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math

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[ { "from": "human", "value": "Let j(y) = 11 - 3 - 12*y + 20*y. Let n(o) = o + 1. Suppose 0*t = -5*t - 30. Let k(s) = t*n(s) + j(s). Differentiate k(i) with respect to i." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What comes next: 47, 92, 167, 272, 407, 572, 767?" }, { "from": "gpt", "value": "992" } ]
[ { "from": "human", "value": "Let p = -0.6 - -0.2. Let i = -130 - -136.9. Let g = i + -7. Sort p, g, 5 in ascending order." }, { "from": "gpt", "value": "p, g, 5" } ]
[ { "from": "human", "value": "Calculate -572.5073 - 17273." }, { "from": "gpt", "value": "-17845.5073" } ]
[ { "from": "human", "value": "Is 4 a factor of 1153?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let u = -108 - -219. Let x = u - 553/5. Let v(k) = -2*k - 1. Let b be v(1). Put b, -0.5, x in descending order." }, { "from": "gpt", "value": "x, -0.5, b" } ]
[ { "from": "human", "value": "Let f = -987/2 - -503. Let u = 9 - f. Let z = 0 + 0.5. Which is the third smallest value? (a) 3 (b) u (c) z" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Divide 2 by -182." }, { "from": "gpt", "value": "-1/91" } ]
[ { "from": "human", "value": "What is the second derivative of 15512*b**4*x + 63*b*x + 72*x wrt b?" }, { "from": "gpt", "value": "186144*b**2*x" } ]
[ { "from": "human", "value": "Collect the terms in -126*m**3 - 11*m**3 + 5*m**3." }, { "from": "gpt", "value": "-132*m**3" } ]
[ { "from": "human", "value": "Calculate -3411 divided by -1137." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let s(z) = 9*z**2 - 1. Suppose 0 = 4*k + 3*c - 16 - 1, 9 = -3*k + 5*c. Suppose k = g - 3*g. Determine s(g)." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Determine s, given that -2*s**3/5 - 4*s**2 - 34*s/5 - 16/5 = 0." }, { "from": "gpt", "value": "-8, -1" } ]
[ { "from": "human", "value": "Solve -53*p - 122 = 8*p for p." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is (471/(-9))/((-1)/6) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 5 a factor of ((-63)/(-7))/((-4)/((-552)/9))?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the common denominator of -119/144 and -99/64." }, { "from": "gpt", "value": "576" } ]
[ { "from": "human", "value": "Put -5, 2/5, 2/7, 495881.8 in decreasing order." }, { "from": "gpt", "value": "495881.8, 2/5, 2/7, -5" } ]
[ { "from": "human", "value": "What is 3/50 of a kilogram in grams?" }, { "from": "gpt", "value": "60" } ]
[ { "from": "human", "value": "Let q = -0.69 - -0.99. Which is smaller: q or -6?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Simplify (0 + sqrt(605) + 1)**2." }, { "from": "gpt", "value": "22*sqrt(5) + 606" } ]
[ { "from": "human", "value": "How many nanograms are there in one fifth of a microgram?" }, { "from": "gpt", "value": "200" } ]
[ { "from": "human", "value": "5 + -5 + -16 + 17" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 89191 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let w = -16.3 - -16. Which is the third biggest value? (a) 1 (b) w (c) 1/2 (d) -2/5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 327 and 9701." }, { "from": "gpt", "value": "109" } ]
[ { "from": "human", "value": "What is the product of -704 and 530?" }, { "from": "gpt", "value": "-373120" } ]
[ { "from": "human", "value": "Let y(b) = 4*b + 9. Let o be -2*3/6 + -10. Let w(d) = -2*d - 5. Suppose -2*c - 14 = -2. What is c*y(z) + o*w(z)?" }, { "from": "gpt", "value": "1 - 2*z" } ]
[ { "from": "human", "value": "Let r(g) = 2*g**2 - 3*g - 1. Let s(z) = z**2. Determine -r(c) + 6*s(c)." }, { "from": "gpt", "value": "4*c**2 + 3*c + 1" } ]
[ { "from": "human", "value": "Express -10*n + 5*n - 10*n as q + i*n and give i." }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "What is -1 (base 10) in base 9?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the closest to -18 in 6/5, -5, -1/2, 2?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Sort -3/5, -468, 0.2." }, { "from": "gpt", "value": "-468, -3/5, 0.2" } ]
