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[ { "from": "human", "value": "Let l(s) = -s**2 - 2*s**2 + 4*s**2 - 22*s**3. Suppose 0 = -2*d + m - 7, 3*d + 11 = 3*m - 7. Let j be l(d). Solve -4*z - 1 + j = -3*o, -z = 5*o + 6 for o." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is next in -9882, -9884, -9886, -9888, -9890?" }, { "from": "gpt", "value": "-9892" } ]
[ { "from": "human", "value": "In base 2, what is -10111000001100010010000001010 - 11?" }, { "from": "gpt", "value": "-10111000001100010010000001101" } ]
[ { "from": "human", "value": "Is -2/81 <= 34025?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-6*(49/42 + 2/(-3))" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Evaluate 16 + (-8 - -2) + -7 + -5." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Round 0.00041626 to 6 dps." }, { "from": "gpt", "value": "0.000416" } ]
[ { "from": "human", "value": "Solve 0 = -3*k + s - 15, -15 = -40*s + 35*s for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let o(c) = c**2 + c**2 + c - 4*c. Let i be o(3). Calculate the highest common divisor of i and 9." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "36 divided by 1281265" }, { "from": "gpt", "value": "36/1281265" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {p: 2, h: 1, r: 1}. What is prob of picking 1 r and 2 p?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "What is the derivative of -2*k*n**2 - 4196*k*n - 2*n**2 + 40*n + 53 wrt k?" }, { "from": "gpt", "value": "-2*n**2 - 4196*n" } ]
[ { "from": "human", "value": "In base 8, what is 51 - -165?" }, { "from": "gpt", "value": "236" } ]
[ { "from": "human", "value": "What is -2 + -4 + 5 + -4 + 4?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 4/(-6)*(-15)/10?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 0 = -f + 4*d + 16, -4*d - 15 = -f + d. Let c(p) = -p**2 + 6*p. Calculate the smallest common multiple of -3 + ((-44)/f)/((-5)/25) and c(4)." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Simplify g**(7/4)*(g*g**(-3)*g)/g*g/g**(-5)*g*g*g*g**8 assuming g is positive." }, { "from": "gpt", "value": "g**(67/4)" } ]
[ { "from": "human", "value": "Suppose -6 = 3*g - 6*g. Is g greater than -3?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let p be 40/18 - (-10)/(-45). What is the first derivative of -p - 4*w**4 + 0*w**4 + 5 wrt w?" }, { "from": "gpt", "value": "-16*w**3" } ]
[ { "from": "human", "value": "In base 9, what is -14047 - -3?" }, { "from": "gpt", "value": "-14044" } ]
[ { "from": "human", "value": "Sort 0.1, -2, -15, -3/2, -1/2 in decreasing order." }, { "from": "gpt", "value": "0.1, -1/2, -3/2, -2, -15" } ]
[ { "from": "human", "value": "Let s = -2.96 + -0.04. Let q = -2.1 - -1.2. Let k = q - -0.9. Which is the nearest to -1? (a) k (b) s (c) -1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the hundreds digit of 290?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 1308.8754 seconds in minutes?" }, { "from": "gpt", "value": "21.81459" } ]
[ { "from": "human", "value": "Convert 577.49 micrometers to millimeters." }, { "from": "gpt", "value": "0.57749" } ]
[ { "from": "human", "value": "Multiply -2 and -48." }, { "from": "gpt", "value": "96" } ]
[ { "from": "human", "value": "Let o(v) = 29*v - 6. Suppose -2*l + 1 + 11 = 0. Let b be o(l). What is the highest common factor of b and 24?" }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "Solve 6*b = -5*b + 22 for b." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let w(o) = -o**6 + o**5 + o - 1. Let f(t) = -10*t**6 + 9*t**5 - 3*t**2 + 9*t - 9. Let s(r) = -2*f(r) + 18*w(r). Find the third derivative of s(p) wrt p." }, { "from": "gpt", "value": "240*p**3" } ]
[ { "from": "human", "value": "Is 1020 a multiple of 17?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-12996 divided by 4" }, { "from": "gpt", "value": "-3249" } ]
[ { "from": "human", "value": "Suppose 3*r - 2*r = 8. Let f be r*1/(-5) - -2. Is -1/3 greater than f?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 44/(-55) - (-164)/230." }, { "from": "gpt", "value": "-2/23" } ]
