conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "How many weeks are there in 73536.561 hours?"
},
{
"from": "gpt",
"value": "437.717625"
}
] |
[
{
"from": "human",
"value": "What is 2/3*7/(-112)*-6?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Expand (4*k - k + 3*k)*(0 - 2 + 4)."
},
{
"from": "gpt",
"value": "12*k"
}
] |
[
{
"from": "human",
"value": "What is the sixth root of 2490 to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the next term in 8943, 8936, 8931, 8928, 8927?"
},
{
"from": "gpt",
"value": "8928"
}
] |
[
{
"from": "human",
"value": "Suppose -2*i - 6 = 2. Let h(a) = a**3 + 5*a**2 - a + 2. What is the least common multiple of h(i) and 16?"
},
{
"from": "gpt",
"value": "176"
}
] |
[
{
"from": "human",
"value": "What is the closest to -0.1 in -792, -0.2, 8, 6, -3?"
},
{
"from": "gpt",
"value": "-0.2"
}
] |
[
{
"from": "human",
"value": "What is the i'th term of -22, -24, -28, -34, -42?"
},
{
"from": "gpt",
"value": "-i**2 + i - 22"
}
] |
[
{
"from": "human",
"value": "Suppose -2*m + 56 = -6*m - 4*i, 0 = -i + 3. Put m, -3, 2, 5 in decreasing order."
},
{
"from": "gpt",
"value": "5, 2, -3, m"
}
] |
[
{
"from": "human",
"value": "Solve 3*o + 2 = 17, -5*o + 35 = -5*z for z."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let h be (-2 + 4)*9/2. Let l = h + -2. Let f(t) = t**2 - 6*t + 4. Let b be f(6). Solve 0 = -2*a + 3*u + l, -b*a + 2*u = a - 12 for a."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Does 6 divide 97?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 1? (a) 1/29 (b) -1.1 (c) 1/5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Simplify -3 + ((-2 + sqrt(176)*-1)*3)**2."
},
{
"from": "gpt",
"value": "144*sqrt(11) + 1617"
}
] |
[
{
"from": "human",
"value": "Solve 477*x - 477*x + 11*m = 0, -84*m - 27 = -x - 79*m for x."
},
{
"from": "gpt",
"value": "27"
}
] |
[
{
"from": "human",
"value": "Factor -3*s**3 - 60*s**2 + 201*s - 138."
},
{
"from": "gpt",
"value": "-3*(s - 2)*(s - 1)*(s + 23)"
}
] |
[
{
"from": "human",
"value": "What comes next: -2552, -2549, -2542, -2531?"
},
{
"from": "gpt",
"value": "-2516"
}
] |
[
{
"from": "human",
"value": "-193843 (base 12) to base 5"
},
{
"from": "gpt",
"value": "-103114333"
}
] |
[
{
"from": "human",
"value": "Let h(f) = -2*f**3 - f**2 + 2*f - 4. Let p be h(-2). Solve b = 2*b - 5*r - 12, 3*b + 2 = -p*r for b."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let f be (1*(-4)/(-6))/(6/3555). Let k = f + -252. What is the hundreds digit of k?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0.1 in -5/2, 2/9, 5, 17?"
},
{
"from": "gpt",
"value": "2/9"
}
] |
[
{
"from": "human",
"value": "What is the next term in -9035, -9034, -9033, -9032, -9031, -9030?"
},
{
"from": "gpt",
"value": "-9029"
}
] |
[
{
"from": "human",
"value": "What is ((-3)/(-16))/(30/20)?"
},
{
"from": "gpt",
"value": "1/8"
}
] |
[
{
"from": "human",
"value": "0 - -4 - 4 - -1"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common divisor of 57 and 798."
},
{
"from": "gpt",
"value": "57"
}
] |
[
{
"from": "human",
"value": "Let u = 11/2 + -16/3. Determine x so that 0*x + 0 - u*x**2 + 0*x**3 + 1/3*x**5 + 1/2*x**4 = 0."
},
{
"from": "gpt",
"value": "-1, 0, 1/2"
}
] |
[
{
"from": "human",
"value": "Let u be -2 - ((-28)/(-4) + -3). Let n(w) = -w**2 + 7*w - 2. Let g(q) = q**2 - 7*q + 2. Let h(l) = u*g(l) - 5*n(l). Determine h(7)."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -5*w - 2*n + 5 = -8, -3*w + 12 = -3*n for w."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Solve 0*x - a + 14 = 3*x, 5*x - 5*a = 30 for x."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Calculate 1476 divided by -18."
},
{
"from": "gpt",
"value": "-82"
}
] |
[
{
"from": "human",
"value": "Let i = 61/6 + -29/3. Let 1/2*t**2 - 1/2 + i*t - 1/2*t**3 = 0. What is t?"
