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[ { "from": "human", "value": "Calculate 2 divided by -301." }, { "from": "gpt", "value": "-2/301" } ]
[ { "from": "human", "value": "Let r(t) = t**2 + 4*t - 7. Let c be r(2). Solve -c*u - 2*w = -15, u + w - 3 - 3 = 0 for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Do 0.1129 and -1/5 have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d(f) = 17*f**3 + 82*f**2 - 7. Let y(c) = 6*c**3 + 27*c**2 - 2. Let t(q) = -2*d(q) + 7*y(q). Find the third derivative of t(a) wrt a." }, { "from": "gpt", "value": "48" } ]
[ { "from": "human", "value": "Let k = -17/15 - -9/5. Suppose 2*y = -y + 9. What is the nearest to 0.1 in k, 1, y?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "In base 13, what is 5 + -6c3?" }, { "from": "gpt", "value": "-6bb" } ]
[ { "from": "human", "value": "((-2)/(-6))/((-140)/(-36) + -4)" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the first derivative of 3*a**3 - 63*a**2 + 379*a + 6159488 wrt a?" }, { "from": "gpt", "value": "9*a**2 - 126*a + 379" } ]
[ { "from": "human", "value": "-792 divided by 198" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate the common denominator of 53/10 and 107/10." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Calculate -223 divided by 4." }, { "from": "gpt", "value": "-223/4" } ]
[ { "from": "human", "value": "Suppose -x = -0 + 3. Let v be (1/x)/((-6)/(-36)). What is the least common multiple of 20 and 24/1 + 4/v?" }, { "from": "gpt", "value": "220" } ]
[ { "from": "human", "value": "Solve h = 6*h - n + 29, h - 7 = -3*n for h." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the next term in 56, 53, 42, 23, -4, -39?" }, { "from": "gpt", "value": "-82" } ]
[ { "from": "human", "value": "What is the hundreds digit of 31441?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let u(c) = 19 - c. Let v be u(17). Does 44/13 = v?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let w be 4/((-32)/(-6))*8. Let z(i) = i**3 - 6*i**2 - 6*i - 4. Let a = -3 - -10. Let q be z(a). Solve -9 = -l + 2*m, -q*m + w*m + 17 = 5*l for l." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let x be (-7)/(-21)*(1 + -1). Suppose 5*y + h - 1471 = x, -2*y - 586 = -4*y - h. Is y prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let i(a) = -a**2 + a - 2. Let x(y) = -y**3 + 4*y**2 - 3*y. Let j be x(3). Calculate i(j)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "1 - 3 - (6 - 3)" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the remainder when 25063 is divided by 8350?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is the y'th term of -1922, -1914, -1902, -1886, -1866, -1842?" }, { "from": "gpt", "value": "2*y**2 + 2*y - 1926" } ]
[ { "from": "human", "value": "What is next in 2273, 4546, 6819?" }, { "from": "gpt", "value": "9092" } ]
[ { "from": "human", "value": "Convert 312 (base 8) to base 5." }, { "from": "gpt", "value": "1302" } ]
[ { "from": "human", "value": "Let f = 5 + -2. Let g = 9 + 32. Solve -g = d + f*d + 5*c, c = d - 1 for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Work out 78 * 0.3." }, { "from": "gpt", "value": "23.4" } ]
[ { "from": "human", "value": "Evaluate (8 - 2) + 21 + -20." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let y(h) be the third derivative of h**4/24 - 5*h**3/6 - h**2. Let b be y(7). Solve 0 - 2/7*q**3 + 2/7*q + 0*q**b = 0." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Which is smaller: -551 or -0.1?" }, { "from": "gpt", "value": "-551" } ]
[ { "from": "human", "value": "What is the second derivative of 7*r**3*y**2*z - 2*r**3*y*z - 2*r**2*y**2 - 2*r*y**2*z + 2*r*y*z - 12*r*y - 3*y*z wrt y?" }, { "from": "gpt", "value": "14*r**3*z - 4*r**2 - 4*r*z" } ]
[ { "from": "human", "value": "Suppose 2*q + 16 = -4. Let f be 26/10 + (-4)/q. Solve -3*m + 2*t + 0*t - 5 = 0, 0 = 4*m + f*t + 1 for m." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let c(m) = 2*m**3 + m**2. Let k be c(1). Let a(l) = -l**3 + l. Let s be a(-1). Suppose 2*g = -2*v - 2 - s, -4*g - 6 = 5*v. Put v, k, 0 in decreasing order." }, { "from": "gpt", "value": "k, 0, v" } ]
