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[ { "from": "human", "value": "Let q(r) = 2*r - 2. Determine q(8)." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Find the second derivative of 11*f*p**2 + 4*f - 3*p**2 - 50*p wrt p." }, { "from": "gpt", "value": "22*f - 6" } ]
[ { "from": "human", "value": "Suppose 2/3*q**2 + 2/3 + 4/3*q = 0. Calculate q." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let j(u) = -u**2 - 73*u - 555. What is j(-64)?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Product of 0.078 and 0.14." }, { "from": "gpt", "value": "0.01092" } ]
[ { "from": "human", "value": "Let t be -5*(-3 + 13/5). Solve -4*n = -10 - t for n." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the y'th term of 12, -15, -68, -153, -276, -443, -660?" }, { "from": "gpt", "value": "-y**3 - 7*y**2 + y + 19" } ]
[ { "from": "human", "value": "Let a(n) = -3*n**3 - 2*n**2 - 2*n - 1. Let k be a(-1). Suppose -k*v + 2*d = 22, 3*v - v = 4*d - 12. Let t = v - -23. What is the units digit of t?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Which is greater: -387 or 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let z(w) = 4*w**2 + 4*w + 4. Let u be z(-3). Suppose 3*m + 5*j - 38 = 0, -54 - u = -5*m + j. Is m a multiple of 16?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Sort 4/5, 1, 0.04 in descending order." }, { "from": "gpt", "value": "1, 4/5, 0.04" } ]
[ { "from": "human", "value": "What is the value of ((-14)/105)/((-18)/(-180))?" }, { "from": "gpt", "value": "-4/3" } ]
[ { "from": "human", "value": "What is the next term in 19, -11, -19, 1, 55, 149?" }, { "from": "gpt", "value": "289" } ]
[ { "from": "human", "value": "What is 13/4 of a tonne in kilograms?" }, { "from": "gpt", "value": "3250" } ]
[ { "from": "human", "value": "Let t(n) = n**3 + 2*n**2 + 4. Let r(l) = -l**3 - l**2 - 3. Let g(q) = 6*r(q) + 5*t(q). Let y be g(4). Let a be (-1 - (-42)/39)*y. Is -0.1 at most as big as a?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the nearest to -0.06 in -4, 0.3, -2, 12?" }, { "from": "gpt", "value": "0.3" } ]
[ { "from": "human", "value": "Suppose -2 = -y - p - 7, -2*y - 5*p - 19 = 0. Put y, -5, 3 in increasing order." }, { "from": "gpt", "value": "-5, y, 3" } ]
[ { "from": "human", "value": "Solve -11392 = 10*a - 11352 for a." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -46 (base 10) in base 5?" }, { "from": "gpt", "value": "-141" } ]
[ { "from": "human", "value": "Solve 3*o = -3*r - 3, 3*r - 8 + 23 = 3*o for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 2*z**2/9 + 92*z/3 - 2030/9 = 0." }, { "from": "gpt", "value": "-145, 7" } ]
[ { "from": "human", "value": "Let j = -765 - -758.97. Let q = -0.03 - j. Let f = q + -5.7. What is the nearest to 0.1 in f, -2, -2/9?" }, { "from": "gpt", "value": "f" } ]
[ { "from": "human", "value": "Let w be 4/6*3/(-2). Suppose 0 = -4*b - 5*j - 30, 3*b - 3*j + 36 = -0*b. Let y be (b/6)/(w/3). Solve -5*f + 2*s - 3*s = 20, -2*f - 8 = y*s for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the nearest to 0.1 in -339, 1, -6?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let f(s) = -s - 5. Let q(h) = -h - 6. Let d(k) = -3*f(k) + 4*q(k). Let z be d(-11). Solve -6*p + z*p = 4 for p." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -3 - -1092?" }, { "from": "gpt", "value": "1089" } ]
[ { "from": "human", "value": "Solve p - 11 = -4*v - 0, 2*p - 16 = -5*v for p." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 0 = -5*o + 2*c + 134, -3*c + 20 = o - 17. What is the greatest common divisor of 7 and o?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Sort -2, 3, 36, 9 in increasing order." }, { "from": "gpt", "value": "-2, 3, 9, 36" } ]
[ { "from": "human", "value": "What is the fifth smallest value in -4, -3, -2/9, 1/2, -1/4?" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Differentiate 4*f*m**3*r*t + 41*f*r*t + 5*f*r + m**3*r - 4*r wrt t." }, { "from": "gpt", "value": "4*f*m**3*r + 41*f*r" } ]
[ { "from": "human", "value": "What is 23/28 + (-3 - (-240)/70)?" }, { "from": "gpt", "value": "5/4" } ]
