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Put -21.5, 0, 0.1, -3/7, -5 in decreasing order. 0.1, 0, -3/7, -5, -21.5 Sort -3, 29, 5, 525. -3, 5, 29, 525 Sort 264, -50, -4, 2. -50, -4, 2, 264 Sort 3129, -4, 5, 2 in ascending order. -4, 2, 5, 3129 Sort 1/10, -6.5, -1/3, 4/3, 2/5, -5 in decreasing order. 4/3, 2/5, 1/10, -1/3, -5, -6.5 Put 1, -3, -1062, -73 in increasing order. -1062, -73, -3, 1 Put -73, 0, -152, 3 in decreasing order. 3, 0, -73, -152 Sort -45, 0, 0.252 in decreasing order. 0.252, 0, -45 Sort 3/22, -18, 1/6, -0.15, 0, -1. -18, -1, -0.15, 0, 3/22, 1/6 Sort -2, -5, 965406 in ascending order. -5, -2, 965406 Put -7, -31, -36, 1 in descending order. 1, -7, -31, -36 Sort 9, 255, 5. 5, 9, 255 Sort 2, 183, -4, -6 in decreasing order. 183, 2, -4, -6 Put 0.1, 0.308, -1, 2/5, 1, 0.3 in descending order. 1, 2/5, 0.308, 0.3, 0.1, -1 Sort -1502, -3, 7, 2. -1502, -3, 2, 7 Sort 0.3, 17, -0.073201, -0.2 in decreasing order. 17, 0.3, -0.073201, -0.2 Sort 1, 11, 8, -4, 9. -4, 1, 8, 9, 11 Sort 108, 0.3, 94 in ascending order. 0.3, 94, 108 Sort -1, 3, -3, -5, 75 in ascending order. -5, -3, -1, 3, 75 Sort -2/9, -2, 0.45, -7, 26, -1 in increasing order. -7, -2, -1, -2/9, 0.45, 26 Sort 3, 70715, 0 in decreasing order. 70715, 3, 0 Sort 324, -4, 51. -4, 51, 324 Sort 28, 6, 57, -3, -1, 2 in increasing order. -3, -1, 2, 6, 28, 57 Sort 2, -4/3, 1/5, -3/5, 1.5 in decreasing order. 2, 1.5, 1/5, -3/5, -4/3 Put 4/5, -329.73, 9 in descending order. 9, 4/5, -329.73 Sort 0, -4, 4021 in decreasing order. 4021, 0, -4 Sort -6, 134, -1, -3, 0. -6, -3, -1, 0, 134 Put 2, 4, -5602 in ascending order. -5602, 2, 4 Put 2, 376, 1407 in ascending order. 2, 376, 1407 Put -2, -1, -14, 4, 174 in increasing order. -14, -2, -1, 4, 174 Put 8/3, 33/8, -0.113 in ascending order. -0.113, 8/3, 33/8 Put -1, 0.4, 1, -17605 in decreasing order. 1, 0.4, -1, -17605 Sort -1726, -3, 1, 22 in decreasing order. 22, 1, -3, -1726 Sort -58, 1/2, -3, 4, -1.7, 30 in decreasing order. 30, 4, 1/2, -1.7, -3, -58 Sort 2/3, -30, 0.2, 0.4, -5. -30, -5, 0.2, 0.4, 2/3 Put 352, 2, 5, 4, -3 in decreasing order. 352, 5, 4, 2, -3 Sort 3.5, -0.3, 15/7, 0, 1, -2/3. -2/3, -0.3, 0, 1, 15/7, 3.5 Put 4, -7, 8, -4 in decreasing order. 8, 4, -4, -7 Put 906, 3, 11, -5, 1 in descending order. 906, 11, 3, 1, -5 Put -3, 5, 333 in ascending order. -3, 5, 333 Sort -0.2, 1, 4751, 4 in ascending order. -0.2, 1, 4, 4751 Sort 0, 321, 57 in decreasing order. 321, 57, 0 Sort 0.15, 0.4, -0.2, -0.1, 1, -0.7 in decreasing order. 1, 0.4, 0.15, -0.1, -0.2, -0.7 Put 0.4, -2/15, 2, -0.5, 17 in increasing order. -0.5, -2/15, 0.4, 2, 17 Put -2/9, -5, 0, 3, 8/5 in descending order. 3, 8/5, 0, -2/9, -5 Put -0.5, -1, 3, 6.28, -3 in descending order. 6.28, 3, -0.5, -1, -3 Sort 0.3, -0.1, 346, 0.7 in increasing order. -0.1, 0.3, 0.7, 346 Sort -15710, 0, -20 in decreasing order. 0, -20, -15710 Sort -4, 5, 3, -459, 1, 2 in descending order. 5, 3, 2, 1, -4, -459 Sort 5, 8, -5, -20, -3, -1. -20, -5, -3, -1, 5, 8 Sort 0, -141, 1053 in descending order. 1053, 0, -141 Put -0.5, -0.4, -4/7, -1.7, -123 in descending order. -0.4, -0.5, -4/7, -1.7, -123 Sort 5, -17, -3, -5, -6036, 0 in descending order. 5, 0, -3, -5, -17, -6036 Put 4, -0.4, 7/15, -1/4, -1.6 in increasing order. -1.6, -0.4, -1/4, 7/15, 4 Put 4, 5, -4, -22, 877 in ascending order. -22, -4, 4, 5, 877 Sort -1, -6, -3, -55, 5 in decreasing order. 5, -1, -3, -6, -55 Sort -2, -11, 3, -1/21, -5 in descending order. 3, -1/21, -2, -5, -11 Put -3, -0.1, -0.3, 6, 38 in increasing order. -3, -0.3, -0.1, 6, 38 Sort 5, 4/7, -7, 108/11, 0.3 in ascending order. -7, 0.3, 4/7, 5, 108/11 Sort 4, 2, -4, -7828 in descending order. 4, 2, -4, -7828 Put -7, -3, -16, 4, -17, -4 in descending order. 4, -3, -4, -7, -16, -17 Sort 10, 3, 0, 660, -1 in decreasing order. 660, 10, 3, 0, -1 Sort -3178.9, -6, -11 in decreasing order. -6, -11, -3178.9 Sort 1, -18, -6511 in decreasing order. 1, -18, -6511 Put -164, -2, 145, -5 in descending order. 145, -2, -5, -164 Put 5, -0.3, -26.96, 0.5, 0.2 in ascending order. -26.96, -0.3, 0.2, 0.5, 5 Put 16118, 1, -9 in ascending order. -9, 1, 16118 Sort -6, -8, 12, 15, -4. -8, -6, -4, 12, 15 Put 2, -14.93, -3, -2/3 in increasing order. -14.93, -3, -2/3, 2 Put 66, 3, -18250 in decreasing order. 66, 3, -18250 Put 3, 6.1, 2/5, 0.01, 0.9 in decreasing order. 6.1, 3, 0.9, 2/5, 0.01 Put -4, 1, 9, -37 in increasing order. -37, -4, 1, 9 Put 1, 279, -1, -7, -47 in descending order. 279, 1, -1, -7, -47 Put -2, -5, 1, -387, 3 in ascending order. -387, -5, -2, 1, 3 Put 2, 4, 15, 21 in descending order. 21, 15, 4, 2 Sort -0.06, -12, 4, -1.47 in decreasing order. 4, -0.06, -1.47, -12 Sort -2.133, -3, -0.05 in descending order. -0.05, -2.133, -3 Sort 12, 7463, 4, -3, 2, 1 in descending order. 7463, 12, 4, 2, 1, -3 Sort -8, 2, -1711 in descending order. 2, -8, -1711 Sort -11, -1/14, 0.278 in decreasing order. 0.278, -1/14, -11 Sort 144, 9, -1, -2, 0, 5. -2, -1, 0, 5, 9, 144 Put 5, 1, -1, 15, 141 in decreasing order. 141, 15, 5, 1, -1 Put -4, 7, 282, 1 in ascending order. -4, 1, 7, 282 Put -313, 1/5, -1/5, -4, 49 in decreasing order. 49, 1/5, -1/5, -4, -313 Put 5, -6, -1, 86, 4 in ascending order. -6, -1, 4, 5, 86 Put 5/3, 9, 4, -2/13, -2/17 in decreasing order. 9, 4, 5/3, -2/17, -2/13 Sort 935, -11, -5, 2, -3 in decreasing order. 935, 2, -3, -5, -11 Put 18016, -2, 2 in descending order. 18016, 2, -2 Sort 646, 1, 5, 30, -6 in increasing order. -6, 1, 5, 30, 646 Put 2, -58, -6, 183 in descending order. 183, 2, -6, -58 Sort -2, 8, 106, 2, -3, 54 in descending order. 106, 54, 8, 2, -2, -3 Sort 0, 28, 5, -36, -4, -67 in increasing order. -67, -36, -4, 0, 5, 28 Sort -4, -5, 30, -1, -13 in decreasing order. 30, -1, -4, -5, -13 Sort -0.1, 0, -0.008, -0.3, 218 in descending order. 218, 0, -0.008, -0.1, -0.3 Sort 2006, -8, -7 in decreasing order. 2006, -7, -8 Sort -104, 2/17, -0.127, -7/11 in increasing order. -104, -7/11, -0.127, 2/17 Sort 76, -3/19, -5, 2, 0.2 in ascending order. -5, -3/19, 0.2, 2, 76 Put -3, -3757, 3 in descending order. 3, -3, -3757 Sort -5, 2, 6, 459, -45 in descending order. 459, 6, 2, -5, -45 Put 3.66, -2/3, -3, 28, 5 in decreasing order. 28, 5, 3.66, -2/3, -3 Put -260, -483, 6 in descending order. 6, -260, -483 Sort 166/53, 4/7, 0.1, -4/5 in descending order. 166/53, 4/7, 0.1, -4/5 Sort 139, -0.1, -92, 1 in decreasing order. 139, 1, -0.1, -92 Put 3, 348, -4, -124 in descending order. 348, 3, -4, -124 Put -2/5, -26, 1/101, 3/4, 2/23 in ascending order. -26, -2/5, 1/101, 2/23, 3/4 Put -8, -6, 16, -3, 3, -1 in decreasing order. 16, 3, -1, -3, -6, -8 Put 4, -10, 5, 1, 39, -1 in ascending order. -10, -1, 1, 4, 5, 39 Put -5, -3322, 133 in ascending order. -3322, -5, 133 Put -7, 59, 3, -1, -5 in descending order. 59, 3, -1, -5, -7 Sort 0.03, 5323, -0.4, -0.1 in increasing order. -0.4, -0.1, 0.03, 5323 Sort 59, -4, 4, 0.05, 0.4. -4, 0.05, 0.4, 4, 59 Sort -5/11134, 3/2, -1/10. -1/10, -5/11134, 3/2 Put 1/2, -585, 16 in increasing order. -585, 1/2, 16 Sort 0, 1, 0.5, -833, -0.1, -1. -833, -1, -0.1, 0, 0.5, 1 Put -1/6, 10, 4, -3, -46, -2/7 in descending order. 10, 4, -1/6, -2/7, -3, -46 Sort 8, -57, 19 in decreasing order. 19, 8, -57 Sort 4137, -1, -3, -2. -3, -2, -1, 4137 Sort -1, 10, 4, -360, 2 in ascending order. -360, -1, 2, 4, 10 Sort 3, 0.11, -4/3, -0.2 in decreasing order. 3, 0.11, -0.2, -4/3 Sort 264, -12, 2, -4, 0 in increasing order. -12, -4, 0, 2, 264 Sort -19, 3, 7, 37, -1, -2 in descending order. 37, 7, 3, -1, -2, -19 Put 2/7, 1/3, -2/5, 5, -3/691 in decreasing order. 5, 1/3, 2/7, -3/691, -2/5 Sort -11, -1.9, -50, 1/5, -3, -0.3 in ascending order. -50, -11, -3, -1.9, -0.3, 1/5 Sort 0, 3923, 27. 0, 27, 3923 Sort -2, -1609272, 2 in descending order. 2, -2, -1609272 Sort 0.03, 1/227, 0.1 in decreasing order. 0.1, 0.03, 1/227 Put 462, 21/103, 0, -0.5 in decreasing order. 462, 21/103, 0, -0.5 Sort 121, -26.9, 4, -1, -0.2, 2 in descending order. 121, 4, 2, -0.2, -1, -26.9 Put -2/9, 1/7, 0.07, 6, -26 in decreasing order. 6, 1/7, 0.07, -2/9, -26 Sort 774, -2, -4, -5, 4, 3 in descending order. 774, 4, 3, -2, -4, -5 Sort 5, 8, -191, 4, -5, 7 in ascending order. -191, -5, 4, 5, 7, 8 Sort 13, 98, 1 in descending order. 98, 13, 1 Put -0.612, 5, -2/7 in ascending order. -0.612, -2/7, 5 Sort -1, 3, -4, 10, -3, 113 in decreasing order. 113,
{ "pile_set_name": "DM Mathematics" }
2*r**3/3 + 3*r**2 + 40*r + 1. Give p(i). -6 Let y(l) = l**2 + 5*l + 2. Suppose 0 = 2*w - 20*w + 432. Suppose -d = -1, 0*n + 4*d - w = 5*n. Calculate y(n). -2 Suppose 5*v - v + 3*w - 34 = 0, -3*v = 5*w - 31. Let q = 13 - v. Let s(u) be the second derivative of u**5/20 - u**4/2 - 2*u**2 + 2*u. Calculate s(q). -4 Suppose -9*u = -8*u - 36. Let o(m) = -72*m - 1 + 37*m + u*m. Determine o(-6). -7 Let k(h) = 2*h**2 + 4*h - 5. Let c(o) = -o**2 - 1. Let s(n) = -n**2 - 3. Let u(m) = -2*c(m) + s(m). Let a(w) = k(w) - 4*u(w). Determine a(3). -7 Let p(c) = 4*c - 22. Let o = -2284 + 2291. Give p(o). 6 Let u(v) = v**2 + 5*v - 2. Let r(p) = -p + 2 - 1 - 1. Let x(j) = -6*r(j) - u(j). Calculate x(0). 2 Let h(c) be the second derivative of c**4/6 + 3*c**3 + c**2 + 12*c. Let l be h(-9). Let y(m) be the second derivative of m**4/12 + m**2/2 + m. Calculate y(l). 5 Let a(d) be the first derivative of 4*d**3 + d**2/2 - d - 130. What is a(-2)? 45 Suppose 0 = 3*j - y - 19, y = 2*j - 2 - 12. Suppose -j*k = -10*k + 10. Suppose -10 = -0*h + k*h. Let d(w) = w - 1. Give d(h). -6 Let r be (-2 - 1) + -2 - 1. Let w be (2/r)/((-2)/24). Let t(a) = 1 + 8*a**2 + 0 - a**3 - w*a - 2*a**2. Calculate t(5). 6 Let b(k) be the third derivative of 0*k**3 - 4*k**2 + 7/120*k**5 + 1/720*k**6 - 3/8*k**4 + 0*k + 0. Let f(m) be the second derivative of b(m). Give f(5). 12 Let y be (-25)/(-15) + 2 - (-2)/(-3). Let g(t) = 32*t**2 - t**y - 4 + 6 - 27*t**2 + 0*t**3 + 6*t. Calculate g(6). 2 Let y(k) be the third derivative of -k**6/120 - k**5/12 + k**4/3 + k**3/3 + 2*k**2 + 325. What is y(-6)? -10 Let i be 15/4 + 6/(-8). Suppose 7*x - i*x = -20. Let z(r) = r + 1. What is z(x)? -4 Let w(n) = -2*n. Let s(b) = -5*b + 1. Let d(x) = 3*s(x) - 7*w(x). Suppose 0 = -10*r - 5*r + 45. What is d(r)? 0 Let o be ((-22)/8)/((-1)/(-8)). Let w = o - -23. Let l be w - (0 - (-3 - -3)). Let d(n) = -4*n**2. Give d(l). -4 Let m(w) = -2*w - 8. Suppose 47 - 22 = 5*k. Suppose s - 28 = k*s. What is m(s)? 6 Let m(a) = a**3 - 6*a**2 - 18*a + 20. Let f = 476 - 468. Determine m(f). 4 Let l(x) be the third derivative of 1/60*x**5 + 18*x**2 - 5/24*x**4 + 0*x + 0 + 2/3*x**3. Give l(4). 0 Let w(q) = -q + 8. Let u(m) = -1 - 5 + 12 - m. Let j(n) = -4*u(n) + 3*w(n). What is j(-10)? -10 Let n(w) = 2*w - 5. Suppose 0 = 2*g - 13 + 1. Give n(g). 7 Let k(b) = -b**2 + 4*b. Let v(q) = -7*q**3 + q**2 - q. Let a be v(-1). Let c = a - 4. Determine k(c). -5 Suppose 5*k = 10*k - 15. Suppose 5*y = -2*a - 11, -8 = k*a + y - 2*y. Let r(w) = 3*w + 3*w + 1 - 2*w - 30*w**2 + 32*w**2. Determine r(a). 7 Let y be 1/((3 + 0)/15). Let g(d) = 0*d - d - 34*d**2 + 36*d**2 - y*d**3. Suppose -4*w - 1 = -5. Give g(w). -4 Let t(k) = 3*k - 2308 + 4594 - 2296. Determine t(4). 2 Suppose -2*o = 4*z - 22, 4*z + 8 - 40 = -4*o. Let h(m) = 0*m + 3*m - 1 - o*m + 3*m. What is h(-6)? -7 Suppose -2*q - o - 28 = -7*q, -2*q + 25 = -5*o. Let n(i) = i**3 + i. Let y(f) = 4*f**3 - 6*f**2 + 4*f + 3. Let w(l) = q*n(l) - y(l). Calculate w(-6). -9 Let p(b) be the second derivative of b**3/6 + b**2/2 + b. Let r(h) = -h**3 + 5*h**2 - 2*h + 4. Let w(l) = -2*p(l) + r(l). Let y = 1381 - 1377. Determine w(y). 2 Let d(s) = s**2 - s. Let n(p) = p. Let l(h) = -2*d(h) - 2*n(h). Let o be l(-1). Let g(f) = 2*f**2 - f. Calculate g(o). 10 Let a = 5 - 2. Let m be (-2 - -600)/1 + (-26)/(-13). Let q(x) = -m*x + 4 - x**3 + x**2 + 600*x. Determine q(a). -14 Suppose 38*v = 34*v + b - 40, 20 = -5*b. Let w(j) = -j**2 - 14*j - 8. Calculate w(v). 25 Let r = 0 - 0. Suppose -3*u = -r*u + 3. Let m(k) = 1 + 31*k + 23*k - 77*k + 26*k. Determine m(u). -2 Let q(l) = 6*l**2 - 13. Let u(o) = 5*o**2 - 11. Let x(s) = 4*q(s) - 5*u(s). Let f be (-1)/(-2) - (-10)/4. Calculate x(f). -6 Suppose 0*u = 2*o + 4*u - 26, 3*u = -2*o + 22. Let h(l) = o - 2*l - 4 + 3. Suppose -20 = -b - 4*f - 1, 4*b - 3*f = 0. Give h(b). -2 Let v(r) = -13*r**2 + 21*r. Let y(k) = 7*k**2 - 11*k. Let p(i) = -6*v(i) - 11*y(i). Suppose 556*g = 511*g + 270. What is p(g)? 6 Let k(h) = -1475*h + 2941*h - 1472*h + h**2. Determine k(5). -5 Let b(i) = 4*i**2 + 0*i - i**2 - i**3 + 4 - 3*i. Let q = 25 + -22. Suppose q*t = t + 3*c - 9, -3*t = -c - 4. What is b(t)? -5 Let c(n) = -142*n - 703. Let d be c(-5). Let a(f) = -3*f + 5 - 5. Calculate a(d). -21 Let p(m) = -5*m - 5*m**2 - 47*m**3 - 61*m**3 + 107*m**3. Let w(j) = -j**3 - 7*j**2 + 9*j + 4. Let i = -20 - -12. Let u be w(i). Determine p(u). 4 Let a(j) = j**2 - 1. Let t(s) = -3*s. Let q(l) = -a(l) - 2*t(l). Calculate q(2). 9 Let k(u) = -3*u**2 - 5*u - 1. Let b(j) = 5*j**2 + 6*j + 1. Let c(v) = -2*b(v) - 3*k(v). Determine c(7). -27 Let z be (-19 - (-99)/11) + 4. Let q(k) = k**3 + 5*k**2 - k + 11. Give q(z). -19 Let r be (-6)/18*(-30)/(-2). Let u be (-3 - 0) + (-6)/(-3). Let p = u + r. Let o(f) = -f + 2. Give o(p). 8 Let o(u) be the first derivative of -u**4/4 + 2*u + 6. Let k be 4 - 0/1 - 2. Suppose 2*a + k*z = -17 + 3, -z - 5 = 0. Determine o(a). 10 Let i(f) = f**3 - 6*f**2 + 3*f + 6. Suppose 0*l = 4*w - 2*l - 12, 4*w + 5*l - 40 = 0. Determine i(w). -4 Let z(p) = 2*p + 2. Let h be 14/28 - 26/4. Let o be h*1/2 + 3. Let r be z(o). Let x(d) = 4*d**2 - 3*d. Give x(r). 10 Let f(d) be the first derivative of d**5/20 + d**4/3 + d**3/3 - 2*d**2 - 13*d + 3. Let s(h) be the first derivative of f(h). Calculate s(-4). -12 Let j(c) = 2*c - 5. Suppose -2*b + 2 = 0, -x - 4*b - 7 = -5*b. What is j(x)? -17 Let s(g) be the first derivative of 4*g**2 - 7*g - 41. Let w(l) = 17*l - 15. Let d(o) = 13*s(o) - 6*w(o). Give d(5). 9 Let o be 1 + 10/(0 + 5). Let l(c) = 1 + 7*c**3 + 0 + 2*c**2 - 14*c**3 + 6*c**3. Calculate l(o). -8 Let c(l) = l**3 + 3*l**2 + l + 5. Let a = 161 - 166. Give c(a). -50 Let h(r) = 5*r + 1. Let a(j) be the third derivative of 7/12*j**4 + 0 + 0*j + 2*j**2 + 1/3*j**3. Let d(o) = -6*a(o) + 17*h(o). Give d(-6). -1 Let q(b) = b**3 - b + 29. Suppose -31*r - 6*r = -17*r. Give q(r). 29 Let l(z) be the third derivative of z**5/60 - z**4/12 - 2*z**3 + 358*z**2. Calculate l(5). 3 Let x(a) = -a. Let r(i) = -15*i + 2. Let y(q) = -r(q) + 6*x(q). Let z(h) = 11*h - 1. Let u(p) = -5*y(p) + 4*z(p). Determine u(0). 6 Suppose 57*q + 56 = 64*q. Let m(b) = -b**3 + 9*b**2 - 9*b - 5. Give m(q). -13 Let g(b) = 9*b + 13. Let l = 1280 + -1282. What is g(l)? -5 Let v(h) = h**3 + h**2 - 2*h - 1. Suppose 3*m = -0*m - 24. Let n be (29/2)/((-4)/m). Let r = n + -27. Determine v(r). 7 Let n(r) be the third derivative of r**5/20 + r**4/8 - r**3/3 + 18*r**2. Let b(d) = -7*d**2 - 7*d + 5. Let g(y) = 2*b(y) + 5*n(y). What is g(1)? 2 Let g(o) = -2*o**2 - 11*o - 4. Let l = -1007 + 1003. Determine g(l). 8 Let c(h) = -h**3 + 7*h**2. Suppose 2*i - 25 = -3*p, -4*p - 5*i + 31 = -p. Give c(p). 0 Let x(d) = 4*d - 12. Let l be (1/1*-3)/(-1). Let y be x(l). Let r(f) = -f - 5. Determine r(y). -5 Suppose 50*a - 40*a - 40 = 0. Let r(h) = -h**3 + 6*h**2 - 7*h - 8. Give r(a). -4 Let v(r) = -30*r**3 - 2*r**2 + r + 1. Let o = 1689 + -1688. What is v(o)? -30 Let u(j) = -j**3 + 2*j - 280 + 7*j**2 - 277 + 540. Calculate u(7). -3 Let q be (-245)/(-77) - (-8)/(-44). Let l(w) = w - 4. What is l(q)? -1 Let i(n) = n - 12. Let b be 3*(6 + -13 + 11). Calculate i(b). 0 Let m(o) be the first derivative of -o**2/2 - 127. Determine m(1). -1 Let w(d) = -d**3 + 3*d**2 - 10*d + 6. Let u(b) = b**2 + b - 1. Let g(n) = 4*u(n) + w(n). Determine g(4). 26 Let n be (-6)/(-4)*(39/9 + -3). Let v(k) = -6*k**2 - 2*k + 1 - 4*k**2 + 8*k**2 - 5*k**n. Give v(1). -8 Let y(q) = 2*q - 4*q + 0*q + 3*q + 4. Suppose -9*s + 0 - 63 = 0. Determine y(s). -3 Let n(w) = 7*w + 0*w**2 - 16 + 7*w**2 + 2*w**2. Let c(g) = 5*g**2 + 3*g - 8. Let i(p) = -7*c(p) + 4*n(p). Determine i(-8). 0 Let h(g) = 2*g + 18. Let k be h(-9). Suppose -5*l - 2*i = -0*i + 7, k = 3*l + 3*i - 3. Let o(v) = v**3 + 3*v**2 + v + 1. Determine o(l). -2 Let k(t) = 98*t + 0 + 96*t - 2*t**2 - 195*t + t**3 - 1. Determine k(2). -3 Let p(m) = 2*m**2 - 2*m. Let l be p(2). Suppose l*u = 0, 5*g + 5*u = 3*g - 4. Let r(c) = c**3 - 2*c**2 - 3*c - 1. Determine r(g). -11 Let y(k) = k**3 + 2*k**2 - 14*k - 13*k**2 - 660 + 653. What is y(12)? -31 Let h(w) be the first derivative of w**3/3 + 5*w**2/2 - 8*w - 418. Determine h(-6). -2 Let s(u) = -14*u**3 - 2*u**2 + 1. Let f(w) be the first derivative of -w**3/3 + w**2/2 + 11*w - 5. Let i be f(4). Give s(i). 13
{ "pile_set_name": "DM Mathematics" }
, 4? -1/9 What is the closest to -10/13 in 0.1, -2, 2/19, -1? -1 What is the nearest to 0 in -5/2, -8, 0, 1/3? 0 What is the closest to -1 in -1.5, 2/9, -6, 6/5? -1.5 What is the nearest to 29 in -16, -0.5, 0.8, -4? 0.8 What is the nearest to 1 in 0, -3, -1, 53? 0 What is the nearest to 0 in 53, -5, 3, -4? 3 What is the closest to 10 in -2/3, 2/3, 0, -3? 2/3 What is the nearest to 1 in 0.1, -2, -37/2, 1/8? 1/8 Which is the closest to 0.1? (a) -1 (b) -14 (c) -22 a What is the closest to -0.1 in 0.2, -0.13, 5, -2? -0.13 Which is the nearest to -0.04? (a) 0.022 (b) -0.3 (c) 1 a Which is the nearest to -1? (a) 1/3 (b) 3 (c) 0.2 c What is the nearest to 0.2 in 1/2, -5/16, 1? 1/2 Which is the closest to 0? (a) -0.4 (b) -1/4 (c) 0.5 b Which is the nearest to 9? (a) 2/9 (b) 2/7 (c) 21 b Which is the closest to 3? (a) -227 (b) 0 (c) 0.3 c Which is the closest to -0.28? (a) -5/3 (b) -2/13 (c) 5 b Which is the closest to -1? (a) 2 (b) -1/4 (c) -21 b What is the closest to 0.4 in 0.2, 1/13, 5, -2/9? 0.2 What is the nearest to 0.03 in -84, 0, -1/4? 0 Which is the nearest to 0? (a) 7 (b) 1/20 (c) -4 (d) -0.5 b What is the closest to -1 in -3/2, -1/45, 2? -3/2 What is the closest to -1 in 79, -2/15, -2/5? -2/5 What is the closest to 1 in -0.1, 3.5, 5? -0.1 What is the closest to -0.1 in -2/15, 0.4, -3, 3? -2/15 What is the nearest to -1 in 0.2, 0.1, -7, -16? 0.1 Which is the nearest to 1? (a) 1/30 (b) 2 (c) 5 a What is the closest to 0.1 in 0.1, 1, 0.64, -0.4? 0.1 What is the closest to 10 in 4, -1, 3, 5? 5 What is the closest to 20 in -4, -1/2, 2/7, -0.3? 2/7 What is the nearest to -0.06 in 0.1, 11, 4, 2? 0.1 What is the nearest to 0 in 1, 0.3, 22/3? 0.3 What is the closest to -2/9 in 2/13, -1/5, 0.1? -1/5 Which is the closest to 42? (a) 4 (b) 0.2 (c) 1 a Which is the closest to -4? (a) -0.4 (b) 0.06 (c) 3 a Which is the closest to 6? (a) 2/31 (b) -2 (c) 0.2 c What is the closest to 0.2 in -2/3, -4, -16, 3/10? 3/10 Which is the nearest to -1? (a) 58 (b) -2/7 (c) -1 c What is the nearest to -290 in -5, -0.03, 2? -5 What is the nearest to -2/7 in -0.01, -6/11, -2? -6/11 What is the closest to 0.0298 in -2/11, 4, -0.5, 3? -2/11 What is the nearest to 0 in 1/23, -3, 2/5, -5? 1/23 Which is the nearest to 1/2? (a) 2/3 (b) 5 (c) 0.4 (d) -0.31 c What is the closest to -3/4 in 1/4, 0.02, -0.5? -0.5 What is the closest to -0.1 in -23, 0.38, 5/2? 0.38 What is the nearest to -0.2 in -0.1, 4, -3/13, 1/5? -3/13 Which is the nearest to 13? (a) 3/8 (b) 2 (c) 1 b Which is the closest to 0.2? (a) 5 (b) -2/5 (c) 0 (d) -4 c Which is the closest to -0.2? (a) 2/13 (b) -2 (c) -0.3 c What is the closest to 1 in 2/7, 3, -3, 2/13? 2/7 What is the nearest to -78 in -4/5, -2, 2? -2 Which is the closest to 0.2? (a) -3/5 (b) -0.095 (c) 0.4 c What is the nearest to -1 in -1/6, -0.1, 3, 5/3? -1/6 Which is the closest to -117? (a) 2 (b) -2/3 (c) -1/6 (d) 1 b Which is the nearest to 0? (a) -4/7 (b) 0.005 (c) -0.1 (d) -2 b Which is the nearest to -186? (a) -4 (b) -5/4 (c) -0.5 a What is the closest to -33 in 0.4, -0.5, -80/11? -80/11 What is the nearest to -15 in 3/5, 2/7, 5? 2/7 Which is the nearest to -4.9? (a) 9 (b) 0.5 (c) 2/11 c Which is the closest to -1/3? (a) -0.029 (b) -0.05 (c) -0.1 (d) 0.4 c What is the closest to -5/4 in 1, -0.2, 0? -0.2 Which is the nearest to 1/4? (a) 17 (b) 6 (c) -5/4 (d) 2 c Which is the closest to 2/5? (a) 1/2 (b) 4 (c) -4 (d) 2/9 a Which is the nearest to -3? (a) 2 (b) -0.1 (c) 4 b What is the closest to 0 in 4, 0.1, -3/5, -1? 0.1 What is the closest to -2/7 in -1/9, 212, 2? -1/9 What is the nearest to -0.1 in -4, -0.1, 1/3, 3? -0.1 Which is the closest to -1? (a) 4 (b) 1/770 (c) -0.4 (d) 0.5 c What is the nearest to 10 in -2/11, -2/15, -5, 0? 0 Which is the nearest to -10/11? (a) 0.5 (b) 4/5 (c) 2 a Which is the nearest to -1/6? (a) 2/11 (b) -0.5 (c) 14/11 b What is the closest to -0.2 in 5, 2, -1/3? -1/3 What is the closest to -1 in -0.5, -0.4, 198/7? -0.5 Which is the closest to 1/49? (a) -2.2 (b) -2/3 (c) -4 b What is the nearest to 0 in 6/7, -19/2, -1, 2? 6/7 Which is the nearest to 3? (a) 4 (b) -1/7 (c) 0 (d) 0.1 a Which is the nearest to 0.21? (a) 1 (b) 3/2 (c) -0.04 c Which is the nearest to 34? (a) -0.3 (b) -0.09 (c) 1 c Which is the nearest to 22/3? (a) -0.13 (b) 4/7 (c) -2/3 b What is the closest to 1/3 in 0.1, 1/5, -23? 1/5 Which is the nearest to 1? (a) -4 (b) 0 (c) 4 (d) -1/6 b Which is the closest to 2/3? (a) 2/5 (b) 0 (c) 1.3 (d) 1/9 a What is the nearest to 1/2 in 2/17, -0.1, 2, -0.3? 2/17 Which is the nearest to -1? (a) -5 (b) 0.1 (c) -457 (d) 1/2 b Which is the closest to -1? (a) -5 (b) 15 (c) 0 (d) 1/4 c Which is the closest to 0.4? (a) 0.2 (b) -0.3 (c) 0 (d) 1 a What is the closest to 0.2 in -0.022, -2, 4? -0.022 Which is the closest to -22? (a) 0 (b) -2/11 (c) -0.5 (d) 2/7 c What is the nearest to 0 in -8, -5, -3/2? -3/2 What is the nearest to 0.13 in 12/11, -0.5, -2/103? -2/103 Which is the closest to 2? (a) -4 (b) 0.5 (c) -0.3 b What is the nearest to -2/87 in -2/5, 0, 0.4? 0 Which is the closest to 0.05? (a) 0 (b) -3 (c) 4/3 a Which is the nearest to -1/2? (a) 579 (b) 0.4 (c) 5 (d) 1/6 d What is the closest to -0.1 in 2/9, -21, 0.3, -8? 2/9 What is the closest to 0.5 in -52, -5, -0.2, -4/3? -0.2 What is the nearest to -16 in -0.2, -0.04, 0.4, -0.1? -0.2 Which is the nearest to 2? (a) -2/3 (b) 4 (c) -1/3 b Which is the nearest to -1/2? (a) 0.4 (b) 1/4 (c) 3 b What is the nearest to -4 in 16, 1/5, -1, 1/7? -1 Which is the closest to 3/5? (a) -2 (b) -0.3 (c) 152 b What is the nearest to 0.04 in 3, -22, -4? 3 Which is the nearest to 2? (a) 11 (b) -79 (c) 0.1 c Which is the nearest to -0.06? (a) -7 (b) 1/9 (c) 0.3 b Which is the nearest to -7? (a) 5 (b) -0.4 (c) 0.5 b What is the nearest to 0.1 in 5/11, 14, 1? 5/11 What is the nearest to 4 in 4, -3, 0, 3? 4 Which is the nearest to -1/3? (a) -0.4 (b) 0 (c) -3/5 a What is the nearest to -1/2 in -3/8, -0.3, 5/14? -3/8 Which is the nearest to 1? (a) 9 (b) 0.13 (c) 0 b Which is the nearest to -372? (a) 1 (b) -1/7 (c) -4/5 c Which is the closest to 1? (a) 16 (b) -0.5 (c) 5/4 (d) 0.5 c Which is the nearest to -2/3? (a) 91 (b) -2/15 (c) -0.3 (d) -2/5 d Which is the closest to -1? (a) 2/5 (b) 44 (c) 7 a What is the closest to 66 in 5, -2/13, 1/2? 5 What is the closest to -3/7 in 1.2, -3.1, 1/2? 1/2 What is the closest to -3 in -0.048, 1/3, 1, -1/9? -1/9 Which is the nearest to -1? (a) -0.4 (b) 59 (c) 3 a What is the nearest to 0.081 in 37, -0.3, 1/3? 1/3 What is the nearest to -2/5 in -4, -3, -0.1, -4.6? -0.1 What is the closest to 46 in -2, -9, -4? -2 Which is the closest to 0? (a) 15 (b) -2.7 (c) 0 c Which is the nearest to -0.1? (a) 0.68 (b) -0.4 (c) 5 b Which is the closest to 1/2? (a) 2/7 (b) -5 (c) 64 (d) 1/4 a Which is the nearest to 0.1? (a) 23 (b) -0.2 (c) 1 b Which is the nearest to -1? (a) -0.4 (b) 5 (c) -2/9 (d) -1 d Which is the closest to 15? (a) 5 (b) 0.3 (c) 3 (d) 125 a What is the nearest to -1/2 in -4, 2/3, 2, -3/17? -3/17 Which is the closest to 5? (a) 1 (b) 1/2 (c) 60 a Which is the closest to 1? (a) 3/40 (b) -3 (c) -8 a Which is the closest to -5.9? (a) -4 (b) 0 (c) 5 (d) -0.4 a What is the nearest to 12 in -48, -2, -1/7? -1/7 Which is the nearest to 13/2? (a) -0.2 (b) 2/5 (c) -2 b What is the nearest to 2/3 in -3, 0.3, 77, 2/11? 0.3 What is the closest to -32 in -0.5, 1/7, -5? -5 What is the closest to -2/3 in 5/3, 1/6, 6, 52? 1/6 Which is the nearest to 5? (a) 3 (b) -0.2 (c) 0.5 (d) -165 a Which is the nearest to -0.1? (a) 34 (b) -0.1 (c) 0.3 b Which is the closest to -0.2023? (a) -2/7 (b) -2 (c) 5/4 a What is the nearest to 0 in 5, 2, 0, 3? 0 Which is the nearest to 0.1? (a) 4 (b) -1604 (c) -1 c Which is the nearest to -5/2? (a) -0.1 (b) 2/15 (c) 0.3 (d) -5 a What is the closest to 7 in -0.4, -5, -7.5, 2/9? 2/9 Which is the closest to -4? (a) -1.6 (b) 5 (c) 1 a What is the closest to 0 in 3, -71, 0.5, -0.2? -0.2 What is the nearest to 1 in 10, -0.4, -3? -0.4 What is the closest to 1 in -9, -2/5, -2/13, -1? -2/13 Which is the nea
{ "pile_set_name": "DM Mathematics" }
of x? 0 Let x be (-4 + 2)*(-1)/2. Let l be x/((-4)/324*-1). Let n = l + 73. What is the hundreds digit of n? 1 Let n(f) = 7*f - 57*f + 110 + 36*f. What is the tens digit of n(-26)? 7 Suppose -d + 4*d = p + 265, 2*d + 1018 = -4*p. Let y be 2/(-6) - p/48. Suppose -190 = -y*h + 2*q, -2*h + 0*q - 3*q = -57. What is the units digit of h? 6 Let w = 26497 + -9822. What is the hundreds digit of w? 6 Suppose 2*o - 55 = -3*o + k, 3*k = 5*o - 65. Suppose 441 = -w + o*w. Let u = -43 + w. What is the units digit of u? 6 Let z = -309 - -313. Suppose z*f = -0*f + 3932. What is the units digit of f? 3 Let g(j) = j**3 + 4*j - 2. Let b be g(1). Suppose 2139 - 690 = -b*d. Let n = -274 - d. What is the hundreds digit of n? 2 Suppose 13032 = -30*c + 36*c. Suppose -26*i + 38*i = c. What is the hundreds digit of i? 1 Suppose 43 + 5 = 4*m + 5*a, -2*m - a + 24 = 0. Let w(r) = -2*r**2 + 39*r + 28. What is the hundreds digit of w(m)? 2 Let q be ((-20)/60)/((-2)/18). Let l be 1/(4/60*q). Suppose s - 1 - 2 = 0, l*s + 61 = 4*k. What is the units digit of k? 9 Let o(w) = -473*w**3 + 9*w**2 - 7*w + 3. Let t(v) = -235*v**3 + 4*v**2 - 3*v + 1. Let n(c) = 2*o(c) - 5*t(c). What is the units digit of n(1)? 9 Let z = 1174 - 394. Let t = 1411 - z. What is the units digit of t? 1 Let k(i) = -i**2 + 2*i - 24. Let q be k(0). What is the hundreds digit of 3615/10*(-16)/q? 2 Suppose 4*i + 8040 = 6*i + 3*o, -2*o + 12070 = 3*i. What is the units digit of i? 6 Let c be 18/(-15) + 8/(-10) + 51. What is the tens digit of (-7)/(c/(-14)) + 396? 9 Suppose 2*l + 32435 = 4*u + 148817, 5*u + 116390 = 2*l. What is the thousands digit of l? 8 Let v = 83 + -79. Suppose 8*o + c - 24 = 3*o, -v*o = -4*c. Suppose o*j - w - 700 = 0, 3*j - w - 518 = -2*w. What is the hundreds digit of j? 1 Suppose -225*d = -4351653 + 56517 - 652389. What is the tens digit of d? 8 Suppose 59*v - 189315 = -38*v + 62*v. What is the units digit of v? 9 Suppose -p - 194 + 1515 = 0. Suppose 2*v - 290 - 230 = -5*w, -5*v - 2*w = -p. Suppose v = 8*z - 3*z. What is the tens digit of z? 5 Suppose 4*v + 881 + 10435 = 2*h, -5*v = 5*h - 28305. What is the tens digit of h? 6 Suppose -104858 - 676757 = -43*i + 108571. What is the units digit of i? 2 Let u = 98751 - 67663. What is the thousands digit of u? 1 Let q(t) = 394*t**2 + 60*t - 337. What is the hundreds digit of q(9)? 1 What is the thousands digit of (-30)/4*(-4)/15 + 22489*1? 2 Let t(o) = -44*o**3 - 9*o**2 - 14*o - 10. What is the tens digit of t(-5)? 3 Suppose 5*y = 5*a + 5, 4*a - 31 = -y - 10. Let q(j) = 43*j + 22. What is the units digit of q(a)? 4 Let t(s) = 209*s**3 - s**2 - 14*s + 148. What is the ten thousands digit of t(5)? 2 Suppose -14608076 = -510*t + 3464284. What is the ten thousands digit of t? 3 Let q = -2492 + 3924. What is the units digit of q? 2 Let j(x) = 9*x - 29. Let o be -15*18/30*-1. What is the units digit of j(o)? 2 Let w(k) = 3*k + 969. What is the tens digit of w(-23)? 0 Let d = 10965 - 2574. What is the units digit of d? 1 Let i(n) = 2*n**3 - 7*n**2 + 5*n + 6. Let c be i(2). Suppose 2*f - 2*a = 2*a + 2078, -5*f - c*a + 5139 = 0. What is the units digit of f? 1 Let g = -130 - -129. What is the tens digit of (g + 22/4)/(4/528)? 9 Suppose -354*h = -359*h + 980. Suppose -704 = -25*f + h. What is the tens digit of f? 3 Let z(n) = -249*n**2 + 6*n + 7. Let x be z(-1). Let r = 27 - x. What is the tens digit of r? 7 Let y(c) = 5*c - 3. Let j be y(0). Let f be (j*(-24)/27)/((-4)/(-6)). Suppose 0 = -5*p, f*p = 5*x - p - 835. What is the units digit of x? 7 Suppose -j - j - 1556 = -4*t, -1169 = -3*t + j. Let w = 754 - t. What is the hundreds digit of w? 3 Suppose -328 + 292 = -2*h. What is the units digit of (3 + 0 - (h - 19)) + 46? 0 Let t(p) = p**3 + 23*p**2 - 23*p + 9. Let d be t(-24). Let m be 2*(-1 - (-6)/(-3)). What is the units digit of m/d - (1 - (-723)/(-5))? 4 What is the hundreds digit of ((-39)/(-13) - 9/3) + 26761? 7 Suppose m + 8 = 3*k, k + 2*m + 13 = 11. Suppose k*z + 10*z - 1920 = 0. What is the tens digit of z? 6 Suppose -2*g + 36 = 22. Let t(q) = -92*q**3 - 4*q**2 + 3 + g*q - q + 99*q**3. What is the units digit of t(3)? 4 Suppose 7090 = z + z - 2*r, -2*r - 10634 = -3*z. What is the tens digit of z? 4 Let s = 39 + -36. Suppose -s*i = i - 156. Let m = 147 + i. What is the hundreds digit of m? 1 Let u be (-4)/(-14) + 45/(-35). Let f(h) = -2 - 169*h**2 + 2*h + 3 + 277*h**2. What is the units digit of f(u)? 7 Suppose -12*t + 62276 + 64809 = -7843. What is the tens digit of t? 4 Suppose 0 = 33*x - 517 - 1001. Suppose 1665 = -45*i + x*i. What is the thousands digit of i? 1 Let z(i) be the third derivative of -i**4/2 - 31*i**3 + 199*i**2. What is the hundreds digit of z(-28)? 1 Let a(h) = 83*h**2 - 137*h + 8. What is the hundreds digit of a(14)? 3 What is the thousands digit of 5/(-75) - 861828/(-495)? 1 Let o(j) = 6*j**2 - 224*j + 165. What is the tens digit of o(-32)? 7 Suppose 96*c + 12*c - 5559624 = 0. What is the tens digit of c? 7 Let w(x) = -4*x**2 + 22*x + 15. Let m be w(6). Suppose -96 = -7*c + 4*c. What is the units digit of (-120)/c*((2 - m) + -31)? 0 Let m = 720 + -720. Suppose -4*z = 4*a - 3180, -2*z - a + 1595 = -m*z. What is the hundreds digit of z? 8 Suppose -2*o - 5*d = -12482, 6255 = o + d - 2*d. What is the tens digit of o? 5 Let r(k) = k**2 + 4*k - 10. Let h be r(-6). Suppose 0 = -h*x + 7 + 11. Suppose -x*m + 14*m = 270. What is the tens digit of m? 5 Let p(n) = 71*n**2 - 3*n. Let j be p(1). Suppose 0 = -3*l + 5*l + j. Let w(h) = -h**2 - 38*h - 8. What is the units digit of w(l)? 8 What is the tens digit of 8/(-16)*((-535524)/(-11))/(-1)? 4 Let a be 1/((-4)/20)*132/(-10). Suppose -2*g - a = g - 3*v, 5*v = g + 38. What is the hundreds digit of (-10)/((-240)/g) + 1022/8? 1 Suppose -5*k + 492 = m, 2*m + 3*k = -3*m + 2504. Let a = m + -120. What is the tens digit of a? 8 Let v(i) = 6*i**2 + 52*i - 2. Let l(n) = n**2 - 1. Let a(x) = -8*l(x) + v(x). Let w be a(26). Let q(b) = 3*b**2 + 4*b - 48. What is the tens digit of q(w)? 8 Let o = 448 - -9643. What is the tens digit of o? 9 Let k(m) = 6*m + 64. Let u be k(-10). What is the tens digit of 224 + 4/u*-3? 2 Let u(o) = -o**2 + 17*o + 19. Let y be u(18). Let r be y/(((-13)/260)/((-2)/8)). Suppose 3 = 5*n - q - 32, 5*q - 65 = -r*n. What is the units digit of n? 8 Let v = 26222 - 9596. What is the tens digit of v? 2 Let y(z) = 52*z + 56. Let p(s) = 7*s**3 - s**2 - s + 1. Let a be p(1). What is the hundreds digit of y(a)? 3 Let b(s) = 68*s + 2. Let d(u) = -69*u - 2. Let z(f) = -5*b(f) - 6*d(f). What is the hundreds digit of z(8)? 5 Suppose -2*z - 3*x = -14, 2*z + 3*x - 24 = -z. Suppose -h - 2*w = 3*h, 30 = 5*h - 5*w. Suppose h*o = -3*y + 9, 5*y - 27 - z = 4*o. What is the units digit of y? 5 Let h(a) be the second derivative of -a**4/2 + a**3/2 + 3*a**2 + 45*a. Let l(r) be the first derivative of h(r). What is the units digit of l(-22)? 7 Suppose 150 = 16*p + 14*p. Suppose -15*y + 5092 = -11*y - 4*q, 10 = -p*q. What is the hundreds digit of y? 2 Let s(p) = -p**2 - 11*p + 12. Let i be s(-12). Let m be (6 - i)/((-21)/(-14)). Suppose 2*j + 2*a + a = 169, 5*j + m*a - 440 = 0. What is the units digit of j? 2 Let t = -3753 - -13977. What is the thousands digit of t? 0 Let d = 62402 + -28902. What is the ten thousands digit of d? 3 Let d(f) = -18*f - 9. Let s(a) = 36*a + 18. Let z(i) = 5*d(i) + 3*s(i). Suppose 0 = -3162*w + 3156*w + 18. What is the tens digit of z(w)? 6 Let l(y) = -16025*y - 10171. What is the units digit of l(-4)? 9 Let v(g) = -4*g**2 + 273*g - 42. What is the units digit of v(57)? 3 Suppose 4*f = 16, 2*f = -2*o + 15 + 3. Suppose -1155 - 30 = -o*l. What is the hundreds digit of l? 2 What is the hundreds digit of 125331/12 - (10/60)/((-2)/(-3))? 4 Let w = 29788 + -26871. What is the units digit of w? 7 Let k(p) = 2*p**3 + 111*p**2 + 135*p + 9. What is the ten thousands digit of k(-51)? 1 Suppose 7*y = 85672 + 297151. What is the ten thousands digit of y? 5 Let x(n) = 2*n**2 - 4*n - 670. Let h be x(18). Let f = 208 + -52. Let w = h + f. What is the units digit of w? 2 Suppose n - 8 + 2 = 0. Suppose -1 = -5*g - n. What is the tens digit of -3 + 22 - (g + 2)? 1 Let k(o) = -o**3 + 46*o**2 + 10*o + 25. What is the thousands digit of k(45)? 2 Let g = 1600 - 740. Let j = g + -508. What
{ "pile_set_name": "DM Mathematics" }
Let d = 20.99999938 - w. What is d rounded to seven dps? -0.0000006 Let y(r) = -35*r**3 + 9*r**2 - r - 5. Let g(z) = 17*z**3 - 4*z**2 + 2. Let l(t) = 5*g(t) + 2*y(t). Let f be l(-2). What is f rounded to the nearest ten? -120 Let c = -907045.9959 - -907090. Let t = c + -44. Round t to 3 decimal places. 0.004 Let f = -99 + 98.8672. Let y = 17 + -17.13. Let q = y - f. Round q to three dps. 0.003 Let y = -4 - 5. Let p = y + 8.9999953. Round p to 6 dps. -0.000005 Suppose 5*g + 4*o + 5549 = 0, 1428 = -3*g + 3*o - 1923. Let t = 2063 + g. What is t rounded to the nearest 100? 1000 Let v = 0.252 + -0.14. Round v to 2 decimal places. 0.11 Let a = 0.8 - -0.7. What is a rounded to one decimal place? 1.5 Let f = 100.999713 + -101. Round f to five dps. -0.00029 Let i be ((-2)/(-2)*0)/(-1). Suppose 3*k + 0*k - 4879968 = i. Let z = -4173344 - k. Round z to the nearest one million. -6000000 Let z = -52.905 - -53. What is z rounded to 2 dps? 0.1 Suppose -8*y = -7*y - 48. What is y rounded to the nearest 10? 50 Let q = -2396476 - -995739. Let j = q + 1400630.9957. Let f = 106 + j. Round f to three dps. -0.004 Let l = 0.6 + 1.4. Let a = l + -1.9999944. Round a to six decimal places. 0.000006 Let y = 0.8 - -2.4. Round y to zero decimal places. 3 Let z = -7.83 - -7.7. Let r = -33 - -32.8516. Let x = r - z. What is x rounded to three dps? -0.018 Let s = 807 - 807.00000351. Round s to 7 decimal places. -0.0000035 Let y = -9236 - -6297. Let o = -2896.19 - y. Let c = 43 - o. Round c to one dp. 0.2 Let x = -20922 - -9922. Round x to the nearest 1000. -11000 Let b = 0.4 + -0.39999969. Round b to seven dps. 0.0000003 Let f be 21766788/42 - 2/(-14). Let n = -324591 + f. Suppose 3*g + n = -3*s - 34337, 5*s = 2*g - 379998. What is s rounded to the nearest ten thousand? -80000 Let i = 5 + -4. Let v = -0.9999988 + i. Round v to six decimal places. 0.000001 Let c = -1508.999 - -1510. Let m = c + -1. Round m to 2 decimal places. 0 Let p(d) = 2 + 3 - 2 + 2378*d. Let b(v) = 4893925*v + 6175. Let g(k) = 6*b(k) - 12350*p(k). Let m be g(-4). What is m rounded to the nearest ten thousand? 20000 Let s = 0.645 + 0.085. What is s rounded to 1 dp? 0.7 Let p = 2.3 + -3.99. What is p rounded to 1 decimal place? -1.7 Let k(t) = 4200000*t. Let b be k(3). Round b to the nearest one million. 13000000 Let b(a) = -131427*a + 11. Let c(p) = -p**2 - 10*p + 4. Let s be c(-11). Let m be b(s). What is m rounded to the nearest one hundred thousand? 900000 Suppose -5*c = 4*y - 21 - 1, 0 = 4*y - 2*c - 8. Suppose -2*h + 4 = 2*h, 0 = -y*v + 3*h + 20697. What is v rounded to the nearest 1000? 7000 Let a = -0.1997 - -0.2. What is a rounded to four decimal places? 0.0003 Let q = 1.6007 + -1.6. What is q rounded to 3 dps? 0.001 Let d = 1.91083 - 13.89653. Let k = 12 + d. What is k rounded to three decimal places? 0.014 Let r = 374.7 + -409. Round r to 0 decimal places. -34 Let r = 490669472245.999934 - 490662772336. Let f = -6699835 + r. Let n = f - 75. Round n to 5 decimal places. -0.00007 Suppose 3*q = -2*q + 9965. Let g = q - 353. Round g to the nearest one hundred. 1600 Let r be (1480*-3)/((-6)/(-15)). Round r to the nearest one thousand. -11000 Let j = 1.4054 + -8.2219. Let w = j + -4.1846. Let o = w - -11. Round o to three dps. -0.001 Let j = 8.965 - 15. Let w = j + 6. What is w rounded to two dps? -0.04 Let z = 0.001221 - 0.0009. What is z rounded to 5 decimal places? 0.00032 Let h = 21 + -12. Let k be ((-111)/h)/((-2)/408). Suppose 4*o - k = -p, 2*o - 622 = o - 2*p. Round o to the nearest 100. 600 Let n = -98.51 + 98. Round n to one decimal place. -0.5 Let t = 5 + -5.03. Let v = -0.67 + t. Round v to 1 decimal place. -0.7 Suppose 2*r - 2 = -0. Let y(u) = 4500001*u - 1. Let c be y(r). Round c to the nearest 1000000. 5000000 Suppose -3*r - 2 - 4 = 0. Let c be (-1 + -4)*(r - -178). Round c to the nearest one hundred. -900 Let x = 0.2000036 + -0.2. What is x rounded to six decimal places? 0.000004 Let v(m) = -m**2 - 7*m - 4. Let q be v(-6). Let l = 1035301 + -732293. Suppose 3*k = q*b + l, 101795 = 2*k - 4*b - 100221. Round k to the nearest ten thousand. 100000 Let t = -24 - -47. Suppose -m + 0*m + 14 = -2*u, -m + t = -3*u. Let b be (-2)/9 + (-812)/u. What is b rounded to the nearest 100? 100 Let a = 0.35 - 0.3499999. Round a to six decimal places. 0 Let l = -8771089 + 8771097.9999985. Let v = l + -9. Round v to six decimal places. -0.000002 Suppose 5*n + 2*v - 17 = 0, n - 3 = 2*n + 2*v. Suppose -n*j + 5*q = 40, 34 = 2*j - 4*j - 4*q. Round j to 0 dps. -11 Let z be 1/(-6) + 186/36. Suppose z*g = m - 7510, -g = -2*m + g + 15004. Round m to the nearest one thousand. 8000 Let a = -171 - -170.787. Let q = a - -0.2130147. Round q to six decimal places. 0.000015 Let n(c) be the first derivative of -2 - 27999/2*c**2 + c. Let f be n(-1). What is f rounded to the nearest ten thousand? 30000 Let c = -1 + 1. Suppose c = w - 3. Suppose 0 = -w*g + 12171 + 17829. Round g to the nearest one hundred thousand. 0 Let u = 4 - 4. Let y = u - -0.6. Let z = y - 0.59994. Round z to five decimal places. 0.00006 Let j = -23 - -11. Let g = j + 12.051. Let l = -0.051082 + g. What is l rounded to five dps? -0.00008 Let t = 2.4958306 + 81.5039814. Let o = 84 - t. Round o to five dps. 0.00019 Let n = -2 + 1.989. Let i = n - 0.299. Round i to one dp. -0.3 Let y = 0.16 + -0.233. Let f = -0.07 - y. Let a = f - 0.003041. Round a to 5 dps. -0.00004 Let p = -0.05016 - -0.05. What is p rounded to four dps? -0.0002 Let h(a) = -2*a - 2. Let m be h(-4). Let q = m - 3. Suppose -3*l = q*f - l + 2676, l + 893 = -f. Round f to the nearest 100. -900 Let h = 8223037 - -976963. Round h to the nearest 1000000. 9000000 Let d be (-4 - 0)*1/(-2). Suppose d*g - 4*g = -188004. Suppose -n + 3*n = -2*j + g, 2*j - 2*n - 93998 = 0. What is j rounded to the nearest ten thousand? 50000 Let o = 0.56 - 0.559942. Round o to 5 dps. 0.00006 Let x = 6.1 + -3.3. Let y = x - 3.56. Round y to 1 dp. -0.8 Let t = -9 - -8.988. Let q = -27.012 - t. Let b = -26.9999919 - q. What is b rounded to six decimal places? 0.000008 Let n = -186 - 288. Let m(t) = -t**3 - 13*t**2 + 17*t - 1. Let a be m(-15). Let g = a + n. What is g rounded to the nearest one hundred? -300 Let g = 0.7 + -2.98. Let j = 0.08 + g. What is j rounded to the nearest integer? -2 Let z = -18 - -47. Let x = z - 17. Suppose -3*b = -6*b + x, 0 = -4*j - 4*b + 18400016. Round j to the nearest 1000000. 5000000 Let i = 0.16 - -6.06. What is i rounded to 1 dp? 6.2 Let a = 517 + -491.9. What is a rounded to 0 decimal places? 25 Suppose 16 = 5*g - 9. Suppose 0 = c - 3, -5*x + 15 = -0*c + g*c. Suppose x = 5*v - 0*v + 13000000. What is v rounded to the nearest one million? -3000000 Let a = 1.63 - 1.801. Let m = -1.161 - a. Round m to one decimal place. -1 Let p be (-5)/((-5)/5799998) + 2. Let c(y) = -y**3 + 2*y**2 + 3*y. Let o be c(3). Suppose o*n - p = -n. Round n to the nearest one million. 6000000 Let w = 55 - -123. Round w to the nearest ten. 180 Let a = -0.1 + -0.15. Let g = a - -0.6. Let d = 2.45 + g. Round d to the nearest integer. 3 Let r = -5 - -5.5. Let h = 0.445 - r. What is h rounded to 2 dps? -0.06 Let r = 0.05 + -0.04999984. Round r to seven dps. 0.0000002 Suppose 2*m + 3738 = -3*p - 5473, -4*p = 5*m + 23010. Let r = -2498 - m. Round r to the nearest one thousand. 2000 Let m = -4757843 - -3027843. Round m to the nearest one hundred thousand. -1700000 Let a = -267 - -266.777. Let q = 12.783 - 12.559861. Let g = a + q. What is g rounded to five decimal places? 0.00014 Let v = 13 - 10. Suppose -2622 = -v*w + 618. What is w rounded to the nearest 100? 1100 Suppose 4*a - 5*s + 4869 = 0, -4*s = -4*a - 1669 - 3195. Let m = a - -2811. Round m to the nearest 1000. 2000 Let i = -1.5 - -7.5. Let j = i - 6.007. What is j rounded to three dps? -0.007 Let m = -6 + 2. Let c be 7 - (m/2 + 4). Suppose -5 = 5*o + c*z, 0*o + 3*z - 7 = -o. Round o to the nearest 10. -10 Suppose -4*n + 0*n = -6664. Let q(f) = -17*f**2 - 5*f + 2. Let a be q(3). Let r = a + n. Round r to the nearest 1000. 2000 Suppose -2*w - h - 185 = 0, 0*w = -5*w + 2*h - 440. What is w rounded to the nearest one hundred? -100 Let p = 0.03 - 0.0300072. What is p rounded to six dps? -0.000007 Suppose -2*d = -d + 44000. Round d to the nearest 10000. -40000 Let g
{ "pile_set_name": "DM Mathematics" }
3 + 4 - -3) + (-6 - 1) -3 What is the value of 1 - (0 + (13 - 2))? -10 Evaluate -5 - -7 - (-1 - -1 - -2). 0 What is the value of 0 + (5 - (0 - (0 - 3)))? 2 What is -9 - (3 - 13) - -2? 3 What is the value of (1 + 1 - (-1 - -5)) + 5? 3 Evaluate (3 - 1) + (-6 - 4 - -7). -1 What is 0 - (-3 + (0 + -3 - -6))? 0 Evaluate (3 - 0) + (7 - 13 - -3). 0 What is (3 - (5 + 1)) + (1 - -5)? 3 Evaluate (3 - (-3 - -2)) + 0. 4 Calculate -12 + 3 + 1 + (1 - -1). -6 What is (2 - 3) + 2 - (-3 + 3)? 1 Calculate 11 - (9 + 1) - (-1 - 1). 3 Evaluate (-1 - -4 - 4 - -2) + -4. -3 0 + -6 - ((4 - 4) + -2) -4 Calculate -8 - (-12 - -10 - -1). -7 Evaluate (-3 - -6 - -3) + -5 + -7. -6 (-6 - -7) + 3 + 0 + 0 4 What is the value of (3 - (2 - 4)) + (29 - 33)? 1 Calculate 1 - -6 - (4 - -2). 1 What is the value of 1 + (0 - -1) + -303 + 297? -4 What is the value of -9 + -1 - (71 + -75)? -6 What is the value of 9 + -17 + 3 + 3? -2 14 + -13 + -1 + 4 4 Calculate -32 - -31 - (-4 - 1 - 1). 5 Evaluate -8 + 10 - -2 - -4. 8 Evaluate -1 - ((6 + -4 - 3) + 4). -4 Calculate (1 - -4) + 2 + -3 + 7. 11 Evaluate (-7 - (-2 + -5)) + -6 + 1. -5 (-22 - -24) + (-7 - 0) -5 What is the value of -2 + 1 + (-9 - -6)? -4 -2 + -4 + (5 - -5) - 4 0 Calculate -1 - (4 + (2 - 3)). -4 What is the value of 0 - (-3 + (6 - 4))? 1 What is -7 - -3 - (3 + -3)? -4 What is (-5 - -7 - -4) + -3 - -2? 5 (-1 - 1) + (41 - 46) -7 What is the value of 5 + -10 + 12 + -4? 3 What is (47 - 34) + -2 + -2? 9 What is 0 + -3 - (4 + -4 + 2)? -5 Evaluate -1 + 3 + -3 + -1. -2 What is the value of 5 + -5 - (-2 - -2)? 0 (-2 - (-2 - -2)) + -2 -4 3 - (3 + -4 + 7 + -4) 1 Evaluate 16 + -11 - (4 + 2). -1 What is (18 - -2) + -2 + 4 + -11? 11 Evaluate 6 + (8 - 6) + -9. -1 Evaluate 7 + -6 - 4 - (-1 + 3). -5 Evaluate (4 + (-1 - 2) - 2) + 4. 3 -5 - -1 - ((1 - 8) + 6) -3 What is the value of 16 + -6 + -14 + (0 - -1)? -3 What is the value of (-4 - (-10 + 3)) + -8? -5 What is the value of 6 - (-6 - (0 - 12))? 0 Calculate 0 + 5 + 1 + -5 + 3. 4 What is the value of (6 + -3 - -8) + -7? 4 -19 - (-8 - 8 - -6) -9 What is the value of -4 + (7 - -3) + -5? 1 What is the value of -2 + (2 - -1) + (1 - -2)? 4 Evaluate 9 + -17 + 5 + 8. 5 What is (-2 - -5) + -9 + -1 + 4? -3 What is the value of -2 - (-1 - 3 - -1)? 1 What is 1 - 1 - (5 + -5 - -2)? -2 What is the value of (-5 - -18 - -1) + -15? -1 What is the value of 0 - (11 - (11 - 1))? -1 Calculate 0 - ((-4 - (3 - 5)) + 3). -1 4 + -9 + 2 + 5 2 Calculate -3 + (-1 - 4) - -4. -4 7 - (6 + 5 + -5) 1 Calculate -10 - (3 - 12 - -5). -6 What is the value of -16 + 4 + 4 - -15? 7 -97 - -89 - (-1 + 0 + -2) -5 0 - (2 + (-1 - -1) + 1) -3 What is the value of (1 - 2) + (-8 - (-1 - 7))? -1 What is (1 - (6 + -11 + 5)) + -4? -3 Evaluate 8 + -8 - 6 - -5. -1 Evaluate (0 - -7) + 22 + -25. 4 What is the value of -3 - (-1 - (-4 + (4 - -4)))? 2 What is -2 + (0 + 3 - (2 - 0))? -1 What is the value of (20 + -16 - 0) + (-1 - 2)? 1 Evaluate (-12 - -4 - -5) + -3. -6 Evaluate -3 - 0 - 0 - (-1 - 7). 5 What is -3 + -11 + 17 + (-1 - -4)? 6 Evaluate 7 - (-6 + 2 + 1 + 3). 7 Evaluate 2 + 1 + -119 + 108. -8 What is the value of -3 + (6 - 5) + 4? 2 -13 - -6 - (-1 - (4 + -3)) -5 What is (4 - (2 - -1)) + -6? -5 (-24 - -24) + 13 + -5 8 Evaluate -5 + 1 - (-1 + -2 - -2). -3 Evaluate (-84 - -83) + 2 + 5. 6 What is the value of -4 + 9 - (5 + -3)? 3 (5 - (0 + 6)) + 6 5 What is -2 + (1 - -4) + -5? -2 What is the value of 0 + 2 - 1 - 1? 0 Evaluate (-13 - (-2 - 14)) + (-4 - -1). 0 What is the value of -1 + -5 + 1 - (0 + 1)? -6 Evaluate (-3 - (9 + (-2 - 5))) + 0. -5 -5 - 1 - (-40 + 36) -2 What is the value of -1 + -3 + 1 + -5? -8 What is the value of -9 - -17 - (4 + (0 - 0))? 4 Calculate -39 + 30 - (-1 - -2). -10 What is (0 - -4) + 2 + -6? 0 What is the value of (1 - (-2 - -7)) + -24 + 35? 7 Evaluate (-11 - -6) + -1 + 6. 0 Calculate -14 + -2 + 7 + 10. 1 Calculate (3 - (-6 + -3 + 5)) + -8. -1 Evaluate -4 + 0 - (4 + -13 - -11). -6 What is the value of -4 - (-1 - 1 - (2 + 2))? 2 What is the value of 1 + 4 + (-3 - -1)? 3 Calculate 6 + 9 + -13 + 4. 6 2 + (-1 - -1 - 3) + -2 -3 Calculate (-13 - -7) + 4 + -3 + 1. -4 What is 3 - (5 - -1 - -2) - -4? -1 Evaluate 0 + -7 + 3 + 3 + -1. -2 -11 - (-9 + 7 + -8) -1 -3 - (6 - 4 - 2) -3 Evaluate 1 - (-5 - 0 - (5 - 4)). 7 What is the value of -117 + 119 + -12 + 1? -9 What is the value of (1 - -9) + -6 + (1 - 1)? 4 Evaluate (3 - -6) + -9 - (1 - 7). 6 Calculate (72 - 82) + 4 + 1. -5 What is the value of 26 + -30 - (4 - -3)? -11 What is the value of 3 - -1 - (85 + -77)? -4 20 + -12 + -6 + -10 -8 2 + -3 + -4 - -2 - 0 -3 15 - (5 - (5 - 12)) 3 Evaluate 6 + 0 + 3 + -3. 6 Calculate -12 + 6 - (-11 + 4) - -3. 4 8 + -5 + -2 + 3 4 What is the value of 2 - (11 - 5) - 2? -6 What is the value of -71 + 64 - (-9 - -1)? 1 What is 5 + (-5 - (4 - 4))? 0 What is -6 + (10 - -1) + -7? -2 What is 1 - (9 - 3) - (-16 + 1)? 10 What is -11 + 7 + -2 + 3? -3 Calculate (-13 + -4 - -11) + (-1 - -1). -6 Evaluate -14 - 0 - (-5 + (4 - 5)). -8 Calculate 1 - (-7 + -4 + 5 - -9). -2 Calculate (-4 - 0 - -1) + 5 + 3. 5 Evaluate -1 + -2 + (7 - 2). 2 -7 - 0 - (3 + -7) -3 (2 - (1 + 5) - -5) + 1 2 Evaluate 1 - -3 - ((7 - 1) + 1). -3 Calculate 4 - (1 + (-1 - -4)) - 1. -1 Evaluate 13 + (-12 - -1) + 5. 7 4 - (4 + -5 + 1) 4 Calculate (-5 - -2 - -1) + (-12 - -7). -7 Calculate 3 - -3 - (-13 + 12 + 8). -1 What is -1 + (2 + 17 - 7) + 0? 11 What is the value of 17 + 1 + (-1 - 12)? 5 What is -9 + 23 + -9 + -11? -6 What is the value of (3 - (4 - 1)) + 0 + 4? 4 What is the value of 7 + -9 + -6 + (16 - -1)? 9 (-2 - -2) + 3 + -7 -4 4 + 15 + -16 - (2 - -7) -6 Calculate -2 - (4 + (-12 - -3)) - 5. -2 Evaluate (-2 - -6) + (-2 - -2) - 0. 4 What is the value of 0 + (-2 - (3 + 2 + -1))? -6 9 + -5 - (-2 + (3 - -1)) 2 Evaluate -11 - (-8 - (-6 - -2)). -7 What is (-1 - 2) + 6 + -17 + 10? -4 What is the value of (8 - 0) + (-13 - -25) + -14? 6 What is 1 - (1 + (-2 - -3))? -1 Calculate 3 + 4 + -9 - 3. -5 What is -12 - (-8 + 2 + 0 + 0)? -6 Calculate -3 - -5 - (-1 + 0 - -4). -1 Evaluate -1 + 1 + (5 - 0). 5 -3 + (6 - (10 + -5)) -2 Evaluate 4 + (0 - (-9 + 1) - 10). 2 What is -8 + 3 + 5 - 4? -4 6 - (10 + -6 + -1 - 4) 7 What is the value of 4 + -7 + (0 - (-5 + 3))? -1 What is the value of -4 + -1 + 0 - (-5 - 1)? 1 (-4 - -2) + 15 - 7 6 Calculate (30 - 37) + (14 - 2). 5 Evaluate 8 + -5 + -12 - 1 - -4. -6 What is the value of 3 - (14 + -4) - (-6 - -5)? -6 (-7 - -3) + (12 - 7) 1 -6 - (5 - 2 - (4 - -10)) 5 What is 3 + 0 + 1 - (9 - 4)? -1 Evaluate (5 - 1) + (8 - 11) - -1. 2 Calculate 3 + (-7 - 1 - -2) + -1. -4 Evaluate (-4 - (-3 + 0)) + 0. -1 What is the value of (-5 - -3 - 3) + -2 + 4? -3 Evaluate 48 + -43 + (-1 - -1). 5 What is (-4 + 5 + -1 - -6) + -1? 5 Evaluate (-6 + (4 - -2) - 3) + 11. 8 Evaluate (0 - -11) + -3 - 5. 3 What is the value of -14 + (1 - 10 - -29)? 6 Calculate 2 - (-6 - (-6 + 6 - 6)). 2 What is 8 + -11 + (-3 - -4) + -3? -5 Calculate (2 - (7 + (-6 - -3))) + -9. -11 Calculate (-10 - (0 - 0)) + -2 - -6. -6 What is -11 + (1 - -14) + -15? -11 What is the value of 15 + (-2 - 10) + -3? 0 Evaluate -2 + (5 - (4 + -3)). 2 What is the value of -2 - (-4 + 1 + 15 + -11)? -3 Evaluate 14 + -5 - (3 + -6 + 6). 6 3 + (5 - 5) + 2 5 What is (-4 - (-6 - -3 - -2)) + 5? 2 What is the value of 8 - (-3 + 7 + -12 + 9)? 7 Evaluate (7 - -4 - 7) + -3. 1 Calculate 4 - (3 + 4 - 5) - -1. 3 What is -4 + 0 + 0 - (4 - 7)? -1 Evaluate (5 - (3 + -3)) + -2. 3 5 + (-10 - (-7 - -3)) -1 Evaluate 6 + -4 + (-5 - -3) + -5. -5 What is the value of -1 - -5 - 2 - (-24 + 21)? 5 What is the value of -9 + -1 + 6 + -1? -5 What is the value of -2 + (5 - 4 - 3)? -4 What is the value of (-1 + -2 - -2) + (38 - 28)? 9 Calculate -4 + (0 - 4 - (-4 + 1)). -5 What is the value of -6 + (4 - (7 - 4))? -5 What is the value of (-1 - (3 + -6)) + 0 + 1? 3 Evaluate 2 + 4 - (36 + -31). 1 Calculate (-33 - -28) + (1 - 1). -5 Evaluate -9 + 5 + 0 + -4 + 5. -3 What is the value of -6 - (-2 + -8 + -4 + 6)? 2 Evaluate -74 + 73 - (3 + -1 + 2). -5 What is the value of 7 - (-2 + (-4 - -20))? -7 Evaluate (4 - 3) + -2 + 3. 2 What is -8 - -9 - (1 - 1)? 1 What is the value of -4 + 1 - (-10 - -2 - -3)? 2 -17 + 2 + (14 - 6) -7 What is the value of 3 + (2 - 4) + (4 - 2)? 3 -1 + (-5 - -1) + -40 + 50 5 What is the value of -8 - (-8 + -6 + -1)? 7 Calculate 5 + 3 + (0 - 4). 4 What is (-18 -
{ "pile_set_name": "DM Mathematics" }
/169, -1, 0.5, 6/11? 6/11 What is the nearest to -22 in -3/40, 0.2, -3/14, 7? -3/14 What is the closest to 4 in -96.7, -0.51489, 0? 0 What is the nearest to 0.05 in 0, 3/4, 0.022? 0.022 What is the closest to 1 in -1/4, 0.4, 167/4, -0.0528, 4/7? 4/7 Which is the closest to -1816? (a) -12 (b) 4 (c) 1 a What is the nearest to 0.1 in 0.2, -598, -2/19, -3? 0.2 What is the nearest to -2/7 in 7, 1/2, 688, 1, 4, -218? 1/2 What is the closest to 93 in -0.5, -0.02, 9.2, -17, -2? 9.2 Which is the closest to -0.024? (a) 1/28 (b) 1/2 (c) -228/29 a What is the closest to 1/10774 in -0.5, 0.1, 0.4, -5, -0.098, 4? -0.098 Which is the nearest to -1? (a) -5/4 (b) 50 (c) -39/16 (d) 2/7 a Which is the nearest to 6.04? (a) 1/11 (b) -0.45 (c) -4 a What is the closest to -245 in -29215, 1/3, -3, -7, 1/10, 5? -7 Which is the closest to 53? (a) 1.3 (b) 56.2 (c) 0.4 b Which is the nearest to 6.215? (a) -3/7 (b) 0.2 (c) 18 b Which is the closest to -0.1? (a) -0.1 (b) 9 (c) 43 (d) 104 a What is the closest to 1/4 in -2011, -13, -4, 8? -4 What is the closest to 166 in 87, 27, -9? 87 Which is the closest to 4? (a) 4054 (b) -24 (c) 9/4 c What is the nearest to -0.2 in -1/2, -2847, 65? -1/2 Which is the closest to 30/2791? (a) 5/2 (b) -1 (c) 1 c What is the nearest to -0.2 in 41, 0.002, -3/7, -2/161, -1/3? -1/3 Which is the closest to 0.1? (a) -3.45 (b) -17.1 (c) 0.5 (d) 5 (e) 0.05 (f) 1 e What is the nearest to 7/69 in -3, -198, 57? -3 What is the closest to -7 in 0.0897, -1/8, 2, 0.1, -5? -5 What is the nearest to 0 in -29.8, -963.9, -1/4? -1/4 Which is the nearest to 97? (a) 575/7 (b) -5 (c) 2/15 a What is the nearest to 0.2 in 0, -2, -8/13, -1, -52/135? 0 Which is the closest to -2/7? (a) -0.3 (b) 0.3 (c) -6/5 (d) -3567 (e) -0.0063 a What is the nearest to -1 in 6, -0.2, 1, 1/7, -365.473, -0.1? -0.2 What is the closest to 2/5 in -2/7, 33, -1/4? -1/4 Which is the nearest to -2? (a) 10/577 (b) -1 (c) 6/25 b Which is the nearest to 5? (a) 1.5 (b) 783 (c) -3 (d) 0 a What is the closest to 54.2 in -21, -1/6, -0.07, -4/3, 0.2, 66? 66 What is the nearest to 0 in 33.189, -0.3, 0.066? 0.066 Which is the nearest to -469? (a) 0 (b) 25/2 (c) 2 (d) 0.1 a What is the closest to -1 in -7, 2, -6/965399? -6/965399 What is the closest to 2/21 in 13.22, 3, 256, 1? 1 What is the nearest to 147 in 0.4, -2/113, 0.25, 21/5? 21/5 Which is the nearest to 15? (a) -1/2 (b) -3 (c) 3 (d) 175970 c What is the closest to -2/5 in 0.214, -2/113, 0, -13? -2/113 What is the closest to -0.1 in -2/5, 5, 4, -9/4, 37924, -3/2? -2/5 Which is the nearest to -0.04? (a) -94.78 (b) -1 (c) -1/2 (d) -1/36 d What is the closest to -2 in 1, 0.2, 39/4, 0.12, -2/13, -3/2? -3/2 Which is the closest to -1/4? (a) 473.4 (b) 1/13 (c) -77/12 (d) -2/5 (e) 1 d Which is the closest to -12? (a) 0.1 (b) -2/5 (c) -5 (d) 5 (e) 7/41 c Which is the closest to -1/4? (a) -0.007 (b) -0.37 (c) 0.204 (d) -4 b What is the nearest to -1203 in 0.2, 3, 0.071, 4/51? 0.071 Which is the nearest to -0.7? (a) 38 (b) -3 (c) -0.1 (d) 27 (e) -4 c What is the nearest to 1 in -80, -0.04, 1.6, 2/3? 2/3 Which is the closest to 853? (a) -7 (b) 4 (c) -1/5 (d) -4/7 (e) -4 (f) 10 f What is the nearest to -1 in -0.15, -99.97, 5? -0.15 What is the closest to 787/4 in -11, 1, 0.04? 1 Which is the closest to -5? (a) 2 (b) -2/9 (c) -539.9 (d) 3 (e) -5 (f) -14 e What is the nearest to -1/3 in 62, -6, 5, -3698, 1? 1 Which is the nearest to -15? (a) -1194 (b) 0 (c) 4 (d) -175 b Which is the nearest to -1/10? (a) 2/9 (b) 0 (c) -203 (d) 25 (e) 11 (f) 4 b Which is the closest to -1? (a) 0.7 (b) -1/9 (c) 4 (d) -19043 b What is the nearest to -1/5 in -2638.818, 1, 38? 1 What is the closest to -1 in 16, 4, 9, -24/25? -24/25 What is the closest to 237.22 in 5, 3, -59, -0.05, 4/3, 2/7? 5 Which is the nearest to 3316? (a) -1 (b) -8 (c) -86 a Which is the closest to -1? (a) -1 (b) -0.5 (c) 1781705 a What is the nearest to 1 in 1, -7, -101, 0.07, 0.06? 1 Which is the closest to -1? (a) -197009 (b) -8/115 (c) -5 b Which is the closest to 121? (a) -0.3 (b) 0 (c) 130092 b Which is the nearest to 245? (a) -7.12 (b) 0 (c) 1/6 (d) 0.5 d What is the closest to -4.18 in 4, 3672, 3? 3 Which is the closest to 0.4? (a) -0.4 (b) 0.3 (c) -413.6177 b Which is the nearest to 1? (a) -2/11 (b) -6 (c) -10 (d) 5/4 (e) -3 (f) 22 d What is the nearest to 20 in -2/61, 1, 5, -1/4, 4? 5 What is the closest to 15/4 in -725, -0.4, -1/6? -1/6 Which is the nearest to 0.4961? (a) -5 (b) 15 (c) 2 c What is the closest to 1 in -1/2, -28.8, 419, 0.3, 0.2, 2? 0.3 Which is the nearest to 23? (a) -5 (b) -2/13 (c) 1/2 (d) -2 (e) 8 (f) -1.108 e What is the closest to -6 in -163, 5, 3, 289? 3 What is the nearest to -414 in 0.3, 11, -57? -57 What is the closest to -16/7 in 2/11, 1, -6, -0.1, -1/513? -0.1 What is the closest to -1/2 in 36, -0.4, -3, 3, 1/9? -0.4 What is the closest to 12 in 7, -27, 74, -3, 4/5? 7 Which is the closest to -0.1? (a) 30 (b) -4 (c) -0.5 (d) 5 (e) 2086 (f) -5 c What is the closest to -5 in 1/4, -29, -0.414, -0.5, 1/7? -0.5 What is the closest to 8.3 in -2/19, 0.3, 0.015, 0.05, 0.6? 0.6 What is the closest to 0.1 in 167/3, 14, -2/5, -0.3, -1.2? -0.3 What is the nearest to -1 in 117/4, 0.23, -22/3, 3, 1/5? 1/5 What is the nearest to -1.079 in 9, 3/4, 5, -0.83? -0.83 Which is the closest to -7? (a) -0.3 (b) -1/4 (c) 33/1574 (d) -2/5 (e) -3/2 e What is the closest to -1356 in -0.3, 0.11, 2, -0.04, 3? -0.3 Which is the closest to -19.861? (a) 1 (b) 1/4 (c) -0.201 c What is the nearest to 15/4 in -54100, 0.5, -2/13? 0.5 Which is the nearest to 0.1? (a) 0.07 (b) -128.3 (c) 5 (d) 2/3 (e) 2/5 a What is the nearest to -1/3 in 183.65, 1/254, -1/2? -1/2 What is the closest to 123 in 1483, 4/7, 5/37? 4/7 Which is the nearest to -1/3? (a) -4/5 (b) 354/5 (c) 5 (d) -9/13 d What is the nearest to -449 in 2/21, -7035, 0.2, 5/4? 2/21 Which is the nearest to 0.033? (a) 854/15 (b) -108 (c) 4 (d) 5 c What is the closest to 16 in -0.02, -0.87, -2/9, -2/261, -0.08, 1? 1 What is the nearest to 0 in -8/13, 153, 0.3, -3/74? -3/74 Which is the closest to 10/727? (a) 2/3 (b) -2 (c) 1/2 (d) -1/4 d What is the nearest to 4.9371 in -23, -3, 293? -3 What is the nearest to 0.129 in -0.0169, 1.6, -52? -0.0169 What is the closest to -104 in 5368, 9, 0.04? 0.04 What is the nearest to -0.23 in 6/179, 4, 8? 6/179 What is the nearest to 3/134 in 2/3, 3, -1/921? -1/921 Which is the closest to -5? (a) 0.1 (b) -1/4 (c) -31 (d) 0.2 (e) 12.4 (f) 13 b Which is the closest to 3/10? (a) -1/67 (b) 0.114 (c) 111 (d) 2/13 d What is the nearest to -212 in -5/7, -118, 5, -0.3, -3, -0.5? -118 What is the nearest to 1/30 in 8246, -2/23, 0.7? -2/23 What is the nearest to -1.1 in 69, -3, -2, 58, -1, 22? -1 What is the closest to 0.4 in 1.456, 1.4, 0.1, -4/3? 0.1 Which is the nearest to 164? (a) -1/3 (b) -1/4 (c) -0.7 (d) 2/11 (e) -2/7 (f) -0.1 d Which is the closest to 7? (a) -1/6 (b) 0.4 (c) 1676890 b What is the nearest to 0.1 in 1.58, -1/11, 0.04, 1/230, -1/5? 0.04 Which is the closest to 14? (a) -2/5 (b) 25.8 (c) 21 (d) -0.06 c What is the nearest to -110 in -2/5, -3, -2/11, -1/3, 84/13? -3 What is the nearest to 13429 in -1/5, -0.3, -1/9, -1, 2, 138? 138 Which is the nearest to 0? (a) 26076 (b) 0 (c) -0.1 b Which is the nearest to -1/198? (a) -1 (b) -3/4 (c) -5090/31 b Which is the nearest to -0.2? (a) -118329 (b) 0.1 (c) -5.12 b Which is the nearest to 9? (a) 3/5 (b) 16 (c) 0.4 (d) 0 (e) 0.66 b Which is the closest to 3/23? (a) 12 (b) -18/17 (c) 88 b What is the nearest to 2/5 in 2/31, 8/25, 0.1, 2, -0.2, 63/17? 8/25 Which is the closest to -0.186? (a) 74 (b) -5 (c) -5/4 (d) 0.3 (e) -0.34 e Which is the closest to -1? (a) -5.17 (b) -33/5 (c) 22 a Which is the closest to -2? (a) 474 (b) -5 (c) 43 (d) -105 b What is the closest to 1/4 in 5, -5, -1/10, -0.4, -11, 60? -1/10 Which is the nearest to 53? (a) 0 (b) 86 (c) -2/5 b What is the closest to 1 in -0.5, -620.52, -3, -1, -2? -0.5 Which is the closest to 1? (a) 1.77 (b) -13 (c) -26 (d) 23 a Which is the closest to 13/5? (a) 2188 (b) 4 (c) -9/5 b Which is
{ "pile_set_name": "DM Mathematics" }
3 + 24. Let o(b) = 32*b + 4. Let m be o(i). Let h = m + 39. What are the prime factors of h? 3, 5 Let u = -239 - -341. Suppose -p + 3*p = u. List the prime factors of p. 3, 17 Let h(j) = -2 + j**3 - 10*j**2 + j + 12*j + 1. Suppose 0 = -2*k + 47 - 29. List the prime factors of h(k). 5, 7 Let j(h) = -h**2 - 2*h + 37. Let c = -21 - -23. Let b be c/4 - 2/4. What are the prime factors of j(b)? 37 Let d = 34 - 29. Suppose -q + 77 = o + d, -366 = -5*q + o. What are the prime factors of q? 73 Let z(d) be the first derivative of 3*d**2/2 - 15*d + 13. What are the prime factors of z(11)? 2, 3 Let s(a) be the third derivative of a**4/24 + 4*a**3 - 3*a**2. Let i be s(0). Suppose y = -2*t - 3*y + i, -5*t + 27 = -y. What are the prime factors of t? 2, 3 Let n = -3467 + 5823. List the prime factors of n. 2, 19, 31 Let u = 1205 - 1068. What are the prime factors of u? 137 Let g(t) = -t**3 + 4*t**2 + 2*t - 2. Let f be g(4). Let a be (-2)/1*(f - 13). Let i = 11 + a. What are the prime factors of i? 5 Let l(a) = -3*a - 6. Let i be l(-3). Suppose -3*d = -3*s + 18, -11 = -0*s - i*s - 4*d. List the prime factors of s. 5 Suppose 5*h + 3*p - 3090 = 0, 4*p = -42*h + 45*h - 1854. List the prime factors of h. 2, 3, 103 List the prime factors of 1458896/1520 - (-3)/((-30)/8). 7, 137 Suppose 3*b + 8 = 5*b. Suppose -b*n = -3*n - 8. List the prime factors of 4*(22/n)/1. 11 Suppose -4258 = -5*n - 1478. Suppose -2*r + 4*r = n. What are the prime factors of r? 2, 139 Suppose -b = -3*b - 6. Let o be 55/(-110) - (-142)/4. Let p = o + b. List the prime factors of p. 2 Let h be (450/(-4))/(4/(-8)). Suppose 5*r - h = -55. What are the prime factors of r? 2, 17 Let m(c) = c**2 + 25*c - 10. Let v be m(-25). Let z(q) = -6*q - 8. List the prime factors of z(v). 2, 13 Suppose -678 = -3*l - 3*l. List the prime factors of l. 113 Suppose -5*g = -7 - 3. Suppose j + 4*j = 2*a - 52, 2*j = g*a - 40. List the prime factors of a. 2 Let m(k) = -k**2 - 10*k - 3. Suppose y = 2*d - 56, y + 50 = 3*d - 7. Let r be y/14 - 2/14. List the prime factors of m(r). 3, 7 Suppose 39 = 11*n - 8*n. Suppose -4*s + 734 = 2*u, -n*u + 1 = -12*u. List the prime factors of s. 3, 61 Let b(k) = 6*k**2 - 2*k + 1. Let i be b(1). Suppose 0 = i*o - 11 - 4. Suppose -2*t + o*v + 4 = -23, 12 = t - 3*v. What are the prime factors of t? 3, 5 Suppose 12*z - 4*z - 6848 = 0. What are the prime factors of z? 2, 107 Suppose 0 = 19*q - 24*q + 5315. What are the prime factors of q? 1063 Let k(h) = h + 2. Let s be k(3). Suppose -s*z - 1 = -11. What are the prime factors of -12*(z - (3 - 0))? 2, 3 Let n be (6 + -1)*3*(-3)/(-15). Suppose n*o = 5*h - 0*o - 974, -4*h + 3*o = -781. List the prime factors of h. 193 Let t be -3 + 5 - (2 + 4). Let g be (-4)/(-10) - (-94)/(-10). What are the prime factors of -15*(-3)/(g/t)? 2, 5 Suppose 0 = 2*p - 274 - 298. Suppose -p = -4*c + 122. List the prime factors of c. 2, 3, 17 Suppose -2*c - 2*m + 350 + 812 = 0, -c - 2*m + 576 = 0. List the prime factors of c. 2, 293 Let s = -39 - -152. Let k = s - 89. What are the prime factors of k? 2, 3 Let q be (-4)/(-3) + (-1)/3. Suppose -14 = 5*r - 4*w + 22, -2*r - 4 = w. List the prime factors of ((-8)/q)/r + 16. 2, 3 Let r(t) = 2*t**3 - 2*t**2 - 3*t + 2. Let u be r(2). Suppose 12 = u*h - 12. Suppose -9*g + 72 = -h*g. What are the prime factors of g? 2, 3 Suppose -5*c = 5*z - 845, 4*z + 4*c - 8*c = 716. Suppose 3*u - z = 453. List the prime factors of u. 11, 19 Suppose 2*n - 515 - 435 = -2*g, g = -2*n + 474. List the prime factors of g. 2, 7, 17 Suppose 0 = -8*h + 6*h - 84. Let r be (18/(-7))/(3/h). Suppose 2*q - r = q. List the prime factors of q. 2, 3 Let b(a) = -a**3 + 7*a**2 - 3*a. Let o be b(5). What are the prime factors of (-154)/4*(-60)/o? 2, 3, 11 Let q be 5*1/10*-2*1. List the prime factors of 0 + q*1 + -14 + 30. 3, 5 Suppose 0 = -5*r - p + 10696, 2*r - 4362 = 5*p - 89. What are the prime factors of r? 3, 23, 31 Suppose -7*s + 2*s = -15. Let g(l) = 4*l**2 - l - 3. Let m be g(s). List the prime factors of -1 + -4 + 2 + m. 3 Let u(m) = 2*m**3 - m**2 + 2. Let n(q) = q**2 + 7*q + 2. Let d be n(-7). Let g be u(d). Let l = g - -9. What are the prime factors of l? 23 Suppose 592 = -11*n + 7*n. Let m = -79 - n. List the prime factors of m. 3, 23 Let b(t) = -t**3 - 42*t**2 + 3*t - 32. Let x be b(-42). Let z be (8/(-5))/((-2)/(-10)). What are the prime factors of 1*x*4/z? 79 Suppose 3*x + 73 = 991. List the prime factors of x. 2, 3, 17 Suppose -2*h - 4 = 0, -8 = -24*n + 22*n - 2*h. Let i(c) = c - 2. Let g be i(6). Suppose -6*x + n = -g*x. What are the prime factors of x? 3 Let j(c) = -c + 1. Let i(q) = -2*q + 2. Let l(s) = -i(s) + 4*j(s). Let n be l(1). Suppose 4*z + 32 - 208 = n. List the prime factors of z. 2, 11 Suppose -2 = -r - 0. Let h be r/8 + (-63)/28. What are the prime factors of (-17 - 1)*(h + 1)? 2, 3 What are the prime factors of (-126)/(-21) - (-1077 - (-3 - -3))? 3, 19 Suppose -5*n + 90 = 10. Let u(q) = 5*q + 18. List the prime factors of u(n). 2, 7 Let u(v) = -117*v + 13. Let t be u(2). What are the prime factors of (-1)/2*(3 + t)? 109 Let d be (-2)/(-10) + (-748)/(-10). Suppose -15 = 4*c - d. List the prime factors of c. 3, 5 Let n = 3 + -2. What are the prime factors of (n - 1) + (-115)/(-5)? 23 Let c(v) = -86*v - 305. What are the prime factors of c(-5)? 5 Let g = 246 + -304. Let d = -260 + 494. What are the prime factors of (-1)/(4 + d/g)? 29 List the prime factors of ((-933)/12)/((-7)/28). 311 Let s = -17 + 20. Suppose -2*r = -j + 41, 5*j - 147 = -s*r + 110. What are the prime factors of j? 7 Suppose 5*u - 18 + 0 = -3*h, 4*u = -4*h + 16. Suppose u*d = 498 - 189. What are the prime factors of d? 103 Suppose -4*c + 540 + 1300 = 0. What are the prime factors of c? 2, 5, 23 Let r(y) be the second derivative of -y**3/3 + 7*y**2 + 7*y. Let j be r(7). Suppose j = 5*m - 168 - 172. List the prime factors of m. 2, 17 Suppose 0 = -4*y + 12. Suppose 5 + 7 = -y*p. What are the prime factors of (p/6)/((-36)/1998)? 37 Let f be 6 - 9 - (1 + -76). Let v = f - 38. What are the prime factors of v? 2, 17 Let f be (-35)/(-14) + (-3)/6. Suppose -f*c = -8*c + 324. What are the prime factors of c? 2, 3 Let v be (-1)/3*13626/(-6). Suppose 2*l = 5*s + 229, s - v = -4*l - 266. What are the prime factors of l? 2, 61 Let h be 1*(4 - 3 - 1). Suppose h*q + q = 49. List the prime factors of q. 7 Suppose -b - 4*j = -5*j + 18, -4*b = -2*j + 68. What are the prime factors of (b + 8)/(0 + -2) + 2? 2, 3 Let j(d) be the third derivative of d**5/60 + 3*d**4/8 + 5*d**3/6 + 25*d**2. Let h be (-2)/9 + (-88)/9. List the prime factors of j(h). 3, 5 Suppose 8*r = 4*r - k + 1619, 4*k + 796 = 2*r. What are the prime factors of r? 2, 101 Suppose 3*n - 541 = 233. Suppose -3*q = v - 137, 39 = -2*v + 5*q + n. List the prime factors of v. 2, 61 Let s(y) = 3*y**2 + 33*y - 45. Let p(v) = -4*v**2 - 50*v + 67. Let w(j) = -5*p(j) - 7*s(j). What are the prime factors of w(12)? 2 What are the prime factors of (-41804)/(-49) - (-32)/(-28)? 2, 3, 71 Suppose -4*z + 5 = 1. Let w = 2 + z. Suppose -23 - 103 = -w*o. What are the prime factors of o? 2, 3, 7 List the prime factors of ((-7942)/(-4))/(-19)*(-14 + 0). 7, 11, 19 Let q(w) = -w**3 + 7*w**2 - w + 4. Let r be q(7). Let m be (-2 - 1) + 20 - r. Suppose -2*a = -a + 2*i - 17, -4*i - m = -4*a. What are the prime factors of a? 3 Let g be (-6)/(-15) + (33588/(-15))/(-2). Suppose -3*r = r - g. What are the prime factors of r? 2, 5, 7 Let x be 157/(-2) - 1/(-2). Let m = -45 - x. What are the prime factors of m? 3, 11 Let j = -45 - -40. Let c = 18 - j. List the prime factors of c. 23 Let l = -5 + 9. Suppose 5*t - 4*z = l, -2*z + 16 = t + z. Suppose -4*i = t - 68. List the prime factors of i. 2 Suppose 3*p + 5*b - 105 = 1087, -3*p = 3*b - 1188. What are the prime factors of p? 2, 197 Let t = -10 + 13. Let h be -1*t - (-16 + 8). Suppose -p - p + 211 = h*f, p = -2. List the prime factors of f. 43 Suppose 15 = 5*f - 3*y, f + 3*f = 5*y + 25. Suppose f = u - 6*u + 350. List the prime factors of u. 2, 5, 7 Let f = -176 - -313. What are the prime factors of f? 137 Let g(u) = 429*u**2 + 12*u + 39. What are the prime factors of g(-3)? 2, 3, 7, 23 Let l be (-2)/11 + (-48)/(-22). Suppose -5*g + l*c + 245 = -3*c, 5*g - 195 = -5*c. What are the prime factors of (-8)/g
{ "pile_set_name": "DM Mathematics" }
st 10. 210 What is 0.14575048 rounded to five dps? 0.14575 Round -3130.3889 to 0 dps. -3130 Round 0.00005709962 to six decimal places. 0.000057 What is -0.000104456 rounded to 6 dps? -0.000104 What is -544864.3 rounded to the nearest one hundred? -544900 Round 71193000 to the nearest one hundred thousand. 71200000 Round -4.15024 to 1 decimal place. -4.2 Round 38236590 to the nearest 1000000. 38000000 What is 0.00000196589 rounded to 7 decimal places? 0.000002 Round -12422040 to the nearest 10000. -12420000 Round -2.511254 to 3 dps. -2.511 Round 27897.7 to the nearest 1000. 28000 What is -809393000 rounded to the nearest one million? -809000000 What is -0.00131482 rounded to five dps? -0.00131 What is 0.0366467 rounded to 2 dps? 0.04 Round 3.948871 to 2 decimal places. 3.95 Round 0.01859699 to 5 decimal places. 0.0186 Round 95383.238 to the nearest 1000. 95000 Round 32078370 to the nearest one hundred thousand. 32100000 What is 62.17609 rounded to the nearest integer? 62 What is 3803387000 rounded to the nearest 1000000? 3803000000 What is 0.000050214 rounded to six dps? 0.00005 Round -8934000 to the nearest one hundred thousand. -8900000 What is -0.0828187 rounded to 4 decimal places? -0.0828 Round 0.0000276319 to 6 decimal places. 0.000028 What is -0.00186161 rounded to 4 decimal places? -0.0019 What is -3.7087674 rounded to 1 dp? -3.7 Round -0.3383562 to three dps. -0.338 Round -0.00123808 to 3 dps. -0.001 Round 169581100 to the nearest one hundred thousand. 169600000 Round -29.04364 to zero decimal places. -29 Round 0.0000539182 to 6 dps. 0.000054 Round 52818.127 to the nearest one hundred. 52800 What is -4534.7875 rounded to the nearest 10? -4530 What is 818234000 rounded to the nearest 1000000? 818000000 Round 0.000338109 to 5 decimal places. 0.00034 What is 129395500 rounded to the nearest one million? 129000000 Round -4342.635 to 0 dps. -4343 Round 21.843006 to 1 decimal place. 21.8 Round -0.00032533699 to seven dps. -0.0003253 What is -0.0008478116 rounded to 5 dps? -0.00085 What is 146784 rounded to the nearest 100? 146800 What is 7590000 rounded to the nearest one hundred thousand? 7600000 What is -782153 rounded to the nearest 100000? -800000 What is 0.13822 rounded to two dps? 0.14 Round 76.4848 to zero decimal places. 76 Round 0.25690186 to 3 decimal places. 0.257 What is 2.6000824 rounded to one dp? 2.6 Round -0.0005193686 to seven dps. -0.0005194 What is -1083715000 rounded to the nearest one hundred thousand? -1083700000 What is -0.990765 rounded to 1 dp? -1 What is 1168.27 rounded to the nearest ten? 1170 Round -6860270 to the nearest one hundred thousand. -6900000 What is -0.00006891659 rounded to 7 dps? -0.0000689 What is 0.00000292285 rounded to 7 decimal places? 0.0000029 What is 2.0141066 rounded to 2 dps? 2.01 What is -0.000004203484 rounded to 7 decimal places? -0.0000042 Round 0.000003018137 to 6 decimal places. 0.000003 Round 14994.08 to the nearest one thousand. 15000 What is 0.0008922202 rounded to 4 dps? 0.0009 What is 4905566 rounded to the nearest 100000? 4900000 Round -0.0000448253 to 5 dps. -0.00004 Round -671.543 to the nearest 100. -700 Round 46.89398 to the nearest integer. 47 What is 0.001035388 rounded to 6 decimal places? 0.001035 What is 541675.24 rounded to the nearest ten thousand? 540000 What is 3.48724 rounded to two decimal places? 3.49 Round -11811.1 to the nearest one hundred. -11800 Round -0.000000838004 to seven dps. -0.0000008 What is 0.000357379 rounded to 5 decimal places? 0.00036 Round 47029.077 to the nearest 1000. 47000 What is 1424044300 rounded to the nearest 1000000? 1424000000 What is -21297.558 rounded to the nearest one thousand? -21000 Round -0.0039455981 to 4 decimal places. -0.0039 What is 0.008173 rounded to three decimal places? 0.008 Round 0.001206834 to five dps. 0.00121 What is -0.000002525112 rounded to 7 dps? -0.0000025 What is -0.00934615 rounded to three dps? -0.009 Round 516396000 to the nearest one million. 516000000 What is -519410 rounded to the nearest 100000? -500000 Round -6.380019 to one dp. -6.4 Round 0.00008239839 to seven decimal places. 0.0000824 Round -3007.548 to the nearest 100. -3000 What is -7517.95 rounded to the nearest 10? -7520 What is -82.3402 rounded to the nearest integer? -82 What is -78357964 rounded to the nearest 100000? -78400000 What is 0.00049465336 rounded to 7 decimal places? 0.0004947 What is -0.000854158 rounded to five dps? -0.00085 Round 6311130 to the nearest 1000000. 6000000 What is 0.5932734 rounded to 2 dps? 0.59 Round 7.858815 to 2 decimal places. 7.86 Round 0.051964757 to 4 decimal places. 0.052 Round -31592270 to the nearest 10000. -31590000 Round -1.01087 to 1 dp. -1 What is -4.90722 rounded to two decimal places? -4.91 Round 0.0208887 to 4 dps. 0.0209 Round -111.5244 to 1 decimal place. -111.5 Round 0.00031716004 to 5 dps. 0.00032 Round -6422900 to the nearest ten thousand. -6420000 Round 224.3427 to the nearest integer. 224 What is 12417.76 rounded to the nearest ten? 12420 What is -7.089472 rounded to 2 decimal places? -7.09 Round 0.0624504 to four decimal places. 0.0625 What is -0.000009363118 rounded to six dps? -0.000009 What is -8858777 rounded to the nearest one million? -9000000 Round 8783210 to the nearest 10000. 8780000 Round -1318900 to the nearest one hundred thousand. -1300000 What is 551.024 rounded to zero decimal places? 551 What is -10.453934 rounded to zero dps? -10 What is -0.016619108 rounded to five decimal places? -0.01662 Round -1005.84 to the nearest one thousand. -1000 Round 42303837 to the nearest 10000. 42300000 What is -503738.22 rounded to the nearest 100? -503700 What is 0.000396062 rounded to six decimal places? 0.000396 What is 0.000103295 rounded to seven decimal places? 0.0001033 Round 8.717021 to 2 decimal places. 8.72 Round 18986920 to the nearest one hundred thousand. 19000000 What is 0.06452562 rounded to 2 dps? 0.06 What is -17698000 rounded to the nearest one million? -18000000 Round -8928.156 to the nearest 100. -8900 What is 0.0381725 rounded to 3 decimal places? 0.038 What is -0.00005809 rounded to four decimal places? -0.0001 What is 73.10407 rounded to the nearest 10? 70 What is -497496000 rounded to the nearest 1000000? -497000000 What is 4647990 rounded to the nearest one million? 5000000 What is -0.41827835 rounded to four decimal places? -0.4183 What is -38.340023 rounded to two decimal places? -38.34 What is -0.0000008198659 rounded to seven decimal places? -0.0000008 What is -14908.506 rounded to the nearest 1000? -15000 Round -0.02097991 to 4 dps. -0.021 Round -504.255 to the nearest 10. -500 What is -0.000000368853 rounded to seven dps? -0.0000004 Round -10.23247 to the nearest integer. -10 What is -12.648748 rounded to 2 decimal places? -12.65 What is 18872.289 rounded to 0 decimal places? 18872 What is -881120000 rounded to the nearest 1000000? -881000000 Round -130.6885 to the nearest integer. -131 Round -13786.2 to the nearest ten. -13790 What is 16904000 rounded to the nearest 1000000? 17000000 What is -0.102935283 rounded to three dps? -0.103 What is -0.001329352 rounded to 4 dps? -0.0013 Round -0.00569065 to 3 dps. -0.006 Round -655739.9 to the nearest 1000. -656000 Round 21.95787 to the nearest integer. 22 What is 5524213 rounded to the nearest one hundred thousand? 5500000 Round -182943.7 to the nearest 100. -182900 Round 252757 to the nearest one thousand. 253000 Round 38.7858 to the nearest ten. 40 What is -0.00596516 rounded to three dps? -0.006 What is -0.190448 rounded to 3 dps? -0.19 Round -1078.654 to the nearest 10. -1080 Round -16045.3 to the nearest 10. -16050 What is 0.065164188 rounded to four dps? 0.0652 What is -0.0000003874486 rounded to seven dps? -0.0000004 Round -0.000029464338 to six dps. -0.000029 Round 0.0000002584161 to 7 decimal places. 0.0000003 What is -2198.3455 rounded to the nearest integer? -2198 What is 45.753 rounded to the nearest 10? 50 What is -18.77496 rounded to 1 dp? -18.8 Round -0.0000010935 to seven decimal places. -0.0000011 What is -0.000416558 rounded to 5 dps? -0.00042 Round 107619.4 to the nearest ten thousand. 110000 What is 0.0003774424 rounded to seven decimal places? 0.0003774 What is 0.0000045460658 rounded to 6
{ "pile_set_name": "DM Mathematics" }
ue Suppose 0 = -2*l + 5*u - 30, -2*u - 46 = 8*l - 3*l. Let d(z) = -7*z + 6. Is 23 a factor of d(l)? False Suppose -19*v + 7542 = -10*v. Suppose -h - 5*s + 159 = -19, s + v = 5*h. Is h a multiple of 8? True Let q(i) = -i**3 + 7*i + 15*i - 3*i**2 - 18*i - 1 + 4. Is 16 a factor of q(-6)? False Let j be 4 - (-52 - (-2 + 3)). Let b = j + -37. Suppose 3*q + 21 = 5*x, 4*x + q - b = 5*q. Does 3 divide x? True Let d = 22 + -28. Let s = -1 - d. Suppose 125 - s = 5*v. Is v a multiple of 8? True Let r = 110 + -110. Suppose -3*x + 0*k + 5*k + 291 = r, 0 = 2*x + k - 207. Does 21 divide x? False Let f be 115/30 + (-3)/(-18). Suppose f*b - 9 - 15 = 0. Suppose v + 0 = b. Does 5 divide v? False Let f(d) = 2*d + 6. Let i be f(-2). Is 8 a factor of (2 - (i + -2)) + 71? False Let m be 188/2 + -2 + 4. Suppose 0 = -17*r + 19*r - m. Does 8 divide r? True Suppose -q + 10 = 4*j - 10, 3*j + 3*q - 15 = 0. Suppose -5 = d - j*k + 10, 2*d + 19 = -k. Let x = 2 - d. Is x a multiple of 6? True Does 57 divide (56/(-12))/((-2)/183)? False Suppose -1227*g = -1220*g - 8988. Is g a multiple of 18? False Let d = 71 + -69. Is 15 a factor of (21/35)/(d/50)? True Let w(j) = -j**2 + 7*j - 6. Let l be w(6). Suppose 0 = -3*k + 4*i - 9 - 1, -2*k - i + 8 = l. Does 17 divide 4/8 - (-33)/k? True Let q(b) = -b**2 + 51*b - 43. Is 5 a factor of q(39)? True Let f(l) = -8*l**2 + l. Let w(n) = 9*n**2 + 1. Let a(t) = -5*f(t) - 4*w(t). Suppose -2*x - 1 = -9. Is a(x) a multiple of 11? False Let r = 2 - -22. Let d = -1 + r. Is d a multiple of 7? False Suppose 0 = -398*v + 393*v - 3930. Let i = 2 + -6. Is 2/i - v/12 a multiple of 14? False Suppose -5*j = 2*b - 333 - 56, 5*j - 393 = -4*b. Is 10 a factor of j? False Let h = 68 + -64. Suppose -h*k + 4*w = -2*k - 8, 0 = -3*k + 2*w + 16. Does 5 divide k? False Let l = -46 - -49. Is 4/(l + 1)*1 + 224 a multiple of 45? True Let d(s) = 51*s + 91. Is 52 a factor of d(4)? False Is (13 - 169)/(8/(-3) - -2) a multiple of 18? True Let s(i) = -10*i - 7. Let x(f) = 10*f + 8. Let g(b) = 4*s(b) + 3*x(b). Let l = 25 + -27. Is 11 a factor of g(l)? False Let a(h) = h**3 + 31*h**2 + 80*h - 37. Is 3 a factor of a(-28)? True Let i(v) = 3*v**2 + 3*v + 159. Is i(-17) a multiple of 72? False Let j(s) = s**3 - 5*s**2 - 8*s + 6. Let a(n) = -n + 13. Let g be a(6). Does 16 divide j(g)? True Suppose h + 4 = 3*h. Suppose -2*c + 2*q = -226, -3*q = -h*c + 128 + 99. Suppose c + 3 = 5*l. Is 11 a factor of l? False Let d = 20 + -6. Suppose -39 = -5*p - d. Suppose 228 = p*t - 3*c, -67 + 11 = -t - 2*c. Does 12 divide t? True Suppose -4*j + 25 = l, l = -3*l - j + 40. Let y(d) be the first derivative of -d**3/3 + 7*d**2 - 2. Is 15 a factor of y(l)? True Suppose 3*l - 173 = -w, -2*l = -5*w + 1062 - 197. Suppose -5*a - 63 = -w. Is a a multiple of 22? True Let m = -37 - -142. Is 15 a factor of m? True Let t(s) = s**3 + 13*s**2 - 13*s + 16. Let m be t(-14). Suppose -m*r = -6*r - 68. Let g = -13 - r. Does 2 divide g? True Suppose 3*f - 5077 = -1786. Let v = 1165 + f. Does 7 divide 2/18 - v/(-54)? True Let g be (7 + -8)/((-1)/11). Let t(b) = -3*b + 3. Let k be t(-4). Let z = k + g. Is 10 a factor of z? False Suppose 0 = -4*f + 5*a - 1 - 0, -5*a + 4 = -f. Is 14 a factor of 95 - (f + -5 - -8)? False Suppose 5*c = 5*f + 30 - 0, 0 = 4*c + 2*f - 18. Suppose -t + 12 = -4*t, -5*m - c*t + 35 = 0. Is m a multiple of 11? True Let j(n) = -n + 28. Let r be j(13). Suppose -l + h + r = 2*l, -11 = -5*l - 3*h. Suppose -2*i = -5*o - l*i + 22, -4*o - 5*i + 21 = 0. Is o a multiple of 4? True Suppose -2*g - 3*d = -0*d - 149, -5*g = d - 353. Is g a multiple of 22? False Let p(u) = 91*u**2 - 2*u - 1. Let n be p(-1). Let x = 52 - -8. Let v = n - x. Does 9 divide v? False Let x(u) be the second derivative of -u**3/2 + 3*u. Let k be (-3 + 1)/(6/15). Is 5 a factor of x(k)? True Suppose 0 = -k + 22 + 20. Suppose r = 55 + k. Is 15 a factor of r? False Let j be (64/(-24))/(1/3). Let q be 3/(-12) - 138/j. Let z = q - -29. Is 23 a factor of z? True Suppose 2*t = -4*j - 2*t - 500, -5*t - 5 = 0. Let f be (-1)/(4/j) + 1. Is 3*(f/12 - 2) a multiple of 2? True Let v(f) = f**3 - 3*f**2 + 2*f + 1. Suppose -2*a - 5*k + 89 = 0, 0 = -4*a - k + 192 - 59. Let w be a/10 - 18/90. Is 4 a factor of v(w)? False Suppose -2*r + 33 = 5*v, -6*v + 11*v + 15 = 0. Is 4 a factor of r? True Suppose 10*u = 3*u + 14. Is 5 a factor of (-2)/(3/(-201)*u)? False Let h(c) = -2*c**3 + 4*c**2 - c - 2. Let r be h(2). Is (-71 + 6)*r/5 a multiple of 13? True Suppose w - 1 + 42 = 0. Let n = -31 - w. Is n a multiple of 6? False Let j(t) = -2*t + 2. Let y be j(-1). Suppose -5*h - 180 = -y*s, 6*s + 4*h = s + 266. Is s a multiple of 9? False Let z = 81 + -76. Let n = 27 - z. Is n a multiple of 11? True Suppose -2*p + 3*p = 0. Suppose p = -3*w - 41 + 80. Is w a multiple of 4? False Let j(d) = 5*d - 24. Let b be j(7). Suppose b*v = 10*v + 46. Let c = v + -14. Is c a multiple of 7? False Let a(g) = 80*g**2 - 11*g - 26. Is 16 a factor of a(-2)? False Suppose 0 = -2*i - 5*z + 65, 0 = -4*i - 5*z + 78 + 47. Is i a multiple of 2? True Let d = 13 + -3. Let q = 12 - d. Let b(a) = a**3 + a**2 + 3*a - 1. Is b(q) a multiple of 17? True Suppose -49*a + 47*a = -720. Does 27 divide a? False Suppose 0 - 4 = -g. Suppose 0*r - 4 = -2*r + 5*w, 0 = -3*r - g*w + 6. Suppose -x - r*b = x - 22, 3*x = 2*b + 8. Is 6 a factor of x? True Let n(g) = g**3 - 1. Let q(a) = -5*a**3 - 2*a**2 - 13*a + 16. Let o(p) = 6*n(p) + q(p). Let w be o(8). Suppose m - w = -4*m. Is 12 a factor of m? False Let l = -32 + 34. Suppose 0 = -k + l*b - b + 64, 2*b - 320 = -5*k. Is k a multiple of 32? True Let c(f) be the first derivative of f**3/3 - f**2 - 2*f + 1. Let l be c(2). Is 10 a factor of (-4)/l + 1 + 10? False Let b(j) = j**3 - 7*j**2 + 7*j - 6. Suppose 4*h = 41 - 17. Let r be b(h). Suppose r = 5*v + 104 - 284. Is v a multiple of 9? True Let n be (-32)/(-12) - (-1)/3. Suppose 0*c + 60 = -n*c. Does 11 divide (c/(-25))/(2/110)? True Is 66 a factor of 1 - (7 + -5 + -6139)? True Let b(h) = -22*h - 23*h + 43*h - 18. Let l be b(-10). Suppose -20 = -l*f + 24. Is f a multiple of 7? False Let m = -26 - -76. Let b = 74 - m. Is b a multiple of 4? True Suppose 436 = 2*l + 30. Suppose l = 5*d + 38. Is 4 a factor of (d/(-9))/((-5)/15)? False Suppose -16*i = -54*i + 34960. Is i a multiple of 7? False Let y = 2625 - 1656. Does 51 divide y? True Let l(o) = -6*o**3 + 3*o**2 + 33 - 3*o**2 - 35. Is 13 a factor of l(-2)? False Suppose 4*t - 55 = -3*l, -l = -0*l + 4*t - 13. Is 23 a factor of l + -18 - (-402)/2? False Let m be (0 - -6 - 4)*2. Suppose 0 = -2*b - 2*n + 10, 3*n + 17 = b + 4*b. Suppose -m*l - 3*y = -325, 2*l + b*y - 160 = -0*y. Is l a multiple of 27? False Suppose -3*y - 2*y - 16 = 3*r, -5*r = 2*y - 5. Suppose 25 = 2*v + 3*d, d + 0 - r = 0. Suppose -5*w = -4*m - 40, -w = -2*w - m + v. Is w a multiple of 8? True Let v(b) be the second derivative of -b**5/20 + b**4/2 - 2*b**3/3 - b**2 + 6*b. Let g be v(5). Suppose -132 = -g*m - 0. Is 15 a factor of m? False Let z = 10 - 14. Let v = z + 11. Suppose v*s + 20 = 8*s. Does 9 divide s? False Let z = 503 + -91. Is z a multiple of 10? False Let k(a) = -10*a + 125. Is k(-10) a multiple of 5? True Suppose 9*d - 391 = 3371. Does 22 divide d? True Let y be (-476)/14*(-7)/(-2). Let q = 209 + y. Is q a multiple of 24? False Suppose -2*i - 9 + 1 = 0. Let r(x) = -3*x**3 + 6*x**2 + 6*x + 1. Let a be r(i). Suppose s + 116 = 3*j - 47, -a = -5*j - 5*s. Does 19 divide j? False Let l be 6/(-18) - 65/3. Let z = l + -73. Let b = z + 139. Is 22 a factor of b? True Let g = -1737 + 2079. Is 9 a factor of g? True Let r be ((-2 - -2) + -4)*3. Let l(j) = -j**2 - 12*j + 15. Is l(r) a multiple of 3? True Let q(j) = 7*j**2 - 10*j + 19. Let t(r) = -r**2 + 1. Let h(m) = q(m) + 6*t(m). Does 4 divide h(10)? False Let j(g) = g**2 - 7*g - 1. Let w be j(8). Let q = w - 18. Let v = 9 - q. Does 15 divide v? False Let t(g) be the third derivative of 0 - 5/24*g**4 + 0*g + 5*g**2 + 0*g**3. Is t(-2) a multiple of 10? True Let f(g) = g**2 - 10*g + 11. Let i be f(10). Suppose -2*a + i = -67. Let y = -11 + a. Is 4 a factor of y? True Suppose 9*i - 6*i = 18. Does 2 divide ((-6)/i)/((-1)/7)*2? True Let r(c) = -7*c + 4. Let d be r(1). Let u(z) = -4*z**3 - 3*z**2 - 3*z. Does 18 divide u(d)? True Suppose 2*r - 31 = -15. Suppo
{ "pile_set_name": "DM Mathematics" }
are there in one tenth of a kilogram? 100000 What is five eighths of a litre in millilitres? 625 How many minutes are there in thirteen fifths of a hour? 156 What is 15/4 of a day in minutes? 5400 Convert 42070.84 years to millennia. 42.07084 Convert 11.09525 micrometers to centimeters. 0.001109525 What is 1.538883 millimeters in micrometers? 1538.883 Convert 359.756mm to kilometers. 0.000359756 What is 93.27451 millennia in decades? 9327.451 What is 31/2 of a decade in years? 155 What is 60196.02s in microseconds? 60196020000 How many meters are there in sixty-four fifths of a kilometer? 12800 What is 988.4009 microseconds in nanoseconds? 988400.9 How many litres are there in 6617.83ml? 6.61783 Convert 0.5018566ml to litres. 0.0005018566 What is two fifteenths of a hour in seconds? 480 Convert 78.34921 years to months. 940.19052 How many centimeters are there in 621.9046 kilometers? 62190460 What is 8/3 of a decade in months? 320 What is fifty-five quarters of a litre in millilitres? 13750 How many milligrams are there in thirteen eighths of a gram? 1625 How many grams are there in 816706.7ug? 0.8167067 How many hours are there in 5/24 of a week? 35 How many centimeters are there in 51/4 of a meter? 1275 How many decades are there in 27.873273 months? 0.232277275 Convert 0.5896505 centimeters to nanometers. 5896505 How many hours are there in one sixth of a day? 4 How many centimeters are there in nine tenths of a kilometer? 90000 Convert 0.4942504kg to grams. 494.2504 How many milliseconds are there in 5266.667 days? 455040028800 What is one tenth of a gram in milligrams? 100 What is 18095.47 millennia in months? 217145640 What is 337.8508 millilitres in litres? 0.3378508 What is 5/24 of a decade in months? 25 What is 7/3 of a year in months? 28 How many centuries are there in 6/5 of a millennium? 12 How many micrograms are there in 717.443 kilograms? 717443000000 How many months are there in six fifths of a millennium? 14400 How many nanometers are there in 3/25 of a micrometer? 120 What is one sixteenth of a day in minutes? 90 How many meters are there in 1/4 of a kilometer? 250 How many milliseconds are there in 3/25 of a second? 120 What is 0.4629825 centuries in years? 46.29825 How many micrograms are there in 3/5 of a milligram? 600 How many milliseconds are there in three eighths of a minute? 22500 How many years are there in 18/5 of a decade? 36 How many milligrams are there in three eighths of a gram? 375 What is 7/4 of a tonne in kilograms? 1750 Convert 560.9143 litres to millilitres. 560914.3 How many nanograms are there in thirteen fifths of a microgram? 2600 What is 1/10 of a centimeter in millimeters? 1 What is 1088283.6 minutes in days? 755.7525 What is 868802.76 minutes in weeks? 86.19075 How many milligrams are there in 3/40 of a kilogram? 75000 What is one twentieth of a litre in millilitres? 50 How many millilitres are there in 11/4 of a litre? 2750 What is five quarters of a microgram in nanograms? 1250 What is one quarter of a milligram in micrograms? 250 What is one fifth of a litre in millilitres? 200 What is 3.936994 meters in kilometers? 0.003936994 What is 7477.871cm in millimeters? 74778.71 Convert 0.3446007l to millilitres. 344.6007 How many millilitres are there in 8/25 of a litre? 320 What is 13/4 of a litre in millilitres? 3250 What is 19.85072 minutes in milliseconds? 1191043.2 How many millilitres are there in 7591.971l? 7591971 How many millilitres are there in 1/10 of a litre? 100 How many microseconds are there in 483.6109s? 483610900 How many micrometers are there in 21/8 of a millimeter? 2625 What is thirty-seven halves of a millennium in decades? 1850 What is 15/4 of a litre in millilitres? 3750 How many meters are there in 26/5 of a kilometer? 5200 Convert 90.4384 centuries to years. 9043.84 How many hours are there in 609.99831s? 0.169443975 What is 3/8 of a kilogram in grams? 375 What is 21/8 of a kilogram in grams? 2625 What is 21/2 of a litre in millilitres? 10500 What is 0.6681561ug in grams? 0.0000006681561 How many decades are there in 590.5 centuries? 5905 What is 3/25 of a week in seconds? 72576 How many months are there in five eighths of a millennium? 7500 How many litres are there in 813518.1 millilitres? 813.5181 What is 0.5459144l in millilitres? 545.9144 What is six fifths of a litre in millilitres? 1200 What is 61.4165 minutes in nanoseconds? 3684990000000 Convert 12532.12 centuries to millennia. 1253.212 What is twenty-three eighths of a week in hours? 483 How many microseconds are there in twenty-one halves of a millisecond? 10500 Convert 39674.96 milligrams to tonnes. 0.00003967496 Convert 736363.71 milliseconds to hours. 0.204545475 What is 21/8 of a kilometer in meters? 2625 What is three fifths of a litre in millilitres? 600 What is fifty-one halves of a year in months? 306 How many seconds are there in seven eighths of a hour? 3150 What is 7075.432 millilitres in litres? 7.075432 Convert 2121.9891ns to minutes. 0.000000035366485 Convert 52599.78g to milligrams. 52599780 What is 256.9343 centuries in decades? 2569.343 What is 17/10 of a micrometer in nanometers? 1700 How many months are there in 5/4 of a year? 15 How many millilitres are there in 6632.97 litres? 6632970 How many nanoseconds are there in 11/4 of a microsecond? 2750 How many milliseconds are there in 92.0219 nanoseconds? 0.0000920219 What is one quarter of a kilogram in grams? 250 How many millilitres are there in twenty-five halves of a litre? 12500 How many millimeters are there in 682.4549 meters? 682454.9 What is 295.5251g in nanograms? 295525100000 What is ten thirds of a year in months? 40 How many micrometers are there in twenty-one fifths of a centimeter? 42000 How many millimeters are there in 43/4 of a meter? 10750 What is 6.573821 millennia in decades? 657.3821 Convert 73.66271 nanograms to milligrams. 0.00007366271 What is 0.2575305cm in millimeters? 2.575305 How many millilitres are there in seven halves of a litre? 3500 How many grams are there in 7/8 of a kilogram? 875 What is 325787.3 centimeters in millimeters? 3257873 Convert 493542.1ml to litres. 493.5421 What is eleven halves of a micrometer in nanometers? 5500 What is 21.5562789 nanoseconds in days? 0.00000000000024949396875 How many nanoseconds are there in 879.1414 milliseconds? 879141400 What is thirty-four fifths of a centimeter in micrometers? 68000 What is 7823.262 millilitres in litres? 7.823262 What is 11/4 of a microgram in nanograms? 2750 How many months are there in three fifths of a millennium? 7200 What is 70957.84 minutes in seconds? 4257470.4 What is one fifth of a litre in millilitres? 200 What is 25/8 of a millimeter in micrometers? 3125 What is thirty-four fifths of a microgram in nanograms? 6800 What is one tenth of a tonne in grams? 100000 What is 45/4 of a millennium in decades? 1125 How many millilitres are there in thirteen eighths of a litre? 1625 What is 927023.9 years in months? 11124286.8 How many millilitres are there in three tenths of a litre? 300 How many millilitres are there in 0.5056195 litres? 505.6195 How many litres are there in 7928.691 millilitres? 7.928691 How many meters are there in three eighths of a kilometer? 375 What is 60174.85 grams in milligrams? 60174850 How many nanoseconds are there in 1.241426 days? 107259206400000 What is eighteen fifths of a day in minutes? 5184 How many millilitres are there in 3/25 of a litre? 120 Convert 179163.39us to minutes. 0.0029860565 How many days are there in 2056892.4 minutes? 1428.3975 How many centuries are there in 1.334855 years? 0.01334855 How many months are there in 2559.978 decades? 307197.36 How many months are there in thirteen quarters of a year? 39 What is 11/8 of a litre in millilitres? 1375 How many meters are there in 672299.2 micrometers? 0.6722992 Convert 3538.103 kilograms to milligrams. 3538103000 Convert 0.860033l to millilitres. 860.033 Convert 853.2085 years to millennia. 0.8532085 How many decades are there in 16168.815 months? 134.740125 How many milligrams are there in three eighths of a gram? 375 What is three tenths of a microgram in nanograms? 300 Convert 238067.6l to millilitres. 238067600 How many minutes are there in five eigh
{ "pile_set_name": "DM Mathematics" }
d. Calculate the remainder when r is divided by 23. 22 Let f(j) = -j**2 + 3*j - 2. Let l be f(2). Suppose 0 = h + 3, 4*c + c - 4*h - 182 = l. What is the remainder when c is divided by 12? 10 Suppose -5*o + 24 = -2*q - 27, 0 = 3*o + 4*q - 41. What is the remainder when o is divided by 6? 5 Let j be (1 - 0) + -2 + 4. Suppose 0*m = -j*z - m + 32, -1 = m. Suppose -7*y = -4*y - 96. What is the remainder when y is divided by z? 10 What is the remainder when 43 is divided by -2 + 3 + 2*5? 10 Suppose 0 = -11*b + 5*b + 24. Calculate the remainder when 11 is divided by b. 3 Let j = 19 + -12. Suppose -5*c - 2*l + 6 = -8, 2*c + 7 = -5*l. Suppose 0 = c*d - 5*g - 11, -1 = -d + 2*g + 1. What is the remainder when j is divided by d? 3 Suppose i = -2*i + 18. Suppose 2*t + 4 = 3*n + 15, -3*t - 3*n - i = 0. Calculate the remainder when 1 is divided by t. 0 Suppose 3*a - 2*a = 28. What is the remainder when 83 is divided by a? 27 Let h be (-51)/2*12/9. Let o = h - -49. Calculate the remainder when 43 is divided by o. 13 Suppose -2 = l - 6. Calculate the remainder when l is divided by 4. 0 Let b = -109 + 148. What is the remainder when b is divided by (3 + -1)/(2/21)? 18 Let x = -5 - 2. Let w = x - -16. What is the remainder when 26 is divided by w? 8 Suppose 0*j = 3*j - 237. Calculate the remainder when j is divided by 20. 19 Suppose -2*c + 1 = -5*j - 9, 0 = -c. Let a(z) = -z**3 - 6*z**2 - 6*z + 6. Calculate the remainder when j/7 - (-904)/28 is divided by a(-5). 10 Suppose 0 = 3*u - 4*u + 19. Let z = 42 - u. Calculate the remainder when z is divided by 12. 11 Let c(r) = r**3 - r**2 - r + 26. Let a = 0 - 0. Calculate the remainder when 50 is divided by c(a). 24 Let s be (-2)/3*(0 - 3). Suppose 21 = 5*g + a, -g + 19 - s = -3*a. Suppose 4*z + 8*y + 2 = 3*y, 3*y - 4 = -5*z. Calculate the remainder when g is divided by z. 1 Suppose -6*b + 8 = -2*b. Suppose 100 = b*g + 2*g. Calculate the remainder when 48 is divided by g. 23 Let z = 15 - 5. Suppose 5 = 5*m - 5*s, 2*m - 11 = -3*s + 1. What is the remainder when z is divided by m? 1 Suppose 29 = 3*w - 10. Let n be ((-12)/1)/(12/(-56)). Let d = 107 - n. Calculate the remainder when d is divided by w. 12 Suppose 2*y - 164 = -4*j, -y + 69 = 3*j - 55. Suppose -2*u - 3*k - j = k, 2*u - k = -57. Let q = -15 - u. Calculate the remainder when q is divided by 7. 5 Let g = -33 - -46. Suppose 0 = -5*b + 10 + 5. Suppose b*f = 2*f + 37. Calculate the remainder when f is divided by g. 11 Suppose -65 - 1 = -2*l. Calculate the remainder when 42 is divided by 4/(36/l)*3. 9 Let i = -19 + 29. What is the remainder when 58 is divided by i? 8 Let y(v) = 0*v + 6*v + 4*v**2 + 3 - 4 - 5*v**2. Let a be y(4). Suppose 5*o + 3*z = 30, -o + z = -a - 7. Calculate the remainder when o is divided by 5. 4 Let u(r) be the third derivative of r**5/30 + r**4/8 + r**3/6 - 3*r**2. What is the remainder when 28 is divided by u(-3)? 8 Let d(m) = m**3 + 9*m**2 - 2*m - 10. Calculate the remainder when 25 is divided by d(-9). 1 Suppose 26 = 3*a - 5*q, q - 33 = -5*a - q. Let u(b) be the first derivative of 3*b**2/2 - 5*b + 1. Calculate the remainder when u(6) is divided by a. 6 Suppose o - 4*o + 36 = 0. Let n be 1 + -1 - o/(-1). Let u = n + -7. Calculate the remainder when 19 is divided by u. 4 Suppose 140 = 28*n - 24*n. Calculate the remainder when 68 is divided by n. 33 Let i = -154 - -280. What is the remainder when i is divided by 32? 30 Let a = -6 + 9. Suppose -a*j - 2*j = -15. Suppose -j*o = 6, -3*o + 8*o - 75 = -5*r. Calculate the remainder when 66 is divided by r. 15 Suppose 0*p + 4 = 2*p. Suppose -p*g = -g. Suppose -22 = -g*h - 2*h. Calculate the remainder when 20 is divided by h. 9 Let c = 102 - 87. Calculate the remainder when 55 is divided by c. 10 Let l(u) = 7*u**2 - 2 + 2*u**2 + u**3 + 5 + 0*u**3. What is the remainder when 8 is divided by l(-9)? 2 Let t(u) = u**3 - 5*u**2 - 4*u - 2. What is the remainder when 17 is divided by t(6)? 7 Let s = 11 + -11. Suppose -3*g = 2*g - 10. Suppose -g*q + s = -4. Calculate the remainder when 5 is divided by q. 1 Let p(x) = -x + 1. Let z be p(-2). Suppose -w = z*w - 32. Suppose g + 2*i = 6*g + 3, i = -4*g + w. What is the remainder when g is divided by 1? 0 Let j = -2 - -13. What is the remainder when j is divided by 2/(-41) - 250/(-82)? 2 Let m(c) = 4*c**3 - 16*c**2 - 4*c - 14. Let a(j) = 3*j**3 - 15*j**2 - 4*j - 14. Let s(h) = 5*a(h) - 4*m(h). What is the remainder when s(-11) is divided by 16? 14 Suppose 0 = -2*r - 3*p - 1, -4*r + 2*p = -3*p - 31. Calculate the remainder when (0 - -15)*(-4)/(-10) is divided by r. 2 Let i(a) = -a**3 + 4*a**2 + 7*a - 6. Let p be i(5). Suppose p*x + 6 = x. Calculate the remainder when 27*((-4)/x - 1) is divided by 7. 6 Suppose -y = k - 43, 4*k + y = 2*y + 182. What is the remainder when k is divided by 12? 9 Suppose 2*n - 7*n + 25 = 0, -120 = -3*s - 3*n. Calculate the remainder when s is divided by 13. 9 Let o(m) = -m**3 - 6*m**2 - 6*m. Calculate the remainder when 18 is divided by o(-5). 3 Let j(s) = 3*s**2 + 8*s + 5. Suppose -82 = -3*b - 4*z, 2*z + 0*z = -4*b + 96. Calculate the remainder when j(-6) is divided by b. 21 Suppose 3*z + 3*g = -7 - 2, 3*z + g = -1. Let d = 6 + z. What is the remainder when d is divided by 0 - -2 - (-2 - -1)? 1 Suppose 5*u + 44 - 14 = 0. Let k = u + 9. What is the remainder when k is divided by 1? 0 Let g = -11 + 28. Suppose -h + 15 = -g. What is the remainder when h is divided by 17? 15 Suppose -5*u - 25 = 0, 5*m + 4*u + 16 = 81. Let p(w) = 2*w + 1. Calculate the remainder when m is divided by p(4). 8 Let t be (-6)/(-9)*-3*-2. Suppose -3*q - 16 = -t*q + 2*r, q + 2*r = -4. Suppose -4*b + q = -86. Calculate the remainder when b is divided by 13. 10 Suppose l - 31 = 19. Suppose 3*a - 41 = -2*m, -3*m + 2*m = -3*a + 2. Calculate the remainder when l is divided by m. 11 Let l = -21 + 23. Let h(b) = -b**2 - 4*b + 5. Let z be h(-5). Suppose 0 = r - z*r - 2. Calculate the remainder when l is divided by r. 0 Suppose 79 - 189 = -5*u. What is the remainder when u is divided by -16*((-52)/65 + (-3)/(-60))? 10 Calculate the remainder when 43 is divided by 3/(-30) + (-1768)/(-80). 21 Suppose 0 = 5*j + 5*d + 43 - 133, 2*j + 3*d - 41 = 0. Calculate the remainder when 62 is divided by j. 10 Let t = -79 + 49. Let k = -7 - t. Let v = 9 - 1. What is the remainder when k is divided by v? 7 Let g = 13 - 6. Let r(y) = -y**2 + 13*y + 33. Calculate the remainder when r(14) is divided by g. 5 Let d(o) = -o + 5. Let s be d(5). Suppose 2*w + s*w = 162. Suppose 0*v = -3*v + w. What is the remainder when v is divided by 14? 13 Let u be ((-2)/2)/(1/(-2)). Suppose -3*h + 175 = -q, 3*h - 292 = -2*h + u*q. Calculate the remainder when h is divided by 20. 18 Suppose k + 2*k - 12 = 0. Let m(i) = 9*i - 2. Let u be m(k). Suppose -2*w + 28 + u = 0. Calculate the remainder when w is divided by 11. 9 Let j(d) = 2*d**2 + 6*d + 8. Suppose -4*z - 12 = -0*z. Let o(x) = x**2 + 3*x + 4. Let g(y) = z*j(y) + 7*o(y). What is the remainder when 29 is divided by g(-4)? 5 Suppose -4*q + 9 = -47. Suppose 2*i = 16 + q. Calculate the remainder when i is divided by 8. 7 Suppose -2*p + 112 = 3*n + 23, 0 = -5*p + n + 197. What is the remainder when p is divided by (-136)/(-10) - 6/(-15)? 12 Let m = -61 + 74. Let f be (-2)/(304/(-150) + 2). Calculate the remainder when -3*3/((-27)/f) is divided by m. 12 Suppose -4*f + 5*f - 5 = 0. Let n(i) = i**3 + 5*i**2 + 3*i - 2. What is the remainder when n(-3) is divided by f? 2 Let l = -7 + 4. Calculate the remainder when ((-2)/l)/((-4)/(-162)) is divided by 15. 12 Let j(r) = -r + 7. Calculate the remainder when j(0) is divided by 2. 1 Suppose -f - 12 = -70. Suppose -26 - 29 = -4*v + c, -4*v + 65 = c. What is the remainder when f is divided by v? 13 Suppose 3*m - 4 - 8 = 0. Suppose 44 = m*g - 2*w, w + 8 = 3*w. What is the remainder when g is divided by 5? 3 Let l be (-106)/9 - (-2)/(-9). Let u(c) = -3*c - 10. Calculate the remainder when u(l) is divided by 7. 5 Suppose 465 = 3*p + 4*c, p + 3*c - 2*c = 156. Let v = p - 72. Calculate the remainder when v is divided by 30. 27 Calculate the remainder when 66 is divided by (-12)/8*(0 - (-76)/(-6)). 9 What is the remainder when 5/(-2*2/(-16)) is divided by -3*2/18 + (-68)/(-6)? 9 Let a = -12 + 5. Let z = 15 + a. Calcula
{ "pile_set_name": "DM Mathematics" }
3 + 4*l)*(-20 + 4 - 30) in the form z*l + w and give z. -187 Express 2620 - 276*o - 2620 in the form q*o + i and give q. -276 Express -2*j**4 - j + 31*j**3 - 65*j**3 + 31*j**3 + 8 in the form w + k*j + o*j**4 + p*j**2 + c*j**3 and give o. -2 Rearrange (-2*y**2 + y**2 + 3*y**2)*(-91*y - 47*y + 8 + 144*y) to x*y**2 + q*y + o*y**3 + s and give o. 12 Express g - g + 4*g + 508 - 241 - 5*g as a + s*g and give a. 267 Express -4 + 5 - 12 - 4*h + 0 as r*h + k and give r. -4 Rearrange 19*r**3 - 3*r - 9*r**3 + 4*r**2 - 11*r**3 to u*r**2 + h + j*r**3 + w*r and give u. 4 Express (-12*q - q - 2*q)*(-2 - 10 - 14)*(-1 + 3 - 3) in the form z*q + u and give u. 0 Express (-487 + 544*m - 241 + 723)*(-5*m + 6*m + m) in the form i + o*m + a*m**2 and give a. 1088 Rearrange -3*w**2 - 842 + 49*w**3 + 2*w**2 + 846 to m + z*w + h*w**3 + v*w**2 and give v. -1 Rearrange (5*g + 2*g - 5*g)*(22*g**2 + 34*g - 34*g) to z*g + v + f*g**3 + n*g**2 and give z. 0 Express (-2*o + o + 3*o)*(0 - 3*o + 0) + 762*o - 1511*o + 750*o - 17*o**2 in the form s*o**2 + l + z*o and give z. 1 Rearrange (-3 + l + 3)*(-121*l**2 - 102*l + 102*l) - 2*l**3 - 3 + 3 to o + f*l + a*l**2 + u*l**3 and give u. -123 Rearrange -172*t**3 - 3*t**2 + 4 + 5*t**2 + 1 + 174*t**3 + 2*t + 0*t to the form g*t**3 + i + f*t**2 + v*t and give v. 2 Rearrange 81*s - 100*s + 161*s + 2 to k + h*s and give h. 142 Rearrange -15*h**2 - 11*h**2 - 8*h**2 + 83 + 31*h**2 + 2*h to r*h + d*h**2 + t and give t. 83 Rearrange -m - 12*m**2 - 26 + m**3 - 7*m + 2*m + 2*m + 3*m to u*m + z + p*m**2 + r*m**3 and give u. -1 Rearrange -3*z**3 - 9*z**2 + 8*z**2 - 13*z**3 + (-5*z + 0*z + 4*z)*(-8*z**2 - 3*z + 3*z) to t*z + n*z**2 + x*z**3 + b and give n. -1 Rearrange -34*a**4 + 36*a**4 - 2*a**2 + 5 - 3*a**2 to f*a**2 + d*a + m*a**4 + p + q*a**3 and give f. -5 Rearrange -6*d + 29*d - 30*d - 35*d to v*d + a and give v. -42 Express -11*b**2 - 8*b - 3*b**2 + 3*b + 7*b - 1 as a*b + t*b**2 + w and give a. 2 Express -15*s - 23 + 432 - 206 + 17*s + 89 in the form b + o*s and give o. 2 Express -548*j + 0*j**3 - 5*j**3 + 7*j**3 as a*j**3 + w*j + q*j**2 + s and give w. -548 Express v + 1 - 1 + (2 + v - 2)*(6 - 2 - 2) + 4*v - 47*v - 31*v as m*v + d and give m. -71 Rearrange -w - 67 + 37 - 100 - 79 + 42 to a + h*w and give a. -167 Express (-2*q - 4*q + 4*q)*(-502 + 2247 + 2589 - 961)*(2*q**2 - 2*q + 2*q) as n + z*q**3 + c*q + m*q**2 and give z. -13492 Rearrange -9*k**2 - 2*k**2 + 4*k**3 - 14*k**3 + 15*k**2 - 3*k to the form t*k + o*k**3 + m*k**2 + u and give o. -10 Rearrange 297*z - 18 - 11 + 5 + 22 to the form v*z + w and give v. 297 Rearrange 91 - l**3 - 5*l**2 - 17 + 6*l**2 to m*l**2 + p*l**3 + b*l + u and give m. 1 Express (8*f + 47*f - 3*f)*(0*f + f**3 + 0*f) + (-1 - f + 1)*(-2*f**3 + f**3 + 2*f**3) as g*f**3 + h*f**2 + k + p*f**4 + j*f and give p. 51 Rearrange -97*b**3 - 88*b + 169*b - 3*b**2 - 83*b + 2*b**2 to s + h*b**3 + u*b**2 + l*b and give u. -1 Express 0*z**3 + 2*z**4 + 2*z - 523522*z**2 + 2*z**3 - 1 + 523526*z**2 in the form a + x*z**4 + i*z**2 + c*z + p*z**3 and give p. 2 Rearrange 12*o + 16 - 16 + (-3*o + 6*o - o - 1)*(-5 - 4 - 5) to the form k + g*o and give k. 14 Express 13*z**3 - 5*z**2 + 18*z**4 - 7*z**4 + 5*z**3 - 9*z**4 as i*z**2 + o*z**4 + a*z**3 + v*z + j and give o. 2 Express 0*l**2 - 4 - 11*l**2 + 21*l + 4*l**2 - 16*l + 6*l**2 as h + v*l**2 + a*l and give v. -1 Rearrange (-4 + 1 + 4)*(39*q**3 + 49*q**3 + 83*q**3) to z*q**3 + l*q**2 + f*q + w and give l. 0 Express 40*t**2 + 87*t**2 - 110*t**2 - 16 in the form m*t**2 + l + h*t and give l. -16 Rearrange -87*c**3 + 719*c**3 + 2*c + 0 + 2 - 48*c**3 - 3 to the form v + h*c**2 + n*c**3 + k*c and give n. 584 Express (7*v**3 + 5*v**2 - 5*v**2)*(-7*v + 4*v + 15*v)*(1 + 0 - 3) in the form i*v**2 + p*v**3 + l*v + d + q*v**4 and give q. -168 Rearrange 3*a**4 + 13*a**3 - 4*a**2 + 3*a**2 - 36 + a**2 + 34 to u*a**4 + f*a**2 + p + v*a**3 + s*a and give u. 3 Express -5*v + 89*v - 25 + 26 in the form u*v + x and give x. 1 Rearrange -21*d - 34*d - 80*d to the form c*d + s and give c. -135 Express 162 - 494 + 166 + 166 + 2235*h as i + z*h and give z. 2235 Rearrange -5900*v**2 + 2 + 17*v - 5902*v**2 + 11806*v**2 to the form n + k*v**2 + r*v and give n. 2 Rearrange (-8 - 6 - 4)*(-3 + 3 + 4*z) + (4 - 2 + 0)*(-z + 3*z - z) - 4*z + 3*z + 3*z + 2*z - 2 + 2 to v*z + k and give v. -66 Express 4*s**3 - 29*s**2 + 5*s**3 + 6*s**3 - 26*s + 29*s**2 in the form i*s + x*s**2 + t*s**3 + o and give i. -26 Rearrange -157*o - 165*o - 151*o + 111*o - 5 + 3 to the form r + w*o and give r. -2 Express -65*q**2 - 310*q**2 - 93*q**2 - 127*q**2 in the form v*q + n + d*q**2 and give d. -595 Express (2*b**3 + 2*b**3 - b**3)*(-176 + 607*b + 176)*(-2 + 2 - 1) as i*b + f*b**4 + q*b**3 + g + h*b**2 and give f. -1821 Express -190 + 7*g**2 + 383 - 189 - g - 3*g**2 as l*g**2 + h + f*g and give l. 4 Express -537*l - 375*l + 11*l - 490*l as y + k*l and give k. -1391 Rearrange 3*h - h - 3*h - 2*h - h + 6*h + (0*h - h - h)*(2 - 2 - 3) + (4*h - h - 5*h)*(3 - 1 - 3) + 4 - h - 4 + 28*h - 215*h - 58*h to s + q*h and give q. -236 Rearrange (-2*t - 1 + 1)*(11198 - 11198 + 316*t**2) to the form j*t + q*t**2 + n + h*t**3 and give j. 0 Express -114 + 96 + p + 175 - 2*p + 269 + p**2 as d + a*p + n*p**2 and give d. 426 Rearrange (9*i**3 - 4*i**3 + 12*i**3)*(13 + 4 - 13)*(2*i - 2*i - 2*i) to the form o*i**4 + z*i**2 + d*i + x*i**3 + y and give o. -136 Express (-1 - 27*u**2 + 9*u**2 + 9*u**2)*(38*u - 83*u + 42*u) as g*u + i + f*u**2 + l*u**3 and give l. 27 Express 29 - g + 85*g**2 - 20 - 6 in the form d + j*g**2 + w*g and give j. 85 Rearrange -3*x**3 - 17*x + 7*x + 10*x + 2 to o*x**3 + m*x + u + z*x**2 and give m. 0 Rearrange (5*b**2 + 4*b**2 - 4*b**2)*(-110*b**2 + 638*b + 29*b**2 + 42*b**2 + 38*b**2) to d + n*b**2 + v*b + y*b**3 + a*b**4 and give y. 3190 Express (-6*x + 14*x + 43*x)*(-2 - x + 2) + (-2*x - 4*x + 3*x)*(1 - 5 + 1)*(-4*x + 0*x + 2*x) as c*x**2 + l + s*x and give c. -69 Rearrange (105*j**2 + 387*j**2 + 140*j**2 + 35*j**2 - 16*j**2)*(-j + j - 2*j**2) to v*j**3 + m*j**4 + x + u*j + q*j**2 and give m. -1302 Rearrange w**2 - 2*w + w**4 + 0*w**2 - 38 + 29*w**3 - 32*w**3 to b*w**2 + k*w**3 + j*w**4 + x + q*w and give x. -38 Express f**3 - 21*f**2 - 2*f**4 - 7*f**2 + 14*f**2 in the form a*f**4 + l + r*f**2 + t*f**3 + s*f and give t. 1 Express -6*a + 1 + 78*a**4 - 4*a**2 + a**2 - 77*a**4 in the form u + z*a**2 + r*a**4 + x*a + g*a**3 and give x. -6 Rearrange 100*j**2 - 2*j**3 - 6 - 46*j**2 + 2*j + j**4 - 53*j**2 to the form d*j**4 + x + b*j + i*j**3 + y*j**2 and give d. 1 Express 19*c**2 - 2*c**2 - 4*c**2 + 5*c**2 + c**2 - 6 as m + a*c + t*c**2 and give m. -6 Rearrange 14*h + 38*h - 6*h + 2*h - 1 + 1 - h - 3*h + 2*h + (5 - 4 + 0)*(h + 3 - 3) + 2*h - 2*h + h to r*h + u and give r. 48 Rearrange d**4 + 0*d**2 + d**3 + 42 - 44 - 3*d**2 to r + a*d + v*d**2 + u*d**3 + z*d**4 and give z. 1 Express -2*a - a**3 - 4 - 288*a**2 + 4*a**3 + 290*a**2 + a**3 as q + x*a + f*a**3 + o*a**2 and give o. 2 Express 203 - g**3 - 2*g**3 - 160 + 5*g**3 - 94 as p*g**3 + t*g**2 + k*g + w and give p. 2 Express 3*f - 5*f + 3*f + (44 + 103 + 62)*(3 - 3 + 2*f)*(3 - 1 - 3) as a*f + k and give a. -417 Express 159*a - 97*a - 1 + 120*a as g + s*a and give g. -1 Rearrange 4*i**4 - 2*i**3 + 7 + 2*i - 6 + 3 - 2 + 14*i**2 to g*i**3 + z + o*i**2 + c*i + p*i**4 and give c. 2 Express (3 - 4 + 6)*(-2*i - 2*i + 6*i) + (5 - 3 - 7)*(-5*i + i + 2*i) + (-7*i + 3*i + 2*i)*(-3 + 1 + 4) + 0*i + 5*i - 3*i in the form y + b*i and give b. 18 Express 18*c - 5*c**2 - 1 - 9*c**2 + 2 - 30*c + 15*c as m + w*c + t*c**2 and give t. -14 Express (-4 + 0 + 5)*(-41*w + 119860 - 119860) in the form v + r*w and give r. -41 Express (178 + 75 - 20)*(9*r**2 - r - 9*r**2 + 4*r**3) as q + f*r**3 + t*r**2 + c*r and give t. 0 Express (-457*o**2 - 61*o**2 - 685*o**2)*(-3*o + o + 0*o) as i + w*o + a*o**3 + m*o**2 and give a. 2406 Express (3 - v**2 - 3)*(-76 + 172 - 76)*(4*v + 1 - 1) in the form q*v + n + l*v**2 + i*v**3 and give i. -80 Rearrange -374*l - 184 + 184 to n + y*l and give y. -374 Rearrange -2*r**2 + 24 - 27 - r**2 - 9*r**3 - r**4 - r**2 + 6*r**2 - r to the form g*r**2 + d*r**4 + k + q*r + p*r**3 and give q. -1 Express 636*a**2 + 0*a - 169*a**2 + 0*a as w*a + k + p*a**2 and give p. 467 Express (-2 - 2 + 2)*(-
