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[ { "from": "human", "value": "Let x(c) = -c**3 + 3*c**2 + 4*c + 3. Let n be x(4). What is the first derivative of -6*o - 1 - n*o + o**2 + 9*o wrt o?" }, { "from": "gpt", "value": "2*o" } ]
[ { "from": "human", "value": "Calculate -5 + 0.8724." }, { "from": "gpt", "value": "-4.1276" } ]
[ { "from": "human", "value": "Solve s + 9 = 9 for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the q'th term of -17, -57, -159, -353, -669, -1137, -1787?" }, { "from": "gpt", "value": "-5*q**3 - q**2 - 2*q - 9" } ]
[ { "from": "human", "value": "Let c(v) = v**2 + 13*v + 18. Let l be c(-12). Solve 3*o = 3*i + 15, 0 = l*i - 3*i - 4*o + 19 for i." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let d be (3/(-5))/((-60)/1100). What is the nearest to d in 3/34, 2, -3/5?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Evaluate (-2)/(-3) - (-7)/(-6)." }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "What is 53/5 of a micrometer in nanometers?" }, { "from": "gpt", "value": "10600" } ]
[ { "from": "human", "value": "Simplify (1*sqrt(2057)*-6)**2 + ((sqrt(2057)*-1 + -4 - sqrt(2057))**2 - sqrt(2057))." }, { "from": "gpt", "value": "165*sqrt(17) + 82296" } ]
[ { "from": "human", "value": "Do 106/3 and 35 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f = -137/4 - -34. Which is the third biggest value? (a) -4/7 (b) -3 (c) f" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let h(d) = d**3 - 6*d**2 + 3*d + 2. Let x be h(5). Let p(a) = -a**3 - 8*a**2 - a - 4. Let i be p(x). Solve -i*b - f - 15 = 0, 4*b + f = -4*f - 11 for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 24107 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the hundreds digit of 92138172?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What are the prime factors of 190229786?" }, { "from": "gpt", "value": "2, 19, 5006047" } ]
[ { "from": "human", "value": "What is 65930.53cm in meters?" }, { "from": "gpt", "value": "659.3053" } ]
[ { "from": "human", "value": "Calculate -13*0.0251." }, { "from": "gpt", "value": "-0.3263" } ]
[ { "from": "human", "value": "Suppose 0 = -3*f - 5 - 4. Let x = f - -4. Let c be -3*1*-1*x. Solve -l - 3 = -3*o, 2*o = 5*o - 3*l + c for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third derivative of -d**2*j**3 + 2*d**2*j**2*x**2 - d**2*j - d*j**3*x + 14*d*j + j**3*x**2 - 48*j**3 - 298*j**2 wrt j?" }, { "from": "gpt", "value": "-6*d**2 - 6*d*x + 6*x**2 - 288" } ]
[ { "from": "human", "value": "-4 times 102" }, { "from": "gpt", "value": "-408" } ]
[ { "from": "human", "value": "Let r(g) = -g**3 + 3*g**2. Let n be r(2). Let j(p) = 2*p**3 + 3*p**2 - 4*p - 3. Is j(n) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 5 (base 12) in base 9?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "In base 5, what is 42 + -10?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "How many millimeters are there in 521.8 kilometers?" }, { "from": "gpt", "value": "521800000" } ]
[ { "from": "human", "value": "Let y(r) = 1 - 2*r. Let o(f) = 2 - 4*f. Calculate 6*o(w) - 13*y(w)." }, { "from": "gpt", "value": "2*w - 1" } ]
[ { "from": "human", "value": "Put -10/9, 3/4, -0.06, -5, -0.3 in increasing order." }, { "from": "gpt", "value": "-5, -10/9, -0.3, -0.06, 3/4" } ]
[ { "from": "human", "value": "Suppose 6*l - 10 = 2*l - 2*j, -5*j + 4 = 3*l. Suppose -v - 11 = -2*z, 2*v - 14 = -l*z - 1. Which is the closest to 1? (a) -0.5 (b) -2 (c) v" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate the remainder when 664 is divided by 18." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 8 and 1907." }, { "from": "gpt", "value": "15256" } ]
[ { "from": "human", "value": "Expand 3*s**3 - 3*s**3 + 4*s**4 + (-3*s**2 - 2*s**2 + 2*s**2)*(-4*s**2 - 2*s**2 + 4*s**2)." }, { "from": "gpt", "value": "10*s**4" } ]
[ { "from": "human", "value": "What is -14 divided by 4?" }, { "from": "gpt", "value": "-7/2" } ]
[ { "from": "human", "value": "Which is the nearest to 16/7? (a) 0.3 (b) -0.2 (c) -2/15 (d) 1" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is next in 4327, 8658, 12991, 17326?" }, { "from": "gpt", "value": "21663" } ]
[ { "from": "human", "value": "Let k(z) = -z - 5. Let w be k(-5). Suppose 3*t - 2 + 8 = w. Let r = -3 - -3.5. What is the second biggest value in 2/17, t, r?" }, { "from": "gpt", "value": "2/17" } ]
