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(c) = 7*c**2 - 5*c + 6. Determine 6*d(l) - 5*r(l). 2*l**2 + 1 Let i(z) = 4*z + 21. Let w(q) = 2*q + 10. What is -6*i(t) + 11*w(t)? -2*t - 16 Let d(r) = r**3 + 5*r. Suppose 0 = p - 4*q - 18, -3*q - 6 = -p + 7. Let m(k) be the second derivative of 1/6*k**3 + 2*k + 0 + 0*k**2. Calculate p*d(u) + 9*m(u). -2*u**3 - u Let p(j) = j. Let w(d) = -2*d + 2. Calculate 3*p(b) - w(b). 5*b - 2 Suppose 1 = -2*x + 3. Let g(m) = -m + m + x + 0 + m. Let t(k) be the first derivative of k**2 + k + 1. Calculate -g(b) + t(b). b Let t(s) = 3*s - 2. Let r(c) = 12 + 7 - 20 + c. Let d be 8/2*(-21)/12. Determine d*r(y) + 3*t(y). 2*y + 1 Let n(k) = 30*k - 25. Let z(g) = -g + 1. Give n(x) + 25*z(x). 5*x Let i(k) = -6 + 2*k + 5*k**2 - 6*k - 2*k. Let f(s) = 3*s**2 - 10*s - 10. Let r(n) = -n**2 - n - 1. Let a(t) = -f(t) + 3*r(t). Calculate -6*a(q) - 7*i(q). q**2 Let x(y) = -2436*y - 231. Let v(s) = 42*s + 4. Give 231*v(b) + 4*x(b). -42*b Let w(j) = -2*j**2 + j - 2. Let r(q) = -1 - 5*q**2 + 3*q**2 - 2 + q. Determine 4*r(d) - 5*w(d). 2*d**2 - d - 2 Let l(n) = 6*n**2 - 17. Let y(p) = 2*p**2 - 6. Suppose 4*h = 3*h - 17. Suppose 0 = 5*x + 2*z - 24, -2*z + 0*z - 6 = 0. Calculate h*y(f) + x*l(f). 2*f**2 Suppose -5*o - 8 = -23. Let t(k) be the third derivative of -11*k**5/60 + 3*k**4/8 + 3*k**3/2 + 68*k**2. Let d(q) = -5*q**2 + 4*q + 4. What is o*t(p) - 7*d(p)? 2*p**2 - p - 1 Let b be 4/8*12/(-2). Let x(f) = -2*f - 9. Let s(p) = p + 5. Give b*x(k) - 5*s(k). k + 2 Let l(g) = 5*g. Let k(i) = -2*i - 77 + 77. Let a = -9 + 13. Determine a*l(p) + 9*k(p). 2*p Let s(y) = 10*y**3 - 10*y**2 + 24*y. Let b(c) = 3*c**3 - c**3 + 0*c**2 + 5*c - 2*c**2. Suppose -27*x + 42*x = -210. Give x*b(a) + 3*s(a). 2*a**3 - 2*a**2 + 2*a Let z(t) = 2*t**3 - 4*t**2 + 5*t + 10. Let k(p) = -p**2 + p + 1. Let i(l) = 6*k(l) - z(l). Let w(n) = -3*n**3 - 2*n**2 + n - 5. What is -5*i(h) + 4*w(h)? -2*h**3 + 2*h**2 - h Let w be (1 + -2)/(7/(-35)). Suppose -2*r + 35 = 3*r + w*v, r = -2*v + 11. Let i(f) = -6*f + 4. Let d(j) = 5*j - 3. Calculate r*i(k) + 4*d(k). 2*k Let h(u) = u**3 + u - 1. Let x(b) = 3*b**3 + 4*b + 20. What is 4*h(w) - x(w)? w**3 - 24 Suppose 24*q - 21*q - 39 = 0. Let z(m) = -15*m**2 - 23*m - 13. Let i(t) = 7*t**2 + 11*t + 6. Calculate q*i(u) + 6*z(u). u**2 + 5*u Let s(a) = -a**3 - a**2 + a - 1. Let p(c) = 30*c**3 + 36*c**2 - 36*c + 36. Determine -p(l) - 36*s(l). 6*l**3 Let h(p) = -6*p + 43. Let m(y) = 5*y - 43. What is -6*h(z) - 7*m(z)? z + 43 Let y(h) = 8*h. Let q(u) = u - 1. Let i(g) = 3*g - 4. Let r(v) = i(v) - 4*q(v). Let x be 3*3 - (-1)/1. Determine x*r(s) + y(s). -2*s Let v(n) = 2*n**2 + 11*n - 4. Let m(x) = -6*x**2 - 32*x + 11. Give 6*m(y) + 17*v(y). -2*y**2 - 5*y - 2 Let y be (-6)/4 - 2/4. Let g = 5 + y. Let z(q) = -q + 1. Let i(u) = -1 + 4*u - 3*u + 0*u. Calculate g*i(k) + 4*z(k). -k + 1 Let n(x) = x**2 + x - 1. Let t(d) = d**3 - 3*d**2 - 9*d + 8. Let f(p) = 6*n(p) + t(p). Let s(h) = -h**3 - 2*h**2 + 2*h - 1. Give -2*f(a) - 3*s(a). a**3 - 1 Let r(w) = -2*w**3 + 7*w**2 + 7*w. Suppose -5*x = -2*a + 16, 2*a - a - 1 = -x. Let o(n) = -6*n**2 + 4*n**2 - 2*n**2 - 4*n + n**a. Calculate 7*o(k) + 4*r(k). -k**3 Let q(y) = -y**3 + y. Let a(x) = -155*x**3 + 124*x. Give -a(t) + 124*q(t). 31*t**3 Let m = -51 - -47. Let j(h) = 8*h**2 + 4*h - 4. Let f(z) = -9*z**2 - 5*z + 5. Calculate m*f(i) - 5*j(i). -4*i**2 Let l(v) = v. Let f(k) = 6*k - 6. Give -f(w) + 5*l(w). -w + 6 Let i(m) = 6*m**2 + 5*m + 7. Suppose 5*d + 24 = 4*f, -5*f + d = 5*d - 30. Let c(n) = 6*n + 5*n**2 - 12*n + 5*n + 5*n + f. Determine 5*c(k) - 4*i(k). k**2 + 2 Let h(z) be the first derivative of -2*z**3/3 + 3*z + 10. Let q(n) = -3*n**2 + 4. Give 4*h(k) - 3*q(k). k**2 Let a(v) = v**2 - v. Let z(w) = -5*w**2 + 4*w + 2. Suppose -4*x - 4*i + 16 = 4, 19 = 4*x - 3*i. Determine x*a(r) + z(r). -r**2 + 2 Let w(y) = 3*y + 11. Let a(m) = -m - 5. Determine -5*a(k) - 2*w(k). -k + 3 Let z(c) = 3*c**2. Let o be (-1314)/(-81) - (-2)/(-9). Let l = -21 + o. Let y(s) = -2*s**2. Give l*z(d) - 6*y(d). -3*d**2 Let l(z) = -7*z**2 + 3*z - 5. Let c(r) = -21*r**2 + 9*r - 14. Determine -4*c(s) + 11*l(s). 7*s**2 - 3*s + 1 Let r(x) = 5*x**2 - 6*x + 4. Suppose 0 = -5*s + 3*s + 10. Let w(p) = 6*p**2 - 7*p + 5. Calculate s*r(m) - 4*w(m). m**2 - 2*m Let g(k) = 9 + 9*k + 3*k**3 + 2*k**2 - 2*k**2. Suppose 3*v = 0, 3*z - 6 = z + 4*v. Let r(s) = -2*s**3 - 5*s - 5. Calculate z*g(a) + 5*r(a). -a**3 + 2*a + 2 Let f(k) = 1. Let i be (10/14 - 1) + 35/(-49). Let t(q) = 2*q**3 + 2*q**2 + 7. What is i*t(d) + 6*f(d)? -2*d**3 - 2*d**2 - 1 Let u(q) = -34*q**2 - 6 + 23*q**2 - 5. Let g(n) = -6*n**2 - 6. Calculate 7*g(c) - 4*u(c). 2*c**2 + 2 Let d(t) = -6*t + 3 - 2 - 2*t**2 + 4*t**2. Let k(x) = 3*x**2 - 7*x + 1. Let m(f) = -3*f + f + 3*f - 2. Let n be m(-2). Determine n*k(q) + 5*d(q). -2*q**2 - 2*q + 1 Let x(k) = k**3 + 2*k. Let f(h) = -2*h - 6*h**2 - 2*h**3 + 6*h**2. Suppose -3 = 2*j - j. Determine j*f(n) - 4*x(n). 2*n**3 - 2*n Let l be 140/(-44) - ((-16)/(-44))/(-2). Let n(s) = 4*s**2 + 3*s. Let z(t) = 11*t**2 + 8*t. Give l*z(j) + 8*n(j). -j**2 Let k(c) = 9*c**2 + 4*c - 4. Let d(g) = -26*g**2 - 11*g + 11. Give 6*d(h) + 17*k(h). -3*h**2 + 2*h - 2 Let o(b) = b**3 + b**2 - 6*b. Let h(z) = z**2 - 7*z. What is 6*h(k) - 7*o(k)? -7*k**3 - k**2 Suppose 3*k - 6 = k. Let s(w) be the third derivative of 3*w**2 + 0 + 1/24*w**4 + 0*w + 1/6*w**k. Let z(a) = 1. Determine -2*s(l) + 3*z(l). -2*l + 1 Let a(f) = -f**3 - 8*f**2 - 3*f. Let l(y) be the second derivative of -y**5/20 - 7*y**4/12 - y**3/2 + 29*y. Determine 5*a(m) - 6*l(m). m**3 + 2*m**2 + 3*m Let z(s) = -7*s**2 + 13*s + 13. Let g(w) be the third derivative of w**5/60 - w**4/12 - w**3/3 - 8*w**2. Calculate 39*g(h) + 6*z(h). -3*h**2 Let b(c) = 2*c + 5. Let h(k) = -4 + k + 0*k - 2*k - k. Determine 3*b(z) + 4*h(z). -2*z - 1 Let i(p) = -1. Let f(j) = j - 87. Determine f(s) + 2*i(s). s - 89 Let l(p) = 2*p**3 - 3. Let d be 8/5*(-1 + -4). Let a be d/(-1) - (0 - -2). Let b = a - 0. Let t(y) = -7*y**3 + 11. Determine b*t(w) + 22*l(w). 2*w**3 Let t = -2 + 5. Let x(k) be the third derivative of k**5/10 - 5*k**4/12 + 27*k**2. Let n(v) = 2*v**2 - 3*v. Determine t*x(h) - 10*n(h). -2*h**2 Let j(q) = -8*q**2 + 22*q - 5. Let k(b) = 7*b**2 - 21*b + 4. Calculate -5*j(i) - 6*k(i). -2*i**2 + 16*i + 1 Let x(g) = -7*g**2 + 2*g - 1. Let d be x(1). Let t = d - -7. Let w(b) = b. Let a(l) = -5*l. Give t*a(s) + 3*w(s). -2*s Let i(k) = 2. Let u(c) = c. What is i(p) + 2*u(p)? 2*p + 2 Let j(b) = -2*b**2 - 3*b + 2. Suppose 2*r = -5*i - 23, -2*i + 6*r - 4*r + 2 = 0. Let p(c) = -c**2 - c + 1. Calculate i*p(d) + j(d). d**2 - 1 Let v(l) = 8*l**3 - 5*l**2 + 6*l + 5. Let i(b) = 0*b**3 - 7*b - 2 + 6*b**2 - 4 - 3*b**3 - 6*b**3. Determine -6*i(d) - 7*v(d). -2*d**3 - d**2 + 1 Let p(i) = i**3 + 0*i**3 + 0 + 14*i - 3 + 10*i**3. Let l be 4/(-10) + (-28)/5. Let n(b) = -4*b**3 - 5*b + 1. Determine l*p(m) - 17*n(m). 2*m**3 + m + 1 Let s(w) = -w**2 + 0*w**2 - w + 0*w**2 - w**3. Suppose 0 = y - 0 + 1. Let b(r) = -4*r**3 - 3*r**2 - 5*r. What is y*b(d) + 5*s(d)? -d**3 - 2*d**2 Let j be (-13)/4 - (-3)/12. Let w(y) = -1. Let q(b) = 3*b - 2*b + 7 - 2. Let a(l) = 4*q(l) + 22*w(l). Let p(o) = o. Determine j*p(k) + a(k). k - 2 Let m(x) = -x**3 + x**2 + x + 1. Let g(u) = 7*u**3 - u**2 - u - 1. Determine -3*g(h) - 3*m(h). -18*h**3 Let m(j) = j**2 + j. Let z(w) = -2*w**3 - 2*w**2 - 2*w. Suppose 3*t - 2 = 5*t. Let q(l) = t*z(l) - 2*m(l). Let g(r) = r**3. Calculate -3*g(x) + 2*q(x). x**3 Let o(b) = -3*b**3 + 4*b - 3. Let n(p) = -p**3 + p - 1. Suppose -5*y + 10*y = 4*j + 24, 8 = -4*j + y. What is j*o(a) + 4*n(a)? -a**3 - 1 Let n(z) = 4*z**3 - 6*z**2 - 6*z - 7. Let y(a) = a - 2. Let j be y(5). Let h(f) = -1 + 0 - f - f**2 + f**j + 0. Let s be 2/4*(1 + -3). Give s*n(u) + 6*h(u). 2*u**3 + 1 Let k(b) = 70*b**2 + 7*b + 7. Let m(c) = -47*c**2 - 5*c - 5. Calculate -5*k(r) - 7*m(r). -21*r**2 Let p(f) = f - 6. Let c(k) = 2*k - 7. What is -2*c(h) + 3*p(h)? -h - 4 Let v(h) = -h**3 - 4*h**2 + 9*h - 4. Let i(s) be the first derivative of -2 + s**2 - s - 1/3*s**3. Calculate -9*i(m) + 2*v(m). -2*m**3 + m**2 + 1 Suppose 2*n + 5 = 7*n. Let s(b) = -1 - 2*b**2 + n + 5. Let z(x) = 2*x**2 - 6. What is 6*s(w) + 5*z(w)? -2*w**2 Let d(t) = -t**3 - 7*t**2 - 7*t + 7. Let b(u) = u**2 + u - 1. Let w = -122 + 120. Calculate w*d(g) - 14*b(g).
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when m is divided by 23. 21 Suppose -2*g = -6*g - 3120. Calculate the remainder when (-12)/18 + g/(-9) is divided by 22. 20 What is the remainder when 45 is divided by (-4)/(-8) - -2*(-75)/(-12)? 6 Suppose 2*n = 4*n + 8. Let m = -2 - n. Calculate the remainder when 2 is divided by m. 0 Calculate the remainder when 41 is divided by (-1)/(3/(-75)) + -3. 19 Let k(j) = -5 + 1 + 2*j**2 - j + 3*j. What is the remainder when k(-4) is divided by 11? 9 Suppose 0 = 2*x + 2*x - 52. Calculate the remainder when 23 is divided by x. 10 Let s(q) = q**3 - 7*q**2 + 9*q - 7. Let l = -7 + 13. What is the remainder when 32 is divided by s(l)? 10 What is the remainder when (-6)/(-63) + 3314/42 is divided by 16? 15 Suppose 71 = 5*l - 2*o, -6 = 6*o - 9*o. What is the remainder when 43 is divided by l? 13 Suppose 0 = 4*j + 5*k + 2, 3*j + 4*k + 1 = -1. Let n be (62 + 4/j)*1. Suppose t = -3*t + n. Calculate the remainder when 31 is divided by t. 15 Suppose 2*l - 10 = 28. Let h = -2 + 1. What is the remainder when (37/2)/(h/(-2)) is divided by l? 18 Let a = 14 - 10. Suppose 3*p + 2*g = 25, -g + 4 = -2*p + 23. What is the remainder when p is divided by a? 1 What is the remainder when (2/4)/((-16)/(-1888)) is divided by 20? 19 Suppose 4*n - 176 = -2*b, -5*b = n - 9 - 53. Suppose 0*y - n = -2*y. What is the remainder when 40 is divided by y? 19 Suppose 204 = 3*g + s, -4*s - 73 = -g - 6*s. What is the remainder when g is divided by 14? 11 Let u(w) = w**3 - w**2 + 3*w - 2. Let o be u(2). Let j(d) = 3*d - 12. Calculate the remainder when 46 is divided by j(o). 10 Let l(r) = r**2 - 5*r - 43. What is the remainder when l(11) is divided by 6? 5 Suppose 4*t = n + 24 - 0, -4*t = -3*n - 16. What is the remainder when t is divided by 6/(-8) - 135/(-20)? 1 Let b(g) = -g**2 + 9*g - 7. Let a be b(8). Let y = 4 + a. What is the remainder when y is divided by 2? 1 What is the remainder when 30 is divided by (1/(-2) - -1)*(14 + 0)? 2 Suppose 5*r + 10 = 35. Let f be 0/(-1 + (r - 2)). What is the remainder when (-28)/6*(f - 3) is divided by 5? 4 Let t = -14 + 23. Suppose -5*k + 5*g = -115, 5*g + 11 = -t. Calculate the remainder when k is divided by 11. 8 Let m(d) = d**2 - 4*d - 6. Let n be m(-4). Suppose 0*b + 2*b = n. Calculate the remainder when 25 is divided by b. 12 Calculate the remainder when -4*12/120*415/(-2) is divided by 7. 6 Let f = 31 + -12. Calculate the remainder when f is divided by (-5)/(2/4*-2). 4 Let l be ((-6)/5)/((-10)/125). Let k = 19 - l. What is the remainder when 13 is divided by k? 1 Let l(v) = 3*v**2 - 24*v - 1. Let k(w) = w**2 - 8*w. Let g(b) = -7*k(b) + 2*l(b). What is the remainder when g(7) is divided by 3? 2 Suppose 0 = 5*g + t - 317, g - 62 = -3*t + 7. What is the remainder when g is divided by 32? 31 Let q = 43 - 25. Let j(o) = o**2 + 3*o - 5. Let l be j(-5). Let t(f) = f**3 - 5*f**2 + f + 5. What is the remainder when q is divided by t(l)? 8 Let y = 30 + 8. Calculate the remainder when y is divided by 10. 8 Suppose 3*u = -s + 67, -2*s + 177 = s + 3*u. What is the remainder when s is divided by 14? 13 Suppose h - 13 = 15. Calculate the remainder when 53 is divided by h. 25 Let b(w) = w + 5. Let j be b(-3). Suppose 13 + 15 = j*i. Calculate the remainder when 41 is divided by i. 13 Let b(w) = -w**3 - 3*w**2 - 5*w - 4. Calculate the remainder when 30 is divided by b(-3). 8 Let h(g) = -2*g - 49. Suppose 16 = -c + 4*y, 0 = -2*c + y - 2*y + 13. What is the remainder when c is divided by h(-26)? 1 Let j = 81 - 52. Let u = -130 + 187. Calculate the remainder when u is divided by j. 28 Let x be (5/(-2))/(13/(-26)). Suppose -x*y + 2*y + 9 = 0. What is the remainder when 5 is divided by y? 2 Let j(r) = -r**3 - 6*r**2 - 5*r - 4. Let h be j(-5). What is the remainder when 2 is divided by (2/2 - h) + -3? 0 Let r(v) = 0 - 22*v + 6 - 6. Calculate the remainder when 64 is divided by r(-1). 20 Suppose -2*y + 4*y = 4. Suppose 137 = 2*f + 3*a, y*a + 6 = 4*a. Suppose 5*b - j = f, -4*j + 8 - 4 = 0. Calculate the remainder when 51 is divided by b. 12 Let v = -4 + 9. Suppose -v*u + 9*u = 28. Calculate the remainder when 26 is divided by u. 5 Let b be 1/3 + (-5)/(-3). Suppose 0 = -b*g + 4 + 4. Calculate the remainder when 5 is divided by g. 1 Suppose 3*m + 4*h = h + 87, -114 = -4*m - 2*h. Calculate the remainder when m is divided by 15. 13 Suppose 246 = 5*s - 89. Calculate the remainder when s is divided by 7. 4 Suppose 127 + 9 = -2*z. Let f = z - -95. Let p(k) = 3*k**3 - 2*k**2 - k. What is the remainder when f is divided by p(2)? 13 Let y = 21 + 13. Let r(k) = -4*k**2 + 3*k - 3. Let t be r(3). Let l = t + 48. What is the remainder when y is divided by l? 16 Let t(k) = 3*k**3 + 3*k**2 - 2*k - 1. Calculate the remainder when t(2) is divided by 4. 3 Suppose 3*n - 4 = g - 29, 0 = -5*n + 4*g - 37. What is the remainder when ((-6)/n)/((-2)/(-39)) is divided by 7? 6 Let q be (51/6)/(1/2). Suppose g - q = 6. Calculate the remainder when g is divided by 8. 7 Let t(r) = r**3 + 3*r**2 - r. Let o be t(-3). Let g be 4/12 - (-5)/o. Suppose 2*n - 72 = -g*n. Calculate the remainder when 53 is divided by n. 17 Suppose a - 6 = -5*n, n = 3*a - 4*a + 14. Suppose 3*m = -29 + 113. What is the remainder when m is divided by a? 12 Let h(d) = -d**2 + 108. What is the remainder when h(0) is divided by 11? 9 Suppose -3*g = -5*g + k + 872, 3*k = 4*g - 1746. Suppose 94 = x - b + 2*b, 5*x - g = 2*b. What is the remainder when x is divided by 23? 20 Suppose 21 = 2*r + 9. Calculate the remainder when 14 is divided by r. 2 Let n = 10 - 7. Calculate the remainder when 87 is divided by (-22)/(((-9)/3)/n). 21 Suppose -6*d + 2*d = -84. Suppose -4*c + 64 = 3*a + d, -a + c = -5. What is the remainder when 43 is divided by a? 7 Suppose 0 = -j - 3*m + 18, -5*j = 4*m + 9 - 44. Suppose -j*h = -2*h - 13. What is the remainder when h is divided by 5? 3 Let q(u) = u + 2. Let i be q(3). Suppose 5*w - i = 5. What is the remainder when 20 is divided by 1*(3 - (w - 6))? 6 Let t = -65 - -79. What is the remainder when 26 is divided by t? 12 Let r = 24 + -90. Calculate the remainder when r/(-2) - (0 + 2) is divided by 11. 9 Suppose -11 + 2 = -g. Let r(v) = -v**3 - 5*v**2 + 7*v + 12. Calculate the remainder when g is divided by r(-6). 3 Let d = -11 - -28. Let u be 2/(((-8)/22)/(-2)). Let h = u - 6. What is the remainder when d is divided by h? 2 Suppose 3*g + 175 = -2*r, r - 4*g = -5*g - 87. Let n = 148 + r. What is the remainder when n is divided by 16? 14 Let o(h) = h**3 + 5*h**2 - 2*h - 7. Let y be o(-5). Suppose -y*b = b - 92. Calculate the remainder when 67 is divided by b. 21 Suppose 0 = -4*s + 101 + 3. Calculate the remainder when 72 is divided by s. 20 Calculate the remainder when ((-5)/10)/((-1)/134) is divided by 17. 16 Let r = 115 - 104. Calculate the remainder when 85 is divided by r. 8 Suppose 4 = -2*w - 4*f - 4, 0 = 5*f + 15. Suppose 4*q - 21 = 7. Calculate the remainder when q is divided by w. 1 Suppose -5*z + p = 3*p - 133, z - 2*p = 29. What is the remainder when z is divided by 15? 12 Suppose 4*s + 4*l - 8 = 0, 3*s + 2*s = -2*l + 13. Let k(r) = r**3 - 6*r**s - r + r**3 - r**2. Calculate the remainder when k(-1) is divided by 2. 0 Suppose -g = j - 26, -5*j - 2 = -4*g + 3*g. Calculate the remainder when g is divided by ((-2 - -1)*-6)/1. 4 Suppose j - 34 = -j - q, 0 = -5*j - 4*q + 88. What is the remainder when 77 is divided by j? 13 Let l(c) = c**2 - 2*c + 6. Suppose h = 6 - 0. What is the remainder when (-4)/h - (-240)/9 is divided by l(4)? 12 Suppose -2*n + 4*n + 5*i = 18, -4*i - 92 = -4*n. Calculate the remainder when n is divided by 7. 5 Let a(o) = 5*o - 14. Suppose -32 = -5*r + 3*v, r - v = -r + 13. What is the remainder when a(r) is divided by 12? 9 Suppose -5*t + 3*k = -154 - 25, -19 = -t - 5*k. Suppose 0 = 2*v - r - 16 - t, -v = -5*r - 16. Calculate the remainder when v is divided by 9. 8 What is the remainder when 15/10*22 + -3 is divided by 16? 14 Let q(v) = -v + 3. Let s(c) = -c**3 + 7*c**2 + 7*c + 3. Let w be s(8). Let y be q(w). Suppose -3*a + a = -y. What is the remainder when 6 is divided by a? 2 Let f(l) = 9*l + 4. Let o be (48/18)/((-1)/(-3)). Let z = 63 - 37. What is the remainder when f(o) is divided by z? 24 Suppose -i = 5*l - 83, 53 = 3*l + i - 2*i. What is the remaind
{ "pile_set_name": "DM Mathematics" }
Let p(j) = j**3 + j**2 - 2. Suppose 0 = -0*l - 3*l + 6. Let h be p(l). Solve -2*m - m - x + h = 0, 2*m = -5*x - 15 for m. 5 Let t be 5/45 + (-26)/(-9). Solve 3*n - 2 = 2*x - t, -5*n = -x + 11 for n. -3 Suppose -2*v + 29 = 5*k, -v = v - k + 1. Solve 0*m - 12 = -v*m - 3*g, -1 = -m + g for m. 3 Let a be ((1 - 1)/2)/(-2). Suppose a*f - 12 = -2*v - 2*f, 0 = -3*v - f + 14. Let c be 2/((v/(-18))/(-1)). Solve 3*g = -2*z - 8, -4*g - 3*z = -2*z + c for g. -2 Suppose 4*t = 5*b - 1, -2*t - 11 = -2*b + 3*b. Let r be (-1)/((-2)/6) - b. Solve 2*i + j = 2 - r, -4*i = j + 8 for i. -2 Let c = 12 + -9. Solve 0 = 2*x + 2*p - 2, -3 = -c*p + 2*p for x. -2 Let q(y) = -y**2 - 8*y - 9. Let r be q(-7). Let v be (-4 - r) + 2 + -9. Let o = v - -16. Solve 5*t = 3*s + s - o, 0 = 2*s - 3*t - 3 for s. 3 Suppose 4 + 8 = -4*o. Let k(t) = -t**2 - 5*t - 2. Let w be k(o). Solve -2*h - w = 4*p, -10 + 0 = 5*p for h. 2 Let n be (-8)/((-2)/6 - -1). Let t be 4/n - (-20)/6. Solve 5*q + t*m + 5 = -2*m, 25 = 3*q - 4*m for q. 3 Suppose 217 = -5*q + 7. Let g = q + 72. Solve 5*t + 3 - g = 4*u, -5*t - 3*u = -6 for t. 3 Let p be -1*(-4 - -5) - -1. Solve 0 = 4*d - 3*i + 2, -2*d - 2 = -2*i - p for d. 1 Suppose 7*q - 11 = 31. Solve m = 0, z + 2*m + q = 3*z for z. 3 Let c = 5 - 4. Let m be 1 - (-3 + (2 - c)). Suppose m*t + 35 + 75 = 5*v, -t - 110 = -5*v. Solve 4 = 3*h - d, 0*h - v = -4*h - 2*d for h. 3 Let v be (-2 - 4)/(-1) + -2. Let b be 15/v - 1/(-4). Suppose 3*x = -2*c + 12, 2*c - 5 = -b*x + 3*c. Solve -o + 14 = -x*u, -o + 5*u + 33 = o for o. 4 Let t be 4*(2/(-3) + 7/6). Solve -b + 3*b + t*h - 14 = 0, 0 = -5*h + 25 for b. 2 Let u = -3 - -5. Suppose -q = -u*q + 16. Let g = q - 9. Solve -3*w - 23 = -5*n, 2*n - g*n = -20 for w. -1 Let c be 18/15*(-10)/(-3). Let q be (c - 2)/2 - -3. Suppose -10*m - 9*m = -76. Solve s - m = 0, q*s = -2*a - 2 + 10 for a. -4 Let u = 11 - 0. Let g = u - -2. Suppose -33 = -5*w - g. Solve 5*x + 21 = -w*z, -2*z + 0*z - x - 9 = 0 for z. -4 Let b be 1/3 + (-76)/12. Let w be ((-9)/4)/(b/64). Let k be w + -1 + 0 + 2. Solve u - 2*r + k = -4*u, 4*u - 2*r = -20 for u. -5 Let k be 67/5 - (-4)/(-10). Suppose g - 52 = -g - 4*y, -3*g - 3*y + 63 = 0. Solve 4*j = -f - 33 + k, j - g = 5*f for j. -4 Suppose -5 - 9 = -f. Solve -20 = -2*m - 4*b, 2*b = 8*m - 3*m - f for m. 4 Let s = 18 + -13. Suppose -4*r + 0 = -20. Solve r*t = 5*d + 30, 0*d = d + s*t for d. -5 Let a be 204/8 + 1/2. Suppose -2*s - 10 = -q - 5*s, 5*s = -4*q + a. Solve -4*n + q*o - 28 = 0, n - o = -4*o + 1 for n. -5 Let c(f) = 6*f**2 - 11*f + 9. Let i(t) = 5*t**2 - 10*t + 8. Let k(v) = -6*c(v) + 7*i(v). Let x be k(-4). Solve 2*d - 22 = x*p + p, d - 5*p = 25 for d. 5 Let j(c) be the third derivative of c**5/60 - c**4/24 + 2*c**3/3 + 2*c**2. Let f be j(4). Let d = f + -2. Solve -3*l + 2*k - d = -0*l, -2 = 5*l + 2*k for l. -2 Suppose -5*n + 9 = -y, 3*y - 4*n + 6 = 1. Let q(h) = 4*h**2. Let j be q(y). Let o be (2 - 0)/1 - 0. Solve f - 7*m + 5*m = 3, j*m + 18 = -o*f for f. -3 Let s(p) = -2*p + 1. Let w(x) = -8*x + 4. Let v(c) = 22*s(c) - 6*w(c). Let j = -1 + 5. Let g be v(j). Solve 5*t + 3*b - 26 = 0, -2*b + g = 4*t - 3*b for t. 4 Suppose 16*j - 16 = 8*j. Solve 6 = -4*g + j*q, -3*g + 2*q = -q + 3 for g. -2 Let n = -1 - -1. Let l = 11 - n. Suppose -2*m + 3*m = 20. Solve 0 = 5*h + v - m, 2*v - 30 = -3*h - l for h. 3 Let m(d) be the second derivative of d**3/6 + 5*d**2/2 - 3*d. Let u be m(0). Solve -9 = -0*r - r - 2*n, u*r + 4*n = 21 for r. 1 Suppose -8*f + 7*f + 4 = 0. Solve -6 = -3*g, -y - g + 27 = f*y for y. 5 Suppose 0 = -0*a + 4*a - 4. Let n be -1*(-4 + 1)/a. Solve -5*f = 5*u - 20, 5*f + n = 2*u + 2*f for u. 3 Let r be (-2 - -2)/(-1 + -1). Suppose -g + 3 = -r. Suppose -4*l + 3 = -g*l. Solve -5*n - 3*j + 10 = 0, 25 = 6*n - l*n - 2*j for n. 5 Let h = -7 + 15. Let n = h - 5. Solve -x = -3*r + 7 + n, 0 = -5*r + 3*x + 18 for r. 3 Suppose 3*s - 3*r = 21, -r - 9 = -3*s + s. Let n(p) = -p**2 - 2*p**2 + 2*p**2 + 0*p**3 + p**3. Let v be n(s). Solve 2*a - 7 = v*k + 5*a, 0 = 5*a + 5 for k. -1 Suppose 4*z + z - 20 = 5*u, u - 44 = -5*z. Let c = z + -5. Solve -2*s = c*x + 7, 4*s - 31 = -3*x + 6*x for s. 4 Suppose 10*p = -10*p. Solve p*h - h + u + 5 = 0, 2*h - 3*u - 14 = 0 for h. 1 Let c = 1 - -1. Suppose -3*k + 10 = -2. Suppose 5*w - 1 = -4*z + 9, -4 = -c*w + k*z. Solve 0 = -5*i + 4*q + 29, 4*q - 8 = -w*i + 2*q for i. 5 Suppose -3*b - 4*n + 0 = -3, 5 = 5*b - 5*n. Solve m - 8 = a, 5*a + b = -19 for m. 4 Let j(d) = -d + 5. Let x be j(2). Solve -1 = -5*z - r, 3*z - x*r = -8*r + 5 for z. 0 Let y be 5/15 - 8/(-3). Let m = 5 - y. Solve -2*z + 2*i = -i - m, -2*i = 4*z + 28 for z. -5 Let s be 16*3*3/9. Suppose -q = -3*y - 31, y - 3*y + 3*q = s. Let i be (4/(-2))/(2/y). Solve 3*l = c - i, 0 = -l - 3*l - 5*c - 2 for l. -3 Let s be (-1625)/(-45) + (-3)/27. Solve -11 = -5*u + u + t, 4*u = -4*t + s for u. 4 Let k = 181 + -42. Suppose -4*u + k - 11 = 0. Solve a - 12 = 5*a, 4*a = -4*b - u for b. -5 Suppose -6 - 6 = -k. Solve -4*n - 5*b + 1 = -k, -4*n - b + 9 = 0 for n. 2 Let w = 53 - 48. Solve -5*y = -2*r + 29, -16 + 6 = -w*r for y. -5 Let y(b) = -b**3 - 7*b**2 - 6*b + 2. Suppose -n = n + 12. Let k be y(n). Solve 4*t - u - 2 = 3, -k*u = -5*t + 4 for t. 2 Let y be (5/15)/(2/24). Solve 0 = -2*n - y*z + 10, -4*n - 10 = -2*n - z for n. -3 Suppose 0*v + v = 3. Suppose 92 = 4*t - 4*s, -3*t = 4*s - s - 87. Solve 2*q + 9 = -3*l, 0 = 3*q - 4*l - v - t for q. 3 Suppose 17*a - 126 = 8*a. Solve -2*o = 5*s - a, 4*s = -s + 5*o for s. 2 Suppose -3*c = p - 18, 6*c - c + 5*p - 20 = 0. Solve -g + 0 - c = -2*d, 0 = 4*d - 3*g - 15 for d. 3 Let j = 5 - 3. Solve -j*q = -2*r + 14 - 0, 8 = -4*q - r for q. -3 Let k = 6 + -4. Let g(r) = -23 + 21 + 5*r - 3*r + r**3 + 4*r**2. Let h be g(-2). Solve h*v + 6 = -4*z - 0, 2*v + k = 0 for z. -1 Let m(n) = 10*n - 1. Let w be m(-2). Let b = -11 - w. Suppose 2*c = 10 + b. Solve -4*f - 3*d + d + c = 0, -3*d = 2*f - 11 for f. 1 Let t = 0 + 0. Suppose 2*a + t*k - k = -104, 4*a + 4*k = -196. Let q be (-1)/4 + a/(-12). Solve 0*z + 4*r = 3*z - 14, 0 = q*z + 2*r + 18 for z. -2 Let z = -11 - -15. Suppose -z*l - 10 = -2*d, 4*d - 2*l = -d + 25. Solve d = -3*v + 2*w, 6*v + 5*w - 23 = 3*v for v. 1 Let u(h) = 6*h**2 - 2*h + 4. Let x be u(2). Let g be 12/4 + 2*1. Solve g*k - 4*d + x = 0, -k + d = -0*d + 5 for k. -4 Suppose -4*t - 4*j = -3*t + 16, 3*t + 12 = -3*j. Solve 4*x + 2*y - 6 = t, x - 9 = -x + 5*y for x. 2 Suppose -h + w + 7 = -3*w, 0 = -h - 4*w - 1. Suppose 3*p = 2*p + 5. Suppose -2*n = -0*n - 38. Solve 0 = -p*m + 10, m - n + 2 = h*g for g. -5 Let i(s) = s**3 - 5*s**2 - 6*s + 9. Let w be i(6). Let y = 1 + 20. Let b = y - w. Solve 0 = 2*g + 5*c - b - 5, 0 = 4*g - c - 1 for g. 1 Let c(a) = a**2 + 11*a + 12. Let f be c(-8). Let r be -2 - (-3)/(f/(-92)). Solve v - 4*s - 9 = 0, 3*s - 7*s - r = 3*v for v. -3 Suppose -3*q = 5*p - 3*p - 16, q - 2*p + 8 = 0. Suppose -3*s + q + 4 = 0. Suppose -3*u + 23 = 2. Solve -l + 4*d - s = -u, -2*l = -4*d - 6 for l. 1 Suppose 3*k + 6 = -n, -3*n - 2*k - 4 = -2*n. Suppose 4*v = -n*v + 12. Solve 0 = 3*i - 2*j - 3, 0 = -4*i - 3*j + 1 + v for i. 1 Let x be -4 + 1 + (5 - -1). Solve 5*b = -2*g + 24, 22 = x*g + 7*b - 3*b for g. 2 Let i be ((-3)/2)/(5 + (-217)/42). Solve 0 = s + 2*f - 4*f - i, -2*s = 3*f + 10 for s. 1 Let s be 38/14 - (-4)/14. Let z(g) = -2*g + 1. Let o = -1 + 0. Let y be z(o). Solve -s*x + y*j = -0*x - 6, x + 4*j = -8 for x. 0 Suppose 0 = -33*f + 30*f + 9. Solve 3*t = -3*y + 4 - 1, 4*y + f = 3*t for y. 0 Let t(c) = c - 2. Let d = -10 - -17. Let w be t(d). Solve 3*m + 4 = 2*z + 5, 2*m - 26 = -w*z for z. 4 Let k(d) = d. Let c be k(0). Solve -h = -b, 6 = -2*b - c for h. -3 Suppose -2*a + 0 = -8. Suppose -4*k - 6 = -5*k. Let l be 3*k/(-9) + 5. Solve a*g + t = -5 - l, -t = 0 for g. -2 Let t be (-2 + -4)*2/(-3). Solve -2*g = 2*j + j + 6, -t = -4*g - 2*j for g. 3 Let y = -2 + 5. Let m(n) = n**3 - 7*n**2 + 7*n - 5. Let x be m(6). Let v be (7 + 0)/(4/4). Solve y*p + 5*g = 23, -v = -2*g + x for p. 1 Suppose 0*t - 5*d = 3*t + 8, -4*d - 16 = 0. Suppose -a = -2*a - 3*g - 1, t = -g. Solve -3*c - 6*l = -l + 17, -3*c - a = -l for c. -4 Suppose 0*z = 4*x + z - 98, 0 = -5*x - 5*z + 115. Let q = x + -21. Solve 5*w - 3*v = -0*v + 3, q*w = -v - 1 for w. 0 Let q(a) = a**3 + 6*a**2 + 4*a - 4. Let c be q(-5). Solve -c = k + v +
{ "pile_set_name": "DM Mathematics" }
k - 25*k**3 + 2*k**3 - 1 + k**2 + k**3 as j*k**2 + o*k + w + p*k**3 and give j. 1 Express -54 + 56 + 232*m + 443*m in the form j + i*m and give i. 675 Express -2*c**2 - 2*c**2 + c**2 + (0 - 2*c + 0)*(c - 2*c - 2*c) - 1 + c**2 - 4*c**2 + c**2 in the form h*c**2 + t + d*c and give t. -1 Rearrange -3 + 75*p - 37*p - 26*p + (4 + 2 + 1)*(6*p - 3*p - p) to the form a*p + f and give a. 26 Rearrange (633 - 212 + 2*c - 317)*(3 - c - 3) to z*c + i + m*c**2 and give z. -104 Express 2*i + i - 2*i + 0*i + 0*i - 4*i + (4*i + 5*i - 5*i)*(-4 + 3 - 1) in the form u*i + d and give u. -11 Rearrange 1080*z**3 - 1320 + 1320 + (z**2 - 2*z**3 - z**2)*(3 - 1 - 1) to the form y*z + o*z**2 + v + g*z**3 and give g. 1078 Express (3 - 4 + 2)*(-m - 3*m + 2*m) + 1137*m + 14969 - 14969 as n + k*m and give k. 1135 Rearrange 3*y - y - 20 + 54 - 17 - 16 + 282*y**3 to the form t*y + l*y**3 + i*y**2 + v and give t. 2 Express 2*b**4 - 1 + b**3 + 7*b**3 - 3*b - 7*b**2 + 2*b**2 - 7*b**3 as r*b**3 + a*b**4 + s*b + t + u*b**2 and give t. -1 Rearrange -q**4 + 2*q**4 + 3 + 2*q**2 - 482*q - 4*q**3 + 6*q**3 + 480*q to the form h*q + r*q**3 + m*q**2 + j*q**4 + s and give m. 2 Express -3*i - 3*i + 5*i + (-44 - 37 + 27 - 2*i)*(1 + 0 - 3) as f*i + v and give f. 3 Rearrange -5 + 1 - 4*p + p - 18*p**2 + 2 + 39*p**2 + 3*p**3 to the form d*p**3 + n*p + i*p**2 + f and give n. -3 Express (0 + 2 - 1)*(-8 - 2 - 1)*(5*d + d - 3*d)*(7 + 1 + 2*d + 3) as f*d + m + h*d**2 and give f. -363 Express 82*p**4 + 2*p - 7995 - 2*p**2 + 28*p**4 + 7995 - p**4 as j*p + a*p**4 + u + y*p**3 + o*p**2 and give a. 109 Express 4642*g**3 + 0 - 4640*g**3 - 3*g - 2 in the form f*g**3 + o + i*g + t*g**2 and give o. -2 Express 26*m - 25*m**3 - 2*m**2 - 52*m + 28*m in the form n*m**3 + w + i*m + p*m**2 and give p. -2 Express (-61*h - 18 + 18)*(4*h**2 - 6*h**2 + 3*h**2) as j + u*h**3 + l*h**2 + b*h and give l. 0 Rearrange -10*p + 97*p - 14*p to k + o*p and give o. 73 Express -872 + 35*f + f**3 + 872 + f**2 + 0*f**3 - 2*f**3 in the form m*f + t + i*f**2 + a*f**3 and give m. 35 Rearrange -17*m**2 + 4245*m - 4248*m - 307*m**2 to l + x*m + k*m**2 and give x. -3 Rearrange -26*y**2 - 26*y**2 - 3 + 2*y**3 - 112*y**3 + 52*y**2 to the form u*y**2 + v + m*y**3 + i*y and give m. -110 Rearrange (-41 - 60 - 44)*(-a**3 - 2*a + 2*a) to f*a + y + o*a**3 + p*a**2 and give y. 0 Rearrange (4*w**2 - 4*w**2 + 2*w**2)*(-168*w + 48*w - 119*w) to the form x*w**2 + v + q*w + a*w**3 and give a. -478 Express (-2*d + 0*d - 3*d + (2 - 2 + d)*(1 + 0 + 1))*(-4*d + 4*d - 3*d**2) as f + j*d**2 + h*d**3 + p*d and give h. 9 Express 2*m**3 - 5*m**3 - 8*m**3 + 2*m**2 + 13*m**3 + 246*m in the form t*m**2 + b*m + u*m**3 + c and give u. 2 Express -12 - 4*u**4 - 2*u**3 + 12*u**4 + 17*u**4 - 8*u**4 + 15 in the form o*u**4 + j + z*u**3 + m*u**2 + q*u and give z. -2 Rearrange 3*i**4 - 3*i + 5*i**4 - 3*i**2 + i**3 + 2 - 6*i**4 - 4*i**3 + 4*i**3 to q*i**4 + c*i + g + p*i**2 + a*i**3 and give g. 2 Express (-1 + 4 - 2)*(0*q + q + 4*q)*(-4*q + 0*q + 7*q)*(1 + 0 + 5) as h*q + g + p*q**2 and give g. 0 Express (-14*m + 7 - 7)*(-m - 4 + 5 + 0*m) in the form z + o*m + v*m**2 and give o. -14 Rearrange 3274 - 312*g - 3274 to the form c*g + r and give r. 0 Rearrange (272*t**2 + 602*t - 602*t)*(-3 - 2 - 3) to y*t**2 + f + j*t and give y. -2176 Express 2709*k**3 + 0*k + 7*k - 2597*k**3 as a*k**2 + j*k**3 + y + n*k and give j. 112 Rearrange 197*o - 8 + 123*o + 8 to t + i*o and give i. 320 Express (9*h + h + 11*h)*(-h + 2 - 2) - 3*h**2 + 1 - 1 - h**2 - 2 + 2 + (h - 5*h + 2*h)*(-4 + 2*h + 4) as g + r*h + d*h**2 and give d. -29 Rearrange (110*q**2 - 250*q**2 - 120*q**2 - 84*q**2)*(2 + 0 - 1) to the form l + b*q**2 + k*q and give b. -344 Rearrange -4350*t**2 - 4 + 4345*t**2 - 3*t + 1 to n*t + a*t**2 + f and give a. -5 Express -2*b**3 + 2*b**3 - b**3 - b**3 - 34*b - 2*b**2 as s*b**2 + g + h*b**3 + u*b and give h. -2 Rearrange (1737*s**3 - 1532*s**3 + 1272*s**3)*(-6*s + 2*s + 3*s) to j*s + k*s**4 + a*s**3 + z + x*s**2 and give k. -1477 Express 22 + 359*f**2 - 180*f**2 - 172*f**2 as x*f + p + s*f**2 and give p. 22 Express (-4*t - 10*t - 2 + 6*t**2 + 12*t)*(-8 + 8 + 2*t)*(-6 + 2 - 2) as f + r*t**3 + z*t**2 + y*t and give f. 0 Express -3*h - 7*h - 15*h**2 + 9*h**3 - 5*h**3 - 5*h**3 as n + j*h + u*h**3 + a*h**2 and give j. -10 Rearrange -p**4 + 7*p**4 - 5*p**2 - 36*p + 2*p**3 + 3*p**2 + 38*p + 5 to n + d*p**3 + o*p**4 + s*p**2 + y*p and give d. 2 Express (15*i**2 + 4*i**3 - 15*i**2)*(12 - 7*i - 4 - 3) in the form u*i**3 + d*i**4 + k*i**2 + z*i + p and give u. 20 Express (-5*u - 1 + 0*u + 3*u)*(8563992*u**3 - 88*u**2 - 2 + 0 - 8563994*u**3 + u) as p*u**4 + k*u**2 + o*u**3 + f + x*u and give f. 2 Express -2*u + 3*u + 4393 - 4418 as w*u + p and give p. -25 Express (0*l - 7*l + 23*l)*((-1 + 0 + 3)*(-3 + 3 - 1) + 0 - 3 + 2 + (0 + 5 + 1)*(-2 + 0 + 4)) as g*l + z and give g. 144 Express 268*w**3 + 16*w + 193*w**3 - 15*w - 137*w**3 in the form y*w**3 + n + s*w + q*w**2 and give s. 1 Express -278 + 95 - 333*p + 332*p as i*p + l and give i. -1 Rearrange (-2 + 2 + 1)*(5*j + 0*j - j) + 3 + 12*j - 3 + 2 to g + y*j and give g. 2 Rearrange (3*b**2 - 2*b**3 - 3*b**2)*((-4 + 2 + 1)*(-1 + 0 - 3) + 31 + 163 - 46) to z + c*b**2 + t*b + o*b**3 and give o. -304 Express -16 + 16 - 1302*f**4 - 923*f**4 + (-2 - 2*f**2 + 2)*(-3*f**2 - 2*f**2 + 4*f**2) in the form i*f + a*f**2 + y + r*f**4 + x*f**3 and give r. -2223 Express -3*v**2 + 2*v**2 + 0*v**2 + (-1 + 1 + 1)*(2*v - 2*v + 2*v**2) in the form k*v + j*v**2 + d and give j. 1 Rearrange -19*q**2 - 135*q**2 + 446*q**2 to o + l*q**2 + n*q and give l. 292 Rearrange -314*j + 4*j**2 - j**2 + 2*j**2 - 2*j**2 + 2 + 313*j to the form i*j**2 + l + s*j and give i. 3 Express -7*t**2 - 89*t**3 + 70*t**3 + 3 + 5*t**2 + t**4 as w*t + v*t**3 + y + z*t**4 + s*t**2 and give z. 1 Express (264 - 539 + 275 + 2067*w)*(w**2 - 3*w**2 + 5*w**2) in the form d*w**3 + s*w**2 + v + c*w and give d. 6201 Rearrange (-8*v**2 - 10*v**2 - 14*v**2)*(2 - 3*v + 6*v**2 + 2*v + 3*v) to l*v + j + n*v**2 + r*v**3 + u*v**4 and give n. -64 Rearrange 211*z + 468*z + 170*z + 456*z + 253*z to the form d + b*z and give b. 1558 Express 23*v**2 + 139*v + 8*v + 127*v - 22*v**2 - v**4 in the form y + b*v**4 + z*v + g*v**2 + m*v**3 and give g. 1 Express 9*t + 15*t + 112*t**2 + 8*t + 11*t - 41*t in the form p*t**2 + s + b*t and give p. 112 Express 17*l**2 - 60*l**2 - 449580*l**3 + 449586*l**3 in the form g*l + z*l**3 + p*l**2 + r and give p. -43 Rearrange 29*j - 153*j + 38*j - 273*j - 117*j to d + a*j and give a. -476 Express -2*u - 51*u**2 - 6 + 24*u**2 + 6 in the form j + w*u + p*u**2 and give w. -2 Rearrange -12*w + 258*w**2 + 25*w - 8*w - w to the form s + c*w + i*w**2 and give c. 4 Rearrange -314600 + 19*d**2 + 10*d**2 + 314596 to p*d + i*d**2 + b and give b. -4 Rearrange 2*m**4 - 37*m**2 + 2*m**2 + 4*m**3 + 26*m**2 - 41*m**2 + 3*m**2 to w*m**2 + y*m + z*m**3 + b + j*m**4 and give w. -47 Rearrange 232*x**2 + 111*x - 53*x - 58*x to v*x**2 + w + g*x and give v. 232 Express (-o + 3*o - 4*o + (-4*o - 2*o + 3*o)*(-2 + 2 - 2))*(-354*o**2 - 394*o**2 - 300*o**2) as q*o**3 + h*o**2 + y*o + s and give q. -4192 Rearrange -4*z**2 + z + 2*z**2 - 7*z - 37*z**3 - 2 + 8*z to j*z**3 + n*z**2 + k*z + c and give c. -2 Express 28*o**3 + 4*o**3 + 57*o**3 - 2*o**3 - 12 as u*o**2 + a*o + q*o**3 + w and give q. 87 Express -1465*m**2 - 11 + m + 733*m**2 + 731*m**2 in the form n*m**2 + x*m + l and give n. -1 Express -36*f + 3*f**3 + 5*f - 30*f in the form j*f + z*f**3 + t*f**2 + u and give z. 3 Express -203*a**2 + 28*a - 7*a - 21*a as g*a + q + d*a**2 and give d. -203 Express (-4*l**3 - 11 + 29*l**3 - 21*l**3)*(5*l - 7*l - 2*l) in the form p*l**3 + k*l**4 + n*l + c*l**2 + q and give n. 44 Express (-3*a**2 - a - a + 2*a**2)*(-1 + 0 + 0)*(-692*a - 393*a + 395*a)*(0 + 0 + 2*a) as c + y*a**4 + w*a + d*a**3 + l*a**2 and give c. 0 Rearrange -16 + 5 + 12 + 1 + 2*s**2 + s**2 - 43*s - s**4 to w + o*s + x*s**3 + q*s**4 + c*s**2 and give x. 0 Express -2205 + 2205 + 139*y as b*y + j and give j. 0 Rearrange -11 + 59 + 2062*d - 48 to the form z*d + s and give s. 0 Rearrange 34*c**2 - 79*c - 33*c**2 + 213*c to o + b*c + n*c**2 and give b. 134 Rearrange ((2 + 3 - 4)*(1 - 2 + 2) - 2 - 3 - 1)*(-6 + 6 + 22*a) to the form i*a + u and give i. -110 Rearrange 0*s*
{ "pile_set_name": "DM Mathematics" }
- 3*s - 17. Give 12*k(r) + 3*v(r). -3*r**2 + 3*r - 87 Let q(l) = 9*l**2 - 840*l - 1. Let g(w) = 25*w**2 - 2512*w - 3. What is -4*g(j) + 11*q(j)? -j**2 + 808*j + 1 Let j(v) = 29*v**3 + 10*v**2 + 301*v - 4. Let w(f) = 13*f**3 + 4*f**2 + 149*f - 2. Determine 2*j(q) - 5*w(q). -7*q**3 - 143*q + 2 Let n(u) = 137 - 137 - 28*u. Let j(g) be the first derivative of g**2/2 + 707. Calculate -21*j(h) - n(h). 7*h Suppose -29 = -6*i - 35. Let a(h) = -6*h - 11. Suppose 0 = 5*u - x + 19, -4*u + 11*x = 7*x + 12. Let k(c) = c + 1. Give i*a(g) + u*k(g). 2*g + 7 Let y(n) = -16*n - 883. Let o(l) = 37*l + 1764. Calculate -3*o(w) - 7*y(w). w + 889 Let r(q) = -5*q + 4. Let v(m) = -m**2 + 3825*m + 29. Give -7*r(k) + v(k). -k**2 + 3860*k + 1 Let t(b) = 15*b - 4*b - 8 - 7 + 9*b**2. Let p(g) = -27 - 26 + 4*g**2 - 49 + 95 + 5*g. Calculate 13*p(u) - 6*t(u). -2*u**2 - u - 1 Let y(c) = -c**2 - c - 1. Let i(v) = -8*v + 11*v**2 + 0 + 10*v - 4 - 4*v. Give -i(r) + 3*y(r). -14*r**2 - r + 1 Let j(b) = -b**2 - b. Let h(r) = -2*r**3 - 12*r**2 - 10*r - 6. Let v(a) = a**2 + 169*a - 341. Let w be v(-171). What is w*h(x) - 12*j(x)? -2*x**3 + 2*x - 6 Let m(b) = -11*b**2 - 6. Let a(g) = 341*g**2 + 187. Let h = 7543 + -7730. Calculate h*m(n) - 6*a(n). 11*n**2 Let o(q) = 11*q**2 + 31*q - 223. Let f(k) = 6*k**2 + 13*k - 111. Determine 5*f(a) - 2*o(a). 8*a**2 + 3*a - 109 Let r(l) = -4*l + 2. Let x(m) = -16*m + 27. Let h be x(2). Let n(s) = -24 - 4*s + 11 + 15. Determine h*n(w) + 6*r(w). -4*w + 2 Let m(u) = 11*u**3 - 4*u**2 - 11*u - 11. Let o(k) = -56*k**2 - 6 + 56*k + 5*k**3 + 12*k**2 + 42*k**2 - 62*k. Determine 6*m(g) - 11*o(g). 11*g**3 - 2*g**2 Let m(i) = -i + 1. Let d(n) = 38*n - 18. Let o be 5/2*(1288/115)/14. What is o*d(y) + 36*m(y)? 40*y Let x(d) = 314*d - 9. Let u(w) = -65*w - 1. Give -5*u(t) - x(t). 11*t + 14 Let g(j) = -6*j**2 - 179 + 88 + 84. Let p(b) = -b**2 - 1. Suppose 4*s + 0 = -8, 0 = 4*m - 2*s - 8. Give m*g(i) - 3*p(i). -3*i**2 - 4 Let m(l) = -7*l**3 - 4*l**2 + 5*l. Let b(t) = 20*t**3 + 11*t**2 - 14*t. Let w(j) = j**3 - 37*j**2 + 100*j - 2301. Let r be w(36). Give r*b(o) + 8*m(o). 4*o**3 + o**2 - 2*o Let v(q) = -93*q**3 + 20*q**2 + 27*q + 229. Let j(f) = -26*f**3 + 7*f**2 + 8*f + 76. Calculate -7*j(s) + 2*v(s). -4*s**3 - 9*s**2 - 2*s - 74 Let q(k) = 407511*k + 8748. Let c(s) = 745*s + 16. Give 2187*c(d) - 4*q(d). -729*d Let p(o) = -102*o**2 - 12*o + 12. Let l(w) = 64*w**2 - 4*w + 48. Let v(k) = -27*k**2 + k - 17. Let u(q) = -4*l(q) - 11*v(q). Give 5*p(j) + 12*u(j). -18*j**2 Let p(g) = 16*g + 1 + 9*g - 3*g**2 - 30*g + 13*g**2 + 6*g - 9*g**2. Let h(u) = u**3 - 6*u**2 - 6*u - 6. Let q be (-51)/(-9) + 2/6. Calculate q*p(d) + h(d). d**3 Let w(k) = k**3 + 4*k**2 + 2*k + 1014. Let s(z) = z**3 + z**2 + z - 1. Give 3*s(u) - w(u). 2*u**3 - u**2 + u - 1017 Let n(m) = -5*m + 1. Let q(k) = 56*k - 55. Calculate -8*n(o) - q(o). -16*o + 47 Let f(y) = 2*y**3 + 4*y**2 + 3*y + 2. Let h(n) = 4*n**2 - 6 + 4*n + 8 - 6280657*n**3 + 6280659*n**3. Calculate -5*f(x) + 4*h(x). -2*x**3 - 4*x**2 + x - 2 Let i(p) = -37*p. Let u be -1 - -3 - (8 - 1). Let a(o) = -76129*o + 151983*o - 75879*o. Determine u*i(z) + 7*a(z). 10*z Let z(x) = 19*x**2 + 2*x - 1. Let b(k) = -188*k**2 - 18*k - 8994. Determine b(o) + 10*z(o). 2*o**2 + 2*o - 9004 Let g(n) = -2*n - 14. Let s(i) = 10*i - 2924. Give 6*g(y) + s(y). -2*y - 3008 Let l(r) = 21*r**3 + 5*r**2 - 418*r + 12. Let m(k) = 10*k**3 + 2*k**2 - 214*k + 5. Calculate 2*l(i) - 5*m(i). -8*i**3 + 234*i - 1 Let s(n) = -4*n - 7. Let d(a) be the first derivative of a**2/2 - 774. Calculate -6*d(w) - s(w). -2*w + 7 Let a(l) = -2. Let b(v) = -8*v**2 + 835075 - 835069 - 8*v**2 - 7*v**2. What is 6*a(j) + 2*b(j)? -46*j**2 Let w = -7262 + 7302. Let g(j) = -j**2 + 8*j - 8. Let r(k) = k**2 - k + 1. What is w*r(z) + 5*g(z)? 35*z**2 Let r(v) = -3*v**2 + 26 - 6 - 13 - 6*v - 11*v**2 + v. Let x(n) = -21*n**2 - 7*n + 10. Calculate -7*r(h) + 5*x(h). -7*h**2 + 1 Let m(a) = 26*a + 2. Let g(z) = -5*z - 1. Give 7*g(l) + 2*m(l). 17*l - 3 Let o(s) = -13*s**2 - 491*s + 22. Let v(d) = 28*d**2 + 981*d - 47. Give 15*o(a) + 7*v(a). a**2 - 498*a + 1 Let n(q) = 8*q + 3. Let x(v) = 125*v + 45. Let c(o) = 62*o + 22. Let j(b) = -5*c(b) + 3*x(b). Let g be -54*(-19 - (-13299)/702). Determine g*j(y) - 25*n(y). -5*y Let w(t) = -14*t**3 - 6*t**2 - 33*t - 17. Let y(j) = 30*j**3 + 13*j**2 + 68*j + 36. Determine 13*w(d) + 6*y(d). -2*d**3 - 21*d - 5 Let p(o) = 13*o + 9662. Let z(a) = -18*a - 12884. Calculate 11*p(t) + 8*z(t). -t + 3210 Let s(c) = 15*c - 3. Let k(d) = -7*d - 22. Let n = -119 - -113. Let q(r) = 4. Let y(z) = n*q(z) - k(z). Calculate -3*s(m) + 5*y(m). -10*m - 1 Let v(n) = -5*n - 4. Let t(g) be the first derivative of -9*g**2/2 - 7*g + 3. Let m(o) = -o**3 - 16*o**2 - 3*o + 175. Let d be m(-15). What is d*v(h) + 3*t(h)? -2*h - 1 Let x(s) = 111*s**3 + 9*s**2 - 7*s + 8. Let k(t) = -t**3 - t**2 + t - 1. Determine 6*k(a) + x(a). 105*a**3 + 3*a**2 - a + 2 Let g(y) = 4*y. Let s(h) = -4*h. Suppose -2 = -6*l + 22. Let o be (60/35)/(l/(-14)). What is o*s(r) - 7*g(r)? -4*r Let d(l) = -l**3 - 5*l**2 - 9*l + 16. Let h = -19343 - -19346. Let g(x) = x**3 + 3*x**2 + 5*x - 8. Calculate h*d(o) + 5*g(o). 2*o**3 - 2*o + 8 Let g(n) = 29*n - 312. Let y(p) = -10*p + 105. What is 3*g(o) + 8*y(o)? 7*o - 96 Let d be 1*(-5)/((-65)/(-26)). Let m(s) = -676*s. Let x(w) = 15*w. Determine d*m(o) - 91*x(o). -13*o Let n(j) = 81901331*j**2 + 35058*j + 490812. Let k(x) = -11681*x**2 - 5*x - 70. Give -35058*k(a) - 5*n(a). 5843*a**2 Let v(d) = -6927*d + 100. Let y(q) = -10390*q + 140. Determine 7*v(i) - 5*y(i). 3461*i Let j(w) = -17*w + 257. Let n be j(15). Let a(s) = -n*s**3 + 5 - 141*s - 4*s**3 + 143*s - 3. Let u(f) = 7*f**3 - 3*f - 3. What is -6*a(m) - 4*u(m)? 8*m**3 Let d(o) = -8*o**3 + 2*o**2 + 5*o + 2. Let w(f) = 7*f**3 - 868*f**2 + 1723*f**2 - 2 - 857*f**2 - 4*f. Determine -4*d(c) - 5*w(c). -3*c**3 + 2*c**2 + 2 Let v(f) = -2*f + 5. Let h(z) = 25 + z - 16 - 12 + 3. Determine 3*h(d) - v(d). 5*d - 5 Let b(z) = 1. Let h(a) = -4 - 6*a - 7 - 2 + 13 - 4 + 2*a**2. Calculate -5*b(d) - h(d). -2*d**2 + 6*d - 1 Let b(j) = j**3 - j - 1. Let h(z) = -5*z**3 + 5*z + 6. Let k be ((-24)/4 - -4)*18/(-4). Suppose 0 = -9*t + 18*t + k. What is t*h(a) - 6*b(a)? -a**3 + a Let f(r) = 3*r**3 + 39*r**2 - 592*r + 4. Let q(z) = -5*z**3 - 69*z**2 + 1185*z - 7. Give -7*f(s) - 4*q(s). -s**3 + 3*s**2 - 596*s Let s(o) = -4223*o**3 + 86*o**2 + 25*o + 25. Let c(v) = -528*v**3 + 10*v**2 + 3*v + 3. Determine 25*c(b) - 3*s(b). -531*b**3 - 8*b**2 Let k(b) = -9*b - 4. Let j(v) = -31*v - 9. Let l(h) = -23*h - 7. Let o(x) = -3*j(x) + 4*l(x). Give -k(f) + 3*o(f). 12*f + 1 Suppose 72 = -42320*v + 42308*v. Suppose 4*b = -a - 18, 2*a + 12 = -2*a - 4*b. Let f(d) = -6 + 2*d - d - a*d. Let t(k) = 1. Calculate v*t(l) - f(l). l Let c = -9468 + 9474. Let m(f) = -7*f**3 - 2*f**2 - 2*f + 2. Let i(h) = -21*h**3 - 7*h**2 - 7*h + 7. Determine c*i(t) - 21*m(t). 21*t**3 Let k(z) be the first derivative of -z**2/2 - 3. Let y(j) = -j**2 + 59*j - 316. Let o be y(53). Let h(x) = -2*x. Give o*h(v) - 5*k(v). v Let y(w) = -2*w + 2. Let o(q) = -3*q + 4. Suppose -240 - 105 = -69*b. Calculate b*y(x) - 3*o(x). -x - 2 Let s(l) = l**2 + 56*l - 10. Let d(f) = -13*f**2 - 41*f + 15. Let u(k) = -29*k**2 - 83*k + 32. Let r(a) = -9*d(a) + 4*u(a). What is -7*r(g) + 5*s(g)? -2*g**2 + 21*g - 1 Suppose -2*k = -5*h - 27, 5*h + 20 = 19*k - 24*k. Let w(g) = -7*g**3 + 3*g**2 + 5*g - 6. Let u(t) = -8*t**3 + 4*t**2 + 6*t - 7. What is h*u(n) + 6*w(n)? -2*n**3 - 2*n**2 - 1 Let b(o) = -38*o - 6. Suppose 14*v - 64*v = 91*v - 2679. Let z(t) = 114*t + 19. What is v*b(k) + 6*z(k)? -38*k Let f(i) = 4*i**2 - 6. Let q = 6420 + -6420. Let h(l) be the second derivative of 3*l + q*l**3 + 0 - 7/2*l**2 + 5/12*l**4. Give -7*f(y) + 6*h(y). 2*y**2 Let x(h) = -36*h - 2084. Let w(s) = -58*s - 3125. Determine -5*w(i) + 8*x(i). 2*i - 1047 Let i(y) = -134*y**2 - 5*y - 45. Let j(f) = -25*f**2 - f - 9. Give -2*i(s) + 11*j(s). -7*s**2 - s - 9 Let x(a) = 2*a**2 - 141*a - 1. Let o(m) = -3*m**2 + 180*m + 1. Let y(i) = -11*o(i) - 14*x(i). Let n(l) = 6*l**2 - 7*l + 3. Calculate 6*n(v) - 7*y(v). v**2 - 3 Let f(b) = 472*b**3 - 6*b**2 - 34*b. Let q(m) = -1889*m**3 + 22*m**2 + 128*m. Determine 15*f(u) + 4*q(u). -476*u**3 - 2*u**2 + 2*u Let z(l) be the se
{ "pile_set_name": "DM Mathematics" }
se 30*s + r = 31*s. What is m in -3/4*m**3 - 5/4*m**s + m + 1 = 0? -2, -2/3, 1 Let b(d) be the second derivative of 0*d**2 + 0*d**3 - 1/14*d**4 + 10 - 3/20*d**5 + d. Factor b(r). -3*r**2*(7*r + 2)/7 Let o(r) be the second derivative of -6*r + 1/180*r**5 + 29/2*r**2 + 0 + 0*r**4 - 1/18*r**3. Let p(q) be the first derivative of o(q). Factor p(u). (u - 1)*(u + 1)/3 Let o(r) = 12*r**2 - 3616*r - 273628. Let g(l) = 7*l**2 - 2411*l - 182418. Let q(i) = -8*g(i) + 5*o(i). Factor q(d). 4*(d + 151)**2 Suppose -14 = -n - 3*z, 7*n - 8*n - 6 = -2*z. Let o(x) be the first derivative of 4 - 2*x**n + 4/9*x**3 + 8/3*x. Determine a, given that o(a) = 0. 1, 2 Suppose -416*i + 335 = -140*i - 209*i. Let j(a) be the second derivative of 1/130*a**i + 0*a**2 - 10/39*a**3 + 0 - 25*a - 1/26*a**4. Factor j(h). 2*h*(h - 5)*(h + 2)/13 Let g be (-149150)/31400 + -4*2/(-1). Solve -g*j - 5/4*j**2 + 3/2 = 0 for j. -3, 2/5 Suppose -3*n + 25 = 5*i, 2*n - 6*n + 30 = 5*i. Factor -15040 + 210*u - 133*u + 12313 + 391*u - 15525 - 3*u**i. -3*(u - 78)**2 Suppose 7*q + 6 = 9*q. Suppose -2*r + 11 = 3*c, -15*r + 20*r + 15 = c. Factor -3 + c*n**2 + n**3 + 0*n - 6 + 0*n**3 + q*n. (n - 1)*(n + 3)**2 Let n(y) = -y**3 + 10*y**2 + 146*y + 20. Let v be n(-8). Find r such that 23*r**4 - 28*r**3 - 1 - 32*r - 46*r**2 - 29*r**v - 7 = 0. -2, -1, -2/3 Let c(w) = -8 - 5*w + 26*w**2 + 3*w - w. Let b(q) = 53*q**2 - 7*q - 17. Suppose -9*g - 72 = -21*g. Let l(j) = g*b(j) - 13*c(j). What is m in l(m) = 0? -2/5, 1/4 Factor 0 - 2/3*b**2 - 248/3*b. -2*b*(b + 124)/3 Let u(n) be the first derivative of -2/5*n**5 - 17/6*n**3 - 3/2*n + 65 - 1/24*n**6 - 3/2*n**4 - 23/8*n**2. Factor u(r). -(r + 1)**3*(r + 2)*(r + 3)/4 Let b(x) be the third derivative of x**5/72 - 97*x**4/72 - 13*x**3/12 + 678*x**2 - x. What is f in b(f) = 0? -1/5, 39 Let q(g) be the first derivative of 0*g**2 - 2/7*g + 3 + 2/21*g**3. Factor q(d). 2*(d - 1)*(d + 1)/7 Let w = -35344 + 494825/14. Let i(m) be the second derivative of 0 + 43*m + w*m**2 + 1/7*m**3 - 1/28*m**4. Solve i(o) = 0. -1, 3 Let k(y) be the second derivative of 1/12*y**4 + 20/3*y**3 + 19*y + 200*y**2 - 1. Factor k(r). (r + 20)**2 Let u(z) = z - 4*z + 0*z. Let m(k) = k**2 - k + 1. Let d(i) = -i**2 + 3. Let h be d(2). Let f(l) = h*m(l) + u(l). Factor f(s). -(s + 1)**2 Factor -58286452*v + 1316718/5*v**2 - 1987/5*v**3 + 290117528/5 + 1/5*v**4. (v - 662)**3*(v - 1)/5 Let o(y) be the first derivative of 3/4*y + 1/24*y**3 - 79 + 7/16*y**2. Factor o(f). (f + 1)*(f + 6)/8 Let c be 9/(-12) + ((-4059)/(-4))/9. Let r be 1*(-3)/9 - c/(-21). Factor -5*m**2 + 3*m**2 + r*m**2 - 2*m**2 - m. m*(m - 1) Find i such that -4/3*i**5 + 0*i + 0*i**2 - 32/9*i**3 - 44/9*i**4 + 0 = 0. -8/3, -1, 0 Suppose 0 = 5*l - 4*g - 952, -1008 = -5*l + 66*g - 70*g. Let -8*o**4 + l - 154*o - 17*o**2 + 73/2*o**3 + 1/2*o**5 = 0. What is o? -2, 2, 7 Let p be (-41)/(-3) - 4/(-12). Let n = -10 + p. Find z, given that 24*z + 9*z**n + 4*z**4 - 36*z**2 - 6*z**3 - 4*z**4 = 0. -2, 0, 2/3, 2 Let 0*w**2 + 32/13 - 2/13*w**3 + 24/13*w = 0. What is w? -2, 4 Let p(c) = -2769*c**3 + 3839*c**2 - 1060*c + 62. Let q(k) = -2*k**3 + 37*k**2 + 1. Let x(v) = -p(v) + 2*q(v). What is n in x(n) = 0? 6/79, 2/7, 1 Let w(v) be the first derivative of -30/7*v**2 - 13/28*v**4 + 30 + 4*v + 3/70*v**5 + 2*v**3. Let i(r) be the first derivative of w(r). Factor i(d). 3*(d - 2)**2*(2*d - 5)/7 Let f be (30/45)/(328/123). Factor -1 - f*y**3 + 1/4*y**2 + y. -(y - 2)*(y - 1)*(y + 2)/4 Let z = -20/9817 + 19694/29451. Factor 2/3*y**4 + 8/3*y**3 - 4*y + 0 + z*y**2. 2*y*(y - 1)*(y + 2)*(y + 3)/3 Factor -1/5*y**4 + y**3 + 0*y**2 + 0*y + 0. -y**3*(y - 5)/5 Let g = 76655 - 229943/3. Factor -10/3 + g*r + 2/3*r**3 - 14/3*r**2. 2*(r - 5)*(r - 1)**2/3 Factor -449 - 415 + 172*b + 1305 + b**2 - 441. b*(b + 172) Let y = -75 - -32. Let k = -31 - y. Factor -24*q**2 - 4*q**3 + 0*q**4 + k*q**2 + 8 + 3*q**4 + q**4 + 4*q. 4*(q - 2)*(q - 1)*(q + 1)**2 Let g(s) be the third derivative of s**7/1890 + s**6/108 - 3*s**4 - 2*s**2 + 16. Let u(i) be the second derivative of g(i). Solve u(a) = 0. -5, 0 Let c(t) be the third derivative of -79507/12*t**3 + 1/240*t**6 + 1849/16*t**4 + 209*t**2 - 43/40*t**5 + 0 + 0*t. Determine f, given that c(f) = 0. 43 Let v(h) be the third derivative of 1/15*h**5 + 19/3*h**4 + 0*h + 3 - 8*h**2 + 722/3*h**3. Find g such that v(g) = 0. -19 Let o(z) be the first derivative of -2*z**3/21 + 16*z**2/7 + 466. Find j such that o(j) = 0. 0, 16 Let i be (-33 - 12145/(-385))/(6/(-11)). Factor -i + 4/3*h**3 + 0*h**2 - 4*h. 4*(h - 2)*(h + 1)**2/3 Let t(u) be the second derivative of -4*u**2 + 1/21*u**7 + 4/3*u**4 + 5*u - 4/15*u**6 + 1/3*u**3 - 1/5*u**5 - 10. Suppose t(y) = 0. What is y? -1, 1, 4 Let o be (-2)/(((-9600)/40)/(-40))*((-11)/4 + 2). Factor o*d**2 + 3/2 - 5/4*d. (d - 3)*(d - 2)/4 Let n(p) be the third derivative of -p**5/12 - 25*p**4/24 + 770*p**3 - 27*p**2 - 32*p - 1. Factor n(x). -5*(x - 28)*(x + 33) Let 16429 + j**2 - 59*j + 123*j - 14425 + 607*j = 0. Calculate j. -668, -3 Let q = 8471/2 - 4120. Let y = q - 689/6. Factor -1/3*d**5 + 1/3*d + y*d**2 + 0*d**3 - 2/3*d**4 + 0. -d*(d - 1)*(d + 1)**3/3 Suppose 22 + 20 = 14*h. Find d such that -2*d**h + 2*d + 5*d**2 - d**2 + 1 + 1 - d**4 - 2*d**4 - 3 = 0. -1, 1/3, 1 Suppose 624*v - 339*v = 1425. What is o in -36/5*o**2 + 4/5*o**4 + 0 + 0*o + 36/5*o**3 - 4/5*o**v = 0? -3, 0, 1, 3 Let g(d) = 2 - 2*d**2 - 10*d + 3*d**2 + 3 + 21. Let w be g(6). Suppose 50*m**3 - 50*m**3 - 8*m - 4*m**4 + 12*m**w = 0. What is m? -2, 0, 1 Let p(j) be the first derivative of 16/3*j**3 + 0*j - 314 - 1/4*j**4 - 32*j**2. Factor p(k). -k*(k - 8)**2 Let s = -271158 - -271161. Factor 1/3*h**5 - 4/3*h**2 - 4/3*h**s + 0*h + 0 + 1/3*h**4. h**2*(h - 2)*(h + 1)*(h + 2)/3 Let h(u) be the first derivative of -u**5/30 - u**4 - 12*u**3 + 3*u**2/2 + 11*u + 69. Let l(a) be the second derivative of h(a). Suppose l(r) = 0. What is r? -6 Let j(h) be the first derivative of -h**4/4 + 17*h**3/3 - 47*h**2/2 - 65*h - 5195. Factor j(u). -(u - 13)*(u - 5)*(u + 1) Let b(y) = 3*y + 17 + 2*y + y**2 - 21. Let u be b(-6). Factor 2*m**3 - 5*m**2 - m**3 + 2*m**2 + 15*m + 25 - 6*m**u. (m - 5)**2*(m + 1) Let s(l) = 2*l**3 + 22*l**2 + 10*l - 15. Let v be s(-10). Let w be (-30)/(v/30 - 3). Factor -j**2 + j**3 - 179 + 0*j**2 - j + w. (j - 1)**2*(j + 1) Let w(n) be the second derivative of -n**5/5 - 37*n**4 - 2346*n**3 - 46818*n**2 + 3311*n + 2. Factor w(o). -4*(o + 9)*(o + 51)**2 Let r = 16861/4790 - 48/2395. Factor r*t + 1/2*t**2 + 6. (t + 3)*(t + 4)/2 Let g(s) be the second derivative of s**4/3 + 88*s**3/3 - 384*s**2 + 2*s - 1965. Factor g(n). 4*(n - 4)*(n + 48) Let t(g) be the third derivative of -g**6/120 + 7*g**5/20 - 7*g**4/3 + 6*g**3 + 3771*g**2. Determine r, given that t(r) = 0. 1, 2, 18 Let l = -391469 - -391472. Determine p, given that 3/4*p**3 + 9*p - l + 9/4*p**4 - 33/4*p**2 - 3/4*p**5 = 0. -2, 1, 2 Suppose -l = 4*w - 11, -4*l + 87 + 62 = -5*w. Factor 9*z - z**2 - l*z - 6*z + 5*z - 81 + 5*z. -(z + 9)**2 Suppose -342*x**2 - 800/7 + 2/7*x**4 + 2398/7*x + 794/7*x**3 = 0. Calculate x. -400, 1 Let u(a) = -a**3 + a**2 + 140*a - 597. Let s be u(5). Factor 1/2*o - 1/4*o**s + 1/4*o**2 + 0. -o*(o - 2)*(o + 1)/4 Let x be (4277/406 + 28/(-812))/((65/120)/13). Find l such that x*l**2 + 3 - 81/2*l**3 - 109/2*l = 0. 1/9, 6 Let z(p) be the second derivative of 0*p**5 + 0*p**4 + 0 + 1/56*p**7 + 0*p**2 + 1/40*p**6 + 0*p**3 - 40*p. Suppose z(l) = 0. What is l? -1, 0 Let p = 2967 - 2967. Let h(z) be the third derivative of 0 - 9*z**2 + 0*z - 1/420*z**7 - 1/240*z**6 + 0*z**4 + 1/60*z**5 + p*z**3. Factor h(u). -u**2*(u - 1)*(u + 2)/2 Let p(q) = -81*q**3 - 489*q**2 - 475*q - 119. Let v(c) = -486*c**3 - 2931*c**2 - 2850*c - 711. Let t(w) = 39*p(w) - 6*v(w). Factor t(j). -3*(j + 5)*(9*j + 5)**2 Let k be (-16)/(-104) - (-391)/(-3978). Let m(a) be the first derivative of -1/3*a**2 - 1/2*a - k*a**3 - 5. Factor m(d). -(d + 1)*(d + 3)/6 Suppose 26928 = 43*b - 26*b. Let j be 2 + (-4)/22 + (-2286)/b. Factor -j + 3/4*x - 3/8*x**2. -3*(x - 1)**2/8 Let j = -181 - -183. Let 25*p + p**2 + 22*p - 5*p - 576 + 6*p - 2*p**j = 0. What is p? 24 Find n, given that -8*n - 10*n + 43*n - 6*n - 9*n - 2*n**3 + 8*n**2 = 0. -1, 0, 5 Let q(n) = 2*n**2 - 6. Let a be q(-2). Let d be (-4)/(-3)*(-45)/(-20). Determi
{ "pile_set_name": "DM Mathematics" }
) -3052 (c) 1 (d) -1/3 d Which is the smallest value? (a) 2/3 (b) -26 (c) 1 (d) 0.0157 b What is the fifth smallest value in -2/7, -4/5, -0.1, 0.1, -727/4? 0.1 Which is the fifth smallest value? (a) 3 (b) -2 (c) 0.5 (d) 3/5 (e) 0.1 a Which is the second smallest value? (a) -7 (b) 1/4 (c) -24.7 a Which is the smallest value? (a) 2/595 (b) 2/3 (c) -160 c Which is the smallest value? (a) 1088 (b) -0.2 (c) 5 (d) 7 (e) 3/4 (f) -0.1 b Which is the smallest value? (a) -2/11 (b) -152 (c) -6/11 (d) 2/11 b What is the second smallest value in -5/2, -1/5, 2/3, 1, 4, 4/7? -1/5 Which is the second biggest value? (a) 2 (b) -1 (c) 623.1 a Which is the fourth biggest value? (a) -18 (b) 3/2 (c) -1 (d) 2 a What is the third smallest value in 2, -1, 552, -2/3? 2 Which is the third biggest value? (a) -0.2 (b) -0.0131 (c) 53 a What is the second smallest value in 1/3, -1, -1/126817? -1/126817 What is the biggest value in -2, 0.2, -1/5, -0.1, 136, 42? 136 Which is the third biggest value? (a) 11/6 (b) -0.87 (c) -41 c Which is the sixth smallest value? (a) 0.01 (b) 0.5 (c) -0.145 (d) -5 (e) 3 (f) -0.02 e Which is the fifth biggest value? (a) 0.5297 (b) -2 (c) 1 (d) 1/25 (e) 6/11 b Which is the second smallest value? (a) 4 (b) -8 (c) -11 (d) -5 b What is the second biggest value in 57, -20, -4/5, 2, -2? 2 Which is the third smallest value? (a) 3/7 (b) 11 (c) 1 (d) -0.4 (e) -0.06 a What is the third biggest value in 0.1, 2203, 1/4, -4, 1, 4? 1 Which is the fourth smallest value? (a) 4 (b) 0.89 (c) 0.8 (d) 2 (e) -5 d Which is the third biggest value? (a) 5 (b) 2/15 (c) -5 (d) -9/5 (e) -4 (f) 3 b Which is the biggest value? (a) 0.2 (b) 207628 (c) 9 b Which is the smallest value? (a) -1 (b) 0.031 (c) 25 (d) 0.5 a Which is the second smallest value? (a) -4 (b) 939/8 (c) -7/8 c What is the second biggest value in 2/7, 58, -0.269? 2/7 Which is the smallest value? (a) -3/5 (b) -183 (c) -0.2 (d) 45 (e) 3 b Which is the third smallest value? (a) -91 (b) -1/4 (c) 69 c Which is the biggest value? (a) 1 (b) 2/45 (c) -2/13 (d) -5 (e) 1/4 a Which is the third biggest value? (a) -2.17555 (b) -4 (c) 0.09 b What is the third biggest value in 1/3, -1.5, 2/9, -11/12, -1, -5? -11/12 What is the third biggest value in 3.5, 1, -3/13, -4/3, -0.5? -3/13 What is the biggest value in -0.1, 0.3, 0.4, -3, 18, -9/4? 18 Which is the biggest value? (a) 1 (b) -9 (c) 0.04 (d) -2 (e) -8 (f) -0.06 a Which is the fourth smallest value? (a) -1/3 (b) -87 (c) 103/3 (d) 4 c Which is the second smallest value? (a) -2/3 (b) -5 (c) -4 (d) 0.1 (e) -1 (f) -167/2 b Which is the third smallest value? (a) 4 (b) 123 (c) -1/5 (d) -87 a Which is the fifth smallest value? (a) -3 (b) 2 (c) -5 (d) 9 (e) 31.1 e Which is the sixth biggest value? (a) 0 (b) -0.1 (c) 13.34 (d) 5 (e) 6/7 (f) 3 b What is the second smallest value in 5, 0.14, -6050? 0.14 What is the second biggest value in -13, -9, 1.6, 2/9? 2/9 What is the second biggest value in 14, 4, 11, 0.05, 0.2, 1? 11 Which is the sixth smallest value? (a) 2/371 (b) 4/5 (c) 3 (d) 4 (e) -10/9 (f) -4 d Which is the smallest value? (a) 0.05 (b) 1 (c) -4 (d) 3/7 c What is the fifth biggest value in -14, 68, -2, 1/4, -0.1, 0? -2 What is the fifth smallest value in 3, 15/16, -1.5, -1, -2.2? 3 What is the second biggest value in 18/685, -0.04, -2, 2/13? 18/685 Which is the biggest value? (a) 4 (b) 0.0476 (c) -17 a Which is the third biggest value? (a) 0.013 (b) 1148 (c) -0.4 c Which is the second biggest value? (a) 1/3 (b) -26396 (c) 0.3 c Which is the second smallest value? (a) -1.1 (b) -3 (c) 2711 a Which is the smallest value? (a) -3 (b) 8 (c) 4376 a What is the third smallest value in -102, -4, -1/128? -1/128 What is the third biggest value in 0.4, -0.3, 0.2, 0.488, 0.0179? 0.2 What is the fifth biggest value in -1, 0.3, -2, -3, 827, 2/3? -2 What is the third biggest value in -121/4, -0.2, -88/5? -121/4 Which is the smallest value? (a) 0.4 (b) -1 (c) -3 (d) 57 (e) -1/21 (f) 1/12 c What is the third smallest value in 1/3, -1416, 5, 0.1, 1/7? 1/7 What is the third biggest value in 5/4, 34.6, -2? -2 What is the third biggest value in 0.02, 11401, 0.5? 0.02 Which is the fourth smallest value? (a) -18 (b) 6 (c) 0.026 (d) 4 b Which is the second biggest value? (a) 4 (b) -4319 (c) -0.01 (d) -11 c Which is the fourth biggest value? (a) -6/41 (b) 25 (c) 5 (d) 14/11 a Which is the fourth biggest value? (a) 1/6 (b) -6.04 (c) 4 (d) 2/17 b What is the second biggest value in -0.2, 0.3, -97.3? -0.2 What is the second smallest value in -5658/7, -3, -0.2, 1/2? -3 Which is the second biggest value? (a) 1 (b) -2/5 (c) -0.3 (d) 0 (e) 23 (f) -104 a Which is the third smallest value? (a) 4 (b) 0.1 (c) -2 (d) 11868 (e) 2/17 (f) -0.1 b What is the third smallest value in -11, 0.2, 3459? 3459 What is the third biggest value in -10/3061, 0.5, 2? -10/3061 What is the fifth smallest value in -2, 2/17, -0.018, -0.2, 6/11, 0.3? 0.3 Which is the fourth biggest value? (a) -55 (b) -5 (c) -2/19 (d) -6.8 a What is the third biggest value in -3, 0.16, -20, 3, -38, -0.5? -0.5 Which is the third biggest value? (a) -6856 (b) -0.4 (c) -1.2 (d) 2 c Which is the third biggest value? (a) 1 (b) 318/5 (c) 14 a What is the third biggest value in 3/7, -6/43, -18/7? -18/7 What is the third smallest value in -2, 13/6, -1/67, 1? 1 What is the biggest value in -0.2, -191404, -2/15? -2/15 What is the third smallest value in 0.07, -2, 279? 279 Which is the second smallest value? (a) -146 (b) 2 (c) -3 (d) -6 (e) -0.8 d Which is the fourth biggest value? (a) 0.3 (b) -3/7 (c) -3 (d) -2/5 (e) -1066 c What is the smallest value in 0.3, -0.5, -13.8, -0.1, 0.05, 3? -13.8 What is the biggest value in 1.7, -6, -57/44? 1.7 What is the second smallest value in -2, 1/467, 3/7, 1? 1/467 Which is the fourth biggest value? (a) -2/17 (b) 3/4 (c) -1/4 (d) -2 (e) -963 d What is the fourth biggest value in 4/9, 0.4, 0.02, 962? 0.02 Which is the second smallest value? (a) -10 (b) 0.9 (c) -1/2 (d) -0.054 (e) -3 (f) 0.13 e What is the second biggest value in 8/3, 2/13, 0.1, -1511? 2/13 Which is the third biggest value? (a) -437 (b) 5 (c) -1 (d) -0.4 (e) -10 c Which is the smallest value? (a) -5 (b) -100 (c) -98 b What is the third biggest value in -89, 16/15, -3/7, -1/3, -1/2? -3/7 Which is the third smallest value? (a) 1/5 (b) -9 (c) -102 (d) -0.4 (e) 2 d Which is the third smallest value? (a) -206 (b) 6.93 (c) 4 (d) -3 c Which is the third biggest value? (a) 2/9 (b) -1/9 (c) -280.25 c Which is the second biggest value? (a) -5 (b) -21/11 (c) -67/5 a What is the second smallest value in -0.2, -1/6, -371711? -0.2 Which is the third biggest value? (a) 0.3 (b) -230.94 (c) 5 b What is the smallest value in 49/3, -0.026, 3, 0, -0.07? -0.07 What is the third smallest value in -125, 5, -2, -0.4, -6? -2 What is the fifth smallest value in 2/11, -10, -2, 2/13, -12, 0? 2/13 Which is the second smallest value? (a) 5897 (b) -77 (c) 3 c What is the second biggest value in 12, 54, 1/10, 0.2, 1/4? 12 Which is the biggest value? (a) 162 (b) 0.86 (c) 4 a Which is the biggest value? (a) 5 (b) 1/7 (c) -421 a What is the third biggest value in 5/6, -101, 2.7? -101 Which is the smallest value? (a) -43 (b) -0.2 (c) -14/5 a Which is the second biggest value? (a) 0.2 (b) 0 (c) 6 (d) 1.6 (e) 15 (f) -6 c Which is the third biggest value? (a) 0.1 (b) 1142 (c) 2/15 a Which is the second biggest value? (a) 2/11 (b) 1.8218 (c) 7 b What is the fourth smallest value in 2/9, 4, -0.6, 68, -2? 4 Which is the fourth smallest value? (a) 0.4 (b) -10 (c) -3 (d) -0.052 a Which is the fourth biggest value? (a) -1/4 (b) 2/3 (c) 4226 (d) -0.4 d Which is the sixth smallest value? (a) 102 (b) -6 (c) 5 (d) 1/6 (e) 3/4 (f) 1/2 a What is the third smallest value in 8, 0, -1, -1/17, 0.3, 5? 0 Which is the second biggest value? (a) 0.5 (b) -13 (c) 1/6 (d) 32 a What is the biggest value in 32, 1/5, -1/5, 1, -0.5? 32 Which is the smallest value? (a) 7/1502 (b) -4 (c) 1/32 b Which is the fourth biggest value?