{ "pile_set_name": "DM Mathematics" }
) = i**2 + 2*i + 3. Let z be n(-2). Suppose 2*v - 175 = -z*v. Does 10 divide v? False Suppose -52 = -2*q + 32. Is q a multiple of 14? True Let f(y) = 2*y**3 + 2*y - 2. Let q be f(3). Let n = q + -25. Suppose 5 = g - n. Is g a multiple of 19? True Let i(r) = r**2 + 3*r + 4. Let n be i(-3). Let a = -2 + n. Suppose -a = 2*j - 28. Is j a multiple of 8? False Let j(k) = -1. Let d(u) = -2*u - 1. Let m(r) = d(r) + 6*j(r). Let o = -10 - -4. Is 5 a factor of m(o)? True Let b(t) = t**2 + t - 1. Let o(y) = 4*y**2 + 7*y - 7. Let h(j) = -3*b(j) + o(j). Let f be h(-6). Suppose 16 = g - f. Does 24 divide g? True Let k(o) = o - 3. Let r be k(-3). Let a(s) = -s**3 - 4*s**2 + 5*s + 3. Is a(r) a multiple of 18? False Suppose 2*y - y + 46 = 0. Let q(r) = -r**3 + 5*r**2 - 4*r + 2. Let v be q(4). Does 12 divide y*(v + (-5)/2)? False Suppose -3*f - 4*x + 3*x = -366, 2*x = f - 122. Is 35 a factor of f? False Suppose 6*l + 158 = 8*l. Does 31 divide l? False Let y(o) = 7*o + 10. Is y(5) a multiple of 14? False Suppose -t = 1, -2*t = 4*r - 7*t - 1. Let s(x) = 4*x - 3. Let l(u) = 3*u - 2. Let i(q) = -8*l(q) + 5*s(q). Is 4 a factor of i(r)? False Let d be (0/(-1))/(0 - -2). Suppose d = -3*a + 44 + 1. Is a a multiple of 15? True Is 26 a factor of 2/9 + (-19740)/(-108)? False Let a = 112 + -21. Does 13 divide a? True Let s(i) = 36*i**3 + i**2 - 2*i + 1. Does 18 divide s(1)? True Let h(s) be the third derivative of s**4/12 + s**3/6 + s**2. Let j be h(4). Let i = j - -16. Does 25 divide i? True Let o(v) = -1 + 5 - v + 2*v. Let s be o(8). Suppose -4*k + 68 = -4*u, 5*u - 77 = -5*k - s. Is 15 a factor of k? True Let o(d) = 5*d**2 + 5*d + 5. Let a be o(4). Suppose 4*c - c - 120 = 4*p, -3*c - p = -a. Does 21 divide c? False Let z = 1 - -1. Suppose -z*f - w + 4 = -7, 2*f - 7 = -5*w. Does 3 divide f? True Suppose 54 = 3*i - 162. Let t = i + -26. Is t a multiple of 23? True Suppose 0 = 6*m - 262 - 8. Is 9 a factor of m? True Let z be 36/10 - 6/(-15). Suppose -2*l + 67 + 45 = z*f, 9 = 3*f. Is 18 a factor of l? False Let i = 25 - 9. Let t be (8/(-6))/((-1)/(-18)). Does 10 divide 47/3 + i/t? False Let z = 42 - -6. Is 36 a factor of z? False Let s(d) = 40*d**2 + 4*d - 2. Does 14 divide s(1)? True Let s(p) = -3*p - p**3 - 3 + 4*p + 8*p**2 - 4*p - 2. Is 13 a factor of s(7)? False Let n = 348 + -153. Is 39 a factor of n? True Does 5 divide ((-176)/20)/(2/(-5))? False Let n(m) = 4*m**3 + 2*m**2 - 3*m - 3. Is n(4) a multiple of 36? False Let n(i) = 26*i**3 - i**2 + i. Is n(1) a multiple of 13? True Let f(x) = 2*x + 94. Does 34 divide f(0)? False Suppose -4*v + 5*n + 808 = -0*n, -5*v + 1055 = 5*n. Does 23 divide v? True Let m(a) = 5*a**2 + 2*a - 3. Let s be m(2). Let f = s + -12. Does 9 divide f? True Suppose 5*d - 28 = d. Let f = d + 10. Suppose -3*o - f = -86. Does 9 divide o? False Suppose 4*l - 4 = 0, 2*l - 86 = -3*n - 12. Is 12 a factor of n? True Let w(a) = -2*a**2 - 18*a + 23. Let m(j) = -3*j**2 - 27*j + 34. Let c(q) = 5*m(q) - 7*w(q). Let k be c(-10). Let h = 11 - k. Is h a multiple of 6? True Suppose 42 = 7*k - 4*k. Does 12 divide k? False Let s be (-4)/6 - 552/9. Let b = s - -90. Is b a multiple of 22? False Suppose 68 = 2*a + 3*t, -t = 2 + 2. Is a a multiple of 12? False Suppose -2*c + 8 - 2 = 0. Suppose c*a + 20 = 8*a. Is 2 a factor of a? True Suppose 0 = -f - 20 + 2. Let l = f - 11. Let u = 49 + l. Is u a multiple of 10? True Suppose -2*v + 173 = d, 0 = 4*v - 0*v - 5*d - 353. Is v a multiple of 13? False Suppose 0*w - 3*w + 509 = 2*g, 3*w + 3*g = 510. Is w a multiple of 13? True Let g = 96 - 42. Is g a multiple of 32? False Suppose 3*f + f - 392 = 0. Is f a multiple of 18? False Let w = -6 - -72. Does 22 divide w? True Let k(c) = -2*c + 19. Let r be 3*(-21)/9 + -3. Does 13 divide k(r)? True Suppose -2*n = -2*s - 314, -226 - 91 = -2*n + 3*s. Does 14 divide n? True Let b(z) = 10*z - 12. Is b(3) a multiple of 6? True Let w be (-23 - 5)*(-2)/8. Is 2/w - 33/(-7) a multiple of 5? True Suppose 0 = -2*l + b + 4 + 3, 0 = -l - 4*b + 26. Let c = -2 + l. Suppose -2*h = -c*h + 42. Is 8 a factor of h? False Let q be 0 + (-4 - (-3 + 3)). Does 6 divide -1 - q - (0 - 9)? True Suppose 2*h + 2*h - 16 = 0. Let t(n) = 5*n**2 - 3*n - 1. Let j(o) = 9*o**2 - 7*o - 1. Let b(r) = h*j(r) - 7*t(r). Does 3 divide b(7)? True Let v(b) = -5*b - 3. Let t(j) = 5*j**2 + 3*j**3 + 3 - 4*j**3 + 5*j + 1. Let m be t(6). Does 6 divide v(m)? False Let k(b) = -18*b - 28. Is k(-15) a multiple of 49? False Let s(r) = 11*r**2 + 7*r + 3. Let b be s(-5). Suppose t = 4*h + 24 + 64, 3*t - b = 5*h. Is 19 a factor of t? True Let x(b) = -b**3 + 2*b - 1. Let f be x(1). Suppose 2*t - 2*d - 8 = -f*t, 5*t - 30 = -5*d. Suppose t*w + 4*j - 19 = 1, -3*w = 5*j + 1. Is 8 a factor of w? True Suppose -5 - 10 = -m. Does 7 divide (42/4)/(m/20)? True Suppose -o - o + 196 = 0. Does 30 divide o? False Is (-258)/(-9) + (-2)/3 a multiple of 9? False Suppose -5 - 3 = 2*p, -4*p - 6 = 5*j. Is 5*-14*j/(-20) a multiple of 7? True Let c(p) = 18*p - 12. Is c(8) a multiple of 11? True Suppose 2*y - 3*y + 3 = 0. Suppose 5*q - 3 = d + y, 0 = 4*d + q - 60. Let a = d + -8. Is a a multiple of 3? True Let v(l) = l**3 + 7*l**2 + 8*l - 1. Is v(-5) a multiple of 4? False Let h be (-6)/3*3/(-2). Let u = 8 - h. Suppose u*o + i - 15 = 1, 2*o + i - 4 = 0. Is 3 a factor of o? False Suppose -5*u + 13 = -4*m, 3*m - 5*u + 16 = -0*m. Suppose 0 = -5*l + 4*s + 41, l = -m*s - s - 11. Is l even? False Suppose 3*j + 5 + 25 = 5*p, 5*p - 5 = -2*j. Suppose v = p*v - 40. Does 10 divide v? True Suppose v - 3*i - 8 = 0, -i + 6 = -4*i. Suppose q - 117 = -v*q. Suppose 0 = 4*j - 81 - q. Is 15 a factor of j? True Let i = -115 - -228. Does 21 divide i? False Does 15 divide 7 + 13 - (0 + 1)? False Suppose 0 = -v + 3*w - 55, v + v + 110 = -w. Let h = v + 115. Is 16 a factor of h? False Let h be 536/14 + 6/(-21). Let w = 56 - h. Is 18 a factor of w? True Let a be (-1)/(-4) - 14/(-8). Let v = 29 - 27. Does 2 divide (1/2 + v)*a? False Suppose -3*b + 296 = 2*b - 3*g, -3*b - 2*g + 170 = 0. Is b a multiple of 29? True Let z(x) = -x**3 - 3*x**2 - 3*x - 2. Let s be z(-2). Let b be (-6 + 9)*(2 - -1). Suppose s*r - b = -4*w - 3*r, 2*w = 2*r + 8. Is 2 a factor of w? False Suppose 5*j = -5*x + 225, 5*j - j = 5*x + 180. Is 14 a factor of j? False Let q be (-3)/4 - (-215)/20. Suppose p = q + 11. Is p a multiple of 16? False Suppose 0 = -l - s - 2*s + 3, 0 = -4*l - 5*s + 12. Suppose 5*h + z = -l*z + 6, 2*h + 5*z - 16 = 0. Does 12 divide 31 - -3*h/6? False Suppose 0 = -3*x + q - 0*q + 43, 4*x - 48 = -q. Let i = 18 - x. Suppose -i*n + 76 = -5*y - 49, -10 = 5*y. Is n a multiple of 11? False Let a be 5/(-2)*2/(-5). Let d be (1 - a)/(0 - -3). Suppose 2*h + d*h - 12 = -4*n, 0 = 3*n - 5*h - 22. Is n even? True Let p(v) = -v**3 + 19*v**2 + 3*v - 47. Is 5 a factor of p(19)? True Suppose 0 = -3*w + 2*f + 128, 0 = 4*w - 5*f - 247 + 88. Is w a multiple of 13? False Let b(z) = z + 6. Let f be b(10). Let l = f + -11. Suppose 70 = l*r - 0*r. Does 10 divide r? False Does 14 divide (-224)/(-6)*15/10? True Suppose 2*w - 48 = n, -8*w + 3*w + 4*n + 126 = 0. Does 9 divide w? False Suppose 0 = -3*y - 1 + 34. Suppose 3*i = y + 25. Is 6 a factor of i? True Let k = 11 + 31. Does 13 divide k? False Let k be (3/1)/(9/12). Suppose k*c = -0*c - 16. Let v(i) = i**3 + 5*i**2 - 3*i. Is 12 a factor of v(c)? False Let v(w) = -74*w - 19. Does 21 divide v(-5)? False Suppose 5*h = 4 + 1. Let u = h + 19. Is 10 a factor of u? True Suppose 0 = d + s - 1 - 7, 4*s = -3*d + 24. Suppose 2*o - 4*o = 6. Let g = d + o. Is g a multiple of 3? False Let i be (0/1)/(-1) + -1. Let h = i - -6. Suppose h*z = -0*z + 80. Is 16 a factor of z? True Let w(n) = n**2 + 7*n + 9. Let r be w(-4). Suppose 3*h = -6, 3*h + 6 = -m - 2*h. Is 5 a factor of 10/m*(r - -7)? True Let g(i) = 6*i + 25. Is 19 a factor of g(18)? True Suppose 2*r + 24 = 4*r. Does 6 divide r? True Suppose -4*d + 9 = -d. Let z(o) = -3 - o**d - 4*o**2 + o - o + 3*o. Is 7 a factor of z(-5)? True Suppose 0 = -3*i - t + 4 + 8, 0 = 2*i + 3*t - 15. Let w = i - -14. Does 11 divide w? False Suppose -14*t - 36 = -17*t. Is t a multiple of 6? True Suppose m - 2*m + y = -11, 0 = 2*m - y - 17. Suppose -2*k + m*k = 0. Suppose -5*v + 1 + 14 = k. Does 2 divide v? False Let z(x) = -9*x - 1. Let u be z(-1). Let s be
{ "pile_set_name": "DM Mathematics" }
vided by 20. 16 What is the remainder when 111 is divided by 47? 17 What is the remainder when 146 is divided by 39? 29 What is the remainder when 146 is divided by 21? 20 What is the remainder when 290 is divided by 24? 2 What is the remainder when 24 is divided by 3? 0 Calculate the remainder when 647 is divided by 24. 23 What is the remainder when 1629 is divided by 54? 9 What is the remainder when 4177 is divided by 22? 19 What is the remainder when 451 is divided by 52? 35 Calculate the remainder when 5385 is divided by 98. 93 What is the remainder when 540 is divided by 136? 132 Calculate the remainder when 6534 is divided by 933. 3 Calculate the remainder when 10813 is divided by 22. 11 Calculate the remainder when 417 is divided by 28. 25 Calculate the remainder when 619 is divided by 28. 3 What is the remainder when 81 is divided by 6? 3 What is the remainder when 6 is divided by 6? 0 What is the remainder when 48 is divided by 15? 3 Calculate the remainder when 676 is divided by 136. 132 Calculate the remainder when 99 is divided by 53. 46 Calculate the remainder when 205 is divided by 23. 21 Calculate the remainder when 7738 is divided by 43. 41 Calculate the remainder when 92 is divided by 55. 37 What is the remainder when 138 is divided by 10? 8 Calculate the remainder when 447 is divided by 25. 22 What is the remainder when 150 is divided by 97? 53 Calculate the remainder when 260 is divided by 9. 8 Calculate the remainder when 712 is divided by 13. 10 Calculate the remainder when 565 is divided by 63. 61 What is the remainder when 196 is divided by 22? 20 Calculate the remainder when 143 is divided by 26. 13 What is the remainder when 5999 is divided by 100? 99 Calculate the remainder when 2692 is divided by 77. 74 What is the remainder when 391 is divided by 29? 14 What is the remainder when 10534 is divided by 24? 22 What is the remainder when 135 is divided by 78? 57 What is the remainder when 895 is divided by 16? 15 What is the remainder when 1050 is divided by 20? 10 Calculate the remainder when 292 is divided by 143. 6 Calculate the remainder when 383 is divided by 77. 75 Calculate the remainder when 257 is divided by 26. 23 Calculate the remainder when 50 is divided by 27. 23 Calculate the remainder when 302 is divided by 61. 58 What is the remainder when 221 is divided by 30? 11 Calculate the remainder when 3714 is divided by 369. 24 Calculate the remainder when 20 is divided by 12. 8 What is the remainder when 10835 is divided by 172? 171 What is the remainder when 516 is divided by 21? 12 What is the remainder when 233 is divided by 41? 28 What is the remainder when 971 is divided by 35? 26 What is the remainder when 2372 is divided by 28? 20 What is the remainder when 44839 is divided by 20? 19 Calculate the remainder when 3394 is divided by 43. 40 What is the remainder when 523 is divided by 157? 52 What is the remainder when 1017 is divided by 150? 117 What is the remainder when 117 is divided by 35? 12 Calculate the remainder when 5426 is divided by 10. 6 Calculate the remainder when 41 is divided by 39. 2 What is the remainder when 1384 is divided by 33? 31 Calculate the remainder when 90 is divided by 21. 6 What is the remainder when 2899 is divided by 133? 106 Calculate the remainder when 14255 is divided by 53. 51 What is the remainder when 891 is divided by 19? 17 Calculate the remainder when 56 is divided by 6. 2 Calculate the remainder when 129 is divided by 76. 53 Calculate the remainder when 229 is divided by 23. 22 What is the remainder when 550 is divided by 35? 25 What is the remainder when 48 is divided by 26? 22 Calculate the remainder when 397 is divided by 102. 91 What is the remainder when 137 is divided by 65? 7 Calculate the remainder when 3588 is divided by 358. 8 Calculate the remainder when 184 is divided by 40. 24 What is the remainder when 971 is divided by 12? 11 Calculate the remainder when 17 is divided by 3. 2 Calculate the remainder when 164 is divided by 7. 3 What is the remainder when 10597 is divided by 8? 5 Calculate the remainder when 309 is divided by 50. 9 What is the remainder when 55 is divided by 50? 5 Calculate the remainder when 490 is divided by 60. 10 What is the remainder when 134 is divided by 62? 10 What is the remainder when 1818 is divided by 102? 84 Calculate the remainder when 582 is divided by 201. 180 Calculate the remainder when 756 is divided by 95. 91 Calculate the remainder when 2052 is divided by 21. 15 What is the remainder when 1052 is divided by 85? 32 Calculate the remainder when 581 is divided by 22. 9 Calculate the remainder when 967 is divided by 51. 49 What is the remainder when 27 is divided by 4? 3 What is the remainder when 3842 is divided by 1919? 4 What is the remainder when 329 is divided by 108? 5 Calculate the remainder when 239 is divided by 84. 71 What is the remainder when 294 is divided by 117? 60 Calculate the remainder when 535 is divided by 68. 59 Calculate the remainder when 495 is divided by 100. 95 Calculate the remainder when 48 is divided by 46. 2 What is the remainder when 506 is divided by 9? 2 What is the remainder when 387 is divided by 15? 12 What is the remainder when 504 is divided by 106? 80 What is the remainder when 16 is divided by 6? 4 Calculate the remainder when 1122 is divided by 37. 12 What is the remainder when 474 is divided by 68? 66 What is the remainder when 1167 is divided by 7? 5 What is the remainder when 172 is divided by 5? 2 Calculate the remainder when 105 is divided by 39. 27 Calculate the remainder when 799 is divided by 78. 19 Calculate the remainder when 889 is divided by 295. 4 Calculate the remainder when 141 is divided by 57. 27 What is the remainder when 4595 is divided by 219? 215 Calculate the remainder when 1639 is divided by 1638. 1 Calculate the remainder when 112 is divided by 78. 34 Calculate the remainder when 233 is divided by 5. 3 Calculate the remainder when 2923 is divided by 19. 16 What is the remainder when 2032 is divided by 19? 18 What is the remainder when 59 is divided by 29? 1 What is the remainder when 362 is divided by 26? 24 Calculate the remainder when 1995 is divided by 10. 5 Calculate the remainder when 489 is divided by 27. 3 Calculate the remainder when 366 is divided by 85. 26 Calculate the remainder when 194 is divided by 91. 12 Calculate the remainder when 22608 is divided by 266. 264 Calculate the remainder when 1344 is divided by 444. 12 Calculate the remainder when 1203 is divided by 5. 3 Calculate the remainder when 5362 is divided by 185. 182 What is the remainder when 241 is divided by 137? 104 Calculate the remainder when 109 is divided by 62. 47 What is the remainder when 177 is divided by 91? 86 Calculate the remainder when 177 is divided by 41. 13 What is the remainder when 660 is divided by 52? 36 Calculate the remainder when 55 is divided by 23. 9 What is the remainder when 699 is divided by 19? 15 What is the remainder when 27 is divided by 17? 10 What is the remainder when 778 is divided by 84? 22 Calculate the remainder when 2939 is divided by 10. 9 Calculate the remainder when 3442 is divided by 26. 10 Calculate the remainder when 645 is divided by 169. 138 Calculate the remainder when 171 is divided by 134. 37 What is the remainder when 6304 is divided by 6? 4 What is the remainder when 72 is divided by 9? 0 Calculate the remainder when 5987 is divided by 111. 104 Calculate the remainder when 60 is divided by 22. 16 What is the remainder when 274 is divided by 42? 22 What is the remainder when 270 is divided by 88? 6 What is the remainder when 1930 is divided by 406? 306 What is the remainder when 413 is divided by 144? 125 Calculate the remainder when 108 is divided by 25. 8 What is the remainder when 568 is divided by 29? 17 What is the remainder when 544 is divided by 44? 16 Calculate the remainder when 1663 is divided by 185. 183 What is the remainder when 380 is divided by 11? 6 What is the remainder when 324 is divided by 55? 49 Calculate the remainder when 2000 is divided by 17. 11 What is the remainder when 1153 is divided by 231? 229 What is the remainder when 987 is divided by 243? 15 What is the remainder when 297 is divided by 20? 1
{ "pile_set_name": "DM Mathematics" }
0/55 - 7)? 0 Let p(o) = 6*o**3 + 4*o**2 - 5*o + 4929. What is the tens digit of p(0)? 2 Let a(d) = 3*d**2 - 41*d - 144. What is the units digit of a(65)? 6 Suppose 5*g - 175 = 2*d, -3*g - 2*g - 4*d + 175 = 0. Let v be 80/g - (-2)/(-7). Suppose 0 = -v*n + 203 + 17. What is the hundreds digit of n? 1 Suppose 0 = -9*v + 85116 + 21885. What is the units digit of v? 9 Let y = -126 + 218. Suppose -5*x = -382 + y. What is the units digit of x? 8 Let u(d) = 3*d - 3 - 9*d**2 + 14*d**2 - 2*d**3 + d**3. Let x be u(5). Let h = 211 - x. What is the hundreds digit of h? 1 Suppose 30*u - 29082 = 6678. What is the units digit of u? 2 Let s = 220 + -108. Let a = s - 97. What is the units digit of (((-25)/(-5))/a)/(1/39)? 3 Suppose 9*w = 7*w - 4*k + 7914, -3*k - 21 = 0. What is the units digit of w? 1 Let y = -13007 - -23787. What is the ten thousands digit of y? 1 Let o be 16 + (3 - 16/4). Let n be (3 - (21/o - -2))*-5. Suppose 167 = n*h + 3*k, 5*k = 4*h - 0*k - 367. What is the tens digit of h? 8 Let a be 100/(-36) - (-12)/(-54). Let u(i) = -262*i + 2. What is the tens digit of u(a)? 8 What is the ten thousands digit of (-1438 - 0)*-39 - -4*1/1? 5 Let p(t) = t**2 + 11*t - 81. Suppose 4*c + 5*l + 76 = c, 112 = -4*c + 4*l. What is the tens digit of p(c)? 5 What is the tens digit of ((-1986)/9 - (4 - (-10)/5))*-60? 0 Suppose 23100 = 13*l + 53*l. What is the hundreds digit of l? 3 Suppose -5 = 5*s, 3*b + 2*s - 268 = 537. Suppose g + 4*g + 2*i - b = 0, -59 = -g - 3*i. Let x = 150 - g. What is the units digit of x? 7 Let s(b) = 14*b**3 + 47*b**2 - 7*b + 106. What is the units digit of s(12)? 2 Let y(t) = -4*t**3 - 8*t**2 - 2*t - 24. Let s(z) = 3*z**3 + 6*z**2 + z + 16. Let i(a) = 7*s(a) + 5*y(a). What is the tens digit of i(4)? 7 Suppose -12 = 2*s, 2*s - 59017 = -2*w - 14465. What is the units digit of w? 2 Suppose -14*r = 6*r - 39620. Suppose -8*m = -m - r. What is the units digit of m? 3 Suppose 36657 = 8*y - 37391. Suppose -y = -47*j + 39*j. What is the tens digit of j? 5 Suppose -19*y = -7*y + 3*g - 329049, -4*y + 2*g + 109674 = 0. What is the ten thousands digit of y? 2 Let o(c) = 2*c - 10. Let h be o(6). Suppose -3*i = h*s - 1803, -601 = -i - s + 5*s. Suppose 5*x + 3*g = i, -4*x - 2*g + 468 = -6*g. What is the tens digit of x? 1 Suppose 2*a + 2*i = -24, -5*a + 5*i - i = 60. Let l(g) = g**3 + 13*g**2 + 5*g - 15. Let n be l(a). What is the hundreds digit of 138/9*(2 + n/6)? 2 Let z(m) = -17*m**2 - 2*m + 11182. What is the thousands digit of z(0)? 1 What is the units digit of (-1 + 2 - 11)/(42/(-45045)*3)? 5 Let s(v) be the second derivative of -45*v + 0 - v**3 + 1/6*v**4 - 5/2*v**2 - 7/20*v**5. What is the units digit of s(-3)? 0 Suppose 0 = -13*j + 107141 - 13086. What is the units digit of j? 5 Suppose 3*g - 9852 = -3*r, -r + 19694 = -232*g + 238*g. What is the hundreds digit of g? 2 Let y(j) = -3*j**3 - 37*j**2 + 2*j - 38. Let p(h) = -2*h**3 - 25*h**2 + h - 25. Let m(k) = 7*p(k) - 5*y(k). What is the tens digit of m(-6)? 7 Let w = 354 + -351. Suppose u + 2249 = 5*u + w*o, 3*o + 1111 = 2*u. What is the hundreds digit of u? 5 What is the hundreds digit of (1/((-2)/(-12674)))/(46/46)? 3 Suppose -r = -4*r + 21. Let o(h) = 52*h + 39. Let n(m) = -5*m - 3. Let w(y) = -13*n(y) - o(y). What is the units digit of w(r)? 1 Let v be 4/6 - 226/(-3). Let a = 3801 + -3809. Let q = v - a. What is the tens digit of q? 8 Suppose -212*b + 5*y - 199568 = -215*b, 0 = 4*b - 2*y - 266134. What is the units digit of b? 1 Let p(g) = -15*g + 13. Let a be p(1). What is the tens digit of a/(-9) - 5236/(-252)? 2 Let i(z) = 3*z**2 - z + 13. Suppose -7*l - 61 = -5. Let c be (l/12 + 1)/((-2)/(-42)). What is the tens digit of i(c)? 5 Let l be (-12)/(-8)*2 + -1. Suppose -l*t - 4*z + 296 = -0*z, -6 = -3*z. Suppose 0*h + o = -2*h + 243, -t = -h - 5*o. What is the tens digit of h? 1 Let a(h) = h**3 + 9*h**2 - 3*h - 25. Let b be a(-9). What is the hundreds digit of (-1)/(((-5)/(-10))/((-659)/b))? 6 Let o(z) = -2*z**2 - 3*z - 4. Let q be o(0). What is the hundreds digit of -3 + 1094/2*(-8)/q? 0 Let l = 58 + -50. Suppose -j = l - 6. What is the units digit of 4 + j + -4 + 76 + -2? 2 Let k(f) = -46*f + 102. Let r be k(24). Let z = r + 2132. What is the thousands digit of z? 1 Suppose 120*r - 855880 = -13*r + 67672. What is the units digit of r? 4 Let p be (-1 - -2) + 33464/4. Suppose -22*b = -p + 2361. What is the tens digit of b? 7 Suppose -3*i - 184 = 4*x, 2*i - 5*x = -3*i - 330. Let t = i - -66. Suppose -t*p + 399 = 3*y, y = 2*p - 6*p + 123. What is the units digit of y? 5 Let q(t) = t**3 + 6*t**2 - 4*t + 4. Let p be q(-6). Suppose 4*s = 3*u - s - p, 5*u - 57 = -2*s. Suppose 15*l - 352 = u*l. What is the units digit of l? 8 Let l(d) = 4*d**3 + 47*d**2 + 13*d + 23. What is the tens digit of l(-9)? 9 Let p = 38764 + -27648. What is the hundreds digit of p? 1 Suppose 24*x + 9469 = 877. Let t = x + 594. What is the units digit of t? 6 Suppose 0 = 40*i - 6*i - 374. Suppose i*n - 4249 = 657. What is the tens digit of n? 4 Let u = 7349 + -3955. What is the units digit of u? 4 Let z be 2/5 + (-2)/30*-5679. Let w = 769 - z. Suppose 8*v - w = 5*v. What is the hundreds digit of v? 1 Let n(f) = f**3 + 9*f**2 - f - 6. Let j be n(-9). Suppose -4*a = z - 7, j*z = -a - 0*a - 12. What is the units digit of a? 3 Let s(l) = -45*l - 393. Let c = -525 - -484. What is the hundreds digit of s(c)? 4 Let i = -12275 + 25890. What is the units digit of i? 5 Let a(w) be the first derivative of w**3/3 + 2*w**2 + 5*w + 4. Let y(m) = -4*m - 7. Let r be y(-3). What is the tens digit of a(r)? 5 Let n = 46180 - 181. What is the thousands digit of n? 5 Let a(c) = c**3 + 7*c**2 + 11*c + 22. Let o(v) = v**3 - 1. Let r(b) = -a(b) + 2*o(b). What is the units digit of r(10)? 6 Suppose 3*y - 90 = -3*y. Let g(x) = x**3 - 15*x**2 - 2*x + 36. Let c be g(y). Let m = 11 + c. What is the units digit of m? 7 Let y = 159 + -369. What is the tens digit of (y + -2)/(1*-2)? 0 Let n(f) be the first derivative of 1/4*f**4 - 4*f + 0*f**2 + 12 - 7/3*f**3. What is the units digit of n(8)? 0 Suppose 122818 = 45*c - 31686 + 20404. What is the thousands digit of c? 2 Let y = 22 + -31. Let v = y - -5. What is the units digit of (-23)/(68/(-16) - v)? 2 Let z(o) = 437*o**2 - 45*o + 151. What is the hundreds digit of z(6)? 6 Suppose -2*q - 2*q - 2*h + 5378 = 0, -2*h = -q + 1357. Let t = q - 643. What is the units digit of t? 4 Suppose t + 4 = 0, v + 2*t + 1 = -4. Suppose -4*m + 2035 = m - v*u, -3*u = -2*m + 823. What is the tens digit of m? 0 Suppose -4*c + 651 = -381. Suppose 0 = f - 278 - c. What is the tens digit of f? 3 Suppose -2*k + 4*m + 3800 + 51816 = 0, -3*m + 27833 = k. What is the tens digit of k? 1 What is the tens digit of (486/108)/((-3)/(-3226))? 3 Suppose 1 - 8 = -q - 5*d, -2*d - 26 = 4*q. What is the tens digit of ((-6129)/54)/(1/q)? 0 Suppose -63*d + 722602 = -244763. What is the thousands digit of d? 5 Suppose 0 = 15*k - 19*k + 1904. Suppose 6*c - k = 2686. What is the hundreds digit of c? 5 Suppose -3*r = 2*k - 513, -4*k - 207 = -2*r + 119. Suppose 5*i = 6*i - r. What is the hundreds digit of i? 1 Let n(o) = -5*o - 18. Let w be n(-4). Suppose -3*z + w*t = -42, -5 = z + t - 14. What is the units digit of z? 2 Let s = 80 + -80. Suppose s = -2*g - 3 + 139. Suppose -k - g + 296 = 0. What is the hundreds digit of k? 2 Let c(l) = -l**3 + 5*l**2 - l - 6. Let k be c(4). What is the tens digit of 21/k*188 + 7? 6 Let b(u) = -u**2 - 48*u + 3. Let f be b(-17). Let l be ((-1)/(-3) - f/(-30))/2. Suppose -l*r - 216 = -18*r. What is the tens digit of r? 2 Suppose -3*o = -14*o + 748. Suppose 5*y - 25 = 0, o*f - y = 64*f + 75. What is the tens digit of f? 2 Suppose -1125 = s - 1128. Suppose s*d = -2*j + 1795, 5*j = -0*d - d + 4468. What is the hundreds digit of j? 8 Suppose 0 = -5*o - 131 + 126. Let u(r) = r**2 + r + 1. Let c(v) = 3*v**3 + 10*v**2 + 4*v. Let p(w) = o*c(w) + 4*u(w). What is the units digit of p(-5)? 9 Let f = -25 - -52. Suppose f*b - 26*b - 39 = 0. What is the units digit of b? 9 Suppose 0 = -5*h - 3*k + 15, 3*h - 10 + 1 = k. Suppose -y = -h*x + 55, 0*x + 2*y + 92 = 5*x. Suppose d - 4*d = -x. What is the units digit of d? 6 Let o be 7/(21/2682) - (-19 - -19). Suppose 0 = 2*f - 5*n - 244 - 690, o = 2*f + 5*n. What is the hundreds digit o
{ "pile_set_name": "DM Mathematics" }
e a(-3). Let f = 47 - x. List the prime factors of f. 19 Suppose -j + 62 = -61. What are the prime factors of j? 3, 41 Suppose 12 + 6 = 2*s. Suppose 3*w - s = -0*w. What are the prime factors of w + 1 + (-2)/1? 2 Let z(j) = -j**2 + 4. Suppose -4*m = -4*g - 8, 4*g + 4 = 3*m - 4. What are the prime factors of z(m)? 2 Let a(b) = b + 2. Let m be a(10). Suppose -c = 3*w - 4*c - 18, -w + m = c. Let z(o) = -o**3 + 10*o**2 - 9*o + 4. What are the prime factors of z(w)? 2 Let h(w) = 9*w - 1. List the prime factors of h(7). 2, 31 Suppose 0 = -3*q - 5*q + 280. List the prime factors of q. 5, 7 Let k = -26 - -16. Let j = k + 4. What are the prime factors of 1/((-9)/j - 1)? 2 List the prime factors of (-328)/(-6) + (-1)/(-3). 5, 11 Suppose 3*z = z + 48. List the prime factors of (-6)/z + 74/8. 3 List the prime factors of (-1492)/(-6) + 10/3 + -3. 3, 83 Let p be 6/8*(0 - 8). What are the prime factors of 18/(-4)*16/p? 2, 3 Let g = -131 - -230. Suppose 0 = 3*h - 33 - g. What are the prime factors of h? 2, 11 Suppose 0*z = -4*z + 84. Let u = 58 - z. List the prime factors of u. 37 Suppose -5*n = 3*w - 0*n - 34, 40 = 5*w + 5*n. Suppose p + 5*j - 10 = 0, w*p - 8 = 4*j + 3. List the prime factors of p. 5 Suppose -3*d + r + 3 = -226, -5*d + 371 = r. List the prime factors of d. 3, 5 Suppose -5*d + 3 + 13 = -3*y, -5*d + 2*y = -19. Suppose -135 = -d*s + 5. What are the prime factors of s? 2, 7 Suppose 6*z - 22 = -4. Suppose -50 = -3*n - 5*k, k + 17 = n + z*k. List the prime factors of n. 3, 5 Let g(t) = -39*t. Let p be -1*-4*1/(-4). List the prime factors of g(p). 3, 13 Let s(p) = 7*p - 5. Let y be s(4). Let j be y - (-2)/4*-4. Let i = j + -14. What are the prime factors of i? 7 Let n(r) = -15*r - 21. What are the prime factors of n(-9)? 2, 3, 19 Suppose 3*y - 16 = 5*o, 4*y - 2 = -2*o - o. Suppose w = y*m - 101, -155 - 95 = -5*m + 2*w. What are the prime factors of m? 2, 3 What are the prime factors of (-1 - -130)*(3 + 28/(-12))? 2, 43 Let g(s) = -s**2 + 3*s. Let k = 15 + -11. Let y be g(k). What are the prime factors of (14/4)/(y/(-8))? 7 Let c = 172 + -50. List the prime factors of c. 2, 61 Suppose -46 = -4*y - 3*c, 2*y - 5*c = -c + 12. Let t(d) = -d**2 + 13*d - 15. What are the prime factors of t(y)? 3, 5 Suppose 4*n - 2 = -3*p, 2*n + 3*p + 1 + 1 = 0. Suppose 0 = n*y - 14. Let t(w) = -w**2 + 10*w - 9. What are the prime factors of t(y)? 2, 3 Suppose -2*h - 64 + 18 = 0. Let x = -14 - h. List the prime factors of x. 3 Let w(t) = t**3 - 10*t**2 + 10*t + 3. Let p be w(9). List the prime factors of 9/p*-2*-12. 2, 3 Suppose 3*v = -16 + 7. Let y = 5 + v. Suppose 2 - 12 = -y*u. List the prime factors of u. 5 Let z(w) = w**2 - 7*w + 6. Let r be z(7). What are the prime factors of ((-18)/(-5))/(r/75)? 3, 5 Suppose 6*j = 3*j + 66. List the prime factors of 0 + 1 + (j - 3). 2, 5 Let d = -3 + 14. List the prime factors of d. 11 Let q(k) = k**3 + 7*k**2 - 2. Let f be q(-5). Suppose 0 = -3*u + 7*u - f. What are the prime factors of u? 2, 3 Let p = -8 + 13. Let t(w) = 4*w + 1. Let d be t(4). Suppose l - 5*f = -d, f = p*l - f - 30. List the prime factors of l. 2 Let u(i) = -4*i - 17. List the prime factors of u(-18). 5, 11 Let b(l) = l**3 - 6*l**2 + 10. Let n be b(5). Let f = n - -30. What are the prime factors of f? 3, 5 List the prime factors of (72/(-10))/(4/(-20)). 2, 3 Let j(r) be the first derivative of -3*r + 1/2*r**2 + 2. List the prime factors of j(5). 2 Suppose -3*w + 3*n = 6, 6*w - 3*n = w. Suppose w*c - 40 = -c. Suppose j - c = -0*j. What are the prime factors of j? 2, 5 Let w(a) = 3*a**2 + 15*a - 3. Let p(k) = -k**2 - 5*k + 1. Let v(d) = -11*p(d) - 4*w(d). Let f be v(-6). Let g = 7 - f. What are the prime factors of g? 2, 3 Suppose -67 = -4*w + 13. Let q(l) = -3*l**2 - 2*l - 2. Let c be q(-2). Let v = c + w. List the prime factors of v. 2, 5 Let r(u) = u**3 - 2*u + 1. List the prime factors of r(2). 5 Let w = 138 + -71. List the prime factors of w. 67 Let p be 1 - -1 - (3 - 4). Let r be 3 + p/3 - 2. Suppose 0 = -0*f - r*f + 8. What are the prime factors of f? 2 Let w(i) = 2*i**2 + 25*i + 15. Let c(s) = -s**2 - 13*s - 7. Let t(o) = 5*c(o) + 3*w(o). Let g be t(-9). Let d = g - -16. List the prime factors of d. 17 Let k(q) = q**2 - 3*q - 4. Let g be k(3). Let u = 1 - g. List the prime factors of u. 5 Let t be (2 + -2)*(4 + -3). What are the prime factors of (t + 2)*(-44)/(-2)? 2, 11 Let w be 128/9 - 12/54. Let y = w + -5. What are the prime factors of y? 3 Suppose 5*a + 2*s = 0, 0 = 5*a - 2*s - 12 - 8. Let v = -1 - a. List the prime factors of 5/(1 + 0/v). 5 Let r be -2 + (6/3 - 10). Let g be ((-8)/(-20))/((-2)/r). Suppose 4*f = 3*b + g*b - 30, -4*b - 12 = 4*f. What are the prime factors of b? 2 Let g(c) = c**2 - 10*c + 10. Let b(a) = a**2 + 5*a + 3. Let x be b(-6). Let y be g(x). Suppose -4*u + y = -23. What are the prime factors of u? 2, 3 Suppose -2*m - 6 = -5*u - 1, -5 = -5*u. Suppose a + 5 = 4*f - m*f, -4*f = 3*a - 33. List the prime factors of a. 7 Let o = 143 + -66. What are the prime factors of o? 7, 11 Let b be (-11 - -1)*(-2)/(-4). Let x(v) be the third derivative of -v**5/60 - v**4/4 + 2*v**3/3 + 7*v**2. What are the prime factors of x(b)? 3 Let o(p) = -p + 7. Let l be -6 - 2 - (-1)/1. Let c be o(l). Let g = -10 + c. List the prime factors of g. 2 Suppose -2*g - 735 = 3*u - 8*u, -313 = -2*u - 3*g. What are the prime factors of u? 149 Let v be 15 + (1 + -3)*1. Let k = 19 - v. Suppose r = 1 + k. List the prime factors of r. 7 Let p(w) = 1. Let q(c) = 4*c + 4. Let l(f) = -2*p(f) + q(f). What are the prime factors of l(3)? 2, 7 Let i(m) = -m**2 - 11*m - 7. Let n be i(-10). Suppose -n*c = -6, 2*w + 2*w + 5*c - 18 = 0. What are the prime factors of 3 - 2/(-4)*w? 2 Let q = 9 + 3. Suppose -f + q = -5*y, 4*f + 0*y + 5*y - 98 = 0. What are the prime factors of f? 2, 11 Let n = -9 + 9. Suppose n = -3*p - 0*p + 87. What are the prime factors of p? 29 Suppose -5*f = -3*n + 1, 5*f - 14 = -4*n - 1. Suppose 2*b - 45 = -n*v + 1, -v = -4*b - 13. List the prime factors of v. 3, 7 Suppose -4*j + 22 = -0*j - 2*m, 3*m = -9. Suppose 7 - 59 = -j*g. List the prime factors of g. 13 Let n = 23 - -8. What are the prime factors of n? 31 Suppose -194 - 2 = -7*h. What are the prime factors of h? 2, 7 Suppose 0*m + 2*m - 20 = -b, -5*b + 4*m = -44. Let d be 137/3 - 8/b. List the prime factors of d/4 + (-3)/(-4). 2, 3 Let b(u) = -21*u. What are the prime factors of b(-2)? 2, 3, 7 Let s(a) be the third derivative of -2/3*a**3 + 1/3*a**4 + a**2 + 0*a + 0 - 1/60*a**5. List the prime factors of s(5). 11 Let l = 7 + -6. Let t be l*6*(-12)/(-18). Suppose -3*u + 27 = -t*g, -2*g - 8 = -2. List the prime factors of u. 5 Let c = 5 + 14. Suppose -2*g + 0*g - 20 = 0. Let w = g + c. List the prime factors of w. 3 Suppose 2*w = 5*s, -w - 15 = -4*w. List the prime factors of s + 0 + 42/3. 2 List the prime factors of ((-194)/8)/(4/(-16)). 97 Let g(m) = m**2 - 12*m + 8. List the prime factors of g(12). 2 Suppose 5*w - 20 = -3*f, 3*f - 10 = -5*w + 2*f. Let n(s) = -s**2 + 2*s + 5. Let b be n(0). What are the prime factors of w/b - (-104)/5? 3, 7 Let v(z) = 11*z - 10. What are the prime factors of v(3)? 23 Let r(x) = -x**3 + 2*x**2 - 3*x - 11. Let u(h) = -2*h**3 + 5*h**2 - 7*h - 22. Let y(p) = -7*r(p) + 3*u(p). List the prime factors of y(0). 11 Let r = -5 + 2. What are the prime factors of (-34)/r + 2/(-6)? 11 Suppose 9*x = -3*i + 4*x + 50, 0 = -4*i + 5*x + 20. Suppose i + 35 = 5*m. List the prime factors of m. 3 Suppose -10*q + 49 = -1711. What are the prime factors of q? 2, 11 Let a(b) = 2*b**2 - 3. Let j be a(3). Suppose -g - 3*g + 20 = 0. Suppose 2*k + j = g*k. What are the prime factors of k? 5 Let j(t) = t**3 + 6*t**2 - 3. Let p be j(-6). Let l be -1 - (p + -1 + -1). Suppose 0 = -2*i - 4*y + 22, -8*y + l*y = 0. What are the prime factors of i? 11 Let l = 166 - 103. What are the prime factors of l? 3, 7 Let w = -10 - -10. Let r = w + 26. What are the prime factors of r? 2, 13 Suppose -7*n + 273 = -4*n. List the prime factors of n. 7, 13 Let n be (-1)/(-5) + 48/(-15). List the prime factors of n/(0 - (-9)/(-12)). 2 Suppose 81 - 16 = 5*f. List the prime factors of f. 13 Let b(g) be the third derivative of -g**6/120 - g**5/6 + g**4/24 + 13*g**3/6 + g**2. What are the prime factors of b(-10)? 3 Suppose 5
{ "pile_set_name": "DM Mathematics" }
50 What is 969423.2 minutes in seconds? 58165392 What is 71.07261m in kilometers? 0.07107261 How many months are there in 5.93205 centuries? 7118.46 What is 249.28725 months in centuries? 0.207739375 What is 1/5 of a litre in millilitres? 200 How many decades are there in thirty-one fifths of a century? 62 How many milligrams are there in one twentieth of a kilogram? 50000 What is one fifth of a centimeter in micrometers? 2000 How many litres are there in 8817.503ml? 8.817503 What is twenty-seven quarters of a litre in millilitres? 6750 Convert 98.51328 years to millennia. 0.09851328 How many nanometers are there in 6/25 of a micrometer? 240 What is 5656.921ml in litres? 5.656921 How many hours are there in seven quarters of a week? 294 How many minutes are there in 8/3 of a day? 3840 What is 1/16 of a meter in micrometers? 62500 What is one quarter of a kilometer in centimeters? 25000 How many micrometers are there in six fifths of a millimeter? 1200 What is five quarters of a gram in milligrams? 1250 What is one fifth of a kilometer in meters? 200 What is fifteen quarters of a millennium in decades? 375 What is 7/16 of a day in seconds? 37800 How many millennia are there in 148.88685 months? 0.0124072375 How many milligrams are there in twenty-seven halves of a gram? 13500 How many days are there in 963478.53 nanoseconds? 0.000000011151371875 How many milligrams are there in 45/2 of a gram? 22500 How many micrometers are there in 1/10 of a centimeter? 1000 What is 70.82607kg in nanograms? 70826070000000 How many milligrams are there in 80476.12 micrograms? 80.47612 How many litres are there in 767415.1ml? 767.4151 Convert 56.47097 kilograms to grams. 56470.97 Convert 117.1546 milligrams to grams. 0.1171546 What is twenty-five halves of a litre in millilitres? 12500 Convert 7.907347 centimeters to meters. 0.07907347 What is 7/4 of a hour in seconds? 6300 How many milliseconds are there in 1/20 of a second? 50 How many minutes are there in thirty-two fifths of a week? 64512 What is 1.891806 meters in micrometers? 1891806 What is 1/4 of a micrometer in nanometers? 250 Convert 646.7654 nanograms to milligrams. 0.0006467654 What is 13/8 of a litre in millilitres? 1625 How many decades are there in three fifths of a millennium? 60 Convert 52.9111 kilometers to meters. 52911.1 How many centuries are there in 0.4208862 months? 0.0003507385 How many months are there in 1/5 of a decade? 24 What is seven sixths of a decade in months? 140 Convert 32858.83 kilometers to centimeters. 3285883000 What is 0.8966558nm in millimeters? 0.0000008966558 What is fifty-five quarters of a second in milliseconds? 13750 What is fifty-one fifths of a millennium in years? 10200 What is 13961.50938s in weeks? 0.02308450625 Convert 7736.115ml to litres. 7.736115 How many decades are there in 193.721 millennia? 19372.1 What is 13065.9 nanoseconds in milliseconds? 0.0130659 How many millilitres are there in eleven tenths of a litre? 1100 How many weeks are there in 5407.3656 seconds? 0.00894075 What is 18/5 of a litre in millilitres? 3600 Convert 6.295927ml to litres. 0.006295927 Convert 0.4678086 millennia to years. 467.8086 How many hours are there in 9822.539 weeks? 1650186.552 Convert 302788.2 decades to centuries. 30278.82 How many millilitres are there in 46/5 of a litre? 9200 What is four thirds of a day in hours? 32 What is one tenth of a litre in millilitres? 100 What is 49/5 of a milligram in micrograms? 9800 What is 12/25 of a litre in millilitres? 480 How many millilitres are there in seventeen quarters of a litre? 4250 How many months are there in ten thirds of a year? 40 What is 29/2 of a kilometer in meters? 14500 How many meters are there in thirty-one fifths of a kilometer? 6200 How many millilitres are there in 3/25 of a litre? 120 How many micrograms are there in 2/125 of a milligram? 16 Convert 6.930056 micrometers to meters. 0.000006930056 How many seconds are there in 308200.5 minutes? 18492030 What is 68080.47 grams in milligrams? 68080470 What is five quarters of a millennium in decades? 125 How many years are there in 5/4 of a millennium? 1250 How many kilograms are there in 27/5 of a tonne? 5400 How many seconds are there in one tenth of a hour? 360 How many millilitres are there in 1/4 of a litre? 250 What is 54/5 of a litre in millilitres? 10800 What is one tenth of a kilometer in meters? 100 What is 566.862cm in micrometers? 5668620 Convert 9.17393 millilitres to litres. 0.00917393 What is 2/15 of a millennium in months? 1600 How many millimeters are there in seventeen halves of a meter? 8500 What is five quarters of a day in hours? 30 How many years are there in fourty-one halves of a century? 2050 Convert 0.7125378mm to meters. 0.0007125378 What is 48/5 of a milligram in micrograms? 9600 Convert 93046.94ug to grams. 0.09304694 Convert 78105.24 millimeters to nanometers. 78105240000 How many seconds are there in seven eighteenths of a hour? 1400 How many decades are there in 25/2 of a millennium? 1250 What is 770.4162ml in litres? 0.7704162 What is 6/5 of a milligram in micrograms? 1200 How many microseconds are there in 441041.4 days? 38105976960000000 What is 2605203.9 minutes in hours? 43420.065 What is 2.309724 centuries in months? 2771.6688 What is 7.675814t in milligrams? 7675814000 How many months are there in 3/8 of a millennium? 4500 How many millilitres are there in thirteen quarters of a litre? 3250 What is 76/5 of a litre in millilitres? 15200 What is five sixths of a millennium in months? 10000 How many meters are there in eleven halves of a kilometer? 5500 How many nanoseconds are there in 827.7438 weeks? 500619450240000000 Convert 2.4416457 months to millennia. 0.000203470475 What is 6.722491ml in litres? 0.006722491 How many centimeters are there in 4.468039 nanometers? 0.0000004468039 Convert 0.8502444 millennia to years. 850.2444 What is 3/8 of a meter in millimeters? 375 What is 422.6334 hours in milliseconds? 1521480240 What is one quarter of a day in minutes? 360 Convert 0.8905714 nanometers to centimeters. 0.00000008905714 Convert 0.0940051 millilitres to litres. 0.0000940051 What is 8403.404mg in micrograms? 8403404 What is three tenths of a micrometer in nanometers? 300 What is 78352.11 nanoseconds in microseconds? 78.35211 How many hours are there in 11/4 of a week? 462 What is 34/5 of a meter in centimeters? 680 How many micrograms are there in 29/5 of a milligram? 5800 How many meters are there in 39046.48 centimeters? 390.4648 What is nine tenths of a century in years? 90 What is 54.7311 years in months? 656.7732 What is ninety-one halves of a litre in millilitres? 45500 What is 1435.72824 nanoseconds in days? 0.000000000016617225 How many millilitres are there in 3/25 of a litre? 120 How many months are there in 1/5 of a millennium? 2400 What is 28/15 of a hour in seconds? 6720 How many nanometers are there in twenty-five quarters of a micrometer? 6250 What is one quarter of a tonne in kilograms? 250 What is 1/10 of a millennium in decades? 10 How many millimeters are there in 8.23684 micrometers? 0.00823684 How many litres are there in 8770.113ml? 8.770113 What is 13/5 of a decade in years? 26 Convert 10.0005738 hours to weeks. 0.059527225 Convert 198834.1 weeks to hours. 33404128.8 What is 27/5 of a decade in months? 648 How many litres are there in 9.809733ml? 0.009809733 How many nanograms are there in one quarter of a microgram? 250 How many months are there in 5/8 of a millennium? 7500 Convert 42.31165l to millilitres. 42311.65 What is 6813.36 minutes in nanoseconds? 408801600000000 How many millilitres are there in 19/4 of a litre? 4750 What is 75373.6g in milligrams? 75373600 What is 0.1297816 minutes in seconds? 7.786896 What is 3/40 of a kilogram in grams? 75 Convert 7.616509 decades to months. 913.98108 What is 6/5 of a hour in minutes? 72 What is 3933935.46 minutes in weeks? 390.271375 What is five quarters of a litre in millilitres? 1250 How many micrograms are there in one quarter of a milligram? 250 What is 13/4 of a kilometer in meters? 3250 What is twenty-five halves of a hour in minutes? 750 How many hours are there in 5/4 of a day? 30 What is 3/10 of a millennium in years? 300 How many days a
{ "pile_set_name": "DM Mathematics" }
(x) = -4*x**3 + 2. Determine 7*g(v) + 2*j(v). -2*v**3 Let k(t) = t**2 + 11*t - 9. Let w(j) = j**2 + 6*j - 5. Give 3*k(i) - 5*w(i). -2*i**2 + 3*i - 2 Let c(d) = 2*d**2 - 2*d - 2. Let o(x) = x**3 - 8*x**2 + 8*x + 9. Let w be (-4 + 2 - -1)*2. What is w*o(r) - 9*c(r)? -2*r**3 - 2*r**2 + 2*r Let p(z) = 3*z**2 + 17*z - 1. Let l(x) = 2*x**2 + 11*x - 1. Determine 8*l(v) - 5*p(v). v**2 + 3*v - 3 Let g(z) = -2 + 1 + 3 - 8*z. Let h(m) = m. Suppose 0 = 2*k + 13*k + 90. Give k*h(t) - g(t). 2*t - 2 Let o(f) = 2 + 0 - 1. Let m(r) = 2*r**3 - r**2 - 3. Determine -m(g) - 5*o(g). -2*g**3 + g**2 - 2 Let p(n) = 7*n - 3. Let y(f) = 36*f - 16. Determine 16*p(c) - 3*y(c). 4*c Suppose 3*a = 2*a. Suppose a*g - 6 = -2*g. Let l(v) = -4*v**3. Let u(c) = -3*c**3 - 4*c**3 + 0*c**3. What is g*u(b) - 5*l(b)? -b**3 Let v(r) = 6*r**3 + 10. Let k(u) = -2 - u**3 - 1 - u**3. Suppose -3*m - 5*d = -20, 2*m = -m + d + 32. What is m*k(c) + 3*v(c)? -2*c**3 Let a(m) = -1. Let l(o) = o + 2. Let i(n) = -n - 2. Let f(u) = -u**2 - 6*u - 5. Let j be f(-6). Let r(c) = j*i(c) - 4*l(c). Calculate 2*a(q) + r(q). q Let y(b) = -b**3 + 4. Let m(d) = -3*d**3 + 9. Calculate -4*m(o) + 9*y(o). 3*o**3 Let o(b) = -b. Let n(q) = -6*q - 8. What is -n(g) + 4*o(g)? 2*g + 8 Let b(v) = 5*v**3 + 2*v**2 + 2*v + 5. Let c(i) = 3*i**3 + i**2 + i + 3. What is 4*b(f) - 7*c(f)? -f**3 + f**2 + f - 1 Let u(y) = 7*y - 14. Let x(v) = 2*v - 5. Calculate 4*u(f) - 11*x(f). 6*f - 1 Let r(b) = b**3 + b + 1. Let n(p) = 7*p**3 + 6*p + 10. Determine n(w) - 6*r(w). w**3 + 4 Let o(b) be the second derivative of b**5/20 - 5*b**4/12 - 2*b**3/3 - b. Let w = 234 + -231. Let l(j) = 2*j**3 - 6*j**2 - 5*j. Calculate w*l(q) - 4*o(q). 2*q**3 + 2*q**2 + q Let i(v) = v**2 + 9*v. Let a(o) = -o - 1. Let n(k) = -a(k) + i(k). Let h(b) = -b. Determine 22*h(w) + 2*n(w). 2*w**2 - 2*w + 2 Let a(r) = 36*r**2 + 16. Let w(b) = 1 - 4 + 583*b**2 - 590*b**2. Determine -3*a(f) - 16*w(f). 4*f**2 Let s(t) = 5*t**2 - 5*t + 4. Let a be (-2)/(0 + -2) + 3. Let z(l) = 14*l**2 - 10*l + 7. Let u(d) = -d + 1. Let c(o) = a*u(o) + z(o). What is 4*c(m) - 11*s(m)? m**2 - m Let i be (-16 - -21)/(-1 - 0). Let n(b) = -7*b**3 + b**2 + 5*b - 5. Let x(d) = -d**3 + d - 1. Give i*x(p) + n(p). -2*p**3 + p**2 Let x(f) = 2*f + 1. Suppose -1 = t + 2*h, -3*t - t - 4*h = 4. Let i(a) = a + 1. Give t*i(c) + x(c). c Let s(n) = -10*n**3 - 26. Let f(l) = l**3 + 3. Give -52*f(y) - 6*s(y). 8*y**3 Suppose -2*g + 48 = 6*g. Let p(s) = -3*s**3 - 6*s**2 - 7. Let u(h) = 3*h**3 + 5*h**2 + 6. Calculate g*u(y) + 5*p(y). 3*y**3 + 1 Let w(m) = 1. Let v be (3 - 1)*(-5)/(-2). Let s(g) = -3*g + 3*g - 3 - 3*g + 2*g. Determine v*w(b) + 2*s(b). -2*b - 1 Let j(n) = 9*n**2 + 5*n - 5. Let q(o) = o**2 + o - 1. Give -2*j(a) + 10*q(a). -8*a**2 Let u(b) be the second derivative of -b**4/12 + b**3/3 + b**2 + 18*b. Let j(d) = 7*d**2 - 13*d - 13. Determine -6*j(g) - 39*u(g). -3*g**2 Let n(t) = t**3 - 4*t - 2. Suppose 2*k + 0 - 2 = 0. Let r(g) = 5*g**2 - 1. Let y be r(k). Let m(w) = 3*w**3 - 11*w - 5. Calculate y*m(h) - 11*n(h). h**3 + 2 Let m(n) = 5*n - 3 + 0 + 5 - n. Let f(c) = c + 1. Suppose 2 = 3*s + 8. Let u(g) = -g**2 + 7*g - 6. Let w be u(4). What is s*m(o) + w*f(o)? -2*o + 2 Let h(x) be the first derivative of 4*x**3 + 7. Let a(k) = 119*k**2. What is 5*a(g) - 49*h(g)? 7*g**2 Let q(l) = -3*l**3 + 6*l - 5. Let o(f) = -f**3 + f - 1. Let s = 15 + -13. Suppose 2*x - s*t + 16 = -5*t, -4*x = 2*t + 24. Determine x*o(v) + q(v). 2*v**3 + v Let p(l) = -3*l**2 - 17*l - 6. Let n(f) = -f**2 + f - 1. Calculate -5*n(b) + p(b). 2*b**2 - 22*b - 1 Let m(t) = -t + 1. Suppose 5*i = 2*i - 3*v - 18, -5*v = 25. Let f(g) = 6 - 5 + 0. Give i*m(x) + 2*f(x). x + 1 Let d(h) = 59*h + 20. Let t(j) = -20*j - 7. Give -4*d(g) - 11*t(g). -16*g - 3 Let d(g) = -g + 17. Suppose m = -4*b + 7 + 3, -2*b = -6. Let z(c) = -16. Let x(i) = 19. Let p(r) = -4*x(r) - 5*z(r). Calculate m*d(q) + 9*p(q). 2*q + 2 Suppose 9*a - 1 = 10*a. Let f(l) = -l**2 - 3*l + 3. Let g(t) be the first derivative of t**2/2 - t + 1. Calculate a*f(m) - 3*g(m). m**2 Let p(l) = -l + 1. Let b(y) = -y - 6. Let o(q) = 1. Let r(u) = -b(u) - 4*o(u). Calculate p(w) - r(w). -2*w - 1 Let u(o) = o + 1. Let d(w) = 2*w**3 + 9*w + 4. Give -d(g) + 4*u(g). -2*g**3 - 5*g Suppose 0 = 4*z - 3*c + 27 - 10, 2*c = -3*z. Let w(n) be the second derivative of 2*n**3/3 + 5*n**2/2 + n. Let i(x) = -2*x - 2. Determine z*w(s) - 5*i(s). 2*s Let k(u) = -u + 1. Let p(r) = 6*r - 12. Let c(z) = -5*k(z) - p(z). Let h(g) = 3*g. Let a be h(2). Let f(v) = -v + 6. What is a*c(j) - 7*f(j)? j Let f(x) = -7*x**2 + 10*x - 2*x + x - 3*x - 1 - x**3. Let w(n) = -n + 0*n**2 + n**2 + 0*n**2. Calculate -f(z) - 6*w(z). z**3 + z**2 + 1 Let l(f) = 6*f + 7. Let z(g) = -7*g - 6. Let x(s) = 5*l(s) + 4*z(s). Let d be x(-6). Let b(u) = u**3 - 5*u + 6. Let o(p) = p - 1. Calculate d*b(k) - 6*o(k). -k**3 - k Let n(z) = 3*z**2 - 3*z + 13. Let f(l) = 2*l**2 + 6*l - 5. Let k(h) = 3*h**2 + 7*h - 4. Let r(v) = -5*f(v) + 4*k(v). Give 5*n(g) - 7*r(g). g**2 - g + 2 Let b(g) = -3*g**3 + 6*g**2 - 6*g - 6. Let c(w) = -w**3 + w**2 - w - 1. Let d be 24/18*9/2. What is d*c(q) - b(q)? -3*q**3 Let a = 7 + -4. Let v(w) = 6*w - w - 2*w**a + 5*w**2 - 2*w**3 + w**3. Let c(m) = 2*m**3 - 3*m**2 - 3*m. Calculate 10*c(d) + 6*v(d). 2*d**3 Let f(c) = -c. Let r = -9 - -7. Let j(g) = g + g + 2*g - g. Calculate r*j(l) - 9*f(l). 3*l Let z(g) = -g**3 + g. Let k(u) = -4*u. Give -k(j) - 4*z(j). 4*j**3 Let l(q) = -6*q + 7. Let r(k) = -3*k + 4. Determine -6*l(c) + 11*r(c). 3*c + 2 Let x(p) = 3*p**3 - 3*p - 4. Let f = -38 + 42. Let c(i) = 6*i**3 - 7*i - 9. What is f*c(w) - 9*x(w)? -3*w**3 - w Let q(u) = u. Let i(r) = -2*r - 9. Give i(z) + 3*q(z). z - 9 Let m(x) = 7*x - 9. Let d(c) = 3*c - 4. Let l(b) = 9*d(b) - 4*m(b). Let v(i) = 6*i - 2. Give 5*l(r) + v(r). r - 2 Let d(u) = u**3 - u**2 + u. Let f(p) = 8*p**3 - 6*p**2 + 6*p + 39. What is 6*d(v) - f(v)? -2*v**3 - 39 Let a(p) = -8*p**3 + p**2 - 4*p - 4. Let m(i) = -7*i**3 + i**2 - 3*i - 3. Determine 3*a(d) - 4*m(d). 4*d**3 - d**2 Let x(c) = -17*c + 13. Let h(w) = 4*w - 3. Let j be 8/20 - (-86)/10. What is j*h(o) + 2*x(o)? 2*o - 1 Let t(s) = 4*s + 3. Let p be 8/(-20) + 2379/(-15). Let b be 2/(-8) - p/12. Let d(o) = -6 + 2 + 7 + b*o + 7. What is 2*d(l) - 7*t(l)? -2*l - 1 Let y(i) = -9*i**2 - 3*i - 5. Let r(q) = -9*q**2 - 4*q - 6. Give 3*r(m) - 4*y(m). 9*m**2 + 2 Let w(h) = -h**3 + 2*h**2 + 3. Let u(l) be the second derivative of -3*l**5/20 + 5*l**4/12 + 7*l**2/2 - 5*l. What is 2*u(r) - 5*w(r)? -r**3 - 1 Let g be (-9)/(-6)*(-28)/21. Let d(b) = 3*b**3 - 2*b**2 - 3*b + 2. Let i(o) = -13*o**3 + 9*o**2 + 13*o - 9. Calculate g*i(k) - 9*d(k). -k**3 + k Let k(c) = c. Let t(g) be the second derivative of g**4/6 - 2*g**3/3 + g. Let p = 4 + -3. What is p*t(i) + 4*k(i)? 2*i**2 Let o(c) = c - 6. Suppose 0 = 4*n - 6 + 2. Let y(x) = 3 + n + x - 5 - 4. Determine -5*o(w) + 6*y(w). w Let w(r) = 4*r. Suppose 20 = -5*n + 5*d, -5*n - 6 = 4*d - 2*d. Let p(i) = -7*i + 2*i + 0*i. Suppose q = 2*q + 3. What is n*p(o) + q*w(o)? -2*o Let r(j) = -5*j**3 - 2*j**2 - 2*j. Suppose 0 = y + 1 + 2. Let x(a) = 6*a**3 + 3*a**2 + 3*a. Give y*r(v) - 2*x(v). 3*v**3 Suppose 0 = b - 3*k + 11, 4*b + 3*k - 4 = 12. Let a(l) = -2*l**2 + 2*l + 3. Let q(d) = d + 1. What is b*a(u) - 3*q(u)? -2*u**2 - u Suppose 3*n = 7*n - 92. Suppose -1 = -4*h + n. Let y(o) = 23*o**2 + 6. Let k(i) = 8*i**2 + 2. Calculate h*y(r) - 17*k(r). 2*r**2 + 2 Let s(d) = 3*d + 0 - 5*d**2 - 4 + 2 - 4. Let b(n) = 4*n**2 - 3*n + 5. What is 6*b(q) + 5*s(q)? -q**2 - 3*q Let o(a) = a**2 + a. Let c(f) = 6*f**2 - 14*f + 8. Let k(z) = z**2 - z + 1. Let x be (-29)/3 + 2/(-6). Let q(b) = x*k(b) + c(b). Determine 6*o(m) + q(m). 2*m**2 + 2*m - 2 Let n(l) = -l**3 - 2*l**2 - 5*l - 2. Let h(b) = 0 + 2*b**3 - 3 + 11*b + 2*b**2 + 8 + 3*b**2. Calculate 2*h(d) + 5*n(d). -d**3 - 3*d Let w(h) = h**3 - 1. Let x(b) = 8*b**3. Give -18*w(a) + 2*x(a). -2*a**3 + 18 Let x(j) = 36*j - 15. Let z be (-36)/2*(-10)/(-6). Let f(u) = -5*u + 2. Give z*f(y) - 4*x(y). 6*y Let i(l) = 15*l - 4. Let w be 1/((-63)/33 - -2). Let t(s) be the second derivative of 4*s**3/3 - s**2 - 14*s. Give w*t(c) - 6*i(c). -2*c + 2 Let h(w) = 5*w**2 + w + 2. Let d(c) be the first derivative of -11*c**3/3 - c**2 - 5*c + 12. Calculate -3*d(k) - 7*h(k). -2*k**2 -
{ "pile_set_name": "DM Mathematics" }
Which is the third smallest value? (a) l (b) -2 (c) 3/5 c Let n = 169 + -170. Which is the second smallest value? (a) -1/4 (b) 5 (c) 3.4 (d) n a Let s = 2.0304 - 0.0504. Let p = -0.08 + 0.1. Let t = p + s. What is the smallest value in t, -2, -5? -5 Let p = -0.58 + 0.88. What is the third biggest value in 1/2, -0.064, p? -0.064 Let l = -246 + 5164/21. What is the smallest value in -2, -1, 1/3, l? -2 Let w = 2110.106 - 2110. What is the third biggest value in -0.5, -0.3, w? -0.5 Let v = -25 - -13. Let k = v + 11.6. Let z = 101/165 - -3/55. Which is the third smallest value? (a) z (b) -0.5 (c) k a Let l = 98 - 100. What is the fourth smallest value in 9/7, 1/4, l, -5? 9/7 Let j = -0.2633 - -0.2633. What is the second smallest value in j, -3/17, 0.4? j Let v be -2 - (1 + (-21)/6). Let q = -4.609 - 0.391. What is the smallest value in q, v, 3/7, 1? q Let l = -21 + 1. Suppose -4*x - 4*j = -76, x + 3*x - 5*j = 40. Let s be (3/14)/(x/l). What is the biggest value in 0.1, s, -1/4? 0.1 Suppose 0 = -9*v + 4*v + 20. Suppose 0*r = -v*r. Suppose r = -4*f - 2 - 2. Which is the third smallest value? (a) f (b) 5 (c) 3/2 b Let j = 277.21 + -276. Let k = j - 0.01. Let a = k - -0.8. What is the smallest value in a, 3, -4? -4 Let g = -426 + 429. Which is the second biggest value? (a) 5 (b) g (c) 6 (d) 2 a Let y = -0.06 - -0.66. Which is the smallest value? (a) 2 (b) -4 (c) y b Let x = -0.3479 + -0.0521. What is the second smallest value in x, 2, -4/5? x Let p = 1.4 - 1. Let v = 0.5 + -0.3. Let x = 2.724 - -0.276. Which is the second biggest value? (a) p (b) x (c) v a Let t = -114.33 + 114.6. Which is the smallest value? (a) -4/7 (b) 1 (c) t (d) -5 d Let w = -2035 - -2039. Which is the biggest value? (a) -2/15 (b) -1/158 (c) -4 (d) w d Suppose 3*y = -4*x - 65, -23*x = -19*x - 4*y + 44. Which is the third biggest value? (a) 0.1 (b) x (c) 23 b Let w = 0.2 - 0.3. Let u be -1*15/10*12/(-9). Let d = -0.5 + 0.7. Which is the third biggest value? (a) w (b) d (c) u a Let k = 0.064 - 4.064. Which is the biggest value? (a) k (b) 0.1 (c) -1.9 b Let w = 7783/15 - 519. What is the second smallest value in 0.4, -0.01, w, -1/11? -1/11 Let u(m) = -10*m + 0 + 19 + 55. Let s be u(7). Which is the third biggest value? (a) s (b) 3/7 (c) -7 c Let g = 467 - 2333/5. Which is the third smallest value? (a) -2 (b) -7.3 (c) g c Let x = -1789.5 - -1789. What is the fourth biggest value in x, 4, -1, 3? -1 Let x = -4 - -7. Let i = 7 + -9. Let g = i - -1.6. Which is the third biggest value? (a) -6 (b) g (c) x a Suppose -3 = -3*z + 3*t, 3*z + 5*t + 20 + 1 = 0. Let n be (18/4)/3 + (-6)/2. Which is the biggest value? (a) -3 (b) z (c) n c Let g be (-4 - (-4)/2)*(-1)/4. Which is the third smallest value? (a) -3 (b) -2 (c) g c Suppose -10*d = 3*d - 52. Let q be d/22 - (-9)/1056*-36. What is the third smallest value in 3, q, 0.2, -2/7? 0.2 Let g be ((-9)/27)/(1/5). Which is the second smallest value? (a) 53 (b) g (c) 5 (d) -4 b Let a = 35/2 - 17. Let r = 40 - 51. What is the biggest value in 1/4, r, a? a Suppose -5*f - 8 = 2. Let r(g) = -65*g - 2. Let i be r(f). Let w = -898/7 + i. Which is the third smallest value? (a) w (b) 2/9 (c) -3 b Let j = -1021 + 1019. What is the third biggest value in j, 5, -0.3? j Let b be (183/854)/((-12)/7). What is the fourth biggest value in -0.1, 42, 0.1, b? b Let t = -0.71 - -0.91. Let b = -0.24 - -0.41. What is the third biggest value in 3, t, b? b Let v = -0.1 - 0.4. Let j = 7 + -8. What is the third biggest value in -0.1, j, v? j Let n be ((-830)/(-90) - 6) + -3. Which is the second biggest value? (a) n (b) -0.4 (c) -2 b Let s = -2.564 - -0.564. Let m = 7 + -2. What is the third biggest value in s, -5, m, -2/7? s Let o = 1834 + -3591/2. Let k = o + -47. What is the second smallest value in -2/11, k, 0.1? -2/11 Let v = 2453/9 - 273. Which is the smallest value? (a) v (b) 2/3 (c) -0.7 c Let h = 2.94 - 0.74. Let a = h - 2. What is the smallest value in 5, a, -0.5? -0.5 Let x = 0.199 + -0.599. Which is the smallest value? (a) x (b) 0.1 (c) -5 (d) 1 c Let w = -16.862 + 17. Let j = w - 10.038. Let y = j - -10. What is the third smallest value in y, -0.4, -3/2? y Let l = -2 + 1. Which is the fourth biggest value? (a) 1 (b) -3 (c) l (d) 0.3 b Let g = -1/168 - -113/168. Which is the second biggest value? (a) 29 (b) -1/4 (c) g c Let u = -644 - -643. Which is the second biggest value? (a) -7 (b) u (c) 0 (d) 5 c Let i = 33.592 + -0.592. Which is the biggest value? (a) 3 (b) -2/9 (c) i c Let y = -0.28 - -0.3. Let w = -1.02 + y. What is the third biggest value in -5, 0.3, w, -3? -3 Let p = 26/5 - 22/5. Let q be (-2)/((-7)/((-28)/16)). What is the third smallest value in q, 1/4, p? p Suppose i = -3*i + 56. Suppose -3*c + u = -i, 4*c + 2*u = 2 + 20. Let n be 1/5*(-15)/c. What is the second smallest value in 1, -1/2, n? -1/2 Let u = 58 - -26. Let q = 89 - u. Let n = -819/8 + 102. What is the second biggest value in q, -0.1, n? -0.1 Let j = -0.034 - -0.023. Let o = 0.189 - j. Let w = 2.03 - 0.03. Which is the smallest value? (a) w (b) -0.1 (c) o b Let r = -1376 - -1375.5. Let i = 2 - 3. Which is the third smallest value? (a) -0.4 (b) i (c) 1 (d) r a Let j be (5/((-25)/6))/(3/(-2)). What is the smallest value in -4, j, -0.1, 1? -4 Let m = -71.5 - -6.5. Let t = m + 64. What is the second biggest value in 3, -0.08, t? -0.08 Let p = -364/555 + -2/185. Let y = 0.13 + -5.13. What is the third smallest value in y, 2/11, p, 6? 2/11 Let g = -1618 + 8062/5. What is the second biggest value in g, -0.1, 0.8? -0.1 Let c = -1526 - -1525.6. What is the third smallest value in -2/623, c, -1/3? -2/623 Let x be (-14)/120 + -4 + (-58)/(-15). Which is the biggest value? (a) -0.3 (b) 177 (c) x b Let z = -26.051 - -0.051. Let q = -21 - z. Which is the third smallest value? (a) q (b) -1/9 (c) 0.5 a Let h = -9.2 + 10. Let o = h + -1.8. Let k = o - 4. What is the smallest value in k, 3/4, 0.2? k Let d be (-1)/(-3) - 232/12. Let g = d + 7. Let z be g/(-78) - 0/(-2). Which is the third smallest value? (a) 1/3 (b) z (c) -1/4 a Let s = 28.7 - -0.9. Let l = s - 32. Let j = -2.1 - l. What is the second biggest value in j, -1, 2? j Let u = 0.1 + -0.06. Let j = 30 + -105.5. Let w = -76 - j. What is the smallest value in -1, w, u? -1 Let v(o) = 8*o**3 + 22*o**2 - 4*o + 2. Let p be v(-3). Let k = -0.03 - -0.33. Let h = 0.5 - k. Which is the second smallest value? (a) h (b) 1.1 (c) p a Let q = 609 - 613. Let g = -0.77 + 0.8. Let m = g + 2.97. Which is the second biggest value? (a) q (b) -2/11 (c) m b Let i = -1404/7601 - -2/691. Let k = 40 - 38. Which is the smallest value? (a) k (b) -1/4 (c) i (d) -1/2 d Let i = -856.8 - -779. Let g = i - -78. What is the third smallest value in 1/4, g, -5, -2/29? g Let p = 0.0337 - -5.9663. What is the third smallest value in 14/3, -0.4, p? p Suppose 9*c = 4*c - 115. Let p = c - -27. What is the third smallest value in p, -0.1, 2? p Suppose 9*f - 276 = -231. Let o = 5 + -2. Let p = -103/70 + 15/14. What is the biggest value in p, f, o? f Let i = -315 - -346. Suppose 2*w - 160 = 7*w. Let x = i + w. Which is the third biggest value? (a) x (b) -3 (c) -0.4 b Let s be (-98)/(-1372)*(-8)/2. What is the fourth biggest value in s, 1/2, -2, -6? -6 Let y = 403/498 + 2/83. Which is the smallest value? (a) -0.5 (b) -25 (c) -4 (d) y b Let v = 0.0652 + -0.4652. Let y be ((4/(-10))/(-2))/(-1). What is the third smallest value in y, 0.2, v? 0.2 Let b = -1591/3 + 531. Let p = 8 - 4. What is the second biggest value in b, -2/3, -0.3, p? b Let x = 6932/5 - 1386. Which is the third smallest value? (a) x (b) 2/11 (c) -29/3 a Let u = 2.2 + -2. Let s = 0.8 + -0.2. Let x = -1 + s. What is the second smallest value in x, u, 2? u Suppose 0*u - 15 = u. Let o be (5/u)/((-2)/12). Let p = -2 + 2.1. What is the second biggest value in -4, o, p? p Let g = -0.057 + -0.443. Let p = g - 8.5. Which is the biggest value? (a) -1/5 (b) p (c) -1/4 (d) 0 d Let f = -5 + 5. Suppose 5*h + 40 = -4*k, 2*h - 2*k + 0 - 2 = f. Let q(s) = s + 4. Let w be q(2). What is the second smallest value in h, w, 4? 4 Let c = -0.1576 + 0.0376. What is the third smallest value in 2, -0.2, 0.02, c? 0.02 Let v be 1/(
{ "pile_set_name": "DM Mathematics" }
1792*g**4/11 + 536402*g**3/11 + 53994620*g**2/11 + 106387192*g/11 + 52927184/11. 2*(g + 1)**2*(g + 298)**3/11 Solve 8*w**2 + 578*w - 438 = 0 for w. -73, 3/4 Determine h so that 2*h**3 - 63*h**2/4 - 2*h = 0. -1/8, 0, 8 What is m in -4*m**4/7 - 44*m**3/7 + 156*m**2/7 - 164*m/7 + 8 = 0? -14, 1 Solve -5*a**2 - 115*a - 110 = 0 for a. -22, -1 Suppose 4*k**3 + 4*k**2 - 4360*k + 4352 = 0. Calculate k. -34, 1, 32 What is v in -4*v**4/5 - 4652*v**3/5 - 1350232*v**2/5 + 1364208*v/5 + 2709792/5 = 0? -582, -1, 2 Suppose c**3 + 23*c**2/7 + 20*c/7 + 4/7 = 0. Calculate c. -2, -1, -2/7 Factor 4*p**5 - 12*p**3 - 8*p**2. 4*p**2*(p - 2)*(p + 1)**2 Let 80*p**3 + 6280*p**2 - 9555*p + 3600 = 0. Calculate p. -80, 3/4 Factor -i**2 + 24*i - 144. -(i - 12)**2 Solve -f**3/5 + 4*f**2 + 156*f/5 = 0. -6, 0, 26 Find w, given that -5*w**4/6 - 20*w**3 - 365*w**2/6 + 125*w + 500/3 = 0. -20, -5, -1, 2 Factor -2*v**3 - 116*v**2 - 1682*v. -2*v*(v + 29)**2 Factor 5*s**4 - 128*s**3 + 408*s**2 - 256*s - 176. (s - 22)*(s - 2)**2*(5*s + 2) Solve 2*d**4 - 18*d**3 + 26*d**2 + 18*d - 28 = 0 for d. -1, 1, 2, 7 Let i**5/3 - 8*i**3/3 - 2*i**2 + 7*i/3 + 2 = 0. What is i? -2, -1, 1, 3 Factor 5*y**5 - 35*y**4 - 45*y**3 + 35*y**2 + 40*y. 5*y*(y - 8)*(y - 1)*(y + 1)**2 Factor -2*l**3/3 + 298*l**2/3 - 11248*l/3 + 10952/3. -2*(l - 74)**2*(l - 1)/3 Suppose -g**3 - 9*g**2 + 25*g + 33 = 0. Calculate g. -11, -1, 3 Determine u so that -2*u**2/11 + 16*u/11 + 40/11 = 0. -2, 10 Determine c, given that -c**4/4 + 15*c**3 + 125*c**2/4 - 15*c - 31 = 0. -2, -1, 1, 62 Factor -4*w**2/3 - 68*w/3 - 56. -4*(w + 3)*(w + 14)/3 Factor 2*h**3 - 126*h**2 + 2550*h - 16250. 2*(h - 25)**2*(h - 13) Determine k, given that -2*k**4/13 - 68*k**3/13 - 570*k**2/13 = 0. -19, -15, 0 Suppose 4*s**4/5 - 3116*s**3 + 15163232*s**2/5 + 15178816*s/5 = 0. What is s? -1, 0, 1948 Find n, given that -3*n**5/7 + 15*n**4/7 + 3*n**3/7 - 15*n**2/7 = 0. -1, 0, 1, 5 Solve d**2/9 - 62*d/9 - 335/9 = 0. -5, 67 Factor -j**5 - 2*j**4 + j**3 + 2*j**2. -j**2*(j - 1)*(j + 1)*(j + 2) Factor -25*n**4 - 90*n**3 + 40*n**2. -5*n**2*(n + 4)*(5*n - 2) Find f such that 3*f**5/2 - 20*f**4 + 517*f**3/6 - 135*f**2 + 262*f/3 - 20 = 0. 2/3, 1, 5, 6 Determine v, given that 4*v**3 - 8*v**2 - 36*v + 72 = 0. -3, 2, 3 Determine k, given that -4*k**2/7 + 1532*k/7 - 9048/7 = 0. 6, 377 Determine r, given that 3*r**3/8 - 9*r**2/2 - 309*r/8 - 135/4 = 0. -5, -1, 18 Find m such that -2*m**3 + 10*m**2 + 322*m - 330 = 0. -11, 1, 15 Factor 3*o**3 + 33*o**2 - 42*o - 72. 3*(o - 2)*(o + 1)*(o + 12) Factor -4*l**2 + 72*l + 76. -4*(l - 19)*(l + 1) Determine y so that -12*y**2/5 - 3*y + 18/5 = 0. -2, 3/4 Factor w**5 - 6*w**4 - 108*w**3 + 1080*w**2 - 2592*w. w*(w - 6)**3*(w + 12) Factor -4*h**3/7 + 4*h/7. -4*h*(h - 1)*(h + 1)/7 Find o, given that -2*o**5 + 2*o**4 + 24*o**3 - 56*o**2 + 32*o = 0. -4, 0, 1, 2 Factor 4*c**2 - 596*c + 3976. 4*(c - 142)*(c - 7) Determine z, given that z**5/7 - 23*z**4/7 + 187*z**3/7 - 633*z**2/7 + 792*z/7 - 324/7 = 0. 1, 6, 9 What is k in -k**5/3 - 11*k**4/3 - 16*k**3/3 + 116*k**2/3 + 160*k/3 - 448/3 = 0? -7, -4, 2 Factor 63*k**2 + 471*k + 66. 3*(3*k + 22)*(7*k + 1) Determine c, given that -5*c**2 + 55*c - 50 = 0. 1, 10 Factor -3*p**3 + 12*p**2 + 36*p. -3*p*(p - 6)*(p + 2) Find p, given that -10*p**3/3 - 26*p**2 - 104*p/3 + 8 = 0. -6, -2, 1/5 Factor 465*v**2 - 483*v + 18. 3*(v - 1)*(155*v - 6) Solve 2*g**4/9 - 16*g**3/9 + 14*g**2/3 - 44*g/9 + 16/9 = 0. 1, 2, 4 Solve 5*b**4 - 20*b**3 - 55*b**2 + 330*b - 360 = 0. -4, 2, 3 Factor v**2/4 + 129*v/4 + 127/2. (v + 2)*(v + 127)/4 Factor b**3/2 - 1641*b**2/2 + 337020*b - 336200. (b - 820)**2*(b - 1)/2 What is n in n**5/5 - 67*n**4/5 - 85*n**3 - 937*n**2/5 - 872*n/5 - 292/5 = 0? -2, -1, 73 What is j in -4*j**4 - 728*j**3 + 19008*j**2 - 156160*j + 421888 = 0? -206, 8 Factor -164*f**2 + 320*f + 16. -4*(f - 2)*(41*f + 2) Factor -3*j**4/7 + 9*j**3 - 486*j**2/7 + 1620*j/7 - 1944/7. -3*(j - 6)**3*(j - 3)/7 Find p such that 3*p**5 + 18*p**4 + 27*p**3 = 0. -3, 0 Factor 2*r**5 + 8*r**4 + 6*r**3 - 8*r**2 - 8*r. 2*r*(r - 1)*(r + 1)*(r + 2)**2 Factor 5*y**5 - 55*y**4 + 150*y**3 + 280*y**2 - 1760*y + 1920. 5*(y - 4)**3*(y - 2)*(y + 3) Factor 3*b**5/2 - 3*b**4 - 9*b**3/2. 3*b**3*(b - 3)*(b + 1)/2 Suppose 3*y**5/2 - 93*y**4/2 + 75*y**3 + 348*y**2 = 0. What is y? -2, 0, 4, 29 Factor 2*u**2/15 - 42*u. 2*u*(u - 315)/15 Suppose -5*z**4 - 810*z**3 - 33605*z**2 - 64800*z - 32000 = 0. What is z? -80, -1 Factor o**2/8 + 36*o + 855/8. (o + 3)*(o + 285)/8 Let u**4 + 156*u**3 - 636*u**2 + 640*u = 0. Calculate u. -160, 0, 2 Find a, given that -a**5 - 7*a**4 - 6*a**3 + 22*a**2 + 7*a - 15 = 0. -5, -3, -1, 1 Determine l so that 4*l**4 - 12*l**3 - 12*l**2 + 28*l + 24 = 0. -1, 2, 3 Solve 2*r**4 + 24*r**3 = 0 for r. -12, 0 Suppose -28*r**5 + 984*r**4 - 10052*r**3 + 24712*r**2 - 17664*r + 2048 = 0. What is r? 1/7, 1, 2, 16 Factor -3*t**4 - 114*t**3 + 504*t**2. -3*t**2*(t - 4)*(t + 42) Factor 3*s**3 - 30*s**2 + 81*s - 54. 3*(s - 6)*(s - 3)*(s - 1) What is l in 5*l**3 + 1110*l**2 - 5*l - 1110 = 0? -222, -1, 1 Determine m, given that 3*m**5/2 - 6*m**4 - 18*m**3 + 96*m**2 - 96*m = 0. -4, 0, 2, 4 Suppose 2*a**5/3 - 8*a**4/3 - 16*a**3 + 64*a**2/3 + 416*a/3 + 128 = 0. Calculate a. -2, 4, 6 Factor c**5 + 21*c**4 + 155*c**3 + 531*c**2 + 864*c + 540. (c + 2)*(c + 3)**3*(c + 10) Find c such that c**2 + 20*c + 75 = 0. -15, -5 Find k, given that 18*k**5/13 - 4*k**4/13 - 864*k**3/13 - 2112*k**2/13 + 512*k/13 = 0. -4, 0, 2/9, 8 Solve -3*a**3 + 4233*a**2 - 1491072*a - 1495308 = 0 for a. -1, 706 Let 4*h**3/5 + 176*h**2/5 + 336*h/5 = 0. Calculate h. -42, -2, 0 Solve 4*b**2/7 + 3720*b + 6054300 = 0. -3255 Factor 2*u**2 - 46*u + 152. 2*(u - 19)*(u - 4) Factor -v**3/7 - 11*v**2/7 - 18*v/7. -v*(v + 2)*(v + 9)/7 Solve -2*h**2/3 + 23588*h/3 - 69549218/3 = 0. 5897 Factor 3*b**3 + 21*b**2 + 36*b. 3*b*(b + 3)*(b + 4) Factor 2*p**3/15 - 304*p**2/15 - 2*p/15 + 304/15. 2*(p - 152)*(p - 1)*(p + 1)/15 Solve -2*a**5 + 24*a**4 - 46*a**3 - 72*a**2 = 0 for a. -1, 0, 4, 9 Determine b so that b**2/4 - 7*b/4 + 5/2 = 0. 2, 5 Solve 2*q**5/5 + 4*q**4/5 - 16*q**3/5 - 32*q**2/5 + 32*q/5 + 64/5 = 0 for q. -2, 2 Suppose 2*p**2/11 + 72*p/11 + 598/11 = 0. Calculate p. -23, -13 Factor -2*r**3/13 + 50*r**2/13 + 2*r/13 - 50/13. -2*(r - 25)*(r - 1)*(r + 1)/13 Factor -3*u**2/5 - 177*u/5 + 366/5. -3*(u - 2)*(u + 61)/5 Factor -t**4 - 9*t**3 - 7*t**2 + 9*t + 8. -(t - 1)*(t + 1)**2*(t + 8) Let 2*t**3/13 + 30*t**2/13 + 126*t/13 + 162/13 = 0. What is t? -9, -3 Factor -5*v**2/3 + 49940*v/3 - 124700180/3. -5*(v - 4994)**2/3 Determine r, given that -2*r**5/7 + 18*r**4/7 + 2052*r**3/7 + 540*r**2/7 - 619650*r/7 - 4920750/7 = 0. -15, 27 Find l such that 3*l**3 - 27*l**2 + 72*l - 60 = 0. 2, 5 Solve 3*t**3/2 - 15*t**2 + 69*t/2 - 21 = 0 for t. 1, 2, 7 Suppose 5*g**4 - 1485*g**3 - 4485*g**2 - 4495*g - 1500 = 0. What is g? -1, 300 Factor 2*g**3 - 28*g**2 + 26*g. 2*g*(g - 13)*(g - 1) Let -3*n**4 + 12*n**3 + 345*n**2 + 1050*n = 0. Calculate n. -5, 0, 14 What is s in -s**5 - 5*s**4 + 7*s**3 + 5*s**2 - 6*s = 0? -6, -1, 0, 1 Factor -3*d**3 + 189*d**2 - 186*d. -3*d*(d - 62)*(d - 1) Solve -3*l**2/5 + 15*l + 78/5 = 0 for l. -1, 26 Solve -4*w**4 - 40*w**3 - 132*w**2 - 176*w - 80 = 0. -5, -2, -1 Factor -9*l**2/4 + 69*l/2 + 24. -3*(l - 16)*(3*l + 2)/4 Determine v, given that v**2/4 + 115*v/4 + 57/2 = 0. -114, -1 What is p in 4*p**4 + 32*p**3 - 4*p**2 - 32*p = 0? -8, -1, 0, 1 Suppose -3*k**5 - 27*k**4 - 93*k**3 - 153*k**2 - 120*k - 36 = 0. Calculate k. -3, -2, -1 Determine l so that -2*l**4/13 - 10*l**3/13 - 4*l**2/13 + 16*l/13 = 0. -4, -2, 0, 1 Factor -3*v**3 + 108*v**2 - 105*v. -3*v*(v - 35)*(v - 1) Find m, given that 2*m**3/9 + 10*m**2/9 + 14*m/9 + 2/3 = 0. -3, -1 Determine d so that 2*d**4 + 146*d**3 + 562*d**2 + 694*d + 276 = 0. -69, -2, -1 Determine z, given that -14*z**4 - 66*z**3 + 34*z**2 + 66*z - 20 = 0. -5, -1, 2/7, 1 Solve g**4/2 - 64*g**3 - 129*g**2/2 = 0. -1, 0, 129 Factor -2*w**3/9 - 56*w**2/9 - 442*w/9 - 676/9. -2*(w + 2)*(w + 13)**2/9 Solve -2*c**4/5 + 12*c**3/5 + 78*c**2/5 + 32*c/5 - 24 = 0. -3, -2, 1, 10 Determine y, given that 20*y**2 - 55*y - 15 = 0. -1/4, 3 Solve -9*b**5 + 804*b**4 + 575*b**3 - 3126*b**2 - 2156*b - 360 = 0. -2, -1/3, 2, 90 Solve -3*w**3/8 - 381*w**2/4 - 4491*w/8 - 837 = 0. -248, -3 Let -2*l*
{ "pile_set_name": "DM Mathematics" }
m be 3 - (-5)/(10/14). Suppose -4*j = 2*h + m, 9*j = -2*h + 7*j - 2. Let b = h - -7. Solve -3*o + b = -2*d + 25, 4*d - 12 = 0 for o. -3 Let y(f) = -f**3 + 8*f**2 + 122*f - 394. Let q be y(3). Solve -4*w = -7*u + 3*u - 24, -3*w + q = -2*u for u. -1 Let p(v) = v**3 - v**2 - 4*v + 6. Let t be p(0). Let s be 0/(1/1*t + -8). Solve -2*w - 14 = -4*c, 2*c - 5*c - 2*w = s for c. 2 Suppose 0 = i + 2*u - 6, 2*i - 5 = 63*u - 60*u. Solve 4*m = -b - m - 3, i*b - 2*m - 10 = 0 for b. 2 Suppose -25*o + 24*o = -7*x + 38, -2*x = 5*o - 32. Solve 13*d - 15*d - 4*l = 14, 0 = -o*d + 3*l + 16 for d. 1 Suppose -38*u - 570 = -33*u. Let m = 9 + u. Let t be m/20*4/(-3). Solve -2*l + 0*l = -y + t, -14 = -4*y + l for y. 3 Let j(f) = -5*f + 2 - 12*f**2 - 6*f + f**3 - 2*f**3. Suppose -5*u = -h + 59, 73 = -4*u - 2*h + 37. Let v be j(u). Solve 0 = 2*i + y - 0 - v, 0 = 4*y for i. 1 Suppose 0 = b + 57 + 215. Let r be -3*((b/(-12))/(-2))/1. Let s = r + -34. Solve 2*x = -5*v - 20, s = x + 3*v + 4 + 7 for x. -5 Let u be ((-2)/(12*(-4)/(-12)))/(1/(-4)). Solve -i = -v + u*v, 15 = -2*v + 3*i for v. -3 Suppose 12*o - 8*o - 108 = -23*o. Solve -o*d = -4*v - 20, 9 = -258*v + 257*v + 5*d for v. -4 Suppose 0 = -r - 2*w + 16, 2*w - 152 + 148 = 5*r. Solve -3*v - 29 = 4*i - 18, -r*v = 4*i + 10 for v. -1 Suppose -54 = -3*a - 5*j, -2*a + j + 33 = 36. Solve 4*i + 14 = 3*v, -a*i - 10 = -i - 3*v for i. -2 Let p be (-4)/(-34) - 2985/85. Let n be 3 + -5 + p/(-5). Solve 5*y - 5 = n*g - 0*y, 2*y = -g + 11 for g. 3 Suppose -45*z + 1684 = 376*z. Let j = 9 + -5. Solve 4*h - h - 2*d = 16, -j*d = z*h - 8 for h. 4 Let x = 16 - 20. Let d be x*(-3 - -4) - -8. Suppose 0 = 6*b - b + 25, 0 = 3*i + d*b + 5. Solve -2*w = -5*q - i - 2, 0 = w - 3*q - 5 for w. -4 Suppose 3*r + 3*q - 39 = 0, -q = -16*r + 18*r - 27. Solve p + 3*z - r = 0, z + 28 = 4*p + 6*z for p. 2 Suppose 12*h = 180 - 60. Solve -3*w + 7 = -2*u - h, 0 = -5*w + 2*u + 23 for w. 3 Let z be ((-5)/(-5))/(-2 - 2*(-21)/14). Solve -2*r - 3*d - 2 = -5*d, -2*d = -3*r - z for r. 1 Let m be 2/(-8) - (-102)/24. Let f(g) = -g**3 + 13*g**2 - 30*g - 2. Let o be f(10). Let c be ((-3)/2)/(1/o). Solve -4*x + 5*l = -33, m*x + 2*l = c*x - 8 for x. 2 Let c(t) = -168*t + 3031. Let x be c(18). Solve -w - 4 = 3*d, -9*w + 5*d + 3 = -x*w for w. -1 Suppose 38*k - 1050 = 8*k. Solve -22*d + 18*d - 5*p = -k, 3*d = 5*p for d. 5 Let m = -4504 - -4506. Solve -5*g + m*x = 10 + 5, 12 = -4*g - 4*x for g. -3 Let k(t) = -6*t - 9. Let o be k(-4). Let z(r) = r**3 - 2*r**2 - r. Let m be z(0). Solve 4*s + 3*w + o = -m*s, 0 = -3*w - 3 for s. -3 Suppose -2*y - 686 = -4*s + 156, -5*y - 3*s - 2040 = 0. Let h = y - -414. Solve g + 2 = -f, -2*f + h*f + 5*g = -14 for f. 1 Let o = 31 - 26. Suppose 34*k + 4*c = 32*k + 18, -2*c - 6 = -4*k. Solve k*y = 6, 17 - 3 = -o*m - 3*y for m. -4 Let i(t) = t + 2. Suppose -5*r + r + 4*j - 24 = 0, 2*j = -2*r - 4. Let z be 6/4*r/3. Let s be i(z). Solve 0*b = -3*k - 2*b - 13, 4*b - 4 = s for k. -5 Suppose -2*c - 15 = -5*c. Suppose -c*f + f - i + 135 = 0, -4*f + 3*i = -123. Solve -3*j + 8*j = 2*z + f, -2*z - 3*j = -7 for z. -4 Suppose 3*g - 61*l = -58*l + 390, -5*g + 4*l + 643 = 0. Let a = 209 - 330. Let o = g + a. Solve m + 0*m + o = s, 0 = 5*s - 15 for m. 1 Let b = -391 + 497. Let z(n) = 28*n**2 - 2*n. Let d be z(2). Let a = d - b. Solve g = 5*u - 6, -3*u + a = g - 0*u for g. -1 Let u = 19 + -26. Let t be 1*2 - (-5 - u). Let o = 5 - t. Solve 2*z + 3 = -v, 0*z + o = -2*z - 3*v for z. -1 Let o = -16196 + 16199. Solve 2*g + 13 = 3*m + 17, o*m = -2*g + 16 for m. 2 Let x = -8183 - -8188. Solve -4*o + 7 = c, 4 - 9 = x*c for o. 2 Suppose x + 5*s = -12, 5*x + 9*s - 90 = 14*s. Solve -x*v - 6 = 4*h - 18*v, -3*v = h + 10 for h. -4 Let w be (1898/(-169) - -11)*(-12 + -1). Solve -w*o = u - 5*u + 6, 3*u - 6 = 3*o for o. -2 Let p = -34 + 39. Suppose p*b = -b + 126. Suppose -6 + b = 5*d + 3*w, 20 = -4*d + 4*w. Solve 4*y - 7 = 3*a + 7, y - 3*a + 1 = d for y. 5 Suppose 3*r = -3*h + 24, 10*r + 10 = 13*r - 4*h. Let m be (32/44)/(r/33). Solve 2*f + 13 = -k, -20 = m*f + 5*k + 15 for f. -5 Let o be 3/(4 - -17) + (-360)/(-126). Solve 0 = 3*f + 2*s - 3, 13 = -4*f + o*s for f. -1 Suppose 30 = -3*o + 3*c, -2*o - o = 5*c - 2. Let g = o + 10. Let y be (-12)/(-16) - (112/64)/(-7). Solve 4*q - g = l + y, -4*l - 20 = -5*q for q. 0 Suppose -h - 40 = -6*h + 4*y, -y = h - 8. Let j be 15*(-1240)/(-600) + -27. Solve 4*i = m + 3*m + h, 2*m - j = -2*i for m. 0 Let k(g) = -g**3 - 6*g**2 + 3*g + 49. Let b be k(-5). Solve 2*o + 16 = 3*w + 2*w, 0 = 3*w + 5*o + b for w. 2 Let v(h) = -h + 15. Let q be v(13). Suppose 3*w = 66*k - 62*k - q, -2*k = -4*w + 4. Solve 0 = y + 3*y - w*c - 30, 0 = 2*y - 5*c - 35 for y. 5 Let t(k) = 7*k - 36. Let b be t(-6). Let v = 81 + b. Solve 0 = v*f - 4*p - 15, -5 = -f - 2*p for f. 5 Let c be 95/(-19) - (-3 + -2). Solve 2*y + 17 = 3*y + 4*p, c = -3*y + 3*p + 6 for y. 5 Let a(o) = -2*o**2 + 28*o + 1. Let k be a(11). Suppose -3*h - 70 = -3*s - k, -4*s + 13 = -h. Solve 35 = -5*q + 5*b, 2*b + h = -3*q - b for q. -4 Let i = 7 + -4. Suppose 49*o - 118 = -10*o. Suppose 0 = 4*n + 8*l - 4*l - 16, 2*n = o*l. Solve -5*d = f + 23, -i*d - n*d - 25 = 0 for f. 2 Let p = -1088 + 1091. Solve 0 = -l - o, -7*o = -p*l - 3*o for l. 0 Let h(a) = 542*a + 2743. Let u be h(-5). Solve -12 = 3*y, 5*y + 25 = -u*d + 28*d for d. -1 Let t(p) = -p**3 + 12*p**2 + 20*p - 15. Let x be t(13). Suppose 101*d + x = 120*d. Solve 3*h + 3*z = 4*z + 2, d = 4*h - 2*z for h. 0 Suppose 7*s = 4*s - 2*a + 1454, 3*a - 966 = -2*s. Let i be 72/252 + s/14. Suppose -5*v + 16 - 1 = 0. Solve v*b = -4*p - 2*b + i, -2*b = 2*p - 16 for p. 5 Let v be (2 + 1 + -2)*37. Let x be v - (4/(-12)*-9 - 1). Suppose x = 6*y - 7. Solve -5*c + 3*t = 5*t - y, -t + 2 = c for c. 1 Suppose -1930*m - 6650 = -1937*m. Suppose -20 = -m*b + 946*b. Solve x = 4*o + 3*x + 10, 3*x + b = -4*o for o. -5 Let r(v) = v + 30. Let c be r(-17). Suppose l + 4*g = -0*g, -4*l - 3*g = -c. Solve u - 11 = -3*j, u - l*j = 3*u - 14 for u. -1 Suppose -648*i = -646*i + 76. Let b = i + 41. Solve l = v + b*v - 14, v + 6 = 5*l for v. 4 Let m = -3 - -2. Let t(g) = -7*g - 2. Let a be t(m). Suppose -18 - 7 = -a*x. Solve x*q - 6 = 3*y, 3*q = 2*y - 0*y + 4 for y. -2 Let c = 2579 + -2574. Solve 31*z - 28*z + 5*p = 5, -c*z = p - 23 for z. 5 Suppose 0*n = 2*n. Suppose 0 = f - n*f - 4. Suppose 4*s - f*g - 14 = 10, g - 10 = -3*s. Solve -2*q + 6 = -5*y, s*y + 14 = -q + 4 for y. -2 Suppose 191*c + 62*c + 18*c - 1355 = 0. Solve 3*w + 7*m - c = 6*m, 2*w - 1 = -3*m for w. 2 Suppose -304 = -14*i - 234. Solve i*j + 2*y - 5 = -14, -y = j for j. -3 Suppose 2*f = -2*m + 24, -3*f - 4*m + 48 = 3. Solve -4*d = f*s - 9, -21*s + 22*s = 2*d + 3 for s. 3 Let k(u) = -u**3 - 39*u**2 - 171*u - 28. Let f be k(-34). Suppose 37*y - 285 = 22*y. Solve -4*x - 2*p + f = -3*x, 4*x + 3*p = y for x. 4 Let r(c) = -63*c + 882. Let g be r(14). Solve 4*h + m - 4 = g, -3*h - 5*m = -4*m - 4 for h. 0 Suppose 6*b + 4*r + 13 = b, -5*r - 10 = 0. Let n be b/((-1)/(-5)*(-3 + 2)). Solve 20 = 3*z + 2*z - 4*k, z - k - n = 0 for z. 0 Let m(x) = 17*x - 165. Let h be m(10). Solve -82*j - h*q + 40 = -78*j, -5*q + 35 = 3*j for j. 5 Let q = -2813 + 2813. Solve q = 4*u + m + 12, -4*u = -12*m + 9*m + 28 for u. -4 Let u(q) = q**3 - 87*q**2 - 82*q - 524. Let n be u(88). Solve -4*a + 27 = -3*k, 8*a + n*k + 8 = 4*a for a. 3 Let p = 19 - 10. Suppose -12*z = -15*z + p. Let u(j) = -j**3 + 7*j**2 + 9*j - 5. Let b be u(8). Solve -b*v - 3*a + 11 = 26, 5*a = -z*v - 15 for v. -5 Suppose -532 = -15*s - 23*s. Suppose 8*t = -s + 54. Solve t*b + 15 = -5*i - 0, -i + 17 = -4*b for b. -4 Let z be 12/(-3)*-3*2/6. Suppose -4*a + 5*a - 41 = 3*q, 4*a - z*q = 124. Let c = a - 1. Solve y + 4*x = -4*y + c, 10 = 2*y + 4*x for y. 5 Suppose 2*x + 436 = -4*c, 226 = -5*c + 4*x - 345. Let h = c + 119. Solve -6 = -3*k - 4*n, -h = -4*k - 3*n + n for k. 2 Let m be 5*(-5 - -3)/(-2). Suppose 6*v = v + 2*n + 42, 3*v = m*n + 10. Suppose 4*y = -v*y + 28. Solve 9 = y*q - r - 0, -q - 5*r = 1 for q. 4 Let a be (-1)/2*(-2 - 4). Let b(j) = -20*j - 78. Let p be b(-4). Solve -9 + 23 = -p*u - m, -3*u = -a*m + 3 for u. -5 Let w = -102 + 230. Suppose 0 = -8*u + w - 112. Solve -2*n + 13 = -5*c, -u*c + 0*c = -4*n + 2 for c. -3 Let c be -9*(0 - -6)/(-54)*0. Solve c + 14 = u - 3*a, -5*a = 2*u + 27
{ "pile_set_name": "DM Mathematics" }
ment from {c: 3, x: 1, r: 1, m: 1, l: 1}? 1/42 Two letters picked without replacement from {h: 1, s: 2, v: 2}. What is prob of sequence vh? 1/10 Calculate prob of sequence yzy when three letters picked without replacement from rrzyuxyyzzxuy. 3/143 Three letters picked without replacement from {b: 1, l: 1, u: 2, m: 3}. What is prob of sequence umb? 1/35 Calculate prob of sequence ff when two letters picked without replacement from cyycyccufcfffccycf. 10/153 Two letters picked without replacement from moydmmmmmmttmommo. What is prob of sequence ty? 1/136 Two letters picked without replacement from aaaaaaaaaana. Give prob of sequence aa. 5/6 Three letters picked without replacement from eecrrecsgxr. Give prob of sequence crs. 1/165 Two letters picked without replacement from {h: 12, j: 1, r: 5}. What is prob of sequence rr? 10/153 Three letters picked without replacement from {w: 1, d: 3, k: 1}. What is prob of sequence dkw? 1/20 Calculate prob of sequence fff when three letters picked without replacement from {f: 4}. 1 Calculate prob of sequence pk when two letters picked without replacement from pkkkkwkjejwwekwejkj. 7/342 Two letters picked without replacement from nnnpmanpmm. Give prob of sequence ap. 1/45 Four letters picked without replacement from {e: 9, v: 5, i: 2, r: 2}. Give prob of sequence vrer. 1/816 What is prob of sequence zp when two letters picked without replacement from pzpppddpzpdpppp? 2/21 Calculate prob of sequence kul when three letters picked without replacement from {l: 1, u: 2, g: 2, j: 1, t: 1, k: 1}. 1/168 What is prob of sequence waws when four letters picked without replacement from sawwooo? 1/420 Calculate prob of sequence ac when two letters picked without replacement from nnncqancnnnnnnqn. 1/120 Three letters picked without replacement from ntnttwntnttpt. What is prob of sequence nwp? 1/429 Calculate prob of sequence fdu when three letters picked without replacement from {f: 2, u: 2, d: 4}. 1/21 Calculate prob of sequence ch when two letters picked without replacement from izcjrhh. 1/21 Calculate prob of sequence mw when two letters picked without replacement from mwwmwmwmwwwwmwwwmw. 4/17 Three letters picked without replacement from {l: 1, e: 8, s: 4}. What is prob of sequence ees? 56/429 Two letters picked without replacement from yyyyyyyyyynyyyyyyyny. What is prob of sequence ny? 9/95 What is prob of sequence iiiz when four letters picked without replacement from {i: 3, p: 5, z: 9, n: 3}? 3/6460 Calculate prob of sequence gcc when three letters picked without replacement from vgvcavgvggggvvvggvvc. 2/855 Calculate prob of sequence hpp when three letters picked without replacement from {h: 1, x: 5, p: 4, d: 1, t: 1, f: 3}. 2/455 Calculate prob of sequence ttm when three letters picked without replacement from tilceitm. 1/168 Three letters picked without replacement from qffqffh. What is prob of sequence qqh? 1/105 Two letters picked without replacement from {v: 1, k: 5, p: 5}. What is prob of sequence kv? 1/22 Two letters picked without replacement from {d: 3, t: 2, o: 2, y: 2}. What is prob of sequence to? 1/18 Four letters picked without replacement from {o: 8, g: 5, k: 5}. What is prob of sequence kgok? 5/459 What is prob of sequence aaaa when four letters picked without replacement from {i: 1, a: 7}? 1/2 Two letters picked without replacement from gggggggggggqggggggq. Give prob of sequence qq. 1/171 What is prob of sequence dzxd when four letters picked without replacement from {g: 3, d: 6, x: 5, z: 3, b: 1}? 5/816 Calculate prob of sequence kky when three letters picked without replacement from yyyyyyyyyyyhyyk. 0 Calculate prob of sequence gg when two letters picked without replacement from {g: 5, u: 2}. 10/21 Calculate prob of sequence vv when two letters picked without replacement from {y: 4, v: 2, z: 8}. 1/91 What is prob of sequence bb when two letters picked without replacement from {b: 4, a: 7, u: 4}? 2/35 What is prob of sequence huoh when four letters picked without replacement from oohhoouhohooodhoo? 5/1428 Calculate prob of sequence vpjv when four letters picked without replacement from vajpjjjjjaja. 0 Four letters picked without replacement from zzsfpppjzzspzsfssf. Give prob of sequence zjzz. 1/1224 Two letters picked without replacement from {w: 1, m: 5, x: 1, c: 3}. Give prob of sequence cm. 1/6 What is prob of sequence cc when two letters picked without replacement from pcppppccdpppcpcpcc? 7/51 Two letters picked without replacement from lllzlzyzyzzlz. Give prob of sequence yz. 1/13 What is prob of sequence jcww when four letters picked without replacement from jrqrwwrwrwqcjrqrq? 1/2380 Calculate prob of sequence vuvm when four letters picked without replacement from vmukuvsk. 1/420 Calculate prob of sequence hhv when three letters picked without replacement from {v: 3, e: 1, n: 3, h: 5}. 1/22 Calculate prob of sequence ddpp when four letters picked without replacement from dtbtptpzddp. 1/220 What is prob of sequence heey when four letters picked without replacement from {e: 7, h: 2, y: 9}? 7/680 What is prob of sequence xt when two letters picked without replacement from xrtpppppaaappapfappp? 1/380 Two letters picked without replacement from bytqqbyhbytktkb. Give prob of sequence kb. 4/105 Three letters picked without replacement from {e: 5, r: 1, n: 1, d: 3, c: 6, p: 3}. What is prob of sequence ppc? 2/323 Four letters picked without replacement from {p: 10, b: 2}. Give prob of sequence pppb. 4/33 Two letters picked without replacement from tfxds. Give prob of sequence ds. 1/20 Calculate prob of sequence ff when two letters picked without replacement from {u: 1, l: 4, f: 9, j: 2}. 3/10 Three letters picked without replacement from {a: 1, o: 7, j: 1, u: 1, d: 5, h: 2}. What is prob of sequence dua? 1/816 Four letters picked without replacement from {o: 6, z: 4, v: 3}. What is prob of sequence vovv? 3/1430 Two letters picked without replacement from {r: 2, p: 2, c: 1}. Give prob of sequence rc. 1/10 Three letters picked without replacement from xunxxxxnxqqxnqqxxux. Give prob of sequence nqx. 20/969 Four letters picked without replacement from bbdpbhbdbbbhbdbdhb. Give prob of sequence hhbb. 1/136 Four letters picked without replacement from {e: 7, h: 3}. What is prob of sequence ehhh? 1/120 Four letters picked without replacement from vurpavucrvr. What is prob of sequence uvca? 1/1320 Calculate prob of sequence at when two letters picked without replacement from {a: 6, t: 4, n: 10}. 6/95 Calculate prob of sequence iiii when four letters picked without replacement from iiyiyiywyy. 1/210 Calculate prob of sequence kikq when four letters picked without replacement from {t: 5, r: 5, k: 2, i: 5, q: 3}. 1/3876 Three letters picked without replacement from hmmmmmmmmhmmmmmmmhmm. What is prob of sequence hmh? 17/1140 Two letters picked without replacement from ytrtyyroo. What is prob of sequence oy? 1/12 Three letters picked without replacement from {v: 8, o: 4, x: 1, t: 2}. What is prob of sequence vtx? 8/1365 What is prob of sequence cxcx when four letters picked without replacement from xcccxdxxxdccxxx? 4/117 Two letters picked without replacement from {e: 2, a: 9}. What is prob of sequence ae? 9/55 Four letters picked without replacement from {s: 1, e: 2, p: 1, w: 4, g: 2}. What is prob of sequence eggw? 1/315 What is prob of sequence fk when two letters picked without replacement from {q: 3, g: 1, y: 3, f: 2, k: 2, m: 1}? 1/33 Two letters picked without replacement from bbbpbbpbbcbbbb. What is prob of sequence bb? 55/91 Three letters picked without replacement from {e: 2, f: 1, w: 8, p: 5, s: 1, n: 3}. What is prob of sequence nfp? 1/456 Four letters picked without replacement from {t: 2, y: 6, f: 4}. Give prob of sequence tfff. 2/495 Four letters picked without replacement from npppnn. Give prob of sequence pppn. 1/20 Calculate prob of sequence ff when two letters picked without replacement from fmffyyyymmy. 3/55 Three letters picked without replacement from {m: 2, e: 3, p: 1, t: 1, q: 8, k: 2}. Give prob of sequence qtq. 7/510 Calculate prob of sequence ujt when three letters picked without replacement from tujoojijj. 1/126 Four letters picked without replacement from {u: 7, r: 3, b: 2, m: 4,
{ "pile_set_name": "DM Mathematics" }
-3. Let z = 111.71 - 115.71. Which is greater: z or y? y Let y = 30 + -21. Let m = 906.03 + -912. Let x = 6 + m. Which is bigger: y or x? y Let c be (-2 + 3 + 0)/(275/25 - -804). Is c greater than -1? True Let a(h) = -19*h - 24. Let z be a(-6). Let l = z - 88. Let x be (6 - 7)*(l/2 - -12). Which is smaller: x or 1? x Let t(z) = -z**3 + 3*z**2 + 45*z + 252. Let f be t(10). Which is bigger: -43 or f? f Let f(a) be the first derivative of -4*a**3 + a**2/2 - 2. Let v be f(-1). Let q(k) = k**3 - 22*k**2 - 26*k + 57. Let u be q(23). Is u bigger than v? True Let a be (-6)/((-2 - -5)*(84227/33 + -5)). Which is smaller: a or 1? a Let t be (4 - 5)/(-4*(-5)/820). Let c(y) = 4*y + 166. Let u be c(t). Is 19/9 not equal to u? True Let n = -9.29 + 9.1. Let b = -17.88 - -5.07. Let w = b + n. Do w and -0.2 have the same value? False Suppose 2*y - 10 = 0, -2*v = -y + 3*y - 934. Let g be ((24/v)/(-2))/14. Is g < 0? True Let g = -0.008 - -0.028. Let w = 56 - 13. Let d = w + -216/5. Do d and g have the same value? False Let p be 7 - 8/3*(-1530)/40. Which is smaller: 2 or p? 2 Suppose 3*o - 4*s = 18113, -70*o - 7*s + 18157 = -67*o. Which is smaller: o or 6044? o Suppose -1170*o + 1180*o + 1050 = 0. Let r = -0.6 + -0.4. Are r and o non-equal? True Let y be (-3488)/48*24/(-16). Is 125 smaller than y? False Let f(q) = q**3 - q**2 - 4*q + 3. Let c be f(2). Suppose 4*h = 24 + 16. Let i be h/6 - 1 - (-576)/(-891). Which is smaller: i or c? c Let t(u) = -5*u - 14. Let r be t(2). Let q be (r*1/(-5))/(8/(-40)). Which is greater: -22 or q? -22 Let w(h) = -h**2 - 51*h - 388. Let o be w(-42). Is o less than or equal to 212? True Suppose 134 = -100*c + 101*c. Suppose -17*r = -15*r - c. Is r less than 67? False Let n = 8370 + -7389. Is 0 bigger than n? False Let s = 0 - -2. Let j be 2/16 - 127/(-8). Suppose -26*u = -18*u - j. Is u >= s? True Let l = 250142/99 + -14013/11. Is 1254 less than l? False Suppose -2*f = 12401 - 11487. Which is smaller: -10 or f? f Let z = 2 + -2.2. Let y = 100 + -94.2. Let i = y - 5.79. Do z and i have different values? True Let s = 8771 + -8769. Which is bigger: s or -3/8224? s Let r = -2888 - -2889. Let j be (-2)/(-18)*(-2 + 15). Is j smaller than r? False Let b = 2.77 - 158.77. Let d = b - -168. Which is greater: -5 or d? d Suppose -4*l = -4*o - 12, -2*l - 4 = 3*o - 30. Suppose a + l = 4*i - 4, -3*a + 2 = -5*i. Let u = 29690/7 + -4232. Is a >= u? False Let m be (-3 - 2) + 134*(-3 + 2). Are m and -140 equal? False Let w be 2/(-57)*90567165/(-10). Let q = -13072320197/41135 + w. Let h = 14/433 - q. Is h at most as big as 11? False Let p = -48 + 95. Let o = 47 - p. Let w = 1.95 - -0.35. Is o greater than or equal to w? False Let p = 1 + -1. Let l be (-612838)/7280 + 0 - (-2)/(-5). Let a = -592/7 - l. Which is smaller: p or a? p Let n = 0.9 - -0.1. Let g = 9104 + -27364/3. Is n at most as big as g? False Suppose 0*a = 4*a. Let n = a - -2. Let k = 31 - 30. Do k and n have different values? True Let q = 22246 + -11107. Is 11139 != q? False Let a = -39047 + 39127. Let z = 172 + -92. Does z = a? True Let t be ((2/4)/(7/14))/(56/485912). Which is smaller: t or 8676? 8676 Suppose 9*y = 5*y - 16. Let p be (1159/22)/(y + 40 - 4). Let k = p + 11/64. Is k bigger than 3? False Let z = 1.2 + -1. Let a(r) = -r**3 + 4*r**2 + 12*r - 28. Let q be a(5). Suppose c = q*c + 126. Which is greater: z or c? z Let m = -82 - -91. Suppose 12*c + 308 = 4*v + m*c, -2*c - 385 = -5*v. Is v smaller than 78? True Let x(d) = -14*d - 79. Let l be x(-6). Suppose -7*o - l = -12. Which is smaller: 2/101 or o? 2/101 Let j(v) = -v**3 - 2*v**2 + 3*v - 1. Let n be j(-3). Let f be -5 + (-2581)/(-287) + -4. Let a = f - 277/1435. Which is smaller: n or a? n Suppose 0 = -76*m + 11*m + 371280. Which is smaller: m or 5714? m Let i be 57/190*(-15)/81. Is 0.0437 less than i? False Suppose 0 = -53*y + 66*y - 507. Does 43 = y? False Let r be (-1376)/110 + 2/3. Let i = r + 284/15. Let n = -1457 - -1465. Which is bigger: i or n? n Suppose -6*q = -50*q - 1232. Which is greater: -409/15 or q? -409/15 Let w be 470/1*48/(-176). Let l = -87 - -215. Let s = w + l. Which is greater: s or 6? 6 Suppose y - 3*y + 4 = 0. Suppose -y*m - i - 1 = -2, 5*m - 2*i = 16. Let o = -1209 + 1220. Is m bigger than o? False Let y = -0.033 - 0.042. Let x = -0.283 - y. Let b = x + 0.008. Which is greater: b or -0.1? -0.1 Let g be (282/48 - 4) + -1. Suppose -234 = -64*c + 22. Is g greater than or equal to c? False Let j = 2843.53 - 2819. Which is smaller: j or 0? 0 Let f = 42 - 40. Suppose 0 = f*v - 209 - 191. Suppose -18*a + 14*a + v = 0. Which is bigger: 51 or a? 51 Let c = 7 + -5. Suppose 0 = 2*n - c*i - 20 - 2, 3*n - 41 = 5*i. Suppose -2*f + 5*f - 25 = -5*s, 4*f - 20 = -5*s. Which is bigger: s or n? s Let h(o) = -o**2 + 1 + 36*o - 33*o - 2*o. Let a be h(0). Is -2/315 bigger than a? False Let g be ((-301064)/(-120)*5)/(-609). Let x = -7/261 - g. Which is bigger: 22 or x? 22 Let m(d) = d**3 + 12*d**2 + 88*d - 46. Let u be m(14). Which is smaller: 6283 or u? u Suppose 0 = -39*v - 5 - 34. Suppose 3*q - 5*y + 92 = 0, 0*q + 4 = -q - 5*y. Let m be (1/(-4))/((-27)/q). Which is smaller: v or m? v Let q = 12300 - 12233. Which is bigger: q or 70? 70 Suppose 23 = 3*h + 26, -2*p + 1801 = -h. Which is bigger: p or 899? p Let n(u) = -u**3 - 12*u**2 - 27*u - 35. Let y be n(-14). Let q be 6/4*(-10)/y. Which is smaller: q or -4? -4 Let o = -1821/10 + 83/5. Let v = -832/5 - o. Are v and -2 equal? False Suppose 0 = 4*m - 2*m + 2*c + 2054, 0 = 5*c + 10. Which is smaller: -1024 or m? m Let r = 15 - 16. Let g = -14.98 - -15. Let m = g + -0.22. Do m and r have the same value? False Suppose -164 = -5*c + 66. Let w = 44 - c. Let g be (-30)/54*(w - 1)*-5. Which is smaller: g or -8? g Let q(s) be the third derivative of s**6/120 + s**5/30 + 6*s**3 + 7*s**2. Let a be q(0). Suppose -a*y + 41*y = -25. Are -3 and y equal? False Suppose -5*g + 30 = 0, 412 = 26*i - 24*i - g. Is i >= 209? True Let n = -0.5197 - -0.4197. Is 0.0249 greater than or equal to n? True Let n be (-89395)/(-4750) + (-156)/6. Which is smaller: -8 or n? -8 Suppose 18*b + 1457 - 7631 = 0. Let t = 4115/12 - b. Which is smaller: -1 or t? -1 Suppose 3*c + 2*o - 245 = 0, -2*c = -5*c + o + 233. Suppose 0 = 5*j + 5*y - 395, -4*j + 6*y = 11*y - 315. Is c greater than j? False Let i(g) = 2*g**3 + 36*g**2 - 37*g + 42. Let c be i(-19). Suppose -4030 - 938 = -c*y. Which is smaller: 215 or y? 215 Suppose 5*r - 3*z - 47 = -2*z, 5*r = -3*z + 39. Suppose 0*m - 86 = -3*d + 2*m, 0 = 4*d - 5*m - 103. Let w be d/4 - (-5 + 5). Which is bigger: w or r? r Suppose -10 - 56 = 2*o. Suppose -1376*v + 1373*v - 15 = 0. Is v smaller than o? False Let k = 6049 + -6011. Let u be (-12)/(-42) + 458/14. Is k at least as big as u? True Let o = -0.0502 - -61.4102. Let d = -61 + o. Let k = d - -13.64. Which is smaller: 1 or k? 1 Let c = 762 - 749. Suppose l + c*l = 1582. Does l = 115? False Let b(c) be the second derivative of c**5/20 - 13*c**4/12 + 13*c**3/6 + 5*c**2 - 9*c. Let q be b(12). Let s = q - 21. Is s at most as big as 0? False Suppose -6*p - 4*n = -3*p - 668, 1124 = 5*p - 4*n. Suppose -p = -15*r + 29*r. Is r less than -4? True Let g be (-35)/(-10)*(-12)/(-14). Suppose -4*h + 3*v + 9 = -h, -h - v = g. Which is greater: h or -2/249? h Let m = 0.136 - 23.036. Let i = 0.054 - 23.054. Let w = m - i. Is 0.12 at most as big as w? False Let o(l) = 38*l**2 + 204*l + 1990. Let h be o(-10). Which is bigger: 3749 or h? h Let z = -2157 - -2142. Let d = -35/3 - -244/21. Which is bigger: d or z? d Suppose 174*q = 180*q + 10098. Let i be -1*(-6)/(-33) + 981/q. Is 0 at least as big as i? True Let g = 4080497/597 - 6835. Is 4/5 bigger than g? True Suppose 5*v - j = -6*j + 40, 13 = 2*v + j. Let a be v/20 - 2/56*11. Let z = -2 - -2. Are z and a equal? False Let d(m) = 10*m**2 + 129*m + 4. Let o be d(-12). Let f = o + 105. Which is smaller: 2/1207 or f? 2/1207 Let q = -267 - -301. Let n be q/(-51) - 187/3. Which is bigger: 2/9 or n? 2/9 Let i be ((-1)/(-5))/(10/(-25)). Let r be -3 - 2 - (-20)/(11180/2769). Which is smaller: r or i? i Let w = -55 + 48.45. Let d = 2.55 + w. Is d at least 2/5? False Suppose 4*c = 3*c + 5*c - 32. Which is greater: c or -9? c Suppose -46*d = -45*d - 88. Suppose 6*f = 10*f + d. Is -114/5 bigger than f? Fa
{ "pile_set_name": "DM Mathematics" }
Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {a: 2, y: 1, u: 5, p: 1, r: 3}. 1/11 Calculate prob of picking 1 t, 1 q, and 1 j when three letters picked without replacement from jjttkkutqk. 1/20 Calculate prob of picking 1 i, 1 m, and 1 y when three letters picked without replacement from {u: 1, y: 1, c: 1, g: 2, i: 1, m: 2}. 1/28 Four letters picked without replacement from {z: 12, t: 7}. What is prob of picking 4 z? 165/1292 What is prob of picking 3 k and 1 i when four letters picked without replacement from niikznknkknkk? 8/143 Two letters picked without replacement from {p: 2, r: 1}. What is prob of picking 2 p? 1/3 What is prob of picking 1 l, 1 y, and 1 g when three letters picked without replacement from {q: 6, g: 6, y: 1, l: 6}? 12/323 What is prob of picking 1 n and 2 x when three letters picked without replacement from {n: 1, d: 7, x: 2, u: 1, m: 3}? 1/364 Three letters picked without replacement from llllxllllllllllllx. Give prob of picking 3 l. 35/51 What is prob of picking 3 i when three letters picked without replacement from xiixxix? 1/35 Calculate prob of picking 1 f and 1 k when two letters picked without replacement from fbfkfbbfbbk. 8/55 Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {d: 1, t: 5, y: 3, e: 2, h: 1, v: 3}. 1/105 Four letters picked without replacement from {u: 5, p: 2}. What is prob of picking 4 u? 1/7 Four letters picked without replacement from yamamiavvgia. Give prob of picking 2 v and 2 g. 0 What is prob of picking 1 e, 1 v, and 1 z when three letters picked without replacement from wlvlzeeelwvzlllw? 3/140 Four letters picked without replacement from feeyeyelyzefyfee. What is prob of picking 2 e, 1 z, and 1 y? 3/65 Two letters picked without replacement from {w: 1, x: 4, z: 4, y: 6}. Give prob of picking 1 y and 1 x. 8/35 Three letters picked without replacement from yozov. What is prob of picking 2 o and 1 y? 1/10 What is prob of picking 1 p, 1 b, and 2 y when four letters picked without replacement from yspbpropoops? 0 Three letters picked without replacement from {x: 4, f: 5, p: 2, a: 2}. Give prob of picking 3 f. 5/143 Calculate prob of picking 2 q and 1 s when three letters picked without replacement from sqqssqqsqqsqqsqqqqq. 156/323 What is prob of picking 3 v when three letters picked without replacement from vhvhvhh? 1/35 Three letters picked without replacement from bbjbuzbvjzubbvzzzb. Give prob of picking 2 v and 1 z. 5/816 Calculate prob of picking 1 k, 1 d, and 1 f when three letters picked without replacement from dddpaddaaaakafakd. 3/170 Calculate prob of picking 1 e, 1 i, and 1 y when three letters picked without replacement from {u: 1, g: 1, e: 1, h: 2, i: 1, y: 2}. 1/28 What is prob of picking 2 f and 1 u when three letters picked without replacement from {f: 2, q: 1, j: 1, u: 5}? 5/84 What is prob of picking 2 s, 1 w, and 1 n when four letters picked without replacement from wwwnyjwjwjnawjsjsj? 1/255 Calculate prob of picking 4 g when four letters picked without replacement from {s: 6, g: 7}. 7/143 Three letters picked without replacement from {m: 1, p: 1, e: 1, r: 1, z: 2, d: 1}. Give prob of picking 2 z and 1 r. 1/35 Two letters picked without replacement from ugquqppuuukpgu. Give prob of picking 2 g. 1/91 Three letters picked without replacement from {k: 5, x: 13}. Give prob of picking 2 k and 1 x. 65/408 Calculate prob of picking 2 a and 1 j when three letters picked without replacement from enhjheeaeeaaeejjeee. 3/323 Calculate prob of picking 1 z, 1 d, and 1 a when three letters picked without replacement from zdnapzn. 2/35 Calculate prob of picking 2 i and 2 p when four letters picked without replacement from {s: 6, i: 2, p: 10}. 1/68 Three letters picked without replacement from ttttxtftftxtttfttt. What is prob of picking 1 x and 2 f? 1/136 Four letters picked without replacement from {w: 1, k: 10, r: 4, c: 4}. Give prob of picking 1 r, 2 c, and 1 k. 20/323 What is prob of picking 1 c and 1 a when two letters picked without replacement from kxatc? 1/10 Calculate prob of picking 2 f when two letters picked without replacement from {b: 5, v: 1, f: 11}. 55/136 Calculate prob of picking 1 f, 2 k, and 1 h when four letters picked without replacement from {h: 5, w: 1, f: 2, u: 1, k: 3, z: 1}. 6/143 Two letters picked without replacement from ttbbhtsbxtuthbbtx. What is prob of picking 2 b? 5/68 Two letters picked without replacement from jzzjzjzjyyj. Give prob of picking 2 z. 6/55 Three letters picked without replacement from cjjjwccccoejooa. Give prob of picking 2 o and 1 j. 12/455 Three letters picked without replacement from paaatppptap. What is prob of picking 1 p and 2 a? 2/11 What is prob of picking 3 q and 1 t when four letters picked without replacement from tqqqtttqtqqqtttqqt? 21/85 Three letters picked without replacement from {i: 17, r: 1, b: 1}. Give prob of picking 2 i and 1 r. 8/57 Two letters picked without replacement from {d: 5, q: 8, u: 3}. Give prob of picking 1 d and 1 u. 1/8 Three letters picked without replacement from {m: 5, t: 7, r: 2}. What is prob of picking 2 r and 1 m? 5/364 Calculate prob of picking 1 x and 2 t when three letters picked without replacement from tjtoukxx. 1/28 Two letters picked without replacement from rmjj. What is prob of picking 1 m and 1 j? 1/3 Four letters picked without replacement from {p: 2, a: 5, w: 12}. Give prob of picking 1 w, 1 a, and 2 p. 5/323 Four letters picked without replacement from mwwwmmwwwmwwwm. Give prob of picking 3 m and 1 w. 90/1001 Three letters picked without replacement from frrrrrffffrff. What is prob of picking 3 r? 10/143 Calculate prob of picking 1 b and 3 i when four letters picked without replacement from {c: 4, v: 1, i: 2, g: 1, e: 2, b: 2}. 0 Three letters picked without replacement from qjfiiiiiiijiq. What is prob of picking 1 i, 1 q, and 1 f? 8/143 Calculate prob of picking 2 r and 2 s when four letters picked without replacement from bsrrjbvsbsjsssb. 1/91 Calculate prob of picking 2 v and 1 o when three letters picked without replacement from vzvqhvvzoqvoh. 10/143 Calculate prob of picking 1 v and 1 m when two letters picked without replacement from vpvmvpmvpvmmv. 4/13 What is prob of picking 2 p when two letters picked without replacement from {p: 14, n: 4}? 91/153 Three letters picked without replacement from {n: 6, s: 4}. What is prob of picking 2 s and 1 n? 3/10 Three letters picked without replacement from blbwbilby. Give prob of picking 1 w and 2 i. 0 Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {g: 2, v: 8, i: 7, a: 3}. 7/95 Three letters picked without replacement from hxxxhhxxhhhx. What is prob of picking 3 h? 1/11 What is prob of picking 1 j and 3 z when four letters picked without replacement from {t: 3, z: 7, j: 3}? 21/143 Two letters picked without replacement from {z: 1, w: 1, l: 1, t: 1, b: 1}. Give prob of picking 1 z and 1 w. 1/10 Three letters picked without replacement from {u: 2, j: 1, i: 1, w: 3, q: 3}. Give prob of picking 1 i and 2 q. 1/40 What is prob of picking 1 u and 2 c when three letters picked without replacement from {v: 2, c: 2, u: 1}? 1/10 Three letters picked without replacement from eeke. Give prob of picking 3 e. 1/4 Three letters picked without replacement from {t: 6, v: 4}. What is prob of picking 3 v? 1/30 Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {x: 2, h: 1, g: 1, o: 2, n: 1, i: 1}. 1/14 What is prob of picking 1 d and 1 t when two letters picked without replacement from ttlddussddduuxu? 2/21 What is prob of picking 2 b when two letters picked without replacement from {q: 2, l: 3, b: 5}? 2/9 Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {s: 2, o: 4, j: 3, k: 1, c: 4}. 12/91 Calculate prob of picking 4 u when four letters picked without replacement from jujuujuujj. 1/42 Three letters picked without replacement from {x: 1, t: 1, f: 7}. What is prob of picking 1 x and 2 f? 1/4 Four letters picked without replacement from uukukkkllu. Give prob of picking 2 u and 2 k. 6/35 What is prob of picking 2 l and 2 y when four letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 232988 is divided by 48? 44 What is the remainder when 379146 is divided by 379139? 7 What is the remainder when 21464 is divided by 21005? 459 Calculate the remainder when 8308 is divided by 20. 8 Calculate the remainder when 342 is divided by 170. 2 Calculate the remainder when 2163 is divided by 23. 1 Calculate the remainder when 12485 is divided by 147. 137 What is the remainder when 75634 is divided by 66? 64 What is the remainder when 330056 is divided by 66010? 6 Calculate the remainder when 27376 is divided by 154. 118 What is the remainder when 17121 is divided by 2007? 1065 What is the remainder when 1108365 is divided by 172? 169 Calculate the remainder when 57730 is divided by 128. 2 What is the remainder when 28914 is divided by 396? 6 Calculate the remainder when 87184 is divided by 1038. 1030 What is the remainder when 1941 is divided by 575? 216 What is the remainder when 13016 is divided by 17? 11 What is the remainder when 5116 is divided by 1020? 16 Calculate the remainder when 39273 is divided by 441. 24 What is the remainder when 880 is divided by 267? 79 What is the remainder when 17491 is divided by 5820? 31 Calculate the remainder when 14086 is divided by 35. 16 What is the remainder when 879165 is divided by 456? 453 Calculate the remainder when 113197 is divided by 182. 175 Calculate the remainder when 6077 is divided by 759. 5 Calculate the remainder when 62731 is divided by 1960. 11 Calculate the remainder when 880 is divided by 263. 91 Calculate the remainder when 846905 is divided by 27. 23 Calculate the remainder when 6543 is divided by 6508. 35 What is the remainder when 55479 is divided by 18465? 84 Calculate the remainder when 3676 is divided by 64. 28 What is the remainder when 5624 is divided by 323? 133 Calculate the remainder when 16606 is divided by 24. 22 What is the remainder when 22962 is divided by 5666? 298 Calculate the remainder when 1339818 is divided by 973. 970 Calculate the remainder when 39032 is divided by 205. 82 What is the remainder when 2063137 is divided by 39? 37 Calculate the remainder when 92926 is divided by 30971. 13 What is the remainder when 80547 is divided by 959? 950 Calculate the remainder when 123638 is divided by 281. 279 Calculate the remainder when 2170 is divided by 78. 64 What is the remainder when 194598 is divided by 35? 33 Calculate the remainder when 1771 is divided by 56. 35 Calculate the remainder when 3203 is divided by 1588. 27 What is the remainder when 28211 is divided by 741? 53 What is the remainder when 1043 is divided by 320? 83 Calculate the remainder when 1109 is divided by 82. 43 What is the remainder when 64288 is divided by 239? 236 What is the remainder when 41297 is divided by 91? 74 What is the remainder when 21610 is divided by 7202? 4 Calculate the remainder when 138560 is divided by 707. 695 Calculate the remainder when 1223 is divided by 67. 17 What is the remainder when 188058 is divided by 5876? 26 Calculate the remainder when 637727 is divided by 84. 83 What is the remainder when 36534 is divided by 8? 6 Calculate the remainder when 1605 is divided by 410. 375 What is the remainder when 4373 is divided by 33? 17 Calculate the remainder when 15206 is divided by 77. 37 What is the remainder when 20452 is divided by 341? 333 What is the remainder when 161164 is divided by 726? 718 Calculate the remainder when 4781 is divided by 4750. 31 What is the remainder when 3677 is divided by 1206? 59 Calculate the remainder when 7022 is divided by 436. 46 What is the remainder when 6585 is divided by 824? 817 What is the remainder when 6094 is divided by 97? 80 Calculate the remainder when 3219 is divided by 2488. 731 Calculate the remainder when 89237 is divided by 115. 112 Calculate the remainder when 19562 is divided by 225. 212 What is the remainder when 554673 is divided by 17? 14 Calculate the remainder when 4996 is divided by 10. 6 What is the remainder when 143 is divided by 30? 23 Calculate the remainder when 51460 is divided by 25699. 62 What is the remainder when 201400 is divided by 135? 115 Calculate the remainder when 271 is divided by 145. 126 Calculate the remainder when 221419 is divided by 221. 198 What is the remainder when 379966 is divided by 48? 46 What is the remainder when 51368 is divided by 3945? 83 What is the remainder when 940 is divided by 385? 170 What is the remainder when 97016 is divided by 21? 17 What is the remainder when 12785 is divided by 18? 5 What is the remainder when 18830 is divided by 3051? 524 Calculate the remainder when 6317 is divided by 37. 27 Calculate the remainder when 2679 is divided by 85. 44 What is the remainder when 23198 is divided by 400? 398 Calculate the remainder when 22133 is divided by 3160. 13 What is the remainder when 119293 is divided by 50? 43 Calculate the remainder when 29206 is divided by 230. 226 Calculate the remainder when 12070 is divided by 310. 290 What is the remainder when 26662 is divided by 888? 22 What is the remainder when 19786 is divided by 19776? 10 Calculate the remainder when 3891 is divided by 1675. 541 What is the remainder when 97145 is divided by 782? 177 What is the remainder when 1314 is divided by 828? 486 Calculate the remainder when 111350 is divided by 191. 188 Calculate the remainder when 9130 is divided by 1517. 28 What is the remainder when 5844 is divided by 344? 340 Calculate the remainder when 2090118 is divided by 575. 568 Calculate the remainder when 4382 is divided by 3622. 760 What is the remainder when 816277 is divided by 103? 2 What is the remainder when 704 is divided by 47? 46 What is the remainder when 200651 is divided by 819? 815 Calculate the remainder when 148676 is divided by 118. 114 What is the remainder when 118396 is divided by 59192? 12 What is the remainder when 54128 is divided by 97? 2 Calculate the remainder when 4676602 is divided by 4. 2 What is the remainder when 16056 is divided by 4011? 12 Calculate the remainder when 34586 is divided by 17253. 80 What is the remainder when 1436 is divided by 480? 476 What is the remainder when 8571 is divided by 1307? 729 What is the remainder when 466575 is divided by 7? 4 What is the remainder when 12112 is divided by 167? 88 What is the remainder when 39642 is divided by 3295? 102 Calculate the remainder when 30863 is divided by 524. 471 Calculate the remainder when 20802 is divided by 121. 111 What is the remainder when 240122 is divided by 748? 14 What is the remainder when 6175 is divided by 15? 10 Calculate the remainder when 99782 is divided by 33172. 266 Calculate the remainder when 36852 is divided by 2844. 2724 Calculate the remainder when 3316 is divided by 731. 392 Calculate the remainder when 20935 is divided by 39. 31 Calculate the remainder when 67598 is divided by 40. 38 What is the remainder when 951 is divided by 471? 9 What is the remainder when 1088280 is divided by 120? 0 Calculate the remainder when 88527 is divided by 65. 62 Calculate the remainder when 23322 is divided by 424. 2 What is the remainder when 5432 is divided by 161? 119 Calculate the remainder when 16314 is divided by 741. 12 What is the remainder when 36272 is divided by 615? 602 Calculate the remainder when 20 is divided by 10. 0 What is the remainder when 11852 is divided by 109? 80 Calculate the remainder when 146314 is divided by 2186. 2038 What is the remainder when 71808 is divided by 269? 254 Calculate the remainder when 7544 is divided by 74. 70 Calculate the remainder when 4679 is divided by 120. 119 What is the remainder when 6300 is divided by 166? 158 What is the remainder when 45013 is divided by 14990? 43 What is the remainder when 24491 is divided by 490? 481 What is the remainder when 42415 is divided by 13? 9 Calculate the remainder when 151436 is divided by 58. 56 What is the remainder when 736 is divided by 27? 7 What is the remainder when 12960 is divided by 540? 0 What is the remainder when 266193 is divided by 77? 4 What is the remainder when 708204 is divided by 29? 24 What is the remainder when 256617 is divided by 70? 67 What is the remainder when 100481 is divided by 152? 9 What is the remainder when 52128 is divided by 13016? 64 Calculate th
