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[ { "from": "human", "value": "Calculate prob of sequence gg when two letters picked without replacement from {g: 6}." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let h = -2 - -1. Let j = h + 4. Let k = -1244 - -1244.1. Sort k, j, -0.5 in increasing order." }, { "from": "gpt", "value": "-0.5, k, j" } ]
[ { "from": "human", "value": "What is next in -15, -66, -179, -378, -687, -1130, -1731, -2514?" }, { "from": "gpt", "value": "-3503" } ]
[ { "from": "human", "value": "What is 16 plus 227?" }, { "from": "gpt", "value": "243" } ]
[ { "from": "human", "value": "Product of -44 and 6.1." }, { "from": "gpt", "value": "-268.4" } ]
[ { "from": "human", "value": "What is the p'th term of 12, 19, 40, 81, 148, 247?" }, { "from": "gpt", "value": "p**3 + p**2 - 3*p + 13" } ]
[ { "from": "human", "value": "What is the third biggest value in -0.3, -12, -2/13?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "How many centuries are there in 9078.411 months?" }, { "from": "gpt", "value": "7.5653425" } ]
[ { "from": "human", "value": "Is 4603 a multiple of 45?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let t = -10 + 15. Which is the closest to 0? (a) -2 (b) 0.1 (c) t" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the second smallest value in -15, 3, -2/3, 8?" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "Solve 0 = -61*f + 56*f - 20 for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Divide 460 by 5." }, { "from": "gpt", "value": "92" } ]
[ { "from": "human", "value": "Let t = -58 + 62. Solve -t*o = 4*n - 12 - 4, 2*o + n - 6 = 0 for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let p = 5 + -4.7. Let b = 1 - 0.5. What is the smallest value in -4, b, p?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Factor -2*q**4/15 - 64*q**3/3 - 1256*q**2/15 - 416*q/5." }, { "from": "gpt", "value": "-2*q*(q + 2)**2*(q + 156)/15" } ]
[ { "from": "human", "value": "What are the prime factors of 183?" }, { "from": "gpt", "value": "3, 61" } ]
[ { "from": "human", "value": "Is 0.25 smaller than 5.5?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let f(q) = -q**2 - 8*q - 3. Let s be f(-6). Suppose -3*w - 3*v = -0*w + s, -5*v = 2*w + 21. Solve w*c + 1 = 4*y - 5, -5*c + 3*y - 8 = 0 for c." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -23 (base 5) in base 15?" }, { "from": "gpt", "value": "-d" } ]
[ { "from": "human", "value": "What comes next: -39, -69, -87, -87, -63?" }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Let q be 0 - (-2 + (-2 - 0)). Suppose -11 + 3 = -q*l. Factor r**3 + 2*r**3 - r**l - 4*r**3." }, { "from": "gpt", "value": "-r**2*(r + 1)" } ]
[ { "from": "human", "value": "Let v(h) = 3*h + 12. Calculate v(-5)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let f be (-14)/(3/(-3))*1. Let q be 28/2*24/f. Let g be (-6)/q*(-12 + 0). Solve -g = -2*z + 1 for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 556 minutes before 1:51 AM?" }, { "from": "gpt", "value": "4:35 PM" } ]
[ { "from": "human", "value": "Is -131 less than 0.2?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let b = 5 - 5. Let s be 1 + (1/9 - 0). Which is greater: b or s?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "Simplify 4*sqrt(12)/sqrt(4)*-2 + (sqrt(27)*-3 - (sqrt(3) + sqrt(3)*-2)*2)." }, { "from": "gpt", "value": "-15*sqrt(3)" } ]
[ { "from": "human", "value": "Simplify ((x**(13/3)*x*x*x**(-18)*x*x)**(1/28))**(-34) assuming x is positive." }, { "from": "gpt", "value": "x**(493/42)" } ]
[ { "from": "human", "value": "Differentiate 211*v**3 - 2*v + 421 wrt v." }, { "from": "gpt", "value": "633*v**2 - 2" } ]
