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math

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[ { "from": "human", "value": "In base 3, what is 11220 + 2000?" }, { "from": "gpt", "value": "20220" } ]
[ { "from": "human", "value": "Let f(h) = h**2. Let g(a) = -3*a**2 + a + 1. Calculate -5*f(y) - g(y)." }, { "from": "gpt", "value": "-2*y**2 - y - 1" } ]
[ { "from": "human", "value": "What is the value of ((-6)/(-4))/(264/(-176))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve 4*g + 36*g = -240 for g." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is -6 + (13 - 13) + 0/1?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Sort -11, -185, -2 in descending order." }, { "from": "gpt", "value": "-2, -11, -185" } ]
[ { "from": "human", "value": "Let k(z) = 14*z**2 + 3. Let t(v) = 29*v**2 + 5. Determine 5*k(s) - 3*t(s)." }, { "from": "gpt", "value": "-17*s**2" } ]
[ { "from": "human", "value": "Solve i = 4*m + 24, -202*m + 206*m + 32 = 3*i for m." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the smallest value in 0.05, -0.2, -1/9?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Simplify (sqrt(132)/(sqrt(12)/sqrt(3)))/sqrt(11)*2." }, { "from": "gpt", "value": "2*sqrt(3)" } ]
[ { "from": "human", "value": "(12/27)/(-15*(-2)/5)" }, { "from": "gpt", "value": "2/27" } ]
[ { "from": "human", "value": "Put -2/7, -1.89, -3, 0 in descending order." }, { "from": "gpt", "value": "0, -2/7, -1.89, -3" } ]
[ { "from": "human", "value": "Evaluate 0 - (0 + 2 - 10) - 4." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -s + m = -8, -m = 3*s + 4*m. Let w(x) be the first derivative of -3*x - s + 1 - x**3 + 1 + 5*x. What is the first derivative of w(a) wrt a?" }, { "from": "gpt", "value": "-6*a" } ]
[ { "from": "human", "value": "What is the value of 138/(-42) + 36/28 + -1?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Evaluate -1 - ((6 + -3 - -4) + -4)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve 7*m - 6*m = 1 for m." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 0 = 3*n + 2*i - 8, 2*n + 0*i - 4 = -2*i. Solve 0*y - 3*y = -n*w + 20, 4*w - 20 = -2*y for w." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Determine v, given that 2*v**2/19 + 2784*v/19 - 2786/19 = 0." }, { "from": "gpt", "value": "-1393, 1" } ]
[ { "from": "human", "value": "What is the w'th term of 263, 545, 835, 1127, 1415, 1693?" }, { "from": "gpt", "value": "-w**3 + 10*w**2 + 259*w - 5" } ]
[ { "from": "human", "value": "Calculate (126/140)/((-3)/(-5))." }, { "from": "gpt", "value": "3/2" } ]
[ { "from": "human", "value": "Simplify (1 + sqrt(99))**2 + 1*(sqrt(176))**2." }, { "from": "gpt", "value": "6*sqrt(11) + 276" } ]
[ { "from": "human", "value": "Simplify 3 + ((sqrt(153) - (2 + sqrt(153))) + sqrt(153))*-3." }, { "from": "gpt", "value": "9 - 9*sqrt(17)" } ]
[ { "from": "human", "value": "Let q be 5*((-26)/(-5) + -4). Let s(o) = 2*o + 4. Let z(g) = -2*g - 5. Give q*z(t) + 7*s(t)." }, { "from": "gpt", "value": "2*t - 2" } ]
[ { "from": "human", "value": "Are 686 and 684 unequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -g + 16 = -9*g for g." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let d(t) = 181*t - 1. Let w(f) be the first derivative of -f**2 - 220. Calculate w(d(m))." }, { "from": "gpt", "value": "2 - 362*m" } ]
[ { "from": "human", "value": "In base 7, what is -152 + -43254?" }, { "from": "gpt", "value": "-43436" } ]
[ { "from": "human", "value": "Let n = 0.1 + -0.2. Suppose 8*q = -31 - 9. What is the closest to n in 2/13, q, 0.5?" }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "What is the p'th term of -1011, -1009, -1007, -1005, -1003, -1001?" }, { "from": "gpt", "value": "2*p - 1013" } ]
[ { "from": "human", "value": "Let z be (6/4)/(-3*2). Let j = 0.2 - -0.9. Let s = j - -1.9. Which is bigger: s or z?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "Calculate 666 divided by -2." }, { "from": "gpt", "value": "-333" } ]
[ { "from": "human", "value": "What is the cube root of 21717 to the nearest integer?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "In base 12, what is -5 - -170?" }, { "from": "gpt", "value": "167" } ]