{ "pile_set_name": "DM Mathematics" }
t is the hundred thousands digit of 848891? 8 What is the ten thousands digit of 1375413? 7 What is the tens digit of 4446149? 4 What is the hundreds digit of 16002257? 2 What is the units digit of 627949? 9 What is the hundreds digit of 372756? 7 What is the hundreds digit of 237480? 4 What is the ten thousands digit of 1880955? 8 What is the units digit of 510169? 9 What is the hundred thousands digit of 328672? 3 What is the units digit of 969915? 5 What is the thousands digit of 8859997? 9 What is the tens digit of 8339004? 0 What is the ten thousands digit of 1148159? 4 What is the hundreds digit of 7704515? 5 What is the hundreds digit of 708237? 2 What is the hundreds digit of 443712? 7 What is the millions digit of 2827316? 2 What is the hundreds digit of 12511979? 9 What is the units digit of 4424125? 5 What is the units digit of 4880266? 6 What is the thousands digit of 14984410? 4 What is the ten thousands digit of 494367? 9 What is the hundreds digit of 430671? 6 What is the hundreds digit of 13204310? 3 What is the thousands digit of 8257921? 7 What is the units digit of 225743? 3 What is the millions digit of 1024512? 1 What is the hundreds digit of 6550462? 4 What is the hundreds digit of 43997? 9 What is the hundreds digit of 7030342? 3 What is the tens digit of 9670158? 5 What is the tens digit of 3417921? 2 What is the hundred thousands digit of 1640757? 6 What is the tens digit of 89396? 9 What is the ten millions digit of 18068705? 1 What is the units digit of 301822? 2 What is the tens digit of 98281? 8 What is the tens digit of 31272? 7 What is the ten thousands digit of 29361178? 6 What is the hundreds digit of 18631203? 2 What is the thousands digit of 323338? 3 What is the hundred thousands digit of 5099575? 0 What is the tens digit of 2175538? 3 What is the ten millions digit of 28228491? 2 What is the hundreds digit of 100707? 7 What is the thousands digit of 2450188? 0 What is the units digit of 1130848? 8 What is the hundreds digit of 3964389? 3 What is the tens digit of 184342? 4 What is the units digit of 5661992? 2 What is the hundred thousands digit of 1530097? 5 What is the ten thousands digit of 128745? 2 What is the hundred thousands digit of 207374? 2 What is the units digit of 666784? 4 What is the hundreds digit of 13079269? 2 What is the millions digit of 2974113? 2 What is the units digit of 447184? 4 What is the thousands digit of 80926? 0 What is the ten thousands digit of 224850? 2 What is the units digit of 2335332? 2 What is the hundreds digit of 416302? 3 What is the units digit of 3859373? 3 What is the hundreds digit of 1727451? 4 What is the ten millions digit of 12712288? 1 What is the hundreds digit of 480402? 4 What is the hundreds digit of 2378483? 4 What is the tens digit of 7579570? 7 What is the units digit of 306164? 4 What is the ten millions digit of 10625724? 1 What is the units digit of 128209? 9 What is the hundred thousands digit of 38260819? 2 What is the hundreds digit of 266789? 7 What is the thousands digit of 3453306? 3 What is the units digit of 171350? 0 What is the hundred thousands digit of 285521? 2 What is the ten thousands digit of 229243? 2 What is the tens digit of 29733737? 3 What is the hundreds digit of 242130? 1 What is the ten thousands digit of 537810? 3 What is the hundreds digit of 193840? 8 What is the thousands digit of 1148682? 8 What is the ten thousands digit of 3119990? 1 What is the ten thousands digit of 19686656? 8 What is the thousands digit of 349303? 9 What is the millions digit of 5986831? 5 What is the ten thousands digit of 67149? 6 What is the units digit of 40505? 5 What is the millions digit of 2248380? 2 What is the millions digit of 4295104? 4 What is the tens digit of 9716301? 0 What is the thousands digit of 9071363? 1 What is the thousands digit of 6541? 6 What is the units digit of 3994113? 3 What is the thousands digit of 1244973? 4 What is the millions digit of 1651505? 1 What is the ten thousands digit of 592651? 9 What is the ten millions digit of 16920975? 1 What is the hundred thousands digit of 236879? 2 What is the ten thousands digit of 480818? 8 What is the hundreds digit of 37484? 4 What is the millions digit of 1624935? 1 What is the tens digit of 27883950? 5 What is the units digit of 39503? 3 What is the hundred thousands digit of 1916746? 9 What is the thousands digit of 35075? 5 What is the hundred thousands digit of 434222? 4 What is the hundreds digit of 91143? 1 What is the units digit of 117992? 2 What is the millions digit of 18957277? 8 What is the thousands digit of 647818? 7 What is the ten thousands digit of 7183968? 8 What is the units digit of 10015015? 5 What is the ten thousands digit of 3496057? 9 What is the thousands digit of 2555731? 5 What is the ten thousands digit of 1747760? 4 What is the hundred thousands digit of 458471? 4 What is the units digit of 7002976? 6 What is the millions digit of 1006618? 1 What is the hundreds digit of 47689? 6 What is the millions digit of 12408547? 2 What is the millions digit of 13022618? 3 What is the tens digit of 18949635? 3 What is the units digit of 1796001? 1 What is the thousands digit of 184384? 4 What is the units digit of 2676301? 1 What is the hundred thousands digit of 4617692? 6 What is the hundreds digit of 238205? 2 What is the hundreds digit of 276179? 1 What is the units digit of 132799? 9 What is the ten thousands digit of 14009629? 0 What is the tens digit of 885551? 5 What is the thousands digit of 18677189? 7 What is the units digit of 208489? 9 What is the hundred thousands digit of 3712850? 7 What is the tens digit of 16543447? 4 What is the hundreds digit of 975771? 7 What is the units digit of 851160? 0 What is the hundreds digit of 1777679? 6 What is the ten thousands digit of 1505327? 0 What is the thousands digit of 243437? 3 What is the units digit of 162505? 5 What is the ten thousands digit of 2189583? 8 What is the hundreds digit of 1333961? 9 What is the units digit of 447838? 8 What is the units digit of 4258301? 1 What is the tens digit of 2875507? 0 What is the units digit of 594088? 8 What is the millions digit of 16500906? 6 What is the tens digit of 25323657? 5 What is the millions digit of 6972230? 6 What is the ten thousands digit of 1168069? 6 What is the tens digit of 62495? 9 What is the units digit of 292439? 9 What is the hundred thousands digit of 26369332? 3 What is the hundreds digit of 142635? 6 What is the tens digit of 58055? 5 What is the thousands digit of 15298? 5 What is the hundreds digit of 390053? 0 What is the units digit of 1499781? 1 What is the hundreds digit of 647761? 7 What is the thousands digit of 15204712? 4 What is the hundred thousands digit of 2318807? 3 What is the tens digit of 4797586? 8 What is the hundred thousands digit of 28459551? 4 What is the ten thousands digit of 570065? 7 What is the units digit of 2164557? 7 What is the ten thousands digit of 671669? 7 What is the tens digit of 88085? 8 What is the millions digit of 15286454? 5 What is the tens digit of 8661692? 9 What is the ten thousands digit of 534420? 3 What is the thousands digit of 842728? 2 What is the ten thousands digit of 268985? 6 What is the ten thousands digit of 1023434? 2 What is the thousands digit of 296359? 6 What is the units digit of 6726943? 3 What is the hundred thousands digit of 2500410? 5 What is the ten thousands digit of 185879? 8 What is the ten thousands digit of 14476374? 7 What is the thousands digit of 5031234? 1 What is the thousands digit of 404286? 4 What is the hundred thousands digit of 134231? 1 What is the hundred thousands digit of 13646428? 6 What is the units digit of 6278323? 3 What is the ten thousands digit of 4970091? 7 What is the hundred thousands digit of 3297193? 2 What is the ten thousands digit of 5033522? 3 What is the hundred thousands digit of 2063880? 0 What is the hundred thousands digit of 3401491? 4 What is the thousands digit of 5247345? 7 What is the ten thousands digit of 21380? 2 What is the ten thousands digit of 2415555? 1 What is the thousands digit of 8082933? 2 What is the thousands digit of 443159? 3 What is the hundreds digit of 633957? 9 What is the hundred
{ "pile_set_name": "DM Mathematics" }
k? True Let r(l) = -135*l**3 + 2*l**2 - 5027*l + 5027*l. Does 48 divide r(-1)? False Let u = 7122 + -4863. Suppose 2*o - 3*l - 1513 = 2*l, -u = -3*o - 3*l. Is 30 a factor of o? False Let f(j) = -29*j**2 - 12*j - 5. Let w(k) = 56*k**2 + 24*k + 9. Let u(v) = -7*f(v) - 3*w(v). Does 20 divide u(-4)? True Let o(i) be the third derivative of -5/24*i**4 + 0 + 1/60*i**5 + 7/6*i**3 - 3*i**2 + 0*i. Is 13 a factor of o(-7)? True Let b be 2 - 6/(3 - 5). Suppose 0 = u - 4*i - 74, -b*u + i = 5*i - 274. Is 4 a factor of u? False Let j(s) = -5*s**2 - 17*s + 3. Let n(o) = 23*o**2 + 66*o - 11. Let d(m) = -9*j(m) - 2*n(m). Suppose 5*g + 3*p = 59, 0*g + 2*g - 22 = -2*p. Does 9 divide d(g)? True Let i(z) = -30*z + 19. Let q(x) = -15*x + 10. Let y(b) = -6*i(b) + 13*q(b). Let w be y(2). Is (w - -5)/(2/(-26)) a multiple of 22? False Let d(l) = -l**3 - 6*l**2 + 8*l + 17. Let z be d(-7). Let a(f) = 2*f - 20. Let n be a(z). Is n + (27/(-12))/((-1)/16) a multiple of 9? True Let u = -46 + 72. Suppose u = -4*x + 46. Suppose 0 = -x*q - 59 + 464. Is q a multiple of 29? False Suppose 441120 = 63*w + 79941. Is 5 a factor of w? False Suppose -551*n = -211*n - 3309900. Is n a multiple of 65? False Let c = -19263 + 27937. Is c a multiple of 200? False Let b be 1/4*(22 + -22). Let l(z) = -z**3 + 7*z**2 + 130. Does 8 divide l(b)? False Let n(u) = 15*u**2 + 10*u**2 - 26*u**2 + 3*u**2 - 6*u + 82. Is n(-8) a multiple of 6? True Let w(o) = -6*o**2 - 71*o - 6. Let a be w(-12). Suppose 16 = -4*j, -21 - 3 = u + 5*j. Is 3/(u/16*4/a) a multiple of 9? True Let d(m) = m**2 - 8*m - 7. Let h be (148/16)/1 + 2/(-8). Let g be d(h). Suppose -3*a = g - 77. Does 9 divide a? False Suppose 0 = n + 5*s - 55, -n + 7*s - 5*s = -27. Suppose -o - 40 = -5*o. Let z = o + n. Does 9 divide z? True Suppose -607*j + 198*j = -23560445. Is j a multiple of 79? False Suppose 950 = -268*b + 278*b. Suppose -b*g + 87*g = -5680. Does 71 divide g? True Suppose 57*x + 58*x = 101*x + 26754. Is 3 a factor of x? True Let t(u) = 14*u + 2*u - 12*u + 4*u + 2*u. Let a = 4 - 2. Does 4 divide t(a)? True Suppose -w = x + 162, 0*x + 807 = -5*w - 4*x. Let z be (2 - 1)/(3/w). Let c = 77 + z. Does 4 divide c? True Let x(n) = -3*n**2 - 9*n + 6. Let h be x(-4). Let v = 17 - h. Is v a multiple of 12? False Suppose 0 = -2*g - 8, -380 = 4*y + 26*g - 21*g. Suppose 0 = -3*i - 23 - 94. Let l = i - y. Is l a multiple of 17? True Let n be ((-31)/(-4))/((-24)/(-3168)). Suppose -5*z - l + n + 51 = 0, -4*z = 2*l - 864. Is z a multiple of 13? False Let u be ((-5)/(-1) - 0) + 0. Let i(w) = 10*w**2 - 16*w - 6. Is i(u) a multiple of 13? False Let j be (-1032)/14 + (-2)/7. Let x = 59 + j. Is ((-54)/15)/(2/x) even? False Suppose 4*z = -12, -o + z + 423 = -47. Let b = o - 423. Is b a multiple of 8? False Let n be 0 + 2 + -4 - (-2 - -4). Let w be n/(-10) + (-24)/(-15). Suppose 2*o - 20 = -r, 0 = -2*r - w*o + o + 52. Does 4 divide r? True Let s(m) = m**2 + 273. Let z be s(0). Suppose 759 = 6*d - z. Suppose 5*f - f - d = 0. Is 6 a factor of f? False Let g(d) = 62*d - 87. Let u(f) = 62*f - 88. Let x(h) = 4*g(h) - 3*u(h). Does 18 divide x(13)? False Suppose -2*w = 2*w - 200. Let u(v) = 5*v**2 - 3*v - 6. Let m be u(3). Let r = w - m. Is r even? True Let l = 132 + -191. Let z = l - -61. Is ((-255)/102)/(z/20*-1) a multiple of 2? False Suppose -2*q - 5*a + 321 = -180, 765 = 3*q + 3*a. Suppose 7*d = 2*d, -3*f + q = -d. Suppose -8*z + 406 = f. Does 22 divide z? False Let k(b) = b**3 + b**2 + 14*b + 7. Let j be k(-5). Let r = 181 + j. Is r a multiple of 6? True Let z = 33 - 27. Suppose 11*h - z*h - 600 = 0. Does 15 divide h? True Let g(w) = 4*w - 22. Let j be g(34). Let t = 190 - j. Is 11 a factor of t? False Suppose 5*u + 1 = 6*a - 4*a, -2*u = -3*a + 7. Let j be (a/(-12))/(2/(-152)). Let x = j - -15. Does 17 divide x? True Suppose -37*z + 29 = -859. Let p be 2/3 + (-14)/3. Let f = p + z. Is 19 a factor of f? False Let o(h) = h + 49. Let q be o(-25). Suppose -q*i = -21*i - 168. Let u = i + -6. Does 10 divide u? True Let o(x) = 226*x**3 - 4*x**2 + 9*x - 34. Is 21 a factor of o(3)? False Let j(v) = 33 - 21*v - 14*v + 101 - 13*v - 3. Does 12 divide j(-6)? False Suppose -553661 = -187*q + 40*q - 131771. Does 5 divide q? True Suppose -3*r = 5*f - 30262, -93*f + 50416 = 5*r - 95*f. Is 11 a factor of r? False Let c(z) be the first derivative of -z**4/4 + 2*z**3/3 + 4*z**2 - 13*z - 131. Does 20 divide c(-8)? False Is 24 a factor of 64/224 - (-2 - (-360464)/(-28))? False Suppose -4*i = -0 + 8. Let t = -411 + 271. Is i + 1 + (6 - t) a multiple of 45? False Let h = 20106 + -11292. Does 17 divide h? False Let b be (-2)/(-9) + 206*48/(-27). Is 7 a factor of b/(-9) + 24/18? True Suppose -3*f = 62 - 53, -c - 2*f = -8644. Is c a multiple of 6? False Let j(v) = -2*v**2 + 16*v + 43. Let k be j(-11). Let s = k - -543. Does 7 divide s? True Does 14 divide ((-712)/(-12))/((-30)/(-2295))? False Let x(h) = -10*h + 2 - 16 - 11*h. Is 11 a factor of x(-8)? True Suppose -f + 2 = 5*j - 0*f, f = -j + 2. Let s(w) = 11*w + 432. Let x be s(-39). Suppose 2*n + x*z - 101 = j, -4*z = -n - 6*z + 50. Is n a multiple of 13? True Suppose 0 = u - 212 - 617. Suppose 2*n - 3*b - u = 0, 5*n + 0*b = -3*b + 2083. Is n a multiple of 8? True Suppose 12*t - 2*t + 240 = 0. Let o(l) = l**2 - 5*l - 25. Is o(t) a multiple of 11? True Let o = 8916 - 3769. Is 81 a factor of o? False Let i(m) = 31*m + 27. Let k(w) = w**2 + 32*w - 100. Let v be k(-35). Is 7 a factor of i(v)? True Let u be (2250/21)/3 - 16/(-56). Suppose 4*r + u = 6*r. Suppose -s - r = -96. Is s a multiple of 13? True Suppose 6*k = 14278 - 5746. Suppose -1407 = -2*m - i, -k = -2*m + 3*i - i. Does 43 divide m? False Let b(f) = 1524*f - 3295. Is 31 a factor of b(8)? True Let j be 8 - (1/(-1))/1. Is 4 a factor of (-37)/1*j/(-1)? False Suppose 0 = 5*d - 2*u - 53, 0*u = 4*d + 4*u - 20. Suppose 16*x - 140 = d*x. Is 7 a factor of x? False Let n be (-6)/21 - (3 - 46/14). Let i(f) = 2*f**2 - f + 10. Let m be i(n). Does 21 divide (3/(-2) + -2)*(-20 - m)? True Suppose 57 = -7*l - 83. Is 2798/10 - (2 + 44/l) a multiple of 10? True Is 3 a factor of -2*2/18 + 48/54*4543? True Let t = 368 - 401. Let p(n) = -30*n + 64. Is 35 a factor of p(t)? False Suppose 0 = -22*r + 10761 - 2357. Is r a multiple of 2? True Suppose -100*l + 167807 + 114793 = 0. Is l a multiple of 51? False Suppose -q - 5*m + 16 = 0, -4*q + 3*m + 64 = m. Suppose -q*t = -19*t + 15. Suppose -t - 71 = -i + 2*n, -335 = -5*i - 5*n. Is 6 a factor of i? False Let a = -21578 - -42533. Is a a multiple of 15? True Let y(t) = -425*t**3 + 10*t**2 - 5*t - 5. Let s be y(-3). Is 4 a factor of ((-2)/(-10))/(5/s)? False Suppose -5*t + x = -7764, 2*x + 1532 = t + 7*x. Suppose t = 6*u - 50. Does 16 divide u? False Suppose -4*z - 251*a + 249*a = -30630, -2*z = 5*a - 15343. Is 20 a factor of z? False Is ((-1)/3 + -5)*2562/(-8) + 0 a multiple of 7? True Suppose 5*o - 4*h = 29757, -296*o + 297*o + 2*h = 5971. Is o a multiple of 26? False Let p = -93 - -90. Does 39 divide (0 - 1) + p/((-6)/1172)? True Let c be (-2)/(0 + 2)*(18 + -58). Suppose -4*y = -3*y - d - 49, 2*d = -y + c. Suppose -104 = -4*o - g - 3, -2*o = 2*g - y. Is o a multiple of 13? True Suppose -3*p = -2*a - 5893, 5*a - 5753 = -4*p + 2089. Is 5 a factor of p? False Suppose -5 = -5*o + 5. Suppose -2*x + 7*x + o*t - 15 = 0, -2*x - 5*t + 6 = 0. Suppose -7*l = -a - 4*l + 67, -225 = -x*a - 3*l. Does 7 divide a? False Suppose 72*w - 103*w = -136338. Is 6 a factor of w? True Let r be 36/45 + (-8)/10. Is 35 a factor of 2 - ((-1685)/5 + r)? False Suppose 0 = 27*n - 41*n + 11872. Let j = n - 470. Does 21 divide j? True Let g(k) = -5*k + 15 + 0*k + 13*k**2 - 13. Let h be g(2). Let x = -26 + h. Is 5 a factor of x? False Let f be 2/((3 - -1)/8). Suppose 44 = 4*j - y, 3*j + 2*j = -f*y + 34. Is 10 a factor of j? True Suppose 178*d + 13779 = k + 182*d, -20 = -4*d. Is k a multiple of 76? False Is (-6606)/45*-15 + -2 a multiple of 100? True Suppose 2955 = 3*f - 4*n - 1164, -5*f + 3*n = -6887. Does 14 divide f? False Let r(s) = 15*s**2 + 3. Let b be r(6). Let n = -388 + b. Is n a multiple of 7? False Let r(s) = 21196*s**2 + 14*s + 18. Does 25 divide r(-1)? True Suppose 6*o + 4540 = 2*u, 11*u + 4*o = 12*u - 2264. Is u a multiple of 12? False Suppose 138*v - 571*v = -61320 - 17423
{ "pile_set_name": "DM Mathematics" }
hat is -27353.6747 rounded to the nearest 10? -27350 Round 141379.921 to the nearest 1000. 141000 Round -477.324132 to the nearest 10. -480 What is -0.0000074545894 rounded to 6 dps? -0.000007 What is -0.052765113 rounded to 2 decimal places? -0.05 Round -64.6672153 to the nearest integer. -65 What is -0.00434469958 rounded to three dps? -0.004 What is 731208080 rounded to the nearest one million? 731000000 Round 0.0025578119 to four dps. 0.0026 Round -23.26009787 to the nearest ten. -20 Round 0.01820927776 to six decimal places. 0.018209 Round -10.28564961 to zero dps. -10 Round 38.674138 to 0 decimal places. 39 Round 3.5832589 to 0 decimal places. 4 Round -0.00003243297686 to seven dps. -0.0000324 Round 69.47123006 to three decimal places. 69.471 Round -333277628 to the nearest 1000000. -333000000 What is -210.55890504 rounded to 1 dp? -210.6 What is -2.479392022 rounded to three decimal places? -2.479 Round 4153.86861 to the nearest 10. 4150 What is -0.4553910079 rounded to 5 dps? -0.45539 Round 20043.6615 to the nearest one thousand. 20000 Round -60400.113 to the nearest 1000. -60000 Round 158.640145 to the nearest integer. 159 What is -0.0000013502867671 rounded to 7 decimal places? -0.0000014 Round 4004.842 to the nearest 1000. 4000 What is -0.00004222398 rounded to four dps? 0 Round 0.0000323030148 to six dps. 0.000032 What is 2304.89254 rounded to the nearest ten? 2300 Round 6367.91843 to the nearest one thousand. 6000 What is -31355.154 rounded to the nearest one thousand? -31000 What is -775.187097 rounded to 2 decimal places? -775.19 What is -0.005957758 rounded to 4 dps? -0.006 What is 21.6312011 rounded to three dps? 21.631 Round 18509569.7 to the nearest one million. 19000000 What is 0.000885861303 rounded to seven dps? 0.0008859 Round 0.314514408 to two dps. 0.31 What is 213.62409 rounded to 1 dp? 213.6 What is -0.2068398 rounded to 1 dp? -0.2 Round -30334.4475 to the nearest ten. -30330 Round 0.0000064675956 to six dps. 0.000006 Round 16.880553 to 2 dps. 16.88 What is 102.3937627 rounded to 2 dps? 102.39 Round -649378.363 to the nearest 100. -649400 What is 0.00579617526 rounded to 7 dps? 0.0057962 What is 32.06065722 rounded to the nearest integer? 32 What is 1304953162 rounded to the nearest ten thousand? 1304950000 Round -15.5801984 to 3 decimal places. -15.58 Round -2483229.847 to the nearest one thousand. -2483000 Round 15046469.08 to the nearest one million. 15000000 Round -0.0001843904214 to five decimal places. -0.00018 Round 0.000366012019 to six decimal places. 0.000366 Round 2647127.8 to the nearest one million. 3000000 What is -59631.68369 rounded to the nearest 1000? -60000 What is -0.00015902838 rounded to 5 decimal places? -0.00016 Round -0.00015506057 to six decimal places. -0.000155 Round 19968.96151 to the nearest one thousand. 20000 What is -25113521.4 rounded to the nearest one million? -25000000 Round 0.01265588751 to five dps. 0.01266 What is -20.12652561 rounded to 2 decimal places? -20.13 What is 41157.6447 rounded to the nearest integer? 41158 Round -4.10078126 to two decimal places. -4.1 Round 27726.076 to the nearest ten thousand. 30000 What is -143850.704 rounded to the nearest 100? -143900 Round 2315846.879 to the nearest ten thousand. 2320000 What is -15.2544626 rounded to two decimal places? -15.25 Round -0.231215546 to one decimal place. -0.2 Round 0.009695361 to 4 dps. 0.0097 Round 0.0000729059416 to 5 decimal places. 0.00007 Round 13.5554173 to the nearest integer. 14 What is 47927.1328 rounded to 0 decimal places? 47927 Round -0.166083315 to 2 decimal places. -0.17 Round 3.878897369 to 1 dp. 3.9 Round -5.4209269 to two dps. -5.42 What is -0.198532572 rounded to four dps? -0.1985 Round -0.0027614234 to seven decimal places. -0.0027614 Round 1541332198 to the nearest one million. 1541000000 Round 0.929990784 to 3 decimal places. 0.93 What is -48754846 rounded to the nearest 100000? -48800000 What is 15035966.57 rounded to the nearest 10000? 15040000 Round -2483342.2 to the nearest 1000. -2483000 Round 0.68598048 to four decimal places. 0.686 What is -315716.2946 rounded to the nearest 1000? -316000 What is 5134330770 rounded to the nearest one million? 5134000000 What is 34.9627791 rounded to zero decimal places? 35 Round -0.0003688295067 to 7 decimal places. -0.0003688 What is 26.908629 rounded to two decimal places? 26.91 What is -0.000045319374 rounded to five dps? -0.00005 Round 3.137560599 to 2 decimal places. 3.14 What is 51842950.2 rounded to the nearest one million? 52000000 Round -0.2170290796 to three dps. -0.217 Round 1.45734723 to two decimal places. 1.46 Round 0.0002652401049 to six decimal places. 0.000265 Round -0.0000770426577 to 7 decimal places. -0.000077 What is 39.8950227 rounded to 0 decimal places? 40 Round 2819.542194 to one dp. 2819.5 What is 16.3525964 rounded to 3 dps? 16.353 What is 43571.2997 rounded to the nearest integer? 43571 Round 40178893 to the nearest 1000. 40179000 What is 0.0000326123307 rounded to six dps? 0.000033 What is -2048660.892 rounded to the nearest 10000? -2050000 What is 12.8081743 rounded to two dps? 12.81 Round -202443.5983 to the nearest 10. -202440 What is 3.050639259 rounded to 2 dps? 3.05 What is 4.642982535 rounded to two decimal places? 4.64 Round -0.77113568 to 3 dps. -0.771 What is -0.00166077177 rounded to three dps? -0.002 Round -1.26172558 to 1 decimal place. -1.3 Round -12528.688 to the nearest 100. -12500 What is -0.01706014862 rounded to three dps? -0.017 Round 0.00123779196 to four decimal places. 0.0012 Round -25525559150 to the nearest 1000000. -25526000000 Round -0.00003900894 to six dps. -0.000039 Round -1836.5671 to the nearest 100. -1800 Round 27.53585504 to four decimal places. 27.5359 Round 1.626048579 to 3 dps. 1.626 What is -209.047486 rounded to two decimal places? -209.05 What is 2304.43477 rounded to 0 dps? 2304 What is -0.001974088 rounded to 2 decimal places? 0 What is 0.72484688 rounded to one decimal place? 0.7 Round 5951985.972 to the nearest 1000. 5952000 Round -0.00228290782 to 6 dps. -0.002283 Round -15409.33716 to the nearest integer. -15409 Round -100845.752 to the nearest 10000. -100000 Round -8.44428187 to four decimal places. -8.4443 What is 0.1439460659 rounded to 5 decimal places? 0.14395 What is 0.000001118770606 rounded to six decimal places? 0.000001 What is -41.03769 rounded to zero dps? -41 Round 3737.175 to the nearest one hundred. 3700 What is 0.0000807804986 rounded to 7 decimal places? 0.0000808 Round -0.0163439918 to six dps. -0.016344 Round 0.0003050924611 to 6 decimal places. 0.000305 Round 0.480514896 to three dps. 0.481 What is 2.623454276 rounded to 2 decimal places? 2.62 Round 7.38355682 to two dps. 7.38 What is 586156246.4 rounded to the nearest 1000000? 586000000 Round -21024.35716 to the nearest 10. -21020 What is -2252342.4 rounded to the nearest 10000? -2250000 Round -0.000458293041 to 6 decimal places. -0.000458 Round 0.00108584711 to 7 decimal places. 0.0010858 Round 0.0001599915458 to 7 dps. 0.00016 What is 215.976422 rounded to the nearest one hundred? 200 Round -1113807.857 to the nearest 100. -1113800 Round -23.5883725 to 2 decimal places. -23.59 Round 0.00000459142248 to 7 dps. 0.0000046 What is 16272015.1 rounded to the nearest one hundred thousand? 16300000 Round -0.00106811686 to five decimal places. -0.00107 Round 0.00006219265519 to five dps. 0.00006 What is -0.00019948553 rounded to four dps? -0.0002 What is 423726.298 rounded to the nearest 100? 423700 What is 0.000024544915 rounded to 5 dps? 0.00002 What is -0.0034026779 rounded to 4 dps? -0.0034 What is 16483973.26 rounded to the nearest one hundred thousand? 16500000 Round 0.00643813392 to four dps. 0.0064 What is -15321.52878 rounded to the nearest 10? -15320 What is -1.8925195 rounded to one decimal place? -1.9 What is -0.00000462267357 rounded to six decimal places? -0.000005 What is 5289.710777 rounded to 0 dps? 5290 What is 20.22062291 rounded to 0 decimal places? 20 Round 94.7438227 to the nearest 10. 90 Round 0.162495842 to 4 decimal places. 0.1625 Round -0.0533957421 to three dps. -0.053 Round -1426728104 to the nearest 100000. -1426700000 What is -11017.0502 rounded to the nearest integer? -11017 What
{ "pile_set_name": "DM Mathematics" }
808700000 How many micrometers are there in thirteen eighths of a centimeter? 16250 What is 3.045213 millennia in decades? 304.5213 How many millilitres are there in 27/5 of a litre? 5400 What is fifty-three quarters of a tonne in kilograms? 13250 What is 23/3 of a millennium in months? 92000 How many millilitres are there in 62.26025l? 62260.25 Convert 70422.75 millennia to months. 845073000 What is 64/3 of a century in months? 25600 How many hours are there in 1/4 of a day? 6 How many milligrams are there in 1/10 of a gram? 100 What is seventy-four fifths of a gram in milligrams? 14800 How many millilitres are there in seven eighths of a litre? 875 How many years are there in 31/5 of a millennium? 6200 Convert 5.708313 minutes to days. 0.00396410625 How many millilitres are there in 3/40 of a litre? 75 What is 99.90942kg in tonnes? 0.09990942 What is 8907.058ml in litres? 8.907058 What is 357.4276cm in micrometers? 3574276 Convert 431.2384l to millilitres. 431238.4 What is 3/10 of a centimeter in micrometers? 3000 Convert 3.09896 centuries to years. 309.896 How many years are there in 13/5 of a century? 260 Convert 61.71183mm to centimeters. 6.171183 How many micrograms are there in 183565.3ng? 183.5653 What is 62.53627 hours in microseconds? 225130572000 What is fourty-six fifths of a kilogram in grams? 9200 What is 6/5 of a century in months? 1440 How many millimeters are there in sixty-one halves of a meter? 30500 Convert 828113.4 millennia to decades. 82811340 How many millilitres are there in fifty-four fifths of a litre? 10800 What is 59/5 of a hour in minutes? 708 What is 5/4 of a litre in millilitres? 1250 Convert 0.8914536 nanograms to milligrams. 0.0000008914536 Convert 145400.5 nanograms to grams. 0.0001454005 What is 958.9612ug in kilograms? 0.0000009589612 What is eighteen fifths of a kilogram in grams? 3600 Convert 56.63086 millilitres to litres. 0.05663086 What is 4.264281 centuries in months? 5117.1372 How many millennia are there in 39405.1 years? 39.4051 How many meters are there in 267.1702 kilometers? 267170.2 What is 0.690872 millilitres in litres? 0.000690872 What is 10.547973 nanoseconds in hours? 0.0000000000029299925 How many micrograms are there in 0.8219804 nanograms? 0.0008219804 What is 95969.57 micrometers in kilometers? 0.00009596957 How many minutes are there in fourty-four fifths of a week? 88704 What is 17/2 of a tonne in kilograms? 8500 How many milligrams are there in 855486.6kg? 855486600000 How many centuries are there in thirty-seven fifths of a millennium? 74 What is 68399.24km in meters? 68399240 How many micrograms are there in 74/5 of a milligram? 14800 Convert 81015.19cm to meters. 810.1519 What is 0.7390482 weeks in hours? 124.1600976 How many micrometers are there in thirteen fifths of a centimeter? 26000 Convert 577.6482l to millilitres. 577648.2 What is 3414.706mm in nanometers? 3414706000 What is 84574.93 decades in millennia? 845.7493 How many months are there in 1/5 of a century? 240 What is 11/2 of a kilogram in grams? 5500 What is three fifths of a litre in millilitres? 600 How many microseconds are there in one twentieth of a second? 50000 Convert 0.7605466 millilitres to litres. 0.0007605466 Convert 301142.1 nanograms to kilograms. 0.0000003011421 What is 0.116016 months in decades? 0.0009668 What is 0.834421 days in microseconds? 72093974400 What is three tenths of a decade in years? 3 How many milliseconds are there in 1/6 of a minute? 10000 Convert 2782.907mm to kilometers. 0.002782907 What is five sixths of a hour in minutes? 50 How many micrometers are there in 6601.2cm? 66012000 What is 0.2152007kg in grams? 215.2007 Convert 58.73327 micrometers to centimeters. 0.005873327 What is 915154.3 days in seconds? 79069331520 How many meters are there in 68.50279mm? 0.06850279 What is 69.17716 years in months? 830.12592 What is 80.20753cm in meters? 0.8020753 How many microseconds are there in 34/5 of a millisecond? 6800 What is 15/4 of a millennium in months? 45000 What is 568.0564l in millilitres? 568056.4 What is three tenths of a litre in millilitres? 300 How many tonnes are there in 77950.6mg? 0.0000779506 How many decades are there in thirty-three fifths of a century? 66 What is eleven quarters of a hour in seconds? 9900 What is thirty-one halves of a hour in seconds? 55800 Convert 5.469492 decades to centuries. 0.5469492 Convert 13.40811ng to milligrams. 0.00001340811 What is eight sevenths of a week in hours? 192 How many nanograms are there in 3/32 of a milligram? 93750 What is seven halves of a century in months? 4200 How many microseconds are there in 979.4434 minutes? 58766604000 How many years are there in fourty-one halves of a millennium? 20500 How many kilometers are there in 0.8339933 micrometers? 0.0000000008339933 How many years are there in 8/25 of a century? 32 How many millilitres are there in 0.894801 litres? 894.801 How many microseconds are there in 88038.67 milliseconds? 88038670 What is 886.2896 centimeters in nanometers? 8862896000 What is seventy-six fifths of a gram in milligrams? 15200 What is 195061.6l in millilitres? 195061600 What is one tenth of a minute in seconds? 6 What is nineteen quarters of a litre in millilitres? 4750 How many seconds are there in 63.41978 microseconds? 0.00006341978 Convert 0.7352934l to millilitres. 735.2934 How many months are there in 41/2 of a year? 246 Convert 53.66094nm to kilometers. 0.00000000005366094 What is 5823.356 millennia in months? 69880272 How many grams are there in 57254.57 nanograms? 0.00005725457 How many millilitres are there in 27/5 of a litre? 5400 How many milliseconds are there in 1/36 of a hour? 100000 What is 87/5 of a microgram in nanograms? 17400 Convert 1429.877cm to millimeters. 14298.77 What is 27/4 of a kilogram in grams? 6750 What is 42.78603 seconds in milliseconds? 42786.03 What is 3/8 of a gram in milligrams? 375 How many nanometers are there in 1/4 of a micrometer? 250 How many millilitres are there in twenty-one halves of a litre? 10500 What is one sixteenth of a tonne in grams? 62500 What is 54/5 of a century in years? 1080 What is 51.2636 weeks in days? 358.8452 Convert 2327.917 milligrams to grams. 2.327917 What is ninety-three quarters of a microgram in nanograms? 23250 How many meters are there in 2831.584mm? 2.831584 How many millimeters are there in 304.2311 centimeters? 3042.311 Convert 63.57087 years to millennia. 0.06357087 How many months are there in 27/5 of a decade? 648 How many millilitres are there in 27/5 of a litre? 5400 What is 3/10 of a centimeter in millimeters? 3 Convert 9.31117 decades to millennia. 0.0931117 What is 1/9 of a week in minutes? 1120 What is 2/7 of a week in days? 2 What is 4/15 of a minute in seconds? 16 What is 21/5 of a century in years? 420 How many milligrams are there in 0.5886084 grams? 588.6084 What is 11/4 of a microgram in nanograms? 2750 How many weeks are there in 1245396.411 nanoseconds? 0.0000000020591871875 What is 3/50 of a litre in millilitres? 60 What is 1890.272ml in litres? 1.890272 Convert 0.5536594nm to centimeters. 0.00000005536594 What is 3/50 of a kilometer in millimeters? 60000 How many milligrams are there in 1/16 of a kilogram? 62500 How many years are there in 0.227225 millennia? 227.225 How many months are there in 1/15 of a century? 80 What is one quarter of a kilometer in meters? 250 What is 1.853134 millennia in decades? 185.3134 Convert 593122.446 microseconds to weeks. 0.000000980691875 How many milligrams are there in 21/4 of a gram? 5250 What is 708.7493 years in centuries? 7.087493 What is 176.225 litres in millilitres? 176225 How many micrometers are there in 840404.1 kilometers? 840404100000000 What is 3/10 of a kilometer in centimeters? 30000 How many minutes are there in fourty-four fifths of a hour? 528 How many nanograms are there in 8698.795ug? 8698795 How many grams are there in 998.7273 milligrams? 0.9987273 How many centimeters are there in thirteen fifths of a meter? 260 How many months are there in 11/8 of a century? 1650 Convert 64236.43 micrograms to nanograms. 64236430 Convert 0.9772072 centuries to decades. 9.772072 How many nanograms are there in one tenth of a microgram? 100 How many minutes are
{ "pile_set_name": "DM Mathematics" }
suming f is positive. f**(-1430/3) Simplify p**(3/5)*p*p**(-4)*p*p**(17/4)*p*p*p**23 assuming p is positive. p**(557/20) Simplify ((n*n**(-2/3)/n)**(-34)/(n**8*n**(3/10)))/(n**7*n**(-4/5)*(n*n**(1/3))/n*n**6) assuming n is positive. n**(11/6) Simplify ((p**(-4/5)/((p/(p*(p*p**(1/4))/p*p*p*p))/p))/((p*p**(-1)*p)/p)**4)/((p/p**4*p**6*p*p)/(p**(-3/7)*(p/p**2*p)/p)) assuming p is positive. p**(-417/140) Simplify ((o*o**0)/o)**(5/3)*(o*o**(-2)/o)/(o*o**(-1/6))*(((o/(o/(o*o**(-2/11)*o*o*o*o)*o))/o)/o**(-7))**(-2/85) assuming o is positive. o**(-17191/5610) Simplify ((p**(3/4)*p**(-5/11))/((p**(-1/27)/p)/p**29))**(-6/7) assuming p is positive. p**(-36035/1386) Simplify (i*i**(-47))/i*i**(-16/9)*i**18*i*i**11 assuming i is positive. i**(-169/9) Simplify (((i*(i**(-3/10)/i)/i)/(i**(-26)*i))/(i/(i**(-8/3)/i))**(4/15))**(1/63) assuming i is positive. i**(2021/5670) Simplify ((b/(b**(-3)/b))**(5/3)*(b/(b*b/(b*b*b**(-4/13)*b)))/(b*b**(-1/11)))**(-41) assuming b is positive. b**(-160351/429) Simplify (b/(b*b/b**(-2/5)))**(-5)*b/b**4*(b*b/b**3*b)/b*((b*b**(-2/13))/(b/b**(-10)*b*b))**(-5/12) assuming b is positive. b**(629/78) Simplify ((v/(v*v/(v**(-11)*v)))/(v**(2/19)*v)*(v**4/v)**16)**(-11) assuming v is positive. v**(-7502/19) Simplify (w**0/(w**(-2/21)*w*w))**(-7)/(w**(-8)*w/(w/(w*w**(1/5)))*w**(-6)/(w/w**(-1/7))) assuming w is positive. w**(2864/105) Simplify (((r**(-1/4)/r)/((r*r/r**(2/35))/r))/((((r**(-10)/r)/r)/r)/r**(2/9)))**(-31) assuming r is positive. r**(-430807/1260) Simplify (j**3/j*j/(j*j/j**(-2/9)*j)*(j**(1/5)*j)/j**(-1/4))/((j*j*j*(j/(j*j*j*j**(-3)*j))/j*j)/j**(-3/8)*(j**0*j)**(-4/21)) assuming j is positive. j**(-4931/2520) Simplify ((t**(1/2))**36)**(-6/5)*(t**(-6)*t/t**(-4))/(t*(t/t**(-1/4))/t)**(-4) assuming t is positive. t**(-88/5) Simplify (l*l**(-1))**(2/121)*((l*l*l*l**(-3)*l)/l)/l**3*(l/(l/(l*(l*l**(-3)/l)/l*l*l))*l*l*l*l*(l/(l*l*l*l**(-1/4))*l)/l)**6 assuming l is positive. l**(9/2) Simplify ((s**(-2/5))**(2/21)/((s**(-1/2)*s)/(s**0/s)))/((s*s**(4/7))/(s**4*s))**(-2/45) assuming s is positive. s**(-71/42) Simplify ((z*z*z**(-2/9)*z)**(2/9))**(1/20)*((z*z/(z**(-8)*z))/(z*z**6))/((z/z**(1/8))/z**(-1/3)) assuming z is positive. z**(533/648) Simplify (p/(p*p/(p**(-6)/p)))/(p*p**(-14/3))*(p**(9/2))**(-30/11) assuming p is positive. p**(-548/33) Simplify ((f**(2/5))**(-8/5))**8*((f**(2/5))**(-2/49))**(-5) assuming f is positive. f**(-6172/1225) Simplify ((((f/f**4)/f)/f)/(f/(f*f**(-3/7))))/(f**5*f*f*f**(3/2))*(f**0*f)**32*f/f**(-2)*f*f/(f*f**(-2/9)) assuming f is positive. f**(2809/126) Simplify ((((o**(-3/8)*o*o)/o*o*o/o**(-7/3)*o*o)/(o**(-2/3)/(o**(1/19)*o)))**(-2/3))**(-4/17) assuming o is positive. o**(1319/969) Simplify ((l/l**(-1/2)*l)**(-4/7))**(18/5)*(l**2*l*l**3*l*l*l)**(-1/7) assuming l is positive. l**(-45/7) Simplify ((((a**10*a*a)/(a*a**12))**(-1/6))**(1/36))**(-34) assuming a is positive. a**(-17/108) Simplify ((b**(-5)/(b*(b*b**(-2)*b)/b))/((b*b**(1/7))/b**(-2/3)))/((b/b**(-1))**(4/23)/(b*b**1*b**(-1/6))) assuming b is positive. b**(-5143/966) Simplify (((n*n**1)**(-18/13)*n**(-3)/(n**(-10)/n))**(2/45))**(-28/5) assuming n is positive. n**(-3808/2925) Simplify ((a*a**(-2/7))/a**2)**35*(a**(-1))**(-17)*a**(-1)*((a/((a*a**2*a)/a*a*a*a))/a*a)/a*a assuming a is positive. a**(-34) Simplify ((t*t/(t*(t/t**(-12))/t*t)*t*t*((t**(7/3)*t)/t)/t)/(t**(2/3))**23)**44 assuming t is positive. t**(-1056) Simplify (l*l**(-3/13)*l)/l**(-34)*(l**16/l)**6 assuming l is positive. l**(1635/13) Simplify (k**(-1/2))**(2/5)/((((k*k**5)/k)/k)/k**1)*(k**(-7/4)*k*k/(k/k**(-2/3)))**31 assuming k is positive. k**(-2827/60) Simplify (((y/(y/y**(2/7)))/y*y*y)**21)**(12/17)*y**(-3/4)*y/((y/(y*y**(-3)))/y)*(y**(-1))**(-4/11) assuming y is positive. y**(13219/748) Simplify (j*j*j**(-2/13))/j*j*j**1*(j/(j*(j/j**(-1/3))/j))**25*(j**(-2/5)/j*j**(1/5))/(j*j**(-2/11)*j*j/j**(1/8)) assuming j is positive. j**(-160967/17160) Simplify (v**(1/2))**19*v/(v/(v/(v*v**1*v)))*v**(-4/3)*v**(2/11)/(v*(v*v*v**(-3))/v)*((v/(v**(-5)/v))/v)/v**1 assuming v is positive. v**(815/66) Simplify ((v**(-1/2)/(v*v**(-3)))/((v**5/v)/v**(1/2)))/((v**(-2/7))**11/(v/(v*v**1)*v**(-5))) assuming v is positive. v**(-34/7) Simplify ((x*x*(x*x*x**8)/x*x*x)/x*x*x**(5/4)/x)**(-4/13)*x**(2/3)*x/(x/(x**5/x))*((x**0*x)/x)**(-2/65) assuming x is positive. x**(23/39) Simplify ((g**(-2/3)*g)**(-49)*(g**(-1)/g)**(-11))/((g**(-1)/g)**0/(g**1)**6) assuming g is positive. g**(35/3) Simplify ((a**2*a**(-2/3)*a**(-7)/(a/(a/a**(-2))))**(2/21))**(-49) assuming a is positive. a**(154/9) Simplify (((d**0*d)/(d**2/d))/(d**(-2/15)/(d/d**(6/7))))/(d**(-3/5)*d*d/(d/(d*d/d**(-3))))**(12/5) assuming d is positive. d**(-6659/525) Simplify ((y**(-1/3))**(2/35)*((y**(1/3)/y)/y)/((y/(y*y*y**(2/5)))/y))/(y**0*y*y/(y/(y/y**(-2/7))*y)*(y**(2/5))**(-11)) assuming y is positive. y**(134/35) Simplify (s**(1/4)*s**(-22)*(s**5)**(4/19))**(-35) assuming s is positive. s**(55055/76) Simplify (((((d/d**(-1/12))/d)/(d**(-3/8)/d))**(-3))**(-9/2))**(-1/13) assuming d is positive. d**(-315/208) Simplify (((f/(f**(11/4)*f))/f*f**(8/13))/(f**(-10)*(f/((f/(f**(-22)*f))/f*f))/f))**30 assuming f is positive. f**(22515/26) Simplify ((w**(-7)/w**(-6))/((w/(w**(-1/4)*w)*w)/(w/w**(1/5))))/((w**(-1/3))**(-12/17)/(w*w*w**(-1/2)/w)**(20/3)) assuming w is positive. w**(1681/1020) Simplify (((a**(-7)*a)/a*a**5*a**(-5/6)/a*a*a*(a*a**(-7))/a)**27)**(3/4) assuming a is positive. a**(-1431/8) Simplify ((((r*r**(-2/57))**(-2/11))**13)**(-48))**(-31) assuming r is positive. r**(-64480/19) Simplify t**(12/5)*t**(1/8)*t**(6/5)/(t*t**28*t*t*t) assuming t is positive. t**(-1131/40) Simplify g**(-29)/g**25*g**(18/11)*g/g**(2/47) assuming g is positive. g**(-26577/517) Simplify ((n**14*n)**(1/13)/(n*n*(n**(7/5)/n)/n)**14)**(8/5) assuming n is positive. n**(-9592/325) Simplify (((i*i**(3/16)/i)/(i/(i**(-23)*i)))/(i**(1/14)*(i/i**(-6))/i*i))**(-2/3) assuming i is positive. i**(3347/168) Simplify ((t**(-1)/t)**(-6))**42*(t**(-2/5))**(-11)/(t**(-3/4)/((t/t**(2/17))/t)) assuming t is positive. t**(173071/340) Simplify x*x**(4/19)*x*x*x**(-45)*x*(x**43*x)**42 assuming x is positive. x**(34337/19) Simplify ((j**10*j*j**(-2/25)*j)/(j*(j/(j/(j**(-43)/j)))/j*j*j*j**(-1/9)))**(13/7) assuming j is positive. j**(158041/1575) Simplify (((n**(-1/6))**(1/13)*n/(n*(n**10*n)/n*n)*n*n*n**(1/8))**(-7))**(-12) assuming n is positive. n**(-19411/26) Simplify (((i*i**0)/i)**(6/11)*i**0*i/(i/i**(-3/5)))/(i**(1/2)*i*i**2)**(-36) assuming i is positive. i**(627/5) Simplify ((l**6*l)**(-6/19)*((l*l*l*l**1*l*l)/l)/((l**18/l)/l))**(-30) assuming l is positive. l**(7530/19) Simplify (o**(2/9)/o)/o**(7/5)*o/(o**(-5)/o)*((o/(((o/(o/(o/(o*o**(2/13)/o))))/o)/o))/o)/o*((o/o**4*o)/(o*o*o**(-1)))**(-38) assuming o is positive. o**(69601/585) Simplify ((n**6)**(-19/4)*(n*(n**(-6)/n)/n*n*n*n)/(n*n**(-20)))**17 assuming n is positive. n**(-459/2) Simplify ((k**(1/2)*k*k)/k*k*((k*k/(k/(k**(-3)*k*k))*k*k)/k)/k*k*k**(-5)/(k/(k/(k*k**(-1/26)))))**(-1) assuming k is positive. k**(32/13) Simplify g**(-5/4)/(g/g**3*g)*(g**(-4)/g)/(g*g**(-2/21)*g*g)*((g*((g**(-6)/g)/g)/g)/g**(-2/7))/(g**(2/3)*g*g)**(-21/4) assuming g is positive. g**(-157/84) Simplify ((c**0*c*c*c)/(c*c/(c/c**4)))**14*((c**(-1))**(6/5))**(-7/5) assuming c is positive. c**(-658/25) Simplify (p/p**3*p/(p*p**(-2/7)*p)*p**(-2/3)*p*p*p/(p**(-3/2)*p))/((p**2*p/(p*p/(p/(p*p*p**(1/4))))*p)/(p/(p**3/p*p)*p**(-6))) assuming p is positive. p**(-725/84) Simplify ((t**2/t)/t)**33/(t**(-1)*t)**(-27)*(t**4*t**3)/(t**(2/3))**(-9/8) assuming t is positive. t**(31/4) Simplify (l**(-9/4)/l**(8/9)*l**(6/11)*l**29/l)**42 assuming l is positive. l**(70427/66) Simplify (l**3/l**(2/5)*l**2*l**6)/(((l/l**(-2))/l**7)/(l**(2/13)/l*l*l**5)) assuming l is positive. l**(1284/65) Simplify ((d**(-3/2)/d)/d**(3/2))**(-47)/((d*d*d**7)/(d**0*d)*(d*d*(d**7/d)/d)/(d*d**7/d*d*d)) assuming d is positive. d**182 Simplify a**(-1/3)/(((a/a**(-5)*a)/a)/a)*(a**0*a)**(4/5)*(a**3/(a*a**(-1/14)*a))**(-48) assuming a is positive. a**(-5876/105) Simplify (((t*t*t/(t**(-44)*t))/t)/((t/(t**(-10/7)/t))/t*t))/(((t*t/(t/(t*t**(3/14))*t*t)*t)/t)/t**44) assuming t is positive. t**(1195/14) Simplify (m**0/m)**(-19)/(m**(3/4)*m**(1/3)*m)*((m*((m*m**(-1/7)*m)/m)/m)/(m*m**8))/(m**(-8)*m*m**(-5
{ "pile_set_name": "DM Mathematics" }
is smaller: -1 or 459? -1 Is -2/23363 at least -1? True Which is smaller: 5/601 or 0? 0 Is 154 <= 156? True Which is bigger: 2/165 or 1? 1 Is -125 at most as big as -121? True Which is smaller: 0 or 1/4252? 0 Is -1/3 less than or equal to 0.789? True Which is smaller: -87 or -1150/13? -1150/13 Which is bigger: 0 or -18/29? 0 Which is smaller: -2345 or -2346? -2346 Is 3/184 >= 0? True Which is greater: 1 or 1/9505? 1 Which is greater: -3012 or -3010? -3010 Which is greater: 1 or -1/4858? 1 Which is smaller: -5 or -115/24? -5 Which is greater: 2/103 or -2/13? 2/103 Which is smaller: 2/7 or -153.6? -153.6 Is 1/30 not equal to 0.04? True Is 540 at most as big as 541? True Is 19 equal to 6? False Which is greater: -273.6 or 1? 1 Which is smaller: -128 or 59? -128 Which is smaller: 91 or 90? 90 Is 3 less than or equal to -835? False Which is bigger: -43 or -35? -35 Which is smaller: 0 or 7/6? 0 Which is smaller: 8 or -71/7? -71/7 Which is smaller: -68 or -1067/16? -68 Which is smaller: -2/7869 or 1? -2/7869 Is 1/3540 < 1? True Which is smaller: 0.03 or 1793? 0.03 Is -263 at most as big as -56? True Which is greater: -3 or 633? 633 Are 1 and 51/533 nonequal? True Is -14/4387 <= -1? False Which is bigger: -0.07 or -44/3? -0.07 Which is smaller: -1 or -19/54? -1 Which is smaller: -10631 or -10630? -10631 Which is greater: 136 or 154? 154 Is -16 greater than -45? True Which is bigger: 1412 or 1413? 1413 Which is smaller: 2/77117 or 1? 2/77117 Which is smaller: 4/41 or -1? -1 Which is greater: -1/163 or -1? -1/163 Does 1000 = 999? False Which is bigger: -1 or 25/2281? 25/2281 Which is smaller: 18 or 62? 18 Is 17 at most 1.1? False Which is smaller: 0 or -187/241? -187/241 Is -82 at most -87? False Which is bigger: -91 or -1/3? -1/3 Is -1 at least -1/2? False Which is bigger: -0.02 or -2? -0.02 Do 610 and 588 have the same value? False Which is greater: 709 or 710? 710 Is -1 at most -3/49? True Which is greater: 466 or 531? 531 Which is smaller: -3/35 or 15? -3/35 Which is smaller: 0.1 or 3/7373? 3/7373 Is -6253 greater than -6253? False Is -85 <= 8/7? True Is -3857 > -3857? False Do 0.0721 and -0.1 have the same value? False Are -9227 and -9227 unequal? False Which is greater: 1/27 or 2/15? 2/15 Which is smaller: 43 or -277? -277 Is 121 < 121? False Which is smaller: -0.2 or 570? -0.2 Is 0 at most -1/22118? False Which is smaller: 11 or 6? 6 Do 1/3 and -98.83 have the same value? False Are -1/3 and 0.097 unequal? True Which is smaller: -1 or 85? -1 Which is smaller: -1 or 81/593? -1 Do 19 and 17 have different values? True Are -2 and -292/333 nonequal? True Is 0 at most -1372? False Is 15 > 19? False Which is smaller: 66/283 or -1? -1 Is 11.6 smaller than 0.1? False Is 0.11 > 0.9? False Which is smaller: 333/10 or 33? 33 Which is smaller: -36 or -44? -44 Are -7/3537 and 0 unequal? True Is -1 at most -375? False Which is bigger: 21 or 24? 24 Is 0 at most as big as -3/5? False Are 338 and 1 equal? False Is 169 at least as big as 167? True Is 1 less than or equal to 6/85? False Is 7858 greater than or equal to 23578/3? False Which is bigger: -67 or -2? -2 Is -8231 < -8231? False Is -41 greater than or equal to -44? True Do 5755 and 5754 have the same value? False Which is smaller: 12 or 197? 12 Is 184/29 smaller than 7? True Are 1 and -8/85 nonequal? True Which is bigger: 1 or -2/135? 1 Is 16 smaller than -0.1? False Which is smaller: -4 or -21.7? -21.7 Is 19 >= 20? False Which is smaller: 5108.3 or 0? 0 Are -30/17 and 2/3 nonequal? True Is -33/1453 at most as big as -1? False Is 6499 greater than or equal to 6501? False Is 16 <= -3/13? False Is 56 <= 50? False Is 2/1117 smaller than -1? False Which is bigger: -23 or -5/11? -5/11 Which is bigger: -48/23 or -2? -2 Is -2838 > -2838? False Is 0 at least as big as 1/2221? False Is -1110 bigger than -1107? False Which is smaller: 786 or 788? 786 Is -201 at least as big as -201? True Which is smaller: 2 or 1449? 2 Is -1 > -0.0404? False Which is greater: -30 or -32? -30 Is -1/14 >= 0? False Which is smaller: 78 or 9? 9 Which is smaller: 0 or -2/1233? -2/1233 Which is smaller: 56 or -5? -5 Is -20 equal to -33? False Is 13498 less than or equal to 13498? True Is -82 at most -7? True Is -9 less than or equal to -9? True Is 185 smaller than 1? False Is 152 at least as big as 152? True Is -154 <= -155? False Is -233/132 < -2? False Is -52923 <= 1/3? True Which is greater: -3/199 or -0.1? -3/199 Which is bigger: 10563 or 10564? 10564 Which is smaller: -1027 or -8213/8? -1027 Is 0 bigger than -4/5339? True Is -12 greater than or equal to -175/16? False Which is smaller: -98 or -1? -98 Is 5525 > 5526? False Which is greater: 1467 or -0.08? 1467 Which is greater: 20 or 37/2? 20 Which is smaller: 2/68533 or 1? 2/68533 Which is greater: 57 or 58? 58 Which is smaller: 130 or 113? 113 Which is bigger: -2/5 or -99? -2/5 Is -193 not equal to -260? True Is -0.4 < 189? True Which is bigger: -2062 or -2064? -2062 Which is smaller: 1 or 17/227? 17/227 Which is bigger: 103 or 78? 103 Which is greater: -24/25 or -1? -24/25 Are -86 and 2/115 equal? False Do 1 and 4/1019 have the same value? False Which is smaller: -3/142 or 1? -3/142 Is 48 smaller than 50? True Is 15/34 equal to -1? False Which is smaller: -15030 or -15031? -15031 Is 4194 less than 4196? True Which is greater: -0.04 or -13/79? -0.04 Which is smaller: 1 or -61/141? -61/141 Is 7/169 less than or equal to -1? False Which is smaller: -35/106 or -1? -1 Do 133 and 2 have the same value? False Does -98 = 2? False Which is smaller: 13.2 or 0.06? 0.06 Is -1 != 29/475? True Which is smaller: -2/2355 or 1? -2/2355 Is 2/5447 less than 0? False Is -389 less than or equal to -397? False Is 0.3 smaller than -1/23? False Is -1557 greater than 2/5? False Are -4697 and -2/3 unequal? True Is 1145 != 1142? True Which is smaller: 201 or -2? -2 Which is smaller: 38 or 31? 31 Is 4746 not equal to 4747? True Which is bigger: 23/29 or 0? 23/29 Which is greater: -6/1105 or 1? 1 Which is smaller: -271/21 or 0.1? -271/21 Is 1443 greater than 1443? False Is 1 less than 182? True Which is smaller: 23 or -172? -172 Is 2 less than -245? False Is 1407 greater than 1406? True Which is smaller: -1056 or -1057? -1057 Is -511 bigger than 1? False Which is smaller: -784 or 0.22? -784 Is 562 greater than or equal to 563? False Which is greater: 0.346 or -8/3? 0.346 Is 1.25 not equal to -0.19? True Which is smaller: 4874 or 4882? 4874 Which is greater: 252.7 or 1? 252.7 Is -3986 <= -7969/2? True Is -21 smaller than -5? True Which is greater: 6 or -11? 6 Which is bigger: -2 or -19/8? -2 Which is bigger: 0.101 or 86? 86 Which is bigger: 60/2839 or -1? 60/2839 Is -0.02 at least as big as 14/25? False Which is bigger: 1/1076 or -1? 1/1076 Which is bigger: 43 or 44? 44 Is 1/3057 >= -1? True Which is greater: 0.07 or 11? 11 Which is smaller: 25 or 54? 25 Is 48/67 <= 2? True Which is smaller: 550 or 1646/3? 1646/3 Is -2/7 bigger than -1? True Which is smaller: -8975/6 or -1495? -8975/6 Is -99 > -101? True Which is greater: -305 or 43? 43 Is 1 > -1/3295? True Which is smaller: 457 or 489? 457 Which is smaller: -10 or -231/23? -231/23 Are -7/6 and -8/5 nonequal? True Is -60 less than -46? True Which is greater: -42 or -44? -42 Which is bigger: 5707/3 or -1/3? 5707/3 Are -21 and -842/43 equal? False Is -1.8019 >= -1/3? False Which is smaller: -41/5 or -7? -41/5 Are 28208 and 28209 non-equal? True Is -1 > -2/18393? False Is -1 bigger than 25/171? False Which is bigger: -2.3 or -3/2? -3/2 Which is smaller: -37 or -0.6? -37 Which is smaller: 2 or -0.0099? -0.0099 Is -15/5144 < 1? True Is 3 less than or equal to 146? True Is 34/19 not equal to 2? True Which is smaller: -7997 or -23990/3? -7997 Which is greater: -13 or -2? -2 Is 1415 bigger than 1417? False Which is smaller: 30/49 or 0? 0 Which is smaller: -115/7 or -17? -17 Are -499 and -479 equal? False Which is smaller: 2/653 or 9? 2/653 Which is smaller: -1503 or -3005/2? -1503 Which is smaller: -301/100 or -2? -301/100 Which is smaller: 0.0185 or -1? -1 Which is smaller: 1/779 or 1? 1/779 Which is smaller: 1490 or 1495? 1490 Is -0.9 smaller than -0.6? True Which is greater: 2 or 150? 150 Which is greater: 314 or 315? 315 Is -22706 less than -22705? True Is -78 >
{ "pile_set_name": "DM Mathematics" }
Let p be r(-4). Round p to the nearest 100000. -500000 Let b = -710283524.9841853 - -710283493. Let x = 17.98418497 + b. Let a = -14 - x. What is a rounded to seven decimal places? 0.0000003 Let h = 0.11 - -0.934. Let f = h - 0.95. What is f rounded to 2 dps? 0.09 Let r = 0.56642 - 0.56. Let o = r + -0.007. Round o to four decimal places. -0.0006 Let c = 382.0191 - 382. Round c to three dps. 0.019 Let u = -0.796 + -0.214. Let s = -13.79 + u. What is s rounded to zero dps? -15 Let u = 3.6 - 3.6025. What is u rounded to 3 decimal places? -0.003 Suppose 22*t - 189600 = 28*t. What is t rounded to the nearest one thousand? -32000 Let z = 17.81 + 0.19. Let s = 17.999908 - z. What is s rounded to 5 dps? -0.00009 Let z = 539.05005 + -539. Let l = z + -0.05. What is l rounded to 5 dps? 0.00005 Suppose 6*z - 624 = 3*z. Suppose -d = -5*d - z. What is d rounded to the nearest ten? -50 Let m = -62.124 + 62. What is m rounded to two decimal places? -0.12 Suppose -2*o + 3*u = -0*o + 30146, 0 = o - 4*u + 15078. Let m = o - -100070. Round m to the nearest ten thousand. 90000 Let d = -9616014912876.000007 - -9616009231416. Let j = d + 5681468. Let s = -8 + j. What is s rounded to five dps? -0.00001 Let a = -7.43932 + 3.43931. Let b = 4 + a. Round b to five dps. -0.00001 Suppose 2*i + 2*k - 2430 - 1172 = 0, -2*k = -2. What is i rounded to the nearest ten thousand? 0 Let g = 0.34 - 0.340013. Round g to 5 dps. -0.00001 Let n = 117.5 - 100. What is n rounded to the nearest ten? 20 Let w = 6040998 - 11950998. What is w rounded to the nearest 1000000? -6000000 Let j = 35197.779 + -35228. Let v = j - -30.1. Let a = v - -9.821. What is a rounded to 0 dps? 10 Let p = 180.20966 + -201.21. Let g = 21.3 - 0.3. Let s = p + g. Round s to four dps. -0.0003 Let a = 195738 - 101354. Suppose a = -4*z - 4*n, -5*z - 38094 = -4*n + 79922. Round z to the nearest 1000. -24000 Let q = -2269 + 30269. Round q to the nearest ten thousand. 30000 Let f = 0.0619996 - 0.062. What is f rounded to 7 dps? -0.0000004 Let a = 1.2 + 5.12. Let b = a + -7. Let p = -4.42 + b. Round p to 0 dps. -5 Let j = 1.65 + -0.32. Let f = 279410.66947 + -279412. Let y = f + j. What is y rounded to 4 decimal places? -0.0005 Let g = 0.05 - 0.83. Let i = 0.08 + g. Let y = i + 0.7000016. What is y rounded to six decimal places? 0.000002 Let q = 4.7 + 0.9. Let d = 6 - q. Let j = -0.31 + d. What is j rounded to 2 dps? 0.09 Suppose -1258 = -3*r + 152. What is r rounded to the nearest one hundred? 500 Let c = -36 + 39.6. Let m = 3 - 3.5. Let v = m + c. Round v to 0 dps. 3 Let t = -15.71 - -0.21. Let l = t + -2.5. Let u = l + 19.24. Round u to one decimal place. 1.2 Suppose -48400882 = 5*d + 20599118. What is d rounded to the nearest 1000000? -14000000 Let s = -405397256.1 + 407055966.0959. Let g = s + -1658640. Let k = g + -70. Round k to three decimal places. -0.004 Let i = 8.933 - 0.003. Let f = 9 - i. Let z = f - 0.0699. What is z rounded to 3 decimal places? 0 Let g(m) = 1035*m**2 - 2*m + 4. Let c be g(5). Suppose -2*i - i = -c. Let l = i + -18523. What is l rounded to the nearest 1000? -10000 Let t = 5 + 0. Suppose 2*l + 12 = t*l. Suppose 3769091 = -l*w - 13430909. What is w rounded to the nearest 1000000? -4000000 Let s = 160 + -159.915. Round s to one dp. 0.1 Let d(r) = -762500*r**3 - r**2 + r + 2. Let u be d(2). What is u rounded to the nearest 1000000? -6000000 Let x = 0.3 + -0.306. Let m = x + 0.005913. Round m to 5 dps. -0.00009 Let t = 56 - 55.9995. What is t rounded to three decimal places? 0.001 Suppose -53967 = -3*m + 6*n - 5*n, m + 4*n = 18002. Let l = -4 - -4. Suppose 0*x + 4*x + c - 23995 = l, 3*x + 2*c = m. Round x to the nearest 10000. 10000 Let m = -8489680.00083 + 8489862. Let s = 182 - m. What is s rounded to 4 dps? 0.0008 Let h = 1.054 - 22.334. Let g = h + 22. What is g rounded to one dp? 0.7 Let l = 15 - -1. Let u = l + -15.9999985. What is u rounded to six dps? 0.000002 Suppose 4*l - 500000 = 2*l. Round l to the nearest one hundred thousand. 300000 Let k = 1.2 - -0.4. Let t = -176.22 + 178. Let f = k - t. Round f to one dp. -0.2 Let p = -0.5 + 0.8. Let b = -1.45 + p. Let s = 0.05 + b. What is s rounded to the nearest integer? -1 Let t = 18 - 18.85. Let i = 1.56 - 0.16. Let j = i + t. What is j rounded to 1 dp? 0.6 Let v = -0.55 - 0.29. Let o = v + 0.9432. Let i = o + -0.1. Round i to 3 dps. 0.003 Let k = -226527.1953 - -226537. Let q = k - 9.8. What is q rounded to three decimal places? 0.005 Suppose -5 - 1 = -l. Let y(s) = -6 - 16*s**2 + 6*s - 15*s**2 - 29*s**2. Let r be y(l). What is r rounded to the nearest one hundred? -2100 Let t(v) = -v**3 - 2*v**2 - v - 213. Let r be t(0). Round r to the nearest 10. -210 Let d = -55 - -54.73. Let h = 0.270029 + d. Round h to 5 dps. 0.00003 Let t be (2 + -4)/((-6)/9). Suppose 5*s + 7608798 = t*s. Let p = s - 195601. Round p to the nearest one million. -4000000 Let a = -30 - -16. Let m(d) = 4389*d**2 + 18*d + 8. Let g be m(a). What is g rounded to the nearest 100000? 900000 Let m = 323 + -323.0000129. Round m to six decimal places. -0.000013 Let s = -88.66 + -1.34. Let q = 88.86 + s. What is q rounded to one decimal place? -1.1 Let n = 52356777.48999941 + -52356778. Let z = -0.51 - n. What is z rounded to seven dps? 0.0000006 Let b(g) = -5*g - 1. Let w be b(4). Let q = 14 + w. Let u be 2/q + 74199996/(-14). What is u rounded to the nearest one million? -5000000 Let t = 3 - 2.6. Let o = -0.4 + t. Let k = o + -0.0002. What is k rounded to 4 decimal places? -0.0002 Let b(x) = -2779*x**2 - 6*x + 8. Let w be b(-6). Round w to the nearest one million. 0 Let m = 12.499949 + -12.5. Round m to five dps. -0.00005 Let k = 1.999996 - 2. Round k to six dps. -0.000004 Let v = 11 + 43. Let l = 86200.4 + -86146.4031. Let p = v - l. What is p rounded to three dps? 0.003 Let k = 0.01 - 0.0002. What is k rounded to 2 dps? 0.01 Let g(d) = -d**3 + d**2. Let y be g(1). Suppose y = v + v - h + 157, -4*h - 56 = v. Let z = v - -38. Round z to the nearest ten. -40 Let c = -173.4 - -158. Let l = -17 - c. Let j = 1.59999989 + l. Round j to 7 dps. -0.0000001 Let s = 0.1 - 0.2. Let m = s - -0.0992. What is m rounded to four decimal places? -0.0008 Let y = -31 - -30.9882. Round y to three dps. -0.012 Let i = -15.9964 + 16. What is i rounded to 3 dps? 0.004 Let z = -2041564935.93789015 - -2041564775. Let y = 159.93789 + z. Let k = y - -1. Round k to 7 decimal places. -0.0000002 Let s = -923.998396 + 924. What is s rounded to four dps? 0.0016 Let o(r) be the third derivative of -36667/8*r**4 - r**2 + 5/6*r**3 + 0 + 0*r. Let k be o(5). What is k rounded to the nearest 100000? -600000 Let m = 0.0156965 - -3.9844835. Let r = m + -4. What is r rounded to four decimal places? 0.0002 Let n(q) = -q**3 - 12*q**2 + 13*q + 2. Let a be n(-13). Suppose -3*k + 6*k - a*t = -2768, 0 = 3*t - 12. Round k to the nearest 100. -900 Let w = -3.8 - -3. Let n = 0.07761 - -0.72236. Let g = w + n. What is g rounded to four decimal places? 0 Let u = 0.1 - 0. Let p = 0.155 - u. Let v = p + -0.05499951. Round v to 7 dps. 0.0000005 Let n = -18 + 20. Let g = 1084 - 603. Suppose 4*i = -4*j - g - 107, -n*i = -4*j - 606. Round j to the nearest one hundred. -200 Let q = 575.001124 + -575. Let m = -0.001 + q. Round m to 5 dps. 0.00012 Let v = 8 - 6. Let c(g) = 518*g**3 + 1 - g - 4 + 2*g**v + 2. Let t be c(3). What is t rounded to the nearest ten thousand? 10000 Suppose i - 10 = 6*i. Let s = i + 4. Suppose s*d - 3*d = -4*w - 8100020, 2*d + 4*w = 16199980. Round d to the nearest 1000000. 8000000 Suppose 6200 = w + 3*w. Round w to the nearest one hundred. 1600 Let f be (6/9)/(2/(-6)). Let u be ((-5)/(-15))/(f/(-30)). Suppose 0 = u*w + x - 12000001, 2*w - 2*x - 7199998 = -w. Round w to the nearest one million. 2000000 Let l = -60647252 + 34347252. What is l rounded to the nearest 1000000? -26000000 Let j = 0.652 - 0.082. Let n = 0.5700053 - j. Round n to six dps. 0.000005 Let g = -6.2230826914 - -0.0768896814. Let y = -57.14619091 - g. Let p = y - -51. What is p rounded to six decimal places? 0.000002 Let m = 0.13 - 15.13. Let k = m + 15.00000003. What is k rounded to 7 decimal places? 0 Let f = 104.00000028 + -104. What is f rounded to 7 dps? 0.0000003 Let h be 19019 - 16 - (-6)/(-2). Round h to the nearest 10000. 20000
{ "pile_set_name": "DM Mathematics" }
alse Does 38 divide 155648? True Is 876377622 a multiple of 5950? False Is 66961980 a multiple of 3324? True Is 74 a factor of 1088310227? False Is 955323925 a multiple of 8275? True Is 11 a factor of 482763? False Is 46474706 a multiple of 1007? False Is 244324904 a multiple of 3597? False Does 75 divide 1271649353? False Does 16 divide 1095252960? True Is 8109558 a multiple of 339? True Is 268 a factor of 4451348? False Is 62 a factor of 24893307? False Is 23 a factor of 1781466? False Is 251415704 a multiple of 266? False Is 1574523380 a multiple of 3580? True Does 816 divide 154603440? True Is 1125 a factor of 1111340250? True Is 4 a factor of 1354117? False Is 3864298080 a multiple of 368? True Does 40 divide 3199542880? True Is 679391695 a multiple of 6834? False Is 10 a factor of 7000420? True Is 11 a factor of 33701340? False Is 44295725 a multiple of 18? False Is 3653345647 a multiple of 52? False Is 67 a factor of 107851475? False Is 2619 a factor of 132585882? False Does 3 divide 214136928? True Is 378 a factor of 38625174? True Is 24 a factor of 4254089? False Does 10 divide 353267251? False Does 109 divide 451777641? True Does 234 divide 7284887? False Is 10346 a factor of 736739803? False Is 153959700 a multiple of 1263? True Does 2740 divide 2164936452? False Is 397674881 a multiple of 4990? False Is 43 a factor of 411794359? True Does 15845 divide 6435174714? False Is 50067848 a multiple of 327? False Does 1680 divide 65956215? False Does 344 divide 713211072? True Does 783 divide 10846899? True Is 30 a factor of 435077130? True Is 17793464 a multiple of 52? True Does 240 divide 168075961? False Is 327 a factor of 337175586? True Is 111 a factor of 169504104? True Is 22 a factor of 43420806? True Is 13500690 a multiple of 35? True Is 210630356 a multiple of 199? True Does 1115 divide 666154844? False Is 3008781746 a multiple of 15? False Is 4737707696 a multiple of 25? False Is 36 a factor of 1058964264? True Is 7 a factor of 286300861? True Does 1040 divide 22810861? False Does 1065 divide 7639320? False Is 32553675 a multiple of 2475? True Does 607 divide 36547260? False Is 12900176 a multiple of 16? True Is 14847343 a multiple of 12? False Is 344 a factor of 18012872? True Is 8123920 a multiple of 326? True Does 108 divide 728502865? False Is 267724392 a multiple of 886? True Is 3345756 a multiple of 42? False Is 27097020 a multiple of 87? True Does 3 divide 20543443? False Is 1371326764 a multiple of 2019? False Does 44 divide 3369209467? False Is 7 a factor of 338398542? False Is 36 a factor of 76807944? True Is 180231340 a multiple of 134? True Is 3931542023 a multiple of 616? False Does 10 divide 5156079? False Is 991 a factor of 1247801870? False Does 126 divide 130785542? False Is 412 a factor of 161450852? True Is 1254 a factor of 122206062? True Does 560 divide 65325120? True Is 41972820 a multiple of 670? True Is 138 a factor of 333986545? False Is 11 a factor of 480959446? True Does 158 divide 577457452? True Does 368 divide 22160224? True Does 11 divide 189609678? False Does 14 divide 25098556? True Does 8069 divide 958653683? True Is 392935416 a multiple of 3636? False Is 52185352 a multiple of 1021? True Is 24 a factor of 2141352? True Does 2 divide 47584152? True Does 1383 divide 1491767418? True Is 2606 a factor of 433185034? False Is 270053938 a multiple of 22? True Does 66 divide 11090112? True Does 11 divide 4326927? True Is 969 a factor of 28505073? True Is 7158 a factor of 4815044081? False Does 2 divide 136859260? True Is 72 a factor of 63225000? True Does 815 divide 41401404? False Does 7 divide 184384823? True Is 36155589 a multiple of 37? False Does 426 divide 1542290826? True Is 682054290 a multiple of 19? False Does 3102 divide 6624293234? False Is 9 a factor of 81675819? True Is 945177215 a multiple of 1093? True Does 15 divide 34568535? True Does 5 divide 9036655? True Is 6 a factor of 5548083? False Is 1249 a factor of 1917349332? False Does 27 divide 45077958? True Is 583907105 a multiple of 43? True Is 2756697456 a multiple of 24? True Is 742 a factor of 2655401913? False Does 10 divide 1217120820? True Is 140071050 a multiple of 2018? False Is 677 a factor of 603839517? False Does 8 divide 1039231552? True Is 121 a factor of 163401699? False Is 746 a factor of 11957393? False Does 12 divide 143102580? True Is 47747914 a multiple of 1402? True Is 71 a factor of 78968827? True Is 165 a factor of 95289181? False Is 94066479 a multiple of 86? False Is 32026857 a multiple of 8? False Is 307 a factor of 59882075? False Does 45 divide 13872572? False Is 7634 a factor of 686234894? False Is 22140683 a multiple of 8? False Is 74851980 a multiple of 1860? True Does 45 divide 59339025? True Is 57 a factor of 741250633? False Does 624 divide 158326272? True Is 2242134900 a multiple of 1030? True Is 209 a factor of 289831795? True Is 14052760 a multiple of 88? False Does 9 divide 104215231? False Does 1280 divide 1066369061? False Is 293755709 a multiple of 23? False Is 546581416 a multiple of 2160? False Is 10948184 a multiple of 398? True Is 21 a factor of 13502811? True Is 64821392 a multiple of 16? True Does 130 divide 373783986? False Is 68056805 a multiple of 73? True Does 16 divide 939975264? True Does 13 divide 15597002? False Does 5 divide 55262006? False Is 25713376 a multiple of 32? True Does 19 divide 1569871138? False Is 78136925 a multiple of 395? True Is 5841360 a multiple of 112? True Does 1370 divide 60848759? False Is 6366800 a multiple of 25? True Is 1013357904 a multiple of 116? True Is 464349182 a multiple of 5093? True Is 80531205 a multiple of 895? True Is 426 a factor of 1321795613? False Does 13 divide 39954940? False Is 2337888624 a multiple of 8? True Does 184 divide 7286400? True Is 2330548048 a multiple of 59? False Is 159 a factor of 152254584? True Is 639063 a multiple of 3? True Is 6 a factor of 12289782? True Is 30709697 a multiple of 74? False Does 923 divide 384868590? False Is 128 a factor of 78963328? True Is 43 a factor of 57889840? False Is 2546980490 a multiple of 60? False Does 214 divide 13601840? True Is 493252494 a multiple of 50? False Does 1657 divide 155772913? True Is 78409995 a multiple of 9? False Does 342 divide 16994133? False Is 696112865 a multiple of 428? False Does 1590 divide 49065810? True Is 789361881 a multiple of 48? False Is 68194345 a multiple of 112? False Does 2007 divide 191136645? True Is 388 a factor of 7963165? False Is 2960 a factor of 33697847? False Is 12686015 a multiple of 19? True Is 462676393 a multiple of 1186? False Does 223 divide 17319101? False Is 45 a factor of 9234450? True Is 41759149 a multiple of 8? False Is 22681772 a multiple of 46? True Is 74836921 a multiple of 898? False Does 1355 divide 30830315? True Does 512 divide 1017454552? False Is 27 a factor of 1310695911? True Does 108 divide 112310156? False Is 13 a factor of 35198748? True Does 57 divide 68796321? True Is 6294352 a multiple of 177? False Is 2339280471 a multiple of 5533? True Is 21608884 a multiple of 44? True Is 77684914 a multiple of 41? True Is 2511723541 a multiple of 13? False Is 368 a factor of 10540796? False Is 81 a factor of 171036842? False Is 553370919 even? False Is 7898386 a multiple of 84? False Does 51 divide 69537249? False Does 73 divide 119763581? True Does 58 divide 215969193? False Does 5138 divide 320261127? False Is 3073 a factor of 1538234702? False Does 503 divide 3205753804? True Is 1201784642 a multiple of 30? False Is 11 a factor of 36571260? True Does 2534 divide 944117237? False Does 18 divide 358791444? True Is 135357306 a multiple of 16? False Is 26846516 a multiple of 757? False Is 7 a factor of 278855962? True Is 2346 a factor of 72977022? True Does 268 divide 16662096? True Is 26098770 a multiple of 4997? False Does 220 divide 175084360? True Is 20158906 a multiple of 289? True Does 21 divide 13480624? False Does 15 divide 189474722? False Is 3685620 a multiple of 2014? True Is 33855411 a multiple of 77? False Does 9 divide 1139476954? False Is 856179384 a multiple of 164? True Is 467 a factor of 288322998? True Is 218 a factor of 61478180? True Is 435308947 a multiple of 2375? False Does 51 divide 1819189? False Doe
{ "pile_set_name": "DM Mathematics" }
8142*v in the form q + m*v**2 + z*v + y*v**3 and give q. 0 Express 508 - 627*z - 508 in the form a + h*z and give h. -627 Rearrange -5*a + 5*a + 22*a**2 + (4 - 4 + 2*a**2)*(-5 + 0 + 4) - a**2 - 5 - 6 + 5 + (a - 3*a - a)*(a - a + a) to h*a + m*a**2 + f and give m. 16 Rearrange (2*g - 2*g - 2*g**2)*(-19939 + 11044 + 11014) to l*g + q*g**2 + s and give q. -4238 Rearrange -135*a**3 + a - 1608 + 1608 + 32*a**3 to the form l*a**2 + k*a + t + q*a**3 and give k. 1 Rearrange (-2 + 4 - 7*w + 0)*(-47 - 33 - 50) to y*w + a and give a. -260 Rearrange 1535*d - 11 + 50 - 39 to r*d + h and give r. 1535 Rearrange 43*j + 10 - 86*j + 1 + 45*j to the form n + q*j and give n. 11 Express (7*m - 7*m + 8*m**2)*(299*m + 51 - 151*m - 149*m) in the form p + s*m**3 + v*m**2 + a*m and give s. -8 Express o**4 + 2 - 2*o**3 - 10*o - 1867*o**2 - 4 + 1867*o**2 as h*o**3 + k*o + f + p*o**4 + t*o**2 and give f. -2 Express 2 - v + 4 - 5 - 3*v**4 - 20*v**2 + 2*v in the form i*v + j*v**4 + l*v**3 + t*v**2 + f and give j. -3 Express -758 + 758 - 702*r as u*r + l and give u. -702 Rearrange -81 - 4*r - r + 3*r**2 - 9*r + 14*r to the form f*r + o + v*r**2 and give f. 0 Express 3*q**3 + 2*q + 6*q - 2*q**4 - 110*q**2 - 95*q**2 + 203*q**2 + 1 in the form a*q**4 + z*q**3 + g*q**2 + d + h*q and give h. 8 Rearrange -1 + 19*k + 9 + 3 - 7*k to the form s*k + b and give b. 11 Rearrange -18687*w**2 - 2 - w + w + 18668*w**2 - w to c*w**2 + j + m*w and give j. -2 Rearrange 3*u - 23*u**2 + 33*u**2 - 18*u**2 - 6 + 4 to d*u + f*u**2 + w and give w. -2 Express (2 - 4 + 4 - 5 + 2 + 5 - 1 + 1 + 2 + (7 - 4 - 1)*(-1 + 4 - 4) + 2 - 1 + 1)*(-10*i**2 - 12*i**2 - 2*i**2) as x + u*i + j*i**2 and give j. -144 Express -58*t - 5 - 15*t**2 + 58*t + 2 in the form u*t + r*t**2 + y and give y. -3 Express -45*k**2 - 70*k**2 - 92*k**2 as i*k + w*k**2 + v and give w. -207 Rearrange (-9*q + 3*q - 3*q)*(-6*q + 5*q + 0*q + 1) to b*q + t + o*q**2 and give o. 9 Express -961*l + 1608*l - 939*l in the form m + c*l and give c. -292 Rearrange (-1438 + 1438 - 31*c)*(-4 + 4 - 2) + (2*c - 3 + 3)*(2 + 4 - 4) + 0*c + 4*c - 5*c to the form d*c + p and give d. 65 Rearrange (-b**2 + 0*b**2 - 3*b**2)*(0*b + b + 2*b) + (-4*b**2 + b - b)*(3 + 2*b - 3) to the form v*b + a + i*b**3 + f*b**2 and give i. -20 Rearrange -3*i + 0*i + 5*i + (3 - 1 - 1)*(-512 + 253 + 254 - 26*i) to the form o*i + l and give o. -24 Rearrange -450*w**4 + 2*w + 12*w**3 - w**2 + 8*w**3 - 2 + 453*w**4 to b*w + s + i*w**4 + a*w**3 + k*w**2 and give k. -1 Express (-x + 0*x + 3*x)*(-1 + 5 - 3) + (-285 - 24*x + 285)*(-1 + 0 - 1) as a*x + j and give a. 50 Express (-64 + 393 + 160 + 51)*(4 - 28*g + 16 + 27*g) as s + m*g and give m. -540 Express (3 - 7 + v + 2*v)*(78 - 78 + 12*v)*(-2*v + 2*v + 2*v**2) as m*v**3 + u + y*v**4 + j*v + i*v**2 and give y. 72 Rearrange (2*o - o - 2*o)*(-89*o - 179*o + 93*o + (-o - 2*o + 2*o)*(2 + 0 - 5)) to h*o + t + v*o**2 and give v. 172 Express 65*c + c**2 - 6*c + 2*c**3 - 9*c**4 - c**2 - 2 - 3*c**2 + 10*c**4 as v + w*c**3 + n*c**4 + u*c**2 + h*c and give w. 2 Rearrange l**2 - 25*l**4 + 3 - 6*l**2 - 2*l**3 + 3*l**2 + 2*l**2 to the form p*l**4 + s*l + k*l**3 + y*l**2 + h and give p. -25 Rearrange (-2 + y + 2)*(3*y + 19*y + 11*y) + (-3*y + 3*y - y)*(y - 2*y + 10*y) + 5*y**2 - y**2 - 3*y**2 - 3*y + y**2 + 3*y to l*y**2 + w + v*y and give l. 26 Express -77 - 3*l**2 + 4*l**2 + 4*l + 61 in the form b*l**2 + r + g*l and give r. -16 Rearrange (-9*d**3 - 23*d**3 - 4 + 5)*(1 + d - 1)*(2 - 3 - 2) to the form m*d**4 + j*d + a + w*d**2 + q*d**3 and give j. -3 Express -205 - 193 + 16*i**3 + 408 as g*i**2 + v*i + h + w*i**3 and give w. 16 Express -1294*o + 621*o + 635*o - 2*o**4 + (-2*o**4 + o**4 + 0*o**4)*(2 + 2 - 2) in the form v*o + y*o**4 + t*o**3 + w + r*o**2 and give v. -38 Express 4 + 0 - 10 - 10 + x as h + l*x and give l. 1 Rearrange (0*y + 0*y - 2*y**3)*((-1 - 3 + 0)*(y - y - 2*y) - 58*y + 45 + 19 + 56*y) to the form g + w*y**3 + k*y + t*y**4 + f*y**2 and give f. 0 Rearrange (0 - 7 + 4)*(-3 + 38*t + 247*t - 11*t) to the form i + h*t and give i. 9 Express (-5*h - 3*h + h)*(6*h - 4*h + h + (2*h - 4*h + 0*h)*(3 - 2 + 0)) in the form s + g*h**2 + b*h and give b. 0 Express -7*i**2 - 2*i + 10*i**2 + 12*i**2 + 1 + (-i - 4*i + 4*i)*(-i - 2 + 2) as t + q*i**2 + y*i and give y. -2 Express 6*p**3 + 4*p**3 - 9*p**3 + 9*p**4 - 2*p + 4 - 6 as r*p**2 + o*p + x*p**3 + t*p**4 + i and give t. 9 Rearrange (9*n**2 - 4*n**2 - 2*n**2)*(25*n + 35 - 35)*(-2*n + 3*n - 2*n) to q*n**2 + v + m*n**4 + h*n + r*n**3 and give m. -75 Express (-2 - 3 + 4)*(-2*t**2 - 1511*t - 1484*t + 2954*t - 2) in the form o*t**2 + w + n*t and give w. 2 Express (-5*i**2 - 3*i**2 - 3*i**2 + (3 - 1 + 0)*(i - i + i**2))*(3 - i - 3) as z*i**3 + g + j*i**2 + h*i and give g. 0 Express i**4 + 4007*i**3 + 5*i**2 - 4008*i**3 + 12*i**4 + 3*i in the form a + f*i**2 + s*i**3 + r*i + q*i**4 and give s. -1 Rearrange 18*j + 5*j**2 - 56*j - 13*j**2 + 3*j to the form y*j**2 + b*j + s and give b. -35 Rearrange 2*j + 2*j - 5*j + (-1 - j + 1)*(-3 + 5 + 0) + 0 - 2*j + 0 + j - j + j + j - j - 4*j + 29*j + 3*j - 7*j to l + x*j and give x. 17 Express -10*o**2 + o**2 - 2*o**4 - 971 + 967 as s*o**2 + i*o**4 + h + c*o + d*o**3 and give h. -4 Express -18*g - 2*g**2 + 23*g - 1 + 3*g**2 - 96*g in the form d + x*g**2 + k*g and give k. -91 Express -396*a + 895*a - 410*a + 16*a**2 + (2*a - 1 + 1)*(-4*a - a + 3*a) in the form k + c*a + t*a**2 and give t. 12 Express (3*o - 4*o - 3*o)*(3201 - 6053 + 3149) as a + t*o and give t. -1188 Express -14*z - 173*z + 38*z - 44*z in the form k + d*z and give d. -193 Rearrange -53*i**3 + 1502*i**3 + 70*i**3 + (3*i**2 + 0*i**2 - 4*i**2)*(-1 + 1 + 2*i) - i + i - 2*i**3 to the form x*i**2 + b*i**3 + n*i + l and give x. 0 Express -133 + 289 - 156 - 518*d as c + j*d and give j. -518 Rearrange p + 47*p**2 - 88*p**2 + 3*p**3 + 44*p**2 to the form h*p**3 + w*p**2 + k*p + n and give h. 3 Rearrange (0*i + i - 5*i)*(-45*i - 532 + 532) to r*i**2 + u + b*i and give r. 180 Express -4*d + 8*d - 14*d**4 + 10*d**4 + 3*d**3 + 2*d + 2 in the form w + z*d**3 + i*d**4 + v*d + j*d**2 and give z. 3 Express 137*q + 70*q + 547*q + 483*q + 245*q in the form x*q + d and give x. 1482 Rearrange 193*l - 877 + 436 + 449 to the form t*l + i and give t. 193 Rearrange -1770*i - 422 + 220 + 202 to h + a*i and give a. -1770 Rearrange (3*t - 2*t - 4*t)*(510 - 228 - 216)*(2*t**2 - 2*t**3 - 2*t**2) to the form r*t**4 + f*t**3 + u + k*t + i*t**2 and give f. 0 Rearrange h - 2*h + 3 + 854*h**2 + 11 - 874*h**2 + 0*h to the form a + x*h + y*h**2 and give y. -20 Express (-12*p**4 + 25*p**4 - 16*p**4)*(11 - 8 + 3) as g + y*p**3 + z*p**2 + f*p**4 + t*p and give f. -18 Express 3*v**4 + 401*v**3 + 1 - 6*v + v**2 + 4*v - 399*v**3 in the form z*v + f*v**2 + h + i*v**3 + s*v**4 and give z. -2 Express 115*u + 3 + 308*u + 3 - 6 in the form k + h*u and give h. 423 Rearrange -2*r + r - 143 + r**4 + 2*r**3 + 2*r + 144 - 4*r**2 to m + x*r + c*r**3 + k*r**4 + y*r**2 and give c. 2 Rearrange (j**3 + 7*j**2 - 12*j**2 - 3*j**3)*(-2 - 2 + 3)*(-76 + 96 - 58) to m*j + b + p*j**2 + i*j**3 and give i. -76 Rearrange -13418*z**3 - z**2 + 25*z**2 + 13416*z**3 + 2 to p*z + m + w*z**2 + b*z**3 and give m. 2 Rearrange 4 - 3 + k + k + (4 - 5 - 1)*(3*k - 7*k + 3*k) - k + 18*k - 3*k to w*k + n and give w. 18 Rearrange (-6 + 6 + 10*s)*(0*s - 3*s + 2*s) + 14*s**2 - 28*s**2 + 15*s**2 to r*s + o + z*s**2 and give z. -9 Rearrange -116*p + 8*p - 37*p - 327*p to z*p + i and give z. -472 Express (0 + 0 - 2)*(-1 + 0 + 0)*(-3*b - 3*b + 3*b)*(63*b + 29*b + 13*b) in the form o + m*b**2 + j*b and give m. -630 Express (-d + 8*d + 3*d)*(-2*d - 3 + 3) + 4*d**2 - d**2 - 2*d**2 - 4*d**2 - 3*d**2 + 6*d**2 as o*d**2 + v + t*d and give o. -20 Express (0*n - 6*n - 3*n)*(-n**2 + 5*n**2 - n**2)*(n - 8*n + 3*n) as m*n + h*n**4 + c + g*n**2 + j*n**3 and give h. 108 Express (7 + 9 - 2*n + n**2 - 28)*(2*n + 2*n - 6*n) as a + u*n + m*n**3 + c*n**2 and give c. 4 Express 11*c + 9*c**3 - 105*c**2 + 106*c**2 - 9*c**3 + 5*c**4 + 7*c in the form i*c**2 + q + k*c + r*c**4 + x*c**3 and give k. 18 Rearrange -1848*q**2 + 60 + 1847*q**2 + 6*q**3 - 5*q**3 + 7*q**3 to h*q**3 + l + p*q + k*q**2 and give l. 60 Rearrange (-17*h**2 + 2 - 1 + 13*h**2)*(2*h - 27 + 16 - 6) to b*h**3 + d*h + l + q*h**2 and give l. -17
{ "pile_set_name": "DM Mathematics" }
). What is the units digit of m(r)? 3 Suppose -56*i + 64*i - 13472 = 0. What is the units digit of i? 4 Let c = 100 - 98. Suppose -4*g = 3*x - 280, 3*g - c*g = 4*x - 405. What is the hundreds digit of x? 1 Let j = -21 + 13. What is the units digit of j/(-44) - (-819)/33? 5 Let w(c) = 1. Let k(b) = -6*b + 2. Let x(z) = -k(z) - 4*w(z). Suppose 0 = -o - 2 + 12. What is the tens digit of x(o)? 5 Let t(r) = -4*r - 2. Suppose 0*x - 3 = 3*x. Let m be t(x). Suppose 19 = -z + m*z. What is the units digit of z? 9 Let g = 94 - 119. Let h = 12 - 19. Let j = h - g. What is the tens digit of j? 1 What is the hundreds digit of 2023 + 3 - (7 - 5)/2? 0 Let v(r) = 3*r**2 + 5*r + 0*r + 1 - 4*r**3 - 2*r - 2*r**2. Let w be v(-1). Suppose 0 = w*y - 84 - 117. What is the tens digit of y? 6 Suppose x = -0*x + 2. Suppose v - 2 = x. Suppose -3*g + 123 = -2*p, v*p - 183 = -4*g + 1. What is the units digit of g? 3 Suppose 0 = 2*o + o - 5*b - 20, 4*b = -3*o + 11. Suppose g - o*j + 27 = 0, j - 4*j + 19 = -g. Let q = 26 + g. What is the units digit of q? 9 Suppose -12*u = -17*u - 30. What is the units digit of -4 - u*(6 - 3)? 4 Suppose -147 = l - 802. What is the tens digit of l? 5 Let r be 373/4 - (-10)/(-40). Suppose -r = 2*q + q + 3*l, 132 = -4*q + 4*l. What is the tens digit of q/6*(-18)/8? 1 Let v = 1977 + 808. What is the hundreds digit of v? 7 Suppose 2*v + 231 = n, 18*n = 13*n + 2*v + 1155. What is the hundreds digit of n? 2 Suppose -5*f + 5*l = 0, -6*l = -l + 25. Let w = 42 + f. What is the units digit of w? 7 Let u(t) = t**3 + 9*t**2. Let l be u(-9). Suppose 2*o + 4*w - 2*w - 4 = l, 2*w = -4. Suppose 20 = -o*b, 4*b + 33 = j + 10. What is the units digit of j? 3 Let i(g) = -3*g - 10. Let z be i(-10). Let q be 94/18 - z/90. Suppose 32 = q*x - 13. What is the units digit of x? 9 Let n(s) = s - 3*s + 7*s + s + 2. Let l be n(2). What is the units digit of l*((-64)/(-14) - 2)? 6 Let o(t) = 17*t**3 - 5*t**2 + 14*t - 12. What is the thousands digit of o(4)? 1 Suppose 2 = 4*s - 2*x - 828, -410 = -2*s + 2*x. Let v be s/(-27) - (-8)/(-36). What is the units digit of 52/8*v/(-4)? 3 Suppose 4*r + 222 = 5*m, m + r = -r + 50. Suppose 5 = o - m. What is the units digit of o? 1 Let p = -281 + 350. What is the units digit of p? 9 Suppose -r + 508 = -5*m + 6*m, -2*r + 508 = m. What is the units digit of m? 8 Let o(n) = 2*n + 51. Let l be o(0). Suppose 0 = 46*q - l*q + 345. What is the tens digit of q? 6 Let t be (102/8)/(9/(-72)). Let v = -73 - t. What is the tens digit of v? 2 Let j be (-3)/(0 + (0 - 1)). Suppose 2*v = j*g - 20, v = 5*g + 5*v - 4. Suppose -g*p = 4*a - 20 - 28, p - 4 = a. What is the units digit of p? 8 Let h be (-58)/8 + 13/52. Let l = 22 + h. What is the units digit of l? 5 Suppose 0 = -3*s - 2*s - 25, s - 10 = -5*o. Suppose 4*i + o*f - 205 = 2*i, -4*i + 2*f = -434. Let k = i + -58. What is the tens digit of k? 4 Suppose -5*b = 3*z - 960, -3*z = 3*b + 2*z - 560. What is the hundreds digit of (b/(-20))/((-9)/(-40))*-3? 1 Suppose 4*h - 26 = -10. Suppose 0 = h*v - 15*l + 10*l - 379, -3*v - 4*l + 261 = 0. What is the units digit of v? 1 Suppose -26 = -3*z - 4*i, 4*i = -4*z + 16 + 20. Let f be 84/10*z/3. Suppose -2*n + f + 14 = 0. What is the tens digit of n? 2 Let y(c) = 4*c + 59. What is the tens digit of y(0)? 5 Suppose 17*q - 17144 - 41353 = 0. What is the thousands digit of q? 3 Let o be (1692/24)/((-3)/(-4)). Suppose -o = -25*m + 23*m. What is the tens digit of m? 4 Let w = 447 - -54. What is the tens digit of w? 0 Let p(q) = q**3 - 6*q**2 + 15*q - 21. What is the units digit of p(4)? 7 Let j(i) = -4*i - 1997 - 13*i + 1994. What is the units digit of j(-6)? 9 Suppose 2*b = 3*s + 3*b - 11, 0 = -s + 3*b - 3. Suppose r + 150 = s*r. What is the tens digit of r? 7 Let b = -10 + 10. Suppose -d + 2 + 1 = b. Suppose 2*o + 2*o + 9 = d*u, 6 = 2*u + 3*o. What is the units digit of u? 3 Let o be 6/15 + 4/(-10). Suppose 2*j - 6 = o, -j = 3*a + a - 19. What is the units digit of -1 + (a + 3 - -1)? 7 Suppose -7*q - 1328 = -4*x - 11*q, q + 992 = 3*x. What is the hundreds digit of x? 3 Let p(b) = -b**3 - 2*b**2 - b - 1. Let m be p(-3). Suppose 28 = t - m. What is the tens digit of t? 3 Suppose 0 = -16*k + 30*k - 1974. What is the units digit of k? 1 Let w(a) = 12*a - 8. Let v be w(14). Suppose v = 5*s - 3*s. Suppose -2*k + 0*k = -s. What is the units digit of k? 0 Let q(a) = 46*a + 29. Let w be q(-12). Let g = -347 - w. What is the tens digit of g? 7 Let a = 36 + -22. Suppose a = 5*y - 6. Suppose y*b + 2*o - o = 106, -5*o = -3*b + 68. What is the tens digit of b? 2 Let a(g) = 13 + 12 - g - 12 + 16. What is the units digit of a(-16)? 5 Suppose -9*c + 52 + 2 = 0. Let m(l) = 2*l**3 - 7*l**2 - 3*l - 4. What is the hundreds digit of m(c)? 1 What is the tens digit of 7 - (-456 - (-18)/6)? 6 Let v be -4*(-3)/(24/26). Let z(w) = -6 + v - 1 - w + 7. What is the units digit of z(8)? 5 Let s = 22 - 16. Suppose 0 = 3*j - s - 21. What is the tens digit of (-6)/j + 118/6? 1 Let t = -253 + 655. What is the hundreds digit of t? 4 Let v be (-42)/(-147) + 1 + 766/14. Let o = 310 - v. What is the hundreds digit of o? 2 Let w be 28 + (-3)/(-2)*(-2)/3. Suppose w*u - 24*u = 315. What is the units digit of u? 5 Suppose 0 = 3*d + 3*x + 13 + 53, -d = -3*x + 18. Suppose -9*w + 6*w + 102 = 0. Let r = w + d. What is the tens digit of r? 1 Let b(t) = 5 - 3*t + 4*t**2 + 6*t + 9*t + t**2. What is the tens digit of b(-6)? 1 Let p(s) be the second derivative of 2*s**3/3 - 4*s. Let d be p(4). Suppose -d = -0*o + 4*o, 2*x = -o + 18. What is the tens digit of x? 1 Suppose 0 = a + 21 - 23. Suppose -2*n - 10 = 0, -l - 2*l + 467 = a*n. What is the units digit of l? 9 Let q(n) = -3*n - 12. Suppose -5*r - 14 = 31. What is the units digit of q(r)? 5 What is the hundreds digit of (-21)/98*-678*7? 0 Let a be (1/(-1) - 2)/(9/(-27)). Suppose -a + 522 = 9*c. What is the units digit of c? 7 Let b = 1804 + 420. What is the thousands digit of b? 2 Suppose 2*g - 9 = 1. Let m = 1272 - 1214. Suppose 3*x - m = g. What is the units digit of x? 1 Let j be (784/140)/(2/(-25)). Let y = 137 + j. What is the units digit of y? 7 Let g(z) be the first derivative of -z**4/4 - 11*z**3/3 - 9*z**2/2 + 9*z + 4. Let v be g(-10). What is the units digit of v - 7/(28/(-144))? 5 Suppose -33 + 12 = -7*h. What is the tens digit of -10*260/(-32) - h/(-4)? 8 Let d = -481 + 947. What is the hundreds digit of d? 4 Let n = -537 - -195. What is the tens digit of (-6)/9 - n/27? 1 Let z be 2*1*(-5)/10. What is the units digit of (2 + z)/((-7)/(-56))? 8 Suppose -37*a = -38*a + 649. What is the tens digit of a? 4 Let q(m) = 5*m + 89. Let h be q(-17). Suppose -h*x - 3*x + 280 = 0. What is the tens digit of x? 4 What is the units digit of (126/15)/((-2)/(-345))? 9 Suppose 3*v + 5*l - 4390 = 0, 72*v + 4393 = 75*v + 2*l. What is the units digit of v? 5 Suppose 2*u - 5*w = 11, 4*u + w - 4*w - 1 = 0. What is the units digit of ((-20)/15 + 4/u)*-12? 0 Let u = 40 - 16. Suppose 5*j - u = 2*j. What is the units digit of j? 8 What is the units digit of 19980/40*(-3 - -5)? 9 Let n be (130/15)/((-2)/3). Let z = -9 - n. Suppose 0 = 2*i - z - 14. What is the units digit of i? 9 Let x be -1 - 11/(44/(-24)). Suppose 4*w = -5*u + 38, 2*w - x*w + 18 = 2*u. Suppose -60 = -u*i + 2*i. What is the tens digit of i? 1 Suppose 6 + 10 = 4*f. Let k(a) = 15*a - 10. What is the units digit of k(f)? 0 Let i(m) = -4*m**2 - 2*m + 7. Let w(j) = -9*j**2 - 3*j + 13. Let c(y) = -7*i(y) + 3*w(y). What is the tens digit of c(5)? 4 Suppose 0 = c + 18 - 106. Suppose 5*d = -3*m + 12 + 88, 0 = -3*m + d + c. What is the units digit of m? 0 Let h(n) = 71*n + 107. What is the hundreds digit of h(8)? 6 Let x = -10 - -17. Let v(f) = -22*f**2 + 7*f**2 + 17*f + 0 + f**3 - 3*f + x. What is the units digit of v(14)? 7 Suppose 4*z = -6 + 50. Let c = z + -15. What is the tens digit of (-39)/6*(2 + c)? 1 Let l = -119 + 226. What is the hundreds digit of l? 1 Let n be 12*(-5)/(-40) + 5/2. Suppose 3*y = 4*u - 210, -2*u + 108 = n*y - 7*y. What is the units digit of u? 1 Let s be 2*21/2*1360/51. Suppose -28*q + 24*q = -s. What is the hundreds digit of q? 1 Let n(c) = -8*c + 24. Let t be n(15). What is the units digit of (-12)/t - (-79)/8? 0 Let z = 1 - -5. Let f(j) = 3*j - j**2 + 1 - 4*j - z*j + 0*j**2. What is th
{ "pile_set_name": "DM Mathematics" }
206, 46060, 66646, 90958? 118990 What is the next term in 2695, 2478, 2097, 1546, 819, -90, -1187, -2478? -3969 What is the next term in -98801, -395194, -889177, -1580744, -2469889, -3556606, -4840889? -6322732 What is the next term in -9015865, -9015854, -9015837, -9015814? -9015785 What comes next: -20354146, -40708291, -61062436, -81416581, -101770726, -122124871? -142479016 What is the next term in -45224, -180389, -405656, -721019, -1126472, -1622009, -2207624? -2883311 What is the next term in 31836, 32769, 33694, 34605, 35496? 36361 What is the next term in -6771886, -13543766, -20315646, -27087526, -33859406? -40631286 What is next in -275455, -1101837, -2479141, -4407367, -6886515, -9916585? -13497577 What is the next term in -2541527, -10166143, -22873839, -40664615? -63538471 What is the next term in 3324, 16512, 38474, 69210, 108720? 157004 What is next in 132866, 264351, 395836, 527321? 658806 What is next in -2943, -11929, -26873, -47769, -74611, -107393, -146109? -190753 What is the next term in -422002, -844025, -1266048, -1688071, -2110094, -2532117? -2954140 What comes next: -1249326, -1249358, -1249376, -1249374, -1249346, -1249286, -1249188, -1249046? -1248854 What comes next: -63111737, -63111738, -63111739, -63111740, -63111741? -63111742 What comes next: -30053, -120234, -270543, -480986, -751569, -1082298, -1473179, -1924218? -2435421 What comes next: -61662, -61631, -61600, -61569, -61538, -61507? -61476 What comes next: -992, -1026, -1098, -1214, -1380, -1602, -1886? -2238 What is the next term in 5035334, 10070680, 15106026, 20141372? 25176718 What is next in 3296, 5772, 8248, 10724, 13200? 15676 What comes next: -159, -473, -1385, -3195, -6203, -10709? -17013 What comes next: 83626, 83363, 83100, 82837, 82574, 82311? 82048 What is next in 20889, 21028, 21167, 21306, 21445, 21584? 21723 What is the next term in 1232612, 2465201, 3697792, 4930385, 6162980, 7395577? 8628176 What is the next term in 28589, 114848, 258777, 460382, 719669, 1036644? 1411313 What is next in 740, 2080, 2750, 1472, -3032, -12040, -26830, -48680? -78868 What is next in 7836881, 7836878, 7836875, 7836872? 7836869 What is next in 3359, 16383, 38079, 68447, 107487, 155199, 211583? 276639 What is the next term in 58521, 116655, 174789, 232923, 291057? 349191 What comes next: -1037529, -2075049, -3112569, -4150089, -5187609? -6225129 What is the next term in 3752, 15120, 34064, 60554, 94560, 136052, 185000, 241374? 305144 What comes next: 13548, 8205, -6302, -34557, -81144, -150647, -247650, -376737? -542492 What comes next: -13307, -26539, -39717, -52841, -65911, -78927? -91889 What comes next: 53827, 107573, 161293, 214975, 268607, 322177, 375673, 429083? 482395 What is next in 56974, 227538, 511696, 909454, 1420818? 2045794 What is next in -1601872, -1601850, -1601812, -1601758, -1601688? -1601602 What comes next: 1567922, 3135833, 4703744, 6271655, 7839566? 9407477 What is the next term in 3460191, 6920381, 10380571, 13840761? 17300951 What is the next term in -250, 1982, 5694, 10886, 17558? 25710 What comes next: -3070, -11987, -26750, -47359? -73814 What is next in -917300, -7338363, -24766952, -58706831, -114661764, -198135515, -314631848, -469654527? -668707316 What is the next term in 28932428, 57864874, 86797320, 115729766, 144662212, 173594658? 202527104 What comes next: 25872, 35096, 44318, 53538, 62756, 71972, 81186? 90398 What is the next term in -56101620, -56101619, -56101626, -56101647, -56101688, -56101755, -56101854, -56101991? -56102172 What is next in 27425, 55617, 83805, 111989? 140169 What comes next: 215, -1172, -5139, -12976, -25973? -45420 What comes next: 13306, 26248, 39188, 52126, 65062, 77996, 90928? 103858 What is next in -661, -1660, -2711, -3814, -4969, -6176, -7435? -8746 What comes next: 43134, 172588, 388364, 690462? 1078882 What is next in 4155957, 8311925, 12467893? 16623861 What is next in 3201536, 12805094, 28811016, 51219296, 80029928, 115242906? 156858224 What comes next: 7110, 28455, 64020, 113805, 177810? 256035 What is the next term in -386799843, -773599680, -1160399515, -1547199348, -1933999179? -2320799008 What is the next term in 75700, 74165, 71588, 67963, 63284, 57545? 50740 What is next in 112100527, 112100524, 112100521, 112100518, 112100515? 112100512 What is next in 2141, 7605, 14895, 22511, 28953, 32721, 32315? 26235 What comes next: 82093, 328553, 739323, 1314409, 2053817? 2957553 What comes next: 43501, 44880, 47179, 50398, 54537? 59596 What is the next term in -7083, -17567, -46011, -101391, -192683, -328863, -518907, -771791? -1096491 What is the next term in -1881, -2974, -4801, -7362? -10657 What is next in 140342, 140419, 140496, 140573? 140650 What comes next: -234, -690, -1456, -2538, -3942? -5674 What is the next term in 222156, 222165, 222178, 222195, 222216? 222241 What is the next term in 143414, 286397, 429380, 572363? 715346 What is the next term in -160492, -160491, -160504, -160531, -160572, -160627, -160696? -160779 What is the next term in -278, -378, -578, -878, -1278, -1778? -2378 What is the next term in 2419, 4531, 6643, 8755, 10867, 12979? 15091 What is next in -4551, -9339, -14657, -20769, -27939, -36431, -46509? -58437 What is the next term in 1463, 5959, 13591, 24473, 38719, 56443, 77759, 102781? 131623 What is next in 9414, 15352, 25242, 39078, 56854, 78564? 104202 What is the next term in -118, -602, -2000, -4768, -9362? -16238 What is the next term in 2701, 2902, 3103, 3304? 3505 What is next in -299880, -1199567, -2699064, -4798371, -7497488, -10796415? -14695152 What comes next: -79026, -633214, -2137452, -5066766, -9896182, -17100726, -27155424, -40535302? -57715386 What comes next: 3267896, 6535630, 9803364, 13071098, 16338832? 19606566 What is the next term in 817, 2194, 4435, 7540? 11509 What is next in -1899751, -1899745, -1899739? -1899733 What is next in 48459, 47050, 45641, 44232? 42823 What comes next: 580085033, 1160170065, 1740255097, 2320340129, 2900425161? 3480510193 What comes next: 17804, 35630, 53468, 71318, 89180? 107054 What is next in -372, -2789, -9374, -22209, -43376, -74957? -119034 What comes next: -5928, -8733, -11528, -14307, -17064, -19793, -22488? -25143 What comes next: 3351024, 3350902, 3350780, 3350658, 3350536? 3350414 What comes next: 7200, 6044, 4888? 3732 What comes next: -14400229, -14400222, -14400215, -14400208, -14400201, -14400194? -14400187 What is the next term in -31475, -59676, -87877, -116078, -144279? -172480 What is next in 113220, 113180, 113140, 113100, 113060, 113020? 112980 What is next in 5095553, 5095558, 5095563, 5095568? 5095573 What is the next term in -130180, -260319, -390464, -520615, -650772, -780935? -911104 What is the next term in -10663, -21489, -32325, -43177, -54051, -64953? -75889 What is the next term in -732573694, -1465147386, -2197721078, -2930294770? -3662868462 What is next in 116398, 116110, 115822, 115534? 115246 What comes next: -14206, -14971, -16246, -18031, -20326, -23131? -26446 What is the next term in 14063, 15252, 16441, 17630, 18819? 20008 What comes next: -115109, -114911, -114581, -114119, -113525? -112799 What comes next: 30769, 32241, 33721, 35209, 36705, 38209? 39721 What is next in -42034478, -42034477, -42034476? -42034475 What comes next: -37911, -36387, -33839, -30261, -25647? -19991 What is the next term in -107314592, -214629177, -321943760, -429258341, -536572920, -643887497, -751202072? -858516645 What is the next term in 1259, 11586, 40059, 95756, 187755? 325134 What comes next: 1555, 1380, 1205, 1030, 855? 680 What is the next term in 74872, 74963, 75106, 75295, 75524? 75787 What is next in -4931321, -19725312, -44381963, -78901274, -123283245, -177527876? -241635167 What comes next: -1138753, -1138744, -1138735, -1138726? -1138717 What is the next term in -11122978, -11122975, -11122970, -11122963, -11122954? -11122943 What is the next term in -811613, -1623123, -2434521, -3245807, -4056981? -4868043 What is the next term in 1087503058, 1087503055, 1087503050, 1087503043, 1087503034? 1087503023 What is the next term in 321985, 1287014, 2895401, 5147152, 8042273, 11580770, 15762649? 20587916 What comes next: 1365, 1184, 1005, 828, 653? 480 What comes next: 109
{ "pile_set_name": "DM Mathematics" }
593. What is the greatest common divisor of 6 and k? 6 Let p(z) = -2*z + 25. Let v be p(-4). Let q = v - 28. Suppose -2*w + 4*y - 1 = -q*w, 13 = -w - 4*y. What is the highest common divisor of w and 1? 1 Let w be (18 - (-2 - 4))/(6/(-2648)). Let c = -5540 - w. Let m be c/42 - (2 - (-36)/(-21)). What is the greatest common factor of m and 24? 24 Let m(j) = -j**3 - 12*j**2 - 31*j - 27. Let z be m(-12). What is the highest common divisor of z and 495? 15 Let f(p) = p**2 + 10*p + 13. Let c be f(-3). Let v be 44/c + 6 - 35/(-2). Suppose k = v - 11. What is the highest common divisor of k and 7? 7 Let m be (-29)/(-145) + (-412)/10. Let w = 44 + m. What is the greatest common factor of 39 and w? 3 Let i(g) = 60*g - 4104. Let q be i(69). Suppose -2*l + 0*l + 4*h + 222 = 0, 9 = 3*h. What is the highest common divisor of q and l? 9 Suppose 2*a = -5*p + 40 - 6, a = p - 11. Suppose 0 = -p*c + 86 + 74. Calculate the greatest common divisor of 50 and c. 10 Let v = -43 - -43. Suppose v = 4*k + 11 - 3. Let s be ((-11)/2)/(k/20). What is the greatest common factor of 5 and s? 5 Let m(p) = 105*p - 17. Let c be m(-1). Let s = c - -172. Calculate the greatest common divisor of 100 and s. 50 Suppose 5*x = 4*s - 5, 2*s - 12*x = -15*x + 19. Suppose -30*t + 28*t = -p - 609, 0 = -s*t + 2*p + 1521. Calculate the greatest common factor of t and 101. 101 Let b(l) = 9*l**2 - 134*l - 307. Let c be b(35). Calculate the highest common divisor of c and 44. 44 Suppose 5*o + l = 916, o - 2*l = -l + 188. Calculate the highest common factor of o and 1863. 23 Let q(i) = 5*i**2 - 152*i + 413. Let n be q(29). Let g(h) = 2*h**2 - 9*h - 11. Let z be g(8). Calculate the greatest common factor of z and n. 15 Let g be ((-102)/(-12) - 2/(-4)) + 12 + -14. Calculate the highest common factor of 6146 and g. 7 Let q(r) = -r**2 - 251*r - 5337. Let y be q(-26). What is the highest common factor of 81 and y? 27 Suppose 0 = -f - 75 + 82. Suppose 37 = c - f. What is the highest common divisor of 44 and c? 44 Let l(y) = -y**3 - 8*y**2 + 22*y + 27. Let x be l(-10). Suppose -x*z + 945 = 8*z. What is the greatest common divisor of 105 and z? 21 Suppose -13 = -3*p + 26. Suppose p*d = 14*d - 8. What is the greatest common factor of d and 8? 8 Suppose n = 2*n - 100. Suppose 0 = -7*w - 17*w + 1440. Calculate the greatest common factor of n and w. 20 Suppose -n = 2*n - 1134. Suppose -7*w = -4*w + 3*x - 243, x = -4*w + 333. What is the highest common divisor of n and w? 42 Let m be 2/3 - (3152/(-6) - 1). Let a = -366 + m. Calculate the highest common factor of 23 and a. 23 Suppose -4*y + 4 = p, -4*p - 10 = -5*p + 2*y. Let l be -1 - (-8 - (p + 357)). What is the highest common factor of 31 and l? 31 Suppose -5*j - 3*v = -40058 - 11200, 0 = -3*v + 18. What is the highest common factor of 6 and j? 6 Suppose 0 = 19*v + 13338 - 3002. Let t = -512 - v. Calculate the greatest common divisor of 52 and t. 4 Suppose 2*z + 8*z = -2*z. Suppose 38 = 2*h + 4*j + j, z = 5*h - 4*j - 62. What is the highest common factor of 126 and h? 14 Let i be -4*(14/(-4) - -1). Let c(k) = k**3 + 8*k**2 + 4*k + 12. Let d be c(-8). Let g be 14/4 - 10/d. Calculate the greatest common factor of i and g. 2 Suppose -3*a - 12 = 0, -a + 126 = -4*w - 6. Let k = w - -139. Calculate the highest common divisor of k and 30. 15 Let z be 15*1/((-120)/126 - -1). Let r = z - 283. Let y be (-100)/(-6) - 2/3. What is the greatest common divisor of y and r? 16 Suppose 3*y + 30 = 6*y. Suppose 54*r - 17*r = 0. Suppose 2*m + 14*m - 160 = r. Calculate the highest common factor of y and m. 10 Suppose -11*m = -12*m - 32. Let u = -26 - -82. Let t = m + u. What is the highest common factor of t and 120? 24 Let l(g) = -g**3 + 6*g**2 - 3*g + 21. Let m be l(6). Let t = 67 + m. Calculate the greatest common divisor of 245 and t. 35 Suppose -1032*k + 1013*k + 35416 = 0. Calculate the greatest common divisor of 104 and k. 8 Suppose 53*h + 56318 = 56371. Let c(l) = -l**3 - 2*l**2 + 2*l - 7. Let d be c(-5). Suppose d = 4*m + 18. Calculate the highest common divisor of m and h. 1 Let u = 35 + -153. Let x = u - -204. What is the highest common divisor of x and 2? 2 Suppose 5*z - 2*o + 2 = 3*z, -o = 5*z - 1. Suppose z*k + k - 24 = 0. What is the greatest common divisor of 648 and k? 24 Let o = -4030 - -4079. Calculate the greatest common divisor of 98 and o. 49 Suppose 3*k + 27 - 423 = 0. Calculate the highest common divisor of k and 957. 33 Suppose -3*u + 520 = -236. Let c be (-1 + 2)/((-7)/784*-4). Calculate the highest common factor of c and u. 28 Let b = -129 - -201. What is the greatest common factor of 376 and b? 8 Let c be 17082/(-12)*2/(-3). Let n be (-10)/(-8)*(-1464)/(-305) - -7. Calculate the greatest common divisor of c and n. 13 Let c(w) = 7*w**2 + 31*w + 142. Let n be c(-4). Calculate the greatest common factor of 416 and n. 26 Suppose 141*k + 53218 = 259*k. What is the greatest common divisor of 410 and k? 41 Let y(p) = 91*p**2 - 113*p - 216. Let d be y(-2). What is the highest common factor of d and 264? 22 Suppose 16*t = 37*t. Suppose 2*a + 323 - 339 = t. Calculate the greatest common divisor of a and 2. 2 Let x = -84 - -56. Suppose 3*h - 65 = 49. Let l = h + x. What is the greatest common factor of l and 70? 10 Suppose -255781 = -309*l + 102745 - 82898. What is the highest common factor of l and 8? 4 Let z(w) = 7*w - 146. Suppose 4*r + 2*t - 80 = 0, 56 = 2*r - 4*t + t. Let j be z(r). Calculate the greatest common factor of 232 and j. 8 Suppose -13*y - 43*y + 4480 = 0. Suppose -4*i - i = -t - 120, -y = -4*i + 4*t. What is the highest common divisor of 5 and i? 5 Suppose 40*o + 3194 = -5*s + 39*o, o = 5*s + 3186. Let k = s + 682. Calculate the greatest common factor of 77 and k. 11 Let b be (6 + -1)*22/(-275)*-1390. Calculate the greatest common factor of 1 and b. 1 Let y be (10/3)/(22/(-24)*(-146)/803). Let i(o) = o**3 + 9*o**2 + 4*o + 8. Let l = 11 - 19. Let p be i(l). What is the greatest common divisor of p and y? 20 Let r = -7833 - -7854. What is the highest common divisor of r and 213? 3 Suppose -l + 1199 = 5*r, -2580*r = -2577*r + 3*l - 717. What is the greatest common factor of 20560 and r? 80 Let r be (-2 + 22 - -3) + 2. Suppose -2*q = 3*q - r. Suppose -3*y - 5*b - 5 = 2, q*b = 5*y - 55. Calculate the highest common factor of 2 and y. 2 Let m be -2*(-10 + 0/(-1)). Let s = 933 - 1074. Let p = 341 + s. What is the highest common divisor of m and p? 20 Let w be 325 - (16 + -13 + (1 - 3)). Suppose n + w = 10*n. Suppose d + 408 = 2*d + 4*x, -2*x = -4*d + 1578. What is the highest common factor of d and n? 36 Let w = -41 - -93. Let g = -870 - -873. Suppose 0 = 13*q - g*q - 780. Calculate the greatest common divisor of w and q. 26 Let g = -376 + 798. Let z = 437 - g. Let v be 45/(-6)*1*-22. What is the greatest common divisor of v and z? 15 Let l be (26040/1519)/((-15)/(-42)). Suppose 5*y - 26 - 214 = 0. What is the greatest common factor of l and y? 48 Let h be ((-138)/(-30) + -5)*-5*1. Suppose 4*t + 162 = 2*k, 5*k - 135 = -h*t + 246. Calculate the greatest common divisor of 11 and k. 11 Let j be -8 - (12754/(-7) - 11). What is the greatest common divisor of 146 and j? 73 Let r be 78/52*(53/3 + -1). Let g = -273 - -448. What is the greatest common factor of r and g? 25 Suppose 0 = -3*y - 4*m + 334, -10*y + 302 = -7*y - 4*m. Let j = y + -91. What is the highest common divisor of j and 40? 5 Suppose -l + 144 = 2*l. Suppose 0 = 4*p + 24 + l. Let k(n) = -n**2 - 18*n + 10. Let r be k(p). Calculate the highest common factor of 10 and r. 10 Let k be 8 + -13 + 1 + 7. Let o(p) = p**2 - 4*p - 10. Let u be o(8). Let y = u - -17. What is the greatest common divisor of k and y? 3 Suppose 8632 = -6*o + 47*o - 18633. Calculate the greatest common divisor of 570 and o. 95 Suppose 85 - 13 = 4*t. Suppose -92 = -2*r + 8*z, -2*r - 4*z + 26 = -z. Calculate the greatest common factor of r and t. 2 Let d = 42 + -10. Suppose m = 6*m - 4320. What is the greatest common factor of d and m? 32 Let c be 6/(-3)*((-489)/6 - -8). Calculate the greatest common divisor of c and 378. 21 Suppose -f + 3*z = -9, -9*z = -4*f - 8*z + 80. Let m = 12 + -6. Calculate the highest common divisor of f and m. 3 Let q = -2888 + 2937. What is the highest common divisor of q and 63? 7 Suppose 0 = -5*
