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[ { "from": "human", "value": "Let y(u) = 69*u**3 - 6*u**2 - 17*u + 4. Let t(b) = 68*b**3 - 7*b**2 - 18*b + 5. Let k(q) = -6*t(q) + 7*y(q). Find the second derivative of k(l) wrt l." }, { "from": "gpt", "value": "450*l" } ]
[ { "from": "human", "value": "Suppose 5*l + 3*f = 222, 2*l + 50 = 3*l + 2*f. What are the prime factors of l?" }, { "from": "gpt", "value": "2, 3, 7" } ]
[ { "from": "human", "value": "What is 955399.4 litres in millilitres?" }, { "from": "gpt", "value": "955399400" } ]
[ { "from": "human", "value": "What is the r'th term of -11, -14, -7, 10?" }, { "from": "gpt", "value": "5*r**2 - 18*r + 2" } ]
[ { "from": "human", "value": "Let u be 3 + -1 - 0/2. Solve o - u = 2*o for o." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let o(d) = -44*d**2 + 7*d - 2. Let p be o(3). Let n = p + 596. What is the hundreds digit of n?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 7*b - 6*b = -5*p + 26, -2*b - 3*p = -10 for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let q(r) = r**3 - 4*r**2 - 4*r - 3. Let h be q(5). Suppose h*f + 8 = -0, 4*y - 12 = f. Solve -3*o - 5 = -y*o for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Find the third derivative of -2*q**5 + 2*q**3 + 83*q**2 - 2*q wrt q." }, { "from": "gpt", "value": "12 - 120*q**2" } ]
[ { "from": "human", "value": "Let v be ((-6)/9)/(1/(-6)). Let q = 59 - 38. Calculate the remainder when q is divided by (-110)/(-5)*2/v." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Suppose -3 = -2*w + 1. Let q = -3 - w. Which is the closest to -1? (a) 4/3 (b) q (c) 0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let v = 4.92 - -0.08. Let d = v - 5.3. Suppose 0 = q - 4*g - 4 + 1, -3*q + g - 13 = 0. Which is the closest to -2/7? (a) q (b) d (c) -0.1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let p be (5/(-1))/(-5 + 6). Let h be -1*-1*(-4 + 1). Let q(d) = 2*d - 3. Let t(r) = 6 - 3*r. Let a(j) = h*t(j) + p*q(j). Differentiate a(c) wrt c." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 24950129 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "4995" } ]
[ { "from": "human", "value": "Convert 172.25718us to minutes." }, { "from": "gpt", "value": "0.000002870953" } ]
[ { "from": "human", "value": "Simplify (6*1*(sqrt(605)*-1 - sqrt(605))*6)**2." }, { "from": "gpt", "value": "3136320" } ]
[ { "from": "human", "value": "7 times -60" }, { "from": "gpt", "value": "-420" } ]
[ { "from": "human", "value": "Suppose u = -u + 2. Let g be 6/8*(-12)/(-18). Which is bigger: g or u?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "-4849.8619+1" }, { "from": "gpt", "value": "-4848.8619" } ]
[ { "from": "human", "value": "Suppose 4*d = 112 + 44. List the prime factors of d." }, { "from": "gpt", "value": "3, 13" } ]
[ { "from": "human", "value": "Is 17 a factor of 890?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Expand (-4*d + 4*d - d**3)*(-d + 4*d - 4*d) + 36*d**2 - 6*d**2 - 16*d**2 - 4*d**4." }, { "from": "gpt", "value": "-3*d**4 + 14*d**2" } ]
[ { "from": "human", "value": "What is the closest to 1/3 in -1/4, -21/4, 0.5?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "What is 2589 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "51" } ]
[ { "from": "human", "value": "Suppose 42 - 6 = -4*m. Let o(h) = -h**2 - 10*h - 8. Let z be o(m). What is the third smallest value in 1/2, z, -2/13?" }, { "from": "gpt", "value": "z" } ]
[ { "from": "human", "value": "Is 44 a factor of 4849?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify -3*(-3 + 2*sqrt(171) + 1 + 3)." }, { "from": "gpt", "value": "-18*sqrt(19) - 3" } ]
[ { "from": "human", "value": "Calculate 4 + (5 - (10 - 7))." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Differentiate -2*l*r**3 - l*r**2*u + 4*l*r*u + 16*l*u - 2*l - 2*u wrt r." }, { "from": "gpt", "value": "-6*l*r**2 - 2*l*r*u + 4*l*u" } ]
[ { "from": "human", "value": "How many years are there in three eighths of a millennium?" }, { "from": "gpt", "value": "375" } ]