{ "pile_set_name": "DM Mathematics" }
2 + 396*s What is the second derivative of j**2*o**2 + 2*j**2 + 5*j*o**3 - 388*j*o - 15*o**5 wrt o? 2*j**2 + 30*j*o - 300*o**3 What is the second derivative of -176*v**3 - 2*v**2*y**2 - v*y**2 - 124 wrt v? -1056*v - 4*y**2 Differentiate 2*o*v*z**3 - 20*o*v + o*z**3 - 394*o*z**2 - 6*v*z wrt v. 2*o*z**3 - 20*o - 6*z Find the second derivative of -13*h**4*w - 2*h**4 + h*w - 2*h - 7*w wrt h. -156*h**2*w - 24*h**2 What is the second derivative of -10*p**3 - 37*p? -60*p What is the second derivative of g**3*s*w - g**3*w + 6*g**3 - 65*g**2 + 57*g*s*w + 5*g*s + 2*g*w wrt g? 6*g*s*w - 6*g*w + 36*g - 130 What is the second derivative of 1481*c**4 + 82*c + 5 wrt c? 17772*c**2 Differentiate 8*c**3*w*x**2 - 11*c**3*w - 2*c**2*w - 8*w*x + 2*w + x wrt x. 16*c**3*w*x - 8*w + 1 What is the second derivative of 9037*u**3 - 6575*u wrt u? 54222*u Differentiate 12*m**3 + 155 wrt m. 36*m**2 Differentiate 2*a**3 - 322*a**2*u + 108*u - 3 wrt a. 6*a**2 - 644*a*u Find the second derivative of 23*b**3*j**2 - 6*b**3 - 3*b**2 + 32*b*j**2 + 2*b wrt b. 138*b*j**2 - 36*b - 6 Find the second derivative of -144*n**5 + 22*n + 1. -2880*n**3 Differentiate -5*w**3*z**2 - 144*w**2*z**2 + 284*z**2 + 2*z with respect to w. -15*w**2*z**2 - 288*w*z**2 What is the second derivative of 144*m**2*t*z + 2*m**2*t - 8*m + 9*t*z wrt m? 288*t*z + 4*t What is the second derivative of 16005*l**4 - 11314*l wrt l? 192060*l**2 Find the second derivative of d**5 + 2345*d**4 - 6886*d wrt d. 20*d**3 + 28140*d**2 Find the first derivative of -135*y**3 - 37 wrt y. -405*y**2 Find the third derivative of 2*f**2*q**3 - 2*f**2*q**2 + 602*f*q**4 + f*q**2 + q**4 + q**3 - 67*q**2 + q wrt q. 12*f**2 + 14448*f*q + 24*q + 6 What is the second derivative of d*s**5 + 6*d*s - 2*d - s**5 - 8*s**2 + 2*s wrt s? 20*d*s**3 - 20*s**3 - 16 What is the second derivative of -1366*d**3 + 5337*d wrt d? -8196*d Find the second derivative of 981*m**2 - 10946*m. 1962 What is the third derivative of -19*d*f**3 - 7*d*f**2*p**3 - 2*d*f**2*p**2 + 323*d*p**3 + f**3*p**3 - 25*f**3*p - p**3 wrt f? -114*d + 6*p**3 - 150*p What is the derivative of 36*o**2 + 5*o - 344 wrt o? 72*o + 5 Find the first derivative of 438*i - 435 wrt i. 438 Differentiate 852*h**3 - 332 wrt h. 2556*h**2 What is the second derivative of 3*b**3*o**2 - 7*b**3*o*p**2 - 10*b**3*o*p + 2*o**2*p**2 + 2*o**2 wrt o? 6*b**3 + 4*p**2 + 4 Find the third derivative of 9*u**6 + 5*u**3 + 47*u**2 - 2*u. 1080*u**3 + 30 What is the third derivative of -2*k**5 + 213*k**4 + 1880*k**2 - 1 wrt k? -120*k**2 + 5112*k Differentiate -11*b**2*m*u**2 - b**2*m*u + 6*b**2*m + 5*b*m - m*u**2 with respect to u. -22*b**2*m*u - b**2*m - 2*m*u Find the first derivative of 3*c**3 - 52*c*v - v + 45 wrt c. 9*c**2 - 52*v Find the second derivative of -625*s**2 + 436*s wrt s. -1250 What is the second derivative of 544*r**3 - 10*r - 7 wrt r? 3264*r Differentiate -165*z**4 - z + 251. -660*z**3 - 1 What is the derivative of 25*b*l**2*p**3 + 2*b*l**2 + b*l + 4*b*p**3 - 4*p**3 wrt l? 50*b*l*p**3 + 4*b*l + b What is the second derivative of 9*k**3*n + 11*k**2*n + 5*k - n wrt k? 54*k*n + 22*n Differentiate -4*a*d*l*w - a*l - 11*a - 8*d*l*w + 2*l*w - 2*w with respect to d. -4*a*l*w - 8*l*w Differentiate -840*l*r - 8*r + 10 with respect to l. -840*r What is the third derivative of 5686*y**4 - 3508*y**2? 136464*y What is the second derivative of -611*u**4 + 3*u**2 - 3979*u? -7332*u**2 + 6 Differentiate 257*t**3*x**2 - 4*t**3*x + 3*t**3 + 4*t**2 - 2*t*x**2 + 288 wrt x. 514*t**3*x - 4*t**3 - 4*t*x What is the first derivative of -y**3*z + 451*y**3 - 57*y**2*z wrt z? -y**3 - 57*y**2 What is the third derivative of 5*k**5 - 7*k**4 + 222*k**2 wrt k? 300*k**2 - 168*k Differentiate 297*q**4 + 205 wrt q. 1188*q**3 Find the first derivative of 2*t**4 - 60*t**2 + 8*t + 13252 wrt t. 8*t**3 - 120*t + 8 Find the third derivative of -2*k*q**6 + 1420*k*q**3 + 2*k*q**2 + q**3 + 12*q**2 + 2*q wrt q. -240*k*q**3 + 8520*k + 6 What is the third derivative of 60*w**4 + 65*w**3 - 3*w**2 + 225*w - 2 wrt w? 1440*w + 390 What is the third derivative of -24*g**4*q**2 - 5*g**4 + 1833*g**2*q**2 + 2*g*q**2 - 3*g wrt g? -576*g*q**2 - 120*g What is the third derivative of -857*g**5 + g**4 - g**2 + 876 wrt g? -51420*g**2 + 24*g What is the first derivative of -13*j**3*s*z - 8*j**3*z**3 + j**3*z**2 - 7*j**2*z - 27*j*s*z**3 - 2*j*s - 4*z**3 wrt s? -13*j**3*z - 27*j*z**3 - 2*j What is the derivative of -231*i - 5645 wrt i? -231 What is the third derivative of -7584*d**4 + 2*d**3 + 11705*d**2? -182016*d + 12 Find the third derivative of -9*b*p**6 + 157*b - 2*p**2 wrt p. -1080*b*p**3 Differentiate -1846*k**3 + 1280. -5538*k**2 What is the first derivative of -15*t**4 + 26*t - 3661 wrt t? -60*t**3 + 26 What is the derivative of -8*i**3 + 36*i**2 - 1804? -24*i**2 + 72*i What is the third derivative of -2036*b**3*c**2 + 165*b**2*c + b*c**2 wrt b? -12216*c**2 Find the second derivative of 572*b**2*l**3 + 63*b*l**3 + 2*l**3 wrt b. 1144*l**3 Find the third derivative of 3394*s**6 - s**5 - 3*s**2 - 184*s + 3 wrt s. 407280*s**3 - 60*s**2 Find the second derivative of 1600*a**2 - 68*a + 29. 3200 Find the third derivative of -f*k**3 - 5*f*k**2 + 24*f - 2*k**3 wrt k. -6*f - 12 What is the first derivative of 542*j**4*l**2 - 4*j**4*l + 424*l**2 - l wrt j? 2168*j**3*l**2 - 16*j**3*l Find the third derivative of -1244*m**3 + 343*m**2 - 3*m wrt m. -7464 What is the second derivative of -16*f**4 + f**3 - 255*f**2 + 38*f + 10 wrt f? -192*f**2 + 6*f - 510 What is the third derivative of -132*d*h**3 - 1075*d*h**2 + 2*d*h - d - 48*h**5 wrt h? -792*d - 2880*h**2 What is the third derivative of -1547*w**5 + 59*w**2 - 6*w wrt w? -92820*w**2 Differentiate -9*k*p**3 + 1047*k - 492*p**4 + 4 wrt p. -27*k*p**2 - 1968*p**3 Differentiate -3*a**3 + 11*a*s - 6*a - 8737*s wrt a. -9*a**2 + 11*s - 6 What is the second derivative of b**2*t**2 - 2*b**2 + 252*b*t**3 - b + 4*t wrt t? 2*b**2 + 1512*b*t Differentiate -57*j**3*s*z + 15*j**3*s + 47*j**3 - 22*j*s**2*z - 2*j*s**2 wrt z. -57*j**3*s - 22*j*s**2 Find the first derivative of 405*b**2 + 10*b - 8996. 810*b + 10 Differentiate -501*h*x**3 + 64*h - 2*x**4 - 21 wrt x. -1503*h*x**2 - 8*x**3 Find the second derivative of 15*m**3 + 355*m wrt m. 90*m Find the third derivative of 141*h**3*j + 2*h**2*j - 32*h**2 - h*j wrt h. 846*j Differentiate -3234*a**4 - 254 with respect to a. -12936*a**3 Differentiate 419*w**2 - 2782 with respect to w. 838*w What is the third derivative of -2*b**5 - 1330*b**3 + 262*b**2 - 4 wrt b? -120*b**2 - 7980 What is the first derivative of -203*k*m*n**3 - 4*k*m + 2*m*n**3 + 87*m - 3 wrt k? -203*m*n**3 - 4*m Find the second derivative of -4*f**2*q**2 - 451*f**2*q + f**2 + 32*f*q**2 + q**2 + 48*q wrt f. -8*q**2 - 902*q + 2 What is the derivative of -51*f**3 - 3*f + 325 wrt f? -153*f**2 - 3 Find the third derivative of d**5 - 75*d**4 + 83*d**2 wrt d. 60*d**2 - 1800*d What is the derivative of -8*d**4 - 7*d**3*t**3 - d*t - 93*t**3 + t wrt d? -32*d**3 - 21*d**2*t**3 - t What is the second derivative of 1690*m**3 + 38*m wrt m? 10140*m Find the first derivative of 145*h + 349. 145 Differentiate 7*h*i**3 + h*i*v + 2*h*t*v - 6*h*t - 280*i**3*v + 9*i*v - 3*t wrt h. 7*i**3 + i*v + 2*t*v - 6*t What is the second derivative of k*u**3*y + 2*k*u**2*y - 2*k*u*y - 4*k + 758*u**3*y**2 - 17*y**2 - y wrt u? 6*k*u*y + 4*k*y + 4548*u*y**2 Find the third derivative of -115*g**2*i*r**3 - 3*g**2*i*r**2*z - 2*g**2*r + g*i*r**3*z**2 - 9*g*i*z - i*r*z**2 + i*r - 3*z**2 wrt r. -690*g**2*i + 6*g*i*z**2 What is the third derivative of -604*w**4 + 3*w**3 + w**2 + 660*w? -14496*w + 18 Differentiate 51*y**4*z**2 - 5*y**4 + 485*z**2 with respect to y. 204*y**3*z**2 - 20*y**3 Find the third derivative of -38*a**5 - 4*a**3 + 309*a**2 wrt a. -2280*a**2 - 24 What is the derivative of k*x**4 - k + 2*p*x**3 + 3*p + x + 4 wrt x? 4*k*x**3 + 6*p*x**2 + 1 Find the second derivative of 1621*h**2*w**2 + 207*h**2*w - 3*h**2 + w**4 - w + 1 wrt w. 3242*h**2 + 12*w**2 What is the third derivative of 93*l**5*n**3 + 2*l**4*n**3 + l**2*n**2 - 2*l*n**3 + 890*l*n wrt l? 5580*l**2*n**3 + 48*l*n**3 What is the derivative of -6*j**2*v**2 + j**2*v - 7*j**2 - 2*j - 15*v**2 wrt v? -12*j**2*v + j**2 - 30*v What is the first derivative of 137*f + 345? 137 What is the deriva
{ "pile_set_name": "DM Mathematics" }
- sqrt(110)) + sqrt(110)))/(sqrt(90)/(sqrt(81) + sqrt(9)) + sqrt(160)*-2)). -125 + 1800*sqrt(11)/31 Simplify 6*(-2 + 3 + (sqrt(175) - (sqrt(175) + -4 + -4) - sqrt(175)) + (sqrt(175) - (sqrt(175)*-4 + 4)) + 4)**2. 2160*sqrt(7) + 17286 Simplify (4*(2 + 4 + sqrt(1458) + -1 + (sqrt(1458) - -1*sqrt(1458)) + -2))**2*-2 + -3. -420195 - 15552*sqrt(2) Simplify -1 + ((sqrt(2057)*-2)**2*1 - (-1 + -3*sqrt(2057)))*-3 + -4. -24692 - 99*sqrt(17) Simplify -3 + ((sqrt(288) + 4 + 5)**2 + 2 - (-3 + (4*sqrt(288)*-5 - sqrt(288))**2)). -126637 + 216*sqrt(2) Simplify ((2*sqrt(405) + 4 + sqrt(405))*-2)**2 + (-2*(1 + sqrt(405)) + sqrt(405))**2 + sqrt(405) + (-1*(1 + sqrt(405)))**2 + 3. 927*sqrt(5) + 15462 Simplify (sqrt(3136) + sqrt(3136)*-2 - sqrt(49) - sqrt(49))/(sqrt(175)*6) - (-2 + sqrt(847) + -2 - sqrt(847) - (-2 + (sqrt(847) + -2)**2)). -133*sqrt(7)/3 + 853 Simplify (3 + 2*(sqrt(175)*-1 + -1 - (sqrt(175) + (1 + sqrt(175) + -4 - sqrt(175))))*2)**2. -880*sqrt(7) + 11321 Simplify (-5*(1*sqrt(150)/sqrt(6)*-6)/(sqrt(405)*1 - (sqrt(125) + (sqrt(125) - (sqrt(125) + 2*sqrt(125) - sqrt(125))) + sqrt(125))))**2. 1125/4 Simplify ((2 + -2 + (sqrt(560)*-2)/(-2*sqrt(320)))*2)**2. 7 Simplify 4*(-4 + ((1 + sqrt(1573))*-1)**2 + 1 + ((sqrt(156) - 3*(sqrt(156) + sqrt(156)*-3 - sqrt(156)))/sqrt(12))**2). 88*sqrt(13) + 11484 Simplify ((-5*sqrt(130)*1 - (4*(sqrt(130) - 1*sqrt(130) - sqrt(130)) + sqrt(130)))*-5)/(4*(sqrt(160) + sqrt(160) + (1*sqrt(160)*1 - sqrt(160)))). 5*sqrt(13)/16 Simplify (5*(4*((sqrt(125) - (-1 + (sqrt(125) - (sqrt(125) + 1)) + sqrt(125) - sqrt(125))) + sqrt(125) + 0 + sqrt(125) + 2 + 4)*2 + -4))**2. 360000*sqrt(5) + 1890000 Simplify 1 + ((sqrt(228) + sqrt(228)*-1 + sqrt(228))*-4 + sqrt(228) - -5*(sqrt(228) + sqrt(228)*-3))/(-1*sqrt(192) - sqrt(12) - -3*sqrt(300)). -13*sqrt(19)/10 + 1 Simplify ((sqrt(672) - -5*4*sqrt(672))*2)/((3*-2*sqrt(72))/((sqrt(120)/sqrt(5))/sqrt(2))). -28*sqrt(7) Simplify (-5*((sqrt(196) - 6*sqrt(196)*1)*4)/(sqrt(56)/(2*sqrt(32))))**2. 4480000 Simplify (-3*(sqrt(24) - sqrt(96)*1 - ((sqrt(600) - sqrt(600)*-2) + sqrt(24))))/((1*(sqrt(96)*-1 - sqrt(96)))/(sqrt(48)*-2)). 102*sqrt(3) Simplify 0 + ((0 + sqrt(1900)*-3*-6 + sqrt(1900))**2 - 3*(1 + sqrt(1900) + sqrt(1900) + sqrt(1900))**2*-4). 720*sqrt(19) + 891112 Simplify (2*4*-1*(-3 + -3 + sqrt(1216)*-2 - (4 + -1*sqrt(1216) + sqrt(1216) - sqrt(1216))*6))**2. -122880*sqrt(19) + 1302784 Simplify (1*(sqrt(70)/(sqrt(70)/(sqrt(63)/sqrt(9))) + -1 + sqrt(42)/sqrt(6) + sqrt(7) + 5 + 2))**2. 36*sqrt(7) + 99 Simplify (6*-2*sqrt(490) + sqrt(490) + (sqrt(490)*-1*-2 - sqrt(490)))/(sqrt(216)/(sqrt(12) + sqrt(24)/(2*sqrt(2)) - sqrt(12)))*-1. 35*sqrt(5)/3 Simplify ((0 + 6*((-1*-2*sqrt(104) - sqrt(104))/sqrt(8) - (0 + sqrt(1053) - sqrt(13))*1))*-2)**2. 91728 Simplify ((-6*-1*(3*2*sqrt(500) + 5*sqrt(500) + 1) + -4)*4)**2. 42240*sqrt(5) + 34848064 Simplify -1*((6*(sqrt(1331) + sqrt(1331)*1)*-2)**2 + 4 + -4 + 1 + sqrt(1331))*3. -2299971 - 33*sqrt(11) Simplify (1*(sqrt(1584) - (sqrt(1584) + 2*((sqrt(1584) - (1 + sqrt(1584))) + sqrt(1584)) + sqrt(1584)))*-5 + -5 + -4)**2 + 5. -6840*sqrt(11) + 356766 Simplify (((-4*sqrt(99) + sqrt(99))*-1 - (sqrt(99) + sqrt(99) + -4*sqrt(99)*-1 + sqrt(99)))/((sqrt(756)/(-2*sqrt(12)))/(sqrt(7) + sqrt(63)/(2*sqrt(9)))))**2. 1584 Simplify -1 + (sqrt(36)/sqrt(2))/sqrt(6) + (1*sqrt(6))/sqrt(2) + -1*(4 + sqrt(30)/(sqrt(10) + (sqrt(10) - sqrt(20)/sqrt(2)))). -5 + sqrt(3) Simplify (-5 + ((sqrt(108) - -6*(-1 + sqrt(108)) - sqrt(108)) + -5)*-4 + 5 + 0)*4. -576*sqrt(3) + 176 Simplify ((sqrt(108)/sqrt(3) + sqrt(36))*6)/(6*-2*sqrt(12) + sqrt(12) - sqrt(12)) - (-6*(4 + sqrt(363)*3))**2. -118188 - 9505*sqrt(3) Simplify ((sqrt(36)/(-2*sqrt(4)))/(sqrt(147)*-2) + (sqrt(330)/sqrt(99))/(sqrt(20)/sqrt(32)))**2. 13225/2352 Simplify 4 + -3 + (4 + (sqrt(252) + 2)**2*-5 - 3*(4 + (1*sqrt(112))**2)). -1623 - 120*sqrt(7) Simplify (5*(0 + -6*(-1 + sqrt(684)) + (sqrt(684) - (1 + sqrt(684)))*6)*1*4)**2. 9849600 Simplify (-3*-2*sqrt(208) + (5 + 1 + sqrt(208) + sqrt(208))**2 + -1 - -1*3*(4 + sqrt(208) + (-2*sqrt(208) - sqrt(208))**2))*-2. -12990 - 264*sqrt(13) Simplify ((5*sqrt(120)/sqrt(5) + sqrt(24) + (sqrt(192)*3)/sqrt(8))/(-3*(sqrt(300) - (sqrt(300) + sqrt(300)*3 + sqrt(300)))))**2. 9/200 Simplify ((-4*(4*sqrt(72)*-1 + sqrt(72)))**2 + (4 + sqrt(162)*-3 + 0)**2)*3. -648*sqrt(2) + 35526 Simplify (-5*((sqrt(1900) - -3*sqrt(1900)) + 5)**2 + ((sqrt(1900) + 2 + -4)**2 - (-1 + sqrt(1900)*-2)))*5. -751100 - 10100*sqrt(19) Simplify (-2*4*sqrt(153)*6)/((sqrt(90)/sqrt(5))/sqrt(2) + ((sqrt(225) + sqrt(9))*5 - sqrt(9))) + -2. -8*sqrt(17)/5 - 2 Simplify (2 + (2*sqrt(28) + sqrt(28) + sqrt(28) - (4 + sqrt(7) + 1)) + 0 + (sqrt(7) - 1*sqrt(7)) + (sqrt(7) - (-1*sqrt(700) - sqrt(700))) + 0)**2. -168*sqrt(7) + 5497 Simplify -6*(4 + -2 + (6*5*3*sqrt(68) + 1)**2 + 2). -3304830 - 2160*sqrt(17) Simplify 3 + 5 + ((sqrt(153) - sqrt(153)*3)*-2)/(sqrt(90)/sqrt(640) + sqrt(9)) + 5. 13 + 32*sqrt(17)/9 Simplify ((sqrt(2835) + sqrt(2835)*1)/(-2*sqrt(252) - sqrt(252)) - ((5*sqrt(10)/sqrt(2) + sqrt(5))*2 + -1)) + -2. -13*sqrt(5) - 1 Simplify (5*(3*sqrt(80)*-4)**2 - (sqrt(80) + sqrt(80) + 2*-1*sqrt(80) + sqrt(80) + sqrt(80) + 2))*1 + -2. -8*sqrt(5) + 57596 Simplify ((sqrt(32)/(-2*sqrt(2)*-5))/((-2*sqrt(648) - sqrt(648))*-6) + 0)**2*2. 1/656100 Simplify (-2 + 3*(sqrt(300) + 2) + -3*(-4 + sqrt(300)) + -2 + -4)**2. 100 Simplify ((sqrt(128) + -4*sqrt(128)*2 - (sqrt(128) + -1 + sqrt(128) + -3)) + 5 - (1 + sqrt(128)*-1*4)*6)**2. 720*sqrt(2) + 28809 Simplify ((sqrt(85) - (sqrt(85) + sqrt(85) + (-1*sqrt(85)*4 - sqrt(85))) - -1*sqrt(85)*-1)*-2)/(sqrt(30)/(-1*sqrt(294) - sqrt(6) - sqrt(6))*4). 27*sqrt(17)/2 Simplify (-5*sqrt(13)*5 + sqrt(13) - -4*sqrt(1573)) + (4 + sqrt(52)/(sqrt(4)*-2))*6. 24 + 17*sqrt(13) Simplify (-3*(sqrt(95) + -2*sqrt(95))*2)/((-2*sqrt(500)/sqrt(10))/sqrt(10)). -3*sqrt(19) Simplify 6*-2*sqrt(832)*-5 - -2*3*sqrt(1872)*-3. 264*sqrt(13) Simplify (-4 + 3 + sqrt(117) + sqrt(13) + (sqrt(1872) - (sqrt(1872) + 0))*-2 - ((1*sqrt(637) - sqrt(637)) + 1 - -2*-1*sqrt(637))*3)**2. -368*sqrt(13) + 27524 Simplify (-6*sqrt(48)/sqrt(4))/(4*sqrt(36)) + (0 + sqrt(27)/(sqrt(9)*-2) + -3)**2. 5*sqrt(3)/2 + 39/4 Simplify ((5*1*sqrt(209) - sqrt(209)) + (sqrt(209) + (sqrt(209) - 5*sqrt(209)))*5)/((-2*sqrt(121)*1 + sqrt(121))/((sqrt(22)*1)/sqrt(2) + sqrt(11))). 22*sqrt(19) Simplify (sqrt(240)/sqrt(6)*4)/(sqrt(288) + 1*sqrt(288)) + (sqrt(120)/(sqrt(144) + sqrt(4)))/(sqrt(384)*2). 115*sqrt(5)/336 Simplify (3*(-2*sqrt(96))/sqrt(8)*2)/((sqrt(48)/sqrt(24))/(sqrt(180)/sqrt(10) + sqrt(2))). -96*sqrt(3) Simplify 3*(-6*(sqrt(153) + (4*(sqrt(153)*1 - sqrt(153)))**2) + (3 + sqrt(153)*-2 + sqrt(153) + 4)**2)*-3*-3. -1620*sqrt(17) + 5454 Simplify ((sqrt(24)*1)/sqrt(3) + 5)**2 + ((sqrt(686)*-1 + sqrt(14))/(sqrt(700)*-2))**2. 20*sqrt(2) + 1659/50 Simplify (sqrt(200) - -5*(sqrt(200) + -1)) + (sqrt(200) - -2*-3*sqrt(200) - sqrt(200)) - (6*1*sqrt(200) - (sqrt(200) + -3 + 0)). -50*sqrt(2) - 8 Simplify 3 + (-2*sqrt(75))**2 + -5 + 1 - (2*1*1*sqrt(75))**2*2. -301 Simplify (-5*((sqrt(1700) + -2 + 5 - sqrt(1700)) + 5*(0 + sqrt(1700)))*3)**2*-1. -9564525 - 67500*sqrt(17) Simplify ((sqrt(136)*1*-5)/(sqrt(18)*2*-2)*-6)**2. 425 Simplify -3*(-4 + (3*(sqrt(242) + 1) + sqrt(242) + sqrt(242)*-2 + sqrt(242) + 4)**2 + (-4 + sqrt(242) + 4*sqrt(242) - sqrt(242)) + -2). -6651 - 1518*sqrt(2) Simplify (6*(sqrt(1216) + 2 + (sqrt(1216) - (-2 + sqrt(1216)) - sqrt(1216))) + (sqrt(1539)*3 - sqrt(19) - (sqrt(19) + sqrt(133)/sqrt(7) + 2)) + -1)**2. 1008*sqrt(19) + 11385 Simplify (-4*1*4*sqrt(114))/(-6*sqrt(294)*-1). -8*sqrt(19)/21 Simplify (6*sqrt(480)*-2*-1)/((sqrt(54) - sqrt(216)/sqrt(4)*-6)*5). 16*sqrt(5)/35 Simplify 5 + -3 + (-6*(-6*(-1 + sqrt(5)) + -3) - ((sqrt(40) - sqrt(80)/sqrt(2))/sqrt(8) + (-1 + sqrt(20))**2)). -37 + 40*sqrt(5) Simplify (sqrt(24)*3*2 + -3*sqrt(144)/sqrt(6))/((-2*sqrt(200)*3 + sqrt(200))*1). -3*sqrt(3)/25 Simplify (5*(sqrt(4719) + 1*sqrt(4719) - (sqrt(429)*-1)/sqrt(11)))/(sqrt(192)/((-3*sqrt(4) - sqrt(4) - sqrt(4))*-6)). 1725*sqrt(13)/2 Simplify -3 + (sqrt(1800) - (-4*sqrt(1800)*-1 + sqrt(1800)))/((sqrt(9) - (sqrt(900) + 4*sqrt(900) - sqrt(900)))*-5). -3 - 8*sqrt(2)/39 Simplify -6*((sqrt(684)*-3 - sqrt(684))**2 - sqrt(684)) + (1 + -1 + sqrt(684))**2 - (3*(sqrt(684) + -1*sqrt(68
{ "pile_set_name": "DM Mathematics" }
*2. i**3 Collect the terms in 1771*w - 2788*w + 1712*w. 695*w Collect the terms in 695193 - 9*j - 695193. -9*j Collect the terms in 169*k**2 + 185*k**2 - 909*k**2 + 187*k**2 + 183*k**2 + 187*k**2. 2*k**2 Collect the terms in 26*n**2 + 38*n**2 - 115*n**2 + 31*n**2. -20*n**2 Collect the terms in 23310*a**3 + 0 - 23311*a**3 + 0 - 664*a. -a**3 - 664*a Collect the terms in 16 - 28 + 12 + 10796*l - 10827*l. -31*l Collect the terms in 4*s**2 + 3 - 1 - 14*s**2 + 9*s**2 - 13. -s**2 - 11 Collect the terms in 170*o + 51*o - o + 2. 220*o + 2 Collect the terms in 18*z + 18*z + 1 - 67*z + 18*z - 10. -13*z - 9 Collect the terms in -3*o + 3*o + 907*o**3 + 1 + 1. 907*o**3 + 2 Collect the terms in 22905*h**3 - 11488*h**3 - 11447*h**3. -30*h**3 Collect the terms in 220704*l**3 - 441415*l**3 + 220706*l**3. -5*l**3 Collect the terms in 358 - 83*i - 82*i + 264*i + i**2 - 99*i. i**2 + 358 Collect the terms in 21*t + 130*t + 20*t + 29*t. 200*t Collect the terms in -2 + 228381*d**2 - 228381*d**2 - 31*d**3. -31*d**3 - 2 Collect the terms in -1297*w**2 + 762*w**2 - 1475*w**2. -2010*w**2 Collect the terms in 232*z**3 + 141*z**3 - 28*z**3. 345*z**3 Collect the terms in -168*m**3 + 381*m**3 - 419*m**3. -206*m**3 Collect the terms in -87*o**2 + 69*o**2 + 75*o**2. 57*o**2 Collect the terms in 67*j**2 - 235*j**2 + 1486*j**2. 1318*j**2 Collect the terms in 2651547*n - 2651547*n - 22*n**2. -22*n**2 Collect the terms in -31095*m + 7270*m - 27247*m. -51072*m Collect the terms in -91323*v**3 + v**2 + 45678*v**3 - v**2 + 45649*v**3. 4*v**3 Collect the terms in 8*l**3 - 6*l**3 + 11564*l**2 - 20054*l**2 - 39642*l**2. 2*l**3 - 48132*l**2 Collect the terms in 29*q + 211*q - 23*q + 90*q. 307*q Collect the terms in 1 - 1 + 1044*t - 223*t. 821*t Collect the terms in -5*s - 32 - 11*s + 20*s - s. 3*s - 32 Collect the terms in 465*k**2 - 238*k**2 - 227*k**2 + 3*k**3. 3*k**3 Collect the terms in -311*z**3 + 54*z**3 + 196*z**3 + 58*z**3. -3*z**3 Collect the terms in 1 + 1402*z - 778*z - 772*z. -148*z + 1 Collect the terms in -3648*y**3 + 7309*y**3 - 3665*y**3. -4*y**3 Collect the terms in -16*i**2 + 2 + 4*i + 231*i**2 - 23*i**2 - 1. 192*i**2 + 4*i + 1 Collect the terms in 6361252859*f - f**3 - 6361252859*f. -f**3 Collect the terms in 125*d**2 - 2 + 642*d**2 + 257*d**2. 1024*d**2 - 2 Collect the terms in -451566869*u + 3*u**3 + 451566869*u. 3*u**3 Collect the terms in -8932*z + 4491*z + 4465*z. 24*z Collect the terms in -94 + 304 - 93 - 117 + 4*p. 4*p Collect the terms in -38783*v + 14403*v - 30404*v - 48629*v. -103413*v Collect the terms in -21571*a**3 + 2279*a**3 + 1472*a**3 - 41720*a**3. -59540*a**3 Collect the terms in 909 + 55 + j**2 - 964 - 7*j**2 + 8*j**2. 2*j**2 Collect the terms in -99 + 50 + 49 + 1451*k**2. 1451*k**2 Collect the terms in -6*a**2 + 3*a**2 + 162 - 98 - 3*a**2 + 7*a**2. a**2 + 64 Collect the terms in -2*k**2 + 2*k - 3*k - 2*k + 3*k. -2*k**2 Collect the terms in 14*r**3 - 2*r**2 - 116*r**3 - 189*r**3. -291*r**3 - 2*r**2 Collect the terms in -18*b - 1 + 5 - 72*b - 4 + 131*b. 41*b Collect the terms in -45*v + 32545 - 32545. -45*v Collect the terms in 5*v**2 + v**2 - 333*v - 2*v**2 - 3*v**2 - 2*v**2. -v**2 - 333*v Collect the terms in 17*n - 2228*n**2 + 2228*n**2 - 73*n**3. -73*n**3 + 17*n Collect the terms in -13*d**2 + 13*d**2 + 785*d**3 - 17*d**3. 768*d**3 Collect the terms in 38978*p - 38978*p - 2*p**2. -2*p**2 Collect the terms in u**2 + 166*u - 250*u - 220*u + 134*u - 955*u. u**2 - 1125*u Collect the terms in 9402142 + 9402146 - 18804288 + 13*q**3. 13*q**3 Collect the terms in 31 + 13*w - 57 - 16*w + 26. -3*w Collect the terms in -12*b**3 + 20*b**3 - 48*b**3 - 30*b**3 - 22*b**3. -92*b**3 Collect the terms in 8*g**2 - 920*g - 7*g**2 + 45*g - 37*g. g**2 - 912*g Collect the terms in 11282*q**3 - 1322*q**3 + 2*q - 934*q**3 + 3858*q**3. 12884*q**3 + 2*q Collect the terms in 417 - 7*h + 415 - 833. -7*h - 1 Collect the terms in 101 - 56 - 51 + 6 - 2*m. -2*m Collect the terms in -130*c**2 - 755 + 68*c**2 + 65*c**2. 3*c**2 - 755 Collect the terms in 9*o + 7*o - 12*o - 19*o - 10*o. -25*o Collect the terms in 573*r**3 + 574*r**3 - 2285*r**3 + 573*r**3 + 570*r**3. 5*r**3 Collect the terms in 288*c**2 + 246*c**2 - 534*c**2 - 2*c**3. -2*c**3 Collect the terms in -88*n**2 + 20*n**2 + 225*n**2. 157*n**2 Collect the terms in -419*h**2 - 4*h**3 + 3*h**3 - 140*h**2 - 47*h**2. -h**3 - 606*h**2 Collect the terms in 2*x**2 - 59727215*x + 3 + 59727215*x - 3. 2*x**2 Collect the terms in -2 - 4 + 13*l + 7 + 4. 13*l + 5 Collect the terms in 1495*q + 3660*q - 846*q. 4309*q Collect the terms in -17*h**2 + 17*h**2 - 32*h**3 - 31001*h + 31001*h. -32*h**3 Collect the terms in 498 - 28 - 470 + 4*a**2. 4*a**2 Collect the terms in 10*w + 2335719 - 10*w - 2335719 - 7*w**2. -7*w**2 Collect the terms in -34 - 121 + 28*q + 155. 28*q Collect the terms in -8*n**2 - 33*n**2 + 7*n**2 - 3*n**2. -37*n**2 Collect the terms in 26*x**2 - 37*x**2 - 41 - 55*x**2. -66*x**2 - 41 Collect the terms in 963 + 2699*q**3 - 963. 2699*q**3 Collect the terms in -6*g - 7*g - 5*g + 18*g + 2*g. 2*g Collect the terms in 1 - 1281*u**2 - 3 + 2. -1281*u**2 Collect the terms in -3*j - 8*j + 3*j - 15*j + j. -22*j Collect the terms in -3473*s**3 + 2317*s**3 - 3004*s**3. -4160*s**3 Collect the terms in 1017588572*t - 1017588572*t - 85*t**3. -85*t**3 Collect the terms in -4*z**2 + 6*z**2 + 2*z**2 + 2*z**2 + 8*z**2 - 6*z**2. 8*z**2 Collect the terms in -3*o + 430 + 0*o + 4*o - 448. o - 18 Collect the terms in -254404 + 7*f**3 - 2*f**3 + 254404. 5*f**3 Collect the terms in -35*m + 26*m - 9 + 29. -9*m + 20 Collect the terms in -1271*u**3 + 303*u**3 - 533*u**3. -1501*u**3 Collect the terms in -7 + 3*r**3 + 401888*r**2 - 401888*r**2. 3*r**3 - 7 Collect the terms in 1 + 6 - 8*b - 14*b. -22*b + 7 Collect the terms in 47*n**2 - 4*n + 107*n**2 - 26*n**2 + 3*n + 13*n**2. 141*n**2 - n Collect the terms in 22*r - 37*r + 15*r + 7*r**2. 7*r**2 Collect the terms in -15*l**3 - 65 - 5*l + l + 2*l. -15*l**3 - 2*l - 65 Collect the terms in 3*z**3 + 12 - z**3 - 11*z**3 - 12. -9*z**3 Collect the terms in 63*p**3 + 83*p**3 + 55*p**3 - 184*p**3. 17*p**3 Collect the terms in -12*t**3 + 336255*t**2 - 336255*t**2 + 11*t**3. -t**3 Collect the terms in -255*x**2 + 529*x**2 - 263*x**2. 11*x**2 Collect the terms in -252*j + 13 - 2*j**2 + 256*j - 115. -2*j**2 + 4*j - 102 Collect the terms in 4563 + 1287*t**2 - 4563. 1287*t**2 Collect the terms in -172*q - 447*q + 172*q. -447*q Collect the terms in 0 + 17154*i - 1 - 17157*i + 1. -3*i Collect the terms in 0 + 14*o**2 + 11*o**2 - 5 - 62*o**3 + 4. -62*o**3 + 25*o**2 - 1 Collect the terms in -208*c - 134*c - 143*c - 219*c. -704*c Collect the terms in -3 + w + 6 - 11*w + w + 0. -9*w + 3 Collect the terms in -335*w**3 - w**2 + w**2 - 532*w**3. -867*w**3 Collect the terms in 4 + 4 - 2 + 0 + 29*p - 30*p. -p + 6 Collect the terms in 38*i**2 - 47*i**2 + 43*i**2. 34*i**2 Collect the terms in 24*a**2 + 66 - 53 - 5*a**2. 19*a**2 + 13 Collect the terms in 4826*c**2 + 4 - 2409*c**2 - 4 - 2409*c**2. 8*c**2 Collect the terms in -14*r + 0 + 3 - 3 - 41*r**2. -41*r**2 - 14*r Collect the terms in -319*n - 311*n + 947*n - 321*n. -4*n Collect the terms in -6*l**2 + 5017*l - 5017*l. -6*l**2 Collect the terms in 32*w**2 - 140*w**2 - 233*w**2. -341*w**2 Collect the terms in 1988*b**3 - 1050*b**3 - 942*b**3. -4*b**3 Collect the terms in -2 - 960*i**3 + 917*i**3 + 2. -43*i**3 Collect the terms in 2*g**3 + 14 - 19 - 10 + 0*g**3 + 14. 2*g**3 - 1 Collect the terms in 18321 + 18322 - 12*l**2 - 36643. -12*l**2 Collect the terms in 1023*k**2 - 440*k**2 - 290*k**2 - 289*k**2. 4*k**2 Collect the terms in -7*k - 5*k + 12*k - 42*k**2. -42*k**2 Collect the terms in 90533*o**2 - 25*o + 25*o. 90533*o**2 Collect the terms in -4*m - 10*m - 5*m + 2325 + 17*m. -2*m + 2325 Collect the terms in 30*y - 65*y - y**3 + 18*y + 35*y**3 + 17*y. 34*y**3 Collect the terms in -2*x**2 + 108*x + 5*x**2 - 102*x - 102*x + 96*x. 3*x**2 Collect the terms in -6157*a - 3 + 3. -6157*a Collect the terms in 19*o - o - o - 5*o - 3*o. 9*o Collect the terms in x - 2843 + 2843 - 18*x. -17*x Collect the terms in -189*b - 219*b + 382*b. -26*b Collect the terms in -3*t**3 + 410*t**2 + 9*t + 552*t**2 - 962*t**2. -3*t**3 + 9*t Collect the terms in -224*y**2 - 82*y + 259*y**2 + 84*y. 35*y**2
{ "pile_set_name": "DM Mathematics" }
ded by 660? 293 Calculate the remainder when 39634 is divided by 1909. 1454 Calculate the remainder when 1678729 is divided by 11822. 5 Calculate the remainder when 307200 is divided by 6400. 0 What is the remainder when 3967168 is divided by 2481? 49 What is the remainder when 97453 is divided by 1992? 1837 Calculate the remainder when 451896 is divided by 1357. 15 What is the remainder when 7042558 is divided by 71? 68 Calculate the remainder when 173505 is divided by 80789. 11927 What is the remainder when 1187682 is divided by 1682? 190 Calculate the remainder when 11774545 is divided by 333. 331 What is the remainder when 15642 is divided by 83? 38 Calculate the remainder when 34082 is divided by 33010. 1072 Calculate the remainder when 703111 is divided by 703099. 12 Calculate the remainder when 938180 is divided by 3270. 2960 What is the remainder when 5952035 is divided by 12637? 8 What is the remainder when 91766 is divided by 380? 186 Calculate the remainder when 22786911 is divided by 786. 771 What is the remainder when 64975512 is divided by 519804? 12 What is the remainder when 2000909 is divided by 95281? 8 What is the remainder when 7804586 is divided by 278734? 34 Calculate the remainder when 919067 is divided by 746. 741 What is the remainder when 230893 is divided by 115168? 557 Calculate the remainder when 145496 is divided by 84. 8 Calculate the remainder when 2464613 is divided by 5953. 71 What is the remainder when 4688385 is divided by 520914? 159 What is the remainder when 19725380 is divided by 3797? 3762 What is the remainder when 162480 is divided by 40547? 292 Calculate the remainder when 160658 is divided by 835. 338 Calculate the remainder when 172268 is divided by 14268. 1052 Calculate the remainder when 381895 is divided by 13222. 11679 What is the remainder when 51643775 is divided by 40? 15 Calculate the remainder when 10829061 is divided by 166. 51 Calculate the remainder when 193359 is divided by 3644. 227 What is the remainder when 102389 is divided by 788? 737 Calculate the remainder when 1383877 is divided by 5839. 34 Calculate the remainder when 83633 is divided by 13584. 2129 Calculate the remainder when 7667097 is divided by 63. 60 Calculate the remainder when 9836017 is divided by 756614. 35 Calculate the remainder when 3300422 is divided by 19763. 1 What is the remainder when 574691 is divided by 19814? 85 Calculate the remainder when 389667 is divided by 545. 537 What is the remainder when 12082128 is divided by 1729? 1605 Calculate the remainder when 18714471 is divided by 22. 17 Calculate the remainder when 382227 is divided by 63675. 177 What is the remainder when 765960 is divided by 75? 60 What is the remainder when 4500006 is divided by 2478? 2436 Calculate the remainder when 1324251 is divided by 50. 1 Calculate the remainder when 75626511 is divided by 155. 151 Calculate the remainder when 598796 is divided by 133. 30 Calculate the remainder when 24654 is divided by 1743. 252 Calculate the remainder when 142766 is divided by 7120. 366 Calculate the remainder when 5178215 is divided by 71919. 47 Calculate the remainder when 3801170 is divided by 94. 92 Calculate the remainder when 3253617 is divided by 27573. 3 Calculate the remainder when 268946265 is divided by 276. 273 What is the remainder when 107895863 is divided by 992? 983 Calculate the remainder when 1549443 is divided by 972. 75 What is the remainder when 830798983 is divided by 115? 113 What is the remainder when 83286 is divided by 2985? 2691 What is the remainder when 1871279 is divided by 113? 112 What is the remainder when 31500077 is divided by 36? 5 What is the remainder when 7256 is divided by 2399? 59 What is the remainder when 70260650 is divided by 446? 40 Calculate the remainder when 5137649 is divided by 42. 41 Calculate the remainder when 39911794 is divided by 1596471. 19 Calculate the remainder when 173405 is divided by 6589. 2091 Calculate the remainder when 5145922 is divided by 643223. 138 Calculate the remainder when 24854 is divided by 12039. 776 Calculate the remainder when 745956 is divided by 43874. 98 Calculate the remainder when 933334 is divided by 3286. 110 Calculate the remainder when 136968 is divided by 232. 88 What is the remainder when 2937389 is divided by 145? 124 Calculate the remainder when 234734 is divided by 978. 14 Calculate the remainder when 13621 is divided by 2616. 541 What is the remainder when 700392 is divided by 700378? 14 What is the remainder when 76485 is divided by 19103? 73 What is the remainder when 524104 is divided by 12520? 10784 What is the remainder when 4165309 is divided by 1588? 1573 Calculate the remainder when 1412 is divided by 477. 458 Calculate the remainder when 12979792 is divided by 1187. 1134 Calculate the remainder when 20699860 is divided by 13. 12 What is the remainder when 75461 is divided by 25043? 332 What is the remainder when 820477 is divided by 820279? 198 What is the remainder when 609754 is divided by 21776? 26 Calculate the remainder when 1204347 is divided by 178. 177 What is the remainder when 3475266 is divided by 31307? 189 What is the remainder when 257141914 is divided by 438? 436 Calculate the remainder when 452322 is divided by 7214. 5054 Calculate the remainder when 9132441 is divided by 1634. 15 What is the remainder when 894478 is divided by 2506? 2342 What is the remainder when 589298 is divided by 23? 15 Calculate the remainder when 80992 is divided by 1324. 228 Calculate the remainder when 18747885 is divided by 60477. 15 Calculate the remainder when 168836666 is divided by 84418332. 2 Calculate the remainder when 26012245 is divided by 29968. 21 What is the remainder when 450158 is divided by 245? 93 What is the remainder when 4603045 is divided by 965? 960 Calculate the remainder when 80858989 is divided by 1424. 1421 Calculate the remainder when 147142 is divided by 49002. 136 What is the remainder when 324021 is divided by 159531? 4959 Calculate the remainder when 25011566 is divided by 122. 102 What is the remainder when 2928468463 is divided by 8038? 8037 Calculate the remainder when 6219970 is divided by 1201. 1192 Calculate the remainder when 117866053 is divided by 3683314. 5 Calculate the remainder when 23671713 is divided by 58. 57 What is the remainder when 205428 is divided by 874? 38 What is the remainder when 5827056 is divided by 84? 60 What is the remainder when 126872 is divided by 15764? 760 Calculate the remainder when 342691 is divided by 354. 19 What is the remainder when 454298 is divided by 94? 90 What is the remainder when 42632391 is divided by 10909? 19 What is the remainder when 100952 is divided by 655? 82 What is the remainder when 208223 is divided by 741? 2 Calculate the remainder when 150317 is divided by 10021. 2 Calculate the remainder when 347272271 is divided by 115757419. 14 What is the remainder when 167740471 is divided by 92572? 7 What is the remainder when 2133301 is divided by 46? 5 Calculate the remainder when 113896 is divided by 10143. 2323 Calculate the remainder when 10564586 is divided by 213. 212 What is the remainder when 636150 is divided by 318007? 136 What is the remainder when 1469006 is divided by 298? 164 Calculate the remainder when 1203799 is divided by 868. 751 Calculate the remainder when 12108103 is divided by 172. 163 Calculate the remainder when 199223 is divided by 1. 0 What is the remainder when 1075990943 is divided by 29? 28 Calculate the remainder when 603239 is divided by 291. 287 Calculate the remainder when 259300 is divided by 1056. 580 What is the remainder when 1416511 is divided by 208? 31 What is the remainder when 145642 is divided by 68573? 8496 Calculate the remainder when 215320 is divided by 215045. 275 What is the remainder when 5947038 is divided by 7? 6 What is the remainder when 1599816 is divided by 190? 16 What is the remainder when 95797 is divided by 332? 181 Calculate the remainder when 273573 is divided by 2532. 117 Calculate the remainder when 23625 is divided by 1235. 160 What is the remainder when 922614 is divided by 6833? 159 Calculate the remainder when 634839 is divided by 6157. 668 What is the remainder when 3868442 is divided by 49
{ "pile_set_name": "DM Mathematics" }
(-2 + 8)/2. What is x(q)? 3 Suppose 3*o + 5*n - 158 = 0, -32*o - 4*n = -33*o + 13. Let g(b) = -b**2 + 41*b + 3. Give g(o). 3 Let z(x) = 4*x + 11*x - 3*x + 11*x**2 + 7 - x**3 + 0*x. Suppose -48 + 12 = -3*h. What is z(h)? 7 Let r(k) = -2*k + 5. Suppose 0*i + 9*i + 99 = 0. Let p = -9 - i. Suppose w = -t + 6*t + 22, -5*w - p = 3*t. What is r(t)? 13 Let r(q) = 0*q - 2*q + 57 + 58 - 106. Give r(3). 3 Let o(u) = -2*u**2 + 9*u. Let d(p) = -11*p**2 + 44*p + 5. Let i(m) = -d(m) + 5*o(m). Suppose -2*l = j + 3 - 16, 4*j + 4*l = 36. Give i(j). 25 Let d = -3514 + 3506. Let l(y) = 3*y - 3. What is l(d)? -27 Let y(s) = 5 - 125*s - 121*s - 125*s + 372*s - 2. Suppose -2*t + d - 2 = -18, 0 = -4*t - 3*d + 32. Give y(t). 11 Let b(x) = -x**2 + x - 1. Let d(a) = -2*a**2 - 10*a + 15. Let t(r) = -b(r) + d(r). Let j(w) = 6*w + 37. Let c be j(-8). Give t(c). 16 Suppose 13 = -6*c + 7. Let b(q) = q**2 + 3*q - 5. Let f(m) = m - 1. Suppose 5*l = -3*l + 8. Let x(p) = c*b(p) + l*f(p). Give x(-3). 1 Let c(f) = -3*f - 5. Let a = 250 + -156. Suppose a = 10*s + 54. Determine c(s). -17 Let n(i) = -i**2 + 2*i + 2. Let f be 10/(-15) + 1/(-3). Let v be f + (3 - -1) + -1. Let s = 6 - v. What is n(s)? -6 Let k(h) = 34 + 6*h**3 - 295*h + 3*h**3 + 38*h**2 - 10*h**3 + 333*h. What is k(39)? -5 Suppose -5*d + 3*i - 10 = 4, -3*d - 2*i - 16 = 0. Let z be (1 + (-1)/d)/((-5)/20). Let r(w) = -w**3 - 6*w**2 - 8*w - 6. Determine r(z). 9 Let o(j) = 15*j - 9. Let s be (-2312)/8092*2*(-8 - -1). Determine o(s). 51 Let r(j) be the second derivative of -j**4/12 - j**3/6 - j**2/2 + 12993*j. Let v(u) = -u**2 - 1. Let p be v(1). Determine r(p). -3 Let w(k) be the second derivative of 7/2*k**2 + 1/20*k**5 + 5 - 4/3*k**3 - 3*k - 1/2*k**4. Determine w(7). 0 Let t = 17 - -2. Let z be 1 + 1 + t/(-19). Let j(k) = -6*k - 3. Let y(c) = -2*c - 1. Let g(f) = -2*j(f) + 7*y(f). Calculate g(z). -3 Let p(k) be the second derivative of 19*k**3/3 - 263*k**2 + 259*k + 2. Give p(14). 6 Let t be -16 - 1339/(-78) - (-1)/(-6). Let y(r) = -3*r**2 - 2*r + 1. What is y(t)? -4 Let o(x) = x**2 - 4*x + 1. Let p(f) = -f**3 - 7*f**2 - 6*f + 5. Let d be p(-6). Let h be o(d). Let r(j) = -j + h*j - 6*j. Give r(-6). 6 Let u(h) = h**3 + 7*h**2 - 7. Let l be 0*1/(-4) - 49. Let p = l - -42. What is u(p)? -7 Let u = 266 - 257. Suppose 3*r = 3*p + u, 5*p - r + 3*r - 6 = 0. Let a(i) = -i**2 + i - 38. What is a(p)? -38 Let f(t) = t**2 - 4*t - 8. Let d(h) = -1. Let l(n) = -6*d(n) - f(n). Suppose -99*s - 77 = -110*s. Calculate l(s). -7 Let t(k) = -k**2 + 12*k - 10. Let b be (18/(-60))/((-9)/450). Give t(b). -55 Let g(p) be the first derivative of -p**4/4 + 4*p**3/3 - p**2 + 2*p - 145. Suppose 0 = -2*z + 3*z - 2. What is g(z)? 6 Let q(g) = 9*g**3 + g + 1. Let p(f) = 5*f - 96. Suppose 21*o = 24*o - 57. Let z be p(o). Give q(z). -9 Let h(n) = 5*n**3 + 15*n**2 + 11*n + 5. Let i be h(-2). Let r(s) = -2*s**2 + 8*s - 1. What is r(i)? 5 Let a(t) be the first derivative of 2*t**3/3 - 7*t**2 - 14*t - 30. Let y be a(8). Let q(g) = -9 + 4 + 3 - g**3 + 4*g**y + 5*g. What is q(5)? -2 Let y(f) = -2*f + 8. Let c(q) be the second derivative of 5*q**3/6 - 23*q**2/2 - 4*q - 17. Let i(w) = -3*c(w) - 8*y(w). Give i(5). 10 Let k(x) = 5*x**2 - 8*x - 2*x**2 - 2*x**2 + 0*x. Let w be (-80 + -2)*-1*4. Let s be w/40 - (-1)/(-5). Determine k(s). 0 Suppose 0 = 3*s, 0 = -4*k + 2*k + 2*s - 6. Let v(a) = -88*a**2 - 89*a**2 + 19 + 178*a**2 - 22. What is v(k)? 6 Let o(a) = -3*a - 31. Suppose 31*l - 32*l = x + 16, 0 = 5*l - 4*x + 44. What is o(l)? 5 Suppose 4*r - 49 = -c, 3*r = 4*c - 2*c + 45. Let j be -14 + r - (4 + 1). Let x(k) = -k - 4. Give x(j). 2 Suppose -216 = -4*d - 32. Let y(h) = 47*h + 0 - 6 - 7*h**2 - d*h - h**3 - 2. Calculate y(-7). -15 Let g be ((-2)/(-2))/(36/108). Let p(v) be the third derivative of 0 + 0*v + 0*v**3 + 1/3*v**4 - 8*v**2. Calculate p(g). 24 Let b = 317 + -314. Let n(r) = 2*r**b - r**3 + 74*r**2 - 40*r**2 - 6 - 38*r**2 - 10*r. Calculate n(6). 6 Let q(z) be the first derivative of -7*z**2/2 - 4*z - 6. Suppose -2*r + 6 = -2*a, -14*a + 7 = -19*a - 3*r. What is q(a)? 10 Let b = 168 + -160. Let m(p) = -5*p - b*p - 6*p + 16*p. Determine m(3). -9 Let r(f) = -f**3 - 8*f**2 + 7*f - 12. Let b be (-35)/((-175)/(-60))*(-10)/(-3). Suppose -2*u = -3*l + 56, u + 0*u = 4*l - 23. Let c = b - u. Determine r(c). 6 Let k(s) = s**3 + 7*s**2 + 7*s + 7. Let r be 6 - (-28 - 2) - 2. Let w = -40 + r. Determine k(w). 1 Suppose 4*t = 36*n - 39*n - 31, 0 = -t - 4. Let l(d) = -d**2 - 3*d + 12. What is l(n)? 2 Let i(z) = z**3 + 3*z**2 + 30. Let d be 84/24*(2/5 + (-540)/350). What is i(d)? 14 Let c(m) = -6*m + 161. Let o be 2/11 - (-18176)/704. Calculate c(o). 5 Let a = 3 + -2. Suppose 0 = 3*z + 2*m + a, 2*z + 3*z - 1 = -2*m. Let v be z/4 + 10/(-40). Let w(h) = -h + 7. What is w(v)? 7 Let j(d) be the second derivative of -d**6/180 + d**5/60 - 29*d**4/4 - 3*d - 7. Let f(n) be the third derivative of j(n). Give f(2). -6 Let a(t) = 2*t - 75 + 37 + 25 - 3*t. What is a(-7)? -6 Let n(c) be the first derivative of -19 - 6127*c + 2*c**2 - 4 + 6131*c. Calculate n(-3). -8 Let k(z) be the first derivative of z**4/2 + 7*z**3/3 - z**2 + 9*z + 5355. Determine k(-4). 1 Let j(b) = -b**2 - 3*b + 38. Let v(n) = -n**2 - 49*n - 214. Let q be v(-5). Calculate j(q). -16 Let v(q) = 6*q**3 - 12*q**2 - 22*q + 6. Suppose 357 = -3*l + 372. Let w(k) = 4*k**3 - 8*k**2 - 14*k + 4. Let x(z) = l*v(z) - 8*w(z). What is x(-2)? 26 Let x(o) = 10*o - 12. Let h(n) = 2*n - 1. Suppose -18*g + 15*g - 3 = 0. Let s(t) = g*x(t) + 6*h(t). Give s(-4). -2 Let y(w) = -3*w + 21*w + 713 + 13*w + 16*w - 21*w. What is y(-27)? 11 Let z(b) = -94*b - 15. Let p be z(0). Let g(v) = v**2 + 12*v - 72. Calculate g(p). -27 Let x be ((-2)/2)/((-2)/4). Suppose a - 3*d - 4 = -x*d, -d - 2 = 0. Let o(m) = -7*m - 2*m - 90 + 81 + m**3 + 5*m**a. Calculate o(-6). 9 Let f(p) = -180 - 15*p - 518 + 21 + 59. What is f(-41)? -3 Let x(z) = -21*z - 4 - 2 - 2 + 0. Let o be x(-4). Let v be o/12 + 3/(-9). Let t(a) = a - 8. What is t(v)? -2 Let n(d) = -16*d + 1. Let m(v) = 45*v - 3. Suppose -90*u = -106*u + 176. Let q(h) = u*n(h) + 4*m(h). Give q(-2). -9 Suppose 90*j + 204 = -14*j + 2*j. Let s(w) = 4*w**2 + 2. Give s(j). 18 Let b(u) = u + 18. Suppose 0 = 13*r - 1547 - 3328. Let a = r + -382. Determine b(a). 11 Let p(k) = 34*k**2 - 34 + 21 - 2*k + 22 + 22 - 33. Give p(-1). 34 Suppose 2*b - t = -0*b + 14, 4*t = -32. Let d(h) be the first derivative of -11/3*h**b + 22 - 11/2*h**2 - 11*h + 1/4*h**4. Determine d(12). 1 Let f(j) = 22*j - 24. Let n be ((-200)/30)/(4/((-24)/5)). Calculate f(n). 152 Let l(n) = -n**2 + 6*n + 1. Let u(w) = w**3 - 4*w**2 + 3. Let x be u(4). Let q(i) = -i**3 + 2*i**2 + i. Let b be q(x). Let g be (-166)/(-34) - b/51. Give l(g). 6 Let m(n) = -2*n - 31. Let s(k) = -16*k + 976. Let v(w) = 12*m(w) + s(w). Calculate v(15). 4 Let g be 6 + -3 + (-9)/(-3). Let x(u) = 15*u - 29. Let y(n) = -8*n + 15. Let k(a) = g*x(a) + 11*y(a). Suppose 6*r = -24 + 66. Calculate k(r). 5 Let z(s) = -6*s - 1. Let k be z(-1). Suppose 0 = 4*y + k*f + 179, -48 = 2*y - 2*f + 46. Let a = y + 43. Let l(i) = -i**3 - 4*i**2 - 3*i. Give l(a). 0 Let w(b) = 12*b + 1. Let x(d) = -2 - 38*d + 1 + 25*d. Let k(l) = -6*w(l) - 5*x(l). Let h(a) = -15*a - 2. Let v(s) = 6*h(s) - 13*k(s). Give v(-1). 0 Suppose 7*z + 43 = -748. Let b = -120 - z. Let c(l) = 3*l**2 + 27*l + 27. Let k(p) = p**2 + 9*p + 9. Let x(a) = -2*c(a) + 7*k(a). Calculate x(b). -5 Let h = -78 - -81. Let o(f) = f**2 - 4*f - 5. Let k be o(5). Let z(m) = -3*m - 11*m - 4 + 19*m + k. Give z(h). 11 Let i(n) = n**3 - n**2 + 1. Suppose 187 = 5*k - 4*r, -5*k + 2*r = -132 - 49. Let a be (-4 - -1)*2*(-44)/(-8). Let b = a + k. Determine i(b). 5 Suppose 29*i + 70 = 592. Suppose 51*l - i = 48*l. Let d(w) = -2*w + 3. Calculate d(l). -9 Let o(d) = -7*d**2 + 2*d - 2. Suppose 0 = 25*t - 17*t - 32. Suppose -t*p - 20 = -28. Determine o(p). -26 Let a(u) = -7*u + 5. Let t(y) = 15*y + 212. Let g be t(-14). Suppose 0 = -6*x + 9*x + d - 3, -16 = -5*x + g*d. Calculate a(x). -9 Suppose g = 3*g + 6. Let u be (12/(-18))/(1/g). Let a(z) = 7 - 7*z - 1 - 9*z**u + 6*z**2 + 4*z**2. Determine a(4). -6 Suppose 22 = 1080*u - 1069*u. Let c(d) = d**3 - 4*d**2 + 11*d - 6. Let x be c(u). Let t(f) = f**2 - 4*f + 2. Determine t(x). 34 Let o(z) be the first deriva