[ { "from": "human", "value": "2*0.311" }, { "from": "gpt", "value": "0.622" } ]
[ { "from": "human", "value": "-0.2 * -0.355" }, { "from": "gpt", "value": "0.071" } ]
[ { "from": "human", "value": "Let n(q) be the first derivative of q**5/25 - q**4/20 - q**3/3 - 3*q**2/10 + 26. Factor n(s)." }, { "from": "gpt", "value": "s*(s - 3)*(s + 1)**2/5" } ]
[ { "from": "human", "value": "Solve 76 = -48*z - 68 for z." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 41467 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let q(h) = -h**2 + 6*h - 3. Let o be q(6). Calculate the remainder when 13 is divided by 3/(9/(-5))*o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let t(b) = b**3 - 9*b**2 + 8*b + 4. Let x be t(8). Let n be (-2 + (-10)/(-4))*x. Solve 0 = n*m - 3 - 5 for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let p(h) = 77*h + 1. Let g be p(5). Let o = g + 1014. Round o to the nearest one thousand." }, { "from": "gpt", "value": "1000.0" } ]
[ { "from": "human", "value": "Let m be (0 + -1)*(0 - 2). Suppose m*z - 16 = -2*z. Suppose 0*k + v - 8 = -4*k, 2*k - z = 2*v. Let n(b) = -b**3 + 4*b**2 - b - 2. Determine n(k)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let i(n) = -1. Let y(o) be the third derivative of 2*o**4/3 - 16*o**3/3 - 6*o**2 - 2*o. Let j(d) = 32*i(d) - y(d). Let c(h) = -2*h**2. Determine j(c(s))." }, { "from": "gpt", "value": "32*s**2" } ]
[ { "from": "human", "value": "What is the value of (6/(-7))/3 - (-650)/70?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Evaluate (-4 - -1) + (-10 - -8)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "1/2*0*(-12)/(-96)" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 0.4 + -0.559975?" }, { "from": "gpt", "value": "-0.159975" } ]
[ { "from": "human", "value": "What is the value of (-148)/(-14)*1*42/36*-3?" }, { "from": "gpt", "value": "-37" } ]
[ { "from": "human", "value": "Total of 114 and -17.78." }, { "from": "gpt", "value": "96.22" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 3 and 39." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Factor -h**4 - 43*h**3 + 45*h**2 + 43*h - 44." }, { "from": "gpt", "value": "-(h - 1)**2*(h + 1)*(h + 44)" } ]
[ { "from": "human", "value": "Let j(w) = -2*w**2 + w. Let k be j(1). Suppose 2*q - 76 = 110. Let a = -652/7 + q. What is the closest to k in 1, 4/3, a?" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is 63/8 of a tonne in kilograms?" }, { "from": "gpt", "value": "7875" } ]
[ { "from": "human", "value": "What is the value of 10/(-4)*(-208)/260*1?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -231 - 237 = -6*b. List the prime factors of b." }, { "from": "gpt", "value": "2, 3, 13" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 0.2 (b) -5 (c) -2/5 (d) -22" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is -a (base 11) in base 10?" }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Let c = 313/2460 + 1/164. What is the third smallest value in -2/3, -4, c, 1/3?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let u be (0 - 0)/(4 + -6). Which is smaller: 1/3 or u?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Sort 1/2, -1, -1/4, -0.1, -2/9 in ascending order." }, { "from": "gpt", "value": "-1, -1/4, -2/9, -0.1, 1/2" } ]
[ { "from": "human", "value": "What is the value of -1 - -5 - 3/1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let c = 36 + -34. Let s be (-2)/((-6)/10 - -1). Sort c, s, 0." }, { "from": "gpt", "value": "s, 0, c" } ]
[ { "from": "human", "value": "Let l(r) = r**2 - 5*r - 10. Let q be l(7). Suppose -d + q + 0 = 0. Let g = 106 - 103. Which is bigger: d or g?" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is -3b (base 14) in base 10?" }, { "from": "gpt", "value": "-53" } ]
[ { "from": "human", "value": "Let y = 0.28 + -0.3. Let g = y - 4.98. Let f = 10 + g. What is the closest to 0.1 in f, 0.3, 1/5?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Find the third derivative of 618*t**3 - t**2 - 95 wrt t." }, { "from": "gpt", "value": "3708" } ]
[ { "from": "human", "value": "What is the p'th term of -56, -54, -52, -50, -48?" }, { "from": "gpt", "value": "2*p - 58" } ]