[ { "from": "human", "value": "What is -2 + (-2 - (-3 - -2)) + 9?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let w = -1 + 6. Let r be (-4)/(-2)*w/2. Suppose -r*b + 3 = -47. Is 4 a factor of b?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is y in 2/3*y**2 + 0*y - 1/3*y**4 - 1/3*y**3 + 0 = 0?" }, { "from": "gpt", "value": "-2, 0, 1" } ]
[ { "from": "human", "value": "Solve 0 = -52*t - 120 - 88 for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Find the second derivative of 17*d**5*x - 2*d**4*x + 2*d*x + 35*x wrt d." }, { "from": "gpt", "value": "340*d**3*x - 24*d**2*x" } ]
[ { "from": "human", "value": "Round 30100 to the nearest 100000." }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "Which is the closest to 4? (a) -214 (b) -1 (c) 5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose -2*f + 5*f - z - 8 = 0, 0 = -5*f - 5*z + 40. Solve -f*v = -3*d - 4, 3*v = -6*d + 3*d + 24 for d." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let p be (-3 - 1)*(-5)/(-4). Let i be (-60)/(-25) - (-2)/p. Factor -12/5*n - 6/5*n**3 - 13/5*n**i - 4/5 - 1/5*n**4." }, { "from": "gpt", "value": "-(n + 1)**2*(n + 2)**2/5" } ]
[ { "from": "human", "value": "Solve -26*w + 152 = -7*w for w." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Evaluate (38/532)/((-2)/(-14))." }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Simplify ((d**3)**11)**(-1/25) assuming d is positive." }, { "from": "gpt", "value": "d**(-33/25)" } ]
[ { "from": "human", "value": "In base 10, what is -5147 - 2?" }, { "from": "gpt", "value": "-5149" } ]
[ { "from": "human", "value": "What is 1329 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Suppose -3*h - 12 = -6*h. Solve -6*t + 16 = -t - 3*r, 8 = -h*r for t." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Collect the terms in -19 + 6 + 23*i**3 + 13." }, { "from": "gpt", "value": "23*i**3" } ]
[ { "from": "human", "value": "Solve 2*c - 8 + 10 = -3*t, 0 = -3*c - 4*t - 2 for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let i(y) be the second derivative of -y**3/6 - 3*y**2 - 4*y. Let w(m) = -7. Let c(p) = -4*i(p) + 3*w(p). Find the first derivative of c(a) wrt a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate -5*12/(-2550)*5." }, { "from": "gpt", "value": "2/17" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {a: 4, c: 2}. Give prob of sequence cac." }, { "from": "gpt", "value": "1/15" } ]
[ { "from": "human", "value": "Solve 5 = -4*d - 3*z, 0 = -2*z + z - 3 for d." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Find the third derivative of 37*u**5 - 14*u**5 + 11*u**2 - 14*u**5 + 6*u**2 wrt u." }, { "from": "gpt", "value": "540*u**2" } ]
[ { "from": "human", "value": "What is -0.3 take away 4215?" }, { "from": "gpt", "value": "-4215.3" } ]
[ { "from": "human", "value": "Solve -9*v = -2*v - 14 for v." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the nearest to 1/5 in -3/7, 4, -3, 3?" }, { "from": "gpt", "value": "-3/7" } ]
[ { "from": "human", "value": "Suppose 512 = 10*j - 6*j. Is 32 a factor of j?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 22*j**3/9 - 46*j**2/9 - 172*j/9 + 16/9 = 0 for j." }, { "from": "gpt", "value": "-2, 1/11, 4" } ]
[ { "from": "human", "value": "Let x = 0.164 + -0.15. What is x rounded to 1 decimal place?" }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "Add 2 and 1482." }, { "from": "gpt", "value": "1484" } ]
[ { "from": "human", "value": "What is 6/5 of a tonne in kilograms?" }, { "from": "gpt", "value": "1200" } ]
[ { "from": "human", "value": "Solve -j = -1, -4*j = d + 4*d - 9 for d." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 58 a factor of 754?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the cube root of 235 to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Solve o = 5*u + 21 - 2, 3 = -3*o for u." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is smaller: 2697 or 10791/4?" }, { "from": "gpt", "value": "2697" } ]