[ { "from": "human", "value": "Suppose 0 = -4*s - 2*x + 98, 4*s - 68 = x + 3*x. Calculate the remainder when s is divided by 12." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Solve 4*h - 4*w + 7 = 15, h + 5*w = 20 for h." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let z(t) = t + 1. Let p be z(5). Let g(b) = -4*b - 5. Let s(n) = 2 + 7*n - 2*n + 0*n + 4. Determine p*g(h) + 5*s(h)." }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "Let q(a) = -4*a**2 + 3*a - 9. Let p be (-8)/20 - (-17)/5. Let x(d) = -7*d**2 + 7*d - 18. Let f(w) = p*x(w) - 5*q(w). Factor f(z)." }, { "from": "gpt", "value": "-(z - 3)**2" } ]
[ { "from": "human", "value": "Let o = -137 - -275/2. What is the closest to -2 in 1/12, 0, o?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is -10 at least as big as -0.3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 13, what is 0 - 5?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Factor -9*h**3 + 7/2*h**4 + 10*h**2 + 0 - 1/2*h**5 - 4*h." }, { "from": "gpt", "value": "-h*(h - 2)**3*(h - 1)/2" } ]
[ { "from": "human", "value": "What is -10 + (1 + 5 - -9)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the nearest to -1/4 in -0.177, 0.09, -2/17?" }, { "from": "gpt", "value": "-0.177" } ]
[ { "from": "human", "value": "Let l(t) = -t**3 + 11*t**2 - 19*t + 23. Determine l(9)." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "What is the o'th term of -29, -53, -91, -143, -209, -289?" }, { "from": "gpt", "value": "-7*o**2 - 3*o - 19" } ]
[ { "from": "human", "value": "What is the remainder when 228 is divided by 11?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Solve -5*l + 2*g + 6 = 6*g, 0 = -4*l + 4*g + 12 for l." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "How many minutes are there between 11:51 PM and 11:33 AM?" }, { "from": "gpt", "value": "702" } ]
[ { "from": "human", "value": "What is the fourth smallest value in 18, 3, 5, 0.1, -5?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the third derivative of f**4*q + 6*f**3*q**3 + 4*f**3*q - 3*f**2*q**2 + 2*f**2 - q**3 wrt f?" }, { "from": "gpt", "value": "24*f*q + 36*q**3 + 24*q" } ]
[ { "from": "human", "value": "What is 3038 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let i(l) be the second derivative of 0 + 0*l**2 + 5/12*l**4 + 0*l**3 - 3*l + 3/20*l**5. Find the third derivative of i(o) wrt o." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Let -2*k**3/11 + 12*k**2/11 - 10*k/11 = 0. What is k?" }, { "from": "gpt", "value": "0, 1, 5" } ]
[ { "from": "human", "value": "Let x(l) be the first derivative of 2*l**3/3 - 7*l**2/2 - 5. Let h = -9 - -5. Let f(i) be the first derivative of -i**3/3 + 2*i**2 + 1. Give h*x(r) - 7*f(r)." }, { "from": "gpt", "value": "-r**2" } ]
[ { "from": "human", "value": "Find the third derivative of -196*l**3*y + 33*l**2 - 2*y wrt l." }, { "from": "gpt", "value": "-1176*y" } ]
[ { "from": "human", "value": "What is the u'th term of 62, 68, 76, 86, 98?" }, { "from": "gpt", "value": "u**2 + 3*u + 58" } ]
[ { "from": "human", "value": "Let l(z) = -6*z - 7. Let m be l(7). Let h = m - -70. Is h a multiple of 9?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify sqrt(11) + (-6*sqrt(44))**2 + 3*sqrt(891) + sqrt(11)." }, { "from": "gpt", "value": "29*sqrt(11) + 1584" } ]
[ { "from": "human", "value": "Let t(j) be the second derivative of -j**3/3 - 12*j. Let a(p) = 8*p**2. What is t(a(m))?" }, { "from": "gpt", "value": "-16*m**2" } ]
[ { "from": "human", "value": "Is 2572331 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 27 = 4*q + 3*f, -2*f - f = -15. Let m(i) = i**2 + 4*i - 1. Let n be m(q). Solve 0 = -3*b - 2*b - n for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the smallest value in -2/9, -2, -11/4, 2/9, 2?" }, { "from": "gpt", "value": "-11/4" } ]
[ { "from": "human", "value": "(1/(-18))/((-18)/(-54))" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "In base 11, what is -31 - 31?" }, { "from": "gpt", "value": "-62" } ]
