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SAReasoning-750000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|2x + -17\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	8 ≤ x ≤ 9
Solve for x: 1(x + -6) = -13	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
Solve for x: -3(x + 11) = -54	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Solve: \|4x + 13\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-2
Solve: \|7x + 13\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
Simplify: -2x + 0x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 7y
Solve: 9x + -7 ≥ -160	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -17
Solve for x: 4x + -10 = 2	Solve the linear equation.	Subtract b from both sides, then divide by a.	3
Solve: \|-3x + -15\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 5x + 1x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x + 5y
What is 18% of 500?	Compute the percent value (integer-safe).	Compute 18/100 × 500.	90
Solve: -5x + -2 > -52	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 10
Solve: \|-7x + 16\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 5
Solve for x: 5x + -30 = -65	Solve the linear equation.	Subtract b from both sides, then divide by a.	-7
Solve for x: -12x + -18 = 198	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve for x: -2x + -11 = 5	Solve the linear equation.	Subtract b from both sides, then divide by a.	-8
Solve for x: 1(x + -12) = -7	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: \|7x + -12\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 8x + 2 ≤ -62	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -8
Solve: \|-1x + 10\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	10
Solve: 2x + 14 ≤ -10	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -12
Solve: \|3x + 9\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	1, -7
What is 22% of 150?	Compute the percent value (integer-safe).	Compute 22/100 × 150.	33
Solve: -8x + -15 ≤ 145	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -20
Solve: \|2x + 4\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-9 ≤ x ≤ 5
Simplify: -6x + -5x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x - 7y
Solve: \|-4x + 4\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 2
If each item costs 8 dollars and the total cost is -112, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
What is 17% of 400?	Compute the percent value (integer-safe).	Compute 17/100 × 400.	68
Simplify: 3x + -7x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x - 3y
What is 112% of 50?	Compute the percent value (integer-safe).	Compute 112/100 × 50.	56
Solve: 5x + -4 > 11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 3
Simplify: -3x + -4x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 8y
Solve: 10x + 15 ≥ 85	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 7
If each item costs 11 dollars and the total cost is -187, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Solve: \|-3x + -1\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
Solve for x: 1(x + -1) = -2	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
What is -25% of 20?	Compute the percent value (integer-safe).	Compute -25/100 × 20.	-5
Solve for x: 5(x + -10) = -35	Solve a two-step equation.	Divide both sides by a, then subtract b.	3
Solve for x: -9x + 11 = 56	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Simplify: -4x + 3x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x + 6y
If each item costs 15 dollars and the total cost is 75, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	5
What is 33% of 100?	Compute the percent value (integer-safe).	Compute 33/100 × 100.	33
Solve: -10x + -16 ≤ -146	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 13
Solve for x: -9x + 26 = -64	Solve the linear equation.	Subtract b from both sides, then divide by a.	10
Solve: 4x + 0 > 28	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 7
Solve: 2x + 9 ≥ 33	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 12
Simplify: -7x + -6x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-13x - 4y
Solve for x: -7(x + -15) = 49	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
Solve: \|-1x + -13\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-16 ≤ x ≤ -10
Solve: \|-3x + 1\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -1x + 4x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 4y
Solve for x: -2x + 28 = 22	Solve the linear equation.	Subtract b from both sides, then divide by a.	3
Solve: \|-5x + 10\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-6x + 5\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	3
If each item costs 5 dollars and the total cost is 115, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	23
What is -22% of 400?	Compute the percent value (integer-safe).	Compute -22/100 × 400.	-88
Solve for x: -4x + 24 = 20	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
What is 54% of 150?	Compute the percent value (integer-safe).	Compute 54/100 × 150.	81
Solve: \|1x + -16\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 30
Simplify: -8x + 6x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 6y
Simplify: -4x + -8x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-12x - 7y
Solve: 4x + -17 ≤ 31	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 12
Solve: 1x + 16 > 8	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -8
Solve for x: -10x + -1 = -191	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
Solve: -10x + 18 > -122	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 14
Solve for x: 2x + -20 = 2	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
What is 90% of 90?	Compute the percent value (integer-safe).	Compute 90/100 × 90.	81
If each item costs 10 dollars and the total cost is -160, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
Solve for x: 10x + -4 = -184	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve: \|6x + -10\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -9x + -17 > 1	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -2
Solve for x: -2(x + 13) = -18	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
Solve for x: -4(x + 5) = -60	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
If each item costs 12 dollars and the total cost is -36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Simplify: 4x + 4x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x + 6y
Solve: \|1x + -18\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	18 ≤ x ≤ 18
If each item costs -5 dollars and the total cost is -90, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	18
What is 112% of 75?	Compute the percent value (integer-safe).	Compute 112/100 × 75.	84
Simplify: 1x + -3x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 3y
Solve for x: -2(x + -2) = -16	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
If each item costs 5 dollars and the total cost is 130, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	26
Solve: -2x + 11 ≥ 21	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -5
What is 67% of 800?	Compute the percent value (integer-safe).	Compute 67/100 × 800.	536
Solve: \|-6x + -15\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Simplify: 3x + 3x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 6y
Solve: \|-6x + 11\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 7x + -6x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 1y
Solve: \|-2x + -13\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-16 ≤ x ≤ 3
If each item costs -7 dollars and the total cost is -77, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	11
Solve for x: -7(x + 2) = -105	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Simplify: -2x + -6x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x - 8y
If each item costs -6 dollars and the total cost is -120, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	20
Solve: \|-6x + 9\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 4
Solve for x: 7(x + 12) = 49	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve for x: -1(x + -11) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
Solve: -7x + -8 < -71	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 9
Solve for x: 3(x + -5) = 30	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve: \|-1x + -4\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-9 ≤ x ≤ 1
Solve: \|-3x + 11\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 6