[ { "from": "human", "value": "Let d = 0.08 + 0.42. Which is the closest to -1/3? (a) d (b) 2/7 (c) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve -18*a + 17*a = 4*q + 24, -3*a + 3 = -3*q for q." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 5*c - 2*y - 17 = 0, -c - 2*y = 37 - 38 for c." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 5113.57253 rounded to the nearest integer?" }, { "from": "gpt", "value": "5114.0" } ]
[ { "from": "human", "value": "Let z be ((-1227)/161)/((-3224)/(-28)). Let s = z - -1/598. Is 1 at most as big as s?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let v(o) = 0*o**2 - 6*o - 1 - 3 - 2*o - o**2. Let a be v(-6). Is a*4 - (1 - 0) composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the second derivative of 15418*c**2 + 105*c - 11." }, { "from": "gpt", "value": "30836" } ]
[ { "from": "human", "value": "Suppose 5*v + 0 = 5. Let z = 14 - 10. Suppose i + v = z. Solve -i*x + 9 = -3*u, -4*u = 2*x - 5*x + 14 for x." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -m**3/3 + 127*m**2/3 - 3400*m/3 - 13872 = 0 for m." }, { "from": "gpt", "value": "-9, 68" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) -4.35 (b) 1/7 (c) 0.4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the square root of 3367 to the nearest integer?" }, { "from": "gpt", "value": "58" } ]
[ { "from": "human", "value": "Let u(v) be the third derivative of -2*v**7/105 - v**6/3 - 32*v**5/15 - 16*v**4/3 - 18*v**2. Let u(t) = 0. What is t?" }, { "from": "gpt", "value": "-4, -2, 0" } ]
[ { "from": "human", "value": "What is the r'th term of 17, -3, -37, -85, -147, -223?" }, { "from": "gpt", "value": "-7*r**2 + r + 23" } ]
[ { "from": "human", "value": "Suppose f + 33 = 2*r - 4*f, 5*r - 4*f = 40. Solve -b + 12 = -r*b for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let u = 7 - 6.6. Let m = -0.9 + -0.1. What is the nearest to m in u, 5, 1/2?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Multiply 73 and 0.07." }, { "from": "gpt", "value": "5.11" } ]
[ { "from": "human", "value": "Let a = 0.1 - 0.2. Let l = -4 + 10. Let i = -5 + l. What is the smallest value in i, a, -0.2?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Express -14*d + 0*d**2 + 2*d**2 + 15*d in the form k*d**2 + s + p*d and give s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "In base 8, what is 0 - -21?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Let s(k) be the third derivative of k**8/84 - 4*k**7/105 + 7*k**2. Solve s(j) = 0 for j." }, { "from": "gpt", "value": "0, 2" } ]
[ { "from": "human", "value": "What is the p'th term of -1892, -1891, -1890, -1889?" }, { "from": "gpt", "value": "p - 1893" } ]
[ { "from": "human", "value": "Let p(f) = 17*f**3 - 7*f**2 + 13*f - 42. What is the units digit of p(6)?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the b'th term of -24, -30, -38, -48?" }, { "from": "gpt", "value": "-b**2 - 3*b - 20" } ]
[ { "from": "human", "value": "Divide 310 by 62." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let w(j) = 6*j**2. Let a(n) = 2*n. Let v(t) = 6*t. Let k(q) = -8*a(q) + 3*v(q). Give k(w(i))." }, { "from": "gpt", "value": "12*i**2" } ]
[ { "from": "human", "value": "What is the next term in 10, -21, -64, -113, -162, -205, -236?" }, { "from": "gpt", "value": "-249" } ]
[ { "from": "human", "value": "What are the prime factors of 32950?" }, { "from": "gpt", "value": "2, 5, 659" } ]
[ { "from": "human", "value": "Evaluate (0/2 - 1)*38/38." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is (-3)/(-7) + 0 + (-4)/14?" }, { "from": "gpt", "value": "1/7" } ]
[ { "from": "human", "value": "What is the value of (-100)/26 + (-8)/52?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Is 118 a factor of 25551?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 2*q = 3*q. What is the units digit of (-1)/((q - -1) + -2)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let x(l) = -2 + 3 + 7*l + 1 - 3*l. Let o be x(2). Solve -q = -3*q + o for q." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let d = 53 + -94. Let i = 62 + d. What is the greatest common factor of i and 14?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the cube root of 56230 to the nearest integer?" }, { "from": "gpt", "value": "38" } ]