[ { "from": "human", "value": "Is 12/1013 at least 1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let l = 29 - 26. Is ((-261)/3)/(27/(-6) + l) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let f = -21 - -79. Let r = -41 + f. Let j = r + 2. Calculate the remainder when 36 is divided by j." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "4.19*-0.2" }, { "from": "gpt", "value": "-0.838" } ]
[ { "from": "human", "value": "How many minutes are there between 5:27 AM and 5:13 PM?" }, { "from": "gpt", "value": "706" } ]
[ { "from": "human", "value": "In base 11, what is 88 - 6?" }, { "from": "gpt", "value": "82" } ]
[ { "from": "human", "value": "In base 5, what is 10 + -214?" }, { "from": "gpt", "value": "-204" } ]
[ { "from": "human", "value": "What is the second derivative of -h**4 + h**3 + 229*h**2 + 2745*h + 2?" }, { "from": "gpt", "value": "-12*h**2 + 6*h + 458" } ]
[ { "from": "human", "value": "Is 29407 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the nearest to 0.13 in -2, 0.1, -3, 3/4?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "What is the value of ((-38)/38)/((-2)/(-2))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -2*h - 2*h = -20. Suppose -2*r - j = -32, -h*r + j + j + 71 = 0. Solve 0 = -5*d + r for d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the closest to 3/2 in -2, 0.3, -25, -15/2?" }, { "from": "gpt", "value": "0.3" } ]
[ { "from": "human", "value": "What is the fourth biggest value in -1/3, 0.2, 2, 1072?" }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "-17 (base 14) to base 12" }, { "from": "gpt", "value": "-19" } ]
[ { "from": "human", "value": "What is the next term in -137, -275, -413, -551, -689?" }, { "from": "gpt", "value": "-827" } ]
[ { "from": "human", "value": "What is the common denominator of -103/1794 and 155/234?" }, { "from": "gpt", "value": "5382" } ]
[ { "from": "human", "value": "Solve 34*i + 290 = 494 for i." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is (-13)/(-4) - (-8)/(-2)?" }, { "from": "gpt", "value": "-3/4" } ]
[ { "from": "human", "value": "Let i = -237 + 2131/9. Let f = -19/184 - 1/46. Let q = -3 + -1. Which is the biggest value? (a) i (b) f (c) q" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Round 9444.4 to the nearest one thousand." }, { "from": "gpt", "value": "9000.0" } ]
[ { "from": "human", "value": "What is 63514 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 0 = -0*h - h + 30. Suppose 5*k - h = 10. Calculate the remainder when k is divided by 4." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 13*h - 52 = 13 for h." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is 5 + 1 + -11 + 7 + -1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let r(s) be the third derivative of -3*s**8/448 - s**7/28 - 3*s**6/40 - 3*s**5/40 - s**4/32 + 4*s**2. Factor r(z)." }, { "from": "gpt", "value": "-3*z*(z + 1)**3*(3*z + 1)/4" } ]
[ { "from": "human", "value": "Solve 16 = -2*q + 4*d, -12*d = -10*d - 4 for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Evaluate (1736/4340)/((-2)/80)." }, { "from": "gpt", "value": "-16" } ]
[ { "from": "human", "value": "Find the first derivative of -j**2*p**4 - j**2 + 23*j*p**4 + 100*j + 29*p wrt p." }, { "from": "gpt", "value": "-4*j**2*p**3 + 92*j*p**3 + 29" } ]
[ { "from": "human", "value": "In base 7, what is 1250 - 5?" }, { "from": "gpt", "value": "1242" } ]
[ { "from": "human", "value": "Let x = -5 - -7. Suppose 5*v - x - 18 = -n, 4*n = -4*v + 16. Solve 4*a + 17 = -4*h + 3*a, 2*h + 2*a + 16 = n for h." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 702 minutes before 1:39 PM?" }, { "from": "gpt", "value": "1:57 AM" } ]
[ { "from": "human", "value": "Let c = 54 + -33. Let t = 7 + -3. Solve -m - t*m + c = -z, z + 5 = m for z." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let v = 41 + -41.2. Which is the second biggest value? (a) 5 (b) 2/15 (c) 0.5 (d) v" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Evaluate 3/((-9)/(-6))*(-2)/(-42)." }, { "from": "gpt", "value": "2/21" } ]