[ { "from": "human", "value": "What is the highest common factor of 4 and 7?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Collect the terms in 3 + 663*h**2 + 0 - 3." }, { "from": "gpt", "value": "663*h**2" } ]
[ { "from": "human", "value": "Suppose 0 = 3*p + 2*p. Suppose -3*c + 5*x = -c, p = -c + 3*x + 2. Let v = 0 - c. Calculate the remainder when v is divided by 4." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let x(o) = -4*o**3 - o**2 - 11. Let j(n) = -3*n**3 - n**2 - 10. Give 5*j(m) - 4*x(m)." }, { "from": "gpt", "value": "m**3 - m**2 - 6" } ]
[ { "from": "human", "value": "Let j = 127/5 + -379/15. Which is the nearest to 1? (a) j (b) 2/9 (c) -5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is 116 (base 7) in base 4?" }, { "from": "gpt", "value": "332" } ]
[ { "from": "human", "value": "Simplify sqrt(170)/(-4*sqrt(160)) - (5 + -1*sqrt(425))**2." }, { "from": "gpt", "value": "-450 + 799*sqrt(17)/16" } ]
[ { "from": "human", "value": "What is the units digit of 52?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Which is the nearest to 0.1? (a) 4 (b) 0.3 (c) 2 (d) -0.4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Evaluate (-144)/60*35/(-21)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -5*s + 8*s - 102 = 0. Let g(j) = 8*j**3 + 2*j**2 - 2*j + 1. What is the remainder when s is divided by g(1)?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let q(n) = -4*n**3 + 15*n**2 + 15*n - 11. Let c(w) = -2*w**3 + 8*w**2 + 8*w - 6. Let d(m) = -2*m**2 - 17*m - 2. Let j be d(-8). Calculate j*q(k) - 11*c(k)." }, { "from": "gpt", "value": "-2*k**3 + 2*k**2 + 2*k" } ]
[ { "from": "human", "value": "Express 2*j**3 + j + 11*j**3 - 2*j**2 + 0 - 11*j**3 - 9*j**4 + 2 in the form q + y*j**3 + h*j**4 + a*j + v*j**2 and give h." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "What is the j'th term of 133, 134, 135, 136, 137?" }, { "from": "gpt", "value": "j + 132" } ]
[ { "from": "human", "value": "Simplify f**(-1/4)*f**(3/4)*f/f**(5/2)*f**2 assuming f is positive." }, { "from": "gpt", "value": "f" } ]
[ { "from": "human", "value": "Evaluate 59 + -65 + 1 + 7." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let w be (-2)/(-4) + 99/6. Let z = w - 11. What is the smallest common multiple of z and 3?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is 663 minutes before 1:26 AM?" }, { "from": "gpt", "value": "2:23 PM" } ]
[ { "from": "human", "value": "How many centuries are there in 7.433711 millennia?" }, { "from": "gpt", "value": "74.33711" } ]
[ { "from": "human", "value": "What is 362932317 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "19051" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -5/4 (b) 5 (c) -9/2 (d) -10" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is -0.09659 + -6?" }, { "from": "gpt", "value": "-6.09659" } ]
[ { "from": "human", "value": "Let v = -8.65 - -8.85. Let r = 2.4 + -2. What is the nearest to -0.1 in r, v, -2/15?" }, { "from": "gpt", "value": "-2/15" } ]
[ { "from": "human", "value": "What is the second derivative of -404*y**5 + 442*y?" }, { "from": "gpt", "value": "-8080*y**3" } ]
[ { "from": "human", "value": "Sum 33.745 and 1.5." }, { "from": "gpt", "value": "35.245" } ]
[ { "from": "human", "value": "Let q(s) = 16*s + 2*s + 11 - s**3 - 10*s**2 - 6*s. Let m be q(-11). Is -3/10 >= m?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f be (-3)/2*(0 - 2). Let y be 1*0/1*-1. Suppose y = 2*z - f*z + 2. What is the least common multiple of z and 5?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Suppose 5*h + 15 = 3*b - 16, -h + 5*b = 15. Let i = -3 - h. Which is smaller: 4 or i?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "What is the third derivative of 6*b**6 - 15*b**3*k + 8*b**2*k - b*k + k wrt b?" }, { "from": "gpt", "value": "720*b**3 - 90*k" } ]
[ { "from": "human", "value": "What is the square root of 1048875 to the nearest integer?" }, { "from": "gpt", "value": "1024" } ]
[ { "from": "human", "value": "Suppose 112*n + 80 = 132*n. Let q(h) be the second derivative of 20*h - 7/3*h**3 - n*h**2 + 0. What is the derivative of q(o) wrt o?" }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "What is the distance between 17.7087 and -1?" }, { "from": "gpt", "value": "18.7087" } ]
