conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Let b(s) be the second derivative of -s - 3/80*s**5 - 5/8*s**3 - 1/4*s**4 + 0 - 3/4*s**2. Determine m so that b(m) = 0."
},
{
"from": "gpt",
"value": "-2, -1"
}
] |
[
{
"from": "human",
"value": "Calculate 5/(-20)*(-8)/(-20)."
},
{
"from": "gpt",
"value": "-1/10"
}
] |
[
{
"from": "human",
"value": "Let g = 1 - 0.92. Let w = 191 + -190. Which is the second biggest value? (a) g (b) w (c) 0.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let d(o) = 3 - o. Let i(l) = -2*l - 5. Let h be i(-4). Suppose h*g - 18 = -0. Let k be d(g). Let v(j) = j**2 + j. Determine v(k)."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let v(p) = -p**2 - 26*p - 113. Give v(-14)."
},
{
"from": "gpt",
"value": "55"
}
] |
[
{
"from": "human",
"value": "Put -4, 1, -11, -3 in decreasing order."
},
{
"from": "gpt",
"value": "1, -3, -4, -11"
}
] |
[
{
"from": "human",
"value": "What is 6/5 of a microsecond in nanoseconds?"
},
{
"from": "gpt",
"value": "1200"
}
] |
[
{
"from": "human",
"value": "What is the value of (1/14)/(23/(-92))?"
},
{
"from": "gpt",
"value": "-2/7"
}
] |
[
{
"from": "human",
"value": "Round -0.0766 to 1 decimal place."
},
{
"from": "gpt",
"value": "-0.1"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 6221."
},
{
"from": "gpt",
"value": "6221"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -g**2*s**3*w - 2*g**2*s**2*w + 189*g**2*s - 287*g*s**3*w + g*s*w + 2*s**2*w wrt s."
},
{
"from": "gpt",
"value": "-6*g**2*w - 1722*g*w"
}
] |
[
{
"from": "human",
"value": "Simplify 6*sqrt(40)/(sqrt(48)/(sqrt(6)*-3))."
},
{
"from": "gpt",
"value": "-18*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 951 is divided by 59?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Solve -b - 40 = 5*q, 6 - 44 = 2*b + 4*q for b."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let m be 2/8 - (-92)/16. Let t = m + -5. What is the biggest value in t, 2, -3?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let p = 29 + -23. Solve v + z = -p, 2 = -0*v - 2*v + 3*z for v."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Sort 2, -3, -178, -1 in increasing order."
},
{
"from": "gpt",
"value": "-178, -3, -1, 2"
}
] |
[
{
"from": "human",
"value": "Let 2*i**4/7 + 8*i**3/7 + 12*i**2/7 + 8*i/7 + 2/7 = 0. What is i?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Calculate ((-45)/(-10))/(10/((-20)/(-3)))."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the f'th term of 1667, 1663, 1659, 1655, 1651?"
},
{
"from": "gpt",
"value": "1671 - 4*f"
}
] |
[
{
"from": "human",
"value": "Suppose 4*u - 14 = 3*u. Let q = 21 - 9. Let v = 42 + q. What is the remainder when v is divided by u?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Product of 0.4 and -48.07."
},
{
"from": "gpt",
"value": "-19.228"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 245 is divided by 83."
},
{
"from": "gpt",
"value": "79"
}
] |
[
{
"from": "human",
"value": "Is 44633 a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -n + 4*n - 2*j - 7, n - 2*j - 5 = 0. Let o(k) = k**3 - 7*k**2 + 6*k + 4. Let c be o(6). Suppose -c*a - 15 = 5. Sort a, n, 3."
},
{
"from": "gpt",
"value": "a, n, 3"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) 7 (b) 0.1 (c) 2/9"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let d be (2 + (-212)/16)*-4. Suppose u + 3*y - d = y, -5*u = -3*y - 173. Is u a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the value of (1/(-4))/(12/(-432) - 0)?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(209)/(-6*sqrt(33)/sqrt(3))."
},
{
"from": "gpt",
"value": "-sqrt(19)/6"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 1536399906."
},
{
"from": "gpt",
"value": "2, 3, 613, 417727"
}
] |
[
{
"from": "human",
"value": "Simplify (-4 + sqrt(252))**2 + -1."
},
{
"from": "gpt",
"value": "267 - 48*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -14*z + 31*z - 42 - 16*z."
},
{
"from": "gpt",
"value": "z - 42"
}
] |
[
{
"from": "human",
"value": "What is the biggest value in -4/3, -106, 0.1?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "Let a(m) be the third derivative of -m**7/105 - m**6/360 - 28*m**2. Let a(o) = 0. Calculate o."
