conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Work out -49.341 * 3."
},
{
"from": "gpt",
"value": "-148.023"
}
] |
[
{
"from": "human",
"value": "Determine r so that -2*r**2 + 250*r - 492 = 0."
},
{
"from": "gpt",
"value": "2, 123"
}
] |
[
{
"from": "human",
"value": "Determine v so that 2*v**2 - 84*v + 882 = 0."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "Let h(z) = 2*z**4 + 4*z**3 - 5*z**2 - 4. Let i(f) = -4*f**4 - 9*f**3 + 9*f**2 + 9. Let t(w) = -9*h(w) - 4*i(w). Find the third derivative of t(y) wrt y."
},
{
"from": "gpt",
"value": "-48*y"
}
] |
[
{
"from": "human",
"value": "Work out 5 * 0.0699."
},
{
"from": "gpt",
"value": "0.3495"
}
] |
[
{
"from": "human",
"value": "Simplify 3*(sqrt(14)/(sqrt(2) + sqrt(2) + (sqrt(14)/sqrt(112) - sqrt(2)) - sqrt(2)) + 4)."
},
{
"from": "gpt",
"value": "12 + 12*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Solve 2*a - 14 = 24*s - 22*s, 3*s + 4*a = 0 for s."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let k(y) = -y**3 - 5*y**2 + 7*y + 5. Let f be k(-6). Let c be (-2)/6*-3 - f. Let n be (6/9)/(c/3). Is 1 > n?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve 15*l = 7*l + 48 for l."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 88*f**2 - 47*f**2 - 45*f**2."
},
{
"from": "gpt",
"value": "-4*f**2"
}
] |
[
{
"from": "human",
"value": "Solve -29*t + 59*t + 90 = 0 for t."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Evaluate (4/(-70))/((-25)/175)."
},
{
"from": "gpt",
"value": "2/5"
}
] |
[
{
"from": "human",
"value": "What is 7080 to the power of 1/10, to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Four letters picked without replacement from {x: 10, h: 9}. Give prob of sequence xhhh."
},
{
"from": "gpt",
"value": "35/646"
}
] |
[
{
"from": "human",
"value": "In base 3, what is -1 + -101220?"
},
{
"from": "gpt",
"value": "-101221"
}
] |
[
{
"from": "human",
"value": "Suppose -2*b + 0*b = -5*b. Let y(w) be the second derivative of 3*w - 1/18*w**4 + 1/30*w**5 + b + 1/3*w**2 - 1/9*w**3. Factor y(l)."
},
{
"from": "gpt",
"value": "2*(l - 1)**2*(l + 1)/3"
}
] |
[
{
"from": "human",
"value": "Solve 7*o = -13*o + 16*o for o."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -0.2 or -430?"
},
{
"from": "gpt",
"value": "-430"
}
] |
[
{
"from": "human",
"value": "Solve 10*u = 7*u - 9*u for u."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let n be ((-5)/(-10))/((-1)/(-28)). Let j = -10 + n. Factor -j*x**3 - 2*x**2 + 4*x + 2 - 2*x + 2*x**3."
},
{
"from": "gpt",
"value": "-2*(x - 1)*(x + 1)**2"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -41*a*m**2 + 478*a*m + 5*m**2 wrt m?"
},
{
"from": "gpt",
"value": "10 - 82*a"
}
] |
[
{
"from": "human",
"value": "Suppose -5*u + 14 = 4. Suppose -2*b + 6 = -u. Let l be (0 - (-46)/3) + (-3)/9. Solve b*r = r - l for r."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Simplify 4*(sqrt(120)*1 + sqrt(120))/sqrt(6)."
},
{
"from": "gpt",
"value": "16*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Is 845/4 + 2/(-8) a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let c(z) = z + 5. Let d be c(0). What is the units digit of (-8)/(-5) - (-2)/d?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve -3*k = -5*r - 40, 2*k - k = 4*r + 25 for r."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is 2083.5 times 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "In base 9, what is -2 - -12?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is 3207 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "57"
}
] |
[
{
"from": "human",
"value": "What is the g'th term of -71, -150, -243, -356, -495, -666, -875, -1128?"
},
{
"from": "gpt",
"value": "-g**3 - g**2 - 69*g"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 118*p**4 + 3*p**3 - 4*p**2 + 321?"
},
{
"from": "gpt",
"value": "2832*p + 18"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:49 AM and 6:51 AM?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 2*s + 2*d - 42, d + 30 = 2*s - 21. Let x = 2 + s. What is the units digit of x?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 1480 and 888?"