{ "pile_set_name": "DM Mathematics" }
(-3). 7 Let w(s) = 40*s. Give w(-1). -40 Let l(i) = 8*i - 105. Determine l(12). -9 Let b(m) = -19*m + 111. Give b(12). -117 Let l(t) = -t**3 + t**2 + 2*t + 3. Calculate l(3). -9 Let g(i) = 4*i**3 + i**2 + 4*i + 2. What is g(-1)? -5 Let j(p) = 12*p + 28. Give j(-2). 4 Let y(h) = 3*h**2 - h + 4. What is y(3)? 28 Let h(x) = x**3 - x - 50. Calculate h(0). -50 Let a(u) = u - 15. Calculate a(-5). -20 Let n(q) = q**3 + 8*q**2 + 12*q + 2. What is n(-6)? 2 Let v(q) = q**2 - 4*q + 2. Determine v(6). 14 Let s(l) = -5*l**3 + 3*l**2 - 3*l + 1. Determine s(1). -4 Let r(h) = -h**2 - 20*h - 22. Calculate r(-20). -22 Let p(z) = -2*z**2 + 44*z - 194. Determine p(5). -24 Let d(p) = 3*p**2 + 7*p - 4. Give d(-6). 62 Let z(p) = 93*p - 2. Determine z(-1). -95 Let v(o) = -4*o**3 - o**2. Give v(-2). 28 Let p(h) = 6*h**2 - 2. Give p(2). 22 Let y(j) = -j**2 + 2*j - 13. Give y(0). -13 Let d(o) = 3*o**2 - 143*o + 89. Give d(47). -5 Let a(s) = -3*s**2. What is a(-1)? -3 Let x(d) = d**3 + 4*d**2 + 3*d + 7. Calculate x(-4). -5 Let h(g) = 2*g + 8. Give h(0). 8 Let y(x) = 15*x + 116. Determine y(-8). -4 Let r(b) = -14*b - 102. Give r(-7). -4 Let a(x) = x**3 + 4*x**2 + 6*x - 1. Give a(-5). -56 Let t(d) = 7*d**2. Give t(-1). 7 Let g(k) = -5*k - 165. Determine g(-28). -25 Let q(u) = -u**2 - 11*u - 23. Give q(-9). -5 Let u(m) = 10*m - 5. What is u(2)? 15 Let x(t) = 2*t**2 - 21*t + 9. Determine x(10). -1 Let v(d) = 8*d + 93. Calculate v(-13). -11 Let g(a) = -8*a - 78. Give g(-10). 2 Let a(j) = -j**2 + 13*j - 9. Determine a(6). 33 Let y(s) = 11*s**3 - 4*s**2 - s + 3. What is y(-2)? -99 Let u(j) = -j**3 + 13*j**2 + 12*j + 18. Determine u(14). -10 Let v(n) = -17*n**2 - 2*n + 1. Determine v(1). -18 Let b(v) = 5*v + 145. Calculate b(-29). 0 Let y(l) = l**3 + 12*l**2 - 14*l. What is y(-13)? 13 Let b(w) = -2*w**2 + 5*w + 18. Determine b(5). -7 Let f(l) = 2*l**2 - 7*l + 6. What is f(0)? 6 Let m(t) = t**3 - 16*t**2 - 14*t - 31. What is m(17)? 20 Let s(g) = g**2 - 6*g + 2. Calculate s(9). 29 Let n(u) = -u + 7. Determine n(9). -2 Let y(s) = 2*s + 33. What is y(-15)? 3 Let o(q) = -q**3 + 7*q**2 - 4*q - 3. Give o(6). 9 Let q(j) = 16*j + 163. Determine q(-11). -13 Let y(c) = 15*c + 15. Calculate y(-1). 0 Let y(l) = 24*l - 7. Give y(3). 65 Let w(q) = q**3 - q**2 + 1. Determine w(-1). -1 Let c(b) = 4*b + 2. What is c(-3)? -10 Let n(v) = v**3 + 4*v**2 + 3*v + 7. Determine n(-3). 7 Let m(w) = w + 16. Determine m(-29). -13 Let g(q) = 5*q + 5. Determine g(-2). -5 Let b(u) = -42*u - 248. What is b(-6)? 4 Let v(h) = -4*h**3 - 3*h**2 - 2*h + 1. Determine v(-2). 25 Let m(p) = 11*p - 22. Determine m(2). 0 Let q(a) = 16*a + 33. Determine q(-2). 1 Let x(i) = i**2 - 5*i - 9. Determine x(7). 5 Let x(i) = i**3 + 13*i**2 - 48*i - 27. Give x(-16). -27 Let y(t) = 18*t + 34. Give y(-2). -2 Let l(c) = c**3 + 10*c**2 - c - 12. What is l(-10)? -2 Let s(j) = -6*j**2 + j - 1. What is s(-2)? -27 Let h(r) = 17*r + 17. What is h(-5)? -68 Let z(y) = y**3 - 4*y**2 - y - 8. Give z(4). -12 Let w(h) = -3*h**2 + 2*h - 10. Determine w(3). -31 Let v(z) = -z**2 - 6*z + 5. Give v(-7). -2 Let x(t) = t + 28. Determine x(-17). 11 Let o(s) = -s**2 - 10*s - 10. Determine o(-10). -10 Let o(s) = 3*s - 13. Calculate o(6). 5 Let s(p) = -p**3 + p**2 - 6*p + 14. Calculate s(2). -2 Let l(p) = -9*p**2 - 2*p - 1. Give l(-1). -8 Let h(p) = p**3 - 8*p**2 + 11*p + 11. Give h(6). 5 Let y(g) = 2*g + 3. Give y(7). 17 Let o(l) = -l - 2. Determine o(-5). 3 Let m(l) = 17*l - 72. What is m(7)? 47 Let w(n) = -5*n - 10. Determine w(-1). -5 Let p(k) = -k**3 - 7*k**2 + 5. Determine p(-5). -45 Let m(c) = 38*c + 107. Determine m(-3). -7 Let f(v) = 3*v**2 - v - 4. What is f(3)? 20 Let j(q) = -39*q. Give j(-1). 39 Let j(q) = q + 5. What is j(-9)? -4 Let c(s) = -48*s + 187. Calculate c(4). -5 Let t(l) = l**3 + 10*l**2 + 26. Calculate t(-9). 107 Let u(y) = 17*y**3 - y**2 - 2*y + 2. Calculate u(1). 16 Let y(w) = -w**2 + 3*w + 46. Determine y(7). 18 Let w(u) = -4*u**2 + 162*u + 82. Determine w(41). 0 Let u(f) = -f**2 + 8*f + 60. Calculate u(-5). -5 Let s(k) = -3*k + 5. Calculate s(6). -13 Let u(a) = -a**2 + 16*a + 261. Determine u(26). 1 Let u(l) = -l**3 - 18*l**2 - 14*l + 1. What is u(-17)? -50 Let z(t) = 2*t**2 - 10*t - 4. What is z(5)? -4 Let c(s) = -s**3 + 7*s**2 - 8*s + 1. What is c(6)? -11 Let i(x) = 2*x**2 - 36*x - 90. Give i(21). 36 Let v(x) = 25*x - 79. Calculate v(3). -4 Let c(h) = 34*h - 159. What is c(5)? 11 Let i(t) = 5*t - 145. Calculate i(34). 25 Let q(x) = -11*x + 60. Give q(3). 27 Let k(z) = z**3 + 4*z**2 - 11*z + 12. Calculate k(2). 14 Let u(d) = -d**3 - 10*d**2 - 18*d + 5. What is u(-4)? -19 Let i(z) = -10*z + 172. What is i(17)? 2 Let c(k) = 4*k**2 + 29*k + 41. What is c(-2)? -1 Let u(v) = v**3 + 6*v**2 - 6*v - 9. Calculate u(-7). -16 Let n(c) = -c**2 + 10*c - 41. Calculate n(6). -17 Let l(c) = -c**2 - 13*c - 15. What is l(-12)? -3 Let t(r) = -r**2 - 6*r. Calculate t(-12). -72 Let l(u) = -5*u + 7. Determine l(3). -8 Let k(z) = -z**2 + 5*z - 5. What is k(5)? -5 Let r(m) = 3*m - 15. Give r(4). -3 Let i(w) = -4*w + 6. Determine i(4). -10 Let l(a) = -a**3 - 17*a**2 + a + 12. Determine l(-17). -5 Let w(f) = -f**3 + 7*f**2 + 9*f + 4. What is w(8)? 12 Let k(n) = 2*n + 2. Give k(-2). -2 Let u(a) = -25*a - 21. Give u(-3). 54 Let k(q) = -q**3 + 33*q**2 - 33*q - 1. What is k(32)? -33 Let m(x) = -x**3 + 13*x**2 - 25*x + 32. Determine m(11). -1 Let g(x) = 10*x**3 + 2*x**2 + 2*x + 1. Calculate g(-1). -9 Let u(o) = -o**3 + 12*o**2 - 19*o - 10. What is u(10)? 0 Let c(u) = -5*u**2 + 29*u + 12. Determine c(6). 6 Let w(s) = 2*s**2 + 15*s + 3. Give w(-7). -4 Let b(l) = -l + 8. Calculate b(6). 2 Let u(r) = -r**2 + 14*r + 1. Calculate u(10). 41 Let s(c) = -c**2 - 9*c + 22. Give s(-11). 0 Let p(d) = 4*d**2 - 3*d - 12. Determine p(-2). 10 Let k(b) = 9*b**2 - 62*b - 7. What is k(7)? 0 Let t(j) = 3*j + 16. What is t(-10)? -14 Let t(p) = 5*p**2 + 2*p. Calculate t(-2). 16 Let i(d) = -d**3 + 3*d**2 + 11*d - 5. Determine i(5). 0 Let q(h) = -h**3 - 20*h**2 - 34*h + 24. Determine q(-18). -12 Let n(y) = 3*y**3 - 2*y**2 - 4. Calculate n(2). 12 Let j(h) = h**3 - h**2 + 3*h - 7. Give j(3). 20 Let r(b) = -b**3 - 10*b**2 - 22*b - 43. Calculate r(-8). 5 Let j(i) = 9*i**2 - 1. Determine j(-2). 35 Let o(x) = x**2 - 11*x + 16. Determine o(10). 6 Let p(d) = -2*d**2 - 7*d + 15. Determine p(3). -24 Let s(n) = -n + 31. Give s(11). 20 Let a(i) = 25*i - 292. Determine a(13). 33 Let a(r) = -6*r - 8. Calculate a(-4). 16 Let b(k) = -k**2 - 10*k - 22. Determine b(-10). -22 Let c(u) = -u**2 + 6*u + 2. Determine c(6). 2 Let r(m) = -m**3 + 32*m**2 + 72*m - 138. Give r(34). -2 Let r(w) = -5*w**3 + 3*w**2 - 7*w + 7. Determine r(2). -35 Let z(m) = 2*m**2 - 6*m - 15. What is z(5)? 5 Let s(v) = -14*v + 113. Calculate s(7). 15 Let s(c) = -5*c. Give s(2). -10 Let a(v) = -v**2 + 7*v + 6. What is a(7)? 6 Let r(d) = -d**2 - 3*d + 70. Determine r(7). 0 Let z(a) = a**3 - 6*a**2 + a - 6. Calculate z(6). 0 Let u(m) = -m**3 - 4*m**2 - 5*m - 3. Calculate u(-3). 3 Let b(j) = -4*j + 77. Give b(20). -3 Let n(f) = f**2 + 3*f - 3. Give n(4). 25 Let b(q) = -q + 23. Calculate b(7). 16 Let h(o) = o**3 + 6*o**2 - 3*o - 1. Give h(-8). -105 Let j(b) = -2*b**3 + 36*b**2 - 2*b + 35. Give j(18). -1 Let n(i) = -i**2 - i + 21. Determine n(5). -9 Let o(b) = -b**3 + 4*b**2 + 6*b - 7. Give o(5). -2 Let f(s) = 5*s + 6. What is f(-7)? -29 Let k(g) = g**3 + 12*g**2 - 14*g + 10. Calculate k(-13). 23 Let m(r) = -r**2 + 22*r + 43. Calculate m(24). -5 Let l(r) = 17*r - 70. Calculate l(6). 32 Let b(y) = -15*y - 13. Calculate b(2). -43 Let b(j) = 4*j - 58. What is b(18)? 14 Let n(m) = m - 27. What is n(-12)? -39 Let z(g) = g - 24. Determine z(23). -1 Let m(k) = -k**2 - 5*k + 22. What is m(-7)? 8 Let k(l) = -l - 3. Give k(2). -5 Let z(x) = -2*x**2 - 13*x - 11. Give z(-4). 9 Let n(k) = 2*k**2 + k + 2. What is n(3)? 23 Let u(h) = 165*h + 167. Calculate u(-1). 2 Let o(n) = 2*n + 118. Give o(-54). 10 Let d(f) = 3*f**3 - 10*f**2 - 3*f - 3. What is d(5)? 107 Let a(g) = -2*g**2 - 19*g - 24. What is a(-8)? 0 Let k(r) = r**3 + 5*r**2 - 3*r + 4. Give k(-6). -14 Let t(j) = 2*j**2 + 73*j - 38. What is t(-37)? -1 Let x(j) = j**3 - 24*j**2 - 25*j + 35. Determine x(25). 35 Let t(b) = b**3 + 8*b**2 - 9*b - 9. Give t(-9). -9 Let x(b) = b**3 + 3*b**2 + 3*b +
{ "pile_set_name": "DM Mathematics" }
63 in descending order. 2/3, 2/9, 0.0163, -0.2, -3 Put 0, -6, 143, -2/3, -0.4 in decreasing order. 143, 0, -0.4, -2/3, -6 Sort -95, -16, 2, 3. -95, -16, 2, 3 Put 30, -1/28, -2 in descending order. 30, -1/28, -2 Sort 720, -3, 0, 4 in increasing order. -3, 0, 4, 720 Put -5, -3, 0, -21, 2 in ascending order. -21, -5, -3, 0, 2 Sort 205, 5, -2, 0, 26 in descending order. 205, 26, 5, 0, -2 Sort 2/401, -1/6, -2.44 in ascending order. -2.44, -1/6, 2/401 Sort 1101, 2/11, -7, -4. -7, -4, 2/11, 1101 Sort -41, 3, -0.1, -1.9, -16, 0 in descending order. 3, 0, -0.1, -1.9, -16, -41 Put 4, 1, -4, 3, -154, -1 in ascending order. -154, -4, -1, 1, 3, 4 Sort -56, 1, 467. -56, 1, 467 Sort 67, -50805, 3 in ascending order. -50805, 3, 67 Put 2/11, 4, 47, 2.2, -1 in decreasing order. 47, 4, 2.2, 2/11, -1 Sort -1, -1282, 2784 in increasing order. -1282, -1, 2784 Put -1192, -4, 15, 2 in increasing order. -1192, -4, 2, 15 Sort 0.5, 4, 190/2711 in ascending order. 190/2711, 0.5, 4 Put 324, 2, 247 in descending order. 324, 247, 2 Put -10, 43, 4, 7 in descending order. 43, 7, 4, -10 Sort 1.8, -1.2, -0.4, -1/4, 1212. -1.2, -0.4, -1/4, 1.8, 1212 Put 4, 48, 10, 63/13 in decreasing order. 48, 10, 63/13, 4 Put 2/5, -0.15, -97, 0.04 in decreasing order. 2/5, 0.04, -0.15, -97 Sort -154, -165, -33 in decreasing order. -33, -154, -165 Sort -4/27, 2/1395, -5, 1/2, 0 in descending order. 1/2, 2/1395, 0, -4/27, -5 Put -9, -4, -7448 in descending order. -4, -9, -7448 Put -5, 104, 0, -2, -4, 12 in increasing order. -5, -4, -2, 0, 12, 104 Put 5, -341, 14 in increasing order. -341, 5, 14 Put -2, -12, 13, 90, 5 in descending order. 90, 13, 5, -2, -12 Sort 5, 12, 61, -14. -14, 5, 12, 61 Put 5, -169, -91 in decreasing order. 5, -91, -169 Put -236, 0.15, 2/11, 3/4 in descending order. 3/4, 2/11, 0.15, -236 Sort -2, 2, 1030, 1, -19, -3. -19, -3, -2, 1, 2, 1030 Sort 0.1, 12/47, -67 in ascending order. -67, 0.1, 12/47 Put -55, -4, 26, 5 in increasing order. -55, -4, 5, 26 Put -5, -2, -5763, -4 in descending order. -2, -4, -5, -5763 Put -0.3, -13, 47, -28 in increasing order. -28, -13, -0.3, 47 Sort -11, -2, 0, 2185, -5. -11, -5, -2, 0, 2185 Put 8, -2, 4, 1, -3, 1270 in increasing order. -3, -2, 1, 4, 8, 1270 Put 25, 582, -2/3 in ascending order. -2/3, 25, 582 Put -2/7, -0.12, -9, 4, 1.9 in increasing order. -9, -2/7, -0.12, 1.9, 4 Sort 37, -2, 3, -13, 1 in decreasing order. 37, 3, 1, -2, -13 Sort -73095, 9, 2 in decreasing order. 9, 2, -73095 Put 49, -110, 0, -4 in increasing order. -110, -4, 0, 49 Sort -349, -6/7, 1.1 in decreasing order. 1.1, -6/7, -349 Put 6, -19, 5, -6 in decreasing order. 6, 5, -6, -19 Sort 27, 4, -1, 1475 in ascending order. -1, 4, 27, 1475 Sort 0.3, -29, -0.2, -1, 78, 3. -29, -1, -0.2, 0.3, 3, 78 Put -7, -1, 0, 221, 5, 4 in increasing order. -7, -1, 0, 4, 5, 221 Put 11, 2731, 2 in ascending order. 2, 11, 2731 Sort -5, -4, 1, 3, 2422 in descending order. 2422, 3, 1, -4, -5 Put 0, -2, -135561 in increasing order. -135561, -2, 0 Put 25, 115, 1, -3, -9, 4 in ascending order. -9, -3, 1, 4, 25, 115 Sort -5, -0.18, 0.4, 0, -0.4, -1 in ascending order. -5, -1, -0.4, -0.18, 0, 0.4 Sort 4, 3, -21, -9. -21, -9, 3, 4 Sort -0.77666, -2/5, 2/3 in increasing order. -0.77666, -2/5, 2/3 Sort 5, -1, 4, -44, 11, -10. -44, -10, -1, 4, 5, 11 Sort 0, -4, -2/7, -0.5, -0.051, 1.2. -4, -0.5, -2/7, -0.051, 0, 1.2 Put -2, 2126, 75 in increasing order. -2, 75, 2126 Sort 1/2, 0.039, -4, 2/5, 1.8 in descending order. 1.8, 1/2, 2/5, 0.039, -4 Sort -4/3, -0.0047, -3/7 in descending order. -0.0047, -3/7, -4/3 Sort -104, 4, -19, 1 in decreasing order. 4, 1, -19, -104 Put 1, 0, -17257 in increasing order. -17257, 0, 1 Put -2/7, 0.2, -9306 in descending order. 0.2, -2/7, -9306 Put 297, 2/7, -0.046 in increasing order. -0.046, 2/7, 297 Sort -5, 20106, 6 in increasing order. -5, 6, 20106 Sort 4, 4/5, 8, 2, 3 in descending order. 8, 4, 3, 2, 4/5 Sort -1, -2, -91, -4, 4. -91, -4, -2, -1, 4 Sort 9, 3, -4, -39, 4 in descending order. 9, 4, 3, -4, -39 Sort 2/11, 31, -78, -3/8. -78, -3/8, 2/11, 31 Put 2, -5, 103, 18 in ascending order. -5, 2, 18, 103 Sort -58, 54, -13 in decreasing order. 54, -13, -58 Sort -10, -26, -0.05, 8 in ascending order. -26, -10, -0.05, 8 Put 0.5, 123, -1, -831 in descending order. 123, 0.5, -1, -831 Sort -1138, 132, -0.5 in ascending order. -1138, -0.5, 132 Put 3/2, 127, -4/15 in descending order. 127, 3/2, -4/15 Put 2660, -8, -1/115 in increasing order. -8, -1/115, 2660 Sort 0, -292, -45 in decreasing order. 0, -45, -292 Sort 30475, -4/7, 0.02. -4/7, 0.02, 30475 Sort -5727, -2, -1 in decreasing order. -1, -2, -5727 Sort 2/9, 3, 1894, -3 in increasing order. -3, 2/9, 3, 1894 Sort -0.3, -1, -4, -0.18, 0, 0.1 in decreasing order. 0.1, 0, -0.18, -0.3, -1, -4 Sort 12, -10, -24, -3, -4 in decreasing order. 12, -3, -4, -10, -24 Put 1/7, -228, 201 in increasing order. -228, 1/7, 201 Put 0.01, 5, 0.5, 2/5, -0.2, -8 in increasing order. -8, -0.2, 0.01, 2/5, 0.5, 5 Sort 60, -14, -124 in decreasing order. 60, -14, -124 Put -4, 1, 2, -7, -411 in decreasing order. 2, 1, -4, -7, -411 Sort 2, -4, 4, 3, 5, -1872 in decreasing order. 5, 4, 3, 2, -4, -1872 Sort 56, 5, 3/8, 4, 36 in decreasing order. 56, 36, 5, 4, 3/8 Put -88/9, 22, 0 in increasing order. -88/9, 0, 22 Put 1663, -2, 3 in descending order. 1663, 3, -2 Put 4, 0.03, 3, -0.4, 0.1028 in decreasing order. 4, 3, 0.1028, 0.03, -0.4 Sort -110, 5, 3, -20. -110, -20, 3, 5 Put 0.1, -0.4, 20, 0.5082, -2 in increasing order. -2, -0.4, 0.1, 0.5082, 20 Sort 5, 4, 9, 1610 in decreasing order. 1610, 9, 5, 4 Sort 42/13, 2/9, 45/11. 2/9, 42/13, 45/11 Sort -12, -1783, 1 in descending order. 1, -12, -1783 Sort -5, -68, -3, -1, -18 in increasing order. -68, -18, -5, -3, -1 Sort 1072, -7, -1 in decreasing order. 1072, -1, -7 Sort 70, 7, 176, -5 in descending order. 176, 70, 7, -5 Put -51/7, 0.5, -112 in decreasing order. 0.5, -51/7, -112 Put -4065, -0.2, 7/6, 0.4 in decreasing order. 7/6, 0.4, -0.2, -4065 Sort -73, 0.4, -6597 in ascending order. -6597, -73, 0.4 Put -2, 56, -47, 5 in increasing order. -47, -2, 5, 56 Sort 0.2, -2/3, -2/2219, -33/5 in descending order. 0.2, -2/2219, -2/3, -33/5 Put 1, -4, -5406, -8 in descending order. 1, -4, -8, -5406 Put 4, 10, 1/3, -1, 2, 1 in descending order. 10, 4, 2, 1, 1/3, -1 Put -10387, -5, -10 in decreasing order. -5, -10, -10387 Put -5, 170, 2, -4, -23, 1 in decreasing order. 170, 2, 1, -4, -5, -23 Put 10, -10/17, -0.063 in decreasing order. 10, -0.063, -10/17 Sort -3, -192/11, 0.2, 1/10. -192/11, -3, 1/10, 0.2 Sort -5, -2, 4, -41, -33 in descending order. 4, -2, -5, -33, -41 Put -33, -19, 3 in decreasing order. 3, -19, -33 Sort -3963, -0.12, -0.4 in increasing order. -3963, -0.4, -0.12 Sort 4, -4, 1, 55, -5, 75 in increasing order. -5, -4, 1, 4, 55, 75 Sort 5, -103768, 0 in decreasing order. 5, 0, -103768 Sort 2951, 14, -1 in decreasing order. 2951, 14, -1 Sort 0.6, -0.44, 5, 137 in descending order. 137, 5, 0.6, -0.44 Put 31015, -4, 13, 2, -5 in decreasing order. 31015, 13, 2, -4, -5 Sort -428, 17/3, -5, -0.52 in decreasing order. 17/3, -0.52, -5, -428 Sort -4, -26, 14, 6 in descending order. 14, 6, -4, -26 Sort 1649, 27, 0.5. 0.5, 27, 1649 Put 5/6, 10, -2, 0.128, 5, -13 in decreasing order. 10, 5, 5/6, 0.128, -2, -13 Sort -4, -6, -729, -2, -5 in decreasing order. -2, -4, -5, -6, -729 Sort 1, -1, 2, -44, -56 in descending order. 2, 1, -1, -44, -56 Put -1, 5, -19, -841 in ascending order. -841, -19, -1, 5 Sort -5, 1, -30, -11581 in descending order. 1, -5, -30, -11581 Sort 7837, 3, -2 in increasing order. -2, 3, 7837 Put -0.1, 4, 1/3, -6/67 in ascending order. -0.1, -6/67, 1/3, 4 Put -11/3, -0.2, 442, -8, -3 in descending order. 442, -0.2, -3, -11/3, -8 Sort -0.366, 0.06, 11 in decreasing order. 11, 0.06, -0.366 Put -1, -13, 0, 4, 28, -4 in ascending order. -13, -4, -1, 0, 4, 28 Sort -0.2, 0, -3.14, 2.3, -4. -4, -3.14, -0.2, 0, 2.3 Sort 99, 2, -4, 3, 1 in increasing order. -4, 1, 2, 3, 99 Sort -7.1, 0.055, 1 in ascending order. -7.1, 0.055, 1 Put 7, 13, -23, 10, -4, 2 in increasing order. -23, -4, 2, 7, 10, 13 Sort -14, 5, -29. -29, -14, 5 Sort -6996, -2/5, 5 in increasing order. -6996, -2/5, 5 Put 0, 8, 39, -24, 4 in ascending order. -24, 0, 4, 8, 39 Sort 1, -4, 13, -259 in descending order. 13, 1, -4, -259 Sort 5, -
{ "pile_set_name": "DM Mathematics" }
ive prob of picking 1 i and 2 w. 7/190 Three letters picked without replacement from {t: 3, e: 1, s: 6, b: 4}. What is prob of picking 3 b? 1/91 Calculate prob of picking 3 d and 1 z when four letters picked without replacement from {d: 3, b: 6, l: 1, z: 4, e: 2, o: 2}. 1/765 Three letters picked without replacement from nnnnhnnnnnnhn. What is prob of picking 1 n and 2 h? 1/26 What is prob of picking 2 q and 2 b when four letters picked without replacement from bbqqdbqbqbqqdqbbbbq? 84/323 Four letters picked without replacement from {o: 3, y: 5}. Give prob of picking 3 y and 1 o. 3/7 Two letters picked without replacement from {d: 1, g: 6, b: 3, h: 2, f: 7}. What is prob of picking 1 d and 1 g? 2/57 What is prob of picking 1 c and 1 q when two letters picked without replacement from {m: 3, g: 7, c: 4, n: 2, q: 2}? 8/153 Four letters picked without replacement from {y: 12, f: 6}. Give prob of picking 1 y and 3 f. 4/51 Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {e: 7, w: 1}. 1/4 What is prob of picking 1 t and 3 a when four letters picked without replacement from {a: 1, b: 1, f: 1, m: 1, t: 2, k: 1}? 0 Four letters picked without replacement from {s: 3, w: 2, z: 4, x: 10}. What is prob of picking 3 z and 1 w? 2/969 What is prob of picking 1 x and 1 p when two letters picked without replacement from xjpasxpj? 1/7 What is prob of picking 1 t, 1 g, and 1 c when three letters picked without replacement from tscgs? 1/10 Two letters picked without replacement from uuuuuduu. What is prob of picking 2 u? 3/4 Three letters picked without replacement from {z: 2, f: 6, g: 1, i: 3, h: 5, x: 2}. What is prob of picking 2 z and 1 x? 2/969 Three letters picked without replacement from {x: 4, y: 3, z: 6, f: 1, b: 1}. Give prob of picking 1 f, 1 x, and 1 z. 24/455 Two letters picked without replacement from apanadaaaaapn. Give prob of picking 1 n and 1 a. 8/39 Three letters picked without replacement from {h: 4, s: 4, w: 9, f: 2}. What is prob of picking 1 s, 1 w, and 1 f? 24/323 Three letters picked without replacement from wcvtcvwtwtccwvtwvw. What is prob of picking 2 t and 1 c? 1/34 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from ekibibijibjibpbii. 1/68 Calculate prob of picking 1 y and 1 b when two letters picked without replacement from bcbcbycbcbcncbccpp. 2/51 Calculate prob of picking 1 c, 1 j, and 1 d when three letters picked without replacement from {b: 3, j: 1, f: 4, d: 4, c: 7}. 28/969 Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {k: 3, s: 10, j: 2}. 4/21 What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 1, k: 1, i: 2, a: 1, r: 2}? 2/21 Two letters picked without replacement from {b: 2, y: 2, d: 1, j: 2, a: 5, h: 2}. Give prob of picking 2 b. 1/91 Four letters picked without replacement from gggegeleeegelgggee. Give prob of picking 1 g and 3 e. 112/765 What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, f: 1, t: 1, l: 1}? 1/5 What is prob of picking 2 z when two letters picked without replacement from rczz? 1/6 Calculate prob of picking 2 j when two letters picked without replacement from jjx. 1/3 What is prob of picking 2 d and 1 t when three letters picked without replacement from {o: 1, d: 6, t: 1, g: 7, j: 2}? 3/136 Four letters picked without replacement from {w: 7, k: 7}. What is prob of picking 2 k and 2 w? 63/143 Two letters picked without replacement from zmvruaru. Give prob of picking 1 z and 1 r. 1/14 Three letters picked without replacement from {m: 2, v: 1, t: 9, h: 1}. Give prob of picking 1 h, 1 t, and 1 m. 9/143 Two letters picked without replacement from {i: 4, y: 2, k: 2}. What is prob of picking 2 i? 3/14 Calculate prob of picking 4 o when four letters picked without replacement from rroorrrorrrorrrrorr. 5/3876 Two letters picked without replacement from dnranxjnajnjnra. What is prob of picking 1 r and 1 a? 2/35 Three letters picked without replacement from bbbbbbbbbb. What is prob of picking 3 b? 1 Three letters picked without replacement from cbccbbcbccbcbt. Give prob of picking 1 c and 2 b. 15/52 Four letters picked without replacement from {u: 2, h: 7}. Give prob of picking 3 h and 1 u. 5/9 What is prob of picking 2 f, 1 i, and 1 z when four letters picked without replacement from {z: 1, f: 1, t: 3, i: 3, q: 2}? 0 What is prob of picking 1 q, 1 h, and 1 x when three letters picked without replacement from {x: 7, u: 1, q: 4, e: 5, h: 1, w: 2}? 7/285 What is prob of picking 2 q when two letters picked without replacement from qyqtqqqyqq? 7/15 What is prob of picking 1 l, 1 s, 1 o, and 1 x when four letters picked without replacement from xlsossts? 2/35 Three letters picked without replacement from qqmqcqimqmmiccq. What is prob of picking 3 m? 4/455 What is prob of picking 1 n, 1 a, and 1 j when three letters picked without replacement from {m: 1, b: 3, a: 2, z: 1, n: 3, j: 1}? 2/55 Calculate prob of picking 1 r and 1 c when two letters picked without replacement from ccrrrrr. 10/21 Calculate prob of picking 3 b when three letters picked without replacement from bbcbcbcbbbbbbbbcbbb. 455/969 Calculate prob of picking 1 z and 2 y when three letters picked without replacement from zzzkkzzzyzzykayzaza. 10/323 Two letters picked without replacement from yyyhyykkyyyyyhh. What is prob of picking 2 k? 1/105 Two letters picked without replacement from dexegeeggg. Give prob of picking 1 d and 1 x. 1/45 Two letters picked without replacement from rrynnruujtn. Give prob of picking 1 u and 1 y. 2/55 Calculate prob of picking 2 q and 2 l when four letters picked without replacement from {l: 7, q: 7}. 63/143 Two letters picked without replacement from {h: 4, n: 5, x: 6}. Give prob of picking 1 h and 1 x. 8/35 Calculate prob of picking 1 f, 1 u, and 2 z when four letters picked without replacement from uzzfuzfuzzfff. 30/143 Two letters picked without replacement from fffmmm. What is prob of picking 1 f and 1 m? 3/5 What is prob of picking 1 i and 1 h when two letters picked without replacement from jjsjssjijh? 1/45 Three letters picked without replacement from oszrrwzwk. What is prob of picking 1 k and 2 w? 1/84 Two letters picked without replacement from kukuukukkuuuk. What is prob of picking 2 k? 5/26 Calculate prob of picking 4 e when four letters picked without replacement from heeheeheeheeeeeehe. 143/612 Three letters picked without replacement from {m: 4, w: 1, e: 2}. Give prob of picking 1 m and 2 e. 4/35 Two letters picked without replacement from nxxv. Give prob of picking 1 v and 1 n. 1/6 Four letters picked without replacement from zzsszkhzzkhszzkz. Give prob of picking 1 z, 2 k, and 1 h. 12/455 Two letters picked without replacement from {f: 10, j: 4}. Give prob of picking 2 j. 6/91 Calculate prob of picking 1 h, 1 n, and 1 x when three letters picked without replacement from xgngexxggghhp. 3/143 Calculate prob of picking 1 j, 1 k, and 1 e when three letters picked without replacement from {j: 1, e: 1, k: 2}. 1/2 Calculate prob of picking 2 m and 2 i when four letters picked without replacement from {r: 2, m: 4, i: 4}. 6/35 Four letters picked without replacement from axuxu. Give prob of picking 2 u and 2 x. 1/5 Two letters picked without replacement from {p: 4, s: 9, i: 4, y: 3}. What is prob of picking 2 s? 18/95 Calculate prob of picking 1 z, 2 f, and 1 q when four letters picked without replacement from qzfzzzsnznnqffzqdqfq. 12/323 What is prob of picking 2 p and 1 c when three letters picked without replacement from {p: 4, n: 2, y: 2, x: 2, c: 1, z: 1}? 3/110 Two letters picked without replacement from {v: 2, y: 1}. What is prob of picking 1 v and 1 y? 2/3 Four letters picked without replacement from wwwxkxkkwkxwwxkj. What is prob of picking 1 w, 2 k, and 1 x? 12/91 Two letters picked without replacement from {x: 2, d: 1, b: 1, k: 1, y: 1, n: 1}. What is prob of picking 1 x and 1 n? 2/21 What is prob of picking 2 g when two letters picked without replacement from gxxxxgxgxxx? 3/55 What is prob of picking 2 v and 1 e when three letters picked without replacement from evvev? 3/5 Four letters picked without replacement from {x:
{ "pile_set_name": "DM Mathematics" }
- 0*z - 3*s. What is the greatest common factor of z and 52? 13 Let g = -31 + 22. Let q be 3/2*(-132)/g. Calculate the highest common factor of 2 and q. 2 Let p = -35 + 40. Calculate the highest common divisor of p and 35. 5 Let m(c) = c + 18. Let x be m(-8). Calculate the greatest common factor of x and 4. 2 Let u(p) = p**2 + 6*p + 7. Let v be u(-7). Let y(s) = 15*s + 5. Let m be y(6). Let d = -67 + m. Calculate the highest common factor of d and v. 14 Let h = -7 + 12. Suppose -4*z + h*a + 447 = 0, 2*a = z - 0*z - 114. Calculate the greatest common factor of z and 12. 12 Suppose d = -0*d. Suppose -5*s + 4*i + 0*i + 268 = d, 5*i = 3*s - 153. What is the greatest common factor of s and 8? 8 Let a = 206 - 113. What is the greatest common factor of a and 62? 31 Let f = 7 + 9. Let z = -34 - -68. Let k = 50 - z. Calculate the highest common divisor of k and f. 16 Suppose 4*k - 12 = -0*k. Calculate the greatest common factor of k and 3. 3 Suppose 0*r - 72 = -4*r. What is the highest common divisor of r and 27? 9 Let j be 1/(-1 - 0) - -4. Suppose -3*s = -3*d + 207, -2*d + j*s + 139 = -0*d. What is the highest common divisor of d and 17? 17 Suppose -3*c = -5*c + 24. Let o(s) = s + 7. Let m be o(-5). Suppose 5*f = m*f + 2*i + 13, -3*f = 2*i - 5. Calculate the greatest common factor of c and f. 3 Let y(c) = -c**3 + 2*c + 1. Let u be y(-2). What is the greatest common divisor of 25 and u? 5 Suppose -3*i + 4*i - 36 = 0. Let p = -22 + i. What is the greatest common divisor of 14 and p? 14 Let k be (-1 + 13)/((-86)/(-129)). What is the greatest common factor of 48 and k? 6 Let j = -137 + 151. Let i(a) = a - 2. Let f be i(3). Let p be 42/(-1*(-1)/f). What is the greatest common factor of j and p? 14 Let m be (-2 - -4)/(2 - 1). Calculate the greatest common divisor of m and 10. 2 Let j = 8 - -1. Calculate the greatest common divisor of j and 36. 9 Suppose 2 - 12 = -5*b. Suppose -2*u + 666 = 4*y + u, 0 = 2*u + 4. Suppose 0*w - 4*w + y = -4*m, b*w - m = 86. What is the greatest common factor of w and 11? 11 Suppose -3*j = 2*j. Suppose j*c = -c. Suppose c = 2*g + 3*z - 4, 0 = g - 6*g + 4*z + 10. What is the greatest common factor of g and 14? 2 Suppose 26 + 96 = 3*c - 2*s, 3*s = -4*c + 174. What is the greatest common divisor of 28 and c? 14 Let l = -16 + 14. Let s = 8 + l. What is the greatest common factor of s and 30? 6 Suppose l + 720 = 7*l. What is the highest common divisor of l and 48? 24 Suppose -14*k = -18*k + 64. Calculate the greatest common divisor of 64 and k. 16 Let b be 6/12 + (-42)/4. Let k = b + 16. Calculate the greatest common divisor of k and 6. 6 Let v be 70 - 1/(1/(-2)). Calculate the highest common factor of 8 and v. 8 Suppose -1 = 5*r - 81. Suppose 4*p - 425 = 279. What is the greatest common factor of r and p? 16 Suppose -29 = -3*v - 14. Calculate the greatest common factor of 15 and v. 5 Let v(k) = 5*k - 1. Let l be v(11). Let w = -32 + l. Calculate the greatest common factor of w and 55. 11 Let o be 99*((-3)/(-9) + 0 - -3). Calculate the greatest common divisor of o and 30. 30 Suppose 27*b - 304 = 23*b. Calculate the highest common factor of b and 19. 19 Suppose -4*c = -35 + 3. What is the highest common factor of c and 2? 2 Let t be (-14 + 1)/(-1) + -1. Let l be 8/(-6)*t/(-16). Calculate the greatest common factor of l and 9. 1 Suppose -5*q - i + 178 + 540 = 0, 0 = 3*q + 4*i - 424. Suppose -4*y = -2*y. Suppose y = 5*l - 19 - 61. What is the highest common factor of q and l? 16 Let n be 5*(-3)/(-6)*12. Calculate the highest common factor of 20 and n. 10 Suppose 2*r = -0*r + 3*w + 10, -w = 0. Suppose -4*o - 4 = -r*o. Let g be (-2 + 3 - 2)*-16. What is the highest common factor of g and o? 4 Let r be (((-26)/(-4) + -3)*-2)/(-1). Calculate the greatest common factor of r and 63. 7 Suppose -2*j = -5*j - 5*f + 11, 2*j - 8 = -3*f. Calculate the highest common factor of j and 105. 7 Suppose 5*r - 145 = -0*r - 5*t, 5*r - 157 = -t. Let b = r + -21. What is the highest common factor of b and 77? 11 Suppose -2*c + 5 = 2*k - 5, -5*c = 0. What is the highest common divisor of k and 45? 5 Let i(c) = -c**3 + 4*c + 1. Let d be i(-3). Let y be (d/(-1))/(-4) + 10. Suppose -t + 3 = 1. What is the greatest common divisor of y and t? 2 Let b be (-12)/(-8)*152/3. Let z = -41 + b. Suppose -3*g = t - 2*t - 17, 0 = -5*g - 4*t + 51. Calculate the highest common factor of z and g. 7 Suppose -5*v - 30 = -5*g, -2*g + 2*v - 3 = -3*g. Suppose -2*u = -g*u + 15. Let h = -7 - -12. What is the greatest common factor of u and h? 5 Suppose 0 = -k + 3*k + 2*g - 946, 4 = 2*g. Let v = k + -264. Let p(f) = 7*f**2 + 4*f + 3. Let t be p(-2). What is the greatest common factor of v and t? 23 Let q be 7/(-42) + 111/18. What is the highest common divisor of 24 and q? 6 Suppose -5*z = -2*z - 264. Calculate the highest common factor of z and 22. 22 Let d(c) = c**3 + 2*c**2 - c + 5. Let y be d(0). What is the highest common divisor of 35 and y? 5 Suppose -x - 13 = -3. Let d(a) = a**3 + 9*a**2 - 14*a + 8. Let q be d(x). What is the greatest common factor of 72 and q? 24 Suppose -n - 5*t = -8, 4*n - 5 = 4*t + 3. Let m be 1*n/((-3)/(-13)). Calculate the highest common divisor of m and 13. 13 Suppose 4*o + 2*n - 5*n - 23 = 0, -14 = -2*o + 2*n. Calculate the greatest common divisor of o and 18. 2 Let y(o) = -o**2 - 9*o. Let r be y(-4). Suppose 2*i + 16 = 4*i. Let f be 60/3*4/i. What is the highest common factor of f and r? 10 Let g be -3 - ((-2)/(-3))/((-8)/156). Calculate the highest common factor of 2 and g. 2 Suppose -1625 - 1075 = -6*u. Suppose 6*r - r - u = 0. What is the greatest common divisor of r and 18? 18 Suppose 4*k - 62 = 18. Suppose 0 = 7*u - 2*u + k. Let h = u + 5. Calculate the highest common divisor of 7 and h. 1 Let c be (-6)/(-1 + (-2)/(-6)). Suppose -3*j + 3*g + 14 = -4, c = 5*j + 2*g. Let t be ((-1)/(-2))/(14/84). What is the highest common divisor of t and j? 3 Suppose 0 = -15*t + 19*t - 32. Calculate the greatest common divisor of 16 and t. 8 Let i be 1/(-2) + 5/2. Let t be (-2 - 2)*i/(-4). Suppose -4*j - 308 = -t*v, 0*j + 3*j = 2*v - 308. What is the highest common divisor of v and 14? 14 Suppose 0 = 4*f - 9*f - 55. Let a = -2 - f. Calculate the highest common factor of 18 and a. 9 Suppose -5*b + 8 = -2. Suppose -47 = -b*u + 43. What is the greatest common factor of u and 9? 9 Let m be 1/(3 - (4 - 2)). Let i be m/(-4) + (-116)/(-16). Calculate the greatest common factor of 21 and i. 7 Suppose -7*x = -2*x + 115. Let j = 27 + x. Calculate the highest common divisor of j and 8. 4 Let b be (4/(-7))/(12/(-126)). Suppose -3*o - 3*w + 9 = -b*w, 2*o + 2*w - 26 = 0. What is the greatest common divisor of 80 and o? 8 Let m be (-5)/30 - 8858/(-12). Suppose 5*u - 2*g - m = -0*g, 0 = u - 3*g - 145. Calculate the highest common divisor of 37 and u. 37 Suppose -168 = -5*q - p + 77, 0 = 3*q + 4*p - 164. Calculate the highest common factor of q and 192. 48 Suppose 3*a = 6*a - 228. Suppose -l + 36 + 8 = 3*u, 4*u = 3*l + a. Calculate the greatest common divisor of 112 and u. 16 Suppose 4*t - 5*x = 2*t + 29, 4*x = -4*t + 100. What is the highest common divisor of t and 2? 2 Suppose -2*m - 44 = -2*p, p - 6*p = 2*m - 82. What is the highest common divisor of p and 54? 18 Suppose -o + 42 = 13. Suppose 3*m + o = 95. Let s = 74 + -41. Calculate the highest common divisor of s and m. 11 Let t be (-5)/((-20)/16)*2. Calculate the greatest common factor of 2 and t. 2 Let p be -27*-4*(-1)/(-6). Let u = p + 0. What is the highest common factor of 144 and u? 18 Suppose 7*s = 3*s + 400. Suppose -2*h + s = 2*h. What is the highest common divisor of h and 10? 5 Let z = -61 + 67. What is the greatest common factor of 4 and z? 2 Let b = 2 - -5. What is the greatest common factor of b and 21? 7 Let y = -32 + 18. Let a be (-102)/y - (-6)/(-21). Calculate the highest common divisor of a and 70. 7 Let c(v) = -v**2 - 3*v + 3. Let k be c(-4). Let a = 1 + k. Suppose a + 2 = o. Calculate the highest common factor of 1 and o. 1 Let u(z) = 49*z + 0 - 50*z + 1. Suppose n + 3*y + 20 = 0, 0 = -n - 0*n + y. Let l be u(n). Calculate the greatest common factor of 30 and l. 6 Let m = 41 - -19. Suppose z - 120 = -3*z. Let f = z + -15. Calculate the highest common divisor of f and m. 15 Suppose n - 3 - 2 = 0. Supp
{ "pile_set_name": "DM Mathematics" }
p(a) = -47*a. Let v be p(1). Let f = v + j. Is 17 a factor of f? False Let z(v) = 29561*v**3 + 111*v - 110. Is 26 a factor of z(1)? True Suppose 49*x + 14423 = h + 46*x, 2*h + 5*x - 28835 = 0. Is h a multiple of 7? True Suppose -5*i - 339588 = -17*i. Is 31 a factor of i/21 + (-6)/(-14)? False Suppose 9*i - 15 = 4*i. Let g be (1/(-3))/(i/(-36)*2). Suppose -5*w = 4*v - 88, w + 0*v + g*v = 14. Does 10 divide w? True Let m(w) = 4*w + 27. Let l(i) = 7*i + 55. Let j(a) = -3*l(a) + 5*m(a). Let o be j(0). Is 22 a factor of (-10)/(o/(-9)) - (0 + -123)? False Let z be (-6)/(-14) - (-4 - 48/(-14)). Is 12 a factor of -24*48/(-4 + z)? True Suppose 0 = -2*c + 2*n + 14, 0 = 13*c - 9*c + 3*n + 7. Suppose -3*t + 4508 - 526 = 4*s, -c*s - 6628 = -5*t. Is 33 a factor of t? False Suppose 39169 - 2694 = 4*x - 3*o, -3*x + 27320 = 5*o. Is x a multiple of 147? False Let a(c) = -c**3 + 6*c**2 - c + 8. Let q be a(6). Suppose -f = -2*n - 5 + 2, q*f = 5*n + 6. Does 2 divide (n + 12)*(2 - (-12)/(-9))? True Suppose -30 = -5*s - 5*h, -2*s + 12*h - 18 = 8*h. Let r(w) = 404*w + 26. Does 43 divide r(s)? True Suppose -489*a + 28223 = -486*a + 2*m, 4*a + 4*m = 37628. Is a a multiple of 41? False Suppose -38 + 508 = i. Let d(b) = -104*b + 4. Let x be d(3). Let h = i + x. Is h a multiple of 18? True Let i(k) = 10*k**2 - 37*k. Let b be i(7). Let a = b - 92. Is 26 a factor of a? False Let g be (-276)/(-9)*(-99)/(-12). Suppose 3*m - g - 128 = 0. Is 19 a factor of m? False Let h(m) = -2*m + 66. Suppose -c = -0*c. Let g be h(c). Is 3 a factor of (g/(-8))/((-3)/8)? False Suppose 0 = 5*x - r - 14 + 5, -5*x - r + 11 = 0. Is 30 a factor of x/7 + (-1168)/(-28)? False Let c(k) = 55*k - 104. Let w be c(8). Suppose -2*q = -6*q + w. Is q a multiple of 11? False Let k(i) = 13*i**3 - 45*i**2 + 270*i - 11. Is 25 a factor of k(8)? True Suppose -4*g - 5*a + 17 = -8, 0 = 5*g - 4*a - 21. Suppose -3*m = -s + 60, -s = -g*m - 0*m - 50. Is s a multiple of 41? False Suppose -168*g = -132*g - 532836. Is g a multiple of 30? False Let p = -29 - -26. Let n(u) = -10 + u**2 + 0*u**2 + 12 - 2*u. Is n(p) a multiple of 2? False Suppose 4*v + 7820 = 4*i, 22*v = i + 20*v - 1960. Is 25 a factor of i? True Let h(q) = 4*q**2 + 32*q - 639. Does 211 divide h(-59)? False Let b(o) = -o**3 - 29*o - 21 + 0*o**3 - 20*o**2 + 52*o. Let w be b(-21). Let z = 111 + w. Is z a multiple of 8? True Let g be (-42)/(-4)*(-14)/(-49). Suppose 14*l - 17*l + 610 = -2*c, -l + 208 = -g*c. Does 2 divide l? True Let g(w) = -12 - 5*w + 20*w + 9*w. Does 26 divide g(7)? True Let f(k) = -k**2 - 19*k - 28. Let g be f(-17). Suppose 1 = g*a - 1703. Is 15 a factor of a? False Let j = 108 + -101. Suppose j*r - 168 - 175 = 0. Does 7 divide r? True Suppose 55*b + 2809 = 16229. Is b a multiple of 2? True Suppose 2*h - 30960 = -25*v + 23*v, 15471 = v - 2*h. Is v a multiple of 21? True Let s(y) = 8*y + 12 - 14*y - 83*y. Is s(-1) a multiple of 3? False Let y(u) = -2*u**3 + 18*u**2 + 23*u - 19. Let s be y(10). Suppose b - 103 = -g, -s = 2*b - 1. Is 4 a factor of g? True Let l = -123 - -123. Does 17 divide 1 - (-264 - l/(-3))? False Suppose -p - 3*z = 13, -3*z + 9 = -5*p - 4*z. Let y = p + 11. Suppose 2*o - y = 120. Does 9 divide o? False Suppose 11*b + 19 + 36 = 0. Does 6 divide ((-3225)/12)/b - (-2)/8? True Let r = -109 - -112. Suppose l + r*l = -4, -51 = -3*m - 3*l. Is m a multiple of 6? True Suppose 2*w + 4*b = 1390, 10*w - b - 698 = 9*w. Suppose -w*h - 2322 = -706*h. Is 86 a factor of h? True Let x = 4542 - 782. Suppose -x = -2*s - 2*s. Is s a multiple of 20? True Let l = -9807 - -11457. Does 6 divide l? True Let p(j) = -10327*j - 45. Does 82 divide p(-1)? False Let g = 417 + -415. Suppose -6 = -g*m, -4*f + 3*m = -6*f + 19. Does 5 divide f? True Suppose 0 = -0*h - 2*h + 3*h - 139. Suppose 4*x + 489 = 5*p + 168, x = -3*p - 76. Let k = h + x. Does 15 divide k? True Let n(z) be the second derivative of 127*z**3/6 + 39*z**2/2 + 9*z + 1. Is n(3) a multiple of 12? True Suppose -186*v - 1839600 = -242*v. Is 53 a factor of v? False Let c(q) = -24*q + 297. Let w be 0/(-7 - -14)*2/6. Is c(w) a multiple of 9? True Let u = 54 + 9. Let z = 315 - u. Is 42 a factor of z? True Suppose -3*b + 9*b = 108. Let d be (3 - 1)*(2 + -4) + 47. Let n = d - b. Is 11 a factor of n? False Suppose -4*i = 3*r - 0*i - 169, 5*r + 2*i = 277. Let d = r - 56. Let b = 3 - d. Is b a multiple of 2? True Let w be 3 + (3 - (-2 + 5)) + -4. Is (-2)/(-10)*55*(4 + w) a multiple of 13? False Let o(v) = -8*v - 12. Let t(r) = -1. Let f(k) = 2*o(k) - 20*t(k). Suppose 0 = 5*h - 3*m + 13, -m = -3*h + 9 - 16. Is 4 a factor of f(h)? True Let a = -4658 - -7631. Is a a multiple of 7? False Let i = 10976 + -10258. Is i a multiple of 230? False Suppose -2*a + 3*q + 25 + 4 = 0, -2*q = 3*a - 24. Does 9 divide (1 - a/6) + 93184/546? False Let f(p) = 2*p**2 + 38*p - 26. Let x be f(-19). Let q = -9 + x. Let s = 119 + q. Is s a multiple of 12? True Let f(n) = n**2 + 13*n + 64. Let g be f(-6). Is 7 a factor of ((-13761)/g)/(-9) - (-6)/(-4)? False Suppose -11*x + 1460 = -1961. Suppose 0 = 4*f - o - 424, -f + 4*f + o = x. Is f a multiple of 35? True Suppose -5*l - 1818 = -k, 12*k - 8*k = -4*l + 7200. Is k a multiple of 4? False Let z = -3882 - -15653. Does 5 divide z? False Suppose -277 - 35 = 3*t. Let c = 251 + t. Is 21 a factor of c? True Let a(p) = p**3 - 15*p**2 + p - 11. Let k be a(15). Let n be -1 + k/((-12)/15). Does 30 divide (-8)/n + 443/3? False Let u(l) = l**2 - l - 5. Let z be u(-5). Suppose f + 5*j - 7 = 67, 2*j = -3*f + 157. Let t = f - z. Is 8 a factor of t? True Let y(f) = 2128*f + 576. Does 10 divide y(15)? False Let i(u) = -526*u**3 + 9*u**2 + 6*u + 43. Is 80 a factor of i(-5)? False Suppose 8*b = -12295 + 61775. Suppose 0 = 14*y - 8865 - b. Is y a multiple of 39? False Let u(f) = 3*f - 13. Let b be u(5). Suppose b*o = o + 81. Is 3 a factor of o? True Let o = 543 + 415. Let a = -518 + o. Is a a multiple of 20? True Let h(o) = 9*o**3 + 4*o**2 + o - 36. Let i be (1 - 1) + (0 + 9 - 5). Is 32 a factor of h(i)? True Let b be 4/(-2) - (-9306)/6. Let j = -717 + b. Is 26 a factor of j? True Let d = 289 + -405. Let p = 386 + d. Does 54 divide p? True Suppose 2*k - 3*d + 2 = 0, -2*d = k - 0*k - 13. Suppose -k*y = 5*t + 10, 3*t = -y + 3 - 5. Does 22 divide 0 + (-4)/(6 + y) + 242? False Let n be (4/(-7))/(-2) + (-229090)/(-217). Suppose n = 8*c - 4*c. Does 8 divide c? True Suppose 54*r - 163165 = 247775. Is r a multiple of 12? False Let w(m) = 25*m**2 - 91*m + 20. Does 13 divide w(9)? False Suppose -g + 540 + 3754 = 4*w, 4*g = 3*w + 17157. Is 15 a factor of g? True Let o = 162 - 215. Let n = 179 + o. Is 14 a factor of n? True Let l(h) = -40*h + 42. Let i(b) = 21*b - 22. Let c(r) = -11*i(r) - 6*l(r). Suppose 9*v - 13*v + 48 = 0. Does 18 divide c(v)? False Let d(j) be the second derivative of 7*j**4/12 + 29*j**3/6 - 5*j**2/2 + 65*j. Is d(-5) a multiple of 10? False Let s(i) = 78*i**2 + 96*i - 71. Does 75 divide s(14)? False Let r = -1352 + 8063. Is r a multiple of 20? False Let n(w) = 13 - 19 + 2*w - 30 - 10. Let j be n(14). Is (j/(-15))/((-3)/(-140)) a multiple of 28? True Let h(z) = 163*z**2 + 75*z - 703. Is h(9) a multiple of 25? True Let o(b) = -2*b**3 + 34*b**2 + 23*b - 26. Let y be o(18). Let p = 494 + y. Is p a multiple of 61? False Let c be (-10800)/(-105)*210/9. Suppose 66*k + c = 74*k. Does 49 divide k? False Suppose -y + 3*p = -1183, 3*p + 2*p - 4834 = -4*y. Is y even? False Let k = -2846 + 3647. Is 89 a factor of k? True Suppose -2*d - y = -3*y + 20, 0 = 3*d + 2*y + 5. Let f = 8 + d. Is 11 a factor of 3 + 36 + f + 4? False Let n = -51 + 55. Let h be 6/(-3)*-2 - n - -7. Suppose h*q - 226 = 82. Is 11 a factor of q? True Suppose 0 = -23*n + 3 - 486. Does 48 divide 6 - 60*n/14? True Let z be -4 - (2/(-11) - (-21567)/(-143)). Let q = 216 + z. Is 9 a factor of q? False Suppose -4*l + t = 53 - 14, 4*t + 4 = 0. Is l/2 - -482 - (-3 + 6) a multiple of 8? False Suppose -2*m + r - 15 = 0, m + 14 + 7 = 5*r. Let p(n) = -n**3 + 2*n**2. Let u(f) = f**3 - 13*f**2 + 2*f + 6. Let l(q) = -2*p(q) - u(q). Is 19 a factor of l(m)? True Let w = 16167 - 10073. Is w a multiple of 22? True Does 26 divide (-80)/(-15)*1136 + 2/(-3)? True Let h(m) = 2*m**2 + 31*m - 650. Does 10 divide h(-70)? True Suppose 6*q - q - 565 = 0. Suppose
{ "pile_set_name": "DM Mathematics" }
+ 0 - 5*a**2 + 2 + 6*a. Let m(l) = -3*b(l) + 2*q(l). Find the second derivative of m(c) wrt c. 6 Let n = 9 + -7. What is the first derivative of 0*d**2 + 1 + 2*d**n + 2 - 7 wrt d? 4*d Let d(a) = a**3 - 6*a**2 + 5*a + 2. Let x be d(5). What is the first derivative of -3*z**2 + x*z**2 + 2 - 3 wrt z? -2*z Let o(k) = -4*k - 15. Let r be o(-6). Find the third derivative of 6*m + r*m + 4*m**2 - 15*m - 7*m**4 wrt m. -168*m Let w(a) = -27*a**3 - 5*a - 3. Let m(b) = 53*b**3 + 8*b + 7. Let y(i) = -3*m(i) - 5*w(i). Find the second derivative of y(v) wrt v. -144*v Let j(x) be the first derivative of -23*x**7/7 - 19*x**3/3 + 27. Find the third derivative of j(v) wrt v. -2760*v**3 Find the second derivative of 0*j**5 + 9*j + 2*j**2 - 2*j**2 - 9*j**5 wrt j. -180*j**3 Let t(j) = -j**3 + 4*j**2 + 2*j - 4. Let s be t(4). What is the third derivative of -2*z**s + 6*z**4 - 6*z**2 + 5*z**2 wrt z? 96*z What is the third derivative of 22*c**2 - 19*c**2 - 28*c**2 + 25*c**4 wrt c? 600*c Let p(b) = -b**3 - b. Let w be p(-1). Find the third derivative of 3*m**6 + w*m**2 + 11*m**4 - 11*m**4 + m**6 wrt m. 480*m**3 Suppose 0 = -4*v - 4*b, 2*b - 1 - 3 = -3*v. What is the third derivative of 3*z**2 + z**5 - v*z**2 + 3*z**2 - z**2 wrt z? 60*z**2 Suppose -2*f = -5*f. Suppose f*r + 2*r - 4 = 0. What is the third derivative of t**5 + 2*t**2 + 0*t**r + t**5 wrt t? 120*t**2 Let m(c) = 4*c**4 + 3*c**3 - 3*c**2 + 3*c + 4. Let w(i) = -i**4 + i**3 - i**2 + i - 1. Let g(k) = m(k) - 3*w(k). Find the first derivative of g(f) wrt f. 28*f**3 Let t be (-2)/(-2) + -4 + -2. Let b(v) = -3. Let s(r) = r + 6. Let c(y) = t*b(y) - 3*s(y). Find the first derivative of c(o) wrt o. -3 Suppose 6*i - 5*k = 2*i + 25, 0 = -5*k - 5. What is the second derivative of -2*c + c - 2*c + 2*c**5 + c**i wrt c? 60*c**3 Suppose -3*u - 10 = -8*u. Find the third derivative of -s**u + s**4 + 3*s**5 - 5*s**5 - s**4 wrt s. -120*s**2 Let c(a) be the first derivative of a**9/1512 - a**5/40 + 2*a**3/3 + 4. Let v(d) be the third derivative of c(d). Find the second derivative of v(l) wrt l. 40*l**3 Let v = -269/220 - -14/11. Let i(d) be the second derivative of -3*d + 0*d**2 + 0*d**3 + 0 - v*d**5 - 1/12*d**4. What is the third derivative of i(j) wrt j? -6 Suppose 5*o = -3*y + 10, -o + 2*o + 4*y = 2. What is the third derivative of 3*w**3 + 7*w**6 - w**o - 3*w**3 wrt w? 840*w**3 Suppose -4*x + 4*k + 16 = 0, 3*x - 2*k - 6 = 2. Find the first derivative of x*z - 5*z + 7*z - 4 wrt z. 2 Let d(u) = -u**4 + u**3 + u**2 - 1. Let f(c) = -15*c**4 - 3*c**3 - 3*c**2 + 5*c + 3. Let l(y) = 3*d(y) + f(y). What is the second derivative of l(o) wrt o? -216*o**2 Let q(v) = -v**2 - 5*v. Let n be q(-5). Let b(g) be the first derivative of 0*g**2 - 3*g + 1 + 3/4*g**4 + n*g**3. What is the first derivative of b(d) wrt d? 9*d**2 What is the third derivative of 15*a**2 + 21*a**6 + 9*a**2 - 20*a**6 wrt a? 120*a**3 Let r(l) be the second derivative of 5*l**7/21 + l**4/4 + 6*l. Find the third derivative of r(w) wrt w. 600*w**2 Let i(v) be the first derivative of 3*v**2 + 2*v**3 - 4*v**3 - 3 + 0. What is the second derivative of i(h) wrt h? -12 Let g(h) be the first derivative of 0*h + 1/5*h**5 + 2/3*h**3 + 0*h**4 + 1 + 0*h**2. What is the third derivative of g(w) wrt w? 24*w Let h(x) = x + 6. Let i be h(-7). Let z = 5 + i. What is the second derivative of 2*d - 2*d**4 + 0*d**4 + d**z wrt d? -12*d**2 Let m(z) = z**3 - 5*z**2 - 5*z - 4. Let t be m(6). What is the second derivative of -t*i**5 + 0*i**5 + 10*i - 6*i wrt i? -40*i**3 Let i(b) be the second derivative of -9*b**3/2 + 11*b**2/2 - 8*b. What is the first derivative of i(w) wrt w? -27 Differentiate -2 + 7*y - 1 - 3 wrt y. 7 Let s(i) be the second derivative of i**9/7560 + i**7/630 - i**4/3 + 3*i. Let m(c) be the third derivative of s(c). Find the third derivative of m(u) wrt u. 48*u Let t(y) be the third derivative of y**5/12 + y**3/2 + 3*y**2. Differentiate t(p) with respect to p. 10*p Let a be 44/12 + (-4)/6. Differentiate -2 - 2 - l**4 + a with respect to l. -4*l**3 Let j(d) = -3*d**2 - 11*d + 3. Let q(p) = 6*p**2 + 21*p - 5. Let g(n) = 5*j(n) + 3*q(n). What is the second derivative of g(z) wrt z? 6 Let d be -1 + (8 - 1) - 2. Suppose 8*t = -x + 3*t + 12, -4*x + 16 = d*t. Find the third derivative of 10*b**4 - 10*b**4 - 2*b**6 - b**x wrt b. -240*b**3 Let l(z) be the third derivative of z**6/10 + 5*z**3/6 - 3*z**2. What is the derivative of l(o) wrt o? 36*o**2 Let j(x) be the first derivative of 6*x**5/5 - 10*x**3/3 - 4. What is the third derivative of j(o) wrt o? 144*o Let k(x) = -12*x - 11. Let w(t) = -4*t - 4. Suppose 0 + 40 = 5*i. Let o(a) = i*w(a) - 3*k(a). What is the first derivative of o(d) wrt d? 4 Let i be (1/2)/(1/12). Find the third derivative of 2*g**i + g**2 + 5*g**2 - 3*g**2 wrt g. 240*g**3 Suppose -3*p - 8 = -5*p. Suppose 5*r - 10 = -0*r. What is the third derivative of -4*n**4 + 4*n**p - 2*n**6 + r*n**2 wrt n? -240*n**3 Let k(j) be the third derivative of -j**8/336 + j**4/8 - 6*j**2. Find the second derivative of k(u) wrt u. -20*u**3 Let z(f) be the first derivative of -2*f**5 - 7*f**2/2 - 11. Find the second derivative of z(k) wrt k. -120*k**2 Let v(w) be the third derivative of -w**5/15 + 4*w**3/3 - 8*w**2. What is the derivative of v(q) wrt q? -8*q What is the second derivative of 3*v**3 - 7*v - 9*v**3 - 14*v - 5*v**3 wrt v? -66*v Let u = -11 - -16. What is the derivative of -4 + u + 4 + 2*p**4 - 4 wrt p? 8*p**3 Suppose -5*a + 6 = -3*a. What is the derivative of -b**3 + b**3 - 1 + 2*b**3 + 2*b**a wrt b? 12*b**2 Let u(w) be the second derivative of 0*w**2 + w - 1/12*w**4 + 0 + 0*w**3 + 1/20*w**5. Find the third derivative of u(l) wrt l. 6 What is the second derivative of -9 - 4*z + 9 - 5*z**4 wrt z? -60*z**2 Let g(h) = -11*h**3 + h**2 + 2*h + 1. Let p be g(-1). Differentiate -5 + p*n**2 - 3 - 2 with respect to n. 22*n Let c(p) be the first derivative of -5*p**6/3 + 5*p**2/2 + 7. Find the second derivative of c(r) wrt r. -200*r**3 Find the third derivative of -58 + 58 - 2*r**3 + 21*r**3 + 7*r**2 wrt r. 114 What is the third derivative of -7*m**2 + 4*m**6 - 28*m**5 + 28*m**5 wrt m? 480*m**3 Let n be 1/2 + (-25)/(-10). Find the third derivative of n*g**4 + 0*g**4 - 2*g**2 - g**2 wrt g. 72*g Let o = 22 + -18. Let k(v) be the second derivative of 1/2*v**2 + 0 - 1/6*v**o + 0*v**3 - v. Differentiate k(s) with respect to s. -4*s What is the derivative of 3*a - 13*a + 15 - 9 wrt a? -10 Suppose 0 = -0*f - 2*f. What is the second derivative of -3*c**3 + 2*c**3 + f*c**3 - 2*c wrt c? -6*c Let w(f) = f**3 - 6*f**2 + 7*f. Let a be w(5). What is the first derivative of -6 - a*z**3 + 3 + 19*z**3 wrt z? 27*z**2 Let r(d) be the first derivative of -d**8/840 + d**6/60 + 2*d**3 + 2. Let h(l) be the third derivative of r(l). Find the third derivative of h(t) wrt t. -48*t Let v(q) = q**3 - q**2 + q - 1. Let d(f) = 31*f**3 - 3*f**2 + 30*f - 3. Let z(h) = -d(h) + 3*v(h). What is the second derivative of z(u) wrt u? -168*u What is the third derivative of 121*s**6 + 15*s**2 + 14*s**2 - 99*s**6 wrt s? 2640*s**3 Let s(m) = -12*m**3 + 21*m**2 + 3. Let o(i) = 24*i**3 - 42*i**2 - 5. Let b(a) = 3*o(a) + 5*s(a). What is the third derivative of b(j) wrt j? 72 Let y(w) = w**3 + w**2 - 7*w - 7. Let r(q) = q + 2*q - q + 2. Let u(a) = -7*r(a) - 2*y(a). Find the third derivative of u(b) wrt b. -12 Let g(a) = 73*a**3 - 8*a**2 + 22*a - 8. Let u(x) = 24*x**3 - 3*x**2 + 7*x - 3. Let k(z) = 3*g(z) - 8*u(z). What is the second derivative of k(p) wrt p? 162*p Let s(m) be the first derivative of -8*m**5/5 - 5*m**2/2 + 22. Find the second derivative of s(z) wrt z. -96*z**2 Let c(q) = 2*q**2 - q - 6. Let o be c(3). What is the derivative of -7*v**2 + 7 + 16*v**2 - o*v**2 - 2*v**3 wrt v? -6*v**2 Let l(j) be the first derivative of 0*j + 2/3*j**3 + 0*j**2 + j**4 - 2. What is the third derivative of l(d) wrt d? 24 Suppose 5*m - 55 = -4*c + 3, -4*c = m - 50. Let r be 44/7 + c/(-42). Find the third derivative of 3*h**2 + 2 - 2*h**r - 2 + 6*h**6 wrt h. 480*h**3 Let j(i) = -5*i - 6*i + i**4 - 4*i**4 + 12*i. Let q(m) = 3*m - m**4 + 8*m**4 - 6*m. Let h(n) = 9*j(n) + 4*q(n). Find the second derivative of h(g) wrt g. 12*g**2 Let k(p) be the first derivative of -14*p**3/3 + 15*p**2/2 - 8. Find the second derivative of k(d) wrt d. -2
{ "pile_set_name": "DM Mathematics" }
ple of 8207 and 261. 73863 Calculate the lowest common multiple of 8 and 19608. 19608 What is the least common multiple of 27048 and 42? 27048 What is the common denominator of -103/5198 and -89/6? 15594 Calculate the common denominator of 21/2014 and 63/494. 26182 What is the common denominator of 58/1241471 and 68/35? 6207355 What is the common denominator of 37/67728 and -83/21? 474096 Find the common denominator of 3/196 and 69/490. 980 Find the common denominator of 62/215 and -43/1110. 47730 Calculate the common denominator of 31/117 and 37/150570. 1957410 What is the least common multiple of 4626 and 138? 106398 Calculate the least common multiple of 3264 and 1825392. 7301568 What is the least common multiple of 35040 and 35040? 35040 What is the smallest common multiple of 50454 and 198? 554994 Calculate the smallest common multiple of 8454 and 297. 836946 Find the common denominator of 16/2023 and 37/36. 72828 Calculate the least common multiple of 268 and 1809. 7236 Calculate the lowest common multiple of 423342 and 470380. 4233420 Find the common denominator of 99/34 and 65/9158. 155686 Calculate the common denominator of -11/42432 and 125/9984. 169728 Calculate the least common multiple of 1029 and 1029. 1029 Find the common denominator of -167/1008 and 19/642. 107856 Calculate the least common multiple of 135 and 517890. 4661010 What is the least common multiple of 348 and 48? 1392 Calculate the common denominator of -45/427 and -26. 427 What is the smallest common multiple of 1210 and 16500? 181500 Calculate the least common multiple of 6673 and 106768. 106768 Calculate the lowest common multiple of 462 and 5292. 58212 What is the common denominator of 113/10 and 15/43897? 438970 What is the common denominator of 123/213760 and 45/512? 427520 What is the lowest common multiple of 345 and 6003? 30015 What is the common denominator of 91/3912 and -133/6684? 2178984 What is the common denominator of -71/4791 and 67/6? 9582 Calculate the smallest common multiple of 471 and 321. 50397 What is the common denominator of -151/32106 and -75/139126? 417378 Calculate the common denominator of -8/9 and -11/24271. 218439 Calculate the common denominator of 49/3177 and -77/12708. 12708 Find the common denominator of 109/2158 and 27/28808. 2391064 Calculate the common denominator of 79/96 and -47/9378. 150048 Calculate the common denominator of -67/28 and -107/523980. 3667860 Calculate the common denominator of 1/5960 and -77/10. 5960 What is the least common multiple of 165 and 2738985? 30128835 Calculate the common denominator of -11/210 and 31/127938. 4477830 What is the common denominator of -49/2160 and -47/248? 66960 Calculate the common denominator of 63/2 and 17/32676. 32676 Calculate the smallest common multiple of 31912 and 31912. 31912 Calculate the smallest common multiple of 644 and 46092. 322644 Find the common denominator of -91/38775 and 169/15792. 4342800 Calculate the least common multiple of 220 and 20790. 41580 Find the common denominator of 43/13206 and 13/852. 26412 Calculate the common denominator of -44/16911 and -47/6. 33822 What is the least common multiple of 26558 and 44? 584276 Find the common denominator of 79/1248 and -49/603. 250848 What is the common denominator of 8/7955 and 68/129? 23865 Calculate the common denominator of 29/72 and 33/10028. 180504 Calculate the lowest common multiple of 64827 and 6174. 129654 What is the least common multiple of 154 and 19756? 138292 What is the common denominator of 43/18 and 73/40044? 120132 Calculate the smallest common multiple of 39412 and 36. 354708 Calculate the common denominator of 62/3 and -1/2007285. 2007285 Find the common denominator of -35/3813 and 29/31775. 95325 What is the least common multiple of 87230 and 275110? 3576430 What is the common denominator of -173/1080 and 53/12840? 115560 What is the least common multiple of 6435 and 2925? 32175 What is the least common multiple of 2784 and 276? 64032 Calculate the common denominator of 149/3894 and 40/297. 35046 Calculate the lowest common multiple of 5136 and 749. 35952 What is the smallest common multiple of 13320 and 33300? 66600 Calculate the least common multiple of 703 and 2849. 54131 Find the common denominator of -9/8 and -83/1205378. 4821512 What is the lowest common multiple of 40 and 111280? 111280 Calculate the least common multiple of 733323 and 27. 6599907 Calculate the least common multiple of 651 and 826. 76818 Calculate the lowest common multiple of 90207 and 6. 180414 What is the lowest common multiple of 300 and 186? 9300 Calculate the lowest common multiple of 324853 and 2. 649706 What is the smallest common multiple of 429540 and 257724? 1288620 Find the common denominator of -58/9825 and 2/1965. 9825 What is the common denominator of -59/45414 and -107/216? 181656 What is the common denominator of 24/810847 and 68/45897? 2432541 Calculate the lowest common multiple of 1056 and 2112. 2112 Calculate the lowest common multiple of 1222 and 276. 168636 Calculate the common denominator of -161/6960 and -149/300. 34800 Find the common denominator of -25/3297 and -64/231. 36267 Calculate the least common multiple of 27520 and 6450. 412800 Find the common denominator of 98/94905 and 7/21090. 189810 Find the common denominator of -13/719587 and 74/588753. 6476283 Calculate the least common multiple of 10656 and 6732. 1992672 What is the smallest common multiple of 22768 and 2? 22768 Calculate the common denominator of 46/122821 and -67/4. 491284 Calculate the smallest common multiple of 1098 and 88. 48312 What is the smallest common multiple of 640 and 203200? 406400 What is the least common multiple of 3 and 1499462? 4498386 Calculate the lowest common multiple of 20962 and 2230. 104810 Calculate the least common multiple of 18 and 19806. 59418 Calculate the least common multiple of 114 and 2043. 77634 Calculate the least common multiple of 26915 and 45. 242235 Calculate the common denominator of -117/16000 and -7/24000. 48000 What is the least common multiple of 37560 and 69? 863880 Calculate the common denominator of -88/23985 and -43/14391. 71955 What is the smallest common multiple of 590 and 14? 4130 Find the common denominator of -87/14 and 47/412034. 412034 Calculate the smallest common multiple of 81432 and 15. 407160 Calculate the least common multiple of 150 and 45750. 45750 Calculate the least common multiple of 45 and 270. 270 Find the common denominator of 55/32084 and 47/120315. 481260 Find the common denominator of 53/235788 and -101/1470. 1178940 Calculate the lowest common multiple of 125097 and 1035. 1876455 What is the common denominator of -43/1500 and -92/105? 10500 What is the least common multiple of 45087 and 791? 45087 What is the least common multiple of 4910 and 7856? 39280 What is the common denominator of 51/229315 and -19/25? 1146575 Calculate the smallest common multiple of 6432 and 6. 6432 What is the lowest common multiple of 155720 and 1326? 6073080 Calculate the common denominator of -24/469 and -6/56615. 396305 Calculate the common denominator of 101/22684 and -79/1498. 158788 Find the common denominator of 11/829362 and -10/357. 5805534 What is the lowest common multiple of 24962 and 10? 124810 Calculate the lowest common multiple of 901 and 5. 4505 What is the least common multiple of 310132 and 4? 310132 What is the smallest common multiple of 17458 and 142? 1239518 Calculate the least common multiple of 6 and 284115. 568230 Find the common denominator of 93/2 and -35/20614. 20614 Calculate the lowest common multiple of 126 and 630. 630 What is the least common multiple of 19940 and 21934? 219340 What is the least common multiple of 68303 and 818? 136606 What is the smallest common multiple of 34275 and 5? 34275 Find the common denominator of -149/54 and -103/5580. 16740 Calculate the common denominator of 59/461820 and -52/731215. 8774580 Calculate the common denominator of -41/18 and -143/444. 1332 What is the least common multiple of 4212 and 154? 324324 Calculate the common denominator of -109/259120 and -21/400. 1295600 Calculate the smallest common multiple of 954 and 11655. 1235430 Find the common denominator of 99/4 and -73/4456. 4456 What is th
{ "pile_set_name": "DM Mathematics" }
et k(n) = 3*n**2 - 5*n + 6. What is u*k(f) - 6*l(f)? 3*f**2 - f Let i(b) = 19*b**2 - 6*b - 74. Let y(o) = -39*o**2 + 12*o + 186. Calculate -5*i(z) - 2*y(z). -17*z**2 + 6*z - 2 Let f(w) = -w**2 + w - 1. Let i(s) be the first derivative of -7*s**3/3 + 2*s**2 + s - 2210. Give 5*f(v) - i(v). 2*v**2 + v - 6 Suppose 342 = 973*m - 859*m. Let s(o) = -2*o**3 - 5*o**2 + 3*o - 1. Let q(j) = -j**2 + j. Determine m*q(g) - s(g). 2*g**3 + 2*g**2 + 1 Let y(r) = -4*r + 1. Let u(n) = 15*n + 5*n - 3 - 11*n. Suppose 23*c = -193 + 239. Calculate c*u(p) + 5*y(p). -2*p - 1 Let r(l) be the first derivative of -l - 5082. Let k(z) = -5*z - 4. Suppose -3*q - 15 = -2*a, -20 = 4*q - 3*a + 6*a. What is q*r(g) + k(g)? -5*g + 1 Let y(p) = -7*p**2 - 26*p - 988. Let f(z) = 4*z**2 + 14*z + 497. Calculate 11*f(c) + 6*y(c). 2*c**2 - 2*c - 461 Let v(f) = 5*f + 2. Suppose 29*j = 148 + 1621. Let s be (1 + (-6)/14)*(-54 + j). Let b(x) = -135*x - 55. Determine s*b(y) + 110*v(y). 10*y Let j(f) be the second derivative of -f**3/6 + 2*f. Let t = 20106 - 20112. Let p(l) be the first derivative of -4*l**2 + 3*l - 1. Calculate t*j(a) + p(a). -2*a + 3 Let n(s) = -217*s**3 + 5*s**2 + 34*s - 10. Let j(i) = 106*i**3 - 2*i**2 - 17*i + 4. Determine 5*j(d) + 2*n(d). 96*d**3 - 17*d Let v(q) = 7*q**2 - 5*q - 7. Let g(l) = -6*l**2 + 4*l + 7. Let d be 0/(4/(-2)) + 34 + -166. Let n = d - -127. Determine n*g(i) - 4*v(i). 2*i**2 - 7 Let n(h) = -500*h + 752. Let z(l) = -250*l + 410. Give 6*n(y) - 11*z(y). -250*y + 2 Let y(b) = -3*b + 8. Let f(p) = -22*p - 554. Give -f(n) + 5*y(n). 7*n + 594 Let k(v) = 87*v**3 + 121*v**2. Let o(r) = -132*r**3 - 182*r**2. Determine -8*k(z) - 5*o(z). -36*z**3 - 58*z**2 Let z(a) = -a**2 + 3*a - 2. Let y = 370 + -372. Let p(t) = -3*t**2 + 7*t - 4. Suppose d - 5*m - 1 = -m, 0 = 5*m - 5. Calculate d*z(n) + y*p(n). n**2 + n - 2 Let f(b) = 16*b**3 + 4*b**2 + 10*b - 3. Let z(u) = -128*u**3 - 34*u**2 - 80*u + 25. Determine 17*f(i) + 2*z(i). 16*i**3 + 10*i - 1 Let i(r) = -38*r - 26402. Let y(d) = -7*d - 5282. Determine -3*i(l) + 16*y(l). 2*l - 5306 Let o(q) = 19*q**3 - 144*q**2 - 8*q + 53. Let b(x) = -5*x**3 + 36*x**2 + 2*x - 15. Calculate 15*b(w) + 4*o(w). w**3 - 36*w**2 - 2*w - 13 Let g(d) = 9*d**2 + 2*d - 2. Let n(f) = 339*f**2 + 83*f - 85. Let r(c) = -c**2 + 3*c - 4. Let y(q) = n(q) - 2*r(q). Calculate -154*g(m) + 4*y(m). -22*m**2 Let c(t) = -40*t**2 - 1060. Let u(v) = v**2 + 49. What is -c(w) - 12*u(w)? 28*w**2 + 472 Let m(v) = -7*v**2 - 19*v - 4. Let c(k) = 11*k**2 + 28*k + 6. Suppose -23514*f + 24 = -23511*f. Give f*m(w) + 5*c(w). -w**2 - 12*w - 2 Let r(o) = 4*o + 7. Let l(w) = 13*w + 20. Suppose 8*x - 5*b + 113 = 0, 0 = -20*x + 24*x - 5*b + 69. Give x*r(z) + 4*l(z). 8*z + 3 Let l(m) = 10*m + 42. Let y(p) = -4*p - 14. Let w(x) = 4*l(x) + 11*y(x). Let i(f) = -f + 5. Calculate 14*i(t) - 4*w(t). 2*t + 14 Let j(i) = i**2 - 6*i + 1. Let r(t) = 3*t**3 + 53*t**2 - 18*t - 9. What is 3*j(x) - r(x)? -3*x**3 - 50*x**2 + 12 Let q(g) = -6*g**2 + 233*g - 9. Let f(k) = 4*k**2 - 155*k + 6. Calculate 7*f(j) + 5*q(j). -2*j**2 + 80*j - 3 Let g(o) = 1. Let m be 165/150 + (-2)/20. Let u(v) be the second derivative of v**4/12 + v**3/3 + 9*v. Give m*u(n) + 3*g(n). n**2 + 2*n + 3 Suppose -1574 + 529 = 209*y. Let z(f) = 3*f**3 - 2*f**2 + f + 3. Let g(r) = -6*r**3 + 4*r**2 - 2*r - 6. Give y*z(p) - 3*g(p). 3*p**3 - 2*p**2 + p + 3 Let r(c) be the first derivative of -5*c**4 - 11*c**3/3 - 2*c**2 - 6*c - 1225. Let a(o) = -4*o**3 - 2*o**2 - o - 1. What is -11*a(z) + 2*r(z)? 4*z**3 + 3*z - 1 Let c(i) = -1. Let n(q) = -3 + 2 + 3*q + 6 + 1. Let b(j) = 4*j + 7. Let d(x) = -2*b(x) + 3*n(x). Suppose -61*u - 40 = -40 + 122. Calculate u*d(h) - 11*c(h). -2*h + 3 Let v(c) = 10*c**2 - 18*c + 17. Let r(u) = 12*u**2 - 20*u + 21. Let h(d) = 6*r(d) - 7*v(d). Let m(x) = 3*x**2 + 9*x + 11. Determine -7*h(n) + 5*m(n). n**2 + 3*n + 6 Let z(c) = -238*c**3 + 84*c - 84. Let b(a) = 14*a**3 - 5*a + 5. Suppose -764*f = -3*n - 761*f + 12, -f = -5*n + 24. Calculate n*z(k) + 84*b(k). -14*k**3 Let a(p) = -6*p**2 + 5*p - 5. Let y be (731/(-51))/(1/3). Let f = 43 + y. Let z(j) = 5*j - 3*j**2 + f - 2*j - 3. Determine -3*a(m) + 5*z(m). 3*m**2 Let n(o) = 1651*o**2 + 13*o. Let v(a) = a**2 + 2*a. Calculate -n(p) + 8*v(p). -1643*p**2 + 3*p Let u(d) = 25*d + 13. Let m(k) = 2*k + 1. Let y(a) = -3*m(a) + u(a). Let g(x) = -5*x + 44 - 27 - 20 - x. Determine -7*g(o) - 2*y(o). 4*o + 1 Let x(a) = a - 1. Let y(g) = 865*g**2 - g + 2. Let i be y(-1). Let d = 872 - i. Let f(w) = -2*w + 3. Calculate d*x(p) + f(p). 2*p - 1 Let u(s) = 4205*s**3 - 9*s**2 + 17*s. Let q(p) = -4206*p**3 + 8*p**2 - 15*p. Calculate 9*q(m) + 8*u(m). -4214*m**3 + m Suppose 397*q = 385*q - 11 - 1. Let j(h) = 2*h**2 + 4*h + 3. Let l(b) = b - 1. What is q*j(a) + 4*l(a)? -2*a**2 - 7 Let t(r) = -1665*r + 99. Let j(q) = 34*q - 338. Let s(w) = -102*w + 1182. Let g(k) = -7*j(k) - 2*s(k). Determine -198*g(d) + 4*t(d). 72*d Let x(h) = -330*h**3 - h**2 + 65*h + 13. Let u(o) = 110*o**3 - o**2 - 20*o - 4. Determine 13*u(l) + 4*x(l). 110*l**3 - 17*l**2 Let v(u) = 3*u**3 - 5. Let d(q) = q - 5. Let l be d(0). Suppose -2*z + 4 = 4*k + 16, -2*z + k = -23. Let p(n) = 4*n**3 - 8. What is l*p(c) + z*v(c)? 4*c**3 Let c(d) = -409*d**2 + 23220*d + 6. Let z(l) = -63*l**2 + 3870*l + 1. Determine -2*c(u) + 13*z(u). -u**2 + 3870*u + 1 Let j(x) = -9 + 132832*x**2 + 9*x - 132832*x**2 + 13*x**3. Let b(k) = -3*k**3 - 2*k + 2. Let t = -61 - -59. Give t*j(o) - 9*b(o). o**3 Suppose 61 = 6*d + 43. Let r be 1 + 2 + -6 + 5. Let o(v) = 3*v - 2 - r*v + d - 2*v. Let j(n) = 7*n - 6. Calculate j(k) + 5*o(k). 2*k - 1 Let v(o) = 132*o + 10. Let j(b) = -13*b + 2. Determine 3*j(h) + v(h). 93*h + 16 Let o(q) = -4*q - 34. Let j(h) = -3*h + 4 + 10 - 18 + 35 - 66. What is 6*j(l) - 5*o(l)? 2*l - 40 Let w(c) = 14*c + 206. Let f be w(-15). Let n(t) = 4*t + 15. Let d(x) = 2*x + 8. Suppose 5*v - 44 = -9. What is f*n(j) + v*d(j)? -2*j - 4 Let x(g) = -6*g**3 + 3*g**2 + g - 2. Let j(n) = 33*n - 118. Let o be j(4). Suppose -84 = o*w + 14*w. Let k(f) = 5*f**3 - 2*f**2 + 1. What is w*k(t) - 2*x(t)? -3*t**3 - 2*t + 1 Let k(g) = 1278*g**2 - 5*g + 5. Let r(j) = 16624*j**2 - 64*j + 64. Determine -64*k(y) + 5*r(y). 1328*y**2 Let p(i) = 8*i**2 + 28*i - 699. Let s(v) = -2*v**2 - 5*v. What is -p(h) - 6*s(h)? 4*h**2 + 2*h + 699 Let z be (-8)/(2 + -6)*16/(-8). Let x be (5 - 3)*-5 - 24/z. Let f(t) = 2*t + 1. Let g(k) = -k. Give x*g(m) - f(m). 2*m - 1 Let t(g) = -1217*g**3 - 6*g**2 + 3*g. Let l(v) = 1218*v**3 + 9*v**2 - 4*v. Give -2*l(p) - 3*t(p). 1215*p**3 - p Let l(n) = -30*n. Let x = -342 - -346. Let k(j) = 35*j + 5. Let a(o) = -32*o - 4. Let p(r) = x*k(r) + 5*a(r). Calculate 5*l(i) - 8*p(i). 10*i Let v(y) = 173*y + 262. Let j(s) = -346*s - 488. What is -6*j(w) - 11*v(w)? 173*w + 46 Let n(a) = -a**3 + 3*a**2 - a + 1. Let j(k) = -4*k**3 - 46*k**2 - 15*k + 7. What is -j(s) + 5*n(s)? -s**3 + 61*s**2 + 10*s - 2 Let o(j) = 21*j**2 + 9*j. Let h(y) = 51*y - 75*y + 22*y + y**2 - 6*y**2. Calculate -18*h(a) - 4*o(a). 6*a**2 Let y(l) = -6 - l + 37 - 15 - 3. Let m(b) = 6*b - 64. Give 2*m(v) + 11*y(v). v + 15 Let g(i) = -8*i**3 - 81*i**2 - 3*i + 73. Let o(t) = 5*t**3 + 40*t**2 + 2*t - 42. What is 4*g(y) + 7*o(y)? 3*y**3 - 44*y**2 + 2*y - 2 Let d(a) = 9*a. Let u = -321 + 267. Let b be (-2)/4 + 297/u. Let f(i) = 3*i + 0*i + 5*i. Give b*d(r) + 7*f(r). 2*r Let c(a) = -56*a**2 + 2*a. Let v(g) = g**3 - 94*g + 253. Let o be v(3). Let w(q) = 560*q**2 - 21*q. Determine o*w(f) - 21*c(f). 56*f**2 Let o(k) = k. Let i(f) = f**3 + 2*f**2 - 2*f + 7. Let l be i(-3). Let q(v) = v + 1. Let d(w) = -2*w. Let s(b) = -d(b) - 5*q(b). Give l*o(x) + s(x). x - 5 Let v(p) be the second derivative of -p**4/3 + 7*p**3/6 - 127*p + 2. Let w(m) = -2*m**2 + 3*m. Determine 2*v(x) - 5*w(x). 2*x**2 - x Let u(o) = 5*o**3 + 4*o**2 - 7*o + 4. Let m(k) = -6*k**3 - 3*k**2 + 50*k - 5. Give 2*m(b) + 3*u(b). 3*b**3 + 6*b**2 + 79*b + 2 Let o(h) = 3*h**2 - 22*h + 145. Let q(n) = -n**2 + 7*n - 51. Give -6*o(y) - 17*q(y). -y**2 + 13*y - 3 Let a(w) = -5*w - 4. Let u(f) = 5*f + 5. Let d(n) = 3*n**2 - 2*n + 1. Let k be d(1). Suppose i - 5*r + 10*r - 14 = 0, 2*i = -k*r + 12. Give i*u(z) + 5*a(z). -5*z Let o(j) = 3*j**2 + 5*j - 1. Let s(r) = 20*r - 5. Let x(q) = -5*o(q) + s(q). Let p(c) = -22*c**2 - 8*c. Calcula
{ "pile_set_name": "DM Mathematics" }
hen 14586 is divided by 98. 82 Calculate the remainder when 1188122 is divided by 6524. 754 What is the remainder when 136650 is divided by 1262? 354 What is the remainder when 102561 is divided by 51252? 57 Calculate the remainder when 53866 is divided by 26203. 1460 What is the remainder when 146837059 is divided by 24? 19 Calculate the remainder when 10610129 is divided by 286760. 9 What is the remainder when 786769 is divided by 65412? 1825 Calculate the remainder when 496025 is divided by 7278. 1121 Calculate the remainder when 14073014 is divided by 265528. 30 What is the remainder when 51062712 is divided by 53581? 19 What is the remainder when 281956354 is divided by 748? 746 What is the remainder when 11427 is divided by 3116? 2079 What is the remainder when 40805479 is divided by 63? 1 Calculate the remainder when 4261188 is divided by 11424. 36 Calculate the remainder when 309976 is divided by 452. 356 Calculate the remainder when 84766130 is divided by 124473. 17 What is the remainder when 524769 is divided by 157? 75 What is the remainder when 8658121 is divided by 2886011? 88 Calculate the remainder when 10971668 is divided by 20. 8 What is the remainder when 87495 is divided by 3401? 2470 Calculate the remainder when 91633 is divided by 9161. 23 Calculate the remainder when 22539648 is divided by 1142. 1136 What is the remainder when 42467 is divided by 42457? 10 Calculate the remainder when 35483 is divided by 12. 11 Calculate the remainder when 16865 is divided by 935. 35 Calculate the remainder when 36180 is divided by 11497. 1689 What is the remainder when 1136554 is divided by 1478? 1450 What is the remainder when 73979258 is divided by 14795845? 33 What is the remainder when 1365138864 is divided by 1102? 1100 Calculate the remainder when 4013990 is divided by 573416. 78 Calculate the remainder when 5218730 is divided by 965. 10 Calculate the remainder when 42335 is divided by 10064. 2079 Calculate the remainder when 327832 is divided by 81910. 192 What is the remainder when 77450 is divided by 10687? 2641 What is the remainder when 15270153 is divided by 70? 3 What is the remainder when 113972 is divided by 56678? 616 Calculate the remainder when 25092705 is divided by 896167. 29 Calculate the remainder when 130462 is divided by 1098. 898 What is the remainder when 2790644 is divided by 2058? 2054 Calculate the remainder when 1982619 is divided by 1809. 1764 Calculate the remainder when 7441934 is divided by 1346. 1246 Calculate the remainder when 3798467 is divided by 1266149. 20 What is the remainder when 2464647 is divided by 3863? 53 What is the remainder when 3659096 is divided by 288? 56 Calculate the remainder when 415133 is divided by 18869. 15 Calculate the remainder when 78840 is divided by 893. 256 Calculate the remainder when 86236 is divided by 218. 126 What is the remainder when 24354 is divided by 640? 34 What is the remainder when 13394 is divided by 753? 593 Calculate the remainder when 1400580 is divided by 29. 25 Calculate the remainder when 202155 is divided by 18358. 217 What is the remainder when 7130055 is divided by 15433? 9 What is the remainder when 88685 is divided by 2455? 305 What is the remainder when 3823 is divided by 2886? 937 Calculate the remainder when 6330538 is divided by 1266105. 13 Calculate the remainder when 4593476 is divided by 701. 524 Calculate the remainder when 15683 is divided by 5233. 5217 Calculate the remainder when 1201294 is divided by 3355. 204 What is the remainder when 151338234 is divided by 383? 380 Calculate the remainder when 13383254 is divided by 86904. 38 What is the remainder when 751769 is divided by 2299? 2295 Calculate the remainder when 6856121 is divided by 2010. 11 What is the remainder when 1887900 is divided by 620? 0 Calculate the remainder when 1998787 is divided by 166565. 7 Calculate the remainder when 544990 is divided by 7. 5 What is the remainder when 71990773 is divided by 97? 89 Calculate the remainder when 258809 is divided by 1449. 887 Calculate the remainder when 2238469 is divided by 5682. 5443 Calculate the remainder when 38411 is divided by 17230. 3951 Calculate the remainder when 2153 is divided by 1525. 628 Calculate the remainder when 8640 is divided by 3690. 1260 What is the remainder when 8165495 is divided by 1633092? 35 Calculate the remainder when 2120955 is divided by 1953. 1950 Calculate the remainder when 172599469 is divided by 31. 25 Calculate the remainder when 1063745 is divided by 13465. 10 Calculate the remainder when 154629697 is divided by 3. 1 Calculate the remainder when 11645639 is divided by 2983. 7 What is the remainder when 919796 is divided by 2943? 1580 Calculate the remainder when 55664395 is divided by 1934. 7 What is the remainder when 1137038 is divided by 325? 188 Calculate the remainder when 2020816 is divided by 441. 154 Calculate the remainder when 182088 is divided by 11362. 296 Calculate the remainder when 10994615 is divided by 511. 450 What is the remainder when 861665 is divided by 467? 50 What is the remainder when 1159366 is divided by 64392? 310 What is the remainder when 17606618 is divided by 108016? 10 Calculate the remainder when 18691772 is divided by 1699249. 33 What is the remainder when 8370452 is divided by 1418? 1416 What is the remainder when 82038029 is divided by 1245? 1244 Calculate the remainder when 3158423 is divided by 4800. 23 What is the remainder when 2620153 is divided by 163759? 9 Calculate the remainder when 2871216 is divided by 60. 36 What is the remainder when 27458366 is divided by 67? 24 Calculate the remainder when 11854232 is divided by 1317129. 71 What is the remainder when 21166725 is divided by 65? 60 What is the remainder when 217560158 is divided by 417? 416 What is the remainder when 3311699 is divided by 20? 19 What is the remainder when 40466632 is divided by 295? 7 What is the remainder when 3658164 is divided by 215186? 2 What is the remainder when 105538 is divided by 10950? 6988 What is the remainder when 68156672 is divided by 63? 59 Calculate the remainder when 69782818 is divided by 2247. 2233 What is the remainder when 1070710 is divided by 441? 403 What is the remainder when 637996 is divided by 637865? 131 What is the remainder when 1237070 is divided by 359? 315 Calculate the remainder when 123155023 is divided by 3240921. 25 Calculate the remainder when 251847 is divided by 4010. 3227 Calculate the remainder when 547416 is divided by 7123. 6068 Calculate the remainder when 46756 is divided by 51. 40 Calculate the remainder when 239977 is divided by 326. 41 Calculate the remainder when 6496079 is divided by 749. 2 Calculate the remainder when 7446634 is divided by 141. 1 What is the remainder when 192783 is divided by 64257? 12 Calculate the remainder when 277486670 is divided by 7265. 7260 What is the remainder when 156405910 is divided by 78202952? 6 Calculate the remainder when 1198729 is divided by 54. 37 Calculate the remainder when 14746798 is divided by 228. 214 Calculate the remainder when 235700501 is divided by 31. 30 What is the remainder when 8293456 is divided by 281? 22 What is the remainder when 2204221 is divided by 3412? 69 What is the remainder when 669505 is divided by 565? 545 What is the remainder when 389167 is divided by 97269? 91 What is the remainder when 679553 is divided by 1162? 945 Calculate the remainder when 120226569 is divided by 7860. 9 What is the remainder when 78846762 is divided by 35043? 12 What is the remainder when 50306 is divided by 23505? 3296 Calculate the remainder when 4449387 is divided by 185371. 483 Calculate the remainder when 11858364 is divided by 2752. 2748 Calculate the remainder when 17469996 is divided by 27. 24 Calculate the remainder when 290261 is divided by 3870. 11 Calculate the remainder when 2245918982 is divided by 521. 518 Calculate the remainder when 71820 is divided by 1217. 17 Calculate the remainder when 23735641 is divided by 51. 37 What is the remainder when 32543 is divided by 118? 93 What is the remainder when 1744722 is divided by 25? 22 What is the remainder when 677605 is divided by 338802? 1 What is the remainder when 1507347 is divided by 37? 4 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
Suppose r + 12 = 5*r, 4*p + l*r - 58 = 0. What are the prime factors of p? 13 Let m be (3*1)/((-8)/(-32)). Suppose 0 = -l - 2*o + 6 - 0, -5*o + 12 = l. Suppose -h + m = l*h. List the prime factors of h. 2 Suppose 0 = 2*m - 62 - 26. Suppose -m = -5*n + n. List the prime factors of n. 11 Let z(k) = 19*k + 32. List the prime factors of z(5). 127 Suppose -4*t + 8 = -0*t. Suppose t*d - 34 = 36. List the prime factors of d. 5, 7 Let s(j) = -8*j - 1. Let k(w) = w**3 - 14*w**2 + 13*w - 2. Let a be k(13). What are the prime factors of s(a)? 3, 5 Suppose -2*d = -0*d - 40. Let t = 39 - d. What are the prime factors of t? 19 Let j = -17 + 148. What are the prime factors of j? 131 Suppose -94 = -192*m + 190*m. What are the prime factors of m? 47 Suppose 15*l - 264 = 11*l. What are the prime factors of l? 2, 3, 11 Let f(q) = 9*q**2 - 6*q - 6. What are the prime factors of f(-3)? 3, 31 Suppose -3*a = 2*p - 169, -a + 43 = -2*p - 0*p. Suppose a + 4 = 5*u + z, 0 = z - 2. What are the prime factors of u? 11 Suppose -140 = 5*o - 0*o. Let r be o/(-6) + (-5)/(-15). Suppose 5 = 3*a + r*b - 22, 0 = -2*a + 2*b + 2. What are the prime factors of a? 2 Suppose 3*u = 4*z - 123, 0 = 4*u + u - 15. Suppose 3*p = 5*l + 57 - 0, 0 = -p - 3*l + z. What are the prime factors of p? 2, 3 Suppose 3*c - 4 = 5*q, -2 = -0*q - 5*q + c. Let m be q/2 + 1/(-2). Suppose -2*a - 2*a + 24 = m. List the prime factors of a. 2, 3 Let y = 3 - 3. Suppose y = -q + f + 4 + 7, 5*f + 15 = q. List the prime factors of q. 2, 5 Let l(j) = -69*j - 117. List the prime factors of l(-6). 3, 11 Let f(o) = 14*o**2 - 2*o - 3. Let m be f(-2). Suppose 0 = 3*u - t - 30, 5*t + 3 + m = 5*u. List the prime factors of u. 3 Suppose h + 192 + 243 = 4*y, 4*h = 4. List the prime factors of y. 109 Let a(n) = n - 7. Let k be a(10). Let o(m) = 4*m - 10. What are the prime factors of o(k)? 2 Let l be (-9)/(-15) + (-3)/5. Suppose -4*j + 84 - 16 = l. What are the prime factors of j? 17 List the prime factors of (2 - 2 - (-1 + 0)) + 152. 3, 17 Suppose 0 = -4*z + 44 + 36. What are the prime factors of z? 2, 5 Let o(a) = -a**2 + 9*a - 5. List the prime factors of o(6). 13 Let o = 359 - 164. Suppose o = 5*q + 60. Let b = -14 + q. What are the prime factors of b? 13 Suppose 0 = 5*k - 2 - 8. Let a(v) = -v + 9 - 4 + 3 - v**k + 6. What are the prime factors of a(0)? 2, 7 Suppose 0 = -142*p + 145*p - 312. What are the prime factors of p? 2, 13 Suppose 19 + 59 = 3*q. What are the prime factors of q? 2, 13 Let v(o) = 32*o**2 - o + 1. Let l be v(1). Suppose 5*y - 2*m - 46 = 3*y, -y + 4*m + l = 0. What are the prime factors of y? 2, 5 Let x be 0 - (0/2)/(-1). Suppose 7 = -s + 3*d, x = -4*s - 3*d + 52 - 20. List the prime factors of s. 5 Let j be (-1)/(-4) + (-300)/(-16). Suppose 4*f + j = 3*p - 35, -3*p + 6 = 0. What are the prime factors of 9/f + 78/8? 3 Suppose -5*r - 28 = -w, 3*w + 0*w - 2*r = 19. Suppose 5*t - 11 = -w*n, -3 = -2*n + t + 13. Let l = n + -2. What are the prime factors of l? 5 Let n(p) = -p**3 + 2*p**2 - p + 1. Let f be n(2). Let a be 4 + 31 + f*2. Suppose 8 = m + 3*g, g - a = -5*m + 21. List the prime factors of m. 11 Suppose -2*w - 3*w = -45. Suppose -w = -2*y - y. Suppose -5*s = -y*b - 81, b = 2*s - 0*s - 33. List the prime factors of s. 2, 3 Let a(l) = l + 6. Suppose -v - 7 = 3*g - 4, 4*v + 12 = 0. List the prime factors of a(g). 2, 3 List the prime factors of 47 - (3 + (4 - 7)). 47 Let j be 6/(-4)*(-4 + 2). Suppose 5*b - j*p - 81 = -2*p, -2*b + 31 = p. List the prime factors of b. 2 Suppose -n - 3 = -4*n + 5*b, 5*n - 2*b = -14. Let s be 15/(-20) + (-23)/n. Suppose -1 = -o + s*q + 32, o - 25 = 3*q. List the prime factors of o. 13 Let v(z) = 0 + z**3 - z + 2 + 3*z**2 + 3*z**2 - z**2. List the prime factors of v(-5). 7 Suppose w = 6*w - 20. Suppose -d = -w*d. Suppose -5*r + 2*c + 56 = 0, 25 = r - 5*c - d*c. What are the prime factors of r? 2, 5 Let k = -2 + 17. Let y(o) = -o**2 + 6*o - 1. Let t be y(5). Suppose -t*q - 9 = -3*f, -5*f + q + 4*q + k = 0. What are the prime factors of f? 3 Suppose -5*g = 9 + 11, 2*s = 2*g + 12. Suppose s*l - 9 = 1. Suppose -l*z + 45 = -0*z. List the prime factors of z. 3 Let l = 11 - 26. List the prime factors of (-5)/2*48/l. 2 Let t = -1 - -1. Suppose -3 = -t*p - p. Suppose 5*a - c - 17 = 10, c = p*a - 17. List the prime factors of a. 5 Let g = -8 - -17. Let k = 13 - g. Let c(o) = -o**2 + 8*o - 2. List the prime factors of c(k). 2, 7 Let j = 1 - 5. Let g(t) = -t - 7. Let l be g(j). What are the prime factors of (1 - -1)/((-2)/l)? 3 Let u(m) be the second derivative of m**4/12 - m**3/6 - 3*m**2/2 + m. What are the prime factors of u(3)? 3 Let t = -116 + 43. List the prime factors of (-3 - (0 - t))/(-2). 2, 19 Let d be (-266)/(-63) - 2/9. Suppose 18 = 4*j - 3*r - 42, 5*j + d*r - 44 = 0. What are the prime factors of j? 2, 3 Suppose 3*o + 3 = -q - 2*q, o - 2*q = 14. Let r(w) = w. Let n be r(o). Suppose -n*x + 18 = -6. List the prime factors of x. 2, 3 List the prime factors of (2 - 5 - -4) + 51. 2, 13 Let c = 54 - -46. List the prime factors of c. 2, 5 Let z(o) = -65*o**2 + 4*o - 3. Let m be z(2). What are the prime factors of ((-2)/6)/(5/m)? 17 Suppose -2*m = 2 - 8. Suppose 2*v + 23 = -m*x + 106, 4*x - 2*v - 106 = 0. What are the prime factors of x? 3 Let l(h) = 6*h + 8 + 0 - 2*h + h**2. Let y(o) = o**2 - 5*o - 6. Let c be y(5). What are the prime factors of l(c)? 2, 5 Suppose -20 = t + 2*n, 25 = -3*t + 4*n - 3*n. Let s(g) = -7*g. Let a be s(-2). Let i = t + a. List the prime factors of i. 2 Let a be 6/21 + 108/14. Let l = a - -3. What are the prime factors of l? 11 Suppose 7*t - 2*t - 155 = -5*c, 3*c - 109 = 5*t. Let i = 48 - c. List the prime factors of i. 3, 5 Let v(z) = 9*z + 21. List the prime factors of v(7). 2, 3, 7 Suppose -4*x + 31 = -821. List the prime factors of x. 3, 71 Suppose 3 = 3*g - 4*g - t, -5*t = 4*g + 17. Suppose 3*k = -4*c + 2*k + 99, -2*c = g*k - 54. List the prime factors of c. 2, 3 Suppose -15*z + 3*z + 1656 = 0. List the prime factors of z. 2, 3, 23 Let r(o) = o**3 + 4*o**2 - 7*o - 7. Let i be r(-5). Suppose -t = -i*t + 6. List the prime factors of t. 3 Let t(z) = z**2 + 3*z - 8. List the prime factors of t(4). 2, 5 Let q(s) = 32*s + 10. List the prime factors of q(4). 2, 3, 23 Let y(j) = -3*j - 7. Let h be y(8). Let o = h - -63. List the prime factors of o. 2 Let t(s) = -s**3 - 7*s**2 - s - 2. Let a be t(-7). Suppose a*w + 1 = 11. List the prime factors of w. 2 Suppose -5*m + 70 = i, -5*m + 115 = -3*i + 5*i. What are the prime factors of i? 3, 5 Suppose v + v = 5*n + 59, -v - 3*n = -13. What are the prime factors of v/4 - (-1)/(-2)? 5 Let q = 125 + -71. Let y = -30 + q. Suppose 2*w + 2*w = y. List the prime factors of w. 2, 3 Let t(h) = -3*h - 11. Let r = -8 + -1. What are the prime factors of t(r)? 2 Let l(o) = -o**2 + 8*o + 6. Let u be l(7). Suppose 0 = -2*h + u + 9. List the prime factors of h. 11 Suppose -4*w = -7 + 71. Let m = 29 + w. List the prime factors of m. 13 Let x(c) = c**2 - 5*c + 2. Let v be x(4). List the prime factors of (14/(-4) + -1)*v. 3 Let m = -19 + 67. List the prime factors of m. 2, 3 Suppose -x - 52 = -5*x. Let z = -3 + x. List the prime factors of z. 2, 5 Suppose -a + 186 + 8 = 0. List the prime factors of a. 2, 97 Let d = 6 - 1. Suppose 0 = -5*g + z + 165 + 39, d*z + 77 = 2*g. What are the prime factors of g? 41 Let h = -40 + 122. List the prime factors of h. 2, 41 Let c be (0 - -2)*(-13)/(-2). Suppose 4*d - c = 83. List the prime factors of d. 2, 3 Suppose -13*j + 342 = -7*j. What are the prime factors of j? 3, 19 Let q(j) = -j**2 + 6*j + 13. Let z be q(6). Let a(t) = -t + 18. What are the prime factors of a(z)? 5 What are the prime factors of (1/(-2))/(10/(-4820))? 241 Suppose 5*p + 4*l + 267 = 1045, p + 2*l - 152 = 0. What are the prime factors of p? 2, 79 Suppose 25 - 5 = 5*x. List the prime factors of x. 2 Let y = -4 + -24. Let r = -18 - y. What are the prime factors of r? 2, 5 Suppose -p + 124 = 5*f - 0*p, 55 = 2*f - 5*p. Let x be (-2 + (1 - f))/2. List the prime factors of 2 - (x + 3/1). 2, 3 Let x = 0 + 0. Suppose -2*r + 7*r - 80 = x. List the prime factors of r. 2 Let p(l) be the second derivative of -1/20*l**5 + 1/2*l**3 + 3*l + 0 - 7/2*l**2 - 1/3*l**4. What are the prime factors of p(-5)? 3 Let m = 164 + 69. What are the pri
{ "pile_set_name": "DM Mathematics" }
tive of 0*l**2 - 4/3*l**3 - 11*l - 1. Differentiate s(u) wrt u. -8*u Let h(j) = 8*j + 3. Let k be h(-2). Let y = k - -15. What is the second derivative of 6*d - 7*d - y*d**5 - 3*d wrt d? -40*d**3 Let o(m) = 59*m - 6. Let y(n) = 2*n. Let x(p) = -o(p) - 6*y(p). What is the derivative of x(s) wrt s? -71 Let u(a) = a**3 - 4*a**2 + a - 2. Let w be 2 + ((-8)/(-4) - 0). Let s be u(w). Differentiate -q**2 - 2*q**s - q**2 + q**2 - 1 with respect to q. -6*q Differentiate -23*h**2 + 53*h**2 - 30*h**2 - 1 - 52*h**3 with respect to h. -156*h**2 Let n(l) = l**3 + 4*l**2 + 6*l + 6. Let p be n(-2). What is the derivative of -5*g**2 - 15 + 8*g**2 - 9*g**p wrt g? -12*g Find the third derivative of -18*t**3 + 60 - 60 + 57*t**3 + 356*t**2 + 151*t**3 wrt t. 1140 Let a(k) be the second derivative of -1/3*k**4 + 0*k**3 + 0 + 3/5*k**5 - 17*k + 0*k**2. What is the third derivative of a(y) wrt y? 72 Let r(n) be the second derivative of n**3/6 + 5*n**2 - 7*n. Let i be r(-6). Find the second derivative of 2*v - 11*v - 6*v**i - 2*v**4 wrt v. -96*v**2 Let x(l) be the first derivative of -l**2/2 + 27*l + 4. Let c be x(0). Find the first derivative of c*t**2 + 0 - 27*t**2 - t**3 - 3 wrt t. -3*t**2 What is the second derivative of -48*z - 16*z**3 + 5*z**4 + 41*z**3 - 31*z**3 wrt z? 60*z**2 - 36*z What is the second derivative of 5 - v**3 + 26*v + 23*v - 81*v + 23*v + 65*v**2 wrt v? -6*v + 130 Let n(b) = 11 - 5*b - 7 - 5 - 5*b. Let w(f) = 9*f + 1. Let a(k) = -5*n(k) - 6*w(k). Differentiate a(z) wrt z. -4 Let h(l) be the second derivative of 0*l**6 + 0 + 0*l**2 + 12*l + 3/56*l**8 - 5/12*l**4 + 0*l**3 + 0*l**5 + 0*l**7. Find the third derivative of h(p) wrt p. 360*p**3 Suppose 5*j + 6 = 21. What is the first derivative of -j*v**3 + 5 - 2*v**3 + 4 + 2 wrt v? -15*v**2 What is the third derivative of -221*h**4 + 33*h + 17*h**2 + 27*h**2 - 34*h wrt h? -5304*h Suppose f - 28 = -6*f. What is the first derivative of -3*h - f*h - 5*h - 6 + h wrt h? -11 Let k(p) = 813*p + 1807. Let u(b) = 407*b + 909. Let c(z) = -3*k(z) + 5*u(z). What is the derivative of c(n) wrt n? -404 Find the second derivative of -5*l + 12 + 2*l**4 - 40*l - 13 - 13*l**3 - 47*l wrt l. 24*l**2 - 78*l Let w(k) = -41*k**2 + 9*k. Let z be 1595/121 - 4/22. Let c(l) = -20*l**2 + 5*l. Let v(j) = z*c(j) - 6*w(j). What is the second derivative of v(h) wrt h? -28 Suppose 2*x - 17 = -53. Let d = x + 21. Find the third derivative of 2*w**3 - w**3 - 6*w**2 + w**d wrt w. 12 Let p(n) be the second derivative of -17*n**6/120 - 11*n**3/6 + 17*n**2/2 - 12*n. Let l(u) be the first derivative of p(u). Differentiate l(y) wrt y. -51*y**2 Let g(h) = -h**3 + 5*h**2 - 5*h + 6. Let x be g(4). Differentiate 27*l**x - 66 + 22 + 24 with respect to l. 54*l Let d(t) be the first derivative of 3*t**4 + 3/2*t**2 + 0*t - 9 + 0*t**3. What is the second derivative of d(r) wrt r? 72*r Let h(x) be the second derivative of 2*x**7/35 - 13*x**4/24 + 8*x**2 - 9*x. Let i(n) be the first derivative of h(n). Find the second derivative of i(s) wrt s. 144*s**2 Let c be 2 + 7/((-2)/(-2)). Suppose 5*p = 3*y + 6*p - 6, 12 = -4*p. What is the derivative of 0 + j**3 - c*j**y + 6 wrt j? -24*j**2 Let n be ((-2)/((-2)/(-19)))/(-1). What is the second derivative of -19*r**2 + n*r**2 - 18*r + 8*r**5 wrt r? 160*r**3 Let q(s) be the third derivative of s**8/840 + s**5/15 - s**4/3 - 21*s**2. Let y(f) be the second derivative of q(f). What is the derivative of y(l) wrt l? 24*l**2 Let w(v) = v**3 + 2*v**2 - 1. Let a(q) = 14*q**3 - 6*q**2 + q - 5. Let r(k) = 2*a(k) + 6*w(k). What is the second derivative of r(n) wrt n? 204*n Let v be 1 + -2 + (1 - -2). Find the second derivative of 71*x + v*x**4 - 84*x + 2*x**4 wrt x. 48*x**2 Suppose -4*x + 15*x - 44 = 0. Find the second derivative of 17*g - 9*g + x*g**5 - 9*g**5 wrt g. -100*g**3 Differentiate -n + 68*n**3 + 267 - 325 + 383 wrt n. 204*n**2 - 1 Let x(a) be the first derivative of 94*a**5/5 - a**4/2 - 81*a**2/2 + a + 792. Find the second derivative of x(y) wrt y. 1128*y**2 - 12*y Let j(v) be the second derivative of -359*v**4/6 - 181*v**2/2 - 227*v. Differentiate j(r) with respect to r. -1436*r Let v(q) be the third derivative of -11*q**7/105 - q**6/60 - 89*q**5/60 + 5*q**2 - 26*q. What is the third derivative of v(t) wrt t? -528*t - 12 Suppose 5*u - g - 293 = 0, 0*g = -3*u - 3*g + 165. Find the second derivative of -58 + u - 4*l**3 - 5*l**3 - 16*l wrt l. -54*l Suppose f = 5*t + 5*f - 14, 7 = 5*t - 3*f. Suppose 3*q + 5*z = t*z - 6, q - 4*z = 18. Find the first derivative of 4*b**2 + 8*b**q + 17 - 2*b**2 - 3 wrt b. 20*b Let x(g) be the first derivative of g**6/3 - g**4/2 - 76*g**3 - 22. Find the third derivative of x(z) wrt z. 120*z**2 - 12 Suppose 0 = -3*y - 3*m + 15, -5*y + 5*m + 10 = -5. Suppose -50 = -7*k - 3*k. Find the second derivative of 4*x**k + y + 3*x - 4 + 3*x wrt x. 80*x**3 Let g(l) = l**3 + 5*l**2 - 5*l. Let w be g(-5). Suppose 0 = -4*b + w - 9. What is the first derivative of 2*q**b + 4*q**4 - 18 + 16 wrt q? 24*q**3 Find the third derivative of -274*b**6 + 6 + 160*b**2 - 161*b**2 - 6 + 12 wrt b. -32880*b**3 Let z(w) = -19*w + 7. Let n be z(2). Let c = n + 34. What is the third derivative of -8*j**2 - 2*j**2 - 2*j**c + 4*j**2 wrt j? -12 Let v(q) be the third derivative of q**9/72 + q**7/42 + q**5/20 + 55*q**3/2 - q**2 - 154*q. What is the third derivative of v(u) wrt u? 840*u**3 + 120*u Let z(x) = -x**3 + x**2 - x + 1. Let c(i) = 85*i**4 - 5*i**3 + 5*i**2 - 5*i - 57. Let q(t) = -c(t) + 5*z(t). Differentiate q(w) wrt w. -340*w**3 Let s(n) be the third derivative of n**7/70 - n**5/12 + 107*n**3/6 + 399*n**2. Find the first derivative of s(c) wrt c. 12*c**3 - 10*c Let z be (9/(-2))/((-15)/20). What is the third derivative of 14*h**6 - 184*h**2 + 27*h**z + 215*h**2 wrt h? 4920*h**3 Let w(r) be the second derivative of 29*r**5/10 + r**4/12 + 5*r**2 - 110*r. What is the derivative of w(k) wrt k? 174*k**2 + 2*k Let w(k) be the second derivative of -65*k**5/4 - k**4/6 + 34*k**3/3 + 376*k. What is the third derivative of w(y) wrt y? -1950 Let l(j) be the second derivative of -j**7/35 - 3*j**5/10 - 10*j**2 + 9*j. Let k(u) be the first derivative of l(u). Find the third derivative of k(p) wrt p. -144*p Let c(q) be the second derivative of -20*q**3/3 + 55*q**2/2 - 84*q. Differentiate c(r) with respect to r. -40 Let t(l) be the third derivative of 61*l**7/35 - 15*l**4/4 - 18*l**2 - 5*l. Find the second derivative of t(d) wrt d. 4392*d**2 Let c = 4 - -2. What is the third derivative of 3*b**4 + c*b**2 - 10*b**4 + 9*b**2 - 6*b**4 wrt b? -312*b Differentiate 90 + 84 - 786 + 48*x + 193*x - 21*x with respect to x. 220 Let u(y) be the third derivative of y**9/252 + 19*y**7/210 - y**5/20 - 7*y**4/8 + 2*y**2 + 54*y. Find the third derivative of u(i) wrt i. 240*i**3 + 456*i Suppose 358*v - 353*v = 10. Find the second derivative of -5*p**2 + 50*p - p**2 - v*p**2 - p**3 wrt p. -6*p - 16 Let y(z) = -2*z**2 + 4*z + 73. Let g(r) = r**2 - 3*r - 75. Let d(o) = -3*g(o) - 2*y(o). Find the first derivative of d(i) wrt i. 2*i + 1 Let f be (0 - 15/5) + (10 - -1). Find the second derivative of 18*t**4 + 11*t**5 - 10*t**4 + 9*t - f*t**4 wrt t. 220*t**3 What is the third derivative of -396*r - 431*r + 936*r + 282*r**4 - r**2 wrt r? 6768*r Let q(y) be the third derivative of 41*y**7/15 + 287*y**3/3 + 3*y**2 + 129*y. What is the first derivative of q(z) wrt z? 2296*z**3 Suppose -71 = 4*v - 195. Find the second derivative of -9*g + 22*g + v*g**4 - 7*g wrt g. 372*g**2 Let k(v) be the first derivative of 5/12*v**4 + 2 - 5/2*v**2 + v + 0*v**3. Let r(q) be the first derivative of k(q). What is the first derivative of r(s) wrt s? 10*s Let r(c) = 2*c + 6. Let k(i) = 147*i + 123. Let f(u) = 3*k(u) - 21*r(u). What is the first derivative of f(g) wrt g? 399 Let o(q) be the second derivative of q**4/4 + 10*q**3/3 + 107*q**2 - 7*q - 5. Find the first derivative of o(n) wrt n. 6*n + 20 Let k(j) be the third derivative of -35*j**5/12 + 355*j**3/6 - 376*j**2. Find the first derivative of k(q) wrt q. -350*q Find the third derivative of 13*c - 11*c - 92*c**5 + 222*c**2 - 147*c**2 - 44*c**5 wrt c. -8160*c**2 Differentiate -9 + 44*w - 22 + 16*w + 9 wrt w. 60 Let v = -472 + 817. Let f be v/60 - (-2)/8. Differentiate f - 9*g**4 - 22 + 5 with respect to g. -36*g**3 Let l(a
{ "pile_set_name": "DM Mathematics" }
pose 31 - 206 = -25*s. Solve -5*x - s = -j + 8, 4*x - 2*j + q = 0 for x. -4 Suppose -2*t - 4*d + 2 = 0, -3 + 0 = -3*t + 4*d. Let q(n) = 3*n**3 + 6*n**2 - 7*n + 1. Let y be q(1). Solve 4*f = y*r - 6, -r - 2*f = -1 - t for r. 2 Let r(n) = -n**3 + 10*n**2 - 8*n - 6. Let u be r(9). Let w = -593 + 598. Solve 2*t + u = -3*i - 8, -5*t = -w*i - 10 for i. -3 Let k = 19 - 17. Let z be (-5)/(5/2) - -4. Let n be k/((-4)/(-2)) + z. Solve 0 = -2*d - 3*x + 5, -n*d + 0 = x + 10 for d. -5 Let c(b) be the second derivative of -b**5/20 + 4*b**4/3 - 5*b**3/2 + 9*b**2/2 - 8*b. Let y be c(15). Solve -1 = 3*g + 2*q, 0 = q - 4 + y for g. 3 Let z(d) = 6*d**2 - 2*d - 3. Let k be z(-2). Suppose 0 = 17*h - k*h + 32. Solve -h*o + 3*t = o + 16, 5*o = 2*t - 19 for o. -5 Suppose -3*o = -x + 5, 4*x = 7*x + o - 5. Solve b - x = a - 6, 0 = -4*a - 4 for b. -5 Suppose 5*z = -5*m, -2*m + z - 2*z - 2 = 0. Let r be (-28)/(-6) + 2*m/(-12). Solve -4*f + 6 = -w + 21, r*f = -25 for w. -5 Let x be -7 + 9 + 0/1. Let u = 2 - 2. Let t be 12 + u + 6/x. Solve -4*y = -2*y - 5*s + 10, -t = 3*y - 2*s for y. -5 Suppose 68 = -4*v + 4*j - 2*j, -v = -5*j + 26. Let u = -7 - v. Suppose -3 - 2 = 2*r + o, 5*r - o - 5 = 0. Solve -3*g + 3*z - u = 4*z, r = -4*g - 2*z - 10 for g. -4 Let q be (0*(-5)/40)/((-2)/2). Suppose q = 11*g - 9*g - 20. Solve 2*i - g = 3*j, -4*i - j = 3*j for i. 2 Suppose 9*p + 10 = 14*p. Suppose -4*s = 4*w + s + 5, 3 = p*w - 3*s. Solve w = 4*i + 1 + 3, 1 = -2*k + 3*i for k. -2 Suppose -n - 5 + 2 = 4*o, 0 = 5*n - 4*o - 33. Solve -4*i - 3*p = i + 8, -4*p - 4 = n*i for i. -4 Let t(j) = j + 5*j - 7*j + 0*j - 19. Let d be t(-21). Solve -2*k + 1 = -d*m + 3, k = 2*m + 3 for k. -5 Suppose -94*w - 4 = -96*w. Solve -g = w*h - 7 + 2, 10 = -4*g - 2*h for g. -5 Suppose -3*p = -c - 57, -3*p - 25*c + 39 = -20*c. Solve 35 = -5*t + 5*z, -4*t + 4*z = -5*t + p for t. -2 Suppose 0 = 20*r - 11*r - 27. Suppose -r*i - 4 = -5*i. Solve -3*h = 8 - 20, 2*h - 10 = -i*k for k. 1 Suppose i + 1 - 4 = 0. Suppose -i*a = -9 - 6. Solve -a*r = -5*o - 20, o - 5*r + 5 = -3*r for o. -3 Let h = 61 - 38. Suppose -2*w + w + 5*d - h = 0, -3*w = 5*d - 31. Solve c = -4*q - 3, 3*q = -2*c + w - 8 for q. 0 Suppose 12 = 5*y - 4*z, -8*y + 3*y - 2*z = -24. Suppose 5*g - 8 = h - 30, -4*h + 104 = -y*g. Let r = h - 24. Solve -4*o = 3*f + 21, 2*f - 3*o = -0 + r for f. -3 Suppose -44*y - 48*y + 1840 = 0. Let d(h) be the first derivative of -h**2/2 - 4*h - 1. Let t be d(-4). Solve t*l - 17 = 4*l - f, 0 = -4*f + y for l. -3 Suppose -4*t = 4*i - 924, i = 2*t - 495 + 21. Suppose 175 = -5*n + t. Solve 0*x - 4*x = n, 2 = 2*z - 2*x for z. -2 Suppose 5*k - 10 = 10. Suppose k*c - 165 - 3 = 0. Let s = c + -23. Solve 3*h - 16 = -u - 6, 5*h - s = -4*u for h. 3 Let y(m) be the first derivative of -2*m**2 + m - 26. Let d be y(-1). Solve 5*j = 3*v - 7, 5*j - 3*v = 2*v - d for j. -2 Suppose -13*t + 19*t = 18. Solve -5*j = 2*r + 19 + 2, 2*r + t = j for j. -3 Let x be 1*(10*2/(-4) - -16). Solve 2*b - x = -5*n, n = -4*n - 4*b + 7 for n. 3 Suppose 5*h - 2*i - 92 = 0, 32 = h - 3*i + 6*i. Suppose -w - h = -5*w. Solve -x + 5*x - 3*v = 11, 0 = 3*x - w*v - 22 for x. -1 Suppose 0*n = -4*n + 8. Let v(r) = 3 - 179*r + 177*r - n. Let z be v(-1). Solve 4*h + 3 = -3*i, 0 = -2*h - 2*i - i + z for h. -3 Let z be (-18)/(-3)*2/4. Solve -2*r = -k + 15 - 6, -2*k + 15 = -z*r for r. -3 Let b = 115 - 110. Suppose -4*z + 25 = -3*r, 3*z - 13 = 2*z + 3*r. Solve -s - z*v = -14, -b*s - v + 9 = -2*s for s. 2 Let h = -4 - -6. Let a(q) = -2*q - 2*q + 0*q. Let g be a(-4). Solve y = h*w + 4, -3*w - w - 2*y - g = 0 for w. -3 Suppose 106 = 5*l + 2*t, -21*l - t = -18*l - 63. Let x = 5 + -1. Solve 5 + 0 = -x*f - k, -f - 4*k = l for f. 0 Let o be (-22)/(-77) - (-408)/42. Solve 2*p + k + 6 = 0, -3*p + o = -8*p - 5*k for p. -4 Suppose 3*b - b - 40 = 0. Solve 0 = -v - 0*v, -5*a - v + b = 0 for a. 4 Let h = 5 - 3. Solve -3*y + 0*y + 12 = -g, -h*y = -2*g - 8 for g. 0 Suppose 0 = 4*n - 5 - 11. Suppose n*q - 23 = -15. Solve -3*u - f = q, 3*u + 4*f + 0 = -17 for u. 1 Let x(z) = -z + 6. Let k be x(6). Let t = -159 - -162. Let j(y) = -y**2 + 5*y - 2. Let u be j(4). Solve t*r - 2*r - 3 = 0, k = h - u*r + 10 for h. -4 Suppose -3*b + 19 = 2*y - 6*b, 35 = 4*y - 5*b. Solve -5*p - 2*t + 15 = 0, -y*p + 6*t = 5*t - 15 for p. 3 Let t be 11/((-44)/(-96)) + 0. Suppose 0 = q + q - t. Suppose 10*l + q = 13*l. Solve -v = -4*z - 3 - 2, -20 = -4*z - l*v for z. 0 Suppose 14*y - 16*y = 6. Let s be (1 + y/(-2))/((-65)/(-52)). Solve -6 = 2*f - s*z, -4*f = f + 4*z + 15 for f. -3 Suppose 9*q - 4*q + 15 = 0, 0 = -3*z + 5*q + 33. Suppose -z = 8*g - 9*g. Let m be (-2)/(1/(g/(-4))). Solve 0 = 3*k - 9, -4*k = 5*a + m for a. -3 Let z be (-6)/(-9) - 1/(-3). Let v be (z - (5 + -2))*-2. Suppose 0 = u + v*u. Solve 0 = -3*l - u*p - 2*p - 12, -5*l = -4*p - 2 for l. -2 Let s(g) = g**2 + 22*g - 133. Let v be s(5). Solve v*l + l = 3, -4*t + 5*l - 17 = 0 for t. -3 Let y = 199 - 194. Solve c + 6 = -f, y*f + 8*c - 4*c = -25 for f. -1 Let l(g) = -2*g**2 + 22*g - 16. Let m be l(10). Solve 15 = -3*n + m*v - v, n = -2*v + 10 for n. 0 Let y = -12 - -18. Let z be 8*((-3)/6)/1. Let c = 7 + z. Solve -4*v - 3*n = 1 + y, -2*v + 5*n + c = 0 for v. -1 Suppose 5*x - 37 = -3*j, 2*x = -j - 8 + 22. Solve -s = 2*r + 8, 3*s - 6 = x*r + 3 for s. -2 Suppose -98 = 2*r - 28. Let u = 64 + r. Suppose -5*t = -20, -g - t + 4 = 2*g. Solve -3*s + 4*d + 8 = -g*d, 5*d + u = -s for s. -4 Let g(o) be the third derivative of -o**5/60 - 7*o**4/24 - 5*o**3/6 + 10*o**2. Let b be g(-5). Solve -2*t = 3*p - 12, 5*t = 3*p - 17 + b for p. 4 Suppose -t = 2*p - 0*p + 6, 3*p + t = -10. Let m be p/24*4 + 28/6. Solve -4*n + 8 = 4*b, 8 = -0*b - b + m*n for b. 0 Suppose 32 = 3*l + 4*g, -5*l + g = 4*g - 35. Let p be 288/56*(-14)/(-4). Let q be 1 + (-6)/(p/(-21)). Solve -2*s - l*r = -6*s + 20, 4*r = -q for s. 3 Suppose v = 3*q - 4*v - 5, -5*q - 5*v = 5. Solve q*b + 4*b - u - 15 = 0, -u - 6 = -b for b. 3 Let c = 5 + 2. Let r(k) = -k**2 + 9*k - 6. Let n be r(c). Let w = -4 + n. Solve -a = w*y - 5, a + a = -3*y for y. 2 Let l be ((-30)/(-9) - 4)*9/(-2). Solve -l*r - 9 = 3*f, 4*r + 15 = 3*f - 4 for r. -4 Let t = 36 + -68. Let s be ((-5)/(-4))/((-8)/t) - 3. Solve 0 = -3*y - 5*x - 10 + 38, 5*y + s*x = 15 for y. 1 Suppose -3*b = -5*h - 57 - 183, 148 = -3*h + b. Let l = 63 + h. Solve 25 = -4*w - w + 5*p, -2*w = -3*p + l for w. -3 Suppose -615 = 25*t - 40*t. Solve 10 = -4*b - 5*q + t, -35 = -5*b - 5*q for b. 4 Suppose i = 8*i - 70. Let r(f) = f**3 - 10*f**2 + 4*f - 11. Let d be r(i). Solve 0 = -5*p + 5*c - 45, 5*p - 2*c + d = -c for p. -5 Let q(w) = 5*w + 156. Let d be q(-31). Solve -2*p = -4*j + p - 4, -j - d = p for j. -1 Let u be 21/(-6) - -4 - 27/(-6). Solve -3*x + u*b = 0, -2*b = 3*b + 15 for x. -5 Let t be -4*((-9)/6)/3. Suppose -5 = 5*h, 7 + 2 = t*v - h. Solve c + 5*y = -15, -c = -3*c + v*y + 26 for c. 5 Let i be ((882/12)/(-21))/((-14)/24). Solve -3*m = -7*m - r + 4, -i = -5*m - r for m. 2 Suppose 0 = 3*c - 5*v - 7, -2*c + v = 3*c + 3. Let k be (-139)/(-7) - 29/(-203). Let y be c*1*(5 - k). Solve h + 4*i - 27 = -4*h, 0 = h + 4*i - y for h. 3 Let u(n) = -n**3 - 18*n**2 + 38*n - 20. Let c be u(-20). Solve -5*b - 10 = 0, -c = -5*i - 3*b + 8*b for i. 2 Suppose 37 = 5*d - 3. Let h(p) = p**3 + 9*p**2 + 3*p - 16. Let s be h(-8). Let i = s - 21. Solve -4 = m, -d + i = -5*z + 5*m for z. -3 Let i be (-22)/(-4)*(-244)/(-671). Solve -h + c + 1 - i = 0, 0 = 5*h - 3*c - 5 for h. 4 Suppose 3*f = 4 + 5. Suppose i - f*x - 1 = -4*i, 5*x = 5*i + 5. Solve g - j = i*j, -5*j = -5*g - 10 for g. -3 Let n be (-4)/(-1) + -19 + 7 + 8. Solve -4*j + 2*u + 6 = n, -24 = -4*j - 3*u - 3 for j. 3 Suppose 0 = 6*f - 2*f - 136. Let d = f - 31. Solve 13 = m - u + 4*u, 0 = -d*m - 4*u + 24 for m. 4 Let u(t) = 4*t - t**3 + 5*t**2 + 0*t**3 + 11946 - 11966. Let m be u(5). Solve 2*s = -2*r - 8, -4*s - 6 = -m*r + 2*r for s. 1 Let t be (-231)/(-18) - 1/(4 + -10). Let s be t - (-3)/9*-9. Solve 5*o - 5*w = -s, -4*o + 28 = 2*w + 3*w for o. 2 Let s be 9/(-9) - (3 + -6). Solve 3*v - 1 = 2*v + 2*k, s*k + 21 = -3*v for v. -5 Let q(t) = t**2 - 9. Let v(w) = -5. Let d(r) = -3*q(r) + 5*v(r). Let j be d(-2). Let n = j + 14. Solve 3 = -2*s - 2*s - u, n*s = -5*u + 17 for s. -2 Suppose n - 5 = 3*d, -2*d = -3*n - d + 7. Solve n*t = -3*g + t + 1, -
{ "pile_set_name": "DM Mathematics" }