[ { "from": "human", "value": "What is the value of 168/(-10) + (-564)/(-30) + -19?" }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "Solve 6*j - 43 + 31 = 0 for j." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is -0.1 minus 89.67?" }, { "from": "gpt", "value": "-89.77" } ]
[ { "from": "human", "value": "Let y = -4.1 - -4. Suppose -j + 3 - 7 = 0. What is the nearest to -0.1 in j, -3, y?" }, { "from": "gpt", "value": "y" } ]
[ { "from": "human", "value": "Let r(k) = -5*k**2 + 6*k**3 + 0*k**3 + 7*k + 0*k**3. Let x(j) = 5*j**3 - 4*j**2 + 6*j. Let a be (-14)/3 + 6/9. Suppose 2 = -q + 7. Determine a*r(b) + q*x(b)." }, { "from": "gpt", "value": "b**3 + 2*b" } ]
[ { "from": "human", "value": "Find the common denominator of 121/632838 and -11/87288." }, { "from": "gpt", "value": "2531352" } ]
[ { "from": "human", "value": "Suppose 4*s - 5*s + 4 = 0. Let m = -1 + s. What is the second derivative of -b + 2*b**m + b**3 - b wrt b?" }, { "from": "gpt", "value": "18*b" } ]
[ { "from": "human", "value": "Let g = 0.091 + 3.609. Round g to zero dps." }, { "from": "gpt", "value": "4.0" } ]
[ { "from": "human", "value": "-2 + 72054" }, { "from": "gpt", "value": "72052" } ]
[ { "from": "human", "value": "What is -1*2/(-4)*0/19?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Do -86 and -1 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the greatest common factor of 84 and 4494?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "Let v = -1 + 6. Suppose 4*y - 8 = 0, -d + 189 = v*y + 14. What is the highest common divisor of 15 and d?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "What is the value of (-8 - -11)*16/12?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the cube root of 1162 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "4/6 + (-96)/90" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Solve 18 = 19*x - 21*x for x." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Expand 4*m**5 - 3*m**3 + 3*m**3 + (0*m + 4*m - 5*m)*(-3*m**4 + m**2 - m**2)." }, { "from": "gpt", "value": "7*m**5" } ]
[ { "from": "human", "value": "Factor 2*k**4 - 18*k**3 + 40*k**2 - 24*k." }, { "from": "gpt", "value": "2*k*(k - 6)*(k - 2)*(k - 1)" } ]
[ { "from": "human", "value": "Let g(t) = -t - 5. Let q be g(-7). Solve v - 2*v + 5*o = -7, 2*o = q*v - 6 for v." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify ((-2 + 2*sqrt(171))*-5)**2 + -4." }, { "from": "gpt", "value": "17196 - 600*sqrt(19)" } ]
[ { "from": "human", "value": "Let w be 12/18 + 0/(-2). Let o = 0.05 + 0.45. Which is the third smallest value? (a) o (b) -0.3 (c) w" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Is (1 + 2438/(-10))/((-1514)/367145) a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose b + 10 = 2*b. Let 14*d**2 + b*d**3 + 0*d + 4*d - 2*d + 2*d = 0. What is d?" }, { "from": "gpt", "value": "-1, -2/5, 0" } ]
[ { "from": "human", "value": "-1.6 * -82" }, { "from": "gpt", "value": "131.2" } ]
[ { "from": "human", "value": "Calculate -4 + 4/4 + 0." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate the remainder when 33222304 is divided by 3075." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Which is smaller: 335 or -0.1?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Let r be (-1)/2 - 1/(-2). Suppose -3*s = 4*n - 0*s - 24, 3*s = 12. Solve n*h + 4 - 1 = r for h." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let q(w) = -3*w - 5. Let z be q(-7). Let d be ((-2)/9)/(z/(-120)). What is the closest to -0.2 in 3/7, d, -1?" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Evaluate (-4 - (-10 - -3)) + (7 - 10)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 5*p = -k + 2, -2*p - 19*k + 16*k = 7 for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "How many minutes are there between 4:19 PM and 12:27 AM?" }, { "from": "gpt", "value": "488" } ]
[ { "from": "human", "value": "Let m be 2/2 + 7 - 2. Let p be 2/(-6) + 2/m. Let a be (5 - -3)*6/12. Is p at most as big as a?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the sixth root of 16944 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify sqrt(468)*2 + 1." }, { "from": "gpt", "value": "1 + 12*sqrt(13)" } ]