[ { "from": "human", "value": "What comes next: 388, 770, 1148, 1522?" }, { "from": "gpt", "value": "1892" } ]
[ { "from": "human", "value": "Let k(n) = -n**3 - 3*n**2 - 2*n + 4. Let b be k(-3). Let q(p) = -p**2 + 12*p - 11. Let u be q(b). Solve u + 17 = h + 5*r, 2*r = 3*h + 7 for h." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -13*p = -224402 - 20141. Is p composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let g = -0.36 - 0.04. Let f be (7/(-2) + 3)*0. Which is the second biggest value? (a) g (b) f (c) -1" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose 5*x + d - 339 = 0, 3*x - 338 = -2*x - 2*d. What is the remainder when x is divided by 14?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Let x = -830/29511 + -1112911361/9709119. Let z = -57165043/6580 + x. Let d = -8797 - z. Find the common denominator of d and -87/20." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let h(g) = 2*g**3 + 7*g**2 + 2*g. Let k(b) = -3*b + 7668 - 2*b**3 - 8*b**2 - 7668. Give -3*h(x) - 2*k(x)." }, { "from": "gpt", "value": "-2*x**3 - 5*x**2" } ]
[ { "from": "human", "value": "Let i = 662288571 - 662288288.000133. Let s = i - 283. Round s to 5 dps." }, { "from": "gpt", "value": "-0.00013" } ]
[ { "from": "human", "value": "Subtract 158 from -3128." }, { "from": "gpt", "value": "-3286" } ]
[ { "from": "human", "value": "Collect the terms in -258*h**2 + 184*h - 352*h + 165*h." }, { "from": "gpt", "value": "-258*h**2 - 3*h" } ]
[ { "from": "human", "value": "Let f = -33 + 40. Solve 0 = -4*b + 3*x - f, -2*b - 2*x - 11 = -x for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Work out -3.6 * 3." }, { "from": "gpt", "value": "-10.8" } ]
[ { "from": "human", "value": "Simplify -2 + -3*(sqrt(3) - (sqrt(3) + 2 + 2))." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the square root of 191 to the nearest integer?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Put 5, 57261, -0.7, -1/2, -2 in descending order." }, { "from": "gpt", "value": "57261, 5, -1/2, -0.7, -2" } ]
[ { "from": "human", "value": "Let a = -35 - -7. Let k be (a/(-21))/((-1)/(-27)). Calculate the highest common divisor of k and 90." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Solve 18 = 19*x - 21*x for x." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Solve 10*g + 14*g - 120 = 0 for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Determine s, given that 3*s**3/5 + 27*s**2/5 + 12*s + 36/5 = 0." }, { "from": "gpt", "value": "-6, -2, -1" } ]
[ { "from": "human", "value": "Let j = 0.1 + 0.3. Let l = j + -0.3992. What is l rounded to four dps?" }, { "from": "gpt", "value": "0.0008" } ]
[ { "from": "human", "value": "What is the y'th term of -444, -893, -1344, -1797?" }, { "from": "gpt", "value": "-y**2 - 446*y + 3" } ]
[ { "from": "human", "value": "Let f(k) be the second derivative of 2*k**5/5 + 11*k**3/6 - k**2 - 2*k - 16. Find the second derivative of f(g) wrt g." }, { "from": "gpt", "value": "48*g" } ]
[ { "from": "human", "value": "Differentiate 90 - 229*r**3 with respect to r." }, { "from": "gpt", "value": "-687*r**2" } ]
[ { "from": "human", "value": "Which is smaller: -3/4 or 6/313?" }, { "from": "gpt", "value": "-3/4" } ]
[ { "from": "human", "value": "Suppose 5*q + 2 = 2*a + 7, -2 = -4*a - 2*q. Suppose -3*j = -5*z + 4, -3*z - 6*j - 18 = -j. What is the third smallest value in a, 3, z?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let y(z) be the first derivative of -z**7/126 + z**6/45 - z**5/60 + 5*z - 6. Let s(f) be the first derivative of y(f). Factor s(c)." }, { "from": "gpt", "value": "-c**3*(c - 1)**2/3" } ]
[ { "from": "human", "value": "How many months are there in one tenth of a decade?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Which is smaller: 1/3937 or 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 5*m = j + 15, -5*j + 5 = -5*m + 20 for j." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let q = -9 - -13. Let v be -5 + 1 + (q - 1). Sort -4, 2, v in descending order." }, { "from": "gpt", "value": "2, v, -4" } ]
[ { "from": "human", "value": "-26.887 + -2" }, { "from": "gpt", "value": "-28.887" } ]
[ { "from": "human", "value": "Let k = 13 - -30. Let j = -299/7 + k. Find n such that 8/7*n + 8/7 + j*n**2 = 0." }, { "from": "gpt", "value": "-2" } ]