{ "pile_set_name": "DM Mathematics" }
(2 - 1 + 0) as m + o*q and give o. -42 Rearrange 13 + 7 - 15*u**2 - 9 - 1 to the form f*u + r + c*u**2 and give r. 10 Express 0*n**2 - 2*n**3 + 10*n**2 + 387*n - 4*n**2 + 256*n - 1 - 4*n**2 as h*n + t*n**3 + s + m*n**2 and give s. -1 Express (-61*d + 13*d - 2 + 155*d)*(-83 + 83 - 6*d) as u + b*d**2 + n*d and give n. 12 Express 0 + 30*w**4 + w**2 - 19*w**4 + 0*w**2 + 7*w**3 - 2*w - 13*w**4 - 2 in the form q*w**3 + n + g*w**2 + x*w + k*w**4 and give x. -2 Express (-u**3 + u**3 - 2*u**3)*(1 - 2 + 0) + (-4*u + 4*u + 4*u**2)*(2*u + 9*u - 12*u) in the form m*u**3 + z*u**2 + h*u + p and give m. -2 Rearrange -3*m + 0 - 18*m**2 + 28*m**2 - 1 + 10*m**4 + 2*m**3 - 8*m**2 to b*m**4 + y*m**2 + d*m + v*m**3 + w and give w. -1 Rearrange -1 + 149*l**3 + 5*l - 5*l + 68*l**2 - 68*l**2 to the form u*l**3 + f + r*l + m*l**2 and give u. 149 Rearrange (-8843 + 8843 - 106*r**2)*(-3 + 3 + 5*r) to the form h*r**3 + f + w*r + c*r**2 and give c. 0 Express (-203*s**2 + 221*s**2 - 141*s**2 + (3 - 5 + 4)*(-s**2 - 3*s + 3*s))*(1 + 2 - 6) in the form m + v*s + i*s**2 and give i. 375 Rearrange 6*x + 1618 - 3204 + 1662 to z + c*x and give c. 6 Express k**4 + 566*k**2 - 564*k**2 - k + 4*k**4 - 5*k**3 as a*k**3 + n*k**2 + o + l*k**4 + g*k and give l. 5 Express (-2*f**2 + 3*f**2 - 2*f**2)*(f - f**2 - f) + 166*f**3 - 457*f**4 - 88*f**3 - 78*f**3 as v*f**4 + z + a*f**3 + i*f**2 + m*f and give v. -456 Rearrange (-755 - 753 + 2260 - 747 + 445*d)*(2 - 3 - 1) to the form t*d + z and give z. -10 Express -16 - 7*p**2 + 4*p**3 + p**3 - 6*p**2 - 4*p**3 + 22 in the form r*p + u*p**2 + h + v*p**3 and give r. 0 Express (2 - 6 - 4)*(14*n**4 + n**4 - 33*n**4) - 3*n**3 + 3*n**3 - 2*n**4 as a*n**2 + d*n**3 + k + c*n**4 + i*n and give a. 0 Rearrange (3 - 4 - 1)*(891*m - 630*m + 1034*m + (0 + 1 - 2)*(m + 3*m - 2*m)) to i*m + d and give i. -2586 Express 6 + 220*l**2 + 161*l**2 + 371*l**2 - 6 in the form x*l + s*l**2 + p and give s. 752 Rearrange -212*d + 0*d - 36*d - 39*d - 325*d to p + i*d and give i. -612 Express 26*x + 8 - 2 - 6 + (4 + 0 + 11)*(-x + 0*x + 2*x) in the form h*x + l and give l. 0 Rearrange -338 - 243*b**2 + 338 to the form g + d*b**2 + o*b and give d. -243 Express (-1384*i + 398*i - 283*i)*(1 + i - 1) as d*i + y*i**2 + c and give y. -1269 Express (137 - 58 + 91)*(-d**2 + 5*d**2 - d**2) in the form z*d**2 + x + g*d and give z. 510 Express (3*o - 2*o + 0*o)*(3 + 2 - 3)*(3204*o**2 + 3*o**3 - 3204*o**2 - 39*o) as u*o**3 + l + y*o**4 + f*o**2 + c*o and give f. -78 Express -y**3 + 2*y - 2*y + 0*y**3 + 8*y**3 - 2*y**3 + (-2*y - 7*y**3 + 2*y)*(-5 - 3 + 6) - y**3 + 4 - 4 as d*y**3 + c*y + t + x*y**2 and give d. 18 Express -6*p + 1128*p + 878*p + 183*p + 32*p in the form r*p + k and give r. 2215 Express (3 - 3 + 1)*(736 + 191 - 393)*(b**2 - b**2 - 2*b**2) in the form p + d*b**2 + z*b and give d. -1068 Rearrange o - o**4 - 24 - 13*o**4 + 16*o**4 + 0*o + 2*o**2 - o**3 to b + k*o**4 + p*o + s*o**2 + i*o**3 and give k. 2 Rearrange -3654*o + 7246*o - 1 - 3717*o to s*o + h and give h. -1 Express 3 + 560*r**2 - 168*r**2 + 285*r**2 + 756*r**2 - 4 as m*r + z + i*r**2 and give i. 1433 Express ((-5 + 5 - 2)*(0 - 2 + 0) + 2 - 2 + 1 + (5 - 3 + 0)*(-6 + 1 + 4))*(-4*n - 4*n + 5*n)*(0 + 2 + 1)*(-2 + 2 - 4) in the form m + j*n and give j. 108 Express -2*m**3 - 61*m**4 - 60 + 34*m**4 - 7 + 28*m**4 as l*m**3 + r + q*m**2 + w*m + v*m**4 and give q. 0 Express 4*g**2 - 1 - 4*g**2 + g**2 + (3 - 3 - 3)*(-20 + 1393*g - 1393*g + 2*g**2) in the form s*g + k + w*g**2 and give w. -5 Express -36*b**2 - 3*b + 3*b - 2356 + 4717 - 2362 as q*b + h*b**2 + f and give h. -36 Rearrange -10*m - 5 - 5*m + 14*m - 14*m to d*m + o and give o. -5 Rearrange ((1 - 1 - 2*j)*(2 - 3*j - 2) - 2*j**2 + j**2 + 2*j**2 - j**2 - 5*j**2 + 4*j**2)*(-4*j - 2*j + 8*j) to the form p*j + z*j**3 + g*j**2 + f and give z. 10 Rearrange 88*v - 44*v + 63*v - 13*v to i*v + k and give i. 94 Express 5*d**3 + 24*d**2 + 2*d - 4*d**3 - 8*d**2 + d**3 - 2 - 17*d**2 + 9*d**4 as p*d**3 + a + y*d**2 + n*d + i*d**4 and give y. -1 Rearrange 367 + 997 - 923 + 2*k to g*k + r and give g. 2 Rearrange -1191*u**2 + 139 - 66 - 73 + (u**2 + u**2 - u**2)*(-4 + 3 + 3) + 2*u**2 + 3*u**2 - 3*u**2 to s*u**2 + b*u + t and give b. 0 Express -b**4 - 3 + 3 + (b**2 - 2*b**2 + 0*b**2)*(-45*b**2 + 37*b**2 - 16*b**2) - b**3 - 2*b**4 + b**3 as n*b**2 + a + j*b**3 + h*b + s*b**4 and give s. 21 Express -3*z**3 + 13 + 0*z**2 - 14*z**2 + 2*z + z**2 - 11 as k + w*z + l*z**2 + n*z**3 and give k. 2 Express -9 + 124*p**2 + 18 - 11 in the form u*p**2 + b*p + q and give u. 124 Express (2*v - 2 + 2)*(0 + 0 + 3*v) - 75*v**2 - 166*v - 210*v**2 + 166*v as s*v + p + m*v**2 and give m. -279 Express 19 - 19 - 490*z in the form p + a*z and give a. -490 Express (-12 - 13 + 4)*(3*c**3 - 2*c**4 - 3*c**3) + (4*c**2 + 3*c - 3*c)*(5*c**2 - 2*c**2 - c**2) as n + v*c**3 + z*c + q*c**4 + h*c**2 and give q. 50 Express 11*v**2 + 120*v**2 - 33*v**2 in the form f + d*v + i*v**2 and give f. 0 Express 151*w - 73*w - 15 + w**2 - 74*w in the form v*w**2 + n*w + x and give n. 4 Rearrange -2*t + 2*t - 1 - 2*t - 2*t + 3*t - 5*t + (-7 - 2 + 2)*(4*t + 0*t - 3*t) to the form o + s*t and give s. -13 Rearrange (7*h - 3*h - 2*h)*(-4274 + 1643 - 4784 - 1267) to the form i*h + x and give i. -17364 Express 10*h + 22 + 6*h - 3*h - 4*h as j*h + l and give j. 9 Express (b**2 + b**2 - 3*b**3 + b**2)*(4*b + 27 - 32 - 5*b) as a*b**2 + j*b**3 + x + p*b + n*b**4 and give j. 12 Rearrange 14*d - 341*d - 23*d to i + v*d and give v. -350 Express (-4 - 2 + 4)*(0*a + a - 4*a) + (-53*a - 123 + 123)*(-2 + 2 + 1) in the form d + s*a and give s. -47 Rearrange 1 - 7*y**2 + 12*y + 3*y**4 - 2 - 10*y + 3 to the form u*y**2 + p*y**4 + v*y + h + a*y**3 and give h. 2 Express 20*o**2 + 3*o - 3*o**3 + 2*o**3 + 2*o**4 - 9*o**2 in the form l + c*o**4 + z*o**3 + s*o + d*o**2 and give d. 11 Rearrange (-38 - 346 - 193 - 262)*(2*t**3 - 2*t**3 - 2*t**3) to y*t**2 + i + c*t + k*t**3 and give k. 1678 Rearrange -2 + 7*l - 765*l**2 + 2 + 3*l**3 + 768*l**2 to i + d*l + j*l**3 + o*l**2 and give o. 3 Rearrange -15*w**4 + 2 + 13*w**4 - 27*w**2 - 38*w**2 to the form b*w + z + n*w**2 + r*w**4 + v*w**3 and give z. 2 Express 0 - 3*r - 3 - 139*r**3 + 3 + 2*r**2 + 159*r**3 in the form j*r + u*r**2 + h*r**3 + m and give j. -3 Express -2*k**2 - 496 + 287 - 2*k + 260 as y*k**2 + p*k + i and give i. 51 Rearrange 274*c**2 - 53*c**2 + 54*c**2 + 89*c**2 to z + p*c**2 + w*c and give p. 364 Express (4*f + 4 - 851*f**2 + 842*f**2 + 2*f)*(5*f + 2 + 0*f + 0) as v*f**3 + m*f**2 + k*f + l and give v. -45 Express (0 - 4 + 3)*(-3*v + v + 0*v) + 2*v - 5*v - 4*v + (-v + 4*v - 2*v)*(0 - 2 + 0) in the form c + o*v and give o. -7 Express 12*j - 38*j**3 + 3*j**3 + 30*j**3 in the form n*j**2 + g*j**3 + s*j + p and give s. 12 Rearrange 4*d**2 - 7*d**2 + 5*d**2 + 9 + 3*d**2 + d to h*d + b + u*d**2 and give b. 9 Rearrange 107*g**2 - 2*g - 83*g**2 - 116*g**2 - 28*g**2 to v*g**2 + b + t*g and give v. -120 Express 1206 - 296*y - 1206 in the form o + t*y and give o. 0 Rearrange -13*y**4 - 14*y**4 + 5*y**4 + (4 - 4 - y)*(18*y**3 - 22*y**3 - 12*y**3) to g*y**3 + k*y**2 + v*y**4 + c + x*y and give v. -6 Express 11*k**3 - 6 + 10 + 10 - 8 - 4 + 12*k**2 in the form q + m*k**3 + y*k**2 + l*k and give y. 12 Express l**3 + l**2 + 4 + 1530*l - 16*l**2 + 1536*l - 2*l**3 - 3059*l in the form t*l**3 + m*l + w*l**2 + f and give m. 7 Express 42*l**2 + 41*l**2 + 20*l**2 - 1 as p*l**2 + y*l + k and give p. 103 Express -638*i**3 - 5*i**4 - 22*i**2 + 4*i**4 + 639*i**3 in the form a*i**2 + n*i + k*i**3 + u + h*i**4 and give h. -1 Express -71*g - 4 - 9*g**3 + 3*g**3 + 2*g**2 - 8*g**3 + 40*g + 32*g as i + w*g + u*g**2 + z*g**3 and give u. 2 Rearrange 3*j**4 - 2*j**4 + 1 - 167*j**3 + 6 + 171*j**3 + 2*j**2 to n*j**3 + d*j**2 + h*j + u*j**4 + g and give g. 7 Rearrange v**3 - 2 + 2*v + 4 + 77*v**4 - 75*v**4 - 11*v**3 to the form a + j*v + n*v**2 + k*v**3 + g*v**4 and give j. 2 Express (3 + 4*a - 3)*((0 - 4 + 2)*(-5 + 1 + 5) - 1 + 3 + 4) - 87 + 87 + 18*a in the form s + r*a and give r. 34 Rearrange 4*c + 0*c - 3*c + 0*c + c - 2*c + (-c + 4 - 4)*(4 - 1 - 2) - 95*c - 50*c + 62*c to the form a + g*c and give g. -84 Rearrange 4 - 2 + 7*o + 7*o - 5*o to the form m + q*o and give q. 9 Express 8*t**2 + 318*t - 2*t**4 - 2 + 6 + 5*t**4 - 316*t a
{ "pile_set_name": "DM Mathematics" }
j) = a*j + 5*j - 2*j. Let s(h) = 3*h. What is s(i(d))? 9*d Let n(f) = -6*f - 2. Let t(h) = 31*h + 11. Let x(u) = -11*n(u) - 2*t(u). Let r(l) = 12*l**2. Calculate x(r(q)). 48*q**2 Let k(g) = -2*g. Suppose -2*n - 3 = -3*n. Let d(b) = -4*b + n*b + 2*b. Determine k(d(j)). -2*j Let x(f) = -f**2 + f. Let d(h) = 2*h**2 - 3*h + 3. Let z(l) = -d(l) - 3*x(l). Let w(o) = o**2. What is w(z(g))? g**4 - 6*g**2 + 9 Let t(k) = 5*k**2 + 503 - 503. Let c(s) = -2*s - 4. Let q(a) = -2*a - 3. Let y(x) = 3*c(x) - 4*q(x). Give y(t(b)). 10*b**2 Let d(x) be the first derivative of 1 - 1/2*x**3 + x + 0*x**2. Let w(c) be the first derivative of d(c). Let t(p) = -2*p**2. What is t(w(g))? -18*g**2 Let r(j) = -2*j**2. Let w(g) = -8*g**2 + 10*g**2 - 4*g**2 + g**2. Give r(w(q)). -2*q**4 Let p(u) = u - 3. Let h be p(-3). Let o(k) = k. Let r(a) = -2*a**2 + 6*a. Let q(t) = h*o(t) + r(t). Let d(w) = -8*w**2. Give q(d(x)). -128*x**4 Let y(g) = 3*g**2. Let v(c) be the third derivative of -13*c**4/24 - 14*c**2. Calculate y(v(n)). 507*n**2 Let q(z) = -2*z**2 - 39*z. Let h(i) = -2*i**2. What is q(h(u))? -8*u**4 + 78*u**2 Let k(s) = -32*s**2 + 13. Let d(q) = -16*q**2 + 6. Let t(y) = -13*d(y) + 6*k(y). Let l(f) = f. What is l(t(u))? 16*u**2 Let z(g) = -4*g. Suppose 0 = -3*f - 6 + 18. Let y(d) = 9*d - 5*d - d - f*d. Determine z(y(l)). 4*l Let q(j) = -7*j + 5. Let i(o) = -8*o + 6. Let y(r) = 5*i(r) - 6*q(r). Let f(k) = -k**2 - 8*k**2 + 6*k**2. Give f(y(c)). -12*c**2 Let d(p) = -2*p**2. Let h(c) = 2*c**2 - c**2 - c**2 - 2*c**2. Calculate d(h(r)). -8*r**4 Let v(x) be the second derivative of 5*x**3 + 13*x. Let u(t) = -2*t**2. Calculate v(u(c)). -60*c**2 Let b(n) = 352*n**2. Let v(w) = -w**2. What is v(b(a))? -123904*a**4 Let v(f) = -4*f**2. Let j(d) = 300*d. Calculate v(j(a)). -360000*a**2 Let a(i) = 0*i - i + 4*i - 4*i. Let b(z) = 10*z. Let l(h) = -2*h. Let c(y) = -3*b(y) - 14*l(y). Calculate a(c(r)). 2*r Let g(z) = -21*z**2. Let q(a) = -a**2 + 2*a**2 + a**2. Give q(g(p)). 882*p**4 Let n(a) = 960*a. Let f(p) = -2*p**2. What is f(n(x))? -1843200*x**2 Let c(n) be the second derivative of n**4/24 - 2*n**2 + n. Let a(t) be the first derivative of c(t). Let g(p) = -2*p. What is a(g(z))? -2*z Let d(s) = -7*s. Let v(m) = 4*m + 3. Let b(w) = -w - 1. Let f(l) = -3*b(l) - v(l). Calculate f(d(u)). 7*u Suppose 2*l + 6 = 26. Let y(f) = -2*f. Let g(o) = -o. Let r(t) = l*g(t) - 6*y(t). Let x(d) = -d**2 - 2*d**2 + 3*d**2 + d**2. Determine r(x(c)). 2*c**2 Let d be 14/3 - 4/6. Let c(n) = 6 + d*n - 6. Let v(g) = g. Give v(c(y)). 4*y Let n(u) = 2*u**2. Suppose 3*f - 22 = -v, -4*v - f = 20 - 53. Let i(x) = -12 + 5*x + v + 5. Determine n(i(g)). 50*g**2 Let k(q) = 5*q. Let x(o) = 18*o**2 + 2. Give k(x(y)). 90*y**2 + 10 Let o(c) = -1. Let h(j) = -j**2 + 2. Let y(k) = h(k) + 2*o(k). Let m(w) = 14*w**2. Calculate m(y(s)). 14*s**4 Let m(k) = -4*k + 2*k + 2*k + 2*k. Let n(b) = 3*b - 3*b - 2*b. Determine n(m(s)). -4*s Let k(x) = -8*x. Let v(m) = -15*m. Let i(u) = -5*k(u) + 3*v(u). Let h(f) = -3*f. What is h(i(l))? 15*l Let f be (-8)/(-44) - (-40)/22. Let t(g) = -1 + 1 + f*g. Let o(n) = -n**2 - 2*n**2 + 6*n**2. What is t(o(y))? 6*y**2 Let q(b) = -2 + 6*b + 2. Let n(d) = -d. Let f(s) = s. Let k(w) = -4*f(w) - 3*n(w). Determine q(k(a)). -6*a Let j(g) = -10*g**2. Let q(m) = 4*m - 5. Give j(q(b)). -160*b**2 + 400*b - 250 Let t = 16 + -22. Let o(x) = -7*x**2 - 6. Let s(j) = j**2 + 1. Let r(b) = t*s(b) - o(b). Let z(i) = 6*i + 0*i - 4*i. What is r(z(c))? 4*c**2 Let p(t) = -3*t**2. Let i(k) = -34*k + 4. Calculate i(p(d)). 102*d**2 + 4 Let o(n) = 2*n. Suppose 5*c - 4*c - 2 = 0. Let v(j) = j - j + 3*j - c*j. Determine v(o(f)). 2*f Let o(i) = 2*i**2. Let y(z) be the second derivative of -2*z**4/3 + 3*z. Give y(o(x)). -32*x**4 Let n(r) = -148 + 148 + 3*r. Let j(z) = 3*z**2. What is j(n(i))? 27*i**2 Suppose 14*k + 4 = 10*k. Let o(q) = q + q**2 + 0*q**2 - 3 + 2. Let p(z) = -3*z + 3. Let b(x) = k*p(x) - 3*o(x). Let r(d) = -d**2. What is r(b(h))? -9*h**4 Let p(z) = 3*z**2. Let u be ((-10)/1 - 0) + 2. Let g(v) = -v - 7. Let r be g(u). Let o(j) = -1 - j**2 + r. Give o(p(k)). -9*k**4 Let u(y) = -2*y. Let d(w) be the second derivative of -4/3*w**3 + 0*w**2 + 0 + w. Calculate u(d(s)). 16*s Let p(z) be the third derivative of -z**5/15 - 12*z**2. Let l(g) = -3*g - 2*g + 3*g + 0*g. Determine l(p(j)). 8*j**2 Let j(f) = -1 + 0 + 2 + f. Let w(s) = -5*s - 2. Let g(d) = 4*j(d) + 2*w(d). Let x(h) = -h**2. Give x(g(l)). -36*l**2 Let k(r) = -6811*r**2. Let j(q) = q. Determine k(j(g)). -6811*g**2 Let y(z) = -z. Let v(s) = 3355*s**2. Give y(v(r)). -3355*r**2 Let o(i) = -3*i. Let f(k) = 6*k**2 + 5*k + 1. Let t(c) = c**2 + c - 1. Let q(a) = f(a) - 5*t(a). Let r(j) be the first derivative of q(j). What is o(r(z))? -6*z Let c(n) = 25*n. Let h(t) = 3*t**2. Give h(c(g)). 1875*g**2 Suppose 10 = 2*f, 10 = 3*q + 2*f - 12. Let h be 54/7 + q/14. Let g(o) = 2*o**2 + h*o - 8*o. Let w(j) = 2*j. Calculate g(w(x)). 8*x**2 Let d(h) = h. Let i(x) be the first derivative of 4*x**3 - 1 - 2 - 2*x**3 - x**3. Determine i(d(g)). 3*g**2 Let a(i) = -7*i**2 - 5*i - 5. Let q(t) = -8*t**2 - 6*t - 6. Let r = 6 - 1. Let c(m) = r*q(m) - 6*a(m). Let n(g) = -5*g. Give n(c(u)). -10*u**2 Let m(y) = 355*y. Let o(u) = 20*u. Determine m(o(c)). 7100*c Let q(n) = 4*n**2 + 3*n + 3. Let u(a) = a**2 + a + 1. Let d(v) = -2*q(v) + 6*u(v). Let j = -7 - -18. Let k(i) = -2 - 4*i - j + 13. Determine k(d(l)). 8*l**2 Let k(x) = x**2. Let f(s) be the second derivative of s**2 - 1/24*s**4 + 0 - 2*s + 0*s**3. Let q(v) be the first derivative of f(v). Give k(q(h)). h**2 Let y(m) = -m + 2. Let o(z) = -6*z + 10. Let n(l) = -o(l) + 5*y(l). Let j(t) = 14*t. Give j(n(p)). 14*p Let q(c) = -4*c - 6. Let t be q(-6). Let x = t + -13. Let n(v) = 3*v + 3*v - x*v. Let i(z) = -z**2. Calculate n(i(s)). -s**2 Let a(b) = 1 - 2 + 1 - 4*b**2. Let p(l) = -2*l**2. Determine a(p(m)). -16*m**4 Let u(z) be the first derivative of 7*z**3/3 - 1. Suppose -11*o = -6*o - 45. Let d(v) = 0*v - o*v + 11*v. Calculate u(d(h)). 28*h**2 Let a(t) be the first derivative of -4 + 0*t**2 - 1/3*t**3 + 0*t. Let x(i) = i**2. Give a(x(d)). -d**4 Let z(f) = -f**2 - 1. Let q(v) = 7*v**2 + 6. Let g = 2 - 1. Let b(k) = g*q(k) + 6*z(k). Let r(j) = -j. Determine b(r(h)). h**2 Let t(z) = 4*z. Let h(c) = -2*c. Let y(s) = 5*h(s) + 2*t(s). Let w(m) = 3*m**2. Determine w(y(n)). 12*n**2 Let o(v) = -3*v**2. Let b(y) = y + 4. Let h(s) = 2*s + 9. Let f(k) = 9*b(k) - 4*h(k). Determine f(o(t)). -3*t**2 Let v(p) = p**2. Let k(r) = 3*r - 5*r + r. What is k(v(y))? -y**2 Let u(h) be the first derivative of h**4/12 - 3*h**2/2 + 3. Let o(x) be the second derivative of u(x). Let m(d) = -55 + 5*d + 55. Calculate o(m(f)). 10*f Let p(r) = 62*r. Let v(s) = -4*s**2. Give v(p(b)). -15376*b**2 Let p(r) = -r. Let f(v) = -v. Let y(l) = 6*f(l) - 5*p(l). Let s(w) = 26*w. Determine s(y(k)). -26*k Let m(x) = -4*x. Let u(h) = -h - 41. Determine m(u(p)). 4*p + 164 Let z(x) be the second derivative of x**6/720 - x**4/6 - 2*x. Let f(m) be the third derivative of z(m). Let d(a) = -a**2 - 3*a**2 + 6*a**2. Give f(d(i)). 2*i**2 Let c(l) be the third derivative of -l**4/24 + 3*l**2. Let u(n) be the second derivative of n**3/3 + 2*n. Determine u(c(i)). -2*i Let b(u) = -79*u**2 - 14*u. Let v(p) = 3*p**2. Determine b(v(k)). -711*k**4 - 42*k**2 Let s(k) = 3*k - 4*k + 2*k. Let y(w) = 5*w**2 - 6*w - 6. Let r(j) = 11*j**2 - 13*j - 13. Let u(p) = -6*r(p) + 13*y(p). Give u(s(c)). -c**2 Let x(s) = -s**2 + 382*s. Let f(b) = 14*b**2. Give x(f(y)). -196*y**4 + 5348*y**2 Let t(j) = -4*j. Suppose 12*h = 9*h. Suppose -9 = -3*y, -2*y = n - 5*y + 9. Let m(q) = 3*q + h + n - 2*q. What is m(t(f))? -4*f Let k(w) = 19*w + 5. Let t(c) = 12*c**2. Calculate k(t(i)). 228*i**2 + 5 Let a(m) = 7*m**2. Let x(u) = -4*u + 6*u + 0*u - 3. Let r(k) = -k + 1. Let c(o) = -3*r(o) - x(o). Determine a(c(b)). 7*b**2 Let o(k) = -9*k**2. Let t(x) = 51*x. Determine t(o(m)). -459*m**2 Let j(d) = -d. Let b be 2 + (-1)/(2 + -3). Suppose -l = -f + 1, 5*f = 4*l + 6 - 1. Let v(s) = b*s - s + l*s. Determine j(v(k)). -2*k Let x(q) = -q**2 - 3*q. Let n(s) = 2*s**2 + 7*s. Suppose -z + 24 = 3*z. Let b(d) = z*n(d) + 14*x(d). Let h(u) = -8*u**2. Give b(h(m)). -128*m**4 Let d(j) be the second derivative of 5*j**3/3 + 6*j + 4. Let a(o) = o**2. C
{ "pile_set_name": "DM Mathematics" }
Give h(2). 10 Let o be (-81)/12 - 1/4. Let x(b) = -3*b**2 + 19*b + 22. Let p(z) = -2*z**2 + 13*z + 15. Let k(w) = o*p(w) + 5*x(w). Calculate k(5). 0 Let f(o) = 2*o + 4. Suppose -2*y = 5*n - 15, 0 = -5*y + 3*n - 1 - 39. Determine f(y). -6 Let x(u) = 8*u + 2. Let v(l) = 7*l + 1. Let h(k) = 3*v(k) - 2*x(k). Give h(-1). -6 Suppose -3*s - 2*s + 50 = 0. Suppose 0*o = -2*o + s. Let r(z) = -z**2 + 5*z - 1. Determine r(o). -1 Let k(d) = -10*d**2 - 5*d - 21. Let q(f) = -3*f**2 - 2*f - 7. Let z(h) = 2*k(h) - 7*q(h). What is z(-5)? 12 Let q(h) = 4*h + 1. Let v be q(-1). Suppose 0 = 2*b - 2*s, -5*b + 0 = -3*s - 4. Let x(c) = -6 + 5*c - 4*c - b*c. Determine x(v). -3 Let w(a) = -a**3 + 3*a**2 + 2*a. Let d(y) = y**3 + y**2 + 3. Let o be d(0). Let s = o + -5. Let f be ((-2 - -1)*6)/s. What is w(f)? 6 Let o(g) = g + 10. Let j be o(-8). Let d(i) = 0*i**2 + 0*i**j - 9 - i - i**2 - 3. Give d(0). -12 Let h(d) be the first derivative of -d**3/3 - d**2 + 3*d - 3. Let g be (8/(-6))/((-4)/18). Suppose x = -x - g. Give h(x). 0 Let c(i) = -i - 8. Let o be 0 - ((-1)/(-1) + -1). What is c(o)? -8 Let b(d) = 6*d + 0 - 5*d - 4 + 1. Give b(-3). -6 Let x(j) = 3*j**2 + 2*j - 1. Suppose -a + 4 = -1. Suppose -10*g - 10 = -a*g. Give x(g). 7 Let w(l) be the third derivative of -5*l**4/24 + 7*l**2. Determine w(-4). 20 Let z(w) = w**3 + 8*w**2 + 7*w + 2. Let s(l) = l**3 + 2*l**2 - 7*l - 3. Let o be s(-4). Calculate z(o). 2 Let s(d) = 3*d - 6. Let a be s(4). Let f(u) be the second derivative of u**3/6 + 22*u. Calculate f(a). 6 Let b = -3 - -6. Let k(s) = 4*s + 3. What is k(b)? 15 Suppose -17*c - 10 = -15*c. Let n(r) = -2*r + r + 4 + 4*r. Give n(c). -11 Let r(x) be the third derivative of x**4/24 + 17*x**3/6 - 21*x**2. Calculate r(0). 17 Let u(m) = 3*m**2 - 2*m - 2. Let b = 12 + -10. Calculate u(b). 6 Let p(z) = z + 3. Suppose c - 10 = 6*c. Give p(c). 1 Let m(x) = 20*x + 6. Let z(t) = 7*t + 2. Let b(q) = 6*m(q) - 17*z(q). Suppose i + p + 5 = -4*i, 3*i - 3*p + 21 = 0. Give b(i). 0 Suppose a + d + 4 = 0, -3*a - 5*d - 10 = 10. Let l = a - -2. Let z(i) = -i. Let x(j) = -8*j + 2. Let h(w) = l*z(w) - x(w). Determine h(2). 10 Let h(s) = s**3 + 5*s**2 - 5*s + 1. Let w be h(-6). Let j = 1 - w. Let z(o) = -o**2 + 6*o + 3. What is z(j)? 3 Let b(t) = -t**2 - 10*t - 5. Let d be b(-9). Let f(x) = x**3 - 4*x**2 - 1. Determine f(d). -1 Let v(r) be the second derivative of -r**4/12 + 5*r**3/6 + 2*r**2 - r. Calculate v(5). 4 Let d be (15/(-3) - -5) + 5. Let k(x) = x**3 - 6*x**2 + 4*x + 2. Give k(d). -3 Let l be (5 + -2)*4/(-6). Let t be (l/(-2))/(1/(-5)). Let i(x) = 2*x - 4*x + 11 - 32 + 14. Give i(t). 3 Let w be 65/(-10) + 2/4. Let z(m) = 2*m - 3. Calculate z(w). -15 Let y(s) be the third derivative of 0 + 0*s + 4*s**2 - 1/2*s**3 - 1/120*s**6 + 0*s**5 + 1/12*s**4. Give y(2). -7 Suppose -4*r = -73 + 57. Let z(o) = -o**2 + 7*o - 5. Give z(r). 7 Let f(p) = -p**2 - p - 2. Let m(v) = -v - 1. Let z(l) = f(l) + 6*m(l). Let r = 8 + -14. Determine z(r). -2 Let s be 2*((-3)/((-18)/(-3)) - -3). Let d(b) = -4*b - 1. Let c(n) = n**2. Let y be c(-1). Let i(r) = r. Let h(g) = y*d(g) + 5*i(g). Give h(s). 4 Let w(g) = g + 1. Let v be w(-5). Let h = -8 - -11. Let b(c) = -h + 0*c - c + 2. Calculate b(v). 3 Let o(x) = -x + 1. Let s be o(-5). Suppose -3*i = -0*i - s. Let l(u) = 4*u**2 + u**3 - 3*u + i*u + 1 + 2. What is l(-4)? 7 Let x be 2/(-6) - (-4)/(-6). Let b be (1 - 1)*(2 + x). Let p(l) be the third derivative of -l**4/24 + l**3/3 - 2*l**2. Determine p(b). 2 Let q(m) = -m**3 - 6*m**2 + 7*m + 4. Suppose -6*b - 39 = -b - 4*i, -3*b = 3*i + 18. Calculate q(b). 4 Let d(a) = -3*a - 1 + a**2 + a + 3*a. Let o be -2 - 0/(-2) - -1. Calculate d(o). -1 Let r(o) = -2*o**2 - 8 - 5*o + 3*o**2 + 0*o**2. Determine r(7). 6 Let g(s) be the first derivative of -s**4/4 - 8*s**3/3 - 9*s**2/2 - 10*s + 5. Let m be g(-7). Let t(v) = v**3 - 2*v**2 - 6*v + 4. Give t(m). 12 Let s(o) = 3*o - 2. Let h(z) = 2*z - 2. Let g(a) = -4*h(a) + 3*s(a). Calculate g(5). 7 Let f(i) = -3*i + 4. Let o be 6/(-3*(-4)/8). Give f(o). -8 Let s(l) be the second derivative of l**3/2 - 9*l**2/2 - 12*l. What is s(6)? 9 Let x(g) = g**3 + 2*g**2 + 3*g. Let t(r) = 2*r**3 + 46*r**2 + r + 21. Let c be t(-23). Determine x(c). -6 Let g(n) = -n**2 + 6*n - 5. Suppose -h = -0 - 6. Calculate g(h). -5 Suppose 7 + 8 = 5*o. Suppose -4*u + 3*t - 5 = 0, -o*u + t - 7 = u. Let g(l) = l**2 + l - 2. Determine g(u). 0 Let g be 1/(1 - 0)*2. Suppose -2*m + 16 = g*m. Let n(d) be the third derivative of d**4/24 - 5*d**3/6 + d**2. Give n(m). -1 Let g(s) = s**2 + s - 2. Let b(f) = f + 9. Let l be b(-9). Calculate g(l). -2 Let y(z) be the first derivative of z**4/2 + z**3/3 - z**2 - z + 2. Let q(c) be the first derivative of c**2 + 4*c + 3. Let t be q(-3). What is y(t)? -9 Let s = -20 - -18. Let c(t) = t + 4. Give c(s). 2 Let c(a) be the second derivative of a**6/360 + a**5/30 - a**4/12 + a**3/3 + 5*a. Let o(g) be the second derivative of c(g). Calculate o(-5). 3 Suppose -20*i = -12*i - 8. Let c(j) = 4*j - 1. Determine c(i). 3 Let v(g) = -4*g + 2. Suppose 2*l - l - 1 = 0. Let x be ((-8)/4)/(-2)*1. Let c = l + x. What is v(c)? -6 Let z(x) = -x**3 + 5*x**2 - 2*x + 2. Let c(v) = v**2 - 4*v - 2. Let a be c(4). Let l be (-3)/a - (-28)/8. Give z(l). -8 Let g be 14/63 + 32/18. Let w(v) = -3 + 4 - 2 - v - g*v. Suppose -4*p + 2 = -2. Give w(p). -4 Let m(h) = h**2 + 10*h. Let c be m(-10). Let u(a) = a**3 + a**2 + 2*a**3 - 4*a**3 + 3. Give u(c). 3 Let o(b) = b**3 + 2*b**2 - 1. Let c be o(1). Let k(v) be the second derivative of -v**5/20 + v**4/12 + v**2 + 2*v - 39. Give k(c). -2 Let k(x) = -x**2 - x + 5. Suppose 2*r = 5*j + 39, -5*r + 3*j + 34 = -16. Let q be 6/8 - r/4. Let p be (-1)/q*3 + -3. What is k(p)? 5 Let u(z) = -5*z**2 - 6*z**2 + 4*z**2. Let n(b) = b**3 - 3*b**2 + b. Let h be n(3). Suppose -2*t - t = -3*f + h, -3*t = -4*f + 3. What is u(t)? -7 Let b = 8 + -6. Let j(v) = -1 + 5*v**2 + 9*v**3 - 3*v**2 - v**b - v. Determine j(-1). -8 Suppose 3 = 2*z - 1. Suppose -f + z = 6. Let y(q) be the first derivative of -q**3/3 - 3*q**2/2 + 4*q - 1. Calculate y(f). 0 Suppose 5*t - l - 5 = 0, 2*t = 6*t - 4*l - 20. Suppose -3 = -2*c - 5*k + 2, -c + 5*k - 20 = t. Let h(p) = p**3 + 5*p**2 + p + 1. Calculate h(c). -4 Suppose 0*s + 14 = -s + 3*i, -3*i + 19 = -2*s. Suppose 0*u + 4 = u. Let r(f) = -8 - u*f + f + 2*f. Calculate r(s). -3 Let w(t) be the first derivative of -t**3/3 - t**2 - t + 7. Give w(-4). -9 Let a(s) be the second derivative of -s**4/12 + s**3 - 3*s**2/2 + 22*s. Give a(3). 6 Let r(t) = -t - 9. Suppose -2*j = m + 17, 0*j - 3 = -m + 2*j. What is r(m)? -2 Let r = 5 + 12. Suppose 5*l + r = -2*z, -3*l - 6 = -z + 13. Let b(j) = -j**3 + 4*j**2 + 3*j - 5. Determine b(z). 7 Let i be 3 + (-1)/1*1. Suppose -3*r + 4*s + 16 = 0, 4*r - 2*s - 16 = 2*s. Let f(z) = 0*z**2 + r*z - 4 + z**i - 3*z. Determine f(5). 6 Suppose -6*g = -11*g - 25. Let z(s) = s + 8. Determine z(g). 3 Let u be 39/12 + 2/(-8). Let m be (5/15)/(1/6). Let y(q) = 3*q**m - 2 - 4*q**2 + 0 + 1. Give y(u). -10 Suppose -3*n = 3*q - 8*n - 22, 0 = -4*q - 4*n - 24. Let g(f) = 3*f - 1. Give g(q). -4 Let v(g) = -6 + 26*g + 2 - 10*g + 3. What is v(-1)? -17 Let k = -5 - -9. Suppose 0 = n - k*n - 9. Let h(t) = 2*t. Let z(x) = -2*x - 1. Let r(l) = 3*h(l) + 4*z(l). Determine r(n). 2 Let r(n) be the third derivative of -n**6/120 - 2*n**5/15 + 11*n**4/24 + 11*n**3/6 + n**2. Suppose 4*b + 11*u = 8*u - 48, 2*u + 44 = -4*b. Determine r(b). -7 Let w(d) = d**3 + 5*d**2 - 7*d - 1. Let f be w(-6). Suppose 4*k = -p + f, -k + 4*k - 15 = 3*p. Let r = p - -4. Let z(c) = -4*c**3 - c + 1. Determine z(r). -4 Let m(s) = 11*s**2 + 33*s + 33. Let k(d) = -11*d - 11. Let b(y) = 5*y + 5. Let n(j) = 13*b(j) + 6*k(j). Let i(g) = -m(g) - 33*n(g). Calculate i(-1). -11 Let p = 8 + -6. Let g(k) = 4*k - 5. Let f(y) = 2*y - 2. Let j(s) = 5*f(s) - 2*g(s). What is j(p)? 4 Let m(b) = -2*b - 11. Let q be m(-9). Let y(h) = -q - 2*h + 0 + 3. Determine y(-5). 6 Suppose 65 = 3*p - 5*y, -p - 4*p + 55 = 5*y. Suppose p = 3*g + 81. Let q be (-4)/(-22) - (-114)/g. Let b(k) = -2*k - 7. Calculate b(q). 3 Let r(p) = -p + 0 + 3 - 3. Let a(v) = -10*v**2 - 2*v + 1. Let i(k) = a(k) - 3*r(k). What is i(-1)? -10 Let o(c) = 6*c + 3. Let w(q) = -13*q - 6. Suppose -3*f + 5 = -2*f. Let p(a) = f*o(a) + 2*w(a). Let d
{ "pile_set_name": "DM Mathematics" }
834813? False Does 40 divide 38616760? True Does 4002 divide 74425194? True Does 58 divide 782710395? False Is 42 a factor of 1187133990? True Is 153 a factor of 298609057? False Is 109 a factor of 515157980? True Is 417508108 a multiple of 80? False Is 229140 a multiple of 60? True Is 816 a factor of 614448? True Does 150 divide 497500800? True Does 33 divide 678073110? True Does 50 divide 96550763? False Is 398825847 a multiple of 147? True Is 12572274 a multiple of 133? False Is 404557692 a multiple of 12? True Is 72978692 a multiple of 307? False Is 17 a factor of 213400179? False Is 163 a factor of 11342283? False Is 49384812 a multiple of 4? True Is 85010422 a multiple of 194? False Does 41 divide 88217756? False Is 661472111 a multiple of 513? False Does 1161 divide 96483561? False Is 661069555 a multiple of 5818? False Is 100 a factor of 3195975844? False Is 381937810 a multiple of 17? True Is 1590 a factor of 593604240? True Is 979038946 a multiple of 1022? False Does 105 divide 35730679? False Does 61 divide 23579887? False Is 86 a factor of 38585104? True Does 1740 divide 36997620? True Does 1110 divide 1255275567? False Does 770 divide 335503190? False Is 503 a factor of 726807680? False Is 124582987 a multiple of 147? False Is 57470422 a multiple of 74? False Is 151806764 a multiple of 4? True Is 31357323 even? False Is 53 a factor of 23852279? True Is 3316692797 a multiple of 1133? False Is 709 a factor of 112940864? True Does 1424 divide 1191465391? False Does 21 divide 904155? True Does 354 divide 953993536? False Is 1513 a factor of 99553635? False Is 25166925 a multiple of 2? False Is 75093023 a multiple of 5? False Is 1642622 even? True Is 116 a factor of 1599872? True Is 948 a factor of 45263524? False Does 48 divide 8373168? True Is 4 a factor of 1595405756? True Does 38 divide 262790632? False Is 160 a factor of 367076000? True Is 3910044 a multiple of 213? False Does 40 divide 1001504228? False Does 1167 divide 873683886? True Does 428 divide 2784140? True Is 41 a factor of 244667486? False Is 279 a factor of 1516704822? True Does 12 divide 18600456? True Is 34767167 a multiple of 340? False Is 7208177 a multiple of 34? False Is 106096507 a multiple of 26? False Does 25 divide 29074383? False Is 5998293 a multiple of 1043? True Is 2758 a factor of 28138943? False Does 2 divide 151901530? True Is 47002680 a multiple of 2445? True Is 41 a factor of 9772924? True Does 145 divide 184176680? True Is 723 a factor of 119840908? False Does 395 divide 757417240? True Does 899 divide 115244164? False Does 1245 divide 636521949? False Is 4882082 a multiple of 606? False Is 22896954 a multiple of 71? False Is 5287 a factor of 253448206? True Is 3537 a factor of 132304456? False Does 361 divide 79585338? True Is 14541973 a multiple of 67? False Is 124 a factor of 50407325? False Is 45935808 a multiple of 2284? True Is 46359599 a multiple of 375? False Is 4360 a factor of 1696430291? False Is 13879716 a multiple of 432? False Is 192761590 a multiple of 98? True Does 422 divide 74264885? False Is 5 a factor of 70804514? False Is 201 a factor of 1180652? False Is 142 a factor of 3474172? True Does 284 divide 242602172? True Is 80515056 a multiple of 732? False Is 240216840 a multiple of 604? True Is 3289 a factor of 277168753? False Is 2099092332 a multiple of 138? True Does 86 divide 410249222? False Does 174 divide 5727906? True Is 466320854 a multiple of 8? False Does 2 divide 28083168? True Is 14 a factor of 123401046? False Is 19 a factor of 915273073? True Does 9740 divide 599010291? False Is 1782 a factor of 24646842? True Does 2327 divide 48918194? True Is 3416969 a multiple of 163? True Is 776003923 a multiple of 1319? False Does 5 divide 993475466? False Is 16 a factor of 728888480? True Does 7475 divide 2810600? True Is 1951809706 a multiple of 28? False Is 68 a factor of 6756820? True Does 140 divide 8891970? False Is 459216420 a multiple of 39? True Does 50 divide 73877700? True Is 8427780 a multiple of 270? True Is 192959985 a multiple of 167? False Does 11 divide 113206621? True Is 3962489771 a multiple of 2597? False Is 34 a factor of 473557520? False Does 2750 divide 1059030500? True Is 696711792 a multiple of 1176? True Is 23 a factor of 27615042? True Is 2183181217 a multiple of 44? False Is 22 a factor of 5241940? True Is 938083156 a multiple of 14? False Is 187308986 a multiple of 750? False Does 33 divide 61872261? True Does 4 divide 8464136? True Is 246799357 a multiple of 49? False Is 7199391 a multiple of 69? True Is 177991335 a multiple of 1127? False Is 1494521041 a multiple of 354? False Does 22 divide 133415744? True Is 40173973 a multiple of 49? True Does 702 divide 9319150? False Is 185 a factor of 1594394? False Does 148 divide 283544912? True Is 6 a factor of 23101062? True Is 1087588672 a multiple of 4? True Does 89 divide 6775713? False Is 72728430 a multiple of 771? True Is 677 a factor of 42826646? False Is 14 a factor of 90958336? True Is 118649254 a multiple of 239? False Is 534 a factor of 37461241? False Is 1795157 a multiple of 7? True Is 23460327 a multiple of 387? True Does 125 divide 125657000? True Is 44357836 a multiple of 180? False Does 17 divide 3229259259? True Does 3186 divide 125547516? True Is 5432916 a multiple of 1068? True Is 126 a factor of 163881978? False Does 18 divide 95674610? False Is 18 a factor of 203937528? False Is 609 a factor of 6625920? True Is 290 a factor of 232028130? True Does 1816 divide 46035600? True Is 69 a factor of 5365647? True Is 3644 a factor of 2929575580? True Is 808776 a multiple of 24? True Does 33 divide 42954252? True Is 193367580 a multiple of 15? True Is 477 a factor of 1348669323? True Is 5 a factor of 48770085? True Is 22447870 a multiple of 106? False Does 898 divide 408442186? False Is 35181325 a multiple of 25? True Does 20 divide 972437380? True Does 63 divide 14877765? True Is 3138310663 a multiple of 574? False Is 17383366 a multiple of 26? True Is 36554232 a multiple of 12? True Is 45 a factor of 77631019? False Does 36 divide 51345288? True Does 7 divide 57076581? False Does 7 divide 23639539? True Is 171435301 a multiple of 19? False Is 991 a factor of 52164156? False Is 30 a factor of 26138490? True Is 2246741602 a multiple of 74? True Is 52462944 a multiple of 72? True Is 5121340 a multiple of 466? True Is 396967531 a multiple of 38? False Is 47 a factor of 1414332648? True Is 22530249 a multiple of 7? True Does 364 divide 1291277? False Does 1484 divide 92380238? False Is 409 a factor of 462518148? False Is 272 a factor of 79933788? False Does 324 divide 16969315? False Does 182 divide 893704630? True Is 20489766 a multiple of 1429? False Does 2587 divide 720674950? False Does 153 divide 39455487? True Is 1426 a factor of 21893474? False Is 10342502 a multiple of 46? True Is 88 a factor of 4808485088? True Does 302 divide 648651002? True Is 7579 a factor of 1760801049? False Is 34462237 a multiple of 29? True Is 381 a factor of 99943920? True Is 316 a factor of 83901231? False Does 238 divide 1901032045? False Is 4960 a factor of 789518114? False Is 35 a factor of 65014971? False Is 11 a factor of 1724094152? True Is 257 a factor of 191215196? True Is 129 a factor of 273384282? True Does 132 divide 41590692? True Is 1306 a factor of 267655558? True Is 582190983 a multiple of 57? False Is 676 a factor of 564637788? True Does 353 divide 25042173? True Is 179293973 a multiple of 3940? False Does 433 divide 2821428? True Does 2306 divide 40538429? False Is 36456608 a multiple of 20? False Does 1367 divide 169812841? True Does 11 divide 36554034? True Is 1212 a factor of 256002276? True Is 10 a factor of 8638320? True Does 67 divide 80608885? False Is 30 a factor of 13659373? False Does 46 divide 252292520? True Does 12 divide 4537512? True Does 178 divide 20491894? True Is 656 a factor of 80739394? False Is 120 a factor of 31741680? True Is 5232 a factor of 591874281? False Does 46 divide 168341738? True Does 4099 divide 296328219? False Is 751 a factor of 8324835? True Is 187 a factor of 238635328? False Is 1766430750 a multiple of 1750? True Is 301673800 a multiple of 50? True Is 16465187 a multiple of 6948? False Does 2287 divid
{ "pile_set_name": "DM Mathematics" }
= 15 - 47/3. What is the smallest value in -5, o, 0.1? -5 Let w = 668 - 663. Let l = -4 + 1. Let m be (-4)/(-9)*1/(-4). What is the second smallest value in l, w, m? m Let s = -0.52 + 0.82. What is the second biggest value in s, -2/3, 2, 5? 2 Let x be (-1 + -2)/((-18)/4). What is the smallest value in 1, x, -3/7? -3/7 Let l be (145/4)/((-6)/(-8)). Let u = -121 + 72. Let f = l + u. What is the smallest value in f, -3, -0.4? -3 Let z = -0.27 - -0.56. Let u = z - -0.01. What is the second biggest value in u, -1, 2? u Let s = 0.1 - 0.2. Let o = -19 + 14. What is the third smallest value in s, o, -1/7? s Let l = -26 - -27. Let j = -2 + 1.8. What is the second biggest value in j, 3, l? l Let z = 2.6 - -0.4. Let n = z - 3.1. Let v = 0.12 - 0.12. What is the biggest value in -0.4, n, v? v Let u = 8.9 - 9. Let p = 0.1 - u. What is the third smallest value in -3/2, p, -0.3? p Let w = -8 + 8.06. Let n = -103 - -104.94. Let x = w + n. Which is the smallest value? (a) x (b) 1 (c) -1 c Let q = 0.47 + -5.47. Which is the biggest value? (a) q (b) 4/7 (c) -2 b Let k = -8.5 + 9. Let c = 0.07 - 1.07. What is the third smallest value in c, k, 0.2? k Let o = 332/11 - 30. Which is the second smallest value? (a) 1 (b) o (c) 0.2 c Suppose -2*f + 7*f = 115. Let r = f + -70/3. Let j = 3 + -3.1. Which is the biggest value? (a) 3 (b) r (c) j a Let g = -52/7 + 229/28. What is the biggest value in g, -0.3, 3, 0.9? 3 Let k = -8.7 - -6.7. Which is the third biggest value? (a) -1 (b) k (c) 0.1 (d) -5 b Let z be (6/(-4))/((-1)/(-2)). Let f be (2/z)/(10/6). Let j = 12.7 - 13. What is the second biggest value in 1, j, f? j Let j = -6 + 4. Let m = -31/5 - -6. Which is the second biggest value? (a) 2/7 (b) j (c) m c Let d = 8.8 + -9. Which is the second biggest value? (a) 3 (b) d (c) -0.1 c Let p = -15 + 11. Let n = -3.7 - p. Let s = -10/11 - -8/33. What is the third smallest value in -4/3, s, n? n Let s = -13 + 18. Which is the third biggest value? (a) 0.3 (b) 2/5 (c) s a Let w be (64/168)/((-2)/87). Let i = -120/7 - w. What is the third biggest value in -2, -1, i? -2 Let t = -1.7 + 1.7. Which is the third biggest value? (a) 1/7 (b) t (c) -1 c Let l(d) = 45*d + d**2 + 7 - 4 - 43*d. Let n be l(-2). Which is the second smallest value? (a) -0.2 (b) n (c) -4 a Let j = 0.6 + -0.1. What is the second smallest value in j, -4/5, -0.2? -0.2 Let d = 80 - 85. Let t = 73 + -512/7. What is the second smallest value in t, d, 0? t Let t = -1.5 - -2. Which is the second biggest value? (a) t (b) -0.2 (c) -0.4 b Let i = -4.9 - -1.7. Let f = i + 3. Which is the smallest value? (a) f (b) 0.4 (c) -0.1 a Suppose 16*b = 13*b - 3. What is the third biggest value in b, -2, -0.07, -4? -2 Let g = -17.45 - -17. Let i = -0.05 - g. Suppose -4 = -2*c - 2. What is the third smallest value in c, 0, i? c Let r = 87/4 + -597/28. Which is the second biggest value? (a) r (b) 0 (c) 2 a Suppose 5*k + 94 + 116 = 0. Let y be (-2)/(-42) - 12/k. Let i = -8.97 - -9. What is the third smallest value in i, y, -2/11? y Let o = -6 + 17/3. Let l = -0.8 + 0.5. Which is the biggest value? (a) l (b) o (c) 4 c Let f be (2/3)/((-14)/6). What is the second biggest value in f, -1, -2/5? -2/5 Let g(j) = j**3 - 5*j**2 + 6*j - 3. Let q be g(3). Which is the biggest value? (a) q (b) -1 (c) -0.3 c Let z = -140 + 1399/10. Which is the second smallest value? (a) -2/3 (b) -3/5 (c) 3 (d) z b Let k = 14 - 9. Let x be 1041/72*7*3. Let q = -304 + x. What is the second biggest value in q, 0.4, k? 0.4 Let g = -2.1 + -1.9. Let f = -0.5 - -1. What is the third biggest value in -0.1, g, f? g Let m = 21 - 25. Suppose -4*j + 3*s = -3, -j = -0*j - 3*s + 6. Let n be 10/3 - 1/j. What is the third biggest value in -1/5, m, n? m Let w be (114/45)/2 - (-3)/(-5). Let u = 0.1 + -0.3. Let v = u - 0.8. What is the second smallest value in v, 0.4, w? 0.4 Let y = 4.09 + -0.09. Let f = -8.7 + -2.3. Let c = f - -11.4. What is the second smallest value in c, y, -0.2? c Let r = 8 + -9.1. Let g = -1 - r. Let d = 18.6 - 18.2. What is the third biggest value in g, -2/5, d? -2/5 Let d = 3 + 0. Let k = 1 + -1.3. Let x(g) = -g**3 + 11*g**2 + 11*g + 13. Let s be x(12). Which is the smallest value? (a) d (b) s (c) k c Let p = 21 - 17. Let q be (p/12)/(10/(-6)). Which is the biggest value? (a) 2/7 (b) -4 (c) q a Let z = -15.5 + 15. What is the biggest value in z, 5, -4? 5 Suppose 2*g - 25 = -3*g. Let w = g - 7. Let j = 1.8 - 1.9. Which is the biggest value? (a) w (b) 2 (c) j b Let w = 56.08 + -52. Let u = -0.08 + w. Let h = 2 - 2.5. Which is the second biggest value? (a) h (b) u (c) 3 c Let u = -8 + 4. Let t = 3.2 - 2.7. What is the third smallest value in 0, u, t? t Let n = -0.06 - 3.94. Let w = -7/10 + -4/5. What is the biggest value in -3, n, w? w Let v = -7/5 - 1/10. Let t = -3.92 + -0.08. Let j = 5.05 + -0.05. Which is the third smallest value? (a) v (b) j (c) t b Let y = 30 - 27. Suppose -12 = 3*l - 0*l. Which is the third smallest value? (a) l (b) y (c) 0.4 b Let s = 2.24 - 2.5. Let j = 0.8 + -1. Let u = s - j. Which is the second smallest value? (a) -3 (b) -0.4 (c) u b Let v = 164 - 5. Let r = v - 633/4. What is the second smallest value in 2/3, r, 0.2? 2/3 Let t = 2.5 - 2.5. Let l be 26/(-28) + (-1)/(-2). Let g = -57/77 - -5/11. Which is the second smallest value? (a) g (b) t (c) l a Let k = 7/4 - 39/20. Which is the second biggest value? (a) k (b) 1 (c) 0 c Let x = -5 - -8. Let t = -2.2 - -7.2. What is the smallest value in x, -1, t? -1 Let d be 2/(-40) - (-1)/4. Let i = -9.5 - -9. Which is the smallest value? (a) d (b) i (c) -0.3 b Let u = -3 - 2. Let s = -4 - -3. Let b be (-132)/72 - (s - 1). What is the second biggest value in 3, b, u? b Let h = 0.013 + -0.043. Let g = 28.97 + -28. Let i = g - h. Which is the second biggest value? (a) 3 (b) i (c) 0.5 b Let t(q) = -q - 12. Let x be t(-9). Which is the fourth smallest value? (a) -1/2 (b) x (c) -1/6 (d) 0.3 d Let m(q) = -q**3 + 9*q**2 - 2*q + 9. Let s be m(6). Let r = -839/8 + s. What is the third biggest value in r, -1/11, -1/4? -1/4 Let f be ((-2)/(-24))/((-15)/30). Which is the second smallest value? (a) -2/3 (b) 5 (c) f c Let h = -9.244 - 0.056. Let v = h - -9. What is the third biggest value in -0.5, 2, v? -0.5 Let u = 13/45 + -8/9. Let q = -8.6 - -9. Which is the second smallest value? (a) 1/4 (b) q (c) u a Let c = -6 - -1. Let k = 3 + c. Let g be 1 + (-2)/(4/3). What is the second biggest value in k, -1, g? -1 Let u = 31 + -27. Which is the second smallest value? (a) 1 (b) -5 (c) u a Suppose -12 = -w - 4*r, -5*w = -4*r + 5 - 41. Let n be w/45 + 2/9. Let f = -23/33 + 4/11. Which is the biggest value? (a) f (b) 1/2 (c) n b Let t = -17 + 55/3. What is the smallest value in t, 2/17, 2, 0.3? 2/17 Let u be ((-6)/(-9) - 0) + (-32)/30. Let y = -3 - 11. Let m be (24/y + 2)*1. Which is the second biggest value? (a) u (b) m (c) 2/11 c Suppose u - 44 = 3*u. Let h = 23 + u. Which is the third biggest value? (a) h (b) 0 (c) 0.2 b Let n = 10 - 14. Let l = -0.26 + 0.06. Which is the smallest value? (a) 2 (b) l (c) n c Let j = -0.065 - -1.065. Which is the second biggest value? (a) 4 (b) 0.21 (c) 1/6 (d) j d Let v be (6/15)/((-2)/(-20)). Which is the second smallest value? (a) 0.1 (b) v (c) 1 c Let g = 2 - 5. Let q = 5/3 - 1. Let o(r) = -2*r**3 + 3*r**2 + r - 2. Let s be o(2). Which is the second smallest value? (a) g (b) s (c) q a Let v = 131 + -131.2. Which is the biggest value? (a) -4 (b) v (c) 0.5 c Let y be (-3)/(-2)*(-12)/(-9). Let u = -4.08 + 0.08. Let i be 72/(-81) - (-1 - 1)/(-18). What is the smallest value in i, u, y? u Let y = -4 - 3. Let v = -211.8 + 212. Which is the biggest value? (a) v (b) -2 (c) y a Let i = -8 + 15.4. Let v = -7 + i. What is the biggest value in 2/7, v, 5? 5 Let i = -6.4 - -7. Let u = -0.7 + i. Which is the smallest value? (a) 5 (b) 2 (c) u c Suppose 2*p - 2 = -y, -2*y - 5 + 0 = p. Which is the third smallest value? (a) 0 (b) 1/2 (c) y (d) -0.4 a Let a = 1.06 - 1.56. Let z = 0 - 0.2. What is the third smallest value in 6/7, a, z? 6/7 Let v(g) = -g**3 - 4*g**2 - 5*g - 2. Let s be v(-3). What is the third biggest value in 0.4, s, 2? 0.4 Let k = -1793/7 - -256. Su
{ "pile_set_name": "DM Mathematics" }
