Datasets:

DataMuncher-Labs
/

SAReasoning-25000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|-8x + -2\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is -26% of 300?	Compute the percent value (integer-safe).	Compute -26/100 × 300.	-78
Solve for x: 5x + 28 = 123	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
Solve: \|-6x + 5\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 126% of 200?	Compute the percent value (integer-safe).	Compute 126/100 × 200.	252
If each item costs 13 dollars and the total cost is -221, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
If each item costs 3 dollars and the total cost is 42, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	14
Solve for x: -2x + 14 = 0	Solve the linear equation.	Subtract b from both sides, then divide by a.	7
What is -28% of 50?	Compute the percent value (integer-safe).	Compute -28/100 × 50.	-14
Solve for x: -6(x + 15) = -24	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve: \|-7x + 0\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 7x + -1x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 7y
Solve: \|-8x + -1\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2
Solve: -3x + -8 ≥ -5	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -1
Solve for x: 5(x + -15) = -5	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
Simplify: -2x + -7x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-9x - 3y
What is 91% of 300?	Compute the percent value (integer-safe).	Compute 91/100 × 300.	273
Simplify: 4x + -4x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1y
Solve for x: -6x + 17 = -7	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
If each item costs 13 dollars and the total cost is -26, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-2
Simplify: 5x + -6x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x - 5y
Solve: \|2x + 19\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-15 ≤ x ≤ -4
If each item costs 19 dollars and the total cost is 247, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	13
Solve: \|5x + 9\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ 1
Solve: \|6x + -1\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
If each item costs -8 dollars and the total cost is 48, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve: -2x + 11 ≤ 11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 0
Simplify: -8x + -8x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-16x - 8y
Solve: \|-1x + 10\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 22
Solve: -1x + -13 ≤ -4	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -9
Solve for x: -5(x + 8) = -60	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve for x: -2x + -29 = -7	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
Solve: \|3x + -8\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 7
If each item costs 14 dollars and the total cost is 350, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	25
If each item costs -10 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	0
Solve: 4x + 10 > -70	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -20
If each item costs 7 dollars and the total cost is 154, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	22
Solve: 7x + -14 ≤ 49	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 9
Simplify: 4x + 7x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	11x + 4y
Solve: \|-6x + -1\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 2
If each item costs 2 dollars and the total cost is 30, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	15
Solve: \|8x + 1\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-2x + 12\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	5 ≤ x ≤ 7
Solve: -2x + 4 ≤ -28	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 16
Solve: \|6x + -18\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 6
Solve: 9x + -14 > -41	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -3
Solve: \|6x + 3\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 10x + 4 < 34	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 3
Simplify: 5x + 1x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 8y
Solve for x: 1(x + 2) = 2	Solve a two-step equation.	Divide both sides by a, then subtract b.	0
Solve for x: 11x + -28 = 159	Solve the linear equation.	Subtract b from both sides, then divide by a.	17
Solve for x: -1(x + -15) = 8	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Solve: 6x + 12 > 102	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 15
If each item costs 10 dollars and the total cost is -100, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-10
Solve for x: 9x + 12 = 75	Solve the linear equation.	Subtract b from both sides, then divide by a.	7
Solve: \|-6x + -1\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 2
Solve: \|-7x + -8\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ -1
Solve: 4x + 18 < 66	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 12
If each item costs -6 dollars and the total cost is -162, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	27
Solve for x: 8(x + 8) = 8	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
What is -8% of 125?	Compute the percent value (integer-safe).	Compute -8/100 × 125.	-10
Solve: -1x + -6 ≥ -18	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 12
If each item costs 17 dollars and the total cost is -153, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
Solve: -8x + 10 < 90	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -10
What is -38% of 350?	Compute the percent value (integer-safe).	Compute -38/100 × 350.	-133
What is 67% of 800?	Compute the percent value (integer-safe).	Compute 67/100 × 800.	536
Solve for x: 4x + 22 = 10	Solve the linear equation.	Subtract b from both sides, then divide by a.	-3
Solve: \|-6x + -10\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-4x + 2\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|7x + -17\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 4
If each item costs 3 dollars and the total cost is -33, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-11
Simplify: 5x + 6x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	11x - 7y
Solve for x: 5(x + 7) = 25	Solve a two-step equation.	Divide both sides by a, then subtract b.	-2
Solve for x: -5(x + 7) = -45	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
Solve: \|7x + 13\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -5x + -15 ≤ 45	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -12
Solve: \|-6x + -14\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ 0
What is -17% of 600?	Compute the percent value (integer-safe).	Compute -17/100 × 600.	-102
Simplify: 3x + -2x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x - 2y
Solve for x: 3x + 25 = 40	Solve the linear equation.	Subtract b from both sides, then divide by a.	5
Solve: \|-1x + 19\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	9 ≤ x ≤ 29
Solve: \|1x + 0\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	10, -10
What is 58% of 400?	Compute the percent value (integer-safe).	Compute 58/100 × 400.	232
Solve: -2x + -10 ≥ -10	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 0
Solve: \|-5x + 15\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 5
What is -31% of 600?	Compute the percent value (integer-safe).	Compute -31/100 × 600.	-186
Solve: \|8x + -18\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve for x: 1(x + 2) = 12	Solve a two-step equation.	Divide both sides by a, then subtract b.	10
Solve: \|4x + -2\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -1x + -5 = 1	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
Solve: \|6x + -13\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 2
What is 56% of 100?	Compute the percent value (integer-safe).	Compute 56/100 × 100.	56
Solve for x: 6x + 1 = 1	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
If each item costs -5 dollars and the total cost is 5, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-1
Solve: 2x + -8 ≥ -26	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -9
Solve for x: -5(x + 15) = -105	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
Solve: \|-1x + -13\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-21 ≤ x ≤ -5
If each item costs 9 dollars and the total cost is -153, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Solve for x: -11x + -5 = 94	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Solve for x: -2(x + -2) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	2