},
{
"from": "gpt",
"value": "4440"
}
] |
[
{
"from": "human",
"value": "Solve 9*p + 4*u - 20 = 7*p, 5*u - 24 = -2*p for p."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let m = 4 - 2. Suppose -j + 3 = m. Solve -p = -j - 4 for p."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the h'th term of 51, 102, 153, 204?"
},
{
"from": "gpt",
"value": "51*h"
}
] |
[
{
"from": "human",
"value": "In base 12, what is 292 - -5?"
},
{
"from": "gpt",
"value": "297"
}
] |
[
{
"from": "human",
"value": "Suppose -267 = -5*r + 8. Suppose 14*n + r = 19*n. Does 7 divide n?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -h + 3*q + 3 = -0*q, 0 = 4*h - 3*q - 12. Sort h, -5, 0 in descending order."
},
{
"from": "gpt",
"value": "h, 0, -5"
}
] |
[
{
"from": "human",
"value": "338*1"
},
{
"from": "gpt",
"value": "338"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) -9 (b) 0 (c) 0.3 (d) -1/7"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Convert 7.961141 centimeters to kilometers."
},
{
"from": "gpt",
"value": "0.00007961141"
}
] |
[
{
"from": "human",
"value": "Which is the third biggest value? (a) 0 (b) 4 (c) -1307"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let c(v) = 2*v**3 - 14*v**2 - 11*v + 24. Let o be c(12). Is 1332 <= o?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 8:42 AM and 7:28 PM?"
},
{
"from": "gpt",
"value": "646"
}
] |
[
{
"from": "human",
"value": "Let 19*n**2/2 + 1823*n - 192 = 0. Calculate n."
},
{
"from": "gpt",
"value": "-192, 2/19"
}
] |
[
{
"from": "human",
"value": "Let m(h) = -h**3 + 11*h**2 - 20*h + 21. Let a be m(9). Solve 3 - 9 = -a*y for y."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 64 or 19?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Let h = -2.4 - -2. Suppose -4 + 2 = z. Let m be 15/22 + z/4. What is the third smallest value in m, 3, h?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What comes next: -75, -150, -225, -300, -375?"
},
{
"from": "gpt",
"value": "-450"
}
] |
[
{
"from": "human",
"value": "In base 5, what is 0 + 103014?"
},
{
"from": "gpt",
"value": "103014"
}
] |
[
{
"from": "human",
"value": "Which is bigger: -2 or -5991?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let u be 2 + (-1)/((-3)/6). Let r = 7 - u. Suppose r*h - 4*h = -4. Solve 3*x - 2 = 4*w + h, -w + x - 1 = 0 for w."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let p(o) = 3*o**2 - 3*o - 2. Let b be p(-2). Let r(w) = 3*w**2 - 1. Let h be r(-3). Let l = h - b. What is the remainder when l is divided by 4?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is (-3)/3*((-6)/(-2))/1?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let t be ((28/12)/(-7))/((-2)/(-8)*-16). Let f(w) be the third derivative of -t*w**5 + 0 - 5/2*w**3 + 5/6*w**4 + 0*w + 26*w**2. Factor f(n)."
},
{
"from": "gpt",
"value": "-5*(n - 3)*(n - 1)"
}
] |
[
{
"from": "human",
"value": "What is -451 (base 12) in base 5?"
},
{
"from": "gpt",
"value": "-10022"
}
] |
[
{
"from": "human",
"value": "What is 159 divided by 53?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Factor 63*l**2/4 + 4*l + 1/4."
},
{
"from": "gpt",
"value": "(7*l + 1)*(9*l + 1)/4"
}
] |
[
{
"from": "human",
"value": "What comes next: -17, -33, -61, -107, -177, -277?"
},
{
"from": "gpt",
"value": "-413"
}
] |
[
{
"from": "human",
"value": "What is 126 + -126 + 1 + -3?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let q(j) = j**2 + 5*j - 9. Let g be q(-8). Let c be (-4)/10 + 6/15. Suppose c = -0*y - y + g. Is y prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 567 and 945."
},
{
"from": "gpt",
"value": "189"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 7246 to the nearest integer?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "What comes next: -60, -51, -42?"
},
{
"from": "gpt",
"value": "-33"
}
] |
[
{
"from": "human",
"value": "What is 302 (base 4) in base 2?"
