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SAReasoning-75000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|-2x + 10\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	4 ≤ x ≤ 6
Solve: -4x + -2 < -74	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 18
If each item costs 18 dollars and the total cost is -360, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-20
Solve: \|5x + 0\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
What is -28% of 75?	Compute the percent value (integer-safe).	Compute -28/100 × 75.	-21
Solve for x: 1(x + -9) = 4	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
If each item costs 6 dollars and the total cost is -84, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
Solve for x: -6x + 27 = 69	Solve the linear equation.	Subtract b from both sides, then divide by a.	-7
Solve for x: -8(x + 12) = -80	Solve a two-step equation.	Divide both sides by a, then subtract b.	-2
Solve for x: 4(x + -4) = 20	Solve a two-step equation.	Divide both sides by a, then subtract b.	9
Solve: -3x + -10 > 29	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -13
Solve: \|-6x + 14\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 18 dollars and the total cost is -54, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Solve for x: 4x + -28 = 32	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Simplify: 8x + 7x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	15x - 1y
Solve for x: -8x + 3 = 139	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Simplify: 4x + 0x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x - 3y
Solve for x: 4x + 30 = 46	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Simplify: -6x + 0x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x + 7y
What is 80% of 50?	Compute the percent value (integer-safe).	Compute 80/100 × 50.	40
Solve: \|-2x + -12\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-14, 2
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 6 dollars and the total cost is 90, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	15
Solve: 6x + -14 ≤ 88	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 17
Solve for x: 5(x + -13) = -80	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
What is -3% of 1000?	Compute the percent value (integer-safe).	Compute -3/100 × 1000.	-30
Solve: 6x + -14 ≤ 34	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 8
Solve: -5x + -3 < 17	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -4
What is 100% of 6?	Compute the percent value (integer-safe).	Compute 100/100 × 6.	6
Simplify: 2x + 5x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	7x - 2y
What is 46% of 450?	Compute the percent value (integer-safe).	Compute 46/100 × 450.	207
Solve: \|3x + 1\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 67% of 800?	Compute the percent value (integer-safe).	Compute 67/100 × 800.	536
What is 89% of 600?	Compute the percent value (integer-safe).	Compute 89/100 × 600.	534
What is 102% of 400?	Compute the percent value (integer-safe).	Compute 102/100 × 400.	408
Solve: \|-3x + -7\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-9
Solve for x: -7(x + -9) = 7	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
If each item costs 13 dollars and the total cost is -208, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
Solve: 10x + 2 < 82	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 8
What is 65% of 0?	Compute the percent value (integer-safe).	Compute 65/100 × 0.	0
What is 61% of 300?	Compute the percent value (integer-safe).	Compute 61/100 × 300.	183
What is -8% of 175?	Compute the percent value (integer-safe).	Compute -8/100 × 175.	-14
If each item costs 2 dollars and the total cost is -24, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-12
What is 101% of 300?	Compute the percent value (integer-safe).	Compute 101/100 × 300.	303
If each item costs 9 dollars and the total cost is -54, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Simplify: 3x + 2x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x - 2y
Solve: \|7x + 19\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
Solve: 5x + 10 ≤ 90	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 16
Solve for x: 3(x + 0) = -45	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
Solve: -8x + -19 ≥ -163	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 18
Solve for x: -5x + 4 = -76	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
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
Solve: -9x + -2 > 34	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -4
Solve for x: -6x + 14 = 8	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve: \|-8x + -5\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 1
Solve for x: -5(x + -2) = -35	Solve a two-step equation.	Divide both sides by a, then subtract b.	9
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
If each item costs 5 dollars and the total cost is 30, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
Solve: \|-1x + 3\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 5
Solve for x: -7x + -3 = -108	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Solve: \|-1x + 14\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ 33
Solve for x: -6(x + -15) = 60	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: -3x + -16 > -64	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 16
Solve for x: 3x + -18 = 18	Solve the linear equation.	Subtract b from both sides, then divide by a.	12
Solve: \|-3x + -20\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-13 ≤ x ≤ 0
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\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
Solve: -9x + -9 > 18	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -3
What is 12% of 200?	Compute the percent value (integer-safe).	Compute 12/100 × 200.	24
Simplify: -4x + 6x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 2y
Simplify: 7x + -5x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 3y
What is 31% of 500?	Compute the percent value (integer-safe).	Compute 31/100 × 500.	155
Solve: \|8x + 14\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-8x + 15\| = 19	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-7x + -12\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-2
Simplify: -1x + 8x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	7x + 7y
Solve: \|-8x + 20\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve for x: 12x + 7 = 151	Solve the linear equation.	Subtract b from both sides, then divide by a.	12
Solve: \|4x + -2\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 4
Solve: 10x + -2 ≥ -12	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -1
If each item costs 5 dollars and the total cost is 105, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	21
Simplify: 8x + 2x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	10x + 3y
Simplify: -1x + 4x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 6y
Solve: \|8x + -14\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve: -8x + -18 ≥ 118	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -17
Solve for x: 5(x + -10) = 10	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve: 2x + 1 > -9	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -5
What is 24% of 250?	Compute the percent value (integer-safe).	Compute 24/100 × 250.	60
Solve for x: 4x + 14 = 6	Solve the linear equation.	Subtract b from both sides, then divide by a.	-2
If each item costs 1 dollars and the total cost is 17, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
Solve for x: 4(x + 3) = -44	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
Solve: 4x + -3 ≤ 53	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 14
Solve: \|-3x + 1\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 0
Solve: \|5x + -1\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 3
Solve for x: -11x + -10 = 166	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Simplify: 1x + -8x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 5y
What is 17% of 0?	Compute the percent value (integer-safe).	Compute 17/100 × 0.	0
If each item costs 15 dollars and the total cost is 435, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve: \|-7x + -16\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
Solve for x: -3x + -11 = 4	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5