[ { "from": "human", "value": "What is the closest to 1/4 in -5, -1, 2/3, -0.3?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "What comes next: 3605, 7212, 10819, 14426, 18033?" }, { "from": "gpt", "value": "21640" } ]
[ { "from": "human", "value": "Let g = 610177/668865 - -117/2623. Let w = g + -14/17. Which is the smallest value? (a) w (b) 2/19 (c) 5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve d = -2*j - 5, j - 4*d + 7 = -18 for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose -3*l + 4*l + 7 = 4*s, 5*s = -10. Let h be (-2)/l + (-86)/(-30). Find a, given that 3/2 + 9/4*a + 3/4*a**5 - h*a**3 - 3/2*a**2 + 0*a**4 = 0." }, { "from": "gpt", "value": "-1, 1, 2" } ]
[ { "from": "human", "value": "Solve 18 = -12*i + 6*i for i." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the u'th term of 68, 63, 44, 5, -60, -157, -292?" }, { "from": "gpt", "value": "-u**3 - u**2 + 5*u + 65" } ]
[ { "from": "human", "value": "Solve -5*t - 6*h = -8*h + 14, 9*t = -4*h - 48 for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let b be (-66)/(-44)*3/(18/20). Suppose -2 = n + 2*f, -b*n - 2 - 3 = 5*f. Let y be (-2130)/825 + ((-4)/(-10) - n). Which is bigger: -1 or y?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Is 9140603 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor -6*j**3 + 11*j**2 - 4*j - 1." }, { "from": "gpt", "value": "-(j - 1)**2*(6*j + 1)" } ]
[ { "from": "human", "value": "Determine p so that 1/6*p**2 + 0*p - 1/6 = 0." }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "100 (base 3) to base 10" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Which is the nearest to -0.3? (a) -1/5 (b) -5 (c) -3/7 (d) -4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Put -1/3, 0, 38 in decreasing order." }, { "from": "gpt", "value": "38, 0, -1/3" } ]
[ { "from": "human", "value": "Calculate the common denominator of 48/167573 and 45/51113." }, { "from": "gpt", "value": "13238267" } ]
[ { "from": "human", "value": "Let a be (10/(-4))/((-7)/14). Suppose -2*v - 2*v - a*c = -204, -4*v = 4*c - 200. Is 1*(1 + v/1) a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let v(b) = -b**2 + 3*b. Let q be v(3). Is ((-93)/6 + q)*-2 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Put 0.3, -3/1520, -1, -135 in increasing order." }, { "from": "gpt", "value": "-135, -1, -3/1520, 0.3" } ]
[ { "from": "human", "value": "What is next in -222, -446, -670?" }, { "from": "gpt", "value": "-894" } ]
[ { "from": "human", "value": "Calculate the remainder when 63 is divided by 17." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Suppose -6*d + 5*d - 3 = 0. What is the closest to d in -3/7, -5, 3?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 3*z - 20 - 1 = 0. Does 6 divide z?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 2*i + 3*y = 5*i - 6, y = 5*i + 6 for i." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -86*n + 4*h = -84*n, -10 = -5*h for n." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve 0 = -5*t - 5*y - 10, 72 = 5*y + 82 for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 0 = h + 2*u - 11, -h = -2*u + 2 + 3. Suppose 0 = 2*q - 1 + 5. Calculate the common denominator of -69/22 and ((-188)/(-72))/(q/h)." }, { "from": "gpt", "value": "132" } ]
[ { "from": "human", "value": "Add 438 and -406." }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Simplify 0 + sqrt(1331) + 0." }, { "from": "gpt", "value": "11*sqrt(11)" } ]
[ { "from": "human", "value": "Suppose -3*b = -8*b. Let p = 3 + b. Which is smaller: p or 2?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "How many minutes are there between 10:01 AM and 11:00 AM?" }, { "from": "gpt", "value": "59" } ]
[ { "from": "human", "value": "Is 19 a factor of 3804?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -3*b = -4*o + 35, 4*o + 3*b + 0*b = 29. Suppose 2*s + 5*t - 65 = 0, 0 = 5*s - 3*t + 29 - 176. Calculate the remainder when s is divided by o." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose -a = -t - t - 3, a = -5*t - 18. Let j be 1 - (5 + 1) - a. Let z be (5/(-2) - 0)*j. Solve -x + z*w + 16 = -5*x, 0 = 2*x + 4*w + 8 for x." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let m be 2 - (-4)/(-28)*10. Find t, given that -2/7*t**2 - m + 6/7*t = 0." }, { "from": "gpt", "value": "1, 2" } ]