3, what is -20000100200 + 1202102? -12221121021 In base 16, what is -19d6fcd - 4? -19d6fd1 In base 4, what is 2 + 32212212011? 32212212013 In base 4, what is 200033 - 322133? -122100 In base 16, what is -89b7b + -2? -89b7d In base 14, what is 3684cd - 4? 3684c9 In base 2, what is -11110000001100 + -110011011111? -100100011101011 In base 5, what is 1112242421244 + 10? 1112242421304 In base 9, what is -5813333 + -4? -5813337 In base 7, what is 2314 - -45536? 51153 In base 16, what is 886a4b5 - -8? 886a4bd In base 2, what is -11011010000110010011101 + 110100? -11011010000110001101001 In base 10, what is -58253710 + -3? -58253713 In base 10, what is 27743 - -3727? 31470 In base 4, what is -3301200 - -201? -3300333 In base 13, what is -ca81 + -30a? -1008b In base 6, what is 3001 - 330201? -323200 In base 15, what is -1581aa + -67? -158222 In base 14, what is 2b197 + 738? 2b8d1 In base 6, what is -222330034 + 112? -222325522 In base 8, what is -10 + 42170011? 42170001 In base 8, what is 7224410 + 4? 7224414 In base 11, what is aa89a27 + 5? aa89a31 In base 16, what is -2 - 32e41c? -32e41e In base 16, what is 25 - 16e2fe7? -16e2fc2 In base 2, what is -101 + 100101110101000001100000010? 100101110101000001011111101 In base 5, what is 31302 + 44410231? 44442033 In base 15, what is -4 + 138a60? 138a5b In base 3, what is 10 - 212001221110012? -212001221110002 In base 4, what is 330000233303 - -10? 330000233313 In base 13, what is a72b71 + 7? a72b78 In base 10, what is -2 - 230011? -230013 In base 4, what is -10012210 + -21333? -10100203 In base 10, what is -23920 + -25197? -49117 In base 4, what is -1301 - -31311213? 31303312 In base 16, what is b2fb + -f1? b20a In base 16, what is 123 + -261? -13e In base 7, what is -1265316556 - 0? -1265316556 In base 8, what is -130 + 106163? 106033 In base 6, what is -312144 - -223? -311521 In base 7, what is -2365 - 1636645? -1642343 In base 7, what is -50 - -24640216? 24640136 In base 6, what is -303355 + -35110? -342505 In base 7, what is -5123335 + 0? -5123335 In base 4, what is 30012101231 + 22? 30012101313 In base 10, what is 1286 - 547? 739 In base 14, what is -1438688 + 0? -1438688 In base 10, what is -23 + -99933? -99956 In base 9, what is -30 + 17160336? 17160306 In base 12, what is -2266 - 19b26? -20190 In base 10, what is -3379 + -477? -3856 In base 10, what is 1 - 37883137? -37883136 In base 7, what is -43152 - 11656? -55141 In base 4, what is 101130212 + 1202213? 102333031 In base 12, what is 16 - -7899a? 789b4 In base 12, what is b7 - -188251? 188348 In base 10, what is -2280 + -244206? -246486 In base 2, what is -10001000111 - -1011010111011000? 1011000110010001 In base 16, what is 14b13 + b4e? 15661 In base 15, what is 20069 - 19? 20050 In base 8, what is -2407 - 10063? -12472 In base 13, what is 14a390a - 3? 14a3907 In base 16, what is 0 - -407336? 407336 In base 3, what is -1201212120120011010 + -11? -1201212120120011021 In base 2, what is 11110010010001 + -10101001? 11101111101000 In base 3, what is 2122220112 + 21012? 2200011201 In base 12, what is -4 + 6662392? 666238a In base 3, what is -220201010 + 200200220? -20000020 In base 8, what is 1 + -175014371? -175014370 In base 9, what is -27 - -1042603? 1042565 In base 14, what is 192 + -183b? -1689 In base 7, what is -13453640 + 1? -13453636 In base 16, what is -12ce981 - 8? -12ce989 In base 8, what is 2 - 145014764? -145014762 In base 2, what is 101110000001 + -10010011011000000000? -10010010101001111111 In base 16, what is 1b2 - 2372? -21c0 In base 9, what is 2 + -1412222? -1412220 In base 10, what is -155 + 181353? 181198 In base 2, what is -10010101101011101 - -101100100? -10010100111111001 In base 8, what is -2037126 + -452? -2037600 In base 4, what is -100002 - -12112021? 12012013 In base 15, what is 11 + -7593d9? -7593c8 In base 13, what is -49225b0 - -17? -4922596 In base 15, what is 412d56 + 3? 412d59 In base 9, what is -1066 + 8655? 7578 In base 16, what is -ec01 + 11c? -eae5 In base 14, what is -ca04 + 1da8? -aa3a In base 15, what is 5b - -572981? 5729dc In base 2, what is -10000011010 - 10010110111000000111? -10010111001000100001 In base 9, what is -250 + 645242? 644882 In base 2, what is 11000110 + -1010000110100001001? -1010000110001000011 In base 4, what is -212212203 + 10320? -212201223 In base 15, what is 5 - -a9e99c? a9e9a2 In base 11, what is 10294372 - -2? 10294374 In base 7, what is 11322 + 2011? 13333 In base 8, what is 564 - -4500? 5264 In base 8, what is -5 - 21747332? -21747337 In base 7, what is -304453651 + -1? -304453652 In base 7, what is -2306564 - 16? -2306613 In base 8, what is -1211474 + 406? -1211066 In base 7, what is -552046032 - -12? -552046020 In base 8, what is -45560 + 3540? -42020 In base 16, what is 10b50b8 - 15? 10b50a3 In base 14, what is 5accca + -2? 5accc8 In base 15, what is -15d + c376? c218 In base 12, what is 1 + 373341b? 3733420 In base 5, what is 4 + 122133403? 122133412 In base 6, what is -13515304 + 40? -13515224 In base 13, what is -63 - -240c6? 24063 In base 12, what is -1a312a75 + -3? -1a312a78 In base 4, what is -2112231332 + -203? -2112232201 In base 6, what is -252 + -142413? -143105 In base 10, what is 196726696 - 2? 196726694 In base 13, what is -b + 11c5331? 11c5323 In base 3, what is -20001102011210011 - -11? -20001102011210000 In base 15, what is 3 + 24177? 2417a In base 8, what is 211743 - 754? 210767 In base 16, what is 20 - af446? -af426 In base 14, what is -1832d - -42? -182cb In base 11, what is -1334912 + -53? -1334965 In base 15, what is 33dd2777 + -5? 33dd2772 In base 16, what is 426 - ae8? -6c2 In base 8, what is -165151 - -6702? -156247 In base 2, what is -1000000100010100 - -1101001010111? -110011010111101 In base 13, what is -316265b - -12? -3162649 In base 11, what is 5068 - -1388? 6445 In base 5, what is 1023 - 304442? -303414 In base 11, what is 0 - 34a508? -34a508 In base 4, what is -1231003 + 10233223? 3002220 In base 5, what is -11104413 + 0? -11104413 In base 13, what is 1ba1b8 + -1a? 1ba19b In base 4, what is 10 + -210233323013? -210233323003 In base 13, what is -19b9a7 - b? -19b9b5 In base 4, what is -11 + 123201211322? 123201211311 In base 9, what is -443 - 23385? -23838 In base 16, what is 432 - -7f? 4b1 In base 11, what is a0 + 947974? 947a64 In base 14, what is 37608 - 40? 375a8 In base 12, what is a418 - 1245a? -4042 In base 16, what is 6 + 4acd4? 4acda In base 14, what is -3 - 2a625931? -2a625934 In base 14, what is -2c0ba0 + -d? -2c0bad In base 11, what is 0 - 798334? -798334 In base 11, what is 2996 - 16931? -13a46 In base 16, what is -2d811e5 - -3? -2d811e2 In base 9, what is 333466 + 215? 333682 In base 5, what is -2140143 + 1333? -2133310 In base 13, what is -19a + 12a5a? 12890 In base 6, what is -13052 - 3401? -20453 In base 5, what is -410431 - -223304? -132122 In base 11, what is -1a - -274040? 274021 In base 3, what is 12201122201212111 + 12? 12201122201212200 In base 7, what is -1206012 + 6? -1206003 In base 15, what is 5b + 1082? 10dd In base 14, what is -19d7 - 62? -1a59 In base 5, what is 220 + -14032014? -14031244 In base 5, what is 20 - -24311423332? 24311423402 In base 12, what is 8764b + -31? 8761a In base 7, what is -4255342641 - 0? -4255342641 In base 11, what is -57a665 + 119? -57a547 In base 8, what is 2423 - -16071? 20514 In base 6, what is -42540 - 21411? -104351 In base 3, what is 12012012102 - 100120? 12011211212 In base 5, what is -122 - -110401222? 110401100 In base 4, what is 3 - -12233300031203? 12233300031212 In base 6, what is 1 - -13321052440? 13321052441 In base 10, what is 4 - 513959? -513955 In base 4, what is -210 + -23020320020? -23020320230 In base 5, what is 1113 + 233024? 234142 In base 5, what is -14402140242 + -2? -14402140244 In base 2, what is -1110101010 - -100111000101101101? 100110110111000011 In base 3, what is -1202020210020002 + 11? -1202020210012221 In base 8, what is 560057 + 104? 560163 In base 7, what is -4516 + 1624106? 1616260 In base 10, what is -10 - -483427? 483417 In base 14, what is -4 - c510c0? -c510c4 In base 12, what is 2490 - -2b90? 5460 In base 11, what is -2386410 - -4? -2386407 In base 14, what is -2c382a - -1b? -2c380d In base 12, what is -4 - aa7785? -aa7789 In base 3, what is 2201110
{ "pile_set_name": "DM Mathematics" }
29.1908 346104 times 0.11 38071.44 Work out -286174 * -1511. 432408914 -0.092 times -4955049 455864.508 What is the product of -639 and -5403? 3452517 Multiply -5237 and 8.5674. -44867.4738 Product of -0.283 and 6.7051. -1.8975433 -3541 times 599 -2121059 -0.104383 * 87 -9.081321 66.57807 times 3 199.73421 -24.45*355.04 -8680.728 0.3 * -88567280 -26570184 -22569031*-0.8 18055224.8 Calculate 363*-1.562. -567.006 Product of -0.14 and -1.99144. 0.2788016 Product of -257891 and -0.8. 206312.8 2072803 times -0.27 -559656.81 Work out -2845 * 709.3. -2017958.5 -0.196 times -0.06034 0.01182664 What is 62 times 5231.5? 324353 Multiply 38.2 and -2.05142. -78.364244 What is -0.3 times 2444133? -733239.9 Product of 15 and -363353.7. -5450305.5 190*-8280.4 -1573276 What is 3731.8 times 0.17453? 651.311054 5990*1665 9973350 -787186 * 157 -123588202 Work out -0.0255045 * -236. 6.019062 21.5 times 4711.495 101297.1425 Product of -7 and -0.407593. 2.853151 Calculate -367*1010907. -371002869 100149*0.0071 711.0579 What is 898 times -9709? -8718682 26 times 4080975 106105350 What is the product of -280.4226 and -350? 98147.91 What is 12 times 1807670? 21692040 Calculate 202*-13516. -2730232 Calculate 74486*81. 6033366 What is 45 times -1083809? -48771405 What is the product of 419 and 92453? 38737807 -790658*-10 7906580 Product of 428637 and -0.0148. -6343.8276 What is the product of 0.0855009 and -0.07? -0.005985063 What is -178825473 times -0.3? 53647641.9 Calculate 9.8*8.905. 87.269 What is 5 times -7263.6851? -36318.4255 Multiply 266130 and 3.61. 960729.3 7803584 times 0.3 2341075.2 1884912 * -21 -39583152 -0.35*-2584242 904484.7 -20011 * 0.7 -14007.7 Work out -3692 * -1088.46. 4018594.32 Multiply -0.05 and 6066140. -303307 Multiply -152280 and 0.003. -456.84 What is -0.5 times -4446588.3? 2223294.15 30 times 305.41179 9162.3537 -0.04 * 320458 -12818.32 -95 times 68.5043 -6507.9085 -6404*22.708 -145422.032 Multiply 0.018 and -0.0634426. -0.0011419668 Calculate -2*-43452.69. 86905.38 What is 111 times -2927? -324897 649 times -0.1787 -115.9763 -0.04 * 49189698 -1967587.92 -4.73476 * -602 2850.32552 -1362578.59*1 -1362578.59 -185846 * 481 -89391926 What is the product of 101.55 and 0.07336? 7.449708 Product of -2882 and -12030. 34670460 0.181*-1632.95 -295.56395 What is the product of 0.036 and 147017.14? 5292.61704 Work out 0.4 * -8116168. -3246467.2 17*-0.15582 -2.64894 Calculate 0.61*2866753. 1748719.33 Multiply 11136643 and 0.03. 334099.29 -31 times 2617703 -81148793 -52.5 * 6988.5 -366896.25 Work out -102 * 109061.2. -11124242.4 0.6921 times 111.6 77.23836 Multiply -0.05192 and 1062. -55.13904 What is the product of -221.18 and 172? -38042.96 -2*-1.8297463 3.6594926 1.8437284 times 15 27.655926 Work out -4 * -34207. 136828 Multiply 0.08 and 1971848. 157747.84 -355*-12894 4577370 Product of -28198.2 and 0.653. -18413.4246 Product of 28 and -0.450555. -12.61554 -175.64 times -1738 305262.32 158.7191274 times -3 -476.1573822 Multiply -0.02851 and 27183. -774.98733 What is the product of 22821 and -0.17? -3879.57 What is the product of -11325.4831 and 4? -45301.9324 Product of -138629 and 126.7. -17564294.3 Product of 68 and -33105. -2251140 -322.00246 times 0.2 -64.400492 What is 2.76551943 times -3? -8.29655829 Work out 1.3621439 * -17. -23.1564463 18909 * 700 13236300 What is -2 times 160323.55? -320647.1 212299*855 181515645 Work out 43 * 0.0541227. 2.3272761 -541.48935 times 0 0 0.243*-21.8521 -5.3100603 Multiply -8.826 and 1.8578. -16.3969428 0.1 times -706487 -70648.7 17123*199.6 3417750.8 Multiply -0.03 and 0.834815. -0.02504445 Multiply 0.06 and 4467667. 268060.02 Product of -5 and -82.709621. 413.548105 Work out 88386 * 0.14. 12374.04 Multiply -2079475 and -14. 29112650 Product of 207.47 and -0.4267. -88.527449 Multiply 700587 and -1.2. -840704.4 11.634829 times 4 46.539316 -2 times -16837420 33674840 What is the product of 94.5 and 7306? 690417 -10 times 173.4164 -1734.164 -477 * -17427 8312679 Work out -11.5 * 93.524. -1075.526 What is -1.5 times -0.282281? 0.4234215 -0.005238 * 0.045 -0.00023571 Product of -1980944 and 167. -330817648 What is 2 times -487328? -974656 Work out 377 * -1.156011. -435.816147 What is the product of 120.45792 and -1.3? -156.595296 -89353*3.75 -335073.75 -15969 * -680 10858920 What is the product of 2127.899 and 21? 44685.879 1606349*-94 -150996806 Calculate 0.32691865*4. 1.3076746 Calculate -15.51*-67946. 1053842.46 19*-2046627 -38885913 1 times 10890153 10890153 What is -3499 times -0.03779? 132.22721 Work out 0.240251 * -3.3. -0.7928283 Product of -0.001 and -167.9393. 0.1679393 0.94383 times -0.408 -0.38508264 Product of -10311 and -13146. 135548406 What is -1768689 times 127? -224623503 Multiply -0.011 and 153432.54. -1687.75794 343427602*0.5 171713801 Work out 0.057 * -34.768. -1.981776 What is the product of 0.043 and 1522178? 65453.654 Calculate -2905.981*15. -43589.715 What is 2152.485 times -0.0596? -128.288106 15492371 * 0.6 9295422.6 Product of -2 and 2124.427. -4248.854 Calculate 2.2029*11. 24.2319 What is 7588 times -1420? -10774960 What is the product of 369706275 and 0.4? 147882510 Work out 6.2345443 * 5. 31.1727215 2626151 times 4 10504604 Multiply -1.7 and -443770. 754409 1092 * -125.28 -136805.76 -0.141 * -145005 20445.705 1*23543833 23543833 47611759 times -14 -666564626 0.9 times -91707324 -82536591.6 Product of -51.27703 and -0.11. 5.6404733 Work out 2.57 * 2524.9. 6488.993 -1577 * 10.861 -17127.797 -23718.261*-0.4 9487.3044 Product of -3259 and -23056. 75139504 Multiply -4 and 1.2875768. -5.1503072 -0.4 times 2.2777964 -0.91111856 -0.1 * -24.220164 2.4220164 0.5 times -453973641 -226986820.5 6917 times -5.237 -36224.329 240042*0.11 26404.62 What is -0.1 times 1108.9725? -110.89725 What is 32 times 723242? 23143744 What is the product of 0.158581 and -1.1? -0.1744391 Multiply 34721467 and 2.2. 76387227.4 Work out -634425 * 0.13. -82475.25 Multiply -4262.3 and 108. -460328.4 Product of 222076294 and -2. -444152588 Product of 2.064 and 1171. 2416.944 2446*1.56 3815.76 0.52*-7131527 -3708394.04 Calculate -0.3*82142. -24642.6 -70193 * 554 -38886922 -0.097 * 2652.6 -257.3022 -10.58244*131 -1386.29964 What is the product of 19.4519006 and -0.4? -7.78076024 What is 9122515 times -0.4? -3649006 Work out -9767709 * -18. 175818762 186.446304 * 0.5 93.223152 -0.8617828*-3.5 3.0162398 What is 37 times -16.66097? -616.45589 -940.05*0.0094 -8.83647 What is 672 times 259? 174048 Work out 1622 * -2653. -4303166 What is the product of -0.5 and 42233794? -21116897 Calculate -19692*1098. -21621816 -0.1 * 294576 -29457.6 1167 times -1.2406 -1447.7802 186667 times -69 -12880023 0.093 * -26466 -2461.338 Product of 34 and 949508. 32283272 Calculate -0.1*34106789. -3410678.9 What is the product of -2.256 and 0.040681? -0.091776336 Multiply 237 and -18509. -4386633 Product of 0.04 and -31978629. -1279145.16 What is -1315654.8 times 0? 0 What is the product of -23745 and -15097? 358478265 Product of -7.4 and 11.687. -86.4838 Work out -6115.48 * 44. -269081.12 Multiply 2 and 64542040. 129084080 What is 0.8078091 times 0.09? 0.072702819 Multiply -199304079 and -0.4. 79721631.6 Work out 386.3505 * 10. 3863.505 What is the product of 11202.2 and 2613? 29271348.6 Calculate 0.286424*3269. 936.320056 Work out 5 * 146131793. 730658965 2.0496*-408 -836.2368 Product of -0.07 and -1.2349. 0.086443 Multiply -768413 and -1. 768413 -19424 times 78 -1515072 -13091*-1.4311 18734.5301 Multiply 2 and 350549.165. 701098.33 Work out -0.01 * -5260.6041. 52.606041 Work out 451200 * -0.119. -53692.8 What is the product of 0.2377 and -809? -192.2993 Multiply 184167 and -204. -37570068 Calculate 53*-10704.179. -567321.487 10035660 times 0.3 3010698 Work out -5068271 * -16. 81092336 What is the product of 90649 and 500? 45324500 Work out 4 * 34671648. 138686592 Calculate 4806.779*3. 14420.337 -27*6.3064 -170.2728 What is 0.0044 times -1492682? -6567.8008 What is the product of -0.051 and 471550? -24049.05 Work out 0.816 * 238542. 194650.272 2.6700056*-0.3 -0.80100168 0.1 * 1.8914439 0.18914439 Calculate -1373.18*-191. 262277.38 What is 0.33 times -2022868? -667546.44 What is 0.1 times 0.51924842? 0.051924842 What is the product of -187763 and 1
{ "pile_set_name": "DM Mathematics" }
((7 + -7)*(0 - 1))/k. Solve t*h = 2*h + 2 for h. -1 Let q be 10*(116/(-20) - -5). Let p be (-60)/q + 2/4. Solve -4*l = -4 - p for l. 3 Let i(u) = -74*u - 936. Let x be i(-13). Solve x*s = 85 - 59 for s. 1 Let o = -22356 - -22363. Solve -861 = o*y - 889 for y. 4 Let d be 111/(-148)*(1 + -9). Solve 82*o = 85*o - d for o. 2 Suppose -5*w + 60 = 5*u - 10*w, 0 = -w - 2. Solve u = 4*f + 30 for f. -5 Let x = 2168 + -2162. Solve -x = 27*h - 28*h for h. 6 Suppose -6*x + 2*x + 38 = -2*o, x - 4*o = 13. Suppose x*t = -2*t + 561. Solve 2*r + 53 - t = 0 for r. -1 Let p be 6432/36 - (50/(-6))/(-5). Suppose -2*n + 0*n + 5*x + 118 = 0, -3*n + p = -3*x. Solve n = 5*s + 49 for s. 2 Let h = -4144 - -4156. Solve -h*x - 24 = -0*x for x. -2 Let l = -269 - -184. Let h = l - -94. Solve v = -h + 7 for v. -2 Let d = 8430 + -8255. Solve -d + 127 = -12*q for q. 4 Let t = -21 - -8. Let h = t + 16. Suppose -3*s + 16 = h*i - 11, -3*s + 3 = -i. Solve -3*m = -i*m for m. 0 Let q be 3/(81/6) + 40/(-18). Let f(p) = p**2 + 5*p + 1. Let w be f(q). Let a be 2*(0 + 3)*w/(-15). Solve 5 + 5 = -a*d for d. -5 Suppose 10*i = 6*i - 20. Let l be -1 - i - (-4 - -3)*-3. Solve -4*f + l = 13 for f. -3 Suppose 4*a = 0, a - 5*a = -u + 117. Let s = u - 113. Solve -f - s*f = -25 for f. 5 Suppose 124 = -587*o + 649*o. Solve 0 = o*m + 12*m + 98 for m. -7 Suppose 3196*c - 3206*c = -370. Solve 29*h = -c - 166 for h. -7 Suppose -34*z + 36 = -97 - 3. Solve -22*m - z = -18*m for m. -1 Let j = 12 + -4. Suppose -4*w + 36 = -j. Let y(l) = l**3 - 11*l**2 + 14*l - 37. Let m be y(10). Solve 0 = -4*x + m - w for x. -2 Let w(c) = -16*c - 63. Let j(l) = 8*l + 33. Let b(d) = 13*j(d) + 6*w(d). Let i be b(-6). Solve -5*h + i + 2 = 0 for h. 1 Let c(x) = 25*x + 4. Let y(h) = 52*h + 9. Let u(k) = 13*c(k) - 6*y(k). Let p be u(1). Solve p*l + 20 = 7*l for l. -5 Suppose -g + g + 6*g = 0. Let c be g - ((-88)/16 + (-5)/(-2)). Suppose 2*n - n + 4*y - 2 = 0, 0 = 3*n + 3*y - 6. Solve -c*x = -n - 1 for x. 1 Let z(w) = 4*w**2 - w - 3. Let u be z(5). Suppose -3864 = -19*v - 23*v - 0*v. Let m = v - u. Solve m = -9*p + 4*p - 5 for p. -1 Suppose -10651 = -6*s - 10603. Solve -102 = -s*v - 86 for v. 2 Suppose -2*d + 32 = -978*f + 973*f, -5*d = -4*f - 80. Solve -4*u = -0*u + d for u. -4 Let z = -15302 - -15302. Solve 17*w - 26*w + 54 = z for w. 6 Suppose 0 = -g + 2*a + 21, -g - a + 5 + 10 = 0. Suppose 9*c - g*c = -416. Solve c*s = 50*s for s. 0 Let z = -15 - -24. Solve z*h + 2*h = 44 for h. 4 Let k be (123/9)/(-1) + (-4)/(-6). Let j = 25 + k. Solve 0 = 3*f - 3 + j for f. -3 Let s = -174 - -43. Let r = s + 306. Suppose 2*i = -5*i + r. Solve 0 = -b + 6*b - i for b. 5 Suppose -4*o + 15*m + 34 = 10*m, -2*o + 3*m + 14 = 0. Suppose 3 = k + 3*f, -5*k + 10*k - f = 31. Solve -2*n - o = -k*n for n. 4 Let z be 3/(-7) - 594/(-63). Let u be (84/(-210))/((-2)/20) + 0/3. Solve -z*r = -u*r - 5 for r. 1 Let z be 0/((15 - 12)*(-1)/3). Suppose z = -7*q - 298 + 396. Solve 10*c - 4 = q*c for c. -1 Suppose -19 = -g + 2*q, -40*g - 66 = -44*g - 2*q. Solve -3*f - g = -29 for f. 4 Let c(d) = d**2 + 9*d - 108. Let j be c(7). Suppose 69 + 31 = j*w. Solve 4*x - 13 = -w for x. -3 Suppose -33*g + 37*g + 3*u = 60, -5*u = -3*g + 16. Solve 0 = -25*q + g*q - 91 for q. -7 Suppose -1962*v + 1935*v + 1424 = -1897. Solve -133 = -v*r + 104*r for r. 7 Let a(b) = -6*b**2 - 30*b + 13. Let p be a(-5). Solve p*j - 58 = 7 for j. 5 Suppose 32 = 2*x + 5*w, 4*w - 6*w + 8 = 0. Let h = -33 - 143. Let v = 176 + h. Solve v = 4*g - x*g - 2 for g. -1 Let y(o) = o**2 + 26*o + 71. Let r be y(-23). Suppose l = -5*g - 16, -16 = -r*l + 7*g - 5*g. Suppose -3*u = -2 - l, 0 = -5*c - u + 87. Solve 5*v + c = -8 for v. -5 Let p be ((-6960)/5104)/(5/(-66)). Solve 3*x - p = -0 for x. 6 Let r(y) = -3*y**2 + 74*y - 241. Let m be r(4). Solve 140 = -m*a + 27*a for a. 7 Suppose -3*s + 4979 + 4090 = -4*y, -5*s + 15131 = -4*y. Solve -12*n = -s + 3007 for n. 2 Suppose -2*y + 175 = -5*f, 4*f + 38 + 119 = 5*y. Let m = 36 + f. Suppose o + 3*k = -6, -24 = -o - 4*o + m*k. Solve 2*i = 5*i - o for i. 1 Let f be (-12)/(-54) + 48/81*3. Suppose -5*n - 5*j = -30, -f*j + 5*j = 9. Solve -n*b + 6 = -0 for b. 2 Let a(k) = k**3 + 2*k**2 - 2*k + 172. Let r be a(0). Let d = -170 + r. Solve -15 = -3*i - d*i for i. 3 Suppose 0 = u - 9 + 6. Let v(x) = 4*x + 21. Let t be v(-5). Let c be (t - (-57)/(-12))/(3/(-4)). Solve 0 = c*p - 7 - u for p. 2 Let x = -22 + 23. Let n be 37*(0 + x) + (-2)/(-1). Let g = 39 - n. Solve g = u + 5 - 8 for u. 3 Suppose -7*r - 2*r + 36 = 0. Suppose -3*p + 52 = -r*w, -5*p - 5*w + 30 = -4*p. Suppose -k = -0*k. Solve 4*i + i - p = k for i. 4 Let p(b) = b**3 - 37*b**2 - 33*b - 1741. Let l be p(39). Solve -2*n + 128 = l*n for n. 8 Let z = -10 - -13. Suppose 44 + 25 = -z*w. Let c = w - -23. Solve -g - 6 + 1 = c for g. -5 Let q(z) be the first derivative of z**3 + 14*z**2 - 51*z - 177. Let s be q(-11). Solve 14 - s = 5*p for p. 2 Suppose 472 + 986 + 622 = 20*u. Solve u = -115*s + 128*s for s. 8 Let m(n) = n**3 + 12*n**2 + 18*n - 24. Let l be m(-10). Let d be (-5 - -4 - l)/(12/8). Solve d = -3*z - 1 for z. -1 Suppose 19*v = 11745 - 10871. Solve 50*p - v*p + 20 = 0 for p. -5 Suppose -2*c = 3*z - 23, -2*c - 24 = -2*z + c. Let x(j) = 2*j**2 - 15*j - 27. Let a be x(z). Solve a = 24*o - 26*o - 4 for o. -2 Let v(m) = -19*m**3 - 7*m - 9. Let l be v(-1). Solve -73 = -l*i - 209 for i. -8 Let m = -77 - -80. Suppose -2*u + 46 = 4*r, -2*u = 2*r - m*u - 17. Solve -5*x = -0*x - r for x. 2 Let t(b) = -b**3 - 26*b**2 - 42*b - 385. Let c be t(-25). Solve -30*w = -22*w + c for w. -5 Let g be (-63)/27*(-741)/(18 - 5). Solve -g*u + 139*u = -30 for u. -5 Let v(q) = -21*q**2 + 6 - 3 + 22*q**2 + 6 + 8*q. Let s = 42 + -49. Let f be v(s). Solve -7*c = -f*c - 20 for c. 4 Let o = 70 - 16. Let a be o/9 - (0 + (-4 - -2)). Solve a*p = 11*p - 9 for p. 3 Let p(z) = 105*z - 20 + 3 + 97*z - 199*z. Suppose 0*u - 3*r + 16 = 4*u, r - 3 = -u. Let t be p(u). Solve -2*k - t = 2 for k. -3 Let n(l) = l**2 + 9*l + 20. Let s be n(-6). Suppose -2*w = s*w + 6*w. Solve w = 4*r - 47 + 63 for r. -4 Let x(m) = 62*m**2 + 1243*m + 60. Let u be x(-20). Solve u = 455*b - 438*b + 119 for b. -7 Suppose -70 = 3*b - b. Let k = -30 - b. Suppose 8 = -3*j + 35. Solve k*w - 2*w = -j for w. -3 Let y(t) = t**3 + t**2 - 7*t. Let b be y(-3). Suppose 3*d + b*s - 48 = 0, 2*s - 80 = -5*d - 15. Solve 0*z = d*z - 33 for z. 3 Suppose 15*x + 175*x - 2200 = -85*x. Solve -f - 5*f = x*f for f. 0 Let p(l) = 2*l - 5. Let y be p(4). Let k(q) = 7*q**2 - 7*q - 5. Let x be k(2). Solve -y*i = -x*i - 12 for i. -2 Suppose -31 = 3*s - 40. Let q be (-8)/120*-5 - (-5)/s. Suppose 3*p - 3*a = 42, -20 = p - 6*p - 5*a. Solve q*y = -p + 1 for y. -4 Let u be (-48)/36 + (-3)/(-12) + 26/24. Solve u*h - 2*h = 11*h for h. 0 Suppose -3*b - 3*b = 36. Let z = b + -5. Let h(o) = -o**2 - 12*o - 8. Let i be h(z). Solve 5*t - i*t = 10 for t. 5 Let y(o) = -o**2 + o. Let w be y(0). Suppose w = 3*n - 2*n - 3, 0 = q + 3*n - 16. Solve 0 = q*u + 29 - 8 for u. -3 Suppose 259*c = 256*c - 3*t + 78, -89 = -4*c + t. Solve 36 = -c*g - 33 for g. -3 Suppose d + 0*o + 3*o + 4 = 0, 3*o + 16 = 5*d. Let t be (4 + (-160)/28)/(d/(-14)). Suppose t*s = 13*s. Solve s = 2*h + 4 - 0 for h. -2 Let u = -10 + 5. Suppose 0*l = -l + 2*p, 2*l - p + 12 = 0. Let t = u - l. Solve -t*m - 3 = -15 for m. 4 Suppose 2556*x - 2547*x = 3384. Solve 390*y - x*y + 84 = 0 for y. -6 Let z = 33 + -15. Suppose z*r - 29*r = -154. Solve 8 - 22 = r*o for o. -1 Let f = 2 + -2. Suppose 4*j = 2*b + 3 - 167, f = 5*j + 5*b + 205. Let g = -37 - j. Solve -q - 5 = g*q for q. -1 Suppose -6970 = -81*o + 14981. Solve 4*q - o + 267 = 0 for q. 1 Suppose 422*i + 466*i - 356*i - 9576 = 0. Solve -2002*n + 1996*n - i = 0 for n. -3 Let f be 430*(156/(-420) - (-12)/21). Solve -65*c = -22*c + f for c. -2 Suppose 30 = 2*q - 2*f, -54*q - f = -59*q + 95. Let w = 31 + -18. Solve w*l + q = 18*l for l. 4 Suppose -64*m + 139*m - 4200 = 0. Solve 24*s - m - 16 = 0 for s. 3 Suppose 0 = -12*t + 7842 - 7818. Solve -23*k + t = -24*k for k. -2 Suppose 100 - 433 = -5*c + 2*v, 2*v = 4*c - 268. Solve -60*j + c*j - 15 = 0 for j. 3 Let f = 144 + -136. Let c be f/3*-2*(-6)/16. Solve -1 - 3 = c*v for v. -2 Let w = 12 + -2. Let x be (-13)/(-13) - 165/(-3). Suppose -x*j + 2 = -55*j. Solve -j*q - w = -0*q
{ "pile_set_name": "DM Mathematics" }
15. Calculate i(-48). -7 Let w(b) = 2*b**3 + 20*b**2 + 439*b - 3740. Determine w(6). 46 Let k(w) = 4426*w - 92960. What is k(21)? -14 Let z(h) = 15*h**3 - h**2 - 12*h - 18. Give z(2). 74 Let d(x) = -5*x**2 + 681*x + 5452. Give d(148). -3280 Let l(y) = -2*y**3 + 151*y**2 + 388*y + 331. Determine l(78). 175 Let s(i) = 147*i + 337. Give s(-3). -104 Let w(d) = -d**3 - 141*d**2 - 1304*d + 176. Determine w(-131). -610 Let a(z) = z**2 - 13*z - 3334. Give a(73). 1046 Let v(g) = -92*g**3 - 38*g**2 + 68*g - 30. What is v(1)? -92 Let i(b) = -946*b + 5148. Determine i(6). -528 Let o(r) = -132*r**2 - 791*r + 25. Calculate o(-6). 19 Let r(t) = -1686*t - 33202. What is r(-20)? 518 Let k(i) = -20*i**2 + 56*i + 999. Calculate k(-13). -3109 Let r(w) = -9*w**3 - 22*w - 42. Give r(-5). 1193 Let k(y) = 2317*y - 14054. Determine k(6). -152 Let n(h) = -31*h**3 + 76*h**2 - 144*h + 3. What is n(2)? -229 Let w(p) = -382858*p - 1914299. Calculate w(-5). -9 Let r(y) = 7524*y + 130371. Determine r(-17). 2463 Let m(j) = -j**2 + 20889*j + 480747. Determine m(-23). -229 Let g(q) = -270813*q - 541601. Calculate g(-2). 25 Let d(n) = -73*n**2 - 9488*n + 228. Determine d(-130). -32 Let w(k) = 21025*k - 21078. Determine w(1). -53 Let r(m) = -3142*m + 25197. Calculate r(8). 61 Let y(v) = 8542*v - 76840. What is y(9)? 38 Let o(j) = -2704*j - 48689. What is o(-18)? -17 Let j(f) = -84*f**2 + 821*f + 21. Determine j(10). -169 Let v(w) = 4*w**2 + 68*w - 7. Give v(-10). -287 Let q(x) = -4*x**3 + 86*x**2 + 383*x - 5639. Give q(23). -4 Let o(c) = -5*c**2 + 806*c + 5635. Give o(-7). -252 Let g(j) = 3*j**3 + 246*j**2 - 30*j - 2453. Calculate g(-82). 7 Let n(v) = -v**3 + 46*v**2 - 155*v - 8602. Give n(34). 0 Let h(y) = -17*y**2 + 170*y + 1216. Give h(-7). -807 Let m(i) = -43*i**2 - 552*i - 1756. Give m(-7). 1 Let r(z) = 2421*z + 21824. Determine r(-9). 35 Let j(d) = 8231*d - 592546. What is j(72)? 86 Let n(r) = -2*r**3 - 164*r**2 + 2*r + 315. What is n(-82)? 151 Let p(j) = 136*j**2 - 1125*j - 4. Determine p(8). -300 Let p(d) = 25*d**2 - 1826*d + 7022. Calculate p(69). 53 Let u(f) = 10856*f + 1715252. Determine u(-158). 4 Let i(o) = 12*o**2 - 27*o - 319. Determine i(-13). 2060 Let m(b) = -443*b**3 - 7542*b**2 - 193*b - 85. Determine m(-17). 17 Let y(i) = 177556*i - 4083815. What is y(23)? -27 Let y(j) = 527566*j + 10551326. Give y(-20). 6 Let t(n) = -86486*n + 1383783. Give t(16). 7 Let v(q) = q**3 - 242*q**2 - 8*q + 1941. Determine v(242). 5 Let w(c) = 4*c**2 + 11*c + 105. Determine w(0). 105 Let h(g) = g**3 - 94*g**2 - 84*g + 7911. Give h(94). 15 Let j(b) = -7*b**2 - 41947*b - 41941. Determine j(-1). -1 Let h(m) = -35793*m + 251861. What is h(7)? 1310 Let f(o) = 330*o**2 - 2585*o + 7721. Calculate f(3). 2936 Let i(j) = -6*j**3 - 172*j**2 + 332*j + 22. Give i(2). -50 Let x(i) = -3*i**3 + 58*i**2 + 203*i - 3248. Give x(20). 12 Let v(k) = -747*k + 39318. Determine v(53). -273 Let i(c) = -2579*c + 98045. Calculate i(38). 43 Let g(f) = -24*f**2 + 96*f + 403. What is g(9)? -677 Let w(c) = 547*c + 134572. Determine w(-246). 10 Let c(x) = x**2 - 55*x + 1322. What is c(-31)? 3988 Let d(j) = -49*j - 540. Determine d(-5). -295 Let g(b) = -26*b**2 - 173*b + 253. Give g(2). -197 Let h(c) = -8*c**2 + 1467*c + 11640. What is h(-8)? -608 Let m(g) = 4*g**2 - 69*g - 163926. Calculate m(-194). 4 Let g(q) = -5*q**2 - 1158*q - 10913. Calculate g(-224). -2401 Let n(w) = w**3 + 9*w**2 - 23*w + 362. Calculate n(-13). -15 Let x(j) = -j**3 + 135*j**2 + 5950*j - 9. What is x(170)? -9 Let x(i) = -7634*i - 206108. What is x(-27)? 10 Let a(r) = -80*r - 15811. Calculate a(-186). -931 Let h(j) = j**2 + 68*j + 1072. Calculate h(-44). 16 Let l(d) = 84796*d**2 - 1187158*d + 199. Determine l(14). 3 Let w(c) = -c**3 + 246*c**2 - 700*c - 113. Give w(3). -26 Let l(f) = 33*f**2 + 1658*f + 7281. What is l(-5)? -184 Let l(m) = 3017*m + 96507. Determine l(-32). -37 Let n(q) = 10*q**2 - 41960*q + 41959. What is n(1)? 9 Let l(w) = 16641*w + 49925. Determine l(-3). 2 Let w(f) = -4031*f - 32266. Give w(-8). -18 Let u(v) = -11607*v - 185963. Calculate u(-16). -251 Let g(f) = 1016*f - 717288. What is g(706)? 8 Let o(t) = t**2 + 393*t - 21565. Determine o(49). 93 Let l(f) = -f**2 - 52*f - 900. Give l(-14). -368 Let q(i) = 25*i**2 - 44*i - 55. What is q(3)? 38 Let f(o) = 11*o**3 + 1550*o**2 - 135*o + 817. Calculate f(-141). -29 Let x(g) = -147*g - 7859. What is x(-53)? -68 Let z(l) = 10*l**2 + 1820*l - 78467. Calculate z(36). 13 Let m(w) = -4222*w + 17258. Calculate m(4). 370 Let q(j) = -636*j + 24701. Give q(39). -103 Let k(q) = -q**2 - 23880*q - 310284. Determine k(-13). -13 Let a(f) = -6*f**2 - 1061*f - 1017. Calculate a(-176). -137 Let i(j) = j**2 - 3*j - 1148. Calculate i(35). -28 Let d(y) = -5*y**2 - 6*y - 1. Determine d(3). -64 Let t(b) = -1545*b + 9138. Determine t(6). -132 Let b(y) = -31789*y + 2924626. Calculate b(92). 38 Let w(q) = 489*q**2 - 1542*q + 257. Determine w(3). 32 Let n(f) = -f**3 + 696*f**2 + 684*f + 9063. What is n(697)? 2 Let q(w) = w**3 + 7*w**2 - 1448*w - 13012. Give q(-9). -142 Let m(o) = -628*o**2 - 33908*o + 213. Give m(-54). -3 Let p(c) = 225199*c + 2251983. What is p(-10)? -7 Let l(h) = -h**2 - 3057*h - 246844. Calculate l(-83). -2 Let l(i) = 55958*i + 223839. What is l(-4)? 7 Let c(i) = i**2 - 22*i - 98288. Calculate c(325). 187 Let s(v) = 7*v**2 - 400*v - 8952. Calculate s(-24). 4680 Let k(p) = -1873986*p - 1873995. Give k(-1). -9 Let z(x) = x**3 + 120*x**2 - 1819*x - 789. Determine z(14). 9 Let y(n) = 127146*n - 2924377. Calculate y(23). -19 Let y(f) = -3913*f - 46878. Calculate y(-12). 78 Let x(b) = -8*b + 1928. Determine x(241). 0 Let s(y) = y**2 - 7*y - 14378. What is s(-116)? -110 Let i(d) = -4*d**2 - 6523*d + 8. Determine i(0). 8 Let a(r) = 18753*r - 468825. What is a(25)? 0 Let m(l) = 3225*l - 270896. Calculate m(84). 4 Let p(w) = -w**2 + 736*w + 67076. Determine p(-82). 0 Let q(l) = -81*l**3 + 11090*l**2 + 943*l + 2202. What is q(137)? 10 Let k(s) = 5340*s - 197565. Give k(37). 15 Let w(f) = -1051968*f + 10519682. Determine w(10). 2 Let y(n) = 50*n**2 + 1173*n + 1177. Calculate y(-1). 54 Let q(u) = 164479*u - 6085716. Calculate q(37). 7 Let p(v) = -v**3 + 26*v**2 + 918*v + 4749. Calculate p(-15). 204 Let f(r) = r**3 - 384*r**2 - 787*r + 5783. Determine f(386). -7 Let o(q) = -3*q**2 + 537592*q + 7. What is o(0)? 7 Let l(y) = -5731*y + 68665. Determine l(12). -107 Let f(g) = -5*g**2 + 456*g - 1367. What is f(3)? -44 Let m(r) = 3*r**2 - 795*r - 35008. What is m(303)? -466 Let j(p) = 2*p**3 - 446*p**2 + 413*p + 6897. Determine j(222). 15 Let k(h) = -h**3 + 7*h**2 - 30*h + 82. Calculate k(3). 28 Let y(p) = -1200*p + 41881. Give y(35). -119 Let a(f) = 14675*f + 72683. What is a(-5)? -692 Let m(y) = 5*y**2 + 3306*y + 85. Give m(0). 85 Let p(k) = 2*k**3 - 138*k**2 - 112*k + 7767. Determine p(69). 39 Let f(h) = 27*h**2 - 1336*h + 1332. Give f(1). 23 Let m(j) = -7*j**2 - 42693*j + 256115. Determine m(6). -295 Let w(u) = 654*u**2 - 81095*u - 125. What is w(124)? -1 Let o(d) = 2*d**2 + 843*d + 58997. What is o(-333)? 56 Let w(a) = -2631*a - 14250. Give w(-4). -3726 Let m(o) = -o**3 - 2*o**2 - 3823*o - 7645. Determine m(-2). 1 Let m(p) = -313501*p - 3761986. Calculate m(-12). 26 Let g(a) = 8*a**3 + 17*a**2 - 67*a - 106. Give g(-3). 32 Let b(h) = -254095*h + 2795108. Calculate b(11). 63 Let o(w) = w**3 - 27*w**2 + 19389*w - 543676. Give o(28). 0 Let f(x) = 8*x**3 + 2*x**2 + 81*x + 296. Give f(-4). -508 Let p(y) = y**3 + 16*y**2 + 99*y + 2023. What is p(-12)? 1411 Let z(h) = 1166*h - 6877. Calculate z(6). 119 Let m(c) = -13*c**2 - 8355*c - 66024. What is m(-8)? -16 Let j(k) = 3*k**2 + 471*k - 404. Calculate j(-158). 70 Let i(y) = 20*y**2 - 33*y - 130. Calculate i(-5). 535 Let r(p) = -5796*p + 353626. What is r(61)? 70 Let m(v) = -28*v**3 + 7*v**2 + 534*v - 1678. Give m(3). -769 Let m(c) = -119*c**3 - 17*c**2 + 16*c + 35. Calculate m(2). -953 Let z(t) = 2925*t + 40751. Determine z(-14). -199 Let l(v) = -v**3 + 29*v**2 - 120*v + 1068. Determine l(25). 568 Let z(p) = 66*p**2 + 42*p + 87. Give z(-4). 975 Let p(h) = 12837*h + 1334826. Determine p(-104). -222 Let n(t) = -521*t + 16179. What is n(31)? 28 Let z(g) = g**2 + 34*g - 2193. Give z(34). 119 Let a(p) = -1095*p - 701891. What is a(-641)? 4 Let b(j) = -8*j**3
{ "pile_set_name": "DM Mathematics" }
+ -2)**2. 343/16 Simplify -4*(6*((sqrt(117)*1*2 - 1*(-1 + sqrt(117))) + (sqrt(26)/sqrt(2) + -1)*6*3))**2. -867168 + 102816*sqrt(13) Simplify (-1*5*(5 + (sqrt(171) + -5 - sqrt(171)) - -3*-4*sqrt(171)))**2. 615600 Simplify 5 + (0 + (sqrt(95)/sqrt(5) + sqrt(19))*-1 + sqrt(19) - (sqrt(171) + (sqrt(171) + -5 + sqrt(171) + sqrt(171))*-2))**2 + -2. -280*sqrt(19) + 3827 Simplify -2 + ((sqrt(833) + 2 - sqrt(833))*-1*-4 + (sqrt(833) - (3 + sqrt(833)))*-2 + 3)**2. 287 Simplify (-5*(-1*sqrt(891)*2 + -1 + sqrt(891)*1) + -3*((sqrt(891) - sqrt(891)*-1 - sqrt(891))*6 - (3 + sqrt(891)*-1)))**2. -4032*sqrt(11) + 228292 Simplify ((0 + 4*(sqrt(1125) + 2 + -4))*2)**2. -3840*sqrt(5) + 72256 Simplify ((4*(sqrt(66) - -5*sqrt(66)*2)*-2)/(sqrt(384) + -1*sqrt(384)*1 + sqrt(384) - sqrt(384) - -1*sqrt(384)*-6))**2. 1331/36 Simplify 3 + sqrt(18) + sqrt(18) + 1 + 5 + sqrt(24)/(-4*-4*sqrt(12)). 97*sqrt(2)/16 + 9 Simplify (2 + ((sqrt(75) + sqrt(75)*2)*6 - (1 + 1*sqrt(75)) - (sqrt(75) - sqrt(75)*-2*-2)*4) + 3)**2. 1160*sqrt(3) + 63091 Simplify 4*((sqrt(1800)*1 - sqrt(1800))/sqrt(6)*-5 + 4 + (-4*sqrt(147) + -4)**2 + sqrt(147)). 924*sqrt(3) + 9488 Simplify (sqrt(190) + ((sqrt(190)*5 + sqrt(190))*-1 - sqrt(190)) - 5*sqrt(190)*5)/(-6*5*sqrt(10) + sqrt(120)/sqrt(1452)). 341*sqrt(19)/329 Simplify -4*((((-3 + sqrt(76))*-3)**2 - sqrt(76)) + sqrt(76) + -2 + sqrt(76) + -5)*-4 + -1. -1696*sqrt(19) + 12127 Simplify ((-1*sqrt(143)*3)/(sqrt(11) - sqrt(1100)*-1))**2 + (sqrt(78)/(sqrt(2)*2))/(sqrt(432)*-2 + sqrt(432)). -sqrt(13)/24 + 117/121 Simplify (-4*(sqrt(84) + (sqrt(84) - (-4*sqrt(84) + sqrt(84))*-6)))/((1*sqrt(60))/sqrt(5)*-1). -64*sqrt(7) Simplify (5*sqrt(400) + (sqrt(32)/sqrt(200) - sqrt(4)))/((sqrt(10) + (sqrt(490)*-1 - sqrt(10)))/(sqrt(5)*2*-6)). 2952*sqrt(2)/35 Simplify (3 + (sqrt(15)/sqrt(5)*-4 + sqrt(18)/sqrt(6) + -4 - (3 + sqrt(12)*2 + -1)))**2. 42*sqrt(3) + 156 Simplify (sqrt(21)/(-2*sqrt(3)) - (sqrt(112))**2) + 4 - ((-2*sqrt(70) - sqrt(70))*-5)/(sqrt(360)*-1). -108 + 2*sqrt(7) Simplify ((-2*(sqrt(117) + -2*sqrt(117)) + 4*(sqrt(117)*1 + sqrt(117)))*-1)/(-3*((sqrt(90) + sqrt(90)*2 + sqrt(90) + sqrt(90))*6)/sqrt(10)) + 1. sqrt(13)/9 + 1 Simplify (-2*(2 + sqrt(128))*6)**2 + (-2 + sqrt(288) + sqrt(4)/(sqrt(6)/sqrt(3)))*3. 4647*sqrt(2) + 19002 Simplify (-6*5*(sqrt(1573)*-2 + sqrt(1573))*-1 + -4*-1*(sqrt(208) + sqrt(208)*2 + 0))**2. 1033812 Simplify (5*sqrt(120)/sqrt(27))/((sqrt(8) + sqrt(384)/sqrt(3))*-3). -sqrt(5)/9 Simplify -4*((sqrt(18)*-1)/sqrt(9) - (1*sqrt(128))**2 - ((sqrt(200) + (sqrt(200) - (-4 + sqrt(200) + sqrt(200))*3 - sqrt(200)))*-6)**2). -172796*sqrt(2) + 741248 Simplify ((5 + (-1*(0 + sqrt(800)) + sqrt(800) + sqrt(800))*6 + -1*sqrt(800) + -2 + 1)*1)**2. 800*sqrt(2) + 20016 Simplify 5*1*(((1*sqrt(1008) - sqrt(1008)) + 1 + sqrt(1008) + sqrt(1008)*2 + -4)*2)**2. -4320*sqrt(7) + 181620 Simplify (-5 + -4*((-5 + sqrt(1100) + -1 + (sqrt(1100) + 0 + sqrt(1100))**2 + -4)*3 + -1))*5. -263405 - 600*sqrt(11) Simplify (-2*5*(sqrt(1620) - 2*sqrt(1620)))/(5*sqrt(576)*-1*-2). 3*sqrt(5)/4 Simplify ((-2*-3*(-2 + sqrt(5))*5)**2 - (((-2*sqrt(20))/sqrt(4) - sqrt(20)/sqrt(4)*-5)*6)**2) + -2. -3600*sqrt(5) + 6478 Simplify -5*((-4*(sqrt(405) + 0) - (0 + sqrt(720))*-3) + -5)**2 + 5. -120 Simplify (((sqrt(85) - (sqrt(85) + 2*1*sqrt(85))) + (sqrt(85) - -5*2*sqrt(85)))/((4*sqrt(100)/sqrt(4))/sqrt(5)))**2*-5*-1 + 1. 6901/16 Simplify 4*((1 + sqrt(588) + -1)**2 + -1) + -4 + -5. 2339 Simplify (1*sqrt(480) + sqrt(480) - -1*sqrt(1470))/(3*sqrt(30)/(sqrt(5)*-2)) + -1. -10*sqrt(5) - 1 Simplify (((sqrt(112)*6)/sqrt(2)*-1)/((sqrt(98)*-2*-3 - sqrt(98)) + sqrt(98) + 1*sqrt(98)*-6 + sqrt(98) + sqrt(98)))**2. 36/7 Simplify -3 + (0 + (0 + (sqrt(425) + -1)*-2 - ((sqrt(425) + (sqrt(425) + 1 - sqrt(425)))*4 - (2 + (0 + sqrt(425) - sqrt(425) - sqrt(425) - sqrt(425))))))**2. 27197 Simplify (-5*((sqrt(4320) - ((sqrt(4320) - sqrt(4320)*1)*-6 - sqrt(4320) - sqrt(4320)) - sqrt(4320)) + sqrt(4320)))/((sqrt(198)/(sqrt(44)/sqrt(4)))/sqrt(192)). -1440*sqrt(5) Simplify -1 + 2*((sqrt(48) + 1 + -2)**2 - (5 + (sqrt(3)*-2*5)**2)) + -2. -515 - 16*sqrt(3) Simplify (5*(sqrt(1088) + -3 + sqrt(1088)))**2*-4 + -1*(1 + sqrt(153))**2*-2 + 2. -435790 + 9612*sqrt(17) Simplify (sqrt(110) + 5*(sqrt(110) - -2*sqrt(110)) - sqrt(110) - sqrt(110)*-1*-3)/(sqrt(40)/sqrt(4)*3 + -2*sqrt(160)) + -3. -12*sqrt(11)/5 - 3 Simplify (3*(3 + sqrt(2448)) - (sqrt(2448) - -3*(sqrt(2448) + 4)))**2 + (3*sqrt(2448)*1 + 1 + 3 + sqrt(2448))**2. 456*sqrt(17) + 41641 Simplify 3*(-2*(5*sqrt(77)*-1 + -3*sqrt(77)*1 + sqrt(77) + sqrt(77)))/((sqrt(6655)*1)/((1*sqrt(125) - sqrt(125)) + sqrt(5))). 36*sqrt(7)/11 Simplify -3 + -1 + (1 + sqrt(1100))*-1 + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 4 + 1*sqrt(1100) + sqrt(1100)))**2) + 5 + (sqrt(1100)*1)**2 + -2. -3318 - 160*sqrt(11) Simplify (-2*(5 + -1 + sqrt(847)*1 - (-2*sqrt(847) + 3 - (sqrt(847) - (2*sqrt(847) + -1 + sqrt(847))))))**2. 176*sqrt(7) + 3404 Simplify ((1 + sqrt(176))*4 + (sqrt(176) + -1)*4 + 3 + 1 + -5)*2. -2 + 64*sqrt(11) Simplify 2*((1*sqrt(110)*1 - sqrt(110))/(sqrt(50)/sqrt(5)*4) + -5*-4*(sqrt(539) - (sqrt(539) + sqrt(539)*-3))). 840*sqrt(11) Simplify (sqrt(315)/(-1*sqrt(7)))/(sqrt(81)*-5) - (-2 + sqrt(15)/sqrt(3) + 4 + sqrt(20)/(sqrt(20)/sqrt(5)))**2. -24 - 119*sqrt(5)/15 Simplify ((sqrt(225)/sqrt(441))/(sqrt(5) - ((-3*sqrt(40))/sqrt(8) + sqrt(5) - sqrt(5))))**2 - (-2 + (sqrt(165)/sqrt(3))/sqrt(11)*-3)*4. 6277/784 + 12*sqrt(5) Simplify 6*(-2 + 3*(1 + -1 + sqrt(76) + sqrt(76))*-1 + -3). -72*sqrt(19) - 30 Simplify (((sqrt(24) + sqrt(600))*-1 - -6*sqrt(600))*-1)/(sqrt(972)*1 + (-1*sqrt(144))/sqrt(12) + sqrt(12) + sqrt(12)). -12*sqrt(2)/5 Simplify -1*(0 + -1*(6*(sqrt(847) + -1*sqrt(847) - sqrt(847) - sqrt(847)) - 6*(-1 + sqrt(847) - sqrt(847)))*4 + 3)**2. -1951929 + 22176*sqrt(7) Simplify ((1 + sqrt(432)*2 - 3*(sqrt(432) + 2)) + 4 - (sqrt(432)*-1*-2 + sqrt(432))*1*1)**2. 96*sqrt(3) + 6913 Simplify 2*(sqrt(396)*-1*-1)/(sqrt(9) - sqrt(9)*1*-1)*1. 2*sqrt(11) Simplify ((-4*2*sqrt(96) - sqrt(96)) + sqrt(96) + (sqrt(96)*-1 + sqrt(96) + sqrt(96))*4)/(sqrt(2)*1*-5*-3)*-3 + 0. 16*sqrt(3)/5 Simplify sqrt(13) + sqrt(117) + 2 + 5*3*sqrt(13) + -4 + -1 + -5 + 5 + sqrt(208) + -2. -5 + 23*sqrt(13) Simplify 6*(1 + (sqrt(720) - (-1*((sqrt(720)*1 - sqrt(720)) + sqrt(720)) + sqrt(720)))/(-3*2*sqrt(9) + (sqrt(27)/sqrt(3) + sqrt(9))*6))*2. 12 + 8*sqrt(5) Simplify 5*sqrt(16)/(sqrt(8) - sqrt(648)) + 2 - (sqrt(1152) - (-4*sqrt(1152) + 4))**2. -28814 + 7675*sqrt(2)/8 Simplify (sqrt(35)*-4*-4 + (sqrt(35) - (sqrt(35) - -1*sqrt(70)/sqrt(2))))/((sqrt(5) - -4*sqrt(5)*2) + (sqrt(110)/sqrt(2) - sqrt(55))/sqrt(11)). 5*sqrt(7)/3 Simplify -1*(sqrt(76)*-1 + 5 + sqrt(76))*2 - (-5 + (-1*sqrt(76) + sqrt(76) - sqrt(76)) - (sqrt(76) - (1 + sqrt(76) + 5))). -11 + 2*sqrt(19) Simplify (-3*sqrt(133)*-3 + sqrt(133) - ((sqrt(133) - 3*sqrt(133))*4 + sqrt(133)))/(2*sqrt(63) - (sqrt(7) - (sqrt(252) - (sqrt(252) - sqrt(252)*2)))). sqrt(19) Simplify (sqrt(560) + sqrt(560) + 1*sqrt(560)*2 - (sqrt(560)*2*-2 - sqrt(560)))/((-1*sqrt(7056) - sqrt(49))/(-1*sqrt(63))) + -1. -1 + 108*sqrt(5)/13 Simplify (sqrt(475) + 0)**2 + -4*(sqrt(19)*2)**2 + -1 - (3 + ((sqrt(19) - sqrt(171))**2*5 - (-2*(sqrt(19) + sqrt(76)/sqrt(4)))**2)). 91 Simplify 5*((1*(2*sqrt(224) + sqrt(224)))/(4*sqrt(24)/sqrt(3) + sqrt(8)))/((sqrt(144) - (sqrt(144) + sqrt(144)*1))*4*-2). sqrt(7)/16 Simplify ((sqrt(550)*2 - (((sqrt(1782) - sqrt(22))*-3 - sqrt(22)) + sqrt(22)))/(-4*-1*sqrt(539) + sqrt(539) + (sqrt(539) - 5*-2*sqrt(539))))**2. 289/1568 Simplify (2*(5*sqrt(560))/(sqrt(180)*-2))**2 + 4 + ((sqrt(7) - sqrt(7)*3)*-2 + (sqrt(7) + sqrt(35)/sqrt(5))*3)**2. 7036/9 Simplify (sqrt(35) + (sqrt(105)*2)/sqrt(3))/sqrt(320) - ((sqrt(56)/sqrt(32)*5)**2 - (0 + sqrt(112) + 3)). -163/4 + 35*sqrt(7)/8 Simplify -1*sqrt(539) + -3 + -4*(sqrt(539) + (-3*sqrt(539))**2 + sqrt(539)) - -4*4*(-4 + 5 + 0 + sqrt(11)). -19391 - 47*sqrt(11) Simplify ((2*sqrt(768) + sqrt(48))/(sqrt(8) - sqrt(64)/sqrt(32)))/(6*sqrt(147)*-1*1). -3*sqrt(2)/7 Simplify 6*(5 + (sqrt(2299) + (-3 + (-1 + sqrt(2299) - sqrt(2299)) + sqrt(2299))**2 + -1*sqrt(2299) + -5 - (sqrt(76) + ((2*sqrt(76) - sqrt(76)) + 1)**2)*-6)). -312*sqrt(19) + 16662 Simplify 3 + (sqrt(2448) + sqrt(2448) + 1)**2 + 0 + (-6*(-5 + (sqrt(1377) - sqrt(1377)*-1 - sqrt(1377))))**2.
