conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "5 + -11 + (-4 - -10 - 5)"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Is 706/35 <= 19?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let k(s) be the second derivative of 5/3*s**3 + 1/10*s**5 + 4*s + 2/3*s**4 + 2*s**2 + 0. Let k(x) = 0. What is x?"
},
{
"from": "gpt",
"value": "-2, -1"
}
] |
[
{
"from": "human",
"value": "What is the next term in -224, -306, -388, -470, -552?"
},
{
"from": "gpt",
"value": "-634"
}
] |
[
{
"from": "human",
"value": "Let j(o) = -2*o + 2 - 5 + o. Let d be j(-6). Let h be -1*(4/(-5))/(4/10). Solve 4 = -d*l - h for l."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let c(s) = 0*s - 3 - 2*s + 3*s. Let v be c(2). Let o(m) = 14*m**2 - m - 1. Is o(v) a multiple of 7?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let d(p) be the second derivative of p**3/6 - 17*p**2/2 - 2*p. Let f be d(8). Let m be ((-8)/42)/(6/f). Which is the closest to m? (a) -3/4 (b) 1/6 (c) -1/2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Simplify (-1 + sqrt(1100))**2 - (sqrt(11) - (sqrt(99) - sqrt(11)))*-2."
},
{
"from": "gpt",
"value": "1101 - 22*sqrt(11)"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -5*s - 2*y - 18, 4*y - 2*y = -4*s - 16. What is the third smallest value in s, 1/5, 2/11?"
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "Solve -5 = 303*p - 306*p - 5*d, 5*d - 5 = p for p."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "280.9 * 0.0361"
},
{
"from": "gpt",
"value": "10.14049"
}
] |
[
{
"from": "human",
"value": "In base 13, what is 5b + 6?"
},
{
"from": "gpt",
"value": "64"
}
] |
[
{
"from": "human",
"value": "Determine l, given that -l**4/2 + l**3 + 7*l**2/2 + 2*l = 0."
},
{
"from": "gpt",
"value": "-1, 0, 4"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:03 AM and 12:34 PM?"
},
{
"from": "gpt",
"value": "391"
}
] |
[
{
"from": "human",
"value": "In base 6, what is 22051 + -1?"
},
{
"from": "gpt",
"value": "22050"
}
] |
[
{
"from": "human",
"value": "Factor 4*y**4/3 + 12*y**3 + 32*y**2 + 64*y/3."
},
{
"from": "gpt",
"value": "4*y*(y + 1)*(y + 4)**2/3"
}
] |
[
{
"from": "human",
"value": "Let s(k) = 5*k**3 + 5*k**2 - 6*k - 1. Let p = 173 + -168. Let z(h) = 4*h**3 + 4*h**2 - 5*h - 1. Calculate p*s(w) - 6*z(w)."
},
{
"from": "gpt",
"value": "w**3 + w**2 + 1"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 16 is divided by 1."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let s be 6/(-21) - 10/14. Let u(n) = n**2 - 19*n + 75. Let c be u(13). Suppose -39 = -10*z + 21. Put z, s, c in descending order."
},
{
"from": "gpt",
"value": "z, s, c"
}
] |
[
{
"from": "human",
"value": "Suppose 5*r - 3*b = -38, -16 + 7 = r - 2*b. Let m be (-2)/4 + r/(-2). Suppose 0 = 3*w + t - 8, 0 = 5*w + t - m*t - 6. Solve -l = w*l + 12 for l."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the next term in -6, 11, 40, 87, 158, 259, 396?"
},
{
"from": "gpt",
"value": "575"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 11 and 2486."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Expand (3 - 3 + 2*y)*(-1 - 3 + 3) + 4 - 4 - 2*y + 2*y - 1 + 1 + (1 + 4 - 3)*(5*y - 3*y + 0*y)."
},
{
"from": "gpt",
"value": "2*y"
}
] |
[
{
"from": "human",
"value": "Factor -y**2 + 84098*y + 17958243."
},
{
"from": "gpt",
"value": "-(y - 84311)*(y + 213)"
}
] |
[
{
"from": "human",
"value": "Differentiate 13*p**4 - 2*p + 107 with respect to p."
},
{
"from": "gpt",
"value": "52*p**3 - 2"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -83*z + 85*z - 14. What is the lowest common multiple of z and 3?"
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "Let l = -2.722 - 0.368. Let i = 19.79 - 20. Let g = i + l. What is g rounded to the nearest integer?"
},
{
"from": "gpt",
"value": "-3.0"
}
] |
[
{
"from": "human",
"value": "What comes next: 15, 153, 531, 1269, 2487, 4305, 6843?"
},
{
"from": "gpt",
"value": "10221"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(35) - sqrt(35)*1)*6)/(sqrt(112) - 2*sqrt(112))."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 12:50 PM and 3:19 PM?"