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "What is the ninth root of 887 to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Calculate (0 - -2) + (0 - -4 - 4)."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is 680 minutes before 12:43 PM?"
},
{
"from": "gpt",
"value": "1:23 AM"
}
] |
[
{
"from": "human",
"value": "What is the next term in 15, 53, 119, 213, 335, 485, 663?"
},
{
"from": "gpt",
"value": "869"
}
] |
[
{
"from": "human",
"value": "What is -0.23 - 2692?"
},
{
"from": "gpt",
"value": "-2692.23"
}
] |
[
{
"from": "human",
"value": "What is the third root of 2418 to the nearest integer?"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Rearrange -45*x**4 - 3*x - 58*x**4 + 34*x**4 + x**3 + (-5 + 5 + x)*(2 - 2 - 2*x**3) to a*x**4 + s + r*x + u*x**3 + f*x**2 and give a."
},
{
"from": "gpt",
"value": "-71"
}
] |
[
{
"from": "human",
"value": "Suppose 12 = -3*n, 2*x - 2*n = -2 + 6. Let j = -1 - x. Let d be (0*(-2)/(-4))/2. Does d = j?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -10 = 5*g - 70. Let z = 7 - g. Let j be z/(-10) - 1/2. Solve -u = 1 - j for u."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Simplify 4*(sqrt(3)*1)**2 - (sqrt(3) + sqrt(3) + sqrt(3) + sqrt(576)/sqrt(12))."
},
{
"from": "gpt",
"value": "12 - 7*sqrt(3)"
}
] |
[
{
"from": "human",
"value": "Which is the fifth smallest value? (a) -5 (b) 0.4 (c) -3/11 (d) -3/4 (e) -1/2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let s = 2.4 - 3.4. Sort s, -0.5, 8 in descending order."
},
{
"from": "gpt",
"value": "8, -0.5, s"
}
] |
[
{
"from": "human",
"value": "Let l(x) = 5*x**2 + 4*x + 3. Let p(a) = 12 - 2*a. Let n be p(9). Let g = n - -3. Let o(q) = -14*q**2 - 11*q - 8. What is g*o(i) - 8*l(i)?"
},
{
"from": "gpt",
"value": "2*i**2 + i"
}
] |
[
{
"from": "human",
"value": "What is 6692 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "82"
}
] |
[
{
"from": "human",
"value": "What is the value of -2 + 2 + (5 - 2)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Solve -3*c + 5*s - 4 = 0, 3*c + 4*s - 14 = -0*c for c."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose -2*v = -0*v + 4. Let s = -2 + 1.8. Suppose -y + 4 = 3*y. What is the smallest value in y, v, s?"
},
{
"from": "gpt",
"value": "v"
}
] |
[
{
"from": "human",
"value": "Let p = 2 - 1.9. Let b = -0.3 - 3.7. Let c = b - -4.5. What is the third smallest value in p, -5, c?"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is 0.01 times 66?"
},
{
"from": "gpt",
"value": "0.66"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 29908 and 4?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "In base 16, what is 0 - 13a?"
},
{
"from": "gpt",
"value": "-13a"
}
] |
[
{
"from": "human",
"value": "Let i(s) = 5*s**2 + 3*s - 1. Let g(p) = -p**2 - 6*p - 2. Let q be g(-5). Suppose 1 = -q*l - 11. What is the tens digit of i(l)?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Solve 0*b = -5*k - b + 27, -5*k + 3*b + 19 = 0 for k."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let b(k) be the first derivative of 5*k**3/3 - 1. Let d be b(-1). Let f be 6/((3/(-2))/(39/(-52))). Solve d*v + f*n = -1, -2*n + 7 = -3*v - 5 for v."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let p(n) = -4 + 2*n**2 - n**2 + 0*n**2 + 5. Let z(u) = 1. Let v = -19 + 14. Let r(x) = v*z(x) + p(x). What is the derivative of r(q) wrt q?"
},
{
"from": "gpt",
"value": "2*q"
}
] |
[
{
"from": "human",
"value": "Suppose -t = -12*t + 66. Suppose -x - t + 188 = 0. What is the greatest common factor of 13 and x?"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Let n = 43 + -25. Let g(o) = -o**3 + 5*o**2 - 5*o + 2. Let z be g(3). Suppose -z*d + 27 = -23. Calculate the remainder when n is divided by d."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Suppose -2*f = -4 + 28. Let v = 6 + f. Let y be 4/(-6) - 34/v. What is the highest common divisor of 25 and y?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let w be (-3)/(-6)*1*22. Let r = w - 7. Let z(c) = 2*c + 2. Let n be z(2). Solve n = -r*j - 6 for j."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 5:42 PM and 12:09 AM?"