{ "pile_set_name": "DM Mathematics" }
4*v to the form b*v + j and give b. -1522 Rearrange (3 - 2 - 2)*(-o**2 - o**2 + 4*o**2) + (-4 + 3 - 1)*(-o**2 + 3*o**2 - 5*o**2) - 19*o**2 - 2*o**2 + 2*o**2 to the form g + a*o + u*o**2 and give u. -15 Express -26*i + 55*i - 20*i - 13*i**3 in the form c*i**3 + j*i + y + h*i**2 and give j. 9 Rearrange -4 + 2 + 2*j**2 + 8*j**2 - 9*j**2 to the form y*j**2 + z*j + v and give y. 1 Rearrange 3 + 249*z**2 - 2*z - 250*z**2 + 5*z**3 + 3*z to the form x*z**2 + y*z**3 + v + w*z and give v. 3 Express 8 + 6 + 3*i + 4 - 2*i**3 - 23 as k + q*i**3 + s*i + h*i**2 and give s. 3 Rearrange -88*b**3 + 55*b**3 + 194*b + 31*b**3 - 28*b to the form d*b**2 + f*b**3 + u + a*b and give a. 166 Express (4*a - 5*a + 2*a)*(0*a - 5*a + 3*a) - a**2 - 5*a**2 + 4*a**2 - 13*a - 529*a**2 + 13*a as x*a**2 + s*a + o and give x. -533 Rearrange -8 - 14*f**2 + 15*f**2 - 17*f**4 + 4 to j + t*f + k*f**2 + y*f**4 + l*f**3 and give k. 1 Rearrange 4*q - 2*q - 3*q + (-q + 2 - 2)*(4 + 0 - 1) - 154*q + 175 - 175 to r + l*q and give l. -158 Rearrange (4 + 2 + 3)*(2*h + 10 + 7 - 4*h) + 5*h - 2*h - h to a + o*h and give a. 153 Rearrange 9 - 2*t**4 + 15*t**4 + t**3 - 5 - t**2 + 0*t**2 to m*t**4 + g + p*t + f*t**2 + w*t**3 and give m. 13 Express (131 - 42*u - 131)*(2*u + 0*u**2 + 11*u**2 + 8 - 12*u**2) in the form p*u + a*u**2 + y + c*u**3 and give p. -336 Express -97*o - 28*o**3 + 30*o**3 - o**4 + 2 + 85*o as g + l*o**4 + f*o**2 + s*o + c*o**3 and give s. -12 Express 5*o**3 + 3*o - o**3 - 3*o**3 + (1 - 5 + 3)*(0*o + 0*o - 2*o)*(-2*o**2 + 2*o**2 - 3*o**2) as m*o**3 + l*o**2 + f*o + k and give k. 0 Rearrange 0*m**2 + m**2 + 5*m**2 + 4*m - 5*m**2 - 4*m - m**2 + 0*m**2 + 2*m**2 + (-7 + 7 - 7*m)*(-m + m + 2*m) to o*m + r + u*m**2 and give u. -12 Rearrange -1009*y**3 - y + 1011*y**3 - 120*y**2 + y - y**2 to w*y**2 + r*y + g*y**3 + s and give w. -121 Rearrange -14 + 14 + 92*x - 1897*x**2 - 92*x to n*x + o*x**2 + s and give o. -1897 Rearrange (x - x + x**2)*(2 + 0 - 1) - 32*x**2 - 91*x + 62*x**2 + 72*x to the form a*x + d + i*x**2 and give i. 31 Express (4*j**2 + 4*j - 4*j)*(85*j - 115*j - 82*j - 31*j)*(2 - 1 + 1) in the form p*j**2 + k + q*j**3 + w*j and give q. -1144 Rearrange -3 + 3 + 6*g + (2 + 7 + 9)*(2 + 3*g - 2)*(-4 + 2 + 0) to the form k + f*g and give f. -102 Rearrange 89*g - 13*g - 16*g to the form q*g + d and give q. 60 Express -2 - 32632*r - 50*r**2 + 32632*r as n*r + f*r**2 + a and give f. -50 Express -179 + 179 + 32*c - 1005*c + 30*c as m*c + o and give m. -943 Rearrange -2*b**2 - 2*b**3 + 17*b - 7*b + 3 + 3 - 8*b to r*b + m*b**2 + k*b**3 + t and give t. 6 Express 2 - 124*i**3 - 2*i**2 + 130*i**3 + 3 - 6 as j*i + m*i**2 + g + d*i**3 and give d. 6 Express 8 - 81*a**4 + 5*a**2 - 29 + 83*a**4 - 3*a**2 in the form b*a**4 + p*a + w*a**3 + k + v*a**2 and give b. 2 Express -64*s**2 - 19*s**2 - 13*s + 15*s**2 + 17*s as d*s + q*s**2 + k and give d. 4 Rearrange 479 + 372*o - 958 + 479 to the form p*o + s and give p. 372 Rearrange 3*w**2 - 10*w**2 + 11*w**2 + (5*w - 11*w - 2*w)*(-2*w - w + 2*w) + 1 + 19*w + 3*w**2 - 19*w to the form d + l*w + b*w**2 and give l. 0 Rearrange 6*d**2 - 3*d**2 - d**2 + (5*d + 135 - 135)*(-4*d + d + d) + 7*d**2 - 246 + 246 to the form l*d**2 + z + i*d and give z. 0 Rearrange (8*n + 15*n - 8*n - 3)*(-3 - 1 + 5)*(-17 + 7 - 25) to the form m + l*n and give l. -525 Express 18*d**2 + 7*d - d + 3*d + 4 - 9*d as f*d + c + x*d**2 and give c. 4 Express -j**3 + 2*j - 14*j**4 + 4*j**3 + j**2 + 4*j**4 - 3*j**3 in the form i*j**2 + l*j**3 + y + a*j + r*j**4 and give i. 1 Express (128 - 1678*u - 351*u - 128)*(2 - 4 + 0) as w*u + b and give w. 4058 Rearrange -2*l**2 + 21*l**3 + 4 + 15*l**3 - 31*l**3 - 4*l + 4*l to the form y*l**2 + a*l**3 + h + b*l and give a. 5 Rearrange (2*q + 3 - 3)*(1 + 0 + 0) + 3*q + 0*q + 2*q + 10*q + 10 - 6 - 12 to d*q + v and give d. 17 Rearrange 1751*p + 3 + 12*p**2 - p**2 - 1753*p to the form s*p**2 + d*p + f and give s. 11 Express (-1 - 4 + 3)*(2*y + 2 - 2) - 57 + 58*y + 57 + (6 - 1 - 3)*(-3*y - 2*y + 7*y) as w + p*y and give p. 58 Express -2985 + f**2 + 2*f**3 - f + 2984 + 41*f**2 - f**4 as h + q*f**2 + g*f**4 + v*f**3 + s*f and give g. -1 Express (2 - 4 + 0)*(0*l + l - 2*l)*(-6 - 10*l + 2 + 1) as i*l**2 + j + k*l and give i. -20 Express (4 + 4*m - 4*m - m)*(-5 + 5 + 19*m) + (m**2 + 0*m + 0*m)*(4 - 2 + 0) + 4*m + 4*m**2 - 4*m in the form h*m + b*m**2 + d and give d. 0 Express 23*d + 65*d - 2216*d - 224*d in the form y*d + q and give y. -2352 Express (21*m**3 - 2*m**4 - 21*m**3 + (-5 - 1 + 3)*(2*m**4 + 3*m**4 + 0*m**4))*(1 + 0 - 3) in the form g*m + q*m**4 + b*m**3 + w*m**2 + r and give q. 34 Express (v + v - 3*v)*((4 + 5 + 6)*(3*v - 2*v + v) + 6 - 6 + 2*v + 4*v - 14 + 14) in the form p*v + a + h*v**2 and give h. -36 Express -5*x + 0 + 3*x + 0 - 55417*x**2 + 56006*x**2 in the form f + v*x**2 + g*x and give v. 589 Express (-90*n + 496 - 496)*(-2*n + n + 0*n)*(-3 + 6 - 2) in the form l*n**2 + m + u*n and give l. 90 Rearrange -4*d**3 - d**3 + 14*d**3 + (-2 + 7 - 3)*(d**3 + 3*d**3 - 5*d**3) + 5*d**2 - 2*d**2 + d**3 + 0*d**2 to the form r*d + y + n*d**3 + m*d**2 and give n. 8 Express -6*c**3 - 7*c**3 + 3*c**3 + (5*c - 4*c - 2*c)*(18*c**2 - 7*c**2 - 8*c**2) in the form p*c + h*c**3 + v*c**2 + y and give h. -13 Express (-k**2 + 0*k**2 - k**2 + (-k**2 - 3*k + 3*k)*(-3 - 3 + 3))*(-1 - 2*k + 0*k + 3*k)*(2 - 2 + 2) as n*k**3 + u + s*k**2 + i*k and give n. 2 Rearrange (-3*a + 0*a + a)*(230*a**3 + 209*a**3 - 73*a**3) to the form j*a + p*a**3 + s + d*a**2 + q*a**4 and give s. 0 Express 2*r - 2 - 199*r**2 + 3 - 5*r + 202*r**2 - 8 in the form s*r**2 + l*r + t and give t. -7 Rearrange 7 + 1 + u**3 - 91*u + 4 + 56*u**2 + 90*u - 14 to the form k*u + f*u**2 + t*u**3 + q and give t. 1 Express (9 + 14 - 11)*(-9 - 4*l + 9) as f + b*l and give b. -48 Rearrange (1 - 1 + 3*z)*(-998 - 479 - 410)*(-4*z**2 - 3*z**2 + 5*z**2) to the form o*z**3 + j + l*z**2 + v*z and give o. 11322 Rearrange -9*u**2 - 8*u**2 - 3 + 47*u**2 - 2*u**4 to l + v*u**3 + z*u + r*u**2 + t*u**4 and give v. 0 Express 599*k - 288*k - 288*k + 2 as i*k + t and give t. 2 Express 303*h + 15*h**2 + 2 - 2*h**3 + 0*h**3 - 2*h**4 - 300*h - 33*h**2 as p + w*h**3 + q*h + a*h**2 + c*h**4 and give w. -2 Express -273 + a**2 + 213 + 0*a**2 in the form s + i*a**2 + k*a and give i. 1 Express q**3 + q**4 - 370*q + 758*q - 366*q as b*q**2 + x*q**3 + d + l*q**4 + h*q and give h. 22 Express j**3 + j**2 - 163*j + 148*j + 1 + 1 as d*j + q*j**3 + l + n*j**2 and give l. 2 Rearrange (644 + 255 + 368 + 246)*(0*z + 3*z - z) to the form f*z + c and give c. 0 Rearrange ((-1 - 3 + 5)*(-7 + 1 + 1) - 2 + 2 + 3)*(0*w + w + 0*w) to t + v*w and give v. -2 Rearrange (2 + d - 2)*(2 - 5 + 4) + 33 - 33 - 8*d - 3*d + 7*d - 2*d + 52*d - 28*d - 12*d + 59*d to f + x*d and give x. 66 Rearrange 414 + 8*k**3 - 29*k**3 + 7*k**3 + 17*k**3 to the form j*k + i + s*k**3 + c*k**2 and give j. 0 Express -z**3 + 28*z**4 - z**3 - 4*z**4 + (-3*z**2 + z**2 + 9*z**2)*(-2*z**2 + 5*z**2 - z**2) in the form w*z**3 + q*z**2 + d*z**4 + t + i*z and give d. 38 Rearrange 2 + 14*h**2 - 128*h - 3 + 123*h to the form p + z*h**2 + c*h and give c. -5 Express (-12*w**2 - w + 4*w**2 + 6*w**2 - 16)*(12*w**2 + 12*w - 12*w) as b*w**2 + g*w + h + z*w**4 + y*w**3 and give b. -192 Express 6*l**2 - 3*l**2 - 304 + 319 in the form j*l**2 + v + n*l and give v. 15 Rearrange 8*o**4 - 7*o**4 + 318*o**2 - 375*o**2 + 2*o**3 to the form q*o + z + c*o**4 + a*o**2 + k*o**3 and give a. -57 Rearrange 25*t + 2*t**4 + 1 + 3*t**3 + t**4 - 23*t - 2*t**2 to the form d*t + k*t**2 + v + o*t**4 + u*t**3 and give u. 3 Express -2 + 2*v**3 + 143*v**4 - 74*v**4 - 72*v**4 + (2*v**2 - 4*v**2 + 0*v**2)*(-4*v**2 + 4*v**2 - v**2) as b*v**2 + j*v + m*v**3 + u*v**4 + h and give u. -1 Express (0*m - 2*m + 4*m)*(0 + 0 - 1)*(24 + 44 - 20)*(5 - 12*m**3 - 5) as a*m + t*m**4 + g*m**2 + z*m**3 + c and give t. 1152 Rearrange -101*r**3 - 108*r**3 + 197*r**3 + 45 to l + y*r**2 + d*r**3 + t*r and give d. -12 Rearrange 17 + 0*n + 4*n + 5*n**3 - n - 3*n**3 - 2*n to q*n**2 + p*n**3 + k*n + b and give b. 17 Express (-5536 + 124*o + 5536)*(-1 + 0 - 2)*(-2 + 0 + 3 - 6 + 3 + 2 + (4 - 2 - 1)*(-1 - 1 + 0)) as y*o + u and give y. 744 Express -7805 + 7798 + 9*p - 16*p - 20*p as z*p + c and give z. -27 Rearrange (-2 + 1 - 1)*(-h - 2*h - 3*h)*(-21 -
{ "pile_set_name": "DM Mathematics" }
-21 - z = -f. Suppose k + f = 3*k + 5*w, -2*k + 30 = 2*w. What is the remainder when 38 is divided by k? 12 Let m be -3 + (-2)/((-2)/5). Suppose 3 = -m*l - 1. Let s = 5 - l. What is the remainder when s is divided by 3? 1 Suppose 1 = -2*p + 11. Suppose 0*k - 135 = -5*k - p*z, 5*k - 5*z = 115. What is the remainder when k is divided by 14? 11 Suppose 0 = 53*q - 1347 + 234. Calculate the remainder when 307 is divided by q. 13 Let z = 9 - 5. Suppose k = 4*t - 16, 0 = z*t + t - k - 21. Let y = 75 + -58. What is the remainder when y is divided by t? 2 Let j(c) = -c**3 + 13*c**2 - 12*c + 16. Let h = 101 - 89. Calculate the remainder when 44 is divided by j(h). 12 Suppose -5*d - s = -389, -5*d + 305 = 5*s - 100. What is the remainder when d is divided by 5? 2 Suppose -a - 2 = -2*k + 5*k, -8 = 4*a. Suppose -3*w - n + 251 = k, -w - 5*n + 107 = -0*n. What is the remainder when w is divided by 17? 14 Let m(r) = 0 - 4 + 3*r + 1 - 3. Let o be m(5). Calculate the remainder when (-3)/(-9) + 177/o is divided by 11. 9 Let q(w) = -3*w**3 + w. Let u(c) = -2*c**2 + 2*c - 1. Let o be u(0). Let i be q(o). Suppose -i*x = -49 + 29. Calculate the remainder when 36 is divided by x. 6 Suppose 3*i - 100 = -d, 0*d - 5*d + 4*i + 500 = 0. Let q = d + -80. Calculate the remainder when 70 is divided by q. 10 Let t = -394 + 468. Suppose 0 = 3*l + 2*c - 68, 0 = -4*c - 0 + 16. What is the remainder when t is divided by l? 14 Let y(o) = 4*o**2 + 125*o + 47. Calculate the remainder when 125 is divided by y(-31). 13 Suppose 2*y + 126 = 6*r - 3*r, r = -2*y + 42. What is the remainder when r is divided by 32? 10 Suppose 4 = 2*g, -u - 2*g + 0*g = 1. Let r = 92 + -48. Calculate the remainder when r is divided by (-72)/u - (-3)/5. 14 Suppose -1896 = -7*i - 272. Let j = i - 161. What is the remainder when j is divided by (-2)/4 + 111/6? 17 Let s be -2 + 1 + -3 + 2. Suppose -29*p - 20 = -31*p. Let u = p + s. Calculate the remainder when 22 is divided by u. 6 Suppose 3*m - 14 = -5. Let s(z) = 10*z - 9. What is the remainder when s(7) is divided by m/(-7) - (-150)/7? 19 Suppose 5*x - 28 = 2. Let u(n) = -n**2 + 5*n + 6. Let h be u(6). Suppose h = -y + 12 + x. What is the remainder when 53 is divided by y? 17 Suppose -68 = -3*h - 2. Let b = -31 + 117. What is the remainder when b is divided by h? 20 Let m = 7 - -3. Let o = 1 + m. What is the remainder when 30 is divided by o? 8 Suppose -3*x + 110 = 6*b - 4*b, 0 = -b + 2*x + 62. Calculate the remainder when b is divided by (-3 - (-36)/8)*10. 13 Let r(c) = c**2 - 7*c - 3. Let z be (-9)/((-135)/6)*20. What is the remainder when 29 is divided by r(z)? 4 Suppose 0 = -71*p + 57*p + 4046. What is the remainder when p is divided by 21? 16 Let v = -193 - -121. Let c = v + 87. What is the remainder when 36 is divided by c? 6 Let b = -28 - -49. Calculate the remainder when 94 is divided by ((-3)/(-4))/(b/672). 22 Let p = -1553 + 1806. What is the remainder when p is divided by 82? 7 Let z(w) = w**2 + 6*w. Let p be z(-5). Let x(a) = -10*a + 5. Let k(t) = -2*t - 1. Let d(s) = 4*k(s) + x(s). Calculate the remainder when d(p) is divided by 23. 22 Suppose -l = 12 - 119. Let s = l - 96. What is the remainder when 19 is divided by s? 8 Let s(i) = 6*i**2 + 2*i + 1. Let r be s(-1). Suppose -r*n = -68 - 42. What is the remainder when n is divided by 5? 2 Suppose -3*a = 2*z - 103, 40*a + 141 = 44*a - z. Calculate the remainder when 110 is divided by a. 5 Let m(a) = 23*a - 6. Suppose 6*q - q = 15. Calculate the remainder when m(q) is divided by ((-2)/(-4))/((135/(-288))/(-15)). 15 Let t be (-8)/(-16) - (-62)/4. Suppose w - t + 3 = 0. What is the remainder when 51 is divided by w? 12 Let j(w) = -5*w + 1. Suppose 96 = -13*a + 7*a. What is the remainder when ((-23)/4)/(2/a) is divided by j(-3)? 14 Suppose 0 = 477*h - 473*h - 212. What is the remainder when h is divided by 53? 0 Suppose -46 = -h - h + r, 90 = 4*h - r. Suppose 0 = 5*c - 2*c + 5*u - 24, 2*u = 2*c - 16. Calculate the remainder when h is divided by c. 6 Let s = 28 - 14. Suppose 5*w + 4*v = 24, -3*w + s = 2*v - 0. What is the remainder when 14 is divided by w? 2 Let o(z) = -z**3 - 5*z**2 + z**2 + 1 - 2*z + 5*z**2. Let r be o(1). Let h(b) = -2*b + 3. What is the remainder when 8 is divided by h(r)? 3 Let i(f) = f**3 + 5*f**2 - 4*f - 3. Suppose -3*u + 4 = -8. Suppose u*t - 41 = 227. Calculate the remainder when t is divided by i(-5). 16 Let b be (4 - 20)/(-4) + -2. Let j(v) = 5*v**3 - 2*v**2 - 5*v + 2. Calculate the remainder when 69 is divided by j(b). 21 Suppose 3*z - 2*v = 104, 2*z + z + 3*v - 129 = 0. Suppose 0 - 6 = -2*o. Let s(x) = x**3 - 2*x**2 - 3*x + 10. What is the remainder when z is divided by s(o)? 8 Let a be (-1)/4 + (-68)/(-16). Suppose -2*x = -4*f - 16, 3*x = a*f + 22 + 8. What is the remainder when 137 is divided by x? 11 Suppose 2*z = 0, -4*u - 2*z + 66 + 174 = 0. Let n = 14 - 5. What is the remainder when u is divided by n? 6 Let h(o) = -o**3 + 7*o**2 + 8*o + 13. What is the remainder when h(8) is divided by 12? 1 Let l(s) = s**3 - 5*s**2 - 5*s - 2. Let o be l(6). Suppose -o*p = -6*p + 90. Calculate the remainder when p is divided by 25. 20 Suppose -8*v = -78 - 1138. What is the remainder when v is divided by 48? 8 Let n(b) = -b**3 - 5*b**2 - b - 1. Let y be n(-5). Suppose 5*l + p - 36 = -3*p, -l - 4*p = -y. What is the remainder when 11 is divided by 5 + l/(-3 + -1)? 2 Suppose -151 = -3*j + 131. Suppose 3*w - 4*d - j = 0, d = 5*w - d - 152. Suppose -5*s = -56 - 24. Calculate the remainder when w is divided by s. 14 Let o = 138 + -73. Suppose 0 = 3*f + f - 72. What is the remainder when f is divided by (-25)/2*(-26)/o? 3 Suppose -50 = -3*d - 2*y, 3*y - 8 = -5. What is the remainder when d is divided by 10? 6 Suppose -4*l = 5*p + l - 60, -l = 3*p - 34. Calculate the remainder when 34 is divided by p. 1 Let s = 742 - 720. What is the remainder when 988 is divided by s? 20 Let n(w) = -w**2 - 4*w + 17. Let b be n(-6). Let c = b + 5. Suppose 14*i - c*i = 44. What is the remainder when 18 is divided by i? 7 Let v be 5/(-2)*-2*112/20. Let m(x) = 2*x**2 - 56*x + 5. Calculate the remainder when 16 is divided by m(v). 1 Calculate the remainder when 54 is divided by ((-10)/(-3))/(((-5)/(-75))/1). 4 Suppose 0 = -b - 5 + 9. Let g(x) = 13*x**2 + x - 1. What is the remainder when g(1) is divided by b? 1 What is the remainder when (-2 - (-3 - 481)) + -1 + 6 is divided by 14? 11 Suppose 5*c = 461 + 919. Suppose -2*b = b - c. Suppose -3*a = 5*l - 104, 2*a - b = -4*l - 24. What is the remainder when a is divided by 20? 18 Suppose -4*g + 11 = -9, -5*o + 410 = -5*g. Suppose 0*s + 54 = 3*s. Calculate the remainder when o is divided by s. 15 Suppose 0*z = -o + 5*z + 29, 5*o - 3*z - 145 = 0. Calculate the remainder when 150 is divided by o. 5 Let t(d) = d**3 + d**2 - 5*d - 4. Let m be t(-3). Suppose -2*a - 45 = -3*a. Calculate the remainder when a is divided by ((-12)/m)/((-5)/(-35)). 9 Let l(w) = 5*w**2 - 2*w + 1. Suppose 48*g - 240 = 24*g. Calculate the remainder when l(2) is divided by g. 7 Suppose -4*y = -5*g + 128, -y + 4*g - 39 = g. Let z = -19 - y. Let f = z + 6. What is the remainder when 53 is divided by f? 11 Suppose -b - 9 = -5. Let a be (b/8)/((-2)/8). Suppose -a*c = -5*c + 45. What is the remainder when 58 is divided by c? 13 Suppose -27*t = 31*t - 1276. Let b(m) be the third derivative of m**6/120 - m**5/10 + m**4/4 + m**3/6 - m**2. Calculate the remainder when t is divided by b(5). 4 Let v = 3 - 2. Suppose 5 = l + v. Suppose -5*y + 60 = 2*s - 5, 2*s - l*y - 56 = 0. What is the remainder when s is divided by 8? 6 Let t(d) = 9*d - 195. What is the remainder when 416 is divided by t(25)? 26 Suppose v = -v - 40. Let l = v + 134. Calculate the remainder when l is divided by 39. 36 What is the remainder when ((-1)/3)/((-2)/246) is divided by 23? 18 Let y(u) = 27*u**2 - u - 1. Suppose 15 = 3*t, -t + 244 = 4*x + 3*t. Suppose 2*r = 4*r - x. Calculate the remainder when y(-2) is divided by r. 25 Let w(x) = 8*x**2 + 50*x - 17. Calculate the remainder when 31 is divided by w(-7). 6 Let l(f) = 1 - 5*f - 6 - f**2 + 3*f - 6*f. Let i be l(-7). Suppose 3*s - i*s - 14 = 0. Calculate the remainder when 41 is divided by s. 13 Let v = 22 + -12. Let i = -12 + v. Calculate the remainder when 25 is divided by 72/8*i/
{ "pile_set_name": "DM Mathematics" }
o = -c + 3*m - m - 7. Sort c, -1, -4 in decreasing order. -1, c, -4 Suppose 4*x - 9 = -1. Suppose -o + 4 = x*p, -5*o + p + 0*p + 20 = 0. Sort 3, 5, o in increasing order. 3, o, 5 Let w(j) = -j**3 + 6*j**2 + 8*j - 3. Let q be w(7). Let p be (-3 + q + -1)/(-3). Sort -3, -1, p in decreasing order. p, -1, -3 Let l = -0.41 + -3.59. Put 4, 0.1, l in increasing order. l, 0.1, 4 Let k = -0.05 + 0.55. Let x = -0.3 - k. Let a = -0.6 - x. Put -0.3, -2, a in decreasing order. a, -0.3, -2 Let f(o) = o - 2. Let r be f(3). Let p = -1 + r. Let l be 2/4 - (-9)/(-2). Sort p, l, -0.3. l, -0.3, p Suppose -14*z + 20 = -12*z. Let d = z + -6. Sort 0.2, 2/3, d in increasing order. 0.2, 2/3, d Let p(x) = 8*x**3 - x**2 - x. Let b be p(-1). Let k be 2/(-4) - 12/b. Let c be (18/(-2 + 5))/(-2). Sort c, 5, k in increasing order. c, k, 5 Suppose o = 4*q + 76, -4*q - 45 = 3*o + 47. Let k be (1 + -2)/(4/q). Put -5, 0, k in ascending order. -5, 0, k Let m(f) = -2*f**2 + 14*f - 13. Let r be m(6). Sort 6, 1, r in decreasing order. 6, 1, r Let z = -2989/11 - -272. Put z, 5, 1, -4 in descending order. 5, 1, z, -4 Let x = 0.227 + -0.127. Sort -2/13, -5, 0.2, x. -5, -2/13, x, 0.2 Suppose 5*l = 0, 3*l = 6*f - 3*f - 9. Put -2/13, 3/4, f, -5 in decreasing order. f, 3/4, -2/13, -5 Let x be (-34106)/70140 - 8/(-20). Let c = 3/334 - x. Put c, -1/3, -4 in descending order. c, -1/3, -4 Let h = -5.2 - -0.2. Let y = -5 + 5.8. Let q = 0.5 - y. Sort h, 4/7, q in increasing order. h, q, 4/7 Let h = 3 + -2. Suppose z - 6*z = 25. Let b = z - -2. Sort b, h, -4 in decreasing order. h, b, -4 Let m = -2 - -1.95. Sort 0.4, 5, m in decreasing order. 5, 0.4, m Let h = -22 - -26. Put h, -0.11, -0.2 in descending order. h, -0.11, -0.2 Let f = 10.1 + -11.1. Suppose o + 15 = 6*o. Let z = o - -1. Sort 1, f, z. f, 1, z Let m(t) = t**3 + 8*t**2 - 9*t. Let c be m(-9). Suppose -4*k - k - 10 = c. Suppose 0 = r + 3*r + 16. Put r, k, 1 in ascending order. r, k, 1 Suppose 4*u + 2*t = -4, 2*t = -3*t - 10. Suppose c + 0 + 4 = u. Let f = -40/11 - -178/55. Put f, c, 4 in decreasing order. 4, f, c Let d be (2 + -1)/1*-2. Sort 3, d, -5 in decreasing order. 3, d, -5 Let p = -0.474 + 3.474. Suppose 4*g - 46 = -0*g - 2*n, g - 5*n - 39 = 0. Let c be 8/g + 4/(-6). Put c, 2, p in increasing order. c, 2, p Let v(p) = -p**3 - 6*p**2 - 5*p. Let k be v(-5). Let s(d) = d**3 - d**2 - 2. Suppose 2*t - t = 0. Let q be s(t). Sort k, q, 5 in increasing order. q, k, 5 Let w = -27 + 27.3. Let j = 0.1 + 0.3. Put j, w, 2 in ascending order. w, j, 2 Suppose n - 3 = 3. Let s = 2 - n. Suppose -8 = 2*r, 3*a - r - 12 = 2*r. Put a, s, 1 in decreasing order. 1, a, s Suppose -3*j + 5*j + 4 = 0. Let x = -2.711 - -0.011. Let b = -3 - x. Put j, 4, b in decreasing order. 4, b, j Let z be -14*((-12)/(-8) + 0). Let g be 60/z + 1/(-7). Let t = 1749/8 + -219. Put t, g, -4 in increasing order. -4, g, t Suppose 6 + 9 = 5*i. Put -5, 4, i in descending order. 4, i, -5 Let u = -3 - 0. Sort u, 2/9, 1 in ascending order. u, 2/9, 1 Let n(o) = -o**3 - 4*o**2 - 3*o + 3. Let g be n(-3). Suppose -d + 4 = -g*d. Let l be (-2 + 2)*d/(-4). Put 1, -3, l in decreasing order. 1, l, -3 Let w be (-5)/(-20) - 7/12. Put -1/6, w, 0.04 in descending order. 0.04, -1/6, w Let y = -17.1 + 21.1. Let l = -1 - 2. Sort 0.3, y, l in decreasing order. y, 0.3, l Let u = 17 + -13. Sort 1, -2, u in decreasing order. u, 1, -2 Let p(n) = -3*n**3. Let o be p(-1). Let m(r) = r**2 + r. Let z be m(1). Suppose 6 = -3*v + 2*i + 2*i, -2*i = 0. Sort v, o, z. v, z, o Let z = 0 - -0.1. Let r = 4.01 - 4. Let t = -0.11 + r. Sort t, z, 5 in descending order. 5, z, t Let n(a) = 2*a + a - 4*a. Let d be n(-5). Suppose 5*h - 14 = 3*r, -5*r = -4*r - h + 4. Put r, d, -4 in decreasing order. d, r, -4 Let i = -24 + 22. Put i, 3, -1/4 in decreasing order. 3, -1/4, i Let l = 2 - 2. Put l, 5, 2 in descending order. 5, 2, l Let w be (-2)/5 + -9*(-24)/315. Sort -2, 2, 4, w. -2, w, 2, 4 Let a = -11.25 + 11. Let m = a + 0.05. Let f be 0 + -1 - 0/(-3). Put m, f, 2/13 in increasing order. f, m, 2/13 Suppose 15 = 29*z - 26*z. Let i = 18 - 18.9. Let d = i + 1. Put -0.3, z, d in decreasing order. z, d, -0.3 Suppose -i + 5*z = 18, 5*i - 4*z = -0*i - 6. Suppose 56*s = 58*s + 10. Put 1, i, s in ascending order. s, 1, i Let q(a) = -a**2 + 10*a + 8. Let l be q(11). Let o = 0.01 + -3.01. Let j = 3.4 + o. Put 2/9, l, j in ascending order. l, 2/9, j Let k = -1 + -3. Let n = -3.9 - k. Sort -1/3, -1, n in descending order. n, -1/3, -1 Let r = 15.4 - 16.4. Sort -7, 4, 1, r in descending order. 4, 1, r, -7 Let q be (-5)/10*(-8)/(-3). Sort -1/12, q, 2. q, -1/12, 2 Let s = 6/101 + -434/505. Sort 3, s, -0.1, -1/9 in increasing order. s, -1/9, -0.1, 3 Suppose 0 = -4*d + 2 + 10. Let x = d - 5. Let f = -7 - -12. Sort f, -1, x in decreasing order. f, -1, x Let p = 32.1 + -32. Sort -2, -2/5, p, -5 in ascending order. -5, -2, -2/5, p Suppose 0 = -2*x - 4*c + 4, 2*c = -x + c + 5. Sort x, -2, -5. -5, -2, x Suppose 5*i = 4*f - 2*f, 4*f - 4*i - 12 = 0. Suppose 5 = -3*t - 4. Put f, -1, t in ascending order. t, -1, f Suppose p = -12 + 13. Put 3, p, 0, 5 in increasing order. 0, p, 3, 5 Let n = 0.24 - -2.76. Let j = -0.1 - -0.6. Put n, -0.3, j in increasing order. -0.3, j, n Let f(k) = 3*k**3 - k**2 + k + 1. Let b be f(-1). Let j = b + 6. Let z = 9 - 13. Put z, 1, j in decreasing order. j, 1, z Let a = 2 + -1.98. Let s = a + -0.01. Put s, 1, 2 in ascending order. s, 1, 2 Suppose -5*r = 5 - 10. Sort r, 0, 5 in decreasing order. 5, r, 0 Suppose p + 2 = 0, -h - 2*p + 5*p = -5. Suppose -4*w = 5*j - 10*j, 4*j = -3*w. Put 2, h, w in descending order. 2, w, h Let a = 32 + -34. Put -1/5, -13, a in increasing order. -13, a, -1/5 Let b = 2.6 - 3. Sort b, -5, 0.4 in ascending order. -5, b, 0.4 Let l = -2 + 6. Let g(a) = a**2 - 1. Let o(y) = -y**2 - 5*y + 1. Let r(w) = 2*g(w) + o(w). Let d be r(l). Sort d, -3, 4. d, -3, 4 Let x(w) = 3*w**2 + w + 1. Let b be x(-2). Let f be 53/b + (-6)/(-33). Put -3, f, 4 in decreasing order. f, 4, -3 Let k = 6 - 1. Suppose -o - 6 = -x, k*x + 2*o - 2 = -0. Sort x, -1, 1. -1, 1, x Let t be 2*(-1)/(-4)*(-36)/(-90). Sort 0.1, -32, t, -5 in descending order. t, 0.1, -5, -32 Suppose -6 = -9*g + 7*g. Put -1, g, -4, 1 in decreasing order. g, 1, -1, -4 Suppose 30 = -2*r - 0*r. Let a(b) = -b**3 - 14*b**2 + 16*b + 10. Let j be a(r). Put j, -9, 1 in ascending order. -9, j, 1 Let q = -29 + 24. Sort 0.1, 4, q. q, 0.1, 4 Let w = -3.5 + -1.5. Put -0.01, 2/7, w in increasing order. w, -0.01, 2/7 Let t = -5 + 0. Let o(a) = -a**2 + 3*a + 1. Let w be o(0). Sort -3, t, w in decreasing order. w, -3, t Let g be -2*1*(-9)/6. Let n(i) = 2*i + 0 + i - 1. Let u be n(2). Put 1, u, g in ascending order. 1, g, u Suppose -m = -3*k - 8, 4*m + 0*k = -k + 6. Put -1, -2, m, -4 in descending order. m, -1, -2, -4 Let h(i) = i**3 + 7*i**2 - 9*i - 4. Let f be h(-8). Sort -3, -9, f in increasing order. -9, -3, f Let s = -5 - -5.06. Let f = 2.06 - s. Let p = 2.4 - f. Sort p, 1, -1/7 in increasing order. -1/7, p, 1 Let y = 0.2 + 0. Let m = -6.06 + 6. Let n = m - -0.36. Sort y, n, -5 in decreasing order. n, y, -5 Let t be (-5 + (3 - 2))/1. Put 1, 0.1, t in descending order. 1, 0.1, t Let b = 119 - 121. Sort -5, 5, b, 3. -5, b, 3, 5 Let s be ((-1)/1)/(3 - 2). Let p = 2 - 5. Put -5, p, s in descending order. s, p, -5 Let w(m) = -m**3 + 3*m**2 + 4*m + 2. Let f be w(4). Let c be (-10)/(-45) - (-158)/18. Let n = 6 - c. Sort f, n, -1 in ascending order. n, -1, f Suppose -5 = -3*a - 2. Suppose -33 = 5*t - r, -2*r - 12 = 5*t - 2*t. Sort t, -5, a in increasing order. t, -5, a Let d = -49 + 45. Put d, -0.6, 2 in decreasing order. 2, -0.6, d Let x = -1.54 + 0.24. Let g = x - 2.7. Sort -2, g, 4 in ascending order. g, -2, 4 Suppose -3 = 100*k - 103*k. Sort k, -2, -10, -3. -10, -3, -2, k Let k = 23 + -10. Let d be 5 - (-2)/(0 - 1). Suppose h + 3*h = -3*m + k, d*m = -h + 1. Sort -3, m, 2 in increasing order. -3, m, 2 Let c = 4.01 - 4. Let m = c - -3.99. Let a be (-2)/8 - (-13)/20. Sort m, a, -3. -3, a, m Let u(s) = -s**3 + 3*s**2 - 3*s + 4. Let t be u(3). Sort t, 4, -10. -10, t, 4 Let s = 1.27 + -15.47. Let n = 14 + s. Put 3/7, n, -4 in increasing order. -4, n, 3/7 Suppose -z + 4*z - z = 0. Sort 1/8, 4/9, 1/9, z in ascending order. z, 1/9, 1/8, 4/9 Let a = -0.24 - -0.54. Sort -7, -3, a
{ "pile_set_name": "DM Mathematics" }
when 10762 is divided by 769? 765 What is the remainder when 7246 is divided by 259? 253 Calculate the remainder when 2869 is divided by 54. 7 Calculate the remainder when 137466 is divided by 77. 21 Calculate the remainder when 791 is divided by 714. 77 What is the remainder when 6764 is divided by 966? 2 What is the remainder when 726026 is divided by 22688? 10 What is the remainder when 9717 is divided by 1531? 531 What is the remainder when 2399 is divided by 17? 2 Calculate the remainder when 1661 is divided by 26. 23 Calculate the remainder when 290297 is divided by 23. 14 What is the remainder when 10908 is divided by 984? 84 Calculate the remainder when 9932 is divided by 1634. 128 Calculate the remainder when 13874 is divided by 25. 24 What is the remainder when 49499 is divided by 3299? 14 Calculate the remainder when 6891 is divided by 6374. 517 Calculate the remainder when 16060 is divided by 183. 139 What is the remainder when 165847 is divided by 29? 25 What is the remainder when 11316 is divided by 1879? 42 Calculate the remainder when 20122 is divided by 32. 26 Calculate the remainder when 89704 is divided by 11203. 80 Calculate the remainder when 17224 is divided by 401. 382 Calculate the remainder when 16250 is divided by 27. 23 Calculate the remainder when 1451 is divided by 956. 495 Calculate the remainder when 376 is divided by 183. 10 What is the remainder when 189 is divided by 170? 19 What is the remainder when 71912 is divided by 49? 29 Calculate the remainder when 85774 is divided by 365. 364 Calculate the remainder when 493 is divided by 368. 125 What is the remainder when 7011 is divided by 89? 69 Calculate the remainder when 28147 is divided by 9362. 61 Calculate the remainder when 40018 is divided by 540. 58 What is the remainder when 16373 is divided by 749? 644 Calculate the remainder when 5412 is divided by 65. 17 What is the remainder when 21117 is divided by 6? 3 What is the remainder when 147230 is divided by 171? 170 What is the remainder when 3280 is divided by 1638? 4 Calculate the remainder when 59532 is divided by 132. 0 What is the remainder when 15918 is divided by 184? 94 Calculate the remainder when 19952 is divided by 241. 190 What is the remainder when 83377 is divided by 10396? 209 What is the remainder when 588 is divided by 131? 64 What is the remainder when 23847 is divided by 150? 147 What is the remainder when 19602 is divided by 783? 27 What is the remainder when 37871 is divided by 265? 241 Calculate the remainder when 47333 is divided by 5910. 53 Calculate the remainder when 1315 is divided by 58. 39 Calculate the remainder when 103518 is divided by 3. 0 What is the remainder when 14318 is divided by 14307? 11 Calculate the remainder when 2111 is divided by 695. 26 What is the remainder when 2956915 is divided by 173? 172 What is the remainder when 704997 is divided by 200? 197 Calculate the remainder when 5075 is divided by 62. 53 What is the remainder when 4318 is divided by 94? 88 What is the remainder when 17842 is divided by 17? 9 Calculate the remainder when 231125 is divided by 167. 164 What is the remainder when 654321 is divided by 38? 37 What is the remainder when 7557 is divided by 606? 285 Calculate the remainder when 465604 is divided by 69. 61 Calculate the remainder when 2406 is divided by 1916. 490 What is the remainder when 20654 is divided by 11? 7 Calculate the remainder when 2336 is divided by 86. 14 What is the remainder when 156832 is divided by 1329? 10 Calculate the remainder when 28282 is divided by 180. 22 Calculate the remainder when 157331 is divided by 31. 6 What is the remainder when 31407 is divided by 6278? 17 Calculate the remainder when 79233 is divided by 4951. 17 What is the remainder when 189669 is divided by 13? 12 Calculate the remainder when 605985 is divided by 55087. 28 What is the remainder when 5857 is divided by 543? 427 Calculate the remainder when 7815 is divided by 59. 27 What is the remainder when 939684 is divided by 7? 4 Calculate the remainder when 797479 is divided by 40. 39 What is the remainder when 3431 is divided by 184? 119 Calculate the remainder when 10944 is divided by 50. 44 Calculate the remainder when 140219 is divided by 171. 170 Calculate the remainder when 178849 is divided by 130. 99 Calculate the remainder when 61960 is divided by 8851. 3 What is the remainder when 193017 is divided by 60? 57 Calculate the remainder when 3838 is divided by 52. 42 Calculate the remainder when 2064 is divided by 410. 14 Calculate the remainder when 37334 is divided by 7451. 79 Calculate the remainder when 720861 is divided by 288. 285 Calculate the remainder when 6378 is divided by 43. 14 What is the remainder when 61702 is divided by 50? 2 Calculate the remainder when 6232 is divided by 942. 580 Calculate the remainder when 948 is divided by 657. 291 Calculate the remainder when 176401 is divided by 525. 1 Calculate the remainder when 632041 is divided by 9. 7 Calculate the remainder when 4563 is divided by 25. 13 Calculate the remainder when 2865 is divided by 65. 5 Calculate the remainder when 22961 is divided by 198. 191 Calculate the remainder when 74783 is divided by 24. 23 Calculate the remainder when 16480 is divided by 5486. 22 What is the remainder when 443 is divided by 16? 11 What is the remainder when 1137 is divided by 30? 27 What is the remainder when 852977 is divided by 138? 137 What is the remainder when 42404 is divided by 33? 32 Calculate the remainder when 372039 is divided by 22. 19 Calculate the remainder when 108101 is divided by 44. 37 What is the remainder when 3457 is divided by 670? 107 Calculate the remainder when 175192 is divided by 17519. 2 What is the remainder when 6885 is divided by 15? 0 What is the remainder when 1637996 is divided by 975? 971 What is the remainder when 15145 is divided by 505? 500 Calculate the remainder when 2770773 is divided by 497. 495 What is the remainder when 6837 is divided by 2254? 75 What is the remainder when 9180 is divided by 164? 160 What is the remainder when 24637 is divided by 6? 1 Calculate the remainder when 6834 is divided by 326. 314 Calculate the remainder when 390723 is divided by 1156. 1151 Calculate the remainder when 3647 is divided by 1026. 569 Calculate the remainder when 45682 is divided by 6. 4 Calculate the remainder when 23574 is divided by 11471. 632 What is the remainder when 1956 is divided by 116? 100 Calculate the remainder when 334391 is divided by 111462. 5 Calculate the remainder when 11809 is divided by 5902. 5 What is the remainder when 137991 is divided by 154? 7 What is the remainder when 4830 is divided by 270? 240 Calculate the remainder when 133823 is divided by 24. 23 What is the remainder when 107993 is divided by 82? 81 Calculate the remainder when 630527 is divided by 768. 767 What is the remainder when 38464 is divided by 271? 253 Calculate the remainder when 4056 is divided by 49. 38 Calculate the remainder when 13819 is divided by 1530. 49 What is the remainder when 9846 is divided by 154? 144 Calculate the remainder when 233254 is divided by 864. 838 What is the remainder when 80258 is divided by 26704? 146 What is the remainder when 365 is divided by 44? 13 What is the remainder when 4414 is divided by 39? 7 Calculate the remainder when 6954 is divided by 3385. 184 Calculate the remainder when 15420 is divided by 5131. 27 Calculate the remainder when 103090 is divided by 58. 24 Calculate the remainder when 54423 is divided by 9065. 33 Calculate the remainder when 525 is divided by 256. 13 What is the remainder when 24439 is divided by 8129? 52 What is the remainder when 112 is divided by 111? 1 What is the remainder when 1503254 is divided by 55? 49 Calculate the remainder when 25384 is divided by 12379. 626 What is the remainder when 13156 is divided by 94? 90 Calculate the remainder when 1893 is divided by 121. 78 Calculate the remainder when 842 is divided by 138. 14 Calculate the remainder when 36911 is divided by 63. 56 Calculate the remainder when 27800 is divided by 239. 76 What is the remainder when 15977 is divided by 8? 1 What is the remainder when 1508 is divided by 1034? 474 What is the remainder when 2935 is div
{ "pile_set_name": "DM Mathematics" }
replacement from {b: 5, p: 2}? 1/7 Three letters picked without replacement from mmdmddmdmmmdddmddmm. Give prob of picking 2 d and 1 m. 120/323 Calculate prob of picking 2 g when two letters picked without replacement from dgdgdddgdddddg. 6/91 What is prob of picking 1 q and 1 b when two letters picked without replacement from qrb? 1/3 Two letters picked without replacement from {q: 4, e: 3, n: 7}. What is prob of picking 2 n? 3/13 Four letters picked without replacement from {x: 1, b: 3, l: 1, o: 11, f: 3}. What is prob of picking 1 l, 2 o, and 1 f? 55/1292 What is prob of picking 1 u and 3 e when four letters picked without replacement from ttetettttututtettee? 5/969 Two letters picked without replacement from {k: 4, m: 2, o: 10}. Give prob of picking 1 o and 1 m. 1/6 Two letters picked without replacement from xxxxxlyxf. Give prob of picking 1 x and 1 l. 1/6 Two letters picked without replacement from jzzzjzzjjzzzzjzzzh. What is prob of picking 1 h and 1 j? 5/153 Four letters picked without replacement from aggaaagaaa. What is prob of picking 1 a and 3 g? 1/30 Two letters picked without replacement from {j: 2, l: 1}. Give prob of picking 1 l and 1 j. 2/3 What is prob of picking 2 h when two letters picked without replacement from {c: 1, h: 7}? 3/4 Three letters picked without replacement from {r: 3, s: 2, u: 1, d: 1, x: 3, j: 2}. What is prob of picking 1 j and 2 r? 3/110 What is prob of picking 1 j and 1 b when two letters picked without replacement from kjbbkbkdbkjkkkkb? 1/12 Calculate prob of picking 1 k, 1 g, and 2 c when four letters picked without replacement from cucgkk. 2/15 What is prob of picking 4 f when four letters picked without replacement from fjdgfqgjfjjqfgjg? 1/1820 What is prob of picking 1 c and 2 t when three letters picked without replacement from hctvcvvhtvh? 2/165 Four letters picked without replacement from {m: 10, y: 6, a: 2}. Give prob of picking 2 a and 2 y. 1/204 Calculate prob of picking 1 q and 1 x when two letters picked without replacement from cxqzcccclzvqccl. 2/105 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from aacaccc. 4/7 Calculate prob of picking 2 x when two letters picked without replacement from gggxgx. 1/15 Calculate prob of picking 1 s and 1 o when two letters picked without replacement from sssrrsoresesse. 1/13 Three letters picked without replacement from vvcvpceeppvlpvlpvvcv. Give prob of picking 1 l, 1 p, and 1 v. 4/57 Two letters picked without replacement from hhhhhqhhchoqhhh. Give prob of picking 2 h. 11/21 Two letters picked without replacement from {o: 3, h: 1, m: 3}. Give prob of picking 1 o and 1 h. 1/7 What is prob of picking 2 z and 1 g when three letters picked without replacement from {z: 6, p: 1, g: 5, f: 1, h: 1}? 75/364 Two letters picked without replacement from zfffffffffz. What is prob of picking 2 f? 36/55 Four letters picked without replacement from {j: 1, y: 2, s: 2, u: 1}. What is prob of picking 2 y, 1 u, and 1 j? 1/15 What is prob of picking 3 j and 1 k when four letters picked without replacement from {k: 5, j: 3}? 1/14 Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {w: 3, o: 5}. 3/7 Two letters picked without replacement from {h: 1, c: 5, p: 3}. Give prob of picking 1 h and 1 p. 1/12 Three letters picked without replacement from jrdrrjzrdrjczzjzjzj. What is prob of picking 2 d and 1 z? 5/969 Three letters picked without replacement from uhwzwwehwwzzuw. What is prob of picking 1 h, 1 w, and 1 e? 3/91 Two letters picked without replacement from {e: 1, m: 1, x: 1, f: 1, p: 1, b: 2}. What is prob of picking 1 f and 1 p? 1/21 Calculate prob of picking 2 t and 1 w when three letters picked without replacement from wttj. 1/4 Two letters picked without replacement from {u: 4, t: 2, h: 4}. What is prob of picking 1 t and 1 h? 8/45 Two letters picked without replacement from {x: 7, w: 1, o: 3, q: 3, z: 2, v: 1}. What is prob of picking 1 o and 1 x? 21/136 What is prob of picking 2 y, 1 f, and 1 n when four letters picked without replacement from fcpnpyy? 1/35 Four letters picked without replacement from {i: 4, x: 1, z: 1, u: 1, s: 1}. What is prob of picking 1 s and 3 i? 2/35 Three letters picked without replacement from {e: 1, v: 3, k: 1, u: 2}. Give prob of picking 2 v and 1 k. 3/35 Calculate prob of picking 1 k, 1 c, and 1 b when three letters picked without replacement from {z: 5, b: 1, x: 3, c: 1, w: 1, k: 2}. 1/143 Four letters picked without replacement from vvcevcwzvcz. Give prob of picking 2 c, 1 e, and 1 z. 1/55 Three letters picked without replacement from oyyyyyeyoyyyoooooyyo. What is prob of picking 2 y and 1 e? 11/228 Calculate prob of picking 2 b when two letters picked without replacement from bbu. 1/3 Two letters picked without replacement from gqmqgxuuutgtq. What is prob of picking 2 g? 1/26 Calculate prob of picking 1 o and 3 l when four letters picked without replacement from {k: 1, l: 4, o: 3}. 6/35 What is prob of picking 2 v when two letters picked without replacement from gvgvvgvvvvv? 28/55 Three letters picked without replacement from vavvavavvavvav. What is prob of picking 3 a? 5/182 What is prob of picking 1 y, 1 t, and 1 z when three letters picked without replacement from zyzyyzzitz? 1/8 What is prob of picking 2 l when two letters picked without replacement from lttntnnntl? 1/45 What is prob of picking 1 r and 2 m when three letters picked without replacement from {m: 1, r: 18}? 0 Three letters picked without replacement from {x: 2, e: 2, h: 4}. What is prob of picking 2 h and 1 e? 3/14 Calculate prob of picking 1 m and 1 a when two letters picked without replacement from jmjmmjjrsmmaxss. 1/21 What is prob of picking 3 b and 1 e when four letters picked without replacement from beebb? 2/5 What is prob of picking 1 t and 1 f when two letters picked without replacement from {t: 1, x: 1, p: 4, f: 2, b: 1}? 1/18 What is prob of picking 1 a, 1 y, and 1 n when three letters picked without replacement from {a: 2, p: 5, n: 3, y: 1, b: 1}? 3/110 Four letters picked without replacement from {k: 3, c: 2, p: 4, v: 6, t: 2, b: 1}. Give prob of picking 1 b, 2 v, and 1 k. 1/68 What is prob of picking 3 w when three letters picked without replacement from swwwwwwsww? 7/15 Two letters picked without replacement from {o: 4, z: 1, d: 3, e: 1, w: 10}. What is prob of picking 2 w? 5/19 Calculate prob of picking 2 i, 1 z, and 1 p when four letters picked without replacement from {p: 10, i: 6, z: 2}. 5/51 Calculate prob of picking 2 b and 1 o when three letters picked without replacement from {o: 4, b: 10}. 45/91 What is prob of picking 3 g when three letters picked without replacement from {g: 5, f: 2, x: 8}? 2/91 What is prob of picking 1 a and 2 w when three letters picked without replacement from cxawz? 0 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from cgusxssuggupuux. 1/35 Two letters picked without replacement from cwnnv. Give prob of picking 1 w and 1 v. 1/10 Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {a: 2, k: 1, y: 1, t: 1, o: 4}. 1/14 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {m: 2, u: 4, n: 1, t: 1, h: 3, g: 4}. 1/35 Three letters picked without replacement from nqvnvqvkqnnvnn. What is prob of picking 2 q and 1 v? 3/91 What is prob of picking 1 h and 3 z when four letters picked without replacement from hdzh? 0 What is prob of picking 1 h and 1 y when two letters picked without replacement from yrrryryrrhrykhury? 5/68 Calculate prob of picking 1 t and 2 n when three letters picked without replacement from nnnnnnnnntnn. 1/4 Calculate prob of picking 2 w, 1 m, and 1 v when four letters picked without replacement from {v: 8, w: 2, h: 1, m: 5}. 2/91 Three letters picked without replacement from {m: 4, b: 1, a: 1, p: 1, l: 2}. Give prob of picking 1 l, 1 a, and 1 p. 1/42 Calculate prob of picking 2 b and 2 p when four letters picked without replacement from bffpibpbbp. 3/35 What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 3, a: 4, e: 3, m: 3, r: 5}? 1/17 Two letters picked without replacement from {i: 2, w: 1, t: 3
{ "pile_set_name": "DM Mathematics" }
- 4*c + 5. Let v(j) = -4*l(j) - 11*y(j). What is -9*v(r) - x(r)? 3*r**3 Let w(g) = 4*g - 38 - 2*g + g + 36. Let l(z) = 3*z - 2. Calculate 6*l(x) - 7*w(x). -3*x + 2 Let x(f) = -f - 6. Let g(w) = 5. Let n(d) = 6*g(d) + 5*x(d). Let q(s) = 2*s. Suppose 0 = -2*c - 5 - 1. What is c*n(l) - 8*q(l)? -l Let h(r) = 3*r**3 - 2*r**2 + r. Let a(g) = -g**2 - g. What is -2*a(y) + h(y)? 3*y**3 + 3*y Suppose 36 = 2*b + 2*b. Let q(m) = -2*m**2 - 3*m - 2. Let x(v) = 40*v**3 - 4 + 6*v**2 + 3*v**2 + 13 - 41*v**3 + 13*v. What is b*q(u) + 2*x(u)? -2*u**3 - u Let i(b) = -b**2 - 2*b - 2. Suppose -4 = -4*q, 6 = f - q + 5. Let n(c) = 1. Let j(a) = 1. Let t(l) = -3*j(l) + 2*n(l). Give f*t(d) - i(d). d**2 + 2*d Let o(u) = -6*u**3 + u**2 + 11*u + 2. Let d(f) = 3*f**3 - f**2 - 6*f - 1. Give 11*d(y) + 6*o(y). -3*y**3 - 5*y**2 + 1 Let a(z) = 20*z**3 + 3*z**2 + 3*z - 3. Let j(u) = -561*u**3 - 85*u**2 - 85*u + 85. Calculate -85*a(n) - 3*j(n). -17*n**3 Let w(o) = -3*o. Let r(p) = -16*p. Suppose -6*j + 3*j - 99 = 0. Give j*w(z) + 6*r(z). 3*z Let j(l) = -4 + l - 1 + 7 + l. Let w(y) = y + 1. Give 2*j(d) - 5*w(d). -d - 1 Let z(m) = 22*m. Let i(o) = -21*o. What is -5*i(r) - 6*z(r)? -27*r Let z be (-2)/(-7) - (-132)/(-21). Let u(f) = f**3 + f**2 - 1. Let v(i) = -i**2 + 25*i**3 + 7*i**2 - 20*i**3 - 4. What is z*u(n) + v(n)? -n**3 + 2 Let o(a) = 3*a**3 - 1 + 3 + a**3. Let f(k) = 2*k**3 + 1. Suppose -16*l = -15*l - 4. Give l*o(v) - 7*f(v). 2*v**3 + 1 Let t(r) = -2*r**2 + 4. Let f(u) = 1. Calculate -20*f(i) + 5*t(i). -10*i**2 Let d(q) = -q - 1. Let f(p) = 104*p + 91. Determine -273*d(t) - 3*f(t). -39*t Let l(n) = n - 1 + 4 - 5*n. Let m(c) = c - 1. Suppose -7*a + 3*a + 2*x + 4 = 0, -4*a - 3*x - 16 = 0. Calculate a*l(b) - 2*m(b). 2*b - 1 Let t(r) = r - 1. Suppose 2*g + 0 - 2 = 0. Let x(d) = -3*d. Calculate g*t(f) + x(f). -2*f - 1 Let w(y) = -2*y**3 + y - 1. Let h(f) = f - 31*f**3 + 1 + 32*f**3 - 2*f - f**2. Let c(d) = d + 1. Let l be c(0). Calculate l*h(s) + w(s). -s**3 - s**2 Let p(b) = -b - 5. Let i = -9 - -2. Let j be 4/(-6)*(2 - 8). Let v(w) = 2*w + 5. Let n(f) = -1. Let x(c) = 4*n(c) - v(c). What is i*p(q) + j*x(q)? -q - 1 Let z(i) = -27*i + 7. Let f(j) = 14*j - 3. Give -5*f(p) - 2*z(p). -16*p + 1 Let c = -12 - -17. Let z(d) = -7*d + 3 - c*d**3 + 2*d + 0*d**3. Let x = -2 - 1. Let o(p) = 4*p**3 + 4*p - 2. Give x*o(b) - 2*z(b). -2*b**3 - 2*b Let n(o) = -o + 1. Suppose 7*p + 13 = -8. Let x(z) = -z - 3. Calculate p*n(m) - x(m). 4*m Let f(u) = 2*u**3 - 5*u**2 - 4*u + 4. Let w be (-2)/(-4) - 11/2. Let n(o) = 2*o**3 - 6*o**2 - 5*o + 5. Determine w*n(y) + 6*f(y). 2*y**3 + y - 1 Let a = -3 + 7. Suppose 7 = -s + p - 4*p, 11 = -3*s - a*p. Let j(h) = -1 + h - 2*h + 2. Let q(k) = 10*k - 12. Determine s*q(u) - 12*j(u). 2*u Let p(w) = 14*w**2 + 3*w. Let o(s) = 15*s**2 + 2*s. Determine -3*o(r) + 2*p(r). -17*r**2 Let f(w) = w. Let n(l) be the second derivative of -l**3/6 + 10*l. Let x = -9 - -15. Calculate x*n(y) + 7*f(y). y Let m(r) = -2*r**2 - 4. Let n(s) = 9*s**2 + 17. Suppose -6 = -3*f + f. Suppose -f*u = -u + 52. Give u*m(j) - 6*n(j). -2*j**2 + 2 Let x(b) = b**2. Let l(d) = -3*d - 2*d**2 + 5*d - 4*d**2 + 0*d. Give -l(t) - 3*x(t). 3*t**2 - 2*t Let y(s) = 3*s**3 - 5*s**2 + 7*s - 5. Let m(v) = -v**3 + v**2 - v + 1. Calculate -5*m(u) - y(u). 2*u**3 - 2*u Let y(n) = -5*n - 8. Let u(c) = -5*c - 7. Determine -6*u(b) + 5*y(b). 5*b + 2 Let n(k) = 5*k - 15. Let f = 10 - 25. Let z(o) = -o + 4. Calculate f*z(w) - 4*n(w). -5*w Let q(n) = 9*n**3 + 2*n**2 - 7*n. Let t be (-10)/30 - 11*2/(-3). Let a(v) = -4*v**3 - v**2 + 3*v. Calculate t*a(r) + 3*q(r). -r**3 - r**2 Let n(w) = w**3 + w**2 + 2. Suppose -2 = -4*c + 6. Let f(o) be the third derivative of o**6/60 + o**5/30 + 5*o**3/6 + 7*o**2. Calculate c*f(i) - 5*n(i). -i**3 - i**2 Suppose k = -2*c - 6, c - 18 = 4*k + 6*c. Let x(w) = -w**3 + w**2 - w. Let g(i) = 6*i**3 - 3*i**2 + 3*i. Give k*g(z) - 6*x(z). -6*z**3 Let g(l) be the second derivative of -l**3 - 3*l**2/2 - l. Suppose 5*i + 15 = 0, -5*q + 5*i = -3*q - 37. Let t(y) = -2*y - 1. What is q*t(n) - 4*g(n)? 2*n + 1 Let d be 3/(-2)*(-4)/3. Let m(l) = 4 + 4*l - l**d - 3*l - 3. Let o(z) = z**2 - z - 1. Determine -6*m(x) - 5*o(x). x**2 - x - 1 Let a(w) = 4*w + 29. Let g(x) = 9*x + 59. Calculate 7*a(z) - 3*g(z). z + 26 Let a(z) = -z**2 + 8*z + 4. Let y(u) = -u - 1. Determine -2*a(h) - 14*y(h). 2*h**2 - 2*h + 6 Let v(l) be the third derivative of -l**5/20 - l**4/12 + l**3/3 - 57*l**2. Suppose 8 - 2 = -2*d. Let g(x) = 3*x**2 + 3*x - 3. What is d*v(b) - 2*g(b)? 3*b**2 Let i(m) = 8*m**2 + 8*m + 4. Suppose 2*x - 9 = x. Let d(o) = -9*o**2 - x*o + 2 + 6 - 13. Calculate -6*d(w) - 7*i(w). -2*w**2 - 2*w + 2 Let y(g) = -g**3 + 2*g**2 + 2. Let o(l) = -l**3 + 3*l**2 + l + 2. Determine -5*o(b) + 6*y(b). -b**3 - 3*b**2 - 5*b + 2 Let y = 10 + -7. Suppose 2*t + y*t = -25. Let q(f) = f - 3. Let s be q(11). Let g(b) = 7*b. Let h(o) = 11*o. Give s*g(j) + t*h(j). j Let f(c) = 3*c**2 - 3*c - 1. Let r(w) = 2*w**2 - 2*w. Calculate -3*f(o) + 5*r(o). o**2 - o + 3 Let q(p) = -5*p**2 + 2*p. Let z(b) = -51*b**2 + 21*b. Suppose 3*k - 36 = 27. Determine k*q(s) - 2*z(s). -3*s**2 Let n be 1/(-5) + 48/40. Let w(b) = n - 3*b - 2*b + 4*b + 0*b. Let y(h) = -h + 2. Calculate 3*w(o) - y(o). -2*o + 1 Let a(g) = -2*g**2 - 2*g - 9. Let x(i) be the first derivative of -i + 59. Calculate a(t) - 6*x(t). -2*t**2 - 2*t - 3 Let f(u) = u**3 - u**2 - 1. Suppose 3*x = -2*x + p + 30, -3*p + 5 = 4*x. Let s(n) = 3*n**3 - 5*n**2 - n - 3. Calculate x*f(b) - s(b). 2*b**3 + b - 2 Let y = 224 - 227. Suppose 2*o - 5 = 3. Let z(h) = 0 - 3*h + 2*h + o. Let a(x) = x - 3. What is y*z(r) - 4*a(r)? -r Let l(d) = -d. Let s(f) = -2*f + 1. Give 4*l(g) - 3*s(g). 2*g - 3 Let s(b) = -b**3 - 5*b**2 - 5*b. Let w be -3*58/(-6)*-1. Let h = 47 + w. Suppose -n + h = 2*n. Let p(u) = -u**3 - 6*u**2 - 6*u. Calculate n*s(r) - 5*p(r). -r**3 Let r(u) be the second derivative of -u**3/3 - 2*u. Let v(s) be the third derivative of -s**5/60 + 11*s**4/24 + 6*s**2. Calculate 11*r(k) + 2*v(k). -2*k**2 Let x(i) = 2*i - 1. Let h be x(1). Let a(s) = -4*s**3 - 2. Let r(g) = -g**3 - 1. What is h*a(v) - 2*r(v)? -2*v**3 Let x(y) = 3*y + 8. Let c(r) be the second derivative of -r**3/3 - 5*r**2/2 + 4*r. Suppose 17 + 8 = 5*o. Determine o*x(d) + 8*c(d). -d Let y(m) = 5*m - 5. Let v(u) = -5*u + 4. Suppose 3*d = -8 - 1. Calculate d*y(g) - 4*v(g). 5*g - 1 Let u(v) = 20*v. Let z(s) = -14*s + 7. Let a(b) = -b + 1. Let f(g) = -7*a(g) + z(g). Determine 8*f(h) + 3*u(h). 4*h Let n(u) = -u**2 - 4*u - 8. Let g(r) = 6*r + 6. Let d(q) = -q - 1. Let z(c) = -5*d(c) - g(c). Give -n(w) + 6*z(w). w**2 - 2*w + 2 Let g(w) = -w - 1. Let y be g(-3). Let q(a) = 1 - 6 + 2*a + 2 - a**2 + 1. Let o(s) = -2*s**2 + 3*s - 3. Calculate y*o(f) - 3*q(f). -f**2 Suppose -3 - 9 = 2*b. Let x(s) = -4*s**3. Let z(r) = 5*r**3. Suppose -4*q - 5*n - 20 = 0, q = -3*q - 4*n - 16. Suppose q = 3*v + 15. Determine b*x(p) + v*z(p). -p**3 Let a(j) = -j**3 + 4*j**2 - 4*j + 2. Let k(q) = -3*q**2 + q**3 - q + 0*q + 4*q**2 - 2*q**3. What is a(v) - 4*k(v)? 3*v**3 + 2 Let h(m) = 12*m**3 + m + 2. Let j(y) = -6*y**3 - 1. Calculate -2*h(w) - 5*j(w). 6*w**3 - 2*w + 1 Let t(f) = -f**2 + f. Let z(s) be the second derivative of -s**4/12 + s**3/2 + 8*s. What is -3*t(c) + z(c)? 2*c**2 Let d(n) = -24*n. Let x(g) = g + 1. Let a(k) = -d(k) - 12*x(k). Let c(r) = r - 1. Calculate -2*a(l) + 22*c(l). -2*l + 2 Suppose -2*i - 4 + 12 = 0. Let c(m) = 0*m - i*m + 2*m. Let t(z) = -z. Determine 2*c(v) - 5*t(v). v Let t(d) = -d + 4 + 4 - 4. Let f(y) = -3*y + 9. Let n(p) = -p**2 - 5*p + 8. Let k be n(-6). Suppose k*r - r = -3. What is r*f(o) + 7*t(o)? 2*o + 1 Let a(o) = 3*o + 2. Let x(r) = -7*r - 3. Give -7*a(c) - 4*x(c). 7*c - 2 Let o(i) = -i. Let b(d) = -6*d + 10 + 12*d - 10. What is -2*b(l) - 15*o(l)? 3*l Let f(m) = -100*m + 204*m - 100*m + 2. Let w(u) = -u + 1. Calculate f(o) + 2*w(o). 2*o + 4 Let p(m) = -4*m**3 - 2*m**2 + 3*m + 2. Let c(k) = 5*k**3 + 2*k**2 - 4*k - 3. Determine 2*c(g) + 3*p(g). -2*g**3 - 2*g**2 + g Let n(i) = -10*i**3 + 5*i**2 - 3. Let o(c) = 11*c**3 - 6*c**2 + 4. Determine 6*n(u) + 5*o(u). -5*u**3 + 2 Let r(d) = -11*d - 2. Let j(p) = 7*p - 11 + 10 + 2. Let g be 2/(-4)*0/(-2). Let l be 10/(-2) + g + 0. Determine l*r(n) - 8*j(n). -n + 2 Let d(p) be the first derivative o
{ "pile_set_name": "DM Mathematics" }