[ { "from": "human", "value": "Suppose 0 = 4*z - 0 - 36. Suppose 4*l = -w + 30, -3*w = -6*w + 2*l + 20. Suppose 14*p = w*p + 140. What is the remainder when p is divided by z?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let f be 2 + -3 + (-1 - -3). Let i be f/1*4*15. Suppose -x - i = -3*x. Calculate the greatest common divisor of x and 6." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is next in 42, 106, 180, 270, 382, 522?" }, { "from": "gpt", "value": "696" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 5/2 (b) -2 (c) -0.09" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let y = 0.07 + 2.93. Let a = y - 5. Suppose -3*t + 20 = -5*z - 13, 0 = -4*z - t - 23. Sort z, 3, a." }, { "from": "gpt", "value": "z, a, 3" } ]
[ { "from": "human", "value": "19*0.045" }, { "from": "gpt", "value": "0.855" } ]
[ { "from": "human", "value": "In base 14, what is 75 + 3?" }, { "from": "gpt", "value": "78" } ]
[ { "from": "human", "value": "What comes next: -7, -18, -29, -34, -27, -2?" }, { "from": "gpt", "value": "47" } ]
[ { "from": "human", "value": "Solve 5*k - 13 - 7 = 0 for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "(-9)/27*(-12)/(-2)" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Factor -c**4 + 34*c**3 - 31*c**2 - 66*c." }, { "from": "gpt", "value": "-c*(c - 33)*(c - 2)*(c + 1)" } ]
[ { "from": "human", "value": "Simplify ((sqrt(78)*-1)/sqrt(6))**2 + 2 + sqrt(26)/sqrt(2) + sqrt(39)/(sqrt(3) - 2*sqrt(3)*-1)." }, { "from": "gpt", "value": "4*sqrt(13)/3 + 15" } ]
[ { "from": "human", "value": "What is 114 divided by -3?" }, { "from": "gpt", "value": "-38" } ]
[ { "from": "human", "value": "Express (-12 - 1 - 2)*(3*x - 2*x**3 - 3*x) - 4*x**3 + 5*x**3 + x**3 as i*x + z*x**3 + q + t*x**2 and give t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 0 at most -1/19230?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 0.127637 plus -1.7?" }, { "from": "gpt", "value": "-1.572363" } ]
[ { "from": "human", "value": "Is 29 at least as big as 28?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the b'th term of -1, -23, -47, -61, -53?" }, { "from": "gpt", "value": "2*b**3 - 13*b**2 + 3*b + 7" } ]
[ { "from": "human", "value": "Let d = 18 - 14. Factor 20/3*r + 10*r**3 - 37/3*r**2 - 3*r**d - 4/3." }, { "from": "gpt", "value": "-(r - 1)**2*(3*r - 2)**2/3" } ]
[ { "from": "human", "value": "Let t(z) = 6*z - 1. Let s(i) = 7*i - 1. Let l(y) = 5*s(y) - 6*t(y). Let o be l(-5). Suppose -o*q + 20 = -q. Solve 0 = -q*h - 2 - 6 for h." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let y(p) be the second derivative of p**4/12 + 7*p. Solve y(f) = 0 for f." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the value of ((-2)/14)/((-24)/28)?" }, { "from": "gpt", "value": "1/6" } ]
[ { "from": "human", "value": "What is the n'th term of -141, -536, -1195, -2118?" }, { "from": "gpt", "value": "-132*n**2 + n - 10" } ]
[ { "from": "human", "value": "What is the third biggest value in 2, -4/5, -7, 1, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 1171 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Is -111 > -552/5?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "0 - 30.34" }, { "from": "gpt", "value": "-30.34" } ]
[ { "from": "human", "value": "What is the sixth root of 1995 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let n be 6 + -7 + -1 + 6. Let w = 9 - 5. Suppose 8 - w = f. Solve 2*o + 0*r = 2*r - n, -3*r - 29 = f*o for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Sort 2/9, -1, -1/40, 0.3, -37 in decreasing order." }, { "from": "gpt", "value": "0.3, 2/9, -1/40, -1, -37" } ]
[ { "from": "human", "value": "Solve -8450*k**3 + 8970*k**2 - 528*k + 8 = 0." }, { "from": "gpt", "value": "2/65, 1" } ]
[ { "from": "human", "value": "Which is smaller: -40 or 1?" }, { "from": "gpt", "value": "-40" } ]