2846579000000000 What is one fifth of a milligram in micrograms? 200 How many micrometers are there in 43920.88 millimeters? 43920880 How many millimeters are there in 1/10 of a meter? 100 What is 3/10 of a gram in milligrams? 300 What is 3.672093 millilitres in litres? 0.003672093 Convert 1254135.6 months to years. 104511.3 What is one sixteenth of a meter in micrometers? 62500 What is 41.03005 millennia in decades? 4103.005 Convert 913.282 minutes to nanoseconds. 54796920000000 What is 21/2 of a litre in millilitres? 10500 Convert 99.3375l to millilitres. 99337.5 How many millimeters are there in 57/5 of a meter? 11400 How many nanograms are there in 8221.425 kilograms? 8221425000000000 What is 5382.568 nanoseconds in microseconds? 5.382568 What is 2/21 of a week in hours? 16 How many grams are there in 6662.577 tonnes? 6662577000 How many micrograms are there in 74.11486 kilograms? 74114860000 How many decades are there in one tenth of a millennium? 10 How many years are there in 40.8699 decades? 408.699 What is 43/2 of a millimeter in micrometers? 21500 How many centuries are there in 93738.31 millennia? 937383.1 How many millimeters are there in 58541.5 kilometers? 58541500000 How many millilitres are there in 5/8 of a litre? 625 What is fourty-five eighths of a second in milliseconds? 5625 Convert 0.904113 years to millennia. 0.000904113 What is 7/8 of a millennium in years? 875 Convert 150119.2791ns to weeks. 0.00000000024821309375 How many kilometers are there in 274.6847mm? 0.0002746847 What is one tenth of a milligram in nanograms? 100000 How many centimeters are there in 62405.55um? 6.240555 How many millimeters are there in 4.441915 meters? 4441.915 How many micrometers are there in 88.1401 centimeters? 881401 What is 341719.2 years in months? 4100630.4 How many kilometers are there in 86296.83cm? 0.8629683 How many months are there in six fifths of a decade? 144 What is 8.879072 kilograms in milligrams? 8879072 How many milligrams are there in 7/2 of a gram? 3500 What is four thirds of a hour in seconds? 4800 What is 1/4 of a microgram in nanograms? 250 How many grams are there in 0.0518366mg? 0.0000518366 How many millilitres are there in 6/5 of a litre? 1200 How many micrograms are there in 44.49392 milligrams? 44493.92 What is three fifths of a hour in seconds? 2160 What is 1/10 of a tonne in kilograms? 100 How many weeks are there in 6.2658288 hours? 0.0372966 What is five sixths of a day in minutes? 1200 What is 459955.3 millennia in decades? 45995530 How many nanoseconds are there in fifteen quarters of a microsecond? 3750 Convert 812626.1ns to seconds. 0.0008126261 How many millilitres are there in one fifth of a litre? 200 Convert 33929.4 nanograms to milligrams. 0.0339294 What is 543.1007 decades in centuries? 54.31007 How many litres are there in 26.98201ml? 0.02698201 Convert 513.4224 grams to tonnes. 0.0005134224 How many decades are there in 11/10 of a century? 11 What is 3/40 of a millimeter in nanometers? 75000 What is 820.7681 meters in micrometers? 820768100 Convert 843.7229 minutes to nanoseconds. 50623374000000 How many micrometers are there in five eighths of a centimeter? 6250 How many litres are there in 31965.51 millilitres? 31.96551 Convert 3.956842 minutes to nanoseconds. 237410520000 What is eleven eighths of a centimeter in micrometers? 13750 Convert 75599.1ml to litres. 75.5991 How many milliseconds are there in 238102.2 weeks? 144004210560000 How many months are there in three fifths of a decade? 72 How many days are there in 14328.558 hours? 597.02325 What is six fifths of a tonne in kilograms? 1200 What is 29367.65 millilitres in litres? 29.36765 How many years are there in 114592.23 months? 9549.3525 What is 707.026 kilograms in micrograms? 707026000000 What is 2/45 of a week in minutes? 448 Convert 694.4354 micrograms to milligrams. 0.6944354 Convert 2.15703 months to centuries. 0.001797525 What is 5/4 of a litre in millilitres? 1250 How many millilitres are there in 3/5 of a litre? 600 How many millilitres are there in 5684.312l? 5684312 What is 1493.227 minutes in seconds? 89593.62 What is 5/8 of a micrometer in nanometers? 625 What is 9.333257ng in tonnes? 0.000000000000009333257 How many meters are there in 3/50 of a kilometer? 60 How many months are there in one fifth of a century? 240 How many nanometers are there in 5.141875 millimeters? 5141875 How many nanoseconds are there in twenty-nine halves of a microsecond? 14500 What is 32/5 of a century in months? 7680 How many decades are there in three fifths of a century? 6 How many milligrams are there in 3/40 of a kilogram? 75000 Convert 10988456.22 microseconds to weeks. 0.00001816874375 How many seconds are there in 5/8 of a hour? 2250 Convert 2563.98 micrometers to kilometers. 0.00000256398 What is 0.4603292 weeks in hours? 77.3353056 How many millilitres are there in twenty-five eighths of a litre? 3125 How many seconds are there in three tenths of a day? 25920 How many milligrams are there in 8.270854kg? 8270854 How many millilitres are there in 5/8 of a litre? 625 What is 17/4 of a gram in milligrams? 4250 How many millimeters are there in one tenth of a kilometer? 100000 What is 432631.9l in millilitres? 432631900 How many litres are there in 9291.213 millilitres? 9.291213 What is three fifths of a centimeter in millimeters? 6 What is 146.8594 nanometers in centimeters? 0.00001468594 Convert 251229.9 months to millennia. 20.935825 How many millilitres are there in 57/5 of a litre? 11400 What is 6/25 of a kilometer in centimeters? 24000 What is seventeen halves of a microgram in nanograms? 8500 Convert 960.96 decades to millennia. 9.6096 What is fifteen sixteenths of a century in months? 1125 How many milliseconds are there in five quarters of a minute? 75000 What is 8.94865kg in grams? 8948.65 How many minutes are there in 296.2737 seconds? 4.937895 What is 33282.11t in kilograms? 33282110 How many nanometers are there in 513.662 kilometers? 513662000000000 What is 18/7 of a week in days? 18 How many millimeters are there in 800.8585 micrometers? 0.8008585 What is 492.1608km in nanometers? 492160800000000 What is 23240754.9ms in days? 0.26899021875 How many meters are there in 8482.523um? 0.008482523 How many decades are there in 74/5 of a century? 148 What is 2.008312ml in litres? 0.002008312 How many months are there in 1/20 of a decade? 6 Convert 0.139354l to millilitres. 139.354 How many days are there in 1003.37346ns? 0.00000000001161311875 What is 45/2 of a micrometer in nanometers? 22500 How many microseconds are there in 39167.58 hours? 141003288000000 How many kilometers are there in 18769.29 nanometers? 0.00000001876929 How many millimeters are there in 188555.2km? 188555200000 Convert 9205.651 kilometers to centimeters. 920565100 What is 74/3 of a hour in minutes? 1480 How many millilitres are there in one fifth of a litre? 200 What is fourty-five halves of a year in months? 270 How many millilitres are there in 3/25 of a litre? 120 What is seventeen quarters of a year in months? 51 What is four sevenths of a week in minutes? 5760 What is eleven halves of a hour in minutes? 330 How many meters are there in thirty-four fifths of a kilometer? 6800 Convert 0.0154218l to millilitres. 15.4218 How many micrometers are there in seventy-three quarters of a millimeter? 18250 How many micrometers are there in 2262.736mm? 2262736 How many microseconds are there in 6.895297s? 6895297 How many millilitres are there in three fifths of a litre? 600 How many centimeters are there in three fifths of a meter? 60 What is 0.9379133us in milliseconds? 0.0009379133 How many decades are there in 248698.47 months? 2072.48725 How many centuries are there in 22.44342 millennia? 224.4342 What is 1972.76 millilitres in litres? 1.97276 What is 6698.944 years in decades? 669.8944 What is fourty-five eighths of a week in hours? 945 How many meters are there in 92.35373mm? 0.09235373 What is nineteen quarters of a meter in centimeters? 475 How many millilitres are there in 77/2 of a litre? 38500 How many minutes are there in eleven quarters of a week? 27720 What is thirty-two fifths of a milligram in micrograms? 6400 How many micrometers are there in
{ "pile_set_name": "DM Mathematics" }
llect the terms in 265*u**3 + 57*u**3 - 2*u**2 + 104942*u - 104942*u. 322*u**3 - 2*u**2 Collect the terms in 35*a + 38*a + 36*a - 138*a + 33*a - 10*a. -6*a Collect the terms in 53*k**3 - 51*k**3 - 5*k**3. -3*k**3 Collect the terms in -39 - 20 + 15*o**2 - 10 + 69 - 2*o**2. 13*o**2 Collect the terms in 3 - 3 - 8464*d + 4224*d - d**3 + 4240*d. -d**3 Collect the terms in -81909*l**3 + 91211*l**3 + 279940*l**3. 289242*l**3 Collect the terms in 10*m**3 - 136071*m**2 + 136071*m**2. 10*m**3 Collect the terms in 348*a**2 + 71*a + 69*a - 210*a + 70*a. 348*a**2 Collect the terms in 5 + 7618*x - 1 + 3820*x. 11438*x + 4 Collect the terms in -5 + 10 - 1486*g - 5 + 1487*g. g Collect the terms in 7*r**3 + 31*r**3 - 9*r**3 + 15*r - 14*r**3 - 14*r**3 - 5*r. r**3 + 10*r Collect the terms in 1 + 217*t**3 - 4*t + 4*t - 7*t - 31*t**3. 186*t**3 - 7*t + 1 Collect the terms in -3*u - 11*u**2 + 7*u**3 + 2*u + 17*u**2 - u**3. 6*u**3 + 6*u**2 - u Collect the terms in -6769*j + 702*j + 1068*j. -4999*j Collect the terms in -79*v**3 + 4*v + 33*v**3 + 36*v**3 + 7*v. -10*v**3 + 11*v Collect the terms in 6*z + 553470 - 276727 - 276743. 6*z Collect the terms in 191*q**3 - 399*q**3 - 6 + 199*q**3 + 11 - 5. -9*q**3 Collect the terms in 3 - 5*n**3 - 1771*n**2 + 1771*n**2 - 4. -5*n**3 - 1 Collect the terms in 1973*w - 4662*w**2 - 1973*w. -4662*w**2 Collect the terms in 300*r - 582*r - 2801*r - 646*r. -3729*r Collect the terms in -36528*o - 9 + 9. -36528*o Collect the terms in 14*z**2 + 19*z**2 - 57*z**2. -24*z**2 Collect the terms in -13*u**2 + 14130*u**3 + 13*u**2. 14130*u**3 Collect the terms in 1954*t + 1818*t - 3748*t. 24*t Collect the terms in 2 - 104*j**2 - 117*j**2 + 238*j**2. 17*j**2 + 2 Collect the terms in 9*a**3 + 39 - 87 - 20*a**3 - 11*a**3 - 5*a**3 + 45. -27*a**3 - 3 Collect the terms in 7*w**3 - 13756669396*w**2 + 13756669396*w**2. 7*w**3 Collect the terms in -20173 + 3*o + 20190 - o. 2*o + 17 Collect the terms in 4 - 39808*a - 157*a**2 + 147*a**2 + 39808*a. -10*a**2 + 4 Collect the terms in -593*p - 6116*p + 28052*p. 21343*p Collect the terms in -4310*w + 12979*w - 4335*w - 4336*w. -2*w Collect the terms in -13*p - 29*p - 25*p + 3*p - 46*p. -110*p Collect the terms in -2350*y + 1682*y - 3396*y. -4064*y Collect the terms in 2*n**3 - 32888*n**2 + 0*n**3 + 32888*n**2. 2*n**3 Collect the terms in -32 - 28*t - 8*t + 31. -36*t - 1 Collect the terms in 2015 + 2010 - 4025 - 12*p. -12*p Collect the terms in 0 + 102*f + 94*f - 159*f + 0. 37*f Collect the terms in -13090*d**3 + 18661*d**3 + 34713*d**3. 40284*d**3 Collect the terms in 2273 - 2273 + 12*u**2. 12*u**2 Collect the terms in 10*y**2 - 875*y**3 - 8*y**2 + 878*y**3. 3*y**3 + 2*y**2 Collect the terms in 39*j + 211*j**2 - 14*j - 9*j - 16*j. 211*j**2 Collect the terms in 47*d + 122*d - 20*d + 38*d. 187*d Collect the terms in -39064 + 39064 + 308*i**2. 308*i**2 Collect the terms in 58 + 270*s**2 - 264*s**2 - 55. 6*s**2 + 3 Collect the terms in 1194*w**3 + 10*w + 1199*w**3 - 10*w - 2404*w**3. -11*w**3 Collect the terms in 141*x - 55*x + 213*x + 272*x - 73*x. 498*x Collect the terms in 3*o + 1998 + 2076 + 2012 - 6086 - o. 2*o Collect the terms in -930 + 0*j + j + 930 - 4*j - j. -4*j Collect the terms in -4*q**3 - 23 + 41*q - 4*q**3 + 5 - 41*q. -8*q**3 - 18 Collect the terms in -49*c + 51*c + 1281 - 1261. 2*c + 20 Collect the terms in 3*o - 313 - 5*o + 159 + 196. -2*o + 42 Collect the terms in 6303*d**2 + 29*d**3 - 12599*d**2 + 6296*d**2. 29*d**3 Collect the terms in -50*x - 501*x - 348*x + 106*x. -793*x Collect the terms in 461*z**3 + 319*z**3 - 783*z**3. -3*z**3 Collect the terms in 2345*f - 1254*f - 1095*f. -4*f Collect the terms in 6*z - 59 - 107 - 61 + 227. 6*z Collect the terms in 13*w**2 + 220*w**2 - 52*w**2 + 4*w**3. 4*w**3 + 181*w**2 Collect the terms in -496*z**2 + 1475*z**2 - 4 - 488*z**2 + 4 - 493*z**2. -2*z**2 Collect the terms in h + 63 - 14*h**3 + 3*h**2 - 4*h**2 + h**2. -14*h**3 + h + 63 Collect the terms in 2 - 33 - 20*c**3 + 32. -20*c**3 + 1 Collect the terms in 22*h + 137*h**3 - 12*h**3 - 248*h**3. -123*h**3 + 22*h Collect the terms in 10*g - 14*g - 45*g**3 - 44*g**3. -89*g**3 - 4*g Collect the terms in 1 - i**3 + 54*i**3 + 42*i**3 - 154*i**3 - i**2. -59*i**3 - i**2 + 1 Collect the terms in 4 - 1 + 4 + 15*q**2 - 10 - 19*q**2. -4*q**2 - 3 Collect the terms in 573 + 13*v**3 + 583 - 1158. 13*v**3 - 2 Collect the terms in -35818*k**3 + 5530*k**3 - 8189*k**3. -38477*k**3 Collect the terms in 17 + 9*b - 11*b - 4*b + 4*b. -2*b + 17 Collect the terms in -87*l**2 + 3*l + 32*l**2 + 72*l**2 - l. 17*l**2 + 2*l Collect the terms in 109*u**2 + 120*u**2 + 112*u**2 + 5*u**3 - 341*u**2. 5*u**3 Collect the terms in m**2 + 3*m**2 - 9*m**2 + 5*m**2 - 8*m**3. -8*m**3 Collect the terms in 24170 - 47930 - w**2 + 23760. -w**2 Collect the terms in -649*c + 649*c - 13*c**3 - 13*c**3 - 2*c**3. -28*c**3 Collect the terms in 16 + 53*a**3 - 8 - 1 - 51*a**3 - 7. 2*a**3 Collect the terms in -l**2 + 5220879*l - 5220879*l. -l**2 Collect the terms in -4478*u + 2239*u + 2 + 5 - 7 + 2238*u. -u Collect the terms in -10*z**3 - 11*z**3 - 6*z**3 + 26*z**3 + 0*z**3. -z**3 Collect the terms in -3100*l + 899*l - 4715*l - 1397*l. -8313*l Collect the terms in 56*y - 111*y - 124*y**2 + 55*y. -124*y**2 Collect the terms in -74*z - 29 - 18 + 72 - 28. -74*z - 3 Collect the terms in 5*b - 18*b + 9*b + 12*b. 8*b Collect the terms in -1768 + 3537 + 7*s**2 - 17*s**2 - 1769 + 8*s**2. -2*s**2 Collect the terms in -25739*a - 18343*a - 24895*a + 17572*a. -51405*a Collect the terms in 4*k**3 - 442*k**2 + 225*k**2 - 1014*k**2. 4*k**3 - 1231*k**2 Collect the terms in 979 - 329 - 328 - 322 + 126*q**2. 126*q**2 Collect the terms in 2*h**3 - h**3 - 4*h**3 + 5*h**2. -3*h**3 + 5*h**2 Collect the terms in 654*q - 1370*q + 671*q. -45*q Collect the terms in 390*m**2 + 396*m**2 + 430*m**2 - 1222*m**2. -6*m**2 Collect the terms in -21*q**3 - 134 + 136 + 33*q**3 - 19*q**3. -7*q**3 + 2 Collect the terms in 5*s + 7272017*s**3 - 5*s - 7272012*s**3. 5*s**3 Collect the terms in -235*r**3 + r - r + 103*r**3 + 110*r**3. -22*r**3 Collect the terms in 19*o**2 - 32*o**2 + 358*o**2. 345*o**2 Collect the terms in 1 - 9976*t**2 + 41479*t**2 - 1. 31503*t**2 Collect the terms in 2015*z**2 - 6022*z**2 + 1994*z**2 + 2011*z**2. -2*z**2 Collect the terms in -663*h**2 - 7 - 318*h**2 + 18 - 11. -981*h**2 Collect the terms in -3*f - 161 - 1091 + 260 - 2744. -3*f - 3736 Collect the terms in 18 + 21*q - 5 - 13 - 6*q. 15*q Collect the terms in 3*n + 74*n**3 - 177 + 41*n**3 + 4*n - 114*n**3. n**3 + 7*n - 177 Collect the terms in -11*y - 4*y**2 + 6*y + 2*y**2 - 4 - 12*y. -2*y**2 - 17*y - 4 Collect the terms in 154*m**2 + 43*m - 153*m**2 - 46*m. m**2 - 3*m Collect the terms in -93515 + 18*k**3 - 2*k + 93515. 18*k**3 - 2*k Collect the terms in -2*m - 53964*m**3 + 2*m + 17509*m**3. -36455*m**3 Collect the terms in -136*y**3 + 594*y**3 - 141*y**3 - 150*y**3 - 159*y**3. 8*y**3 Collect the terms in -539*k + 8*k**2 + 1085*k - 538*k. 8*k**2 + 8*k Collect the terms in 73*w - 3*w - w**2 + 0*w**2 - 70*w. -w**2 Collect the terms in -19095*u**2 + 250567*u**2 + 6620*u**2. 238092*u**2 Collect the terms in 18*j**3 - 2005 - 22*j**2 + 2005. 18*j**3 - 22*j**2 Collect the terms in -17523*s**2 - 17519*s**2 + 35052*s**2. 10*s**2 Collect the terms in 28*f + 26*f + 53*f - 160*f + 29*f + 23*f. -f Collect the terms in 10125 + 973*i - 10125 - 176*i. 797*i Collect the terms in -224*w**2 - 222 + 115 + 11*w + 109. -224*w**2 + 11*w + 2 Collect the terms in -10631741*j + 7*j**2 + 10631741*j. 7*j**2 Collect the terms in 90 + 84 + 2*f + 92 - 266. 2*f Collect the terms in 3*z**3 - 9*z**3 - 100313*z + 100311*z. -6*z**3 - 2*z Collect the terms in -12*f**2 - 2*f**2 + 14*f**2 - 12*f**3. -12*f**3 Collect the terms in 797114*y**2 + 17*y**3 - 797114*y**2. 17*y**3 Collect the terms in 1268*m - 648*m - 618*m. 2*m Collect the terms in 81663*k**2 - 40826*k**2 - 40839*k**2. -2*k**2 Collect the terms in 2*o**3 - 10062481 + 10062481. 2*o**3 Collect the terms in 0*i**2 - 57363*i**3 - 4472*i**3 + 0*i**2. -61835*i**3 Collect the terms in -10*a - 10*a - 483 + 12*a. -8*a - 483 Collect the terms in -305*k + 532*k - 372*k. -145*k Collect the terms in -334*v + 202*v + 0 + 2. -132*v + 2 Collect the terms in -2*t**3 - 46*t + 14 + 3*t**3 - 48*t - 3*t**3. -2*t
{ "pile_set_name": "DM Mathematics" }
he form k*x**4 + j*x + a*x**3 + n + u*x**2 and give k. 794 Express (-x - x + 0*x)*(-85 - 1584*x - 2*x**2 - 1577*x + 3163*x) in the form w + j*x + c*x**3 + r*x**2 and give r. -4 Express (3*v**2 - 2*v**2 + 0*v**2)*(-3 + 3 - 2*v)*(-1007 - 794 - 3343)*(-1 + 1 + v) as p*v**3 + g*v**4 + k*v + b*v**2 + m and give k. 0 Express -499*i**2 + 242*i**2 + 850*i**2 + 600*i**2 as w*i + b*i**2 + x and give b. 1193 Express 3*f**3 - 4*f**3 + 2*f - 5058 - 7*f**4 + 2*f**4 + 5057 + 2*f**2 in the form m*f + o*f**4 + l*f**3 + n*f**2 + a and give n. 2 Rearrange 25 + 116*z - 114*z - 120 to j*z + l and give l. -95 Rearrange z - 7*z - 2 + 5*z - 217*z**2 to d*z**2 + f + w*z and give d. -217 Rearrange 64*q**2 + 2*q + q + 2 - 55*q**2 to the form i + l*q + s*q**2 and give l. 3 Express (-i**3 + 5*i**3 + 2*i**3)*(i - 4*i - i) + 6*i**3 + 3*i**3 - 7*i**3 - 3*i**4 as k*i**4 + n*i**2 + p*i**3 + g + u*i and give g. 0 Express 101 - 3*n + 4*n**2 - 2*n**2 + 190 - 82 as a + x*n + p*n**2 and give p. 2 Rearrange -133 + 133 - 37*i + (-1 - 1 + 0)*(-i - 3*i + 5*i) - 1 + i + 1 - 11*i + 8*i + 8*i to y + j*i and give j. -33 Express 11 + 39*o**2 - 7*o**3 + o**4 + 11*o**2 - 49*o**2 as q + v*o**2 + n*o**3 + f*o + b*o**4 and give b. 1 Rearrange 2*h - 2*h + 65*h**2 + 306 - 306 to q*h**2 + n + g*h and give q. 65 Express (3 - 3 - 1)*(3*g**4 - 37043*g**2 + 59*g + 37043*g**2) as n*g + l*g**4 + y*g**2 + a + x*g**3 and give n. -59 Rearrange -82 - 153*y - 166*y + 83 to the form w*y + q and give q. 1 Rearrange k**3 - k**3 + k**3 + (0*k - 2*k + 4*k)*(-6*k**2 + 7*k**2 + 6*k**2) + 7*k**3 - 4 + 4 to the form i + r*k**2 + s*k + h*k**3 and give h. 22 Rearrange -50*h**2 + 2*h + 0*h + 259*h**2 + 0*h to the form r*h**2 + a*h + d and give r. 209 Express -c**4 - 1760*c**2 + 883*c**2 + c + 875*c**2 + 2 + 2*c**3 as b + q*c**2 + w*c + g*c**4 + m*c**3 and give m. 2 Express (4 + 0 - 2)*(16 - 37 + 21 + 363*z + 2228*z) as y + r*z and give r. 5182 Express -12*u**4 + 6*u**2 + 34*u**4 - 4*u**2 + 2*u**3 - 21*u**4 + 3*u**2 - 7*u - 1 as d*u + z*u**4 + b*u**3 + v*u**2 + k and give d. -7 Express (-4*g + 2*g + g)*(49*g**2 + 20*g - 8*g**2 - 20*g) as c*g + p + r*g**2 + t*g**3 and give t. -41 Express -3*o**2 - 67*o**2 + 1 + 21*o**2 in the form l*o**2 + d + t*o and give d. 1 Express 841 - 856 + 3*y + y as m*y + o and give o. -15 Express -19 + 25 - 16*z**3 + 12*z**3 in the form d*z**2 + k*z**3 + f + l*z and give k. -4 Rearrange -n**3 + 0*n**3 + 0*n**3 - 39*n**3 - 7*n - 5*n + 2*n**2 + 40*n**3 + (3*n - 5*n + n)*(3*n - 2*n**2 - 3*n) to f*n + p*n**2 + m*n**3 + r and give m. 2 Rearrange -32*x**2 + 1265*x**2 + 33224 - 33224 to t*x**2 + u + i*x and give t. 1233 Rearrange -73*m - 79*m + 237*m + 2*m**2 - 9*m**3 - 79*m - 1 to the form j*m**3 + r*m**2 + k + g*m and give r. 2 Rearrange 65*c**3 - 8*c + 1 + c**4 - 63*c**3 + c + 4 to u*c + k*c**4 + q*c**2 + i*c**3 + m and give k. 1 Rearrange 626 - 2*p**2 - 1253 + 629 + 457*p to the form o*p + d*p**2 + k and give o. 457 Express -3*o - 983 - 985 - 980 + 2947 in the form d + p*o and give d. -1 Rearrange (0 - 1 - 6)*(2 - 2 - 4*w**2) + (-6*w + 2*w + w)*(-w - 6*w + 15*w) to s*w + a + x*w**2 and give x. 4 Rearrange -5*d**3 - 8*d**2 - 378 + 757 - 375 to a*d**3 + l*d**2 + r*d + p and give l. -8 Express -2*l + 0*l + 0*l + (-5 + 13 + 0)*(-87 + 87 + 11*l) in the form n*l + x and give n. 86 Express ((1 + 4 - 3)*(-2 + 2*j + 2) - 6*j + j + 2*j)*(-312 + 312 - 49*j) as z + p*j**2 + n*j and give p. -49 Rearrange -m**2 + m**4 - 8*m**3 - 3*m**4 - 19*m - 1 + 2*m**2 + 20*m to the form y + j*m**4 + r*m**2 + b*m**3 + u*m and give b. -8 Rearrange (-o + 6*o + 3*o - 3*o + 4*o + 0*o + (0*o + 2*o + 0*o)*(-3 + 5 - 3) + (2 - 2 - 8)*(7 - 5*o - 7))*(-2 + 0 + 4) to the form k*o + d and give k. 94 Rearrange (5*p**4 - 2*p**4 - p**4)*(2 + 2 - 3) - 37*p**4 + 793*p**4 + 34*p**4 to s + f*p**2 + t*p**4 + i*p**3 + b*p and give f. 0 Rearrange -3 + s - 10 - 17 to the form w*s + u and give w. 1 Express -k + 1 - 207520*k**2 + 108*k**3 + 207520*k**2 + (3*k - 5*k + 3*k)*(-4 + 2*k**2 + 4) as n + g*k + o*k**3 + f*k**2 and give o. 110 Express 4*l - 4*l - 4*l**2 + (3 - 9*l - 3)*(17*l - 9*l + 20*l) in the form d*l + r*l**2 + c and give r. -256 Rearrange g - 16 + 83*g**2 - 5*g**4 - g - 85*g**2 - 7 to the form x*g**3 + p + o*g**2 + d*g**4 + f*g and give d. -5 Express (1460*z - 1460*z - 145*z**2 + (2*z**2 - 6*z**2 + 5*z**2)*(-2 - 3 + 2))*(-3*z**2 + 3*z**2 - z**2) as l*z**3 + h*z + p + t*z**2 + s*z**4 and give s. 148 Rearrange (3 - t - 3)*(t + 2 - 2)*(-3 + 3 - t)*((-3 + 1 + 1)*(0 + 2 - 1) - 3 + 4 - 3 + (-36 + 10 + 12)*(1 + 3 - 1)) to c*t**2 + f*t + u + y*t**3 and give u. 0 Rearrange 1 - 74*g - 61*g - 28*g + 16*g - 262*g to p + y*g and give y. -409 Rearrange (6*y - 3*y + 5*y)*(2*y**3 + y**3 - 10*y**3) - 3*y**4 + 7 - 7 to l*y**3 + o + z*y**2 + j*y**4 + s*y and give j. -59 Rearrange -2 + 4 - 3 + 3 + 144*x**3 to y + k*x + f*x**3 + n*x**2 and give y. 2 Rearrange 5973*f - 25*f**2 - f**3 - 5973*f - 9*f**2 to l*f**3 + c*f**2 + w + m*f and give c. -34 Express -28 + 3*x**3 + 32 - 7 as s*x**2 + w*x + r*x**3 + p and give p. -3 Rearrange 0 + 159*w + 0 + 8*w**3 + 3 - 158*w to g*w**2 + d*w + r + v*w**3 and give r. 3 Express (29*i + 11 - 11)*(0*i + 2*i + 5 - 4)*(-4 + 0 + 0) in the form y*i + a + v*i**2 and give v. -232 Express (92*f**4 - 37*f**4 - 42*f**4)*((1 - 2 + 0)*(0 + 1 - 2) + (-1 - 1 + 0)*(6 - 2 - 2) + 2 - 2 + 1) as j*f**2 + g*f + h + x*f**3 + s*f**4 and give s. -26 Express (-44*n**2 + 26*n**2 + 25*n**2)*(0*n**2 + n**2 + 5*n**2) + (-4 + 1 + 2)*(-1 + 1 + n**4) in the form h + f*n**2 + x*n + p*n**3 + z*n**4 and give z. 41 Rearrange 13*k + 77*k + 44*k to d + g*k and give g. 134 Express (-8*x + 1 - 1)*(-216 + 136 - 67 - 170) as a*x + r and give a. 2536 Express -2*d**2 + d - d + (-d - 3 + 3)*(3*d - 2*d + 0*d) - d + d**2 + d + 91*d - 5174*d**2 + 81*d + 81*d - 253*d in the form k*d + g*d**2 + n and give k. 0 Rearrange 442*l**4 + 2*l**2 - 448*l**4 + 0*l**2 - l to the form j*l**3 + g + n*l + q*l**2 + o*l**4 and give o. -6 Express (2*y**2 + 8*y**2 - y**2)*(-3 + 4 + 1)*(-10 + 10 - 56*y) in the form x*y**3 + l*y**2 + t*y + m and give m. 0 Express (-2*d + 3*d - 3*d)*(-1 - 1 + 4) + 0*d + d + 0*d + 1 - 2*d - 1 - 5 + 4*d + 8*d - 33*d as v*d + a and give a. -5 Rearrange 11*h**2 - 2*h + 3*h**2 - 8*h**2 + 2*h + 2 to s*h + w + n*h**2 and give n. 6 Rearrange -19*x**2 - 3*x**3 - 2246 + 0*x**4 + x**4 + 2248 to the form c*x + y*x**4 + n + i*x**2 + p*x**3 and give p. -3 Rearrange (0*w**2 - 4*w**2 + 3*w**2)*(92*w**2 + 293*w**2 - 44*w**2) to the form p*w**3 + x*w**2 + z*w**4 + t*w + i and give z. -341 Rearrange 6 - y + 75*y**3 + 2 - y**2 - 5 - 38*y**3 to b*y + o*y**2 + j + k*y**3 and give o. -1 Rearrange (-15*l + l**2 + 15*l)*(3*l - 4*l - l) + 18*l**3 + 0*l**2 - 7*l**3 - 2*l**2 to p*l + c*l**2 + h*l**3 + i and give i. 0 Rearrange 0*w**2 + 3*w**3 + 0*w**2 + (-4*w - 2*w**3 + 4*w)*(-2 + 4 - 4) - 5*w**3 + 8*w**3 + 13*w**3 to the form z + c*w + o*w**3 + y*w**2 and give o. 23 Rearrange (-f**2 + 5*f**2 + 0*f**2)*(-5 - 19*f**2 - 42*f**2 + 355*f - 353*f) to the form g + v*f**2 + u*f**4 + t*f + a*f**3 and give u. -244 Express 5 + 17*h - 3*h - 15*h as g + j*h and give g. 5 Rearrange ((2 - 1 + 1)*(-3*c - c + 6*c) + 2*c + 4 - 4)*(2*c - 5*c - c) + 11*c**2 - c**2 + 2*c**2 to g*c**2 + b + h*c and give g. -12 Rearrange (-72 - 21 + 141)*(-2*g - g + 5*g) - 4*g + 3*g - 2*g to the form v*g + x and give v. 93 Express 60*y - 57*y - 873*y in the form d + n*y and give d. 0 Express 26*l - 5 - 3 - 228*l + 8 in the form w*l + m and give w. -202 Express 229*o + 654*o - 103*o - 57*o as s + m*o and give m. 723 Rearrange (5*b - 3*b + 0*b)*(-2 + 1 + 0)*((2 + 3 - 4)*(-b + 0*b - b) - 537*b + 762 - 762) to u*b**2 + n*b + w and give u. 1078 Express (-2*p - 4 + 3*p + 0)*(7 + 8 - 1) as o + q*p and give o. -56 Rearrange 2*v**2 + 59 - 30 - 10*v - 27 to the form w*v + c*v**2 + p and give c. 2 Rearrange -3*o + o - 84 + 113 + o to the form c*o + s and give c. -1 Rearrange (-4 + 4 - 2)*(-99 + 19 - 24)*(c**2 + 4*c**2 - 2*c**2) to the form q*c + s + o*c**2 and give o. 624 Rearrange 3*n**2 - 2*n**3 - 1110 + 1114 + 2*n - 3*n**2 to m + u*n + v*n**2 + l*n**3 and give m. 4 Express -2*n - 48*n**2 + 6 + 49*n**2 + n**3 - 2 in the form d*n**2 + v*n + p + t*n**3 and give d. 1 Rearrange 7 - s**2 + s - 9 - 2*s**3 + 6*s**3 to k + z*s**3 + t*s**2 +
{ "pile_set_name": "DM Mathematics" }
f. 4 Let o be 42/(-35) - 139/5. Let d(q) = -q - 25. Let r be d(o). Solve 0 = -5*u + u - r for u. -1 Suppose -5*k + 100 = -4*s, 30*k - 67 = 27*k + s. Solve 0 = k*a - 87 - 9 for a. 4 Let q be (0 - ((-60)/9 - 2/6)) + 2. Solve -q*s - 145 = -109 for s. -4 Let d be (-5 - 35)/5*((-42)/28 - 4). Solve -16*v = -d*v - 224 for v. -8 Suppose -5*u = 15*m - 9*m + 8, -3*u - 9 = 5*m. Solve 371*c - u = 372*c for c. -2 Let a = -21 - -39. Let t(u) = -u**3 - 4*u**2 + 35*u + 81. Let j be t(-2). Suppose 4*b + j*k - a = 0, 4*k - 3 = b + k. Solve c = -b*c - 8 for c. -2 Let t(i) = -12*i**3 - 3*i**2 + 3*i + 4. Let a be t(-1). Solve 0 = -25*r - 60 + a for r. -2 Let d(y) = -18*y - 178. Let x be d(-9). Let q = 4 - x. Solve -21*s = -q*s + 4 for s. -4 Suppose 3*l = -4*o + 2104, 0 = -20*o + 16*o + 4. Let z = 714 - l. Solve 4*i + z = -3*i for i. -2 Suppose c = -r + 16 + 13, c = -2*r + 59. Suppose 3*k - r = -3*h, 8 = 10*k - 8*k. Solve 20 = h*w - 2*w for w. 5 Suppose -26 = -5*d + 24. Let u = d - 8. Solve -2*m = u*m for m. 0 Let f = -23523 - -23535. Solve 0 = 15*b - f*b + 18 for b. -6 Suppose 0*a - 36 = 4*a + 5*x, x = a. Let w be (a/(-6))/((-4)/(-24)). Let q be (962/65 + -15)*-5. Solve s + q + w = 0 for s. -5 Suppose -4*n + 4 = 0, 4*t + 270*n - 274*n - 2396 = 0. Solve 630 - t = 5*j for j. 6 Let g = 79 + -7. Let r be ((-7)/(-4))/(18/g). Solve r = -x + 4 for x. -3 Let k be 3/2*1152/(-36). Let s = k - -48. Suppose 0*o - o + 1 = 2*j, 3*j + 2*o = s. Solve -4*i - 6 = -j*i for i. -3 Let s = -5330 + 6108. Solve -s*w + 20 = -783*w for w. -4 Suppose 847 = 3*w + 8*w. Let f = -70 + w. Suppose f*g - 4 = 5*g. Solve -n = -0 - g for n. 2 Let x be 3676/28 + (-8)/28 - (-14)/2. Solve 30 = -144*b + x*b for b. -5 Suppose -2*r - 724 = 3*q, 0 = 5*r - r + 20. Let n = 241 + q. Solve 3 = -n*s - 0 for s. -1 Suppose -32*k = 8*k - 800. Solve -73 + 13 = -k*w for w. 3 Suppose 4*x = 2*b - 12, -b + 21*x = 22*x + 3. Suppose 2*k + b*k = -k. Solve p - 6 + 4 = k for p. 2 Let l(p) be the third derivative of -p**5/12 - p**4/24 + 2*p**3/3 + 8*p**2. Let t be l(-2). Let q be t/(-4)*(-56)/(-49). Solve -8 = -4*m + q for m. 3 Suppose -3*m = -7*m + 1696. Let f = m - 423. Solve d + 6 = f for d. -5 Let x(f) = f**3 - 10*f**2 - 142*f + 40. Let w be x(-8). Solve 161*s - 165*s - w = 0 for s. -6 Suppose 2*p - h + 1 = 0, -p - 5*h + 3 = -2*h. Suppose p = -19*n + 42 + 53. Solve 36 = 4*b + n*b for b. 4 Let k(n) = -14*n + 12. Let g(f) = 2*f. Let u(z) = -6*g(z) - k(z). Let s be u(9). Solve 8 + 10 = s*i for i. 3 Suppose 0 = 18*j - 95 - 13. Solve j*a + 161 = 173 for a. 2 Let w = 0 - -1. Suppose -9*q = 6*q - 360. Suppose q - 6 = 6*p. Solve -w - 2 = p*h for h. -1 Suppose 204*a - 4*d = 200*a + 24, 2*a = -3*d + 52. Solve 3*c - a = 5*c for c. -7 Suppose 2*y + 3 = 5*l - 10, 2*l = -4*y - 38. Let p be (-8 - 96/y)*6/8. Solve -s - s = -p for s. 1 Let c = -243 + 250. Suppose -a = l - 1 + 5, -4 = -2*a + l. Solve 3*g - c + 10 = a for g. -1 Suppose 137*q = 1007 + 4610. Solve -16*o - q = -137 for o. 6 Let v(l) = -l**2 + 5*l - 1. Let z be v(4). Suppose 28*s = 35 + 637. Suppose -4*b + s*j = 23*j - 4, 0 = -j. Solve b = -2*a - z for a. -2 Let k be ((-84)/8 + -1)/((-2)/4). Let f = -11 + k. Solve -2*m - f = -8 for m. -2 Let j(s) be the first derivative of -s**3/3 - 45*s**2/2 - 38*s + 87. Let a be j(-44). Solve -n = -a*n for n. 0 Let j = -10882 - -10918. Let f(w) = -35*w - 1. Let a be f(-1). Solve 4 = a*o - j*o for o. -2 Suppose -5*n + f = -3*f - 8, -n - f - 2 = 0. Let a be (44/77)/((-2)/(-14)). Solve -a*k = 12 - n for k. -3 Let u(z) be the third derivative of -z**5/30 + 4*z**4/3 - 3*z**2 + 13. Let q be u(16). Solve q = 3*t + t - 4 for t. 1 Suppose s = 3*s, -s + 10 = 5*h. Let f(u) = 68*u - 1. Let g be f(0). Let v be 7 + -9 + (12/3 - g). Solve h = -v*d + 8 for d. 2 Let a(j) be the first derivative of j**2 - 16 + 1/3*j**3 + j. Let b be a(0). Solve 2*z = 3*z + b for z. -1 Suppose 7*r + 8 = 2*o + 9*r, -8*o - 20 = -5*r. Solve o = 45*f - 205 - 20 for f. 5 Let q(a) = a**3 - 4*a**2 - a + 5. Let d be q(4). Suppose 4*p + 47*i - 46*i = 22, 4*p - 2*i = 28. Solve -h + p = d for h. 5 Suppose -150*p = -151*p + 206. Solve 23*i - p = -45 for i. 7 Let l(n) = -n**2 + 4*n - 7. Let g be l(4). Let p be (-3)/7 + (-3)/g. Solve 5*m + 0*m = p for m. 0 Let m(x) = 10 - 4*x + 9*x + 2 + 0. Let l be m(-3). Let y be (0/(-1 - l))/3. Solve d = -y*d for d. 0 Let s(f) = 4*f - 45. Let a be s(13). Suppose -4*c = -2*c + 4*t - 14, 0 = 3*c - t - a. Solve -2 - 4 = -c*x for x. 2 Suppose -20 = 4*x, 52*a - 49*a + x - 325 = 0. Solve 6*f - a = -122 for f. -2 Suppose -13*o = -1733 + 871 - 958. Solve -o = 6*l - 176 for l. 6 Suppose 28 = -2*c + 4*s, -s = -4 - 0. Let z be 1*c/(-12)*0. Solve -4*w - 11 - 1 = z for w. -3 Suppose 4192 = -7766*t + 7798*t. Solve t = 41*o + 418 for o. -7 Let y = -761 - -759. Let n(c) = -16*c**2 - 5*c - 21. Let f(d) = 3*d**2 + d + 4. Let o(v) = 11*f(v) + 2*n(v). Let l be o(y). Solve z + l = 5*z for z. 1 Let k(s) = -61*s - 240. Let p be k(-4). Solve p*v = 14*v - 4*v for v. 0 Let b be (-1005)/(-45) - (12/9)/4. Solve 14*d - b + 50 = 0 for d. -2 Let k(u) = -2*u**3 + 41*u**2 + 20*u + 27. Let w be k(21). Suppose -z + 6 = o, -2*o - w*z + 10 = -3*z. Solve -16 - 8 = -o*s for s. 3 Let c be 32/24*(-6)/4. Let h(j) = 3*j**2 - 8*j + 14. Let k(a) = -16*a**2 + 40*a - 71. Let r(d) = c*k(d) - 11*h(d). Let v be r(6). Solve v = 4*b - 0*b for b. 0 Let x(l) = -l**3 - 18*l**2 + 17*l - 429. Let r be x(-20). Solve 33 = -r*w - 91 for w. -4 Suppose 0 = 2*x - 4*v - 332, 4*x - 8*v + 12*v - 676 = 0. Let l = 175 - x. Solve 12*u - l*u + 15 = 0 for u. -3 Suppose 3*n = -2*n + 3*c + 120, 5*c = 3*n - 56. Suppose 2*h = -d + 11, 0 = 4*d + 4*h + n - 83. Solve d = -y + 20 for y. 3 Suppose 0 = -4*r - 3*d + 97, -5*d + 6*d = -2*r + 49. Solve 7*x = 2*x + r for x. 5 Let z = 684 - 804. Let j be (-860)/z + (-3)/18. Solve 4*m = -j*m - 33 for m. -3 Suppose 73 = 4*p + 2*o - 7*o, 3*p - 4*o - 54 = 0. Suppose -7*x - 4*x = -p. Solve -z + 4 = -x*z for z. -4 Suppose 12*c - 8 = 11*c. Let x(q) = 8*q**2 + 9*q**3 - 32 + 2*q**3 + 4*q + 4*q**3 - 16*q**3. Let h be x(c). Solve -j - j = h for j. 0 Let c be 2 - (-36 + 16) - (-8 - -1). Solve 36 = -7*j + c for j. -1 Suppose -4*b + 120 = 4*l + 20, 57 = 2*l - 5*b. Let x(a) = -a**2 + 28*a - 47. Let d be x(l). Solve 0 = -4*g - d + 13 for g. 2 Let f(z) = -z + 10*z + 42 + 19 + 2. Let q be f(-6). Let p be 0/((-12)/(-9) - 3/q). Solve p*m = 2*m for m. 0 Let n(h) = -h**3 - 6*h**2 - h - 6. Let m be n(-6). Let c be (-18)/(3 - 0) + (48 - 30). Solve m*r + c = 3*r for r. 4 Let s be ((-42)/(-8))/((-261)/(-1044)). Solve -s*c + 16*c = 0 for c. 0 Let x be 40/24 - 5/3. Solve -812*d + 804*d + 32 = x for d. 4 Let n = -3445 - -3453. Solve 37*s + n = 35*s for s. -4 Suppose 443*u = 448*u + 2*o - 2860, 0 = -2*u - 5*o + 1123. Solve 13*x = -u + 587 for x. 1 Let t = 1024 - 979. Solve -t*l - 78 = -32*l for l. -6 Suppose -23*h - 3960 = -95*h. Solve 6 = h*g - 49*g for g. 1 Suppose 0 = 6*z - 9*z - 1521. Let h = -492 - z. Solve -h = -4*s + 7*s for s. -5 Let q = 950 + -943. Suppose -q*z + 300 + 456 = 0. Solve -2*a - 110 + z = 0 for a. -1 Suppose -9 + 33 = 3*q. Let a(m) be the second derivative of -m**5/20 + 7*m**4/12 + 5*m**3/3 - 13*m**2/2 - m + 9. Let x be a(q). Solve 0 = x*l - 21 + 6 for l. 5 Let b = -569 + 584. Suppose -a - 3*x + b + 6 = 0, 0 = 4*a - 5*x - 16. Solve 3*o - a = -9 for o. 0 Let f(z) = 4*z**3 + 69*z**2 + 20*z + 58. Let v be f(-17). Solve -11*b - v = 37 for b. -4 Suppose -d - 4*q = d, q + 11 = 5*d. Let i be d + ((-44)/(-2) - -1). Let x = 30 - i. Solve 0 = x*b - 0*b - 25 for b. 5 Let g be 3 + 30 + (12 + -3)*-1. Solve 35 + 109 = -g*a for a. -6 Let n be (-14 - (12 - 8))/(2/(-9)). Suppose 0 = 10*o - n + 51. Solve 8 = -b + o for b. -5 Suppose -t = -1, 0*x + x - 69 = -2*t. Suppose -1105 = -7*a - 10*a. Let n = x - a. Solve 3*g = -n - 4 for g. -2 Let v = -723 + 716. Let u be (1/(-1))/(v + 8) - -4. Solve -u*r + 2 - 5 = 0 for r. -1 Let l be (-2)/3*14/((-560)/780). Solve -l*b + 44 = 5 for b. 3 Suppose 23*l - 62*l - 20*l + 708 = 0. Solve -16*m + l = -10*m for m. 2 Let f(a) = -a**3 - 14*a**2 - 24*a + 11. Let h be f(-12). Suppose -28 = h*g - 83. Solve g - 1 = -4*y for y. -1 Let a be 3 - (2 - 0)/2. Suppose 0 - 1 = -d, -4*d - a = 2*y. Let g be ((-2)/y)/(6/108). Solve 0 = 2*k + 2*k - g for k. 3 Suppose -2 = 2*s + 8. Let t = s - -5. L
{ "pile_set_name": "DM Mathematics" }
1) + sqrt(99)) - sqrt(19)) + 4))**2. -20*sqrt(19) + 539/4 Simplify 6*(((sqrt(275) + -3)*5)**2 + -4). -4500*sqrt(11) + 42576 Simplify (-3*(sqrt(65) - (sqrt(65)*-3*-3 + sqrt(65))))/(-6*(sqrt(5) - (sqrt(5) - sqrt(20)/sqrt(4))) + sqrt(5) + (sqrt(5) - sqrt(50)/(sqrt(20)/sqrt(2)))). -27*sqrt(13)/5 Simplify (-4*5*2*sqrt(448) + (sqrt(448) - (-3*sqrt(448) + sqrt(448) + 1))*5)**2. 2000*sqrt(7) + 280025 Simplify 6*(-4 + sqrt(32)) - (1 + ((sqrt(32) + -2)**2 - sqrt(32))). -61 + 44*sqrt(2) Simplify (3*sqrt(5)*2*5 + (sqrt(45)*-1 - sqrt(45))/sqrt(9) + sqrt(320)/sqrt(4))**2. 5120 Simplify (5 + (-3 + sqrt(98) + 1)*-1)**2 + -3. -98*sqrt(2) + 144 Simplify 1*4*6*((sqrt(1300) - (sqrt(1300) - (-5 + -2*sqrt(1300))))**2 - (-1 + -2*sqrt(1300) + sqrt(1300))**2). 4320*sqrt(13) + 94176 Simplify (6*(sqrt(1100) + -2 + sqrt(1100)) + 0)**2 + -5. -2880*sqrt(11) + 158539 Simplify (-2 + (sqrt(2401)*-1 - sqrt(49))/(sqrt(567) - (sqrt(567) + (sqrt(567) - -5*sqrt(567)))))**2. -16*sqrt(7)/27 + 3028/729 Simplify ((6*sqrt(190)*-1 - sqrt(190))*6)/(sqrt(250) - (sqrt(250) - (sqrt(250) + (sqrt(250) - 2*sqrt(250)*-5)))). -7*sqrt(19)/10 Simplify 3 + sqrt(3072)*2 + -5 + 3. 1 + 64*sqrt(3) Simplify (sqrt(1331) - (0 + sqrt(1331)*-3))*2 + 0 + (sqrt(1331) - (sqrt(1331) - (1 + sqrt(1331))*2)). 2 + 110*sqrt(11) Simplify (6*-2*sqrt(363))**2 - (sqrt(54)/sqrt(2) - sqrt(27))/sqrt(9)*-6. 52272 Simplify (5*(2 + 0 + 1 + 2 + sqrt(448)*1))**2. 2000*sqrt(7) + 11825 Simplify 4 + (-3 + sqrt(114)/sqrt(24))*-2. -sqrt(19) + 10 Simplify ((-1*sqrt(40)/sqrt(2) - ((sqrt(60) - (sqrt(60)*1 - sqrt(60) - sqrt(60)))/sqrt(3) + sqrt(20)))/(sqrt(60)/((sqrt(120)/sqrt(5))/sqrt(4))))**2. 32 Simplify ((3*2*sqrt(1911))/((sqrt(48)/(sqrt(8)*2) - sqrt(6))/sqrt(2)))**2. 91728 Simplify ((sqrt(75)*-2)/sqrt(5)*2)/(2*(-2*sqrt(500) + sqrt(500))). sqrt(3)/5 Simplify (-2*(sqrt(243)*-2*-6*1 + 2))**2. 1728*sqrt(3) + 139984 Simplify ((sqrt(216) + sqrt(216)*-1)/sqrt(8) - sqrt(81)/(-1*sqrt(3) - sqrt(3)))/(sqrt(90)/sqrt(90) + ((sqrt(72) + -1*sqrt(72) + sqrt(72))/sqrt(8) - sqrt(9))). 3*sqrt(3)/2 Simplify (sqrt(1100) - -1*(sqrt(1100) + -4) - (-5 + -5 + (sqrt(11) + -4 - sqrt(11))))**2. 400*sqrt(11) + 4500 Simplify -6*sqrt(65)/(2*sqrt(5)) + (sqrt(39) + -2*(sqrt(624) - sqrt(39)))/sqrt(3). -8*sqrt(13) Simplify -1*((sqrt(363)*2)**2 + sqrt(21)/sqrt(63) + (4*(sqrt(6)/sqrt(2))**2 - (1 + (2 + sqrt(3) - sqrt(3)))**2)). -1455 - sqrt(3)/3 Simplify (6*(sqrt(165)*1)/sqrt(11))/(sqrt(75) + sqrt(75)*-2 - 5*sqrt(6)/sqrt(2)). -3*sqrt(5)/5 Simplify (3*((sqrt(133) - (sqrt(133) + 1*sqrt(133)*1 - sqrt(133))) + sqrt(133))/((sqrt(63)*2 - sqrt(7)) + sqrt(7)))**2. 19/4 Simplify (5*((sqrt(832) + -2 + sqrt(832))*-4 + sqrt(832)*1 + -2) + 1)**2. -17360*sqrt(13) + 1020161 Simplify (3*(2*sqrt(243))**2 + sqrt(243) + (-1 + sqrt(243))*4)*-5. -14560 - 225*sqrt(3) Simplify (4*(sqrt(11) + 1) + sqrt(11) + 0 + -5 - (sqrt(1584) - (1 + sqrt(1584) + 5)))**2. 50*sqrt(11) + 300 Simplify -5*-4*(-5 + -1*sqrt(3) - (sqrt(3) + (sqrt(3) - 6*(sqrt(3) + sqrt(3)*-1)) + sqrt(3) + sqrt(3))). -100*sqrt(3) - 100 Simplify -3 + -1*(sqrt(588) + 1*sqrt(588)*-6)**2. -14703 Simplify ((sqrt(392)/sqrt(8)*4)/(sqrt(112)*-2) + -5)**2. 5*sqrt(7) + 107/4 Simplify (-1 + (sqrt(176) - sqrt(176)*-2) + -2 + -1 + ((sqrt(176)*2 - sqrt(176)) + -1 - sqrt(176)))**2. -120*sqrt(11) + 1609 Simplify (-3*(4*(3 + sqrt(5)) + sqrt(320) + -2))**2*-1. -7380 - 2160*sqrt(5) Simplify (1 + (3 + (sqrt(2) - (sqrt(2) + 0 + sqrt(2))) + -3*(0 + sqrt(2)) - (4*sqrt(32) + (sqrt(2) - (sqrt(98) + -1*sqrt(98) - sqrt(98) - sqrt(98))))))**2. -280*sqrt(2) + 2466 Simplify -3 + (sqrt(104)/((sqrt(50)/sqrt(5))/sqrt(5)) + 1)*-1. -2*sqrt(13) - 4 Simplify 3*(sqrt(275) + -5)**2 - (sqrt(275)*2 + -4). -160*sqrt(11) + 904 Simplify ((1*(sqrt(121) + sqrt(121)*-2 + sqrt(121) + sqrt(121))*-5)/(sqrt(3564)*-1 - sqrt(3564)) + 4)**2. 10*sqrt(11)/9 + 21011/1296 Simplify -3 + sqrt(1053)*1 + 2*sqrt(468)*3. -3 + 45*sqrt(13) Simplify ((sqrt(3) + 1)*-2)**2 - (1*(sqrt(3) + -1))**2 - (sqrt(3) + 1 + 2)*-5. 15*sqrt(3) + 27 Simplify ((sqrt(132) + 2*sqrt(132))*-6*-4)/(2*5*sqrt(192)). 9*sqrt(11)/5 Simplify -1 + (sqrt(51) - -6*sqrt(459))/sqrt(108). -1 + 19*sqrt(17)/6 Simplify (-3*sqrt(768) - sqrt(768) - sqrt(768))*1 - sqrt(768) - ((sqrt(48) - (sqrt(240)/sqrt(5) + -3))**2 + 5). -96*sqrt(3) - 14 Simplify 4 + -1 + sqrt(32) + 0 + -5 + (sqrt(288) + -1)**2 + sqrt(288) + 1. -8*sqrt(2) + 288 Simplify ((-1*sqrt(300) - sqrt(300) - sqrt(300))*1 + -5 + 6*-2*sqrt(300)*-4)**2. -4500*sqrt(3) + 607525 Simplify ((-4*sqrt(700))/sqrt(4))**2 + (sqrt(84)*-2)/sqrt(3). -4*sqrt(7) + 2800 Simplify -2 + -5*(4*sqrt(20) + -4) + 0. -40*sqrt(5) + 18 Simplify 2 + (sqrt(11) + ((-1 + sqrt(11))*-3 - sqrt(11))**2 - (sqrt(11) + sqrt(11)*4 + -5))*3. -84*sqrt(11) + 572 Simplify (-5*sqrt(119)*5)/(5*sqrt(448)). -5*sqrt(17)/8 Simplify ((-5 + (sqrt(7) - (-2 + sqrt(7))) + 4)*4)**2 + -1. 15 Simplify ((sqrt(7)*2*-6 - sqrt(35)/sqrt(405))*1)**2. 83167/81 Simplify (3*(-1 + (sqrt(196)/(sqrt(21)/sqrt(3) + sqrt(7)) - (5 + sqrt(112)/sqrt(4)))))**2. 108*sqrt(7) + 387 Simplify (sqrt(1539)*1 + -3 - (2 + (sqrt(1539)*-1)**2)) + -5. -1549 + 9*sqrt(19) Simplify (sqrt(13) - (sqrt(104)/sqrt(128))**2) + 3 - ((sqrt(13)*1*-4)**2 + -2). -3261/16 + sqrt(13) Simplify ((5*sqrt(1573)*-2 + (sqrt(1573) + 5*sqrt(1573) + sqrt(1573))*-2)*-3)**2. 8154432 Simplify 6*(-2*sqrt(2) + 4) - sqrt(10)/((sqrt(180) - sqrt(5))*6). -361*sqrt(2)/30 + 24 Simplify ((1 + sqrt(76) + (sqrt(19) - sqrt(304)*3))*-3 + 0)**2. -162*sqrt(19) + 13860 Simplify -1*(-6*(sqrt(88) + -5*((sqrt(88) - (-2*sqrt(88) + sqrt(88))) + sqrt(88)) - sqrt(88)))/(sqrt(968)*1*3). -30*sqrt(11)/11 Simplify 5 + ((sqrt(360)/sqrt(108))/sqrt(5))/((sqrt(105)/(sqrt(15)/sqrt(3)))/sqrt(7)). sqrt(2)/3 + 5 Simplify (sqrt(200) + 2*sqrt(200))/(sqrt(10) - (3*sqrt(90))/sqrt(9) - sqrt(10)). -2*sqrt(5) Simplify sqrt(637)*-1 - sqrt(104)/(sqrt(8) - sqrt(200)) - (sqrt(468)/(sqrt(48)/sqrt(4)))/(sqrt(15)/sqrt(45)). -39*sqrt(13)/4 Simplify sqrt(76) + 4 + sqrt(76)*2 + (2 + sqrt(76) - sqrt(76))**2*6 - (4 + 3 + sqrt(76) + 2). 4*sqrt(19) + 19 Simplify 1 + (sqrt(80) + -1 - sqrt(80)) + (((-1*sqrt(5))**2 - sqrt(5))*-4 - (-2*sqrt(10))/sqrt(2)). -20 + 6*sqrt(5) Simplify ((-2*sqrt(80)*5)/sqrt(4))/(-5*(sqrt(400)*2 + sqrt(400) - sqrt(400)) - sqrt(400)). sqrt(5)/11 Simplify (-2*sqrt(432))/(sqrt(1764) + sqrt(36)) + 3. -sqrt(3)/2 + 3 Simplify (-4*sqrt(114)/sqrt(3))/(sqrt(22)/sqrt(44) + sqrt(2))*4. -32*sqrt(19)/3 Simplify (0 + -4 + 4 + -4*(sqrt(175) + 2))**2. 320*sqrt(7) + 2864 Simplify -1 + -4 + -2*((sqrt(243) + -1)*-4)**2*2. -15621 + 1152*sqrt(3) Simplify (3*2*(-2*sqrt(68) - sqrt(68)))/(4*sqrt(256)*-2). 9*sqrt(17)/32 Simplify (4*sqrt(5103))/((sqrt(63) + sqrt(63)*3)/sqrt(7)). 9*sqrt(7) Simplify (sqrt(143) + 5*(sqrt(143)*-3 - sqrt(143)) + sqrt(143))/sqrt(11) + (sqrt(117) + 2 - (sqrt(52)*3 - sqrt(13))). -20*sqrt(13) + 2 Simplify ((sqrt(170) - (sqrt(170) - 1*sqrt(170)*1)) + sqrt(170) + -5*sqrt(170)*2)/(-3*(sqrt(160) + 1*sqrt(160))). sqrt(17)/3 Simplify ((sqrt(170) + (3*sqrt(170) + sqrt(170))*4)*5)/(sqrt(10) - (1*sqrt(110) - sqrt(110))/sqrt(11) - -1*sqrt(10)*-6). -17*sqrt(17) Simplify 4 + -3 + ((sqrt(1216) + 1 + -5 - ((-2*sqrt(1216) + sqrt(1216) - sqrt(1216)) + 3)) + 2)**2. -240*sqrt(19) + 10970 Simplify (((sqrt(1344) - 1*sqrt(1344)) + sqrt(1344))/sqrt(7) + (sqrt(33)/(2*sqrt(11) - sqrt(11)) - sqrt(27)/sqrt(36)))**2. 867/4 Simplify ((sqrt(304)*2*-3 + -2 + sqrt(304) + sqrt(304)*-4 + sqrt(304))*-2)**2. 512*sqrt(19) + 77840 Simplify (4 + sqrt(1900) + -2)**2 + sqrt(1900) + 3 + -3. 50*sqrt(19) + 1904 Simplify 0 + 2 + -1 + (sqrt(104) + -2*sqrt(104))/sqrt(8)*3. -3*sqrt(13) + 1 Simplify ((sqrt(128) - (sqrt(128) - (sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) - 5*-1*sqrt(128))) + sqrt(128))))/(-6*(sqrt(4) - 6*sqrt(12)/sqrt(3))))**2. 32/225 Simplify -4*(-2*((sqrt(108))**2 + -5) - -4*(sqrt(300) + sqrt(300)*-2)). 160*sqrt(3) + 824 Simplify sqrt(315)/sqrt(7) - (sqrt(605)*-1 - sqrt(605))**2 - (4 + (sqrt(60)/(sqrt(12)*4 + sqrt(12)))**2). -12121/5 + 3*sqrt(5) Simplify 2*((4*(sqrt(495) + sqrt(495) + 1*sqrt(495) + sqrt(495))/sqrt(11)*6)**2 + 0). 829440 Simplify (sqrt(190) - 3*(sqrt(190) + -1*sqrt(190)))/(sqrt(540)/sqrt(6)) - -5*(0 + sqrt(171)/(2*sqrt(9)))**2. sqrt(19)/3 + 95/4 Simplify (-3 + sqrt(1584) + 1 + sqrt(1584) + 0 + -2 + ((sqrt(1584)*-2 - sqrt(1584)) +
{ "pile_set_name": "DM Mathematics" }
-0.05, -2/5, -5, -7 Put -4/3, 181, 5 in descending order. 181, 5, -4/3 Sort -6, -5, 121. -6, -5, 121 Put 0, -5, 1/2, -19/2, 1, 2/11 in ascending order. -19/2, -5, 0, 2/11, 1/2, 1 Put -0.05, 5, 35, 5.14, -4 in increasing order. -4, -0.05, 5, 5.14, 35 Sort -3/13, 1/24, 734, 5 in descending order. 734, 5, 1/24, -3/13 Sort 829, -3, 128 in increasing order. -3, 128, 829 Put -17, 6/11, -908 in ascending order. -908, -17, 6/11 Put -46, 5, 326 in ascending order. -46, 5, 326 Sort 7, 2, -231, -2, -3, -108 in descending order. 7, 2, -2, -3, -108, -231 Put 487, -4, 26 in descending order. 487, 26, -4 Sort -2, -92, 5, 39 in ascending order. -92, -2, 5, 39 Sort 57, 511, -5 in decreasing order. 511, 57, -5 Sort -4, 647, 2, -19. -19, -4, 2, 647 Sort -3, 0, -202, 38 in descending order. 38, 0, -3, -202 Sort -2, -6, -3/5, -15/2, 2/17 in decreasing order. 2/17, -3/5, -2, -6, -15/2 Sort -101, -5, 18, 0, 2, 4 in increasing order. -101, -5, 0, 2, 4, 18 Sort 20, -51, -2, -1, -7 in descending order. 20, -1, -2, -7, -51 Sort -3/2, 2/3, 0.2635. -3/2, 0.2635, 2/3 Sort 0.2, -5, -138, 0.5, 5 in decreasing order. 5, 0.5, 0.2, -5, -138 Sort 0.04, -1/10, -2/5, 4, -2, 607. -2, -2/5, -1/10, 0.04, 4, 607 Sort -0.16, 2/9, -1, 2.1, 1/3, 3. -1, -0.16, 2/9, 1/3, 2.1, 3 Sort 1, 4, -56, 7 in descending order. 7, 4, 1, -56 Sort 4, -53833, -1 in ascending order. -53833, -1, 4 Sort 5, -2, 69898, -3. -3, -2, 5, 69898 Sort 646, 4, 224, -5. -5, 4, 224, 646 Sort 3/8, 4, 0.18, -31, -33/4. -31, -33/4, 0.18, 3/8, 4 Sort 224, -4258, -3 in ascending order. -4258, -3, 224 Put -0.016, 4, 3/4, -2, -7 in increasing order. -7, -2, -0.016, 3/4, 4 Sort -62, -3, -42. -62, -42, -3 Put 5, 0.011, 2, -10 in descending order. 5, 2, 0.011, -10 Put -1, -45, -4922 in increasing order. -4922, -45, -1 Sort -2, 0, 3, 1640, -56 in descending order. 1640, 3, 0, -2, -56 Sort 3090, -5, -1, 9, -4, 5. -5, -4, -1, 5, 9, 3090 Sort 4, -18, -78, 2, 11, -2 in increasing order. -78, -18, -2, 2, 4, 11 Put 208, -1, 3, 4 in descending order. 208, 4, 3, -1 Put 21/95, 5, 9, 3 in increasing order. 21/95, 3, 5, 9 Sort -2, -7326, -4 in ascending order. -7326, -4, -2 Sort -8, -5, -4, -39, 214 in increasing order. -39, -8, -5, -4, 214 Put 5, -2, -941, 24 in increasing order. -941, -2, 5, 24 Put -10, -2, -4, 9, 4 in decreasing order. 9, 4, -2, -4, -10 Put -5, -999, 1, 12, -2 in descending order. 12, 1, -2, -5, -999 Sort -4, -2555, 5 in increasing order. -2555, -4, 5 Sort 9, -255, 41 in descending order. 41, 9, -255 Put -2610, -104, -3 in decreasing order. -3, -104, -2610 Put -0.2, -69, -2/175 in descending order. -2/175, -0.2, -69 Put 4613, 0, 5, -1 in decreasing order. 4613, 5, 0, -1 Sort 2/11, 1695, -2, 1 in ascending order. -2, 2/11, 1, 1695 Sort 15, 17, 5, 1, -4. -4, 1, 5, 15, 17 Put 0, -3, -8, -2, -5 in increasing order. -8, -5, -3, -2, 0 Put 8, -143, 4, 71 in ascending order. -143, 4, 8, 71 Sort 4, -1, 1319, -2 in ascending order. -2, -1, 4, 1319 Sort -1, 3, -5, 0, 1082. -5, -1, 0, 3, 1082 Put 1, 3, -22, 0, 15 in increasing order. -22, 0, 1, 3, 15 Put -1/50, 1.1, -0.043 in decreasing order. 1.1, -1/50, -0.043 Sort 4, -303, 223 in increasing order. -303, 4, 223 Put 79, 3, 11344 in increasing order. 3, 79, 11344 Sort -2, -2/11, 1/5, 3/184, -1/5 in descending order. 1/5, 3/184, -2/11, -1/5, -2 Sort -5, -1, 2, 1215, -2 in decreasing order. 1215, 2, -1, -2, -5 Put -0.4, -2, 0, -4919 in increasing order. -4919, -2, -0.4, 0 Sort 2, -1, -8/7, -2224, -3, 5 in descending order. 5, 2, -1, -8/7, -3, -2224 Put -2/15, -2916, 123 in descending order. 123, -2/15, -2916 Sort 1/4426, 3, 0.3, 1/5 in decreasing order. 3, 0.3, 1/5, 1/4426 Put -111, -12, -3, 1/10, 1/3 in increasing order. -111, -12, -3, 1/10, 1/3 Put 6, 0.1, 39, 5/3, 1 in descending order. 39, 6, 5/3, 1, 0.1 Sort 0.1, -12.366, -0.5 in decreasing order. 0.1, -0.5, -12.366 Sort 2, 7/34351, 0.2. 7/34351, 0.2, 2 Put 2, 1, 4, 0.09, 7 in descending order. 7, 4, 2, 1, 0.09 Put -3, -8, 28, 5, -5 in increasing order. -8, -5, -3, 5, 28 Sort 5, -560, -2 in increasing order. -560, -2, 5 Sort 3, 1315, -12 in descending order. 1315, 3, -12 Sort -30150, -1.7, 2/5 in decreasing order. 2/5, -1.7, -30150 Put -2, 191, 363 in ascending order. -2, 191, 363 Put -2/9, -13, -0.3, -2, -710 in ascending order. -710, -13, -2, -0.3, -2/9 Sort -3/2, -4, 0.2, -3501, -3, 1. -3501, -4, -3, -3/2, 0.2, 1 Sort -19, -6189, 1 in ascending order. -6189, -19, 1 Sort 7668, -0.1, -9 in decreasing order. 7668, -0.1, -9 Sort -54, 3, 4, 27 in decreasing order. 27, 4, 3, -54 Sort -0.3, -1/10, 1/20, 2/25 in ascending order. -0.3, -1/10, 1/20, 2/25 Sort 380/13, -3, 0. -3, 0, 380/13 Put 1136, -1, 1 in descending order. 1136, 1, -1 Sort 4, -2/3, 155, 0.16 in decreasing order. 155, 4, 0.16, -2/3 Put 7, -2, 2, 1, -88 in decreasing order. 7, 2, 1, -2, -88 Put -0.09, -1/3, 0.3, -2 in ascending order. -2, -1/3, -0.09, 0.3 Sort 0.1, -0.05, 2/3, -4, 1/2. -4, -0.05, 0.1, 1/2, 2/3 Sort 1/35, 6, -0.3, -2/5, 4, 0 in increasing order. -2/5, -0.3, 0, 1/35, 4, 6 Sort -1, -42, -5, 0, -2 in decreasing order. 0, -1, -2, -5, -42 Sort 6, -1, 4, -18. -18, -1, 4, 6 Sort -5, -25572, -2 in increasing order. -25572, -5, -2 Sort -3/7, -2/9, 4, 1/4, 728 in ascending order. -3/7, -2/9, 1/4, 4, 728 Sort 2/3, -4, 186, 8, -5 in descending order. 186, 8, 2/3, -4, -5 Sort -3, 38, -248, -17. -248, -17, -3, 38 Sort -2/1249, -2, 0.0954 in increasing order. -2, -2/1249, 0.0954 Sort 23, -3, -1, -4, -19 in ascending order. -19, -4, -3, -1, 23 Put 3, 244, -14 in descending order. 244, 3, -14 Put 22, 0.05, -1/9, 13.1, 0.3 in descending order. 22, 13.1, 0.3, 0.05, -1/9 Sort 5, 1, -3, -4, 4, 19 in increasing order. -4, -3, 1, 4, 5, 19 Put 2, 4, -11, -2, -0.1 in decreasing order. 4, 2, -0.1, -2, -11 Put 0, -5, 3, -1, 4, 28 in ascending order. -5, -1, 0, 3, 4, 28 Sort 45, -16, 1, 3 in ascending order. -16, 1, 3, 45 Sort -48/11, 2/9, -13/3, 5 in increasing order. -48/11, -13/3, 2/9, 5 Sort 0.9, 0.03, -1, 0.14 in ascending order. -1, 0.03, 0.14, 0.9 Put -4, 0, -3, -5, -1, -19 in increasing order. -19, -5, -4, -3, -1, 0 Sort -4, -2, 7282 in ascending order. -4, -2, 7282 Put -1/3, 61, -386, -1, 0.2 in descending order. 61, 0.2, -1/3, -1, -386 Put 3, -13, -3, 79, 0, 1 in descending order. 79, 3, 1, 0, -3, -13 Put -86, 2, -5, -2, 0 in decreasing order. 2, 0, -2, -5, -86 Sort -71, 7805, 1, 5 in decreasing order. 7805, 5, 1, -71 Sort -1, -2, 3555, -3/2 in decreasing order. 3555, -1, -3/2, -2 Sort -8, -24, 18, -2 in increasing order. -24, -8, -2, 18 Sort -39, 0.2, -0.152 in increasing order. -39, -0.152, 0.2 Sort 1/3, -6.6, 0.32, -0.1 in decreasing order. 1/3, 0.32, -0.1, -6.6 Put -3, -873, 5, -6 in ascending order. -873, -6, -3, 5 Put 0.02565, 2/7, -0.3, -3/20 in increasing order. -0.3, -3/20, 0.02565, 2/7 Put -0.01, 0.02, -1/4, 2, 1 in increasing order. -1/4, -0.01, 0.02, 1, 2 Sort -0.3, 0.49, 7953, 0.1. -0.3, 0.1, 0.49, 7953 Put -1, 4, 56/53, 0.4 in descending order. 4, 56/53, 0.4, -1 Sort -5, -13292, -2/157. -13292, -5, -2/157 Sort -9, -11367, 3 in ascending order. -11367, -9, 3 Sort -1, -4, -110, 62, 5 in decreasing order. 62, 5, -1, -4, -110 Put -1, -0.5, -0.57, -1/8, 1.3 in increasing order. -1, -0.57, -0.5, -1/8, 1.3 Sort 5, -32, 6, -823, -5, 0 in descending order. 6, 5, 0, -5, -32, -823 Sort -312, 37, 7 in increasing order. -312, 7, 37 Sort -0.2, 4/31, -4/9, 0.4, -4, 1.2 in ascending order. -4, -4/9, -0.2, 4/31, 0.4, 1.2 Put 3, 0, 214, 5, -2 in ascending order. -2, 0, 3, 5, 214 Sort -0.2, -1/8, -6320 in decreasing order. -1/8, -0.2, -6320 Put -91, -25, 1, -7 in descending order. 1, -7, -25, -91 Sort -37/6, 0.1, -18, 2/43 in descending order. 0.1, 2/43, -37/6, -18 Put 0, -1, 267, -0.1, -5 in decreasing order. 267, 0, -0.1, -1, -5 Put -114, 20, 1 in ascending order. -114, 1, 20 Put -24, -277, 2 in ascending order. -277, -24, 2 Put -284, 0.714, 3/5, -2 in ascending order. -284, -2, 3/5, 0.714 Sort -4, 3235, -18 in descending order. 3235, -4, -18 Put -2, -42, 5, -6270 in descending order. 5, -2, -42, -6270 Put 0.07, -8/669, 0.2, 5, 3, -2/3 in ascending order. -2/3, -8/669, 0.07, 0.2, 3, 5 Put 4, 337, 43 in increasing order. 4, 43, 337 Put -10, -3, 1, 103, -4, -8 in ascending order. -10, -8, -4, -3, 1, 103 Put 3, -0.11, -0.791 in decreasing order. 3, -0.11, -0.791 Sort -1, 0,
{ "pile_set_name": "DM Mathematics" }
- d**3 - 4*d + (2*d**2 - 4*d**2 + d**2)*(2*d - 3*d - d) - 2*d**3 + 0 + 0. 3*d**3 + 8*d Expand (0*o + o - 2*o)*(-4 + 2 + 1)*(-2 + 0 + 0)*(0*o**3 + o**3 - 112*o + 110*o). -2*o**4 + 4*o**2 Expand -135*v**5 + 163*v**3 - 163*v**3 + (4*v**4 + 2*v**5 - 4*v**4)*(-9 - 2 - 1) - 2*v + 2*v + 2*v**5 + (1 - 1 - 2*v**5)*(-3 + 5 - 4) + 2*v**5 - 3 + 3. -151*v**5 Expand (a**2 + 17 - 7 - 8)*(4 + 18*a**2 - 12*a**2 + a**2). 7*a**4 + 18*a**2 + 8 Expand (-5*r**2 + 3*r**2 + 4*r**2)*(4*r - r - 4*r + (2*r + 0*r - r)*(0 + 0 - 2) - 643 + 35*r + 643 + 3*r - r + 6*r + (-1 - 2 + 1)*(-1 - r + 1)). 84*r**3 Expand (198*h - 198*h + 10*h**2)*(4*h**2 - h**2 - 2*h**2 + (-2 + 3 + 2)*(2*h**2 - h**2 + 18*h**2)). 580*h**4 Expand (3 - 2*z - 3)*(-87*z - 34*z + 241*z) - 181*z**2 - 180*z**2 - 1 + 6 - 5 + 2*z**2 - 3 + 3. -599*z**2 Expand (32 - 113*m**3 - 32)*(0 + 2 + 4) - m**3 + 0*m**3 + 2*m**3. -677*m**3 Expand -3*k + 3*k - 2*k**4 + (-7 + 2 - 7)*(-k + 4*k - 2*k)*(-144*k**2 + 2*k + 9 - 3*k**3 + 144*k**2). 34*k**4 - 24*k**2 - 108*k Expand 0*o - 6*o**3 - 3*o**3 + 0*o + (-2*o - o + o)*(0 - 6*o**2 + 0)*(-118 + 20 - 31). -1557*o**3 Expand ((-2 + 6 - 1)*(-955 + 36*n + 955)*(-2 + 1 + 5) + 2*n - 4*n + 4*n)*(-3 + 0 + 5)*((0 + 0 + 1)*(4 + 0 - 2) - 9 + 7 + 4). 3472*n Expand (105*c + 27*c**2 - 114*c - 20*c**2)*(105*c - 204*c + 66*c). -231*c**3 + 297*c**2 Expand (-6*i**2 + 12*i**2 + 5*i**2)*(i + 1 - 1)*(61 - 14 + 28). 825*i**3 Expand (3 - 1 + 0 + (-1 + 0 + 3)*(6 - 1 - 3) + (2 + 0 + 2)*(-1 + 0 + 2) + 20 + 4 - 8)*(s - 3*s + 3*s + (0 + 2*s + 0)*(-2 + 1 - 1) - 3 + 3 + s). -52*s Expand (-161 + 214 + 225)*(7 - 7 - 6*z**3) + (0*z - 2*z**2 + 0*z)*(2*z + 0*z - 3*z). -1666*z**3 Expand ((8*p + 3*p - 17*p)*(p**2 - p + p + (-5*p + 5*p - p)*(p + 0*p - 2*p)) + 39*p**3 + 14*p**3 - 10*p**3)*(0*p - p - 2*p). -93*p**4 Expand 5*i**3 - i**4 - 5*i**3 + (i**2 - 4*i**2 + i**2)*(-1 + 1 + 2*i**2) - 53*i + 22*i - 3*i**4 + 94*i + 3*i**3. -8*i**4 + 3*i**3 + 63*i Expand (2 - 2 - 1)*(-523 + 13*b - 60*b**3 - 14*b + 522)*(4*b - 6*b - b). -180*b**4 - 3*b**2 - 3*b Expand 3*n**2 - 15*n + 15*n + (-10 + 10 - 4*n)*(-n - 3*n + 2*n) + 17*n - 17*n - 20*n**2. -9*n**2 Expand (5 - 5 + h)*(-3 - 3 + 3)*((-2 + 3 + 0)*(-1 + 5 - 3) - 21 + 13 + 26)*(3 - 3 + 2). -114*h Expand (0*w + 2*w - w)*(-5*w + 3*w + 7*w) - w**2 + 4*w**2 - 2*w**2 - 13*w**2 - 38*w**2 - 2*w**2. -47*w**2 Expand (-f**2 - 3*f**2 + 2*f**2)*(7*f - 12*f - 8*f) + 21*f**3 + 32*f**3 + 313*f**3. 392*f**3 Expand (11*n**2 + 4 - 9*n**2 - 5 + 9*n)*(-9*n**2 - 7*n**2 - 16*n**2). -64*n**4 - 288*n**3 + 32*n**2 Expand 11 - 10*i - 21*i - 11 + (1 - 1 - i)*(-48 + 97 - 42). -38*i Expand -6*p**5 + 7*p**5 + 25*p**5 + (-5*p**3 + 4 - 4)*(6*p + 7 - 7)*(-4*p + 6*p + 0*p). -34*p**5 Expand (-2 + 2 + 4*c**2)*(4*c**3 + 462300*c - 462300*c - 26*c**2). 16*c**5 - 104*c**4 Expand (-2*d**3 + 2*d**3 + 8*d**3)*(1 + 1 + 0) + 14173*d**2 + 2 - 5*d - 14173*d**2 + 6*d**3. 22*d**3 - 5*d + 2 Expand -4*a - 2*a + 3*a + (-3*a + 0*a + 10*a)*(316 - 629 + 327). 95*a Expand (4 - 4 - 5*n)*(3 + 1 - 2) + (3*n + n - 2*n)*(6 - 1 - 3) + (-5 + 4 + 2)*(7*n + 40 - 40). n Expand -1 + f + 1 - 2*f + 4*f - f + (-2 - 2 + 2)*(-2 + 2 + 2*f) + 219*f + 68 + 61 - 131. 217*f - 2 Expand (-10*l + 38*l**2 - 13388 + 26768 - 13379)*(-l**2 + 3*l - 3*l)*(0*l + 2*l - l). -38*l**5 + 10*l**4 - l**3 Expand (5 - 2 - 4)*(0*r - r + 0*r) - 8*r + 9*r + 15*r + 3*r - 7*r + 0*r + 0 + 0 - r + 2*r - 4*r - 4*r + (-5*r + 4*r + 3*r)*(3 - 3 + 1). 8*r Expand (-47*r - 70*r + 86*r)*(-340 + 407 - 192). 3875*r Expand (-1 - 3 - 1)*(5*z**3 + 4*z - 13*z**2 + 13*z**2) + 19*z**3 - 11*z**3 + 19*z**3 + (-2 + 3 + 2)*(2*z**3 - 5*z**3 + z**3). -4*z**3 - 20*z Expand (5371*q - 7*q**2 - 5371*q)*(0 + 7 - 2). -35*q**2 Expand 3*h**4 + h**4 - 2*h**4 + (-5*h**2 - 70 + 70)*(20*h**2 - 5429*h + 5429*h). -98*h**4 Expand (-4 + 0 - 6)*(-36 - 25 + 15)*(2*b**5 + 7*b**5 - 4*b**5). 2300*b**5 Expand (-2*h + 1 - 1)*(2*h - 2 + h - h) + (-3 + 4 + 0)*(8*h**2 + 2*h**2 - 7*h**2) - 3 - 2 + 6 - 2*h**2. -3*h**2 + 4*h + 1 Expand (-3*t - 3*t + 5*t)*(-6*t + 2*t + 2*t)*(54537 - 54537 + 1426*t) + (-2 - 2*t + 2)*(2*t**2 - 6*t**2 + 3*t**2) - 4*t**2 + 2*t**3 + 4*t**2 + 0*t + t**3 + 0*t. 2857*t**3 Expand (493 + 758 + 11)*(18 - 18 + 6*o**5). 7572*o**5 Expand 3*f + f - 3*f + (3 + 3 - 7)*(478*f - 171*f + 286*f). -592*f Expand (134*t**3 + 82*t**3 - 137*t**3)*(-3*t + 2 - 2). -237*t**4 Expand (-25*b**3 + b**3 - 98*b**3)*(1 - 6 + 2)*(-3 + 0 - 2). -1830*b**3 Expand (3*q**3 - q**3 - q**3)*(4*q**2 - q**2 - 2*q**2) - 453*q**5 + 237*q**5 - 2 + 85*q + 219*q**5. 4*q**5 + 85*q - 2 Expand (g**4 - 5*g**4 + 2*g**4)*(-g + 3 - 3) - 1914*g**5 + 374*g**5 - 242*g**5. -1780*g**5 Expand 2*d**4 + d**4 - 5*d**4 - 6760*d + 96*d**4 + 6760*d + (2*d**3 + 8*d**3 - 5*d**3)*(-d + 0 + 0). 89*d**4 Expand (12*p**2 - 120*p**2 + 11*p**2)*(4 - 4 + 5*p**3) + 8*p**5 - 15*p**5 + 6*p**5. -486*p**5 Expand ((-4 + 1 + 0)*(-4*i + i + 2*i) - i - 5*i + 4*i)*((-3 - 1 + 2)*(2 - 2 - 1) + 9 - 7 + 12). 16*i Expand -38 - 2*v**4 + 9014*v - 9022*v + 31*v**2 + 37 + (-3*v**2 + 0*v**2 + 4*v**2)*(-4*v**2 - 2*v**2 + 7*v**2). -v**4 + 31*v**2 - 8*v - 1 Expand 23*n - 8*n**2 - 23*n + (7*n - n - 4*n)*(0 + 3 - 1 + (-3 + 4 + 0)*(0 + 2 + 2))*(6*n + 10*n - 6*n). 112*n**2 Expand 2*z**4 + 3 - 3*z**4 - 4 + 13*z**3 + 21*z**4 - 13*z**3 + (-z**2 + 4*z**2 - 2*z**2)*(0*z**2 - 6*z**2 + 4*z**2) + (-20*z + 9*z**3 + 20*z)*(2*z + 4*z + z). 81*z**4 - 1 Expand 14*x**4 - 8*x**3 + 4*x**3 + 9*x**3 - x**4 + 0*x**4 + 3*x**4 - 29*x**4 - 25*x**4 + 32*x**4 + (3 - 5 + 4)*(x**4 - 3*x**2 + 3*x**2). -4*x**4 + 5*x**3 Expand (2*m**3 + 0*m**3 - m**3)*(-20*m - 58*m - 56*m) + 216*m**2 + 9*m**4 - 216*m**2. -125*m**4 Expand (271 + 468 - 144 + 85 + 156)*(-12*a - 9*a - 4*a). -20900*a Expand (112 + 26 - 129 - 309*f)*(1 + 0 + 2). -927*f + 27 Expand (59 - 48*c + 66 - 120)*(18*c**2 + 2*c**4 - 18*c**2). -96*c**5 + 10*c**4 Expand 1125*y**3 - 357 - 560*y**3 - 567*y**3 + (0*y + 0*y + y**2)*(2*y + 0*y - 3*y) - 4*y**3 + 3*y**3 + 5*y**3. y**3 - 357 Expand (-4771*v**2 + 230983*v + 28654*v**2 - 230983*v)*(1 - 1 + v**3). 23883*v**5 Expand (-4 + 2 - 1)*(-13*k**2 - 148 + 148 + (-k**2 - 3*k + 3*k)*(-2 + 2 + 2) - 20 - 3*k**2 + 20) + (-4*k - k + 0*k)*(-2 + 2 - 3*k + (k + k - 4*k)*(-4 + 2 + 4)). 89*k**2 Expand (132 - 35 + 68 + (-6 + 1 + 4)*(0 - 1 + 2))*(2*u + 0*u - u). 164*u Expand (-7*o**2 + 8*o**2 - 2*o**2)*(o + 2*o - 2*o + (-7 + 7 + 4*o)*(2 + 3 - 3))*(-o - 2*o + 2*o). 9*o**4 Expand (-6*o + 5*o + 0*o + (5*o - 6*o - o)*(1 - 6 + 3) + o + 0*o + o + 0*o - o - o)*(-1344 - 550 - 2202 - 1158). -15762*o Expand (7 - 4 - 2)*(c + 3 - 3) + 2*c + 2*c - c + c - c + 3*c - 1460 + 1453 + 7*c - 15*c. -c - 7 Expand (32*j - 32*j + 2*j**3)*((2*j - 2*j + 4*j)*(4*j + 0*j + j) - 2*j**2 - j**2 + 0*j**2). 34*j**5 Expand (0 + 0 - l)*(-4 + 6 - 1) - 15*l + 18*l - 30*l + (1 + 5 - 5)*(-2 + l + 2). -27*l Expand (-1 + 0 + 2)*(10 + p - 10)*(-687 + 144 + 14)*(-1 + 3 - 4). 1058*p Expand (0*o**4 + 6*o**4 + o**3 - 3*o**3)*(5 - 34 - 676*o + 29). -4056*o**5 + 1352*o**4 Expand 3*y**3 - y**3 + 6*y - y + (-2*y + 0 + 0)*(23*y**2 + 61 - 61). -44*y**3 + 5*y Expand (3*q**2 - 6*q**2 + q**2)*(-4*q**3 + 3*q**3 - 2*q**3) - 2 + 2197*q**2 - 22*q**3 + q**5 - 2197*q**2. 7*q**5 - 22*q**3 - 2 Expand 2*i - i**4 - 2*i + (2*i**3 + 0*i**2 + 0*i**2)*(-4 + 4 - 2*i) + 0 + 2*i**4 + 0 - 55*i**4 + 279*i**4 + 33*i**4 + i - i + i**4. 255*i**4 Expand (-2 - 2*s - 2*s + 5*s)*(1069*s - 2122*s - 150*s**2 + 1055*s). -150*s**3 + 302*s**2 - 4*s Expand -4*n + 5*n + 0*n - n + 2*n - 2*n + (-3*n - n + 3*n)*(-1 + 0 + 3) + 75*n - 22*n + 77*n. 128*n Expand (-3 + 0 - 1 + (-4 + 3 + 2)*(-3 - 1 + 1))*(0 + 3*r + 0)*(-106 + 127 - 96). 1575*r Expand (2 - 1 + 68*x - 1)*(-6*x**4 + 10*x - 10*x) - 36 + 36 + x**5. -407*x**5 Expand (141*r**2 + 220*r**2 - 445*r**2)*(0*r + 0*r - 4*r) + (2*r**2 - 2*r**3 - 2*r**2)*(-5 + 0 + 3). 340*r**3 Expand (-2*z**3 + 23*z - 23*z)*(-292 + 292 - 450*z). 900*z**4 Expand (28193 - 28193 - 203*d)*(-2*d - 2 + 2 + (d - 2*d + 0*d)*(-3 + 1 + 3) + 48 - 48 + 23*d). -4060*d**2 Expand (2*p + 3 - 3)*(38*p**2 - 58 + 68911*p**3 + 36*p**2 - 74*p**2 + 58). 137822*p**4 Expand (-169 + 339 - 171 - 358*b)*(2*b + 4*b - 2*b)*(2 + 0 + 1)*(-1 + 1 + b**2). -4296*b**4 - 12*b**3 Expand (0 + 0 + h)*(-2 + 1 + 0) + (h - 2*h - h)*(-61 - 91 - 28) - 1 + 1 + h. 360*h Expand (5*w - 4*w + 11*w + ((-3 + 7 - 1)*(1 - 1 - 1) + 2 + 0 + 0 - 5 + 4 + 3)*(0*w
{ "pile_set_name": "DM Mathematics" }
)? 48*h**2 Let c(z) = 4*z**2. Let a(h) = -h. Let k(f) = -3 + 1 + 2 + 2*f + f**2. Let v(g) = -2*a(g) - k(g). Calculate c(v(u)). 4*u**4 Let c(s) = -9*s. Let l(o) = -o - 269. What is c(l(w))? 9*w + 2421 Let y(l) be the second derivative of -l**4/6 + 2*l. Let j(m) = -5*m**2 + 35*m + 35. Let a(d) = d**2 - 6*d - 6. Let n(p) = 35*a(p) + 6*j(p). Give y(n(r)). -50*r**4 Let c = -6 + 8. Let y(k) = 217*k**2. Let a(w) = -7*w**2. Let g(s) = c*y(s) + 63*a(s). Let h(i) = i**2. Calculate g(h(z)). -7*z**4 Let o(y) = y. Let s(m) = -5*m**2 + 2*m. Let h(q) = -2*o(q) + s(q). Let k(j) be the first derivative of -j**3/3 + 27. Calculate k(h(p)). -25*p**4 Let r(z) = z + 6. Let i be r(-4). Let p(k) = 2 + 2*k - k - i. Let o(f) = -f**2. Calculate o(p(s)). -s**2 Let s(f) = -4*f. Let b(z) be the second derivative of -5*z**4/12 - 36*z. Calculate s(b(a)). 20*a**2 Let a(c) = -c. Let p(j) be the first derivative of -7*j**3 + 5*j**2/2 - 3. Let k(s) = 10*s**2 - 2*s. Let x(g) = -5*k(g) - 2*p(g). Calculate x(a(u)). -8*u**2 Suppose 4*m - t - 73 = 0, -2*t = -0*t + 2. Let p be 1/(-6) + 57/m. Let d(q) = 1 - 1 + p*q**2. Let v(h) = -h**2. Calculate v(d(k)). -9*k**4 Let l(c) be the third derivative of c**4/12 + 4*c**2. Let a(z) = -4*z**2. What is l(a(s))? -8*s**2 Let g(p) = -36*p. Let q(i) = 65*i. Give q(g(f)). -2340*f Let j(n) be the first derivative of -n**3/3 - 4*n + 6. Let k(r) be the first derivative of j(r). Let w(p) = -2*p. Give w(k(s)). 4*s Let k(f) be the second derivative of f**4/6 - f**3/3 - f**2 - f. Let j(h) = h + 1. Let p(g) = 2*j(g) + k(g). Let o(v) = -3*v - 31 + 44 - 13. What is p(o(a))? 18*a**2 Let c(o) = -2*o - 2. Let i(z) = 8*z + 9. Let x(b) = 9*c(b) + 2*i(b). Let j(l) = -2*l + 6. Determine x(j(f)). 4*f - 12 Let j(n) = 9*n**2. Let o(d) = 2*d**2. What is o(j(u))? 162*u**4 Let c(r) = -16*r**2. Let u(d) = -2*d**2 - 11*d - 11. Let o(y) = y**2 + 6*y + 6. Let f(m) = -11*o(m) - 6*u(m). What is c(f(v))? -16*v**4 Let i(t) = -2*t + 74. Let w(g) = -3*g. What is w(i(m))? 6*m - 222 Let y(a) = 12*a. Let s(g) = 455*g**2. What is s(y(c))? 65520*c**2 Let g(y) = -6*y**2. Let l(i) = i + 1 + 0*i - 1. Calculate l(g(r)). -6*r**2 Let h(w) = 6*w**2 + 5*w - 5. Let a be (2 - -5)*(-6)/7. Let l(n) = -7*n**2 - 6*n + 6. Let s(d) = a*h(d) - 5*l(d). Let x(f) = -2*f. Give s(x(q)). -4*q**2 Let t(a) = -a. Let k be 1/(-7) - (-36)/7. Let n(d) = 4*d - k*d - 21 + 21. Determine t(n(y)). y Let k be 1 - 0 - (-8)/(-4). Let s(p) = 3*p + 15. Let q(g) = 1. Let a(j) = k*s(j) + 15*q(j). Let h(x) = x**2. Give a(h(m)). -3*m**2 Let s(j) = -3*j**2. Let x(q) = 171*q - 203*q + 4 - 4. Give x(s(t)). 96*t**2 Let b(v) = -20*v**2. Let f(p) = -12*p - 4. What is f(b(n))? 240*n**2 - 4 Let j(i) = 2*i. Let m = 21 + -18. Let t(h) = 5*h - m*h + 3*h - 2*h. Give t(j(v)). 6*v Let u(t) = -2*t**2 + 2*t + 2118. Let f(j) = -j. Give f(u(l)). 2*l**2 - 2*l - 2118 Let n(k) = 2*k**2. Let f(u) = -4*u**2 - 3*u**2 + 3*u**2. Determine f(n(s)). -16*s**4 Let t(g) = -106*g**2. Let o(a) = -18*a. What is o(t(y))? 1908*y**2 Let a(r) = -4*r. Let v(s) = -4*s. Determine v(a(c)). 16*c Let x(o) = o + 6. Let m(i) = 3*i. What is x(m(u))? 3*u + 6 Let i(m) = -216*m**2. Let b(x) = -79*x. Calculate i(b(h)). -1348056*h**2 Let y(h) be the third derivative of h**5/20 + 2*h**2. Let i(f) be the second derivative of f**4/4 + 8*f. Determine i(y(d)). 27*d**4 Let i(k) = k**2 + 2*k + 2. Let p be i(-4). Let d = p + -5. Let h(w) = -5 + w + d + w. Let l(b) = -3*b**2. Give l(h(q)). -12*q**2 Let t(x) = x. Let q(r) = 13*r - 9. Let g(h) = 3*h - 2. Let o(v) = -9*g(v) + 2*q(v). Give o(t(z)). -z Let u(g) = -5*g**2. Let i(r) = r - 2. Let n(d) = 4*d - 7. Let t(w) = 14*i(w) - 4*n(w). What is u(t(l))? -20*l**2 Let x(b) = -4*b**2. Let g(t) be the first derivative of -7*t**2/2 - 4. Let w(r) = 6*r. Let v(u) = 4*g(u) + 5*w(u). What is v(x(f))? -8*f**2 Let s(j) = 3*j + 1. Let l(p) = -p - 1. Let r(v) = l(v) + s(v). Let m(q) = -13*q + 9. Let i(g) = 3*g - 2. Let a(d) = -9*i(d) - 2*m(d). Give r(a(k)). -2*k Let j(m) = 2*m**2. Let o(x) = -x**3 - 7*x**2 - 2*x - 10. Let r be o(-7). Let t(n) = r*n + 1 - 1 + 0*n. Give t(j(f)). 8*f**2 Let w(i) = 6*i**2 - i**2 - i**2. Let n(k) = 3*k**2. Let o(f) = 2*f. Let d be o(-2). Let m(t) = t**2. Let s(a) = d*m(a) + 2*n(a). Calculate w(s(x)). 16*x**4 Let x(q) = -2*q**2. Let w(p) = -4*p + 155. Give x(w(t)). -32*t**2 + 2480*t - 48050 Let s(r) = -12*r - 5*r + 6*r. Let v(k) = -k. What is s(v(w))? 11*w Let s(c) = c**2. Suppose -11 = -a + 2*a. Let y = a + 15. Let h(i) = -4 - 5*i**2 + y. Calculate h(s(r)). -5*r**4 Let o = -21 - -40. Let w(i) = -o - 2*i + 19. Let k(l) = -2*l**2 + 3*l**2 + 0*l**2. Give w(k(h)). -2*h**2 Let g(p) be the third derivative of p**4/4 - 22*p**2. Let u(r) = 4*r**2. Give u(g(q)). 144*q**2 Suppose m = -4*m. Suppose m = t + 2*t - 6. Let d(o) = t*o**2 - 4*o**2 + o**2. Let y(k) = -5*k. What is d(y(s))? -25*s**2 Let j(m) = 5*m - 2*m + 3*m. Let o(q) = 2*q + q**2 - 2*q - 2*q**2. Calculate j(o(u)). -6*u**2 Let i(h) = 2*h. Let t(f) = -8*f - 15 + 20 - 5. Determine t(i(x)). -16*x Let b(v) = -4*v**3 + v**2 - v - 1. Let l = 1 - 2. Let s be b(l). Let u(h) = -2*h - h + s*h. Let p(f) = f**2. Determine u(p(n)). 2*n**2 Let o(l) be the second derivative of 5*l**3/6 - 3*l. Let c(g) be the second derivative of -g**4/12 - 3*g. Determine c(o(x)). -25*x**2 Let z(q) = -3*q**2. Let u(a) = -5*a - 4. Let d(r) = 11*r + 10. Let x(s) = 2*d(s) + 5*u(s). What is z(x(m))? -27*m**2 Let o(d) = -19*d**2 + 40*d**2 - 30*d**2. Let x(j) = 4*j**2. Give x(o(l)). 324*l**4 Let d(c) = 13*c**2 - 15*c - 6. Let n(w) = 27*w**2 - 32*w - 13. Let g(p) = -13*d(p) + 6*n(p). Let j(x) = -x**2. What is j(g(l))? -49*l**4 + 42*l**3 - 9*l**2 Let w(o) be the second derivative of 0 + 0*o**2 + o + 0*o**3 - 1/12*o**4. Let y(n) = -n. Calculate y(w(p)). p**2 Let u(x) = -3*x**2 - 20*x. Let c(t) = -t. Calculate c(u(i)). 3*i**2 + 20*i Let j(n) be the first derivative of 0*n + 3 - 1/2*n**2. Let o(s) be the third derivative of -s**5/60 - s**2. What is o(j(c))? -c**2 Let b(a) = -2*a. Let s(r) = 12*r**2. What is s(b(l))? 48*l**2 Suppose -15 = 3*x, -5*a + 4*x + 29 = -1. Let i(b) = 0*b + 12*b + 4*b - a*b. Let s(d) = 2*d**2. Calculate s(i(l)). 392*l**2 Let o(i) = -10*i**2. Let w(a) = a - 1. Let q(b) = -b**2 + 3*b - 3. Let f(n) = -q(n) + 3*w(n). Give f(o(d)). 100*d**4 Let n(c) = -2*c**2 + 3*c**2 - 2*c**2 - 3*c**2. Let i(q) = q - 1. Let z(k) = -2*k**2 + 4*k - 4. Let j(a) = -4*i(a) + z(a). What is n(j(h))? -16*h**4 Let b(w) be the first derivative of -5*w**2/2 - 193. Let y(p) = -6*p - 4. Let v(n) = -n - 1. Let z(l) = 4*v(l) - y(l). What is z(b(h))? -10*h Let j(f) = f + 13. Let n be j(-11). Let k(t) = 2*t + n - 2 + 0. Let d(g) = 5*g**2. Determine k(d(w)). 10*w**2 Let z(s) = 2*s. Let r(o) = -o. Let w(p) = -10*p + 4. Let x(k) = 9*k - 3. Let j(h) = -3*w(h) - 4*x(h). Let l(t) = 4*j(t) - 21*r(t). Give l(z(n)). -6*n Let r(j) = 9218*j. Let m(t) = -2*t**2. What is r(m(g))? -18436*g**2 Let t(k) = -83*k. Let u(s) = -4*s. What is t(u(p))? 332*p Let z(l) = -1 - 3*l + 0 + 4*l + 5. Let k be z(0). Let g(q) = 0*q - k*q + 6*q + 0*q. Let m(c) = -c**2. Determine g(m(f)). -2*f**2 Suppose -4*x - 3*j + j - 2 = 0, x - 2*j = 12. Let z = x + 0. Let l(r) = r**2 + 0*r**2 + 3*r**z - 2*r**2. Let c(b) = -4*b**2. Give l(c(k)). 32*k**4 Let z(u) = -538*u**2. Let q(y) = -y**2. Determine z(q(j)). -538*j**4 Let i(p) be the second derivative of -7*p**3/6 - 3*p. Let t(h) be the third derivative of -h**5/30 - 4*h**2. What is i(t(q))? 14*q**2 Let s(k) = -k + 1. Let c(z) = -2*z + 4. Let m(q) = c(q) - 4*s(q). Let f(h) = -3*h. What is f(m(p))? -6*p Let p(y) be the third derivative of y**4/8 + 5*y**2. Let l(o) be the second derivative of o**3/6 + 7*o. Determine p(l(a)). 3*a Let w(u) be the second derivative of u**6/360 - u**4/4 + 2*u. Let h(l) be the third derivative of w(l). Let i(g) = -6*g**2. Give h(i(a)). -12*a**2 Let h(k) = 6*k. Let w(s) = s. Let v(t) = h(t) - 4*w(t). Let a(q) = -11*q**2 - q. Determine a(v(f)). -44*f**2 - 2*f Let u(v) = 2*v**2 + 5. Let c(i) = i**2 + 1. Let f(k) = -5*c(k) + u(k). Let a(t) = t + 1 + t - 1. What is f(a(o))? -12*o**2 Let t(c) = 14*c**2. Let u(q) = 1265*q**2. What is u(t(x))? 247940*x**4 Let h(c) = 3*c**2 - 6*c**2 + 2*c**2. Let a(f) = -4*f. Determine h(a(z)). -16*z**2 Let f(r) = 14*r**2 + 17*r**2 - 30*r**2. Let s(m) = 60*m**2. Give s(f(y
{ "pile_set_name": "DM Mathematics" }
g - 4 = 6, 2*d + b*g = j. Is 12 a factor of d? True Is (1 + -97)*-4*(-25)/(-60) a multiple of 16? True Suppose -6*j = -j - 115. Suppose -3 + j = 4*o. Suppose o*n + 10 = 100. Does 6 divide n? True Let h = 26 - 31. Let t(c) = -c**3 + 11*c - 4. Does 18 divide t(h)? False Let t be (3/4)/(2/32). Suppose 5*l = 4*m - 15, l = -5*m - 15 - 17. Let h = t - l. Does 4 divide h? False Suppose -2*b = -2*o + 3188, -12*o - b = -8*o - 6356. Is o a multiple of 30? True Is 7 a factor of ((-231)/(-4))/((-21)/(-56))? True Suppose -2*v = 5*s - 21, 4*v - 16 - 2 = -2*s. Let f be v + 0 + 1 + 0. Suppose 2*h = 6 + f. Is h a multiple of 3? False Suppose 0 = -2*h + m - 41, -h - 10 = -m + 4*m. Suppose 5*l - 19 - 131 = 0. Let y = h + l. Is 10 a factor of y? False Let f = 180 - 1020. Does 10 divide (-1 - 2)*f/18? True Suppose -2 = -y, t + y = 5*y + 22. Let d = t - -36. Is 22 a factor of d? True Does 21 divide ((-36)/(-10))/(12*2/15680)? True Suppose 0*x - 4 = -2*x. Let b(i) = 3*i - 1 + x*i**2 - i**2 + 0*i**2. Is 3 a factor of b(-4)? True Let z(y) = 3*y - 9. Suppose 10*j - 5*j = 45. Let b be z(j). Suppose 0 = -u - 3*f + b, 0 = -3*u + 3*f - f + 43. Is u a multiple of 5? True Let c = 345 + 326. Is 11 a factor of c? True Let w be (0 - 1) + 214 + -9. Suppose -5*y + w = -y. Is 17 a factor of y? True Suppose -5*m + 46*m - 63017 = 0. Does 53 divide m? True Let b(x) = -4*x**3 - x. Let w be b(1). Is (28/(-12))/(w/285) a multiple of 26? False Suppose -3*b - 6 + 15 = 0. Suppose 3*a - f = 21, -b*f - 19 = -a - 4. Let t(h) = h**3 - 6*h**2 + 7*h - 7. Is 7 a factor of t(a)? True Let g = 1 - -21. Let m = 65 - g. Does 14 divide m? False Suppose 2*q - 8 = -0*q. Suppose -q*n + 24 = -48. Does 6 divide n? True Is 10 a factor of (3 - 13)*(-98 + 1)? True Let d(s) = 2*s**3 - 4*s**2 + 2*s - 3. Let m be d(3). Suppose -m = 3*i - 63. Suppose 0 = -f + i. Is f a multiple of 7? True Let f be -46*(-2 + (-14)/(-4)). Let z = -109 - f. Let g = z + 64. Is g a multiple of 6? True Let y(h) = h**2 + 2*h. Let a be y(-2). Let l(p) = -2*p + 28. Let w(c) = -5*c + 85. Let s(q) = -8*l(q) + 3*w(q). Is 15 a factor of s(a)? False Suppose -4*s + a = -4*a - 68, s = 4*a + 28. Is s a multiple of 6? True Let h(c) = -3*c**2 - 3. Let n(u) = 7*u**2 + 7. Let a(m) = 9*h(m) + 4*n(m). Let x be a(2). Suppose -2*v - 144 = -x*v. Is v a multiple of 14? False Let f(x) = -3*x + 55. Does 2 divide f(16)? False Let q(t) = -49*t - 5. Does 8 divide q(-3)? False Suppose 3*w + 108 = 4*m - 45, 2*m - 2*w = 76. Is 13 a factor of m? True Suppose 0*f = 4*f + 64. Is (-1 - 0)/(f/368) a multiple of 6? False Let b = -46 - -242. Suppose 0 = 5*h - 5, 4*m = h + b + 427. Does 52 divide m? True Suppose 3*v = -2*s - 0*s + 1953, s = -3*v + 969. Is 6 a factor of s? True Suppose -2*v + 18 = 3*l, 3*v - 5*l + 2 = -9. Suppose 4*r - 431 = -v*b, 5*r = -4*b + 7*r + 538. Is b a multiple of 34? False Let h = 232 + -96. Suppose -n + d + 63 - 1 = 0, -2*n - d = -h. Does 11 divide n? True Let q be (1 - 0)*7*(-4)/(-7). Suppose -q*y + 95 = -0*d + 3*d, -80 = -3*y - 4*d. Is y a multiple of 4? True Let o = 2012 - 1714. Does 3 divide o? False Let t(v) = 154*v + 165. Does 33 divide t(3)? True Let m(z) = -4*z**3 - 5*z**2 - 2*z + 6. Let o be m(4). Let l = -174 - o. Suppose 2*x - 4*x = -l. Is 33 a factor of x? False Suppose -3*z + 2 = -j - 4*z, -3*z - 22 = -5*j. Suppose t = -j*t + 240. Is t a multiple of 9? False Is 46 a factor of -2*21/6 - (-92 - 7)? True Let u(y) = y**3 + 29*y**2 + 40*y + 31. Is u(-27) a multiple of 21? False Let w = -17 + 14. Let h(p) = -2*p**2 - 3*p - 4. Let m be h(w). Let x(r) = -r - 3. Is 10 a factor of x(m)? True Suppose -2*z = 3*z - 4*y - 20, -3*z = 4*y + 20. Suppose z*u = -4*u + 16. Suppose -2*j = 5*c - 20 - 20, u*c + 2*j - 30 = 0. Does 5 divide c? True Let q(h) = -h - 1. Let d(z) = -45. Let t(g) = d(g) - 4*q(g). Is 14 a factor of t(19)? False Suppose -4518 = 2313*i - 2319*i. Does 19 divide i? False Let z(y) = y**3 - 5*y**2 - 9*y + 21. Let b be z(6). Suppose 0 = -0*u + b*u + 3, 0 = 3*s + 2*u - 61. Does 16 divide s? False Let t(f) = -5*f - 61. Let u be t(-14). Suppose 2*b + u*b - 1980 = 0. Is 15 a factor of b? True Let a(c) = -25*c + 3. Let u = -52 + 36. Let d = -17 - u. Is a(d) a multiple of 9? False Let c(i) be the third derivative of -i**5/60 - 7*i**4/8 - 13*i**3/3 - 2*i**2. Is c(-14) a multiple of 9? True Suppose -5*l + 82 = 2*z, -205 = -0*z - 5*z + 3*l. Is z a multiple of 10? False Suppose -2*j + 124 = -2*q, j - 82 = q - 4*j. Is 10 a factor of -61 - q - (1 + -156 + 1)? True Let c(p) = p**2 - 7*p - 6. Let a be c(8). Let z = 21 + a. Suppose z + 139 = 3*h. Does 9 divide h? True Let a = -1056 + 2050. Does 3 divide a? False Is 3 a factor of 1377/16 - (-53)/(-848)? False Let l = -2863 - -3007. Is l a multiple of 3? True Let j(q) = q**3 - 15*q**2 + 75*q - 43. Does 9 divide j(13)? True Let q(f) = f**3 + 2*f**2 + 3*f + 4. Let t be q(-3). Let s = t - -18. Suppose u - 3*v + 0*v - 12 = 0, s*v = -4*u + 96. Does 7 divide u? True Let l be 0/(-9) - (2 - 1). Let w be (-5 + 5)/(3 + l). Suppose 3*z + 3*x - 9 = w, 4*z - x = 3*x + 4. Is z even? True Let j = 615 + -69. Does 39 divide j? True Let k(l) = -12*l**2 - 17*l**2 + 30*l**2 - 6*l - 5. Let v be k(7). Suppose v*p = 5*p - 207. Is p a multiple of 23? True Suppose 2628 = -87*l + 90*l. Is 146 a factor of l? True Let x = 8 + -16. Let i be 6*2*x/(-24). Suppose 4*r - 24 = i. Is 2 a factor of r? False Let u = 207 + -113. Suppose x = -5*j + 53, 0 = -3*x + x - 3*j + 85. Let b = u - x. Does 28 divide b? True Let a = 58 + -26. Suppose -a*v - 160 = -34*v. Is v a multiple of 10? True Let j(c) = 10*c + 97. Is j(-5) a multiple of 2? False Let q = -46 + 49. Suppose -5*m + 4*x + 420 = x, 168 = 2*m + q*x. Is 6 a factor of m? True Let v be (-3)/(4 + (-9 - -4)). Suppose -5*y = -v*y - t - 58, -3*y + 4*t = -92. Does 11 divide y? False Suppose 0 = -5*z + f + 461, -5*z - 3*f + 253 = -224. Suppose 155 = 5*k - c - 0*c, 3*k - z = 2*c. Is k a multiple of 31? True Let y(h) = -905*h - 4. Is y(-2) a multiple of 14? True Suppose 209*k - 214*k = -585. Is k a multiple of 24? False Let h be (-3 - -2)/(2/(-8)). Suppose h*z = 7*z - 3. Is 69/(z + 2) + 4 a multiple of 9? True Let o = -72 + 97. Is 17 a factor of (o - 8)*((-2)/2 - -2)? True Suppose -9611 = -222*w + 215*w. Does 94 divide w? False Suppose -5*z + 2*g = -1187, -5*g = -5*z + 8*z - 737. Is 16 a factor of z? False Let z(g) = 30*g + 4. Let j be z(-2). Let v = -53 - j. Is v a multiple of 3? True Let j = 490 + -432. Does 2 divide j? True Let f = -2 + 8. Suppose 0*r - f = r. Is 8 a factor of (-870)/(-18) + 2/r? True Suppose 8*g + 5124 = 15*g. Does 12 divide g? True Let j(z) be the first derivative of z**3/3 + 3*z**2/2 - 27*z - 6. Is 19 a factor of j(-10)? False Suppose -21*d + 369 + 1332 = 0. Does 2 divide d? False Let h = -44 - -74. Let y = h + -15. Is 15 a factor of y? True Suppose -3*p - f + 3*f = -2664, -2*p - 4*f = -1776. Is p a multiple of 12? True Does 2 divide ((-2)/(-7))/(105/735)? True Let u(p) = -7*p - 4*p - 3*p**2 + 6 + 4 + 2*p**2. Does 5 divide u(-10)? True Let x be 6/8 + (-102)/8. Let i = -12 - x. Suppose -3*r + 8*r - 50 = i. Does 5 divide r? True Let v be (-3)/5 + 443/5. Let m = v + -39. Is m a multiple of 6? False Let l(w) = w**2 + w - 20. Let c be l(-8). Let u(f) = f**3 + 3*f**2 - 2*f - 4. Let j be u(-3). Is 4 a factor of c/8 + j/4? False Let l(i) = -6*i + 55. Suppose -w + 19 = -3*m, -3*w + 17 = -m - 3*m. Is l(m) a multiple of 9? False Let l be 1 - 1 - (3 - 2). Suppose 22*s - 21*s = -17. Does 16 divide ((5 + -3)*s)/l? False Let u = 222 - 61. Is 2 a factor of u? False Let l = 485 + -365. Does 9 divide l? False Let w = -21 - -26. Suppose -w*c - b = b - 240, 4*b + 270 = 5*c. Is c a multiple of 11? False Suppose 0 = -r - 8*p + 12*p + 65, 2*r = 5*p + 115. Does 6 divide r? False Suppose 3*j - 6*j - 3*j = 0. Suppose 22*d - 18*d - 644 = j. Is 23 a factor of d? True Let i = -2420 - -3265. Does 26 divide i? False Let s(q) = -q**3 + 3*q**2 - 4*q + 4. Suppose 2*g + 9 = t - 4*t, -4*g + 22 = -2*t. Is 28 a factor of s(t)? True Let f = -702 + 982. Is f a multiple of 8? True Let w(g) = g**3 - 7*g**2 - 2*g - 4. Suppose 6*h = 8*h - 10. Let z be w(h). Is 22 a factor of (-69)/2*z/48? False Suppose -2*k = -0*k - 10. Suppose -2*p - 13 = -k. Let a(q) = -2*q - 4. Is 4 a factor of a(p)? True Suppose -285 = 3*h + 5*
{ "pile_set_name": "DM Mathematics" }
264673/12702 - -8/2117. Find the common denominator of i and (1 - 1) + 2/4. 6 Suppose -4*l + 2*v + 10 = 0, -3*l + 5*v = 4 + 6. Suppose 2*u = -l*z + 2, 0*z = 3*z + 3*u + 6. What is the smallest common multiple of z and (3 + 2)/1 - 3? 2 Suppose 3*m = -5*x + 7, -2*m + 13 = -m - x. What is the lowest common multiple of 10 and m? 90 Let c = 1/43068 + -1195147/430680. What is the common denominator of c and -1/12? 120 Let n(p) = -p**2 - 2*p + 1. Let j be n(2). Let t = j + 11. What is the least common multiple of 18 and t? 36 What is the common denominator of 123/10 and 15/9 + -2 + 19? 30 Let l be 3 + 1 + 2834/(-300). Let z = l + -168/25. Find the common denominator of z and 123/10. 30 Let t = -77775/2 + 36976. Suppose 0 = z - 0*f + 2*f - 1950, 4*f = -4*z + 7812. Let s = t + z. Find the common denominator of -45/8 and s. 8 Let g = -15 + 27. What is the smallest common multiple of g and 16? 48 Let s be (-24)/9 + (-2)/6. Let l(f) = -f**2 - 4*f - 1. Let k be l(s). What is the common denominator of (k/((-4)/(-9)))/(-3) and -7/8? 8 Let v = 4 + -3. Find the common denominator of (-102)/32 + v/2 and -19/2. 16 Suppose 0 = -k + 2. Calculate the least common multiple of (-11)/(-2) + 1/k and 20. 60 Let n(y) = 9*y**2 + 1. Let r(p) = -7*p**3 + 2*p**2 - 1. What is the smallest common multiple of r(-1) and n(1)? 40 Let v(n) = n**3 + 3*n**2 + 1. What is the least common multiple of v(-3) and (-68)/(-170) + 76/10? 8 Let b = 2/5005 - -175159/40040. Let s(z) = z**2 - 5*z + 1. Let j be s(5). Find the common denominator of b and (2/5)/(j/(-11)). 40 Let o = 2 - -2. Suppose -3*m + z + z = -22, 4*z = m - o. Suppose -3*x = -7*x + m. Calculate the lowest common multiple of x and 8. 8 Suppose 0 = -5*h - 0*h + 50. Calculate the smallest common multiple of h and 14. 70 Suppose 3 = -2*t - 13. Let l(w) = -w**2 - 10*w. What is the least common multiple of l(t) and (36/(-2 + -1))/(-1)? 48 Let h = 8 + -95. Find the common denominator of -12 + 12 - h/22 and -11/4. 44 Let f = 44507/42 + -7272/7. Find the common denominator of f and 46/11 + -1*1. 66 Let d = 109 + -287/2. Calculate the common denominator of d and -51/4. 4 Let z = -24720/11 - -2244. Find the common denominator of z and 143/6. 66 Let b = -32 - -46. Let w be 0 + 0 + -1 + b. Let f = 25 - w. What is the smallest common multiple of 14 and f? 84 Suppose -7*g - 15 = -2*g, 0 = -2*k - 2*g - 14. Calculate the common denominator of -27*k/(-20) + -1 and 29/8. 40 What is the lowest common multiple of (88/(-10))/((-4)/10) and 22? 22 Let r = -2/25757 - -2756043/566654. Calculate the common denominator of r and 89/18. 198 What is the common denominator of 0 + (-381)/18 + -3 and -17/18? 18 Let r = 22 + -14. What is the least common multiple of r and 2 + ((-2)/1 - -7)? 56 Calculate the common denominator of -3 - (3 + (-64)/11) and -51/4. 44 Let c = 69 - 62. Calculate the smallest common multiple of 5 and c. 35 Let o be (2/99)/(69/18). Let f be -1 - (46339/(-7590))/(-1). Let u = o + f. Find the common denominator of 145/6 and u. 30 Let x(r) = -r + 11. Let g be x(7). Suppose 2*y - g = 0, -3*y + 5 + 0 = -p. What is the least common multiple of 20 and (15 - p) + (1 - 1)? 140 Let p(l) = l**2 + 12*l - 55. Calculate the least common multiple of 4 and p(-16). 36 Suppose -w = 5*i - 5573, 2*i - 3*w - 3351 = -i. Let x = i + -8905/8. What is the common denominator of -13/16 and x? 16 Let s = -27 - -18. Calculate the common denominator of 115/18 and (-3)/s - 458/(-12). 18 Let o be 2*-383*1*-1. Let g = -409 + o. Calculate the common denominator of g/(-18)*(0 + 1) and -41/5. 30 Suppose -5*u + 59 = -2*u + 4*p, -3*p = 3*u - 60. Find the common denominator of (-58)/12 + 2/(-3) and 6/u - (-1466)/308. 22 Let d be (-2)/5 - (-46)/(-10). Let t = 9 + d. Find the common denominator of -93/10 and (2/t)/(4/29). 40 Let t = -177 + 205. Calculate the least common multiple of 44 and t. 308 Suppose 4*y + y = -70. Let w be (-8)/(-12)*(-1 + y). What is the lowest common multiple of (-3)/(9/6) - w and 18? 72 Suppose -3*r + 361 = 2*r - 4*l, -2*l = 8. Calculate the least common multiple of 11 and (-3)/(-9) - r/(-9). 88 Suppose 0 = -3*y - y + 4, x - 2 = y. What is the lowest common multiple of ((-4)/(-4))/((-2)/(-4)) and x? 6 Calculate the common denominator of 61/4 and 145/24 + 12/36. 8 Let i(z) = -3*z**2 + 27*z - 28. Let h(n) = n**2 + n + 2. What is the least common multiple of h(-2) and i(7)? 28 Let h = 104/9 + 10/9. Calculate the common denominator of h and -31/9. 9 Suppose -3*c + 4*c = -n + 10, -2*c + 15 = -3*n. What is the smallest common multiple of 7 and c? 63 Suppose -5*c + 5 = -0*c. Let k = 5 + c. Find the common denominator of (k/16)/(18/664) and -11. 6 Let q be ((-754)/(-751) + -1)*-2. Let i = q - -59377/6008. What is the common denominator of i and -59/8? 8 Let v be (-2)/(-1 + (-4)/(-8)). Suppose -5*s = -v*a - 76, 0*s + 2*s = -5*a + 4. Calculate the least common multiple of 64 and s. 192 Let x = -1075 + 12893/12. What is the common denominator of 56/27 and x? 108 Let f(o) = -o**2 - 7*o - 3. Let i be f(-3). Let k(a) = -a**2 + 12*a - 11. Calculate the least common multiple of 6 and k(i). 48 Let y(d) = -d + 1. Let c be y(4). Calculate the common denominator of 67/14 and (-3)/c - 85/(-6). 42 Suppose 3279 = 4*b - 5*w, -4*b - 4*w + 2549 = -739. Let q = 5045 - 70683/14. Calculate the common denominator of q and b/90 - (-2)/(-9). 70 Calculate the smallest common multiple of (2 - (-6)/(-4))*(-108)/(-2) and 12. 108 Let q(d) = 3*d**2 + 2*d - 1. Calculate the smallest common multiple of q(-2) and 9. 63 Let c = 0 + 3. Suppose -11 = -2*u + x + 3, c*x = 3*u - 24. Let a(h) = -h**3 + 5*h**2 + 8*h - 6. What is the least common multiple of a(6) and u? 6 Let w = -757/880 + -18/55. Find the common denominator of w and 121/10. 80 Suppose -c + 2*f - 6*f = 17, -4*c = 2*f - 2. Find the common denominator of -1 + c + (-76)/22 and 1/2. 22 Let n = -2245 + 24669/11. What is the common denominator of (1 - 3)*((-44)/(-72))/1 and n? 99 Let n = -1595629/322058 - 1/14639. Let y = -2939 + 23545/8. Calculate the common denominator of n and y. 88 Let h(p) be the third derivative of -p**4/24 + 5*p**3/3 + 2*p**2. What is the smallest common multiple of h(7) and 10? 30 Calculate the lowest common multiple of 4 and (-2)/6 - -3*(-97)/(-9). 32 Suppose 0 = -2*h + 7*h - 55. What is the smallest common multiple of h and 5? 55 Let a = -3002 - -12075/4. Find the common denominator of a and -63/5. 20 Suppose -k + 3*j = -36, 5*j - 14 = -2*k + 14. Find the common denominator of -139/18 and ((-194)/(-32))/((-18)/k). 36 Let l(p) = 2*p**3 + 2*p**2 - 2*p - 2. Let x be l(-2). Let v = 8 + x. What is the smallest common multiple of v and 4? 4 Suppose -3*u + 1111302341 - 134835692 = 0. Let o = -573185878354/1761 + u. Let a = 1/587 + o. What is the common denominator of a and -29/10? 30 Let v(s) = -1274*s + 1. Let c be v(5). Let k = c - -101819/16. What is the common denominator of k and 426/(-528) - 2/(-11)? 16 Find the common denominator of -95/14 and 137/(-130) + (6/5)/3. 182 Let v(f) = -f**3 + 11*f**2 + f - 7. What is the least common multiple of 34 and v(11)? 68 Let k = -10196 + 1050203/103. Let c = 4811/206 + k. Calculate the common denominator of ((-71)/(-12))/(1/(-2)) and c. 6 Let w(j) = 10*j**2 - j - 1. Suppose v - 4 = s, v - 2 = -s - 0. What is the lowest common multiple of -2 + (1 - 1) - -8 and w(s)? 30 Let f be (2/3)/((-2)/6). Let y = -690 - -2785/4. What is the common denominator of (-193)/(-60) + f/(-6) and y? 20 Let d(z) = -3*z + 8. Let x be d(6). Let c = 2 - x. Calculate the smallest common multiple of 14 - (1 + -1)/1 and c. 84 Suppose 4*r - 3*a - 142 = -34, -r = 5*a - 4. What is the least common multiple of r and 10? 120 Suppose 5*y = -l - 44942, 2*l + 0*y + 2*y = -89884. Let u be l/(-20) + 2/5. Let p = -6677/3 + u. Find the common denominator of -8/5 and p. 30 Let k = -6 + -6. Find the common denominator of -139/6 and ((-2)/(-3))/(k/273). 6 Let i = 10 + -7. Calculate the smallest common multiple of i and 3. 3 Let h(l) = 23*l + 1. Let w be 183*7*2/72. Let f = -55/4 + w. What is the common denominator of f and h(-2)? 6 Let z = 5030/9 + -10363/18. Let v(r) = 2*r**3 - r**2 - 3*r + 2. Let w be v(3). Calculate the common denominator of z and (w/(-20) - 0) + 0. 30 What is the common denominator of -39/34 an
{ "pile_set_name": "DM Mathematics" }
ue in -1/7, -3, 13, 1/2, 48, -4? -1/7 What is the second biggest value in -3, -669, -11? -11 What is the second biggest value in -5, -2/33, -2, -0.04? -2/33 Which is the third biggest value? (a) -1/4022 (b) 4 (c) 1/8 (d) 3 (e) 0.2 e What is the fifth smallest value in -8.6, -2, -3/5, -0.09, 16? 16 What is the second biggest value in 2/9, -237, -13/5? -13/5 Which is the fifth biggest value? (a) -3/4 (b) 20/11 (c) 0.3 (d) 165/2 (e) 2/9 a Which is the biggest value? (a) 2/3 (b) 56 (c) -1/2876 b What is the second smallest value in 5, -2, -20, 17, -823? -20 Which is the fourth biggest value? (a) -0.144 (b) -11 (c) -1 (d) 0.05 b What is the fourth biggest value in 2, -0.4, -114/5, -3/2, 1? -3/2 Which is the fourth smallest value? (a) 1 (b) -2 (c) -416 (d) -4 (e) -3 b What is the third smallest value in -1/5, 2/9, -15, 0.2, 2, 4? 0.2 Which is the second smallest value? (a) -3.26 (b) 0.5 (c) 0 (d) -0.5 (e) 3 (f) 0.4 d Which is the second biggest value? (a) -5/227 (b) 0.1 (c) 7.64 b What is the third smallest value in 2895, -1/5, 599? 2895 Which is the third smallest value? (a) 16 (b) 217 (c) 0.08 b What is the sixth biggest value in 0.1, -1/3, -3, -5, -0.3, 83? -5 Which is the second smallest value? (a) 2/29 (b) -2/7 (c) 2/5 (d) -2 (e) 0.06 b Which is the biggest value? (a) -1 (b) -0.3 (c) 8 (d) 0 (e) -288 (f) 17 f What is the smallest value in 5, 3114, 2.9, 0.5? 0.5 Which is the biggest value? (a) -4 (b) -0.74 (c) 2.4 (d) 0.1 c Which is the fifth biggest value? (a) 3/8 (b) 5 (c) -2 (d) -1.5 (e) 2 c Which is the biggest value? (a) 0 (b) 4 (c) 787 c Which is the fifth smallest value? (a) 2 (b) 47 (c) -4 (d) -0.1 (e) 3/2 b What is the second smallest value in -0.6, -4, -1067, 47? -4 Which is the second smallest value? (a) 0.018 (b) 6/185 (c) -0.04 a Which is the third smallest value? (a) -5 (b) 12 (c) 0.9 (d) -1196 (e) 2/19 e What is the second smallest value in -5, -1/219, 80? -1/219 What is the second biggest value in 1/6, 0.01, -1/12, 5.16, 4? 4 Which is the second biggest value? (a) -22 (b) 0.2 (c) -404/81 c Which is the third biggest value? (a) 2 (b) 0 (c) 1.6 b Which is the smallest value? (a) 2/5 (b) 738 (c) 1 a Which is the third smallest value? (a) 5 (b) -1/5 (c) 0 (d) 989 a What is the second smallest value in -0.8, 3/8, 2, 38? 3/8 What is the smallest value in 2422, -0.5, 1/5, 2? -0.5 What is the fourth smallest value in 0.1067, 0.3, -3, -2/11, -3/2? 0.1067 What is the fourth biggest value in -4, -0.4, -2415, 2? -2415 What is the fifth smallest value in -2/11, 5, -63, -6, -1/2? 5 What is the second biggest value in -5, 0.2, 1/2, 2/3, 0.04, 34.2? 2/3 Which is the fourth smallest value? (a) -0.4 (b) 4 (c) 2160 (d) 0 c Which is the fifth smallest value? (a) 0.4 (b) -0.5 (c) -0.3 (d) -6/17 (e) 14 e What is the smallest value in 0.1, 7, -1/4, 5, 7167? -1/4 What is the fourth biggest value in -91, 3, -1/8, 10, -2? -2 Which is the third biggest value? (a) 0.5 (b) 1.03 (c) 19 (d) -3.9 a What is the biggest value in 1/23, 31, 5, 1? 31 Which is the biggest value? (a) -1 (b) 0.2442 (c) 31/4 c What is the third smallest value in 0, 0.141, 3, 0.1, -4? 0.1 What is the third biggest value in -4, -3, -8289/2? -8289/2 Which is the third smallest value? (a) -0.1 (b) 13 (c) -19 (d) 5 (e) -7.1 (f) -2 f What is the third smallest value in 4, -7, 1/4, -24/7? 1/4 Which is the second smallest value? (a) -6/5 (b) 1/7 (c) 0.3 (d) 4 (e) 5 (f) 10 b What is the second biggest value in 7, 22, -1/93, -0.1? 7 Which is the second biggest value? (a) 0.06 (b) -4 (c) -0.1 (d) 624/17 a What is the fifth smallest value in 1, 9017, 1/4, -1/4, -0.4? 9017 What is the second biggest value in -0.1, 6, -2, -0.3, 1, 0.09? 1 Which is the third smallest value? (a) 2 (b) -1 (c) -9156 a Which is the third biggest value? (a) -5/3 (b) 1/2 (c) 159.3 (d) 3 b Which is the second biggest value? (a) 5 (b) 1 (c) -3024 b What is the smallest value in -0.2, -6, 0.2, 1299? -6 What is the second biggest value in -9/5, -73, 2, -4, -0.4? -0.4 What is the second smallest value in 5, -0.101, 2/3, 2, 6/59, 0.5? 6/59 Which is the third smallest value? (a) -0.1 (b) -1/4 (c) 3 (d) -20 (e) -0.9 b What is the third biggest value in 14, 438/11, -5, -2/7? -2/7 What is the third biggest value in -0.1, -8.1, 28, -1.6? -1.6 Which is the second smallest value? (a) 0.2 (b) 1 (c) 57.041 (d) -0.2 a Which is the biggest value? (a) -10 (b) -0.15 (c) -291 (d) -4 (e) 0.5 (f) -0.2 e What is the second biggest value in 0.1, 2/291, 99.5? 0.1 What is the smallest value in 0.04148, -2, -4/33? -2 Which is the fourth smallest value? (a) 0.143 (b) -0.2 (c) 0.1 (d) -3 (e) -2/11 c What is the third biggest value in -1, 2, 0.4853? -1 What is the biggest value in -1/61, 3/13, 12? 12 Which is the fifth smallest value? (a) -0.39 (b) 5 (c) -0.3 (d) -1/6 (e) -0.1 (f) 2/7 f Which is the third smallest value? (a) -869 (b) -2/7 (c) -3/7 (d) -5 (e) 2/3 (f) 16 c Which is the second smallest value? (a) -0.37 (b) -20 (c) -0.5 (d) 6/5 c Which is the fourth smallest value? (a) -14/145 (b) 12 (c) -2/21 (d) 2 b Which is the fifth smallest value? (a) 5 (b) -3 (c) 2 (d) 0.3 (e) -0.06353 (f) 2/11 c What is the third smallest value in -1/2, -5, 2/3, -1/4? -1/4 What is the biggest value in 247, -4/5, -5? 247 Which is the biggest value? (a) 3 (b) -34.5 (c) -0.142 (d) -2/3 a Which is the third biggest value? (a) 0.06 (b) 1/38 (c) -7 (d) 4 (e) 8 (f) -0.2 a What is the third smallest value in -17, -5, -22, 4.8, 0.3, 0? -5 Which is the second biggest value? (a) -4 (b) 2.3 (c) -588 a Which is the third smallest value? (a) 223/51 (b) -4 (c) 3 a What is the third smallest value in -2/3, -16, -0.1, -2/15? -2/15 What is the smallest value in 2/5, -786, -40? -786 What is the third smallest value in -1.31, -3, 17, -0.122, 0.5? -0.122 What is the second smallest value in 4/17, 1, 0.09, 11, 44/13? 4/17 Which is the second smallest value? (a) 0.7 (b) -1.209 (c) 2 (d) 0.1 d What is the smallest value in 1, 37, 0.04, -0.1, -1? -1 Which is the fourth biggest value? (a) -0.5 (b) -4/9 (c) 1/5 (d) -1/551 (e) -5 a Which is the smallest value? (a) -250 (b) -4 (c) -0.06 (d) -0.07 a Which is the third smallest value? (a) 1/4 (b) -197 (c) 3 (d) 4 c Which is the biggest value? (a) -2/21 (b) 1 (c) 2.15 (d) -73/8 (e) -0.5 c Which is the third smallest value? (a) 0.05 (b) 591619 (c) -3 b What is the smallest value in 4/25, -13/5, -1, -0.4, 3? -13/5 Which is the third smallest value? (a) -4 (b) 25 (c) 0.1 (d) 2/5 (e) -0.4 (f) -2 e What is the smallest value in -416, 8, 3, 4? -416 What is the second smallest value in -5/2, -3/149, -1, 2? -1 Which is the third biggest value? (a) -1 (b) 2.9 (c) -24/5 c Which is the third smallest value? (a) 0.1 (b) 5/288 (c) 1643 c Which is the smallest value? (a) 4 (b) -2/11 (c) 74460 b What is the third biggest value in -21, 5, 39, 3, 298? 5 What is the third biggest value in 4, 2/69, -4, 0.31? 2/69 What is the sixth biggest value in -2/11, -0.3, 459.729, 5, 0, 1? -0.3 What is the fourth smallest value in 53/9, 0.5, 1, -5/6? 53/9 What is the third biggest value in 3, 33, -7, 0.03? 0.03 What is the fourth biggest value in 51/5, 3/2, -0.07, 4/3? -0.07 What is the fifth smallest value in 2, -17/22, -3, -20/9, -4? 2 Which is the third smallest value? (a) -5 (b) 0.4 (c) 1 (d) 2/13 (e) 0.01 (f) 19 d What is the second smallest value in -50, -238, -3/8? -50 What is the third smallest value in 6, 3, -0.5, -2/33, -1, 3/2? -2/33 What is the second biggest value in 4919, 5, -6.6? 5 Which is the fourth biggest value? (a) -3 (b) 8 (c) 2 (d) 12 a Which is the third smallest value? (a) 2 (b) -15 (c) 1 (d) -2/153 c Which is the third smallest value? (a) 0.1333 (b) 22 (c) -49 b What is the third biggest value in -14, 1577/23, -0.1? -14 Which is the biggest value? (a) 0.001 (b) 158 (c) -1/5 b What is the fourth biggest value in 338, -3, 2/9, 2, 1/5, -3/14? 1/5 Which is the second smallest value? (a) 3 (b) 2/37 (c) -15/2 (d) 3.3 b Which is the second smallest value? (a) -0.343 (b) -0.02 (c) -3 (d) 10 a What is the fo
{ "pile_set_name": "DM Mathematics" }
rest 1000? 57000 Round 0.014204 to 3 dps. 0.014 What is 1.5158 rounded to 1 dp? 1.5 What is -42.77 rounded to the nearest integer? -43 What is 79.3 rounded to the nearest ten? 80 What is -0.0109398 rounded to three decimal places? -0.011 Round 12.4712 to the nearest integer. 12 What is 84.9591 rounded to the nearest 10? 80 What is -0.088968 rounded to four decimal places? -0.089 Round 154550 to the nearest 10000. 150000 What is 0.080134 rounded to two dps? 0.08 Round -200.71 to the nearest integer. -201 What is -0.00475 rounded to 3 decimal places? -0.005 What is 0.00034592 rounded to 6 dps? 0.000346 What is 0.000002872 rounded to six decimal places? 0.000003 What is -748 rounded to the nearest 10? -750 What is -120240000 rounded to the nearest 1000000? -120000000 What is -56.85 rounded to the nearest 10? -60 Round -28702 to the nearest 1000. -29000 What is -5900 rounded to the nearest 10000? -10000 What is -7980000 rounded to the nearest 100000? -8000000 Round -7.54 to 1 decimal place. -7.5 Round -0.0020104 to 5 dps. -0.00201 Round 34.6 to the nearest 10. 30 Round -0.000002153 to 6 dps. -0.000002 What is -3316 rounded to the nearest 100? -3300 What is 0.01252 rounded to 3 dps? 0.013 Round -15160000 to the nearest 1000000. -15000000 Round -1481.88 to the nearest one hundred. -1500 What is 0.8278 rounded to two decimal places? 0.83 Round -0.0000005377 to seven decimal places. -0.0000005 Round 7931000 to the nearest one million. 8000000 What is 0.0000050134 rounded to six decimal places? 0.000005 Round -0.0845144 to 4 decimal places. -0.0845 Round 0.0000008159 to 7 decimal places. 0.0000008 Round 6492.8 to the nearest 1000. 6000 What is -0.000007187 rounded to six decimal places? -0.000007 What is -12.03 rounded to 1 decimal place? -12 Round 0.000218 to five decimal places. 0.00022 Round 0.006537 to 4 dps. 0.0065 What is 17.95 rounded to zero dps? 18 Round -0.00000153228 to 7 dps. -0.0000015 Round -0.00050813 to 6 dps. -0.000508 What is -12.14 rounded to the nearest integer? -12 What is 0.0384 rounded to two dps? 0.04 What is -0.000017575 rounded to 6 dps? -0.000018 What is -7200 rounded to the nearest one hundred? -7200 Round -0.007655 to three dps. -0.008 Round -19.864 to 0 decimal places. -20 Round -2.75577 to one dp. -2.8 Round -0.0000003747 to seven decimal places. -0.0000004 What is 630 rounded to the nearest 1000? 1000 Round 0.002802 to four dps. 0.0028 What is -7176300 rounded to the nearest 1000000? -7000000 Round 0.00000694 to six dps. 0.000007 Round 0.00044414 to four dps. 0.0004 What is 0.00044828 rounded to 5 dps? 0.00045 What is 2.64 rounded to the nearest integer? 3 Round 0.00001124 to seven dps. 0.0000112 What is -0.021161 rounded to four decimal places? -0.0212 Round -590.66 to the nearest 100. -600 What is -2714.2 rounded to the nearest 1000? -3000 What is 0.0004084 rounded to 4 dps? 0.0004 Round 407000 to the nearest ten thousand. 410000 What is 0.00953 rounded to four decimal places? 0.0095 What is -0.004025 rounded to 4 decimal places? -0.004 What is 0.48761 rounded to two dps? 0.49 What is -0.01827 rounded to three decimal places? -0.018 What is 0.01142 rounded to three decimal places? 0.011 Round 0.00000159634 to 7 dps. 0.0000016 Round 71719000 to the nearest one hundred thousand. 71700000 What is -0.26148 rounded to three decimal places? -0.261 What is 0.000205092 rounded to five dps? 0.00021 Round -0.0001169 to six decimal places. -0.000117 What is 73900 rounded to the nearest 10000? 70000 Round -0.031006 to 3 dps. -0.031 Round 19030 to the nearest one thousand. 19000 Round 7.427 to the nearest integer. 7 What is -84.2 rounded to the nearest ten? -80 What is 2916.1 rounded to the nearest 100? 2900 Round -2.0441 to two dps. -2.04 What is 0.00002402 rounded to 6 decimal places? 0.000024 Round -0.13765 to 3 decimal places. -0.138 What is -623.4 rounded to the nearest 10? -620 What is -0.000006404 rounded to six dps? -0.000006 Round 76314 to the nearest ten thousand. 80000 What is 106469 rounded to the nearest 1000? 106000 Round 0.00000699 to six dps. 0.000007 What is -3182 rounded to the nearest 1000? -3000 Round -20850 to the nearest one thousand. -21000 Round 0.000016689 to 6 dps. 0.000017 What is -15000 rounded to the nearest 10000? -20000 What is 0.0022727 rounded to five dps? 0.00227 Round -0.000047749 to 6 dps. -0.000048 What is -0.0016029 rounded to 5 dps? -0.0016 What is 6.53434 rounded to the nearest integer? 7 Round -0.0606893 to four decimal places. -0.0607 Round -40160 to the nearest 1000. -40000 Round 1.09078 to 2 decimal places. 1.09 What is 11.1673 rounded to the nearest integer? 11 Round -1.89 to 1 decimal place. -1.9 What is 642.9 rounded to the nearest one hundred? 600 What is 20400000 rounded to the nearest one million? 20000000 What is -0.0000003203 rounded to seven dps? -0.0000003 What is 0.00000262961 rounded to seven dps? 0.0000026 What is -0.0019089 rounded to 5 dps? -0.00191 Round -0.041824 to four decimal places. -0.0418 Round 0.3288 to 1 decimal place. 0.3 What is 21943000 rounded to the nearest one million? 22000000 Round -106.649 to one decimal place. -106.6 What is 52.3 rounded to the nearest 10? 50 What is -0.085 rounded to two decimal places? -0.09 Round -2116000 to the nearest 10000. -2120000 What is 0.000000421 rounded to 7 dps? 0.0000004 Round 0.00041308 to 5 dps. 0.00041 What is -54.42 rounded to the nearest 10? -50 What is -15909 rounded to the nearest one hundred? -15900 What is 0.000009271 rounded to seven decimal places? 0.0000093 What is 38871000 rounded to the nearest 1000000? 39000000 What is 0.0000025346 rounded to 7 decimal places? 0.0000025 Round 187.9 to the nearest 100. 200 What is -83900000 rounded to the nearest 1000000? -84000000 What is 43200 rounded to the nearest 100000? 0 Round 212800 to the nearest ten thousand. 210000 Round 26.128 to the nearest 10. 30 What is -0.0010901 rounded to four decimal places? -0.0011 What is 1625910 rounded to the nearest 10000? 1630000 Round -5620 to the nearest one thousand. -6000 What is 42.491 rounded to the nearest 10? 40 Round -116610 to the nearest ten thousand. -120000 Round 4.0118 to 2 decimal places. 4.01 What is 117400 rounded to the nearest ten thousand? 120000 Round 12620000 to the nearest 1000000. 13000000 What is -17435000 rounded to the nearest one million? -17000000 What is -3568 rounded to the nearest one hundred? -3600 What is -819.89 rounded to the nearest 100? -800 What is -0.00012078 rounded to 5 dps? -0.00012 Round -18820 to the nearest 10000. -20000 Round -10997 to the nearest one hundred. -11000 Round 0.000587 to 5 decimal places. 0.00059 What is 0.0000007953 rounded to 7 dps? 0.0000008 Round -0.1406 to 2 dps. -0.14 Round 0.000002261 to 6 dps. 0.000002 What is -143.609 rounded to the nearest integer? -144 What is 0.54924 rounded to one decimal place? 0.5 What is 1851000 rounded to the nearest one million? 2000000 What is -0.0000004632 rounded to seven decimal places? -0.0000005 What is 0.03996 rounded to 3 dps? 0.04 What is 3.981 rounded to zero dps? 4 What is -30.33 rounded to zero dps? -30 What is 4650140 rounded to the nearest ten thousand? 4650000 Round 0.001795 to 3 decimal places. 0.002 Round -0.0060236 to four decimal places. -0.006 What is -570900 rounded to the nearest 100000? -600000 Round -0.127707 to three decimal places. -0.128 Round 0.48205 to three decimal places. 0.482 Round 1.1973 to 2 decimal places. 1.2 Round 0.00084273 to five dps. 0.00084 What is -0.0124507 rounded to 3 dps? -0.012 What is -36154 rounded to the nearest 1000? -36000 Round 0.008362 to 3 decimal places. 0.008 Round -84450 to the nearest ten thousand. -80000 What is -1.6992 rounded to two decimal places? -1.7 What is -2.422 rounded to the nearest one hundred? 0 What is 0.01887 rounded to 2 decimal places? 0.02 Round 6.79 to one decimal place. 6.8 Round -0.000009309 to seven dps. -0.0000093 Round 4482 to the nearest one hundred. 4500 Round 338630000 to the nearest one million. 339000000 Round -215.34 to the nearest 10. -220 Round -439.44 to the nearest 10. -440 What is 9.91 rounded to the nearest integer? 10 Round 25.48 to the nearest 10. 30 What is 0.0013896 rounded to five decimal places? 0.00139 Round -2370.7 to the nearest on
{ "pile_set_name": "DM Mathematics" }
x(p) = -5*p - 2. Suppose -29*o + 34*o = 25. Suppose -o*t - 6 = -1. Determine t*x(v) + 2*k(v). 5*v Let w(o) = o + 2. Let z = -162 - -167. Let c(m) = -2*m - 3. Let x(v) = z*w(v) + 3*c(v). Let y(t) = -9*t + 4. Give -6*x(l) + y(l). -3*l - 2 Let t(h) = -73*h**2 - 8*h + 25. Let n(u) = 25*u**2 + 3*u - 9. What is 8*n(v) + 3*t(v)? -19*v**2 + 3 Let u = 364 + -371. Let l(i) = 2*i**3 - 3*i**2 + 5*i. Let o(c) = 3*c**3 - 4*c**2 + 7*c. Give u*l(p) + 5*o(p). p**3 + p**2 Let o(h) = 3204432*h**3 + 44982*h**2. Let u(r) = 2137*r**3 + 30*r**2. Give 5*o(x) - 7497*u(x). 1071*x**3 Let v(w) = -29*w - 20. Let y be 5856/(-336) + 3 + 54/(-21). Let r(q) = 10*q + 7. Give y*r(o) - 6*v(o). 4*o + 1 Let g(h) = -h**3 - h**2 - 5*h - 3. Let j(v) be the third derivative of v**6/120 + v**4/12 + v**3/6 - 43*v**2. What is 2*g(x) + 5*j(x)? 3*x**3 - 2*x**2 - 1 Let u(v) = -2 + 3 + 0. Suppose 5*m + 0*m - 5 = 0. Let s be (-3 - -1)*m/(-2). Let n(k) = k + 7. Calculate s*n(y) - 5*u(y). y + 2 Let f(y) = y**3 - 4*y - 11. Let a(q) = -5. Let z(s) = 6. Let m(c) = -5*a(c) - 4*z(c). What is 2*f(n) + 22*m(n)? 2*n**3 - 8*n Let t(w) be the third derivative of w**6/120 + w**5/60 - w**4/24 + 23*w**2 - 5*w. Let l(a) = 12*a**3 - 6*a**2 + 6*a. Give l(j) + 6*t(j). 18*j**3 Let j(n) = -n**3 - 2*n**2 + 6*n + 4. Let a(q) = q**3 + 2*q**2 - 7*q - 5. Determine 3*a(w) + 4*j(w). -w**3 - 2*w**2 + 3*w + 1 Let v(g) = g**2 + 4*g + 1. Suppose 3*i - 18 = 3*k + 2*i, k - 4*i + 6 = 0. Let x(w) = -w**2 - 3*w - 1. Determine k*v(r) - 7*x(r). r**2 - 3*r + 1 Let n(b) = 3*b**2 + b - 8. Suppose 46*y = 50*y - 3*a + 10, 4*y - 4*a = -12. Let r(h) = h**2 - 1. Give y*n(w) + 6*r(w). 3*w**2 - w + 2 Let p(z) = -52*z**2 - 3*z - 2. Let r(b) = 50*b**2 + 2*b + 1. Give -2*p(j) - 3*r(j). -46*j**2 + 1 Let a(z) = 2*z**3 - 3*z**2 + 3*z - 3. Let b = 8 - 11. Suppose 8*u = 3*u + 5. Let d(x) = x - x**2 - 6*x + 4*x + x**3 - 1 + 2*x. Determine b*d(w) + u*a(w). -w**3 Let j(w) be the third derivative of -3*w**5/10 - 3*w**4/8 - 2*w**2 + 1. Let d(t) = 9*t**2 + 4*t. Calculate -9*d(q) - 4*j(q). -9*q**2 Let j(q) = -16*q**2 - 15*q + 7. Let r(x) = 2*x**2 + x - 1. Determine j(h) + 6*r(h). -4*h**2 - 9*h + 1 Let z(o) = -o**3 - 4*o**2. Let u(m) = 3 + 3*m**2 + m**3 - 1323*m - 3 + 1323*m. Determine 6*u(c) + 5*z(c). c**3 - 2*c**2 Let r(o) = -6*o**2 + 16*o + 17. Let h(s) = -2*s**2 + 5*s + 6. Suppose -2*w = -9*i + 4*i + 40, i = -4*w - 14. Calculate i*r(b) - 17*h(b). -2*b**2 + 11*b Let x = -37 + 43. Let m(r) = -r - 5*r - r + x*r. Let n(y) = -2*y**2 + 5*y. Let i(p) = 4*p**2 - p. Let j be i(1). Determine j*m(w) + n(w). -2*w**2 + 2*w Let g(c) = 30*c - 86*c + 21*c + 17*c + 5 + 19*c. Suppose -j - 3*j = 28. Let b(x) = -3*x - 16. What is j*g(l) - 2*b(l)? -l - 3 Let b(s) = -s**3 + 14*s**2 + 20*s - 77. Let u be b(15). Let m(p) = 4. Let y(l) = l - 4. Calculate u*y(q) - 3*m(q). -2*q - 4 Let t(m) = 22*m**2 + 22*m - 10. Let p be ((-12)/(-9))/(((-21)/(-27))/(-7)). Let x(a) = 9*a**2 + 9*a - 4. Calculate p*x(k) + 5*t(k). 2*k**2 + 2*k - 2 Let i(w) = w. Let a(q) = -2. Let t = 1066 + -1064. Calculate t*i(y) - a(y). 2*y + 2 Suppose -t + 2*t = -6. Let g(k) = 2*k**2 - 2*k. Let a(j) be the second derivative of -2*j + 0*j**2 - 1/3*j**3 + 1/6*j**4 + 8. Calculate t*g(x) + 5*a(x). -2*x**2 + 2*x Let q(a) = -16*a + 7. Let c(z) = -z - 2. Give -3*c(l) - q(l). 19*l - 1 Let t(v) = 5*v**2 - 6*v - 6. Let x(z) = 5 + z - 5 - z**2 + 3 - 2. Calculate t(c) + 6*x(c). -c**2 Let h(p) = 8*p**2 - 24*p - 814. Let b(d) = -2*d**2 + 7*d + 271. Calculate 7*b(r) + 2*h(r). 2*r**2 + r + 269 Let b(x) = -10*x**2 + 4*x - 5. Let i(d) = -8*d**2 + 5*d - 2. Let y(s) = -9*s**2 + 6*s - 2. Let q(f) = -4*i(f) + 3*y(f). What is 2*b(t) + 5*q(t)? 5*t**2 - 2*t Let l(o) = -11*o**3 + 4. Let x be (8 - 2/1) + (-55)/11. Let z(s) = 1. What is x*l(k) - 4*z(k)? -11*k**3 Let n(w) = 10*w + 21. Let q(j) = j - 1. Calculate -n(i) - 2*q(i). -12*i - 19 Let o(t) = t + 6. Let d(p) = 6*p + 42. Give -2*d(f) + 15*o(f). 3*f + 6 Let f(y) = 6*y**3 - 11*y**2 + 3*y - 8. Let d(z) = -2*z**3 + 4*z**2 - z + 3. Let j(r) = r**2 + 25*r + 76. Let p be j(-21). What is p*d(s) - 3*f(s)? -2*s**3 + s**2 - s Let v(n) = -3*n - 5. Suppose -8 = -44*p + 43*p. Let m(o) = -5*o - 7. Give p*v(f) - 5*m(f). f - 5 Let q(x) = -631*x + 5. Let r(i) = -631*i + 4. Calculate -6*q(k) + 7*r(k). -631*k - 2 Let m(h) = 6*h**2 + 2*h + 3. Let j(l) = 13*l**2 + 4*l + 7. Suppose -5*y - 3*x = -3*y + 64, 2*y = 5*x - 48. Let f = 25 + y. Calculate f*j(p) + 9*m(p). 2*p**2 + 2*p - 1 Let r(x) = -3*x**3 + 4*x**2 - 3*x + 18. Let t(m) = m**2 - m + 1. Determine r(s) - 2*t(s). -3*s**3 + 2*s**2 - s + 16 Let t(r) = 2*r**3. Let x(q) = -2*q**3. Let w(p) = p**3 - 6*p**2 + 6*p. Let y(g) = 3*g**2 + 6*g + 5. Let z be y(-2). Let c be w(z). Calculate c*t(d) + 4*x(d). 2*d**3 Let k(s) be the second derivative of 0 + 1/3*s**3 - 3*s**2 + 16*s. Let h(t) = -3*t + 7. Give -4*h(a) - 5*k(a). 2*a + 2 Let q(b) = -4*b**2 + 3*b + 23. Let c(o) = 9*o**2 - 5*o - 44. Determine -3*c(a) - 5*q(a). -7*a**2 + 17 Let q(g) = 3*g**3 - 186*g**2 - 5*g - 5. Let a(i) = -5*i**3 + 279*i**2 + 8*i + 8. Give -5*a(c) - 8*q(c). c**3 + 93*c**2 Let m(b) = 77*b. Let z(j) = -3312*j. Give 128*m(r) + 3*z(r). -80*r Let i(q) = 2*q - 146. Let c(x) = x - 72. Determine -11*c(p) + 6*i(p). p - 84 Let m(h) = -6*h**3 + 2*h**2 - 2. Let q(u) = -1 + 0 - 4*u**2 + 4 + 2*u**2 - u**2 + 7*u**3. Calculate 6*m(s) + 4*q(s). -8*s**3 Let g(x) = -62*x + 1. Let a(f) = -f. Calculate 2*a(z) + g(z). -64*z + 1 Let c = -155 + 161. Suppose -f + 3 + 4 = 4*r, -3*r - 3*f = c. Let a(y) = y - 2. Let t(z) = -z**2 - z + 2. Determine r*a(b) + 2*t(b). -2*b**2 + b - 2 Let u(z) = -15*z**3 - 3*z**2 - 3*z + 19. Let n(a) = 30*a**3 + 5*a**2 + 6*a - 34. Determine -3*n(g) - 5*u(g). -15*g**3 - 3*g + 7 Suppose 21*w = 22*w - 3. Let p(o) = 8*o - 3. Let l(v) = 15*v - 5. Give w*l(t) - 5*p(t). 5*t Let v(x) = -x**2 - 2*x + 6. Let l(w) be the second derivative of -w**4/12 - w**3/6 + w**2/2 - 2*w - 97. Determine 2*l(r) - v(r). -r**2 - 4 Let j(s) = -1. Let h(n) be the first derivative of -n**5/60 - n**4/12 - 7*n**3/6 + 30*n**2 - 23. Let x(q) be the second derivative of h(q). Give -5*j(t) + x(t). -t**2 - 2*t - 2 Let n(a) = 9*a**3 - 2*a**2 + 2*a + 3. Let k(l) = 217*l**3 - 49*l**2 + 49*l + 70. What is -2*k(t) + 49*n(t)? 7*t**3 + 7 Let u(d) = -5*d - 3. Suppose j - 5*o = 29 - 32, 5*o + 6 = -2*j. Let y(w) = 4*w + 4. Give j*y(b) - 4*u(b). 8*b Let x(i) = 747183*i**2 + 4735*i + 9470. Let u(g) = 947*g**2 + 6*g + 12. What is -4735*u(f) + 6*x(f)? -947*f**2 Let x(s) = s**2 - 2*s + 5. Let u(c) = 5*c**2 - 11*c + 25. Let h = -140 - -49. Let r = h - -89. Calculate r*u(n) + 11*x(n). n**2 + 5 Let f(d) = -d**3 + d**2 + d + 1. Let w(j) = -4*j**3 + 6*j**2 + 6*j + 6. Give -6*f(a) + w(a). 2*a**3 Let m(t) = -t**2 + t - 3. Let p(d) = d**3 + 8*d**2 + 17*d + 7. Let b be p(-4). Let k(l) = -l**2 - 2. What is b*m(j) - 4*k(j)? j**2 + 3*j - 1 Let b(y) = y**2 + 5. Let p = 12 - 10. Let s(l) = -5*l + l + 3*l + p + 7. Let k be s(5). Let v(w) = -w**2 - 4. Determine k*b(n) + 5*v(n). -n**2 Let u(g) = g - 1. Let s(m) = 2*m**2 + 4*m - 6. Let b be 2 + 25 + (1 - 1). Let d = b - 26. Calculate d*s(a) - 5*u(a). 2*a**2 - a - 1 Let s = 153 + -149. Let q(i) = -i + 2. Let o(w) = -w + 2. What is s*o(c) - 5*q(c)? c - 2 Let r(q) = 23*q**2 - 4*q - 1. Let m(l) = 22*l**2 - 3*l + 1. Give -3*m(f) + 2*r(f). -20*f**2 + f - 5 Let m(f) = 29*f**2 + 33*f + 15. Let g(v) = 15*v**2 + 18*v + 8. Calculate -11*g(u) + 6*m(u). 9*u**2 + 2 Let f(p) = -8*p**2 + 4*p + 12. Let s(a) = 7*a**2 - 3*a - 10. Determine -6*f(d) - 7*s(d). -d**2 - 3*d - 2 Let g(u) = 6*u**3 - u**2 + 2*u - 4. Let p(a) = -16*a**3 - a**2 - 5*a + 12. Let y(r) = -r**3 - r**2 + 1. Let s(x) = -p(x) + 3*y(x). Give 5*g(j) - 2*s(j). 4*j**3 - j**2 - 2 Let z(b) = 66*b - 18. Let r(t) = 99*t - 27. Determine -5*r(c) + 8*z(c). 33*c - 9 Let s(c) = -4*c**2 - 5*c + 7. Let k be 18/((-4)/(-6)*-3). Let a = -14 - k. Let y(b) = b**2 + b - 1. Calculate a*y(z) - s(z). -z**2 - 2 Let j(s) = -4*s - 3. Suppose 2*k + 3 = -11. Let o(f) = f**3 + 5*f**2 - f - 2. Let b be o(-5). Let u(l) = -9*l - 6. Determine b*u(r) + k*j(r). r + 3 Let a(w) = 1245*w + 2. Let r(s) = 135707*s + 219. What is -219*a(d) + 2*r(d)? -1241*d Let m(u) = -3*u - 3. Suppose 0 = -6*i + 36 + 18. Let t be -9*1*28/(-42). Suppose i*c - t = 12*c. Let h(k) = 16*k + 16. Calculate c*h(f) - 11*m(