700? 69300 Calculate the common denominator of -91/16 and 83/31986. 255888 Calculate the common denominator of -1/7660 and -23/56. 107240 What is the common denominator of -13/445 and 145/4272? 21360 What is the lowest common multiple of 504 and 6? 504 Calculate the least common multiple of 414060 and 55. 4554660 Calculate the smallest common multiple of 114 and 4983. 189354 Calculate the lowest common multiple of 34206 and 205236. 205236 Calculate the common denominator of -19/420 and 4/5817. 116340 What is the common denominator of 125/182 and 67/7956? 55692 Find the common denominator of 13/189775 and 38/9. 1707975 What is the common denominator of 67/3488 and 95/654? 10464 What is the lowest common multiple of 13605 and 10? 27210 What is the least common multiple of 122 and 16714? 16714 What is the least common multiple of 168 and 54396? 761544 Find the common denominator of -1/500216 and 37/48408. 1500648 What is the least common multiple of 397406 and 946? 4371466 What is the least common multiple of 472536 and 9? 472536 What is the lowest common multiple of 110363 and 50165? 551815 Calculate the smallest common multiple of 1298 and 110. 6490 What is the least common multiple of 36089 and 13623? 2057073 Calculate the lowest common multiple of 13455 and 138. 26910 Find the common denominator of 71/19158 and 37/9641. 5958138 What is the smallest common multiple of 2580 and 24000? 1032000 What is the lowest common multiple of 427 and 17019? 119133 What is the least common multiple of 1168 and 6278? 50224 Calculate the lowest common multiple of 204134 and 320782. 2245474 Calculate the smallest common multiple of 100 and 5125. 20500 Calculate the common denominator of -18/5 and 79/43155. 43155 What is the common denominator of -37/22014 and -121/10? 110070 Calculate the common denominator of 7/19260 and -169/1260. 134820 What is the common denominator of 143/204 and 25/27948? 27948 Calculate the smallest common multiple of 787338 and 30. 3936690 Calculate the common denominator of 107/99180 and 181/25230. 2876220 Calculate the common denominator of -111/3374 and 79/15183. 30366 Calculate the smallest common multiple of 9020 and 3157. 63140 What is the smallest common multiple of 3317467 and 5? 16587335 Find the common denominator of -55/236688 and 97/236688. 236688 Calculate the lowest common multiple of 3021 and 36. 36252 Calculate the lowest common multiple of 239522 and 31242. 718566 Find the common denominator of 47/8240 and 3/8240. 8240 Calculate the least common multiple of 3 and 2508156. 2508156 Calculate the common denominator of 15/57464 and 55/20896. 229856 Calculate the lowest common multiple of 100 and 25620. 128100 Calculate the smallest common multiple of 3 and 10632. 10632 What is the smallest common multiple of 12 and 48128? 144384 Find the common denominator of 23/212820 and -67/21282. 212820 What is the lowest common multiple of 424665 and 424665? 424665 Calculate the smallest common multiple of 47140 and 310. 1461340 Find the common denominator of 64/1665 and -71/777. 11655 Find the common denominator of -73/10 and 44/73291. 732910 Find the common denominator of 5/56 and 43/4220. 59080 What is the smallest common multiple of 99 and 363? 1089 What is the least common multiple of 531000 and 180? 531000 What is the lowest common multiple of 3076 and 1180? 907420 Calculate the common denominator of 81/460 and -79/18. 4140 Calculate the common denominator of 7/57573 and 139/144. 921168 What is the smallest common multiple of 3534 and 12369? 24738 Calculate the common denominator of -5/66512 and 77/8314. 66512 Find the common denominator of -53/40 and -4/35615. 284920 Calculate the smallest common multiple of 14220 and 48. 56880 Calculate the least common multiple of 234 and 195. 1170 What is the lowest common multiple of 7152 and 18? 21456 Find the common denominator of 31/58110 and -3/520. 232440 What is the common denominator of -127/220 and 57/620? 6820 What is the least common multiple of 13908 and 2562? 97356 What is the smallest common multiple of 46368 and 7728? 46368 What is the lowest common multiple of 1366892 and 192520? 13668920 What is the common denominator of 83/34420 and -67/37862? 378620 Calculate the smallest common multiple of 261018 and 853. 261018 What is the smallest common multiple of 52752 and 84? 52752 Find the common denominator of 65/21376 and -29/4. 21376 Calculate the lowest common multiple of 6 and 80046. 80046 Find the common denominator of 2/32351 and 129/26642. 452914 What is the common denominator of -43/15108 and -93/52? 196404 Find the common denominator of 73/35772 and 43/23848. 71544 Calculate the least common multiple of 293304 and 4488. 4986168 What is the lowest common multiple of 202271 and 1494? 3640878 Find the common denominator of -131/2382 and -121/294. 116718 What is the lowest common multiple of 188552 and 728? 188552 What is the lowest common multiple of 1010 and 56560? 56560 Find the common denominator of -81/3836 and -83/115080. 115080 What is the smallest common multiple of 27 and 6768? 20304 Calculate the common denominator of -36/5509 and 103/42. 33054 Calculate the common denominator of -25/65857 and 5/41909. 460999 What is the least common multiple of 10364 and 59? 611476 Calculate the lowest common multiple of 7470 and 20916. 104580 What is the common denominator of 27/2156 and 37/16? 8624 Calculate the lowest common multiple of 33000 and 5000. 165000 Find the common denominator of 97/1162068 and -35/290517. 1162068 Find the common denominator of -113/529368 and 13/414. 1588104 Calculate the smallest common multiple of 21165 and 2739. 232815 Calculate the lowest common multiple of 172458 and 8844. 344916 Calculate the common denominator of -69/380 and -27/57950. 115900 Calculate the smallest common multiple of 24 and 2631. 21048 Calculate the common denominator of -101/8 and -38/57345. 458760 What is the common denominator of -109/536508 and 181/4284? 9120636 What is the common denominator of -125/3318 and 27/12719? 76314 Calculate the common denominator of -83/44940 and 123/74900. 224700 Calculate the common denominator of -3/9334 and -91/114. 532038 Find the common denominator of -67/13536 and 59/34263. 1096416 What is the common denominator of -101/334 and 9/27388? 27388 Calculate the lowest common multiple of 7826 and 98280. 4226040 Calculate the common denominator of 64/55 and 18/48475. 533225 Calculate the common denominator of 77/1426 and -81/2. 1426 What is the smallest common multiple of 1978301 and 6? 11869806 Find the common denominator of -119/120 and -119/3504. 17520 Calculate the common denominator of -29/78 and 23/654. 8502 Calculate the common denominator of -48/125783 and 30/187. 1383613 Calculate the least common multiple of 8724 and 549. 1596492 What is the common denominator of -25/752 and 131/16074? 128592 Find the common denominator of -85/8 and -25/20972. 41944 What is the common denominator of -115/154 and 19/846? 65142 Find the common denominator of 191/11610 and 143/210. 81270 What is the lowest common multiple of 11825 and 9675? 106425 Calculate the common denominator of 5/583 and -48/11. 583 Calculate the common denominator of 61/39425 and -139/8550. 709650 Calculate the common denominator of 32/1735327 and 30/52877. 19088597 What is the least common multiple of 3180 and 2544? 12720 Find the common denominator of -39/43246 and -11/1297380. 1297380 Calculate the common denominator of -107/52 and 21/590785. 2363140 Calculate the smallest common multiple of 262 and 10. 1310 What is the least common multiple of 60 and 14148? 70740 What is the lowest common multiple of 18 and 8966? 80694 Find the common denominator of 13/112 and 53/706006. 5648048 What is the smallest common multiple of 351 and 2808? 2808 Calculate the common denominator of 34/6687 and -133/387846. 387846 What is the smallest common multiple of 1482720 and 18534? 1482720 What is the common denominator of -35/228882 and 139/444? 457764 Find the common denominator of 43/69153 and -14/111. 69153 What is the lowest common multiple of 1932 and 1909? 160356 What is the lowest common multiple of 36 and 129344? 1164096 Calculate the least common multiple of 10 and 200046. 1000230 Find
{ "pile_set_name": "DM Mathematics" }
s 260 minutes after 4:39 AM? 8:59 AM What is 657 minutes after 6:42 PM? 5:39 AM What is 547 minutes after 8:42 AM? 5:49 PM How many minutes are there between 7:07 AM and 8:51 AM? 104 What is 611 minutes before 8:08 PM? 9:57 AM How many minutes are there between 11:04 AM and 11:24 AM? 20 What is 295 minutes after 5:58 PM? 10:53 PM What is 318 minutes after 3:39 PM? 8:57 PM How many minutes are there between 3:46 AM and 9:52 AM? 366 What is 480 minutes before 1:59 AM? 5:59 PM How many minutes are there between 5:20 PM and 12:05 AM? 405 How many minutes are there between 6:00 AM and 8:39 AM? 159 How many minutes are there between 9:42 AM and 8:43 PM? 661 How many minutes are there between 8:47 AM and 12:44 PM? 237 How many minutes are there between 10:43 AM and 5:47 PM? 424 How many minutes are there between 8:29 PM and 10:24 PM? 115 How many minutes are there between 9:05 AM and 10:27 AM? 82 What is 703 minutes before 10:42 PM? 10:59 AM What is 454 minutes before 11:00 AM? 3:26 AM What is 553 minutes after 8:00 AM? 5:13 PM How many minutes are there between 4:24 PM and 8:28 PM? 244 What is 647 minutes after 5:42 AM? 4:29 PM How many minutes are there between 8:16 PM and 2:42 AM? 386 How many minutes are there between 5:51 PM and 3:24 AM? 573 What is 627 minutes after 11:39 PM? 10:06 AM How many minutes are there between 3:45 PM and 2:52 AM? 667 What is 568 minutes before 10:41 AM? 1:13 AM What is 620 minutes after 9:43 AM? 8:03 PM How many minutes are there between 1:01 PM and 7:12 PM? 371 What is 681 minutes after 11:57 PM? 11:18 AM What is 445 minutes before 1:35 AM? 6:10 PM How many minutes are there between 1:04 AM and 2:36 AM? 92 How many minutes are there between 8:40 PM and 5:04 AM? 504 How many minutes are there between 4:06 AM and 4:08 AM? 2 How many minutes are there between 4:45 AM and 7:14 AM? 149 How many minutes are there between 1:54 AM and 8:19 AM? 385 How many minutes are there between 6:39 PM and 4:48 AM? 609 How many minutes are there between 2:07 AM and 11:06 AM? 539 What is 128 minutes before 5:51 AM? 3:43 AM What is 249 minutes before 5:59 AM? 1:50 AM How many minutes are there between 3:05 AM and 11:55 AM? 530 How many minutes are there between 11:47 PM and 6:37 AM? 410 What is 485 minutes before 9:55 AM? 1:50 AM What is 38 minutes before 7:56 PM? 7:18 PM How many minutes are there between 10:17 AM and 1:07 PM? 170 How many minutes are there between 10:45 PM and 9:16 AM? 631 What is 418 minutes before 12:01 PM? 5:03 AM What is 20 minutes before 8:07 PM? 7:47 PM How many minutes are there between 1:42 AM and 7:35 AM? 353 What is 616 minutes after 9:34 AM? 7:50 PM What is 578 minutes before 2:43 PM? 5:05 AM What is 376 minutes before 2:13 PM? 7:57 AM What is 568 minutes after 7:18 PM? 4:46 AM What is 570 minutes before 5:41 PM? 8:11 AM What is 102 minutes after 7:50 AM? 9:32 AM How many minutes are there between 1:15 AM and 1:48 AM? 33 How many minutes are there between 2:25 AM and 10:27 AM? 482 What is 418 minutes before 5:38 AM? 10:40 PM How many minutes are there between 5:39 PM and 5:24 AM? 705 What is 296 minutes after 3:40 AM? 8:36 AM How many minutes are there between 7:23 AM and 2:17 PM? 414 What is 156 minutes after 9:11 PM? 11:47 PM How many minutes are there between 8:31 AM and 8:51 AM? 20 What is 366 minutes before 4:16 PM? 10:10 AM What is 564 minutes after 12:33 PM? 9:57 PM What is 302 minutes before 5:58 AM? 12:56 AM What is 599 minutes after 12:26 AM? 10:25 AM How many minutes are there between 12:51 PM and 2:41 PM? 110 How many minutes are there between 3:29 PM and 11:22 PM? 473 How many minutes are there between 8:54 AM and 2:07 PM? 313 How many minutes are there between 12:52 PM and 5:22 PM? 270 What is 611 minutes after 3:29 AM? 1:40 PM What is 690 minutes after 2:49 PM? 2:19 AM How many minutes are there between 3:25 AM and 4:05 AM? 40 How many minutes are there between 7:15 PM and 1:43 AM? 388 What is 675 minutes after 4:53 PM? 4:08 AM What is 672 minutes after 9:26 PM? 8:38 AM What is 710 minutes before 3:18 PM? 3:28 AM What is 591 minutes after 10:40 AM? 8:31 PM What is 304 minutes before 11:41 PM? 6:37 PM What is 458 minutes after 6:46 PM? 2:24 AM What is 491 minutes after 1:51 PM? 10:02 PM What is 354 minutes before 2:33 PM? 8:39 AM How many minutes are there between 5:57 PM and 1:57 AM? 480 What is 332 minutes after 9:51 PM? 3:23 AM How many minutes are there between 11:25 PM and 2:29 AM? 184 How many minutes are there between 12:39 AM and 10:07 AM? 568 How many minutes are there between 2:02 AM and 8:08 AM? 366 What is 488 minutes before 12:27 AM? 4:19 PM How many minutes are there between 1:10 AM and 4:53 AM? 223 What is 48 minutes after 1:55 PM? 2:43 PM How many minutes are there between 9:30 AM and 5:53 PM? 503 What is 203 minutes after 4:51 PM? 8:14 PM How many minutes are there between 12:34 PM and 6:19 PM? 345 How many minutes are there between 1:55 PM and 12:15 AM? 620 How many minutes are there between 2:01 PM and 7:28 PM? 327 What is 503 minutes before 10:10 PM? 1:47 PM How many minutes are there between 4:46 AM and 12:12 PM? 446 How many minutes are there between 1:16 PM and 1:11 AM? 715 What is 706 minutes before 6:48 AM? 7:02 PM What is 680 minutes before 4:54 PM? 5:34 AM How many minutes are there between 3:40 AM and 9:24 AM? 344 How many minutes are there between 3:09 PM and 6:23 PM? 194 How many minutes are there between 3:29 PM and 3:28 AM? 719 How many minutes are there between 9:40 AM and 7:50 PM? 610 What is 77 minutes after 6:01 PM? 7:18 PM How many minutes are there between 10:02 PM and 9:29 AM? 687 How many minutes are there between 11:35 PM and 6:03 AM? 388 How many minutes are there between 11:14 PM and 12:10 AM? 56 What is 42 minutes before 7:41 PM? 6:59 PM How many minutes are there between 11:08 PM and 4:32 AM? 324 How many minutes are there between 10:48 AM and 3:14 PM? 266 How many minutes are there between 2:11 AM and 6:36 AM? 265 How many minutes are there between 6:36 PM and 10:46 PM? 250 How many minutes are there between 1:27 PM and 12:28 AM? 661 How many minutes are there between 11:42 AM and 5:27 PM? 345 How many minutes are there between 8:24 PM and 4:25 AM? 481 How many minutes are there between 8:17 PM and 6:42 AM? 625 How many minutes are there between 8:26 PM and 3:29 AM? 423 How many minutes are there between 4:29 PM and 8:00 PM? 211 What is 402 minutes after 12:11 PM? 6:53 PM How many minutes are there between 3:32 PM and 3:01 AM? 689 How many minutes are there between 9:51 AM and 2:46 PM? 295 How many minutes are there between 4:37 AM and 9:52 AM? 315 What is 481 minutes after 4:42 AM? 12:43 PM What is 238 minutes after 11:02 PM? 3:00 AM What is 652 minutes after 3:09 PM? 2:01 AM How many minutes are there between 6:51 PM and 10:51 PM? 240 What is 97 minutes after 1:55 AM? 3:32 AM How many minutes are there between 9:39 PM and 4:27 AM? 408 What is 520 minutes after 8:15 AM? 4:55 PM What is 617 minutes after 1:13 PM? 11:30 PM What is 332 minutes after 5:12 AM? 10:44 AM What is 679 minutes after 1:06 AM? 12:25 PM How many minutes are there between 10:00 PM and 9:37 AM? 697 What is 71 minutes before 7:37 AM? 6:26 AM What is 295 minutes after 8:58 AM? 1:53 PM How many minutes are there between 4:11 AM and 1:09 PM? 538 What is 444 minutes before 4:38 PM? 9:14 AM What is 91 minutes after 2:07 PM? 3:38 PM What is 578 minutes before 2:28 AM? 4:50 PM How many minutes are there between 7:53 PM and 9:23 PM? 90 How many minutes are there between 1:34 AM and 8:05 AM? 391 How many minutes are there between 2:37 AM and 10:49 AM? 492 What is 154 minutes before 1:55 AM? 11:21 PM How many minutes are there between 9:10 AM and 12:47 PM? 217 What is 69 minutes after 4:49 AM? 5:58 AM How many minutes are there between 2:05 PM and 12:02 AM? 597 How many minutes are there between 6:32 PM and 2:37 AM? 485 What is 289 minutes after 1:44 PM? 6:33 PM What is 430 minutes before 3:37 PM? 8:27 AM How many minutes are there between 11:42 AM and 9:28 PM? 586 What is 582 minutes before 7:16 PM? 9:34 AM How many minutes are there between 2:52 AM and 9:37 AM? 405 How many minutes are there between 10:27 PM and 10:41 PM? 14 How many minutes are there between 3:46 AM and 4:05 AM? 19 Ho
{ "pile_set_name": "DM Mathematics" }
02/268). -2/57 What is the value of (-258 - -274 - -2*(3 + -2)) + -15? 3 What is (-25)/(-130)*4*(-35)/75*446/1561? -4/39 What is 6/((-5676)/517) - (-7 + 2)/10? -2/43 Evaluate (20208/(-252) + 36 + 44)/(6*2/(-154)). 22/9 Calculate -89 - (11809/(-343) + (-110)/(-77)). -56 ((-2160)/6240)/((-9)/146) - ((-9)/3 + 7) 21/13 (-12)/39 + (-312576)/11648 + 26 -8/7 Calculate ((-860)/25)/((-18095)/175 + 103). 86 Calculate (2*18 + 128/32)*182/104. 70 What is the value of 5 + -1 - (35 - 58 - -6)? 21 Evaluate ((-159)/636)/(329/1880). -10/7 184/16*13520/3887 40 What is 72 + -157 + 203 + 4? 122 What is (-89)/(-9) + (546 - 556)? -1/9 Calculate (12 - (104813/8430 - (-2)/(-20)))*-51. 17 (6/9)/(3149020/(-19320) - -163) 92 What is (-34)/(-2) - (29 + 51)? -63 Evaluate -3 - (-494)/(-57 + 38). -29 8/(-90)*(129428/(-608) + 211) 1/6 Evaluate -26 + (3914/(-38) + 13 - -11). -105 Evaluate (-126)/2 - (-3)/2*((-40600)/(-348))/(-175). -64 144/(-360) - (6 - (-2742)/(-330) - -2) -1/11 What is (-629)/6 + (300/90)/(48 - 44)? -104 What is ((-14490)/(-1170) + -15)/((-2)/(-26))? -34 What is 289/(-630) + (-3476)/(-7821)? -1/70 -45*(23667/(-245) - -99) -108 What is ((-20)/(-56))/((32200/98)/(-46))? -1/20 What is ((-7)/(-3) - 1)*((-707610)/(-916) - 693)? 106 Calculate 115472/2062 - (-20502)/(-366). -1/61 What is the value of (-25)/10*((-30)/175*77 + 16)? -7 What is the value of (37/(-555)*3)/(12/(-20) + 0)? 1/3 ((-5007)/(-1151610))/((-8)/(-276)) 3/20 What is 2093/(-920) + (2/(-4))/(9/(-4) - -1)? -15/8 What is the value of (-40)/(-18) + 21284/5634 + -47? -41 Calculate (((-180)/(-8))/5)/((-41652)/(-2136)). 3/13 70/6 + -11 + (-1)/(-4)*(-31124)/(-5271) 15/7 7 - 159/24 - 34*(-18)/(-96) - 3 -9 Calculate ((-580)/406 - ((-8275)/1015 + 7))*(-15)/40. 3/29 25 + ((-3311)/43 - -35) -17 (253/308)/((-9)/(-198)) + -18 1/14 What is the value of 2 + ((-11)/121 - 10705/5665)? 2/103 Evaluate (12282/442152)/((-1)/(-1332)). 37 What is the value of ((-414)/42 + 9)*(-588)/(-1512)*(-8)/42? 4/63 Calculate (-1537 - 11)/(-36) - 5. 38 (2 + -7 + 3)/((-12 + 6)/3) 1 What is -1*(-26)/(-3042)*36*(-10)/(-4)? -10/13 What is -22 - (-2 + (-57232)/2856)? 2/51 What is 9 + 1 + 2 + 2*82/((-2460)/1125)? -63 ((-184)/(-7) - 39026/(-10507)) + 33 63 Calculate ((-383616)/(-270))/48*30/(-12). -74 Evaluate (-303)/(66054/4796) - 55/(-2). 11/2 What is (-24708)/2982*(-28)/290? 4/5 Calculate -19 + 1890/(-108)*40/35. -39 (-2)/(-27) + (-142)/(-25)*(-990)/(-10692) 3/5 What is (16465/(-267) + 50)/(5/(-27)) + -18? 45 What is the value of (37 + -30 + (-62)/10)/(4 + 512/(-140))? 7/3 Calculate (-1342)/(-418) + -7 + (-84)/399*-19. 4/19 Calculate 0/1 + 3 + (-30)/(-135)*2838/(-176). -7/12 (-372658)/37787 - (-10)/1 4/29 Evaluate 24/(-2) - (-656)/416*52. 70 Evaluate ((-6)/(-8))/(10/(-4)) - 188494/139040*-88. 119 Calculate 428/(-16371)*(-11 + 2). 4/17 What is -32 + -705*71/(-1065)? 15 What is the value of 9092/(-142) - (-12368 + 12304)? -2/71 Calculate (-26)/(11466/7749) + 24. 45/7 Evaluate (-45 - (13 + 11))*(-32)/368. 6 Calculate (-3240)/(-972)*(-1)/(-25)*(2 - (-1168)/(-24)). -56/9 Calculate (14*15/(-8) - (-375)/(-300))/(1/2). -55 Evaluate (21/(6384/(-11020)))/((-15)/20*(-10)/(-12)). 58 What is the value of -11 + 37 + (-23 - -12) + -2 + 222/(-18)? 2/3 Evaluate (-28835)/(-57670) + ((-1)/(28/27)*8)/4. -10/7 What is (-15288)/(-182182)*(-242)/4? -66/13 What is (3*5 - 68/(-16184)*-4214)*-17? 46 What is the value of -57 + 1632/((-2208)/(-46))? -23 What is the value of (2/6)/(22294/(-470058)) + 7? -2/71 What is (-216)/(-9)*((-64)/(-6) - (76/(-4) + 29))? 16 Evaluate (3/60)/(24/192) - (156/28 - 5). -6/35 What is 1/((-3)/(-27)) + (-38 + 45 - (119 - 3))? -100 Calculate (13 - (7 + 969/170)) + (-357)/(-910). 9/13 Evaluate (-15)/40 - (51/(-72))/(23/(-345)). -11 What is (-148)/(-572) + 68/(-374) + 82/(-559)? -3/43 What is the value of (-257)/(-434) + (-6318)/(-32643)? 11/14 What is 21/(-6)*5 - (-16)/(-1056)*429? -24 26/65*1460/(-219)*(6 + 0/(-1)) -16 What is the value of (-22)/99 + (-719)/(-360) + 8 + 126/(-15)? 11/8 What is the value of 62/(-3)*(-30*108/(-180))/(6 - 2)? -93 What is 6/2 + (153/((-7803)/(-34)))/((-8)/34)? 1/6 (-5)/10*((-693)/812 - 1*27/(-36)) 3/58 Evaluate 114*((-2322)/(-144) - 16)/(21/56). 38 What is 48557/(-823) + 64/(-4)? -75 What is 418/(-28) + (6/(-30))/(1190/425) + -16? -31 What is the value of 10/((17 - -129) + -201)? -2/11 What is (-345)/25*(1/2)/((-261)/870)? 23 Calculate ((-34)/(-6))/(8652/(-129780)). -85 Evaluate (-1 + (-45)/24)/(29 - 15708/544). -23 Calculate -4 + -17 + -27*(-43526)/55944. 1/148 Calculate (1089/(-132))/((-2)/(-3) + (18 - 3178/168)). 33 ((-122364)/34608)/(3/(-7)) 33/4 Calculate 192/(-36)*3/(-4) + -16 - -36. 24 (-1139)/(-335) + 280/(-75) -1/3 Evaluate (-251)/6 - (-10800)/240. 19/6 -8*2366/364*100/(-130) 40 What is the value of ((-4)/(-9))/((-32560)/6600*20/(-12))? 2/37 What is the value of (76/(-6))/((-2107)/(-2352)) + (17 - 3)? -6/43 What is the value of (6 - 160/(-1530)) + (-17 - (-2910)/170)? 56/9 Evaluate 16 + ((3885/(-28))/5 - 339/(-452)). -11 Evaluate (-585)/52*(0 + -1)/((-2119)/52 - -41). 45 What is 757575/(-23205)*(-102)/30? 111 What is the value of (3/6 - (-4 + 167/38)) + (-92276)/29716? -3 What is the value of (168/56 - 12)/((-15)/(-50))? -30 What is the value of 15252/4551 + 60/(-18)? 2/111 Calculate (66/(-60)*17/(-374)*2)/(1/5). 1/2 What is the value of 29551/13688 - (-29 - 20556/(-708))? 17/8 What is the value of ((-9)/(-21))/(0 - 3 - 67134/(-22211))? 19 What is 21/(-882)*-12 - (-264)/(-1463) - (-188)/(-342)? -4/9 What is ((-12)/(-8))/(962/444 - 16/6)? -3 4 + -2 + 75/(-36) - (-5)/(-600)*542 -23/5 Calculate (-5*18/(-135))/(-63 + 51 - (-34)/3). -1 What is the value of ((124/(-403))/((-264)/143))/(11/4)? 2/33 What is the value of (-284)/9 + (-112 - (-101404)/909)? -32 Evaluate 14 + (-2188)/156 - (-18854)/(-858). -22 What is ((-1259871)/(-27094))/((((-15)/(-48))/5)/((-3)/18))? -124 What is the value of 6 + 21870/(-230) + (-376)/(-23782)*33/6? -89 Calculate 6 + 0/(7 + -2) - (-12810)/(-854). -9 What is 12 - 1/7*(-60 + 143)? 1/7 Calculate (6/(-30))/(3/(-2) + 3 - (100 - 99)). -2/5 What is 40/(-8)*5/(75/657)*4/12? -73 What is the value of 45/((-280125)/(-33350)) - (-160)/(-30)? 2/83 What is the value of (29/(609/105) + -15 - -1) + (-224)/(-2)? 103 Evaluate (6/(-10))/((-15)/35 - (-15 + 22451/1540)). 84 Evaluate (55 - 56)*(-3 - 2834/(-949)). 1/73 Calculate -7 - (29 - (-1932)/(-60))/(4/(-30)). -31 11601/(-3807) + 342/(-5358) -28/9 Calculate ((-117)/12)/((-21229)/19596). 9 What is the value of 6804/(-5832) - 1/(6/(-5))? -1/3 Calculate (-1792)/(-180)*(-261)/348*-15. 112 What is (1/3 - 497/15)/(5423/145 - 37)? -82 Evaluate ((-11)/(-2))/(45628/(-49776)). -6 (2120/(-795))/(40/165) -11 838455/447176 - (734/272 - 1) 3/17 Evaluate (-64 - 437/(-23))/5. -9 (-6)/8 + 4107/4884 + (-2)/(2838/151) -2/129 What is ((-378)/4 + 96)*(-8)/(-3)? 4 ((-24)/45)/((-12)/(-300))*(-156)/65 32 What is ((6/16)/((-2)/(-8)))/(-373 + (-620913)/(-1668))? -2 Evaluate (-177*(-3)/(-108))/(28/4032*-12). 59 -1 + -167 - ((-28)/2 - (-195)/11700*-120) -152 What is the value of (-14)/175*5 - 14/(-6825)*-30? -6/13 Evaluate (155/(-2))/(30060/(-1336) + (-2 - -27)). -31 (-198)/(-13266) - 17360/469 -37 Calculate (273/(-78))/((-15)/((-13110)/(-161))). 19 What is ((-104)/(-156))/((-1 - (-168)/9)*(-145)/(-29))? 2/265 What is the value of (-105)/124950*-102*28/6? 2/5 What is the value of ((-1584)/324)/((-15)/27) + (4 - 76/20)? 9 Calculate 48 + -29 - (-8 + 11). 16 What is the value of (-4030)/930*(10/(-45) + (-48)/(-702)*1)? 2/3 What is the value of 80/2*(76200/500)/127? 48 Calculate 25/(-50)*(8 + 4480/100) + 24/(-15). -28 Calculate (-2)/5 - (284 + -272 + 228/(-20)*1). -1 What is the value of 249/(-624) - (-1)/4 - 17300/(-112450)? 1/208 What is the value of (702/(-18) - -58) + 285/(-12)? -19/4 Evaluate (-1070)/2996*(-5)/25. 1/14 Evaluate (-1 + 0)*(-93149)/13307. 7 What is the value of (-2)/4*(-4445)/1270*(-4)/(24/(-9))? 21/8 What is the value of (-162 + 1)*2581/18067? -23 What is (-7 + (-85)/(-7))/(-12 + (-3380)/(-280))? 72 37902/(-39711) + (-162)/(-189) - 12/(-186) -2/61 Evaluate ((-316)/25991*-47)/((-2)/56). -16 (22/231*1281/244)/((-5)/2) -1/5 Calculate (12/4)/(((-3)/522)/((121/(-198))/11)). 29 (30569/(-539) - -56)*133/(-2) 95/2 (-17)/272*6/1 - 2727/(-360) 36/5 What is th
{ "pile_set_name": "DM Mathematics" }
duct of 8 and 34.1? 272.8 Multiply 1 and 0.069. 0.069 What is the product of -14 and -22.33? 312.62 0*5373 0 Calculate -41*-2. 82 -2 * -55 110 Work out -479 * 0.2. -95.8 -0.2 * 31 -6.2 Product of -13.517 and 0.3. -4.0551 What is 0.68 times -0.25? -0.17 Work out -38 * 2. -76 0.1*220.9 22.09 What is -0.83 times 57? -47.31 Product of 5 and -41. -205 Work out 0.4 * 0.019. 0.0076 -0.23 times -0.437 0.10051 Product of -10 and 22. -220 -0.2 * 1.18 -0.236 0.4 * 1431 572.4 -0.1 * -14 1.4 -0.05*-10 0.5 Multiply -0.5 and 398. -199 Work out 0.48 * -0.1. -0.048 Multiply -0.1 and -0.334. 0.0334 3.5 times 747 2614.5 Product of -5 and -52. 260 Work out 0.2 * -44. -8.8 What is the product of -293 and 0.03? -8.79 0.7 * 0.1 0.07 Product of -0.8 and -0.12. 0.096 Product of 0.1 and 0.315. 0.0315 What is the product of 0.11 and -288? -31.68 -0.3 * 48 -14.4 What is 0.1 times 3.259? 0.3259 1 * 0.1462 0.1462 0.01943*0.5 0.009715 52*-0.15 -7.8 -0.82 times -0.1 0.082 4 * 0.929 3.716 Calculate -4*0.035. -0.14 Product of -0.45 and 0.4. -0.18 1*4 4 Product of -4 and -0.172. 0.688 1.2 times 10 12 Calculate -0.52*104. -54.08 Product of -0.414 and -0.02. 0.00828 Work out -133 * 4. -532 -119 * 1.3 -154.7 3625 * -5 -18125 -0.1*80 -8 What is the product of 644 and -4? -2576 Calculate -20.544*0. 0 Work out 0.2 * -0.003. -0.0006 What is the product of 0.5 and -0.003? -0.0015 What is the product of 1480 and 0.3? 444 Work out -67 * 1.02. -68.34 What is the product of 0.5 and -72? -36 What is the product of 16 and 0.2? 3.2 What is -0.7 times -5.25? 3.675 5*13 65 Calculate 299*9. 2691 -4 times 0.06 -0.24 Calculate 0.1*-0.033. -0.0033 Calculate -7*-760. 5320 Multiply -0.17 and 4.58. -0.7786 What is the product of -1 and -11.96? 11.96 What is the product of -0.7 and 0.09? -0.063 -5 times -870 4350 -2.6 times 10 -26 0*-13.1 0 Multiply 0 and -422. 0 What is the product of 12.9 and 0? 0 -0.06 times 668 -40.08 60 * 49 2940 0.08 * -263 -21.04 1121 times 0 0 Calculate 2517*-0.5. -1258.5 Product of 2.08 and 0.2. 0.416 1.2 times 3 3.6 4 times -0.157 -0.628 Multiply -7.729 and -3. 23.187 What is the product of 15 and 310? 4650 What is -0.5 times 1.7? -0.85 Multiply -49 and 1.1. -53.9 Product of -22 and -4.79. 105.38 What is 0.2 times -0.0496? -0.00992 0.4 * 7065 2826 0.5 times -353 -176.5 Calculate -3*0.049. -0.147 -3.084*1 -3.084 Multiply -5 and 0.028. -0.14 What is the product of -0.25 and 10? -2.5 -0.2 * -56.2 11.24 0.3 * -299 -89.7 Product of 0.1 and 0.4. 0.04 Calculate -0.0878*1. -0.0878 Product of -0.45 and 0.057. -0.02565 Multiply -1 and 8. -8 What is the product of 0.2 and -4.8? -0.96 -85.4 * 4 -341.6 Multiply 0.4 and -50. -20 -0.066*2.73 -0.18018 What is the product of 0.6 and -122? -73.2 -678*0.6 -406.8 What is the product of -0.3 and -2361? 708.3 -7 * -433 3031 Product of -0.7735 and 2. -1.547 -7.6 * 0.5 -3.8 What is the product of 100 and -0.2? -20 0.8*-175 -140 Product of -105 and -2.8. 294 1 times 321 321 Calculate 4*-0.42. -1.68 Multiply 3.64 and 2. 7.28 3145 * -0.3 -943.5 Work out -8 * -9. 72 -42 * 42 -1764 -0.1 * 164 -16.4 Product of 1 and 1457. 1457 Product of 4 and -0.1. -0.4 Product of 0.21 and 0.3. 0.063 What is 5 times -0.51? -2.55 What is the product of -0.3 and -0.41? 0.123 30*-57 -1710 0*-1478 0 Product of -1 and -29. 29 Work out -9.26 * 0.3. -2.778 Product of 0.2 and 0.021. 0.0042 Calculate -5403*-0.4. 2161.2 3 * -1089 -3267 0.3 times 9.4 2.82 What is the product of 0.35 and -33? -11.55 -173 * 7 -1211 Product of -27 and -0.93. 25.11 18*213 3834 Multiply -0.2 and -0.004. 0.0008 4 times -4.6 -18.4 Multiply -0.044 and 0.3. -0.0132 Work out 0.472 * 0.5. 0.236 What is the product of 0.4 and -0.71? -0.284 -5*-189 945 What is 0 times -1.35? 0 Work out -4.6 * 0.01. -0.046 What is the product of -0.4 and 89? -35.6 Product of 1.3 and -0.002. -0.0026 Calculate -1.5*-0.52. 0.78 -11 * -0.0498 0.5478 0.01*0.246 0.00246 What is the product of 3 and 3702? 11106 What is the product of -0.3847 and 4? -1.5388 Multiply 0.5 and -29. -14.5 Multiply -826 and -0.4. 330.4 -2 * -1570 3140 -0.4 * -0.1121 0.04484 1401*0.1 140.1 What is -0.5 times -42? 21 What is -1 times -508.5? 508.5 Multiply -5289 and 0.3. -1586.7 Work out -0.7 * -3143. 2200.1 0.5 * 29 14.5 Multiply 15 and -0.068. -1.02 2*-1.9 -3.8 Calculate 136*0.2. 27.2 -9 times -0.0017 0.0153 Work out 7 * 0.4439. 3.1073 5*0.1 0.5 2.1042 * 0.3 0.63126 -1488*0.5 -744 Multiply 989 and -5. -4945 0.3*13.23 3.969 What is -0.1 times 873? -87.3 -0.1 * -1630 163 What is the product of -2 and 0.197? -0.394 Product of -0.5 and 5319. -2659.5 What is the product of -5 and -0.19? 0.95 Multiply 477 and 0.3. 143.1 -420 times -0.4 168 Multiply -16.38 and -0.5. 8.19 109 times -1 -109 Multiply -0.1 and 150. -15 -9 * -55 495 -3031*3 -9093 Multiply 0.4 and -0.012. -0.0048 What is the product of 0.4 and -42.5? -17 What is -6367 times 5? -31835 0 * -0.19 0 Multiply -1 and 12.5. -12.5 -0.12 times 0.134 -0.01608 0.17 times -1 -0.17 -4681 times 3 -14043 What is the product of 2 and -4.1? -8.2 Multiply 498 and 2. 996 -0.5 * -191 95.5 -17 * -0.011 0.187 Multiply 23.09 and -1. -23.09 What is the product of -2 and 0.115? -0.23 Multiply -4020 and -3. 12060 Work out -25 * 0.053. -1.325 What is the product of -2 and 662? -1324 9 * 0.21 1.89 Work out 67 * 0.02. 1.34 What is the product of -3.5 and -25.2? 88.2 Work out 0 * 0.1. 0 Calculate 65*0.3. 19.5 Multiply 0.3 and 0.0065. 0.00195 What is the product of -327 and 15? -4905 Product of -2 and -102. 204 Work out -0.5 * 3.8. -1.9 What is -0.68 times 17? -11.56 9.9*4 39.6 -165*-2.4 396 What is the product of 0.5 and -481? -240.5 0.226 * -14 -3.164 0.3 times 1940 582 3.4*-97 -329.8 Multiply -0.01 and -11.9. 0.119 What is the product of 0.628 and 0.3? 0.1884 Multiply -0.1 and 39. -3.9 Work out -5402 * -0.1. 540.2 Work out 585 * -0.1. -58.5 Work out 4.8 * 4. 19.2 Work out -4.51 * -0.1. 0.451 Multiply 0.524 and -0.02. -0.01048 What is -1 times 53.7? -53.7 Work out 1179 * 4. 4716 173 * -0.5 -86.5 7075 * 2 14150 What is -59.9 times -0.5? 29.95 369.57 times -3 -1108.71 -0.4*0.523 -0.2092 Multiply -598 and -1. 598 Multiply -2 and 29. -58 Product of 0.02 and 12. 0.24 -0.04*-0.063 0.00252 Calculate 45*-0.007. -0.315 What is -3.9 times 11? -42.9 -0.036 * -0.018 0.000648 Calculate 10*-0.815. -8.15 What is the product of -12 and -14.4? 172.8 What is -0.213 times 0.2? -0.0426 3309 * 0.4 1323.6 Multiply -0.1 and -198.9. 19.89 -10 times -68 680 Work out -0.3 * 0.75. -0.225 Calculate 73*0.3. 21.9 Multiply -0.1 and -2. 0.2 Work out 0.15 * 52. 7.8 -8.91 times -3 26.73 Work out 5.8 * -5. -29 5 * -101 -505 -3 times 4.756 -14.268 1.7 * -0.05 -0.085 -330*0.4 -132 0 * 3.95 0 Work out -0.21 * -9. 1.89 0*-4 0 23 * -0.09 -2.07 0.053*0.198 0.010494 0.177*0.4 0.0708 What is the product of -0.05 and -22? 1.1 Work out -2 * -17.4. 34.8 What is the product of 0.189 and -0.4? -0.0756 1.89 * -0.13 -0.2457 -0.06 * 4.76 -0.2856 Product of -0.071 and -0.03. 0.00213 Calculate 0.1*207. 20.7 Product of -0.067 and 0.1. -0.0067 What is -1.6 times -1? 1.6 Multiply 0 and 1.06. 0 -2316 times -0.5 1158 Product of -7464 and 0.3. -2239.2 0.1*-595 -59.5 2 * 0.38 0.76 Calculate 0.00669*-4. -0.02676 Work out -4 * -0.202. 0.808 What is the product of 0.09 and -0.33? -0.0297 Calculate -636*0.6. -381.6 Product of -0.311 and 0.2. -0.0622 What is -9 times -21? 189 Calculate -23*-0.127. 2.921 Product of 0.1 and 1.21. 0.121 0.019 times -241 -4.579 What is 0.9 times -94? -84.6 What is -1 times 0.11? -0.11 0.01 times -166 -1.66 407 times -4 -1628 Multiply 0.2 and 600. 120 Calculate 0.322*9. 2.898 -2.1 times 1.4 -2.94 Multiply -0.5 and 0.038. -0.019 Product of 4 and -2.9. -11.6 What is 32 times 7? 224 Work out 0.3 * 0.042. 0.0126 Product of 408 and 1.7. 693.6 2 times -0.029 -0.058 Product of 0.05 and -0.07. -0.0035 -4*-0.03 0.12 What is the product of -120 and -11? 1320 What is the product of 162 and -2? -324 -0.2*-0.52 0.104 -0.24 * 44 -10.56 0.1*-0.54 -0.054 -52*-0.15 7.8 Product of 17349 and -3. -52047 7.8 * -5 -39 -5 times -11 55 -1821 * 0.5 -910.5 1 times 0.41 0.41 -1.03 times 1 -1.03 -15248 times 2 -30496 Work out -0.23 * -13. 2.99 Work out 46 * -0.4. -18.4 Calculate 2.489*-4. -9.956 -449.9 * -3 1349.7 0.09 * -1343 -120.87 -0.27 times -287 77.49 What is the product of 5490 and 0
{ "pile_set_name": "DM Mathematics" }
-20 Let a(m) = -m**2 - 157*m - 468. Give a(-3). -6 Let x(u) = 2*u**2 - 89. What is x(8)? 39 Let i(p) = -155*p + 142. Calculate i(0). 142 Let v(x) = -x**3 - 178*x**2 - 355*x - 526. What is v(-176)? 2 Let h(r) = -r**3 + 9*r**2 + 16*r + 7. Determine h(-2). 19 Let h(a) = 5*a**2 + 71*a + 227. Determine h(-5). -3 Let w(j) = -2*j**3 + 24*j**2 + 4*j + 30. What is w(12)? 78 Let a(m) = 6*m**2 - 1752*m - 5253. What is a(-3)? 57 Let a(d) = d**2 - 50*d + 25. Give a(14). -479 Let m(t) = -t**3 + 4*t**2 + 20*t - 4. Determine m(6). 44 Let b(z) = -186*z + 45585. What is b(245)? 15 Let p(n) = n**2 + 510*n + 35777. What is p(-84)? -7 Let r(t) = 3*t**3 + 10*t**2 + 9. Determine r(-4). -23 Let a(v) = -6*v**2 - 913*v + 763. What is a(-153)? -2 Let w(y) = 31*y - 9. Give w(7). 208 Let l(m) = -m**3 + 33*m**2 - 60*m + 26. Give l(31). 88 Let g(k) = 2*k**2 - 107*k - 978. Give g(-8). 6 Let t(s) = s - 102. Give t(8). -94 Let r(b) = -14*b**2 + 27*b + 10. What is r(5)? -205 Let i(a) = 8*a**3 - 42*a**2 + 19*a - 39. Determine i(5). 6 Let y(d) = 89*d**2 - 2939*d + 61. Give y(33). -5 Let h(c) = -211*c - 2096. Calculate h(-10). 14 Let y(t) = 14*t + 672. What is y(-49)? -14 Let d(g) = -6*g + 460. Determine d(63). 82 Let x(m) = -m**2 + 58*m + 63. Determine x(58). 63 Let t(x) = x**3 + 21*x**2 + 32*x + 126. Give t(-20). -114 Let b(k) = 8*k + 168. Give b(-7). 112 Let r(a) = a**2 - 31*a + 208. Determine r(26). 78 Let k(o) = 5*o**2 - 336*o + 964. Determine k(64). -60 Let x(z) = 31*z - 521. Give x(18). 37 Let f(q) = 14*q**2 - 167*q + 5. Calculate f(12). 17 Let x(i) = -2*i**3 - 152*i**2 - 287*i + 683. Calculate x(-74). 17 Let c(s) = s - 106. Give c(38). -68 Let o(n) = n**3 + 10*n**2 + 10*n - 41. What is o(-8)? 7 Let l(x) = x**3 - 34*x**2 + 33*x - 27. Calculate l(33). -27 Let t(h) = h**3 - 6*h**2 - 5*h - 56. Calculate t(-5). -306 Let i(x) = -x**3 + 13*x**2 + 303*x + 1143. Determine i(-7). 2 Let x(k) = k**3 + 46*k**2 + 510*k - 115. Calculate x(-27). -34 Let w(s) = 8*s**2 - 9*s - 20. What is w(-2)? 30 Let o(w) = -2*w**2 - 99*w - 76. Determine o(-58). -1062 Let x(r) = -16*r**2 - 698*r + 270. Calculate x(-44). 6 Let x(z) = -9*z**2 - 7*z + 11. What is x(2)? -39 Let v(i) = 2*i**2 - 32*i - 125. Determine v(19). -11 Let n(j) = -96*j + 3004. Calculate n(30). 124 Let r(p) = 4824*p - 38591. Determine r(8). 1 Let g(n) = 4*n - 27. Calculate g(6). -3 Let l(x) = -x**3 - 12*x**2 - 14*x - 183. Give l(-12). -15 Let u(f) = -f**3 + 112*f**2 + 109*f + 421. Give u(113). -31 Let z(n) = -3*n**3 + 5*n**2 - 11*n + 14. What is z(2)? -12 Let h(o) = -o**2 + 179*o - 7770. Give h(105). 0 Let c(p) = -p**3 - 23*p**2 - 48*p + 134. Determine c(-20). -106 Let y(m) = -m**3 - 16*m**2 + 27*m + 29. What is y(-18)? 191 Let q(v) = 924*v + 890. What is q(-1)? -34 Let d(f) = -2*f**3 + 190*f**2 - 7*f + 719. What is d(95)? 54 Let y(a) = -58*a - 338. Determine y(-9). 184 Let a(c) = -211*c - 1251. Give a(-6). 15 Let f(l) = 3*l**3 - 55*l**2 + 24*l + 752. Give f(17). 4 Let t(b) = 2*b**2 - 13*b + 48. What is t(5)? 33 Let y(l) = -110*l + 806. Determine y(9). -184 Let t(p) = -p**2 + 3*p + 385. Calculate t(-18). 7 Let k(a) = 3*a**2 - 14*a - 27. What is k(8)? 53 Let m(f) = -f**2 + 10*f + 77. Give m(-6). -19 Let o(f) = -4*f**2 + 104*f - 23. Calculate o(26). -23 Let v(b) = 6*b**3 + 67*b**2 + 29*b + 188. Calculate v(-11). -10 Let p(n) = -80*n**2 + 3*n + 11. Give p(-1). -72 Let n(o) = -o**3 + 44*o**2 - 103*o + 4527. What is n(44)? -5 Let y(x) = -x**3 - 10*x**2 + 10*x - 5. Determine y(-11). 6 Let l(w) = 10*w**2 + 113*w - 16. What is l(-6)? -334 Let b(s) = 23*s - 717. Calculate b(32). 19 Let i(l) = l**3 + 17*l**2 + 16*l - 29. Determine i(-16). -29 Let s(h) = -h**3 - 3*h**2 - 88*h - 265. Give s(-3). -1 Let p(m) = -25*m + 404. What is p(27)? -271 Let x(w) = 89*w - 171. Determine x(2). 7 Let r(d) = 2*d**2 + 85*d + 65. Determine r(-39). -208 Let t(k) = 26*k**2 + 66*k - 67. Calculate t(1). 25 Let x(j) = -j**3 + 13*j**2 - 29*j - 23. Determine x(10). -13 Let y(j) = j**3 + 14*j**2 - 11*j - 86. What is y(-14)? 68 Let v(t) = -t**2 + 33*t + 7040. What is v(-69)? 2 Let x(y) = 7*y**2 - 614*y - 1826. What is x(-3)? 79 Let g(f) = -20*f**2 + 380*f - 14. Determine g(19). -14 Let t(h) = -264*h + 17688. What is t(67)? 0 Let i(u) = u**2 - 48*u + 155. Calculate i(45). 20 Let u(c) = c**2 - c - 26. Give u(-4). -6 Let a(b) = -2*b - 54. Give a(-29). 4 Let w(i) = 994*i + 4972. Calculate w(-5). 2 Let o(k) = -k**3 + 37*k**2 + 160*k + 131. Determine o(41). -33 Let t(r) = -r**2 + 89*r + 997. What is t(-10)? 7 Let f(g) = 196*g**2 - 788*g + 6. Give f(4). -10 Let s(a) = 146*a - 924. Give s(6). -48 Let d(x) = 18*x**2 - 497*x + 2504. Determine d(21). 5 Let t(z) = 306*z - 43462. Calculate t(142). -10 Let y(c) = 149*c - 1504. Determine y(10). -14 Let n(j) = 5*j**2 - 4*j + 271. Calculate n(0). 271 Let a(l) = 3*l**2 - 254*l - 775. Determine a(-3). 14 Let q(a) = a**3 - 9*a**2 + 16*a - 627. What is q(12)? -3 Let u(z) = z**3 + 12*z**2 - 10*z - 35. Calculate u(-13). -74 Let j(a) = -5*a + 70. Calculate j(6). 40 Let u(y) = -3*y**2 - 23*y + 226. What is u(6)? -20 Let h(z) = -66*z - 797. Calculate h(-12). -5 Let h(c) = -47*c + 543. Calculate h(11). 26 Let t(k) = 357*k + 6807. Determine t(-19). 24 Let v(y) = -739*y - 5913. Calculate v(-8). -1 Let h(k) = -3*k**3 - 104*k**2 + 42*k + 104. Calculate h(-35). -141 Let p(y) = 16*y - 34. Determine p(-3). -82 Let g(a) = -27*a**2 - 95*a - 66. Determine g(-3). -24 Let f(h) = 3*h**3 - 20*h**2 - 49*h + 160. Calculate f(2). 6 Let t(i) = 25*i + 2171. What is t(-87)? -4 Let a(s) = s**2 - 235*s - 1158. Calculate a(-5). 42 Let n(c) = c**3 - 59*c**2 + 227*c - 375. Calculate n(55). 10 Let s(k) = -9*k**2 - 40*k - 7. Calculate s(-6). -91 Let m(i) = 5*i**3 - 72*i**2 + 31*i - 49. Calculate m(14). -7 Let i(k) = -k**2 + 140*k - 23. Determine i(140). -23 Let k(n) = 41*n**2 - 4*n - 4. Determine k(2). 152 Let x(z) = -237*z + 1431. Give x(6). 9 Let a(q) = q**2 + 88*q + 165. Determine a(-2). -7 Let s(y) = -58*y - 54. Calculate s(-1). 4 Let n(g) = -159*g**3 - 19*g**2 - 17*g + 2. Calculate n(-1). 159 Let x(m) = -392*m + 1810. What is x(5)? -150 Let h(j) = -16*j - 157. Calculate h(-17). 115 Let w(h) = -19*h - 441. Calculate w(-17). -118 Let r(p) = p**3 + 17*p**2 + 78*p + 488. Calculate r(-14). -16 Let q(a) = 2*a**3 - 20*a**2 + 20*a + 6. Give q(9). 24 Let f(d) = -57*d - 343. Calculate f(-6). -1 Let v(l) = 74*l**3 + 5*l**2 - 5*l + 1. Determine v(1). 75 Let x(o) = 12*o**2 + 484*o - 334. What is x(-41)? -6 Let p(z) = -z**3 - 24*z**2 - 30*z - 59. Give p(-23). 102 Let d(p) = -58*p**2 - 470*p - 43. Determine d(-8). 5 Let f(v) = 10*v - 461. What is f(35)? -111 Let f(w) = -105*w - 16398. Give f(-156). -18 Let f(x) = -12*x**2 - 213*x + 55. What is f(-18)? 1 Let z(u) = 2*u**3 + 57*u**2 - 88*u + 74. Calculate z(-30). 14 Let i(x) = -2*x**2 - 2*x - 1. Give i(-3). -13 Let u(z) = z**3 - 19*z**2 + 35*z - 2. Give u(17). 15 Let p(h) = h**3 - 24*h**2 + 16*h + 141. Determine p(23). -20 Let m(f) = f**2 - 25*f + 25. Give m(29). 141 Let y(z) = z**3 - 10*z**2 - 5*z - 114. What is y(11)? -48 Let u(b) = -16*b + 285. What is u(26)? -131 Let d(h) = -h**3 - 4*h**2 - h + 10. Calculate d(2). -16 Let n(c) = -265*c - 47. What is n(3)? -842 Let b(z) = -273*z + 2180. What is b(8)? -4 Let j(g) = -g**2 - 3*g + 59. Give j(-9). 5 Let d(c) = 17*c + 145. Calculate d(-15). -110 Let z(k) = -84*k**2 - 16*k + 37. Determine z(2). -331 Let n(l) = -102*l + 4078. Determine n(38). 202 Let l(d) = d**3 + 15*d**2 + 56*d + 13. Calculate l(-9). -5 Let z(g) = g**3 + 47*g**2 - 145*g - 237. Give z(4). -1 Let z(w) = -w**3 + 26*w**2 - 10*w - 337. What is z(25)? 38 Let j(k) = -k**3 + 8*k**2 - k + 51. Determine j(7). 93 Let r(a) = -14*a + 1352. Determine r(94). 36 Let g(s) = -s**3 - 61*s**2 + 330*s - 30. Calculate g(-66). -30 Let r(c) = -109*c + 21. Calculate r(0). 21 Let c(i) = -1628*i + 19528. Calculate c(12). -8 Let v(s) = s**2 + 2035*s - 6097. Determine v(3). 17 Let o(u) = -4*u**3 + 116*u**2 + 3*u - 103. Determine o(29). -16 Let o(f) = -19*f + 513. What is o(22)? 95 Let f(x) = 2*x**3 - 118*x**2 + 118*x - 49. Give f(58). 67 Let u(b) = -10*b**2 + 185*b + 926. Determine u(-5). -249 Let a(w) = 108*w + 1996. Give a(-10). 916 Let a(b) = -3*b**3 + 18*b**2 - 319*b + 1910. What is a(6)? -4 Let m(b) = -b**3 + 10*b**2 - 31*b + 19. Determine m(2)
{ "pile_set_name": "DM Mathematics" }
8. Let c = r - 11. What is the third smallest value in b, 4/7, c? b Suppose 0 = -35*j + 49*j - 56. Let z(q) = -8*q + 37. Let x be z(j). Let p = -239 - -2149/9. What is the fourth smallest value in -0.2, -3/8, x, p? x Let r = -235/3 - -2603/33. Let w = 29041 + -29046. Which is the third smallest value? (a) w (b) 5 (c) r b Let h = 1.9907 - 1.8907. What is the third biggest value in -2, -3, -5/3, h, -5? -2 Let q = 20.26 - 23.26. Which is the third smallest value? (a) -0.2 (b) -104 (c) q a Let s = 0.32 - 0.02. Let f = 10919 - 10918.4667. Let l = f - 0.0333. Which is the smallest value? (a) s (b) -2 (c) l b Let r = 45.557 - 45.587. What is the biggest value in r, 16, -2.4? 16 Let h be 10/8 - (-1)/(-2). Let w be (812/(-1827))/(1/(-9) - 1). What is the fourth biggest value in -5, w, 1/4, h? -5 Let m be (-77)/(-66)*75/350. Let a(y) = -2*y**2 - 1. Let f be a(-1). What is the biggest value in m, -5, f? m Let w = 10 - 58. Let y = -256 - -258. Let r be (-3)/(63/w) - (0 + y). Which is the second smallest value? (a) r (b) 3/7 (c) -4 a Let t = -345 + 200. Let j = t - -148. Which is the third smallest value? (a) 1.2 (b) j (c) -1/4 (d) 2/13 a Let c = -1632 + 1632. What is the second smallest value in -5, 4, -4, c? -4 Let f be (-8)/(-12) - 45/189. Let x = -22.8 + 23. What is the biggest value in -6, f, -0.06, x? f Let m = -4.638 + 4.938. Which is the biggest value? (a) m (b) 40 (c) -1/6 (d) -1/5 b Let f = -64.688 - -25.188. Which is the biggest value? (a) -1 (b) f (c) 3 c Let g = -166/3 - -55. Let s = 2 + -5. Let m = -16054 - -16049. What is the smallest value in -2, g, m, s? m Let l = -4899 + 4899.1. Let k be (-3)/((-12)/80)*-5. What is the second biggest value in k, -3, l, 4? l Let m = 3.2153 + 0.7847. Let c = 94 + -55. Let v be -2 - (-3 - (-40)/c). What is the third biggest value in v, m, 2/3? v Let l = -4 - 1. Let b = l - -8. Let z = 3457/2 - 1727. What is the fourth biggest value in -0.5, -4, z, b? -4 Let o = -250 - -292. Let n = 55 - o. What is the biggest value in -1/3, n, -1/7, -0.05? n Let g(m) = m**3 - 22*m**2 - 115*m + 290. Let s be g(26). Let x = -3.4 + -0.6. Which is the second smallest value? (a) s (b) x (c) -0.3 (d) 2 c Let r = 523/36 + -142/9. Let q = -2.29 - -1.89. Let n be 2/(-3) + (-104)/24. Which is the fourth biggest value? (a) r (b) q (c) -1 (d) n d Let v = 15254 - 15254.074. Which is the second biggest value? (a) 0.4 (b) 5 (c) v a Suppose 51 = x + 38. Suppose g - 67 + 65 = t, 4*g + x = -3*t. What is the second smallest value in 0.5, 2/5, 4/7, t? 2/5 Let m = 33 + -47. Let d(u) be the second derivative of u**4/12 + 7*u**3/3 - 5*u**2/2 + 7*u. Let k be d(m). What is the third biggest value in 0.3, -3, k, 1/8? -3 Let w be (-6)/32 - 6182/62944. What is the smallest value in 7, 4, -3, w? -3 Let m = 73.18 + -73. Let p = m + 12.82. What is the third biggest value in 3, -0.3, 5, p? 3 Let l = -650.3 - -650. Which is the third biggest value? (a) l (b) -9/2 (c) -28 c Let y = 2.985 - 3.985. Suppose 5*u + 92 = -2*r, -4*u - r - 49 = 27. Let m be (-4)/(-10)*u/(-64). Which is the fourth biggest value? (a) 3 (b) y (c) m (d) 5 b Suppose 0 = -14*b - 40*b - 324. Let s = 2/329 - 684/4277. What is the biggest value in s, b, -1/3? s Let v be -26 + (-2 + 0)/(-2). Let p = -10076 + 10078. What is the biggest value in -0.2, v, p? p Let a be (-32)/56*42/180 + (-4)/45. Let v = -0.024 - 6.276. What is the third biggest value in a, -1, 3, v? -1 Let u = 421 - 417. Let o = -3.9 + 8.9. What is the fourth biggest value in o, -3, u, 12? -3 Let p = 22/51 + 4/17. Which is the second smallest value? (a) 17 (b) p (c) 3/5 b Let z = 133.67 - 94.67. Which is the biggest value? (a) 2/41 (b) -0.3 (c) z (d) 2/11 c Let z = -555.3 - -555.8. What is the third smallest value in z, -305, 1/3? z Let j be (-10)/55 + 6 + 6320/(-1056). What is the smallest value in -0.1, -124/5, j? -124/5 Let m = 54 + 17. Let k = m + 7. Let i = k - 548/7. What is the second biggest value in -2/15, 1, -3, i? -2/15 Let o = -89/138 - 1/46. Let p = 168 + -389. Let t = p - -3314/15. Which is the second biggest value? (a) t (b) o (c) -1/9 c Let w(s) be the third derivative of s**5/20 - 7*s**4/24 + s**3/6 + 82*s**2. Let u be w(2). Which is the second biggest value? (a) u (b) 1/2 (c) 9.2 b Let z = 2871.9 - 2872. Let n = -19 + 20. Which is the second smallest value? (a) 1/2 (b) n (c) 0.08 (d) z c Let k = -0.02626 + -0.97374. Which is the biggest value? (a) -74 (b) k (c) 3 (d) -14 c Let o = 2000 + -2013. Which is the biggest value? (a) 2 (b) -3 (c) 2/13 (d) o a Let n = 3.2 - -3.6. Let q = -25.2 - n. Let p = q + 32.3. Which is the biggest value? (a) -0.1 (b) p (c) 0 b Let l be (-568)/96 - ((-4 - 4) + 2). Let r be (-1)/(-4) - 7/(-20). What is the fourth smallest value in r, -1, l, 0.1? r Let r = -90 + 179. Suppose 15 = -25*z - 10. What is the second biggest value in -5, r, z? z Suppose -2*b + c = -8, 14 = 2*b - 3*c + 2. Let f = -1520/3 - -502. Let m = 67/15 + f. What is the second smallest value in b, 13/2, m? b Suppose -6*h + 11*h = -3*r - 485, h = 3*r + 461. Let p = r - -2943/19. Which is the third biggest value? (a) p (b) -0.5 (c) 13 b Let g = -3930 + 3924. Which is the third smallest value? (a) 1/5 (b) 5/11 (c) g b Let h = -0.0414 - -0.1314. Which is the fourth smallest value? (a) h (b) -0.1 (c) -1.3 (d) -2/11 a Let j = -137 - 6. Let d = j + 148. What is the third biggest value in d, 0.1, -4? -4 Let y = 847/5 + -23731/140. Let d = y + 83/252. What is the third smallest value in 1, -5/7, -1/2, d? d Let f = 235.4883 - -0.0117. Let k = f + -235. Which is the third smallest value? (a) k (b) -11 (c) -3 a Let i = 8.0891 - -0.2109. What is the second biggest value in -17/3, 1, i, -0.3, -1? 1 Let w = 42819/4 + -10704. Which is the fourth smallest value? (a) w (b) 0 (c) 4 (d) 7 (e) -2 c Let n be 1 + -1 + (4 - (-9488)/(-40)). Let t be ((-1)/(-2))/((-3)/1404). Let o = n - t. Which is the second smallest value? (a) o (b) 1 (c) 0.2 a Let n = 2.04 - 2. Let w = n + -3.04. Let a = 0.03221 + 2.96779. What is the biggest value in 4, a, w, 0.2? 4 Let o = 26342/7 + -17464781/4641. Which is the second smallest value? (a) o (b) -1/6 (c) 2/5 a Let h(z) = z**3 - 25*z**2 + 118*z + 131. Let g be h(18). What is the biggest value in 3, g, 9, -5, -1? 9 Let n = 102.8 + -102.3. Let w = 6 - 1. Let s = 0.6 + -0.57. What is the third smallest value in n, -2/11, s, w? n Let h = 7.909 + -7.509. Let t = 18.84 - 19. Which is the biggest value? (a) t (b) -2 (c) -0.1 (d) h d Let k = -566 - -568. Suppose -o - 5*z = k*o + 34, 4*o + 32 = -4*z. Let q = 3.92 + 0.08. Which is the second smallest value? (a) -2.3 (b) 2/5 (c) o (d) q a Let u = 49881/1904 - 2921/112. Let z = 12 + -17. What is the third smallest value in -4/13, u, z? u Let k be -1 - ((-24)/6 - -8). Suppose -5*r = 71 + 24. Which is the third smallest value? (a) -1/6 (b) k (c) r (d) -1/2 d Let h = -1.904 + 16.894. Let p = -1.21 - h. Let i = -16 - p. Which is the second smallest value? (a) 0.3 (b) i (c) 0.6 a Let i = 57 + -459/8. Suppose 0 = -5*o, 0 = 5*t + 5*o - 1 + 6. Let a be t/4 - (591/156 - 4). What is the second smallest value in a, 5, 0.2, i? a Let h be (-2)/((-1)/12*-76 - 7). Let i = -6 + 7. Which is the third smallest value? (a) i (b) h (c) -3 (d) 49 b Let i = 2/15 - -1/15. Let x = -6424.07 - -6424. What is the smallest value in 11, x, i? x Let g = -60.52 - 0.96. Let o = -61.7 - g. Which is the biggest value? (a) o (b) -0.5 (c) 4 c Let p be (-164)/(-164) - (0 + 1 + 1). Which is the third smallest value? (a) p (b) -0.7 (c) -24 b Let b = -1912 - -1912. What is the third biggest value in -3/4, b, -179, -1/3, -5? -3/4 Let s(w) = -3*w**3 - 14*w**2 - 29*w + 8. Let f be s(-6). Let p = 327 - f. Which is the biggest value? (a) -1 (b) p (c) -2/17 (d) -14 b Let j(z) = z**3 - 12*z**2 + 12*z - 6. Let i be j(11). Let l = 17497 - 17475. What is the third smallest value in -2, l, i? l Suppose -3*l + g + 2 = 0, 2 = 2*l + g - 6. Let h = 11/6 - l. Let b = h + -1/12. What is the biggest value in b, -5, 1/5, 3? 3 Let p be 1/(-8)*2/(-1). Let m = 0.223 - 3.193. Let q = 8.97 + m. What is the third smallest value in p, q, -0.4? q Let g be (-2)/(-1) + 36/(-54)*54/(-4). Which is the biggest value?
