conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let z be -2*(-2)/(-14) - (-8)/28. Solve 4*u + 0*u = z for u."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let d = -7/9 - -40/63. Sort -1, 0.5, d in decreasing order."
},
{
"from": "gpt",
"value": "0.5, d, -1"
}
] |
[
{
"from": "human",
"value": "25/(-20)*(-3)/10"
},
{
"from": "gpt",
"value": "3/8"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 4*l + 2*s - 98, -4*l = -3*s - 26 - 77. Let x = 40 - 58. Let y = x + l. Does 7 divide y?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1 in -30, -5, -1/5?"
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "Let d = 63 + -63. Which is greater: 0.07 or d?"
},
{
"from": "gpt",
"value": "0.07"
}
] |
[
{
"from": "human",
"value": "Put -2, 253, 5 in descending order."
},
{
"from": "gpt",
"value": "253, 5, -2"
}
] |
[
{
"from": "human",
"value": "Factor -20/3*l + 0 - 2/3*l**2."
},
{
"from": "gpt",
"value": "-2*l*(l + 10)/3"
}
] |
[
{
"from": "human",
"value": "What is next in 100, 202, 304, 406?"
},
{
"from": "gpt",
"value": "508"
}
] |
[
{
"from": "human",
"value": "Let x = -351 - -351.2. What is the closest to -7 in 4, -0.4, x?"
},
{
"from": "gpt",
"value": "-0.4"
}
] |
[
{
"from": "human",
"value": "Let l(v) = -v**2 - v**3 + 6 + 2 - 5 - 7*v. Let i(w) = -w. Let z(m) = 6*i(m) - l(m). List the prime factors of z(2)."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let h be -4 + 8 + (0 - 1). Let y(w) = 6 - w. Let x be y(h). What is the first derivative of 7 + 3*s**x - 4 - s**2 + s**2 wrt s?"
},
{
"from": "gpt",
"value": "9*s**2"
}
] |
[
{
"from": "human",
"value": "Let f be 3/24 + (-23)/(-8). Solve -f*t + 11 = -2*s, s + t + 0*t - 2 = 0 for s."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Is 8 a factor of (-2)/((-2)/39) + 1?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Is 907 a multiple of 119?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let g be (-3)/3*(-8 - (-5 - -4)). Suppose x + 5 = r - 2*x, -5*r + 4*x + 25 = 0. Solve 4*f - r - g = 0 for f."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let n(s) = -s**2 - 9*s + 2. Let d be n(-9). Suppose -5*r - 4*u = d, -r + 6*r + 5*u = -5. Suppose -28 = r*w - 6*w. Is w composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Express (-4 + 1 - 17)*(-4*u**4 + 5*u**4 - 2*u**4) in the form j + z*u + a*u**3 + p*u**4 + x*u**2 and give p."
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "Let o be (2/(-4))/(4/(-8)). Solve -2*f - p - 8 = o, 4*f + 4*p + 16 = 0 for f."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-256)/(-12))/(-8)*3/2?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let i(l) = -l - 4. Let b be i(-9). Suppose 2*s = b - 1. List the prime factors of s."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Is 2359 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Round -0.000082108 to six decimal places."
},
{
"from": "gpt",
"value": "-8.2e-05"
}
] |
[
{
"from": "human",
"value": "What is the least common multiple of 2124395 and 51359?"
},
{
"from": "gpt",
"value": "23368345"
}
] |
[
{
"from": "human",
"value": "Factor s**5 - 11*s**4/2 + 17*s**3/2 + s**2 - 10*s + 4."
},
{
"from": "gpt",
"value": "(s - 2)**3*(s + 1)*(2*s - 1)/2"
}
] |
[
{
"from": "human",
"value": "What is the next term in 25, 32, 51, 88, 149?"
},
{
"from": "gpt",
"value": "240"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 0? (a) 31/14 (b) -2/11 (c) -18 (d) -0.4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the value of 0 + -3 + -2 - (-2 - 1)?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -5 (b) 5 (c) 2/3 (d) -2 (e) 0.6"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 148161."
},
{
"from": "gpt",
"value": "3, 13, 29, 131"
}
] |
[
{
"from": "human",
"value": "Let m be (-21512)/(-36) + 4*5/45. Let o = m + -2988/5. Which is the closest to 33? (a) -2/13 (b) o (c) 4/7"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What comes next: 20, 39, 46, 35, 0, -65, -166, -309?"
},
{
"from": "gpt",
"value": "-500"
}
] |
[
{
"from": "human",
"value": "Let v(j) be the second derivative of -7*j**6/15 + 8*j**4/3 + 3*j. What is the third derivative of v(p) wrt p?"
},
{
"from": "gpt",
"value": "-336*p"
}
] |
[
{
"from": "human",
"value": "Suppose f - 3*j - 7 = 0, 2*f = -0*j - 3*j - 31. Let o(l) = l + 10. Let d be o(f). What is the closest to 1/3 in d, -0.1, 4?"