{ "pile_set_name": "DM Mathematics" }
Suppose -j*d - 8 = -50. What is the remainder when d is divided by 6? 3 Let g(n) = 2*n**2 - 8*n + 3. Calculate the remainder when 15/(-6)*(-8 - 2) is divided by g(5). 12 Let k be -19*15 + 1 - 0. What is the remainder when (-4)/14 - k/14 is divided by 11? 9 Let r = 116 + -76. Suppose v - r = -v. Calculate the remainder when v is divided by 7. 6 Suppose 126 + 139 = 5*z. What is the remainder when z is divided by 15? 8 Let f(u) = -u**3 + 6*u**2 + 11*u - 5. Suppose -8 - 31 = -5*g + j, 0 = -g + 3*j + 5. What is the remainder when f(7) is divided by g? 7 Let y = -196 - -254. Calculate the remainder when y is divided by 10. 8 Let j(q) = -q**3 + 6*q**2 + 9*q - 1. Let f be j(7). Let y = f - 5. What is the remainder when 11 is divided by (2 - 4)/((-4)/y)? 3 Let i(n) = n**3 + 11*n**2 - 7*n + 11. Let q be i(-9). Suppose f + 3*f - q = 0. Calculate the remainder when f is divided by 15. 14 Let h be 958/4 + 2/4. Suppose -169 = -3*l - y + 2*y, 4*l - 5*y = h. Suppose 2*g + 2*u = g + 9, -3*g + u + l = 0. Calculate the remainder when g is divided by 9. 8 Let b = 27 + 5. Suppose -4*j = 5*l - 96, -l - 2*l + b = -4*j. Suppose -4*t = -5*x - 124, -2*t + 4*x + 25 = -37. What is the remainder when t is divided by l? 15 Let a = 51 + -35. What is the remainder when 30 is divided by a? 14 Let p = 110 - 67. Suppose -p + 184 = 3*k. Calculate the remainder when k is divided by 16. 15 Let b(u) = -u**2 + u. Let v be b(0). Let m(p) be the first derivative of p**3/3 + 7*p - 2. What is the remainder when 12 is divided by m(v)? 5 Suppose -51 = 3*b - r - 146, 5*b + 3*r = 177. Calculate the remainder when b is divided by 12. 9 Let b(x) = x**2 - 4*x - 3. Let d = 6 + -10. What is the remainder when d/18 - 1180/(-45) is divided by b(6)? 8 Let c(k) = k - 11. Let w be c(11). Let d = w + 5. Calculate the remainder when 13 is divided by d. 3 Let y(c) = 5*c + 4 - 3 + 6*c**2 + 5 - 1. What is the remainder when 56 is divided by y(-2)? 18 Let n(h) = -4*h + 16. What is the remainder when 58 is divided by n(0)? 10 Let m(l) = 4*l - 1. Let i(d) = d + 1. Let y be i(1). Calculate the remainder when 20 is divided by m(y). 6 Let t = 7 + -3. Let i be ((-20)/(-6))/(2/57). Suppose -t*p - p = -i. Calculate the remainder when p is divided by 10. 9 Suppose 3*i - 27 = 3. Calculate the remainder when (4/(-10))/(1/(-45)) is divided by i. 8 Let u(w) = w - 4. Let v be u(6). Suppose 4*q - 5*d = 72, q + d = -v*d + 18. What is the remainder when 2/6*-2*-78 is divided by q? 16 Let p = -52 + 105. Let c = -262 - -280. Calculate the remainder when p is divided by c. 17 Let r(b) = b**2 + 4*b + 2. Let t be r(7). Let v = -32 + t. Calculate the remainder when v is divided by 12. 11 Suppose 6*o - 675 = o. Suppose 7*n = 2*n + o. What is the remainder when n is divided by 15? 12 Let c(f) = 6*f - 1. Let m = 289 - 197. Suppose -5*w - 3*x + m = x, -4*w + 3*x + 86 = 0. What is the remainder when w is divided by c(2)? 9 Suppose -l = -3*d - 38, -5*d - 5*l = -0*d + 50. Let n be d/(-7) - 8/(-28). Suppose 7*v - 310 = n*v. Calculate the remainder when v is divided by 16. 14 What is the remainder when 42 is divided by 6/5*25/2? 12 Let l(t) = 4*t - 2. Let a(k) = k**3 - 7*k**2 + 8*k - 3. What is the remainder when l(7) is divided by a(6)? 8 Let w = 184 + -90. What is the remainder when w is divided by 32? 30 Let m(p) = 3*p**2 + p + 14. What is the remainder when 27 is divided by m(0)? 13 Let b(i) = 5*i + 13. Let a be b(-9). Let v = 60 + a. Calculate the remainder when 82 is divided by v. 26 Let x = 42 - 2. Calculate the remainder when 198 is divided by x. 38 Suppose 44 = 3*v - 10. What is the remainder when 69 is divided by v? 15 Suppose -3 + 4 = -a. Let j = 1 - a. Suppose 5*m = m + 16. Calculate the remainder when m is divided by j. 0 Let f be 44/(-8) + 1/2. Let v = 7 + f. Suppose -3*l + 12 = -3*x - 2*x, -x = -v*l + 8. Calculate the remainder when 13 is divided by l. 1 Let x(y) = y - 7. Suppose 2*i - 5*i = -33. Let b be x(i). Let u(j) = j**3 - 2*j**2 - 6*j + 2. What is the remainder when u(b) is divided by 3? 1 Let s(u) = -u**2 + 14*u - 10. Let m(p) = p + 6. What is the remainder when s(9) is divided by m(6)? 11 Suppose -16*p + 15*p = -29. What is the remainder when 171 is divided by p? 26 Suppose -5*y + 33 = 3*f, 6*y - 3*y = 0. What is the remainder when 40 is divided by f? 7 Suppose -31*h + 84 = -25*h. What is the remainder when 36 is divided by h? 8 Let c(u) = 9*u**3 - u**2 - 9*u - 11. Let d(s) = 4*s**3 - 4*s - 5. Let x(a) = 2*c(a) - 5*d(a). What is the remainder when 18 is divided by x(-2)? 4 Let q = 60 - 0. Calculate the remainder when q is divided by 31. 29 Let a(k) = -k**2 - 5*k + 3. Let q be a(-6). Let d(r) = -r**2 - 7*r - 4. What is the remainder when 30 is divided by d(q)? 6 Suppose 0 = 3*f + 3*g - 201, 0*f + 2*f = -4*g + 132. Let o(a) = 4*a + 2. Let m be o(5). Suppose m = 2*b - 24. What is the remainder when f is divided by b? 22 Let b(g) = g**3 - 3*g**2 + g + 2. Let x be b(2). Let n be -26 + (-1 - (-1 + x)). Let u = -9 - n. Calculate the remainder when u is divided by 6. 5 Let i(c) = c**3 + 3*c**2 - 4*c + 5. Let l be i(-4). Suppose l*g - 11 = 19. Calculate the remainder when g is divided by 3. 0 Let r(q) = 2*q**3 - 5*q**2 + q + 4. Calculate the remainder when r(3) is divided by 9. 7 Let n be ((-10)/(-3))/(2/3). Let g(f) = 6*f - 4. Let d(h) = -7*h + 5. Let a(o) = -3*d(o) - 2*g(o). What is the remainder when a(n) is divided by 10? 8 Let v(d) = d**3 + 13*d**2 + 23*d + 31. What is the remainder when 179 is divided by v(-11)? 19 What is the remainder when 84*(5 + (-9)/3 - 1) is divided by 17? 16 Let v = -187 + 279. What is the remainder when v is divided by 47? 45 Suppose 0 = -0*y + y - 16. Let l(j) = j - 7*j + 5*j + 2. What is the remainder when y is divided by l(-4)? 4 Let t(f) = -f**2 - 13*f - 17. What is the remainder when 66 is divided by t(-8)? 20 Let u(m) = 7*m + 47. Suppose -18 = -a + 17. What is the remainder when a is divided by u(-5)? 11 Let a = 7 - 7. Suppose 0 = -a*i + 3*i - 24. Let y = i - -3. What is the remainder when y is divided by 4? 3 Let n = -7 + 9. Suppose 0 = 5*y + k - 42, -1 = -4*y - 2*k + 29. Let q = y + n. Calculate the remainder when 21 is divided by q. 10 Let q be (-24)/(-5) + (-2)/(-10). Suppose 5*z - v - 19 = 3*v, 5*z = -q*v + 55. What is the remainder when 18 is divided by z? 4 Suppose -2*m = 8, 2*y + y - m - 10 = 0. Suppose -4*a + 5*p + 127 = 0, -4*a + y*a - 4*p = -70. Calculate the remainder when a is divided by 9. 6 Let c = -66 - -111. Suppose -w + p = -8, 4*w = -w + 4*p + c. What is the remainder when 37 is divided by w? 11 Suppose 4*w - w = 180. Suppose -w = 3*v - 5*v. Calculate the remainder when v is divided by 8. 6 Let d(a) = a**3 + 5*a**2 - 9*a - 2. Calculate the remainder when 46 is divided by d(-6). 14 Let z(y) = 12*y - 7. Let w = 5 - 1. Calculate the remainder when z(w) is divided by 11. 8 Suppose -2*j - 5 = 1. What is the remainder when 31 is divided by (-4 - -2 - j) + 15? 15 Suppose 0*f - 5*f = -4*h + 2, -h - 5*f = -13. Let w be 2 + 3/h + -5. Calculate the remainder when 29 is divided by (-24 - -4)*1/w. 9 Let a = -194 + 323. What is the remainder when a is divided by 33? 30 Suppose -a - 104 = 5*q - 0*a, -2*q = 3*a + 52. Let m = 1 - q. Calculate the remainder when m is divided by 8. 5 Let n = -96 - -207. Calculate the remainder when n is divided by 29. 24 Suppose 0 = -4*v + 3*v - 4*s + 72, -234 = -4*v + 2*s. Calculate the remainder when v is divided by 31. 29 Suppose 5*g - 6*i - 65 = -i, g = 4*i + 16. What is the remainder when 23 is divided by g? 11 Let v = 25 + -13. Let r = v + -3. Calculate the remainder when r is divided by 5. 4 Suppose -181*r + 182*r = 8. Calculate the remainder when 62 is divided by r. 6 Let y = 69 - 47. Suppose 758 = 14*b - 152. Calculate the remainder when b is divided by y. 21 Suppose -u + 5 = 2. Let t(d) = -d**2 + 6*d - 3. Let v(h) = -h**3 + 5*h**2 - 4*h + 5. Let j be v(4). What is the remainder when u is divided by t(j)? 1 Let x = 39 - 22. Suppose 2*r - 7 = -5*g, -3*r + 3*g + 19 + 2 = 0. Calculate the remainder when x is divided by r. 5 Let q = 8 - -17. Suppose -s + 6*s - q = 0, -y + 15 = -s. Let l = -10 + y. Calculate the remainder when 29 is divided by l. 9 Let c(q) = q - 8. What is the remainder when (-4)/(-5)*(1 + 4) is divided by c(11)? 1 Suppose -3
{ "pile_set_name": "DM Mathematics" }
se 2, what is 1 - -10010100? 10010101 In base 14, what is -1 - 194? -195 In base 9, what is 3 + 354? 357 In base 3, what is 21 - 200? -102 In base 15, what is -dc - 0? -dc In base 7, what is 0 + 204? 204 In base 7, what is 2350 - -4? 2354 In base 10, what is -134 - -1? -133 In base 3, what is 1100020 + 10? 1100100 In base 13, what is 6 + 25? 2b In base 8, what is 3 + 1165? 1170 In base 9, what is 4 - 252? -247 In base 14, what is -5 + 4a? 45 In base 4, what is -323133 - -1? -323132 In base 10, what is -3 - 185? -188 In base 4, what is 320 - -11? 331 In base 16, what is 31 - 0? 31 In base 16, what is 250 + 0? 250 In base 12, what is 1829 + 2? 182b In base 13, what is 102 - -4? 106 In base 13, what is 20 - 2? 1b In base 5, what is 4 + -104111? -104102 In base 4, what is -12230 - 111? -13001 In base 7, what is -10 + 466? 456 In base 16, what is 1 + 1bf? 1c0 In base 8, what is -77 + 25? -52 In base 5, what is -22 + -112? -134 In base 16, what is 6 - -f6? fc In base 4, what is 221221 + 0? 221221 In base 9, what is 1752 - -1? 1753 In base 3, what is 0 - -122? 122 In base 11, what is -11 - 14? -25 In base 5, what is 1 + -100210? -100204 In base 6, what is -301 + -32? -333 In base 10, what is 4 + -146? -142 In base 6, what is -2100 - 22? -2122 In base 5, what is -10 - -2042? 2032 In base 14, what is -47 - 9? -52 In base 12, what is 11 + 27? 38 In base 15, what is -2 - 32? -34 In base 2, what is 101110011 - 10011? 101100000 In base 15, what is 10 + -1? e In base 15, what is -4e1 + -3? -4e4 In base 10, what is 1 + -87? -86 In base 6, what is 2 + 113? 115 In base 9, what is -221 + 14? -206 In base 5, what is 4 - 43? -34 In base 7, what is -5 + -26? -34 In base 10, what is 211 - 1? 210 In base 2, what is 11100 + 10000010? 10011110 In base 8, what is -1 - -76? 75 In base 2, what is -11000110 + 110? -11000000 In base 11, what is 272 + 0? 272 In base 13, what is -2 + -69? -6b In base 7, what is -43043 + -5? -43051 In base 6, what is 1414 - -11? 1425 In base 13, what is 1293 - 3? 1290 In base 15, what is 1 - -2163? 2164 In base 15, what is a2 + 1? a3 In base 14, what is aaa + 5? ab1 In base 9, what is -1056 - -5? -1051 In base 9, what is -106 - 1? -107 In base 15, what is 2 + -e2? -e0 In base 6, what is 1 + -1? 0 In base 16, what is -7 - c? -13 In base 8, what is 3 - -1073? 1076 In base 5, what is 3 + 14433? 14441 In base 5, what is -223333 + 4? -223324 In base 14, what is -1b2 - 4? -1b6 In base 16, what is -4 + 8e4? 8e0 In base 7, what is 0 - -1602? 1602 In base 3, what is 2011002 + -100? 2010202 In base 9, what is -178 + -6? -185 In base 11, what is 14 - 292? -279 In base 3, what is -1 - -212001? 212000 In base 6, what is 3054 - -11? 3105 In base 6, what is -1 + 14524? 14523 In base 12, what is 115b - -3? 1162 In base 7, what is 3 + 26? 32 In base 7, what is 12 + 1? 13 In base 11, what is 2 + -15? -13 In base 4, what is -3 + 1213210? 1213201 In base 11, what is -1431 + 3? -1429 In base 12, what is -17 - -206? 1ab In base 13, what is -40 - -5? -38 In base 8, what is -100 + -64? -164 In base 13, what is -b05 + 2? -b03 In base 16, what is 2 - 5? -3 In base 7, what is -1 + -12305? -12306 In base 12, what is -3 - -34? 31 In base 12, what is -a8 + 2? -a6 In base 2, what is 11 - 111111? -111100 In base 3, what is 102 - 2? 100 In base 15, what is -34 + -6? -3a In base 6, what is 1041 - 4? 1033 In base 13, what is 67 - 2? 65 In base 12, what is -146 + -1? -147 In base 3, what is -120110 + 10? -120100 In base 15, what is 4 + b4? b8 In base 6, what is -1 - -45? 44 In base 15, what is 4b4 + -2? 4b2 In base 9, what is -37 + 5? -32 In base 10, what is 17 - 1427? -1410 In base 8, what is -4001 + 4? -3775 In base 8, what is 1563 + 4? 1567 In base 2, what is -1001011000101 + 100? -1001011000001 In base 3, what is -100122 + 0? -100122 In base 2, what is 111 + 1111? 10110 In base 11, what is 413 - -17? 42a In base 9, what is 13420 - 5? 13414 In base 8, what is 1 - 50? -47 In base 8, what is 1 - -22? 23 In base 3, what is 2 + 11002? 11011 In base 2, what is 0 - -1001101001? 1001101001 In base 6, what is 4 + 20? 24 In base 6, what is 11 + 41? 52 In base 9, what is -6 - 16? -23 In base 15, what is d + -2? b In base 7, what is -5 + 146? 141 In base 11, what is -1 - 991? -992 In base 9, what is 0 - -178? 178 In base 10, what is 12 + -56? -44 In base 9, what is 411 - 8? 402 In base 10, what is 460 - -1? 461 In base 12, what is 23 - -3? 26 In base 3, what is 100 + 20002? 20102 In base 5, what is 31210 - -3? 31213 In base 9, what is -3 - -34? 31 In base 13, what is 2 + 1c6? 1c8 In base 2, what is 0 + -101110011? -101110011 In base 2, what is 1 + -11000110011? -11000110010 In base 6, what is -13554 - -3? -13551 In base 8, what is -11 + -7? -20 In base 16, what is 1 - -d? e In base 12, what is -662 - 7? -669 In base 3, what is -22 + -2100? -2122 In base 8, what is 17675 - 3? 17672 In base 5, what is -443124 - -4? -443120 In base 4, what is -10 + -302? -312 In base 16, what is -5 - b3? -b8 In base 13, what is -aa2 - 2? -aa4 In base 9, what is -330 - 0? -330 In base 13, what is 7 + 11? 18 In base 11, what is -36 - -13? -23 In base 13, what is 76 - -5? 7b In base 3, what is 10 - 121000? -120220 In base 9, what is -138 + 4? -134 In base 5, what is -3 + -4121? -4124 In base 8, what is 0 - -45? 45 In base 5, what is -4 + 0? -4 In base 14, what is -c + -299? -2a7 In base 16, what is 8d + 2? 8f In base 8, what is -33 - 17? -52 In base 10, what is 13 + -11? 2 In base 7, what is -14325 + 1? -14324 In base 11, what is 0 - -4? 4 In base 6, what is 2 - -111? 113 In base 11, what is 29 + 148? 176 In base 11, what is -2 - -1184? 1182 In base 9, what is 562 - -34? 606 In base 5, what is 4 - 4241? -4232 In base 8, what is -163 - -1? -162 In base 13, what is 5 + -7c? -77 In base 3, what is -2 + -2211? -2220 In base 5, what is -4 + -1020? -1024 In base 6, what is -103 - -4? -55 In base 10, what is 2 + 284? 286 In base 4, what is -3 + -110? -113 In base 5, what is 1 - -240? 241 In base 14, what is -5 - 2? -7 In base 4, what is -12 + -333? -1011 In base 16, what is 2 - d1f? -d1d In base 8, what is -3 - 1462? -1465 In base 4, what is 21 - -32? 113 In base 3, what is 102 - -1? 110 In base 15, what is -4 + bec? be8 In base 14, what is 72 + -1? 71 In base 7, what is 2 - -250? 252 In base 13, what is 3 + -22? -1c In base 3, what is 20022020 - -12? 20022102 In base 6, what is -140 + -11? -151 In base 3, what is 110102 + 2? 110111 In base 5, what is -234214 + 0? -234214 In base 12, what is 6874 + -5? 686b In base 12, what is -2a - 1? -2b In base 16, what is -e + -64? -72 In base 10, what is -5 + -700? -705 In base 6, what is -254 - 314? -1012 In base 2, what is -1 - -10110011101? 10110011100 In base 11, what is -209 + -53? -261 In base 8, what is -5 + -3273? -3300 In base 14, what is -4a + 34? -16 In base 13, what is 23 - 20? 3 In base 6, what is -21 - -534? 513 In base 13, what is -6 + -5? -b In base 10, what is 0 + 44? 44 In base 14, what is 7 + 38? 41 In base 13, what is 4 - -21? 25 In base 9, what is -40 + 11? -28 In base 2, what is -1 + -11011001000? -11011001001 In base 11, what is -3 - 59? -61 In base 6, what is 1341 - 2? 1335 In base 12, what is -30 + 5? -27 In base 11, what is 5 - -190a? 1914 In base 10, what is -1 + -662? -663 In base 7, what is 2 - 22? -20 In base 2, what is 101 + 10100? 11001 In base 2, what is -100001101 + 11? -100001010 In base 15, what is 11 + 3? 14 In base 12, what is -596 - -5? -591 In base 15, what is 963 - -5? 968 In base 5, what is 114 - 0? 114 In base 3, what is -10 + -12101112? -12101122 In base 2, what is 1 - 101001010? -101001001 In base 4, what is 1322 + -1? 1321 In base 7, what is -5 + 1144? 1136 In base 16, what is -5 - -12b? 126 In base 5, what is -323 + -2102? -2430 In base 8, what is 0 + 5177? 5177 In base 6, what is 1040 - -155? 1235 In base 15, what is 8 - -1? 9 In base 8, what is 1657 - -10? 1667 In base 11, what is -2 + -44? -46 In base 3, what is 20212 - -11? 21000 In base 13, what is 80 + -43? 3a In base 10, what is 6901 + -2? 6899 In base 8, what is 6 - 163? -155 In base 15, what is 8 + -65? -5c In base 3, what is 2020202 + -11? 2020121 In base 11, what is 96 + -4? 92 In base 11, what is 1 - 57? -56 In base 14, what is -5 - 45? -4a In base 3, what is 20 -
{ "pile_set_name": "DM Mathematics" }
*s**2. Let o(r) = -28*r**2. Give c(o(x)). -1568*x**4 Let h(u) be the second derivative of -13*u**5/120 + 4*u**3 + 2*u + 4. Let b(x) be the second derivative of h(x). Let o(l) = 2*l**2. Calculate b(o(f)). -26*f**2 Let j(a) be the first derivative of -48*a**2 + 723. Let c(o) = -3*o**2. Determine c(j(f)). -27648*f**2 Let l(i) = 2*i + 5. Let g(n) = n + 2. Let m(x) = -5*g(x) + 2*l(x). Let r = 49 + -40. Let b(q) = -r*q + 7*q - 2*q. Calculate b(m(y)). 4*y Let x(a) be the second derivative of a**6/60 - 7*a**3/6 + 3*a**2/2 + 289*a. Let n(v) be the second derivative of x(v). Let c(l) = -66*l**2. Give n(c(q)). 26136*q**4 Let q(w) = 2*w. Let t(r) = 48011365*r + 2. What is q(t(p))? 96022730*p + 4 Let x(t) = 36 + 36 + t - 15 - 57 + t. Let s(p) = -6*p. Let a be s(-1). Let o(h) = 5 - a*h**2 - 5. Determine x(o(n)). -12*n**2 Let y(l) = l - 17 + 1 + 16. Let c(h) = -136*h - 2. Determine c(y(z)). -136*z - 2 Let f(h) be the first derivative of 12*h**2 - 24*h + 511. Let w(l) = -2*l. Give f(w(n)). -48*n - 24 Let o(b) = 1436*b - 4280*b + 1418*b + 1427*b. Let k(x) = -3*x + 41*x + 17*x. Calculate k(o(f)). 55*f Let v(h) = -5*h. Let n(z) be the second derivative of -763*z**3/3 + 3245*z. Determine v(n(t)). 7630*t Let h(y) = 2926*y**2. Let v(c) = -102*c + 242*c - 138*c. Calculate v(h(g)). 5852*g**2 Let j(r) = -10*r - 5. Let c(z) be the second derivative of 7*z**3/6 + 163*z - 17. Calculate c(j(x)). -70*x - 35 Let l(j) = 305*j. Let y(s) = 64953*s. What is l(y(x))? 19810665*x Let w(v) = 1354*v. Let s(d) = -620*d. Calculate s(w(k)). -839480*k Let a be (-81)/(-15) - (-2)/(-5). Let h(i) = 0*i + 3*i - a*i. Let f(m) = -2*m - 125797*m**2 + 251596*m**2 - 125797*m**2 + 2*m. What is f(h(d))? 8*d**2 Let m(l) = 467812121*l - 15*l**2 - 467812121*l. Let h(v) = -1129*v**2. What is m(h(g))? -19119615*g**4 Let q(l) = -l. Let s(j) = 10971949*j. Calculate s(q(k)). -10971949*k Let k(z) = -z. Let i(a) = -78*a + 1. Let m(s) = -6645*s + 7. Let r(q) = -6*i(q) + m(q). Give k(r(o)). 6177*o - 1 Let k(x) = -8*x**2. Let m(p) = -3*p**2 + 12. Let i(l) = 1 + 19*l**2 + 8 + 8*l**2 - 29*l**2. Let u(a) = 4*i(a) - 3*m(a). Determine k(u(r)). -8*r**4 Let u(l) = 269*l**2 + 3047*l + 2. Let w(r) = 17*r. Determine u(w(h)). 77741*h**2 + 51799*h + 2 Let g(n) = 22*n. Let p(q) = 2249*q + 26. Give g(p(o)). 49478*o + 572 Let t(v) = -794*v. Let u(i) = 1244*i. Let w(m) = -393*m. Let r(j) = -6*u(j) - 19*w(j). Determine t(r(y)). -2382*y Let q(y) = -y**2 - y**2 + 73*y - 73*y + y**2. Let b(m) = 14*m - 4. Let z(f) = 14*f - 5. Let k(s) = -3*b(s) + 4*z(s). What is q(k(o))? -196*o**2 + 224*o - 64 Let f(u) = u. Let i be ((-13)/(-39))/(1/9). Let p(o) = -1 - i - 20*o + 3*o + o. Determine f(p(d)). -16*d - 4 Let l(k) = 2263099*k. Let h(x) = -16*x. Give h(l(n)). -36209584*n Let w(g) = 23*g - 1. Let r(u) = -19*u**2 - 11*u + 9. Determine w(r(s)). -437*s**2 - 253*s + 206 Let f(j) be the first derivative of -j**2 - 10. Suppose -10 = -5*c + 3*y, 2*y + 1 + 5 = 3*c. Let h(x) = -2*x**2 - 2*x**2 + 0*x**c. What is h(f(n))? -16*n**2 Let h(x) = 36029437*x**2. Let t(v) = -3*v**2. Determine t(h(g)). -3894360991610907*g**4 Let y(j) = 2*j. Let z(o) = 38 - 65 + 36*o + 65*o + 27*o. Calculate y(z(v)). 256*v - 54 Let c(l) be the first derivative of -l**5/60 - 21*l**2/2 - 30. Let n(p) be the second derivative of c(p). Let g(w) = 9*w**2 + 5*w**2 + 10*w**2. What is g(n(q))? 24*q**4 Let l(x) = -20*x + 2. Let n(q) = -48*q**2 - 63. Give l(n(g)). 960*g**2 + 1262 Let u(s) = -145*s - 3 + 118*s + 31*s. Let m(g) be the second derivative of -2*g**3/3 - 3*g. Give m(u(h)). -16*h + 12 Let y(c) = -39*c**2 + 2*c. Let b(w) = -25*w - 6. Let u(s) = 252*s + 63. Let h(n) = 21*b(n) + 2*u(n). Give y(h(q)). -17199*q**2 - 42*q Suppose 0 = 2*y + 5*c - 25, 5*y = -5*c + 3 + 67. Suppose 8*r - y = 5*r. Let z(x) = 4*x - 4*x + 0*x**2 - r*x**2. Let m(o) = 2*o. Give z(m(k)). -20*k**2 Let n(p) = -2578747*p**2. Let o(s) = 2*s**2. Determine n(o(r)). -10314988*r**4 Let c(f) = 3*f**2 + 2*f - 6. Let w(j) = -48*j**2 - 24*j + 72. Let s(p) = 36*c(p) + 3*w(p). Let z(q) = -15*q. Calculate s(z(o)). -8100*o**2 Let n(l) = 297*l**2 - 126*l - 63. Let i(t) = -7*t**2 - 2*t - 1. Let j(a) = 189*i(a) - 3*n(a). Let k(z) = 2*z**2. Determine k(j(m)). 9803592*m**4 Let k(a) = -144*a - 130. Let n(x) = -50*x - 45. Let r(c) = 9*k(c) - 26*n(c). Let b(m) be the first derivative of -m**2 + 2 + 0 - 4*m**2. What is b(r(f))? -40*f Let d(x) = 349195291*x**2. Let v(g) = 2*g**2. Determine d(v(a)). 1396781164*a**4 Let i(s) = -3*s**2 - 2*s - 1. Let v(f) = -6*f**2 - 6*f - 3. Let y(u) = -3*i(u) + v(u). Let l(n) = 69*n. What is y(l(h))? 14283*h**2 Let c(r) = -618895396*r**2. Let v(t) = 2*t**2. Calculate c(v(p)). -2475581584*p**4 Let u(b) = 278211*b. Let i(z) = 22*z. Determine i(u(y)). 6120642*y Let p(m) = 2*m**2. Let x(a) = 7400903*a. Determine p(x(r)). 109546730430818*r**2 Let z(t) = -2*t. Let x(v) = -11*v**2 - 88*v - 44. Let f(s) = -34*s - 36*s - 38*s + 1 + 110*s. Let o(c) = -44*f(c) - x(c). Give o(z(j)). 44*j**2 Let b be 5 - (20/(-50) - 46/10). Let a(o) be the first derivative of b - 2/3*o**3 + 0*o**2 + 0*o. Let g(j) = -17*j. Calculate g(a(h)). 34*h**2 Let f(c) = 14*c**2. Suppose 5*i - o - 3043 - 1542 = 0, 4575 = 5*i - 3*o. Let s(x) = -i*x + 1828*x - 917*x. Determine s(f(y)). -98*y**2 Let g(u) be the first derivative of 19*u**2/2 + 2*u + 105. Let i(n) = -13*n**2 + 11. Let x(a) = 7*a**2 - 6. Let f(q) = -6*i(q) - 11*x(q). Calculate g(f(b)). 19*b**2 + 2 Let z(s) = s - 2141. Let l(g) be the first derivative of -3*g**2/2 - 6116. Calculate z(l(x)). -3*x - 2141 Let v(f) = 106056*f**2 - f + 2. Let p(m) = -4*m. Determine v(p(t)). 1696896*t**2 + 4*t + 2 Suppose 0 = 4*p - n - 91, 0 = -0*p + p + 5*n - 7. Let h(l) = -p + 46 - 3*l**2 - 24. Let g(c) = c**2 - 16*c. Calculate g(h(k)). 9*k**4 + 48*k**2 Let g(h) be the first derivative of 87*h**3 + 4325. Let k(d) = -d**2 + 27*d. Calculate k(g(a)). -68121*a**4 + 7047*a**2 Let v(q) be the second derivative of -q**3/3 + 5*q**2/2 + 723*q + 8. Let y(i) = -19*i**2 + 1. What is v(y(f))? 38*f**2 + 3 Let n(y) = 36*y**2 - 10*y + 57. Let l(b) = -34*b**2 + 8*b - 45. Let k(p) = 5*l(p) + 4*n(p). Let v(c) = 9*c. Determine k(v(o)). -2106*o**2 + 3 Let i(n) = 15*n - 20. Let s(f) = -2130*f + 2850. Let g(y) = -285*i(y) - 2*s(y). Let o(p) = 39*p**2. Calculate o(g(t)). 8775*t**2 Let q(m) = 3*m. Let c(b) = 789*b - 1187805097 + 1187805097. Calculate c(q(u)). 2367*u Let x(c) be the second derivative of -5*c**3/2 - 1587*c. Let s(i) = 54*i. Give x(s(v)). -810*v Let p(u) = -u. Let t(h) = -904807292*h**2. Give t(p(w)). -904807292*w**2 Let l(w) be the first derivative of 2*w**2 - 13. Let c(x) = 64*x - 151*x + 81*x. What is c(l(v))? -24*v Let a(y) = 2*y. Let o(d) = -455847*d**2 + 294. Let v(i) = 17041*i**2 - 11. Let l(z) = -11*o(z) - 294*v(z). What is l(a(r))? 17052*r**2 Let z(y) be the first derivative of -y**5/40 - 3*y**3 + 8. Let u(k) be the third derivative of z(k). Let b(x) = 19*x - 30*x + 13*x. Give b(u(v)). -6*v Suppose -3*q - v = -119, 3*v + 0 - 15 = 0. Let p(d) = -40*d**2 - 8 + q*d**2 + 8. Let w(o) = 55*o**2. Determine w(p(u)). 220*u**4 Let q(i) = -5505843*i. Let t(w) = 19*w. What is q(t(z))? -104611017*z Let s(m) = 129*m**2 + 2*m. Let v(j) = 176*j**2 - 99*j - 33. Let d(z) = -53*z**2 + 30*z + 10. Let t(i) = 33*d(i) + 10*v(i). Calculate s(t(w)). 15609*w**4 + 22*w**2 Let n = -343 - -912. Let k(l) = 0 + n*l + 0 - 575*l. Let v(g) = -16*g. What is k(v(x))? 96*x Let u(l) = l + 7. Suppose 5*j + 4*y = 0, -7*y + 10*y = 2*j - 23. Let g(b) = 2*b + 14. Let n(k) = j*g(k) - 7*u(k). Let a(t) = 3*t**2. Determine a(n(o)). 3*o**2 + 42*o + 147 Let g(m) = -2*m**2. Let f(r) be the second derivative of -7 - 8*r - 5/6*r**3 + 5*r**2. What is g(f(n))? -50*n**2 + 200*n - 200 Let d(m) = -1088*m + 540*m + 538*m. Let u(c) = 7 + 6*c**2 - 7 - 3*c**2. Calculate u(d(f)). 300*f**2 Let a(z) = -41644*z + 9. Let u(q) = q. What is a(u(y))? -41644*y + 9 Let n(d) be the second derivative of -1 - 23/6*d**3 + 0*d**2 - 17*d. Let f(u) = -u. Determine n(f(x)). 23*x Let q(k) = -24*k - 60. Let p(a) = -3*a - 10. Let w(f) = -12*p(f) + 2*q(f). Let x(j) = -67*j. Calculate x(w(l)). 804*l Let k(l) = 13*l - 42. Let i(n) = -n**2 + 27*n - 3. Let f(t) = -18*t + 2. Let h(y) = 3*f(y) + 2*i(y). Determine h(k(v)). -338*v**2 + 2184*v - 3528 Let v(r) be the third derivative of r*
{ "pile_set_name": "DM Mathematics" }
2 in descending order. 64, 4, 2, -23 Put 2.6, -2, 1, 4, 11 in ascending order. -2, 1, 2.6, 4, 11 Sort 41, -53, 3, -3, -2. -53, -3, -2, 3, 41 Sort -2/4225, -33, 6. -33, -2/4225, 6 Sort -29931, 3/5, 5/3. -29931, 3/5, 5/3 Sort -8, 2/5, 3, -2/17, 12 in descending order. 12, 3, 2/5, -2/17, -8 Put 0, 558, -15 in descending order. 558, 0, -15 Sort -4, 3, -40, -3, -27, 5 in increasing order. -40, -27, -4, -3, 3, 5 Put 4, -12, 165 in increasing order. -12, 4, 165 Sort 4, -1973, -1, -5, 3, 2 in decreasing order. 4, 3, 2, -1, -5, -1973 Sort -2, -6/187, -23, -1, -0.1 in descending order. -6/187, -0.1, -1, -2, -23 Put -4, 0, -2202698 in descending order. 0, -4, -2202698 Sort 0.36, 5, 3/2, -3/10, 0.2. -3/10, 0.2, 0.36, 3/2, 5 Put 3038, 0, 83, -1, 0.4, 0.1 in decreasing order. 3038, 83, 0.4, 0.1, 0, -1 Sort -2/19, -17, 3, 271. -17, -2/19, 3, 271 Put -14, 9, 221 in decreasing order. 221, 9, -14 Put 0.069, -40, 12, -2/3 in ascending order. -40, -2/3, 0.069, 12 Put -4, 5, 18241, -5 in descending order. 18241, 5, -4, -5 Put 535, 5, 1, -3, 12, -11 in descending order. 535, 12, 5, 1, -3, -11 Sort -30, -2, -91, 4, -4, 9 in ascending order. -91, -30, -4, -2, 4, 9 Put -1761, 18, -4 in ascending order. -1761, -4, 18 Sort -12/449, 1, -0.2, 51. -0.2, -12/449, 1, 51 Put -1.5, 2/9, -0.2, -36, 8 in ascending order. -36, -1.5, -0.2, 2/9, 8 Sort -4, -88, 4, 6, 0. -88, -4, 0, 4, 6 Sort 2, 0.3, 5, -576534 in ascending order. -576534, 0.3, 2, 5 Put 4, -8176, -1, 3 in descending order. 4, 3, -1, -8176 Sort -4, -3, 30187, -1. -4, -3, -1, 30187 Sort 6, -141, 1022. -141, 6, 1022 Put -1436, -4/7, -12, -3, -0.3 in ascending order. -1436, -12, -3, -4/7, -0.3 Sort -2/107, 8, 122.5 in ascending order. -2/107, 8, 122.5 Sort 3, 2, -3298. -3298, 2, 3 Sort 0, -2, 3, 15, 41, 40 in decreasing order. 41, 40, 15, 3, 0, -2 Sort 0.023, -7, -7/3 in descending order. 0.023, -7/3, -7 Sort 2, -85, 3, 5 in decreasing order. 5, 3, 2, -85 Put -2, -38523, -3, 6 in decreasing order. 6, -2, -3, -38523 Sort 1/9, 2, 679 in descending order. 679, 2, 1/9 Put 3, -9, -0.3, -1.28, 0, -5 in ascending order. -9, -5, -1.28, -0.3, 0, 3 Sort -4, 12, -2, 29 in increasing order. -4, -2, 12, 29 Sort -7, 0, 32186 in increasing order. -7, 0, 32186 Sort -0.5, -1.4, -4/5, 1 in descending order. 1, -0.5, -4/5, -1.4 Put 1, -409, -4, -1, 0, 4 in descending order. 4, 1, 0, -1, -4, -409 Sort 0, 3, 40, 5, 4, -19. -19, 0, 3, 4, 5, 40 Put -7, -2/7, -5/11, 2 in decreasing order. 2, -2/7, -5/11, -7 Put -0.19, -23, 569 in descending order. 569, -0.19, -23 Put 3, -2, -147, 2, 5 in descending order. 5, 3, 2, -2, -147 Put -3, 0, 72, 1, 14 in decreasing order. 72, 14, 1, 0, -3 Put -4, 1, -5, -15, 0, 23 in descending order. 23, 1, 0, -4, -5, -15 Sort -9535, -133, 2, 1 in descending order. 2, 1, -133, -9535 Put 3, -0.4, 23472, 0 in increasing order. -0.4, 0, 3, 23472 Put 2, -1, 1, -43 in decreasing order. 2, 1, -1, -43 Sort -1, -6, 490, 25. -6, -1, 25, 490 Sort -181, 0.12, 2, -5 in decreasing order. 2, 0.12, -5, -181 Put -4, -3, 11, -1, 5, 4746 in descending order. 4746, 11, 5, -1, -3, -4 Sort 0, -3, -93, -49. -93, -49, -3, 0 Put 1, 722, 5, -20, -2, -6 in descending order. 722, 5, 1, -2, -6, -20 Sort -142, -14, -1, -34 in decreasing order. -1, -14, -34, -142 Sort 4, 7, -332. -332, 4, 7 Sort 1, 51, 4, -6, 25 in ascending order. -6, 1, 4, 25, 51 Sort 38.9, 37, 4/3 in ascending order. 4/3, 37, 38.9 Put -1/20, -6592.1, 4, 2/13 in decreasing order. 4, 2/13, -1/20, -6592.1 Put 4, 3, -380, -15 in decreasing order. 4, 3, -15, -380 Sort -3, -0.11, 1/2, -22/5, -1 in decreasing order. 1/2, -0.11, -1, -3, -22/5 Put 0.0479, -0.5, -0.15, 80, 0.4 in increasing order. -0.5, -0.15, 0.0479, 0.4, 80 Sort -3.6, 12/11, 3, -83 in ascending order. -83, -3.6, 12/11, 3 Sort -1, 1, 1497198. -1, 1, 1497198 Sort 3, -23136, -1, 10. -23136, -1, 3, 10 Sort 4, 0, -86780, 1/3. -86780, 0, 1/3, 4 Sort -4, -9, 43, 2, -5 in increasing order. -9, -5, -4, 2, 43 Put 7, -21/4, 2, -6, 1/18, -1/3 in descending order. 7, 2, 1/18, -1/3, -21/4, -6 Sort -2, 0, -5, 39, -3 in increasing order. -5, -3, -2, 0, 39 Sort -13, -3, 20, -11, 6. -13, -11, -3, 6, 20 Put 24/37, 1.5, -2/19 in ascending order. -2/19, 24/37, 1.5 Sort -1334, 3, -10, -9 in decreasing order. 3, -9, -10, -1334 Sort -6.5, 5/247, -1, 0.3 in descending order. 0.3, 5/247, -1, -6.5 Sort 105/11, 0, -9, -1, 0.4 in increasing order. -9, -1, 0, 0.4, 105/11 Sort 1, 12, -4, -13, 67 in decreasing order. 67, 12, 1, -4, -13 Put -2/7, 2/7, -0.023, -0.2, 0.5 in decreasing order. 0.5, 2/7, -0.023, -0.2, -2/7 Put -0.098, 712, -5 in increasing order. -5, -0.098, 712 Put -12, -185, -10 in decreasing order. -10, -12, -185 Sort 2, 7887, 4, 5 in increasing order. 2, 4, 5, 7887 Put 2/19, 1/31, 0.2, 2/25, 2 in decreasing order. 2, 0.2, 2/19, 2/25, 1/31 Put 3, -1, 0, 1, -5, -402 in decreasing order. 3, 1, 0, -1, -5, -402 Sort -9, 5, 4516, -13/2, 2/7. -9, -13/2, 2/7, 5, 4516 Sort 2/21, 2, 9582 in ascending order. 2/21, 2, 9582 Put 5, 4, -831, -4 in increasing order. -831, -4, 4, 5 Sort 93, -30, -1.48. -30, -1.48, 93 Sort 0.0199, 15, 2/17 in increasing order. 0.0199, 2/17, 15 Sort 0, -2, 74, 1, -0.11, -5 in descending order. 74, 1, 0, -0.11, -2, -5 Sort -2.9, -3/2, -2/63, 0.2, -3, -2 in descending order. 0.2, -2/63, -3/2, -2, -2.9, -3 Sort 1, -1, 2, -1118, -1/3 in ascending order. -1118, -1, -1/3, 1, 2 Put -2, -10, 3, 46 in decreasing order. 46, 3, -2, -10 Sort 3, 0, 5, -2/899. -2/899, 0, 3, 5 Sort -2/11, -0.4, 105, 5/8, -3, 2. -3, -0.4, -2/11, 5/8, 2, 105 Put 101/2, 5, 0.9, -2/11 in ascending order. -2/11, 0.9, 5, 101/2 Sort 0.95, -5, 4, 2, 0, -1. -5, -1, 0, 0.95, 2, 4 Sort -2/9, -0.4, -3, -66 in descending order. -2/9, -0.4, -3, -66 Put 3, 44, 191, 5 in ascending order. 3, 5, 44, 191 Sort 30, 0, -8, -5, 1, -2. -8, -5, -2, 0, 1, 30 Sort -2, -3, 452, -3/7, -1/5. -3, -2, -3/7, -1/5, 452 Sort 129, -149, -1/2, 2 in descending order. 129, 2, -1/2, -149 Put -2/7, 61.4, 68, -1 in decreasing order. 68, 61.4, -2/7, -1 Put -2/5, -2, 0.048, -1, -0.01 in ascending order. -2, -1, -2/5, -0.01, 0.048 Sort -2, -40, -5, -3, 4, 3. -40, -5, -3, -2, 3, 4 Put -0.212, -0.3, -76 in descending order. -0.212, -0.3, -76 Put 14/9, 5, 2, 3, 1 in decreasing order. 5, 3, 2, 14/9, 1 Sort 5, -1.1, -3, -5, 2/7 in decreasing order. 5, 2/7, -1.1, -3, -5 Put 59, 0.01, 1 in decreasing order. 59, 1, 0.01 Sort 104, -3, 2, 6, -2, 0. -3, -2, 0, 2, 6, 104 Put -4, -6, -31, -3, 3 in increasing order. -31, -6, -4, -3, 3 Put 9, 4, 17, 75 in decreasing order. 75, 17, 9, 4 Put 11227, -0.024, 1, -3/7 in increasing order. -3/7, -0.024, 1, 11227 Put 773, -287, 4 in decreasing order. 773, 4, -287 Put -2, 29, 2, -3466, -4 in ascending order. -3466, -4, -2, 2, 29 Sort -0.9, -102, 3, -0.2. -102, -0.9, -0.2, 3 Sort 68878, -3, 3 in decreasing order. 68878, 3, -3 Put -1, -12, -3104 in ascending order. -3104, -12, -1 Sort -3, 13, 4, 2, -131. -131, -3, 2, 4, 13 Sort -164, -1113, 5. -1113, -164, 5 Sort -3, -4, -2, -9, 2, 30 in increasing order. -9, -4, -3, -2, 2, 30 Sort -20, -1, 1243, 1, -2 in increasing order. -20, -2, -1, 1, 1243 Sort 2/19, 4, 4/3, -18, 34/19 in decreasing order. 4, 34/19, 4/3, 2/19, -18 Put -0.08, 5, 4, -4, 36, 0.4 in descending order. 36, 5, 4, 0.4, -0.08, -4 Put 2/3, 5, 12/5, -5 in ascending order. -5, 2/3, 12/5, 5 Sort -5, 0, -265, 55, 2, 5 in descending order. 55, 5, 2, 0, -5, -265 Put -4, 5, -0.5, 7, 0, -66 in decreasing order. 7, 5, 0, -0.5, -4, -66 Put -6, -7, -1, -2, -5, -3 in increasing order. -7, -6, -5, -3, -2, -1 Sort 38061, -0.1, 2/9, -3, 1/6 in decreasing order. 38061, 2/9, 1/6, -0.1, -3 Put 30, -51, -1 in descending order. 30, -1, -51 Put 1, 128, 5, -4, -1 in ascending order. -4, -1, 1, 5, 128 Sort 5, -0.23, -0.05, 2/3, 15 in descending order. 15, 5, 2/3, -0.05, -0.23 Sort 2, 169, -5/4 in decreasing order. 169, 2, -5/4 Sort 21733, 37, -2 in decreasing order. 21733, 37, -2 Put -265, -1/4, -0.1, -2/11 in ascending order. -265, -1/4, -2/11, -0.1 Sort -663, 19, 5 in ascending order. -663, 5, 19 Put -3, -0.1, 3, 11, -73 in ascending order. -73, -3, -0.1, 3, 11 Put 43, 765, 0 in ascending order. 0, 43, 765 Sort -5566, -1, 0, 2 in increasing order. -5566, -1, 0, 2 Sort 1, 371, -5, -1/3. -5, -1/3, 1, 371 Sort 3, 0, 25, -8, 2 in ascending order. -8, 0, 2, 3, 25 Put -1511, 5, 51
{ "pile_set_name": "DM Mathematics" }
4*y) as j*y**2 + c + a*y and give j. -164 Rearrange 11*y**3 - 18*y**3 + 9*y**3 - 4*y + 3*y**3 + y**2 + 2*y**4 + 1 to the form n*y**2 + q + w*y**4 + i*y + k*y**3 and give w. 2 Rearrange 129 - 71*z + 831*z - 129 to t*z + j and give t. 760 Express 1225*d**4 + 842 + 834 - 1676 + (-3*d + 0*d + 5*d)*(-3*d + 3*d - 2*d**3) in the form z + c*d**2 + i*d + l*d**3 + a*d**4 and give a. 1221 Express 73*c + 3*c + 0*c as x*c + s and give x. 76 Rearrange (0*t - 4*t + 5*t)*(5 + 2 - 1 + (0 - 2 + 1)*(-2 + 1 + 3))*(-2*t + 5*t + 3*t)*(-t - t + 3*t) to j + g*t**3 + r*t**2 + v*t and give j. 0 Rearrange (-x + 6*x - 2*x)*(15*x**3 + 3*x**3 + x**3) + 26*x**4 - 29*x**4 + 22*x**4 to u*x**3 + c + q*x**2 + n*x**4 + w*x and give n. 76 Express (5*v**3 + 38*v**3 - 17*v**3)*(-12 - 15 + 0) in the form l*v**2 + q + i*v + k*v**3 and give q. 0 Rearrange (179*q**2 - 230*q**2 - 95*q**2)*(5 - 6 + 2)*(5 + 1 - 2) to the form x + a*q + t*q**2 and give t. -584 Express (-2 + 2 - 2*a**3)*(6 - 1 - 3 + (12 - 24 - 50)*(1 - 1 - 1)) in the form c*a**2 + g + s*a**3 + x*a and give c. 0 Rearrange (33*h**4 + 24*h**4 + 24*h**4)*(-2 - 2 + 1) + 2*h**4 - 3*h**2 + 3*h**2 to q*h**3 + r*h**2 + u*h + v*h**4 + t and give v. -241 Rearrange -4*f**3 + 2*f**2 + 2*f**3 + 27*f**4 - 523 + 523 to t*f**2 + i + j*f**3 + a*f**4 + m*f and give t. 2 Rearrange 4*x**4 - x**4 - 12 + 6*x**3 - 4*x**3 to h*x**4 + w*x**2 + t*x**3 + l*x + d and give d. -12 Express (-4 + 6 - 26)*(0 + 2*k**4 + 36 + 11) in the form w*k**3 + b*k**4 + p*k + y + u*k**2 and give b. -48 Express (-v**2 + 2 - 2)*(58 - 58 + 8*v + (-2*v + 6*v + 0*v)*(-1 - 1 - 1)) as n + y*v**2 + p*v + d*v**3 and give d. 4 Rearrange (-2*q - 2 + 2)*(-503*q - 17235 + 8614 + 8619) to the form c + o*q**2 + m*q and give o. 1006 Express (2 - 1 - 2)*(-2 - 2*z + 2) + (4 + 5 - 5)*(-2*z - 3*z + 3*z) + 0*z - 2*z + 0*z + 6*z - 3*z - z as c + h*z and give h. -6 Express (2*w - 4*w + 4*w + (w + 2 - 2)*(0 + 0 + 1) - 1 + 1 + 2*w - 16*w - 43*w + 6*w)*(0*w**2 + 3*w**2 - 4*w**2) as p*w**2 + j + g*w**3 + d*w and give g. 48 Rearrange -16*v**3 + 4*v + 82*v**3 - 5*v + 80*v**3 + 24*v**3 - 2*v**2 to the form i*v**2 + y*v + u + r*v**3 and give r. 170 Express (-3*i**2 + 0*i + 0*i)*(-3*i + 3*i + i + (0 + 0 + 1)*(3*i - 2*i + 4*i)) as g*i + w*i**2 + o + m*i**3 and give o. 0 Express 197*t**4 - 22*t**2 - 200*t**4 - 4*t + 26*t**2 + 4*t + 18 as l + a*t**3 + k*t + f*t**4 + p*t**2 and give l. 18 Rearrange -b + 4*b + 104 + 0*b + 72 - 2*b to a*b + u and give u. 176 Express -18 + 42 + 121*p**2 - 24 as k + g*p**2 + f*p and give g. 121 Rearrange 286*v**2 - 5*v - 291*v**2 - 5 + 6*v + 3*v to j + a*v + i*v**2 and give j. -5 Rearrange -3*j - 59 + 57 + 7*j - j**4 + (3 - 3 - 4*j**2)*(7 + 3*j**2 - 7) to s + p*j**4 + d*j + m*j**2 + k*j**3 and give s. -2 Express -395*j - 58*j - 148*j in the form k*j + t and give k. -601 Rearrange o**4 - o**4 + 34*o**3 - 30*o + 2*o**4 + 2*o**2 + 29*o to d*o**4 + b + u*o + z*o**2 + k*o**3 and give d. 2 Express -2721*i - 16*i**2 + 2867*i + 17*i**2 in the form s*i + w + j*i**2 and give s. 146 Express -66*h**2 - 59*h**3 - 10*h + 10*h + 56*h**3 - 42*h**2 in the form b*h**2 + i*h**3 + c + l*h and give b. -108 Express (-u**2 - 1 + 1 + (0*u**2 + u**2 - 3*u**2)*(2 - 6 + 3))*(-14*u**2 - 16*u**2 - 17*u**2) as a*u**4 + g*u**2 + j*u**3 + q + r*u and give j. 0 Rearrange -r**3 + 26*r + 3 - 8*r - 13*r - r**2 + 1 to the form l*r + p + i*r**2 + x*r**3 and give p. 4 Express v**4 + 1 + 1 + 2*v**3 + 79*v - 83*v - 1 as b + l*v + c*v**3 + i*v**4 + q*v**2 and give l. -4 Express 30*h**2 - 1180*h**2 - 1022*h**2 as k + n*h + s*h**2 and give k. 0 Rearrange -18*v - 16*v**2 + 48*v - 30*v to h + s*v + n*v**2 and give n. -16 Express 92*l - 30*l - 37*l + 29*l + 154*l - 2 in the form u*l + y and give y. -2 Express 13*r + 1756*r**4 + 3*r**3 + 1753*r**4 + 4 - 3510*r**4 in the form p*r**3 + b*r**4 + m*r**2 + l*r + d and give d. 4 Express 124*w - 125*w + 50 - 140 - 151 as v + t*w and give t. -1 Express (5*g**3 - 953*g + 953*g + 3)*(-4 - 2 + 3) in the form d*g**2 + j + b*g**3 + f*g and give f. 0 Express -f**3 - 5*f**3 + f**3 + (0*f - 4*f + 3*f)*(-4*f**2 + f**2 + 5*f**2) - 17*f**3 - 59*f**3 + 3*f**3 as i*f**3 + v*f**2 + x + u*f and give i. -80 Express (3 + 2*r - 3)*(-7266*r - 104 - 46 + 150) in the form f*r**2 + k + u*r and give f. -14532 Express -2*d**3 + 2*d**3 + d**3 + (d + d + 11*d)*(d**2 - 8*d**2 - d**2) in the form p*d**2 + n*d**3 + r + s*d and give n. -103 Rearrange 6*w - 5*w + 2*w - 8 - w to the form n*w + m and give n. 2 Express -62*z - 336*z + 111*z as x + g*z and give g. -287 Express 6*j - 1 - 8*j + j**2 + 3 + 13*j**3 - 5 in the form b*j**3 + o*j + c*j**2 + d and give c. 1 Express j**2 - 75*j**2 - 80*j**2 - 33*j**2 + 16*j**2 as h*j + d + v*j**2 and give v. -171 Express (-1139 + 402*o**3 + 1139)*(-7*o + 2 + 5*o + 2) as d*o**2 + r + l*o**4 + j*o + z*o**3 and give l. -804 Express 332 - 109 + 0*k**3 - 112 - 35*k + k**4 - 109 + k**3 in the form x*k + r + p*k**4 + i*k**3 + g*k**2 and give r. 2 Rearrange -w**3 - 44*w**2 - w**3 + 94*w**2 + 190 - 5*w**4 - 50*w**2 to c*w**4 + s*w**2 + h + q*w + r*w**3 and give r. -2 Rearrange -4*j**3 - 813 + 9*j + 812 + 2*j**3 to p*j + v*j**3 + o + m*j**2 and give m. 0 Rearrange (r - 3*r + 0*r + r - 4*r + 2*r + (r - r + r)*(-1 + 4 - 4) + 5*r - 4*r - 3*r)*(70*r - 37*r + 18*r) to the form h + i*r**2 + q*r and give i. -306 Express -3*a**3 + 22*a**3 + 73*a**4 - 52 + 71*a**4 - 141*a**4 + a**2 + 54 in the form b*a + f*a**4 + r*a**3 + c + o*a**2 and give r. 19 Express 3 + d - 43*d + 1 - 1 - 4 as l + i*d and give i. -42 Rearrange 12*x**2 + 3*x + 2*x**2 - 61*x**2 + 15*x**2 to the form k*x**2 + v + a*x and give v. 0 Express -2*w**2 - 92*w**3 + 82*w**3 + 2 - 6 in the form g + p*w + d*w**2 + b*w**3 and give d. -2 Express 380*w**2 + 2*w**3 - 3*w**3 + 2*w - 3 + 2*w - 399*w**2 as v*w**2 + s*w + n + l*w**3 and give s. 4 Rearrange -69774 - 311*s + 69774 to the form d*s + f and give d. -311 Rearrange -1 - 45*t - 119*t**2 + 128*t**2 + 48*t to f + i*t + u*t**2 and give f. -1 Express (15*s**2 + 55*s - 55*s)*(-5 + 2 + 2)*(-10 - 3 + 1)*(s - 2 + 2) as k*s + q*s**2 + y*s**3 + o and give y. 180 Express -4*a + 5*a - 3*a - 2*a + 2*a - 2*a + (2*a + 3*a - 7*a)*(2 + 4 - 4) - a + 3 - 3 + 2 - 2 + a + 169*a + 1 + 7 - 7 in the form j + v*a and give j. 1 Rearrange (0*b + 5 - 6*b - 4)*(-184*b - 458 + 458) to the form j*b + c*b**2 + u and give c. 1104 Express 2*m + 477 + 139 - 4 + 551 + 8 in the form q + k*m and give k. 2 Rearrange -239 + 8*i - i + 273 - 2*i to k*i + d and give d. 34 Rearrange (-2*w**2 + 3*w**2 + 0*w**2 + (-2*w - 2*w + 3*w)*(0*w - w + 3*w))*(0*w**2 - 3*w**2 + 4*w**2) to z*w**2 + q*w**3 + c + a*w**4 + v*w and give a. -1 Rearrange -y**3 - 28 - 6*y**3 + 12*y**3 - 3*y - 7*y**3 to q + u*y + g*y**2 + m*y**3 and give u. -3 Rearrange -48*w**4 + 4 - 8*w**3 - w + 9*w**3 + w**2 + 33*w**4 - 2 to k + y*w**3 + v*w**2 + g*w + n*w**4 and give y. 1 Rearrange (0*u**3 - u**3 - u**3)*(-3 + 2 + 3) - 4*u**3 + 2*u**3 + 3*u**3 - 141 - 2*u**2 - 108*u**3 + 141 to x + t*u + s*u**3 + y*u**2 and give s. -111 Express 24 + 0 - 5*x**2 - 4 - 8 as l*x + n*x**2 + k and give n. -5 Rearrange 1 + v - 1 + (1 - 1 + 4)*(5 - 2 + 1)*(-9 + 9 + 3*v) to the form a + x*v and give x. 49 Rearrange (1 + 1 + 0)*(o - o + o**2) - 59609*o - 517*o**2 + 59609*o to x*o**2 + f*o + m and give x. -515 Express -151 + 45 + q - 36 as f*q + t and give t. -142 Rearrange f + 0 + 0 + (634 - 527 - 498)*(-2*f + 0*f + 3*f)*(-1 + 4 - 4) to u + m*f and give u. 0 Rearrange 4*p - 4*p - 48*p**2 - 3*p + 3*p - p**2 + (-2*p + 2*p - p)*(2*p - p + p) to a + z*p + d*p**2 and give z. 0 Rearrange -312*j**2 + 740 + 731 - 1471 to the form c*j + w + n*j**2 and give n. -312 Rearrange -1084*p**2 - 879*p + 879*p - 22 + 22 to a + x*p + z*p**2 and give z. -1084 Express 7*y + y**3 + y**2 + 4 - 2 - 1 in the form o*y + g + c*y**2 + r*y**3 and give g. 1 Rearrange -2*b**4 + 2*b**2 + 6*b**4 - 18 - 7*b**3 + 0*b**4 + 32 - b**4 to the form y*b**2 + n*b**3 + p*b + o + r*b**4 and give o. 14 Rearrange (1 - 2 + 3)*(-3*q - 3*q + 4*q) + 4*q - q - 4*q + (-6*q + 0 + 0)*(-1 - 2 + 5)*(1 - 2 + 5) to h*q + y and give h. -53 Rearrange (2*a - 5 + 5)*(-6*a + 6 - 6 - 5) to t*a**2 + r + n*a and give n. -10 Rearrange 2 + 30*a**2 - 11*a**2 + 7*a - 18*a**2 - 10 to u*a + y + c*a**2 and give c. 1 Rearrange (-2*d**2 - 3*d**2 + 4*d**2)
{ "pile_set_name": "DM Mathematics" }
. Let o(j) = j**3 - 5*j**2 - 3*j + 3. What is o(r)? -12 Let u(n) be the first derivative of -n**4/12 + 2*n**3 - 62*n**2 - 73. Let a(t) be the second derivative of u(t). Calculate a(9). -6 Let l(g) = -3*g - 2. Let j be l(2). Let d(h) be the third derivative of 0*h - 7/6*h**3 + 1/60*h**5 - 2 + 1/4*h**4 + 113*h**2. Give d(j). 9 Let i(u) = -3*u + 3. Suppose -3*a + 4*b + 252 = -2*a, 4*a = -2*b + 1098. Suppose 7*c + a = 3*c. Let y = -63 - c. Determine i(y). -12 Let o = 159 + -65. Let v(s) = 0 - 92*s + 2 + 0 + o*s. Give v(-3). -4 Suppose 4*l = -5*f + 30, l + 1 = 2*f + 2. Let p(v) = 44 - f*v - 39 + 3*v. Let h(c) = -22*c + 160. Let d be h(7). Determine p(d). 11 Let f(g) = -7*g. Let t(r) = 9*r + 1. Let k(u) = -5*f(u) - 4*t(u). Suppose v = -849 + 845. Give k(v). 0 Let f(m) be the first derivative of m**4/4 + 4*m**3/3 + 3*m**2 + 3*m + 33. Let y be f(-2). Let h be y*((-40)/(-4))/5. Let w(t) = -t**2 + 2*t + 3. Give w(h). -5 Let x be (3/(-9))/((-3)/63). Suppose -16 = x*k - 79. Suppose -2*l + 2*t - 25 = -k, l + 3*t = 12. Let z(n) = n + 2. Give z(l). -1 Let y(k) = -k**3 + 6*k - 5*k**2 + 6*k**2 - 1 - 6 + 4*k**2. Suppose 0 = -16*u + 25*u - 225. Suppose -8*v + u = -23. Determine y(v). -7 Let t(d) = -d**3 - 6*d**2 - 7*d + 3. Let b be t(-4). Let f be 42/(-6) + 20 - (b + 1). Let v(p) = -p**2 + 14*p + 2. Calculate v(f). 15 Let v(b) be the third derivative of -b**7/1680 + b**5/30 - 2*b**4/3 + 5*b**2 + 3. Let x(n) be the third derivative of v(n). Give x(2). -6 Let k(w) = w**3 + w**2 - 6*w + 8. Let c(v) = -2*v**2 + 3*v + 11. Let l(h) = -c(h) + k(h). Determine l(-4). 17 Let s be (-54)/(-24) + (-117)/52 - (5 - 0). Let w(i) = i**3 - 6*i - 6. Give w(s). -101 Let w(t) = 11*t**3 + 12*t - 9. Let r(l) = 14*l**3 + l**2 + 7*l - 10. Let c(h) = 4*r(h) - 5*w(h). Calculate c(-8). 5 Let q(b) be the third derivative of -1/60*b**5 + 7/24*b**4 + 0 + 0*b - 11*b**2 - 7/6*b**3. Suppose -5*i + 18 = -2*i. Give q(i). -1 Let i(c) be the third derivative of c**4/24 + 2*c**3/3 + 218*c**2. Suppose n = -5*u - 4, n + 0*u = -2*u - 4. What is i(n)? 0 Let h(k) = -6*k**2 + 37*k - 46. Let v(p) = 13*p**2 - 79*p + 98. Let b(o) = 11*h(o) + 5*v(o). Determine b(7). 19 Let m(k) be the first derivative of k**2 - k**3 + 1/4*k**4 + 128 - 2*k. Give m(2). -2 Let o(m) = -m**3 - 5*m**2 + 5*m + 7. Let w be (-8 - (8 - 24)) + 408. Let b = -421 + w. Give o(b). -18 Suppose -3406 = 290*l - 796. Let m(n) = n**3 + 10*n**2 + 9*n + 9. Determine m(l). 9 Let m(c) = 4*c - 25. Let i = 12183 - 12175. Give m(i). 7 Let b be 2/64*4 + 1/40. Let x(l) be the second derivative of b*l**5 + 0*l**3 + 0 - 1/2*l**2 + 1/12*l**4 - 7*l. Calculate x(-2). -21 Let t(u) = -u**2 - u + 1. Let p(g) = g**2 - 6*g + 7. Let l(z) = -p(z) - 2*t(z). Suppose 0 = 852*d - 549*d + 2727. Give l(d). 0 Let l be -1*(2/(-2) - 1). Let z(u) = -4*u + 9*u - 2*u**2 + u**l. Let a(c) = -c**3 + c**2 + 75*c - 146. Let k be a(8). Calculate z(k). -6 Suppose -4*n - 3*o + 58 = 0, 0 = 4*n + 5*o + 21 - 91. Let x(v) = v - 16. Let u(a) = 2*a - 33. Let r = 8 + -11. Let b(w) = r*u(w) + 7*x(w). Determine b(n). -3 Let f be -112 + 4 + -8 + 2 + 6. Let l = -106 - f. Let d(u) = u**l + u**2 + 0 + 440*u - 436*u + 2. What is d(-4)? 18 Let b(r) = r + 37. Suppose w = -y - 22, -249*y = 2*w - 250*y + 41. Calculate b(w). 16 Let x(t) = -5*t + 31. Let g(z) = -12*z + 69. Let y(r) = -4*g(r) + 9*x(r). What is y(-4)? -9 Let c(k) = 5*k**2 - 4*k**2 + 12408 - 12394. What is c(10)? 114 Let l be 14/(-70) - (-106)/5. Let j(b) = -l - 18 + 16*b + 16 - b**2 + 1. Calculate j(14). 6 Suppose -8*f = -3*f - 5. Let o(x) be the second derivative of -30*x - 1/20*x**5 + 1/3*x**3 - 1/2*x**2 + 0 + 0*x**4. Give o(f). 0 Let p be (-15210)/36*(-1 + (-2)/(-10)). Let l = -153 + p. Let y(g) = l - 185 - 3*g. Calculate y(-4). 12 Let b be ((-22)/5)/(2/10). Let x = b + 24. Suppose -12 = -x*q - 4*q. Let h(j) = j - 3. Determine h(q). -1 Let d(t) = -t**2 + 4*t + 2. Suppose -o - 25 = 2*o + 5*i, -4*i - 20 = 3*o. Suppose o = 10*n + 683 + 607. Let j = -126 - n. Calculate d(j). 5 Let r = -7 - -11. Let k = r - 6. Let o(t) be the second derivative of -t**4/6 - t**3/6 + 13*t + 95. Give o(k). -6 Let l = 1410 + -602. Let m(u) = 2*u**2 - 793*u + l*u - u**2 + 8. Calculate m(-14). -6 Let v be (3/(-18))/((-31)/558). Let y(o) = -2*o**3 - 5428*o + 5430*o + 3*o**v + 7*o**2. Determine y(-7). -14 Suppose j = 2*b - 9, 4*j = 10*b - 14*b + 24. Let y(r) = -1 - j - 5 + r - 8 + 0*r. Calculate y(14). -1 Let y(s) = -10*s + 4. Let z(t) = -9*t + 4. Let n(o) = -6*y(o) + 7*z(o). Let m = 881 + -878. What is n(m)? -5 Let l(s) = 59*s - 38137 - 51*s + 38099. What is l(11)? 50 Let t(s) = -s**2 + s. Suppose -4*q + 425 = -4*l + 61, 0 = 5*l - 20. Let o be q/38 - (-1)/2. Determine t(o). -6 Suppose -2*q - 4*g + 12 = 0, -37*q = -33*q + 4*g - 32. Let i(w) = -w**3 + 10*w**2 - 6*w + 6. Calculate i(q). -54 Let l(b) = -7*b**3 - 19*b**2 - 9*b + 1. Let z(r) = 13*r**3 + 37*r**2 + 19*r - 3. Let c(v) = 9*l(v) + 5*z(v). Determine c(-6). -18 Let x = -223 + 117. Let n = -102 - x. Let m(w) = w**3 - 5*w**2 + 7*w - 5. Calculate m(n). 7 Let s(h) be the first derivative of h**4/4 - 5*h**3/3 - 5*h**2 + 5*h + 1017. Calculate s(7). 33 Let c(i) = i**3. Let y(r) = r**3 + 4*r**2 + 2*r - 3. Let d(q) = -2*c(q) + y(q). Let t = -660 + 961. Let s = t + -297. What is d(s)? 5 Let o = 51 - 14. Suppose -6*t + 631 = o. Let n = t - 93. Let c(d) = -d**2 + 8*d - 9. What is c(n)? 3 Let q(v) = v - 4. Suppose -8*c + 147 = 179. Let d be (138/(-6) + 5)*c/8. What is q(d)? 5 Let d(i) = 16*i - 38. Let v(f) = 125*f - 297. Let y(a) = -47*d(a) + 6*v(a). Let p be (1 + (-4)/2)*6. What is y(p)? 16 Suppose 65*x - 57*x - 120 = 0. Suppose 5*a + x = 10*a. Let s(g) = 9*g - 3*g - 8 + 4. What is s(a)? 14 Let v(s) = s**2 + 3*s - 63. Suppose 3*i - 3*z = 25 - 1, -7 = 7*z. Calculate v(i). 7 Let k(n) = -2*n**3 + n**2 + n - 1. Let m = -20 + 24. Suppose 0 = -5*o, -o = -2*g + m*o + 2. Determine k(g). -1 Let p(s) be the first derivative of -s**4/4 - s**3/3 - s**2 + 4*s + 1189. What is p(0)? 4 Let w(m) = 29743*m + 29762*m - 59456*m. Determine w(-1). -49 Let y(p) = -6*p + 7. Suppose 48 = v + 53. Let d = v + 10. Calculate y(d). -23 Let d = 1 - -3. Let m be (d/3)/(2/9). Let b(n) = -2 - n**2 - 5 + 6 + 6*n - 5. Determine b(m). -6 Let z = 51 - 33. Suppose 2*q + 0*q + 4*b + 4 = 0, -5*q + 4*b = -z. Let o(l) = -238 - 8*l + 116 + 121. Calculate o(q). -17 Let f(c) = -c**2 - 4*c - 2. Let o(w) = w**3 + 3*w**2 - 6*w - 6. Suppose 4*a - 24 = 10*a. Let l be o(a). Suppose l*p + p = -18. Give f(p). -14 Let f(y) = y**2. Let m be f(2). Suppose -4 = -k + 10. Let l(w) = -k*w**2 + 13*w**2 - 5*w - 3*w + 12*w + 1. Calculate l(m). 1 Let j(x) = 6*x - 9. Let t(k) be the first derivative of 2*k**2 - 6*k + 145. Let s(r) = -5*j(r) + 8*t(r). Determine s(4). 5 Let k(m) be the third derivative of 0 - 1/120*m**6 - 48*m**2 + 0*m - 1/6*m**4 + 1/10*m**5 - 5/6*m**3. Determine k(4). 11 Let j be 1*(-1 + 0 + 4). Suppose j*u - 19 = -3*f + u, -5*f + 40 = -5*u. Let v(w) = -w**3 + 6*w**2 + 6*w + 13. Determine v(f). 6 Let y(n) = -16*n - 14. Let f(q) be the first derivative of -7*q**2/2 - 6*q - 85. Let c(g) = -14*f(g) + 6*y(g). What is c(4)? 8 Let m(j) = j - 1. Let b(k) = 16*k - 17*k - 8 - k. Suppose -4*t - t - 25 = 0. Let y be b(t). What is m(y)? 1 Let q(s) = 33*s**2 + 44 - 5*s**2 - s**3 - 143*s + 142*s. What is q(28)? 16 Let y(t) = t**3 - 2*t**2 + 2*t. Let x = 39 + -115. Let r = x + 80. Suppose 7*h - 22 = -r*h. Give y(h). 4 Let v(h) = 2*h**2 + 32*h + 46. Let t(g) = -202*g - 11125. Let q be t(-55). Determine v(q). 16 Suppose 3*x - 122 = x. Suppose x = 3*r + 16. Let v be (-4)/(-20) - (168/r)/(-4). Let c(q) = -2*q**2 + 3*q + 3. What is c(v)? -6 Let m(j) be the first derivative of j**4/4 - 2*j**3/3 - 5*j**2/2 + 3*j + 3. Let c = -49 - -48. Let a be ((-6)/72*9)/(c/4). Determine m(a). -3 Let t(d) = -d + 2. Let r(v) = -v**3 - 5*v**2 + 5*v. Let p be r(-6). Let f = -110 - -118. Suppose f*h + p = 10*h. Give t(h). -1 Let u(z) = -61*z - 919. Let o be u(-15). Let y(m) = m**2 - 5*m. What is y(o)? 36 Let g(h) = h**2 - 11*h + 29. Let y be g(5). Let u be (4/(-2) - y)*(-2 - -3). Let n(j) = -5*j + 0*j + 2*j + 1. What is n(u)? 4 Let c(o) = 14*o + 102. Let p(i) = 16*i + 111. Let g(b) = -3*c(b) + 2*p(b). Determine g(-8). -4 Suppose 5*t - 10 = -3*o + 23, -5*o + 55 = -t. Let c(y) = -2*y**2 + 24*y - 28. Calculate c
{ "pile_set_name": "DM Mathematics" }
*(n + 2)**3/3 Let h = 9547 + -105013/11. Solve 0*d - h*d**2 + 0 + 2/11*d**3 = 0 for d. 0, 2 Let j = 1412 + -151082/107. Let k = j + 418/535. Determine g, given that -k*g + 0 + 2/5*g**2 = 0. 0, 2 Let f(z) be the second derivative of z**7/8820 + z**6/1260 - z**5/140 - 11*z**4/3 - 9*z. Let q(p) be the third derivative of f(p). Solve q(w) = 0 for w. -3, 1 Let c(o) be the second derivative of 26*o**7/147 + 2*o**6/7 - 9*o**5/5 + 29*o**4/21 + 4*o**3/7 - 33*o. Solve c(z) = 0 for z. -3, -2/13, 0, 1 Let i(k) be the first derivative of -k**4/2 + 22*k**3 + k**2 - 66*k - 985. Suppose i(x) = 0. Calculate x. -1, 1, 33 Let n(b) be the first derivative of b**6/90 - b**5/60 - 2*b - 1. Let o(s) be the first derivative of n(s). Factor o(x). x**3*(x - 1)/3 Suppose -y - 2*y = 3*l, -2*l - y = -2. Let u be ((l - -1) + -1)/6. Factor -u*d**2 - 2/3*d - 1/3. -(d + 1)**2/3 Let d(b) = -5*b**3 - 8*b**2 + 5*b - 1. Let j(t) = -t**3 - 876*t**2 + 0*t**3 + 874*t**2 + t. Suppose 2*o - 2 - 2 = 0. Let k(i) = o*d(i) - 9*j(i). Factor k(g). -(g - 2)*(g - 1)*(g + 1) Factor 15*w + 53*w + 26*w - 32*w + 15*w**2 + 48*w - 80. 5*(w + 8)*(3*w - 2) Suppose -186*s + 182*s = -20. Let q(b) be the first derivative of 1/10*b**5 - 1/4*b**2 + 1/6*b**3 + s + 7/24*b**4 - 1/3*b. Factor q(w). (w + 1)**3*(3*w - 2)/6 Let v(t) be the first derivative of -7/4*t**4 + 12*t + 16 + 31/3*t**3 - 20*t**2. Determine w so that v(w) = 0. 3/7, 2 Let u(p) be the first derivative of p**8/1008 - p**7/126 + 7*p**6/360 - p**5/60 - 2*p**2 - 8. Let t(q) be the second derivative of u(q). Factor t(s). s**2*(s - 3)*(s - 1)**2/3 Find t such that 70*t**4 + 740*t + 1986*t**3 + 730*t**2 + 5*t**5 - 3964*t**3 + 2313*t**3 + 280 = 0. -7, -2, -1 Let u(o) be the second derivative of -o**6/150 + 5*o**5/4 - 861*o**4/10 + 11466*o**3/5 + 37044*o**2/5 - 170*o. Solve u(j) = 0. -1, 42 Let d = -2642/3 + 872. Let w = d + 12. Suppose -8/3*n**2 - 4/3 + 2/3*n**3 + w*n = 0. Calculate n. 1, 2 Let v(y) be the first derivative of y**6/3 + 34*y**5/5 + 115*y**4/2 + 258*y**3 + 648*y**2 + 864*y + 271. Factor v(d). 2*(d + 3)**3*(d + 4)**2 Let w be ((-12)/5)/(721/(-140) - -5). Let a = 18 - w. Suppose 3/2*k**3 + 0 + 0*k + 3/2*k**a = 0. Calculate k. -1, 0 Let s be (((-1554)/112)/37)/((-14)/16). Determine j so that -27/7*j**3 - 18/7*j**4 + 0*j + 0*j**2 + 0 - s*j**5 = 0. -3, 0 Let n = 1891 - 2647. Let l be (-1)/7 + (-297)/n - -1. Factor 5/2*i**2 - 5/2 + 5/4*i - l*i**3. -5*(i - 2)*(i - 1)*(i + 1)/4 Let z(m) be the second derivative of -5*m**6/24 + m**5/8 + m**4/2 - 5*m**3/12 + m**2/8 + 3*m - 53. Suppose z(n) = 0. Calculate n. -1, 1/5, 1 Let l be (272/51 + 2/(-6))/1. Let z = -12 + 21. Let -3*o**2 - o + 2*o**2 - z - l*o = 0. Calculate o. -3 Let c(o) be the third derivative of o**5/240 - 5*o**4/48 - 11*o**3/24 + 40*o**2 + 2. Factor c(z). (z - 11)*(z + 1)/4 Let r = 22 + -19. Factor -2*w**2 - 5*w**2 - 23*w**2 + 2*w**3 + 3*w**r. 5*w**2*(w - 6) Let j = 146 - 47. What is x in 10*x**2 - 3*x**2 - 108*x + j*x + 3 - 1 = 0? 2/7, 1 Let m be (-1)/5*10/(-24). Let f(h) be the first derivative of -m*h**4 + 4/9*h**3 + 9 - 5/6*h**2 + 2/3*h. Factor f(c). -(c - 2)*(c - 1)**2/3 Suppose -4*x = 13*x - 13*x + 16*x. Factor -4/5*m + x + 2/5*m**2. 2*m*(m - 2)/5 Let w(r) be the second derivative of -5*r**4/6 + 14*r**3 - 16*r**2 + 95*r - 1. Factor w(b). -2*(b - 8)*(5*b - 2) Factor -a**2 + 2*a**3 - 9186*a**4 - a + 9187*a**4 - a**3. a*(a - 1)*(a + 1)**2 Let g(r) = 5*r**2 - r + 2. Let p(l) = -6*l**2 - 6. Let d(z) = 5*g(z) + 4*p(z). Factor d(m). (m - 7)*(m + 2) Let k(c) be the third derivative of -c**7/490 - c**6/140 + c**5/140 + c**4/28 - 14*c**2 - 4*c. Suppose k(w) = 0. Calculate w. -2, -1, 0, 1 Factor -16/5*x - 2/5*x**4 + 12/5*x**2 + 6/5 + 0*x**3. -2*(x - 1)**3*(x + 3)/5 Factor -8/5*x**3 + 2/5*x**4 + 6/5*x**2 + 0 + 0*x. 2*x**2*(x - 3)*(x - 1)/5 Let h = -125 + 128. Let m(z) be the first derivative of -4/7*z**2 + 2/21*z**h - 5 + 8/7*z. Suppose m(d) = 0. Calculate d. 2 Let w(n) be the first derivative of 18 + 12*n + 42*n**3 - 26*n**3 - 17*n**3. Factor w(h). -3*(h - 2)*(h + 2) Let q be -6 + (-152)/(-96)*4. Solve -8/3*u - q*u**2 - 16/3 = 0 for u. -4 Suppose 0 = 2*i - 4*d - 4, -3*d + 248 - 240 = 4*i. Let t(f) be the second derivative of f**4 + 5/2*f**3 + 3*f**i + 3/20*f**5 + 0 - 10*f. Factor t(w). 3*(w + 1)**2*(w + 2) Let n(p) be the third derivative of 0 + 1/30*p**5 + 0*p**6 + 1/18*p**4 - 31*p**2 + 0*p + 0*p**3 - 1/315*p**7. Factor n(v). -2*v*(v - 2)*(v + 1)**2/3 Let o(q) be the first derivative of 3/4*q**4 + 4*q**3 - 28 + 0*q + 1/20*q**5 + 8*q**2. Factor o(t). t*(t + 4)**3/4 Let f(w) be the second derivative of -1/3*w**3 + 1/18*w**4 + 0 + 2/3*w**2 - 13*w. Determine u, given that f(u) = 0. 1, 2 Let o(k) be the first derivative of 2*k**6/9 - 56*k**5/15 + 23*k**4 - 560*k**3/9 + 200*k**2/3 + 408. Suppose o(b) = 0. Calculate b. 0, 2, 5 Let i = 6 + -4. Suppose 1077 = 270*u + 89*u. Solve 0 - 2/3*b - 14/3*b**u - 10/3*b**i - 2*b**4 = 0. -1, -1/3, 0 Let 0*a**4 + 49*a**2 + 8175*a + 35*a**3 + a**5 - 13*a**4 - 8175*a = 0. What is a? -1, 0, 7 Let l be (4 + (-90)/24)/((-2)/(-2)). Solve 0 - 3/4*p**2 - 1/2*p - l*p**3 = 0. -2, -1, 0 Let r(j) = -13 - 12*j - j**2 + 1 + 1 + 6*j. Let g(z) = 2*z**2 + 12*z + 23. Let i(u) = -3*g(u) - 7*r(u). Solve i(x) = 0 for x. -4, -2 Let n = 2287/90 - 226/9. Find s such that 3/5*s**3 - 1/10*s**4 + 1/5*s**2 - 1/10 - n*s - 3/10*s**5 = 0. -1, -1/3, 1 Suppose 3600/7 + 332/7*l**3 + 508*l**2 + 4/7*l**5 + 960*l - 100/7*l**4 = 0. What is l? -2, -1, 15 Suppose 0 = 5*t - 2 - 8. Factor -3*d - 2*d**4 - 10*d**3 - 7*d - 4*d - 4 - 12*d**t - 6*d**2. -2*(d + 1)**3*(d + 2) Let l(h) be the third derivative of -h**5/30 - 19*h**4/6 + 13*h**3 - 5*h**2 + 8. Suppose l(g) = 0. What is g? -39, 1 Let q be (10/(-15))/((-2)/(-15)). Let v(w) = 2*w**2 + 7*w + 5. Let n(i) = -i**2 - 4*i - 3. Let g(p) = q*n(p) - 3*v(p). Determine h so that g(h) = 0. -1, 0 Solve 68/5 - 1/5*i**2 - 13/5*i = 0 for i. -17, 4 Let c(r) be the second derivative of -r**7/7560 - r**6/2160 + r**5/180 + 7*r**4/4 + 5*r. Let d(g) be the third derivative of c(g). Factor d(h). -(h - 1)*(h + 2)/3 Let l be 10/(-55) - 18/22. Let z be -4*l/2 + 1. Factor 0 + 8*x**2 - z*x**2 + 8*x - 4. (x + 2)*(5*x - 2) Let a = -90 + 94. Let k(u) be the third derivative of -1/360*u**6 + 0*u + 0*u**3 + 1/36*u**a - 1/180*u**5 + 4*u**2 + 0. Let k(s) = 0. Calculate s. -2, 0, 1 Let m be (-2 + -28)*(-6)/10 - 0. Let c be 45/7 + (-5)/(210/m). Factor c + 4*h + 2/3*h**2. 2*(h + 3)**2/3 Let u(k) = -46*k + 644. Let j be u(14). Let b(m) be the second derivative of -7*m - 7/60*m**5 + j + 0*m**2 + 1/18*m**4 + 0*m**3. Factor b(l). -l**2*(7*l - 2)/3 Let z(n) be the second derivative of n**7/1050 - n**6/200 + n**5/100 - n**4/120 + 17*n**2/2 - 5*n. Let y(q) be the first derivative of z(q). Factor y(t). t*(t - 1)**3/5 Let j be ((-98)/49)/(4/(-10)*10/6). Factor 56/9*o - 6*o**4 - 6*o**j + 4*o**2 + 16/9. -2*(o - 1)*(3*o + 2)**3/9 Let o = 10 - 10. Let i be -2*(-1)/(-2) + o. Let g(s) = s**2. Let r(z) = 15*z**2 + 21*z + 6. Let d(c) = i*r(c) + 6*g(c). Factor d(f). -3*(f + 2)*(3*f + 1) Let d(l) be the first derivative of 3*l**5/5 + 9*l**4/4 - 3*l**3 - 33*l**2/2 - 18*l - 125. Solve d(f) = 0. -3, -1, 2 Let g(n) be the second derivative of -5*n**4/12 + 35*n**3/6 + 45*n**2 - n - 71. Factor g(b). -5*(b - 9)*(b + 2) Let -4/3*x**2 - 2/3*x**3 + 0 + 16/3*x = 0. What is x? -4, 0, 2 Determine g, given that 150*g + 37*g + 203*g + 5*g**2 = 0. -78, 0 Suppose -539 = 4*p - 2*s - 105, s - 327 = 3*p. Let d = -105 - p. Suppose 14/11*i**4 + 0 + 10/11*i**3 + 2/11*i**2 + 0*i + 6/11*i**d = 0. Calculate i. -1, -1/3, 0 Let u(a) = -7*a**3 - a**2 - 8*a + 8. Let w(i) = -9*i**3 - 9*i + 5. Let f(p) = 5*u(p) - 4*w(p). Suppose f(k) = 0. Calculate k. -2, 2, 5 Determine f, given that 140/3*f - 5/3*f**3 - 20*f**2 + 0 = 0. -14, 0, 2 Suppose 863*d = 864*d - 7. Let m(s) be the third derivative of 5/48*s**4 - d*s**2 + 0 + 1/30*s**5 + 1/240*s**6 + 0*s + 1/6*s**3. Factor m(z). (z + 1)**2*(z + 2)/2 Let j(o) = -9*o**2 - 25*o - 22. Let z(i) = 19*i**2 + 50*i + 42. Let g(d) = 9*j(d) + 4*z(d). Factor g(t). -5*(t + 2)*(t + 3) Let v = -41 - -44. Let k(x) be the first derivative of -3/2*x**4 - 12*x**2 + 1/2*x**6 + 3 + 0*x - 12*x**v + 9/5*x**5. Factor k(s). 3*s*(s - 2)*(s + 1)*(s + 2)**2 Let u(s) = -s**2 - 6*s + 116. Let w be u(-14). Let h(z) be the
{ "pile_set_name": "DM Mathematics" }
d 12? 12 What is the highest common factor of 15741 and 22? 11 What is the highest common divisor of 46 and 9683? 23 What is the highest common divisor of 243 and 1? 1 What is the greatest common divisor of 11024 and 312? 104 Calculate the highest common divisor of 2375 and 100. 25 Calculate the greatest common divisor of 4094 and 2848. 178 Calculate the highest common divisor of 104 and 182. 26 What is the greatest common factor of 714 and 126? 42 Calculate the highest common factor of 21 and 3066. 21 What is the greatest common divisor of 137 and 3288? 137 Calculate the highest common factor of 108 and 1755. 27 Calculate the greatest common divisor of 266 and 14. 14 What is the highest common factor of 4408 and 304? 152 Calculate the highest common divisor of 464 and 16. 16 What is the greatest common divisor of 6 and 2328? 6 What is the greatest common divisor of 48 and 9552? 48 Calculate the highest common factor of 5 and 35. 5 Calculate the highest common divisor of 5796 and 49. 7 What is the greatest common divisor of 98 and 182? 14 Calculate the greatest common factor of 2 and 580. 2 Calculate the greatest common factor of 40 and 70. 10 What is the greatest common factor of 436 and 2071? 109 What is the highest common divisor of 28 and 126? 14 What is the greatest common factor of 418 and 66? 22 What is the greatest common divisor of 142 and 355? 71 What is the greatest common divisor of 1320 and 24? 24 What is the greatest common divisor of 20 and 152? 4 Calculate the greatest common divisor of 75225 and 75. 75 What is the highest common divisor of 2919 and 42? 21 What is the highest common divisor of 2275 and 525? 175 Calculate the greatest common factor of 63 and 616. 7 Calculate the highest common factor of 24 and 372. 12 Calculate the highest common factor of 28 and 2954. 14 What is the highest common factor of 520 and 1430? 130 What is the greatest common factor of 4842 and 18? 18 Calculate the highest common divisor of 5993 and 13. 13 What is the highest common factor of 972 and 24? 12 Calculate the highest common factor of 3072 and 448. 64 Calculate the highest common divisor of 546 and 637. 91 What is the greatest common divisor of 102 and 3774? 102 Calculate the highest common divisor of 29 and 493. 29 What is the greatest common factor of 2 and 71? 1 Calculate the greatest common divisor of 2196 and 244. 244 What is the greatest common factor of 20275 and 25? 25 What is the greatest common factor of 3026 and 178? 178 Calculate the highest common factor of 2050 and 6. 2 Calculate the highest common divisor of 3026 and 1246. 178 Calculate the greatest common divisor of 43369 and 31. 31 What is the highest common divisor of 28 and 12? 4 What is the greatest common divisor of 96 and 108? 12 What is the greatest common factor of 39 and 52? 13 Calculate the highest common factor of 13 and 104. 13 Calculate the highest common divisor of 6989 and 29. 29 What is the highest common divisor of 11328 and 36? 12 Calculate the greatest common divisor of 70 and 42. 14 What is the greatest common divisor of 7909 and 11? 11 What is the greatest common factor of 49 and 539? 49 What is the highest common divisor of 1497 and 3? 3 Calculate the highest common divisor of 1003 and 34. 17 Calculate the greatest common divisor of 10044 and 9. 9 What is the highest common divisor of 6 and 144? 6 What is the greatest common divisor of 680 and 30? 10 What is the greatest common divisor of 10 and 105600? 10 Calculate the greatest common divisor of 12285 and 90. 45 What is the greatest common factor of 23 and 10511? 23 What is the highest common factor of 1300 and 200? 100 What is the greatest common divisor of 18 and 81? 9 What is the highest common divisor of 53 and 636? 53 Calculate the greatest common divisor of 360 and 90. 90 What is the greatest common factor of 45 and 180? 45 What is the greatest common factor of 80 and 410? 10 What is the greatest common factor of 36 and 99? 9 What is the greatest common divisor of 348 and 12? 12 What is the greatest common factor of 54 and 4? 2 What is the greatest common divisor of 23128 and 4? 4 Calculate the greatest common divisor of 855 and 18. 9 What is the greatest common factor of 756 and 112? 28 What is the highest common divisor of 1632 and 128? 32 Calculate the highest common divisor of 59 and 472. 59 Calculate the greatest common divisor of 10191 and 948. 237 Calculate the highest common factor of 1120 and 385. 35 What is the highest common factor of 1314 and 243? 9 What is the highest common divisor of 3 and 192? 3 Calculate the greatest common factor of 432 and 96. 48 What is the highest common factor of 10 and 25? 5 Calculate the greatest common divisor of 1161 and 18. 9 Calculate the greatest common divisor of 3965 and 122. 61 What is the greatest common factor of 1406 and 570? 38 Calculate the highest common factor of 1426 and 23. 23 Calculate the greatest common factor of 144 and 8544. 48 What is the highest common factor of 162 and 1824? 6 What is the highest common divisor of 56 and 1204? 28 What is the greatest common divisor of 299 and 13? 13 What is the greatest common factor of 70 and 28? 14 What is the highest common divisor of 10 and 3890? 10 What is the highest common divisor of 3237 and 996? 249 What is the greatest common factor of 66 and 66? 66 Calculate the highest common divisor of 93 and 15996. 93 What is the highest common factor of 47 and 799? 47 Calculate the highest common divisor of 18 and 576. 18 Calculate the highest common divisor of 594 and 22. 22 What is the highest common divisor of 775 and 31? 31 What is the highest common factor of 47 and 2209? 47 Calculate the highest common divisor of 2 and 29. 1 Calculate the greatest common factor of 136 and 50320. 136 What is the greatest common divisor of 650 and 2450? 50 Calculate the highest common divisor of 27 and 135. 27 What is the highest common divisor of 160 and 28640? 160 Calculate the highest common factor of 1 and 54. 1 What is the highest common divisor of 228 and 318? 6 What is the greatest common factor of 18 and 828? 18 What is the highest common divisor of 42 and 1022? 14 What is the greatest common factor of 134 and 37654? 134 What is the highest common factor of 12957 and 14? 7 Calculate the highest common factor of 42 and 462. 42 Calculate the greatest common factor of 44 and 4521. 11 Calculate the highest common divisor of 480 and 22. 2 What is the highest common factor of 56 and 51044? 28 What is the highest common factor of 8 and 14? 2 Calculate the greatest common divisor of 37 and 6142. 37 Calculate the greatest common divisor of 187 and 330. 11 Calculate the greatest common divisor of 24 and 30. 6 Calculate the greatest common factor of 1053 and 405. 81 What is the highest common factor of 633 and 3587? 211 Calculate the greatest common divisor of 164 and 332. 4 What is the greatest common factor of 165 and 869? 11 Calculate the highest common factor of 208 and 104. 104 What is the highest common divisor of 95 and 19? 19 Calculate the greatest common factor of 12193 and 137. 137 Calculate the greatest common factor of 92 and 115. 23 Calculate the highest common divisor of 620 and 80. 20 What is the highest common factor of 129 and 860? 43 Calculate the greatest common divisor of 126 and 198. 18 Calculate the highest common factor of 1537 and 29. 29 Calculate the greatest common factor of 162 and 2556. 18 Calculate the highest common divisor of 240 and 5880. 120 What is the highest common factor of 34 and 1071? 17 What is the highest common factor of 64 and 56? 8 Calculate the highest common factor of 51 and 272. 17 What is the highest common factor of 11942 and 14? 14 Calculate the greatest common factor of 5 and 167. 1 Calculate the greatest common factor of 304 and 32. 16 Calculate the greatest common divisor of 125 and 75. 25 Calculate the highest common divisor of 35 and 14. 7 What is the highest common divisor of 5 and 1555? 5 What is the highest common factor of 246 and 120? 6 Calculate the highest common factor of 192 and 3. 3 Calculate the highest common divisor of 38 and 475. 19 What is the highest common factor of 630 and 960? 30 Calculate the greatest common factor of 53 and 371. 53 What
{ "pile_set_name": "DM Mathematics" }
6 What is the next term in 174, 173, 170, 165, 158, 149? 138 What comes next: 10, 36, 94, 196, 354, 580, 886, 1284? 1786 What is the next term in -1044, -2090, -3136, -4182? -5228 What is the next term in -1176, -1174, -1172? -1170 What is next in -223, -446, -669, -892? -1115 What comes next: -906, -898, -878, -840, -778, -686, -558? -388 What is next in -117, -480, -1085, -1932, -3021, -4352? -5925 What comes next: -129, -129, -127, -123? -117 What is the next term in 137, 135, 133, 131, 129? 127 What is the next term in 1, -19, -47, -77, -103, -119? -119 What is the next term in -32, -138, -314, -560, -876, -1262, -1718? -2244 What is the next term in -9, -11, -1, 33, 103, 221? 399 What is the next term in -29, -63, -97, -131? -165 What is the next term in 26, 84, 186, 338, 546, 816, 1154, 1566? 2058 What comes next: 19, 57, 173, 409, 807, 1409, 2257? 3393 What is next in 781, 786, 801, 832, 885, 966? 1081 What comes next: -524, -520, -512, -500, -484? -464 What is the next term in -8, -20, -12, 28, 112, 252, 460? 748 What is next in -4870, -4880, -4896, -4918, -4946, -4980, -5020? -5066 What is the next term in -117, -230, -343, -456, -569? -682 What comes next: 3, 20, 23, 6, -37, -112, -225? -382 What comes next: 273, 545, 821, 1101, 1385, 1673? 1965 What is next in 122, 108, 68, -10, -138, -328? -592 What is the next term in -14416, -28834, -43252, -57670? -72088 What is next in -647, -649, -651, -653, -655, -657? -659 What comes next: -123, -238, -339, -420, -475, -498, -483? -424 What is the next term in 39, 73, 149, 285, 499, 809, 1233, 1789? 2495 What is the next term in 28, 57, 86, 115, 144? 173 What is the next term in 583, 1167, 1749, 2329, 2907, 3483? 4057 What is next in -1380, -2762, -4144, -5526, -6908? -8290 What comes next: 124, 110, 96? 82 What comes next: 157, 161, 167, 175, 185? 197 What comes next: 1199, 1201, 1205, 1211? 1219 What is next in -4, -30, -64, -100, -132, -154, -160? -144 What is next in 272, 274, 276, 278, 280? 282 What is next in -168, -207, -242, -273, -300, -323, -342? -357 What comes next: -25, -75, -159, -277, -429, -615, -835? -1089 What is the next term in -759, -758, -757, -756, -755? -754 What comes next: -1, -31, -121, -301, -601, -1051? -1681 What is next in -20, -29, -40, -53? -68 What is the next term in -52, -59, -86, -145, -248? -407 What is the next term in 68, 134, 192, 236, 260? 258 What comes next: -484, -482, -478, -472, -464, -454, -442? -428 What comes next: 387, 169, -61, -309, -581? -883 What comes next: 450, 1799, 4044, 7185, 11222, 16155, 21984? 28709 What is next in 16, 50, 114, 214, 356, 546, 790, 1094? 1464 What is the next term in 487, 470, 439, 388, 311, 202, 55, -136? -377 What comes next: -181, -320, -459, -598? -737 What is the next term in -42, -69, -78, -63, -18? 63 What comes next: -21, -20, -5, 30, 91, 184, 315? 490 What comes next: -322, -320, -318? -316 What is the next term in -6, 1, 20, 57, 118? 209 What is the next term in 16, 86, 202, 364, 572, 826, 1126? 1472 What comes next: 76, 313, 732, 1351, 2188, 3261, 4588? 6187 What is the next term in -72, -101, -168, -291, -488? -777 What is the next term in 55, 112, 167, 220, 271? 320 What is the next term in -1732, -1734, -1736, -1738, -1740? -1742 What is next in 18, 44, 92, 174, 302, 488, 744? 1082 What is the next term in 280, 556, 830, 1102, 1372, 1640, 1906? 2170 What comes next: -1177, -1180, -1183, -1186, -1189, -1192? -1195 What comes next: 1517, 1514, 1509, 1502, 1493, 1482? 1469 What is the next term in 1398, 1396, 1394, 1392? 1390 What comes next: 433, 872, 1311, 1750, 2189? 2628 What is the next term in 6, 13, 20, 27, 34, 41? 48 What is the next term in 30, 155, 294, 453, 638? 855 What is next in 301, 609, 915, 1219, 1521? 1821 What is the next term in -152, -280, -422, -584, -772, -992? -1250 What is the next term in -805, -1613, -2421, -3229, -4037? -4845 What is next in -25, -269, -959, -2323, -4589? -7985 What is next in -1411, -1394, -1367, -1324, -1259? -1166 What comes next: 432, 1709, 3834, 6807, 10628? 15297 What is the next term in -2735, -2744, -2755, -2768, -2783? -2800 What is the next term in 4325, 4323, 4321, 4319, 4317, 4315? 4313 What is next in 2, 4, 4, 2, -2, -8? -16 What is next in -54, -66, -80, -90, -90, -74, -36, 30? 130 What is the next term in 28, 88, 182, 310, 472, 668, 898? 1162 What is next in -1071, -1074, -1079, -1086, -1095? -1106 What is next in -1, 63, 187, 371, 615, 919? 1283 What is next in -21, -33, -39, -39, -33, -21? -3 What is next in -18, -28, -52, -96, -166, -268? -408 What is the next term in 144, 146, 148, 150, 152? 154 What comes next: -589, -1178, -1767? -2356 What is next in -275, -266, -257, -248? -239 What is next in -5716, -5717, -5718, -5719, -5720, -5721? -5722 What is next in 235, 225, 209, 187, 159? 125 What comes next: 53, 52, 49, 44, 37, 28? 17 What comes next: 23, 64, 137, 248, 403, 608, 869, 1192? 1583 What is next in 3, 14, 29, 54, 95, 158? 249 What is next in -1079, -2159, -3239, -4319, -5399? -6479 What is next in -291, -594, -895, -1194, -1491, -1786? -2079 What is the next term in 2, 11, 18, 23? 26 What is next in 0, -95, -248, -453, -704, -995, -1320? -1673 What is next in -327, -668, -1009, -1350, -1691, -2032? -2373 What is the next term in -645, -2611, -5895, -10503, -16441? -23715 What is next in -3, 7, 35, 87, 169, 287? 447 What comes next: -407, -816, -1227, -1640? -2055 What is next in 109, 112, 115, 118, 121, 124? 127 What comes next: -824, -827, -840, -869, -920? -999 What is the next term in 169, 167, 165, 163? 161 What is the next term in 14, 31, 58, 95, 142, 199? 266 What is next in -335, -675, -1025, -1391, -1779? -2195 What comes next: -2, 3, 4, -5, -30? -77 What is the next term in -37, -173, -307, -439, -569, -697, -823? -947 What is next in 29, 25, -3, -67, -179, -351? -595 What is the next term in 1833, 1827, 1819, 1809, 1797, 1783, 1767? 1749 What is the next term in 53, 214, 483, 860, 1345, 1938? 2639 What comes next: -297, -1183, -2659, -4725, -7381, -10627? -14463 What comes next: -785, -795, -803, -809, -813, -815, -815? -813 What is the next term in 9, 47, 149, 345, 665, 1139, 1797, 2669? 3785 What is the next term in -251, -930, -2053, -3614, -5607, -8026, -10865? -14118 What is next in 83, 161, 225, 269, 287, 273, 221? 125 What is the next term in 31535, 31536, 31537, 31538, 31539, 31540? 31541 What is the next term in -58, -221, -492, -871, -1358, -1953? -2656 What comes next: -59, -201, -435, -767, -1203, -1749, -2411, -3195? -4107 What is the next term in -4362, -8723, -13084, -17445, -21806, -26167? -30528 What comes next: 81, 78, 73, 66, 57? 46 What is next in 18, 26, 38, 54? 74 What is the next term in -13, -4, -5, -22, -61, -128, -229, -370? -557 What is the next term in -291, -301, -313, -327, -343, -361? -381 What is the next term in 229, 457, 681, 901? 1117 What is next in -4, 9, 56, 155, 324, 581? 944 What is the next term in -2594, -5189, -7784, -10379? -12974 What is the next term in -1121, -1121, -1111, -1085, -1037, -961? -851 What is next in 55, 45, 31, 13? -9 What is next in -22, -24, -28, -34, -42, -52? -64 What is next in -7871, -15740, -23609? -31478 What is next in -142, -251, -358, -463, -566, -667? -766 What is next in 188, 383, 582, 785, 992, 1203, 1418? 1637 What is next in -34, -47, -74, -121, -194? -299 What is next in -2, -25, -66, -131, -226, -357, -530? -751 What is the next term in -490, -985, -1480, -1975, -2470? -2965 What is the next term in 326, 328, 330? 332 What comes next: -178, -151, -110, -55, 14, 97, 194? 305 What is the next term in -236, -402, -568, -734, -900, -1066? -1232 What is the next term in -49, -199, -449, -799, -1249? -1799 What comes next: 7, 2, -15, -50, -109? -198 What is next in 13, 7, -7, -35, -83, -157, -263? -407 What comes next: -34829, -34827, -34825, -34823? -34821 What is next in 7, 1, -5, -11, -17? -23 What comes next: 158, 308, 476, 668, 890, 1148, 1448, 1796? 2198 What is the next term in 5, -39, -165, -415, -831, -1455? -2329 What is the next term in -117, -235, -369, -525, -709, -927? -1185 What is next in 35, 64, 97, 122, 127, 100? 29 What is the next term in -509, -511, -513? -515 What comes next: -8, -18, -30, -44, -60, -78, -98? -120 What is t
{ "pile_set_name": "DM Mathematics" }
/((-2)/(-12)) 3 Calculate (3/(-1))/(7/((-28)/(-6))). -2 Evaluate ((-16)/(-16))/(63/(-27)). -3/7 Calculate ((-1)/2)/(135/60). -2/9 ((-3)/5)/(4/(20/1)) -3 What is 3/(-2)*4/(-114)*-2? -2/19 Calculate (4/3)/((-11)/33). -4 What is the value of 4*(-14)/(-4)*(-3)/7? -6 Evaluate (1/(28/8))/((-3)/7). -2/3 1/((-2)/12*-15)*5 2 (6/15*5)/((-4)/4) -2 What is ((-3)/(-14))/(2/(-42)*6)? -3/4 Evaluate ((-3)/18)/((-3)/3). 1/6 What is 0/(-6)*11/(-22)? 0 What is the value of (3/(-36))/((-42)/(-112))? -2/9 (15/(-25))/((-4)/(-20)) -3 What is (-558)/465*-2*2/(-8)? -3/5 Calculate (-20)/8*20/(-25). 2 Evaluate (-384)/(-48)*(45/(-156))/(-5). 6/13 Evaluate 3/4*(-2)/6. -1/4 What is the value of (36/1836)/((-3)/(-36)*2)? 2/17 Calculate (16/(-84))/(4/(-6)). 2/7 (29/(-87))/((-1)/(-9)) -3 Calculate 12/8*(-5)/15. -1/2 Calculate (-3)/2*(-120)/45. 4 Calculate (-12)/20*(-60)/9. 4 Evaluate ((-3)/33)/(3/3). -1/11 Calculate ((-81)/162)/((-2)/(-12)). -3 What is ((-1500)/1650)/(1/11)? -10 Evaluate (0/7)/((-2)/(-2)). 0 Evaluate (9/(27/(-4)))/10. -2/15 Evaluate 8/3*(-21)/28. -2 What is (1/15)/(20/60)? 1/5 (10/8)/(8/(-32)) -5 What is 2408/2580*(-6)/(-14)? 2/5 What is (-9*14/(-63))/(8/5)? 5/4 (-1*-6*1)/((-231)/154) -4 (60/(-25))/((-12)/20) 4 What is (-3)/(-2)*12/(-6)? -3 (-36)/(-12)*(-2)/(-3) 2 Calculate ((-18)/144*12)/(6/(-44)). 11 Calculate (4/4*-2)/((-45)/(-5)). -2/9 What is -3*2*42/84? -3 What is (-25)/(-5)*(-4)/(-10)? 2 ((-3)/(-21))/((-15)/(-35)) 1/3 What is 57/855*1*-3? -1/5 What is 1/1*-1*1? -1 (23/(2116/69))/(1/4) 3 What is the value of 7/(-3)*2/(-21)? 2/9 ((-42)/(-35))/(8/(-5)) -3/4 (-7)/140*2*-4 2/5 What is (46/115)/((-6)/(-20))? 4/3 2/(((-272)/(-40)*5)/2) 2/17 Evaluate (-10)/(-15)*(-1)/((-7)/(-6)). -4/7 Calculate (3/((-84)/16))/((-8)/(-84)). -6 Evaluate (-27)/(-18)*20/(-21). -10/7 1/(3/12*-2) -2 What is the value of (15*(-4)/(-180))/((-2)/30)? -5 Evaluate (-3)/1617*-14*(-7)/1. -2/11 What is (-3)/(-2)*(-3)/(189/14)? -1/3 Calculate -4*1/(3/(-6)*4). 2 What is ((-9)/18)/(3/6)? -1 Calculate 1/(-3)*3*27/72. -3/8 ((-6)/(-10))/(5/(-25)) -3 (25/35)/(48/(-84)) -5/4 Evaluate (-4)/(-9)*(-18)/(-72). 1/9 What is the value of -1*(-15)/(-220)*-8? 6/11 What is the value of (13/65)/((-12)/(-50))? 5/6 Evaluate (-2)/(-2)*4/(-40)*6. -3/5 Calculate 1/((75/(-10))/3). -2/5 What is the value of (0/13)/(1*-2)? 0 What is the value of 2*(-8)/16*-4? 4 Evaluate ((16/(-100))/(-2))/((-3)/15). -2/5 (-3)/((-2)/((-5)/(300/(-16)))) 2/5 18/36*(-18)/15 -3/5 2/24*3*245/(-49) -5/4 Evaluate 0/(5/5*-2). 0 (-98)/49*(-3)/9 2/3 What is (-30)/36*8*(-8)/40? 4/3 What is (-6)/(-8)*5/(-15)? -1/4 What is the value of (-24*(-2)/80)/((-3)/2)? -2/5 Evaluate (4/(-8))/(1/2). -1 Evaluate (-2)/(-4)*(200/(-55))/(-10). 2/11 Evaluate 9/(-15)*30/6. -3 What is (-2)/(((-9)/12)/((-9)/(-42)))? 4/7 What is (-42)/(-10)*3/(315/30)? 6/5 What is ((-8)/(-48))/(6/12)? 1/3 Evaluate 7/(-2)*(-4)/7. 2 28/(-4)*(-2)/7 2 Calculate (678/791)/(8/(-14)). -3/2 What is -2*3/(-30)*4/2? 2/5 What is the value of 4/48*(-22)/(-11)? 1/6 What is (-3*1/(-21))/((-7)/7)? -1/7 Calculate 1/22*12/3. 2/11 Evaluate (-12)/6*(-4)/2. 4 What is the value of (736/4600)/(4/10)? 2/5 What is the value of 2*(-1)/9*81/(-153)? 2/17 Evaluate (14/35)/((-33)/(-15)). 2/11 (45/27)/(((-2)/(-6))/1) 5 What is -10*1*(-7)/28*2? 5 Evaluate ((32/(-18))/8)/1. -2/9 What is 10/(-28)*(-112)/140? 2/7 What is the value of (-3)/(((-7)/(-6))/((-9)/(-54)))? -3/7 Calculate -3*3/(-63)*6/(-3). -2/7 What is (-2)/(-2)*3/3? 1 Calculate ((-2)/6)/(9/(-9)). 1/3 What is 50/(-30)*(-9)/5? 3 What is the value of (-1)/(-3)*(-6)/(-3)? 2/3 What is (5/6)/((-190)/(-114))*4? 2 Calculate (-12)/10*(-20)/12. 2 What is the value of (14/21)/(14/6)? 2/7 Evaluate (240/18)/(-8)*-3. 5 5/(((-12)/(-54))/(10/75)) 3 10/4*640/2000 4/5 Calculate 5/(5/(7/(14/12))). 6 What is (58/29)/(2/4)? 4 What is ((-4)/(-14))/(63/294)*-1? -4/3 Calculate 54/144*4/(-9). -1/6 What is the value of 5/15*(-19)/(19/(-18))? 6 Calculate ((-32)/(-2))/(-4)*2/(-44). 2/11 What is (3/(-9))/((-2)/(-8))? -4/3 Evaluate -2*-4*5/(-10). -4 Calculate ((-2)/(-3))/(-3*2/18). -2 (-4)/(32/4)*0/(-1) 0 -1*1*(-6)/3 2 Calculate ((-8)/((-400)/(-70)))/(1/5). -7 What is the value of 3*4/8*(-14)/(-21)? 1 Calculate ((-3)/24)/((-84)/96). 1/7 (3/12)/(2/(-4)) -1/2 Evaluate 10*((-18)/(-12))/(-3). -5 What is 12/(-2)*-1*(-4)/(-6)? 4 What is the value of (-3)/2*(-50)/(-15)? -5 Calculate 16/16*(-6)/10. -3/5 Evaluate (1*4/(-1))/(-42). 2/21 What is (-4)/(-2)*(-13)/(312/84)? -7 What is ((-1)/(-2))/((-9)/18)? -1 Calculate -4*(-5)/((-60)/6). -2 Evaluate ((-6)/(-171))/(5/15). 2/19 (3/(-12))/((-36)/(-96)) -2/3 Calculate ((-8)/(-7))/((-91)/637). -8 What is ((-3)/(-3))/((-33)/11)? -1/3 Evaluate (20/45)/(68/18). 2/17 (216/(-45))/12*15/4 -3/2 (-80)/(-320)*12*-1 -3 Calculate ((-3)/21)/(2/6). -3/7 6/(-3)*(-57)/(-38) -3 What is ((-36)/72)/(5/3)? -3/10 What is (-1)/(1/4*(-66)/(-33))? -2 Calculate (104/39)/(2/(-3)). -4 -1*16/(-40)*-15 -6 -1*((-2)/(-7))/2*-2 2/7 Evaluate 4/48*-9*(-80)/15. 4 5*(-10)/150*21 -7 What is 2/(((-14)/(-3))/(-7))? -3 Calculate ((-6)/(-21))/((40/14)/(-4)). -2/5 What is 1/(-3)*(-30)/20? 1/2 Evaluate (-11)/110*-3*2. 3/5 7/7*(-3)/21 -1/7 (-1)/(-2*(-12)/(-120)) 5 Evaluate (-3)/(-4)*(-64)/120. -2/5 Calculate (34/(-60))/17*4. -2/15 Calculate ((-120)/700)/(6/10). -2/7 What is (468/390)/(2/1)? 3/5 Calculate ((-4)/5)/(36/(-9)). 1/5 (-10)/2*67/67 -5 (160/20)/(2*-1) -4 What is the value of 2/3*-9*6/12? -3 Evaluate (-8)/(-16)*30/5. 3 ((-1)/(10/(-6)))/(9/60) 4 (6/(-30))/((-12)/(-36)) -3/5 What is (-6)/30*(-5)/6? 1/6 ((-1)/12)/(3/8) -2/9 (-2)/48*-9*60/(-27) -5/6 Calculate ((10/8)/5)/(96/128). 1/3 What is the value of (-8)/6*(-48)/32? 2 What is (4/(-6))/(28/12)? -2/7 Evaluate ((-5)/5)/((-1)/42*-6). -7 What is (2/(-3))/((-5)/(-3))? -2/5 What is the value of 0/(2*-4*5/(-20))? 0 What is the value of 8/(-4)*(-8)/(-80)? -1/5 ((-13)/52)/((-9)/24) 2/3 What is ((36/15)/(-12))/(3/(-15))? 1 Evaluate (-3)/((99/(-6))/11). 2 (4*4/40)/((-1)/5) -2 Evaluate 2/(8/6)*4/(-30). -1/5 Calculate ((-28)/(-70))/((-2)/(-1)). 1/5 What is (3/21)/(11/7)? 1/11 What is the value of 12/(-4)*2/6? -1 Evaluate (-12)/(2/5*5). -6 What is (-2)/20*35/14*-2? 1/2 Evaluate ((-2)/8)/((-15)/40*1). 2/3 Evaluate (5/((-5)/(-8)))/2. 4 What is the value of (((-4)/8)/1)/1? -1/2 Evaluate (-3)/6*3*(-120)/(-45). -4 Evaluate 30/20*(-2)/4. -3/4 8*(-160)/120*2/16 -4/3 What is (60/(-7))/4*32/80? -6/7 What is the value of 6*4/144*4? 2/3 Evaluate 4/(-12)*(-576)/320. 3/5 Evaluate 3*(-3)/(-27)*-3. -1 Evaluate 1/(3/1*3/(-9)). -1 What is (-6)/(-1)*1*47/(-141)? -2 Evaluate ((-45)/(-24))/((-279)/(-124)). 5/6 What is (73/3723)/((-2)/(-12))? 2/17 Calculate 3/5*5*(-16)/6. -8 What is ((-18)/10)/(12*(-8)/160)? 3 Calculate 4/2*(8/8)/(-12). -1/6 What is the value of 60/(-120)*10*1? -5 Calculate ((-78)/65)/(12/40). -4 What is (4/7)/((-66)/231)? -2 Calculate (-2)/6*15*30/25. -6 What is (-6)/(-20)*60/6? 3 What is (-13)/117*4*15/20? -1/3 What is the value of ((-3)/(-2))/((-16)/16)? -3/2 Evaluate -6*((-12)/1)/(-24). -3 What is ((-3)/9*6)/(-2)? 1 What is the value of (((-10)/(-12))/((-245)/(-196)))/(-4)? -1/6 -5*(-8)/(-60)*6 -4 What is the value of (0/(-10))/(30/5)? 0 What is the value of ((-16)/(-2))/(23/(230/(-20)))? -4 (-32)/(-8)*(-2)/4 -2 Calculate ((-4)/((-4)/(-3)))/((-3)/(-2)). -2 What is 16/(-12)*6/4? -2 What is (-27)/(-126)*2/3*3? 3/7 What is the value of 260/(-104)*(-2)/(-10)? -1/2 What is the value of (5/(50/(-6)))/3? -1/5 Calculate 8/12*3/(6/(-1)). -1/3 What is (-462)/(-198)*3/1*-1? -7 77/(-44)*1/(21/(-9)) 3/4 What is the value of 1/((874/(-4))/19)? -2/23 Calculate ((-8)/(-3))/(2/(-3)). -4 Calculate ((-27)/9)/((-3)/(-5)). -5 Evaluate 12/(-90)*5*(-4)/8. 1/3 What is (2/7)/((-425)/(-119))*-5? -2/5 What is the value of (-2)/(-3)*63/(-42)? -1 Evaluate 0/((-4)/2)*2/4. 0 What is (-1377)/612*(-8)/(-2)? -9 What is the value of 36/32*4/6? 3/4 Calculate 21/6*10/42. 5/6 8/18*18/12 2/3 What is the value of 2/(-306)*-9*2*-1? -2/17 Calculate (39/26)/(3/(-6)). -3 Calculate -3*((-28)/(-24))/(-7). 1/2 What is the value of (12*(-9)/(-396))/(6/(-4))? -2/11 Evaluate ((-4)/(-40))/((-8)/(-560)). 7 Evaluate (-9)/3*2/4*-2. 3 What is (-2*3/4)/(13/(-26))? 3 What is ((-6)/(-10))/((-9)/(-45))? 3 Calculate (-2)/6*1/(-1). 1/3 What is (-16)/(-6)*(-48)/(-32)? 4 10/4*15/((-525)/(-28)) 2 2/((-6)/(-48
{ "pile_set_name": "DM Mathematics" }
)? 20 Calculate (-18)/(-16)*(-16)/(-264)*-11. -3/4 What is the value of -69*(-7)/161 + 0 + (-1 - -8)? 10 What is (-106)/(-22) + (3/(-6) - 525/(-770))? 5 What is 5 - (-48)/30 - 7? -2/5 Evaluate (50/(-30)*1)/((-735)/189). 3/7 Calculate (-24)/(-2772)*-7 + 123/396. 1/4 Calculate -17 - ((-31 - -19) + -14). 9 Calculate (225/(-600))/(45/100). -5/6 -30 - (24 - (19 - -14)) -21 What is (6*42/(-54))/(185/(-15) - -9)? 7/5 Calculate (-38)/(-1444)*19*(0 + 12). 6 Evaluate (21 + -10 - 6)/(-1). -5 What is the value of 21/(-6)*32/16 - -1 - -1? -5 Calculate (-3)/((-10)/285*3 - (-102)/(-114)). 3 Calculate 2/((22/(-11))/((-30)/(-5))). -6 What is (-152)/360 + (-9)/(-45)? -2/9 Calculate (-19796)/4116 + 15/3. 4/21 Evaluate (-15)/2 - (-3 - (19 + -15)). -1/2 ((6 - 49 - -11)/6)/(4/6) -8 Calculate ((-10)/25)/(160/4400). -11 What is the value of -12*(-34 + 37)*(-2)/(-8)? -9 Calculate (50/6 + -7)*-2*(-9)/6. 4 What is (1 - 8)/((-308)/264) + -1? 5 What is the value of 1/(-3)*114/304? -1/8 What is the value of -32 + 5*(-646)/(-85)? 6 Evaluate (-1505)/172 + ((-6)/(-8) - 0). -8 What is the value of 186*9/(-324) + 6? 5/6 What is the value of (-2 + (-18)/(-8))*(7 - 12)/(-10)? 1/8 Calculate (-15)/5250*-35 - 3/((-630)/69). 3/7 What is the value of ((((-216)/32)/(-9))/(9/(-2)))/(-4)? 1/24 Calculate 12/(-14)*(-308)/660. 2/5 ((-6)/(-6 - -3))/((15 - 27) + 18) 1/3 Calculate (-19896)/11606*(6 - -1). -12 Calculate -9 - 121/(-1 - 10) - 25. -23 What is ((-4)/8)/(-1)*-22 + 28321/2540? 3/20 What is the value of (-37560)/17215 - 620/(-22)? 26 Calculate (672/(-140) - -4)/(6/10). -4/3 ((2 + -15)/1 - -12)/(5/(-15)) 3 What is (-387)/(-86)*-4*(-2)/(-12)? -3 What is the value of 6 + 1 - 980/112 - -2? 1/4 4*(7 - 760/112)*(-1 - 6) -6 Calculate 63/(-252) - (-17)/4. 4 Calculate 13 - (16 + (-121)/33). 2/3 Calculate (8/18)/((-4490)/4041). -2/5 Calculate ((-4)/24*-18)/(-3) + 10*1. 9 Calculate (-37)/(4736/(-832))*(0 + 2). 13 155 + -176 - (-3 + -1) -17 (-2)/6*(15600/860 - 18) -2/43 What is 0 + (-76)/20 + (-29)/145? -4 Evaluate -2*(-1)/(-7)*(-2331)/(79 - 42). 18 Calculate (1 - (-8)/(-11))*1370/(-10275). -2/55 Evaluate (-14)/4*80808/10878. -26 What is 96/(-1392) + (-104)/174? -2/3 6/147*-7 - 112/(-1078) -2/11 (-11)/((-748)/153) + 7/(-4) + 1 3/2 Calculate (-500)/(-20) + -33 + (-24)/(-1). 16 1036/68 + (-92)/391 15 What is ((-30)/(-25))/(-2) - (-41)/(-15)? -10/3 What is the value of 2/(-15) - 10881/405? -27 ((-3)/(-3))/((-99)/591) + (328 - 322) 1/33 (2165/50 + -43)*4 6/5 Evaluate 30/25*(4/((-48)/51) - -3). -3/2 ((-135)/5400)/((-28)/40) 1/28 510/(-152) - -34*15/4845 -13/4 Calculate 12/(-10)*(-2385)/(-3816). -3/4 Evaluate 180/48*(-62)/155. -3/2 Calculate (3/2)/(264/(-1232)). -7 (-70)/(-6) - (-2544)/(-212) -1/3 90/4*(-1876)/(-2345) 18 ((-1290)/2150)/(-2 + (-66)/(-15)) -1/4 What is the value of ((-7)/(-8) - 15/30)*24? 9 What is the value of 10*126/350 + (-18 - -5) + 5? -22/5 38 - ((-4)/(40/(-15)))/((-45)/(-180)) 32 Evaluate (5*(-120)/350*-7)/(-2*1). -6 Evaluate 324/(-1890)*(3 + (-87)/9). 8/7 5/(-10) + (-1390)/(-220) + -6 -2/11 What is 6 - (5 + 5 - 6) - -8? 10 Calculate ((1152/(-44))/8)/(8/44). -18 What is the value of (-3 - 54/(-21))*(-3 - -2)? 3/7 What is the value of 43/(-86) + (664/16 - 8)? 33 What is (4995/36 + -139)/(1/((-124)/(-5)))? -31/5 Evaluate (0 - -17)*(13 - 632/48)*6. -17 16 - (-9 - (6 + -35)) -4 Evaluate (-12)/5*36/6*35/(-42). 12 What is (13/(-2) + 6)/(6/84)? -7 What is the value of 72/(-80)*3/9? -3/10 2/6*2*1068/9256 1/13 What is (5/3 - 6) + 4/3? -3 Evaluate 5*8/220 + (-3672)/(-374). 10 Evaluate 6/(-10)*(57 + 13390/(-234)). 2/15 Calculate -2*(-11)/88*2 + 1. 3/2 What is -44 + 65 + 0 + -2 + (-1 - 2)? 16 Calculate ((-24)/(-162))/((8/6)/2). 2/9 Calculate ((-2)/10*5)/((2 + 4)/(-6)). 1 Calculate (-2)/(-3) + 4664/924 - 2/(-7). 6 What is (4 - 1) + ((-110)/(-8) - 19)? -9/4 What is the value of 38/6 + -3 + (-29 - (9 - 32))? -8/3 Calculate -10 - (4 + -19) - 96/30. 9/5 What is the value of (4*(-12)/(-84))/((-152)/28)? -2/19 (-12)/70 + (840/98)/15 2/5 What is the value of (1/(-7))/(48/(12768/(-361)))? 2/19 Evaluate 0 + (-4)/38 + 181040/6935. 26 What is ((-18)/15 + -2)*1802/(-3604)? 8/5 What is -3*1/(-42)*2954/1688? 1/8 Evaluate 2 + 90/(-245)*7. -4/7 What is the value of 464/32 + 11 + -24? 3/2 Evaluate (6 + -3)/((-371)/(-53)). 3/7 -2 - -3 - ((-267)/(-356))/(1/24) -17 What is the value of 6/(-16) + 12788/736? 17 Calculate (225/(-30))/(15/(-20)). 10 What is ((-1)/(-3) + 0)*(220 + -222)? -2/3 What is the value of (-17 - -25)*(17 + -9)/64? 1 (-98)/(-147) + 11/15 + -2 -3/5 What is the value of (-1 - -2)/(((-294)/10584)/(2/6))? -12 (-44)/22 - (2/7 + (-3664)/1456) 3/13 Evaluate (((-42)/90)/(42/(-40)))/((-7)/(-9)). 4/7 (-28)/12*(34/(-4) + 27/(-54)) 21 What is 43 - 37/((-999)/(-864))? 11 (-4 - (-411)/105)/(36/40) -2/21 (-16 + 245/15)/(2/(-30)) -5 Calculate ((-22)/4)/(7106/(-2261)). 7/4 What is (2 - -1) + 27/18 + (-221)/50? 2/25 Evaluate (-37 - -4) + -6 - -44. 5 Evaluate 351/(-741)*7/(-21). 3/19 Calculate (2016/(-30))/8 - 16/(-40). -8 What is the value of 4/(-14) - (9 - ((-13538)/(-735) + -9))? 2/15 3/(-6)*(-89)/((-1246)/(-588)) 21 Evaluate (41 + -33)*40/(-480). -2/3 Calculate (3 + 10)*(-54 - -55). 13 What is 265/(-159)*-6*(-8)/(-10)? 8 What is (-14)/(-133) + (-2834)/(-1235)? 12/5 8/28 - (-57408)/(-6006) - 18/(-2) -3/11 15 - (-100)/(-10) - -106*6/(-108) -8/9 What is the value of 42/(-49)*1680/(-144)? 10 What is the value of (-16282)/266 + 32 + 29? -4/19 What is the value of (6 - (-3990)/(-675))*36/24? 2/15 Calculate ((-12)/(-10))/((-17121)/2195). -2/13 Calculate ((-221)/(-26) + (-6)/4)*1. 7 (2/(-5) - (-31)/12) + 844/12660 9/4 Calculate 44/(-7*32/56). -11 What is (-1 - 10 - (-2550)/225)/((-22)/18)? -3/11 10 - (9408/490 + (-8)/(-10)) -10 (1032/1118)/((-2)/(-26)) 12 Evaluate (-56)/(-210)*-65*(-6)/13. 8 Evaluate (2/(-4))/((-205)/6970). 17 What is 265/40 - 4 - (-80)/(-32)? 1/8 ((-9)/(18/8) - -4)/(-2) 0 What is (54/(-135) + (-4)/(-5))/(13/390)? 12 Calculate -30 + 26 + (-88)/16. -19/2 (12/35)/((-17)/85) -12/7 What is the value of 10 + (9 - (-1876)/(-98))? -1/7 Evaluate -7 + (100/24 - -31)*1/5. 1/30 Evaluate (2 + -5)/(-9) - (-11)/198*-10. -2/9 What is the value of (11/(-2))/(2277/7866)? -19 What is (-315)/135*(-30)/42? 5/3 Calculate ((-139)/(-70) - 3/(-42)) + -2. 2/35 What is the value of -13 + 28 + (-164)/4? -26 What is ((-8)/15)/(842/(-6315))? 4 What is -5*4906/23595 - (-16)/(-312)? -12/11 Calculate ((-7)/14*342/9)/(-1). 19 Calculate 10/((-4)/10*(-25)/(-20)). -20 Evaluate (18 - (-424)/(-28))/4. 5/7 What is the value of (13 - (-24)/(-6)) + -32? -23 What is (12/((-3540)/1121))/(1 - (1 + 1))? 19/5 What is (-72)/9 + (-1647)/(-216)? -3/8 ((-1)/(-6))/((5 - 18)/65) -5/6 What is the value of (3477/(-4636))/(9/4)? -1/3 ((-30)/(-70))/((-22)/(-14)) 3/11 Evaluate (0/((-110)/(-11)) + -5)*16/(-35). 16/7 2*((-264)/16 - -18) 3 What is the value of 5 + 3 + (-59 - -54)? 3 What is the value of ((-5)/(-6))/(-5) - ((-437)/138 - 0)? 3 What is (-75)/33 - (-12)/44? -2 Evaluate (5640/168 + -33)*28. 16 176/484*-11*(-26)/(-8) -13 Calculate 2*66/(-36) - 1137/(-315). -2/35 What is (2/5)/(3/21*14/(-20))? -4 Calculate (-240)/68 + 721/206. -1/34 ((2 - 4)/(108/(-15) + 8))/(-2) 5/4 Evaluate 1/(4/40) + 10*(-60)/200. 7 What is (-17 + 946/55)/(18/(-20))? -2/9 Calculate 3 + -7 + (-108)/(-45) + 23/5. 3 What is the value of 336/(-1768) + (0 - -2 - 144/68)? -4/13 What is (-84)/24*120/35? -12 What is -30 - (29 - 17090/290)? -2/29 What is (0 - (-6)/(-4)) + -22*483/(-1012)? 9 What is the value of (-2 + (-30)/(-14))*(40/(-8) + 3)? -2/7 -2*(-2)/(-10)*-15*49/42 7 Evaluate (-3)/(-35)*20/30. 2/35 ((-92)/(-161))/(34/(-7)) -2/17 54/(-28) + ((-70)/4 - -19) -3/7 Calculate ((-12)/(-5))/3 - 6/35*3. 2/7 Calculate (5/115)/((-2432)/(-6992)). 1/8 Evaluate (23/(-12) - (-7)/28)*-9. 15 (-4 - 17) + (55 - (33 + -39)) 40 Calculate 3 + (-666)/234 + ((-99)/390 - 0). -1/10 What is the value of -13 + 405/27 + (-14 - 1)? -13 0*(-3)/21 - 50/(-425) 2/17 ((36/48)/((-6)/((-96)/(-52))))/(-1) 3/13 What is (-212)/159*(-27)/6 + 1*-5? 1 Calculate (-78 - -79)*(-2)/(-1). 2 What is the value of 15/9*(-2268)/(-420)? 9 Evaluate ((-692)/40 - -17)*2/(-78)*5. 1/26 Evaluate (-340)/280 + (-4)/14. -3/2 (23/115)/((-21)/30) -2/7 Evaluate 4 + -87*(-4)/(-72). -5/6 What is the value of 1206/(-72) + 28 + 36/(-16)? 9 Eval
{ "pile_set_name": "DM Mathematics" }
19 - -9/76. What is the second smallest value in g, z, -8? z Let w = 7.93 - -0.07. Let o be -11 + (11297/(-77))/(-13). Which is the third smallest value? (a) -5 (b) o (c) 2/11 (d) w b Suppose 0*g = -m + 3*g - 3, 5*m - 2*g = 11. Suppose 2*h + 19 = -5*r, 3*h + r = 1 + m. Which is the third smallest value? (a) h (b) 0.4 (c) -0.1 (d) -1/2 b Suppose j + 5 + 1 = y, 0 = -5*j - 5*y - 10. Let h = 1.3 + -0.8. Which is the smallest value? (a) j (b) h (c) 3 a Let r = -22.8 + 23.2. Which is the fourth smallest value? (a) 0.5 (b) 0 (c) -0.4 (d) r a Let l = -274/55 + 24/5. What is the third biggest value in l, 5, -4? -4 Let p = 0.877 + -4.877. Let a = 2167/6 - 362. Let q = 51/44 + -10/11. What is the second biggest value in p, q, a? a Let x = 0.7 - -0.3. Let t be 40/25 + 4 + -15 + 9. Let h = 3.5 + 0.5. Which is the biggest value? (a) h (b) t (c) x a Let l = -13.14 - -16.14. What is the smallest value in 1/160, l, 0.2? 1/160 Let v be (-4)/78*(-1 + 3). Let y = v + 17/39. Which is the biggest value? (a) 1 (b) y (c) 5 c Let l = 4/281 + 486/5339. Let i be 7/(-3) + (-12)/18. Let g be 7/i + 14/(-21). Which is the second smallest value? (a) g (b) l (c) -3/4 c Let p be 1 + 35/(-21) + 3 + -1. Let y = -41 - -43. Which is the third biggest value? (a) -10 (b) 2/11 (c) p (d) y b Let n(u) = 29*u - 5. Let z be n(-3). Let k be 0 - -3 - (-311)/z. Let f = 3/23 + k. What is the biggest value in 1/3, f, 1/4? 1/3 Let v(z) = -z - 4. Let i be v(0). Let k be (6 - 75/10)*24/18. Which is the smallest value? (a) -0.2 (b) k (c) i c Let a = 0.37 + 0.03. Let o = 12 - 11.83. Let f = o + 0.03. What is the third smallest value in f, a, -0.1? a Let p = -4.6 - 0.4. Let a = -187 - -187.2. What is the third biggest value in a, 5, p? p Let i = -6.4 + 0.4. Let z = i - -6.55. Let w = z + -0.05. Which is the biggest value? (a) -1 (b) 1/6 (c) w c Let r = 8 + -11.9. Let m = 0.1 - r. Let o = -90 - -90.3. Which is the third smallest value? (a) -4 (b) o (c) m c Suppose 3*q = 4*p - 20, -2*p + 3*q + 8 = q. Suppose 3*j = p*j - 20. Let n be (-2)/(-6) + j/24. What is the biggest value in -6, 2/17, n? n Let m = 0.31 + -0.71. What is the third biggest value in -35, m, -2/11? -35 Let i = -0.2 - -0.1. Let g = 0.078 - -3.222. Let r = g + -3.8. Which is the biggest value? (a) -0.7 (b) i (c) r b Let q = 0.18 + -15.18. Let c = q - -9. Let g = 5 + c. What is the third biggest value in 1/3, g, 2/7? g Let l be 2/8 + 209/(-132). Let i = 2.2 + -0.2. Let x(j) = j**3 - 10*j**2 - 11*j. Let y be x(11). What is the biggest value in y, l, i? i Let n = -5.84 + 6.24. Let h(c) = 2*c**2. Let p be h(1). What is the fourth smallest value in -1/4, n, -4, p? p Let s be (-6)/(-21) + 18714/14. Let r = 4106/3 - s. Let t = r - 31. Which is the biggest value? (a) 0.3 (b) 4 (c) t b Suppose -4*r + 53*f + 2 = 48*f, -4*f = 4*r + 16. Which is the third biggest value? (a) -39 (b) r (c) 5 a Let v = 0.105 - 0.105. Which is the third biggest value? (a) 4 (b) -1/3 (c) v b Let i = 0 - -0.6. Let r = -384 - -383. Which is the third smallest value? (a) 5/4 (b) i (c) r (d) 0.1 b Suppose -2*i + z - 9 = 16, 5*i + 61 = 4*z. Let v = 48/119 + -2/17. Which is the third smallest value? (a) i (b) v (c) -0.4 b Let u = 66 + -58.2. Let p = -0.12 + 8.12. Let c = p - u. What is the second smallest value in 0.4, -2, c? c Let n = -1.91 + -1.09. Which is the third biggest value? (a) -4 (b) 9 (c) -2/11 (d) n d Let i = -203 - -2236/11. Let w = 1091 - 1095. Which is the smallest value? (a) w (b) -1 (c) i a Let h be 2 + 8 + (-304)/30. Which is the second smallest value? (a) 5 (b) -28 (c) h c Let x be -4 - (-136)/20 - 16/20. Which is the fourth biggest value? (a) 0.07 (b) -5/3 (c) -3 (d) x c Let c(k) = 2*k - 7. Let o be c(6). Suppose h - 8 = o*h - 2*z, 2*z = -8. What is the fourth smallest value in h, 3, -1, -0.1? 3 Let z = -0.214 - 114.786. Let l = -111 - z. Which is the third biggest value? (a) l (b) -12 (c) 0 b Let l = -30.1 + 26.1. What is the fourth biggest value in 4, l, 3, -3? l Suppose 9 + 11 = 4*w. Suppose w*h - 2*q - 27 = 0, 6*h - 2*h - 25 = 5*q. Let z = 3.48 - 3.48. Which is the second smallest value? (a) -5 (b) z (c) h b Suppose 0*z - 12 = 4*z. Let n be (42/(-9))/((-2)/(-15)). Let d be (-8)/(-44) + n/(-110). Which is the third smallest value? (a) 3 (b) d (c) z a Suppose 0 = 110*m - 113*m - 6. Which is the third smallest value? (a) 1 (b) -4 (c) 0.011 (d) m c Let o = -23.7 - -16.7. Which is the fourth biggest value? (a) 1/2 (b) -2 (c) o (d) 5 c Let y = 71.841 + 0.159. What is the second smallest value in 0, -4, y? 0 Let n = -1068 + 1067. Let s = -0.1 - 0.1. Which is the fourth smallest value? (a) n (b) s (c) 1 (d) 0.1 c Let q = -25 + 24.6. What is the smallest value in -3/2, q, -0.5, -40? -40 Let g = -0.07 - -0.37. Let m = g + 0.7. Let j = 243/14 + -1243/70. Which is the third smallest value? (a) m (b) j (c) -3/5 a Let g(l) = -2*l - 23. Let z be g(-10). Let x be (3/8)/((-45)/(-30)). Which is the third biggest value? (a) -0.2 (b) 0.1 (c) x (d) z a Let w(g) = g + 9. Let h be (-1)/(-2)*(-10 + -10). Let n be w(h). Let c be (-6)/(-3)*(-1)/5. What is the second biggest value in -3/2, n, c? n Let k = -0.16 + 0.66. What is the biggest value in 0.2, k, 21? 21 Let w = 281/12 - 71/3. Which is the biggest value? (a) w (b) -0.5 (c) -14/3 a Let b = -0.5 - -0.48. Let w = 27 - 26.8. What is the third biggest value in b, w, 0? b Let g = 24 - 23.92. Let n = 0.08 - g. Which is the smallest value? (a) n (b) -3 (c) -2 b Let l = -548/777 + -1/111. What is the second biggest value in l, -4, -0.3? l Let m = -1400 + 1426.32. Let i = 0.32 - m. Let y = 22 + i. Which is the second smallest value? (a) y (b) 1 (c) -0.5 c Let u = 33.75 - 35.881. Let i = 0.031 + u. Let n = i - -1.7. Which is the third biggest value? (a) 2 (b) -3/4 (c) n b Let p = -120 - -116. What is the smallest value in p, 2, 0.5, 11/7? p Let m = -45.5 - -46. Let l = -2.775 + -0.225. What is the smallest value in m, -0.3, 3, l? l Suppose -4*w + 15 = w. Let a be (w - 45/20)/(-2). Let k = -0.01 - 0.39. What is the smallest value in k, -2/13, a? k Let i = 16 + -14. Let j = 4 - 4.1. What is the biggest value in j, -0.2, i? i Let q = -1.4 - -1.95. Let j = -3.55 + q. What is the second biggest value in 1, j, 1/5? 1/5 Let v = -0.076 + -39.924. Which is the third biggest value? (a) -1/3 (b) -3/2 (c) v c Let q = -0.47 - -22.47. Let h = -21.7 + q. Let k = -2 - -3. Which is the second smallest value? (a) -6 (b) k (c) h c Let c = -5.68 + 6. Let i = -9.12 + c. Let b = 9 + i. What is the biggest value in -0.3, b, 5? 5 Suppose 0*i = i + 9. Let w = 23 - 23. Which is the smallest value? (a) i (b) 2/15 (c) w (d) 1/3 a Let f = -0.871 + -5.129. Which is the second smallest value? (a) 1/4 (b) f (c) -1/2 c Let b = -0.63 - -0.9. Let u = 5.27 - b. What is the smallest value in -1, u, 0? -1 Let p be (-2)/14*(70/21 + -4). Which is the fourth biggest value? (a) p (b) 2 (c) -0.3 (d) 0.4 c Let r = 10.06 - 10.26. What is the biggest value in -4/3, 39, r, 0.4? 39 Let q = 6.34 + -6.4. Let x = -0.14 + q. Which is the third smallest value? (a) x (b) 8 (c) -4 b Let z be -3*(-16)/9 - 16/12. Which is the third biggest value? (a) -2/9 (b) -1 (c) 3 (d) z a Let p = 418 + -4600/11. Let j = 10 - 0. Let k = j + -9.9. Which is the third biggest value? (a) p (b) k (c) 6 a Let o = 102 - 100. Suppose 9 = 19*i - 10*i. Which is the third smallest value? (a) i (b) o (c) -6 b Let d = -0.0391 - 0.2609. What is the fourth biggest value in d, 2/13, 2, 0.12? d Let o = 0.3474 + -0.0474. What is the third biggest value in -0.057, o, -0.5? -0.5 Let c = 879 - 882. What is the fourth smallest value in -10, c, -1/9, -2/3? -1/9 Let z be 3 + 0 + (1 - -1). Suppose k + 23 = -5*r, 2*r + 0*k = z*k + 7. Let h = 5 + -5.1. Which is the smallest value? (a) r (b) h (c) 0.3 a Suppose -3*d - 3*l + 9 = 0, 4 - 37 = -5*d + l. What is the second smallest value in -0.03, d, -1? -0.03 Let n = -3.6 - 0.4. Let d = 265 - 1856/7. Let l = 1.42 - 1.02. What is the biggest value in l, d, n? l Let v = 4939 - 4938.9. Let g = 0.3 + 0.2. Let p = 0 - g. Which is the second smallest value? (a) p (b) 3 (c) v c Let v = -215 - -220. Let n(r) = r**2 + 4*r - 5. Let h be n(-5).