},
{
"from": "gpt",
"value": "387"
}
] |
[
{
"from": "human",
"value": "Suppose -7*r + 3*r = 12. Let b(z) = -3*z - 9. Let i(g) = 2*g + 5. Let k(a) = r*b(a) - 5*i(a). Let m be k(3). Is 1/4 greater than or equal to m?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve g - 1 = -29*f + 33*f - 3*g - 1, -16 = 4*g for f."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "In base 16, what is 4 + -99?"
},
{
"from": "gpt",
"value": "-95"
}
] |
[
{
"from": "human",
"value": "Suppose 5*w = 3*a - 10, 4*a = -0*a + 4*w + 16. Suppose -t - t = a*h + 34, t - 28 = 5*h. Let d = h + 19. What is the remainder when 49 is divided by d?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Let g = 2.042 + -0.042. What is the biggest value in g, -2, 4/5, -1?"
},
{
"from": "gpt",
"value": "g"
}
] |
[
{
"from": "human",
"value": "What is -2004 divided by -2?"
},
{
"from": "gpt",
"value": "1002"
}
] |
[
{
"from": "human",
"value": "Let m(y) = y**3 - 5*y**2 + 6*y - 2. Let j be m(4). Suppose -5*u = -3*u - j. Solve -5*o = -4*o - 2*c - 4, -c - 7 = -u*o for o."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Calculate the least common multiple of 112 and 42."
},
{
"from": "gpt",
"value": "336"
}
] |
[
{
"from": "human",
"value": "What is -0.4 - 48675623.116333?"
},
{
"from": "gpt",
"value": "-48675623.516333"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common divisor of 10 and 72."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve -4*s - 33 = 5*i, -s + 23 = 171*i - 176*i for i."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is 995 to the power of 1/5, to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Express -2*y - 2*y**3 + 9 - 11 + 0*y + 0*y as g*y**2 + q*y + m + w*y**3 and give w."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 17 is divided by 4."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "7.56 times -5"
},
{
"from": "gpt",
"value": "-37.8"
}
] |
[
{
"from": "human",
"value": "Let l = 90 - 35. Is l a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve 4*h + 5 = 3*v, 5*v - 20*h - 3 = -16*h for v."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Is 193411 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the c'th term of 32, 61, 92, 125?"
},
{
"from": "gpt",
"value": "c**2 + 26*c + 5"
}
] |
[
{
"from": "human",
"value": "What is 193952.46 hours in days?"
},
{
"from": "gpt",
"value": "8081.3525"
}
] |
[
{
"from": "human",
"value": "Simplify 2 + (-5*(sqrt(2448) + -1 + sqrt(2448)) - sqrt(2448))**2*1."
},
{
"from": "gpt",
"value": "296235 - 1320*sqrt(17)"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-6)/15 - 21/35)*3."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let i = 1.9 + -2. Let p be ((-4)/10)/((-33)/45*-6). Which is the nearest to i? (a) -0.4 (b) p (c) 4/9"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let v(u) = 10*u**2 + u - 1. What is v(1)?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "-5985 divided by -855"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Calculate (-5)/6*(-18)/(-90)."
},
{
"from": "gpt",
"value": "-1/6"
}
] |
[
{
"from": "human",
"value": "Suppose 3*q - 2 = 4. Suppose -5 = -3*b + 4. Suppose -b*x + 2*n + 4 = 0, -5*x - n = -2*n - 9. Does x = q?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "(48/14592*76)/((-5)/(-12))"
},
{
"from": "gpt",
"value": "3/5"
}
] |
[
{
"from": "human",
"value": "Are -48186 and -48186 equal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "1ab6a0 (base 14) to base 10"
},
{
"from": "gpt",
"value": "953484"
}
] |
[
{
"from": "human",
"value": "Let f be (-1 + 1)/(2*1). Put -2, f, -4 in ascending order."
},
{
"from": "gpt",
"value": "-4, -2, f"
}
] |
[
{
"from": "human",
"value": "Evaluate 2/(-1)*(-2)/3."
},
{
"from": "gpt",
"value": "4/3"
}
] |
[
{
"from": "human",
"value": "What is the j'th term of -1285, -2567, -3849, -5131, -6413?"
},
{
"from": "gpt",
"value": "-1282*j - 3"
}
] |
[
{
"from": "human",
"value": "Calculate -5 - (4 - 5 - (0 - 0))."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the fourth biggest value in -0.5, -1.7, 64, 2/15?"
},
{
"from": "gpt",
"value": "-1.7"
}
] |
[
{
"from": "human",
"value": "What is the value of 2/(-4)*2*3?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is seven quarters of a century in years?"
},
{
"from": "gpt",
"value": "175"
}
] |
[
{
"from": "human",
"value": "In base 8, what is 230534 + -21?"
},
{
"from": "gpt",
"value": "230513"
}
] |
[
{
"from": "human",
"value": "Is 278437 a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
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