},
{
"from": "gpt",
"value": "-0.1"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -1142*l**4 + 979*l**2 wrt l."
},
{
"from": "gpt",
"value": "-27408*l"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 1:21 PM and 2:50 PM?"
},
{
"from": "gpt",
"value": "89"
}
] |
[
{
"from": "human",
"value": "Let x = -24 + 57. Suppose -3*v + x = -4*v. Let t = 1041 - 1074. Is t less than or equal to v?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 201*m**6 - 9*m**2 + 8*m?"
},
{
"from": "gpt",
"value": "24120*m**3"
}
] |
[
{
"from": "human",
"value": "Let t = -21677/10458 + 1/747. Let g = 38 - 305/8. Calculate the common denominator of t and g."
},
{
"from": "gpt",
"value": "56"
}
] |
[
{
"from": "human",
"value": "Solve -21 + 9 = 3*l for l."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Factor -4/3*d**3 + 0 + 10/3*d**4 + 0*d**2 + 14/3*d**5 + 0*d."
},
{
"from": "gpt",
"value": "2*d**3*(d + 1)*(7*d - 2)/3"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of -61/28 and 47/1144."
},
{
"from": "gpt",
"value": "8008"
}
] |
[
{
"from": "human",
"value": "Expand (0 + 3 - 5)*(-73 + 73 - 6*j) + j - 4*j + 2*j."
},
{
"from": "gpt",
"value": "11*j"
}
] |
[
{
"from": "human",
"value": "Let x = 0.086 - 1.086. Which is the nearest to x? (a) 1/4 (b) 4 (c) -3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let y = -8 - 6. Let r be 10/(-15) - y/3. Suppose -3*h + 3*j = -93, 0 = 4*h + r*j + 3 - 87. Solve 0 = 2*f - 3*m - m + h, 0 = 4*f - 5*m + 37 for f."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the thousands digit of 22505?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is (-7 - -21) + -25 - -7?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose 2*i = -u - 12, -5*u = 5*i - 3*u + 28. Let w(m) = 5*m**2 - 11*m + 3. Let l(n) = -6*n**2 + 12*n - 2. Let h(j) = i*l(j) - 5*w(j). Determine h(6)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is 71 minutes before 3:48 AM?"
},
{
"from": "gpt",
"value": "2:37 AM"
}
] |
[
{
"from": "human",
"value": "Let x = 1035222.742406 + -1035221. Let a = x + -3.742373. Let v = -2 - a. Round v to five decimal places."
},
{
"from": "gpt",
"value": "-3e-05"
}
] |
[
{
"from": "human",
"value": "Subtract -40782 from 2."
},
{
"from": "gpt",
"value": "40784"
}
] |
[
{
"from": "human",
"value": "Let j(g) = 2 - 2*g. Let c be j(4). Let p be (-51)/(-15) + c/15. What is b in 0 + 0*b**p + 1/3*b**4 - 1/3*b**2 + 0*b = 0?"
},
{
"from": "gpt",
"value": "-1, 0, 1"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 19*n - 67 - 9 for n."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Which is greater: 26 or -23/2?"
},
{
"from": "gpt",
"value": "26"
}
] |
[
{
"from": "human",
"value": "Let l(p) be the third derivative of -p**7/210 - p**6/20 - 13*p**5/60 - p**4/2 - 2*p**3/3 - 5*p**2. Factor l(g)."
},
{
"from": "gpt",
"value": "-(g + 1)**2*(g + 2)**2"
}
] |
[
{
"from": "human",
"value": "Let h(i) be the first derivative of i**3 + 9*i**2 - 51. Factor h(z)."
},
{
"from": "gpt",
"value": "3*z*(z + 6)"
}
] |
[
{
"from": "human",
"value": "Simplify -5*2*sqrt(2)*4."
},
{
"from": "gpt",
"value": "-40*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "What is the f'th term of 6, 23, 52, 99, 170, 271, 408, 587?"
},
{
"from": "gpt",
"value": "f**3 + 10*f - 5"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 639*g + 0 + 4 - 4."
},
{
"from": "gpt",
"value": "639*g"
}
] |
[
{
"from": "human",
"value": "Suppose p + 9 = -2*p. Let g be 3 + 1 + p + -2430001. Round g to the nearest 100000."
},
{
"from": "gpt",
"value": "-2400000.0"
}
] |
[
{
"from": "human",
"value": "Let n = -694/7 + 99. What is the biggest value in 0.07, 1/3, -2, n?"
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "Let i(c) = -c**3 - 10*c**2 - 13*c - 12. Let g be i(-9). Let n = g - 7. Let w = n - 11. Is 3 a factor of w?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is prob of picking 2 p and 2 e when four letters picked without replacement from {z: 1, c: 7, p: 3, e: 2, f: 1}?"