[ { "from": "human", "value": "Solve 7*y - 30 = -2 for y." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let v(o) = 5*o**2 - 8*o - 11. Let m = 63 - 55. Let n(r) = -2*r**2 + 3*r + 4. Let j(q) = m*n(q) + 3*v(q). Let c(s) = 10*s**2 + 6. Determine c(i) + 6*j(i)." }, { "from": "gpt", "value": "4*i**2" } ]
[ { "from": "human", "value": "Solve 0 = -14*h + 60*h - 322 for h." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is 498/63 + 54/567?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose -3*g + s + 12 = 0, 5*s - 8 = -4*g + 8. Let q be (1/(-6))/((-3)/g). Let k = -197/5 + 39. What is the closest to -0.1 in k, q, 1?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "110.1 - -258" }, { "from": "gpt", "value": "368.1" } ]
[ { "from": "human", "value": "-224 (base 7) to base 13" }, { "from": "gpt", "value": "-8c" } ]
[ { "from": "human", "value": "What is the nearest to 1 in -0.05, 2, -3/5, -9?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -10*g + 25 = -15*g for g." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the closest to 2 in 5, 2.32, 3?" }, { "from": "gpt", "value": "2.32" } ]
[ { "from": "human", "value": "Let n be (-5 - -2)*(576/36)/(-16). Factor -15/2*d**2 + 25/2 - 15/4*d - 5/4*d**n." }, { "from": "gpt", "value": "-5*(d - 1)*(d + 2)*(d + 5)/4" } ]
[ { "from": "human", "value": "Let q be 3*1/((-1)/2). Let i(s) be the first derivative of s**5/60 + 5*s**4/24 - s**3/2 - 3*s**2 + 3. Let j(u) be the second derivative of i(u). What is j(q)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the thousands digit of 3285405?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "-1 * 889" }, { "from": "gpt", "value": "-889" } ]
[ { "from": "human", "value": "Let h be (1 + 6)/((-5)/(-75)). Suppose 4*x + 3 = -1, 0 = -2*j + 5*x - h. Find the common denominator of -14/9 and ((-4)/3)/(j/(-105))." }, { "from": "gpt", "value": "99" } ]
[ { "from": "human", "value": "Differentiate -9*z**3 - 2*z**2 - 2002." }, { "from": "gpt", "value": "-27*z**2 - 4*z" } ]
[ { "from": "human", "value": "Let w(l) be the first derivative of -4*l**2 + 2*l + 7. Let x(u) = 9*u - 3. Determine 5*w(t) + 4*x(t)." }, { "from": "gpt", "value": "-4*t - 2" } ]
[ { "from": "human", "value": "Divide -938 by 2." }, { "from": "gpt", "value": "-469" } ]
[ { "from": "human", "value": "Let n be 4/16 - 27/(-4). Suppose -4*v = -n*v + 6. Suppose -5*p = -v*p. Which is smaller: 1 or p?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "What is 0 times 0.069?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n(k) be the second derivative of -k**5/70 + k**4/2 - 7*k**3 + 49*k**2 + 7*k. Factor n(b)." }, { "from": "gpt", "value": "-2*(b - 7)**3/7" } ]
[ { "from": "human", "value": "Factor q**2 - 109*q/2 - 55/2." }, { "from": "gpt", "value": "(q - 55)*(2*q + 1)/2" } ]
[ { "from": "human", "value": "What is (-2)/(-7)*54/(-36)?" }, { "from": "gpt", "value": "-3/7" } ]
[ { "from": "human", "value": "Suppose 3*q**2/4 + 1533*q/2 + 3063/4 = 0. Calculate q." }, { "from": "gpt", "value": "-1021, -1" } ]
[ { "from": "human", "value": "Is 61 greater than or equal to 90?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Express -62 + 35 + 4*l - 9*l as f*l + q and give q." }, { "from": "gpt", "value": "-27" } ]
[ { "from": "human", "value": "Let u be (-10)/15 + 31/(-3). Suppose -3*n + 4*z - 12 = 0, -4*z - 1 = -13. Let g = n - u. What is the remainder when 32 is divided by g?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let h = 16 + -14. Suppose -2*k + 4 = h*v, -v = -6*k + 2*k - 7. Solve -v*q + 15 = 2*q for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Rearrange 26*a**4 - 48*a**4 + 2 + 26*a**4 + 2*a**3 - 2*a to c*a + b*a**2 + x*a**3 + r + d*a**4 and give c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is (-72)/27*((-18)/4 + 4)?" }, { "from": "gpt", "value": "4/3" } ]
[ { "from": "human", "value": "Let u(s) = 1 - 5*s. Suppose -3 + 0 = 3*g. Let w be ((-2)/(-5))/(g/10). Let f(q) = 1 - 4*q. What is w*f(d) + 3*u(d)?" }, { "from": "gpt", "value": "d - 1" } ]
[ { "from": "human", "value": "What is a (base 12) in base 14?" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "In base 12, what is -5 + -83?" }, { "from": "gpt", "value": "-88" } ]