},
{
"from": "gpt",
"value": "-1/6, 0"
}
] |
[
{
"from": "human",
"value": "Let m(z) = z**3 + 3*z**2 + 2*z + 1. Let q be m(-2). Let r be -1 + -2 + 485 + q. Let o = -2424/5 + r. Which is bigger: o or -2?"
},
{
"from": "gpt",
"value": "o"
}
] |
[
{
"from": "human",
"value": "Let l = -0.03 + -2.97. Which is smaller: l or -1?"
},
{
"from": "gpt",
"value": "l"
}
] |
[
{
"from": "human",
"value": "Evaluate 2 + (4 - 3) - (4 + 0)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -111101 + 100001?"
},
{
"from": "gpt",
"value": "-11100"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -39? (a) 2/7 (b) -3/5 (c) -2 (d) 3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is 6/5 of a decade in months?"
},
{
"from": "gpt",
"value": "144"
}
] |
[
{
"from": "human",
"value": "What is 7054 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "84"
}
] |
[
{
"from": "human",
"value": "What comes next: 1610, 3257, 4878, 6461, 7994?"
},
{
"from": "gpt",
"value": "9465"
}
] |
[
{
"from": "human",
"value": "What is 151141.8 years in millennia?"
},
{
"from": "gpt",
"value": "151.1418"
}
] |
[
{
"from": "human",
"value": "What is (-1)/(-2)*(-70)/(-175)?"
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "77 (base 8) to base 2"
},
{
"from": "gpt",
"value": "111111"
}
] |
[
{
"from": "human",
"value": "Let q(p) = 0 - 1 + 2*p**2 - 5*p + 1. Let m be q(4). Calculate the greatest common divisor of 6 and m."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Is 0.4 != -3571?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let g(m) = -m**3 + 11*m**2 - 9*m + 6. Let r be g(10). Let l be (-6)/9 - r/(-6). Solve 0 = 3*j - 8 + l for j."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve 13 = 5*w + 8 for w."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the third smallest value in -53, 0.05, 5?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-82)/20 + 4)/((-12)/(-10))?"
},
{
"from": "gpt",
"value": "-1/12"
}
] |
[
{
"from": "human",
"value": "What is the next term in -1549, -1556, -1575, -1612, -1673, -1764, -1891?"
},
{
"from": "gpt",
"value": "-2060"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0.07 in 11, -6, 0.2, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is twenty-one halves of a kilogram in grams?"
},
{
"from": "gpt",
"value": "10500"
}
] |
[
{
"from": "human",
"value": "Let 2*z**2 + 2/3*z**4 + 0 + 2*z**3 + 2/3*z = 0. Calculate z."
},
{
"from": "gpt",
"value": "-1, 0"
}
] |
[
{
"from": "human",
"value": "Suppose -4*n + 5 - 17 = 0. Suppose 5*t - 5 = 5*p, 2*p - 5*p - 27 = 3*t. Put t, 2, n in decreasing order."
},
{
"from": "gpt",
"value": "2, n, t"
}
] |
[
{
"from": "human",
"value": "Suppose 2*v = -w - 10, -4*w + 5*v - 13 = -38. Suppose w = 2*o - 66 + 12. Suppose 0 = -3*i + o + 6. Calculate the greatest common factor of i and 55."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let j = -79 + 79.4. What is the smallest value in -0.4, j, -1/9, -0.3?"
},
{
"from": "gpt",
"value": "-0.4"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 1037545750?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Factor -4*i**3 - 4480*i**2 - 8948*i - 4472."
},
{
"from": "gpt",
"value": "-4*(i + 1)**2*(i + 1118)"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-12)/10)/(32/(-20))."
},
{
"from": "gpt",
"value": "3/4"
}
] |
[
{
"from": "human",
"value": "Suppose -83 = -p - 27. Suppose b - 8 = -0*b. What is the greatest common divisor of b and p?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "What is the a'th term of 68, 108, 158, 224, 312?"
},
{
"from": "gpt",
"value": "a**3 - a**2 + 36*a + 32"
}
] |
[
{
"from": "human",
"value": "Let n be 3/(-1) + 6/2. Let x = 3 - 7. Let w be x*1 - 6/(-2). Put w, -2, n in descending order."
},
{
"from": "gpt",
"value": "n, w, -2"
}
] |
[
{
"from": "human",
"value": "Let f(k) = k**3 - 5*k**2 - 6*k - 2. Let a be f(6). Let j = a + 5. What is the derivative of 0*b**3 + 1 + 2 + b**j - 4 wrt b?"
},
{
"from": "gpt",
"value": "3*b**2"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 8:22 AM and 11:45 AM?"
