question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs -4 dollars and the total cost is -8, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
If each item costs 6 dollars and the total cost is 138, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
Solve for x: -1(x + 8) = -17
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
Solve for x: -11x + 5 = -105
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
If each item costs 10 dollars and the total cost is 90, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
What is -58 × -54?
|
Multiply the numbers.
|
Multiply -58 by -54.
|
3132
|
What is 6^1?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 1 times (0th power = 1).
|
6
|
What is 269 + -103?
|
Add the two numbers.
|
Add 269 and -103.
|
166
|
Solve for x: 1x + 18 = -1
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
Solve: 1x + -17 > -21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -4
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
Solve: -5x + 19 ≥ 4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 3
|
What is -25 - -40?
|
Subtract the second number from the first.
|
Subtract -40 from -25.
|
15
|
What is 36 + 263?
|
Add the two numbers.
|
Add 36 and 263.
|
299
|
What is -53 × -16?
|
Multiply the numbers.
|
Multiply -53 by -16.
|
848
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
Simplify 36/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve for x: 5x + 11 = -34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Solve: -9x + -8 ≤ 73
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -9
|
What is -151 - 91?
|
Subtract the second number from the first.
|
Subtract 91 from -151.
|
-242
|
If each item costs -9 dollars and the total cost is -9, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
Solve for x: -4(x + -5) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
What is 132 ÷ -22?
|
Divide evenly.
|
Divide 132 by -22.
|
-6
|
What is 97 + 195?
|
Add the two numbers.
|
Add 97 and 195.
|
292
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
What is 220 - 208?
|
Subtract the second number from the first.
|
Subtract 208 from 220.
|
12
|
Solve for x: 8x + 28 = 188
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
If each item costs 17 dollars and the total cost is 408, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Simplify 6/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is 115 - 241?
|
Subtract the second number from the first.
|
Subtract 241 from 115.
|
-126
|
What is -242 ÷ 22?
|
Divide evenly.
|
Divide -242 by 22.
|
-11
|
What is 6^1?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 1 times (0th power = 1).
|
6
|
Solve: -2x + 18 > 20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -1
|
Solve for x: 1x + -15 = -2
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Solve for x: -1x + -18 = -35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
What is -25 × -29?
|
Multiply the numbers.
|
Multiply -25 by -29.
|
725
|
What is 82 + 216?
|
Add the two numbers.
|
Add 82 and 216.
|
298
|
Solve: -1x + 18 ≥ 9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
Solve for x: 11x + -16 = 138
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
If each item costs -2 dollars and the total cost is -8, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
Solve for x: 11x + -20 = 123
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
Solve for x: 1x + 18 = 30
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
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
|
What is 45 × -44?
|
Multiply the numbers.
|
Multiply 45 by -44.
|
-1980
|
What is 27 × 0?
|
Multiply the numbers.
|
Multiply 27 by 0.
|
0
|
What is -223 + 230?
|
Add the two numbers.
|
Add -223 and 230.
|
7
|
Solve for x: -8x + 4 = 44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve: 6x + -1 < 29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 5
|
What is -48 + 109?
|
Add the two numbers.
|
Add -48 and 109.
|
61
|
What is -55 ÷ -11?
|
Divide evenly.
|
Divide -55 by -11.
|
5
|
What is -119 + 149?
|
Add the two numbers.
|
Add -119 and 149.
|
30
|
What is 90 ÷ 6?
|
Divide evenly.
|
Divide 90 by 6.
|
15
|
Solve: -7x + 0 ≥ -21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 3
|
What is 275 - 241?
|
Subtract the second number from the first.
|
Subtract 241 from 275.
|
34
|
What is -16 × -55?
|
Multiply the numbers.
|
Multiply -16 by -55.
|
880
|
Simplify 121/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
What is -15 × 14?
|
Multiply the numbers.
|
Multiply -15 by 14.
|
-210
|
Solve: 8x + 8 > -72
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve for x: -8x + 22 = 142
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -2 × 37?
|
Multiply the numbers.
|
Multiply -2 by 37.
|
-74
|
Solve for x: 6x + 20 = 50
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
What is -36 ÷ 4?
|
Divide evenly.
|
Divide -36 by 4.
|
-9
|
Solve: -1x + -20 > -36
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 16
|
Solve: 1x + 3 ≤ -12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
What is -3^5?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 5 times (0th power = 1).
|
-243
|
Simplify -44/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
What is 46 + 86?
|
Add the two numbers.
|
Add 46 and 86.
|
132
|
What is -159 + -197?
|
Add the two numbers.
|
Add -159 and -197.
|
-356
|
Solve for x: 7(x + 15) = 70
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: -1x + -7 ≥ -16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 9
|
What is 93 - -241?
|
Subtract the second number from the first.
|
Subtract -241 from 93.
|
334
|
Solve for x: -5x + -22 = 43
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Solve for x: 3(x + -14) = -54
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
What is -56 - 255?
|
Subtract the second number from the first.
|
Subtract 255 from -56.
|
-311
|
What is 125 - 16?
|
Subtract the second number from the first.
|
Subtract 16 from 125.
|
109
|
What is 33 × -49?
|
Multiply the numbers.
|
Multiply 33 by -49.
|
-1617
|
What is -257 + -246?
|
Add the two numbers.
|
Add -257 and -246.
|
-503
|
What is 170 + -196?
|
Add the two numbers.
|
Add 170 and -196.
|
-26
|
Solve: 3x + 5 ≤ 17
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 4
|
Solve for x: -3x + -28 = -67
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
What is 30 × 35?
|
Multiply the numbers.
|
Multiply 30 by 35.
|
1050
|
Solve for x: -2(x + -9) = 42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve: -4x + 20 ≥ 56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -9
|
What is 222 - -82?
|
Subtract the second number from the first.
|
Subtract -82 from 222.
|
304
|
Solve for x: 7x + 16 = 121
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
Solve: 4x + -2 > -54
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -13
|
What is 77 ÷ 11?
|
Divide evenly.
|
Divide 77 by 11.
|
7
|
What is 149 - 96?
|
Subtract the second number from the first.
|
Subtract 96 from 149.
|
53
|
What is -228 ÷ -19?
|
Divide evenly.
|
Divide -228 by -19.
|
12
|
What is -250 - -156?
|
Subtract the second number from the first.
|
Subtract -156 from -250.
|
-94
|
If each item costs -7 dollars and the total cost is 140, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
Solve for x: -2(x + 2) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Simplify 20/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
Simplify 0/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is -163 - 130?
|
Subtract the second number from the first.
|
Subtract 130 from -163.
|
-293
|
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
|
Solve for x: 10x + 22 = -118
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
What is -252 ÷ 21?
|
Divide evenly.
|
Divide -252 by 21.
|
-12
|
Simplify 4/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
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