question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -7x + -17 < 81
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -14
|
Solve: 1x + 12 ≤ 30
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
Simplify -99/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Simplify 90/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is 258 - -253?
|
Subtract the second number from the first.
|
Subtract -253 from 258.
|
511
|
Solve for x: 7(x + 2) = -56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve: -5x + -11 ≤ -51
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 8
|
If each item costs -3 dollars and the total cost is -9, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
What is -6^1?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 1 times (0th power = 1).
|
-6
|
What is -278 - -148?
|
Subtract the second number from the first.
|
Subtract -148 from -278.
|
-130
|
Solve for x: -2(x + 13) = 2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is -15 ÷ -5?
|
Divide evenly.
|
Divide -15 by -5.
|
3
|
Solve for x: -8(x + -6) = 144
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is 60 ÷ 4?
|
Divide evenly.
|
Divide 60 by 4.
|
15
|
What is 20 × 30?
|
Multiply the numbers.
|
Multiply 20 by 30.
|
600
|
Solve for x: -6x + -4 = 110
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is 4^3?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 3 times (0th power = 1).
|
64
|
Solve for x: 3x + -27 = 3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Solve for x: -6(x + -4) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
What is 114 + -261?
|
Add the two numbers.
|
Add 114 and -261.
|
-147
|
What is 1 × -60?
|
Multiply the numbers.
|
Multiply 1 by -60.
|
-60
|
What is -43 × 8?
|
Multiply the numbers.
|
Multiply -43 by 8.
|
-344
|
Solve for x: -12x + 1 = 217
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
If each item costs -9 dollars and the total cost is -126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
Solve for x: -6(x + 14) = -66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Solve: -7x + -17 > -157
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 20
|
If each item costs 1 dollars and the total cost is -3, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve: 9x + 16 ≤ -11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
What is 269 + 40?
|
Add the two numbers.
|
Add 269 and 40.
|
309
|
What is -194 - -26?
|
Subtract the second number from the first.
|
Subtract -26 from -194.
|
-168
|
If each item costs 16 dollars and the total cost is 336, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
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
|
What is -77 - -76?
|
Subtract the second number from the first.
|
Subtract -76 from -77.
|
-1
|
What is -49 - 295?
|
Subtract the second number from the first.
|
Subtract 295 from -49.
|
-344
|
Solve: 1x + -11 ≤ -4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 7
|
Solve: 1x + 4 > -5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
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: -7x + -12 < 79
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
What is -51 - -101?
|
Subtract the second number from the first.
|
Subtract -101 from -51.
|
50
|
Solve: -3x + -1 > -43
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 14
|
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: -2x + -16 = 22
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is 85 - -253?
|
Subtract the second number from the first.
|
Subtract -253 from 85.
|
338
|
What is -166 - 256?
|
Subtract the second number from the first.
|
Subtract 256 from -166.
|
-422
|
What is -8^1?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 1 times (0th power = 1).
|
-8
|
What is 98 ÷ -7?
|
Divide evenly.
|
Divide 98 by -7.
|
-14
|
What is -248 + 138?
|
Add the two numbers.
|
Add -248 and 138.
|
-110
|
What is 2^4?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 4 times (0th power = 1).
|
16
|
What is 34 × -19?
|
Multiply the numbers.
|
Multiply 34 by -19.
|
-646
|
What is -48 - -20?
|
Subtract the second number from the first.
|
Subtract -20 from -48.
|
-28
|
What is -43 × 52?
|
Multiply the numbers.
|
Multiply -43 by 52.
|
-2236
|
Solve: -9x + -17 < 163
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -20
|
Solve for x: -1(x + -3) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Solve for x: 8(x + 5) = 128
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
Solve for x: -1x + -3 = 9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
Solve for x: -8(x + -2) = 88
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve for x: 1(x + -9) = 5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
If each item costs 17 dollars and the total cost is 34, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
2
|
Solve: -4x + 3 ≤ 15
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
What is 270 + -172?
|
Add the two numbers.
|
Add 270 and -172.
|
98
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
What is -173 - -78?
|
Subtract the second number from the first.
|
Subtract -78 from -173.
|
-95
|
Solve for x: 6x + 10 = 118
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
Solve: 6x + -4 < -94
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -15
|
Solve for x: 11x + -3 = -91
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
Solve for x: 5(x + 11) = 80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
What is -147 ÷ 21?
|
Divide evenly.
|
Divide -147 by 21.
|
-7
|
If each item costs 20 dollars and the total cost is 360, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
Solve for x: 6(x + -14) = -114
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
What is 257 + 238?
|
Add the two numbers.
|
Add 257 and 238.
|
495
|
What is -2^0?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 0 times (0th power = 1).
|
1
|
What is -1^4?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 4 times (0th power = 1).
|
1
|
What is 312 ÷ -24?
|
Divide evenly.
|
Divide 312 by -24.
|
-13
|
What is -67 + -111?
|
Add the two numbers.
|
Add -67 and -111.
|
-178
|
Solve for x: 8(x + 10) = 160
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is -287 - -53?
|
Subtract the second number from the first.
|
Subtract -53 from -287.
|
-234
|
Solve: -1x + -15 ≥ -18
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 3
|
What is -35 × -57?
|
Multiply the numbers.
|
Multiply -35 by -57.
|
1995
|
Solve: 7x + -2 ≤ -23
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -3
|
Solve for x: 10x + 30 = 150
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
Solve: -6x + -20 < -134
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 19
|
Simplify -18/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is -1^5?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 5 times (0th power = 1).
|
-1
|
What is -235 + 134?
|
Add the two numbers.
|
Add -235 and 134.
|
-101
|
What is -38 ÷ -19?
|
Divide evenly.
|
Divide -38 by -19.
|
2
|
What is 0 ÷ 30?
|
Divide evenly.
|
Divide 0 by 30.
|
0
|
What is -185 - -284?
|
Subtract the second number from the first.
|
Subtract -284 from -185.
|
99
|
What is 262 + -218?
|
Add the two numbers.
|
Add 262 and -218.
|
44
|
What is -271 - -233?
|
Subtract the second number from the first.
|
Subtract -233 from -271.
|
-38
|
Solve for x: 5(x + 3) = 55
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Solve for x: 2(x + 11) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is -271 - -257?
|
Subtract the second number from the first.
|
Subtract -257 from -271.
|
-14
|
Solve for x: 1(x + -7) = -22
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 94 - -230?
|
Subtract the second number from the first.
|
Subtract -230 from 94.
|
324
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
Solve: -6x + -13 ≥ -79
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 11
|
Simplify 12/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
Simplify 15/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 78 ÷ -6?
|
Divide evenly.
|
Divide 78 by -6.
|
-13
|
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