question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 5x + -15 ≤ -30
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
Solve for x: 3(x + 9) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
If each item costs 6 dollars and the total cost is -54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is 141 + 159?
|
Add the two numbers.
|
Add 141 and 159.
|
300
|
What is 155 - -247?
|
Subtract the second number from the first.
|
Subtract -247 from 155.
|
402
|
If each item costs 6 dollars and the total cost is 72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
If each item costs -2 dollars and the total cost is -56, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
What is -48 × -47?
|
Multiply the numbers.
|
Multiply -48 by -47.
|
2256
|
If each item costs 14 dollars and the total cost is 294, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
Solve for x: -9x + -27 = -99
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Simplify 52/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Simplify 64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Simplify -80/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
Solve for x: -6(x + 8) = 36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is -182 + -43?
|
Add the two numbers.
|
Add -182 and -43.
|
-225
|
Solve for x: 8x + 11 = -61
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
What is -6 ÷ 2?
|
Divide evenly.
|
Divide -6 by 2.
|
-3
|
Solve for x: 11x + 9 = 185
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
What is -285 + 252?
|
Add the two numbers.
|
Add -285 and 252.
|
-33
|
What is -50 × 53?
|
Multiply the numbers.
|
Multiply -50 by 53.
|
-2650
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
What is -220 ÷ -20?
|
Divide evenly.
|
Divide -220 by -20.
|
11
|
What is 5 × -3?
|
Multiply the numbers.
|
Multiply 5 by -3.
|
-15
|
Solve for x: -4x + 20 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
What is 57 × 20?
|
Multiply the numbers.
|
Multiply 57 by 20.
|
1140
|
What is 5^0?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 0 times (0th power = 1).
|
1
|
What is -294 + -227?
|
Add the two numbers.
|
Add -294 and -227.
|
-521
|
Solve: -10x + -19 ≤ 21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -4
|
Solve for x: -8(x + -9) = 168
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve for x: -3x + -10 = 32
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Solve for x: 7(x + 8) = 84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve for x: -1(x + 6) = -18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Simplify -32/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 133 - -222?
|
Subtract the second number from the first.
|
Subtract -222 from 133.
|
355
|
What is -299 - 162?
|
Subtract the second number from the first.
|
Subtract 162 from -299.
|
-461
|
What is 4^1?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 1 times (0th power = 1).
|
4
|
What is -294 - -102?
|
Subtract the second number from the first.
|
Subtract -102 from -294.
|
-192
|
Solve: -1x + 2 < -4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
What is -233 + -77?
|
Add the two numbers.
|
Add -233 and -77.
|
-310
|
If each item costs 19 dollars and the total cost is -57, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
What is 44 × -32?
|
Multiply the numbers.
|
Multiply 44 by -32.
|
-1408
|
What is 272 - 217?
|
Subtract the second number from the first.
|
Subtract 217 from 272.
|
55
|
What is 2^0?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 0 times (0th power = 1).
|
1
|
What is -230 + 17?
|
Add the two numbers.
|
Add -230 and 17.
|
-213
|
What is 33 × -55?
|
Multiply the numbers.
|
Multiply 33 by -55.
|
-1815
|
What is 4^4?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 4 times (0th power = 1).
|
256
|
What is 264 - 218?
|
Subtract the second number from the first.
|
Subtract 218 from 264.
|
46
|
What is -4^3?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 3 times (0th power = 1).
|
-64
|
If each item costs 11 dollars and the total cost is -176, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
What is -68 - 243?
|
Subtract the second number from the first.
|
Subtract 243 from -68.
|
-311
|
What is -272 + -65?
|
Add the two numbers.
|
Add -272 and -65.
|
-337
|
If each item costs -7 dollars and the total cost is 49, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
Simplify 54/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Simplify -120/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
Simplify 12/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is -131 + -132?
|
Add the two numbers.
|
Add -131 and -132.
|
-263
|
What is -15 × -34?
|
Multiply the numbers.
|
Multiply -15 by -34.
|
510
|
Solve for x: -3(x + -12) = 81
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
Simplify -78/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Solve: -1x + -2 ≤ -15
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 13
|
Solve: -4x + 17 < -63
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 20
|
Simplify 48/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
What is 17 × 8?
|
Multiply the numbers.
|
Multiply 17 by 8.
|
136
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
Solve for x: 5x + 17 = 87
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
Solve for x: 7(x + -8) = 49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: 2x + -3 < 9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
What is -36 × 28?
|
Multiply the numbers.
|
Multiply -36 by 28.
|
-1008
|
What is -249 - -256?
|
Subtract the second number from the first.
|
Subtract -256 from -249.
|
7
|
Solve for x: 7x + 23 = 44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is -420 ÷ -30?
|
Divide evenly.
|
Divide -420 by -30.
|
14
|
Solve: -1x + 14 ≥ 31
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -17
|
What is 7^0?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 0 times (0th power = 1).
|
1
|
What is 57 × 50?
|
Multiply the numbers.
|
Multiply 57 by 50.
|
2850
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
Solve: 3x + 7 < 7
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 0
|
What is -18 × -34?
|
Multiply the numbers.
|
Multiply -18 by -34.
|
612
|
What is -64 + 151?
|
Add the two numbers.
|
Add -64 and 151.
|
87
|
Simplify 100/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
What is -60 ÷ 5?
|
Divide evenly.
|
Divide -60 by 5.
|
-12
|
Solve for x: 8x + 5 = -35
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
Solve for x: 9x + -14 = -194
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
What is 9 - 28?
|
Subtract the second number from the first.
|
Subtract 28 from 9.
|
-19
|
What is -13 × -30?
|
Multiply the numbers.
|
Multiply -13 by -30.
|
390
|
If each item costs 16 dollars and the total cost is 272, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
If each item costs -7 dollars and the total cost is -203, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
What is -267 + 274?
|
Add the two numbers.
|
Add -267 and 274.
|
7
|
If each item costs 5 dollars and the total cost is -45, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
Simplify 24/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
If each item costs 18 dollars and the total cost is 540, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is 33 × 31?
|
Multiply the numbers.
|
Multiply 33 by 31.
|
1023
|
If each item costs 7 dollars and the total cost is -7, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
Simplify 5/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve for x: 1x + -28 = -30
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
What is -60 × -47?
|
Multiply the numbers.
|
Multiply -60 by -47.
|
2820
|
Solve: 1x + -16 < -6
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 10
|
Solve for x: 1(x + -12) = -1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve for x: -10x + 3 = -67
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
What is 25 × 58?
|
Multiply the numbers.
|
Multiply 25 by 58.
|
1450
|
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