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[ { "from": "human", "value": "Is -2 + -1 + (-1136)/(-8) a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let h = 0.2 - 1.2. Let l = -5 - -4. Let d = h - l. Which is smaller: -2/5 or d?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Let q = -1149 - -720. Let k = q - -778. What is the hundreds digit of k?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is -0.02219 rounded to four dps?" }, { "from": "gpt", "value": "-0.0222" } ]
[ { "from": "human", "value": "Let h be (-64)/(-4 + 8)*-1. Suppose h*q - 11*q = 10. Factor 1/5*a**q - 2/5*a**3 + 0 + 0*a + 1/5*a**4." }, { "from": "gpt", "value": "a**2*(a - 1)**2/5" } ]
[ { "from": "human", "value": "Rearrange -154*w**3 - 3 + 155*w**3 + 8 - 2*w**2 to t + n*w + u*w**3 + m*w**2 and give u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let i(r) = -r**3 + 4*r**2 + r - 1. Let z be i(4). Differentiate -4*k**4 + z*k**4 + 2 - 1 with respect to k." }, { "from": "gpt", "value": "-4*k**3" } ]
[ { "from": "human", "value": "Determine h, given that 3*h**3/8 + 75*h**2/4 + 429*h/2 - 507 = 0." }, { "from": "gpt", "value": "-26, 2" } ]
[ { "from": "human", "value": "What is 19/(171/(-135)) - -10?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let o(y) = -2*y. Let a(z) = 89*z**2. What is o(a(v))?" }, { "from": "gpt", "value": "-178*v**2" } ]
[ { "from": "human", "value": "Suppose 3*t + 3*i = 33, t - 2*t + 5*i - 7 = 0. Let r = -3 - -13. What is the units digit of r/4*t/5?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let z(n) be the third derivative of -17*n**8/336 + 9*n**5/20 + 11*n**2. What is the third derivative of z(a) wrt a?" }, { "from": "gpt", "value": "-1020*a**2" } ]
[ { "from": "human", "value": "What is k in -10*k**5 + 216*k**4 + 578*k**3 - 24*k**2 - 568*k - 192 = 0?" }, { "from": "gpt", "value": "-2, -1, -2/5, 1, 24" } ]
[ { "from": "human", "value": "Factor -5*k**2 - 11820*k - 6985620." }, { "from": "gpt", "value": "-5*(k + 1182)**2" } ]
[ { "from": "human", "value": "Factor 2*y**4/9 - 2*y**3/3 - 20*y**2/9." }, { "from": "gpt", "value": "2*y**2*(y - 5)*(y + 2)/9" } ]
[ { "from": "human", "value": "What is x in 6591*x**4/7 + 130299*x**3/7 - 4329*x**2 + 2337*x/7 - 60/7 = 0?" }, { "from": "gpt", "value": "-20, 1/13" } ]
[ { "from": "human", "value": "Convert 20110 (base 3) to base 4." }, { "from": "gpt", "value": "2232" } ]
[ { "from": "human", "value": "Convert 533892.8 days to weeks." }, { "from": "gpt", "value": "76270.4" } ]
[ { "from": "human", "value": "Let y = 0.1 - -0.4. Let m = 0.37 + -0.37. Put -0.4, y, m in ascending order." }, { "from": "gpt", "value": "-0.4, m, y" } ]
[ { "from": "human", "value": "Let y be (-5)/12 + (-4)/(-6). Let r = 14 + -13.86. Let v = 0.06 + r. What is the closest to y in -0.3, -0.4, v?" }, { "from": "gpt", "value": "v" } ]
[ { "from": "human", "value": "Let j = 10 + -8. Suppose 1 = n - j. Solve 0*y = -q + 4*y + 16, 0 = -n*q - 5*y - 20 for q." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let d = 4 + -1. Suppose 3*u - d - 6 = 0. Suppose t - 6 = -2*t. Which is bigger: u or t?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Solve -20 = -h + 4*s, 3*h + 0*s - 4*s - 28 = 0 for h." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the remainder when 224 is divided by 5." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Collect the terms in 2182 - 1093 - b**2 - 1089." }, { "from": "gpt", "value": "-b**2" } ]
[ { "from": "human", "value": "Solve -78*w - 21 = -85*w for w." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "How many minutes are there between 6:49 PM and 5:09 AM?" }, { "from": "gpt", "value": "620" } ]
