question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -1x + -17 ≥ -1
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -16
|
What is -112 ÷ 28?
|
Divide evenly.
|
Divide -112 by 28.
|
-4
|
What is -146 + 68?
|
Add the two numbers.
|
Add -146 and 68.
|
-78
|
What is 154 - -11?
|
Subtract the second number from the first.
|
Subtract -11 from 154.
|
165
|
If each item costs 20 dollars and the total cost is -240, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Solve for x: 3x + 8 = -16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
If each item costs -1 dollars and the total cost is 7, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
What is 14 × -44?
|
Multiply the numbers.
|
Multiply 14 by -44.
|
-616
|
Simplify -22/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is 11 × -10?
|
Multiply the numbers.
|
Multiply 11 by -10.
|
-110
|
If each item costs -1 dollars and the total cost is -12, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
Solve for x: -8(x + -1) = 104
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is 84 - 55?
|
Subtract the second number from the first.
|
Subtract 55 from 84.
|
29
|
What is 162 + -247?
|
Add the two numbers.
|
Add 162 and -247.
|
-85
|
What is 241 + 5?
|
Add the two numbers.
|
Add 241 and 5.
|
246
|
Solve for x: -2(x + -1) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
What is 217 - 36?
|
Subtract the second number from the first.
|
Subtract 36 from 217.
|
181
|
What is -179 + -262?
|
Add the two numbers.
|
Add -179 and -262.
|
-441
|
Solve for x: -4(x + -9) = 76
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is 245 - -75?
|
Subtract the second number from the first.
|
Subtract -75 from 245.
|
320
|
What is -40 × -26?
|
Multiply the numbers.
|
Multiply -40 by -26.
|
1040
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
Simplify -18/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is 12 - -113?
|
Subtract the second number from the first.
|
Subtract -113 from 12.
|
125
|
Solve: -1x + 4 ≤ -14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
Solve: -4x + -20 ≥ -72
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 13
|
Solve for x: -2x + -24 = -16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve: 2x + 4 < -2
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -3
|
What is 100 + 110?
|
Add the two numbers.
|
Add 100 and 110.
|
210
|
Simplify -90/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is -1^3?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 3 times (0th power = 1).
|
-1
|
What is -31 × 59?
|
Multiply the numbers.
|
Multiply -31 by 59.
|
-1829
|
What is 1^4?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 4 times (0th power = 1).
|
1
|
What is 196 - 24?
|
Subtract the second number from the first.
|
Subtract 24 from 196.
|
172
|
Solve for x: 3x + -13 = 11
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
What is 57 × -29?
|
Multiply the numbers.
|
Multiply 57 by -29.
|
-1653
|
What is -285 + 213?
|
Add the two numbers.
|
Add -285 and 213.
|
-72
|
What is -78 ÷ 6?
|
Divide evenly.
|
Divide -78 by 6.
|
-13
|
What is 22 × -4?
|
Multiply the numbers.
|
Multiply 22 by -4.
|
-88
|
What is -184 - -38?
|
Subtract the second number from the first.
|
Subtract -38 from -184.
|
-146
|
What is 47 × 21?
|
Multiply the numbers.
|
Multiply 47 by 21.
|
987
|
What is -151 - 235?
|
Subtract the second number from the first.
|
Subtract 235 from -151.
|
-386
|
Solve: -8x + -5 ≥ 27
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -4
|
What is -69 - 116?
|
Subtract the second number from the first.
|
Subtract 116 from -69.
|
-185
|
What is -360 ÷ -18?
|
Divide evenly.
|
Divide -360 by -18.
|
20
|
What is -364 ÷ 26?
|
Divide evenly.
|
Divide -364 by 26.
|
-14
|
Solve for x: -10x + 17 = -53
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
Simplify -54/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is -92 - -261?
|
Subtract the second number from the first.
|
Subtract -261 from -92.
|
169
|
What is -78 ÷ 6?
|
Divide evenly.
|
Divide -78 by 6.
|
-13
|
Solve for x: -4(x + 2) = 44
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Simplify 48/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve for x: -10x + -24 = 26
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is 92 + 216?
|
Add the two numbers.
|
Add 92 and 216.
|
308
|
What is 130 ÷ 13?
|
Divide evenly.
|
Divide 130 by 13.
|
10
|
What is 9 ÷ 3?
|
Divide evenly.
|
Divide 9 by 3.
|
3
|
Solve: 4x + -16 ≤ -60
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -11
|
Solve for x: -7(x + 0) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
6
|
What is 2^2?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 2 times (0th power = 1).
|
4
|
What is 236 - -98?
|
Subtract the second number from the first.
|
Subtract -98 from 236.
|
334
|
If each item costs 11 dollars and the total cost is -143, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
What is -45 ÷ 15?
|
Divide evenly.
|
Divide -45 by 15.
|
-3
|
Solve for x: 6x + -29 = 37
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
11
|
Simplify 0/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
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.
|
30
|
Solve for x: 10x + 19 = -171
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is 3^5?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 5 times (0th power = 1).
|
243
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
What is 74 + 123?
|
Add the two numbers.
|
Add 74 and 123.
|
197
|
What is 7 ÷ 7?
|
Divide evenly.
|
Divide 7 by 7.
|
1
|
If each item costs 20 dollars and the total cost is 180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
Simplify -80/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
If each item costs 4 dollars and the total cost is 108, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Simplify -20/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is 25 ÷ -25?
|
Divide evenly.
|
Divide 25 by -25.
|
-1
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: 7(x + 4) = 126
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
Simplify 3/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is -106 - -69?
|
Subtract the second number from the first.
|
Subtract -69 from -106.
|
-37
|
Solve for x: 5(x + 1) = 25
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
Solve for x: 11x + 11 = 209
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
What is 3 × -8?
|
Multiply the numbers.
|
Multiply 3 by -8.
|
-24
|
What is -43 + 265?
|
Add the two numbers.
|
Add -43 and 265.
|
222
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
What is 21 - -5?
|
Subtract the second number from the first.
|
Subtract -5 from 21.
|
26
|
If each item costs 13 dollars and the total cost is -52, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-4
|
Simplify 64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is -30 + 143?
|
Add the two numbers.
|
Add -30 and 143.
|
113
|
What is -6 + 72?
|
Add the two numbers.
|
Add -6 and 72.
|
66
|
Solve for x: -4x + -24 = 4
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
Simplify 21/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
Solve: 1x + 20 ≤ 5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
Solve for x: 8x + 7 = -1
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
What is 96 - 65?
|
Subtract the second number from the first.
|
Subtract 65 from 96.
|
31
|
What is 39 × -23?
|
Multiply the numbers.
|
Multiply 39 by -23.
|
-897
|
If each item costs 2 dollars and the total cost is -18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is 194 + 187?
|
Add the two numbers.
|
Add 194 and 187.
|
381
|
What is -144 + -117?
|
Add the two numbers.
|
Add -144 and -117.
|
-261
|
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