},
{
"from": "gpt",
"value": "3/1001"
}
] |
[
{
"from": "human",
"value": "Let h(d) = 34 - d. Calculate h(27)."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "In base 12, what is -90 - -754905?"
},
{
"from": "gpt",
"value": "754835"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -0.04 in 27, -2/5, 0.3?"
},
{
"from": "gpt",
"value": "0.3"
}
] |
[
{
"from": "human",
"value": "Simplify (((l**(-9)*l)/l*l)/l**(-7/2))/(l*l**9*l**5) assuming l is positive."
},
{
"from": "gpt",
"value": "l**(-39/2)"
}
] |
[
{
"from": "human",
"value": "Let x be (5 - -1)/(3 - 0). Let t = -0.9 - -0.5. Which is the closest to 1/4? (a) x (b) -0.2 (c) t"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Suppose 3*t - 293 = -2*t + 4*d, 0 = 4*t - d - 230. Suppose -4*x = 5*y - 73, -4*y = -5*x + t - 17. What is the remainder when 35 is divided by x?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let l be (-10)/(-45) - (-43)/9. Let v = l + -5. Solve 3*p + w = -12, v = -5*p - 6*w + 3*w - 20 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose -3*n = -6*n - 4*c - 3, 3*c + 12 = n. Let w = 8 - 6. Solve w*x + n = -3 for x."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve -4*a + 9 = 3*r, -3 = a - 2*r + 3 for a."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Calculate ((-76)/266)/(1/(-7))."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let m(b) = -3*b - 21. Let z be m(-8). Solve -13 = 5*y - q + z, -6 = y - 3*q for y."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Add 3 and -345."
},
{
"from": "gpt",
"value": "-342"
}
] |
[
{
"from": "human",
"value": "Simplify ((-3*((sqrt(110) - (sqrt(110) + (sqrt(110) - -2*sqrt(110)) - sqrt(110))) + sqrt(110) + sqrt(110) - sqrt(110)))/(1*sqrt(1210)))**2."
},
{
"from": "gpt",
"value": "9/11"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of -48*j**3 + 159 - 93 - 94 wrt j."
},
{
"from": "gpt",
"value": "-144*j**2"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 33 is divided by 15."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 7092781?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is the value of (1 - 5) + (6 - 5)?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Sum 0.7 and -3.48."
},
{
"from": "gpt",
"value": "-2.78"
}
] |
[
{
"from": "human",
"value": "Work out 0.046 * 0.18."
},
{
"from": "gpt",
"value": "0.00828"
}
] |
[
{
"from": "human",
"value": "Is -0.006 bigger than 5?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is 715.2136 micrograms in nanograms?"
},
{
"from": "gpt",
"value": "715213.6"
}
] |
[
{
"from": "human",
"value": "Let v(o) = -o**2 + 3*o + 18. Give v(-6)."
},
{
"from": "gpt",
"value": "-36"
}
] |
[
{
"from": "human",
"value": "What is the seventh root of 37590 to the nearest integer?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the thousands digit of 180742?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-240)/192)/((-10)/(-16))."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the value of (-2)/((-11)/((-11)/2))?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "-0.3*31"
},
{
"from": "gpt",
"value": "-9.3"
}
] |
[
{
"from": "human",
"value": "Let j be (-6)/7*2/(-3). Let t = -0.4 + 0.4. Put -2/3, j, t in descending order."
},
{
"from": "gpt",
"value": "j, t, -2/3"
}
] |
[
{
"from": "human",
"value": "Let l = -2103953953/492 - -4276349. Let d = l + 1/164. Find the common denominator of d and 40/7."
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "Simplify (3*(sqrt(288) + 3) + 5)**2."
},
{
"from": "gpt",
"value": "1008*sqrt(2) + 2788"
}
] |
[
{
"from": "human",
"value": "Factor 1/2 - 3/2*p**4 - 3/2*p + 1/2*p**5 + p**3 + p**2."
},
{
"from": "gpt",
"value": "(p - 1)**4*(p + 1)/2"
}
] |
[
{
"from": "human",
"value": "Product of -4996 and 1."
},
{
"from": "gpt",
"value": "-4996"
}
] |
[
{
"from": "human",
"value": "What is (-8 - 5) + 4 + 1 - -3?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "0.2 times 0.967"
},
{
"from": "gpt",
"value": "0.1934"
}
] |
[
{
"from": "human",
"value": "Convert 520723.7 micrometers to kilometers."
},
{
"from": "gpt",
"value": "0.0005207237"
}
] |
[
{
"from": "human",
"value": "Expand (-5*n + 2*n - 2*n)*(-2 + 1 - 2)."
},
{
"from": "gpt",
"value": "15*n"
}
] |
[
{
"from": "human",
"value": "What is the value of 10/(18/(-126) - (-8 + (1734/(-210))/(-1)))?"
},
{
"from": "gpt",
"value": "-25"
}
] |
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