[ { "from": "human", "value": "Suppose -3*r - 2*b + 4 - 15 = 0, r = 3*b + 11. Let i be r - (-2 - 8/(-12)). Let -1/3*c + 0 + 0*c**2 + i*c**3 = 0. What is c?" }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Let v be -3 + ((-4)/5)/((-14)/35). Is -2/405 smaller than v?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let i(y) = 3 - y. Let d(l) = 1. Let u(q) = 4*d(q) - i(q). Let h be u(4). Let n = -4.97 + -0.03. Which is the third smallest value? (a) n (b) h (c) 0.1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve -10*h + 13*h - 6 = 2*t, -5*t = 4*h - 8 for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let h be 2/10 + 11/(-5). Suppose r - 4*g = -2*r - 19, -4*g - 16 = 4*r. Which is the closest to 2/5? (a) 0.2 (b) r (c) h" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let l = -2.4 + 0.4. Let q = 34 - 33.6. Which is the second biggest value? (a) -5 (b) q (c) l" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve 0 = d - 21 + 15 for d." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let q(n) be the third derivative of n**6/30 + n**4/24 - 7*n**2. What is the second derivative of q(v) wrt v?" }, { "from": "gpt", "value": "24*v" } ]
[ { "from": "human", "value": "Subtract -0.5 from -7663." }, { "from": "gpt", "value": "-7662.5" } ]
[ { "from": "human", "value": "Factor -3*n**3 - 75*n**2 - 357*n - 285." }, { "from": "gpt", "value": "-3*(n + 1)*(n + 5)*(n + 19)" } ]
[ { "from": "human", "value": "What is the value of (7 + -7)*(2 - 3)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let x = -19 + 20. Solve -5*r + 6 - x = 0 for r." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 0 = 2*b + 2 + 10. Let z(q) = -2*q**3 - 5*q**2 + 17*q - 4. Let j(a) = -a**3 - 3*a**2 + 9*a - 4 + 6 - 4. Let t(r) = b*z(r) + 11*j(r). Give t(2)." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "How many minutes are there between 2:42 PM and 3:38 PM?" }, { "from": "gpt", "value": "56" } ]
[ { "from": "human", "value": "Let s be (6/(-4))/(6/8 + 0). Suppose 3*n = -0*n + 12. Sort s, -3, n." }, { "from": "gpt", "value": "-3, s, n" } ]
[ { "from": "human", "value": "Let n = -5213 + 11998. What is the hundreds digit of n?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is 1118 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (0 + sqrt(448) + -2)**2 + sqrt(448) - (-4*((sqrt(448)*1 - sqrt(448))**2 - sqrt(448)) - sqrt(448))." }, { "from": "gpt", "value": "452 - 48*sqrt(7)" } ]
[ { "from": "human", "value": "Let j = -721 - -723. What is the third derivative of -551*p**4 - 102*p**j + 274*p**4 + 274*p**4 + 35*p**3 wrt p?" }, { "from": "gpt", "value": "210 - 72*p" } ]
[ { "from": "human", "value": "17 * -6.9" }, { "from": "gpt", "value": "-117.3" } ]
[ { "from": "human", "value": "Let y be (-1 + -5)*1/(-2). Let k = y + -3. Let v(x) = -x**3 + x**2 - x + 11. Does 11 divide v(k)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the greatest common factor of 54 and 102?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "52 (base 15) to base 11" }, { "from": "gpt", "value": "70" } ]
[ { "from": "human", "value": "In base 2, what is 10 - -11010110?" }, { "from": "gpt", "value": "11011000" } ]
[ { "from": "human", "value": "Solve 20 = 5*m - 10*m + 5*l, 0 = m + 5*l - 14 for m." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let w(h) = h**3 - 6*h**2 + 5*h - 1. Let g be w(5). Let l be 2 - g - (-1 - 1). Solve -11 = -l*i - 1 for i." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let z(t) be the second derivative of -t**8/2240 + t**5/30 + t**4/6 + 3*t. Let w(f) be the third derivative of z(f). Differentiate w(j) with respect to j." }, { "from": "gpt", "value": "-9*j**2" } ]
[ { "from": "human", "value": "Calculate ((-6)/(-4))/(-4 + (-268)/(-64))." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "-5.51+0.077" }, { "from": "gpt", "value": "-5.433" } ]
[ { "from": "human", "value": "Let m(p) = 4*p. Let i(o) = -32*o**2. Give m(i(x))." }, { "from": "gpt", "value": "-128*x**2" } ]
[ { "from": "human", "value": "Convert 89a1 (base 12) to base 16." }, { "from": "gpt", "value": "3b89" } ]
[ { "from": "human", "value": "What is the difference between 95686 and -0.4?" }, { "from": "gpt", "value": "95686.4" } ]