[ { "from": "human", "value": "What is the value of 6 + (8 - (-8)/(-1))?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let j = -7.79 + 7.4. Let i = 0.11 - j. Which is the second biggest value? (a) 4 (b) i (c) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let r(z) = -1 + z + 0 - 2. Let h(w) be the first derivative of -w**2 + 7*w - 2. Let p(v) = 4*h(v) + 9*r(v). Differentiate p(b) wrt b." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let m(t) = -6*t - 11. List the prime factors of m(-5)." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Suppose -6*p + 3*p + 54 = 0. Suppose 5*h - 17 = -3*m + 5*m, -2*h + 3*m = 2. What is the remainder when p is divided by h?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let i be (25/10)/((-15)/(-12)). Suppose -i*m - 14 = -3*m. What is the lowest common multiple of m and 28*(0 + 1)/2?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Solve 4*t + 5 = -5*a, 0 = -5*a - 12*t + 9*t - 10 for a." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "71.76*4" }, { "from": "gpt", "value": "287.04" } ]
[ { "from": "human", "value": "Let t(q) = -q**2. Suppose 2*a = 2*u + 3*a + 12, 3*a + 16 = -u. Let l = 3 - u. Let s(g) = 2*g - l*g + 9*g. Calculate s(t(k))." }, { "from": "gpt", "value": "-4*k**2" } ]
[ { "from": "human", "value": "Suppose -17 = 3*k + 1. Let l be (-33)/k + (-3)/6. Solve -x + 24 = -4*c + 3, 0 = -l*x - c for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Express 43*r**2 - 25*r**2 + r**2 as p*r**2 + a*r + z and give p." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let v(j) = j**3 + 11*j - 1 + 3 - 7*j**2 - 3 - 4*j. Does 2 divide v(6)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -z = -2*z + 2. Solve -c + z*c + 2 = 0 for c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let p = -13 - -9. Let j = 6 + p. Is 11 + -4 + (0 - j) a multiple of 5?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 8 = -3*d + 77. What is the remainder when d is divided by 5?" }, { "from": "gpt", "value": "3" } ]
[ { "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": "Is 15158273 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 7515830 divided by -5651?" }, { "from": "gpt", "value": "-1330" } ]
[ { "from": "human", "value": "In base 15, what is -1b + -20?" }, { "from": "gpt", "value": "-3b" } ]
[ { "from": "human", "value": "Let s(c) = -37*c - 217. Let t be s(-6). Suppose 49*p = -r + 45*p + 1012, -5044 = -t*r - 4*p. Does 36 divide r?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is smaller: -0.08 or 2/731?" }, { "from": "gpt", "value": "-0.08" } ]
[ { "from": "human", "value": "Let b(l) = l - 2. Let z(a) = a**2 - 4*a. Let q be z(5). Let m be b(q). Suppose -4*h + 12 = -0*h. Solve -4 - 2 = h*d, 3*d - 9 = m*f for f." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is -0.0457 plus 2?" }, { "from": "gpt", "value": "1.9543" } ]
[ { "from": "human", "value": "What is the value of (40/(-15))/(-4)*(-6)/8?" }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "Put -0.01, -2, -3/2 in descending order." }, { "from": "gpt", "value": "-0.01, -3/2, -2" } ]
[ { "from": "human", "value": "What is 7737 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Is -5002 <= 0?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let m be ((-2)/(-42))/(2/146). Let s = m + -22/7. Let r = 6 + -1. Sort 0.4, r, s in decreasing order." }, { "from": "gpt", "value": "r, 0.4, s" } ]
[ { "from": "human", "value": "Calculate -1 - 4 - (-1 - 1) - -8." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve 13*u - 52 = -0*u for u." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 7, what is -6 + -51?" }, { "from": "gpt", "value": "-60" } ]
[ { "from": "human", "value": "Let r(n) = 6 - 3*n. Let c be 2/(-9) + (-350)/45. Let d be 0 + 1 + (c - -3). Let i be r(d). Solve 25 = -0*y + 3*y - 5*u, u - i = -4*y for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) -17 (b) -8 (c) 0.2 (d) -2/9" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Which is greater: 2/587 or 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the highest common factor of 672 and 966?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "Divide -99 by -1." }, { "from": "gpt", "value": "99" } ]
[ { "from": "human", "value": "What is the remainder when 2230 is divided by 735?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Sort -2, 2, 34, -0.17." }, { "from": "gpt", "value": "-2, -0.17, 2, 34" } ]
