question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -2x + 17 < 13
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 2
|
What is -13 × -50?
|
Multiply the numbers.
|
Multiply -13 by -50.
|
650
|
Solve: 9x + -6 > 111
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 13
|
What is -100 ÷ -5?
|
Divide evenly.
|
Divide -100 by -5.
|
20
|
Solve: 9x + -11 ≤ -65
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -6
|
What is 176 - -107?
|
Subtract the second number from the first.
|
Subtract -107 from 176.
|
283
|
What is 8^1?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 1 times (0th power = 1).
|
8
|
If each item costs 12 dollars and the total cost is 324, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Solve for x: -6(x + -14) = 96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Solve for x: -11x + -2 = 119
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
If each item costs 11 dollars and the total cost is -77, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 0 ÷ 16?
|
Divide evenly.
|
Divide 0 by 16.
|
0
|
Simplify 32/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
Solve for x: -11x + 1 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
If each item costs 14 dollars and the total cost is 126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
Solve for x: 10x + 16 = -134
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
If each item costs 9 dollars and the total cost is 261, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
What is 3^2?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 2 times (0th power = 1).
|
9
|
What is -119 + 227?
|
Add the two numbers.
|
Add -119 and 227.
|
108
|
Solve for x: -12x + -7 = -55
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
Solve for x: -10x + 13 = 73
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
What is 30 × -42?
|
Multiply the numbers.
|
Multiply 30 by -42.
|
-1260
|
Simplify -8/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 104 ÷ -13?
|
Divide evenly.
|
Divide 104 by -13.
|
-8
|
What is -47 × -54?
|
Multiply the numbers.
|
Multiply -47 by -54.
|
2538
|
What is -7^5?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 5 times (0th power = 1).
|
-16807
|
What is 78 + 280?
|
Add the two numbers.
|
Add 78 and 280.
|
358
|
What is 275 - -237?
|
Subtract the second number from the first.
|
Subtract -237 from 275.
|
512
|
What is -47 × -58?
|
Multiply the numbers.
|
Multiply -47 by -58.
|
2726
|
What is 420 ÷ -28?
|
Divide evenly.
|
Divide 420 by -28.
|
-15
|
What is 85 + 216?
|
Add the two numbers.
|
Add 85 and 216.
|
301
|
If each item costs 9 dollars and the total cost is 171, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
19
|
What is -7^5?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 5 times (0th power = 1).
|
-16807
|
Solve: -3x + 1 ≥ 25
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -8
|
Solve for x: -8x + 3 = 67
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
Solve for x: 7(x + -8) = -112
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
What is 2^0?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 0 times (0th power = 1).
|
1
|
Simplify 36/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
If each item costs 17 dollars and the total cost is -136, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-8
|
What is 65 + -130?
|
Add the two numbers.
|
Add 65 and -130.
|
-65
|
What is 104 - -252?
|
Subtract the second number from the first.
|
Subtract -252 from 104.
|
356
|
If each item costs 0 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
If each item costs 12 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
Simplify 12/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
Solve for x: 12x + -12 = 192
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve for x: -7(x + 13) = -70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
Solve for x: 2(x + 13) = 50
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is -194 - 17?
|
Subtract the second number from the first.
|
Subtract 17 from -194.
|
-211
|
Simplify -70/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: -6x + 10 = -2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
What is 208 ÷ 16?
|
Divide evenly.
|
Divide 208 by 16.
|
13
|
What is -200 ÷ 10?
|
Divide evenly.
|
Divide -200 by 10.
|
-20
|
Solve for x: 2x + -16 = -28
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
Simplify -54/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve: -1x + -15 > -11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
Solve: -8x + -9 ≤ -169
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 20
|
Solve: -3x + 16 ≤ 37
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -7
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
Solve for x: 9x + 5 = 140
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
If each item costs -2 dollars and the total cost is 6, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Simplify 16/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is -36 ÷ -6?
|
Divide evenly.
|
Divide -36 by -6.
|
6
|
Simplify 36/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: 1x + -4 = -7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
What is 140 + 257?
|
Add the two numbers.
|
Add 140 and 257.
|
397
|
If each item costs 14 dollars and the total cost is 308, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
What is 323 ÷ -17?
|
Divide evenly.
|
Divide 323 by -17.
|
-19
|
Solve for x: -3(x + 9) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve: 3x + 7 < -14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
Solve for x: 7(x + -1) = 70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve: 9x + 2 ≤ 47
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 5
|
If each item costs -7 dollars and the total cost is -42, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Simplify 80/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
Simplify 99/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
What is -46 + -277?
|
Add the two numbers.
|
Add -46 and -277.
|
-323
|
What is 255 - 236?
|
Subtract the second number from the first.
|
Subtract 236 from 255.
|
19
|
Solve for x: 2x + 9 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
Solve for x: -1(x + -4) = -11
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
What is 188 + -107?
|
Add the two numbers.
|
Add 188 and -107.
|
81
|
Solve for x: -4x + 24 = 40
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is -4^0?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 0 times (0th power = 1).
|
1
|
What is -34 × -22?
|
Multiply the numbers.
|
Multiply -34 by -22.
|
748
|
Simplify 35/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
Solve for x: -7x + 13 = 153
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
What is 5 × -51?
|
Multiply the numbers.
|
Multiply 5 by -51.
|
-255
|
What is -36 × -41?
|
Multiply the numbers.
|
Multiply -36 by -41.
|
1476
|
What is -9 × 17?
|
Multiply the numbers.
|
Multiply -9 by 17.
|
-153
|
Simplify -108/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is 37 × -14?
|
Multiply the numbers.
|
Multiply 37 by -14.
|
-518
|
Solve: 7x + 19 ≤ 68
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 7
|
What is 228 + -105?
|
Add the two numbers.
|
Add 228 and -105.
|
123
|
Solve: -9x + 9 ≤ -171
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 20
|
What is -17 ÷ -17?
|
Divide evenly.
|
Divide -17 by -17.
|
1
|
What is -201 - -85?
|
Subtract the second number from the first.
|
Subtract -85 from -201.
|
-116
|
What is 122 - 168?
|
Subtract the second number from the first.
|
Subtract 168 from 122.
|
-46
|
What is 98 + -2?
|
Add the two numbers.
|
Add 98 and -2.
|
96
|
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