[ { "from": "human", "value": "Solve h + 8 = -2*u - 6, 2*h = -8 for u." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Are 17 and 240/13 equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 5*z - 5*m + 65 = 0, -4*z - m + 3*m - 54 = 0. Is -14 at most z?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -3*l = -2*m - 4*l + 11, -5*m - 10 = -5*l. Suppose -u = -5*r + 22, -2 - 1 = -m*r + 4*u. Solve -b + r = -5*b + 3*j, -5*b + 3*j = 10 for b." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let n be (7 + -3)*1/2. Suppose 0 = -n*h - 3*f - 8, -2*h + 4*f = -0*h - 20. Let w be 6/4 - 1/h. Does 0 = w?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let a be (2 + 14/3)*48/(-40). Are -7 and a non-equal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let q(b) = -1. Let r(w) = -6 + 2 + 1 + 5*w**2 + 4. Let n(l) = 6*q(l) - r(l). Differentiate n(u) with respect to u." }, { "from": "gpt", "value": "-10*u" } ]
[ { "from": "human", "value": "-7*(12/(-105))/(20/(-150))" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Which is greater: -2/19 or -1?" }, { "from": "gpt", "value": "-2/19" } ]
[ { "from": "human", "value": "What is the remainder when 141 is divided by 18?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Is 1038302 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate ((42/(-16))/(-7))/((-24)/16)." }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "What is the remainder when 440 is divided by 5?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 284149 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -5 divided by 108?" }, { "from": "gpt", "value": "-5/108" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 3/8 (b) -0.4 (c) -47 (d) -4 (e) -5" }, { "from": "gpt", "value": "e" } ]
[ { "from": "human", "value": "Solve -5*p - 21 = 3*r, -26*p - 7 = -21*p - 4*r for p." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the cube root of 21969 to the nearest integer?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Calculate 2346 divided by -2346." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 1059 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Calculate 351 divided by -39." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Calculate -75 + 1067." }, { "from": "gpt", "value": "992" } ]
[ { "from": "human", "value": "Calculate (-4 - -3) + 6 - 15." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Suppose -5*w + 5*c = -4 - 11, -c = 3. Let u = 7 - 5. Let t(g) = g**3 + 6*g**2 - 7*g + 2. Let y be t(-7). Solve 3*b = y*j - 13, w - 8 = u*b - 2*j for b." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 2*j + 2*j + 44 = 0. Let f = j + 21. Solve 0 = -2*p - 0 - f for p." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let y = 1.4 + 0.6. Let v = y - 4. Let g = 0.4 - 0.6. Which is the third smallest value? (a) g (b) v (c) 2/13" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let c(w) = w**2 - 3*w - 14. Let l be c(6). Solve 0 = -2*k - 0*k - l for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Multiply 521 and 5." }, { "from": "gpt", "value": "2605" } ]
[ { "from": "human", "value": "Convert 17022.99 millennia to decades." }, { "from": "gpt", "value": "1702299" } ]
[ { "from": "human", "value": "-3 (base 5) to base 12" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "10/((-240)/152) - -5" }, { "from": "gpt", "value": "-4/3" } ]
[ { "from": "human", "value": "Let x(j) = 2*j - 1. What is the remainder when x(3) is divided by 4?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the third root of 39574 to the nearest integer?" }, { "from": "gpt", "value": "34" } ]
[ { "from": "human", "value": "Factor 3*d**3/5 - 24*d**2/5 + 33*d/5 + 12." }, { "from": "gpt", "value": "3*(d - 5)*(d - 4)*(d + 1)/5" } ]
[ { "from": "human", "value": "Let m(d) = -d**3 + 7*d**2 + 2*d - 4. Suppose q - 5*b = -2 - 0, 7 = q + 4*b. What is the lowest common multiple of q and m(7)?" }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "Evaluate 5 + -15 - -5 - (-9 - -1)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is -875 - 0.1?" }, { "from": "gpt", "value": "-875.1" } ]
[ { "from": "human", "value": "Solve -3*z - 15 = -4*w, 0*z + 5 = 2*w - z for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "(208 - 211)/((-3)/(-4))" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Is 1/2 at least as big as 1013?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let x = -63 - -62. Which is smaller: x or 1?" }, { "from": "gpt", "value": "x" } ]