[ { "from": "human", "value": "Solve -6 = -3*w + 3*n - 21, -3*w = 2*n - 5 for w." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve 4*r - 9 + 1 = -t, 5*r = 3*t + 10 for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let o(b) be the first derivative of -11*b**5/5 + 9*b**2 - 19. Find the second derivative of o(c) wrt c." }, { "from": "gpt", "value": "-132*c**2" } ]
[ { "from": "human", "value": "Let b = -7 - -11. Let w be -3*b/(-6) - 2. Find the third derivative of -2*q**2 - q**4 + w*q**2 - q**2 wrt q." }, { "from": "gpt", "value": "-24*q" } ]
[ { "from": "human", "value": "Suppose t + 29 = -4*o, 2*t - 3*o = -6*o - 43. Let l = 17 + t. Solve l = -r - 2*r - 15 for r." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let z(g) = -g**2 - 5*g + 7. Let p be z(-5). Let y = p - 2. Solve -y*r + 5 = -0*r for r." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is ((-22)/(-385)*-7)/((-27)/15)?" }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Differentiate f**2*w**2 + 21*f**2 + 111*w**2 + 12 with respect to w." }, { "from": "gpt", "value": "2*f**2*w + 222*w" } ]
[ { "from": "human", "value": "Express -51 - 5*u**2 - 6*u**2 + 3*u**2 + 0*u + 48 + 12*u as d*u**2 + f*u + w and give w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What are the prime factors of 79219?" }, { "from": "gpt", "value": "7, 11317" } ]
[ { "from": "human", "value": "What is the value of ((-18)/(-3))/(-2*1)?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose d = 3*g - 31, -3*d = 2*g - 4*d - 19. Let t = g + -9. Is t a multiple of 2?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort -25, -5, -4, -3 in increasing order." }, { "from": "gpt", "value": "-25, -5, -4, -3" } ]
[ { "from": "human", "value": "List the prime factors of 1865." }, { "from": "gpt", "value": "5, 373" } ]
[ { "from": "human", "value": "List the prime factors of 11566744." }, { "from": "gpt", "value": "2, 7, 19, 1553" } ]
[ { "from": "human", "value": "What is the i'th term of -2914240, -2914235, -2914230, -2914225, -2914220, -2914215?" }, { "from": "gpt", "value": "5*i - 2914245" } ]
[ { "from": "human", "value": "Solve 0 = 2*i + 8, 2*p = -p - i + 8 for p." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the f'th term of -12, -18, -36, -72, -132?" }, { "from": "gpt", "value": "-f**3 + f - 12" } ]
[ { "from": "human", "value": "Let h(s) = s**2 + 17*s + 21. Let u be h(-15). Let f = 9 + u. Solve f = -2*d - 2 + 4 for d." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify -4 + sqrt(162) - ((-2*sqrt(14))/sqrt(7))**2." }, { "from": "gpt", "value": "-12 + 9*sqrt(2)" } ]
[ { "from": "human", "value": "Let k(t) = t**3 + 3*t**2 - 6*t - 1. Suppose -2*x + 8 = -5*v, 8 = 2*x + 4*v + v. Let n = 1 - 1. Let l = n - x. Give k(l)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Calculate 5/3*(-11)/55." }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "Round 0.0004288 to 5 dps." }, { "from": "gpt", "value": "0.00043" } ]
[ { "from": "human", "value": "In base 15, what is 3 - 45?" }, { "from": "gpt", "value": "-42" } ]
[ { "from": "human", "value": "Let x(y) = y**2 - 9*y - 5. Let n(z) be the first derivative of 2*z**2 + 2*z + 2. Let b(u) = 5*n(u) + 2*x(u). Factor b(q)." }, { "from": "gpt", "value": "2*q*(q + 1)" } ]
[ { "from": "human", "value": "Suppose -4*o + 5*o - 4 = 0. Find the third derivative of 2*g**2 - g**3 + o*g**3 + 0*g**2 wrt g." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is 7709.792 litres in millilitres?" }, { "from": "gpt", "value": "7709792" } ]
[ { "from": "human", "value": "What is the next term in -46, -430, -1482, -3538, -6934, -12006, -19090?" }, { "from": "gpt", "value": "-28522" } ]
[ { "from": "human", "value": "Calculate 0.18*-4." }, { "from": "gpt", "value": "-0.72" } ]
[ { "from": "human", "value": "Simplify (sqrt(2160) - (sqrt(2160) + sqrt(2160) + sqrt(2160) + (sqrt(2160) - sqrt(2160)*-1) + sqrt(2160)))/sqrt(5)*-6." }, { "from": "gpt", "value": "360*sqrt(3)" } ]
[ { "from": "human", "value": "Evaluate -2*60/168*8/20." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Find the common denominator of -83/10 and -67/3." }, { "from": "gpt", "value": "30" } ]