[ { "from": "human", "value": "What is 55431 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 13*b - 53 = 77 for b." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 2/9 (b) 3 (c) -1/116 (d) -0.3" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the third root of 60711 to the nearest integer?" }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "Is 3219 a multiple of 12?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many decades are there in 21/5 of a century?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "Calculate -534 divided by -3." }, { "from": "gpt", "value": "178" } ]
[ { "from": "human", "value": "Factor -3*b**3/7 + 24*b**2/7 + 60*b/7." }, { "from": "gpt", "value": "-3*b*(b - 10)*(b + 2)/7" } ]
[ { "from": "human", "value": "Factor 3*k**4/5 + 12*k**3/5 - 81*k**2/5 + 114*k/5 - 48/5." }, { "from": "gpt", "value": "3*(k - 2)*(k - 1)**2*(k + 8)/5" } ]
[ { "from": "human", "value": "Simplify -6*(-3 + (sqrt(1216) + 0)**2)." }, { "from": "gpt", "value": "-7278" } ]
[ { "from": "human", "value": "-241 + 12106" }, { "from": "gpt", "value": "11865" } ]
[ { "from": "human", "value": "Factor 0*p**3 - 12/23*p**2 - 6/23 + 2/23*p**4 + 16/23*p." }, { "from": "gpt", "value": "2*(p - 1)**3*(p + 3)/23" } ]
[ { "from": "human", "value": "Let v = -96 + 33. Is 6/(v/69 - -1) a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "2310/70*(-6)/(-33)" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the fourth root of 16461 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Suppose -2*n + 5*r + 24 = 2*n, 0 = -2*n + r + 6. Let s be n - (-3 - -2 - 0). Sort -2, s, -4 in ascending order." }, { "from": "gpt", "value": "-4, -2, s" } ]
[ { "from": "human", "value": "Let t = 33126/11 + -3008. Suppose -8/11 + t*v**2 + 16/11*v + 14/11*v**3 = 0. Calculate v." }, { "from": "gpt", "value": "-2, -1, 2/7" } ]
[ { "from": "human", "value": "Express 98*i**4 + 4*i**2 - 2*i**2 - 102*i**4 + 2*i in the form k + u*i + m*i**2 + x*i**4 + h*i**3 and give x." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the next term in 41, 9, -79, -253, -543, -979?" }, { "from": "gpt", "value": "-1591" } ]
[ { "from": "human", "value": "What is the fourth root of 8754 to the nearest integer?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Expand -38 - 19 - 4*d + 43 + (0*d - 3*d + d)*(3 + 3 - 5)." }, { "from": "gpt", "value": "-6*d - 14" } ]
[ { "from": "human", "value": "Let y = 1 + -1.1. Suppose 0 = -9*z - 2*z - 4*z - 105. Which is the closest to 1/2? (a) y (b) -5 (c) z" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let q = -4 - 3. Let j(l) = -l**3 + 7*l**2 - 9*l + 6. Let a be j(6). Let h = a - q. Which is smaller: h or -1?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "Let j = -12219/7 + 10873/7. Suppose -2*y + 4*r = -388, -5*y = -5*r - 497 - 468. Let o = j + y. Which is the second biggest value? (a) o (b) 2 (c) 1/3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Product of -0.3 and -3.14." }, { "from": "gpt", "value": "0.942" } ]
[ { "from": "human", "value": "Solve w + 12 = -5*g + 2, 0 = -5*g - 2*w - 5 for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 3*s - 1 = 2*j + 3, 0 = -2*s - 2*j + 16. Differentiate 4*m**s - 4 + 3*m**4 - 4*m**4 wrt m." }, { "from": "gpt", "value": "12*m**3" } ]
[ { "from": "human", "value": "Let p = -69 - -209/3. Let k = 0.6 - 0.2. Let l = -3.6 - k. What is the second biggest value in l, p, 1?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Put together -27 and 0.975." }, { "from": "gpt", "value": "-26.025" } ]
[ { "from": "human", "value": "Suppose -2*h - 3*p + 4 = -3*h, p = 2. Suppose -5*i + h*z = 5*z - 49, -3*i = -2*z - 37. Is i a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Differentiate 2*r**4 - r**3*x + 283*r**3 + 83*x - 2 with respect to r." }, { "from": "gpt", "value": "8*r**3 - 3*r**2*x + 849*r**2" } ]
[ { "from": "human", "value": "Let w(v) = 9*v**3 - 3. Let o(j) = 8*j**3 - 4. What is 5*o(d) - 6*w(d)?" }, { "from": "gpt", "value": "-14*d**3 - 2" } ]
[ { "from": "human", "value": "Suppose m - 18 + 13 = 0. Solve v - 3 + 24 = m*x, -3*x + 10 = 2*v for v." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What comes next: -37, -210, -673, -1570, -3045?" }, { "from": "gpt", "value": "-5242" } ]
[ { "from": "human", "value": "Simplify sqrt(10)/(-4*sqrt(32) + sqrt(2))." }, { "from": "gpt", "value": "-sqrt(5)/15" } ]