{ "pile_set_name": "DM Mathematics" }
2*(9*d - 2)/5 Factor -3*o**3/4 + 3575631*o**2/4 + 7151271*o/4 + 3575637/4. -3*(o - 1191879)*(o + 1)**2/4 Factor -5*g**2 + 22966145*g - 183728840. -5*(g - 4593221)*(g - 8) Factor 5*y**4 - 1451350*y**3 + 14513125*y**2 - 36282500*y. 5*y*(y - 290260)*(y - 5)**2 Find d such that 47955625*d**4 + 9399634900*d**3 + 460630973476*d**2 + 3192482496*d + 5531904 = 0. -98, -24/6925 Factor -2*q**2/17 + 520912*q/17 + 30642. -2*(q - 260457)*(q + 1)/17 Factor 4*n**3 + 280*n**2 + 5744*n + 33440. 4*(n + 10)*(n + 22)*(n + 38) Suppose -o**3/4 - 8101*o**2/2 + 1351655*o/4 = 0. What is o? -16285, 0, 83 Factor -l**2 - 901433*l - 901432. -(l + 1)*(l + 901432) Factor -3*q**3 - 357767412*q**2 - 10666460090764812*q. -3*q*(q + 59627902)**2 Factor -26*p**3 - 676953*p**2 + 234333*p. -p*(p + 26037)*(26*p - 9) Find m such that 4*m**3/3 + 650*m**2/3 + 6224*m + 11592 = 0. -126, -69/2, -2 Determine d, given that d**4/6 + 91*d**3/2 + 7172*d**2/3 + 18802*d + 119480/3 = 0. -206, -58, -5, -4 What is a in -3*a**2 + 10739151*a + 118131024 = 0? -11, 3579728 Suppose -10*g**3 - 42768*g**2 - 7680638*g - 6117144 = 0. Calculate g. -4089, -187, -4/5 Factor -471*t**2/5 + 459711*t/5 - 2928. -3*(t - 976)*(157*t - 5)/5 Factor -2*y**2/11 + 26458*y/11. -2*y*(y - 13229)/11 Find l such that l**4/8 + 39*l**3/4 + 243*l**2/2 + 857*l/4 + 819/8 = 0. -63, -13, -1 Let f**2/7 - 935408*f/7 - 267260 = 0. Calculate f. -2, 935410 Solve 169*j**3/3 - 7060690*j**2 - 2172524*j - 501352/3 = 0 for j. -2/13, 125338 Factor -180504099*p**4/5 + 57913812*p**3/5 - 5744592*p**2/5 + 24304*p + 5488/5. -(97*p + 2)*(123*p - 14)**3/5 Solve 5*y**3/4 + 31265*y**2/2 - 312755*y/4 + 62555 = 0. -12511, 1, 4 What is b in -2*b**5/17 - 600*b**4/17 + 33750*b**3/17 + 117180*b**2/17 - 37584*b = 0? -348, -6, 0, 3, 51 Find b such that -8*b**2/9 - 563554*b/3 + 184800308/9 = 0. -211442, 437/4 Let q**4 - 3996613*q**3 - 11989845*q**2 - 11989847*q - 3996616 = 0. Calculate q. -1, 3996616 Factor 3*x**3 + 5103*x**2 - 4524771*x + 13528305. 3*(x - 641)*(x - 3)*(x + 2345) Factor -t**2/3 + 41297816*t/3 - 426377401592464/3. -(t - 20648908)**2/3 Factor -2*v**2/3 - 1994*v - 4169620/3. -2*(v + 1106)*(v + 1885)/3 Solve 3*a**2/7 - 942893790*a/7 + 74087391601713675/7 = 0 for a. 157148965 Suppose 3*j**2/5 - 33009*j/5 - 1026162/5 = 0. What is j? -31, 11034 Factor -2*s**4 - 35368*s**3 - 162367578*s**2 - 52581822300*s. -2*s*(s + 350)*(s + 8667)**2 Factor -2*w**2/9 + 7994536*w/9 - 7989075731912/9. -2*(w - 1998634)**2/9 Find v, given that 6*v**5 + 468897*v**4 + 9146821128*v**3 - 554692645746*v**2 + 7964755376490*v + 13226059665225 = 0. -39105, -3/2, 31 Factor 4*i**2/5 + 175178512*i/5. 4*i*(i + 43794628)/5 What is w in 5*w**2 - 11334655*w - 11334660 = 0? -1, 2266932 Suppose 2*r**3/3 - 35709542*r**2/3 + 159396405876448*r/3 + 159396441585992/3 = 0. Calculate r. -1, 8927386 Determine x so that -3*x**4/4 + 561*x**3 - 27408*x**2 + 183744*x = 0. 0, 8, 44, 696 Solve -x**3/3 + 668660*x**2/3 - 111781897988*x/3 + 1788339194944/3 = 0 for x. 16, 334322 Suppose -2*p**5/17 - 1334*p**4/17 - 201588*p**3/17 - 5621616*p**2/17 = 0. What is p? -462, -169, -36, 0 What is q in 4*q**3/5 + 96036*q**2/5 - 11740320*q + 1771848000 = 0? -24609, 300 Factor -5*m**2/3 + 19485*m + 11135670. -5*(m - 12237)*(m + 546)/3 Determine j, given that 2*j**3/5 + 673178*j**2/5 + 2961838*j + 81449214/5 = 0. -336567, -11 Factor 3*m**2 + 74880*m - 1573803. 3*(m - 21)*(m + 24981) Factor -20120*w**2 - 25006*w - 1200. -2*(20*w + 1)*(503*w + 600) Find u, given that -100*u**3 + 2475900*u**2 + 16*u - 396144 = 0. -2/5, 2/5, 24759 Let 3*n**4/4 - 481401*n**3/2 + 23105589*n**2/4 - 11071395*n/2 = 0. What is n? 0, 1, 23, 320910 Factor -3*a**2 - 26427*a - 763860. -3*(a + 29)*(a + 8780) Factor g**3 + 14998*g**2 + 1932576*g - 3925152. (g - 2)*(g + 132)*(g + 14868) Factor i**3/5 + 910*i**2 - 920728*i/5 - 1859648/5. (i - 196)*(i + 2)*(i + 4744)/5 Factor -x**2/3 + 289*x + 108006. -(x - 1149)*(x + 282)/3 Factor 3*x**3 - 327309930*x**2 + 8927649189717075*x. 3*x*(x - 54551655)**2 Suppose c**5/3 - 2608*c**4/3 + 66336*c**3 - 4225738*c**2/3 + 14420047*c/3 - 3463570 = 0. Calculate c. 1, 3, 37, 2530 Determine r, given that 2*r**4 + 58*r**3 - 1938*r**2 - 4842*r + 30240 = 0. -48, -5, 3, 21 Find r, given that -2*r**4 - 1090*r**3 + 224286*r**2 + 15579394*r + 15354020 = 0. -691, -55, -1, 202 Determine g so that 3*g**4 + 1791*g**3 - 72882*g**2 - 312924*g - 320040 = 0. -635, -2, 42 Factor -b**2/6 + 23201*b/6 - 1583488. -(b - 22784)*(b - 417)/6 Determine d, given that 3*d**3/2 + 8250111*d**2/2 + 5672023500969*d/2 - 5672031751083/2 = 0. -1375019, 1 Factor -3*a**3 - 561225*a**2 - 10101078*a. -3*a*(a + 18)*(a + 187057) Solve y**4/3 - 20*y**3/3 - 13489*y**2 + 202670*y/3 - 162184/3 = 0 for y. -194, 1, 4, 209 Find k, given that 6*k**3 - 6148*k**2 - 192398*k + 409340 = 0. -97/3, 2, 1055 Find v, given that -2*v**2/9 + 60782*v/9 - 486128/9 = 0. 8, 30383 Find y, given that 4*y**3 - 16724*y**2 - 33524*y + 250980 = 0. -5, 3, 4183 Determine q so that 36*q**5/7 - 3062*q**4/7 + 85510*q**3/7 - 749324*q**2/7 - 1021560*q/7 + 241200 = 0. -2, 1, 469/18, 30 Suppose 18*n**4/5 + 3736*n**3/5 + 92762*n**2/5 + 135324*n/5 = 0. What is n? -179, -27, -14/9, 0 Let -q**3/2 - 1115*q**2 + 178144*q - 6879216 = 0. Calculate q. -2382, 76 Find c such that -5*c**2 + 1190075*c + 2380170 = 0. -2, 238017 Factor -2*i**2/7 + 273942*i/7 + 273944/7. -2*(i - 136972)*(i + 1)/7 Let 2*z**3/11 + 2553898*z**2/11 + 12769440*z/11 = 0. Calculate z. -1276944, -5, 0 What is f in -f**3 - 6317*f**2 - 889196*f - 1753132 = 0? -6173, -142, -2 Factor 3*a**2 + 46566*a + 33194931. 3*(a + 749)*(a + 14773) Solve -u**5/2 - 54*u**4 - 1175*u**3 + 5622*u**2 + 138215*u/2 - 73500 = 0 for u. -75, -35, -7, 1, 8 Let c**2 - 4459715*c + 22298550 = 0. What is c? 5, 4459710 Suppose -3*b**3/2 - 39927*b**2/2 + 13104933*b - 26130000 = 0. What is b? -13936, 2, 625 Solve -2*v**2 - 5767124*v - 69205200 = 0 for v. -2883550, -12 Determine r so that -5*r**3/2 - 10215*r**2/2 + 24839105*r/2 + 24849315/2 = 0. -3473, -1, 1431 Determine v so that 4*v**5 + 3004*v**4 + 446956*v**3 + 27487684*v**2 + 771630496*v + 8209546768 = 0. -577, -46, -41 Find i, given that -4*i**2 + 79187312*i - 391914398861584 = 0. 9898414 Factor -2*z**2/7 + 2676328*z - 6267390118136. -2*(z - 4683574)**2/7 Factor -t**2/2 + 42125*t/2 - 904763. -(t - 42082)*(t - 43)/2 Suppose -t**5/4 - 55*t**4 + 1047*t**3/4 + 160907*t**2/2 - 80660*t = 0. What is t? -218, -40, 0, 1, 37 What is x in -2*x**5/9 + 1174*x**4/9 + 5730*x**3 + 788306*x**2/9 + 5019392*x/9 + 1232840 = 0? -14, -9, -5, 629 Factor 3*f**2 - 262931214*f + 5761068607959483. 3*(f - 43821869)**2 Suppose -3*f**4/5 - 755961*f**3/5 - 302373*f**2 + 2267865*f = 0. Calculate f. -251985, -5, 0, 3 Let -5*g**2 - 138565*g - 36232680 = 0. Calculate g. -27449, -264 What is j in 5*j**4 - 3102030*j**3 = 0? 0, 620406 Suppose 66*h**2 - 1443*h/4 + 126 = 0. What is h? 3/8, 56/11 Solve -6*q**4 + 110337*q**3/5 - 101556873*q**2/5 + 192637104*q/5 - 70943124/5 = 0. 1/2, 7/5, 1838 Determine c so that -5*c**3 + 5905*c**2 - 1384595*c + 1378695 = 0. 1, 321, 859 Let -2*v**3/9 - 25636*v**2/9 - 85789400*v/9 - 7685678224/3 = 0. What is v? -6262, -294 Determine x, given that 2*x**4/9 - 7306564*x**3/3 + 60059134091546*x**2/9 - 40039400808008*x/3 + 60059090252168/9 = 0. 1, 5479922 Factor -v**3 - 11902*v**2 - 35366745*v + 283696200. -(v - 8)*(v + 5955)**2 Let r**2/5 + 16398832*r/5 + 67230422741056/5 = 0. Calculate r. -8199416 What is b in 29829*b**5/8 + 14915*b**4/2 - 89483*b**3/8 - 3*b**2/4 = 0? -3, -2/29829, 0, 1 What is l in -2*l**5/23 + 12376*l**4/23 - 357780*l**3/23 + 3438720*l**2/23 - 12308058*l/23 + 14633784/23 = 0? 3, 11, 12, 6159 Find m such that 5*m**5 - 3405*m**4 + 846280*m**3 - 91499320*m**2 + 3983091600*m - 58965826640 = 0. 38, 194, 217 Determine i, given that -i**3/11 + 4987*i**2/11 + 115254*i/11 - 120240/11 = 0. -24, 1, 5010 Find i, given that i**4/2 - 351806881*i**3/2 + 20628013645125840*i**2 - 806341916095247754790400*i + 806341895467234285568000 = 0. 1, 117268960 Solve 1041*g**4/5 + 105159*g**3/5 + 2708418*g**2/5 + 529860*g + 9000 = 0. -50, -1, -6/347 Find p, given that -p**3/10 + 78*p**2/5 - 2021*p/10 + 2343/5 = 0. 3, 11, 142 Factor -h**2 - 458215*h - 95723254. -(h + 209)*(h + 458006) Factor 2*m**2 + 34227714*m. 2*m*(m + 17113857) Sup
{ "pile_set_name": "DM Mathematics" }
- 3 = -n. Is 8 a factor of m? True Let t(k) be the first derivative of k**4/4 - 4*k**3/3 - 5*k**2/2 - 4*k + 2. Is 13 a factor of t(6)? False Suppose 0 = -2*r + l + 1, 0*r - 2*r - 4*l - 4 = 0. Let m(u) = u**3 + 13. Is 11 a factor of m(r)? False Let s(c) = c**3 - 11*c**2 - 10*c + 11. Is s(12) a multiple of 7? True Suppose -5*p + 6*p - 2 = 0. Suppose 5*j + 2*t + t = 27, p*j - 4*t - 16 = 0. Is j a multiple of 4? False Suppose -o + 35 = -35. Let l be 1/(1 + -2) + o. Suppose -5*x = -u - l, -3*x + 6*x - 51 = 3*u. Is x a multiple of 9? False Let n(h) = 2*h**2 + 3*h + 1. Does 38 divide n(9)? True Suppose 2*x = 2 + 2. Let t be (-2 - -3) + x/1. Let k = 9 - t. Does 6 divide k? True Let m = -5 + 55. Does 22 divide m? False Let d = 3 + -1. Let r(s) = -s**3 + 4*s**2 - 2*s + 2. Let x(m) = -2*m**3 + 9*m**2 - 4*m + 5. Let c(w) = d*x(w) - 5*r(w). Is 4 a factor of c(2)? True Let q(v) = 2*v**3 - v**2 + v - 1. Let k(s) = -13*s**3 + 2*s**2 + s + 14. Let l(p) = k(p) + 6*q(p). Let i be (-1)/(-4) + (-50)/8. Is l(i) a multiple of 19? True Suppose a = 4*a. Suppose -3*o + 78 = -a*o. Is o a multiple of 20? False Is ((-35)/2)/((-8)/16) a multiple of 9? False Suppose -f = 1 + 3, v - 3*f - 15 = 0. Does 21 divide (-1)/(v/(144/(-1)))? False Suppose -3*u - x = 3*x + 3, -u = -2*x - 9. Suppose -29*q = -28*q - 5. Suppose u*i - q*i + 5*z + 108 = 0, -z = -5*i + 270. Does 27 divide i? True Let u(f) = f**2 - 6*f + 20. Is u(16) a multiple of 45? True Let w = 171 + -39. Does 22 divide w? True Let v = -12 + 258. Is 41 a factor of v? True Let v = 0 - -66. Is v a multiple of 11? True Let t = -48 - -74. Is 6 a factor of t? False Does 13 divide 78/(-8)*40/(-15)? True Let z = 89 + -40. Does 9 divide z? False Let l = -63 + 124. Is 9 a factor of l? False Let t(z) = -z**3 - 5*z**2 + 7*z + 9. Let l be t(-6). Suppose -l*m + 0*m + 18 = 0. Suppose 0 = 2*k + m - 18. Is 3 a factor of k? True Suppose 6*y - 2*y - 8 = 0. Let n(f) = 11*f**2 + f + 2. Is 16 a factor of n(y)? True Suppose -110 = -4*b + 2*b. Let p(k) = 11*k - 7. Let m be p(6). Suppose -8 = 4*t + 3*z - b, -m = -5*t - 4*z. Is 11 a factor of t? True Suppose -b + 10 = 4*b. Let k be (b/(-4))/(1/(-470)). Suppose -5*v + k = 65. Is 17 a factor of v? True Let r = 52 + 100. Is 22 a factor of r? False Let v(s) = -s**3 - 6*s**2 - 4*s - 8. Let d be v(-5). Let r = d - -18. Is 2 a factor of r? False Let n(m) = -m**3 + 2*m**2 - 2*m - 4. Let p(a) = -2*a + 3. Let y be p(2). Let r be 14/(-4) + y/(-2). Is n(r) a multiple of 25? False Suppose -2*w + 32 = -6. Is w a multiple of 4? False Suppose 6*r = 3*r - 12. Does 6 divide r + 2 + 6 - -19? False Is ((-4)/(-6))/((-8)/(-108)) a multiple of 6? False Let d = 18 + -6. Is 6 a factor of d? True Let h = 104 + -71. Is 33 a factor of h? True Let r = 122 - 46. Is r a multiple of 5? False Let r(m) = -m**3 - 9*m**2 + 4*m - 11. Let h be r(-9). Let g = h + 102. Is g a multiple of 11? True Suppose -7*q - 4 = -3*q + 5*k, 2*k + 12 = q. Suppose -2*b + q = -70. Is 10 a factor of b? False Suppose -3*a - 3*r + 117 = -4*r, 5*a + 2*r - 206 = 0. Is a a multiple of 9? False Let c(l) = -36*l. Let g be c(-5). Suppose 4*a - 32 = -g. Is 12 a factor of (3 - 2)/(-1) - a? True Let n(p) be the first derivative of -p**4/4 + 4*p**3/3 + p**2 + 4*p + 7. Is 6 a factor of n(4)? True Let u = 365 + -195. Is 9 a factor of u? False Suppose 5*t = 2*n + 163, 2*t - 397 = 6*n - n. Let q = n + 127. Is q a multiple of 17? False Let z = 14 - -31. Does 18 divide z? False Let u = -73 - -51. Let y = 43 + u. Does 7 divide y? True Suppose 0*n - 4*n = -40. Let a(m) = m**2 - 8*m - 11. Does 4 divide a(n)? False Is 3 a factor of (-1)/(-4) + (-11)/(-4)? True Let g(d) = 12*d**2 - 2*d - 1. Does 3 divide g(-1)? False Let z(c) be the first derivative of c**3/3 - 5*c**2 - 6*c - 7. Does 4 divide z(11)? False Is -6*(-10)/4 - 3 a multiple of 6? True Suppose -5*z - 222 = -812. Is z a multiple of 7? False Suppose 0 = 5*o + 4 + 6, 3*o - 246 = -2*j. Is 23 a factor of j? False Is 3/(1/(30/9)) a multiple of 10? True Suppose 2*t - 181 - 54 = -f, -3 = -3*f. Does 13 divide t? True Let r = -170 - -263. Is 31 a factor of r? True Let v(l) = l + 14. Let i be v(-11). Let m be 4/(-10) + (-24)/(-10). Suppose 0 = i*w + 15, -3*q + m*w + 84 + 7 = 0. Is q a multiple of 9? True Let q(m) = 2*m - 1 + 4 - 4. Is 7 a factor of q(7)? False Suppose 2 = -c + 7. Suppose 0 = d + r - 13, -c*r = -d - 3*d + 16. Is 3 a factor of d? True Let i(b) = -b**2 + 2*b + 4. Let p be i(3). Does 3 divide -2 - 8*(p + -2)? True Suppose 2*b + 5*m - 1138 = -b, 0 = 5*b + 4*m - 1901. Is b a multiple of 61? False Suppose -60 - 248 = -11*w. Is 11 a factor of w? False Suppose 5*n + 927 = 2*n. Is n/(-9) - 2/6 a multiple of 17? True Let s(n) = 9*n**2 + n + 6. Is 21 a factor of s(-3)? True Suppose 2*g - 7*g = -4*p + 167, 3*p - 124 = 4*g. Is p a multiple of 8? True Suppose g = -y - y + 2, 3*g + 14 = 4*y. Suppose -12 = -a + 4*u + 2, y*u - 42 = -3*a. Does 14 divide a? True Suppose -6*v = -v - 480. Is v a multiple of 12? True Is ((-26)/3 + -1)*(-240)/20 a multiple of 10? False Let b = -12 + 6. Let w = b + 12. Does 6 divide w? True Is 6/1 - 9/(18/4) a multiple of 2? True Let s = 13 + -6. Is s a multiple of 7? True Let i = -5 - -9. Suppose 130 = 4*a - 2*q, a - 2*q = -i*q + 45. Is 13 a factor of a? False Is (-1)/1 + 2 + 70 a multiple of 11? False Let m(l) = l + 24. Let j be m(0). Suppose 4*b - 4 = -3*g, 6*b - 5*g = 5*b + j. Does 14 divide (0 - -4)/(b/14)? True Suppose 4*v - 121 - 79 = 0. Does 25 divide v? True Suppose 5*v + 4*t - 654 = -187, v - 3*t - 101 = 0. Let o be v/20 - (-1)/4. Suppose -145 = -o*c + 5*x, -3*x = 4*c - 0*x - 109. Does 14 divide c? True Let y(t) = -2*t**3 - t**2 - 3*t + 41. Let o(r) = -r**3 - r**2 - r - 1. Let q(h) = -3*o(h) + y(h). Is q(0) a multiple of 13? False Suppose -9*j - 750 = -12*j. Is 25 a factor of j? True Let q = -28 - -49. Is q a multiple of 3? True Let o be (-1)/((-2)/(4*-7)). Is 92/9 - o/(-63) a multiple of 7? False Suppose 4*q - 161 = 3*o + 265, 0 = 3*q + o - 313. Does 15 divide q? True Let n = -64 + 103. Let a = n + 76. Does 30 divide a? False Let d = 29 - -11. Is (1 - (-2 + 2)) + d a multiple of 15? False Let a(o) = 0 + 0 - 10 + o**3 - 8*o**2 + 10*o. Is 10 a factor of a(7)? False Suppose -3*p + 89 = -37. Is 10 a factor of p? False Let a = -1 - -4. Suppose 5*g - 59 = 2*s, a*s + s + 27 = 3*g. Does 9 divide g? False Let k(f) = 21*f - 7. Suppose -8 = -2*m + 3*o, -2*m = -0*m + o - 16. Let g be k(m). Suppose -g = z - 6*z. Does 11 divide z? False Is (-1 + 1 + -1)/((-1)/65) a multiple of 13? True Let l(r) = -8*r**3 + 2*r. Is 21 a factor of l(-3)? True Let g(r) = r + 2. Let a be g(-2). Suppose 2*y + 0*y - 62 = a. Is y a multiple of 18? False Let k = 56 + 8. Does 16 divide k? True Let f(q) = -5 - 6*q + 0*q + 0*q. Is 13 a factor of f(-4)? False Let n = -4 + -2. Let s(t) be the first derivative of -t**3/3 - 5*t**2 - 7*t + 19. Does 7 divide s(n)? False Suppose 3*i - 120 - 240 = 0. Does 10 divide i? True Let k = 83 - 59. Suppose -24 = -3*c + k. Is c a multiple of 8? True Let g = 8 - 6. Suppose 0 = g*y + 3*k - 6, 5*k = -2*y + 6*y - 34. Is y even? True Let k be (-2 - (-3 - -1)) + -3. Let q = k - -18. Is q a multiple of 15? True Let b(c) = -c**2 + 9*c + 9. Let l = -11 + 16. Suppose 0 = -l*a + 40 - 5. Is 8 a factor of b(a)? False Let h(p) = 2*p**3 + p**2. Let u be h(1). Suppose u*k = 8 + 1. Suppose 3*a = -5*v + 9, -4*a + 1 = -k*v + 18. Is 3 a factor of v? True Let w(i) = 30*i**3 + 9*i**2 - 11*i - 13. Let d(m) = 15*m**3 + 4*m**2 - 5*m - 6. Let h(q) = 13*d(q) - 6*w(q). Does 7 divide h(1)? True Suppose x - 25 + 4 = 0. Suppose y - x = 12. Is y a multiple of 11? True Let m(l) = l**3 + 10*l**2 - l. Let y be m(-10). Let p = -5 + y. Suppose 194 = p*a + 2*h, -h = 3*a - 2*h - 123. Is 14 a factor of a? False Suppose 5*m - 280 = -5*p, -4*p = -0*p + 2*m - 224. Does 14 divide p? True Let l be 2 + (-3)/(-3)*19. Suppose f = 3*j + 4 + 3, 2*f = -j + l. Is 5 a factor of f? True Suppose -2*u + 4*f = 16, 5*f + 79 = -4*u + u. Let y = u + 20. Is y even? True Let y(t) = 314*t**2 + 2*t - 1. Is y(1) a multiple of 45? True Let i = -5 - -8. Suppose 2*d + i*m = -48, d + 7 + 15 = -m. Does 4 divide (4 - 2)*d/(-4)? False Suppose 4*x - 76 = 9*x + 4*i, 2*x + 32 = -2*i. Let l = x + 24. Is 10 a factor of l? False Let a(f) = f**2 - 5*f - 15. Is a(-6) a mult
{ "pile_set_name": "DM Mathematics" }
2*d, -4*d - 9 = 2*v - 1. Let a = 18 - v. Is 5 a factor of a? False Let b = -63 + 89. Suppose 0 = -t + 9 + b. Is t a multiple of 7? True Let h = -176 + 616. Is 40 a factor of h? True Let q be (10 - 1) + 2 - -1. Suppose -9*i = -q*i. Is 9 a factor of i/(-2) + (32 - 5)? True Suppose -5*m + 3*j = 166, 0 = -4*m - 2*j + 3*j - 130. Let w = m + 22. Is 23/2*(-8 - w) a multiple of 4? False Is 12 a factor of 78810/90 - (-4)/12? True Let b = -740 + 1075. Does 18 divide b? False Suppose 2*k = -5*l - 0*l + 25, 5*l - 40 = -5*k. Suppose 0 = -z + 5*r - 7, 5*z = k*r - 1 + 6. Suppose 5*m + 2*n - 45 = n, z*n = m + 7. Is 8 a factor of m? True Let c = 11 + -2. Suppose 2*r - c = -3. Is 7 a factor of 7/(0 + r/9)? True Suppose -180 = 7*p + 128. Let w = 139 - 66. Let f = p + w. Is f a multiple of 7? False Let p(a) = -a**2 + 16*a + 2. Let s be p(16). Suppose -s*w + 63 - 3 = 0. Is 15 a factor of w? True Let y be 3*(2 - (-44)/(-6)). Let i = y - -28. Suppose -i = -4*w - 0. Is 2 a factor of w? False Suppose 0 = -3*v + 5*c + 406, 3 = -c - 2. Suppose v = -16*s + 735. Is s a multiple of 2? True Let p = -5 + 14. Let g = p + 14. Let y = 69 - g. Is 22 a factor of y? False Let w(v) = 157*v**3 - 2*v**2 - v + 2. Is 13 a factor of w(1)? True Let f(t) = 21*t + 4. Let q(w) = 41*w + 7. Let m(d) = -11*f(d) + 6*q(d). Let r(j) = j**2 - 9*j + 10. Let p be r(8). Is 14 a factor of m(p)? True Let j be (1 - -1)/2 + -1. Suppose -153 = -o - 2*f, -5*f + 6 + 9 = j. Does 26 divide o? False Let j(i) = -i**2 - 14*i + 20. Let d be j(-14). Suppose -d = b + 4*b. Let m = 41 + b. Does 7 divide m? False Let q = -33 - -56. Let o(b) = -2*b**2 + 47*b + 10. Is 11 a factor of o(q)? True Let w = -158 + 603. Is 39 a factor of w? False Let g = 1444 + -602. Is 27 a factor of g? False Suppose -8 = 2*t - 2*g, 4*g + 0 + 2 = -2*t. Is t/(-5) - 210/(-25) a multiple of 2? False Suppose -3*s - 3 = 6. Is 13 a factor of 832/12 + (-2)/s? False Let c(m) = -60*m - 28*m - 20*m - 2 - 18*m. Let y be c(-3). Is 10 a factor of y/10 - 4/(-10)? False Suppose 8*x - 175 = 3*x. Let z be (-7)/(x/10) - 11. Let d = 22 + z. Does 6 divide d? False Suppose 3 + 9 = 3*z, 5*o = -2*z + 428. Suppose -28*j - o = -25*j. Does 24 divide j/(-3)*(-54)/(-21)? True Let x be (6/(-4))/((-3)/10). Suppose -8*s + 1050 = -3*s + x*u, -4*s = -4*u - 832. Is s a multiple of 36? False Suppose 9*w - 4*w - 440 = -3*a, 0 = a + 5*w - 140. Does 25 divide a? True Let f(t) = 172*t - 12. Is f(1) a multiple of 5? True Let j(m) = 147*m + 38. Does 52 divide j(3)? False Let f be 10/45 + (1 - (-274)/(-18)). Let w(v) = -6*v - 2. Is 7 a factor of w(f)? False Let u = -416 + 776. Is u a multiple of 8? True Suppose 28*f + 590 = 33*f - 4*v, -v + 354 = 3*f. Is 9 a factor of f? False Let x(h) = -h + 17. Let r be x(9). Let c be -334*(28/r)/7. Let w = c + 246. Is 25 a factor of w? False Suppose 455*l - 463*l = -6048. Does 54 divide l? True Let p(l) = 5*l**3 - 2*l**2 - 2. Suppose 0 = 4*y - 3*c - 11, 3*y - 9 = -y + c. Suppose -s = y*s - 6. Is 22 a factor of p(s)? False Suppose 5*c + 236 = d, -2*d + 4*d + 5*c = 517. Let w = d + -81. Is 10 a factor of w? True Suppose -2*h = -2*t + 50, -2*h - 2*t = 2*h + 94. Is 16 a factor of (-4)/h + (-383)/(-6)? True Let j(o) be the first derivative of -o**4/4 + 9*o**2/2 - 8*o - 9. Let y be j(5). Is 2/(-1) + y/(-2) a multiple of 14? True Let c(z) = -3*z**2 + 11*z - 10. Let h(k) = -7*k**2 + 23*k - 21. Let j(o) = 9*c(o) - 4*h(o). Does 2 divide j(-8)? True Let m(a) = 6*a**3 + 8*a**2 - 5*a - 25. Is 25 a factor of m(5)? True Let s(z) = z**3. Let p be s(-1). Let c = 1 + p. Suppose 3*n = 5*v + n - 210, 5*v - 4*n - 220 = c. Does 16 divide v? False Suppose 6*l = 4*l + 10. Suppose l*h - h = 20. Suppose 0 = -h*k + 9*k - 116. Is k a multiple of 16? False Let a = 38 - 38. Let m(p) = -p**3 + 8*p**2 + 4*p - 6. Let k be m(8). Is (-1 - -2 - a) + k a multiple of 12? False Let d(c) = 3*c - 14. Let p be d(-2). Let f(y) = -2*y - 25. Does 4 divide f(p)? False Let r(k) = -3*k**2 + 26*k - 6. Is r(6) a multiple of 7? True Let f(z) = -19*z - 1. Let l be f(1). Let t be 4 + 6/(24/l). Does 17 divide 2 - (-1)/t - -42? False Suppose 181 + 29 = 6*d. Is d a multiple of 5? True Suppose a + 22 - 11 = 0. Let r = 1 - a. Is 9 a factor of r? False Suppose -3*o + 2*i = -5*o - 2, -10 = 2*o + 4*i. Does 34 divide o*(-103)/(-3) + -1? True Suppose -3*x - 41 = -4*s, 3*x = -2*s - 2*x + 53. Let b = 21 - s. Let c(y) = y**3 - 7*y**2 + 5*y - 5. Is c(b) a multiple of 15? True Let m(u) = 13*u + 62. Does 21 divide m(10)? False Suppose -8*u = -6*u - 20. Let f = 27 - u. Does 17 divide f? True Let t(r) = r**3 - 8*r**2 - r + 6. Let f be t(8). Let i(h) = 4*h**2 - 5*h - 5. Is i(f) a multiple of 3? True Let k = 700 + -440. Is 20 a factor of k? True Let h(t) be the first derivative of -t**3/3 - 9*t**2 + 24*t - 1. Does 17 divide h(-18)? False Suppose -6*d + 25 = -d - 2*l, l = -5. Suppose 4*j + 480 = 4*b, -b + 122 = -0*b - d*j. Is 22 a factor of b? False Let l = -14 + 24. Let u be (78/(-5))/((-18)/45). Suppose l = 7*n - u. Is n a multiple of 2? False Let p = -7 + 8. Let d(k) = 4*k + 3 + 2*k**2 - p - 1 + 0. Is d(-4) a multiple of 17? True Let z = -43 - -44. Suppose 0 = -q + r + z + 10, -3*r + 3 = 3*q. Is q a multiple of 3? True Let d(x) = x**3 + 20*x**2 + 2*x + 40. Let g be d(-20). Suppose 11*n - 9*n - 120 = g. Is 13 a factor of n? False Let l(k) = -3*k**3 - 2*k**2 + 6*k - 4. Let u be l(4). Let t = u - -136. Let x = t + 123. Does 15 divide x? False Let l(o) = -o + 5. Let x be l(0). Let s(t) = 2*t - 7. Let u be s(x). Let w = 0 + u. Does 2 divide w? False Let y = -9764 - -13745. Does 67 divide y? False Suppose 14*q = 33*q - 16169. Does 17 divide q? False Let y(j) = 15*j + 15. Let o be y(7). Let f = o - 42. Is 26 a factor of f? True Let y(r) = -9*r - 13. Let i(n) = 19*n + 27. Let s(w) = -2*i(w) - 5*y(w). Let g be s(8). Let l = -41 + g. Is l a multiple of 13? True Let y = -16 + 32. Is y a multiple of 9? False Let q = 989 + -544. Is 25 a factor of q? False Let c = 15 - 15. Suppose -2*a + 4*f = -f - 205, c = 2*f - 10. Does 10 divide a? False Let m = -39 + 65. Let q = m - -38. Is q a multiple of 8? True Let q = -289 - -446. Is 3 a factor of q? False Suppose 1528 = 2*j + f, -2*f + 4498 = 5*j + 677. Does 3 divide j? True Suppose 0 = -0*m - 5*m - 1520. Let w = -171 - m. Does 19 divide w? True Let r(q) = q**2 - 42*q - 5. Is r(-15) a multiple of 66? False Suppose 4 = d - 1. Suppose 19 = -d*g + 84. Suppose 2*l + 25 = 5*q, 5*q = 3*l + g + 7. Is 4 a factor of q? False Let o(f) = -54*f + 46. Is o(-17) a multiple of 13? False Is 3 a factor of (14 + 1)*(-300)/(-250)? True Suppose -2*a + 3*p = -1, 5*p + 25 = -5*a + 7*p. Let b = -5 - a. Is (b + -6)/((-2)/8) a multiple of 16? True Suppose t - 1 = -y - 4, -2*t + 8 = 0. Let w = y + 10. Suppose 121 = 4*v + 2*c - w*c, -2*v + 5*c = -83. Is v a multiple of 24? False Suppose 7*s - 2*s - 1458 = -2*d, 0 = 3*d + 3. Is 73 a factor of s? True Does 19 divide (-19)/((187/308)/(-17))? True Let d = -354 + 504. Does 15 divide d? True Suppose -4*w = 44 - 164. Is w a multiple of 24? False Let s be (-8)/(-8)*(3 + -44). Suppose -112 = -2*r - 4*v, -4*v + 5*v = -1. Let d = s + r. Is d a multiple of 17? True Let j = 65 - 44. Suppose 2*a = 4*z - 22, a + 3*z + j = 7*z. Let h = a - -55. Is 21 a factor of h? False Let a(c) = -44*c**3 - c**2 + c. Let n be a(1). Is 33 a factor of (n/16)/((-2)/48)? True Let q = -4056 + 7206. Does 42 divide q? True Suppose 6*v = 4*v + 4*z + 10, 0 = v - 4*z - 7. Suppose -5*s = -10*s + 4*g + 286, v*s - 170 = 2*g. Is s a multiple of 6? True Is 16 a factor of (-18)/126 - (-25287)/21? False Let j be (18/2)/(-5 - 85/(-20)). Is 1092/20 + j/(-30) a multiple of 15? False Suppose 2*t - 4*s = -68, s + 116 = -3*t - 0*s. Let n = -22 - t. Does 16 divide n? True Suppose -4*p - 50 = -m, -2*m - 4*p + 11 = -29. Suppose 18*r - m = 13*r. Is r even? True Let d(f) be the first derivative of -f**4/4 + 8*f**3/3 + 5*f**2 - f - 75. Let q(y) = 5*y - 1. Let z be q(2). Is 8 a factor of d(z)? True Let k(l) = 5*l**2 + 25*l - 21. Is k(-10) a multiple of 27? False Suppose p - 2*x = 2, -2*p + 2 + 2 = -2*x. Suppose -3*d - 5*r + 16 = 0, p = 3*r - 2*r. Is 15 a factor of 3 + -4 + 33 - d? True Suppose 4*n = -8, -4*b - 3*n = -2*b - 54. Is b a multiple of 5? True Suppose i = -2*w + 1102, 1106 = 2*w + 14*i - 11*i. Is 50 a factor o
{ "pile_set_name": "DM Mathematics" }
39677? 1/39677 -3 divided by -726137 3/726137 What is -39388 divided by 19694? -2 Divide 1692063 by -58347. -29 What is -378 divided by 3? -126 What is 0 divided by -75612? 0 What is 0 divided by -30180? 0 What is -46629 divided by 471? -99 1630404 divided by 18 90578 -791135 divided by 6 -791135/6 Divide -114950 by 1210. -95 Calculate -856 divided by 214. -4 Divide -4 by -215056. 1/53764 Divide -116228 by 196. -593 What is -1466569 divided by 39637? -37 Divide -100 by 6781. -100/6781 What is 57157 divided by -57157? -1 Divide 173512 by -1. -173512 Calculate -3 divided by -63135. 1/21045 -1516145 divided by 6 -1516145/6 Calculate 50340 divided by -16780. -3 1926468 divided by -642156 -3 -38 divided by -218 19/109 Calculate 3309 divided by -40. -3309/40 Calculate 7069 divided by -13. -7069/13 Calculate 5616 divided by 3. 1872 -437 divided by 612 -437/612 Divide -24 by -48593. 24/48593 Calculate -465 divided by 654. -155/218 What is 47 divided by 4? 47/4 Divide 2 by -183657. -2/183657 Calculate 128491 divided by -128491. -1 174 divided by -103 -174/103 117540 divided by 6 19590 What is 1 divided by -521041? -1/521041 What is 3 divided by -139149? -1/46383 150855 divided by -50285 -3 Calculate 752850 divided by -478. -1575 Divide -3 by 3704. -3/3704 Divide 10336 by -544. -19 Calculate -704025 divided by -5. 140805 What is 107536 divided by 2068? 52 -174 divided by 9 -58/3 What is -199660 divided by -67? 2980 Divide 12684 by -906. -14 Divide -53020 by -1. 53020 What is -44933 divided by -4? 44933/4 Divide -516924 by -2. 258462 What is -44785 divided by -5? 8957 Divide 181608 by -15134. -12 -13211 divided by -13211 1 Divide -840875 by -120125. 7 Divide -56418 by -9403. 6 -24 divided by 390 -4/65 -7195326 divided by 4306 -1671 What is 13 divided by -128292? -13/128292 Divide -31930 by 515. -62 -757 divided by 29 -757/29 4219808 divided by -527476 -8 What is 57 divided by 4134? 19/1378 Divide 279228 by -2. -139614 Calculate 0 divided by -3758. 0 Divide 30260 by -170. -178 What is -14274 divided by -793? 18 What is -173 divided by -203? 173/203 Calculate 5 divided by -5338. -5/5338 What is 2346276 divided by -17002? -138 What is -1176930 divided by -8718? 135 Divide -385332 by -2364. 163 Divide 4 by -5668. -1/1417 Calculate -23135 divided by -100. 4627/20 Divide 1151995 by 6. 1151995/6 Divide -1237 by -69. 1237/69 Calculate -187209 divided by 279. -671 Calculate -3519 divided by -23. 153 756 divided by -168 -9/2 Divide 4025 by 42. 575/6 1 divided by -1265986 -1/1265986 What is 1674890 divided by 167489? 10 21872 divided by -1367 -16 3053 divided by 50 3053/50 Divide 16 by -68638. -8/34319 What is 2161754 divided by -127162? -17 13 divided by -1501 -13/1501 What is -2066 divided by 177? -2066/177 What is 163575 divided by 32715? 5 Calculate 563 divided by -2098. -563/2098 6 divided by -1246 -3/623 179103 divided by -3 -59701 Calculate -52641 divided by -4. 52641/4 Divide 52624 by -2288. -23 Calculate -10120 divided by 37. -10120/37 Divide -151762 by 11674. -13 Divide -845468 by 845468. -1 -21127 divided by 157 -21127/157 What is 21168 divided by -189? -112 What is -4912 divided by -1? 4912 What is -695864 divided by 26? -26764 Divide 38453 by 7. 38453/7 What is -6 divided by -511? 6/511 What is -20145 divided by -1? 20145 What is -12966 divided by 3? -4322 195972 divided by -6 -32662 What is 25507 divided by -1109? -23 What is -472020 divided by 5? -94404 -342520 divided by -342520 1 -32240 divided by -130 248 433313 divided by 20 433313/20 -459 divided by 20 -459/20 What is 1448 divided by -1? -1448 68 divided by 1546 34/773 110919 divided by 36973 3 1155 divided by -54 -385/18 What is 1492434 divided by -6? -248739 What is -304017 divided by -7? 43431 Divide -35 by 11152. -35/11152 What is 175527 divided by -891? -197 Calculate 23794 divided by -6. -11897/3 What is -1602450 divided by 18? -89025 What is 10 divided by -707674? -5/353837 Divide -196 by -89. 196/89 Calculate 13370 divided by -482. -6685/241 Calculate 2 divided by -78865. -2/78865 Calculate -9010584 divided by -6. 1501764 What is -1652470 divided by -2? 826235 -708372 divided by -189 3748 Divide -2464 by -77. 32 37491750 divided by -6 -6248625 Divide 427 by 1339. 427/1339 -5422 divided by -9 5422/9 Divide 17030 by -65. -262 Calculate -26 divided by -6962. 13/3481 What is 161 divided by 6039? 161/6039 What is -550692 divided by 2? -275346 Divide -10741 by 2. -10741/2 -3096 divided by 89 -3096/89 Divide 239766 by 534. 449 Divide -359722 by 359722. -1 116645 divided by 23329 5 155439 divided by -19 -8181 Calculate 756 divided by 1227. 252/409 61158 divided by -20386 -3 -17079 divided by -3 5693 Calculate -7 divided by 4050. -7/4050 Divide 43392 by -6. -7232 What is -276 divided by -895? 276/895 Divide 484196 by -12742. -38 Calculate -484 divided by 99. -44/9 What is 6027 divided by 861? 7 What is 129805 divided by 65? 1997 Calculate -1539373 divided by 11. -139943 Calculate 99866 divided by -3841. -26 Calculate 129209 divided by 129209. 1 -10240 divided by 6 -5120/3 Calculate -190617 divided by 63539. -3 Divide 4855424 by 224. 21676 What is -17366 divided by -8683? 2 Calculate 211506 divided by 3. 70502 What is -2 divided by -29555? 2/29555 Divide -552584 by 69073. -8 Divide -125880 by 31470. -4 What is 1980 divided by 45? 44 What is -4998080 divided by -124952? 40 Calculate -19781 divided by 2. -19781/2 Divide -101155 by 1. -101155 Calculate -2769564 divided by 4. -692391 Divide -1113 by -20. 1113/20 Calculate -114774 divided by 66. -1739 135 divided by 3737 135/3737 Calculate 28032 divided by 96. 292 Divide 125928 by 3816. 33 Divide 432259 by 9197. 47 What is 4 divided by -5390? -2/2695 What is 20996 divided by -37? -20996/37 -164469 divided by 73 -2253 Calculate -345 divided by 5. -69 -7 divided by -373524 7/373524 What is 163927 divided by -1? -163927 Divide 62012 by -838. -74 Divide -151400 by 30280. -5 Divide 36788 by -17. -2164 What is 42547 divided by 40? 42547/40 Calculate -145 divided by -505. 29/101 Divide 362 by 739. 362/739 Divide 47 by 57300. 47/57300 Calculate 2478 divided by 177. 14 6288 divided by -9 -2096/3 What is -3187 divided by 64? -3187/64 What is -1167192 divided by 26? -44892 -13678 divided by -6839 2 0 divided by -146349 0 -45504 divided by 2 -22752 Divide 157995 by 5. 31599 Divide -3 by 39524. -3/39524 What is 4657 divided by -1? -4657 Calculate -34357 divided by 1. -34357 Calculate -183612 divided by 91806. -2 What is -375932 divided by 2? -187966 Divide -155466 by 77733. -2 Divide 59452 by -2. -29726 What is 111708 divided by -116? -963 6895296 divided by 1723824 4 What is 13308 divided by 3? 4436 What is 384 divided by -2? -192 What is 250 divided by -3934? -125/1967 43890 divided by -231 -190 Calculate -9 divided by 1940. -9/1940 Divide 350 by 15. 70/3 19290 divided by 6 3215 Calculate -3 divided by -1463591. 3/1463591 What is 248 divided by 26? 124/13 Calculate 8820 divided by 45. 196 1264 divided by -80 -79/5 Divide -536 by 4. -134 Calculate 67697 divided by -509. -133 Divide -5461 by 8. -5461/8 Calculate 1003744 divided by -8962. -112 Calculate 361 divided by -4. -361/4 126582 divided by 51 2482 Divide 52864 by 826. 64 Calculate -92 divided by -999. 92/999 Divide -32187 by 10729. -3 What is 87978 divided by -4? -43989/2 What is 208386 divided by 3? 69462 What is 35650 divided by 575? 62 Divide -7 by 333084. -7/333084 Calculate 3 divided by -29984. -3/29984 Divide 3251 by -21. -3251/21 Divide 270168 by -12. -22514 Divide 14580 by -10. -1458 What is 143730 divided by -10? -14373 Calculate 43792 divided by 952. 46 -439 divided by -9709 439/9709 Divide -218496 by -9104. 24 Calculate -448191 divided by -9. 49799 Divide -283 by 5. -283/5 Calculate -5 divided by 108584. -5/108584 -3389502 divided by -1 3389502 What is -19965 divided by 17? -19965/17 Calculate -7172 divided by 163. -44 Calculate -2 divided by -16952. 1/8476 What is -61 divided by -17871? 61/17871 What is 0 divided by 40724? 0 Calculate -48584 divided by -12146. 4 What is -572 divided by -17? 572/17 Calculate -317187 divided by -117. 2711 Divide 99057 by 1869. 53 What is 110 divided by -2488? -55/1244 What is -27520 divided by -2752? 10 What is -374155 divided by -5? 74831 Divide 60600 by -6. -
{ "pile_set_name": "DM Mathematics" }
+ 4*z - 16 = -0*z, d = -2*j - z + 9. Calculate the greatest common factor of t and j. 5 Let t be (1 + -4)/(1 + 0). Let p(g) = 4*g**2 + 3*g - 1. Let w be p(t). Let n be (-1 - 1)*(1716/8)/(-11). Calculate the highest common divisor of w and n. 13 Let o = -105 - -258. What is the highest common factor of o and 34? 17 Let i(w) = 12*w - 234. Let u be i(25). Calculate the greatest common factor of 462 and u. 66 Suppose -f + 5*l + 9 = 0, -3*f + f - 2*l = -18. Suppose 2*o + 3*i - 60 = 0, o - 3*o = 4*i - 56. Calculate the greatest common factor of o and f. 9 Let w(y) = y**3 + 8*y**2 - 20*y + 23. Let r be w(-11). Let t = 163 + r. What is the highest common factor of 344 and t? 43 Let q = -4306 + 6225. Calculate the greatest common divisor of q and 101. 101 Suppose 2*v + 4*b = 148, 0 = -2*v + 4*b + 97 + 59. Calculate the highest common divisor of v and 95. 19 Let s = -65 + 273. Suppose 63 = -5*q + s. Let t be q/2 + 6/4. What is the highest common divisor of t and 16? 16 Let m(b) = 108*b**2 - 5*b + 5. Let g be m(1). Suppose 6*o = 2*o + g. Calculate the highest common divisor of o and 3. 3 Let g = 8 + -6. Suppose -100*w = -4*p - 103*w + 11, 0 = -p + w + 1. What is the greatest common factor of g and p? 2 Suppose 2*s - 2*j - 8 = 0, -4*s - 1 + 5 = 2*j. What is the greatest common divisor of s and 142? 2 Let h = -274 - -334. Suppose -x - 4*x - 4*l + 55 = 0, -55 = -3*x + 2*l. What is the highest common divisor of h and x? 15 Let b be (21 - 15)*91/3. What is the highest common factor of 42 and b? 14 Let x(u) = -u**2 - 6*u - 1. Let c be x(-3). Suppose 0*a = -4*a + c. Suppose -5*z + a + 78 = 0. What is the highest common divisor of z and 144? 16 Let f be -3*(65/45 + 3)*-3. What is the highest common factor of f and 100? 20 Suppose -2*b - 3*b + 45 = 0. Suppose 0 = 10*d - b*d - 2. Suppose 0 = d*f + 4*w + 8, -2*w + 0*w = 4*f - 8. Calculate the greatest common factor of 10 and f. 2 Let g be (-14)/(-3) + 2/6. Let z be (2/2)/(10/100). Suppose 0 - z = -2*c - 4*b, 2 = b. What is the highest common factor of g and c? 1 Suppose -14 - 1 = -v. Suppose 106 - 8 = 7*p. Let i = p - 9. What is the highest common factor of v and i? 5 Let y = -99 - -163. Calculate the highest common factor of 8 and y. 8 Suppose -a - 245 = -2*c, 2*c = -7*a + 9*a + 248. Calculate the greatest common divisor of 1 and c. 1 Let s = 77 + -32. Let b = 89 - s. Calculate the highest common divisor of b and 4. 4 Let x = 41 + 30. What is the greatest common divisor of x and 142? 71 Suppose -r + 665 = -j + 2*j, -3*j = 3. What is the greatest common divisor of 74 and r? 74 Suppose r = 3*r - 8. Let f = -56 + -3. Let u = f - -67. What is the greatest common divisor of u and r? 4 Let g(n) = -5*n - 1. Let z be g(3). Let r = z + 34. Suppose j - 8 + r = 5*l, 0 = -l + 3. Calculate the greatest common divisor of 45 and j. 5 Suppose c = -c + 100. What is the highest common divisor of 400 and c? 50 Let h = -115 - -117. Suppose -6*v + 12 = -3*v. Suppose 4*y - 64 = -v*n, -n + 27 = 4*y + h. Calculate the greatest common divisor of n and 39. 13 Let u(a) = 42*a**2 + 5*a. Let d be u(-4). Suppose -m - 3*m + d = 2*p, -5*m + 813 = 3*p. What is the highest common divisor of m and 15? 15 Let j(y) = 28*y**3 - 23*y**2 + 63*y + 2. Let h be j(3). Calculate the greatest common factor of h and 222. 74 Let g be -10*(-5)/(125/10). Suppose 0 = 4*b - i - 3*i - 636, 639 = g*b - 5*i. Calculate the greatest common factor of 39 and b. 39 Suppose 3*a + 56 = -a. Let m = 21 - a. Suppose 0*q = 5*o + q - m, -5*o = -2*q - 20. What is the highest common divisor of 54 and o? 6 Let w be (5/6)/(3/18). Suppose n + 0 = w. Let k = n - -18. What is the highest common factor of 92 and k? 23 Suppose -135*p + 3751 = -132*p - 2*b, 3*p - 3750 = 3*b. Calculate the highest common divisor of p and 139. 139 Let u(a) = -3*a - 3. Let h be u(-5). Let s be 2*(-1 - (-1 - -1)). Let r(n) = -3*n + 2. Let m be r(s). What is the highest common factor of h and m? 4 Let g = 1546 - 1104. What is the highest common divisor of 34 and g? 34 Suppose -3*j - h + 29 = -0*j, -3*j - 2*h = -31. Let y(b) = b**2 - 8*b + 9. Let f be y(j). Calculate the highest common factor of f and 126. 18 Let j be (-1)/1 + (7 - 8). Let w = j + 62. What is the greatest common factor of w and 40? 20 Let k(w) = 1. Let m(b) be the first derivative of 10*b**2 + 8*b - 3. Let z(g) = 5*k(g) - m(g). Let l be z(-6). What is the highest common divisor of l and 13? 13 Suppose 3*u = o - 0*u + 217, 4*o - 4*u + 884 = 0. Let q be (-5)/15 + o/(-3). Calculate the highest common factor of 185 and q. 37 Suppose 10 = y - 2*s - 4, -4*s - 76 = -5*y. Let d be 6 + (-1 + -1 - 0). Calculate the highest common divisor of y and d. 4 Suppose 0 = 5*v - 5*z - 754 - 606, 2*v - 4*z - 536 = 0. What is the greatest common divisor of v and 24? 12 Let g be (-42)/4*16/(-12). Let o = 17 - 14. Let c be -8*(6/(-8))/o. Calculate the greatest common factor of c and g. 2 Suppose -n + 113 = 2*a - 72, -n = 3*a - 190. Suppose 9*o - 4*o = n. What is the highest common divisor of 7 and o? 7 Let t(u) = u**3 + 10*u**2 + 8*u - 10. Let m be t(-8). What is the highest common factor of m and 12? 6 Let l(w) = -w**3 - 11*w**2 + 26*w + 3. Let i be l(-13). What is the highest common factor of 192 and i? 3 Suppose -2*m = -4, -4*x - 6*m + m = -74. Let s = -23 - -23. Let o = s + x. Calculate the greatest common divisor of o and 4. 4 Suppose 0 = 2*s - 2*p - 5 + 1, -2*s + 4*p - 2 = 0. Suppose -2*z - 25 = 4*w - s*w, 3*z = 3*w - 81. Calculate the highest common factor of 87 and w. 29 Suppose 0 = 2*z + z + 5*f - 227, 77 = z + 3*f. Calculate the highest common factor of 555 and z. 37 Let f = -1265 + 1331. Calculate the highest common factor of f and 858. 66 Suppose -p = -v - 13, 32 - 11 = -v - 3*p. Let u be v/(-2)*6/3. Suppose -n + 17 = -u. What is the highest common divisor of 8 and n? 8 Suppose 3*x = 3*z + 75, 15*x + 2*z = 20*x - 110. What is the highest common factor of 60 and x? 20 Suppose z - 4*m = 131, z - 16*m - 116 = -15*m. What is the highest common factor of 3 and z? 3 Let t(z) = 10*z**2 - 12*z + 4. Let k be t(-4). Calculate the highest common factor of 1378 and k. 106 Suppose 7 + 3 = 2*m. Suppose 10 = -5*q - m*x, q + 17 = 5*q - x. What is the highest common factor of q and 3? 3 Let a(p) = 9*p**2 + 3*p - 2. Let v be a(2). Let x(z) = -z**3 + 4*z**2 + 51*z - 194. Let j be x(4). Calculate the highest common factor of v and j. 10 Let u = -1468 + 1480. Calculate the highest common divisor of 138 and u. 6 Suppose 3*q + 0*q - 6 = 0. Suppose -p = q*p. Suppose 3*j + 3*j - 162 = p. Calculate the greatest common factor of 27 and j. 27 Let i = -7 + 9. Suppose r = -3*g + 23, g = -i*r - 2 + 18. Suppose 5*o - 27 = 63. Calculate the highest common divisor of o and g. 6 Let q(o) = -7*o - 1. Let u be q(-2). Suppose -14*x = -10*x - 12. Suppose 0 = -p - x*p + 312. What is the highest common divisor of p and u? 13 Let x(q) = 10*q + 238. Let j be x(44). Calculate the highest common divisor of j and 6. 6 Let g be (119/35 - 3)*(-26 + 1). Let x be ((-8)/g)/2 + (-2220)/(-75). What is the greatest common divisor of x and 10? 10 Let i(q) = q + 4. Let r be i(-5). Let n be 17 - (r + (-1 - -6)). Calculate the highest common factor of n and 13. 13 Let r(w) be the first derivative of w**2/2 + 6*w - 6. Let b be r(-10). Let l be (-1 - b)/((-45)/(-210)). What is the highest common factor of l and 126? 14 Let j be (-45)/(-18) - (-9)/6. Calculate the greatest common factor of j and 76. 4 Let o(j) = -83*j - 13. Let d be o(-2). What is the greatest common factor of d and 34? 17 Let d(v) = v**3 + 45*v**2 - 48*v - 81. Let z be d(-46). What is the highest common factor of z and 8? 1 Let s = -199 - -595. Calculate the greatest common divisor of 44 and s. 44 Suppose -95*c + 99 = -92*c. Let x be 1/4 - (-2374)/8. Calculate the highest common factor of x and c. 33 Suppose 3*s + 20 = 8*s. Suppose -87 = -3*o - s*h + 190, 5*h - 460 = -5*o. Calculate the greatest common divisor of o and 13. 13 Let f be 13 - ((4 - 7) + 0). Let n = 16 + -23. Let b be 2/n - (-120)/28. What is the highest common divisor of b and f? 4 Suppose -4*l = -133 + 37. Suppose q + 8 = 2*c - 3*q, -3*c + 5*q + 9 = 0. Let f be (-36)/c*8/l. What is the greatest common divisor of f and 24? 6 Let x(q) = 25*q + 449. Let v be x(-17). What is the gre
{ "pile_set_name": "DM Mathematics" }
5. Suppose 3*f - 5 = -a. Let v = f + 12. Solve 0 = -3*y - 5*u - 11, v*y - u = -1 + 20 for y. 3 Let u = 23 - 20. Solve 1 = -2*z - h, -4*z + z - u*h = 3 for z. 0 Suppose 4*s = 8*s. Solve 2*w - 9 = 3*p, s*p + 4*w - 15 = 5*p for p. -3 Suppose -t - 3*t + 16 = 0. Solve t*w + 10 = 2*w, 0 = -4*b - w + 3 for b. 2 Let c be (0 - 0)*3/6. Suppose c*v = -4*v - 36. Let u = 16 + v. Solve 3*o + y + 2 = -3, -y = -3*o - u for o. -2 Suppose 0 = -21*g + 5*g + 80. Solve -o - 2*l + 4 = 0, -6 = -g*o + 2*l - 34 for o. -4 Suppose -5*m = 5*w - 85, -2*m - w + 46 = 4*w. Suppose -39 = -4*o + 3*j, -4*o + 19 = 4*j - m. Let p be 2/6*6*2. Solve -p*n - k = 3 - 26, -3*k = -o for n. 5 Let x be (((-30)/6)/(-5))/((-1)/(-5)). Solve -k - s + 11 = 4*k, 4*k = x*s + 32 for k. 3 Let d be 2/4 - (-3)/2. Let y be (8/(-12))/((-2)/39). Suppose -d*i + y = 3*n, n - 2*n + 2*i = -7. Solve 0 = -2*j + 5*h + n, 5*h = -2*j - 25 for j. -5 Let x = 9 - -4. Suppose 37 - x = 6*g. Solve 2*u - 2*p + 0*p = -g, 17 = -5*u - 2*p for u. -3 Let s = -2 + 0. Let v = -4 + 6. Let m = v - s. Solve -m*x + 11 = -3*n, x = -5*n + 6*n + 2 for x. 5 Let f(i) = -4*i - 5. Let b be f(-9). Let p = 0 + 0. Solve p = -3*t - 5*u + 11, -b = 5*t - u - 3*u for t. -3 Suppose f - 3 = -4*h + h, -3*h + 9 = -f. Let u be (30/(-18))/(1/f). Solve -4*x = -u*i, i - 6*i = -5*x for i. 0 Let c(j) = -j**3 - 4*j**2 - j + 1. Let y be c(-4). Solve -5*r - 2 - 12 = -3*b, -y*b + r = -16 for b. 3 Suppose -v - 2*v + 3*y = -6, -4*v + 5*y = -7. Solve 3*l + v*c + 9 = 6*l, 3*l - 1 = c for l. -1 Suppose -5*r - 6 - 11 = -3*w, -3*w + 7 = 5*r. Suppose -w*c + 39 = -1. Let j be (c/(-6))/(1/(-21)). Solve -3*y - 3*m = 3, 8*y - 5*m = 5*y - j for y. -5 Let o(q) = 2*q**2 - 6*q + 10. Let b be o(5). Suppose 0 = -r + 7*r - b. Let k(z) = -z**3 + 6*z**2. Let h be k(6). Solve r*n - 16 = -3*w, n + 0 - 2 = h for w. 2 Let s = 24 - 22. Solve 3*h + 30 = s*w + 7*h, -2*h = -2*w for w. 5 Let d(a) = -a**2 + 9*a - 9. Let r be d(7). Solve f - 2*f + 6 = -k, -28 = r*k - 3*f for k. -5 Suppose -1 = -5*l + 14. Solve -5 = -5*x - 2*m, l*x + 4*m + 2 = 5 for x. 1 Let y(x) = x**3 - 30*x**2 - 29*x - 58. Let k be y(31). Solve -26 = 3*m - k*f, 2*f = m + 15 - 3 for m. -2 Let v(x) = 3*x + 6. Let w be v(-5). Let a = -2 - w. Solve -4*r + 4*g = -a*r + 17, -2*g = 5*r - 19 for r. 3 Let o(v) = 3*v - 3 + 4*v**2 + 0*v**3 - 2*v**2 + 3*v**3 - 4*v**3. Let q be o(2). Solve -q*n = 3*w - 15 - 3, 0 = 2*w - 3*n - 2 for w. 4 Suppose 0 = -5*b + 3*z - 17, 0*b = -b + 4*z. Let v = b - -5. Let f(m) = 3*m**2 + 1. Let n be f(v). Solve 3*r - 2*p = 6 + 8, n*r + 2*p = 0 for r. 2 Suppose 3*h - 1 = -3*d - 7, 0 = d - 5*h - 10. Let v = d - -2. Solve 8 = 7*m - 3*m, 2*x - m = v for x. 2 Suppose i - 14 = 4*v, -4*i - 2*v + 2 = -0. Suppose 0 = i*t + 10, -3*d = d + 4*t + 20. Solve -o + 2 = 3*z, o = z - d*z + 2 for o. 2 Let w(d) = 3*d - 4. Let u(k) = 25*k - 33. Let s(q) = -6*u(q) + 51*w(q). Let f be s(3). Solve 0 = -2*r + 3*h + 9, h + 0 + f = -r for r. 0 Suppose 4*m + 8 = 4*a, 4*a = -4*m - 12 + 4. Let l be a + -7 - 0/(-3). Let s be (l/(-1))/((-4)/(-8)). Solve 2*j - 4*x + 23 = -1, 0 = 3*j + 4*x - s for j. -2 Let d = -29 - -37. Solve -3*g - d - 1 = 2*o, o = 2*g - 1 for g. -1 Let b = 1 + 4. Suppose 0 = -o + 2*v + 4, b*o + 3*v + 9 - 3 = 0. Solve -u = 5*i + 20, o*i = -5*u + i + 4 for u. 0 Suppose -18 = -3*f - 0*f - 3*u, 4*f - 5*u = 6. Solve -d + 5*h = -8, 5*d = f*h + 22 - 3 for d. 3 Suppose -l - 6 = -2. Let c = 3 - l. Solve -r - 14 = -3*u, -4*u + 2*r - 3*r + c = 0 for u. 3 Suppose 0 = -2*k - 5*n + 10, -2*k - 3*n + 2 = -8. Solve 5*j - 3*j = k*p - 7, 5*j = 5*p - 10 for j. -1 Suppose v - 3 = -0. Let f(p) = -p**2. Let l be f(0). Let t = v - l. Solve 3*k - t*h - 21 = 0, -5*h - 15 = 5*k - 0*k for k. 2 Suppose 0 = 2*f + 2*w - 4 - 2, 0 = f + 4*w + 3. Suppose f*x = x + 12. Solve -z + 8 = x*i, -4*i + 5 = -3 for z. 2 Let r(s) = -s**2 - 9*s - 9. Let q be r(-5). Solve -a = 2*v + 2*v - q, 0 = 5*v - 3*a - 1 for v. 2 Let p = -3 + 0. Let u(b) = -b. Let c be u(p). Solve c*a - 2*t = -4, -1 = 2*a - 2*t + 3 for a. 0 Let j(y) = y + 0*y**2 - 2*y + y**2. Let h be j(-1). Suppose -h*g = -3*x, -g - 3*x = -2*g. Solve 3*s = -k - 2*s - 15, g = -s - 3 for k. 0 Let i be (4 + (-32)/12)*(-6)/(-4). Solve -i*b - 1 = 5*s - 11, 8 = 4*s - 2*b for s. 2 Let f = 18 + -12. Let w(g) = g**2 + f*g**2 - 3*g**2 + 7 + 4*g - g**3. Let b be w(5). Solve -4*i - 4*s + 4 = 0, 3 = i - b*s + 11 for i. -2 Let z(k) = -6*k - 1. Let v(p) = -p - 7. Let b be v(-6). Let u be z(b). Suppose 0*x + 2*x + 5*d - 33 = 0, -x + 5*d = 21. Solve -4*c = 0, -8 + u = j - x*c for j. -3 Let c = 26 + -23. Suppose -5*x = s + 13, x + 9 = c*s - 0*x. Solve 2*y - 6 = -2*q, -5*y + 0*y + s*q = -15 for y. 3 Let s be 23 + 3 + -3 + -2. Let q be (s + -1)*(-8)/(-16). Let w = -6 + q. Solve 5*x = -v - 14, -w*v + 7 = 3 for x. -3 Let p(y) = y**2 + 9*y + 7. Let o be p(-5). Let i = -5 - o. Solve -3*j - j = z + i, -4*z - 2*j = 4 for z. 0 Let s be ((-4)/12)/(-1*1/39). Solve 0*z - z + s = 4*f, -3*z + 3 = 0 for f. 3 Suppose f = 3*f - 4. Solve -6 = -3*l + 4*h, -3*l - f*l + 10 = 4*h for l. 2 Let v be 4 + (-7)/1 + 7. Solve z + v*r + 19 = 0, -3*z + 2*r = -5 - 8 for z. 1 Let t be ((-12)/(-10))/((-6)/(-20)). Solve 0 = -0*d - 5*d + 3*c - 14, 5*d = -t*c + 7 for d. -1 Suppose 3*u = c - 2 - 4, -3*c + 3*u = -12. Let n = c + 0. Solve w + 9 = -3*i, 6*w = n*w - 3*i - 9 for w. 0 Let l be 6/3 - (-1 - 0). Let y(i) = -i**3 + 3*i**2 - 3. Let j be y(-2). Solve -l*u - t + 4 = j, 4*t + 17 = -5*u for u. -5 Let d(a) = a**3 + 12*a**2 + 10*a - 9. Let p be d(-11). Suppose -2 = -2*o, 0 = -x - p*o - 0*o + 2. Solve x*n - 21 = 5*n - j, -3*j - 37 = 5*n for n. -5 Suppose -9 - 10 = -4*z + h, -h + 17 = 5*z. Solve -2 = -5*i + z*x + 1, 3*i + 4*x - 21 = 0 for i. 3 Suppose 7*o - 4*o = 5*d - 10, 5*d - 10 = 2*o. Let m = -15 + 22. Solve 0 = z - 2*z - 2*h + m, -5*z - d*h + 19 = 0 for z. 3 Let t(q) = 4*q**2 - 3*q**2 + 2 + 2*q - 4*q. Let u be t(2). Solve -3*w + 5*y + 9 = 0, u*w + 4*y - 3*y + 7 = 0 for w. -2 Let k(w) = w**3 + 4*w**2 + 5*w + 4. Let s be k(-2). Suppose -s*m + 11 = -13. Solve -5*i = a - 5*a + 11, 2*a = -4*i + m for i. 1 Let w(t) = 6*t + 46. Let o be w(-7). Solve -2*s + o = 0, -2*x + 2*s - 10 = s for x. -4 Suppose -24 = -4*b - 92. Let s = b - -22. Solve 3*w + s*i = -0*w + 35, 5*w + 5*i - 45 = 0 for w. 5 Suppose -4*r - 4*v = 0, 3*r - r - 24 = 4*v. Let k(t) = -2 - 2 - 2*t - 2*t - r*t**2 + 6*t**2. Let u be k(5). Solve 2*h = -3*z + 14, -2*z - z + u = 5*h for h. 4 Let h(k) = 4*k**2 + k**2 - 5*k - 3 + 6*k - k**3. Let n be h(5). Solve 3*m = 5*y - 9, 4 = y + n*m - 3 for y. 3 Suppose -m + 33 = -5*l, -m - 5*l - 2 = 5. Suppose y = -5*q + 12, -y + q + 2*q - 4 = 0. Suppose 4*t - 45 + 29 = 0. Solve -3*w = -y*n - 5 + t, -w = 2*n + m for w. -3 Let t be 2 + 0/1 - -2. Solve i + i = 0, -t = -o + 5*i for o. 4 Suppose -4*a - 6 = 10. Let i be a/(-22) - 31/(-11). Let h be 32/6 - 2/6. Solve -4*c = -i*s + 3, -5*s + 10*s = h*c for c. -3 Let m be (-186)/(-15) + (-4)/10. Suppose -5*d + 4*s + 85 = 0, -5*s = -3*d + 6*d - 14. Let y = 15 - d. Solve 4*c - 10 = y, 5*h + c = -m for h. -3 Let s(o) = o**3 - 5*o**2 + 2*o - 6. Let n be s(5). Let p(f) = 2*f - 3 - 3*f - f. Let x be p(-4). Solve -n = -2*i + 2*m, 5*i - 2 = 4*i + x*m for i. 2 Let g be -5 + 6 - (-2 + -1). Solve 3*d = -w - 7, 4 = -2*w - 3*d - g for w. -1 Let f = -1 - -5. Solve -4*u + f*w = -24, 5*u + 2*w = -0*w + 16 for u. 4 Let l = 1 + 11. Let t = l + -10. Solve 0 = -3*r + 12, -2*x + 0*x + r = -t for x. 3 Let n(g) = 6*g**3 + 18*g**2 - 5*g**3 - 6*g**2 + 3. Let p be n(-12). Suppose -m + 0 = -p. Solve -m*u + 2*u = -2*h, 8 = -5*u + 2*h for u. -2 Let n be (60/(-8))/3*-2. Solve 3*b + n*q + 0 = -4, -5*b = -2*q - 14 for b. 2 Let c = 7 + -5. Let h(i) = -2*i - 14. Let s be h(-12). Solve -p - 2 = x, -s = 4*p + p + c*x for p. -2 Suppose 0 = 3*r + r. Suppose 9 + r = 3*f. Solve 0 = f*d + 9, -4*t - t + 5*d = -25 for t. 2 Suppose 2*r - s - 1 = 0, -4*r + r + 2*s - 1 = 0. Let a(t) = 2*t + 27. Let v be a(-11). Solve 4*o + 15 = r*c, -3*o - 3*c - v = c for o. -3 Suppose -10 = -30*w + 25*w. Solve 3*z = p + p - 18, 0 = w*z - 5*p + 23 for z. -4 Suppose 3*f + 0*x + 4*x - 69 = 0, -3*f - 3*x + 72 = 0. Let n = -13 + f. Solve 0 = -y + 5*k + n, 4*k - k = -y - 2 for y. 4 Suppose -5*p + 6 = -b + 5*b, 5*b + 2*p - 16 = 0. Solve -5*h + 19 = -f, 0 = h - 0*h + b*f + 13 for h. 3 Let t(z)
{ "pile_set_name": "DM Mathematics" }
is the greatest common divisor of 85777272 and 84? 84 What is the highest common divisor of 2572 and 426382? 2 Calculate the highest common factor of 346528 and 141904. 784 What is the greatest common factor of 341933 and 60386? 109 Calculate the greatest common factor of 189 and 82643904. 63 Calculate the greatest common divisor of 37790796 and 84. 12 Calculate the greatest common factor of 34074 and 218326. 1262 What is the highest common divisor of 7 and 9024827? 7 What is the greatest common divisor of 4416 and 565788224? 1472 What is the highest common divisor of 572 and 175190444? 572 Calculate the highest common divisor of 64980 and 50670. 90 What is the greatest common factor of 1370971 and 637? 49 What is the highest common factor of 133 and 12816545? 133 Calculate the highest common divisor of 53600667 and 3342. 1671 What is the greatest common divisor of 4716 and 21100956? 1572 What is the highest common factor of 795 and 972073? 53 What is the highest common factor of 2640423 and 33? 3 Calculate the greatest common divisor of 12 and 48926232. 12 Calculate the highest common divisor of 48334 and 5476614. 3718 What is the highest common factor of 2690523824 and 661? 661 What is the highest common factor of 24016401 and 18? 9 Calculate the highest common divisor of 178805480 and 11940. 3980 What is the highest common factor of 10794885 and 345? 15 What is the greatest common factor of 1305210 and 135? 15 Calculate the highest common factor of 86810317 and 11. 11 What is the highest common factor of 641025 and 203610? 165 Calculate the highest common factor of 27088304 and 138888. 5144 What is the greatest common factor of 11616856 and 27217? 1601 Calculate the highest common divisor of 150 and 131494125. 75 Calculate the greatest common divisor of 53846 and 902956. 4142 What is the highest common factor of 76 and 3943374? 38 What is the highest common divisor of 6993 and 10494603? 189 Calculate the highest common factor of 1180863 and 39022. 179 Calculate the highest common divisor of 1911340 and 380. 20 What is the greatest common divisor of 42 and 955862? 2 Calculate the greatest common factor of 2970 and 2521234485. 1485 What is the highest common factor of 2614871897 and 11? 11 What is the highest common factor of 565 and 17803037? 113 Calculate the highest common divisor of 4394368 and 933179. 3121 Calculate the greatest common divisor of 2701657303 and 2441. 2441 What is the highest common divisor of 34461126 and 3969? 567 What is the greatest common factor of 4456062 and 2488194? 2466 What is the greatest common factor of 3478356 and 31500? 252 Calculate the highest common divisor of 21600 and 1130148. 36 Calculate the greatest common factor of 39000601 and 346. 173 What is the highest common divisor of 1360 and 417918480? 1360 Calculate the greatest common factor of 19990215 and 4505. 85 What is the highest common divisor of 3421768 and 332949? 1247 What is the highest common divisor of 70950 and 3822270? 1290 Calculate the greatest common divisor of 25858800 and 100. 100 Calculate the greatest common factor of 190306226 and 22. 22 Calculate the highest common factor of 2310 and 6928026. 42 What is the highest common divisor of 403800 and 373080? 120 What is the greatest common factor of 38966477 and 121? 121 What is the greatest common factor of 741492 and 191952? 1548 Calculate the highest common divisor of 46990 and 46306105. 635 Calculate the greatest common factor of 676432 and 67536. 1072 What is the greatest common factor of 34017 and 177123? 1173 Calculate the greatest common divisor of 1995 and 15157611. 399 What is the highest common factor of 61 and 35730323? 61 Calculate the highest common divisor of 24803721 and 1900. 19 Calculate the highest common factor of 538760770 and 3230. 3230 What is the greatest common divisor of 76 and 4982218? 38 What is the highest common divisor of 11016290 and 1455? 485 Calculate the greatest common factor of 16 and 131640844. 4 What is the greatest common factor of 92 and 29766186? 46 What is the highest common divisor of 992 and 16451296? 32 Calculate the highest common divisor of 1532710 and 470. 10 Calculate the greatest common divisor of 98284 and 8. 4 What is the greatest common divisor of 3267 and 1312487? 121 What is the highest common divisor of 19760 and 57208240? 1520 What is the highest common divisor of 512972 and 9872? 4 Calculate the greatest common divisor of 38040 and 4115. 5 Calculate the highest common divisor of 13 and 86250203. 13 Calculate the highest common divisor of 61008 and 2176116. 492 Calculate the highest common factor of 22091840 and 7905. 2635 Calculate the highest common factor of 12439929 and 104619. 2433 What is the highest common factor of 32240 and 9042080? 2480 What is the greatest common factor of 60 and 134554872? 12 Calculate the highest common divisor of 7567420 and 57400. 140 What is the highest common divisor of 128965 and 2915? 5 Calculate the highest common divisor of 15 and 986845. 5 What is the highest common divisor of 1833042 and 816? 102 Calculate the highest common factor of 160 and 118295650. 10 Calculate the highest common factor of 7227554 and 5887. 841 Calculate the greatest common factor of 29000 and 26. 2 Calculate the highest common divisor of 4 and 2830295. 1 Calculate the greatest common divisor of 969 and 10534594. 17 Calculate the highest common divisor of 141981 and 28539. 21 Calculate the greatest common factor of 4823 and 39417651. 91 What is the greatest common factor of 23898060 and 188194? 2578 What is the greatest common factor of 40 and 5996728? 8 What is the highest common factor of 5 and 86789045? 5 What is the highest common divisor of 102 and 109110? 6 What is the greatest common factor of 127044600 and 400? 200 Calculate the highest common factor of 48684104 and 14. 14 Calculate the greatest common factor of 232956 and 91044. 324 What is the greatest common factor of 15 and 6867095? 5 What is the greatest common factor of 352031 and 53929? 199 Calculate the highest common divisor of 26 and 62425636. 26 Calculate the greatest common factor of 5905 and 427989676. 1181 Calculate the highest common divisor of 1715731317 and 53. 53 Calculate the highest common divisor of 242872 and 2576. 56 What is the highest common factor of 8174 and 23530872? 122 What is the greatest common factor of 427 and 48255514? 61 Calculate the greatest common factor of 310 and 1874680. 10 What is the greatest common divisor of 34453538 and 23030? 658 What is the greatest common factor of 5368 and 170192? 88 Calculate the highest common factor of 99 and 45963. 9 Calculate the highest common divisor of 9093241 and 20711. 139 What is the highest common factor of 3213 and 10148031? 459 Calculate the greatest common divisor of 915 and 5473225. 305 Calculate the highest common factor of 7727139 and 63. 63 Calculate the greatest common divisor of 21584 and 16176640. 1136 Calculate the greatest common factor of 1070 and 5600166. 214 What is the highest common factor of 3672873 and 1005? 201 What is the greatest common factor of 10810010 and 310? 310 What is the greatest common divisor of 252025 and 139825? 425 Calculate the greatest common factor of 29809 and 173486087. 2293 What is the greatest common factor of 446279562 and 19? 19 What is the greatest common factor of 50 and 303504020? 10 What is the greatest common divisor of 230 and 4106489? 23 Calculate the greatest common factor of 35626838 and 598. 26 Calculate the highest common divisor of 2437301 and 2701. 37 What is the greatest common factor of 31 and 26545362? 31 What is the highest common factor of 138 and 10340984? 46 What is the greatest common factor of 764868 and 1092? 156 Calculate the greatest common factor of 289 and 1985022. 17 What is the greatest common divisor of 27358200 and 6750? 450 Calculate the highest common divisor of 95 and 35500685. 5 What is the greatest common divisor of 1839008 and 869408? 3232 Calculate the highest common divisor of 519 and 278532768. 519 What is the greatest common divisor of 2252250 and 306? 18 Calculate the greatest common factor of 884811 and 53105. 817 Calculate the greatest common factor of 2223218 and 790. 158 Calculate the great