},
{
"from": "gpt",
"value": "149"
}
] |
[
{
"from": "human",
"value": "What comes next: 40, 35, 30, 25, 20, 15?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is the closest to -2 in 0.3, 1/51, -0.6, 177/2?"
},
{
"from": "gpt",
"value": "-0.6"
}
] |
[
{
"from": "human",
"value": "Solve 12*d - 220 = -100 for d."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of -15, 30, 75, 120, 165?"
},
{
"from": "gpt",
"value": "45*w - 60"
}
] |
[
{
"from": "human",
"value": "Factor -5*l**3 - 1210*l**2 + 1215*l."
},
{
"from": "gpt",
"value": "-5*l*(l - 1)*(l + 243)"
}
] |
[
{
"from": "human",
"value": "Let o(z) = -z**2 + 8*z + 5. Let m be o(4). Let j = m - 10. Calculate the remainder when 32 is divided by j."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Solve -1 = -o + 1, 5*o - 22 = 4*b for b."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "How many meters are there in 0.579287 millimeters?"
},
{
"from": "gpt",
"value": "0.000579287"
}
] |
[
{
"from": "human",
"value": "Let z = 83 - 46. Let r = 1 - 0. What is the remainder when z is divided by r*14 + 1 + -2?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let j = -4 + -4. Let t = j - -8.1. What is the closest to 1/2 in 6, -1, t?"
},
{
"from": "gpt",
"value": "t"
}
] |
[
{
"from": "human",
"value": "What is the next term in 100, 403, 908, 1615, 2524, 3635, 4948?"
},
{
"from": "gpt",
"value": "6463"
}
] |
[
{
"from": "human",
"value": "-5 + (0 - (-3 - -1 - 0))"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the value of (33/(-44))/(7/(224/(-6)))?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -2 in -0.04, 5, 23?"
},
{
"from": "gpt",
"value": "-0.04"
}
] |
[
{
"from": "human",
"value": "Let z = 0.23 - -0.01. Let s = -3.34 + z. Let o = s + 3.034. What is o rounded to two dps?"
},
{
"from": "gpt",
"value": "-0.07"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 231."
},
{
"from": "gpt",
"value": "3, 7, 11"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(160)/sqrt(5))/(1*sqrt(4)*-2)."
},
{
"from": "gpt",
"value": "-sqrt(2)"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -196*j**3 - 78*j?"
},
{
"from": "gpt",
"value": "-1176*j"
}
] |
[
{
"from": "human",
"value": "Express -6 + 4 + 2*z**4 - 2*z**3 + 3*z - 7*z in the form u*z**3 + s*z**2 + y + b*z + j*z**4 and give b."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -377*x**5 + 3*x + 8 wrt x?"
},
{
"from": "gpt",
"value": "-7540*x**3"
}
] |
[
{
"from": "human",
"value": "What is 0.00003402 rounded to 6 dps?"
},
{
"from": "gpt",
"value": "3.4e-05"
}
] |
[
{
"from": "human",
"value": "What is the tenth root of 8200 to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let d(g) = 1 - g. Let v(t) = -t**2 + 2*t + 4. Let w be v(4). Let o(i) = 3*i - 2. Let y(p) = w*o(p) - 7*d(p). Calculate y(-1)."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) -3 (b) -1/5 (c) 29/5"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the next term in -253, -250, -247?"
},
{
"from": "gpt",
"value": "-244"
}
] |
[
{
"from": "human",
"value": "Let s be (-3 + -2 + 4)*-2. What is the highest common factor of 2 and s?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the b'th term of 342, 337, 320, 285, 226, 137, 12?"
},
{
"from": "gpt",
"value": "-b**3 + 2*b + 341"
}
] |
[
{
"from": "human",
"value": "Suppose -9 = 2*t + 3*r, -6 = 5*t - 5*r + 4. Let w be (-1)/t*(-24)/2. Sort -6, w, 3 in increasing order."
},
{
"from": "gpt",
"value": "-6, w, 3"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) 5 (b) -0.3 (c) -3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "How many millilitres are there in 45/2 of a litre?"
},
{
"from": "gpt",
"value": "22500"
}
] |
[
{
"from": "human",
"value": "What is the fourth biggest value in 0, -2/11, 7/20, -4?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let l = -12 + 16. Let d(z) = 2 - 2*z. Let g(s) = s + 1. Let r(a) = d(a) + 3*g(a). Let q be r(4). Solve l - q = 5*m for m."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.1? (a) 2 (b) 1 (c) -5 (d) 0.4"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "What is 65 (base 9) in base 14?"