{ "pile_set_name": "DM Mathematics" }
+ 1)*(p + 4) Let -59166*i**2 + 1680 - 45*i + 59161*i**2 - 35*i = 0. What is i? -28, 12 Let j(n) = -7*n**2 - 6181*n - 12186. Let o(y) = 60*y**2 + 55605*y + 109675. Let p(g) = 35*j(g) + 4*o(g). Factor p(u). -5*(u - 1219)*(u + 2) Let x(h) be the third derivative of -1/105*h**7 - 7/6*h**4 + 0 + 1/10*h**5 + 1/15*h**6 + 151*h**2 + 8/3*h**3 + 0*h. Factor x(p). -2*(p - 4)*(p - 1)**2*(p + 2) Let v(h) be the first derivative of h**4/8 + 7*h**3/2 - 35*h**2/2 + 24*h + 1333. Suppose v(q) = 0. Calculate q. -24, 1, 2 Let -79*l + 20*l**2 - 53*l + 2408*l**3 - 49 - 2401*l**3 - l**4 - 95 = 0. Calculate l. -4, -1, 6 Let d(b) = 38*b**2 + 360*b + 3254. Let i be 12/(-2*(0 - -1)). Let l(g) = 8*g**2 + 72*g + 651. Let j(v) = i*d(v) + 28*l(v). Solve j(q) = 0 for q. -18 Let m(j) = 2*j**2 + 5*j - 13. Let w(i) = -2*i**2 - 4*i + 14. Let q be (-4)/12 - (8/(-6) + 2). Let r be (-5 + 16/2)*q. Let v(h) = r*w(h) - 4*m(h). Factor v(f). -2*(f - 1)*(f + 5) Let m = 509/4 - 863/4. Let f = m - -1257/14. Factor 3/7*l**2 - f + 6/7*l. 3*(l - 1)*(l + 3)/7 Let b be (4 + 4154/(-1085))*14. Factor -2/5*u**3 + 12/5 + 2/5*u - b*u**2. -2*(u - 1)*(u + 1)*(u + 6)/5 Let k(j) be the first derivative of j**6/1620 - 7*j**5/60 - 16*j**4/27 - 257*j**3/3 - 127. Let a(m) be the third derivative of k(m). What is h in a(h) = 0? -1, 64 Let z be (126/(-2079))/(3/(-11)). Let a(h) be the third derivative of 2/45*h**5 + 5/36*h**4 - 22*h**2 + 0 + z*h**3 + 1/180*h**6 + 0*h. Factor a(x). 2*(x + 1)**2*(x + 2)/3 Let b be (-8)/68 + (-2610)/(-510). Let s(l) be the second derivative of 0*l**2 + 0 + 14*l + 1/21*l**4 - 1/21*l**3 - 1/70*l**b. Factor s(u). -2*u*(u - 1)**2/7 Let 265*i**2 - 976 + 32*i**3 + 78*i**3 + 256 - 5*i**4 - 570*i = 0. Calculate i. -3, -1, 2, 24 Let d(a) be the first derivative of a**6/90 - a**4/18 + a**2/6 + 55*a - 84. Let k(q) be the first derivative of d(q). Factor k(u). (u - 1)**2*(u + 1)**2/3 Let w(g) be the second derivative of -5*g**7/126 - 2*g**6/9 - g**5/12 + 35*g**4/18 + 50*g**3/9 + 20*g**2/3 - 3*g + 13. Solve w(s) = 0 for s. -2, -1, 2 Suppose -34909*r**2 - 952*r**3 + 33209*r**2 - 6*r**5 + 292*r**4 - 242*r - 208*r = 0. What is r? -1, -1/3, 0, 5, 45 Let n = -4702/15 - -2374/5. Solve 88/3*u + n + 4/3*u**2 = 0 for u. -11 Suppose -2*t - 1461 = -3*s - 1456, -4*t = s - 11. Let p(b) be the second derivative of -31*b + 5/2*b**s - 10*b**2 + 0 + 5/12*b**4. What is q in p(q) = 0? -4, 1 Let n(m) = 13*m**4 + 13*m**3 - 114*m**2 + 143*m - 64. Let u(b) = -23*b**4 - 27*b**3 + 226*b**2 - 289*b + 128. Let y(c) = 5*n(c) + 3*u(c). Factor y(j). -4*(j - 2)*(j - 1)**2*(j + 8) Let z(n) be the third derivative of 1/33*n**4 + 0*n + 0 + 86*n**2 - 4/11*n**3 + 1/330*n**5. Factor z(h). 2*(h - 2)*(h + 6)/11 Let m = -33717/20 - -1686. Let b(s) be the second derivative of 0 - 8/5*s**2 - 1/100*s**5 - 11*s - 4/5*s**3 - m*s**4. Let b(i) = 0. What is i? -4, -1 Let m(t) be the third derivative of 47*t + 7/240*t**6 + 0*t**3 + 0*t**4 - 2*t**2 + 0 + 1/10*t**5 + 1/840*t**7. Factor m(n). n**2*(n + 2)*(n + 12)/4 Let g = -64 + 69. Suppose -g*r - r + 72 = 0. Determine i, given that 81*i - r*i**2 - 9*i - 12*i**2 + 2*i**3 = 0. 0, 6 Suppose -10*y + 13*y = -3, -3*k + 5*y + 11 = 0. Let j be 16/15 + 5 + 1 + 580/(-87). What is w in 12/5 - j*w - 2/5*w**k = 0? -3, 2 Let o be 5596/(-6995) - ((-26)/120 - 1). Let g(p) be the first derivative of -23/10*p**5 - 2*p**2 - 28 + o*p**6 - 2/3*p**3 + 15/4*p**4 + 0*p. Solve g(l) = 0. -2/5, 0, 1, 2 Let n(r) be the second derivative of -5*r**4/12 - 235*r**3/6 + 245*r**2 - r + 298. Factor n(d). -5*(d - 2)*(d + 49) Let 698*g + 196*g**2 + 82*g - 255*g**3 + 214*g**2 + 25*g**5 - 44*g**4 - 529 + 169 - 16*g**4 = 0. What is g? -2, 2/5, 3 Let r(k) = -k + 7. Let q be r(5). Factor d**5 + d**3 - 8 - 2*d**4 + 1110*d**q - 2*d**4 - 4*d - 1100*d**2. (d - 2)**3*(d + 1)**2 Let f = -162269 + 162269. Factor f + 2/7*p**2 + 0*p. 2*p**2/7 Let j be ((-10)/35)/(5/(-70)). Suppose n = 5*v + 4, 5*n + 0*n + j*v = 20. Determine q so that 16/7*q**3 + 0 + 0*q + 16/7*q**2 + 4/7*q**n = 0. -2, 0 Let f be 16/(-12)*(-1782)/176 - 9. Let t(g) be the third derivative of -f*g**4 - 1 - 14/15*g**5 + 4/3*g**3 + 3*g**2 + 0*g. Factor t(a). -4*(a + 2)*(14*a - 1) Let l(s) be the second derivative of s**7/504 - s**6/72 + 11*s**4/3 + 60*s. Let i(h) be the third derivative of l(h). Factor i(a). 5*a*(a - 2) Let w be 1*7 - (3 + -45 + 49). Let n(m) be the second derivative of 26*m + 0 + 0*m**2 + 1/30*m**6 + 0*m**3 + w*m**5 - 1/3*m**4. Let n(f) = 0. Calculate f. -2, 0, 2 Let c(g) be the third derivative of 23/140*g**5 + 1/28*g**6 + 1/4*g**4 + 0 + 0*g + 0*g**3 - 126*g**2 + 1/490*g**7. Factor c(y). 3*y*(y + 1)*(y + 2)*(y + 7)/7 Let r(x) be the first derivative of -12/7*x + 9/7*x**2 - 46 - 2/7*x**3. Factor r(g). -6*(g - 2)*(g - 1)/7 Let i(q) be the third derivative of q**6/40 + 115*q**5/2 + 330625*q**4/8 - 2509*q**2. Factor i(y). 3*y*(y + 575)**2 Let b(a) be the first derivative of a**6/9 + 4*a**5/15 - 8*a**4 + 28*a**3 - 27*a**2 - 1772. Suppose b(n) = 0. What is n? -9, 0, 1, 3 Suppose -5540 = -5*l - 5*f, -2*f = -3*l + 2342 + 962. Let m = l + -4389/4. Solve -6 - m*c - 3/4*c**2 = 0. -8, -1 Let v(z) = 24*z + 192. Let y be v(-7). Let w be 378/y*10/7. Find k, given that -39/2*k**2 - w*k**3 - 27/8*k**4 - 24 + 60*k = 0. -4, 2/3 Let o(l) be the third derivative of -5*l**8/336 - 4*l**7/21 - 5*l**6/24 + 7*l**5/6 - 4*l**2 - 210*l - 5. Find y, given that o(y) = 0. -7, -2, 0, 1 Suppose -15*c + 18 + 57 = 0. Factor -3*r**2 - r**3 + 4*r**4 - r**4 - 7*r**5 - 2*r**c + 10*r**5. r**2*(r - 1)*(r + 1)*(r + 3) Let l be 19/5 + (-3 - 96/(-30)). Suppose 2*q = -l*k + 10 - 2, -2*q = 8. Factor 3/5*f**5 + 18/5*f**k + 48/5*f + 3/5*f**3 - 72/5*f**2 + 0. 3*f*(f - 1)**2*(f + 4)**2/5 Let z(m) = -81*m**2 + 2371*m - 1423249. Let d(b) = 97*b**2 - 2368*b + 1423249. Let j(c) = 5*d(c) + 6*z(c). Factor j(g). -(g - 1193)**2 Factor -59*c**2 + 4/3*c**4 + 93*c + 27 + 13/3*c**3. (c - 3)**2*(c + 9)*(4*c + 1)/3 Suppose -8*g = 185 - 225. Let t be (g/(-20) - 70/(-8)) + -4. Determine n so that -15/2*n + 3/2*n**5 - 9/4 - t*n**2 + 27/4*n**4 + 6*n**3 = 0. -3, -1, -1/2, 1 Suppose -38 + 158 = 2*a. Let g = a + -57. Factor 2*x**2 - g*x**3 + 3*x**2 + 2*x**5 - x**2 + x**3 - 4*x**4. 2*x**2*(x - 2)*(x - 1)*(x + 1) Let p(f) = -79 + 43 + 74*f - 1 - 119 + 9*f**2. Let u(h) = -h**2 - h - 1. Let i(c) = -p(c) - 4*u(c). Factor i(q). -5*(q - 2)*(q + 16) Let p be (-46)/(-115) + 20766/110. Let v = -189 + p. What is d in v*d**3 + 0 - 4/11*d**2 + 2/11*d = 0? 0, 1 Let j = 124655/686026 - -7/62366. Find z such that 14/11*z**3 - 14/11*z + 2/11*z**4 - j*z**2 + 0 = 0. -7, -1, 0, 1 Let k = -30 - -43. Let z = k - 11. Factor 3*v**3 + 3*v**4 + 2*v**2 + 5*v**2 - v**z - 6*v**4. -3*v**2*(v - 2)*(v + 1) Let g(i) be the third derivative of i**5/30 - i**4/3 + 53*i**2 - 5. Suppose g(f) = 0. What is f? 0, 4 Let x = 818721277/975210 - -5/195042. Let r = x - 839. Let -r + 16/15*c + 2/3*c**2 = 0. What is c? -2, 2/5 Factor 6*m**2 + 381/2 + 1527/2*m. 3*(m + 127)*(4*m + 1)/2 Factor 31684/9 - 712/9*x + 4/9*x**2. 4*(x - 89)**2/9 Determine q so that 30/7*q**2 - 60/7 + 38/7*q - 6/7*q**3 - 2/7*q**4 = 0. -5, -2, 1, 3 Let u(h) be the second derivative of h**7/28 + h**6/5 - 3*h**5/40 - 2*h**4 - 3*h**3 - 1491*h. Solve u(i) = 0. -3, -2, -1, 0, 2 Let p(d) = 5*d**2 - 21*d + 35. Let f be p(8). Let i be (-102)/f*(2 - (-19)/(-4)). Suppose 0 - b**2 + 0*b - i*b**3 - 1/2*b**4 = 0. Calculate b. -2, -1, 0 Determine p so that 914*p**2 + 512 + 1216*p + 1/2*p**5 + 457/2*p**3 + 19*p**4 = 0. -16, -4, -1 Let s(f) be the first derivative of 5*f**3/3 + 2245*f**2/2 - 9060*f - 4030. Factor s(j). 5*(j - 4)*(j + 453) Let w(o) = -o**3 + 2*o - 1. Let y(f) = f**2 + f - 14. Let x be y(3). Let m(q) = 20*q**3 - 24*q**2 + 4*q + 2. Let h(u) = x*m(u) - 4*w(u). What is s in h(s) = 0? 0, 2/3 Let x(f) be the second derivative of f**7/483 - 4*f**6/345 - 3*f**5/46 + 3*f**4/23 - f + 427. Find l, given that x(l) = 0. -3, 0, 1, 6 Suppose 20*m - 23 = 77. Factor -4635*o + 2*o**m + 6*o**4 + 4635*o + 4*o**3. 2*o**3*(o + 1)*(o + 2) Let v(y) be the third derivative of -y**6/2340 + 2*y**5/195 + 11*y**4/52 - 179*y**3/6 + 245*y**2. Let c(z) be the first derivative of v(z). Factor c(t). -2*(t - 11)*(t + 3)/13 Let j(l) = l**3 + 21*l**2 - 47*l - 20. Let d be j(-23). Suppose -18*r**d - 398*r + 3*r**3 - 50*r**2 + 40 + 378*r
{ "pile_set_name": "DM Mathematics" }
e smallest value? (a) g (b) m (c) 0.2 a Let k = 0.07 - -3.93. Let q = 1 - k. What is the second smallest value in q, -2/19, -6? q Let q = -1777 + 24877/14. Which is the second biggest value? (a) -1/3 (b) q (c) -0.5 (d) -0.4 a Let o = -361.91 + 367. Let q = o + -0.09. Which is the third smallest value? (a) q (b) 0 (c) -5 (d) 4/7 d Suppose -2*g = -3*p - 93 + 108, -6 = -2*g - 4*p. What is the fourth smallest value in 2/9, -1/2, g, 0.6? 0.6 Let u = -170 - -170.3. Which is the third smallest value? (a) u (b) 37 (c) -4 (d) -0.1 a Let g = -0.2 + 0.6. Let u = -223/210 + 11/42. Suppose 4*v - 2*v - 2*z = 0, 3*v - 4*z = -2. Which is the smallest value? (a) v (b) g (c) u c Let r = -618 + 616.7. Which is the second biggest value? (a) 1/9 (b) -5 (c) r (d) 2/7 a Let r = 0.129 + 3.871. Let f = -177/4 + 44. Which is the second biggest value? (a) -7 (b) r (c) 0 (d) f c Let l = 392 + -389. Which is the fourth biggest value? (a) 0 (b) l (c) -5 (d) -2/5 c Let w = 11 + -15. Let t be w/14 - (-372)/(-21). Let q be 3 + -2 + 22/t. Which is the third smallest value? (a) -2/19 (b) -2 (c) q a Let m = -0.1 + 0.8. Let j(i) = i**3 + i**2 + i + 14. Let v be j(0). Let z be 2 - (-2)/v*-15. Which is the third biggest value? (a) 0.4 (b) m (c) z c Let y(q) = -13*q + 342. Let p be y(26). Which is the third smallest value? (a) p (b) -4/3 (c) -1/5 a Let t = 283 + -282.7. What is the second smallest value in -2, t, -1? -1 Let k be 390/24 - 11 - 5. Which is the fourth biggest value? (a) -0.2 (b) k (c) -0.3 (d) 1/87 c Let g = -31.066 + 0.066. Let l = -31 - g. What is the third biggest value in 6, 5, l? l Let z be (564/(-60) - -9)/((-8)/(-5)). What is the smallest value in -1/5, z, -49? -49 Let p = 738.3 + -741. What is the second smallest value in -2/11, -0.1, -1/4, p? -1/4 Let h = 0.2 + -0.3. Let d = 34 - 34.03. Let m = d - -1.03. Which is the smallest value? (a) -2 (b) m (c) h a Let g be 3/(-6) + (-2)/12. Let f = g + 1/2. Suppose -21 - 9 = 10*a. What is the smallest value in 4, f, a? a Let j be (-3)/(((-1)/2)/(120/144)). Which is the third smallest value? (a) 5/3 (b) j (c) -0.3 (d) 0.2 a Let j be 2 + 4/15*-8. Let o = -35 + 19. Let g be o/4*(-1)/((-8)/14). Which is the biggest value? (a) 1/7 (b) j (c) g a Let x be -4*(-7)/(-2 - 5). Let v = -0.39 - 1.61. What is the second smallest value in v, -0.4, x? v Let h be 0/(6/12*-2*2). Which is the second smallest value? (a) -2 (b) 5 (c) h c Let a be (27/(-6))/(-2 + -4). Let x = -5 + 5.43. Let q = 1.43 - x. What is the second biggest value in a, -0.4, q? a Let y = 610717012/4156997 - -3/180739. Let g = y - 147. What is the second smallest value in -4, g, 1? g Suppose 23*v - v - 66 = 0. Which is the smallest value? (a) v (b) 27 (c) 2 c Let w = -8456/87 - 91/29. Let h be (-9)/(2*(-3)/66). Let z = h + w. What is the smallest value in z, 0.8, 0? z Let n = 952 + -956. Which is the biggest value? (a) n (b) 3/7 (c) 450 (d) -0.3 c Let m = -482 + 4336/9. What is the third smallest value in 0, -0.08, m? 0 Let q be ((-1)/5)/((-1)/(-73)). Let g = 15 + q. Let d = -108 + 1834/17. Which is the smallest value? (a) g (b) 0.2 (c) d c Let x = -0.3 + -1.7. Let w = x - -4. Let t = -2881 - -2886. What is the second smallest value in -1/7, w, t? w Let f = 29.2 - 238.2. Let o = -246.2 - f. Let v = o - -37. Which is the third smallest value? (a) 0.05 (b) v (c) 2 c Let o = -2334 - -2335. What is the third smallest value in -5, o, 296? 296 Let g be -3 + ((-57)/(-21))/1. Let h be (-1)/(-2) + (-2905)/(-30). Let z = 99 - h. Which is the biggest value? (a) g (b) 5 (c) z b Suppose 10 = 5*x - 0. Let j be x/(-10) - 2/(-5). Let t = 222 - 224. What is the third biggest value in -5, j, t? -5 Let x = -7.95 + 0.95. Let m = x + 7. Let h = -0.2 + 0.1. What is the third smallest value in 4/7, m, h? 4/7 Let f = 2.145 + -0.145. What is the third biggest value in 9, 6, f, 0.3? f Suppose 0 = 8*s - 11*s. Let l = -742.98 + 752. Let p = 9 - l. Which is the third biggest value? (a) p (b) s (c) 0.5 a Let d = -1078.21 + 1078. Let h(p) = -3*p**3 + p**2 + p - 1. Let r be h(1). What is the smallest value in -0.4, d, r? r Let s(w) = -6*w**2 - 4*w - 5. Let n be s(0). Which is the fourth smallest value? (a) 0.1 (b) -2/109 (c) -1/3 (d) n a Let z = 177.7 - 178. Let o = -61/148 - -6/37. What is the smallest value in o, 1/5, 2/3, z? z Let s = 8 - 8.64. Let x = s + 0.34. Which is the biggest value? (a) x (b) -4 (c) 2 c Let q = -232/819 - 2/819. Let r = -18 + 11. Let s = r - -6.5. What is the second biggest value in 0.1, s, q? q Let a = -17.2 + 19. Let c = -2.04 + a. Let s = c + 2.24. What is the smallest value in 0.1, 10, s? 0.1 Suppose 75 = -2*l + 79, -4*v + l = -18. What is the smallest value in 0.4, 2/9, v? 2/9 Let k = 0.55 + -0.3. Let u = k + -0.2. Let m = -35527/4 - -8881. Which is the second smallest value? (a) u (b) 2/7 (c) m a Let s = 34 + -21. Let b be s/(-65) - (-1071)/5. Let a = b - 2784/13. What is the third smallest value in -2/9, a, -3/2? a Suppose 5*z - y - 17 = 0, 2*y - 5 = -5*z + 6. Which is the second smallest value? (a) z (b) 1/6 (c) -59/2 b Let k be (-1)/(8/24 - -1). Which is the second biggest value? (a) -4 (b) k (c) -3/8 (d) 5/4 c Let o = -107 - -105.79. Let u = 1.11 + o. What is the biggest value in -2, u, 6/11? 6/11 Let j = -2/153 - 137/1224. Let q = 1 - 0.5. Let n(u) = u - 14. Let r be n(14). Which is the smallest value? (a) q (b) j (c) r b Suppose -3*t + 10 = 2*t. Let v be ((-8)/96)/(1/2). Let o = 1.1 - 1. Which is the second biggest value? (a) o (b) t (c) v a Let p = -33 + 32. Let l = -3 - p. What is the third smallest value in l, 3/4, 0.1? 3/4 Let w = -183 + 1278/7. Which is the third smallest value? (a) w (b) 0.1 (c) -0.5 (d) 5 b Let p = 4.94 - 1.94. Which is the third biggest value? (a) 461 (b) p (c) -0.4 c Let j = 185.3 - 183.3. Let f be (-4)/(-15) - (-2)/(-3). What is the third biggest value in -3, j, -2, f? -2 Let b = -17.37 - -17.07. What is the biggest value in b, -0.5, -1/19? -1/19 Let y = -41.2 + -0.8. Let k = y - -38. Which is the biggest value? (a) 0 (b) -0.3 (c) k a Let n = -250 - -254. What is the second biggest value in n, -8/3, 0.1, -0.3? 0.1 Let d(t) = -12*t + 56. Suppose -45 = 2*u - 11*u. Let v be d(u). Which is the smallest value? (a) -6 (b) 3 (c) v a Let c = 13.65 + -13.5. Let l = -0.25 + c. Let i = -0.05 - -0.45. What is the smallest value in i, -2, l? -2 Let r = -2.48 + -0.52. Let p = 1.77 - 1.37. Which is the third biggest value? (a) -1/3 (b) r (c) 4 (d) p a Let i(s) = -s + 6. Let y be i(3). Suppose 0 = y*g + 2*g - 90. Let t = g - 39/2. What is the second biggest value in 3/7, 2/5, t? 2/5 Let j = 0.1 + 0. Let m = -723 + 721. What is the second biggest value in m, j, 1/3? j Let k = -0.0025 + 0.0005. What is the second biggest value in -4, k, -0.4? -0.4 Let l = -0.1 - 3. Let j = l + 2.6. Which is the second biggest value? (a) 0.1 (b) j (c) -4 b Let o = 45.293 - -0.207. Let c = -36 + o. Let i = -10 + c. What is the second smallest value in 0.1, i, 2? 0.1 Let o be (1/7)/(1 + 102/(-42)). Let n = -9 + 4. Which is the smallest value? (a) o (b) n (c) -1/6 b Let f = 7/2 + -25/6. Let h be -10 + 8 + (-16)/(-10). Let t = h + -11/10. What is the smallest value in f, 0.4, t? t Let z = 2817 - 2816.6. Let j = 0 + 0. Let h = j - 4. Which is the smallest value? (a) z (b) h (c) 1 b Let s = 0.551 - 0.511. Which is the third smallest value? (a) 1 (b) s (c) -2/13 (d) 7 a Let m be ((15/14)/5)/((-90)/40). What is the second smallest value in 1/3, 0.5, 0.06, m? 0.06 Let g = 24 - 143/6. Let y = -1394.4 - -1395. What is the third smallest value in -0.4, -5, g, y? g Let v = -17.6 + 3.6. Let p = 18.04 + -2.04. Let d = p + v. What is the third smallest value in -2, -5, d? d Let p = 3.54 - -0.46. Let m = 4.7 - 4. Let i = -4.7 + m. What is the biggest value in p, i, 3? p Let w be 2/2*-4*(-24)/(-528). What is the third biggest value in -8, -3, 2/9, w? -3 Let o = -20.8 - -22. Which is the biggest value? (a) o (b) 6 (c) 0.4 b Let f = 30 - 60. Let r be (-2)/(-10) + 46/f. Let i(m) = -5*m - 24. Let u be i(-5). Which is the third smallest value? (a) 0.2 (b) r (c) u c Let q = 19 - 20. Let o = -623 + 622.8. What is the second smallest value in -3, q, o, 2? q Le
{ "pile_set_name": "DM Mathematics" }
m be 2/(2 + -4) + 2. Suppose -m = 6*p - 73. Solve -3*h + p = -6*h for h. -4 Let t(l) = -31*l - 7. Let w be t(-1). Suppose 25*b - w*b - 5 = 0. Suppose 2*s + 6 = 0, -5*y + 37 = -y - 3*s. Solve y = -b*r + 32 for r. 5 Suppose -3 = b - 7. Let x(o) = -13*o + 821. Let v be x(63). Solve v*a - b = a for a. 4 Let k = 120 - 122. Let q be (11 + k)*3/9. Solve 7 = x + q for x. 4 Let q = 780 - 776. Solve 12 = q*a - 0*a for a. 3 Suppose -3*w + 2*v + 5 - 3 = 0, w + 18 = -4*v. Let o be 5 + (-3 - (1 + w)). Let u = o + -3. Solve 3*r + u + 3 = 0 for r. -1 Let q = -204 + 220. Solve 66*c - 62*c = q for c. 4 Let l = 6 + -1. Suppose -2*d + 100 = 4*w + w, 4*d = -5*w + 100. Solve -5*y = -l - w for y. 5 Let o be ((-18)/(-5))/(12/(-520)). Let y be 6*(-3 - o/9). Suppose -y = -3*r - 26. Solve 4*j = 8*j - r for j. 5 Let i(d) be the second derivative of 0 + 2*d - 3/2*d**3 + 13/2*d**2 - 11/12*d**4 - 1/20*d**5. Let n be i(-10). Solve -n = q + 1 for q. -4 Let t = 8 - 6. Let g be ((-6)/(-10) - (-24)/(-15))*-1. Solve t*f = -3 - g for f. -2 Suppose 2*v - 6*v = 120. Let z = v + 35. Solve -2*j + z = 3*j for j. 1 Suppose 4*y + 5*g + 32 = -0*g, -4*y = -3*g. Let f be y/(-21) + (-20)/(-7). Suppose -5*h + 0 = -f*r - 4, -2*h + r + 2 = 0. Solve -n = h*n for n. 0 Suppose -3*w + j - 2*j + 29 = 0, w - 8 = -2*j. Suppose -2*p + 719 - 659 = 0. Solve p - w = -4*k for k. -5 Let u(x) = 2*x - 12. Let z be u(-11). Let j = -34 - z. Solve j = -4*p - 4 for p. -1 Let v be (2 - -9) + 18/(-3). Solve -1 = 3*y + v for y. -2 Let t = -21 - -41. Let i = t - 16. Suppose -12 = -4*a, -3*q + 3*a - 3 = -2*a. Solve q*w - i = 6*w for w. -2 Let j(u) = u**3 - 14*u**2 - 14*u + 20. Let c be j(15). Let a = 50 - c. Suppose 6*f - f - a = 5*b, 0 = 3*f - 12. Solve 3*l - 5 = b for l. 2 Suppose 25*t = 3*t. Solve 36 = -9*s - t for s. -4 Let x(a) = -12*a**3 - a. Let d be x(1). Let k = 15 + d. Solve 2*q - k = q for q. 2 Let x = 1 - 1. Suppose 15*z = 12*z + 3. Let f be (4 + -4)*(z/2)/(-1). Solve 3*b + f*b - 15 = x for b. 5 Let t(v) = -2*v**2 + 7*v - 5. Let d be t(3). Let p be 4/(-6)*-2 - d/3. Solve -p*x = -x + 1 for x. -1 Let f(q) = q**2 + q + 4. Let p be f(0). Suppose i - 132 = -4*z, -5*z - p*i + 162 = -2*i. Let t be (z/(-3))/((-2)/6). Solve -9 = -5*k - t for k. -5 Suppose -3*k + 24 = -0*k. Let p(f) = -4*f + 17. Let v be p(k). Let w be (5/v)/((-2)/18). Solve 2*c = 3*c + w for c. -3 Suppose 0 = 15*v - 14*v - 2. Solve 3*t + v*t = 0 for t. 0 Suppose -14 = 19*i - 71. Solve 9 = i*l - 0 for l. 3 Suppose 3*w = 3*u + u - 21, 5*u + 5*w = 0. Suppose -4*d = -2*v + v - 2, -3*v + 3 = -u*d. Solve 4*f + v = 22 for f. 5 Let d = -1907 + 1910. Solve d*i = 31*i + 112 for i. -4 Let d = -152 - -152. Solve -7*y - 6*y + 52 = d for y. 4 Suppose -2*b + 4*b - 108 = o, 3*b = 3*o + 165. Let r = -44 + b. Solve -4*d + r = 1 for d. 2 Let g = -644 + 644. Solve -10*i - 17 - 13 = g for i. -3 Suppose -152*n - 36 = -161*n. Solve c = n*c + 12 for c. -4 Let y = -2 + 18. Suppose -y = -4*n + f, 5*f + 20 = 5*n - 0*n. Suppose -3*z - 8*z = -33. Solve z*r = n*r - 2 for r. 2 Suppose -5*v = -5*l + 25, 4*l = 5*v + 12 + 13. Solve l = -2*k - 6 + 2 for k. -2 Let s = -270 + 274. Solve -s*r + 6*r = -6 for r. -3 Let k = -65 + 97. Let q = 36 - k. Solve -q*d = 6 + 10 for d. -4 Let r(y) = -4*y**3 - 3*y**2 + 1. Let u be r(-1). Solve u*o = 3 - 1 for o. 1 Let s = 245 + -241. Solve 2 = -s*k - 2 for k. -1 Let q = -2373 + 2378. Solve 0 = q*l - 2 + 7 for l. -1 Let b(f) = -f**2 - 5*f + 2. Let q be b(-4). Suppose -27 = -5*s - 2*p + 42, q = -2*p. Solve l - s = -2*l for l. 5 Let y = 45 + -33. Solve 35*o - y = 31*o for o. 3 Suppose 4*k + 3*q = 21, 10*k - 6*k - 3*q - 3 = 0. Solve -k*j = j - 16 for j. 4 Let h(o) = o**3 - 13*o**2 + 20*o + 27. Let l be h(11). Suppose 15*c - l*c - 20 = 0. Solve 0 = u - c*u - 2 for u. -2 Suppose 4*l + 3 = 5*l. Let c = 63 - 60. Solve -c = -2*x + l for x. 3 Let q be -1 + 5/((-20)/(-24)). Solve g = q*g + 4 for g. -1 Let s be ((-1)/((-10)/8))/((-32)/(-80)). Suppose -6 = s*y, -3*w - 2*y + 9 = -5*y. Solve w = -4*n + 4 + 16 for n. 5 Let c = 314 - 276. Solve c = -13*x - 27 for x. -5 Let f be -58 - (5 + -2 - -1). Let y = f - -64. Solve 3*t + y = t for t. -1 Suppose -3*h - 93 = -5*w, -23 + 7 = -4*h. Solve 20*n - w*n = 3 for n. -3 Suppose 4*p - 17 = 5*x, 20 = -0*p + 5*p - 5*x. Let s(y) = 5*y - p*y - 6*y. Let h be s(-1). Solve 0 = 4*a + 8 + h for a. -3 Let y(w) = -2*w**3 - 59*w**2 + 23*w - 183. Let a be y(-30). Suppose -13 = 3*c + 53. Let x = a + c. Solve 0 = -3*q + x*q for q. 0 Let i(u) = -u**2 + 4*u. Let o be i(3). Let y = o + 0. Suppose 0 = 4*h - 49*h. Solve h = y*v - v for v. 0 Let r = 26 - 7. Let n be r/7 + (-2)/(-7). Solve n = -4*s - 1 for s. -1 Let p be (-22)/(-4) - (-9 + (-126)/(-12)). Solve 3*n - p*n + 3 = 0 for n. 3 Let y = -513 + 523. Solve 69*u + y = 71*u for u. 5 Let u(l) = l**3 + 6*l**2 - 17*l - 2. Let f be u(-8). Let n be (-37)/(-3) + f/(-18). Solve -3*d = 3 - n for d. 3 Let w be (2 + -4)/((-1)/2). Let h = 0 + w. Let i be (2/6)/((-36)/(-108)). Solve -f + i - h = 0 for f. -3 Let f = -635 - -635. Solve -9*h + 10*h - 1 = f for h. 1 Let k be 3/((-12)/88) - -1*2. Suppose 4*t + t = 120. Let s = k + t. Solve 0*x - s = 2*x for x. -2 Let z = 244 + -240. Solve -z*q - 1 = 11 for q. -3 Let g = 0 + 3. Let q(l) = l**3 - 9*l**2. Let p be q(9). Suppose -g*a = -p*a. Solve a*s - s - 5 = 0 for s. -5 Let y be 3/(-6) - 17/(-2). Let v(t) = t**2 - 8*t + 9. Let u be v(1). Suppose u*k + y = 4*k. Solve -4 = -4*g + k for g. 2 Suppose l - 2*a + 6 = -4*a, a - 4 = -4*l. Let p = 0 + 2. Suppose 5*j = -w - 1, -4*j - w - 1 = -p*j. Solve -i + l - 1 = j for i. 1 Let a(p) be the first derivative of -p**2/2 + 5*p - 1. Suppose 2*w - w - 5 = 0. Let v be a(w). Solve v*x = -3*x + 3 for x. 1 Let p(a) = -a**3 + 4*a**2 - a + 2. Let c be p(4). Let l = 16 + c. Solve -4*m - 6 = l for m. -5 Suppose -12 = 8*q - 44. Suppose -5*c + q*d + 36 = 0, -5*c = 3*d + 2*d. Solve c = -2*k - 0 for k. -2 Let u be ((-24)/(-14))/(0 - (-3)/21). Let f = u + -8. Solve f*x - 11 = 1 for x. 3 Let t(y) = 2*y**2 - 15*y - 23. Let d be t(9). Let f = -7 - -17. Solve -d = -2*a - f for a. -3 Suppose 28*k - 288 = -4*k. Solve -4 + k = 5*p for p. 1 Let k(r) = 3*r - 8. Suppose 2*z = z - o, 0 = 3*o + 12. Let s be k(z). Solve f - s = -3 for f. 1 Let o(b) = -b**3 + 2*b**2 + 9*b + 6. Let k be o(-1). Let h = 20 + -14. Solve -3*z - h - 6 = k for z. -4 Let p(h) = 5*h**2 - 3*h + 6. Let l be p(2). Let o = 28 - l. Solve 2*m + o = 2 for m. -3 Suppose -5*h = -53 - 122. Let i = -17 + h. Suppose 2*x - 24 + i = 0. Solve -x*g + 0*g = -12 for g. 4 Suppose -g - 20 = -4*p - 2, 5*p - 2*g - 21 = 0. Suppose -p*y = 45 - 75. Solve -y = -l - 2 for l. 4 Let w(i) = 3*i - 47. Let h(l) = l**3 + 11*l**2 + 15*l - 2. Let o be h(-9). Let m be w(o). Let b(s) = -4*s - 3. Let v be b(-2). Solve 3 - m = v*n for n. -5 Suppose 0 = -4*y - 5*j - 63, -2*y = 2*j + 3*j + 39. Let c = y - -12. Suppose -5*a + 15 = 0, -3*l - 4*a + 24 = -c*a. Solve l*t - 4 = -0*t for t. 1 Let o(m) = -m**3 - 2*m**2 + 5*m + 11. Let g be o(-3). Solve b - 8 = -g for b. 3 Suppose -3*o - 22 = 2*t, t = 2 - 4. Let s(q) = q**3 + 7*q**2 + 4*q - 7. Let a be s(o). Suppose -n - a*z + 9 = 0, -4*n + 7 = -3*z - 6. Solve 3*m = n*m for m. 0 Suppose 21*j - 17*j - 3 = k, 5*k + 15 = j. Solve j*p = 4*p for p. 0 Let p(d) = d**2 - 2*d. Let j(w) = 4*w**2 + 4*w + 3. Let t be j(-1). Let z be p(t). Suppose -1 = 4*l + 2*u + 9, -2*u = -3*l + 10. Solve l + 3 = z*m for m. 1 Let d be (-4)/(-22) + 124/44. Suppose 0*c - c + 8 = -d*m, 5*c = 3*m + 28. Solve -c*p + 17 = -3 for p. 4 Let m = 21 + 0. Let l = m - 13. Let z = 39 + -22. Solve 0 = 5*f - l - z for f. 5 Suppose 0 = 3*f - 22 - 14. Let n = f + -7. Suppose -n*j + 15 + 10 = 0. Solve -j*l = -0*l for l. 0 Let g = -16 + 14. Let i be (g - 4/(-2))/(-10 - -9). Solve 8*u - 5*u = i for u. 0 Let h(r) = -r**3 + r**2 + 2. Let x be h(0). Suppose 3*i - 44 = -i. Suppose 0 = -0*o - o + i. Solve 0 = x*b - 5 + o for b. -3 Suppose 5*f = -n + 5, 3*n + 5 = -5*f - 0*n. Let k = -79 - -85. Let w be k/24 + (15/(-12) - -1). Solve w = -u - f - 3 for u. -5 Let m(u) = u**2 + 11*u + 28. Let k be m(-7). Suppose k = 4*y + 2*p - 6, p = 3*y - 7*y + 11. Solve -4 + 0 = -y*d for d. 1 Let h be 108/(-8)*(-16)/(-6). Let z = 40 + h. Solve z*c - 8*c = -4 for c. 1 Let h be ((-12)/36)/((-2)/30). Solve -11*p + h = -12*p for p. -5 Let y(r
{ "pile_set_name": "DM Mathematics" }
+ 2*i + 2 Let q(n) = -6 + 2 + 1 + 2. Let v(l) = 2*l + 7. Suppose 5*c - 4*f + 17 = 0, -3*c - 3*f = -6*c - 12. What is c*v(y) - 6*q(y)? -2*y - 1 Let n(s) = 989*s**3 - 115*s + 115. Let f(h) = 26*h**3 - 3*h + 3. What is -115*f(z) + 3*n(z)? -23*z**3 Let r(g) = -7*g**2 - 9*g - 22. Let p(f) = 4*f**2 + 5*f + 11. What is 5*p(s) + 3*r(s)? -s**2 - 2*s - 11 Let z(j) = j**2 + 1. Suppose o + 0 + 1 = 0. Let q(w) be the second derivative of 5*w**4/12 + w**2 - 30*w. What is o*q(b) + 2*z(b)? -3*b**2 Let k(a) = -a**2 + a - 5. Let z(o) be the first derivative of -o**3/3 + o**2/2 - 6*o + 2. Suppose 18 = -j - 3*j + 2*n, -2*j - 3*n = 21. Give j*z(x) + 7*k(x). -x**2 + x + 1 Let q(y) = 2*y**2 + 2*y - 4. Let p be (-2)/(-3) - (-44)/6. Let m(b) = -5*b**2 - 6*b + 11. Give p*q(z) + 3*m(z). z**2 - 2*z + 1 Let p(v) be the first derivative of 0*v + 7/2*v**2 - 1 - 1/3*v**3. Let x(d) = 2*d**2 - 13*d. What is 11*p(m) + 6*x(m)? m**2 - m Let m(g) = -12*g**2 - 4*g + 4. Let u(h) = -24*h**2 - 9*h + 9. Give 9*m(x) - 4*u(x). -12*x**2 Let w(y) = 0*y**3 - 13*y**2 + 7 + 3*y**3 - 2*y**3 + 3*y**3. Let p(j) = 2*j**3 - 6*j**2 + 3. Let k be 0 + -1*(1 + 8). What is k*p(v) + 4*w(v)? -2*v**3 + 2*v**2 + 1 Let k(n) = 1. Let d be (2/(-4) + 1)*0. Let j be d - (0 + 0) - -6. Suppose -6*s + s + 5 = 0. Let b(g) = -g - 8. Calculate j*k(z) + s*b(z). -z - 2 Let h(m) = -59*m**2 + 17*m - 23. Let c(s) = -10*s**2 + 3*s - 4. Calculate 34*c(o) - 6*h(o). 14*o**2 + 2 Let j(n) = -15*n**3 - 21*n**2 + 16. Let r(w) = 2*w - 4. Let d be r(3). Let t(m) = -3*m**3 - 4*m**2 + 3. Calculate d*j(g) - 11*t(g). 3*g**3 + 2*g**2 - 1 Let j(s) = -3*s**3 + 4*s**2 - 4. Let w(x) = -x**3 + 2*x**3 + 54*x**2 - 53*x**2 - 1 - 2*x**3. Calculate j(p) - 4*w(p). p**3 Let g(b) = 2*b**3 + 6*b**2 + 6. Let p(u) = -u**3 + u**2 + 1. Give g(v) - 6*p(v). 8*v**3 Let l(n) = 3*n**3 + n**2 - 11*n. Let p(x) = x**3 + x**2. What is -l(d) + p(d)? -2*d**3 + 11*d Let u = 35 + -32. Let g(b) = 4*b**2 - 7*b + 4. Let o(j) = 2*j**2 - 4*j + 2. Determine u*g(c) - 5*o(c). 2*c**2 - c + 2 Suppose -5*q + 0*q + 23 = 2*s, q = 5*s - 17. Let k(y) = -4*y**3 + 3*y + 3*y**2 + 5*y**3 + 3*y**3. Let f(p) = 3*p**3 + 2*p**2 + 2*p. Give q*f(r) - 2*k(r). r**3 Let a(j) = 3*j**3 - 4*j**2 + 2*j - 2. Let o(z) = -4*z**3 + 5*z**2 - 3*z + 3. What is 5*a(m) + 4*o(m)? -m**3 - 2*m + 2 Let v(s) = 22*s**2 + 12*s. Let q(u) = u**2 + u. Determine -12*q(f) + v(f). 10*f**2 Let q = 17 - 11. Let j(p) = -p**3 + p - 1. Let y(o) = -4*o**3 + 4*o - 1 - 4 + 3. Calculate q*j(a) - 2*y(a). 2*a**3 - 2*a - 2 Let s(x) = -15*x**2 + 5*x. Let o(r) = -31*r**2 + 11*r. Give 4*o(v) - 9*s(v). 11*v**2 - v Let v(u) = -u. Let p(l) = -51*l**2 + 3*l + 1. Determine -p(q) - 3*v(q). 51*q**2 - 1 Let h(c) be the first derivative of c**2 + 29. Let b(o) = o - 1. Give -b(d) + h(d). d + 1 Suppose 0 = 2*o - o + v + 1, -o - 21 = -3*v. Let p(r) = 14*r**2 + 77*r + 77. Let a(b) = b**2 + 6*b + 6. Determine o*p(t) + 77*a(t). -7*t**2 Let m(k) = 3*k**2 + 2*k - 2. Let l(x) = -1. Let t(u) = -3*l(u) + m(u). Let p(o) = -o**2. What is 4*p(r) + t(r)? -r**2 + 2*r + 1 Let c(a) = 3*a**3 - a**2 - 4*a. Let z(s) = 5*s**2 - 7*s**3 - 11*s**3 - 13*s + 34*s + 2*s**3. Determine -11*c(f) - 2*z(f). -f**3 + f**2 + 2*f Let q(m) = m**2. Let k(f) = f**2 + 9*f + 1. What is -k(y) + 2*q(y)? y**2 - 9*y - 1 Let b(u) = -u**3 - 1. Let c(m) = 4*m**3 - 2*m**2 + 5*m + 2. Determine 2*b(g) + c(g). 2*g**3 - 2*g**2 + 5*g Let w(n) = -2*n - 2. Let a(d) = 20 - 5 + 5*d - 10. What is -6*a(m) - 14*w(m)? -2*m - 2 Let y(s) = s - 1. Let l(u) = 3. Calculate l(n) - 2*y(n). -2*n + 5 Let d(b) = -b. Let i(j) = 3*j - 8. Let f(r) = -10*d(r) - 2*i(r). Let p(y) = y + 5. Let x(u) = -u**2 + u + 2. Let n be x(4). Determine n*p(w) + 3*f(w). 2*w - 2 Let q(o) = o - 1. Let x(n) = -4*n + 8. Suppose 1 = 5*z - 4*z. Give z*x(v) + 6*q(v). 2*v + 2 Let j(x) = x**2 - 4. Let y = -1 + 5. Let r(z) be the third derivative of 0*z + 0 + z**2 - 1/60*z**5 + 0*z**4 + 5/6*z**3. Calculate y*r(b) + 5*j(b). b**2 Let m(o) = o + 1 + o**3 - 2 + 2*o - 4*o. Let g(v) = -5*v**3 + 3*v + 4. What is -g(k) - 4*m(k)? k**3 + k Let q(m) = -2109*m**3 - 407*m**2 + 407*m - 407. Let u(n) = -31*n**3 - 6*n**2 + 6*n - 6. What is 6*q(t) - 407*u(t)? -37*t**3 Suppose 8*l - 31 = -23. Let p(v) = -8*v + 12. Let i(s) = -s + 1. Determine l*p(j) - 12*i(j). 4*j Let o(g) = -3*g**2 - 4*g + 6. Let c(i) = -5*i + 4. Let w(v) = v**2 - 26*v + 20. Let y(u) = 11*c(u) - 2*w(u). Calculate -5*o(b) + 7*y(b). b**2 - b - 2 Let k(r) = -r. Let z(q) = -5. Let a(c) = 1. Let i = -3 + 9. Let u(d) = i*a(d) + z(d). Calculate k(n) + 2*u(n). -n + 2 Let w(c) = 11*c**2 - 3. Let g(b) = -1. What is -3*g(q) + w(q)? 11*q**2 Let u(s) = -17*s**3 + 11*s**2 + 14*s - 8. Let v(k) = 6*k**3 - 4*k**2 - 5*k + 3. Suppose -5*p = -p - 92. Suppose -5*l = p - 3. Determine l*u(q) - 11*v(q). 2*q**3 - q - 1 Let y(u) = -3*u. Let w(q) = q. Suppose -4*d - 32 = 12. Let k = 6 + d. Let r be (2/4)/((-2)/4). Give k*w(z) + r*y(z). -2*z Let s = -1 + -5. Let k(q) = -8*q**2 - 5*q - 4. Let c(t) = -1 + 0 - t - 3*t**2 + 2*t**2. Determine s*c(x) + k(x). -2*x**2 + x + 2 Suppose -b - 2*b - 4 = l, 3*b + 34 = 5*l. Let d(x) = -2*x - 3. Let w(i) = 5*i + 5. Calculate b*w(k) - 7*d(k). -k + 6 Let f(z) = 4*z**3 - 4*z**2 - 5*z - 3. Let q(o) = 8*o**3 - 7*o**2 - 9*o - 5. What is 7*f(j) - 4*q(j)? -4*j**3 + j - 1 Let f(h) = -8*h**2 - 5*h - 8. Let b(c) = 23*c**2 + 14*c + 23. What is -6*b(r) - 17*f(r)? -2*r**2 + r - 2 Suppose -5*b + 2*o - 16 = 0, 3*o - 20 = 3*b - 5. Let l(m) = -2. Let y(j) = -j + 4 + 1 - 6 - 3. Give b*y(p) + 5*l(p). 2*p - 2 Suppose 0 = -5*f + 3*m + 23, -2*f = -3*f - 3*m + 1. Let h(i) = 3*i - 3. Let a(c) = 3*c - 4. Give f*h(w) - 3*a(w). 3*w Let r(p) = p + 10*p - 8 - 10*p. Let q(s) = s - 7. Calculate 6*q(v) - 5*r(v). v - 2 Let o(c) = -6*c**2 + 1. Let g(f) = -7*f**2 + 1. Calculate -4*g(h) + 5*o(h). -2*h**2 + 1 Let h(d) = 2*d**2 - 3*d + 1. Let q(y) = -8*y**2 + 13*y - 5. Determine 9*h(f) + 2*q(f). 2*f**2 - f - 1 Let o be (8 - 11) + 5 + 1 + -7. Let y(z) = 80*z + 35. Let c(m) = 9*m + 4. Determine o*y(w) + 35*c(w). -5*w Let b(q) = -131*q**2 + 5. Let w(y) = -459*y**2 + 18. Calculate -18*b(x) + 5*w(x). 63*x**2 Let o(d) be the third derivative of d**4/12 - d**3 + 13*d**2. Let z(y) = -2*y + 7. Let l = 15 + -11. Give l*z(g) + 5*o(g). 2*g - 2 Let v(n) = -n**2 - n. Let p(o) = o**2 + 2*o. Let y(k) = k**2 + 12*k + 2. Let q be y(-12). What is q*v(l) + p(l)? -l**2 Let p = 183 + -182. Let h(r) = -4*r - 2 + 2*r + 0. Let u(b) = b + 1. Calculate p*h(k) + 3*u(k). k + 1 Let c(k) = 3*k + 5. Let x = 9 + 0. Suppose 4*m = 7 + x. Let o = 15 - 4. Let l(i) = -i - 2. What is m*c(g) + o*l(g)? g - 2 Let y(s) = 47*s + 3. Let z(m) = -31*m - 2. Give -5*y(n) - 8*z(n). 13*n + 1 Let d(y) = 39*y**2 - 13. Let o(i) = 10*i**2 - 3. Determine 3*d(t) - 13*o(t). -13*t**2 Let u(d) = -3*d + 7. Let m be u(-5). Let t = 1 + 1. Suppose g - 8 = -t. Let k(z) = 2*z**3 - 3*z**2. Let i(q) = -7*q**3 + 11*q**2. Calculate g*i(c) + m*k(c). 2*c**3 Let o(v) = -5*v**2 + 6*v - 5. Let n(c) = 5*c**2 - 5*c + 4. Give -5*n(y) - 4*o(y). -5*y**2 + y Let d(w) = -6*w**3 - 4*w**2 - 4*w. Let c(m) = 7*m**3 + 3*m**2 + 3*m. What is -4*c(o) - 3*d(o)? -10*o**3 Let y(z) = 2*z**2 - 8*z - 4. Let p(a) = -a + 5. Let d(t) = -t + 6. Let m(r) = 6*d(r) - 7*p(r). Determine -6*m(x) - y(x). -2*x**2 + 2*x - 2 Let o(b) = -7*b**3 + 3*b**3 - 4*b**3 + 6*b - 4. Let r(i) = 17*i**3 - 13*i + 9. What is 13*o(x) + 6*r(x)? -2*x**3 + 2 Let m(a) = -7*a**2 - 2*a + 5. Let x(w) = 20*w**2 + 6*w - 15. Determine -17*m(v) - 6*x(v). -v**2 - 2*v + 5 Let f(t) = t**3 - 2*t**2 - 5*t - 5. Let j(r) = r**2 + 2*r + 2. Suppose -k + 0 = 5. Determine k*j(z) - 2*f(z). -2*z**3 - z**2 Let u(g) = 6*g + 14. Let y(n) = 4*n + 9. Calculate -5*u(k) + 8*y(k). 2*k + 2 Let c(t) = -4*t**3 - 2*t**2 - 2. Let z(m) = -4*m**3 - 3*m**2 - 3. What is 6*c(i) - 4*z(i)? -8*i**3 Let f = -5 + 4. Let n be (-17)/(-2) - f/(-2). Suppose 3*k + k = n. Let b(g) = -g - 2. Let i(m) = 1. Determine k*b(p) + 3*i(p). -2*p - 1 Let b(m) = 6*m**2 - 7*m - 4. Let d(t) be the third derivative of 0 - 3*t**2 - 1/12*t**4 - 1/6*t**3 + 1/30*t**5 + 0*t. Determine -2*b(n) + 7*d(n). 2*n**2 + 1 Let q(x) = -113*x**2 + 5. Let c(y) = 4860*y**2 - 216. Determine 5*c(z) + 216*q(z). -108*z**2 Let c(g) = 5*g**2 - 6*g - 1. Let d(s) = -11*s**2 + 13*s + 3. Give -9*c(k) - 4*d(k). -k**2 + 2*k - 3 Let q(n) = -3
{ "pile_set_name": "DM Mathematics" }
h is greater: -1383063 or -1383064? -1383063 Which is greater: -293.75 or -0.1? -0.1 Which is smaller: -284 or -267? -284 Which is bigger: 5/2746 or -1? 5/2746 Is 650502/5 >= 130099? True Do 0 and -53/1395 have the same value? False Is -0.2 equal to 1.95837? False Is 20023 > 20026? False Is -1471 less than or equal to -1423? True Is -74283 > 3/7? False Which is smaller: -19239 or -19229? -19239 Which is smaller: -7/1068406 or -1? -1 Is 1564 > 1553? True Which is smaller: 143974 or 143972? 143972 Which is bigger: -278185 or -1112743/4? -278185 Does -13013 = 1? False Is -493/2345 equal to 1? False Which is greater: -25971 or -26025? -25971 Which is bigger: -2 or 78752? 78752 Which is smaller: 47.90109 or -1/2? -1/2 Which is smaller: 23756 or 23748? 23748 Which is smaller: 1199 or 8388/7? 8388/7 Which is smaller: 343/156 or -9? -9 Is -8106 less than or equal to -8034? True Which is smaller: -1 or -7/14591? -1 Which is smaller: 1 or -60/24679? -60/24679 Which is greater: 8294 or 8161? 8294 Which is bigger: -45/583 or -8? -45/583 Is -5/27652 greater than or equal to 0? False Which is greater: -75/7774 or 1? 1 Are 1378 and 1522 nonequal? True Is 2352060 bigger than 2352062? False Is 1/6 equal to 262/2041? False Is 25/12759 >= 0? True Is 173645 smaller than -2/3? False Does 29/409 = -1? False Is 5791 less than or equal to 5750? False Is 27 at least 396? False Are -10600 and -80 unequal? True Is -30781 < -30730? True Is 11/199 greater than or equal to -2/23? True Which is greater: 63749 or 63742? 63749 Is -1363/305 bigger than -4? False Is -3/8 smaller than 894? True Are -17 and 3776 equal? False Which is greater: -268 or -67? -67 Which is smaller: -1061 or -989? -1061 Which is bigger: 13.2 or 0.2441? 13.2 Which is greater: 909/28 or 2/3? 909/28 Which is bigger: 0.049 or 27.8? 27.8 Is 1 at least -2/303779? True Are -1392 and 1.7 nonequal? True Is 0 greater than -11/3488? True Which is smaller: -543/479 or -2? -2 Which is greater: -168/20401 or -1? -168/20401 Which is greater: -77584/3 or -25860? -25860 Is 524022/13 equal to 40308? False Is 7092 < 7092? False Which is greater: 75502 or 75507? 75507 Is 445/2674 > -1? True Which is smaller: -1/2053 or -33? -33 Which is smaller: 0.6 or -22119? -22119 Is 69/7427 greater than -1? True Is -4.004 smaller than -38? False Is 0 not equal to -14/33473? True Is 0 at most as big as -53/11983? False Which is bigger: -2/47 or -6166? -2/47 Which is smaller: 550 or 529? 529 Which is smaller: 617 or 634? 617 Which is bigger: -1 or -3/2748632? -3/2748632 Which is smaller: -25149 or -25152? -25152 Which is bigger: 32787 or 32781? 32787 Which is greater: -5275 or -5262? -5262 Is 1/20 at most as big as -57/17? False Is -2488 <= -166632/67? True Which is smaller: -455/246 or -3? -3 Which is bigger: -0.0891 or -8.1? -0.0891 Is 2141 <= 1985? False Which is smaller: 234454 or 234433? 234433 Which is greater: 15/4909 or 1? 1 Is 1072/5 greater than 215? False Which is bigger: 16 or 357547? 357547 Which is smaller: -1156 or -137? -1156 Is -0.1 less than or equal to 2301807? True Is -24046 > -24047? True Which is bigger: -4/44759 or -1? -4/44759 Is 2/3 != -3240? True Is -2382 bigger than -2348? False Is 442270 at most as big as 442269? False Is -6 at most -10181/16? False Does 33178/383 = 86? False Is -113615 at most as big as -113615? True Which is bigger: -72 or 77? 77 Does 1 = 2/5675239? False Is 248325/19 equal to 13070? False Is 5.724 at most 7/3? False Is 78 equal to 421? False Which is smaller: 96 or -5/14? -5/14 Which is smaller: -233/3989 or -1? -1 Is 50389 <= -0.3? False Is 1953 <= -85? False Which is smaller: 165404 or 165426? 165404 Are -3/2 and 0.06331 equal? False Which is smaller: 1796 or 1784? 1784 Which is smaller: 31743 or 31780? 31743 Which is smaller: 268 or -734? -734 Is 182883 at least as big as 182912? False Are 1028 and -56 equal? False Which is greater: 106995 or 106996? 106996 Is -506 at least 339? False Which is bigger: -225 or 26? 26 Which is greater: 3268/245 or 0.9? 3268/245 Do -6/108877 and 1 have the same value? False Which is greater: 2 or 1746/557? 1746/557 Is 7275/439 <= 17? True Which is smaller: 428108 or 428109? 428108 Do 1769286 and 1769286 have different values? False Are -1/2634065 and 0 non-equal? True Is -3523 bigger than -3520? False Which is greater: 6/752543 or 1? 1 Is 41 at least as big as 10512/259? True Is 0 less than or equal to -117/311? False Is 299581 at most 299569? False Is -1498 at least -1466? False Which is smaller: 619091 or 619088? 619088 Is -176818 bigger than -176818? False Is 0 equal to -1/1216156? False Is -11119182 < -11119183? False Are -1/4 and -27319 unequal? True Which is smaller: -1174858 or -1174862? -1174862 Is 71506 bigger than 71509? False Which is greater: -32533 or -47? -47 Which is greater: 77342/19 or 4071? 4071 Which is smaller: -1/3861 or -3/70? -3/70 Which is greater: -28/40765 or 0? 0 Is 12954/5 less than or equal to 2592? True Is -11/219715 > 1? False Which is bigger: -433310/9 or -3? -3 Is -122934 less than -122933? True Is 45 greater than or equal to 1147/26? True Which is greater: 0 or -33/25645? 0 Which is smaller: -1 or -10/33689? -1 Which is greater: 4 or 16904? 16904 Do 1 and 9379 have the same value? False Is 128 at most as big as 436? True Is -7 != 0.2612? True Is 46685 less than 46593? False Is 53366 less than 53366? False Which is smaller: 201620 or 201622? 201620 Is 717 < 805? True Is 0 at most as big as -12/13079? False Is -27541 <= -27558? False Which is smaller: 5/2 or -10117/5? -10117/5 Do -859 and -858 have the same value? False Which is smaller: -95/3854 or 1? -95/3854 Is -1230584/9 at least -1/3? False Is 3552 equal to 3551? False Which is smaller: -2/311727 or 0? -2/311727 Is -12 less than or equal to 3.067? True Is -149/6902 less than or equal to -1? False Are 2381 and 30942/13 nonequal? True Which is smaller: 52/369 or 3/61? 3/61 Is -4534555 != -4534555? False Is 1/2550813 != -1? True Are 182716 and -0.2 equal? False Is 155036 equal to 0? False Which is greater: -9797 or -9798? -9797 Is -150 greater than -52.53? False Which is smaller: -1835 or -1819? -1835 Which is smaller: -272513 or -272518? -272518 Which is bigger: 686556 or 686564? 686564 Is 11510/13 < 885? False Which is bigger: -3466146 or 0? 0 Which is smaller: -1 or 1/6091479? -1 Which is greater: 3/4234 or -3? 3/4234 Which is smaller: 4847 or 4994? 4847 Which is bigger: 69 or 2073? 2073 Which is smaller: 51223 or -11? -11 Is -6.02 < -36/23? True Is -15628346 at least as big as -15628346? True Which is smaller: -118/32961 or 1? -118/32961 Which is bigger: -20548 or -82189/4? -82189/4 Which is smaller: 3651/28 or 129? 129 Are -1385798 and -1385798 equal? True Which is smaller: 193/341 or 1? 193/341 Which is greater: 134292 or 0? 134292 Which is bigger: -579036 or -579032? -579032 Which is bigger: -131801 or -131788? -131788 Which is smaller: -1 or -54/17791? -1 Which is bigger: 1/221426 or 0? 1/221426 Which is bigger: -9642 or -9589? -9589 Is 0 bigger than 1462/2179? False Which is greater: 1/5 or 553802? 553802 Which is smaller: 0 or 32119.79? 0 Is -6923 at most -6926? False Is -1/3032381 at least as big as 1? False Which is greater: 6 or -158213? 6 Is 1 smaller than -2/3356651? False Is 13882 at most 97173/7? False Is 1 > 2/109491? True Which is greater: 3004368 or 3004369? 3004369 Which is smaller: -2/14397795 or 1? -2/14397795 Are -39325 and -39326 equal? False Which is bigger: 56651 or 56650? 56651 Are 3456 and -1/11 equal? False Which is bigger: -6 or 3658? 3658 Which is smaller: -520 or 2.73? -520 Is -95 greater than -6656/71? False Which is greater: 12/3379879 or 1? 1 Is 303.2 not equal to 89/3? True Which is greater: 7026 or 7019? 7026 Is 7/13472 <= 1? True Is -316/147 greater than or equal to -1? False Is 595078/9 > 66121? False Which is bigger: -26 or -2639? -26 Are 3119 and 31191/10 unequal? True Which is smaller: -3191 or -3201? -3201 Which is smaller: 63187 or 0.2? 0.2 Is 53387 > 2? True Is 4362 >= 4412? False Which is smaller: 5196 or -197? -197 Which is smaller: -101838 or -101825? -101838 Is -37630 > -37630? False Is -561 bigger than 3185? False Is -30744 at least as big as -30742? False Are -228865 and -228868 nonequal? True Is -2 at least -928119?
{ "pile_set_name": "DM Mathematics" }
4 (base 15) in base 10? 49 Convert 122 (base 7) to base 5. 230 9 (base 13) to base 4 21 Convert 14 (base 7) to base 3. 102 Convert -4 (base 13) to base 3. -11 What is -2 (base 6) in base 2? -10 What is 4 (base 15) in base 14? 4 -2 (base 4) to base 15 -2 What is -33 (base 16) in base 7? -102 Convert -11 (base 15) to base 8. -20 7 (base 13) to base 4 13 Convert -52 (base 12) to base 8. -76 What is -32 (base 4) in base 16? -e Convert 0 (base 2) to base 13. 0 What is 11 (base 7) in base 10? 8 Convert 5 (base 12) to base 6. 5 21 (base 6) to base 7 16 3 (base 10) to base 9 3 Convert -10011101 (base 2) to base 12. -111 201 (base 4) to base 2 100001 -52 (base 10) to base 11 -48 65 (base 7) to base 14 35 8 (base 15) to base 16 8 What is 32 (base 6) in base 14? 16 What is 152 (base 10) in base 11? 129 10000111 (base 2) to base 6 343 What is 21 (base 5) in base 15? b Convert 220 (base 4) to base 12. 34 24 (base 7) to base 8 22 Convert -3 (base 9) to base 2. -11 -100111111 (base 2) to base 3 -102211 3 (base 16) to base 13 3 What is -1 (base 13) in base 9? -1 Convert 79 (base 11) to base 15. 5b Convert -22 (base 12) to base 7. -35 What is -2 (base 13) in base 5? -2 What is -21 (base 7) in base 5? -30 What is 1 (base 9) in base 12? 1 What is 305 (base 7) in base 5? 1102 11 (base 6) to base 2 111 What is 150 (base 9) in base 11? 105 Convert 1110 (base 2) to base 3. 112 What is -51 (base 8) in base 5? -131 Convert 6 (base 14) to base 8. 6 Convert 2 (base 12) to base 11. 2 What is -11 (base 7) in base 16? -8 -4 (base 7) to base 8 -4 What is -f (base 16) in base 13? -12 What is 61 (base 9) in base 2? 110111 32 (base 5) to base 7 23 Convert -11211 (base 3) to base 6. -334 Convert 232 (base 4) to base 3. 1201 What is -1232 (base 5) in base 14? -da -2 (base 3) to base 15 -2 Convert -5 (base 14) to base 4. -11 -11102 (base 3) to base 4 -1313 What is -1c (base 14) in base 10? -26 -33 (base 9) to base 12 -26 Convert 17 (base 14) to base 12. 19 What is b4 (base 15) in base 11? 144 -16 (base 8) to base 5 -24 37 (base 11) to base 2 101000 Convert -2 (base 9) to base 12. -2 Convert -2 (base 14) to base 6. -2 Convert -301 (base 7) to base 3. -12111 -40 (base 9) to base 10 -36 Convert -28 (base 12) to base 10. -32 Convert -39 (base 12) to base 14. -33 What is b (base 15) in base 8? 13 Convert 1132 (base 5) to base 11. 142 11 (base 2) to base 4 3 What is -271 (base 8) in base 13? -113 What is -1c (base 14) in base 11? -24 336 (base 7) to base 8 256 What is 3 (base 11) in base 3? 10 -20 (base 6) to base 9 -13 Convert 22 (base 10) to base 5. 42 What is 10001 (base 2) in base 10? 17 Convert 3 (base 9) to base 12. 3 Convert 5 (base 16) to base 13. 5 Convert -1c (base 14) to base 7. -35 What is -1c3 (base 13) in base 6? -1304 Convert 6 (base 9) to base 5. 11 Convert 1 (base 5) to base 13. 1 Convert 11 (base 10) to base 12. b Convert 4 (base 10) to base 16. 4 0 (base 10) to base 5 0 6 (base 9) to base 16 6 46 (base 11) to base 14 38 b8 (base 14) to base 7 321 49 (base 15) to base 10 69 What is 30 (base 10) in base 8? 36 What is -1 (base 9) in base 7? -1 -10 (base 5) to base 3 -12 -4 (base 5) to base 10 -4 What is -1 (base 4) in base 15? -1 What is 3 (base 6) in base 9? 3 -2100 (base 3) to base 8 -77 What is 1b (base 15) in base 3? 222 Convert -150 (base 7) to base 5. -314 Convert 221 (base 4) to base 5. 131 5 (base 6) to base 4 11 What is 1111 (base 2) in base 4? 33 Convert 1 (base 5) to base 12. 1 What is -2003 (base 5) in base 11? -210 -150 (base 9) to base 15 -86 Convert -154 (base 8) to base 13. -84 What is -13 (base 8) in base 3? -102 520 (base 6) to base 16 c0 7 (base 12) to base 11 7 What is 54 (base 12) in base 8? 100 What is 1 (base 7) in base 8? 1 What is -13 (base 4) in base 6? -11 What is -2 (base 16) in base 4? -2 What is d (base 14) in base 13? 10 What is -39 (base 15) in base 5? -204 Convert 3 (base 13) to base 16. 3 Convert -4d (base 14) to base 10. -69 What is -1 (base 6) in base 4? -1 100221 (base 3) to base 4 10030 -2102 (base 3) to base 12 -55 What is 10 (base 2) in base 12? 2 What is 5 (base 13) in base 12? 5 What is -6 (base 15) in base 8? -6 Convert 1 (base 10) to base 6. 1 Convert 101 (base 6) to base 5. 122 -14 (base 5) to base 2 -1001 What is 2b0 (base 12) in base 13? 264 What is -21 (base 7) in base 9? -16 -1 (base 13) to base 6 -1 -5b (base 16) to base 13 -70 Convert 5 (base 11) to base 16. 5 Convert 65 (base 15) to base 8. 137 1 (base 4) to base 7 1 What is 63 (base 10) in base 8? 77 Convert 101010 (base 3) to base 11. 229 Convert 17 (base 8) to base 13. 12 -65 (base 14) to base 11 -81 What is 10 (base 2) in base 3? 2 Convert -1f (base 16) to base 2. -11111 Convert -100010 (base 2) to base 12. -2a What is 11 (base 2) in base 3? 10 What is 4 (base 9) in base 16? 4 What is -403 (base 5) in base 6? -251 What is -11 (base 5) in base 15? -6 What is -12 (base 7) in base 16? -9 What is -4 (base 9) in base 15? -4 Convert -8 (base 14) to base 12. -8 Convert -132 (base 4) to base 15. -20 -11 (base 3) to base 6 -4 What is 13 (base 6) in base 5? 14 What is -115 (base 7) in base 2? -111101 1 (base 11) to base 8 1 -1011000 (base 2) to base 8 -130 -10 (base 3) to base 4 -3 20 (base 5) to base 9 11 Convert -2 (base 5) to base 15. -2 -97 (base 12) to base 8 -163 Convert 0 (base 5) to base 9. 0 What is 2101 (base 4) in base 7? 265 What is -2 (base 6) in base 9? -2 What is 2044 (base 5) in base 8? 422 What is 18 (base 10) in base 16? 12 What is 23 (base 11) in base 9? 27 be (base 16) to base 14 d8 Convert -2 (base 13) to base 14. -2 Convert 1 (base 5) to base 3. 1 What is -f (base 16) in base 10? -15 What is -14 (base 7) in base 5? -21 34 (base 5) to base 16 13 -22 (base 11) to base 3 -220 -4 (base 14) to base 5 -4 -90 (base 10) to base 14 -66 What is 0 (base 15) in base 13? 0 What is 1111 (base 2) in base 3? 120 Convert 12 (base 3) to base 10. 5 What is 10 (base 3) in base 6? 3 Convert -30 (base 8) to base 2. -11000 -5 (base 12) to base 8 -5 What is -4 (base 5) in base 16? -4 Convert 100021 (base 3) to base 2. 11111010 Convert 1 (base 16) to base 4. 1 What is 80 (base 14) in base 12? 94 What is -30 (base 16) in base 9? -53 Convert fb (base 16) to base 3. 100022 What is 4 (base 13) in base 14? 4 11 (base 3) to base 9 4 What is 1 (base 14) in base 8? 1 -1202 (base 3) to base 5 -142 7 (base 13) to base 7 10 41 (base 8) to base 11 30 Convert 110 (base 3) to base 11. 11 Convert 86 (base 13) to base 11. a0 What is -52 (base 9) in base 16? -2f Convert e (base 16) to base 5. 24 What is 6 (base 13) in base 16? 6 What is -a3 (base 13) in base 11? -111 Convert -2 (base 8) to base 13. -2 33 (base 8) to base 15 1c Convert -2 (base 4) to base 12. -2 -11000 (base 3) to base 11 -99 What is 11120 (base 3) in base 14? 8b 16a (base 11) to base 7 401 Convert -2 (base 5) to base 12. -2 What is -14 (base 8) in base 9? -13 What is 14 (base 15) in base 8? 23 Convert 103 (base 7) to base 3. 1221 Convert -181 (base 12) to base 14. -133 Convert -12 (base 3) to base 16. -5 What is 33 (base 12) in base 9? 43 -23 (base 10) to base 8 -27 Convert -a (base 14) to base 11. -a -120 (base 10) to base 15 -80 Convert 1001 (base 2) to base 12. 9 Convert -1 (base 15) to base 13. -1 What is -112 (base 3) in base 10? -14 Convert 17 (base 16) to base 14. 19 -5 (base 10) to base 15 -5 Convert -1013 (base 5) to base 8. -205 -4 (base 6) to base 15 -4 -3011 (base 4) to base 15 -d2 What is -11 (base 6) in base 2? -111 -45 (base 8) to base 10 -37 Convert -a7 (base 13) to base 4. -2021 What is -3 (base 12) in base 11? -3 Convert 77 (base 16) to base 7. 230 12102 (base 3) to base 2 10010010 -125 (base 9) to base 12 -88 Convert -37 (base 8) to base 11. -29 Convert 107 (base 8) to base 4. 1013 Convert 2 (base 7) to base 14. 2 What is -112 (base 3) in base 12? -12 What is 3 (base 15) in base 14? 3 Convert -3 (base 12) to base 14. -3 54 (base 8) to base 9 48 Convert -2 (base 10) to base 8. -2 Convert 302 (base 4) to base 6. 122 What is 10 (base 2) in base 16? 2 What is -20 (base 4) in base 14? -8 1 (base 7) to base 6 1 What is -3 (base 10) in base 11? -3 Convert -1 (base 14) to base 2. -1 What is -4 (base 5) in base 6? -4 -11 (base 12) to base 4 -31 Convert -7 (base 11) to base 9. -7 -1101100 (base 2) to base 3 -11000
{ "pile_set_name": "DM Mathematics" }
t(2)) - -4*-3*sqrt(17)*1*-3. 249*sqrt(17)/7 Simplify -2 + ((sqrt(68) + 2 + 4)*-6*1)**2 + 1. 864*sqrt(17) + 3743 Simplify (sqrt(162) + -2 + -1)**2 - (sqrt(10) - (sqrt(10) + sqrt(60)/sqrt(6)*3) - sqrt(10))/sqrt(5). -50*sqrt(2) + 171 Simplify (2*sqrt(931) + 3 - 3*sqrt(931)*-2)**2 + 5*(0 + sqrt(931))*-3. 231*sqrt(19) + 59593 Simplify -4*((sqrt(52) + (-2*sqrt(208))/sqrt(4))/(sqrt(16)/(sqrt(4)*2)))**2. -208 Simplify (5 + 0 + -2*sqrt(2736) + (sqrt(2736)*-2 + -3 - sqrt(2736))*3)**2*-2. -662144 - 2112*sqrt(19) Simplify (-3 + -1 + sqrt(425) + 5 + (sqrt(425) - (2 + (sqrt(425) + 0 - sqrt(425))) - (sqrt(425) + 5*(sqrt(425)*1 + sqrt(425)))))**2. 90*sqrt(17) + 34426 Simplify (2*(((sqrt(20) + sqrt(80))*-2)**2 + sqrt(20)) - (6*(1 + sqrt(20)) + 2 + (sqrt(20) - sqrt(40)/sqrt(2)))**2)*-2. -1312 + 376*sqrt(5) Simplify ((sqrt(55) - sqrt(550)/(sqrt(90)/sqrt(9)))*3)/((sqrt(180) - (4*sqrt(180) + sqrt(180) + sqrt(180)) - sqrt(180))*1). 0 Simplify 4*1*(sqrt(120)/(sqrt(294) + sqrt(6)))/(sqrt(396)/sqrt(11) - sqrt(4)). sqrt(5)/4 Simplify ((sqrt(576) - (sqrt(576) - (sqrt(576) - (sqrt(576)*-1 + sqrt(576)))*-2))/(sqrt(36)/sqrt(3)*4))**2. 12 Simplify -2 + ((-1 + sqrt(117))**2 + 1 - (-2*-2*sqrt(104))/sqrt(8)). -10*sqrt(13) + 117 Simplify (sqrt(119)*-5*-1)/(sqrt(175) + 1*sqrt(175) + sqrt(175)) + 4. sqrt(17)/3 + 4 Simplify ((sqrt(1300) + 0 + sqrt(1300))*5 + 0)*1. 100*sqrt(13) Simplify -2*((1*sqrt(70))/sqrt(10) - -3*sqrt(28) - (-3 + sqrt(21)/sqrt(3) - (-1*sqrt(7) + 3)**2)). -38 Simplify sqrt(34)/(sqrt(2)*-1*6)*5 + (sqrt(102) - (sqrt(102) + 2*sqrt(102))*-3)/(sqrt(864) + sqrt(864)*-2). -5*sqrt(17)/3 Simplify 4 + (-5 + (sqrt(1331)*-1*-1 - -2*(1 + sqrt(275))))**2. -126*sqrt(11) + 4864 Simplify (-1*(-4 + (sqrt(891) - 2*sqrt(891)) - 5*2*sqrt(891)))**2. 792*sqrt(11) + 107827 Simplify (4 + sqrt(304)*-1 + 5 + 3)*6. -24*sqrt(19) + 72 Simplify (sqrt(105)/(sqrt(20)/sqrt(4)) + sqrt(1344) + 2*sqrt(1344))/(sqrt(175)*6 - (sqrt(112) - -2*sqrt(112))). 25*sqrt(3)/18 Simplify (-1*sqrt(38)/sqrt(2)*3 + (-6*(sqrt(95) - (-3*sqrt(95) - sqrt(95))) + sqrt(95))/sqrt(5))**2. 19456 Simplify -1 + (6*(sqrt(108) + 1*sqrt(108) + 4 + sqrt(108) + 1))**2 + 2. 6480*sqrt(3) + 35893 Simplify -2*sqrt(44) + (1*sqrt(11))**2 + 5 + 3*sqrt(33)/sqrt(3) + -4 + sqrt(11) + 0. 12 Simplify (2 + (-6*-3*sqrt(637) + sqrt(637) + sqrt(637) + -5 + (sqrt(637) - (sqrt(637) - (sqrt(637) + 0))))*4)**2. -21168*sqrt(13) + 4494996 Simplify -3*(sqrt(45)*2 + 4) + 2. -18*sqrt(5) - 10 Simplify (sqrt(119) + (sqrt(119)*-1 - sqrt(119))*1 - sqrt(119) - sqrt(119))/(sqrt(42)/(sqrt(54)/sqrt(9))). -3*sqrt(17) Simplify 0 + 1 + 5*((sqrt(13) - (sqrt(13) + sqrt(13) + sqrt(39)/sqrt(3) + -3 - sqrt(13))) + -2 + sqrt(13) + -3)**2. 21 Simplify (1 + sqrt(343) + -3)*6 + 0 + -2. -14 + 42*sqrt(7) Simplify (((sqrt(6336) + (sqrt(6336) - (sqrt(6336) + sqrt(6336)*1 + sqrt(6336) - sqrt(6336))) - sqrt(6336))*-1)/(sqrt(40)/(-2*sqrt(360) - sqrt(360))))**2. 513216 Simplify (sqrt(78) + -6*(sqrt(78) + sqrt(78)*-1 - sqrt(78)))/((sqrt(60)*-3 - sqrt(60))/sqrt(10)). -7*sqrt(13)/4 Simplify (6*(1*sqrt(95) - sqrt(95)) - sqrt(95))/(sqrt(125) + (sqrt(125)*-2 - sqrt(125)) + sqrt(125))*-2. -2*sqrt(19)/5 Simplify 3*(sqrt(3564) + (sqrt(3564) + 4 + 2)**2). 702*sqrt(11) + 10800 Simplify 5 + 6*(sqrt(128) + -3 + 1*sqrt(128) + 1 + sqrt(128) + -1) + 0. -13 + 144*sqrt(2) Simplify ((-3*(-1 + sqrt(75)) + sqrt(75)*-2*-6)*5)**2. 6750*sqrt(3) + 152100 Simplify ((0 + sqrt(275))**2 + sqrt(275) + -3 - (-5 + sqrt(11) + sqrt(11) + -2*(sqrt(11) + -1))**2)*-5. -1315 - 25*sqrt(11) Simplify (sqrt(119)/((sqrt(77) - (sqrt(77) + (sqrt(77) + -3*sqrt(77) - sqrt(77) - sqrt(77))))/sqrt(11)) + -1*sqrt(1088)*1)**2. 16337/16 Simplify (2 + -2 + sqrt(1216) + 1 + (-1*sqrt(1216) - sqrt(1216))*-6 + -4)**2. -624*sqrt(19) + 205513 Simplify ((sqrt(66) - sqrt(66)*4)*4 + sqrt(66))/((1*sqrt(24))/sqrt(4)). -11*sqrt(11) Simplify (-1*sqrt(88) - sqrt(88))/((-1*sqrt(8))/sqrt(4)) - -4*((0 + sqrt(11) - sqrt(11))*-2 + 0). 4*sqrt(11) Simplify (-3*(sqrt(91) + (-1*sqrt(91)*-2 - sqrt(91))))/(sqrt(700) + -1*sqrt(700) + sqrt(700) + sqrt(700) - (sqrt(448)*1 + sqrt(448) + sqrt(448))). 3*sqrt(13)/2 Simplify sqrt(98) + 0 + 5 + (3*(sqrt(98) + (sqrt(98) - -2*sqrt(98))))**2 - ((sqrt(98) - (1 + sqrt(98))**2) + 0 - sqrt(98))*-4. -49*sqrt(2) + 13721 Simplify -6*(sqrt(28)/(sqrt(144) + 1*sqrt(144))*4)**2. -14/3 Simplify (4*(1 + (sqrt(1100) + 1 + -4 - 2*sqrt(1100)*2)))**2. 1920*sqrt(11) + 158464 Simplify (-3*((5 + (sqrt(405) - (sqrt(405) + 2*sqrt(405))))*2 + -4)*-1)**2. -3888*sqrt(5) + 58644 Simplify 1 + (sqrt(51)/(sqrt(3) + (3*sqrt(9))/sqrt(3)))**2 + 1 + -4. -15/16 Simplify (((sqrt(42)*-3)/sqrt(2))/sqrt(7) + (sqrt(432) + -3 - sqrt(3))*-6)*5. -345*sqrt(3) + 90 Simplify ((sqrt(196)*1 - sqrt(196))*-5 - sqrt(196))/(sqrt(7) + sqrt(7)*2*1) + -4. -4 - 2*sqrt(7)/3 Simplify 6*(-1 + (sqrt(180)*-1 - sqrt(5) - (sqrt(80)*1 - sqrt(5)))**2*2). 5994 Simplify ((sqrt(352) - -1*sqrt(352) - ((-1*sqrt(66))/sqrt(3) + sqrt(22)))/(1*-1*sqrt(11)*-3))**2. 128/9 Simplify -3 + 1*sqrt(14)/(sqrt(630)/sqrt(10))*-5. -3 - 5*sqrt(2)/3 Simplify (4*(sqrt(104)*-1 + sqrt(104) + sqrt(104) - sqrt(104)) - (sqrt(104) + sqrt(104) + (-1*2*sqrt(104) - sqrt(104))))/(sqrt(40)/(-2*sqrt(405) - sqrt(405))). -27*sqrt(13) Simplify -1 + 5*(sqrt(17) - sqrt(153))**2 - sqrt(170)/(sqrt(20)/sqrt(2))*-4. 4*sqrt(17) + 339 Simplify (-2*((-6*(sqrt(162) - -2*sqrt(162) - sqrt(162)) - ((2 + sqrt(162))*-5 - sqrt(162))) + -3))**2. -3024*sqrt(2) + 23524 Simplify (-1*sqrt(15))/sqrt(3) - (sqrt(5) + sqrt(5)*-1*-1) - (sqrt(30)/sqrt(96) + 1). -13*sqrt(5)/4 - 1 Simplify (4 + (-5*(sqrt(187)*1 - sqrt(187)))/(sqrt(11) + sqrt(55)/sqrt(80)))**2. 16 Simplify (sqrt(3600)*-2)/(-4*(sqrt(12) - sqrt(108)) + sqrt(12)) + sqrt(3) + (sqrt(3)*-1)**2*-5 + 3 + sqrt(12). -12 + 7*sqrt(3)/9 Simplify (sqrt(175) + -1 + -2*sqrt(343) + (-1*sqrt(168))/sqrt(6))**2. 22*sqrt(7) + 848 Simplify (2 + (-2*sqrt(108))/(6*(sqrt(16)/sqrt(4) + sqrt(4)) - sqrt(4)))**2. -24*sqrt(3)/11 + 592/121 Simplify ((sqrt(612) - 1*sqrt(612) - sqrt(612)) + 5 + sqrt(34)/(sqrt(18)/sqrt(144)))**2. -20*sqrt(17) + 93 Simplify (sqrt(99)/(sqrt(12)*-1))/((sqrt(1584) - 6*(-2*sqrt(1584) + sqrt(1584))) + sqrt(1584) - sqrt(1584)). -sqrt(3)/168 Simplify (-6*3*-2*sqrt(130))/((-5*(sqrt(90) - sqrt(90)*-1))/sqrt(9)). -18*sqrt(13)/5 Simplify -2*(0 + (sqrt(3872) + 2)**2 + 1 + sqrt(3872)). -7754 - 440*sqrt(2) Simplify (((-2 + sqrt(98)*2*2)*6)**2 + 1)*1. -4032*sqrt(2) + 56593 Simplify (-6*(sqrt(102) + (-2*sqrt(102) + sqrt(102) - sqrt(102))) - -2*sqrt(102)*-6)/(3*sqrt(54)/(-2*sqrt(9))). 4*sqrt(17) Simplify 6*(sqrt(162) - -6*-3*sqrt(162))**2*-2*-6. 3370896 Simplify (-3 + sqrt(18)/(sqrt(9)*-3))**2 + ((-1 + sqrt(8)/sqrt(4))*1)**2. 110/9 Simplify 1*(2*(sqrt(133) + (sqrt(133) - sqrt(133)*2)))/(sqrt(84)/sqrt(48)). 0 Simplify -6*((sqrt(20) + -6*-1*sqrt(20))/(sqrt(40)*-6))**2. -49/12 Simplify ((-5 + sqrt(468) + 2 - (sqrt(468) + 0 + -2)) + -3 + 3*(sqrt(468) + sqrt(468) + -3*sqrt(468)))**2. 144*sqrt(13) + 4228 Simplify (6*(3 + sqrt(153) + -2*sqrt(153)*2 + sqrt(153)*-4 + 1))**2. -6048*sqrt(17) + 270468 Simplify ((sqrt(156) + 3*(sqrt(156) + -1*sqrt(156)) + sqrt(156) - sqrt(156)) + -5*sqrt(156)*2)/((2*(sqrt(96) - -3*sqrt(96)))/sqrt(8)). -9*sqrt(13)/8 Simplify (-1*((sqrt(833) - 2*sqrt(833)*4) + sqrt(833) - (-4 + sqrt(833) + 0)))**2. -392*sqrt(17) + 40833 Simplify (6*-4*(1*sqrt(2592) - sqrt(2592))*-4)**2. 0 Simplify (-4*(sqrt(130)*-1 - sqrt(130))/sqrt(10) - (sqrt(52) + sqrt(832) + -1))**2*-6. -318 + 24*sqrt(13) Simplify -5*(sqrt(165)/(sqrt(3) + sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(15)/sqrt(5))))/((sqrt(5) + sqrt(10)/sqrt(2))*6)*1. -5*sqrt(11)/36 Simplify (sqrt(567) + sqrt(35)/sqrt(5)*6)**2 - ((sqrt(14) - sqrt(56)/sqrt(4))/sqrt(2) + (-3*sqrt(448) + sqrt(448) - sqrt(448))). 24*sqrt(7) + 1575 Simplify (5 + sqrt(3)*2 - (-2 + sqrt(12)/sqrt(4))) + 6*(sqrt(75)*2 + sqrt(3)). 7 + 67*sqrt(3) Simplify (2*sqrt(1664)*2)/((3*sqrt(24)/sqrt(2))/sqrt(6)). 32*sqrt(13)/3 Simplify -1*(6*(-1 + sqrt(475))*4*4)**2. -4386816 + 92160*sqrt(19) Simplify (5*((-1*sqrt(75) - sqrt(75)) + 2 + sqrt(75)*1*-1 - (2 + (-1 + sqrt(75))*-1)))**2. 500*sqrt(3) + 7525 Simplify -5 + (1*(sqrt(245) + sqrt(245) + sqrt(245)*-1)*4*1)**2 + 3. 3918 Simplify ((-2*sqrt(6) - sqrt(6))*-1)/sqrt(2) - (sqrt(48)*-4 + (-3*sqrt(3)*1 - sqrt(3)))**2. -1200 + 3*sqrt(3) Simplify
{ "pile_set_name": "DM Mathematics" }
: l or -2/3? l Suppose -2*m = -7 + 11. Which is bigger: -5/4 or m? -5/4 Let d = -44.8 - -45. Let u = -2 - -1. Let y = 2 + u. Which is smaller: d or y? d Suppose 5*x + 0*x = 0. Let w be (6/(-9) + x)*12. Let c = 9 + w. Is c greater than or equal to 1? True Suppose 6 = -5*o + 1. Suppose 0 = 4*f + f + 60. Let c be 1/(-2)*(-6)/f. Do c and o have the same value? False Let d(k) = -24*k - 6. Let s be d(-1). Which is bigger: 17 or s? s Suppose 5*k = 16 - 6. Is 3 > k? True Let c(y) = y**3 + 3*y**2 - 3*y + 4. Let j be c(-4). Suppose 4*d + 4 = 4*n, d - n + 5*n - 14 = j. Which is smaller: 1 or d? 1 Let u = 0.2 - 1.2. Let g = -0.204 + -0.196. Which is greater: u or g? g Suppose 0 = -18*y + 17*y - 10. Which is smaller: -9 or y? y Let b = -67/4 + 327/20. Let t be (-15)/(-50)*4/3. Is t smaller than b? False Suppose -3*z + 14 - 6 = x, 3*z - 28 = 4*x. Let k be (-14)/x - (-2)/4. Suppose 7*q - 3 = k*q. Are 0 and q equal? False Let t be (2*1)/(-7 - 6). Let x be -3*((-5)/3 - -2). Which is smaller: t or x? x Let r(d) = -d**2 + 8*d - 4. Suppose 3 = 3*b + 6. Let n be -21*b/(3 + 0). Let l be r(n). Which is bigger: l or 4? 4 Let w = -521/7 - -74. Is w equal to 2? False Let u = 4.09 + -4. Let f = 352 - 347.91. Let b = f - u. Is -0.1 >= b? False Let n = 45.4 + -42. Let w = n + -0.4. Is -2 smaller than w? True Let l(u) = -u - 6. Let p be l(-9). Let v = 4 - p. Do 1/8 and v have different values? True Let f(q) = q**2 - 28*q + 66. Let g be f(28). Are 65 and g equal? False Let f = -52 - -80. Is 29 < f? False Let t be 5/2*4/5. Suppose 5*b = 3*k - 10, -4*b - t*k - 9 = 21. Let f = -15 + 11. Is f >= b? True Let s = -831/7 + 119. Let y = -105/4 + 26. Is s > y? True Let t = -2022.989 + 2018. Let d = 0.089 + t. Let k = d - -5. Is k < 0.2? True Let v be (2/(-5))/((-3)/(-60)). Let m be (-9)/12 - 22/v. Let a = -22 + 91/4. Is a at least as big as m? False Let a be (-9)/2*(-20)/15. Suppose 15 = 3*b - a*b. Is b < -5? False Let v be 54/(-15) - (-4)/(-10). Let o be (-8)/((-1)/1 - 1). Suppose -2*b + 4 = -o*b. Which is greater: b or v? b Suppose 4*v + 38 = -0*v - y, 4*v + 44 = 2*y. Is -10 >= v? True Let j = 29 - 72. Is -43 at least as big as j? True Let k = -4 + 8. Suppose -q - k = -5*q. Which is bigger: 0 or q? q Let g be 2/(-4) - (-6)/12. Are -2/35 and g unequal? True Let j = 84112/5 + -16944. Let w = j + 4316/35. Which is smaller: 2 or w? w Let x be (3*(-4)/930)/((-8)/40). Which is greater: x or 1? 1 Let d = -0.9 - -0.1. Let y = d + 0.3. Let p = y + 0.4. Which is smaller: -1 or p? -1 Let p = 3.6 + 0.4. Let y = 3.7 - p. Which is bigger: 1 or y? 1 Suppose 0 = 2*s + 2 + 10. Is s greater than or equal to -5? False Let m(x) = -x**3 - 7*x**2 + 8*x - 2. Let n be m(-8). Is n < -3/5? True Let n be -1 - 0/(9/3). Let l be (-15)/(1 + 100/8). Is l at most as big as n? True Let b(i) = -3*i - 15. Let v be b(-6). Suppose -4*s - 2*t = -0*t + 28, 0 = -3*s + v*t - 30. Which is smaller: -1 or s? s Let y = 16 + -10. Let f = 5.836 - -0.064. Let s = f - y. Is -1 not equal to s? True Let j(l) = l - 9. Let g be j(10). Suppose -5*s + 3 = -2. Let p be 8/(-5)*s + 2. Is g at least p? True Let s = -112 + 73. Is 0.1 less than s? False Suppose 7*x - 18 = 4*x. Which is bigger: 5 or x? x Let y = 300/7 + -43. Which is smaller: 0 or y? y Let o = -8.8 + 4.6. Let r = -4 - o. Which is bigger: -3 or r? r Let h = -43 - -85/2. Suppose -20 = -0*l + 5*l. Let n be (1 - 4)*l/(-18). Which is greater: h or n? h Let t = 27 + -27.2. Is t at most as big as -7? False Suppose 0 = 2*m - 2 + 8. Let o be 431/14 + m/6. Let a = -204/7 + o. Which is smaller: a or 2? a Let f = -19/63 - -4/9. Let b be -2*(3*-1)/(-6). Is f bigger than b? True Let q = 14401/324615 + 2/4845. Is -1 < q? True Let j(a) = a**3 - 6*a**2 - 5*a - 14. Let z be j(7). Let o be (z - -4) + (-20)/5. Which is greater: -1 or o? o Let c be ((-2)/(-4))/((-1)/2). Let b be 8/(-12)*3/c. Suppose v = -b*v. Which is smaller: -1 or v? -1 Let l(w) = -w**2 - 10*w + 3. Let i be l(-10). Suppose 0*c + 6 = i*c. Suppose 3*f - 3*k - 13 = 2*f, -k - c = 2*f. Which is smaller: f or -0.02? -0.02 Let r be (-12)/7*2/(-8). Suppose 0 = -2*c - 4*p + 22, 10*p = 5*p + 25. Which is greater: c or r? c Let p = 10 - 8. Are 2 and p equal? True Let s be ((-1)/(-3))/(12/(-84)). Let f = 17/6 + s. Let d = 7 - 4. Does d = f? False Let a(z) = 4*z + 1. Let k be a(1). Suppose -k*o + 24 = -11. Is 6 >= o? False Let h(q) = -q**2 + 7*q + 14. Let i be h(11). Let g be (-4)/i*9/6. Which is greater: 1 or g? 1 Let m = 3 - 3.2. Let b be 192/80 - (-6)/10. Do b and m have the same value? False Let y(c) = c**3 - 4*c**2 - 7*c + 10. Let k be y(5). Is -1/160 less than k? True Suppose 0 = 3*h - 2*a - 3, 2 = 3*h - 4*a - 1. Is h <= -2/65? False Let u = -42 - -60. Let c = -18 + u. Which is smaller: c or -16? -16 Let d be 5/(-750)*(-8)/(-22). Let h = d + 302/825. Which is smaller: h or 1? h Let l be 2/(1 + -3) - -9. Suppose -l = -2*t, -4*t = -2*y - t - 16. Suppose 6 = -z + 5*g, 7*z + 9 = 2*z + 4*g. Is z at most as big as y? False Let r = -31 - -47. Which is smaller: r or 17? r Let a be 2/11 - 2/11. Let v be 0*(2 + (a - 1)). Suppose 5*j = 2*j - 3. Which is smaller: j or v? j Suppose 2*t - 10 = -0. Which is greater: 4 or t? t Let k be (-9)/(-2)*8/(-6). Are k and -9 unequal? True Let v(j) = j**3 + 5*j**2 - 4*j - 4. Let w be v(-4). Let y = 113/4 - w. Which is smaller: y or 1? y Suppose 3*x + 0*x = o + 1, -2*x - 1 = o. Let l = -3 - -1. Let h = -3 - l. Does o = h? True Suppose -2*a + 22 = -4*k, -4 + 14 = -2*k. Is -1/44 at least as big as a? False Let g(n) be the second derivative of -n**5/20 + n**4/3 - n**3/3 - n**2 + n. Let m be g(2). Let f be 3/(3/(-4)*m). Is f at most as big as -2? True Let k = -84 - -89. Which is greater: k or -2/13? k Let i be (1 - (-3 + 1))/(-1). Is -3 >= i? True Let a = 0.2 - 0.7. Let c(j) = -j**3 + 3*j**2 - 3*j. Let o be c(2). Let b be (o - 0)/(2/1). Which is smaller: b or a? b Let c be (-31)/(-2 - 5/(-2)). Let a be 1*(0 - (2 - c)). Let t = a - -321/5. Is t greater than -1? True Suppose 2*o + 2*c + 6 = 0, 5*o + 0 = -3*c - 7. Suppose -2*r + 46 = -4*b, b - 48 = 3*r - 6*r. Suppose -q + 4*a = r, o - 13 = -3*a. Is 2/9 at most as big as q? False Let b be 48/(-9)*6/(-4). Suppose -b = -4*o + 3*o + 2*k, 0 = -2*k - 4. Suppose 3*g - h - 3 = 0, -3*h + o*h + 2 = 2*g. Which is smaller: 2 or g? g Suppose -r + 8 = -2*h - 3*h, 2*h - 32 = -4*r. Suppose 7*c + 5 = 54. Are c and r non-equal? True Let a(x) = -4*x - 4. Let s be a(-1). Let o = -2 - -3. Is s greater than o? False Let v = 2.1 - 2.1. Which is smaller: v or -2/7? -2/7 Let q = -21 + 20. Is 2 smaller than q? False Let l = 358 - 369. Let j(f) = -f - 6. Let x be j(5). Is l at most x? True Let l(c) = 9*c**2 + 1. Let z be l(1). Suppose 2*f + 3*t - 6 = 0, -z = -5*f - 2*t - 3*t. Which is smaller: 2/13 or f? f Let p be (20/(-15))/((-8)/(-84)). Which is greater: -12 or p? -12 Let c = -26 - -20. Which is smaller: c or -8? -8 Let t be -5 + (3 - 4) + 2. Which is smaller: -19/6 or t? t Let t = -4.8 - -26.8. Let q = t - 21.95. Is 1 at most q? False Suppose -3*j + 9 = -3. Suppose 0*r = j*r. Suppose r = -6*x + 2*x - 4. Is x at least 1/4? False Suppose 0 = -2*y - 0*y + 4. Let d(n) = n - 6. Let o be d(-6). Let h be o/(-10) - (-2)/(-10). Are h and y equal? False Suppose 27 = 3*s + 4*t, -5*t = s + 6 - 26. Are s and 5 non-equal? False Let p = 7.5 - -3.7. Let n = p - 12. Is n < 0.2? True Suppose w = -4*w. Let t be 1 + w/(2 - 3). Let h be 9*(-2)/14 + t. Is h <= -1? False Let t = 3 + -1. Let o be t/(-6)*(-6)/154. Let m = 73/308 + o. Which is greater: m or 0? m Let t = 339/1162 - 1/166. Is 0 at most t? True Let b = 26 - 51/2. Which is smaller: 10 or b? b Let t = 147/10 - 871/30. Let a = -14 - t. Suppose 3*v = -0*v. Which is smaller: v or a? v Let l(j) be the third derivative of j**6/120 + 7*j**5/60 - 7*j**4/24 + j**3 - 4*j**2. Let f be l(-8). Is f at most -3? False Let s be (-3 + 57/15)*-5. Suppose -4*m = -4*r - 36, 2*r + 2 = -5*m + 12. Which is bigger: s or r? s Let q(b) = -b + 8. Let l be q(9). Which is smaller: 3/19 or l? l Let d be (4/(-14))/(45/(-18)). Which is smaller: d or -1? -1 Let s(g) = g + 4. Let w be s(-5). Which is smaller: -2/103 or w? w Let p be (-51)/17*44/6. Is p <= -20? True Let p = 105.1 - 111. Let j = p + 6. Which is smaller: -10 or j? -10 Let t = -0.2 - -0.18. Let q = 0.22 + t. Is -0.2 >
{ "pile_set_name": "DM Mathematics" }
at is z(w(k))? -47184*k**2 + 1 Let s(m) = 71*m. Let b(j) = j. Give b(s(l)). 71*l Let q(f) be the third derivative of -f**4/12 - 28*f**2. Let n(o) = 34*o**2. Determine n(q(t)). 136*t**2 Let n(g) = 2*g. Let h(c) = 3*c - 1 + 1 - 2*c. What is h(n(k))? 2*k Let j(u) = -2*u. Suppose -2*b + 4 = r, r + 3*b + 1 = 3*r. Let x(z) be the second derivative of 0*z**3 + 1/6*z**4 + 0*z**r - z + 0. What is j(x(g))? -4*g**2 Let t(h) = 40*h. Let r(v) = -2*v**2. What is t(r(p))? -80*p**2 Let s(v) = 4*v**2. Let j(w) = -13*w + 3*w + 8*w. What is j(s(x))? -8*x**2 Suppose 6*x - 3*x = 6. Let z(o) = 0*o - x*o + o - o. Let v(a) = 2*a. Calculate z(v(t)). -4*t Let u(p) = 3*p. Let s(o) = -o**2 - 9*o - 9. Let g be s(-8). Let z = g - -3. Let b(x) = x + z*x**2 - x. Determine b(u(m)). 18*m**2 Let i(h) = -4*h + 2. Let k(t) = 5*t - 3. Let f(p) = -p - 9. Let u be f(-6). Let n(b) = u*i(b) - 2*k(b). Let y(q) = 5*q. What is y(n(m))? 10*m Let m(g) = -2*g - 1. Let s(z) = -4*z**2. What is m(s(u))? 8*u**2 - 1 Let x(q) be the third derivative of 19*q**4/24 + 29*q**2. Let b(c) = -2*c**2. What is b(x(o))? -722*o**2 Let q(r) = r. Let h be (-16)/(-24)*(3 - 0). Let v(z) = 4*z + 0*z - h*z + 0*z. Determine v(q(n)). 2*n Let c(j) = -2*j + 2*j - 5*j - j - 5. Let s be 3/(-6) - 9/(-2). Let n(b) = 5*b + 4. Let z(r) = s*c(r) + 5*n(r). Let a(x) = -2*x**2. What is a(z(m))? -2*m**2 Suppose 5*y - 37 = d, 10*d = 4*y + 5*d - 17. Suppose -3*c + y*c - 10 = 0. Let f(x) = x - c + 2. Let s(a) = -a**2. What is s(f(v))? -v**2 Let h(v) = -v**2. Suppose -2 = -4*j + 14. Suppose -5*p = -j*p - 3. Let l(d) = 1 + p*d - 1. Determine h(l(f)). -9*f**2 Let w(h) = 4*h**2 + 12*h**2 - 17*h**2. Let p(n) = 14*n. Calculate p(w(q)). -14*q**2 Let j(g) = 2*g**2. Let f(l) = -62*l**2. What is f(j(n))? -248*n**4 Suppose -2*l - 2*t = -6, 0*l + 18 = 5*l + 2*t. Let x(q) = -q**2 - 5*q**2 + l*q**2 - 6*q**2. Let v(z) = -2*z. What is v(x(o))? 16*o**2 Let r(y) = -y + 38 - 38. Let g(j) be the third derivative of 0 + 1/30*j**5 + 0*j**3 + 0*j + 0*j**4 - j**2. Calculate g(r(x)). 2*x**2 Let f(g) = -5*g - 2. Let i(c) = 81*c + 33. Let q(a) = -33*f(a) - 2*i(a). Suppose 15 = 4*r + r. Let l(x) = 3*x**2 + 6*x - r*x - 3*x. What is q(l(b))? 9*b**2 Let v(j) = -5*j**2. Let h(l) = -l**2 + 1. Let f(g) = 2*g**2 - 1. Let k(b) = f(b) + h(b). Calculate k(v(n)). 25*n**4 Let w(s) = -952*s**2 + 42*s + 42. Let p(t) = 112*t**2 - 5*t - 5. Let i(a) = -42*p(a) - 5*w(a). Let x(m) = -2*m. Determine x(i(b)). -112*b**2 Let n = 12 - 8. Let m(c) = -1 - 3 - 3*c + n. Let f(g) = g**2. Calculate f(m(t)). 9*t**2 Let m(o) = -4*o**2 + 5*o**2 + 2*o**2 + o**2. Let k(q) be the second derivative of -q**3/3 + q. Determine m(k(c)). 16*c**2 Let n(y) = -y - 88. Let q(k) = -17*k. Determine q(n(m)). 17*m + 1496 Let a(t) be the first derivative of -5*t**2/2 + 38. Let z(s) = 7*s. Determine a(z(w)). -35*w Let n(b) = 7*b. Let x(s) = -44*s + 92*s - 47*s. What is x(n(r))? 7*r Let a(u) = -2261*u. Let g(y) = 3*y. Determine a(g(k)). -6783*k Let p(j) = j**2 + 2*j. Let b(g) = -3*g. Let x(a) = 4*b(a) + 6*p(a). Let z(v) = -3*v**2. What is z(x(q))? -108*q**4 Let n(u) = 5243*u. Let f(t) = 3*t. What is f(n(x))? 15729*x Let u(x) = x**2 + x - x. Suppose -2*h + 4*w = -20, 2*h + 3*h - 14 = w. Let o(b) = h*b**2 - b**2 + b**2. What is u(o(l))? 4*l**4 Let s(p) be the second derivative of p**5/60 - 5*p**3/6 + 2*p. Let a(f) be the second derivative of s(f). Let w(h) = 4*h**2. Calculate w(a(l)). 16*l**2 Suppose -2*t - 7 = 7. Let j(v) = -3*v. Let x(l) = -10*l. Let a(s) = t*j(s) + 2*x(s). Let m(i) = -14*i. What is m(a(b))? -14*b Let h be 5 - (1 + (1 - 2)). Let w(j) = -2*j**2 + 5 - h. Let p(x) = 5*x. Give p(w(y)). -10*y**2 Let a(o) = -2*o. Suppose -3*s = 2*s. Suppose s = 2*k - 2 - 6. Let c(b) = -4*b + k*b - 2*b. Calculate c(a(w)). 4*w Let x(m) = 2*m + 3. Let f(b) = -3*b - 4. Let y(a) = -3*f(a) - 4*x(a). Let j(v) = 4*v - 3. Determine j(y(l)). 4*l - 3 Let m(v) = -4*v. Suppose 8 = -t - 26. Let o(h) = 23*h. Let w(s) = t*m(s) - 6*o(s). Let d(c) = -2*c**2. Calculate w(d(k)). 4*k**2 Let u(f) = -2*f + 12. Let o(k) = 7*k**2. What is o(u(t))? 28*t**2 - 336*t + 1008 Suppose 32 = 5*b + 3*k, -5*k = -4*b + 33 - 0. Let w(z) = 2*z**2 - b*z**2 + 4*z**2 + 3*z**2. Let f(v) = -2*v + 2*v + v. What is f(w(d))? 2*d**2 Let w(v) be the third derivative of -v**4/12 + v**2. Suppose 5*p - 2*l + 7*l - 25 = 0, 4*l = 2*p - 4. Let n(r) = -3*r**2 - p*r**2 + 4*r**2. Determine n(w(h)). -12*h**2 Let x(o) = 11*o**2. Let w(v) = 2*v. Give x(w(h)). 44*h**2 Let l(i) = -104*i + 156. Let h(s) = s - 1. Let p(k) = 156*h(k) + l(k). Let j(y) = -y**2. Calculate p(j(c)). -52*c**2 Let q(a) = 2*a**2. Let t(w) be the third derivative of w**4/24 + 3*w**3/2 - 3*w**2. Let j be t(-7). Let s(g) = 13 - 13 - j*g. What is q(s(c))? 8*c**2 Let g(a) = 18*a. Let k(m) = m + 22. Calculate k(g(h)). 18*h + 22 Let w(i) = i - 6. Let t(k) = -k + 7. Let s(r) = -6*t(r) - 7*w(r). Let g(f) = -5*f. Let u(m) = -g(m) + 4*s(m). Let z(n) = -3*n**2. Give u(z(p)). -3*p**2 Let o(h) = 20*h**2. Let l(w) = 14*w + 2. What is l(o(f))? 280*f**2 + 2 Let o(m) = -15*m**2. Let u(k) = 62*k. What is o(u(r))? -57660*r**2 Let w(k) = 1975*k**2. Let d(x) = -3*x**2. Give d(w(c)). -11701875*c**4 Let n(h) = 4*h. Let c(v) be the third derivative of v**4/6 - 8*v**2. Calculate n(c(d)). 16*d Let q(s) = s. Let h(o) = -o - 153. Give q(h(c)). -c - 153 Let f(i) = 33*i. Let u(p) = -8*p**2. Let o(l) = -3*l**2. Let j(a) = 14*o(a) - 5*u(a). Calculate f(j(h)). -66*h**2 Let h(l) = 3*l + 27. Let n(y) = -1. Let i(x) = -2*h(x) - 54*n(x). Let f(b) = b. Give i(f(c)). -6*c Let x(h) be the first derivative of 3*h**2/2 + 102. Let i(n) = 2*n**2 - 3*n**2 - 5*n**2. What is i(x(v))? -54*v**2 Let c(k) = -k**2. Let g(i) be the third derivative of -i**5/12 - 2*i**2. Give c(g(x)). -25*x**4 Let r(w) = -5*w**2. Let v = 9 + 1. Suppose 13*a - 6 = v*a. Let x(d) = 4*d**2 - 2*d**a - 3*d**2 + 3*d**2. Determine x(r(s)). 50*s**4 Let y(z) = 2*z. Let t(h) = h - 1. Let r(v) = 4*v**2 + 16*v - 16. Let n(g) = -r(g) + 16*t(g). What is y(n(m))? -8*m**2 Let w be 3*(-1)/(0 - 1). Suppose d + 8 = 5*j + w, 19 = 2*j + 3*d. Let z(t) = 2*t**j - 2*t + 2*t. Let o(u) = -2*u**2. Calculate z(o(f)). 8*f**4 Let a(c) = 2*c**2. Let p(o) = 49*o**2 + 2*o. Calculate a(p(d)). 4802*d**4 + 392*d**3 + 8*d**2 Let a(o) = 4*o. Let b(s) = 14*s - 4*s - 31*s. Give b(a(l)). -84*l Let d(q) = -4*q + q - q. Let o(x) = -32*x**2 - 32*x**2 + 62*x**2. What is o(d(z))? -32*z**2 Let r(l) = -2*l**2. Let n(i) = 264*i + 77. Let d(z) = 17*z + 5. Let t(b) = 77*d(b) - 5*n(b). Give r(t(p)). -242*p**2 Let f(l) be the second derivative of 0*l**2 + 0 - 1/4*l**4 + 0*l**3 + 3*l. Let r(h) = 6*h**2. Determine r(f(k)). 54*k**4 Suppose 3*t = -4*j + 2, -t = 3*j - 2*j - 1. Let q(h) = -t*h + 3*h + 0*h. Let v(y) = y. What is v(q(s))? s Let f(b) = -b. Let w(n) be the third derivative of -n**5/4 + n**3/3 + 26*n**2. Determine w(f(d)). -15*d**2 + 2 Let y(p) = -9*p. Let r(m) = -13*m. Let h(g) = -6*g. Let x(k) = -7*h(k) + 3*r(k). Give x(y(c)). -27*c Let a(b) = -49*b**2 + 17. Let i(f) = -16*f**2 + 6. Let t(y) = 6*a(y) - 17*i(y). Let g(o) = 2*o**2. Give g(t(k)). 968*k**4 Let z(c) = 3*c + 0*c + c. Let f(b) be the third derivative of b**5/60 + b**2. Determine z(f(u)). 4*u**2 Let c(v) = -9*v. Let l(y) = y. Calculate c(l(f)). -9*f Let m(u) = 198*u + 3. Let p(r) = -2*r. What is m(p(q))? -396*q + 3 Let q(k) = -18*k. Let m(n) = 6*n. What is q(m(y))? -108*y Let t(i) be the second derivative of 0*i**2 - 8*i + 0 + 1/6*i**3. Let o(c) = -7*c**2. Calculate t(o(g)). -7*g**2 Let f(i) = -10*i**2. Let w(n) be the first derivative of -n**3/3 - 3. Determine f(w(h)). -10*h**4 Let w(l) be the third derivative of -l**5/60 - 38*l**2. Let r(a) = -3*a. What is r(w(i))? 3*i**2 Let r(c) = -18*c**2. Let n(y) be the second derivative of 0 + 0*y**3 + 6*y - 1/12*y**4 + 0*y**2. Give n(r(q)). -324*q**4 Let r(l) = -8*l**2. Let s(k) = 4*k**2 + 6*k. Let c be s(-3). Let b(x) = x**2. Let d(v) = c*b(v) + 2*r(v). Let w(u) = -18*u. Give w(d(o)). -36*o**2 Let z(v) = -v**2. Let q(u) be the third derivative of u**6/240 + u**4/8 + 4*u**2. Let x(p) be the second derivative of q(p). Determine z(x(b)). -9*b**2 Let j(x) be the third derivative of 0 + 0*x**3 - 11/60*x**5 + 0*x**4 + 0*x + x**2. Let b(o) = -o. Calculate j(b(f)). -11*f**2 Let v(p) = 5*p**2 - 15*p. Let x(n) = 6*n**2. Cal
{ "pile_set_name": "DM Mathematics" }
7. Let j be n(-5). Let r = -6 - j. What is the highest common divisor of 10 and r? 2 Let t be 256/16 - (-10)/(-2). Calculate the highest common factor of 209 and t. 11 Let h be (2*2/(-14))/((-1)/7). Let u = -7 - -15. Calculate the greatest common factor of h and u. 2 Let a be (11 - 0)*-3*1. Let s = 50 + a. Calculate the highest common divisor of s and 136. 17 Suppose -5*g = 2*r - 33, 0*g + 2*g = 5*r - 126. Let i be -16*((-18)/(-8) + -3). What is the highest common divisor of r and i? 12 Let p = -14 + 20. What is the greatest common factor of 2 and p? 2 Suppose 9 = 3*m - 45. Let j(a) = 2*a**3 - 8*a**2 + 6*a + 1. Let w be j(5). Suppose k = -2*k + w. What is the highest common factor of k and m? 9 Let o be 1/(4/(-8))*-10. What is the highest common factor of 8 and o? 4 Let y = -98 - -176. Let t be (-423)/(-39) - (-12)/78. Suppose t = a - 2. What is the highest common factor of a and y? 13 Let y be (-9)/(-2 - (-42)/22). Suppose -5*p - 3 = -2*v, 0*v - 2*p + 33 = 3*v. Calculate the highest common factor of y and v. 9 Suppose 0 = -5*r + 2*s - 3*s + 300, 0 = -4*s. What is the greatest common divisor of 24 and r? 12 Suppose 0 = 3*f + 17*f - 2600. Calculate the greatest common divisor of f and 195. 65 Suppose -5*p - 250 = -5*v, 2*p - 1 = 3. Calculate the greatest common factor of v and 182. 26 Let y = -10 + 20. Suppose -4*z = p - 83, -z = -0*z + 3*p - 29. What is the greatest common factor of y and z? 10 Let t = 8 - 8. Suppose 3*r + s - 653 = t, -1154 = -5*r + s - 79. What is the highest common factor of 24 and r? 24 Let i(m) = -m**3 + 5*m**2 - 3*m + 1. Let f(n) = n**2 + 3. Let g be f(0). Let a be i(g). Let z = 26 - a. What is the highest common factor of z and 4? 4 Let u(l) = 2*l**2 + 4*l + 1. Let x be u(-3). Let j be 32/x - (-6)/14. Calculate the highest common divisor of 2 and j. 1 Let o be (-6)/(-1 - 3/6). Suppose 0 = -5*n + 3*d + 34, -34 - 1 = -o*n + 5*d. What is the highest common factor of n and 25? 5 Let j be (9/(-6))/((-3)/32). What is the greatest common factor of j and 8? 8 Let l = -3 - -13. Let k = 3 + l. What is the greatest common divisor of k and 117? 13 Let s be (12/5)/(12/40). Calculate the highest common factor of s and 72. 8 Suppose 9*r - 4*r = 210. What is the greatest common factor of r and 6? 6 Suppose -7*t + 2*t + 615 = 0. Calculate the highest common factor of 82 and t. 41 Suppose -4*w - 6 = 4*p - 18, w = 2*p. What is the greatest common divisor of w and 8? 2 Let t(i) = 9*i + 27. Let q be t(0). Calculate the highest common divisor of 216 and q. 27 Let r(b) = -2*b + 2. Let l be r(2). Let g be ((-12)/9)/((-2)/12). Let o = l + g. Calculate the greatest common divisor of o and 18. 6 Let n(s) = s - 2. Let o be n(-6). Let u be o/36 + 994/18. What is the highest common divisor of 11 and u? 11 Let n(o) = 8*o**2 - 1. Let p = -17 + 16. Let q be n(p). Calculate the greatest common divisor of q and 7. 7 Let i be 5*1/((-15)/(-6)). Suppose 12 + i = b. What is the greatest common divisor of 7 and b? 7 Let g = -16 + 38. Calculate the greatest common divisor of g and 88. 22 Let b be -2 + 71 + 1 + -5. Calculate the highest common factor of b and 13. 13 Let p = 18 + -2. Let r be ((-8)/5)/(2/(-40)). What is the greatest common factor of r and p? 16 Suppose -4 + 10 = 3*b. Suppose q + 2 = 0, b*t + t - 5*q = 175. What is the highest common divisor of t and 11? 11 Let h = -12 + 2. Let v be 6/h*(2 + -47). Calculate the greatest common factor of v and 27. 27 Let v = -17 - -35. Let c be (-15)/20 - v/8. Let y be c*(0 + 2)/(-2). What is the highest common factor of 9 and y? 3 Suppose 48 = 3*h + 12. What is the greatest common factor of 36 and h? 12 Let r be (60/25)/(1/25). Calculate the greatest common divisor of r and 15. 15 Let n(j) = -j**3 - j**2 + 56. Let w be n(0). Let x be -2 - 2/2 - -2. Let r be -1 - ((-2)/x - 11). What is the greatest common factor of w and r? 8 Suppose 0 = 5*r - 2*o - 379, -4*r + 0*o = 4*o - 320. Let y = -8 + 15. Calculate the greatest common divisor of r and y. 7 Let d = 37 + -16. Let b = d + -32. Let k = 15 + b. Calculate the highest common divisor of k and 6. 2 Let b(k) = 3*k - 9. Suppose -4*l = -2*j - 24, -2*l = 4*j - 6*l + 28. Let p be 3/6 + (-13)/j. Let i be b(p). Calculate the highest common divisor of i and 18. 6 Suppose 5*t - 4*t - 119 = 0. What is the highest common factor of 17 and t? 17 Let w(s) = -2*s - 7. Let x be w(-3). Let o be 43 + -2 + 2 + x. Calculate the highest common divisor of o and 28. 14 Suppose 5 = -2*u + 31. Suppose l + 203 = 4*o - 4*l, -2*o + 5*l + 99 = 0. Suppose 3*v = 2*v + o. Calculate the highest common divisor of u and v. 13 Suppose -7*f + 490 + 84 = 0. What is the greatest common divisor of 123 and f? 41 Suppose 9 - 1 = 2*j. Suppose -5*k + k = -j. Suppose 2*y + 3*y = 40. What is the greatest common divisor of y and k? 1 Let o = -8 - -20. Suppose 0 = -2*j + 3*p + 2*p + 58, -4*j = -4*p - 104. What is the greatest common factor of o and j? 12 Let n(r) be the second derivative of -r**5/20 + r**4/2 - r**3/2 + 2*r**2 - 7*r. Let l be n(5). What is the greatest common divisor of l and 7? 7 Let d = -5 - -20. Suppose -3*j = f - 6, 5*j = 3*j + 2. Calculate the greatest common divisor of f and d. 3 Let j(g) = g**2 - 13*g + 10. Let c be j(13). Let o(a) = a**3 + 10*a**2 - 11. Let v be o(-9). Calculate the greatest common factor of c and v. 10 Let m be (-218)/(-4)*14/7. Suppose 3*p + 2*o - 5*o - 75 = 0, -4*p + m = 5*o. What is the highest common factor of 104 and p? 26 Let z(r) = 4*r**2 + 5. Let w be z(-5). Suppose -2*h + 42 = 5*s, -3*h - 2*h + 105 = -4*s. Calculate the greatest common divisor of h and w. 21 Let i be 26/7 + (-12)/7 + 2. What is the highest common factor of i and 16? 4 Let s = -45 + 64. What is the highest common divisor of s and 171? 19 Let b be (12/(-4))/((-3)/11). What is the greatest common factor of 121 and b? 11 Let c = -2 + 5. Suppose 5*o - c*o - 20 = 0. Calculate the greatest common divisor of 30 and o. 10 Let j be (-648)/(-15) + (-1)/5. Suppose 2*c - 18 = -u, j = 3*u - c - 25. Calculate the highest common factor of u and 110. 22 Let b = 13 - -3. Calculate the highest common factor of 40 and b. 8 Suppose 3*v + 0*v + 6 = 0. Let y be (6/v - -7) + 1. What is the greatest common divisor of 35 and y? 5 Let b = 28 + -18. Let d(o) = o**2 + o + 10. Let t be d(4). Calculate the greatest common divisor of t and b. 10 Suppose 2*x = 5*u + 39, -3*x - 2*u - 38 = -106. What is the greatest common factor of x and 11? 11 Suppose -l + 8 + 43 = 0. What is the greatest common factor of 17 and l? 17 Let z(j) = j**3 - 7*j**2 + 8*j. Let d be z(6). What is the greatest common divisor of d and 84? 12 Let f(c) = -3*c**2 + 4*c**2 + 1 + 2*c**2. Let r be f(2). Let n = r - -37. Calculate the highest common factor of n and 10. 10 Let o(d) = -d. Let h be o(-4). Let y = -6 - -11. Suppose -h*n = -z - y - 140, 4*n - 143 = -z. What is the highest common factor of 24 and n? 12 Suppose 6*n = -0*n + 60. What is the greatest common divisor of 25 and n? 5 Let x(y) = 4*y**2 + 5*y - 4. Let s be x(1). Let a be (-2 + 3)/((-1)/(-25)). What is the greatest common factor of s and a? 5 Suppose -2*k - 3*k + 80 = 0. Let d be 133/4 - (-12)/k. What is the greatest common factor of 51 and d? 17 Let x = 16 + -16. Suppose -106 = -x*i - i - 5*q, -374 = -3*i - q. Calculate the greatest common factor of i and 18. 18 Let h(i) = i + 294. Let a be h(0). Let u = a - 169. Suppose 0*p = m - 2*p - u, -2*m - p + 230 = 0. Calculate the highest common divisor of m and 13. 13 Suppose 5*f - 20 + 0 = 0. Calculate the highest common factor of 4 and f. 4 Let s be -3*(12/(-3) + 3). Calculate the highest common factor of s and 2. 1 Suppose 0 = -h + 2 + 1. Suppose 2*l + h*l = 90. What is the highest common factor of 45 and l? 9 Suppose -4*s + 232 = 4*t, -2*t + 96 = -0*t - 3*s. Calculate the greatest common factor of 90 and t. 18 Let w be (-4)/18 + 182/9. Let v = w + -4. Calculate the greatest common factor of v and 40. 8 Let f be (-167 + -4)/(-3) - -3. What is the greatest common factor of f and 10? 10 Let l(b) = -2*b - 6. Let q be l(-4). Calculate the greatest common divisor of q and 22. 2 Suppose -r + 2 = 4*s - 16, 0 = -2*r + 4*s + 84. Suppose -3*f - r = -f. Let c = f - -45. Calculate the greatest common factor of c and 4. 4 Let f be (-1 - 11)*(-5)/4. Suppos
{ "pile_set_name": "DM Mathematics" }
of (-464)/d + 13 + -9? 2 Let m be (2/(-4)*0)/1. Suppose -2*h + 9 - 1 = m. Let x(w) = 13*w + 11. What is the units digit of x(h)? 3 Let i = 1158 + -600. Suppose -3*w - 518 = -4*w + 4*h, 4*h - i = -w. What is the units digit of w? 8 Let a(g) = 4*g + 25. Suppose -2*r - x - 18 = x, 4*x = 3*r - 1. What is the units digit of a(r)? 5 Suppose -p + 176 = -2*y, -4*p + 708 = -3*y - y. Suppose 2*m - 186 = -p. What is the units digit of m? 4 Let u(y) = -5*y**2 + 0*y**2 + 2*y**2 + 4*y**2 - 8*y - 9. Let i be u(9). Suppose i = 3*q + 5*l - 150, 0 = 3*q - 3*l - 0*l - 150. What is the tens digit of q? 5 Suppose l - 3*h - 11349 = -2*l, -2*l - 3*h + 7571 = 0. Suppose 32*m = 43*m - l. What is the hundreds digit of m? 3 Let g(d) = -56*d + 675. What is the thousands digit of g(-37)? 2 Let k(j) = 12*j - 70. Let i be k(6). Suppose 3*r = 3*z + 3543, i*r = 3*z - 4*z + 2353. What is the thousands digit of r? 1 Suppose -385*n + 377*n = -105221 + 35109. What is the hundreds digit of n? 7 Suppose 0 = 10*g - 16 + 1316. Let y = -80 - g. Let v = y - 9. What is the units digit of v? 1 Suppose -6*p + 5*p = -4. Suppose 5*r + 4 = -p*s, -4*r + s + 1 = -2*r. What is the units digit of (r/(-2) - -2)*(-231)/(-6)? 7 Let y(v) = -v**3 - 122*v**2 - 70*v + 1944. What is the tens digit of y(-122)? 8 Suppose 8 = 2*a, 2*q - 138 = a - 5*a. Suppose 0 = 2*n - n + 2*m - 30, 2*n + 3*m = 56. Let t = n + q. What is the tens digit of t? 8 Let w be (1*(-94)/(-1))/1. Let r(g) = -2*g**2 - 14*g - 13. Let t be r(-8). Let c = w + t. What is the units digit of c? 5 Let c(z) = -5*z - 117. Let i be c(-24). Suppose -4*a = x - 8*a - 443, -a = -i*x + 1285. What is the tens digit of x? 2 Suppose -7*f + 223 = -2*f - 3*z, -1 = z. Let t = 681 - f. What is the tens digit of t? 3 Let r = 89 - 87. Let y be 382*r*(-3 + 0)/(-6). Suppose -4*g = 3*i - 422 - 129, 3*g - 4*i - y = 0. What is the tens digit of g? 3 Suppose -2*a = 3*t - 76515, -9*a + 11*a + 51010 = 2*t. Suppose 29*u = 4220 + t. What is the units digit of u? 5 Let h(g) = -633*g + 4063. What is the thousands digit of h(-83)? 6 Let z(t) = -t**3 + 11*t**2 + 15*t + 26. Let c(l) = 2*l**3 - 32*l**2 - 44*l - 78. Let i(f) = 6*c(f) + 17*z(f). What is the tens digit of i(-4)? 5 Let j(u) = 6 - 584*u + 14 + 607*u + 5. Let v be j(-5). What is the units digit of 4/(-8)*v/3? 5 Let w = 12795 + -5198. What is the hundreds digit of w? 5 Let x be (-8)/(-4)*113/(-2). Suppose -3*b - 26 = z + 115, z - 2*b = -116. Let m = x - z. What is the units digit of m? 3 Suppose 6*p = 16*p - 13660. Let i = -904 + p. What is the units digit of i? 2 Let y be (24 + -15)*(2 + 7). Suppose 17 + 7 = -q + 2*u, -u = 5*q + 87. Let f = y + q. What is the tens digit of f? 6 What is the tens digit of 2/(-10) - 4346205/(-525) - (-22)/(-77)? 7 Let m(d) = 9*d**3 + 196*d**2 + 33*d + 9. What is the units digit of m(-21)? 3 What is the units digit of (-2 + 50396/(-8))/(312/(-32) + 9)? 2 Let q(a) = -4*a - 41. Let j be q(-10). Let v be ((-1)/2 - j)/((-1)/(-1048)). Suppose -3*u + 2*n = -v, -5*u - 3*n - 403 + 1308 = 0. What is the tens digit of u? 7 What is the tens digit of 320468/52 - 3/78*-4? 6 Suppose -583*g = -562*g - 1324764. What is the ten thousands digit of g? 6 Let n(q) = 94*q**2 + 46*q - 378. What is the units digit of n(6)? 2 Suppose -13*a = 38*a + 7*a - 1235516. What is the units digit of a? 2 Let c be (-129)/(9/3) + 5 - 5. Let n(t) = t**3 + 44*t**2 + 39*t + 76. What is the tens digit of n(c)? 4 Let a(n) = 10*n**2 - 2*n - 3. Let u be a(-1). Let i = 21 - -8. Let v = i - u. What is the units digit of v? 0 Suppose 0 = -4*j + 8*j. Suppose -2*g - 2*z + 550 = j, 3*g + 4*z = 2*z + 823. What is the hundreds digit of g? 2 Suppose -5*z + 204 + 171 = 0. Suppose 0 = 7*j + z + 72. Let i(w) = -w**3 - 21*w**2 - 16*w - 25. What is the units digit of i(j)? 1 Suppose -12*t - 255365 = -33*t + 10*t. What is the thousands digit of t? 3 Suppose -335 = 5*y + 110. Let s = 97 + y. Suppose -s*p + 1253 = -p. What is the tens digit of p? 7 Let l = -142 - -142. Suppose l = -11*d + 1230 + 2048. What is the units digit of d? 8 Let h = 1186 + -1850. Let f = 948 + h. What is the units digit of f? 4 Suppose 5*j = f + f + 1204, 4*f = -4*j + 952. Let d = 389 - j. What is the tens digit of d? 4 Let n(p) = p + 11. Let h be n(-9). Suppose -h*s = 6*s - 152. Let v = s + 78. What is the units digit of v? 7 Suppose -d = -0*d - 2*x - 618, x = -5*d + 3112. Suppose 3*q + 5*l - 172 = 2*q, -2*l = -4*q + d. Suppose -45 = b - q. What is the units digit of b? 2 What is the thousands digit of 60597 + -44 + (-1)/(1 + -2)? 0 Let j(v) = -335*v + 1779. What is the thousands digit of j(-57)? 0 Suppose 156*y + 396320 = 196*y. What is the hundreds digit of y? 9 Let w be 238/17*1/2. Let q be 12/w*(6 - -1). What is the units digit of (q + -9)*70/3? 0 Suppose -2*p = 3*p - 35. Let i be (84/(-63))/((-5)/45). Suppose 0*k - 3*k + i = 0, v - p = -k. What is the units digit of v? 3 Let y = 5780 - -15077. What is the units digit of y? 7 Let a be (2 + -389 + 7)*(-11)/2. Suppose 7*l - a = -494. What is the hundreds digit of l? 2 Let w be (2 - -3) + 4/1. Let o(r) = 38*r - 2. Let z be o(w). Suppose 5*j + 5*j = z. What is the tens digit of j? 3 What is the units digit of 24/(-3)*(-215304)/64? 3 Let h(b) = 19 + 9*b - 10 + b**2 - 13. Let o be h(-9). Let t = o - -5. What is the units digit of t? 1 Let u(d) = 2*d + 10 - d - 9 + 5. Let f be u(0). Suppose f*c = 3*c + 885. What is the units digit of c? 5 Suppose 11*o + 195 - 1207 = 0. Let z be (2/(-4)*-2 - 77)*-2. Let y = z - o. What is the units digit of y? 0 Suppose -x + 2*a = 0, 0 = -3*x - 4*a + 8*a. Suppose -11*j - 4*j + 3840 = x. What is the units digit of j? 6 Let u = -22421 - -45540. What is the thousands digit of u? 3 Let o = -972 - 1824. Let a be (-3)/8 + o/(-32). Suppose a = z - 85. What is the tens digit of z? 7 Let u(x) = 3*x**3 - 3*x**2 - 7. Let t be u(3). Suppose 5*s - t = 13. Let p = s - -9. What is the tens digit of p? 2 Let q = -665 - -671. Suppose 2*u = 2*p - u + 2, 20 = 5*p + 5*u. Suppose 514 = 4*k + p*a, -k - q*a + 151 = -a. What is the hundreds digit of k? 1 Let i(z) = 27*z + 59. Let s be -1*(1 - 1)*11/(-22). What is the tens digit of i(s)? 5 Let w(g) be the first derivative of 57*g**2/2 + 14*g + 6. Let i(u) = -u**2 - 18*u - 14. Let z be i(-17). What is the hundreds digit of w(z)? 1 Let j(k) = 40*k**3 + 19*k**2 - 6*k + 5. What is the hundreds digit of j(3)? 2 Let y be ((-352)/(-48))/(-1*(-2)/516). Suppose 6*z = 4*p + 11*z - y, 0 = -5*p + 2*z + 2398. What is the units digit of p? 8 Let m(y) = -3*y**3 + y**2 + 3*y + 1128. Let g(h) = -11*h + 55. Let o be g(5). What is the tens digit of m(o)? 2 Let d(p) = -15*p - 36*p - 2*p + 14. What is the units digit of d(-4)? 6 Let w(b) = 36*b**2 - 132*b - 161. Let y(t) = 13*t**2 - 44*t - 54. Let q(x) = 3*w(x) - 8*y(x). What is the units digit of q(19)? 7 Let w = -11 - -15. Suppose q - 5 = -4*d - 13, -w*d - 8 = 3*q. What is the units digit of 48 - (-7 - (-6 - d))? 1 Let h be (-8)/(-3*(-4)/(-1584)). Suppose b + h = 2*d, 5*b + 1589 = 3*d + 6*b. What is the hundreds digit of d? 5 Let q be (9/(-6))/(1/(-2)). Suppose -17*c + q*c = -9254. What is the hundreds digit of c? 6 Let j = -93 + 96. Suppose o + h = 268, -8*o + 1340 = -j*o - 2*h. What is the tens digit of o? 6 Let f(q) = q**3 + 91*q**2 - 81*q + 2306. What is the thousands digit of f(-84)? 8 Suppose 55*m + 215534 = 3897894. What is the hundreds digit of m? 9 What is the hundreds digit of (-344)/(2/9 - (-88)/(-234))? 2 Suppose 0 = 3*r + 3*o + 782 + 364, 2*o = -r - 386. Let c = r + 659. What is the hundreds digit of c? 2 Let t = 421 + -374. Suppose -31*x - 7280 = -t*x. What is the tens digit of x? 5 Suppose -37*m - 3 = -38*m. Let z be m/(-21) - (-228)/28. Suppose 118 = -6*l + z*l. What is the units digit of l? 9 Let b be ((-1)/3)/((-6)/(-252)). Let h(u) = -u**3 - 8*u**2 + 27*u + 1. What is the tens digit of h(b)? 9 Let u = 26002 - 12437. What is the hundreds digit of u? 5 Suppose 18*a + 3*a = 39*a - 402552. What is the units digit of a? 4 Suppose 4*v = -3*n + 2728, 4 = 23*v - 19*v. Let p = n + -566. What is the hundreds digit of p? 3 Let z(y) = y**3 - 35*y**2 - 71*y + 143. What is the hundreds digit of z(38)? 7 Suppose 3*z - 53 = -4*j, -2*z - 35 - 26 = -3*j. Suppose -j*n = 10*n - 5832. What is the hundreds digit of n? 2 Let x =
{ "pile_set_name": "DM Mathematics" }
-2*z + 1. Let x(l) = 10*l - 22. Calculate -c(w) - x(w). -8*w + 21 Let w(b) = b**3 + 2*b**2 + 2. Let v(z) = z**3 - 21*z**2 + z + 6. Determine -v(l) + 2*w(l). l**3 + 25*l**2 - l - 2 Let j(z) = -6*z**2 - 14*z + 32. Let i(d) = -2*d**2 - 5*d + 11. Let c(g) = -23*g + 63. Let w be c(3). Give w*j(q) + 17*i(q). 2*q**2 - q - 5 Let v(i) = -5*i - 2. Let g(x) = -x**2 + x + 18. Let w be g(0). Let n = w - 14. Let u(q) be the first derivative of -3*q**2 - 3*q + 6. Give n*u(h) - 5*v(h). h - 2 Let z(x) = -15*x**2 + 2*x - 2. Let y(m) = -13*m**2 + m - 2. Let u(r) = 4*y(r) - 3*z(r). Let o(b) = 7*b**2 + 3*b + 2. Give 2*o(q) + 3*u(q). -7*q**2 - 2 Let x(t) = -4*t + 3. Let n be (0/1 - 1)*(-2)/1. Let r be (3 - n)/1 - -4. Let l(p) = 7*p - 5. Calculate r*x(f) + 3*l(f). f Let x(c) = 3 + 130466*c**2 - 4*c - 7 - 130476*c**2. Let u(l) = -110*l**2 - 45*l - 45. What is -4*u(w) + 45*x(w)? -10*w**2 Suppose -3*s + s = u, -3*u = 2*s - 8. Suppose 18*n = 14*n - u. Let t(q) = q**2 - q. Let f(y) = 3*y**2 - 6*y. Determine n*f(a) + 4*t(a). a**2 + 2*a Let q(d) = 2*d - 408. Let l(p) = -3*p + 819. What is -4*l(h) - 7*q(h)? -2*h - 420 Let y(v) = 25*v + 17. Let p(n) = -3*n - 2. Let i(d) = -51*p(d) - 6*y(d). Let b(k) = 15*k. Suppose -282 = 16*f - 106. Give f*i(w) + 2*b(w). -3*w Let c(o) = o**3 - 3. Let a(s) = -1. Let p = -126 - -125. Determine p*c(m) + a(m). -m**3 + 2 Let j(o) be the third derivative of o**4/8 + o**2. Suppose 4*h + 0 - 16 = 0. Let d(r) = r - 2*r + h*r. What is 7*d(l) - 6*j(l)? 3*l Let s(w) = -35*w**3 + 9*w**2. Let v(d) = 17*d**3 - 4*d**2. Let j be (-5)/(-2)*(-32)/20. Give j*s(g) - 9*v(g). -13*g**3 Let p(d) = 62*d**3 + 2*d**2 + 2*d. Let u(l) = -6696*l**3 - 217*l**2 - 217*l. Calculate -651*p(x) - 6*u(x). -186*x**3 Let q = -4 - -6. Let t(c) be the third derivative of -c**3/3 + 8*c**2. Let l(i) = -5. Let f(a) = 3*l(a) - 8*t(a). Let w(b) = b + 4. Give q*w(x) - 7*f(x). 2*x + 1 Let q(m) = -m**2 + 4*m. Let f(d) = -3*d. Let h = 13 + -13. Suppose h = 5*t + 7 + 8. Let n be (-12)/12*1*2. What is n*q(w) + t*f(w)? 2*w**2 + w Let y(u) = -3*u**2 + 12 - 103*u + 103*u. Let o(d) = -d**2 + 4*d + 9. Let b(k) = k + 1. Let f(w) = -4*b(w) + o(w). Determine -12*f(a) + 5*y(a). -3*a**2 Let i(d) = 80*d**3 + 5*d**2 + d. Let g(n) = -161*n**3 - 11*n**2 - 2*n. What is 4*g(h) + 9*i(h)? 76*h**3 + h**2 + h Let l(c) = 135*c - 13. Let n(j) = 2*j + 2. What is l(o) + 6*n(o)? 147*o - 1 Let x(d) = d + 1. Let a(t) = -65*t + 10. Calculate 2*a(f) - 18*x(f). -148*f + 2 Let l(r) = -r - 1. Let k(x) be the second derivative of -x**5/20 - x**4/12 - 2*x**3/3 - 2*x**2 - 23*x - 2. Determine -3*k(d) + 12*l(d). 3*d**3 + 3*d**2 Let b(g) = -7*g**3 - g - 3. Let j(f) = -12*f**3 - f - 5. Give -5*b(l) + 3*j(l). -l**3 + 2*l Let u(o) = 27*o**2 + o - 5. Let i(t) = 14*t**2 + t - 2. Calculate -5*i(b) + 2*u(b). -16*b**2 - 3*b Let w(n) = 5*n**3 + 3*n**2 + 2. Let j(t) be the third derivative of -7*t**6/60 - 2*t**5/15 - 5*t**3/6 + 5*t**2 + 36. What is 3*j(m) + 8*w(m)? -2*m**3 + 1 Let a(v) = 5*v**3 + 21*v**2 - 9. Let b(w) = 2*w**3 + 6*w**2 - 3. Give 2*a(u) - 7*b(u). -4*u**3 + 3 Let t(l) = -5*l**2 + 3*l - 6. Suppose -34*j + 43*j - 36 = 0. Let d(u) = 6*u**2 - 3*u + 7. What is j*d(b) + 5*t(b)? -b**2 + 3*b - 2 Let c(a) = -17*a**3 - 2*a**2 + 4*a + 11. Let o(r) = 8*r**3 + r**2 - 2*r - 6. Determine -6*c(p) - 11*o(p). 14*p**3 + p**2 - 2*p Let x(p) = p**2 - p + 1. Let m(c) = 2*c**3 + 2*c**2 - c + 4. Let v(y) = y**3 + 2*y**2 - 3*y + 1. Let d be v(0). Give d*m(t) - 2*x(t). 2*t**3 + t + 2 Let p(f) = -f**3 - 8*f + 1. Let b be 6/11 - (832/143)/(-4). Let o(q) = -4*q**3 - 33*q + 5. Calculate b*o(g) - 9*p(g). g**3 + 6*g + 1 Let z(u) = -u**2 - 16*u - 16. Let g be z(-15). Let x(i) = -11*i + 0*i + 1 - i**2 + 11*i. Let v(k) = -3*k**2 + 2. Give g*v(n) + 2*x(n). n**2 Suppose 0 = 2*a + 5*j - 17, -4*a + 29 = -3*j + 8*j. Let u(d) = -8*d + 3. Let n(p) = 3 - 130*p - 387*p + 508*p. Give a*n(o) - 7*u(o). 2*o - 3 Let h(t) = 13*t**3 - 11*t**2 - 3*t - 9. Let r(q) = -6*q**3 + 6*q**2 + 2*q + 4. Determine -4*h(b) - 9*r(b). 2*b**3 - 10*b**2 - 6*b Let d(f) = f**2 + 2*f - 1. Let n(p) = -4*p**2 - 11*p + 6. Let t be (-2)/(-8) - (-12)/(-48) - 11. Determine t*d(a) - 2*n(a). -3*a**2 - 1 Let s(v) = -v**2 - 1. Let y(c) = 11*c + 89. Let h be y(-8). Let u(a) = 6*a**2 - 2. Calculate h*u(r) - 2*s(r). 8*r**2 Let m = 5 - -1. Suppose -4 = 4*k - 3*c, -m*c + c + 28 = 4*k. Let o(r) = -r**2 - 2*r. Let q(v) = -4*v + 0*v + v**2 + 8*v. Determine k*q(f) + 5*o(f). -3*f**2 - 2*f Suppose 3*p = 5*r + 31, -15 = -r + 4*r. Let t(n) = -6 + 2*n + 7 - 3 + p*n. Let b(d) = -21*d + 11. Give 2*b(q) + 11*t(q). 2*q Let s(x) = x**2 + 4*x + 9. Let d(i) = 4*i + 9. What is -4*d(c) + 3*s(c)? 3*c**2 - 4*c - 9 Let t(w) = -5*w**2 - 6*w. Let q(x) = x**2 - 54. Let s be q(7). Let i(j) = 4*j**2 + 5*j. Give s*t(h) - 6*i(h). h**2 Let x(u) = u**2 - 1. Let w(f) = 8*f**2 - 5. Suppose -4*r + 5*s = -26, -1 = -r + 3*s + 9. What is r*x(i) - w(i)? -4*i**2 + 1 Let d(k) = 7*k. Let i(b) = -b. Suppose 5*t - 4*r = 3, -t - r = -0*t + 3. Give t*d(s) - 2*i(s). -5*s Suppose -3*d + 5*w = -2, -2*d = 5*w - 3 - 15. Let r(n) = n + 1. Let t(x) = 5*x + 11. Determine d*r(f) - t(f). -f - 7 Let k(p) = 44*p**3 - 24*p**2. Let j(t) = -t**3 + t**2. Calculate 24*j(u) + k(u). 20*u**3 Let g(w) = 2*w - 2 + 3 + 2. Suppose 4*m = -0*m + 4. Let i(h) = -10*h - 4 - 4 - m - 5. Give 14*g(y) + 3*i(y). -2*y Let x(a) = a + 3. Let o(k) = -20 - 2*k + 4*k + 23. Let h = 3 + -1. Calculate h*o(m) - 3*x(m). m - 3 Let z(v) = 7*v + 4. Let q(g) = -6*g - 3. Let n be (6/(-5))/((-3)/(-10)*1). Give n*z(c) - 5*q(c). 2*c - 1 Let w(l) = -8*l**3 - 13*l**2 + 3*l. Let z(g) = -17*g**3 - 26*g**2 + 5*g. What is -5*w(h) + 3*z(h)? -11*h**3 - 13*h**2 Let j(k) = k**3 + 2*k**2 + k. Let a(l) = 5*l**3 + 69*l**2 + 6*l + 1. Calculate a(c) - 6*j(c). -c**3 + 57*c**2 + 1 Let r be ((-3)/(-2))/((-3)/(-4)). Let t(a) = -4*a - 58. Let p(f) = f + 11. Let x(j) = 5*p(j) + t(j). Let s(q) = 2*q - 7. Determine r*s(c) - 5*x(c). -c + 1 Let y(m) be the first derivative of -m**2/2 + 1039. Let f(p) = -7*p. Calculate -f(v) - 3*y(v). 10*v Let q(m) = 3*m**2 + m - 2. Let y = 6 + -7. Let v(u) = -u - 1. Let r(x) = -x**2 - 3*x - 3. Let g(k) = -r(k) + 4*v(k). Determine y*g(d) + q(d). 2*d**2 + 2*d - 1 Let i(q) = q - 5. Let t = 9 - 7. Suppose -2*z = -5 + 7. Let k be (z - t)*(-35)/21. Let h(w) = w - 6. Give k*i(d) - 4*h(d). d - 1 Let t(k) = -3*k - 7. Suppose -s = 2*v + 7, v - s + 1 = s. Let p be (-1 - v)*15/6. Suppose -2*j + 22 = 16. Let r(f) = 2*f + 4. Calculate j*t(y) + p*r(y). y - 1 Let s(u) be the second derivative of u**3 - 13*u**2/2 - u. Let b(f) = -3*f + 6. Let d be (49/147)/((-2)/36). Determine d*s(a) - 13*b(a). 3*a Let p(z) = -2*z**2 + 4*z - 78. Let f(i) = -i - 2. What is -4*f(j) - p(j)? 2*j**2 + 86 Let s(p) = 6*p**3 + 3*p**2 - 5*p**2 - 99 + 101. Let d(g) = 6*g**3 - 3*g**2 + 3. Calculate -2*d(q) + 3*s(q). 6*q**3 Let l(j) be the third derivative of -j**4/24 - j**3/6 + 62*j**2. Let z(f) = -2*f**3 + 12*f + 12. Calculate 10*l(t) + z(t). -2*t**3 + 2*t + 2 Let m(f) = -f**2 + 1. Suppose -2*l = -4*q - 12, -5*l + 88 = 4*q - 12. Suppose l - 8 = 8*y. Let d(s) = -s**2 + 1. Determine y*d(c) + m(c). -2*c**2 + 2 Let w(v) = -156*v - 4. Let i(f) = 3*f - 1. What is 5*i(q) - w(q)? 171*q - 1 Let w(s) = -s**2 + 11*s - 12. Let r be w(10). Let k(d) = d - 1. Let u(t) = -8 - 3 - 1 + 4 + 9. What is r*k(h) - u(h)? -2*h + 1 Let s(z) = -58*z**2 - 8*z - 3. Let j(h) = 3*h + 1. What is -3*j(i) - s(i)? 58*i**2 - i Let z(d) = -5*d**2 - d + 3. Let s(c) = 14*c**2 + 2*c - 8. Calculate 4*s(p) + 11*z(p). p**2 - 3*p + 1 Let o(n) = n**3 - 7*n + 1. Let t(b) = b**3 - 3*b + 1. Calculate -2*o(l) + 5*t(l). 3*l**3 - l + 3 Let s(p) = 16*p**3 + 9*p**2 - 7*p + 7. Let i(g) = 7*g**3 + 4*g**2 - 3*g + 3. Let l(y) = 9*i(y) - 4*s(y). Let d(h) = 7*h**3 + 5*h - 4. Give d(n) - 4*l(n). 11*n**3 + n Let r(b) be the first derivative of -3*b**4/4 + 5*b**3/3 - 4*b - 1. Let f(q) be the second derivative of q**5/20 - q**4/12 + q**2/2 - 22*q. Give 4*f(s) + r(s). s**3 + s**2 Let m(g) = -7*g - 7. Let r(z) = 5*z + 6. What is 2*m(x) + 3*r(x)? x + 4 Let r(c) = 4*c**3 - 3*c**3 - 30*c - 4 + 2*c**3 + 37*c. Let s = -9 + 13. Let v(k) = k**3 + 2*k - 1. What is s*r(b) - 14*v(b)? -2*b**3 - 2 Let s(u) = 39*u**2 - 26*u. Let h(q) = -q + 21*q**2 + 17*q**2 + 2*q - 39*q**2 + 0*q. What is -26*h(v) - s(v)? -13*v
{ "pile_set_name": "DM Mathematics" }
4*a + 1211 What is the g'th term of 89, 1297, 3305, 6113, 9721, 14129, 19337? 400*g**2 + 8*g - 319 What is the y'th term of -85, 399, 2033, 5393, 11055, 19595, 31589? 96*y**3 - y**2 - 185*y + 5 What is the a'th term of 40731, 40903, 41079, 41259, 41443? 2*a**2 + 166*a + 40563 What is the g'th term of 200791, 802884, 1806281, 3210982, 5016987, 7224296, 9832909? 200652*g**2 + 137*g + 2 What is the r'th term of 188, -490, -1660, -3328, -5500, -8182, -11380? -r**3 - 240*r**2 + 49*r + 380 What is the n'th term of -82309, -164055, -245801, -327547, -409293, -491039? -81746*n - 563 What is the a'th term of -287148, -287699, -288612, -289881, -291500? a**3 - 187*a**2 + 3*a - 286965 What is the x'th term of -9987, -79821, -269403, -638607, -1247307, -2155377, -3422691? -9979*x**3 + 19*x - 27 What is the a'th term of 378, 4474, 15568, 37152, 72718, 125758, 199764? 582*a**3 + 7*a**2 + a - 212 What is the m'th term of 22874, 49879, 76884? 27005*m - 4131 What is the m'th term of -12111264, -24222491, -36333712, -48444927, -60556136, -72667339? 3*m**2 - 12111236*m - 31 What is the m'th term of 11923, 26704, 41485? 14781*m - 2858 What is the v'th term of 29731, 29671, 29577, 29455, 29311, 29151, 28981, 28807? v**3 - 23*v**2 + 2*v + 29751 What is the h'th term of -6669, -12252, -17841, -23442, -29061, -34704, -40377, -46086? -h**3 + 3*h**2 - 5585*h - 1086 What is the z'th term of 170736, 170885, 171034, 171183, 171332, 171481? 149*z + 170587 What is the t'th term of 65, -57, -301, -685, -1227, -1945, -2857? -3*t**3 - 43*t**2 + 28*t + 83 What is the p'th term of 12292, 21594, 30896, 40198? 9302*p + 2990 What is the k'th term of 126821, 126819, 126815, 126809, 126801, 126791? -k**2 + k + 126821 What is the a'th term of -185, 617, 1961, 3847, 6275, 9245? 271*a**2 - 11*a - 445 What is the d'th term of -3288629, -6577262, -9865897, -13154534, -16443173, -19731814, -23020457? -d**2 - 3288630*d + 2 What is the j'th term of 44, 471, 940, 1451, 2004, 2599? 21*j**2 + 364*j - 341 What is the o'th term of 8283848, 8283811, 8283774, 8283737, 8283700, 8283663? -37*o + 8283885 What is the n'th term of 353286, 353074, 352862, 352650, 352438, 352226? -212*n + 353498 What is the d'th term of -6065, -6512, -6959, -7406, -7853? -447*d - 5618 What is the f'th term of -3651, -14375, -32231, -57219, -89339, -128591? -3566*f**2 - 26*f - 59 What is the p'th term of -17757, -141354, -476825, -1130106, -2207133, -3813842? -17656*p**3 - p**2 - 2*p - 98 What is the l'th term of -74300, -148374, -222448, -296522, -370596, -444670? -74074*l - 226 What is the q'th term of -469392, -938780, -1408168, -1877556, -2346944? -469388*q - 4 What is the v'th term of 4109, -2130, -12529, -27088, -45807, -68686? -2080*v**2 + v + 6188 What is the a'th term of -258, -814, -1438, -1896, -1954, -1378, 66? 39*a**3 - 268*a**2 - 25*a - 4 What is the b'th term of -37872667, -75745333, -113617999, -151490665? -37872666*b - 1 What is the c'th term of -48012, -47868, -47628, -47292, -46860, -46332? 48*c**2 - 48060 What is the p'th term of -9108, -10448, -11786, -13122, -14456? p**2 - 1343*p - 7766 What is the q'th term of -189, -1403, -4643, -10923, -21257, -36659? -169*q**3 + q**2 - 34*q + 13 What is the n'th term of 167354, 167315, 167276, 167237? -39*n + 167393 What is the p'th term of 242391, 483920, 725449? 241529*p + 862 What is the r'th term of -355, -1752, -3341, -5122, -7095? -96*r**2 - 1109*r + 850 What is the n'th term of -576, -1585, -2594, -3603, -4612? -1009*n + 433 What is the c'th term of -3414319, -3414484, -3414649, -3414814? -165*c - 3414154 What is the r'th term of -477009, -477241, -477487, -477753, -478045? -r**3 - r**2 - 222*r - 476785 What is the o'th term of 7580, 30168, 67824, 120554, 188364, 271260? o**3 + 7528*o**2 - 3*o + 54 What is the j'th term of 4212, 9266, 14310, 19338, 24344? -j**3 + j**2 + 5058*j - 846 What is the u'th term of 45437460, 45437464, 45437470, 45437478, 45437488, 45437500? u**2 + u + 45437458 What is the d'th term of 6538, 14033, 21528, 29023, 36518? 7495*d - 957 What is the t'th term of 19271194, 38542386, 57813578, 77084770? 19271192*t + 2 What is the f'th term of -1518, -5894, -13130, -23220, -36158, -51938, -70554, -92000? f**3 - 1436*f**2 - 75*f - 8 What is the g'th term of 963528, 1927053, 2890578, 3854103? 963525*g + 3 What is the x'th term of -182018513, -182018504, -182018495? 9*x - 182018522 What is the o'th term of -5081, -19890, -44417, -78662, -122625, -176306, -239705? -4859*o**2 - 232*o + 10 What is the o'th term of -27886, -27562, -27022, -26266, -25294? 108*o**2 - 27994 What is the f'th term of -6846, -15632, -30276, -50778, -77138? -2929*f**2 + f - 3918 What is the s'th term of -8002310, -8002309, -8002308? s - 8002311 What is the b'th term of 1285, 907, 869, 1177, 1837, 2855? b**3 + 164*b**2 - 877*b + 1997 What is the l'th term of 1091, 9460, 32163, 76364, 149227, 257916, 409595? 1194*l**3 + 3*l**2 + 2*l - 108 What is the v'th term of -98, 138, 716, 1636, 2898, 4502? 171*v**2 - 277*v + 8 What is the d'th term of 87600, 175186, 262772, 350358, 437944? 87586*d + 14 What is the y'th term of 28517993, 57035990, 85553989, 114071990, 142589993, 171107998? y**2 + 28517994*y - 2 What is the k'th term of 23502, 58088, 92674, 127260? 34586*k - 11084 What is the u'th term of -401469, -401507, -401577, -401685, -401837, -402039, -402297? -u**3 - 10*u**2 - u - 401457 What is the d'th term of 392703217, 785406437, 1178109647, 1570812841, 1963516013, 2356219157, 2748922267, 3141625337? -d**3 + d**2 + 392703224*d - 7 What is the q'th term of -5998, -11919, -17778, -23545, -29190, -34683? 5*q**3 + q**2 - 5959*q - 45 What is the c'th term of -393151, -393187, -393223, -393259, -393295, -393331? -36*c - 393115 What is the u'th term of 11756071, 11756074, 11756077, 11756080, 11756083? 3*u + 11756068 What is the u'th term of -18714, -34618, -50522, -66426, -82330? -15904*u - 2810 What is the c'th term of 1729, 2406, 3083, 3760, 4437? 677*c + 1052 What is the q'th term of -30562, -61990, -93420, -124852? -q**2 - 31425*q + 864 What is the a'th term of 196906, 393747, 590588, 787429? 196841*a + 65 What is the l'th term of -1505815, -1506074, -1506333, -1506592, -1506851? -259*l - 1505556 What is the l'th term of -1137, -2119, -3017, -3789, -4393, -4787, -4929? 7*l**3 - 1031*l - 113 What is the i'th term of -2401930, -4803822, -7205714? -2401892*i - 38 What is the z'th term of 291, 2523, 8405, 19707, 38199, 65651? 295*z**3 + 55*z**2 + 2*z - 61 What is the n'th term of 174119, 175705, 177293, 178883? n**2 + 1583*n + 172535 What is the g'th term of 525031606, 525031608, 525031612, 525031618, 525031626, 525031636, 525031648? g**2 - g + 525031606 What is the h'th term of 2532628, 2532654, 2532690, 2532742, 2532816? h**3 - h**2 + 22*h + 2532606 What is the m'th term of -387853, -387860, -387873, -387892, -387917, -387948, -387985? -3*m**2 + 2*m - 387852 What is the w'th term of 5590, 10169, 14748, 19327, 23906? 4579*w + 1011 What is the b'th term of -551989, -1104037, -1656151, -2208331? -33*b**2 - 551949*b - 7 What is the b'th term of 134906, 135192, 135474, 135752, 136026? -2*b**2 + 292*b + 134616 What is the s'th term of 19950122, 19950142, 19950162, 19950182? 20*s + 19950102 What is the w'th term of 117818, 229028, 340238? 111210*w + 6608 What is the m'th term of 24235, 28300, 32365, 36430, 40495? 4065*m + 20170 What is the r'th term of -314109, -314100, -314091, -314082, -314073, -314064? 9*r - 314118 What is the r'th term of 18431, 23551, 37445, 64499, 109099, 175631, 268481, 392035? 731*r**3 + r**2 + 17699 What is the i'th term of 1776167, 1776142, 1776117, 1776092? -25*i + 1776192 What is the g'th term of 30843, 30757, 30667, 30573, 30475, 30373? -2*g**2 - 80*g + 30925 What is the a'th term of -533262, -533269, -533278, -533289? -a**2 - 4*a - 533257 What is the r'th term of 5175663, 5175665, 5175667? 2*r + 5175661 What is the b'th term of -49862792, -99725588, -149588384? -49862796*b + 4 What is the c'th term of 640, 1246, 1702, 2008, 2164? -75*c**2 + 831*c - 116 What is the o'th term of 8869, 16072, 23275, 30478, 37681, 44884? 7203*o + 1666 What is the t'th term of 4343524, 4343525, 4343524, 4343521, 4343516? -t**2 + 4*t + 4343521 What is the r'th term of -1250