[ { "from": "human", "value": "Simplify (4 + 5 + -6*sqrt(19)*1)**2." }, { "from": "gpt", "value": "765 - 108*sqrt(19)" } ]
[ { "from": "human", "value": "What is 216 minus -75989.89287?" }, { "from": "gpt", "value": "76205.89287" } ]
[ { "from": "human", "value": "Let 4*h**5 - 96*h**4 + 644*h**3 - 584*h**2 - 2640*h + 3872 = 0. Calculate h." }, { "from": "gpt", "value": "-2, 2, 11" } ]
[ { "from": "human", "value": "Let y be (2 - (-11 + 7)) + 2. Let f(a) = 64*a**2 - a - 1. Let u be f(-1). Calculate the greatest common factor of y and u." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose -10*f = -5*f - 80. Calculate the highest common divisor of f and 48." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Suppose 4*y + 176 = -32. Let d = -36 - y. Calculate the smallest common multiple of 2 and d." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Solve 5*c + 4*z = 6*c + 4, -5*c - 4*z + 28 = 0 for c." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 22707 and 27." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Suppose -4*w**5 - 8*w**4 + 52*w**3 + 152*w**2 + 96*w = 0. What is w?" }, { "from": "gpt", "value": "-3, -2, -1, 0, 4" } ]
[ { "from": "human", "value": "Evaluate ((-2)/4)/((420/(-112))/((-1)/(-2)))." }, { "from": "gpt", "value": "1/15" } ]
[ { "from": "human", "value": "Suppose 91 + 19 = 5*r. Let g(v) = -v**2 + 10*v - 6. Let p be g(9). Suppose -4*h = j - 131, -h - p*j = 9 - 39. Calculate the highest common divisor of r and h." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "In base 8, what is 424 - 6?" }, { "from": "gpt", "value": "416" } ]
[ { "from": "human", "value": "Work out 108588 + -0.5." }, { "from": "gpt", "value": "108587.5" } ]
[ { "from": "human", "value": "Solve -135*x = -151*x + 48 for x." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let v be (-10)/(-6) - 5/(-15). Solve 0 = 2*y + 2*c - 3*c + 5, -11 = v*y + c for y." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Does 23 divide 65977?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let g be 2 - -1 - (-26104)/(-9576). Let d = g + 2/171. Which is the third biggest value? (a) d (b) 1/9 (c) -4/7" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Simplify sqrt(65)/(1*sqrt(125))." }, { "from": "gpt", "value": "sqrt(13)/5" } ]
[ { "from": "human", "value": "(-7*8/(-28))/(-6)" }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "Let s = 12 - 12.1. Is s < -1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -a - 16 = -n + 5*n, -5*n - 20 = 4*a. Put 2, n, 0.05 in ascending order." }, { "from": "gpt", "value": "n, 0.05, 2" } ]
[ { "from": "human", "value": "Solve 166*l + 4*n = 164*l + 4, -3*l - 5*n = -3 for l." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let l(d) = -d**2 - 13*d - 6. Let x be 24/2*(-2)/3. Let w(q) = -q**2 + 9*q - 2. Calculate the remainder when l(x) is divided by w(4)." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "What is the fourth smallest value in 1/4, -1, 6, 20?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "In base 6, what is 1 - 1533?" }, { "from": "gpt", "value": "-1532" } ]
[ { "from": "human", "value": "Let a(t) = 80*t - 59. Let n(l) = 19 - 27*l. Let u(y) = 6*a(y) + 17*n(y). What is the derivative of u(g) wrt g?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "In base 11, what is -82 + -5?" }, { "from": "gpt", "value": "-87" } ]
[ { "from": "human", "value": "Find the second derivative of 2*n**4 + 363*n**2 + 5356*n." }, { "from": "gpt", "value": "24*n**2 + 726" } ]
[ { "from": "human", "value": "Let o = -3.2 + 3.1. Sort -4/3, 1/10, o in increasing order." }, { "from": "gpt", "value": "-4/3, o, 1/10" } ]
[ { "from": "human", "value": "What is the hundred thousands digit of 1780675?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let h(c) be the second derivative of c**5/20 - c**3/2 - c**2/2 + 4*c. Let f be h(-2). Sort -4, -1, f in increasing order." }, { "from": "gpt", "value": "-4, f, -1" } ]
[ { "from": "human", "value": "What is the tens digit of 2128?" }, { "from": "gpt", "value": "2" } ]