},
{
"from": "gpt",
"value": "43"
}
] |
[
{
"from": "human",
"value": "Suppose 4*u - 10 = 34. Let x = 17 - u. Let d(h) = -h**3 - h**2 + 4. Let s be d(0). Solve s*l - 18 = -x for l."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let w = -14.11 - -0.11. Let o = 13 + w. Which is the second smallest value? (a) -2/7 (b) o (c) 3/8"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 2*b**5 + 1389*b**4 + 25598*b wrt b?"
},
{
"from": "gpt",
"value": "40*b**3 + 16668*b**2"
}
] |
[
{
"from": "human",
"value": "What is the value of -7 - (-12 - -7) - (2 - 0)?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let t = -8 - -5. What is the third biggest value in t, -4, 0.1?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let y = 13 - 9. Let f be 1/y - 33/(-12). Factor -6 - 4*s**5 - s**f + 5*s**5 + 6."
},
{
"from": "gpt",
"value": "s**3*(s - 1)*(s + 1)"
}
] |
[
{
"from": "human",
"value": "Let h = 2 - 2.4. Let u = 0.86 - 18.06. Let r = 17 + u. What is the third biggest value in r, h, 1/12?"
},
{
"from": "gpt",
"value": "h"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 18710 to the nearest integer?"
},
{
"from": "gpt",
"value": "27"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 3041 is divided by 1005?"
},
{
"from": "gpt",
"value": "26"
}
] |
[
{
"from": "human",
"value": "Suppose 5*h - 3 = -3*v + 20, 4*h = v + 32. What is the units digit of h?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Suppose -5*m + 11 = -0*o + 3*o, 0 = 4*o + 3*m - 33. Let n(h) = 39*h - 59. Does 13 divide n(o)?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Is 26 a factor of 1590524?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Express -162*b + 4 - 8 + 3 - b**2 + 1 - 3 in the form t + p*b + f*b**2 and give p."
},
{
"from": "gpt",
"value": "-162"
}
] |
[
{
"from": "human",
"value": "Let o(i) = 2926*i. Let t(v) = 4*v**2. Calculate o(t(l))."
},
{
"from": "gpt",
"value": "11704*l**2"
}
] |
[
{
"from": "human",
"value": "Let x = 7.5 + -6.5. What is the closest to -0.1 in 2/13, -1, x?"
},
{
"from": "gpt",
"value": "2/13"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 11878*f**3 + 9386*f**2."
},
{
"from": "gpt",
"value": "71268"
}
] |
[
{
"from": "human",
"value": "Let u(n) = -4*n**3 - 3*n**2 - n. Let o be u(-2). Let q = o + -21. Which is the closest to q? (a) 4 (b) 1 (c) 0"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 729153 is divided by 988?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -66 - -16?"
},
{
"from": "gpt",
"value": "-50"
}
] |
[
{
"from": "human",
"value": "Let y(m) = m**3 - m**2 + m - 2. Let h be y(2). Suppose 5*w - 37 = -157. Let r = w - -36. Solve 3*z - 3*s = -6, -2*z - 2*s + h = -r for z."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Is 95911 a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "In base 3, what is 120 - 1?"
},
{
"from": "gpt",
"value": "112"
}
] |
[
{
"from": "human",
"value": "What is the fourth root of 8754 to the nearest integer?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is next in -163, -1322, -4473, -10612, -20735, -35838, -56917?"
},
{
"from": "gpt",
"value": "-84968"
}
] |
[
{
"from": "human",
"value": "Solve -5*h + 10*h = -5 for h."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Suppose -410 = 5*i - 4*y, 5*i = 2*i + 4*y - 246. Let b = -41 - i. Let p = -11 - -25. Calculate the remainder when b is divided by p."
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 0 (b) -4 (c) -25"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Is 17 a factor of 13855?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Sum -14 and 672."
},
{
"from": "gpt",
"value": "658"
}
] |
[
{
"from": "human",
"value": "What is the closest to 1 in 2, -19, -3?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of -59/288 and 17/18."
},
{
"from": "gpt",
"value": "288"
}
] |
[
{
"from": "human",
"value": "Expand (-32*d - 15*d**2 + 32*d)*(0*d + 3*d - 5*d)*(-d - 2*d + d)."
},
{
"from": "gpt",
"value": "-60*d**4"
}
] |
[
{
"from": "human",
"value": "Let x(u) = -31*u - 2674. What is x(-87)?"
},
{
"from": "gpt",
"value": "23"
}
] |
[
{
"from": "human",
"value": "Add together -2097 and 35."
},
{
"from": "gpt",
"value": "-2062"
}
] |
[
{
"from": "human",
"value": "What is 597 minutes before 12:13 PM?"
},
{
"from": "gpt",
"value": "2:16 AM"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -86*d + 79*d. Let h(r) be the third derivative of 1/12*r**5 + 0*r**4 + 5/6*r**3 + d - 7*r**2 + 0*r. Differentiate h(w) with respect to w."
},
{
"from": "gpt",
"value": "10*w"
}
] |
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