[ { "from": "human", "value": "Let x = -0.08 - -6.08. Let k = x + -6.2. What is the closest to 1 in k, 5, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate -4 divided by 1494." }, { "from": "gpt", "value": "-2/747" } ]
[ { "from": "human", "value": "Suppose -t - 1 = -3*q + 7, 4*t = 2*q - 2. Solve q*k = 3 - 0 for k." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the third root of 7859 to the nearest integer?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 0.08 (b) 0.07 (c) 0.3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Simplify a**(1/10)*(a*a/(a/a**(-3))*a)/a assuming a is positive." }, { "from": "gpt", "value": "a**(-19/10)" } ]
[ { "from": "human", "value": "Let v(k) be the first derivative of 0*k - 3 - 1/6*k**6 + 1/3*k**3 + 0*k**4 + 0*k**2 + 0*k**5. Find the third derivative of v(b) wrt b." }, { "from": "gpt", "value": "-60*b**2" } ]
[ { "from": "human", "value": "Work out 0.3 - -0.096." }, { "from": "gpt", "value": "0.396" } ]
[ { "from": "human", "value": "-3 (base 12) to base 9" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the t'th term of 82, 107, 144, 193, 254, 327?" }, { "from": "gpt", "value": "6*t**2 + 7*t + 69" } ]
[ { "from": "human", "value": "What is 1/((-27)/(-138)) - (-46)/(-414)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Find the third derivative of 416*a**3 + 462*a**2." }, { "from": "gpt", "value": "2496" } ]
[ { "from": "human", "value": "What is next in -1685, -1689, -1703, -1733, -1785, -1865, -1979, -2133?" }, { "from": "gpt", "value": "-2333" } ]
[ { "from": "human", "value": "What is the greatest common factor of 5845 and 35?" }, { "from": "gpt", "value": "35" } ]
[ { "from": "human", "value": "In base 13, what is -606 + 2?" }, { "from": "gpt", "value": "-604" } ]
[ { "from": "human", "value": "What is 781 to the power of 1/9, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 713 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Which is the fourth smallest value? (a) -0.01 (b) 1/5 (c) -5 (d) 2/5 (e) 5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What comes next: -43, -225, -529, -955, -1503, -2173?" }, { "from": "gpt", "value": "-2965" } ]
[ { "from": "human", "value": "Find the third derivative of 11*u**3*x**3 - 29*u**3 - u**2*x**4 - u*x**2 - 2*u - 4*x**3 wrt x." }, { "from": "gpt", "value": "66*u**3 - 24*u**2*x - 24" } ]
[ { "from": "human", "value": "Let x be 15*(26/10 + -2). Suppose 1 = -2*b + x. Factor 0 - j + 3/4*j**3 + 0*j**2 - 1/4*j**b." }, { "from": "gpt", "value": "-j*(j - 2)**2*(j + 1)/4" } ]
[ { "from": "human", "value": "Let s(g) = 10*g**3 + g - 1. Let a be s(1). Let p be (-8)/2*a/(-8). Let d = p + 0. Solve 4*l + 4*t = -29 + 5, d*l = 3*t - 6 for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is -37 at least as big as -36?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Evaluate 40/(-18) - (-8)/36." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 0.20427641 times -16?" }, { "from": "gpt", "value": "-3.26842256" } ]
[ { "from": "human", "value": "Sort -0.13, 4.3, -5 in ascending order." }, { "from": "gpt", "value": "-5, -0.13, 4.3" } ]
[ { "from": "human", "value": "Calculate the remainder when 275 is divided by 29." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Solve 3*w**5/5 - 912*w**4/5 + 91803*w**3/5 - 599454*w**2 - 6273612*w/5 - 3183624/5 = 0 for w." }, { "from": "gpt", "value": "-1, 102" } ]
[ { "from": "human", "value": "Let g = -1 - -4. Suppose -2 = 5*p + d - 21, 2*p + g*d = 18. Suppose 14 = p*n + 5. Solve y - 8 = -n*y for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let m(j) = -j**2 + 5*j + 14. Let u be m(7). Solve -2*o - 16 = -2*s, 3*o = -u*s + s - 18 for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let p(a) = 2*a**3 - 2*a**2 + 3*a + 1. Let y(z) = 2*z**3 - 3*z**2 + 4*z + 1. Let h = 11 + -14. Let r be 0 - -1 - h/3. Calculate r*y(v) - 3*p(v)." }, { "from": "gpt", "value": "-2*v**3 - v - 1" } ]
[ { "from": "human", "value": "What is the second derivative of -317 + 317 + 4*m + 19*m**4 wrt m?" }, { "from": "gpt", "value": "228*m**2" } ]
[ { "from": "human", "value": "What is the remainder when 2279 is divided by 12?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Evaluate (-12)/63*2/((-12)/7)." }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "39*41" }, { "from": "gpt", "value": "1599" } ]