},
{
"from": "gpt",
"value": "110010"
}
] |
[
{
"from": "human",
"value": "Suppose -2*j - 3*j = 0. Suppose 20 = -8*b + 12*b. Put b, j, -3 in descending order."
},
{
"from": "gpt",
"value": "b, j, -3"
}
] |
[
{
"from": "human",
"value": "What is the product of -0.11 and -4.1?"
},
{
"from": "gpt",
"value": "0.451"
}
] |
[
{
"from": "human",
"value": "Evaluate (1/2)/(2/4)."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Find w, given that -55*w**5/3 - 38*w**4/3 + 43*w**3 - 32*w**2/3 - 4*w/3 = 0."
},
{
"from": "gpt",
"value": "-2, -1/11, 0, 2/5, 1"
}
] |
[
{
"from": "human",
"value": "Evaluate (-74)/26 + (-34)/221."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve -4*c - 18 = 3*b - c, b = -5*c - 18 for b."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 1/10, -2/3, -2/15?"
},
{
"from": "gpt",
"value": "-2/15"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 1712?"
},
{
"from": "gpt",
"value": "2, 107"
}
] |
[
{
"from": "human",
"value": "What is the product of 0.5 and -1.1?"
},
{
"from": "gpt",
"value": "-0.55"
}
] |
[
{
"from": "human",
"value": "Suppose 1 - 3 = -j + q, 4*q - 24 = -4*j. Suppose 0 = -j*p - p + 20. Solve 5*a - 2*a + 1 = -2*y, -p*y = 3*a + 11 for y."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Simplify q*q**(-1)*q**(-17) assuming q is positive."
},
{
"from": "gpt",
"value": "q**(-17)"
}
] |
[
{
"from": "human",
"value": "Factor -s**2/2 + 26*s - 338."
},
{
"from": "gpt",
"value": "-(s - 26)**2/2"
}
] |
[
{
"from": "human",
"value": "Let u = 5.6 - 6. Which is the second smallest value? (a) 3/5 (b) u (c) -0.2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is -6 + (-7 - -13) - (1 - -5)?"
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "-21.9 + -8765"
},
{
"from": "gpt",
"value": "-8786.9"
}
] |
[
{
"from": "human",
"value": "Sort -3, 0, 232, -2, -5."
},
{
"from": "gpt",
"value": "-5, -3, -2, 0, 232"
}
] |
[
{
"from": "human",
"value": "-10a (base 15) to base 11"
},
{
"from": "gpt",
"value": "-1a4"
}
] |
[
{
"from": "human",
"value": "What is 67 minutes after 2:25 AM?"
},
{
"from": "gpt",
"value": "3:32 AM"
}
] |
[
{
"from": "human",
"value": "Which is greater: 12 or 498?"
},
{
"from": "gpt",
"value": "498"
}
] |
[
{
"from": "human",
"value": "Is 217 a factor of 595253072?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -4*m - 3*k = -6*k - 31, -5*m = 4*k for m."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the value of 1*((-12)/(-3))/(-20)?"
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "What is (1 - -6) + -5 + -7?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve -2*w = -2*m - 6, w - 4*m - 13 = -m for w."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -17*a**4 - 2*a**2 + 22*a**2 - 16*a**4 + 6*a**2 wrt a."
},
{
"from": "gpt",
"value": "-792*a"
}
] |
[
{
"from": "human",
"value": "What is (-6)/12*(3 - -1)?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Evaluate (18/5)/3*(-65)/(-104)."
},
{
"from": "gpt",
"value": "3/4"
}
] |
[
{
"from": "human",
"value": "Calculate 3/5*84/63."
},
{
"from": "gpt",
"value": "4/5"
}
] |
[
{
"from": "human",
"value": "Suppose -2*o - 4 + 8 = 0. Suppose -2*v + o + 6 = 0, -v + 4 = 3*w. Let t(z) = z**2 + z + 5. Let m be t(0). Solve -2*r + 1 + m = w for r."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(162) + 1 + -3 + sqrt(162))**2 + sqrt(162) - (-1 + -1 + sqrt(162))."
},
{
"from": "gpt",
"value": "654 - 72*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "Solve -5*k = 92*u - 48 + 78, -2*k = 12 for u."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "((-24)/(-28))/6*(-3)/3"
},
{
"from": "gpt",
"value": "-1/7"
}
] |
[
{
"from": "human",
"value": "How many millilitres are there in 5/4 of a litre?"
},
{
"from": "gpt",
"value": "1250"
}
] |
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