},
{
"from": "gpt",
"value": "203"
}
] |
[
{
"from": "human",
"value": "Suppose 3*w = 3*q + 5*w - 9, -5*w + 15 = 0. Let z(b) = b + 9. Let r be z(-6). Which is smaller: r or q?"
},
{
"from": "gpt",
"value": "q"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 5*s - 2*t + 25, 3*t - 25 = -2*t for s."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "In base 10, what is -61 - -7?"
},
{
"from": "gpt",
"value": "-54"
}
] |
[
{
"from": "human",
"value": "Differentiate 20*k**2*z - 4*k**2 + 4*z - 302 wrt z."
},
{
"from": "gpt",
"value": "20*k**2 + 4"
}
] |
[
{
"from": "human",
"value": "What is -17 + -84888?"
},
{
"from": "gpt",
"value": "-84905"
}
] |
[
{
"from": "human",
"value": "Let r(i) be the first derivative of -i**3/3 - 1. Let m(z) = z. Let s(n) = -n. Let t(w) = m(w) + 4*s(w). Determine t(r(c))."
},
{
"from": "gpt",
"value": "3*c**2"
}
] |
[
{
"from": "human",
"value": "What is 0.6 times 6.5?"
},
{
"from": "gpt",
"value": "3.9"
}
] |
[
{
"from": "human",
"value": "What is the product of -533 and 0.5?"
},
{
"from": "gpt",
"value": "-266.5"
}
] |
[
{
"from": "human",
"value": "Does 120 divide 17336?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let s = 20 - 12. List the prime factors of (76/s - -3)*2."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let k(t) = 18 - 4*t. Let b be k(5). Let z = -0.4 - 2.6. Put z, b, -0.07 in ascending order."
},
{
"from": "gpt",
"value": "z, b, -0.07"
}
] |
[
{
"from": "human",
"value": "Let l = -4 + -1. Let i = 2 + -1.6. Sort l, -3, i in increasing order."
},
{
"from": "gpt",
"value": "l, -3, i"
}
] |
[
{
"from": "human",
"value": "Factor -2*x**2/9 - 2432*x/9 - 739328/9."
},
{
"from": "gpt",
"value": "-2*(x + 608)**2/9"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 242 to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 7:29 AM and 9:36 AM?"
},
{
"from": "gpt",
"value": "127"
}
] |
[
{
"from": "human",
"value": "Calculate -0.234*0."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the next term in 1171, 2343, 3515?"
},
{
"from": "gpt",
"value": "4687"
}
] |
[
{
"from": "human",
"value": "What is next in 250, 495, 726, 937, 1122, 1275, 1390?"
},
{
"from": "gpt",
"value": "1461"
}
] |
[
{
"from": "human",
"value": "-40 (base 13) to base 9"
},
{
"from": "gpt",
"value": "-57"
}
] |
[
{
"from": "human",
"value": "Sort 21, -1, 18, 3."
},
{
"from": "gpt",
"value": "-1, 3, 18, 21"
}
] |
[
{
"from": "human",
"value": "What is the value of 10/45*-3*-6?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let r be -2*1/(-2)*3. Solve -3*q = -r - 6 for q."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "How many months are there in twenty-five eighths of a century?"
},
{
"from": "gpt",
"value": "3750"
}
] |
[
{
"from": "human",
"value": "What is next in 427, 428, 429, 430, 431?"
},
{
"from": "gpt",
"value": "432"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -68*t**5*u - 4*t**3*u + 4*t**3 - 185*t*u + 12*t wrt t."
},
{
"from": "gpt",
"value": "-1360*t**3*u - 24*t*u + 24*t"
}
] |
[
{
"from": "human",
"value": "Is -682/27 bigger than -26?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose -3*l + 36 = -3*u, -5*l - 2*u = 2*u - 51. Let p = 12 - l. Solve s + p = 2 for s."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is -20305 divided by -3?"
},
{
"from": "gpt",
"value": "20305/3"
}
] |
[
{
"from": "human",
"value": "Sort -3, 8, -5, 2, -11 in decreasing order."
},
{
"from": "gpt",
"value": "8, 2, -3, -5, -11"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -3*o + 13*o - 40 for o."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Sort -3, 5, 4, 209 in ascending order."
},
{
"from": "gpt",
"value": "-3, 4, 5, 209"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 1? (a) 2 (b) 2/17 (c) 0.9 (d) 3/5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:30 PM and 10:26 PM?"
},
{
"from": "gpt",
"value": "236"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 5/2 or -2/413?"
},
{
"from": "gpt",
"value": "-2/413"
}
] |
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