{ "pile_set_name": "DM Mathematics" }
3 Collect the terms in -2*t + 189 - 189 - 2*t + t. -3*t Collect the terms in 1610 + 10*p - 3218 + 1608. 10*p Collect the terms in 68*o - 31*o + 12*o**2 - 37*o. 12*o**2 Collect the terms in -30*k**2 - 68*k**2 - 145*k**2. -243*k**2 Collect the terms in 40*g**2 - 19*g**2 - 2*g - 23*g**2 + 2*g. -2*g**2 Collect the terms in 294*i - 96*i - 106*i - 93*i. -i Collect the terms in 21*g**2 + 180*g - 104*g - 76*g. 21*g**2 Collect the terms in -128*a + 2*a**2 + 34*a - 5 - 1. 2*a**2 - 94*a - 6 Collect the terms in 967 - 8*c**2 - 967. -8*c**2 Collect the terms in 2 - 3*i**2 - 6 + 4. -3*i**2 Collect the terms in 0*o + 0*o + 2*o - 1 - 5*o. -3*o - 1 Collect the terms in 10*t**3 + 9*t**3 - 8*t**3. 11*t**3 Collect the terms in -r**3 - 20*r**3 + 12*r**3 + 12*r**3. 3*r**3 Collect the terms in 38*x - 13*x - 17*x - 12*x. -4*x Collect the terms in -381*v**2 + 2*v + 13*v**3 + 381*v**2 - 2*v. 13*v**3 Collect the terms in -3*i**2 - 9*i**2 + 4*i**2 - 6*i**2. -14*i**2 Collect the terms in 772 - 772 - i. -i Collect the terms in 476*a**2 - 233*a**2 - 240*a**2. 3*a**2 Collect the terms in 50*b**3 - 49*b**3 - 42*b + 246*b. b**3 + 204*b Collect the terms in 3*u**2 - 1 + 19*u**2 + 1. 22*u**2 Collect the terms in -3 + 3 - 21*r**3 + 0. -21*r**3 Collect the terms in 15 - 4*x**3 - 7 - 8. -4*x**3 Collect the terms in 64*v**3 - 188*v**3 + 61*v**3 + 65*v**3. 2*v**3 Collect the terms in 0 + 1 - 1 - 284*a. -284*a Collect the terms in -98*t**3 - 69*t**3 + 61*t**3. -106*t**3 Collect the terms in 12 - 16*w**2 - 12. -16*w**2 Collect the terms in 5*o - 4*o - o - 7*o**3. -7*o**3 Collect the terms in 0*n**2 + 2*n**2 - n**2 - 6*n**2. -5*n**2 Collect the terms in -2*b + 2*b - 284*b**2 + 77*b**2. -207*b**2 Collect the terms in 5*a + 2*a + 2*a + 20*a. 29*a Collect the terms in 40*q**3 + 34*q**3 + 136*q**3. 210*q**3 Collect the terms in 132*c**2 - 67*c**2 - 65*c**2 - 2*c**3. -2*c**3 Collect the terms in -1942*i**3 + 1925*i**3 - i**2 + i**2. -17*i**3 Collect the terms in -13*c**2 + 14 - 14. -13*c**2 Collect the terms in 0 - 1 - 13*q - 2 + 1. -13*q - 2 Collect the terms in 0*m + m - m - 394*m**2. -394*m**2 Collect the terms in -154*p**2 - 33*p**2 - 57*p**2. -244*p**2 Collect the terms in 9*j**2 + 159 - 159. 9*j**2 Collect the terms in -44*k + 61*k - 3*k**3 + 4*k**3 - 40*k. k**3 - 23*k Collect the terms in 262*k**2 - 85*k**2 - 85*k**2 - 94*k**2. -2*k**2 Collect the terms in -25*k + 20*k + 4*k. -k Collect the terms in 79*l**2 + 85*l**2 - 169*l**2. -5*l**2 Collect the terms in -15*q**2 - 6*q**2 - 2*q**2. -23*q**2 Collect the terms in -3 + 3 + 758*j. 758*j Collect the terms in 3 - 21 + 2*m**2 - 5. 2*m**2 - 23 Collect the terms in 23*p**2 + 79*p - 25*p**2 - 50*p - 29*p. -2*p**2 Collect the terms in -b**2 - 10*b**2 - 7*b**2 + 13*b**2. -5*b**2 Collect the terms in -1 + 303*n + 1. 303*n Collect the terms in 22 + 0 - 8 + 3*b**2. 3*b**2 + 14 Collect the terms in -63*q**2 + 10*q**3 + 63*q**2. 10*q**3 Collect the terms in -4 - 5*t + 62 + 3*t. -2*t + 58 Collect the terms in 12 - 20 + 8 - y. -y Collect the terms in -7*t**2 + 23*t**2 - 2*t - 14*t**2 - t. 2*t**2 - 3*t Collect the terms in 3*v - 3*v - 18 - 18*v**2 + 15*v**2. -3*v**2 - 18 Collect the terms in 14*f - 10*f - 6*f. -2*f Collect the terms in -7*d + 2*d + 534574 - 534574. -5*d Collect the terms in -3*w - 3*w + w - 2*w. -7*w Collect the terms in -19*h**3 + 6*h**3 + 5*h**3 - 19*h**3. -27*h**3 Collect the terms in -10 - 9 - 16*n + 3. -16*n - 16 Collect the terms in -175*d**2 + 93*d**2 + 87*d**2. 5*d**2 Collect the terms in -3*a**2 + 10*a**3 + 3*a**2 + 17*a**3. 27*a**3 Collect the terms in -14*l**2 + 462 - 462. -14*l**2 Collect the terms in -451 - 485 + 5*w + 936. 5*w Collect the terms in -5*w - 3*w - w. -9*w Collect the terms in -2*s + 3*s**3 + 0*s**2 + 0*s**2. 3*s**3 - 2*s Collect the terms in 531*a - 531*a + 12*a**2. 12*a**2 Collect the terms in -17*y + 8*y + 15*y. 6*y Collect the terms in m**2 + 2*m**2 + 2*m**2 + 2*m**2. 7*m**2 Collect the terms in 29*g - 2 + 2 - 30*g. -g Collect the terms in -366*v + 92*v + 92*v + 91*v + 92*v. v Collect the terms in 2 - 4 + 1 + 105*k. 105*k - 1 Collect the terms in -26*g**3 - 12 + 12 + 19*g**3. -7*g**3 Collect the terms in 16*l + 19*l + 14*l - 47*l. 2*l Collect the terms in -b**3 + 0*b**3 - 11*b**3 + b**3. -11*b**3 Collect the terms in 112*d - 60*d - 53*d. -d Collect the terms in 58*t**2 + 6 - t + t - 57*t**2. t**2 + 6 Collect the terms in 30090*a**3 - 15048*a**3 - 15047*a**3. -5*a**3 Collect the terms in 4*a - 6*a + 3*a. a Collect the terms in -14*h - 20*h - 14*h + 63*h - 13*h. 2*h Collect the terms in 0*q - q + q - q. -q Collect the terms in -8*k**3 - 5*k**3 - 11*k**3 - 15*k**3. -39*k**3 Collect the terms in 102*y - 27*y**2 - 102*y + 31*y**2. 4*y**2 Collect the terms in 0*v - 8*v - 17*v. -25*v Collect the terms in -18 + n + 19 - 1 + 3*n. 4*n Collect the terms in -5*h**2 + 378*h - 378*h. -5*h**2 Collect the terms in -4*y**3 + 11*y**3 - 37*y**3. -30*y**3 Collect the terms in -5*b**2 - 245*b + 119*b + 126*b. -5*b**2 Collect the terms in 18*l - 4*l**2 + 0*l**2 + 7*l**2. 3*l**2 + 18*l Collect the terms in 43*k - 38 + 38. 43*k Collect the terms in 5*q**2 - 70 + 44 - 4*q**2. q**2 - 26 Collect the terms in 20*f + f + 36*f + 1 - 1. 57*f Collect the terms in -20*g**3 + 66*g**3 + 14*g**3. 60*g**3 Collect the terms in -8*g + 7*g + 0*g + 16*g**2 + 4*g. 16*g**2 + 3*g Collect the terms in 5*g + 20*g**3 - 5*g - 9*g**3. 11*g**3 Collect the terms in -105 + 105 - g. -g Collect the terms in 4*c - 15 + 15. 4*c Collect the terms in 4*c**2 - 7*c**2 + 0*c**2. -3*c**2 Collect the terms in -48*s + 28*s + 23*s. 3*s Collect the terms in 35*b**2 - 20*b**2 - 17*b**2. -2*b**2 Collect the terms in -8 + 7435*b**3 + 8 - 7436*b**3. -b**3 Collect the terms in -386*h + 756*h - 370*h - 2*h**3. -2*h**3 Collect the terms in -5*g**2 + 10*g**2 - 6*g - 7*g**2. -2*g**2 - 6*g Collect the terms in 315*l - 116*l - 105*l - 100*l. -6*l Collect the terms in 113*u**3 + 103*u**3 - 324*u**3 + 115*u**3. 7*u**3 Collect the terms in -13*t + 8*t - 18*t - 47. -23*t - 47 Collect the terms in 17*m - 29*m + 9*m. -3*m Collect the terms in -j - 11813 + 11813. -j Collect the terms in 0 + 0 + 1103*a**2. 1103*a**2 Collect the terms in 245*q**2 - 135*q**2 - 120*q**2. -10*q**2 Collect the terms in -g + 0*g - 12*g - 8*g. -21*g Collect the terms in 4*c + 6*c + 5*c. 15*c Collect the terms in -25*r + 22*r - 11*r - 16*r. -30*r Collect the terms in -5 + 34*u + 5. 34*u Collect the terms in 3*h + 13 - 13. 3*h Collect the terms in -3*j**3 - 9*j**3 - 2*j**3 + 6*j**3. -8*j**3 Collect the terms in -5610950 + c + 5610950. c Collect the terms in 458*p**2 - 229*p**2 - 234*p**2. -5*p**2 Collect the terms in -28*u**2 + 28*u**2 - 7*u**3. -7*u**3 Collect the terms in -i**2 - 7*i**2 - 13*i**2. -21*i**2 Collect the terms in 10*c**2 - 4*c**2 + 366 - 366. 6*c**2 Collect the terms in 6 - 2 - 4 - 10*x - 5*x**3. -5*x**3 - 10*x Collect the terms in 1319*r**2 + 225*r**2 + 1329*r**2 - 611*r**2. 2262*r**2 Collect the terms in c + 7*c + 1 - 1 - 10*c. -2*c Collect the terms in -16 - 2023*v**2 + 2024*v**2 + 29 - 13. v**2 Collect the terms in -31 + 19 + 14*g + 12. 14*g Collect the terms in 294*j**2 + 300*j**2 + 294*j**2 - 887*j**2. j**2 Collect the terms in -f**3 + 956151*f - 956151*f. -f**3 Collect the terms in -283*s + 3*s**2 + 283*s. 3*s**2 Collect the terms in 3 - 132*r**2 - 3 + 77*r**2 + 52*r**2. -3*r**2 Collect the terms in -157*g**3 - 152*g**3 + 308*g**3. -g**3 Collect the terms in a**2 + 20 + 125 + 5*a**2 - 5*a**2. a**2 + 145 Collect the terms in 117*d**2 + 2 + 69*d**2 - 2. 186*d**2 Collect the terms in 105*p - 176*p - 220*p + 2. -291*p + 2 Collect the terms in 9*p - 7*p - 2*p + 11*p. 11*p Collect the terms in -11*d - 168*d - 54*d. -233*d Collect the terms in -2970 - 62*w**2 + 2970. -62*w**2 Collect the terms in 0 + 2 + 18*c**2 - 5. 18*c**2 - 3 Collect the terms in -1645*i - 232*i - 2443*i. -4320*i Collect the terms in -3*u - 4*u + 6*u. -u Collect the terms in 51*f**3 + 4 - 4. 51*f**3 Collect the terms in -4*l + 23*l - 18*l. l Collect the terms in -8*o - 3*o + 7*o + 7*o. 3*o Collect the terms in -42*g**3 + 25*g**3 + 15*g**3. -2*g**3 Collect the terms in -32*u**2 + 33*u**2 + 6*u**3 - u**2. 6*u**3 Collect the terms in -288*i**3 + 29*i**3 - 142*i**3. -401*i**3 Collect the terms in -x**2 + 48 + 43 - 91. -x**2 Col
{ "pile_set_name": "DM Mathematics" }
five decimal places? -0.00011 Let r(y) = 6*y - 4. Let c(b) = -5*b + 4. Let q(z) = 5*c(z) + 4*r(z). Let f be q(6). Let i be (-97)/2 + (-1)/f. Round i to the nearest ten. -50 Let s be 76000 + 0/(6/(-2)). What is s rounded to the nearest 10000? 80000 Let a = 16 - 15.987. Let c = 0.01 - a. Round c to three decimal places. -0.003 Let s(c) = 2*c**2 - 4. Let r be s(2). Suppose r*m - 9799996 = 2*w - 0*m, 0 = 3*w - 5*m + 14699995. Round w to the nearest 1000000. -5000000 Suppose -m - 1046 = -2*m + 2*n, 0 = n - 2. Suppose 0*b - 3*b - m = 0. What is b rounded to the nearest 100? -400 Let a = 228.7 - -16.3. Let w = a + -131. Let d = w - 113.9999937. What is d rounded to six dps? 0.000006 Let o = -2.51564264 + -1.484358. Let a = 4 + o. What is a rounded to 7 decimal places? -0.0000006 Let m = 7 - 5.4. What is m rounded to the nearest integer? 2 Let l = -23 + 22.964. Let u = 0.0359894 + l. What is u rounded to 6 dps? -0.000011 Suppose 9*j - 143500000 = 4*j. Round j to the nearest one million. 29000000 Let q = 17877 - -48929. Let k = -66721.953 + q. Let u = k - 84. Round u to two decimal places. 0.05 Let w be ((-2)/(-2) - 1)/(-1). Suppose -2*f + 14740226 = 2*v, w = -2*f - 2*v - v + 14740231. Suppose 5*q + f = -13129892. Round q to the nearest 1000000. -4000000 Suppose 2*r = 3*r - 3. Let z(d) = -d + 3. Let p be z(r). Suppose -t - i = 2*i + 19985, -3*i + 15 = p. Round t to the nearest ten thousand. -20000 Let u be 3*(-12)/9 + 2. Let j be 6/4 + 37803/u. Round j to the nearest 1000. -19000 Let t(g) = 7*g + 47. Let o be t(-5). Round o to the nearest ten. 10 Let x = 38510 + -38510.31802. Let p = -0.01832 - x. Let k = p - 0.3. Round k to 4 dps. -0.0003 Let s = 222.6 + -189. What is s rounded to the nearest integer? 34 Let b = -1.39999984 + 1.4. What is b rounded to 7 dps? 0.0000002 Suppose 4*m + 0 = 16, -m = -2*u + 2. Suppose -6*j + j + i = 8500001, u*j + 4*i + 5099996 = 0. Round j to the nearest one million. -2000000 Let v = 6011 + -1149. Suppose -s = l - 1622, -l + v = 2*l + 2*s. Suppose 12818 - l = -g. What is g rounded to the nearest 1000? -11000 Let z(l) = 5874*l**3 + 2*l**2. Let p be z(2). Suppose y - p = -3*h, -y + 94000 = y + 3*h. What is y rounded to the nearest 10000? 50000 Let t(z) be the second derivative of 584*z**3/3 - 2*z**2 - z. Let d be t(3). What is d rounded to the nearest one thousand? 4000 Suppose 0*c + 4*c = -72. Let r be ((-2)/(-3))/((-2)/c). Let n(v) = 247*v**2 + 8. Let f be n(r). Round f to the nearest one thousand. 9000 Let a(o) = -28*o + 7. Let m be a(-5). Suppose 0 = 3*c - 5637 + m. Round c to the nearest one hundred. 1800 Let q = -0.8 - -0.94. Let f = q + -4.74. Round f to zero decimal places. -5 Let d = 2646 - 2762.76. Let w = d - 0.24. Let u = w + 117.000089. What is u rounded to 5 decimal places? 0.00009 Suppose 0 = -2*y - 0*y + k + 14, -3*y = 5*k + 5. Suppose 170 - 25 = y*s. Let u = 38 + s. Round u to the nearest 10. 70 Let z = -6455256.43349 - -77.43349. Let l = z - -6455178.96000003. Let b = 0.04 + l. Round b to seven decimal places. 0 Let s(t) = 141*t**2 - t + 4. Suppose -8 = -z - z. Suppose -5*p + z = -11. Let c be s(p). What is c rounded to the nearest 100? 1300 Let f = -2.44 - -2.146. Round f to two dps. -0.29 Suppose 2*x - 81 = -2*p + 79, -5*x - p + 388 = 0. Suppose 4*c = x + 4247. Let o = -621 + c. What is o rounded to the nearest 100? 500 Let n = 4338944 + -7274405. Let z = n - -5335461. Round z to the nearest 1000000. 2000000 Let o = 2.53 + -1.7. Let a = 0.08 + 0.82. Let b = a - o. Round b to 1 decimal place. 0.1 Let x = 41 + -41.007. What is x rounded to three decimal places? -0.007 Suppose -2*u = -3*u + 16900000. What is u rounded to the nearest one million? 17000000 Let k = -0.1 + 0.06. Let b = k - 0.36. Let v = -0.3998 - b. Round v to 3 dps. 0 Let m = 6.045 - 0.145. What is m rounded to the nearest integer? 6 Let l be (6740/(-3))/((-6)/90). Round l to the nearest 1000. 34000 Let w = -4.8 - -5. Let i = 13019 + -13019.20001. Let d = i + w. What is d rounded to five decimal places? -0.00001 Let n = 35 - 19. Round n to the nearest 10. 20 Let i = 1486259341268.9 - 1486257968393.1300141. Let w = i - 1372874. Let y = 1.77 - w. Round y to six dps. 0.000014 Let v(d) = 17*d + 2. Let b = 6 - 11. Let w be v(b). Let x be 56250*(w - (1 + -4)). What is x rounded to the nearest 1000000? -5000000 Let t(l) = -1401*l + 5. Let n(f) = f**2 - 6*f + 5. Let i be n(6). Let c be t(i). Round c to the nearest 10000. -10000 Let t = 146 - 139.52. Let i = t + 0.82. Let p = i - 7. What is p rounded to the nearest integer? 0 Let t be 31023/(-5) - (-10)/(-25). Let g = t - 3395. What is g rounded to the nearest 1000? -10000 Let m = 111.1382116585 - 2.1382124485. Let j = 0.159 - 109.159. Let x = m + j. Round x to seven dps. -0.0000008 Let p = 0.35 + -0.2. Let z = -0.15005 + p. Round z to four decimal places. -0.0001 Let u(y) = y**3 + 7*y**2 + 6*y - 10. Let p be u(-6). Let k be (-176)/p - 4/(-10). Round k to the nearest 10. 20 Suppose 3*g = 5*g - 10. Suppose g*k = -0*k. Suppose k = -5*l + 4*l - 8. Round l to the nearest 10. -10 Let u = 543.8745 - 544. Let k = 0.17 + -0.04. Let q = u + k. What is q rounded to 3 dps? 0.005 Suppose -5*l + 79 = -186. Suppose 3*n = -4*j - 58, 3*n + 6*j - j + l = 0. What is n rounded to the nearest ten? -30 Let w = 30.981 + 0.019. Let k = w + -31.000021. What is k rounded to 5 decimal places? -0.00002 Let v = 225 - 224.999889. Round v to 5 dps. 0.00011 Let r = -39815.092615 - -0.092615. Let j = -39809.99985 - r. Let d = j + -5. Round d to 5 dps. 0.00015 Let r be (2 + 177/9)/(1/30). Round r to the nearest one hundred. 700 Let y = -0.2283 + 0.0093. Let q = y + 0.12. What is q rounded to two decimal places? -0.1 Let j = -601.058 + 600. Let x = j - -0.068. Let p = -1 - x. Round p to one decimal place. 0 Let f = 48.015 + -48. Round f to one dp. 0 Let q = 2.06 + -0.06. Let p = 6 + q. Let i = -8.0000045 + p. What is i rounded to six dps? -0.000005 Let t = -48.9 + 53. Let k = 4.1047 - t. What is k rounded to 3 decimal places? 0.005 Let s = 4.1 - 4.1000084. What is s rounded to six dps? -0.000008 Let b be 7 - 2/1 - 0. Suppose 4*c - 7 = 13. Suppose -c*i = 6*a - a - b, 2*a - 2 = 3*i. Round i to two decimal places. 0 Let d = 0.112 + -0.1. Let t = 1.138 + d. Round t to 1 decimal place. 1.2 Let u = -8.71 - -18.678. Let l = 10.15 - 0.15. Let o = l - u. What is o rounded to two dps? 0.03 Let d be (-38)/6 + 2/(-3). Let u(i) = -i**3 - 8*i**2 - 6*i + 5. Let h be u(d). Let k be -3999999 - (2 - (-1 - h)). What is k rounded to the nearest 1000000? -4000000 Let l = 5.6 - 5.514. Round l to two decimal places. 0.09 Let p = 17.99999958 - 18. What is p rounded to seven dps? -0.0000004 Suppose 2*h = 4, -10 = -4*m - h + 2*h. Suppose m*k - 22 = 173. What is k rounded to the nearest 10? 70 Let z = 30560 + -30573.7113. Let h = 13.7 + z. What is h rounded to 3 decimal places? -0.011 Let x = 0.220134 - 0.22. What is x rounded to five dps? 0.00013 Let s = 51822748.8000029 + -51822791.8. Let w = s - -43. What is w rounded to six decimal places? 0.000003 Suppose 2*b - 18 = -0*b. Round b to the nearest ten. 10 Let u(g) = 0 - 15989679*g**3 + 3727075*g**3 + 1 - g**2. Let l be u(-1). Suppose 2*f = -2537396 - l. What is f rounded to the nearest one million? -7000000 Suppose 2*w + 3*w - 505 = 0. Suppose -4*o + 2339 = -w. What is o rounded to the nearest 100? 600 Let j(i) = 960*i**3 - i**2 + 2*i - 1. Let q be j(1). Round q to the nearest 100. 1000 Let n(j) = 890*j**3 - 31*j**2 - 7*j. Let x be n(13). Round x to the nearest 100000. 2000000 Suppose 5*t - 1114 - 17386 = 0. What is t rounded to the nearest one thousand? 4000 Let g = -69 + 68.41. Let p = -1.46 - g. Round p to 1 dp. -0.9 Let c = -0.17 - 0.48. Let m = -0.64934 - c. What is m rounded to four dps? 0.0007 Let n(z) = -12249998*z - 4. Let g be n(2). Round g to the nearest one million. -25000000 Let g = 0.107 + 0.683. Let c = 0.3 - 0.31. Let i = c - g. Round i to the nearest integer. -1 Let h = -1.203955 - 764835.796045. Let b = h - -764853.999915. Let v = -17 + b. What is v rounded to five decimal places? -0.00009 Let c = 11388563 + 23211437. What is c rounded to the nearest one million? 35000000 Let l = -0.5 - -0.1. Let x = l + 0.399925. What is x rounded to 5 decimal places? -0.00008 Let a = 267215.49999936 +
{ "pile_set_name": "DM Mathematics" }
-68 Let h = -43.8 + 43.9665. Let r = h + 0.0335. Which is bigger: r or -1/3? r Let p = -395/8 + 4809/88. Let n = 384/77 - p. Is 2.2 at most as big as n? False Let g = -3.28 - -104.28. Let d = -103 + g. Which is smaller: d or 74? d Suppose 4*y = y - 12. Let n(b) be the third derivative of -b**4/4 - 5*b**3/3 + 237*b**2. Let w be n(y). Which is bigger: 66/5 or w? w Let d be (-1137)/(-6)*(-12)/3. Are -760 and d non-equal? True Suppose -3*v + 2*j - 13 = 53, -4*j + 60 = -3*v. Let h = 12 + v. Suppose -152 + 44 = 9*x. Is h less than or equal to x? True Let h be (-6)/2*(7 - 5). Let q be h/(-9)*132/8. Are q and 13 non-equal? True Let f = -23 - -31. Let u(d) = -d**3 + 7 + 8*d + f + 0*d - 6*d**2. Let p be u(-4). Which is smaller: -48 or p? p Suppose 2*w - 3*x + 2 = -2*x, -4*w + 8 = x. Suppose 0 = -q - 2*s - 89, -2*q = -7*q + 3*s - 497. Let f = -95 - q. Which is bigger: w or f? f Suppose -954 = 5*s + 4*s. Let d = 849/8 + s. Which is greater: d or 0? d Let r(m) = -119*m + 1547. Let j be r(13). Which is smaller: j or 26/93? j Let v(w) = w**3 - 6*w**2 + w - 3. Let r be v(6). Let f be r/4*768/18. Which is smaller: 2 or f? 2 Let y be 35/(-14)*(-4)/(-10)*-137. Let o = y + -137. Which is smaller: 1/353 or o? o Suppose -142*m - 1486422 = 187*m. Which is bigger: m or -4519? m Let s = 193.05 - 190. Let r = -2.05 + s. Is r greater than -0.057? True Suppose 3*n - 102 = -3*n. Suppose 15*w = n*w - 4. Let x be ((-4)/9*3)/w. Which is smaller: x or -1/7? x Let v be -2*(0 - 1/14). Let f(r) = 4*r**2 - 38*r - 21. Suppose 10 = 35*l - 34*l. Let u be f(l). Is v bigger than u? True Suppose 7 = 205*i - 217*i - 5. Which is smaller: i or -92? -92 Let o be 29212/(-13080) - (-3)/(-5). Let s be 2/8 - 19/(-4). Suppose -f + 1 = s. Is o at least f? True Suppose -13*c + 41*c = 168. Let x be (-13*78/(-126) - c) + -2. Let v = -1 - -1. Which is smaller: v or x? v Let w = 719 + -719. Do w and 3/1540 have the same value? False Let c = -0.11 + 165.11. Let s = -161 + c. Let h be 39/(-52)*(-2)/6. Which is smaller: h or s? h Let q = -25513 - -32435. Which is greater: 13841/2 or q? q Let c be 1016*(10/(-100))/((-42)/135). Which is smaller: c or 328? c Let n be (45/6 - 8)*(-42 - 5 - -3). Which is bigger: -135 or n? n Let s(d) = -62*d**2 + 6*d + 7. Let o be s(-1). Let l be 2/o*(4 + 15/(-6)). Which is smaller: l or 1? l Let v = 62 - 7687/124. Let j(x) = 4*x + 5. Let z be j(5). Let d = -25 + z. Are v and d equal? False Let r = -88.58469 + -0.26031. Let y = 89 + r. Let l = y + 0.475. Which is smaller: l or 1? l Let j = 168 + 616. Let s = -471 + j. Is 312 smaller than s? True Let w = -480/7 + 1699/21. Suppose -9*q + 96 = -q. Is q greater than w? False Let i(n) = n + 2. Let d be i(4). Suppose 5*w = j + 21, -d*j = w - 3*j - 1. Suppose -3*t - w*m = -14, 0 = 5*t - m + 2*m + 5. Which is greater: t or -2/5? -2/5 Suppose q = -2*v - 14, 0 = -3*q + 4*q + v + 16. Let y be 105/q + 20/8. Which is smaller: -4 or y? -4 Let o = 906900103/11 + -82373773. Let u = o - 71834. Let t = 143 + u. Which is smaller: t or 1? t Let v be (7 - 3)/(35/(142415/(-52))). Is v greater than or equal to 0? False Let r = -37 - -55. Suppose r*z - 28*z - 20 = 0. Which is bigger: 0 or z? 0 Let y = 326 + -209. Let z = 119 - y. Let q = 27.3 + -6.3. Is q smaller than z? False Let q(c) = 4*c - 19. Let o be q(6). Suppose -o*f - 23 = 32. Let a be 2/f + 576/(-220). Is -4 greater than or equal to a? False Suppose -16225 = 3*v + 2*a + 2721, -a + 25287 = -4*v. Are -6319 and v non-equal? True Let t = -649 - -644.61. Let g = t - -3.39. Is 272 at most g? False Suppose 556*r + 112404 = 527*r. Which is smaller: r or -3877? -3877 Suppose 4*d + 5*z = -1017, 0 = -0*z + 3*z + 15. Let v = 253 + d. Which is bigger: v or 10? 10 Let w = 10/549 - 32/62037. Let b = 135/1243 - w. Suppose -14*j + 12*j = -2. Which is smaller: j or b? b Let a(t) = -t**2 + 4*t + 18. Let l be a(7). Is l equal to 0.097? False Let i = 1.52 + 0.08. Let f = 2.1 - i. Let r = -95.2 - -95. Is r bigger than f? False Suppose -136 = 5*w - 6. Let t = w - -26. Suppose v - 2*v = t. Which is greater: -1 or v? v Suppose -193 = -12*u - 73. Let q be -4 - 5/(-10)*(u - 2). Is -2/71 at least q? False Let i = 12 - 0. Let m = 39 + -30. Let o = m - 9. Are i and o non-equal? True Let m be (2543/20)/(6/(-5)). Let r = -4209 + 4103. Let s = r - m. Which is smaller: 0 or s? s Let j = 128 - 128. Suppose -774*a + 769*a + 10 = j. Which is bigger: a or -64? a Let c be (-64)/210 - 8/(-20). Suppose 0 = 277*b - 280*b. Which is smaller: b or c? b Suppose 0 = -42*k + 36*k - 4200. Let x be 12450/k - (-6)/(-4). Which is greater: x or -18? -18 Suppose 3*y = -2*b + 8, -2*y = b - 4*y - 4. Suppose -b*v + i = 409, 0*v + 197 = -2*v + 3*i. Is v smaller than 0? True Let x = -4 - -3. Let k = 11.088 + -0.188. Let f = 17.9 - k. Which is bigger: x or f? f Suppose -3 = -17*y - 16 - 4. Let j = -988 + 16770/17. Is j at most as big as y? True Let d = 491 - 481. Suppose -d*o = -31*o - 1512. Is -71 equal to o? False Let n = -5.8 - -6. Let m = 0.155 + -9.255. Let d = m - -8.1. Is n smaller than d? False Let m(d) = -d + 5. Let a(b) = 11*b**2 - 1. Let s be a(-1). Suppose -15*c + s*c = 20. Let x be m(c). Which is smaller: 10 or x? x Suppose -10*i - 29 = 31. Let m be 6/1 + 4/i*3. Which is smaller: m or 6? m Suppose 0 = -14*u + 81 - 11. Suppose 0*m = -4*r - m - 21, u*r + 5*m = -45. Let l be 2/70*-2*(-1 + r). Is 3/29 less than or equal to l? True Let x(y) = 41*y + 48. Let z be x(3). Is 55 less than or equal to z? True Let b be 18/(-2) + 3 + 6. Suppose -14*q - 1283 + 163 = b. Is q less than or equal to -77? True Suppose 4*w + 3*c + 154 = 423, -5*w + 341 = -c. Suppose z - g = 49, -5*g + 5 + 121 = 2*z. Let i = w - z. Is i >= 14? True Let b = -1.0335 - -0.7335. Is b bigger than 2753? False Suppose 46*l + 2235 = -54*l - 49*l. Is -12 greater than l? True Let w be 23061/33 + (-19 + -245)/(-33). Which is bigger: 708 or w? 708 Suppose -q + a + 4714 + 2605 = 0, 5*a + 30 = 0. Which is greater: q or 7314? 7314 Suppose b - 2 = 3*b. Let p = 4/3051 - 3155/79326. Which is bigger: b or p? p Let a = 1472 + -1469.028. Let l = -0.028 - a. Which is bigger: l or 6/17? 6/17 Suppose -9*x + 15 = -6*x. Suppose -2*j + 0*j = -x*v + 87, -v + 3*j + 20 = 0. Suppose 0 = -3*h - 5*f + 2*f - 21, 5*f = 4*h - v. Which is smaller: h or -5/3? h Suppose 5*q + 3*h = -13046 + 806, q - 2*h = -2461. Which is smaller: q or -2450? q Let g be 33/42 + ((-2)/(-4))/(-1). Let d = 213 + -228.3. Is d smaller than g? True Suppose -i + 4 = 2, -i + 8 = 3*f. Suppose -g = -f*a - 5, g + 7 = -a - a. Do -70/29 and a have the same value? False Let u = -3032 - -3031. Let m be 2*14*14/(-8). Let x = 295/6 + m. Which is smaller: x or u? u Let z = 13239.8 - -1661.2. Is 0 != z? True Let r = -28.1201 - -0.0201. Let g = r + 27.7. Is 10 >= g? True Let r be (-1)/5 + (-7)/(543165/(-15554)). Is r greater than or equal to 1? False Let q = 13367 - 14967. Is -1601 not equal to q? True Suppose -11 = 2*g - 5, -5*g - 14 = t. Let i be (-12)/16 + 573/12 + t. Let c = i + -68. Is -19 equal to c? False Let x = 5636 - 9092. Which is greater: x or -2/7? -2/7 Let h(f) = -f**3 + 14*f**2 - 9*f + 10. Let r be h(7). Suppose -4*g + 3*b + 1149 = 0, -3*g - 2*b + 391 = -492. Which is greater: g or r? g Let f(d) = -75*d - 8. Let q be f(2). Let p = 349 + q. Suppose 10*u + 169 = -p. Which is smaller: -35 or u? u Let t = -6621 - -6602. Which is bigger: t or -29? t Let m(u) = -u - 5. Let w be m(7). Let o be 3893/119 - (-4)/14. Suppose 0 = -2*v - 4*x - 22, -3*x = -3*v - 5*x - o. Which is bigger: v or w? v Suppose -1365 = -94*n + 89*n. Suppose l - 74 + n = 0. Does l = 1? False Suppose 4*n - 8*n = -212. Let j = 36 - n. Let v be (3 + -4)*j/(-5). Which is smaller: 1 or v? v Let w(g) = -5*g - 9. Let i be 3 - (33 - 3)/3. Let d be w(i). Is d smaller than 25? False Let s(j) = j**3 - 5*j**2 + 2*j - 4. Let x be s(4). Suppose 0 = -3*y - 565 + 559. Let f be x/166*2*y/8. Does f = 1? False Suppose j = 3*w - 13, 3*w - 68 + 25 = -5*j. Suppose 0 = h - w*h. Let m = -110625/86911 + 1/7901. Which is greater: m or h? h Let r = 252.409 - 252.5. Which is bigger: -6/23 or r? r Let k be (-486)/(-4023)*5*(-20)/6. Which is bigger: -1 or k? -1 Let b = 15.9 - 15. Let s = b + -1. Let y = 8750 - 8753. Is y > s? False Let k be 7/((-84)/9) - 74/8. Is k < 48? True Suppose 10*g - 348
{ "pile_set_name": "DM Mathematics" }
ther -389 and 66756808. 66756419 Put together -6381 and -49.6. -6430.6 What is 759 plus 44254353? 44255112 What is 0.0347 minus 6167? -6166.9653 Put together 9 and -3641.258. -3632.258 Put together 25662051509 and -0.1. 25662051508.9 What is the difference between 1639165 and 4833? 1634332 Calculate 1 - -670506843. 670506844 What is the difference between 0.156 and -7.748? 7.904 What is -6963.351609 minus -5? -6958.351609 Put together -5918 and -233.987. -6151.987 Total of 6 and -1308.455176. -1302.455176 Work out 14351 + -3298073. -3283722 Sum -0.203 and 40270.5. 40270.297 What is -0.1 plus 821.14753? 821.04753 What is 938804 - 7.2? 938796.8 Calculate 817735.243 + -0.5. 817734.743 What is -37012 minus 1854609? -1891621 -84 - -207340 207256 -255533 - -4042 -251491 0.03445 - 34.1 -34.06555 1450418 + -0.031 1450417.969 What is -58610 take away 139? -58749 What is -0.1 minus -273877680? 273877679.9 Total of -0.21456698 and 8.5. 8.28543302 1 - -3780585693 3780585694 What is 5.3 - 17556904? -17556898.7 Work out -356801 + -2. -356803 What is 12.1369 minus 0.917? 11.2199 Calculate -5731 - 69843. -75574 Put together -0.1771151244 and 17. 16.8228848756 Sum -1.27 and -6718097. -6718098.27 Add 32.1 and -85780734. -85780701.9 What is 14309927 less than -16? -14309943 What is -24113 + -3573? -27686 What is -0.4 take away 2087669? -2087669.4 Calculate -162660382 + -1. -162660383 Calculate 2640.1406 - 20. 2620.1406 What is the distance between -106081 and -385.6? 105695.4 Calculate 1 + -29536167. -29536166 Total of 153.4 and -6483. -6329.6 Sum 0.219413 and 16. 16.219413 What is -16234897549 plus 5? -16234897544 What is -2.307810673 take away -0.5? -1.807810673 Calculate -12 + -23559723. -23559735 What is -0.164212 take away 48.5? -48.664212 What is the distance between -161473195 and -0.32? 161473194.68 Add -66846656 and 4. -66846652 Work out 0.003400735 - 0.2. -0.196599265 Sum -1 and 6.7940702. 5.7940702 Add together -423341 and 1237. -422104 -8825 + 690.9 -8134.1 -0.3 + -6395.5894 -6395.8894 What is 10485253 plus -110? 10485143 Put together 178 and 419.8784. 597.8784 What is -8599.9 + -0.071? -8599.971 What is -21460.419 plus 0.05? -21460.369 Work out -20.48 - 55.782. -76.262 What is -109.3993 take away -7857? 7747.6007 What is -8.4799687 minus 0.3? -8.7799687 What is -1422309 take away 0.25? -1422309.25 Calculate -181690.68 - -0.3. -181690.38 Add together -1270139 and 481.2. -1269657.8 Subtract -222.918 from -18.701. 204.217 Total of 45672 and -115. 45557 Calculate -13901416 + -0.3. -13901416.3 Calculate -29 - -0.068500212. -28.931499788 Calculate -384.229 + -6. -390.229 Add 4 and 280905206. 280905210 What is 260528129 plus 4? 260528133 Work out -415.4246 - 0.4. -415.8246 6014894.5 - -2 6014896.5 Add together 14625 and 47. 14672 Work out -0.165 + 27769. 27768.835 Work out -19540158 - 0.1. -19540158.1 What is -235429312 - 0.2? -235429312.2 What is 0.0226 less than -13544? -13544.0226 What is -13141920983.8 minus -2? -13141920981.8 Work out 75 - -7285107. 7285182 Calculate 0 - 243760464. -243760464 What is 656921 - 429? 656492 Sum -9577 and -149.9. -9726.9 What is -0.04 take away 937795105? -937795105.04 Work out 382 - -83.41. 465.41 2.98525 + -6.95 -3.96475 Calculate 0.4 - 1117362045. -1117362044.6 What is -97533199 take away -4? -97533195 What is 436939200 take away -19? 436939219 What is 10 + 616082? 616092 Calculate 226 - -25140076. 25140302 What is 2 plus 3313666? 3313668 35 + -76663 -76628 What is 0.00686294 plus 258? 258.00686294 What is -23448741312 take away 5? -23448741317 What is 0.3 + 10280267? 10280267.3 What is 129 plus -36007? -35878 What is -417927983 minus 366? -417928349 What is -1.20595 minus 4.3? -5.50595 What is 2 plus -8.62461? -6.62461 Calculate 3489 + -167255. -163766 What is -1 take away 646560760? -646560761 What is the distance between -37307597 and -0.5? 37307596.5 What is 3 take away 156566296? -156566293 -3775 + 12827 9052 Add together -0.1464 and 6030. 6029.8536 -1296+-2677 -3973 What is -92268 minus -68? -92200 Work out 134 + -12.05291. 121.94709 What is the distance between -177006573 and -0.5? 177006572.5 Sum 8.8 and 229254. 229262.8 What is -9.6577 + 10790? 10780.3423 Calculate -2049090 + -0.1. -2049090.1 Subtract 28 from 0.7051645. -27.2948355 What is 7 + -7105775551? -7105775544 Work out 231 + 359629.38. 359860.38 Subtract -541054 from -78.887. 540975.113 What is -0.1903 plus 2730487? 2730486.8097 What is the difference between 0.1 and -3438478? 3438478.1 Add -1279.49 and 0.004. -1279.486 Work out 394 - -312.6. 706.6 Add together -1.8 and -0.056088075. -1.856088075 Calculate -32 - 4370869. -4370901 0.013 + -19.233705 -19.220705 What is the distance between 610632730 and -2? 610632732 Total of -0.118 and -581159. -581159.118 Calculate 174899 + -252926. -78027 What is -5997 minus 10.83? -6007.83 -0.0037654519+0.5 0.4962345481 Subtract 1990267 from 0.009. -1990266.991 What is 2481426 less than 92? -2481334 Work out 2693.77 + 1.8327. 2695.6027 What is -2653.3 minus 80.71? -2734.01 Put together -0.1983 and -315935. -315935.1983 Subtract -37.65704997 from -0.1. 37.55704997 What is 47 take away 1135682? -1135635 What is the difference between 0.1 and -5007212? 5007212.1 What is 12.426 + -1439.81? -1427.384 Subtract -0.4582103 from -231. -230.5417897 What is -18 take away 21210266.8? -21210284.8 Sum -0.479970729 and -0.08. -0.559970729 Add 6702.2999 and 3.1. 6705.3999 Work out -0.04 + -535369578. -535369578.04 Calculate -2.1419 + -516. -518.1419 What is the difference between -319327.17 and 0.12? 319327.29 Add together -69605431 and -28. -69605459 What is the difference between -899306 and -0.0278? 899305.9722 Subtract 48118 from -143. -48261 Subtract -10260316 from -61.65. 10260254.35 130.16 - 4730114 -4729983.84 Calculate 21677741 + 0.1. 21677741.1 Work out -1698103 + 249. -1697854 Sum -24.9 and -13750. -13774.9 Add 1829582 and 0.03888. 1829582.03888 Calculate -3.6 + -667800. -667803.6 Calculate -36576 + -3341. -39917 What is 69 take away 11083407? -11083338 What is -77.418 take away 31.2? -108.618 Work out 0.233251 + -98331. -98330.766749 9.23 - 250924 -250914.77 What is 10827 plus 0.86711? 10827.86711 What is -5435063 minus -12.9? -5435050.1 Subtract 1.5254345404 from -2. -3.5254345404 What is -3.259945972 minus -14? 10.740054028 What is 40220063 plus -75? 40219988 What is 275 take away -12145.7? 12420.7 Add -8693220 and -3. -8693223 What is 8689556 take away -2? 8689558 What is the difference between 74495 and -11.08? 74506.08 What is -2.2 less than -31.84744577? -29.64744577 Calculate -4481.7467 - 0.06. -4481.8067 What is 0.00335812 plus 4? 4.00335812 Work out 0.1 - -0.061190848. 0.161190848 What is the difference between 0 and -547.775? 547.775 Total of -12386 and 14138. 1752 Calculate -206 + 13204622. 13204416 Work out 19 + 3209224. 3209243 What is 6.529 take away 2657.7? -2651.171 What is -59397 less than 181? 59578 -0.4+-61381438 -61381438.4 Work out -1978265.8 - 0.351. -1978266.151 Add together 3.89 and 14743. 14746.89 Calculate -17452 - -1031. -16421 Subtract 136253 from -3167. -139420 What is -2097213525 plus 15? -2097213510 Work out -0.0135 + 2713. 2712.9865 630+-0.304553 629.695447 What is 0.1 - -15538485? 15538485.1 What is 1.8 plus 182399? 182400.8 What is -0.32 + -0.00860126458? -0.32860126458 What is -26605 less than -20.4? 26584.6 What is the difference between -132 and -403020021? 403019889 What is -1552 plus -17327348? -17328900 What is 262077711 plus 0.3? 262077711.3 Subtract -515 from -2.8103. 512.1897 -4 - 5615568.51 -5615572.51 What is -9085 take away -1.504? -9083.496 Work out -36115338 - 0.2. -36115338.2 -4.452 + -251.23 -255.682 What is 557.38681 take away -0.1? 557.48681 What is 0.6966 minus -2284? 2284.6966 -344122 - 0.223295 -344122.223295 Work out 0.01 + 0.0058359. 0.0158359 What is -25265556.5 take away 0.02? -25265556.52 Calculate -3 - 2443482. -2443485 -2431809 + 10 -2431799 -28+2154523812 2154523784 -0.049085 - 9840 -9840.049085 -8 - -2002079300 2002079292 What is -0.014931 + -0.3? -0.314931 Add -1.027165946 and 4. 2.972834054 -6347623 - -14.447 -6347608.553 Calculate -0.0415 + 57036. 57035.9585 Total of 4790712031 and 0.1. 4790712031.1 What is the distance between 9010238783 and 0.1? 90
{ "pile_set_name": "DM Mathematics" }
*p - 4709, 0 = v + 5*p - 4715. Does 55 divide v? False Suppose 0 = -k - 138 + 4. Let u = 1488 + -1257. Let v = u + k. Is v a multiple of 15? False Let o = 107 - 193. Let u = o - -184. Suppose -37 = -u*g + 97*g. Does 15 divide g? False Let f(o) = 2*o - 4. Let u be f(3). Suppose 4*s = u*s - 2. Is 8 a factor of 26/((2/(-3))/s)? False Let m(l) = 67*l**2 + 24*l + 120. Let v(w) = 18*w**2 + 6*w + 32. Let x(q) = 3*m(q) - 11*v(q). Let r be (4/(-10))/(2/10). Is x(r) a multiple of 4? True Suppose -3*i = -5*q + 21137, 4*q - 25*i = -30*i + 16880. Does 25 divide q? True Suppose -24 = 5*v - 8*v. Is 78 a factor of 34/v + (-11)/44 - -698? True Let a be (0 - -1)*0/8. Suppose d - 1 - 4 = a. Suppose -d*x - 57 = -307. Is 12 a factor of x? False Let o(v) = v**2 - 10*v - 2. Let y be o(10). Let b be (228/(-18))/(y/27). Let a = b - 27. Is 36 a factor of a? True Let w(o) = -o**3 + 15*o**2 + 11*o - 19. Let s be w(16). Let a = -154 - s. Does 6 divide (-40)/6*528/a? False Suppose 46*n - 32*n - 5040 = 0. Does 10 divide n? True Let t be 2/55*11 - 5674/10. Let x = t + 895. Is 41 a factor of x? True Let o = 301 - 275. Suppose 5331 = o*h - 883. Is 27 a factor of h? False Suppose 16*u - 44*u = -20*u. Suppose 46*l - 51*l + 770 = u. Is l a multiple of 22? True Let w(r) be the third derivative of -r**4/12 + 2*r**2. Let b be w(-9). Suppose 6*z = -b + 102. Is z even? True Suppose 0 = -3*j - 61 + 13. Let c be 6/4*j/12. Is c - (-6 + 5 - 17) a multiple of 8? True Let o(g) = 3*g**2 - 33*g + 213. Let m be o(19). Let h = 1124 - m. Does 91 divide h? True Let w(c) = 8*c**3 - c**2 + 9*c - 19. Let a be (-7)/35 + 78/15 - 3. Is w(a) a multiple of 4? False Let x = -9 - -25. Suppose -z + 9 = -4*z - 5*d, 0 = -5*z + 2*d + x. Suppose 279 = 5*c + z*l - 163, 1 = l. Is 11 a factor of c? True Let u(p) be the second derivative of p**4/6 + p**3/2 + p**2 + 10*p. Let b be u(-2). Is 19 a factor of b/(-22) + -1465*(-2)/22? True Let b = 1808 + -3304. Let c = 0 - 4. Is 25 a factor of b/(-32) + 3/c? False Let v be (6 - (-4)/(-2)) + -46. Let y = 99 + v. Does 3 divide y? True Suppose -153*k - 954 = -162*k. Suppose -n = k - 227. Does 21 divide n? False Suppose 0 = 3*l - 3631 - 32360. Is 31 a factor of l? True Let y be (-6519)/(-689) + 12/(-26). Is 1064/7 + y/(-3) + -1 a multiple of 37? True Let f = -2596 - -5077. Is f a multiple of 178? False Suppose 0 = n - 39 + 13. Let t = n - -184. Is 35 a factor of t? True Let z(s) = s. Let j(u) = -9*u - 12. Let g(i) = j(i) + 15*z(i). Let y be g(-6). Is (544/y)/((-4)/6)*6 a multiple of 43? False Suppose q = 5, l - 5*l - 3*q = 189. Let r = 66 + l. Is 12 a factor of ((-63)/28)/((r/(-112))/5)? True Let g(a) = 3*a + 55. Let u(v) = v + 27. Let j(y) = -3*g(y) + 7*u(y). Let s be j(10). Let k(t) = 3*t**2 - 9*t + 15. Is k(s) a multiple of 9? True Suppose 0 = -2*s + 11*s - 45. Suppose -5*r + 199 = -3*y + y, -56 = -r - s*y. Does 35 divide r? False Suppose -2*u + 4*z + 417 = -615, -2*u + 1028 = -5*z. Suppose 2*y + 2*x - u = 14, -5*y = x - 1329. Is 53 a factor of y? True Let k(s) = -s**3 + 18*s**2 - 15*s - 4. Let i be k(18). Let m = i - -872. Is m a multiple of 31? False Let w(j) = 8*j**2 + 182*j - 51. Is 43 a factor of w(-27)? False Let x be (4/(-16))/((-3)/24). Suppose 0 = -3*w - 5*l + 35, -2*w + 2*l + l = x. Suppose -2*y - t = -414, 0 = 5*y - w*t - 1066 + 61. Is y a multiple of 24? False Does 8 divide ((-112)/(-1092)*52)/((-2)/(-960))? True Let c(y) = y**3 - 13*y**2 + 8*y + 14. Let z be c(11). Let r = 28 - z. Is r a multiple of 42? True Suppose -335 = -2*n + 4613. Is 20 a factor of n? False Let m(k) = 737*k**3 + 1 + 857*k**3 - k - 236*k**3 + 233*k**3. Is 46 a factor of m(1)? False Suppose 14*g - 257973 = -24243. Is 105 a factor of g? True Let p(c) = 391*c**2 + 262*c. Is 15 a factor of p(-2)? False Let x(r) = 6*r**2 - r - 75. Is x(7) a multiple of 7? False Let x be (((-62)/(-3))/1)/(10/(-45)). Let w be (-1 - 0 - x)*22/8. Let i = w + -51. Does 54 divide i? False Let o(c) = -31 - 7 + 16 - 239*c - 14. Is 42 a factor of o(-3)? False Let b(a) = a**2 - 2*a + 9. Let t be b(6). Suppose -4*w - 3*k = -w - 36, -4*w + t = k. Suppose w*v = 2*v + 115. Does 11 divide v? False Let c(a) = -5*a**2 - 181*a + 53. Does 21 divide c(-36)? False Let y(h) = -5*h**2 - 5. Let u be y(3). Let q = 71 + u. Does 58 divide 4870/14 + 3/q? True Let i(b) = -16*b**3 - 6*b**2 + 53*b + 157. Is 71 a factor of i(-7)? False Let z be 10/(30/(-87)) - 3. Is 38 a factor of z/16 + (-477)/(-1)? False Let b = -17195 - -18905. Is b a multiple of 18? True Suppose n - 5*n - 80 = 0. Let g be (-70)/(-17) - 68/578. Is 4 a factor of (g - (0 - -1)) + n + 49? True Let x be (1/1 + -3)*-67. Let v = -132 + x. Suppose -2*c - 3*i + 301 = 0, -c - v*i + i = -152. Does 31 divide c? True Let c(i) = 71*i**3 + 10*i**2 - 20*i + 48. Does 16 divide c(4)? True Is 233 a factor of 7906 + -3 + (228/(-133))/((-6)/(-21))? False Suppose 2038 + 110 = 4*r. Suppose 0 = -4*h + 5*p + 527, -4*p = 4*h - 7*p - r. Is h a multiple of 46? True Let f be (32/(-5) + 0)/(126/945). Let a = 51 + f. Suppose -3*g = -a, -3*q = -0*g - 5*g - 322. Is q a multiple of 7? False Let w(x) = 86*x**2 + 256*x - 138. Is w(-25) a multiple of 11? True Let f(j) = j**3 + 110*j**2 - 50*j + 430. Is f(-105) a multiple of 7? False Let u(a) = -20*a**2 + 23*a - 11. Let k(c) = 5*c**2 - 6*c + 3. Let z(x) = -9*k(x) - 2*u(x). Let m be z(2). Does 4 divide (-348)/m - 4/6? False Let r be 99/(-22)*(-1342)/3. Suppose 239*o - 250*o = -r. Does 43 divide o? False Let o(f) = 3*f**2 + 13*f + 9. Let j be o(-14). Let w = j + -396. Does 5 divide w? False Let r = -12 - -68. Suppose 349 - 85 = -12*p. Is 14 a factor of (3/(6/r))/((-4)/p)? True Let i = 17283 - -10457. Is 190 a factor of i? True Let d = 249 - 240. Suppose -11 = -4*l + d. Is l even? False Suppose 2*a - 7009 = -w, -1491*w + 1486*w = -3*a - 35136. Is 49 a factor of w? False Suppose 4732 + 163570 = 21*j + 20966. Is j a multiple of 8? True Let r(p) = p**2 - 5*p + 470. Is 7 a factor of r(46)? False Suppose -11*z + 57*z - 30912 = 0. Let y = -605 + z. Does 6 divide y? False Let y(a) = 7 - 5*a - 6 + 5*a - 2*a**2. Let c be y(-1). Let v(f) = -57*f - 3. Is 9 a factor of v(c)? True Let w(c) = 3*c. Let i(u) = u - 865 - 3*u + 862. Let d be i(-6). Is 3 a factor of w(d)? True Let l be (0 - 6)/(42/(-28)). Suppose l*u = 14*u - 1240. Is 2 a factor of u? True Let m = -125 + 93. Let c = m - -101. Suppose 2*v - 101 - c = 0. Is v a multiple of 19? False Suppose 0 = 8*m - 17*m. Suppose m = -4*r + 3*r + 377. Is 15 a factor of r? False Let d be -3*(-1)/6 + (-6)/(-4). Suppose -6*t = -9*t - 5*f + 1917, d*t + 4*f - 1280 = 0. Does 27 divide t? False Let w be 2 + 821 + 10 + -6. Let m = w + -397. Does 12 divide m? False Let c = -241 + 245. Suppose 3*p = -5*l + 3174, c*l + 17*p - 16*p = 2542. Is l a multiple of 16? False Suppose -2*z + 2430 = 5*t, z = t + 201 + 1021. Is z a multiple of 10? True Let t = 41 - 39. Let i be -2 + 10 - 9/6*t. Suppose 2*z + i*y = 128, 142 = 3*z - 3*y - 2*y. Does 17 divide z? False Suppose 2*h + 1254 = 3*r, 3*h = 5*r - 875 - 1214. Let m = r + -64. Does 22 divide m? True Suppose 0 = 3*z - 12, -18*z + 538 = n - 20*z. Suppose 0 = 64*w - 70*w + n. Is 12 a factor of w? False Let l(p) = 2*p - 6. Let n be l(-26). Let c = 77 + n. Let f = c + 3. Is f a multiple of 8? False Let m be -1159*1 + (-44)/(-11). Is m/(-28) - (-3)/(-12) a multiple of 12? False Suppose 2*r - 2*a - 88 = 0, -r + 5*a = -61 - 3. Let j be r/12*56/2. Let n = 316 - j. Does 51 divide n? False Suppose 2*j - 33*p + 31*p = 4582, 2*p + 11455 = 5*j. Does 5 divide j? False Let b be (0 + -1)*(-591)/(-3). Let p be b/((-1)/6*2). Suppose 5 = -r, -k = -3*k - 5*r + p. Is k a multiple of 14? True Suppose -32 = q + 4*j - 168, -332 = -2*q + 4*j. Does 12 divide q? True Let a(i) = -595*i - 143. Is 43 a factor of a(-3)? False Let t = 121058 - 50902. Is t a multiple of 13? False Suppose -14678 = -3*k + 105866 + 9524. Is 12 a factor of k? True Let x = 950 + -485. Suppose -4*r - 429 = -x. Does 2 divide r? False Let c be (-3 - (-2 + -2)) + 4. Suppose 1187 = c*z - 4*w - 206, 0 = -2*z - 2*w + 568. Suppose -5*u + 7 + z = -3*l, u + 2*l = 55. Is u a multiple of 10? False Suppose 4*v + 6 + 2 = 0. Let g be v/((-525)/(-515) - 1). Let d = g - -180. Does 12 divide d? False Is 3 a factor of (-2)/(-10) - 15/((-750)/15640)? False Let l be 2/(
{ "pile_set_name": "DM Mathematics" }
- 2*n**2 + 0*n**3 - 1/85*n**5 + 0*n + 9 + 1/1020*n**6. Factor d(p). 2*p*(p - 3)**2/17 Let u(n) = -n - 1. Let f(s) = s + 83. Let h(c) = f(c) + 6*u(c). Let o be h(15). Factor -5/6*m**o + 15/2 - 20/3*m. -5*(m - 1)*(m + 9)/6 Let d be 82 + (-3)/(-3 - (-36)/8). Let f = 86 - d. Factor f*c**2 + c - 3 - 6*c**3 - 4*c**3 - 3*c**2 + 9*c**3. -(c - 3)*(c - 1)*(c + 1) Let b(n) be the second derivative of -n**6/70 - 9*n**5/140 + 2*n**3/7 + 1026*n. Factor b(j). -3*j*(j - 1)*(j + 2)**2/7 Suppose 2*l + 40 = 4*v, -3*v - 57 = 4*l + 1. Let j be -10 - 5373/(-504) - (-6)/l. Let j*w**2 + 2/7*w + 0 = 0. What is w? -1, 0 Let w(q) = q**3 + 7806*q**2 - 2542898*q + 2535007. Let s(v) = -v**3 - 5204*v**2 + 1695270*v - 1690005. Let z(r) = 7*s(r) + 5*w(r). Factor z(p). -2*(p - 650)**2*(p - 1) Solve 0 + 2/5*g**4 + 2/5*g**3 + 0*g - 2/5*g**2 - 2/5*g**5 = 0 for g. -1, 0, 1 Let r(j) be the second derivative of j**4/2 + 235*j**3/6 + 39*j**2/2 + 192*j - 1. Factor r(z). (z + 39)*(6*z + 1) Let y(c) be the second derivative of -c**5/20 - 193*c**4/12 + 389*c**3/6 - 195*c**2/2 + 131*c. Factor y(h). -(h - 1)**2*(h + 195) Let a(v) = -2*v**2 - 93*v - 85. Let d(t) = t**2 - 6*t - 1. Let q(u) = -a(u) + d(u). Solve q(b) = 0 for b. -28, -1 Let p(b) = 3*b + 42. Let w be p(-13). Factor -21*t + 18*t**2 + 21*t + 24*t + 3*t**w. 3*t*(t + 2)*(t + 4) Suppose 3*m**3 - 83*m**2 - 3*m**2 + 8*m**2 + 495*m = 0. Calculate m. 0, 11, 15 Let p(z) = -z**3 + z. Let f = 137 + -138. Let w(a) = 20*a**3 + 5*a**2 + 5*a. Let j(s) = f*w(s) - 25*p(s). Determine l so that j(l) = 0. -2, 0, 3 Let w(g) be the second derivative of g**4/20 + 607*g**3/10 - 912*g**2/5 - 5*g - 545. Solve w(h) = 0. -608, 1 Let l(d) = -30. Let a(s) = -5*s**2 + 10640*s - 5660450. Let u(z) = -a(z) - l(z). Find c, given that u(c) = 0. 1064 Suppose -6/17*v**2 + 2/17*v**3 - 90/17*v - 162/17 = 0. What is v? -3, 9 Let p(t) = t**3 + t - 1. Let v(x) = 171*x - 8*x**3 + 7*x**2 + 8*x**2 - 174*x + 3. Let d(a) = -3*p(a) - v(a). Factor d(k). 5*k**2*(k - 3) Let q(t) be the first derivative of -t**8/420 - 4*t**7/105 - 7*t**6/90 + 5*t**3/3 - 3*t + 53. Let f(p) be the third derivative of q(p). Factor f(u). -4*u**2*(u + 1)*(u + 7) Let h = -212828/3 - -70943. Let z(x) = x**3 + 7*x**2 + 5*x - 4. Let m be z(-6). Determine b so that -1/6*b**m + h*b + 0 = 0. 0, 2 Suppose 51*j = 47*j + 696. Let h be (2/3)/(j/232). Suppose -14*g**2 + 32/9*g**4 - h - 16/9*g**3 + 64/9*g = 0. What is g? -2, 1/4, 2 Suppose 253*o = 247*o + 120. Let l be 5/o*-3*8/(-18). Let k**2 + l*k**3 + 0*k + 0 = 0. What is k? -3, 0 Let i = -17245 + 17245. Factor i*k**2 + 0 - 6*k + 3/2*k**3. 3*k*(k - 2)*(k + 2)/2 Solve 348/7*t - 162/7*t**2 + 1328/7 - 2/7*t**3 = 0 for t. -83, -2, 4 Let o(x) be the first derivative of -x**5/40 + 11*x**3/24 + 9*x**2/8 + x + 4474. Let o(t) = 0. What is t? -2, -1, 4 Let w be (0 - 2)*5/(-5). Suppose -116 = -5*q - 4*c, 2*q - 6*c = -w*c + 24. Factor 20 - 40*x**2 + 7*x**3 - 27*x**3 + 25*x**2 - 5*x**4 + q*x. -5*(x - 1)*(x + 1)*(x + 2)**2 Let h(a) be the first derivative of -a**5/130 - 8*a**4/39 + a**3/39 + 16*a**2/13 + 79*a - 38. Let r(u) be the first derivative of h(u). Factor r(i). -2*(i - 1)*(i + 1)*(i + 16)/13 Let d = 3062/7 + -9158/21. Determine g so that d - 34/3*g + 22*g**2 - 70/3*g**4 + 34/3*g**3 = 0. -1, 1/5, 2/7, 1 Let t = -15505 - -248081/16. Let h(c) be the third derivative of 0*c + 23*c**2 + 0 - 1/720*c**5 - 9/8*c**3 + t*c**4. Factor h(g). -(g - 9)**2/12 Let d(p) be the third derivative of p**8/672 + p**7/168 + p**6/144 - 7*p**3/3 + 4*p**2 - 2*p. Let f(m) be the first derivative of d(m). Factor f(y). 5*y**2*(y + 1)**2/2 Let f(b) be the first derivative of -b**3/3 + 2940*b**2 - 8643600*b + 5007. Find p such that f(p) = 0. 2940 Let v(i) be the second derivative of i**4/30 + 2*i**3/15 - 224*i**2/5 - i + 949. Factor v(u). 2*(u - 14)*(u + 16)/5 Let k(a) be the first derivative of 1/3*a**3 + 2/5*a**2 + 51 + 1/30*a**6 - 4/5*a - 1/4*a**4 - 1/25*a**5. What is d in k(d) = 0? -2, -1, 1, 2 Let l(k) be the third derivative of 3/80*k**5 + 228*k**2 + 9/2*k**3 + 1/960*k**6 + 9/16*k**4 + 0*k + 0. Factor l(p). (p + 6)**3/8 Suppose 170*r = 150*r + 6320. Let u be (r/12)/((-55)/(-33)) + 1. Find m such that -32/5*m**4 + u*m - 8*m**2 - 4/5*m**5 + 72/5 - 16*m**3 = 0. -3, -2, -1, 1 Let g(k) = -k**3 - k + 1. Let p(s) = -5*s**3 - 2*s**2 + 8*s - 1. Let z(u) = 5*g(u) + p(u). Let d be z(-1). Factor -26*w**2 + 7*w + d*w - 18*w**3 + 21*w**3. w*(w - 8)*(3*w - 2) Let p(m) be the first derivative of m**8/3528 - m**7/441 + m**6/210 - 75*m**2 - 98. Let k(i) be the second derivative of p(i). Determine j so that k(j) = 0. 0, 2, 3 Let p = 4 - 2. Suppose -2*f - p*f = -4*a - 28, 4*a + 19 = f. Solve 0*t**4 - 2*t**4 - 3*t**4 + 50*t**3 - 125*t**2 + 0*t**f = 0 for t. 0, 5 Let h(v) be the third derivative of v**5/420 - v**4/84 + 11*v**2 - 1. What is z in h(z) = 0? 0, 2 Let q(s) be the first derivative of s**6/36 + s**5/2 + 89*s**4/24 + 29*s**3/2 + 63*s**2/2 + 36*s + 521. Factor q(b). (b + 2)*(b + 3)**3*(b + 4)/6 Let v = -46345/24 - -15451/8. Factor v*y**5 + 0*y - 1/2*y**4 + 0*y**2 + 0 + 1/6*y**3. y**3*(y - 1)*(2*y - 1)/6 Let o(v) = v**4 - 7*v**2 - 6. Let n(f) = -f**3 - f**2 + f - 1. Let y(s) = s**2 - 31*s - 33. Let h be y(32). Let g(u) = h*o(u) + 6*n(u). Factor g(a). -a*(a - 1)*(a + 1)*(a + 6) Let f = -3 - -8. Let p be 4*((-10)/(-25))/(4/f). Factor -12*r**4 - 14*r**3 - 3*r**p - 6*r**2 - 8*r**2 + 15*r**2. -2*r**2*(r + 1)*(6*r + 1) Factor 7/6*g + 0 - 61/6*g**2 + 9*g**3. g*(g - 1)*(54*g - 7)/6 Let p(t) be the second derivative of t**4/90 + 62*t**3/45 + 8*t**2 + 176*t. Factor p(g). 2*(g + 2)*(g + 60)/15 Let a(f) = -12*f + 6. Let x be a(2). Let z be (-8)/x*-6*-3. Factor -5*i + 4*i + z - 2*i - 4*i**2 - i. -4*(i - 1)*(i + 2) Suppose 0 = -18*i + 8274 + 16998. Suppose -i*g + 22 = -1393*g. Factor 4/3*k + 0 - 4/3*k**g. -4*k*(k - 1)/3 Suppose -2*m + 598 = 4*s, 2*m - 2*s = 4*m - 596. Let z = m + -295. Factor -4/5*u - 2/15*u**3 - 2/3*u**z + 0. -2*u*(u + 2)*(u + 3)/15 Let s be 1032/86 + (-5 - -3 - 6). Let u(j) be the second derivative of -10/3*j**3 - 1/6*j**6 + j**5 - 5/4*j**s + 43*j + 0 + 10*j**2. Factor u(n). -5*(n - 2)**2*(n - 1)*(n + 1) Let r be (1/(-2))/(-13 + 7). Let h(d) be the third derivative of 0 - 12*d**2 - 5/4*d**4 + 0*d - 15/2*d**3 - r*d**5. Suppose h(o) = 0. Calculate o. -3 Let r(q) = -q**3 - 3*q**2 - q + 2. Let f(v) = 18*v**2 - 64*v - 80. Let z(x) = -2*f(x) + 4*r(x). Solve z(b) = 0 for b. -14, -1, 3 Let s(h) = -4*h**3 + 151*h**2 - 253*h + 39. Let l be s(36). Determine v, given that 7/5*v - 6/5 + 0*v**2 - 1/5*v**l = 0. -3, 1, 2 Factor -2/5*u**2 + 3/5 - 1/5*u**4 + 4/5*u**3 - 4/5*u. -(u - 3)*(u - 1)**2*(u + 1)/5 Let s = 41 + -38. Determine a so that -4*a**4 + 3 + 3 + 5*a**4 - 12 + 5*a**2 + 5*a**s - 5*a = 0. -3, -2, -1, 1 Let y(k) = -k**2 - 5*k + 234. Let b be y(-18). Let z(f) be the third derivative of 1/120*f**5 + b*f + 1/480*f**6 + 0*f**4 + 0*f**3 + 0 - f**2. Factor z(a). a**2*(a + 2)/4 Let s be 22/(-143) - (-92)/91. Let b(j) = j**3 - 9*j**2 - 10*j + 3. Let c be b(10). Factor 0 + 2/7*z**4 + 0*z**c + 4/7*z - s*z**2. 2*z*(z - 1)**2*(z + 2)/7 Let p = -19637 - -19639. Let b(n) be the first derivative of 0*n - 4/9*n**3 + 0*n**p + 1/18*n**4 - 14. Factor b(h). 2*h**2*(h - 6)/9 Let r be (-3 + 4 - 0)*209. Let t = 1047/5 - r. Factor -2/5*x**4 + 2/5*x**2 + 0 - 2/5*x + t*x**3. -2*x*(x - 1)**2*(x + 1)/5 Determine c, given that 1391*c**2 - 2658*c**2 + 16*c + 10*c + 1420*c**2 + 4*c + 15*c**3 = 0. -10, -1/5, 0 Let b be (-8)/(-10) - 1 - (-10250)/1250. Let c(u) be the first derivative of -b*u**2 + 3 - 16*u - 4/3*u**3. Suppose c(q) = 0. What is q? -2 Find k, given that -26*k**5 - 4592*k**2 - 9*k**4 + 3*k**4 - 888*k**3 - 10*k**4 - 3724*k + 30*k**5 = 0. -7, -1, 0, 19 Factor 2/9*f**2 + 160/9 - 14/3*f. 2*(f - 16)*(f - 5)/9 Suppose -9 - 11 = -5*i. Suppose -i*j = -16 + 4. Factor -11 - j - 10*p + 2 + 5*p**2 - 3. 5*(p - 3)*(p + 1) Factor -3844/7 - 713/7*v - 1/7*v**3 + 58/7*v**2. -(v - 31)**2*(v + 4)/7 Let d(b) be the second derivative of 1/2*b**3 + 27*b + 1 + 5/3*b**2 - 1/36*b**4. Factor d(u). -(u - 10)*(u + 1)/3 Determine z so that -2/17*z**2 + 768/17 + 380/17*z = 0. -2, 192 Factor 255*v - 114*v**2 - 48*v**3 - 143*v + 4*v**4 - 7*v**4 - 154*v + 27*v**2. -3*v*(v + 1)**2*(v + 14) Let w(q) be the second derivative of -q**7/7560 - q**6/120 - 7*q**5/
{ "pile_set_name": "DM Mathematics" }
**2) + sqrt(448) + 2 + sqrt(448) + -1 + -3. 10 + 24*sqrt(7) Simplify (((sqrt(525) - (5*sqrt(525) + sqrt(525))) + sqrt(21) + sqrt(21))*-2)/((sqrt(84) + -3*sqrt(84)*-4 - sqrt(84))/sqrt(12)). 23*sqrt(3)/6 Simplify 4 + 4*sqrt(325)*6*-4 + (-4*(4 + 3 + sqrt(325) + -3))**2. 160*sqrt(13) + 5460 Simplify (1 + -2 + 6*(1 + sqrt(847) + -5)*2)**2 + -3. -12936*sqrt(7) + 124366 Simplify -4*((1*(-3 + (-5*(-1 + sqrt(245)) - (-1 + sqrt(245) + 5)) + 1))**2 + 3). -35296 - 336*sqrt(5) Simplify ((sqrt(30)/(sqrt(20)/sqrt(2)) - -2*sqrt(48))*-4 + ((-1*sqrt(72) + sqrt(72))/sqrt(8) + sqrt(9))/(sqrt(12)*2))*1. -143*sqrt(3)/4 Simplify (2*(sqrt(1539) - 6*(sqrt(1539) - sqrt(1539)*-2))*1*1*-5)**2 + -4. 44477096 Simplify 1 + -1 + ((6*(sqrt(1300) + 0 + sqrt(1300) + -2 + -1*(sqrt(1300) + 0 + sqrt(1300))))**2 - -3*((-1 + -1 + sqrt(1300))**2 - (sqrt(1300)*2 + 1))). -180*sqrt(13) + 4053 Simplify 1 + (1 + -4*2*sqrt(500)*4 + -3)**2. 1280*sqrt(5) + 512005 Simplify -4*(1 + (-3*(sqrt(77) - (sqrt(77) - 2*4*sqrt(77))))/(5*5*sqrt(49)/sqrt(7))). -4 + 96*sqrt(11)/25 Simplify (sqrt(114)/(-2*sqrt(2)) + 5*sqrt(342)/sqrt(6))/(sqrt(48)*-4 + sqrt(147)*-3). -9*sqrt(19)/74 Simplify (-1*3*sqrt(1200))/((sqrt(5324) - sqrt(5324)*-2)/sqrt(11)). -10*sqrt(3)/11 Simplify (((sqrt(68) - 3*sqrt(68)) + sqrt(68))*-1 - (sqrt(68) + 2*sqrt(68) + sqrt(68))*-6)/((-4*sqrt(176)/sqrt(4))/(-1*sqrt(11)*4))*-4. -100*sqrt(17) Simplify (sqrt(147)*2 + (sqrt(3) + -1)*1)**2 + ((2*(sqrt(84)*3 + sqrt(84) + sqrt(84) - sqrt(84) - sqrt(84) - sqrt(84)))/sqrt(7))**2. -30*sqrt(3) + 868 Simplify -4 + (1*(sqrt(153) + -6*(sqrt(153) - sqrt(153)*-1) + sqrt(153)))/(5*(-1*sqrt(900) - sqrt(900) - sqrt(900)) - sqrt(900)). -4 + sqrt(17)/16 Simplify (5 + (2*(0 + sqrt(98) + 0 + 0 + sqrt(98) + 1) + (sqrt(98) + 2*sqrt(98) + 4 - sqrt(98)) + (sqrt(98) - (4 + 1 + sqrt(98) + sqrt(98))))*-3)**2. -420*sqrt(2) + 22054 Simplify 6*(2 + ((1 + sqrt(11)*2 - sqrt(11))*1 + 2*(sqrt(99) + 1) + -1)**2). 168*sqrt(11) + 3270 Simplify (((sqrt(330) - 1*sqrt(330))*-3)/(sqrt(176)/sqrt(4) - sqrt(11)))/(1*sqrt(48)/((sqrt(32) + sqrt(160)/sqrt(5))/sqrt(4))). 0 Simplify ((2*(3*sqrt(475)*2 - sqrt(475)) - (sqrt(475) + 1 + 3 + 5)) + -5 + 5)**2. -810*sqrt(19) + 38556 Simplify (-6*(-2*-2*sqrt(3) + 1) - (-2*sqrt(3993))/(sqrt(275)*-1)) + 3. -142*sqrt(3)/5 - 3 Simplify ((-2 + sqrt(171) + sqrt(171) - sqrt(171)) + 3 + (-4*2*sqrt(171) - sqrt(171)) + (sqrt(171) + 4)*5*6)**2 + -3. 15972*sqrt(19) + 97402 Simplify (6*-1*sqrt(720)*2)/((sqrt(63) + -1*sqrt(7623))/(1*sqrt(847))) + -5. -5 + 264*sqrt(5)/5 Simplify -2 + ((2*sqrt(108))/sqrt(3) - sqrt(216)/(sqrt(6) + sqrt(6) + sqrt(216)))/(-1*((sqrt(96) + 2*sqrt(96))/sqrt(8) - sqrt(12))*-4). -2 + 15*sqrt(3)/64 Simplify -2*((((sqrt(156) - 6*(sqrt(156) + sqrt(156)*1)) + sqrt(156))*4)/((sqrt(432) - 4*sqrt(432)*-2) + sqrt(432) + sqrt(432))*-2 + -2). -80*sqrt(13)/33 + 4 Simplify -2 + (((sqrt(228) + (sqrt(228) - sqrt(228)*-2))*-2 + (sqrt(228) - 4*sqrt(228)*1))/(sqrt(192) - -4*sqrt(192)*2))**2 + 3. 3595/1296 Simplify -3 + (sqrt(22)/(-3*sqrt(2)) - (-2 + sqrt(33)/sqrt(3))) + 5*(-3*sqrt(44)/sqrt(4) + sqrt(99) + 5). -4*sqrt(11)/3 + 24 Simplify ((((6*(sqrt(110) + sqrt(110)*1 + sqrt(110)) + sqrt(110))*4)/(5*sqrt(10)*1 - (sqrt(50) - sqrt(150)/sqrt(3))/sqrt(5)) + 5)*6)**2. 5472*sqrt(11) + 2309796/25 Simplify (3*3*(sqrt(12) - sqrt(48)/sqrt(4))*-5)/((sqrt(12) + 1*sqrt(12)*2)/(sqrt(3) - 2*sqrt(3)*-5)). 0 Simplify -1*(3 + -1 + -2 + sqrt(684) + sqrt(684) + (-6*(sqrt(684) + sqrt(684)*-2) - ((sqrt(684) - (sqrt(684) + -2*sqrt(684)))*-3 - sqrt(684))))**2. -153900 Simplify ((sqrt(95) + 3*(1*sqrt(95) - sqrt(95)) + sqrt(95) - sqrt(95)) + sqrt(95)*1*3)/((2*sqrt(500) + sqrt(500))*-6). -sqrt(19)/45 Simplify (-2*sqrt(27)*-1*-1 - ((-1*sqrt(252))/sqrt(7))/(-1*sqrt(48)))**2 + -3. 495/4 Simplify (4*sqrt(133)*1)/(1*sqrt(175)) + (sqrt(171) - 2*sqrt(171)*-5)/(sqrt(81)/(sqrt(18)/sqrt(2))). 59*sqrt(19)/5 Simplify 4 + ((3*sqrt(343))**2 - (sqrt(7)*-2 + 1)) + ((sqrt(77) + (sqrt(77)*1 - sqrt(77)))*-2)/sqrt(11)*-1. 4*sqrt(7) + 3090 Simplify (-4 + (sqrt(5)*-5)**2 + 6*(sqrt(5) + -3) - (0 + sqrt(45)/(sqrt(9) + sqrt(900) + sqrt(9) - sqrt(9))*4)) + 3. 62*sqrt(5)/11 + 106 Simplify (-4*(-1 + (sqrt(5) - sqrt(10)/sqrt(2)) + sqrt(5) - (1 + sqrt(5))*-5) + (sqrt(180) + sqrt(180) + 1*sqrt(180))/((sqrt(108)*-1)/sqrt(12)) + 0)**2. 960*sqrt(5) + 4756 Simplify (sqrt(1573)*2)**2 + 0 - (1 + sqrt(13) + -4 - (sqrt(13) + sqrt(143)/sqrt(176))) - (5 + (-3 + sqrt(637) + 1)*6)**2. -16686 + 2353*sqrt(13)/4 Simplify ((sqrt(405) + -3 + sqrt(405))*5 + -2*sqrt(405) + 5 + 6*sqrt(405)*2*3 + -2)**2. -9504*sqrt(5) + 784224 Simplify -3 + (-3 + (sqrt(180) + (-1 + sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(180)) + 3 + (2*(sqrt(5) + 2 + sqrt(5)) - (-1*sqrt(5) + 1)))**2. 44*sqrt(5) + 606 Simplify (6*(6*(sqrt(171) + (-5*(sqrt(171) + 0) - sqrt(171))) + -4*(2 + 2 + sqrt(171))))**2. 117504*sqrt(19) + 7125552 Simplify 6*(-3 + (((sqrt(1900) + 1 + sqrt(1900))*2 + 0)**2 + -5)*-1). -182412 - 960*sqrt(19) Simplify (-1 + -5*-5*sqrt(19)*-3 - ((sqrt(1900) - (1 + sqrt(1900))) + sqrt(19) + 4*sqrt(19) + 2))**2. 320*sqrt(19) + 121604 Simplify (-6*(-5*sqrt(891)*-1*3*-5 + -4)*5 + 2)**2. 4941000*sqrt(11) + 4510702384 Simplify ((sqrt(847) - sqrt(847)*3*3) + -2 + sqrt(847)*6 + -5 + -2)**2. 396*sqrt(7) + 3469 Simplify 2*(sqrt(76) + sqrt(76)*3 + sqrt(76) + -1) - (sqrt(475) + 2 - (sqrt(1539) + 2)). -2 + 24*sqrt(19) Simplify (-3*(6*1*(-5 + (sqrt(468) - (1 + (sqrt(468) - (sqrt(468) + 0 + sqrt(468) + sqrt(468)))))) + 5))**2. -60264*sqrt(13) + 1373337 Simplify 6*(3 + -1*(-3 + (sqrt(98) + sqrt(98)*-2 - sqrt(98)) + sqrt(98) + 5 + -2))**2 + -5. 252*sqrt(2) + 637 Simplify -1*((sqrt(2736) - (sqrt(2736)*1 + -2 - sqrt(2736)))*-6 - (3*(sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 1))*-5))**2)*-6. -149166 + 6048*sqrt(19) Simplify ((3 + (sqrt(48)/(sqrt(12)/sqrt(54)))/(-5*sqrt(24)/sqrt(3) + sqrt(8) + sqrt(80)/((sqrt(10) - sqrt(160)) + sqrt(10))))*3)**2. -36*sqrt(3) + 93 Simplify -4 + (((sqrt(104) - sqrt(104)*2*2) + 1*sqrt(104)*3)/(sqrt(8) + sqrt(392)*-2 + -5*sqrt(8)*-1))**2. -4 Simplify (-1*(-5*((sqrt(468) + -1)*2 + sqrt(468) + sqrt(468) + 1 + 3) - ((sqrt(468) + sqrt(468) + (sqrt(468) - (sqrt(468)*1 + -2) - sqrt(468)))*6 + -1)))**2. 6552*sqrt(13) + 316809 Simplify (-2*(sqrt(171) + 1*sqrt(171)) + sqrt(171) - sqrt(171) - 1*(sqrt(171)*-4 + sqrt(171)))/(((2*sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(180))/sqrt(5)*-1). sqrt(19)/2 Simplify -1*(-1*sqrt(147) + -4) - ((-1*sqrt(1617) - sqrt(1617)) + sqrt(1617))/(-1*(sqrt(11)*1 + sqrt(11))). 4 + 7*sqrt(3)/2 Simplify (-1 + (2*(sqrt(96) + (sqrt(96) - sqrt(96)*-3))*6)/(sqrt(36)/((sqrt(108)*-2)/sqrt(9))))**2. 960*sqrt(2) + 460801 Simplify 6*(((sqrt(2000)*2)/sqrt(4))**2*6 - (3*sqrt(5)*-5 + (sqrt(5) - (-2 + -2 + sqrt(5))))**2). 720*sqrt(5) + 65154 Simplify -1*(-4 + ((-3*sqrt(224)*-1)/(sqrt(28)*6*-4))**2). 31/8 Simplify (sqrt(196)/(sqrt(7) - sqrt(448)) - sqrt(700)*-4)/(sqrt(100)*1 + sqrt(400)*-1). -139*sqrt(7)/35 Simplify -5*(4 + ((sqrt(1008)*1 + sqrt(1008))*2 + sqrt(1008) - 5*(sqrt(1008) + 1 + sqrt(1008))) + 4)**2*3. -378135 + 5400*sqrt(7) Simplify 2 + (sqrt(117) - (sqrt(117) + 2 - sqrt(117))) + (sqrt(117) - (sqrt(117) + 3 + 2)**2) + -1*((sqrt(117) + 0)*-2 + 5). -147 - 18*sqrt(13) Simplify (5*(-2*sqrt(825))/((sqrt(63)/sqrt(3))/sqrt(7)))**2 - ((3 + sqrt(11) + sqrt(99)/sqrt(81))*-5 + 1). 20*sqrt(11)/3 + 27514 Simplify -4 + sqrt(27) - sqrt(96)/sqrt(2) - ((sqrt(324)*-2)/sqrt(12) - (sqrt(3888)*-2)**2). 5*sqrt(3) + 15548 Simplify 5 + ((-6*(sqrt(180) + 1) + -2)*-1 - (-4 + (3 + sqrt(180)*1)*2)). 11 + 24*sqrt(5) Simplify 6*((1 + (sqrt(180) + -2*(sqrt(180) + 0) - (sqrt(180) + 0 + 5)))*3)**2*5. 25920*sqrt(5) + 198720 Simplify -3 + (-2 + -4*(sqrt(1573) + ((sqrt(1573) + 1)*-4 - sqrt(1573) - sqrt(1573) - sqrt(1573)) - (5 + -1*sqrt(1573) - sqrt(1573)))*1)**2. 11968*sqrt(13) + 403841 Simplify ((-5 + 5*(sqrt(68) + sqrt(68)*-2 + 5 + sqrt(68) + sqrt(68)) - (1*(0 + (sqrt(68)*-1 - sqrt(68) - sqrt(68))) + 5))*2)**2. 1920*sqrt(17) + 18308 Simplify -4*((sqrt(343) - (0 + sqrt(343))*4 - sqrt(343) - sqrt(343)) + (0 + sqrt(7))*2 + -4)*1 + 4. 20 + 132*sqrt(7) Simplify (-4*(sqrt(2187) + (sqrt(2187) - 1*sqrt(2187)*-5)))/(-3*sqrt(144) - sqrt(9) - sqrt(729)*-4). -252*sqrt(3)/23 Simplify 3 + (5*(-1 + sqrt(468) + -5 + 2*(sqrt(468) + (2 + sqrt(468) - sqrt(468)) + sqrt(468)))
{ "pile_set_name": "DM Mathematics" }
9625 Find the second derivative of 336874*j**5 + 3*j - 80495 wrt j. 6737480*j**3 What is the second derivative of -3*d**5 - 79*d**4 - 20*d**3 - 1132*d + 18? -60*d**3 - 948*d**2 - 120*d Differentiate 2*d*w**4 - 3*d*w**3 - 22367*d - 169*w**4 wrt w. 8*d*w**3 - 9*d*w**2 - 676*w**3 Find the first derivative of 11*b*l + 139096*b + 1200775*l wrt b. 11*l + 139096 Find the second derivative of -70864*i**2 + 208*i + 98. -141728 What is the second derivative of 4*j**3*w**2 + 80128*j**3*w + 33*j + 4939*w**2 wrt j? 24*j*w**2 + 480768*j*w Find the third derivative of -954*w**4 - 262*w**3 + 141484*w**2. -22896*w - 1572 What is the derivative of -26161*t**2 + 58742? -52322*t Find the first derivative of 11690*d*j**3 - 13792*j**3 wrt d. 11690*j**3 What is the third derivative of -73*h*m**6 + 5*h*m**4 + 2*h*m**3 - 23*h*m**2 - 149*m**2 + 2*m wrt m? -8760*h*m**3 + 120*h*m + 12*h Find the third derivative of -33729*d**2*t**4 - 2*d**2*t + 1143*t**2 wrt t. -809496*d**2*t Differentiate -2*l**2*t - 29141*l**2 - 9079*t wrt t. -2*l**2 - 9079 What is the third derivative of -18761*v**4 + 55032*v**2? -450264*v Differentiate 2*a*x - 152256*a - 124578*x**2 - x with respect to x. 2*a - 249156*x - 1 Find the first derivative of 1396782*w + 3382513. 1396782 What is the third derivative of -114376*g**4 - 3*g**2 + 306*g - 19? -2745024*g Find the third derivative of -9*g**4 + 120724*g**3 + 5*g**2 + 140664. -216*g + 724344 What is the derivative of 417*c*m*v - 1448*c*m + 2*c*v - 46*c - 247*v + 29 wrt m? 417*c*v - 1448*c What is the second derivative of 30915*d**5*u - 12*d**2*u + 2*d*u + 53*d - 411 wrt d? 618300*d**3*u - 24*u What is the derivative of -2*p**3*t**2 + 115*p**3 + 2245*p**2*t**4 - 5*p**2 - 3 wrt t? -4*p**3*t + 8980*p**2*t**3 Differentiate 43181*h**3 - 2*h**2 - 288393 with respect to h. 129543*h**2 - 4*h Find the third derivative of 739004*t**4 - 4*t**2 + 119*t + 259 wrt t. 17736096*t What is the second derivative of 56144*f**4*o**2 - 2*f**3*o**2 - 2*f*o**2 + 11*f*o + 4*f + 51 wrt f? 673728*f**2*o**2 - 12*f*o**2 Differentiate h**2*x + h**2 + h + 64151*x**2 - 3790 wrt x. h**2 + 128302*x What is the second derivative of 136917*s**2 - 262598*s? 273834 Find the second derivative of -91420*m**4 - 12218*m. -1097040*m**2 Find the third derivative of -16895*l**4 - 375*l**2 - 3*l - 12. -405480*l Find the second derivative of -c**2*q*r + 33*c**2*q + 2*c**2*r - 99*c**2 - 3*c*q*r - 2*c - q + 108*r + 16 wrt c. -2*q*r + 66*q + 4*r - 198 What is the second derivative of 809316*t**2*w**2 + 424*t*w**2 + 144*t wrt t? 1618632*w**2 Find the second derivative of 4*a**2*h**3 - 3*a**2*h**2*m*u - 1207*a**2*m*u - a*h**2*u - 10*h**3*m*u - 2*h**3*u + 2*h**2*m*u - 2 wrt a. 8*h**3 - 6*h**2*m*u - 2414*m*u What is the third derivative of 38340*f**2*o**3 - 1969*f**2*o**2 + f**2*o - 40*o**2 wrt o? 230040*f**2 What is the derivative of -2*r**4 + 27586*r**3 - 137279 wrt r? -8*r**3 + 82758*r**2 What is the second derivative of 1676*g**3*n**2*u**3 - g**3*n*u**3 - 46*g**3*n*u + g**2*n*u + g*n*u**3 + 99*g*u - 76*n**2*u**3 wrt n? 3352*g**3*u**3 - 152*u**3 What is the third derivative of 9999*c**4 + 72*c**2 - 73? 239976*c Differentiate 147717*v - 181728 with respect to v. 147717 What is the derivative of -21555*d*j - 3*d + 98171*j wrt d? -21555*j - 3 What is the third derivative of 6353*i**5 + 41*i**4 - 2*i**2 + 115877 wrt i? 381180*i**2 + 984*i Differentiate 603486*h*s + 383*h - 14 with respect to s. 603486*h Find the third derivative of 41331*v**6 - 62577*v**2 wrt v. 4959720*v**3 What is the second derivative of 66*s**3 - 662*s**2 + 166897*s wrt s? 396*s - 1324 Find the second derivative of -636035*c**3 + 27*c + 5028 wrt c. -3816210*c Differentiate -k**3*p**2*r*z + 2*k**3*p**2*z + 114439*k**3*r*z - 3*k**3*z - 14*k*p**2*z + k + 21*p**2*z - 46*p**2 wrt r. -k**3*p**2*z + 114439*k**3*z What is the first derivative of -p*r**2 + 11*p*r + 7*p - 380*r**2 - 14572 wrt r? -2*p*r + 11*p - 760*r Find the third derivative of 2*d**6 - 8193*d**5 + 936*d**2 - 50*d. 240*d**3 - 491580*d**2 Differentiate 2*h**3 + h**2 - 9905*h - 167538 with respect to h. 6*h**2 + 2*h - 9905 Find the second derivative of 14939*f**2*o**3*t + 2*f**2*o**2*t + 2*f**2 - 9*f*o*t + f*t + 4*o**3*t - 2*o - 423 wrt f. 29878*o**3*t + 4*o**2*t + 4 What is the third derivative of -21430*x**5 - 14996*x**2 wrt x? -1285800*x**2 Find the third derivative of 58*m**3*s**2 - 2*m**3*v**2 - 206*m**3 + 4*m**2*s**2 - 3*m**2 + 2*m*s**2*v - s**2*v**2 wrt m. 348*s**2 - 12*v**2 - 1236 What is the third derivative of -j**4*z - 1884*j**4 + j**3*z - 3*j**3 - 662*j**2 - 26*j*z wrt j? -24*j*z - 45216*j + 6*z - 18 Find the second derivative of -713877*m**2*o - 377136*m*o + o wrt m. -1427754*o What is the first derivative of 62*v**4 + 186*v + 30009 wrt v? 248*v**3 + 186 What is the second derivative of 12661*u*w**3*y**2 - 9*u*w*y**2 + 53*u*y**2 + 3*w wrt w? 75966*u*w*y**2 Find the second derivative of -85753*t**4 + 141126*t wrt t. -1029036*t**2 What is the derivative of -n*r**2 - 538906*n*r - 1061172*n wrt r? -2*n*r - 538906*n Differentiate 2239*l**3 - 33*l**2 + 80984 wrt l. 6717*l**2 - 66*l What is the derivative of -896901*f**2*s**3*w - 188743*f**2*s**3 - 3*f**2 - 2*f*s**2*w wrt w? -896901*f**2*s**3 - 2*f*s**2 Find the second derivative of -115244*b*q**2 - 3*b*q - 23*b + 2*q**3 - q**2 + 2757*q wrt q. -230488*b + 12*q - 2 Find the third derivative of -28*b**3*m**4 + 3*b**3 + 37*b**2*m**4 + 3852*b*m**2 wrt m. -672*b**3*m + 888*b**2*m Find the second derivative of 4*f**3*m**2*y - 2*f**3*y + 2*f**2*m**2 - 2*f**2*m*y + 6*f**2*m + 21603*f*m**2*y + 2246*f*m*y - 2*m - 2*y wrt m. 8*f**3*y + 4*f**2 + 43206*f*y Find the first derivative of -1044668*o - 759290 wrt o. -1044668 What is the derivative of 616*f**2*l - 4*f*l*p - f*l + f*p - 82*l*p - l + 105 wrt f? 1232*f*l - 4*l*p - l + p What is the third derivative of -34*t**4 + 4789*t**3 - 770801*t**2 wrt t? -816*t + 28734 Find the third derivative of j**5 + 203*j**4 + 2*j**3 - 80*j**2 + 2*j - 1567 wrt j. 60*j**2 + 4872*j + 12 Find the third derivative of -22180*t**5 + 3*t**4 + t**3 - 102926*t**2 wrt t. -1330800*t**2 + 72*t + 6 What is the third derivative of 3630*k**6 - 49*k**5 + 38128*k**2 - 12*k? 435600*k**3 - 2940*k**2 Differentiate -12*f**2*o + 3*f**2 - 7*f*o + 16*f + 762*o - 71 wrt f. -24*f*o + 6*f - 7*o + 16 What is the first derivative of -30678*k*z**3 - 121714*z**3 wrt k? -30678*z**3 What is the second derivative of -188555*g**4 - 371650*g wrt g? -2262660*g**2 Find the first derivative of 88324*c*f**3*q**2 + f**3*q**2 - 251171*f**3*q wrt c. 88324*f**3*q**2 Differentiate -33961*n + 90638 wrt n. -33961 Differentiate 41910*q**2 - 40199. 83820*q What is the third derivative of -755692*v**5 + 4*v**2 + 4*v + 89 wrt v? -45341520*v**2 What is the third derivative of 5*o**3*q**3 - 446*o**3*q**2 - 102*o**3 + 910*o**2*q**3 - 372*o*q**3 wrt o? 30*q**3 - 2676*q**2 - 612 What is the derivative of 178554*j**4 + 281254? 714216*j**3 What is the third derivative of -86927*b**5 + 7*b**4 - 774*b**2 - 1413 wrt b? -5215620*b**2 + 168*b What is the derivative of -1310878*d**3*o + 2*d**3 - 50*d + 1226 wrt o? -1310878*d**3 What is the third derivative of 863586*n**4 - 403*n**2 - 5 wrt n? 20726064*n Differentiate -7815*a*c*g**3 + a*g - 54*a - 2*c*g**2 + 2*c + 3093*g**3 - 2*g**2 - 3*g wrt a. -7815*c*g**3 + g - 54 What is the first derivative of -7*f*u**3 - 78379*f*u - 1322140*u**3 wrt f? -7*u**3 - 78379*u Differentiate -589732*k - 336268 with respect to k. -589732 Find the third derivative of 119911*c**4 + 4*c**2 - 3984*c - 2. 2877864*c Find the second derivative of q**3 - 2674*q**2 - 80*q - 31. 6*q - 5348 What is the third derivative of -76405*k**4 - 241*k**2 + 66*k wrt k? -1833720*k Find the second derivative of o*x**3 + o*x**2 + 2*o*x - x**3 - 39*x**2 + 509*x - 1 wrt x. 6*o*x + 2*o - 6*x - 78 What is the second derivative of -1058435*d**2 - 4*d - 1774? -2116870 What is the first derivative of -1191574*o**2 - 1637978 wrt o? -2383148*o What is the third derivative of 102255*b*d**4 + 763*b*d**2 + 7*b*d + 4*b - d**4 wrt d? 2454120*b*d - 24*d What is the third derivative of 129554*c**5 + 11307*c**2 wrt c? 7773240*c**2 What is the derivative of 64*j*t**2*v - 39529*j + 4*t**4*v - 322*t*v - 24*v wrt t? 128*j*t*v + 16*t**3*v - 322*v Find the third derivative o
{ "pile_set_name": "DM Mathematics" }
3 = 3*n + 50, -x - g = 0. Calculate the remainder when 48 is divided by (-4)/n + 1503/117. 9 Suppose -14*m = -9*m - 155. Suppose 4*y - y - 2*t = 24, 5*y - 40 = 3*t. Calculate the remainder when m is divided by y. 7 Suppose -93*z + 92*z + 162 = 5*k, 0 = -2*k + 4*z + 56. Calculate the remainder when 203 is divided by k. 11 Suppose 5*b = 2*b + 69. Let g = 45 - b. Calculate the remainder when 42 is divided by g. 20 Suppose -2*r - 3*j + 0 + 113 = 0, j + 274 = 5*r. Suppose 2*y + 3*y = r. What is the remainder when 75 is divided by y? 9 Let l = 46 - 25. Let c be ((-4)/7)/((-6)/l). Suppose 4*g = c*g + 4. Calculate the remainder when g is divided by 2. 0 Let d(s) = s**3 - 18*s**2 + 16*s + 13. Let i be d(17). What is the remainder when 4/(4/15) + i is divided by 5? 1 Suppose z - 12 = -2*z, 5*y + z + 191 = 0. What is the remainder when (-2)/(-6) + (-1274)/y is divided by 5? 3 Suppose 7*j - 3 = 6*j. What is the remainder when j is divided by (-6)/8 - (-22)/8? 1 Let d(v) = v**3 + 7*v**2 - 5*v + 16. Let k be d(-7). Let j = 72 - k. Calculate the remainder when j is divided by 13. 8 Let g = -5 - -1. Calculate the remainder when (57/6)/((-2)/g) is divided by 2 - -18*(-4)/(-8). 8 Let o = 32 + -30. Suppose 5*x = -o*k + 145, -115 = -3*x + 2*k - 12. Calculate the remainder when 60 is divided by x. 29 Suppose -2*y + 134 = 2*i, 0 = 5*i - 5*y - 23 - 292. Calculate the remainder when 208 is divided by i. 13 Suppose 0*m - 3*m + 24 = -4*j, -5*m = -2*j - 26. What is the remainder when 105 - (11 - 3)/m is divided by 21? 19 Calculate the remainder when 10/(-55) + (-12064)/(-44) + -2 is divided by 55. 52 Let m(f) = -f**3 + 39*f**2 + 39*f + 110. Calculate the remainder when 209 is divided by m(40). 69 Suppose -28*l - 179 = -1131. What is the remainder when l is divided by 21? 13 Let d(h) = -11*h - 11. Suppose 0 = 3*l + a + 10, -2*a + 2 = -4*l - 8. What is the remainder when 103 is divided by d(l)? 15 Let p = -4 + 12. Let a(n) = -p*n + 2*n - n**2 - 5 - 6*n. What is the remainder when 44 is divided by a(-10)? 14 Suppose 4*u - 68 = -4*j + 36, 2*j - 80 = -3*u. Suppose 0 = 2*i - 4*f - u, -2 = -i - f - f. What is the remainder when 13 is divided by i? 5 Let t(h) = -h**3 + 8*h**2 - 13*h + 6. Let m be t(6). Suppose 3*a - 10 - 2 = m. What is the remainder when 7 is divided by a? 3 Let x(o) = -7*o**3 + 4*o**2 - 6*o - 1. Let b(j) = j**2 - j. Let c(i) = -4*b(i) + x(i). What is the remainder when c(-2) is divided by 16? 11 Let n(c) = -7*c + 213. What is the remainder when 478 is divided by n(27)? 22 Suppose 2*x - 3*x - 5*y = -360, 368 = x + 3*y. Calculate the remainder when x is divided by 129. 122 Let u(f) = f**3 - 4*f**2 - 9*f + 1. Suppose 7*x + 6 = 5*x. Let y = 2 - x. Calculate the remainder when u(6) is divided by y. 4 Let t(f) = f**2 + 5*f + 6. Let k be t(-5). Let z(r) = 5*r + 1. Let u be z(1). Suppose -k*d = -u - 54. Calculate the remainder when 38 is divided by d. 8 Let r = 222 + -187. What is the remainder when r is divided by 14? 7 Suppose -220 = -10*y + 5*y. Suppose -2*s + y = -4*m, 2*s - 1 = 7. Let u = m - -20. Calculate the remainder when 43 is divided by u. 10 Let i(w) = w**3 - 14*w**2 + 14*w - 9. Suppose 0 = 3*n + n - 40. Suppose -2*j + 0*j + n = 0. Calculate the remainder when j is divided by i(13). 1 Let o = -1128 - -1202. What is the remainder when 517 is divided by o? 73 Let b be 1010/(-85) - 4/34. Let h = -9 - b. Suppose -h*i = k - 30, 3*i + 4*k - 8 = 22. What is the remainder when 17 is divided by i? 7 Suppose -k - 21 + 23 = 0. Suppose -k*d - 20 = -3*d. What is the remainder when 78 is divided by d? 18 Let v = -417 - -438. What is the remainder when 39 is divided by v? 18 Let k(u) = u**2 - u - 4. Let s(m) = -m**2 + 6*m - 3. Let r be s(6). Calculate the remainder when (126/(-24))/((-2)/8) is divided by k(r). 5 Suppose 2*f - 79 = -0*w - 3*w, 4*f = 5*w - 139. Let q(s) = -26*s + 8*s + 2*s**2 + 12*s + 12 - s**2. What is the remainder when q(10) is divided by w? 25 Suppose -7*f + 1134 - 119 = 0. What is the remainder when f is divided by 4? 1 Let z(f) = -3*f + 29. Let n = 49 - 40. Calculate the remainder when 8 is divided by z(n). 0 Suppose -3 - 57 = -3*w. Suppose 4*v + 2*t - w = 0, -2*t = v - 2*v - 5. Suppose -8*u = -v*u - 150. What is the remainder when u is divided by 11? 8 Let k(i) = -i**2 - 17*i + 14. Let g = 65 - 13. What is the remainder when g is divided by k(-17)? 10 Let b = -128 + 67. Let y = -42 - b. Calculate the remainder when 36 is divided by y. 17 Calculate the remainder when 246 is divided by (-24)/(-30) - (-2)/(-20)*-362. 24 Let m be ((40/(-4))/(-5))/((-4)/(-54)). Let l = 36 + m. What is the remainder when l is divided by 13? 11 Let y(n) = -n + 9. Let k be y(-15). Let q be k/(-20)*(-240)/(-9). Let g = q + 49. Calculate the remainder when g is divided by 9. 8 Let w(d) = -d**2 + 6. Let q be w(0). Let k = 15 - q. Calculate the remainder when k is divided by 5. 4 Suppose 4 = -o + 4*d, 0*o + 5*d = 2*o - 4. Suppose -l + 8 + o = 0. Let p(j) = j + 19. Calculate the remainder when l is divided by p(-8). 9 Suppose -4*c - 9*d + 13*d + 180 = 0, -4*c + 175 = -5*d. Calculate the remainder when 87 is divided by c. 37 Let j be (-12)/2*6/12. What is the remainder when (1 - j)*(-198)/(-24) is divided by 9? 6 Let m = 2 + -6. Let o(g) = 4*g**2 - 2*g - 2. Calculate the remainder when o(3) is divided by m/(-16) + (-295)/(-20). 13 Let o(l) = 2*l**2 + 2*l + 8. Calculate the remainder when o(-5) is divided by 34. 14 Let y(f) be the first derivative of -7*f**2/2 + 3*f + 7. Suppose 4*d + 5*w = 61, -w + 4*w - 51 = -4*d. What is the remainder when y(-3) is divided by d? 6 Let f(r) = 45*r - 22. Calculate the remainder when 59 is divided by f(1). 13 Let c(j) = -j**2 + 32*j - 16. Calculate the remainder when c(27) is divided by 63. 56 Let v be 5 + 2*(-1 - 0). Suppose 3*j - v - 1 = -2*t, j + t = 1. Suppose -3*p + 3*s = p - 34, 26 = j*p + 3*s. What is the remainder when p is divided by 6? 4 Let j = -95 - -167. Suppose -18 = -5*z + j. Suppose 0 = -2*s + 3*s - 3*u - 61, s - 64 = 2*u. What is the remainder when s is divided by z? 16 Suppose -26*s = -27*s + 115. Calculate the remainder when s is divided by 13. 11 Suppose -l + 116 = -s, -5*l + 5*s = 4*s - 592. Calculate the remainder when l is divided by 38. 5 Let z = -306 + 471. Calculate the remainder when z is divided by 7. 4 Calculate the remainder when (14 - 10696/(-44)) + 2/(-22) is divided by 3. 2 Let b = 11 - 0. Let a(j) = j**2 - 2*j - 4. Suppose -32 = -4*i - 8. Calculate the remainder when a(i) is divided by b. 9 Suppose -2*d = -5 - 5, 0 = r - 2*d + 10. Suppose r = -8*h - 3*h + 1166. Calculate the remainder when h is divided by 22. 18 Let k = 13 - 13. Suppose k = j + 6. Let s = -2 - j. Calculate the remainder when 7 is divided by s. 3 Calculate the remainder when ((-2205)/588)/(6/(-512)) is divided by 27. 23 What is the remainder when (-1)/4 + ((-1313)/(-52) - -7) is divided by 12? 8 Suppose 0 = 5*h, -4*i + 23 + 377 = -5*h. Let f = -54 + i. Calculate the remainder when f is divided by (11/((-220)/8))/((-2)/60). 10 Suppose -3*t - 3*x = -4*x - 35, -3*x = -3*t + 45. Suppose 72 = 2*q - 3*f, 3*q - 89 = -0*f - 5*f. Calculate the remainder when q is divided by t. 3 Let j = 222 + -74. Let c = -127 + j. Calculate the remainder when 125 is divided by c. 20 Suppose -4*o + 0*o - 8 = 0, -5*u + 51 = -3*o. Let f = u - 0. What is the remainder when (f/6)/(6/44) is divided by 4? 3 Let t = -319 + 537. Calculate the remainder when t is divided by 72. 2 Suppose 5*t = -35 + 85. Let w(u) = u**3 - 11*u**2 + 11*u + 6. Calculate the remainder when 46 is divided by w(t). 14 Suppose f - 22 = 29. Let w = 7 + f. Suppose -4*u + 5 = -5*q + w, 0 = -5*u - 10. What is the remainder when 24 is divided by q? 6 Calculate the remainder when (-5 + 6 - -3) + 219 is divided by 64. 31 Suppose 0*r - 3*r + 39 = y, 2*r + 5*y = 39. Suppose -51 + r = -3*i. Calculate the remainder when (-12 - (-78)/6)/(1/51) is divided by i. 12 Let z = -406 + 432. What is the remainder when z is divided by 9? 8 Let f(u) = u**2 - 20*u - 68. What is the remainder when 81 is divided by f(24)? 25 Let j = 36 - 14. Let w(r) = r**2 - 3*r + 9. Let f(h) = -4*h - 7. Let y be f(-4). Calculate the remainder when w(y) is divided by j. 19 Let h = 85 - 67. Let o = 4 - -1. Calculate the remainder when h + -5 -
{ "pile_set_name": "DM Mathematics" }
) = k**2 - 11*k + 7. Is r(11) prime? True Let g(s) = -22*s + 15. Is g(-13) a composite number? True Suppose b + 4*v = 8 + 10, -3*b - 4*v + 78 = 0. Suppose -6*h = -3*h - b. Is h a composite number? True Let f(t) = t + 1. Let r(y) = 2*y**3 + y. Let d be r(1). Is f(d) a composite number? True Suppose -y + 60 = 2*g - 5*y, 0 = -y - 4. Let x = g - -109. Is x prime? True Is (-2680)/(-16)*(-18)/(-15) a composite number? True Suppose -o = -m + 8, 1 = -3*o - 14. Suppose 0 = 2*c - 4*j - 590, 0 = j + j - 6. Suppose c = m*h + 40. Is h a prime number? False Suppose 2*l + 6 = 4. Let w(k) = -74*k**3. Is w(l) prime? False Suppose 3*w - 43 = 2*w. Let c = 24 + w. Is c prime? True Let s = -4 - -4. Suppose -5*f + 10*f - 530 = s. Is f prime? False Suppose 7*q = 2*q + 1065. Suppose -2*p = p - q. Is p composite? False Suppose 0 = 4*m - 2*m + 4. Is (-1)/(m*4/1192) composite? False Let r(c) = c**2 + 4*c - 2. Let g be r(-5). Suppose -4*l = 0, q + 52 = g*l + 287. Suppose 3*h - q = 2*h. Is h a composite number? True Let z = 30 - 19. Is 4/22 + 1395/z a composite number? False Let w = 1138 + -791. Is w prime? True Let u(b) = b**2 - b. Let d = 4 + -3. Let c be u(d). Suppose 140 = 3*n + 4*j - 299, 3*n - 5*j - 430 = c. Is n a composite number? True Let o(p) = 78*p**2 - 2*p - 1. Is o(2) a composite number? False Suppose 4*y - 16 = -0*y. Is 586/(y - (6 + -4)) composite? False Let a be 571 + (6/2 - 7). Let l = 964 - a. Is l composite? False Is -11156*6/(-60) - 3/5 a composite number? True Suppose 4*q - 5*z + 35 = 0, 0*z + 2*z - 38 = 4*q. Let k = -6 - q. Suppose k*x - 154 = -h, -5*h - 57 = -4*x + 109. Is x composite? True Let t(f) = 118*f - 3. Is t(2) a composite number? False Let b(j) = -j**3 + 6*j**2 + 4*j - 1. Let r = -7 + 7. Suppose m = 6 - r. Is b(m) prime? True Suppose -3*y + 408 = y. Let d = -178 + y. Let o = d - -261. Is o a prime number? False Let m be (9/(-1))/(6/(-4)). Is m/9 + (-2234)/(-6) prime? True Suppose 3*r - 22 = -4*y, -3*r - r + 16 = 2*y. Let p(t) = t**2 + y*t + 3 - 4*t - 2. Is p(6) prime? True Suppose -3*n - 2*p = 0, -2*n + 3*p + 0*p = 0. Let s = 37 - n. Is s a prime number? True Let j(z) = 12*z - 5. Let o(h) = -13*h + 6. Let q(d) = -3*j(d) - 2*o(d). Is q(-5) a prime number? True Let i(y) = 2*y - 8 + 15 - 3*y. Let u be i(5). Suppose 0 = -u*f + 4 + 58. Is f a prime number? True Let t = -26 - -20. Let c(f) be the third derivative of f**5/10 - f**4/8 + f**3/6 + f**2. Is c(t) prime? False Let j(f) = f + 1. Let d be j(-2). Let y(r) be the third derivative of 13*r**5/12 - r**4/24 - r**3/6 + 2*r**2. Is y(d) a composite number? True Let m(w) = 33*w**2 - 19. Is m(6) prime? False Let y = 2637 + -1550. Is y a composite number? False Suppose 1402 = y + y. Is y a composite number? False Let w(i) = 6*i + i**2 + 7 + 2*i**2 - 4*i**2. Let o(k) = -k - 5. Let g be o(-11). Is w(g) composite? False Suppose -4*n = -35 - 313. Let i = 61 + n. Suppose 3*s - i = -s. Is s prime? True Is ((-9878)/(-33))/((-2)/(-3)) a composite number? False Suppose 2*j + 53 - 351 = 0. Is j prime? True Let c = -1972 - -3251. Is c a prime number? True Let h(w) = 48*w + 1. Let x be h(1). Suppose -x = 4*z + 59. Let c = z - -38. Is c prime? True Suppose v + 0*v - 2 = 0. Suppose -3*y + 37 = -v*y. Is y a composite number? False Let q = -2060 + 4629. Is q a prime number? False Suppose 0 = -6*v + 3*v + 2661. Is v prime? True Let g(j) = j**3 - 4*j**2 - 9*j + 5. Is g(7) a composite number? False Suppose -5*k + 400 = -o, -2*k + 3*o = -63 - 110. Is k composite? False Suppose -3*z + 106 = 439. Is 2/(-3)*z/2 prime? True Let q = 3064 + -1847. Is q a composite number? False Let f(t) be the second derivative of -t**4/4 - t**3 - 2*t**2 + 2*t. Let n be f(-4). Let a = n - -47. Is a a prime number? True Let p be (-1 + (-10)/(-6))*489. Suppose n - p = -n. Is n a prime number? True Let b = -7 - -12. Suppose a - 2*a = b*d - 25, -20 = -4*a. Let y(p) = 11*p - 1. Is y(d) a prime number? True Let c be (-7)/((2/2)/1). Let n = 7 + c. Is ((-20)/(-2))/(n + 1) composite? True Suppose -64 = 2*n - 4*f, -f = -4*n + 2*f - 153. Suppose 4*p - 68 = -3*x + 191, -93 = -x + 2*p. Let a = x + n. Is a a composite number? False Suppose 0 = 2*p - 3*c - 1097, 4*p - 2336 = c - 127. Is p prime? False Suppose 0*q = 4*q + 16. Let g be -6*(2/q + 0). Suppose 80 + 151 = g*r. Is r composite? True Let o = 267 - 56. Is o a prime number? True Let z(r) = 6*r**3 - r**2 + r - 1. Let s be z(1). Suppose s*n = 10*n - 165. Is n a prime number? False Suppose 0 = 5*q, -111 = -b - q + 698. Is b composite? False Suppose -7*k = -2137 - 1020. Is k a composite number? True Is (-2407)/(-5) - 4/10 composite? True Let c(q) = -3*q**3 + 3*q**2 + 7*q - 2. Let r(a) = -5*a**3 + 4*a**2 + 11*a - 3. Let p(m) = -8*c(m) + 5*r(m). Is p(-6) a prime number? True Let d(z) = 3*z**2 - 33*z + 10. Let k(q) = 4*q**2 - 49*q + 15. Let f(l) = -7*d(l) + 5*k(l). Let a(m) = 3*m + 6. Let v be a(-4). Is f(v) composite? False Let l(g) = -g + 10. Let a be l(8). Let f = a - -19. Is f a prime number? False Suppose m - 2 = -i + 1, -24 = -5*i - 2*m. Is i/21 + 887/7 composite? False Suppose d - 204 = -2*d. Suppose -x + 91 = -0*x. Let q = x + d. Is q prime? False Suppose q - 52 = 133. Is q a composite number? True Suppose 3*j = -12, 0 = 2*i + 2*j + 3*j + 10. Suppose -i*n = -5*u + 715, -5*n - 230 = -u - 75. Is u/6 - 3/9 prime? True Suppose -108 = -2*p - 2*z, 12 = -4*z + 8*z. Is (8/12)/(1/p) composite? True Let i(w) = 836*w - 5. Is i(1) prime? False Suppose 2*f + 4 = 2*w, 2*w + 5*f + 2 = 13. Suppose 0 = -3*s, -4*s + 87 = w*x + s. Is (4 - x)*(0 - 1) composite? True Let q = -5203 - -9770. Is q composite? False Let z(o) = o**3 - 10*o**2 + 10*o - 7. Let j = -4 + 13. Let n be z(j). Suppose -5*s = 4*p - 4*s - 53, 0 = n*s - 2. Is p a composite number? False Is ((-56452)/66)/(4/(-6)) a composite number? False Suppose 2*m = -4 - 6. Let w = 5 + m. Suppose w = -5*y + 6*s - 4*s + 57, -3*s = 2*y - 38. Is y a prime number? True Suppose 5*h = 6633 - 1058. Is h a prime number? False Suppose -7*p - 1058 = -9*p. Is p prime? False Suppose -i = -4*i - 3. Let r be (0 + i)/((-5)/(-1165)). Is (-2)/3 - r/3 a composite number? True Suppose 9*t - 22888 = t. Is t a prime number? True Let w be (-3)/(-3)*(0 - 0). Suppose -3*o - d = -4*d - 9, w = -2*o - 5*d + 20. Suppose -o*k = 2*n - 97, -3*k + 58 - 15 = 5*n. Is k prime? False Let m = 671 - -242. Is m a composite number? True Suppose -3*x - x + 332 = 0. Let c = 160 - x. Is c a composite number? True Is 160 + 1 + (1 - -1) composite? False Suppose -10*r - 2301 = -13*r. Is r a prime number? False Let j be (-4)/(-4) + 0 + -1. Suppose j = -4*w + 12 - 0. Is (-15)/(-2)*14/w prime? False Let d(j) = -j**3 - 4*j**2 - 2*j + 4. Let g be d(-3). Is 153/3 + (-1 - g) a composite number? True Suppose 12 = -2*l - 0*b - b, -5 = l + b. Let n(h) = -36*h - 1. Is n(l) a prime number? True Suppose h = i, 5*i + 3*h + 0*h + 24 = 0. Let f = 3 + i. Is 2 + (55 - f) + -2 a composite number? True Suppose 0 = 2*s + 2*j - 790, 6*s - 2*j = 3*s + 1180. Suppose -3*c = 2*v - s, -6*v + 5*v - 3*c + 203 = 0. Is v composite? False Let k(p) = 329*p - 1. Suppose 4*m + 27 = -5*t - 2, -17 = 2*m + 3*t. Let r be k(m). Let x = r + 521. Is x a prime number? True Suppose -3*t - 402 = -1323. Is t a prime number? True Suppose -5*b + 4*v + 6339 = 0, -1682 = -4*b - 4*v + 3382. Is b prime? False Let g = 5 + -7. Is 1/(g/((-762)/3)) a prime number? True Let h be 9/6*8/6. Suppose h*q - 16 = -l - q, -3*l = 3*q - 30. Is l composite? False Let b be 4 + -5 + 86/2. Suppose -5*r + 5 + 35 = -2*c, 0 = -2*c + 4*r - b. Let z = 6 - c. Is z a composite number? False Suppose 2*z - 4*z = -82. Suppose -2*x = z - 107. Suppose -a + 56 = -x. Is a composite? False Let f(y) = 10*y - 2. Let c(s) = 9*s - 2. Let h(a) = -4*c(a) + 3*f(a). Let v(i) = -2*i**2 - i. Let k be v(-2). Is h(k) a composite number? True Let t be -2*(-3)/(6*-1). Let l be (6/(-9))/(t/(-3)). Is (2 - 4)*37/l a composite number? False Suppose 58*r = 64*r - 2130. Is r prime? False Suppose k - 3*k = l - 3603, -5*k + 18025 = 5*l. Is l composite? False Suppose 0 = 3*r + 960 + 135. Is r/(-4) + (-7)/28 composite? True Let p(g) = -2*g**3 - 12*g**2 - g + 22. Is p(-9) prime? False Let h = 6 - 4. Let n(b) = -18*b**3 - 2*b**2 + b + 2. Let x be n(-2). Suppose 298 = h*s - x. Is s a prime number? False Suppose b + 151
{ "pile_set_name": "DM Mathematics" }
19 - -4? -115 In base 13, what is -6 - 24? -2a In base 8, what is 47 + -44? 3 In base 16, what is -2 + -23d? -23f In base 5, what is -324 - 441? -1320 In base 6, what is 21 + 22? 43 In base 9, what is -2073 + -4? -2077 In base 13, what is 1 + 3b? 3c In base 5, what is -112 - -41? -21 In base 8, what is 2 + 1522? 1524 In base 16, what is 482 + 4? 486 In base 16, what is -159 + -1b? -174 In base 9, what is 55 + 0? 55 In base 4, what is 2 + 210031? 210033 In base 11, what is 50 - -21? 71 In base 16, what is 8 + -15? -d In base 8, what is -14 + 115? 101 In base 6, what is -1 + -2053? -2054 In base 15, what is -21 + -c? -2d In base 16, what is 0 + -3cb? -3cb In base 4, what is -232 - 100? -332 In base 2, what is -100100100 + 101? -100011111 In base 10, what is -4 - 941? -945 In base 5, what is 2 - 110333? -110331 In base 10, what is -2 + -649? -651 In base 13, what is -1467 + -1? -1468 In base 10, what is 4 - -37? 41 In base 16, what is 4 + 50? 54 In base 14, what is 1 - 6a? -69 In base 8, what is -2 + 1233? 1231 In base 5, what is -113302 - 0? -113302 In base 15, what is 4066 + -2? 4064 In base 3, what is 21 + -12002? -11211 In base 15, what is 1c - -de? 10b In base 10, what is -3 - -438? 435 In base 3, what is -2002 - 1112? -10121 In base 5, what is 10 - 140? -130 In base 8, what is 113 - 2? 111 In base 11, what is 24aa - 5? 24a5 In base 11, what is -8 - 1539? -1546 In base 7, what is -14650 + 5? -14642 In base 3, what is 1002110 - -1? 1002111 In base 7, what is -2640 + 3? -2634 In base 3, what is -11112 + 12012? 200 In base 13, what is 2 - 4? -2 In base 15, what is -5 + 30? 2a In base 15, what is -9b - 4? -a0 In base 3, what is -12 - -2120? 2101 In base 2, what is 11100 - 0? 11100 In base 16, what is 7 - -1ad? 1b4 In base 3, what is 10012 - 12? 10000 In base 13, what is -2 + 183? 181 In base 3, what is -2011021 + 2? -2011012 In base 4, what is -113100 - -3? -113031 In base 16, what is -6d1 - -5? -6cc In base 3, what is 220 + -2? 211 In base 9, what is 1220 + 2? 1222 In base 5, what is -1420102 - 2? -1420104 In base 16, what is 0 - -872? 872 In base 5, what is 13240 + 3? 13243 In base 5, what is -104 - -230? 121 In base 12, what is 9 + -209? -200 In base 7, what is 1 - 1060? -1056 In base 14, what is -24d + 1? -24c In base 14, what is 58 - -1? 59 In base 3, what is 2 - 1011? -1002 In base 5, what is 143324 - -2? 143331 In base 6, what is 1044 + -4? 1040 In base 16, what is -5 - -ad8? ad3 In base 4, what is 10 - -133212? 133222 In base 6, what is -11252 + 2? -11250 In base 10, what is -4 - 2? -6 In base 3, what is 12 - 22110? -22021 In base 15, what is -122 + 3? -11e In base 7, what is -20 - -111? 61 In base 10, what is -3 - -975? 972 In base 16, what is -22e5 + 5? -22e0 In base 15, what is 19c + -3? 199 In base 6, what is 2 + 131? 133 In base 11, what is -2 - 704? -706 In base 13, what is -a - -15? 8 In base 3, what is 111220 + 100? 112020 In base 3, what is 1100 + 120? 1220 In base 16, what is 105 + -1? 104 In base 6, what is 5 + -111? -102 In base 13, what is 1 + -1647? -1646 In base 10, what is -31 + 21? -10 In base 13, what is 5 - -238? 240 In base 12, what is 39 - -2? 3b In base 10, what is -21 + -228? -249 In base 14, what is 2 - -14? 16 In base 7, what is -4330 + 3? -4324 In base 15, what is -4 + 2b9? 2b5 In base 5, what is -32 - -11? -21 In base 2, what is -110001011 - 0? -110001011 In base 4, what is 20 - -10020? 10100 In base 15, what is 3 - -13c? 140 In base 6, what is -3 - 55? -102 In base 8, what is -21 + 410? 367 In base 16, what is 28 + -9? 1f In base 4, what is -1021300 + 1? -1021233 In base 2, what is 11110110 - -1101? 100000011 In base 2, what is -11000000 - 100? -11000100 In base 16, what is -175 - -4? -171 In base 10, what is 1 - 2506? -2505 In base 3, what is -11 - -220? 202 In base 10, what is -434 + 2? -432 In base 10, what is -11541 - 4? -11545 In base 3, what is -2 + -111? -120 In base 12, what is 262 - 5? 259 In base 4, what is 11 - 222? -211 In base 15, what is -2 + 20? 1d In base 7, what is -146 + -2? -151 In base 6, what is -133 + 14? -115 In base 4, what is -3200 - -113? -3021 In base 15, what is 3 + -132? -12e In base 6, what is 204 - -152? 400 In base 16, what is -1d + -36? -53 In base 3, what is 1 - -122201? 122202 In base 8, what is 3 + -31? -26 In base 5, what is -10 - 21? -31 In base 4, what is -23 + -2231? -2320 In base 2, what is 0 + -11001? -11001 In base 11, what is 62 - 3? 5a In base 14, what is 984 + -3? 981 In base 6, what is -5 - -1235? 1230 In base 2, what is -100101011 - -110? -100100101 In base 15, what is 1 - -2d? 2e In base 14, what is 0 + 5b? 5b In base 8, what is -506 + 4? -502 In base 10, what is 4 - 2263? -2259 In base 9, what is 11347 - 0? 11347 In base 14, what is -15 - 12? -27 In base 10, what is 686 + -6? 680 In base 15, what is -c - c? -19 In base 11, what is 952 - 0? 952 In base 6, what is 21 - 43? -22 In base 14, what is -1 + 5? 4 In base 9, what is -86 - -8? -77 In base 14, what is 65 + -b? 58 In base 13, what is a + -146? -139 In base 6, what is -1033 - 0? -1033 In base 5, what is -14443 + -23? -20021 In base 2, what is 1011001001 - -1? 1011001010 In base 9, what is 3 - -87? 101 In base 14, what is 8b2 - -5? 8b7 In base 13, what is 736 - 5? 731 In base 7, what is 1564 + -41? 1523 In base 9, what is -87 - 5? -103 In base 7, what is 1 + -1201? -1200 In base 7, what is 0 + 534? 534 In base 3, what is -101211 - -20? -101121 In base 5, what is -301 + 2104? 1303 In base 6, what is -113 + -21? -134 In base 4, what is -32031 + 2? -32023 In base 3, what is -11200 + 10? -11120 In base 15, what is -4 - -a4? a0 In base 6, what is 4 - 203? -155 In base 16, what is -12 - 0? -12 In base 4, what is -311 - 1? -312 In base 7, what is 42 - -2? 44 In base 9, what is 12284 + -2? 12282 In base 3, what is -1012200 + -1? -1012201 In base 16, what is 5 - 5f? -5a In base 10, what is 6 - -398? 404 In base 13, what is 2b - 2? 29 In base 9, what is -38 + 13? -25 In base 16, what is -4b - 5? -50 In base 9, what is 2 + 70? 72 In base 2, what is 101 - 1101001? -1100100 In base 4, what is -20101 + 112? -13323 In base 5, what is -144114 + -4? -144123 In base 10, what is 3 - -527? 530 In base 4, what is 11 - 300? -223 In base 15, what is -5 + 4b? 46 In base 9, what is -2230 + 0? -2230 In base 15, what is -47 - -5? -42 In base 3, what is 11000 + -20? 10210 In base 8, what is -10124 + -1? -10125 In base 6, what is 1510 - -3? 1513 In base 8, what is -22 + -3? -25 In base 16, what is 60f - 4? 60b In base 13, what is 193 - c? 184 In base 9, what is 345 - -1? 346 In base 8, what is 31 - 432? -401 In base 14, what is -4 + 2c? 28 In base 2, what is 11011 - -101000? 1000011 In base 7, what is -546 + 4? -542 In base 8, what is 6 + 3360? 3366 In base 4, what is -11 - -2302? 2231 In base 4, what is 200033 + 2? 200101 In base 2, what is -1000100 - -1000? -111100 In base 6, what is 12 + -3155? -3143 In base 2, what is 100110100110 + -11? 100110100011 In base 12, what is 6b - 4? 67 In base 6, what is -102300 + 1? -102255 In base 14, what is -1c - -11? -b In base 2, what is 11100100 - 101? 11011111 In base 12, what is 19 - -39? 56 In base 3, what is 110000 - 11? 102212 In base 7, what is 104 + 11? 115 In base 13, what is 8 - -38b? 396 In base 3, what is 12102 + -12? 12020 In base 9, what is 2 + -71? -68 In base 10, what is -8 + -59? -67 In base 11, what is 60a + 5? 614 In base 13, what is 3 - -3a? 40 In base 14, what is 56 + -4? 52 In base 15, what is -8 + 15? c In base 11, what is -50 + -5? -55 In base 13, what is -3 + 12? c In base 16, what is 2 - 34? -32 In base 14, what is 2 + 29? 2b In base 4, what is 1000 + -202? 132 In base 4, what is -212000 - 0? -212000 In base 8, what is 151 + 2? 153 In base 16, what is 5 + -1? 4 In base 8, what is 1 + -235? -234 In base 4, what is 12 - 1? 11 In base 7, what is -14 - 135? -152 In base 15, what is -5 - -b28? b23 In base 12, what is -304 - -5? -2bb In base 6, what is 0 - 2110? -2110 In base 16, what is -2 - -16ba? 16b8 In base 14, what is 23b - 4? 237 In base 5, what is 10 - 11210? -11200 In base 7, what is 1416 - 2? 1414 In base 2, what is 101 - -1100000111? 1100001100 In base 13, what is 3 - -111? 114 In base 4, what is 20 - 1000? -320 In base 11, what is 733 + -3? 730 In base 2, what is
{ "pile_set_name": "DM Mathematics" }
3. Give x(j(w)). -22*w**2 Let q(v) be the second derivative of 2*v**4/3 - 4*v - 13. Let j(x) = -44*x. Calculate j(q(n)). -352*n**2 Let c(r) be the third derivative of -2*r**4/3 + 5*r**2. Let p(g) = -15*g**2 - 22*g**2 + 15*g**2 + 20*g**2. Give p(c(o)). -512*o**2 Let s(c) be the second derivative of c**7/1260 + 13*c**4/6 + 15*c. Let j(y) be the third derivative of s(y). Let h(k) = 10*k. What is h(j(w))? 20*w**2 Let q(o) = -214*o**2. Let t(v) = -24*v - 8. What is t(q(i))? 5136*i**2 - 8 Let z(j) = 9*j**2. Let g(f) = 2*f - 7. Let c be g(6). Suppose 3*r - c = -2. Let l(m) = 1 - 2*m - r. Determine l(z(s)). -18*s**2 Let f(u) be the third derivative of -u**4/24 - 3*u**2. Let c(r) = -78*r. Let d(l) = 6*l. Let b = 13 - 15. Let s(i) = b*c(i) - 27*d(i). Determine s(f(x)). 6*x Let i(w) = 5*w. Let s(a) be the second derivative of -a**3/3 + 12*a. Let z(n) = 4*i(n) + 9*s(n). Let x(r) = -5*r**2. Calculate z(x(t)). -10*t**2 Let c(o) = 4*o. Let s(q) = 8*q**2 + 6*q - 4. Let f(p) = -23*p**2 - 17*p + 11. Let k(l) = -6*f(l) - 17*s(l). Determine c(k(a)). 8*a**2 + 8 Let t(a) = -2*a**2 + 6*a. Let d(u) be the first derivative of 8*u**3/3 + 294. Determine t(d(h)). -128*h**4 + 48*h**2 Let b(p) = 2*p. Let u(a) = -8*a - 12. Let d be u(-5). Let j = d - 26. Let l(t) = 7*t**j - 10*t**2 + 5*t**2. Calculate l(b(m)). 8*m**2 Let i(d) = 558*d. Let g(z) = -7*z**2 + 6*z. Let t(s) = 6*s**2 - 5*s. Let a(n) = -5*g(n) - 6*t(n). Determine a(i(v)). -311364*v**2 Let t(q) = -q**2. Let b(s) be the third derivative of -s**4/8 - 5*s**3/3 - 5*s**2. Let r be b(-4). Let g(m) = -5*m + 9*m - 4*m - m**r. Give t(g(n)). -n**4 Let v = 5345/2 - 2672. Let f(b) be the first derivative of -7 + v*b**2 + 0*b. Let i(x) = -29*x. Calculate f(i(l)). -29*l Let w(b) = 67064*b. Let j(x) = 4*x. Calculate w(j(o)). 268256*o Let v = -8 + 9. Let z(o) = v + 1 - 2 - 2*o. Let f(x) = 5*x - 7*x + x. Give f(z(k)). 2*k Suppose -3*m + 2 = -2*m. Let y(z) = -12*z**m + z**2 + 7*z**2. Let v(j) = -j**2. What is y(v(w))? -4*w**4 Let f(z) = 1 - 2 + 2 - 2*z + 8 + 1. Let u(b) = 9*b. Give u(f(j)). -18*j + 90 Suppose -1 = -x - 3, 5*x + 2 = 4*n. Let b be -1*(n - -2) + 2. Let r(g) = g + b*g + g. Let k(z) = z. Give k(r(f)). 4*f Let d(v) = -2874*v + 15. Let f(s) = -s**2. Give d(f(t)). 2874*t**2 + 15 Let t(a) = 13*a. Let w(y) be the third derivative of y**4/24 + 106*y**2. Determine t(w(q)). 13*q Suppose -5*d = -11 - 24. Let s(a) = -12*a + 9 - 18 + d. Let v(y) = 2*y. Determine s(v(l)). -24*l - 2 Let f(t) = -5*t**2. Suppose 0 = 5*k - 135 + 35. Let p(m) = -k*m + 20*m + 2*m**2. What is f(p(r))? -20*r**4 Let m(r) be the second derivative of r**3/3 - 104*r. Let j(b) = 3*b. Give j(m(f)). 6*f Suppose -4*x - 12 - 48 = 0. Let m be 6/x + 136/40. Let s(w) = m*w - 23*w**2 - 3*w + 17*w**2. Let z(o) = -2*o. Calculate z(s(k)). 12*k**2 Suppose u = 5*k - 12, 4*u + k - 31 - 5 = 0. Let h(d) = u*d**2 + 8*d**2 - 15*d**2. Let v(f) = 3 - 3 - 2*f**2. Give v(h(x)). -2*x**4 Let u(p) = 3*p**2. Let v(q) = -5*q**2. Let g(s) = -7*u(s) - 4*v(s). Let x(y) be the first derivative of 0*y + 44 - 7/2*y**2. What is x(g(c))? 7*c**2 Let x(t) be the third derivative of -t**4/24 - 88*t**2. Let a(l) = 11*l - 3. Calculate a(x(g)). -11*g - 3 Let t(a) = a. Let f(j) = 294442*j. Give f(t(c)). 294442*c Let f(i) = 3*i**2 + i. Let r(b) = -25*b**2. Give r(f(m)). -225*m**4 - 150*m**3 - 25*m**2 Let g(f) = -9*f - 10. Let q(y) = -2*y - 2. Let t(h) = -g(h) + 5*q(h). Let v(m) = -140*m. Give t(v(u)). 140*u Let s(x) = -708 - 21*x - 706 + 1414. Let l(d) = 16*d**2. What is s(l(b))? -336*b**2 Let p(l) = l**2. Let d(y) be the second derivative of 7/3*y**3 + 2*y + 0*y**2 - 13. Give p(d(g)). 196*g**2 Let t(y) = 6*y**2. Let r(f) = -4*f + 1. Let o(w) = -29*w - 2. Let s(k) = -o(k) - 2*r(k). Determine s(t(d)). 222*d**2 Let x(y) be the first derivative of -3*y**3 - 497. Let f(a) = -2*a**2 - 3*a. Let d(q) = -3*q**2 - 4*q. Let s(o) = -3*d(o) + 4*f(o). Determine s(x(p)). 81*p**4 Let u(f) = 2*f. Let j(m) = -53747*m**2 + 1. Determine u(j(y)). -107494*y**2 + 2 Let d(w) = -4*w. Let x(o) = -8*o**2 - 10*o + 12. What is d(x(v))? 32*v**2 + 40*v - 48 Let y(m) = -7*m**2 - 6*m - 2. Let q(d) = d**2 + 2*d + 1. Let u(s) = -3*q(s) - y(s). Let l(p) = -p. Determine u(l(c)). 4*c**2 - 1 Suppose -20 = -5*w, 0 = -k + 6*w - w - 18. Let j(x) = x - 3*x - k*x + 2*x. Let y(h) = h + 1. Let s(p) = -3*p - 6. Let u(f) = -s(f) - 6*y(f). Calculate u(j(b)). 6*b Let i(v) = 5*v - 3*v + 5*v**2 - 2*v. Let s(z) be the third derivative of z**4/12 + 9*z**2 + 5*z. Determine s(i(g)). 10*g**2 Let x(k) = -375*k**2 + 144. Let l(b) = -3*b. Calculate l(x(t)). 1125*t**2 - 432 Let y(m) = 8*m - 2. Let l(c) = 16954 - 2*c**2 - 16954. What is y(l(i))? -16*i**2 - 2 Let b(h) = 13*h**2 - 6*h. Let p(w) = -12*w**2 + 5*w. Let y(a) = 5*b(a) + 6*p(a). Let z(i) = 6*i. Determine z(y(v)). -42*v**2 Let j(r) = -2*r + 1. Let o(l) = 15*l - 11. Let f(d) = 8*d - 5. Let g(i) = 7*f(i) - 3*o(i). Let t(q) = 2*g(q) + 4*j(q). Let s(y) = -3*y**2. Determine t(s(n)). -42*n**2 Let v(h) = -324*h**2. Let f(c) = -30*c**2 - 2. Calculate f(v(w)). -3149280*w**4 - 2 Let x(b) = 4*b**2. Let h(m) = 164*m**2 - 83*m**2 - 75*m**2. Determine x(h(a)). 144*a**4 Let u(v) = 83*v**2 - 3*v - 1. Let a(m) = -499*m**2 + 17*m + 6. Let s(k) = -6*a(k) - 34*u(k). Let j(t) = 2*t**2. Calculate j(s(q)). 59168*q**4 - 1376*q**2 + 8 Let d(h) = h + 3. Let t(g) = 7*g + 18. Let y(f) = -6*d(f) + t(f). Let j(n) = -719*n. Calculate j(y(w)). -719*w Let s(n) = -18*n + 14. Let q(y) = -5*y**2 - 18. What is s(q(p))? 90*p**2 + 338 Let t(m) = -9*m**2. Suppose 1 = 18*b + 1. Let h(y) be the third derivative of 0*y**3 - 2*y**2 + b + 1/12*y**4 + 0*y. What is h(t(n))? -18*n**2 Let c(j) be the second derivative of j**3/3 + 5*j + 4. Suppose 2*t - 7 = 3. Let x(g) = t*g + 4*g - 3*g. Give x(c(y)). 12*y Let b(n) = 15*n**2 - 18*n. Let h(y) = -y**2 + y. Let k(x) = -b(x) - 18*h(x). Let u(r) = 58*r**2. Determine k(u(m)). 10092*m**4 Let u(x) = -22*x. Let g(y) = 2 + 300*y - 307*y - 2. Let i(w) = 11*g(w) - 4*u(w). Let q(j) = 2*j**2. Determine q(i(s)). 242*s**2 Let s(c) = c**2 + 4*c + 4. Let v(i) = -9 - 3*i**2 - 72*i - 2 + 61*i. Let q(h) = 11*s(h) + 4*v(h). Let g(w) = 4 - 3*w - 4. Determine q(g(n)). -9*n**2 Let g(w) = -w**2. Let k(a) = -a - 4. Let n(f) = 3. Let r = -77 + 80. Let d(j) = r*k(j) + 4*n(j). Give g(d(v)). -9*v**2 Let k(y) = 3 - 2*y**2 - 3. Let i(c) = 10*c**2. Let f(r) = 9*r**2 + 1. Let t(o) = -3*f(o) + 2*i(o). Let v(w) be the first derivative of t(w). Determine k(v(u)). -392*u**2 Let m(p) = 3*p. Let o(x) be the second derivative of 0 + 11*x + 0*x**2 - 1/6*x**3. Determine m(o(r)). -3*r Let v(d) = -11*d**2 + 10*d**2 + 8*d**2 - 9*d**2. Let m(x) = -2*x. What is v(m(t))? -8*t**2 Let c(h) = -34223*h. Let w(z) = -z. Give w(c(k)). 34223*k Let k(w) be the first derivative of 13*w**6/180 - 20*w**3/3 + 16. Let v(x) be the third derivative of k(x). Let s(j) = j. Determine v(s(u)). 26*u**2 Let a(h) = -1. Let f(s) = 208 - 2*s - 214 + s. Let m(u) = -6*a(u) + f(u). Let l(r) = 0 - 6*r**2 - 1 + 1. Determine l(m(z)). -6*z**2 Let a(l) = l. Let t(d) = d**2 + d. Let w be t(1). Let k(b) = 2*b - 2*b + 0*b + 5*b**w. Determine a(k(q)). 5*q**2 Let d(f) be the second derivative of f**4/6 + 29*f + 15. Let i(r) be the second derivative of -r**4/4 + 3*r. Give d(i(t)). 18*t**4 Let f(n) = 3073162*n**2. Let t(j) = -j**2. Calculate f(t(v)). 3073162*v**4 Let t(q) = 11*q. Let a(j) = 95289*j**2. Give t(a(n)). 1048179*n**2 Let s(h) be the first derivative of -h**2/2 - 14. Let b(l) = -162*l**2. What is s(b(g))? 162*g**2 Let b(y) = 64*y**2. Let a(x) = -8*x. Let c(t) = -24*t. Let o(j) = -7*a(j) + 2*c(j). What is o(b(n))? 512*n**2 Let z(r) = 723535*r. Let g(b) = 9*b. What is g(z(f))? 6511815*f Let b(c) = 3*c**2 - 6*c**2 - c**2. Let q(z) = 15 - 11 - 4 - z. Calculate b(q(w)). -4*w**2 Let g(w) be the first derivative of -5*w**3 - 85. Let j(z) = 3*z**2. Calculate g(j(f)). -135*f**4 Suppose 0 = -8*d + 4*d - 3*u + 42, d - 6 = -3*u. Let h(t) = 15*t - d*t - 5*t. Let y(o) = -2*o. Give h(y(l)). 4*l Let o(v) be the third derivative of 0 + 0*v + 41*v**2 - 13/8*v**4 + 0*v**3. Let a(m) = m**2. Give o(a(r)). -39*r**2 Let m(k) = -182*k + 210. Let i(f) = -3*f. Calculate i(m(w)). 546*w - 630 Let d(j) be the second derivative of -j**3/6 - 29*j**2/2 + 599*j. Let r(w) = 3*w**2. Give d(r(q)). -3*q**2 - 29 Le
{ "pile_set_name": "DM Mathematics" }