{ "pile_set_name": "DM Mathematics" }
minutes are there between 6:14 PM and 5:39 AM? 685 What is 597 minutes after 8:19 AM? 6:16 PM What is 526 minutes before 12:16 AM? 3:30 PM What is 419 minutes before 11:54 PM? 4:55 PM What is 627 minutes after 7:04 PM? 5:31 AM How many minutes are there between 3:41 PM and 12:40 AM? 539 How many minutes are there between 6:54 AM and 7:46 AM? 52 How many minutes are there between 2:23 PM and 2:50 PM? 27 How many minutes are there between 10:08 PM and 8:07 AM? 599 How many minutes are there between 1:25 AM and 11:32 AM? 607 What is 42 minutes before 3:21 AM? 2:39 AM What is 700 minutes after 2:29 AM? 2:09 PM What is 142 minutes after 8:50 PM? 11:12 PM What is 634 minutes before 9:54 PM? 11:20 AM How many minutes are there between 12:11 AM and 11:51 AM? 700 How many minutes are there between 2:47 AM and 8:18 AM? 331 How many minutes are there between 10:09 AM and 7:37 PM? 568 What is 152 minutes before 1:43 AM? 11:11 PM What is 700 minutes before 5:00 AM? 5:20 PM How many minutes are there between 4:43 PM and 5:34 PM? 51 How many minutes are there between 2:38 AM and 2:24 PM? 706 How many minutes are there between 7:18 AM and 12:49 PM? 331 How many minutes are there between 10:19 AM and 9:50 PM? 691 What is 402 minutes after 9:43 AM? 4:25 PM What is 250 minutes after 12:50 AM? 5:00 AM What is 52 minutes before 9:44 PM? 8:52 PM How many minutes are there between 8:39 PM and 12:39 AM? 240 How many minutes are there between 2:55 PM and 11:19 PM? 504 How many minutes are there between 11:28 PM and 5:21 AM? 353 How many minutes are there between 1:53 AM and 10:20 AM? 507 How many minutes are there between 10:08 AM and 10:14 AM? 6 What is 48 minutes before 12:39 PM? 11:51 AM What is 170 minutes before 3:45 AM? 12:55 AM How many minutes are there between 2:44 AM and 2:50 AM? 6 How many minutes are there between 6:30 PM and 12:42 AM? 372 How many minutes are there between 3:03 PM and 3:44 PM? 41 How many minutes are there between 9:52 PM and 1:47 AM? 235 What is 152 minutes before 4:33 PM? 2:01 PM How many minutes are there between 9:58 AM and 3:23 PM? 325 What is 652 minutes after 6:32 AM? 5:24 PM How many minutes are there between 7:52 PM and 5:47 AM? 595 What is 127 minutes before 1:16 PM? 11:09 AM How many minutes are there between 6:05 PM and 11:36 PM? 331 How many minutes are there between 6:22 AM and 4:49 PM? 627 How many minutes are there between 12:26 PM and 10:44 PM? 618 How many minutes are there between 3:44 PM and 1:25 AM? 581 What is 480 minutes after 6:07 AM? 2:07 PM How many minutes are there between 4:02 PM and 1:38 AM? 576 How many minutes are there between 11:52 PM and 4:16 AM? 264 How many minutes are there between 1:07 PM and 7:47 PM? 400 What is 243 minutes before 12:46 PM? 8:43 AM How many minutes are there between 12:45 AM and 8:55 AM? 490 How many minutes are there between 1:11 AM and 1:13 AM? 2 What is 588 minutes before 5:11 AM? 7:23 PM What is 211 minutes after 7:30 PM? 11:01 PM What is 252 minutes before 7:49 PM? 3:37 PM What is 582 minutes before 3:11 AM? 5:29 PM How many minutes are there between 10:45 PM and 3:58 AM? 313 How many minutes are there between 7:22 AM and 3:05 PM? 463 What is 115 minutes before 5:39 AM? 3:44 AM How many minutes are there between 4:57 PM and 4:17 AM? 680 What is 170 minutes before 11:12 AM? 8:22 AM How many minutes are there between 12:44 PM and 4:27 PM? 223 How many minutes are there between 8:28 AM and 4:44 PM? 496 How many minutes are there between 2:30 AM and 4:11 AM? 101 What is 528 minutes after 8:27 PM? 5:15 AM How many minutes are there between 7:04 PM and 4:17 AM? 553 What is 305 minutes before 5:56 PM? 12:51 PM How many minutes are there between 3:45 AM and 6:46 AM? 181 What is 88 minutes after 6:57 AM? 8:25 AM How many minutes are there between 10:49 PM and 8:35 AM? 586 How many minutes are there between 1:10 AM and 6:41 AM? 331 How many minutes are there between 12:44 PM and 12:28 AM? 704 How many minutes are there between 6:27 PM and 9:12 PM? 165 How many minutes are there between 4:36 AM and 12:14 PM? 458 How many minutes are there between 7:40 PM and 8:56 PM? 76 What is 690 minutes before 6:56 AM? 7:26 PM How many minutes are there between 1:12 AM and 10:19 AM? 547 What is 195 minutes before 2:28 PM? 11:13 AM What is 605 minutes after 8:53 AM? 6:58 PM What is 707 minutes after 11:04 AM? 10:51 PM What is 135 minutes before 12:26 AM? 10:11 PM How many minutes are there between 1:01 AM and 3:35 AM? 154 How many minutes are there between 7:04 PM and 8:06 PM? 62 What is 623 minutes before 11:28 PM? 1:05 PM How many minutes are there between 4:37 PM and 3:01 AM? 624 How many minutes are there between 3:29 AM and 9:06 AM? 337 How many minutes are there between 11:47 AM and 9:31 PM? 584 How many minutes are there between 4:16 PM and 4:15 AM? 719 How many minutes are there between 8:02 PM and 10:52 PM? 170 How many minutes are there between 9:18 AM and 2:40 PM? 322 How many minutes are there between 10:51 AM and 3:15 PM? 264 How many minutes are there between 7:27 PM and 12:36 AM? 309 What is 423 minutes before 1:28 AM? 6:25 PM What is 676 minutes before 11:53 AM? 12:37 AM How many minutes are there between 9:55 AM and 7:36 PM? 581 How many minutes are there between 5:20 PM and 6:50 PM? 90 How many minutes are there between 3:52 AM and 5:47 AM? 115 What is 63 minutes before 7:02 AM? 5:59 AM What is 250 minutes after 6:13 PM? 10:23 PM How many minutes are there between 4:58 PM and 8:09 PM? 191 How many minutes are there between 8:49 AM and 12:55 PM? 246 How many minutes are there between 4:58 PM and 8:13 PM? 195 What is 374 minutes before 12:16 AM? 6:02 PM What is 473 minutes after 9:20 AM? 5:13 PM What is 6 minutes after 10:19 PM? 10:25 PM What is 462 minutes after 1:39 PM? 9:21 PM How many minutes are there between 1:12 AM and 1:37 AM? 25 How many minutes are there between 2:44 PM and 4:27 PM? 103 How many minutes are there between 3:31 PM and 5:15 PM? 104 How many minutes are there between 7:37 PM and 4:49 AM? 552 How many minutes are there between 4:40 AM and 2:27 PM? 587 How many minutes are there between 6:03 PM and 11:58 PM? 355 What is 135 minutes after 9:04 PM? 11:19 PM How many minutes are there between 2:27 AM and 1:27 PM? 660 How many minutes are there between 12:10 PM and 4:53 PM? 283 What is 408 minutes before 6:03 AM? 11:15 PM How many minutes are there between 12:07 PM and 12:01 AM? 714 How many minutes are there between 5:43 PM and 12:39 AM? 416 What is 520 minutes before 12:04 PM? 3:24 AM What is 719 minutes before 11:01 AM? 11:02 PM What is 142 minutes before 3:53 AM? 1:31 AM What is 317 minutes after 8:56 AM? 2:13 PM How many minutes are there between 2:54 PM and 2:58 PM? 4 How many minutes are there between 9:47 AM and 12:23 PM? 156 What is 286 minutes before 1:22 AM? 8:36 PM What is 539 minutes before 12:36 AM? 3:37 PM What is 253 minutes after 11:55 AM? 4:08 PM How many minutes are there between 4:40 AM and 9:04 AM? 264 What is 266 minutes after 4:32 PM? 8:58 PM What is 41 minutes before 11:13 AM? 10:32 AM How many minutes are there between 5:56 PM and 8:43 PM? 167 How many minutes are there between 2:19 AM and 3:18 AM? 59 How many minutes are there between 12:37 AM and 6:36 AM? 359 How many minutes are there between 10:37 AM and 4:08 PM? 331 What is 410 minutes after 3:19 PM? 10:09 PM How many minutes are there between 8:04 AM and 2:15 PM? 371 How many minutes are there between 12:30 PM and 7:01 PM? 391 How many minutes are there between 2:56 AM and 8:14 AM? 318 How many minutes are there between 3:36 AM and 10:24 AM? 408 What is 69 minutes after 10:57 PM? 12:06 AM What is 639 minutes after 5:56 PM? 4:35 AM How many minutes are there between 2:37 PM and 8:05 PM? 328 How many minutes are there between 9:43 PM and 8:11 AM? 628 What is 296 minutes before 9:38 PM? 4:42 PM What is 77 minutes before 8:19 PM? 7:02 PM What is 327 minutes after 1:29 PM? 6:56 PM What is 618 minutes after 10:47 AM? 9:05 PM What is 691 minutes before 1:05 AM? 1:34 PM How many minutes are there between 9:21 PM and 9:05 AM? 704 What is 244 minutes after 11:07 PM? 3:11 AM How many minutes are there between 9:04 AM and 7:13 PM? 609 What is 104 minutes before 11:19 AM? 9:35 AM What is 634 minut
{ "pile_set_name": "DM Mathematics" }
ate the lowest common multiple of a and 21. 504 Let h(f) = -2*f**3 + 4*f**2 - 4*f + 2. Suppose 4*r + 0*r - 22 = 2*i, -3*i = -5*r + 30. Let d be h(r). Find the common denominator of 58/d - 3/1 and 23/6. 42 Let q = 92 - 60. Let y = 48 - q. Calculate the smallest common multiple of y and 20. 80 Let x = -6 - -8. Suppose 2*i - 2 = 0, 4*v - 7*i + x*i - 59 = 0. Let j(a) = a**2 + 2*a + 1. Calculate the smallest common multiple of v and j(-5). 16 Let h(u) = 0*u + 0 + 3 + 12*u + 11*u. What is the lowest common multiple of h(1) and 3? 78 Let l = 17 + -15. Let q(v) = 3*v - 4*v - 1 + l*v. Calculate the lowest common multiple of 4 and q(5). 4 Let n be ((-8)/12)/((-5)/15). Calculate the smallest common multiple of 108 and (-18 - (n + 0))/(-2). 540 Let f(k) = -k**2 + 18*k - 24. Suppose 2*d - 16 = 4*w, 2*d - 2*w - 34 = -10. Suppose 0 = 5*h - 2*h - 27. Calculate the lowest common multiple of f(d) and h. 72 Suppose 3*q = 4*q + 4*t + 12, 0 = -2*t + 6. Let k = q + 19. What is the common denominator of 55/3 and (-1)/k - (-4)/(-4)? 15 Suppose -5*h + 168 = -147. Let s = h + -19. What is the lowest common multiple of s and 4? 44 Suppose 4*c - 675 = -283. Calculate the least common multiple of c and 1. 98 What is the common denominator of (-1029)/336 - (-1)/4 and -79/80? 80 Let y(m) = m**3 - 14*m**2 - m + 20. Let d be y(14). Suppose t - d = -2*t. Find the common denominator of 274*3/36 + t and -91/18. 18 Let s = -9599677/12 + 799468. Let j = 511 + s. What is the common denominator of j and 17/33? 132 Suppose -m - 11 = 5*u - 7*u, -29 = -5*u + 2*m. Calculate the least common multiple of u and 5. 35 Let z(y) = -y**2 + 2*y + 1. Let m be z(2). Suppose 0 = -n - m. Let i(r) = -2*r + 2. Calculate the least common multiple of 2 and i(n). 4 Let t be (4 - -4)/(-4) + -79. Find the common denominator of (-18)/t - 1678/(-144) and 0 + 0 + 68/(-9). 72 Let z(v) = 15*v + 3. Let a be z(1). Suppose a*c = 10*c + 256. What is the least common multiple of 14 and c? 224 Find the common denominator of ((-4)/(112/255))/(90/20) and -145/36. 252 Let n = -19 - -33. Let c = -1183 + 1187. Calculate the smallest common multiple of c and n. 28 Let k(h) = 2*h - h - 18 - h - 3*h. Let a be k(-7). Suppose -a*c - 12 = -4*t, -4*c = 3 - 19. What is the smallest common multiple of t and 8? 24 Calculate the lowest common multiple of (-1482)/104*(-32)/6 and 8. 152 Calculate the common denominator of -125/66 and 0 + 426/(-1287) + (-12)/78. 66 Suppose -12*x + 56 = -19*x. What is the lowest common multiple of 40 and -5 + 20 - (-3 - x)? 40 Suppose 5*x = -3*t - 53 + 91, 0 = t + 5*x - 16. What is the least common multiple of -1 + 1 - (-148)/4 and t? 407 Let q = 29/205 - -559/164. Suppose -2*j = s - 13, j - 24 = -s - 3*s. Calculate the common denominator of q and ((-890)/(-100))/(j/(-5)). 40 Suppose -3*u = -3*s - 135, -4*u = -2*s - 46 - 54. Calculate the common denominator of (-4)/((-8)/(-6)) + (-34)/s and 11/20. 20 Let m(o) = o**3 - 17*o**2 - 6*o + 3. Let w be m(15). Let j = 3662671/9 + -406430. Let l = w + j. What is the common denominator of l and 97/10? 90 Let o = -215 - -263. Calculate the least common multiple of 60 and o. 240 Suppose 8*a = 3*r + 5*a - 672, 4*r = 2*a + 898. What is the lowest common multiple of 81 and r? 2025 Let p = 75680/9 - 42532529/5058. Calculate the common denominator of p and 49/18. 5058 Let y = -80 + 150. Calculate the smallest common multiple of y and 63. 630 Let j(h) = 3873*h + 6. Let b be j(-6). Let i = b - -33476. Let z = -204801/20 + i. Find the common denominator of z and 87/16. 80 Let o(w) = -w**3 - 5*w**2 + 3. Let i be o(-5). Let n be 4/(-34) + 27120/(-102) + -1. Find the common denominator of -74/9 and n/(-12)*(i - 2). 36 Calculate the common denominator of (-164)/7995 + (-3)/10 and 79/18. 234 Let a(h) = h**2 - 7*h + 7. Let o(j) = -j - 8*j**2 + 2 + 17 - 6*j**3 + 7*j**3. What is the smallest common multiple of a(7) and o(8)? 77 Let i = 2511 - 25077/10. What is the common denominator of i and -70/9? 90 Suppose 1375*k = 1378*k - 51. Suppose 6 = -0*m + 3*m. Suppose -m*s + 1 = -7. What is the smallest common multiple of s and k? 68 Let g = -256 + 260. Suppose 288 = 3*w - 4*n, 2*n - 288 = -0*w - 3*w. What is the smallest common multiple of w and g? 96 Let p = -299 + 397. What is the smallest common multiple of 12 and p? 588 Let b(w) = -6*w + 62. Let x be b(9). Let n(a) = a**2 - 9*a + 13. Calculate the least common multiple of n(x) and 1. 5 Let g = -994015/8 - -123888. Let u = g - -368. Calculate the common denominator of u and -52/7. 56 Suppose 3*v - 4 = 14. Suppose 109 + 869 = 3*r - s, 0 = 3*r - 3*s - 984. What is the lowest common multiple of 1/6 - r/(-30)*1 and v? 66 Let q = 21151/10 - 2118. Find the common denominator of q and (-3619)/(-840) - ((-13)/(-5) - 3). 120 Let l = 77 + -59. Suppose u - 4 = -2. Suppose l = 5*p - u. Calculate the lowest common multiple of p and 11. 44 Let h = -55 + 81. Suppose 48 = 14*w - 10*w. Calculate the least common multiple of h and w. 156 Let a = -31/6 + 31/42. Let f be (-3)/(-1) - (57655/(-35) + 4). Let w = f + -1649. Find the common denominator of w and a. 7 Suppose -4*b = -g + 3*g + 1254, 2*b - 5*g + 633 = 0. Let c = 2509/8 + b. Calculate the common denominator of c and -11/26. 104 Let b = 660 + -492. Calculate the smallest common multiple of b and 156. 2184 Suppose 56*g = 57*g - 66. Calculate the lowest common multiple of g and 44. 132 Let g(o) = -o**3 - 2*o**2 - 3*o + 3. Let j = 6 - 4. Calculate the smallest common multiple of g(-3) and j. 42 Suppose 3*r = 2*t + 12, 0 = -4*r - t - t + 16. Suppose 0 = 4*j + s - 60, r*j - 2*j - 2*s = 40. Calculate the lowest common multiple of 26 and j. 208 Let h = 1093 - 4445/4. What is the common denominator of h and 61/8? 8 Let i = 200251/32 + -6259. Calculate the common denominator of i and -39/20. 160 Let g = 6 - 5. Suppose 17 = 2*f + g. Let r(u) = 20*u. Calculate the smallest common multiple of r(1) and f. 40 Calculate the common denominator of 18/3 + (-18)/16 and 49/4. 8 Let j be (-4)/2 - (6 + 5 + -5). What is the smallest common multiple of 0 + (-369)/(-36) + 2/j and 20? 20 Let w be (-498)/72*(531 + 2). Let g = 3689 + w. Calculate the common denominator of -37/24 and g. 24 Suppose 4*k - 368 = -4*u, 3*u - 3*k - 209 = u. Calculate the smallest common multiple of u and 7. 679 Suppose -a = -t - 1905, 33 = 3*t + 4*a + 5734. Let j be (t - -1)*(-6)/192. Let y = j - 5579/80. Calculate the common denominator of 101/8 and y. 40 Let v = -17 - -21. Let o be 248/(-12)*(-6)/v. What is the common denominator of 59/2 and o*3/(-21) + 2? 14 Let r = -45881/12 - -3816. What is the common denominator of 11/1132 and r? 3396 Find the common denominator of (-3)/(-12)*2 + (-219)/(-45) and 125/54. 270 Let b(x) = -x**2 - 10*x + 9. Let j be b(-11). What is the common denominator of (j + 64/14)/((-15)/(-42)) and 55*(-2)/(-6)*1? 15 Suppose 37 = 5*o + t, 4*o - t - 26 = -3*t. Let w(i) = 10*i**3 - i**2. Let r be w(1). Suppose -r*d + 5*d = -20. Calculate the lowest common multiple of d and o. 40 Suppose -1 = -4*t - 3*o, 8 + 5 = -3*t - 5*o. Suppose -t*j + 0*j + 32 = 0. Calculate the lowest common multiple of 7 + (1 - (-6 + 6)) and j. 8 Let k = 1122/7 + -140166/875. Let m = -841/2250 + k. What is the common denominator of 25/24 and m? 72 Let v be (1/3)/((-1)/3). Let g = 5 + v. Let d(t) = -48*t - 130. Calculate the lowest common multiple of d(-3) and g. 28 Let n = 299247/22 + -13598. Find the common denominator of 81/22 and n. 22 Let s(i) = -9*i + 2 + 0*i**3 + 0*i - 7*i**2 - i**3 - 3*i. What is the lowest common multiple of s(-4) and 30? 30 Let q = -2 + 0. Suppose -3*x - 5*m = 10, 2*x + 2*x + m + 19 = 0. What is the common denominator of 51/4 and q/x + 1806/(-140)? 4 Find the common denominator of -22/49 and (-137)/(-42) + (-4)/8. 147 Suppose -g + 18 = -9*f + 6*f, -4*f = 20. Calculate the least common multiple of 96 and g. 96 Let o = -2708 + 24385/9. What is the common denominator of o and -64/81? 81 Let q = 1557/2 - 2390/3. Find the common denominator of -14/131 and q. 786 Let c(o) = -55*o - 429. Let n(j) = -12 - 3*j + 11 + 2*j. Calculate the smallest common multiple of c(-8) and n(-6). 55 Let l(r) = 11*r + 466. Let h be l(-42). Let t be 2/(118/(-122) + 1). Suppose -t + 21 = -h*f. Calculate the smallest common multiple of f and 6. 30 Le
{ "pile_set_name": "DM Mathematics" }
y, i, -3 Let n be -5 + (-4 - (-325)/35). Sort n, -2/11, 11. -2/11, n, 11 Let w = -0.7 + -5.3. Let y = w - -3. Let o = 2.6 + y. Sort 2/9, -2/11, o. o, -2/11, 2/9 Let g = 107/195 + 2/39. Put -0.5, g, -0.1 in increasing order. -0.5, -0.1, g Let n = -128/135 - -22/27. Put 2, 1/5, n in ascending order. n, 1/5, 2 Let d(v) = v - 2. Let k be d(-1). Put 1, k, -5 in descending order. 1, k, -5 Suppose k + 7 = 3*x, 2*x = 6*x + 3*k - 5. Sort 3, 0, x in decreasing order. 3, x, 0 Let t(d) = d**3 + 13*d**2 + 2*d + 31. Let o be t(-13). Sort 0, 12, o in decreasing order. 12, o, 0 Let v be 3 + (1 - (4 + 12/22)). Put v, 4, 2/9 in ascending order. v, 2/9, 4 Let a = 8 - 6. Suppose v - a = -0. Sort v, -0.2, 0. -0.2, 0, v Let c be 20/30 - (2/1 - 1). Put c, 2, 4, -4 in descending order. 4, 2, c, -4 Let k = 3.4 + -0.4. Let a = 3.1 - k. Let f = -1 - 3. Sort a, f, 2/7. f, a, 2/7 Let i = 17 + -15. Suppose 3*q - 7*q - 12 = 0. Sort q, i, -2 in decreasing order. i, -2, q Let c = -2 - -3. Let s(f) = -f. Let d(t) = -t**2 + 2*t + 1. Let y(j) = d(j) + 2*s(j). Let p be y(c). Sort p, 2/5, 3. p, 2/5, 3 Let o = 149 - 154. Put 2, -2, o, 5 in decreasing order. 5, 2, -2, o Let c(a) = -a**2 + 2*a + 5. Let r be c(0). Sort 0, -3, r. -3, 0, r Let h = 0 - 0.5. Let x = -0.57 - -0.54. Sort h, 0.4, x in increasing order. h, x, 0.4 Let h(g) = -g**2 + 18*g + 40. Let f be h(20). Sort 1, 0.4, -0.3, f in descending order. 1, 0.4, f, -0.3 Suppose 0 = -4*l + 4*y + 12, 2*y + 4 + 2 = 5*l. Suppose l*t - 3*t = 6. Suppose -3*m + 0*m = 9. Sort 1, m, t in increasing order. m, t, 1 Let o = 0.3 + -0.6. Sort 2/5, o, -4 in descending order. 2/5, o, -4 Let r = 9.9 - 10. Let x be (14/(-28))/(2 + 0). Put x, 2, r in ascending order. x, r, 2 Let y = 15 - 20. Put 1/2, y, -4 in increasing order. y, -4, 1/2 Let g = 15 - 14. Sort -4, g, 6 in decreasing order. 6, g, -4 Let v(j) = -9*j - 62. Let h be v(-7). Put -3/7, h, 0.5 in ascending order. -3/7, 0.5, h Let x(z) be the second derivative of -z**4/12 + 7*z**3/6 + 9*z**2/2 + z. Let i be x(8). Let y = i - -3. Sort 3, y, -5 in descending order. y, 3, -5 Suppose 2*f + 2*h - 10 = 0, 4*h - 3 - 25 = -5*f. Let y = f - 6. Let t be ((y - 0) + -2)/1. Put 1, -0.4, t in decreasing order. 1, t, -0.4 Suppose -p + 7 = -b + 3, 0 = 5*p + 3*b - 28. Suppose t = 2*y + 10, -y + p*t - 8 = 6. Let u be 4/(-10) - 16/10. Sort 5, y, u. y, u, 5 Let u = 6 - 11. Let c be -3*(-1)/6*2. Let p = c - 1. Sort p, u, 3 in increasing order. u, p, 3 Suppose -2*b + 10 = 2*b - 5*w, 5*w - 10 = 0. Let k = b - 6. Sort 2, 3, k in descending order. 3, 2, k Let j = 90 + -86. Put 0, 1, j, 6 in descending order. 6, j, 1, 0 Let w = -0.21 + 8.21. Let f = w + -6. Let k = f + -1.9. Sort k, -0.1, 4. -0.1, k, 4 Let s = 18.66 + -19. Let h = -0.94 - -1. Let i = h - s. Sort i, 4, -1/2 in ascending order. -1/2, i, 4 Let m = 24 + -29. Let a(l) = -7*l**2 + l - 1. Let n be a(1). Let b be (-22)/(-126) + 2/n. Sort m, 3, b in ascending order. m, b, 3 Let u = 2.5 - 3. Let p = -8/95 + -102/1045. Sort 1, p, u in decreasing order. 1, p, u Let n = -21 - -41. Let s be (n/14)/(-5)*-7. Sort -1, 3, s in ascending order. -1, s, 3 Let x be ((-4)/6)/(2/(-9)). Suppose 5*k + 115 = 5*u, -2*u + 60 + 21 = 5*k. Suppose -z = 3*j + 16, -4*z + 0*j - u = 3*j. Put x, 4, z in decreasing order. 4, x, z Let g(w) = w + 3. Let v be g(0). Suppose -7 + v = o. Suppose -4*d = -0*d. Put o, d, 2 in increasing order. o, d, 2 Suppose 8*s + 16 = -8. Suppose -3*h - 2 = -4*h. Suppose 5*g = 3*t - 14 - 16, 2*t - h*g - 16 = 0. Sort t, s, -5 in ascending order. -5, s, t Suppose 48 = -3*c - 3*f, -3*c + 2*f - 34 = 24. Sort 2, -5, c, -4. c, -5, -4, 2 Let c = 27 - 299/11. Put 0.4, -2/15, c, 0 in ascending order. c, -2/15, 0, 0.4 Let t = 0.02 - -0.02. Let k = -0.2 + 0.3. Sort t, k, 3 in decreasing order. 3, k, t Let b = 8.84 - -0.16. Let p = -9.5 + b. Let g be -3*2/16 + 0. Put g, -1/3, p in decreasing order. -1/3, g, p Suppose -5*s - 4 = 1. Sort 9, 5, s. s, 5, 9 Let n = -6.2 + 0.2. Sort n, 3, -5. n, -5, 3 Let u be -1 + (4 + -2 - 1). Suppose u = -5*w + 3*c + 12 + 7, 0 = 3*w - 2*c - 12. Let m be w*(-4)/(24/15). Sort -2, m, -1 in descending order. -1, -2, m Let x be (-2)/5 + (-16)/10. Let c be (5 - 10)/(1 - 0). Let d(v) = -v**2 - 7*v - 5. Let r be d(-6). Sort x, r, c in decreasing order. r, x, c Let o = 48 + -143/3. Let w = -0.27 + 0.18. Let s = -0.39 - w. Sort s, 0.3, o. s, 0.3, o Let t be 89/3 + 3/9. Let v be (2 + t/(-14))*-2. Put 3/7, v, 1 in decreasing order. 1, 3/7, v Let d = 3.7 + -4. Let m be 6/18 - (-386)/12. Let w = -581/18 + m. Sort -2/25, d, w in increasing order. d, -2/25, w Let b be (-6)/(-1) - (3 - 1). Suppose -3*h = h - 4*t + 8, -4*h + 10 = 5*t. Put h, 6, b in descending order. 6, b, h Suppose 8 = 4*q - 36. Let w = 11 - q. Sort -3, w, 1 in decreasing order. 1, w, -3 Suppose -5*r - 16 = 4. Sort r, 2, 3 in increasing order. r, 2, 3 Suppose -7 + 55 = -8*v. Let n be (1 - -1) + 7/(-5). Sort v, n, 0.3 in increasing order. v, 0.3, n Let r = 0.36 + 0.02. Let u = 0.12 - 0.2. Let n = r + u. Put -5, 3, n in descending order. 3, n, -5 Let k = -17 - -13. Let q be -1 + 0 + (-12)/(-14). Put 4, q, k in decreasing order. 4, q, k Let o(p) = -p**3 + 5*p**2 + 6*p + 5. Let r be o(6). Let s(x) = -8*x + 24. Let y be s(8). Let k be (-16)/y - 12/r. Sort 5, k, 1 in decreasing order. 5, 1, k Let w = 20 - 12. Suppose 7*n = 3*n - w. Let c = 8 + -7.7. Sort -4, n, c in descending order. c, n, -4 Let d = -0.5 - -0.8. Let z = -1010201/4194 + 301/466. Let w = z + 240. Put 3, w, d in ascending order. w, d, 3 Let m(n) = n**2 - 7*n - 2. Let x be m(5). Let l = -6 + 12. Let r be (-8)/x*l/2. Put r, 4, -4 in decreasing order. 4, r, -4 Let q(b) = -b + 7. Let t be q(5). Suppose 5*k = 12 + 8. Sort t, k, -2 in decreasing order. k, t, -2 Suppose 0 = 3*f + 4*v - 32, f - v - 3*v = -16. Suppose 0*s - f = -4*p + 5*s, p - 1 = 4*s. Sort 2, 5, p in increasing order. p, 2, 5 Suppose -4*s + 3*l = -l, -2 = -3*s + 4*l. Put -1/2, s, -3/5, 4 in decreasing order. 4, -1/2, -3/5, s Let c(o) = o**2 + 7*o - 13. Let k(q) = -q**2 - 7*q + 14. Let w(m) = -4*c(m) - 3*k(m). Let v be w(-8). Suppose -v*u = 3*u + 10. Sort 2, 3, u in ascending order. u, 2, 3 Suppose 2*z - u + 4*u - 14 = 0, -3*z = -2*u - 34. Suppose -7*d = -z*d - 12. Put 3, d, -3 in increasing order. d, -3, 3 Suppose 0 = -3*g + 3*p + 15, 4*g + 2 + 6 = -3*p. Sort 0, -2, 3, g in descending order. 3, g, 0, -2 Let g be (-11)/4 - 5/20. Put g, 3, -1 in decreasing order. 3, -1, g Let b(o) = o**2 + 6*o + 3. Let t be b(-4). Let u be 14/(-49) - (-926)/7. Let p be (-2)/(-7) - u/(-28). Sort p, t, 0.1 in descending order. p, 0.1, t Let y(t) = -t**2 + 6. Let o be y(-6). Sort -5, -1, o, 2 in increasing order. o, -5, -1, 2 Let w be (-24)/108 - 1*(-1)/45. Sort -2, 1/6, w, 2/11 in increasing order. -2, w, 1/6, 2/11 Let h(s) = s**3 + 5*s**2 + s + 8. Let p be h(-5). Let x = 40 - 23. Suppose -4*g + 5 - x = 0. Sort 2, g, p. g, 2, p Let c = 1.5 + -1.6. Let i = 7/20 + -9/40. Put -2/11, c, i in increasing order. -2/11, c, i Suppose 4*i + 2 = -2. Suppose -y - 13 = y + 5*p, 4*p = 4*y + 12. Sort y, i, 2 in ascending order. y, i, 2 Let j = 97 + -103. Sort 0.3, 0.1, j, 3/2. j, 0.1, 0.3, 3/2 Let a = -4 + 4. Let n = -2 + 4. Suppose n = -f - a*f. Sort f, -4, 3 in decreasing order. 3, f, -4 Let w = 21 - 19. Put w, 3, 1 in decreasing order. 3, w, 1 Let g(t) = t + 1. Let b be g(0). Suppose -3*d + b = 10. Let m(y) = -y**2 - 2*y + 1. Let o be m(-3). Put d, -5, o in descending order. o, d, -5 Let j(b) be the third derivative of -b**4/24 - 3*b**3/2 - 2*b**2. Let n be j(-9). Let w be -2 + -2*2/(-4). Put w, n, 2 in decreasing order. 2, n, w Let y = 16/17 - 163/119. Let k = 0.1 + 0.4. Put k, y, -2 in increasing order. -2, y, k Let v be (1*2/6)/((-2)/18). Sort -1, v, -4, 1/3. -4, v, -1, 1/3 Let b = 40.1 - 40. Put 4, b, 0.03 in decreasing order. 4, b, 0.03 Let w(y) = 5*y + 2. Let l be w(0). Sort 11, 0, l. 0, l, 11 Let g = -0.353 + 0.053. Sort 1/10, 5, 2/3, g in decreasing order. 5, 2/3, 1/10, g Let g = -3 - -7. Let j(p) = -p**3 + 8*p**2 - p + 8. Let z be j(8). Sort z, 5, g in decreasing order. 5, g, z Let h(x) = 3*x + 3. Let a be h(-3). Let c = 13/2 + a. Put c, 3, -3 in descending order. 3, c, -3 Suppose 4*s = 1 + 3. Let z be s/(1 - (0 - -3)). Sort -3/2, 0.1, z in decreasing order. 0.1, z, -3/2 Suppose 2*r = 3*b - 13,
{ "pile_set_name": "DM Mathematics" }
+ f and give o. -573 Express (-1 + 0 + 0)*(256 + 25*k**2 - 2*k**3 - 507 + 249) in the form i*k**2 + f + t*k + x*k**3 and give f. 2 Rearrange 66*d**2 + 60*d**2 + 798*d - 797*d to the form l*d + j*d**2 + c and give l. 1 Rearrange -263*h**2 + 2*h**4 + 266*h**2 + 22 - 21 - 19*h to the form m*h**2 + p*h + k*h**3 + y + r*h**4 and give m. 3 Express 1 + 11*r**4 + 33*r**4 - 35*r**4 + 9*r**3 as v*r + d*r**2 + a*r**3 + i*r**4 + y and give a. 9 Rearrange b + 1066 + 2*b - 1078 to n*b + u and give u. -12 Express (5*w**2 + 0*w - w - 3*w**2)*(-52*w - 53*w + 3*w) in the form h + a*w**3 + b*w + i*w**2 and give a. -204 Rearrange (-3*j - j + 5*j)*(-4 + 3 - 2)*((-1 + 0 + 2)*(1 + 2 - 1) + 6 - 2 - 1) to r + y*j and give y. -15 Rearrange 94 - 31 - 25 - 37 - 148*x**2 to the form o*x + s*x**2 + j and give s. -148 Rearrange -21*k - 2*k**2 - k**4 - 18*k - 17*k + 58*k + 14*k**3 to a*k + j*k**2 + m*k**4 + x*k**3 + v and give m. -1 Express -29 + 2*p**3 + 7 + 66 as b*p**2 + j*p + q*p**3 + d and give d. 44 Rearrange (-j**2 + 9*j**2 + 2*j**2)*(-23*j + 980 + 2*j - 988) to the form r + n*j**2 + g*j + y*j**3 and give y. -210 Rearrange -81*r**3 + 0 + r**4 - 28*r**3 + 3*r**2 - 2*r - 2*r**2 - 2 - 31*r**3 to b*r**2 + o*r + d*r**4 + g*r**3 + u and give o. -2 Express -d**2 - 2*d + 2*d + (4*d - 3*d + d)*(-6*d + 14*d + 4*d) - 4*d**2 + d**2 - 2*d**2 in the form q + o*d**2 + m*d and give q. 0 Express d**2 - 66*d - 64*d - 71*d - 68*d + 253*d in the form c*d**2 + w + h*d and give h. -16 Rearrange (f**2 - 2*f**2 + 4*f**2 + (0*f - 2*f + f)*(-2*f + 2 - 2))*(2203*f**2 - 1 - 2197*f**2 - 2 - 6*f) to c + r*f + m*f**4 + b*f**2 + n*f**3 and give n. -30 Rearrange -1 + 818*k**4 + 2*k**3 - 816*k**4 + 0 + 14*k**2 to the form l*k**4 + o*k**3 + s*k**2 + p*k + z and give s. 14 Express (-10 - 11*d + 10)*(1 - 1 - 1)*(5*d**3 + 8*d**3 - 20*d**3) as w*d**2 + g*d**3 + v*d + s + j*d**4 and give j. -77 Express -3*b**2 + b**2 + 0*b**2 + (-4 + 4 - b)*(-8*b + 7*b + 19*b) as p*b**2 + g*b + w and give p. -20 Express 81*c**2 - 247*c + 247*c + 6*c**2 as i*c**2 + q + g*c and give g. 0 Rearrange (-3 + 172*c + 3)*(-2*c**3 - 5*c**3 + 0*c**3) to the form d*c**2 + o*c + i + j*c**3 + b*c**4 and give b. -1204 Rearrange 25 + 7*k**2 + 7*k**2 + 3*k**2 - 15*k**2 to z*k + j + x*k**2 and give j. 25 Rearrange -1 + 18*k - 21*k - 6*k**3 + k to the form g + w*k**3 + o*k + a*k**2 and give w. -6 Rearrange -j**3 - 32*j**2 + 9*j**2 - 7 + 10*j**2 to the form q*j + l + x*j**3 + p*j**2 and give l. -7 Rearrange 7*r**2 + 2*r**4 - r**3 - 22*r**2 + 21*r**2 - 6*r to z*r**4 + j*r**2 + s*r**3 + g + i*r and give s. -1 Express y**3 + 8453 - 8461 + 0*y**3 in the form l*y + v*y**3 + p + x*y**2 and give p. -8 Express (2*o**3 + o**3 - 6*o**3)*(-5 + 46*o - 25*o - 19*o) + 20*o**4 + 31*o**4 - 86*o**4 as s*o**4 + d*o + y + z*o**2 + v*o**3 and give s. -41 Rearrange 1362*w + 1198*w + 930*w + w - w - w + (-3 + 3 + w)*(-2 - 1 + 1) + 4*w - 4*w + w - 3*w + w + w to u + c*w and give c. 3487 Rearrange -3*q + 7 - 12 + 16*q**2 + 8 + 2*q to the form g*q + f + j*q**2 and give j. 16 Express (16*p**3 + 32*p**3 - 33*p**3)*(17 + 6*p + 2*p - 9*p) as f*p**4 + o*p**3 + u + l*p + w*p**2 and give f. -15 Rearrange (59*w**3 - 221 + 221)*(1 - 9 + 2) + w**3 - 1 + 1 to a + q*w**3 + l*w + c*w**2 and give q. -353 Express ((5 - 5 + 3*x)*(4 - 1 - 1) + 6*x - 9*x + 5*x)*(1 - 1 - 5) in the form d + s*x and give s. -40 Rearrange (-40*k - 86 - 85 + 174)*(5*k - k + 0*k) + k**2 + 0*k**2 + 0*k**2 to r*k**2 + u*k + z and give u. 12 Express (2 - 2 + s**2)*((-s + s - 2*s**2)*(2 - 5 + 4) + 7*s**2 - 12*s + 12*s - 84*s**2 - 54*s**2 + 75*s**2) as j*s + k*s**2 + o*s**3 + p*s**4 + a and give p. -58 Express 13*o - 13*o + 3 - 11 + 18*o**2 as c*o**2 + y + g*o and give g. 0 Rearrange v + 2*v**3 - 2*v**3 - 4*v**2 - 4*v + 2*v**3 to c + x*v**3 + m*v**2 + n*v and give x. 2 Express 251*p**2 + 351*p**2 + 5*p**2 as t*p + n + o*p**2 and give o. 607 Express 264*x - 1047*x + 555*x as s + c*x and give c. -228 Express 50*f**3 - 18*f**3 - 2 - 118*f**4 - 14*f**3 - 20*f**3 as b*f**2 + q*f + s*f**3 + n*f**4 + w and give n. -118 Express (-2 + 3 + 0)*(0 - 8 + 0)*(105*s + 103*s - 85*s) in the form f*s + a and give f. -984 Express -84 + 84 - 53*n in the form x*n + l and give x. -53 Express (-96*v + 2*v + 3*v)*(-4*v**3 + 3*v**3 - v**3 + (1 + v**2 - 1)*(-v + 2*v - 2*v)) in the form j + m*v + s*v**4 + l*v**3 + c*v**2 and give s. 273 Express 5*b + 209*b**2 + 7*b - 768*b**2 - 12*b in the form z*b + w*b**2 + c and give w. -559 Express (1 + 3 - 2)*(-2*w**3 + 4*w**3 + 3*w**3) + (-3*w**3 - 3*w**3 + w**3)*(-3 - 1 - 4) + 8*w**2 + 7*w**3 - 8*w**2 as l*w**3 + x + z*w + c*w**2 and give l. 57 Express 10 - 9 - 2*i**2 + 145*i**3 + 10*i**3 in the form z*i**3 + k*i**2 + y + l*i and give k. -2 Express (7*v - 3*v - 2*v)*(v**2 - 421*v - 84 + 421*v) + 2*v**3 + 5*v**3 + 3*v**3 as y*v**3 + g*v**2 + s + h*v and give h. -168 Rearrange -231*r - 231*r + 221*r**2 + 462*r to the form o*r**2 + a + b*r and give o. 221 Express 53*c**2 + 189*c**3 - 2*c - 42*c**2 - 181*c**3 as l*c**2 + w*c + i + t*c**3 and give w. -2 Express 37*l**2 + l - 10*l**2 - 28 + 26 in the form t + q*l**2 + p*l and give p. 1 Rearrange -3177 + 61*n**2 + 3178 - 163*n**2 to r*n**2 + i + q*n and give q. 0 Rearrange (2*y + y - y)*(-4 - 3 + 2) + 4*y - 6*y - 8*y - y - 3*y + 0*y to x + k*y and give k. -24 Express (-3 - 2 - 8)*(4*z - 4*z - 2*z**3)*(2 + 10 - 5) + 0 + 2*z**3 + 0 in the form n*z**3 + a*z**2 + j*z + s and give n. 184 Express (7*a**3 + 3*a**3 + a**3)*(-34 + 20 - 81 - 27) as z*a + l + y*a**2 + k*a**3 and give l. 0 Rearrange 56*c**2 - c**2 + 30*c**2 + (-c + 0*c - 3*c + (c - 3*c - c)*(-7 + 3 + 2))*(c - 4*c + 2*c) to h + q*c + o*c**2 and give o. 83 Rearrange ((1 - 3 + 3)*(v - v + 3*v) - 3 + 44*v + 3)*(7*v + 8*v - 7*v) to the form m*v**2 + j + n*v and give m. 376 Express -43*p**2 + 5 + 26 - 25 in the form h*p**2 + d*p + l and give h. -43 Express -3*y**3 - 115*y**2 + 218*y**2 - 113*y**2 in the form p*y**2 + s + j*y**3 + u*y and give p. -10 Express 33*y**2 + 25*y**2 - 5*y - 93*y**2 in the form b + k*y + c*y**2 and give k. -5 Express (y - 6*y + 3*y)*(-5 + 5 - 2)*(-4 + 3 - 2)*(13*y - 12*y + 24*y) as t + l*y + r*y**2 and give r. -300 Express (-21*o - 3*o**3 + 21*o)*((2*o + 3*o + 0*o)*(-3 + 4 - 2) + 6*o - 7*o + 5*o) in the form h*o**2 + c*o + b*o**3 + i + f*o**4 and give f. 3 Express -3*p**4 + 0*p**4 + p**4 + (25*p**2 + 163 - 163)*(-2*p - 4*p + 3*p)*(2*p + 2*p - 5*p) in the form g*p + x + j*p**4 + w*p**2 + a*p**3 and give j. 73 Express 1586*l**2 - 71*l**2 - 131*l**2 as y*l**2 + h*l + c and give y. 1384 Express -256 + 132 + 124 + 102*w + 144*w in the form q + g*w and give g. 246 Rearrange p + 11*p**2 - 15*p**2 + 13*p**4 + 2*p**2 to the form f*p**2 + i*p**3 + r + c*p + y*p**4 and give c. 1 Express (3 - 3*f - 3)*(-4 - 2 + 7 + (4 - 1 - 5)*(2 - 2 + 1) + 1 - 2 + 4) as y*f + g and give y. -6 Express -l**3 - 2*l**4 + l**3 + (3*l + l**2 - 3*l)*(0 - 2 + 0)*(-282 + 282 + 336*l**2) in the form n*l + t*l**4 + p*l**2 + a + u*l**3 and give t. -674 Express -22*h**4 - 5*h**2 + h + 3*h**4 + 23*h**4 in the form y*h**2 + u + l*h**4 + r*h + g*h**3 and give g. 0 Rearrange (-2 + 13*u + 2 - 2*u)*(-132*u**2 - 23*u**2 + 50*u**2) to y + o*u + m*u**3 + z*u**2 and give m. -1155 Express 19*m + 51 - 23 - 31 + 82*m**3 - 86*m**3 + 14*m in the form a*m + k*m**3 + w*m**2 + s and give s. -3 Rearrange (1055 + 882 - 2160)*(-5 + 2 + 1)*(-4*q + 1 + 2 - 2) to the form l + k*q and give k. -1784 Rearrange 272*a**3 + 3 + 898*a**2 - 900*a**2 - 3 + 9*a**3 to b*a**2 + k*a**3 + j + q*a and give k. 281 Rearrange 138*c - 54*c - 31*c + 216*c to h*c + t and give h. 269 Rearrange -12*t**3 + 11*t - 5388*t**2 + 5388*t**2 - 7*t to f*t + z*t**2 + b*t**3 + c and give b. -12 Rearrange 537*d - 6136 + 3067 + 3071 to the form x + h*d and give x. 2 Rearrange (2*k - 8*k + k)*(4 - 11 + 3)*(2 + 3 - 7) to h*k + i and give h. -40 Express -283*v**3 + 285*v**3 + 8*v**2 + 3*v**2 - 6 - 11*v**2 + 25*v in the form j*v + h + m*v**2 + l*v**3 and give l. 2 Rearrange (3*z**3 - z**3 + 0*z**3)*(22 + 172 + 25)*(6 - 5 + 5) to the form w*z**3 + g*z**2 + q + s*z and give w. 2628 Rearrange -71*x + 27*x + 96 + 43*x to g + a*x and give a. -1 Express (-3*w**3 - 3*w**3 + 3*w**3)*(-2 - 1 + 7)*(-1 + 4 - 2)*(-225*w - 126*w + 29*w) in the form z*w**3 + m*w**2 + v*w + q + k*w**4 and give k
{ "pile_set_name": "DM Mathematics" }
). -90*r**3 + r**2 - r - 2 Let a(r) = r**3 - 3*r**2 + 9*r + 1. Let o(v) = v**3 - 7*v**2 + 21*v + 1. Determine 7*a(p) - 3*o(p). 4*p**3 + 4 Let o(d) = -d**2 + d. Let x(j) = 6*j**2. Let n(u) = 40*u + 281. Let z be n(-7). Give z*x(s) + 5*o(s). s**2 + 5*s Let g(b) = 27*b**2 + 554*b - 1. Let d(q) = 33*q**2 + 552*q - 1. Give -4*d(s) + 5*g(s). 3*s**2 + 562*s - 1 Suppose -144 = -5*u - 2*i, -u = -10*i + 5*i - 18. Let t(m) = 2 - m**2 - m**3 - u + 25. Let f(s) = 6*s**3 + 7*s**2 - 5*s + 7. Determine -2*f(g) - 14*t(g). 2*g**3 + 10*g Let d be (-249)/(-415) - (-4)/10. Let b(v) be the second derivative of 0*v**3 - 7*v - v**2 + 0 - 1/12*v**4. Let t(w) = w**3 - w**2 + 1. Determine d*t(j) - b(j). j**3 + 3 Let q(b) = -b**2 + b. Let w(o) = -3*o**2 + 5*o - 11. Let a be ((-23)/(-46))/((1/7)/(22/77)). Determine a*w(m) - 4*q(m). m**2 + m - 11 Let y(u) = u**3 - u**2 - u + 4. Let t(s) = -s**3 + 1389*s**2 + s - 13. Calculate -t(a) - 3*y(a). -2*a**3 - 1386*a**2 + 2*a + 1 Let d(m) = 4*m**2 - 8. Let q(y) = -3*y**2 + y + 6. Let r(w) = -2*d(w) - 3*q(w). Let b(j) = j**2 - 4*j - 2. Suppose -20 = -15*n + 20*n. Give n*r(k) + 3*b(k). -k**2 + 2 Let r(t) be the second derivative of t**4/12 + t**3 - 2*t. Let l(v) be the first derivative of 0*v + 7/2*v**2 + 1/3*v**3 + 204. Give 5*l(k) - 6*r(k). -k**2 - k Let q(b) = 263950066*b**3 + 430364*b**2 - 107591*b - 107591. Let j(c) = -9813*c**3 - 16*c**2 + 4*c + 4. Give 107591*j(o) + 4*q(o). 9781*o**3 Suppose -2*u = 1 - 5. Let y(k) = 70*k - 2*k**u - k**2 - 147*k + 77*k. Let p(l) = -10*l**2. Determine 6*p(v) - 17*y(v). -9*v**2 Let i(v) = -2*v**3 + 4*v**2 - 18*v + 14. Let s be i(1). Let n(d) = d**3 + 12*d**2. Let c(q) = -q**3 - 12*q**2. What is s*n(w) - 3*c(w)? w**3 + 12*w**2 Let f(a) = -a - 4. Let w(p) be the second derivative of -p**3/6 - 64*p**2 - 124*p. Let v(s) be the first derivative of w(s). Determine -f(d) + 2*v(d). d + 2 Let l(d) = -20*d**3 - 3*d**2 - 3. Let t(u) be the third derivative of 207*u**6/40 + 23*u**5/15 + 46*u**3/3 + 456*u**2. What is -92*l(x) - 3*t(x)? -23*x**3 Suppose 43*v - 4 = 47*v. Let z(f) be the second derivative of f**3/6 + f**2/2 + 2*f. Suppose 5*s - 8*s - 9 = 0. Let w(b) = -b - 1. What is s*z(d) + v*w(d)? -2*d - 2 Let n(r) = -4*r**3 + 2*r**2 - 2*r. Let w(b) = 31*b**2 + 12*b - 19. Let a(j) = 88*j**2 + 34*j - 54. Let y(x) = -6*a(x) + 17*w(x). What is -n(v) - y(v)? 4*v**3 - v**2 + 2*v - 1 Let u(a) = 12589*a - 25177. Let r be u(2). Let c(j) = -3*j**2 + 5*j + 5*j**2 + 0*j**2 + 5. Let z(x) = -x - 1. Determine r*c(y) + 5*z(y). 2*y**2 Let x(s) = 219*s - 46 + 45 - 218*s. Let j(t) = 5*t + 8. Let r(o) = 3*o + 4. Let u(f) = 6*j(f) - 11*r(f). Calculate u(a) + 4*x(a). a Let l(n) = 3075*n**2 + 100*n - 50. Let d(g) = -181*g**2 - 6*g + 3. Calculate -50*d(y) - 3*l(y). -175*y**2 Let a(z) be the third derivative of -z**4/12 - 5*z**3/3 + 44*z**2 - z. Let k(r) be the first derivative of r - 1. Calculate -a(s) - 5*k(s). 2*s + 5 Let s(z) = 2*z**2 - z. Let y(r) = 70*r**2 - 34*r. Determine 204*s(l) - 6*y(l). -12*l**2 Let p(i) = 1. Let n(l) = 672*l - 2 + 570*l - 4 - 1201*l. Calculate -n(o) - 6*p(o). -41*o Let u(f) be the third derivative of -f**4/12 + 5*f**3/6 - 5*f**2. Let d(a) = -16 - 13 + 37 + 3*a - 14 + 0*a. Determine -4*d(m) - 5*u(m). -2*m - 1 Let l(g) = 147*g**2 - 3*g - 65. Let y(z) = 137*z**2 - 2*z - 64. Give 4*l(h) - 5*y(h). -97*h**2 - 2*h + 60 Let q(x) = -x - 5. Let s be q(-11). Let v(k) = 863*k**2 + k + 4. Let p be v(2). Let l(r) = -3454 + p + 3*r + 0*r. Let u(i) = -3*i - 5. Give s*l(y) + 5*u(y). 3*y - 1 Let v = -14389 - -14390. Let b(q) = -3*q**3 + q**3 - 2 + 3*q**3 + 1. Let n(s) = -15*s**3 + 12. Determine v*n(d) + 12*b(d). -3*d**3 Let u(a) = 8*a**3 - 4*a + 6. Suppose -225 + 87 = 23*z. Let n(x) = 23*x**3 - 11*x + 17. What is z*n(g) + 17*u(g)? -2*g**3 - 2*g Let j(u) = -22*u**2 + 25*u + 66. Let c(z) = z**2 + 8*z - 1. What is 3*c(v) - j(v)? 25*v**2 - v - 69 Let o(q) = 43 + 37 - 9*q - 74 + 0*q. Let r(n) = -26*n + 17. Let v be 6*(0/(-1) - 1). Determine v*r(u) + 17*o(u). 3*u Let x(g) = g + 3. Let c(o) = 5*o**3 - 5*o**2 + 7*o + 18. Calculate c(d) - 5*x(d). 5*d**3 - 5*d**2 + 2*d + 3 Let n(w) = 28*w + 24. Let k(d) = 61*d + 48. What is -3*k(r) + 7*n(r)? 13*r + 24 Let z(d) = -61*d**2 - 302*d - 10. Let o(r) = 7*r**2 - r + 1. What is -9*o(n) - z(n)? -2*n**2 + 311*n + 1 Let j(c) = -c**2 + 3*c - 1. Let v(s) = -3*s + 0*s + s**2 + 2*s. Let r be (8/(-22))/((-28)/154). Let y be r*(-7)/28*(2 + 0). Give y*j(z) - 3*v(z). -2*z**2 + 1 Let q(m) = -107 + 110 + 136*m - 140*m. Let x(v) = -v**2 - 3*v + 2. Calculate -2*q(y) + 3*x(y). -3*y**2 - y Let v(z) = 1898*z + 1168. Let m(f) = -6*f - 4. What is -292*m(d) - v(d)? -146*d Let i(h) = 6*h**3 + 3*h**2 - h. Let a(y) be the second derivative of -1/20*y**5 + 1/6*y**3 - 12*y + 0*y**2 - 1/12*y**4 - 3. Give -a(x) - i(x). -5*x**3 - 2*x**2 Let s = -7649 - -7653. Let v(r) = -10*r**3 + 4*r**2 - 4*r - 4. Let l(z) = 10*z**3 - 3*z**2 + 3*z + 3. Calculate s*l(x) + 3*v(x). 10*x**3 Let v(w) = -5*w - 3. Let o(b) = -15*b - 9. Let q(h) = -6*o(h) + 17*v(h). Let g = -11 + 18. Let r(a) = 2*a + g - 6 + 2*a + 1. What is 5*q(f) - 6*r(f)? f + 3 Let x(m) = 18*m**3 + 3*m - 2. Let c(a) = -1 + 37*a - 3 - 20*a - 9*a + 54*a**3 - 1. Determine -3*c(t) + 8*x(t). -18*t**3 - 1 Let h(z) = -4*z**2 + 4*z - 14. Suppose 5*i = 3*d + 21, -2*d - 12 = -13*i + 10*i. Let b(j) = 11*j**2 - 11*j + 42. What is d*b(o) + 8*h(o)? o**2 - o + 14 Let m be 18*(-7)/4*(-6)/21. Suppose 3*q + m = 24. Let k(g) = g. Let r(x) = 5*x - 2. Let h(j) = -17*j + 7. Let w(s) = -2*h(s) - 7*r(s). Calculate q*w(t) + k(t). -4*t Let z = 343 - 342. Let r(b) = -4*b + 6 - 1 - 10 + 8 + z. Let x(l) = 4*l - 5. Calculate -3*r(j) - 2*x(j). 4*j - 2 Let x(z) = 10*z**3 + 2*z + 1. Suppose 241 - 245 = -a. Let m(r) = r**3 - a*r**3 + 34 - r + 29 - 64 + 2*r**3. Determine -m(d) - x(d). -9*d**3 - d Let v(p) = p - 1. Let f(h) = -2485*h**2 + 6*h - 8. What is -f(c) + 8*v(c)? 2485*c**2 + 2*c Let k(v) = 272*v + 51. Let h = -3612 - -3561. Let d(n) = -21*n - 4. Give h*d(b) - 4*k(b). -17*b Let v(w) = -19*w**2 - 4*w - 170. Let o(n) = -255*n**2 - 54*n - 2211. Determine -2*o(j) + 27*v(j). -3*j**2 - 168 Let r(u) = -u - 1. Let p(b) = 8 + 7 - 12 - 3 + 3. Let f(v) = 1. Let o = 8 + -6. Let a(n) = o*f(n) - p(n). Give -3*a(h) + r(h). -h + 2 Let s(r) = 7*r**2 - 2*r. Let v(n) = 29*n**2 - 7*n - 1. Let g(q) = 2*q**3 - 71*q**2 + 31*q + 142. Let t be g(35). Determine t*v(x) - 9*s(x). -5*x**2 + 4*x - 2 Let f(h) = -284*h + 1. Let l(n) = 705*n - 3. Let c(m) = 5*f(m) + 2*l(m). Let w(z) = 11*z + 1. Give -4*c(a) - 3*w(a). 7*a + 1 Let t(l) = 4*l**3 - 7*l. Let n(j) = 104*j - 405*j + 106*j - 3*j**3 + 203*j. What is -4*n(a) - 5*t(a)? -8*a**3 + 3*a Let f(r) = 12*r. Let m(z) = 3*z**2 + 60*z - 2. Let c be m(-20). Let v be (1 + 11)*(-28)/12. Let w(o) = -o. What is c*f(t) + v*w(t)? 4*t Let x(f) = -261*f + 4. Let z(l) = 780*l - 12. Calculate -16*x(b) - 5*z(b). 276*b - 4 Let y(f) = -2*f**3 - 3*f**2 + 3*f - 3. Let t be (45/25)/(((-21)/(-525))/(2/30)). Let v(p) = 3*p**3 + 4*p**2 - 4*p + 4. What is t*v(s) + 4*y(s)? s**3 Let l(d) = d**3 + 2*d**2 - 1. Let s(v) = -23*v**3 - 7*v**2 - 2*v + 2. Calculate -2*l(n) - s(n). 21*n**3 + 3*n**2 + 2*n Let k(f) = 5*f - 3. Let i(w) be the second derivative of 5*w**3/2 - 4*w**2 - 31*w + 61. Give -4*i(y) + 11*k(y). -5*y - 1 Suppose -5*t + 29 = 4*o, -2*t = 3*t - 3*o - 57. Suppose -t*l = l + 60. Let x(p) = 7*p + 13. Let r(a) = 4*a + 7. Calculate l*x(f) + 11*r(f). 2*f - 1 Let n(h) = 0*h + 6 - 5*h + 3*h. Let v(g) = g - 3. Suppose 0 = -977*u + 984*u - 266. Suppose -u*q + 3 = -73. Calculate q*n(x) + 5*v(x). x - 3 Let g be (0 + 8)*567/(-504). Let b(a) = 27*a**3 - 4*a**2 + 4. Let h(m) = -55*m**3 + 9*m**2 - 9. What is g*b(c) - 4*h(c)? -23*c**3 Let m(w) = 111*w**2 + 4*w + 6. Let z(o) = 333*o**2 + 11*o + 18. What is -17*m(n) + 6*z(n)? 111*n**2 - 2*n + 6 Let f = 83290 - 83291. Suppose 7 + 5 = 2*v. Let o(i) = 9*i**3 + 6*i**2 - 6. Let m(l) = l**3 + l**2 - 1. What is f*o(x) + v*m(x)? -3*x**3 Let n(s) = -207*s**3 - 270*s**2 - 135*s - 135. Let o(g) = -g**3 - 2*g**2 - g - 1. Determine -4*n(c) + 540*o(c). 288*c**3 Let t = -15 - -9. Let o(d) = 3*d. Let l(y) = -25*y. Let w be 104/(-3)*27/(-12) + 3. Suppose -w - 480 = 11*c. Determine c*o(h) + t*l(h). -3*h Let n(f) = -19*f**2 + 63*f - 4. Let p(k) = 9*k**2 - 28*k + 2. Calculate -2*n(o) -
{ "pile_set_name": "DM Mathematics" }
m(d) = -d**3 + 6*d**2 - 23*d - 18. Let n be m(8). Let r be (1 + -6433)*4/(-78). Let f = n + r. Which is the biggest value? (a) 4 (b) 0.1 (c) f a Suppose -3*y = -5*y - 2. Let n = y - -7. Which is the smallest value? (a) -3 (b) n (c) 2 a Let l = -131.31 - -132. Let v = l - -8.51. Let t = v - 9. What is the second smallest value in t, 0, -1/10? 0 Let f be 16/44*583/(-106). Let h = 0.2 + -0.4. What is the biggest value in -1/3, f, h? h Let x be 4/16 - 1482/(-24). Let s be x/14 + (-2 - 2). What is the second smallest value in s, -2, 0? 0 Let f(i) = 5*i - 30. Let t be f(7). Let v = 562 + -550. Which is the third biggest value? (a) -5 (b) v (c) -4 (d) t c Let q be 329/(-224)*-4 + 1/8. Let s = -0.01 + 0.31. Which is the smallest value? (a) q (b) s (c) -5/4 c Suppose 0 = -6*n - 56 + 248. Suppose -n*w + 25*w = -7. Which is the smallest value? (a) w (b) -4 (c) -1 b Let i = -690 + 748. Which is the third smallest value? (a) -4 (b) 1/6 (c) i c Let s = 67 + -64. Let x = -121.5 + 122. Which is the second biggest value? (a) s (b) -1 (c) x c Let v = -609 + 3655/6. What is the second smallest value in v, 1, -51? v Let v = 15 + -16. Let k = -0.85 - v. Let m = k - 0.35. Which is the biggest value? (a) 2 (b) m (c) 10 c Let t = 63/2 - 32. Which is the third smallest value? (a) 3/31 (b) -3 (c) t a Let i be 2/(-6) + 7/3. Suppose d + 4 = 0, -i*f - 13 = -3*d + 223. Let l be (-12)/9 - f/84. Which is the biggest value? (a) -3/7 (b) -5 (c) l c Suppose -2333*h = -2334*h + 6. What is the second smallest value in 2/9, 2/13, 19, h? 2/9 Let f = 0.8 + -1. Let p = -1.2 - f. Let v(o) = -10*o + 41. Let k be v(4). Which is the biggest value? (a) p (b) k (c) -5 b Let s = -1.4 - -57.4. Let b = -38/9 + 239/63. What is the third biggest value in b, s, 2? b Let y = -580 + 585. What is the biggest value in 0.2, y, 152? 152 Let x = 52.5 - 52. Which is the smallest value? (a) 5 (b) x (c) 2/17 (d) 2.5 c Let l = 0.125 + -47.125. Let m = l - -48. Which is the fourth smallest value? (a) m (b) 0 (c) -24 (d) -3/2 a Let v = 416 + -423. Which is the third biggest value? (a) -1 (b) 5 (c) v c Let h(d) = -3*d - 30. Let g be h(0). Let t = 30 + g. What is the third biggest value in -1, -0.5, t? -1 Let b = -33 + 33.19. Let d = 57.6 + -61.79. Let p = d + b. What is the second smallest value in 1/6, p, -0.4? -0.4 Let o be 2*-1 + 1 + 4. Let z be 132/(-22)*1/2. Which is the second smallest value? (a) -0.1 (b) o (c) -2/5 (d) z c Let w = 0.4 + -0.9. Let g = -59.3 + 63. Let n = 3.71 - g. What is the third smallest value in -5, w, n? n Let x = 3.37 - 0.37. Let h = -0.2 - -1.2. Which is the second biggest value? (a) -0.1 (b) x (c) h c Let i = -2.092 + 1.592. Let d = -1090/7 - -156. Which is the third biggest value? (a) 3 (b) i (c) d b Let p = 47.5 + -48. Let c = 3.3 - -0.7. What is the third smallest value in 1/4, c, p, 1? 1 Let r = 5.07 + -5. Let d = r - 0.22. Let g = d + -4.85. What is the smallest value in g, -2/13, 6? g Let g be ((-1)/1)/(11/2). Let p = -1159 + 2319/2. Which is the third smallest value? (a) g (b) -4/3 (c) p c Let g = 457 + -457. Suppose 2*r + q = 3, 2*q + 11 = 3*r + 3. Suppose g = r*j - 2 + 12. Which is the smallest value? (a) 2/11 (b) j (c) -0.3 b Let g(a) = -8*a - 17. Let c be g(-2). What is the second smallest value in 1, -55/4, c? c Let i be ((-248)/(-8))/(3/6). What is the biggest value in i, -3, 4/7, -2? i Suppose -31*s + 3*k - 34 = -26*s, -3*s = 4*k + 3. Let v = 177/1072 - -3/134. Which is the biggest value? (a) s (b) v (c) -2 b Suppose 0 = -3*k + 19*k - 48. Let y be (0 + 1 + -6)*-1. Which is the fourth biggest value? (a) -4 (b) y (c) k (d) -3/4 a Let h = -16.5 + 17. What is the smallest value in 2/9, h, -1, -3? -3 Let b = 22/15 - -2/15. Let u = -250.5 - -251. What is the second biggest value in -1/3, b, u? u Suppose -5*o - 5 = -15. What is the third smallest value in -1, 1, o, -4? 1 Let j = -89 + 59. Let f = j - -27.2. Let u = -2.8 - f. Which is the second smallest value? (a) 2/13 (b) u (c) -2 b Suppose -4*v - 5*d = -662, -5*v + 846 = d - 4*d. Let x = 35929/4 + -54901/6. Let o = x + v. What is the second smallest value in o, 1/5, -3? o Let q = 217 + -225. What is the third biggest value in 5, 0.2, q? q Let h be (-1)/(0 + -1 + 0). Which is the third biggest value? (a) 0.4 (b) h (c) 2 (d) 0.1 a Suppose -19*n + 63 - 6 = 0. Let l = 0.2 - 0.18. Which is the second biggest value? (a) 4 (b) n (c) l b Let h = -395/18 - -133/6. Let o = -3135524/16715 + -42/3343. Let s = 187 + o. What is the biggest value in 1, s, h? 1 Let y be ((-14472951)/(-12))/(30/8). Let o = y + -321473. Let g = -148 + o. What is the third biggest value in g, -0.2, 6? -0.2 Let o = 0.122 - 0.522. Let w = 7/55 - -3/11. Which is the second biggest value? (a) -5 (b) o (c) w b Let o = 4978/3 + -1660. What is the second smallest value in o, 3/7, -0.1? -0.1 Let d = 1.696 + -5.696. What is the biggest value in d, 2/955, -2/13? 2/955 Let s be 75/105*14/4. Let a = -3 - -3.05. Let c = -0.35 - a. What is the third biggest value in s, c, 2/13? c Suppose 21 = -3*x - 4*u, -5*u = -9*u - 12. What is the second smallest value in x, 2, -0.79, 1? -0.79 Let f = 0.066 - 40.066. Let p = f - -40. Which is the third biggest value? (a) -2/7 (b) 3/7 (c) p a Let j = 11.1 + 0.9. Let v = j - 4. Let u = -11 + v. Which is the smallest value? (a) 0 (b) u (c) -4 c Let s = -75 - -67.8. Let f = -3.2 - s. Which is the second smallest value? (a) f (b) 4/7 (c) 0.5 b Let r be (42/364)/((-6)/8). Which is the biggest value? (a) 2/7 (b) r (c) 2.1 c Let w = -2 + 1.8. Let r = -0.156 - -0.156. Which is the second biggest value? (a) -5 (b) r (c) w c Suppose 9*v = -3*g + 5*v - 65, -5*v - 48 = 2*g. Which is the biggest value? (a) -1 (b) g (c) 5 (d) 0 c Let i = 4.5 + -1.7. Let s = i + -3.2. What is the third biggest value in s, 2, -5? -5 Let h = 0.45 + -0.15. Which is the smallest value? (a) h (b) 3 (c) 0.1 (d) 2/3 c Let q = -2.9 + -6.6. Let n = q - -9. Let o = -1.46 + 1.16. What is the smallest value in -3/7, o, n? n Let c be (66/(-12))/(4/8). Let d = -15 - -21. Let k = d + c. What is the third smallest value in k, -2/13, -1? -2/13 Let x = 340/3 + -3062/27. What is the second biggest value in -2, x, 1/12? x Let r(o) = 11*o + 444. Let w be r(-40). Which is the smallest value? (a) 60 (b) w (c) 2/5 c Let o be (39/(-78))/((66/(-4))/(-3)). Which is the smallest value? (a) 0.5 (b) -1 (c) o b Let k = 0.25 - -17.75. Let b = 9 - k. What is the biggest value in -5, -4, b? -4 Let j(y) = y + 2. Let x be j(3). Let i be (-4)/(-48)*8/x. Suppose -10*k = -59 + 19. Which is the biggest value? (a) k (b) i (c) -3 a Let y be (-72)/(-5) + (-8)/(-20)*-1. Let c be (10/(-35))/((-6)/y). Let j = 13 - 10. What is the third biggest value in j, -1, c? -1 Let t = 1088/5863 + -2/533. Which is the third smallest value? (a) t (b) 0.4 (c) 4 (d) -2/55 b Let a(r) = 5*r**2 - 37*r - 25. Let u be a(8). What is the third biggest value in -1/2, 1.2, 0.01, u? -1/2 Let m(k) = 4*k + 4. Let z = 3 - 1. Let h be m(z). Which is the second biggest value? (a) -0.5 (b) h (c) 1 c Let m = -2 - -8/7. Let z = -67/21 - m. Which is the third biggest value? (a) 0 (b) z (c) 5 b Let k be 6/(-4)*24/(-9). Let c be 4/(-30) + ((-4888)/60)/(-26). What is the third smallest value in k, -1/6, 4/3, c? c Let z = -71/21 - -11/3. Let r = -3.2 + 5.2. What is the fourth smallest value in -5/6, r, z, 0.2? r Let g = 156 - 784/5. Let k = -5830 - -5825. Which is the fourth biggest value? (a) k (b) g (c) 2 (d) -2 a Let g be -3*(-2)/(-10) - 42/(-90). Let j = -16.68 - 0.32. Which is the second biggest value? (a) g (b) -2 (c) j b Let o = -36 + 67. Let n = -0.383 - 31.017. Let r = n + o. Which is the second smallest value? (a) 2/3 (b) r (c) 0.1 c Let z = -7004/9 - -778. Which is the smallest value? (a) z (b) -80 (c) -1 b Suppose g - 70 = 5*l, 3*g + 5*l - 125 = 3*l. Suppose 2*t = -t - g. Let n = -2 - t. Which is the smallest value? (a) 3/5 (b) -0.3 (c) n b Let u = 226 - 226. Let p be 2 - 3 - (-2 + 0). What is the fourth biggest value in 0.5, u, 3/2, p? u Let k = -25 + 39. Let c = -16 + k. What is the smallest value in -1/3, c, 4, 5? c Let h = 25 - 21.8. Let y = h + -16.2. Which is the third smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
28 + 1*-1. Calculate the greatest common factor of 22 and h. 11 Suppose 0 = 3*p + p. Suppose p = -4*v - 4 + 36. Let c = -5 + v. Calculate the highest common divisor of 1 and c. 1 Let s(w) = w**2 + 8*w - 38. Let v be s(-12). Let q(y) = -3*y - 5. Let l be q(-5). What is the highest common factor of v and l? 10 Let o be (-1)/(-2) - 9/(-6). Suppose 9 = 3*k - 3*t, -k + 2*t = -2 - o. What is the greatest common divisor of 18 and k? 2 Suppose 5*u - 6 = -1. Let p(x) = 15*x - 6. Let t be p(1). What is the greatest common factor of t and u? 1 Let w(d) = d**2 - 7*d + 4. Let g be w(8). What is the greatest common factor of g and 36? 12 Let t = 597 - 217. Let j = -7 + 13. Suppose j*k = k + t. Calculate the greatest common divisor of k and 19. 19 Let v(g) = -2*g - 1. Let k be v(-3). Let b = 102 + -47. What is the highest common factor of k and b? 5 Let y be 2/((20/6)/5). Suppose 3*z = -3*x + 30, -z - 4*z = y*x - 38. Suppose x*j - 128 = 2*j. What is the highest common divisor of j and 16? 16 Let w be 2/(-4)*(22 - 20)*-19. What is the greatest common divisor of 1 and w? 1 Suppose g + 2*l + 5 = -2*l, 3*g = 4*l + 65. Let m be (10/g)/(4/54). What is the greatest common divisor of m and 63? 9 Let b(r) = r**3 - 10*r**2 + 19*r - 10. Let m be b(8). Calculate the greatest common divisor of 28 and m. 14 Let l(n) be the third derivative of -n**5/60 - 11*n**4/24 + 4*n**3/3 + 2*n**2. Let s be l(-7). Calculate the highest common factor of 12 and s. 12 Let p(z) = -2*z**3 + 68*z**2 + 66*z + 152. Let l be p(35). Let j be (-48)/(-1) - 0/2. Calculate the highest common factor of j and l. 12 Suppose 0 = -8*x + 774 - 270. Calculate the greatest common divisor of x and 105. 21 Let l be 2/(-3)*(-60)/2. Let s be (-170)/2*(-4)/10. Suppose -5*p - s = -2*y + l, 2*y + p - 42 = 0. What is the highest common factor of 11 and y? 11 Let g(a) = a**2 - 7*a + 5. Let x be g(5). Let f be x/((-15)/6) - -3. Suppose -f*m + m = -336. What is the highest common divisor of m and 12? 12 Let z = -12 + 58. What is the greatest common factor of z and 23? 23 Suppose 4*z = -n + 6, 5*n - 4*z + 18 + 48 = 0. Let j be (16/6)/(n/(-330)). Calculate the greatest common divisor of 11 and j. 11 Let j = -675 - -1081. Let t = j + 123. Suppose -3*v - p = -t + 6, 0 = -p - 5. What is the greatest common divisor of v and 22? 22 Let q = 162 + -52. What is the highest common factor of 66 and q? 22 Let c be 2 + 20 + 8/(-4). Suppose -3*w + c = -4. Calculate the highest common divisor of w and 8. 8 Let t = -72 - -129. Let h = -40 + t. Calculate the highest common divisor of h and 119. 17 Let k = -18 - -35. Suppose 2 = 2*d - 3*m, -4*d + 6*d - 2 = -3*m. Let x = k + d. Calculate the highest common factor of 18 and x. 18 Let w = 38 + -26. What is the greatest common divisor of 12 and w? 12 Suppose 0*m = -m + 94. Let v be (-2)/(-3 + m/32). Suppose 16 + v = 3*c. What is the highest common divisor of c and 4? 4 Suppose 2*d + 1 = 13. Let f = -10 + 14. Calculate the greatest common divisor of d and f. 2 Suppose 240 = p + p. Let a = -60 - -84. Calculate the greatest common factor of p and a. 24 Suppose 3*q - 129 = -y, 3*q - 144 = 3*y + y. What is the highest common factor of q and 66? 22 Let k = 1 + -5. Let c be -6*((-28)/k)/(-1). What is the greatest common divisor of 6 and c? 6 Suppose 3*h - 108 = -h. Let c = 35 + -17. Calculate the greatest common divisor of h and c. 9 Let u = 36 + -14. Let p be (-2)/(-6) + 294/9. What is the highest common divisor of p and u? 11 Let j(n) = -n + n - n - 5 + 9*n**2 + n**3. Let b be j(-9). Suppose -19 + 59 = 4*i. Calculate the highest common divisor of b and i. 2 Suppose -z - 334 = -5*m + 3*z, 2*m = -z + 131. What is the greatest common factor of 22 and m? 22 Let m be (-20)/(-4)*4/10. Let p be -3 + m + (-2)/1. Let g(f) = -3*f + 3. Let r be g(p). Calculate the greatest common factor of 30 and r. 6 Let k(p) = -p**3 - 3*p**2 - 4*p + 1. Let d be k(-3). What is the greatest common divisor of d and 26? 13 Suppose -f - 3*i = -8, 3*f = i - 0*i + 14. Suppose -3*s + 3*a + 162 = 0, s - 115 = -s - f*a. Calculate the greatest common factor of 22 and s. 11 Suppose -2 - 76 = -2*p. What is the greatest common divisor of p and 39? 39 Let u = -60 - -96. Calculate the highest common divisor of u and 36. 36 Let k = 93 + -75. Calculate the greatest common divisor of 45 and k. 9 Let m(v) = 6*v + 7. Let y be m(3). Calculate the highest common factor of 75 and y. 25 Let h = -9 - 20. Let f = -21 - h. What is the greatest common divisor of f and 32? 8 Suppose 5*s = 4*q + 53 - 3, 2*s + 3*q + 3 = 0. Suppose -3*n + 6 = -2*n. What is the greatest common factor of n and s? 6 Suppose 0 = -o + 6*o - 20. Let t be ((-4)/6)/(o/(-12)). Suppose t*j = -j + 72. What is the greatest common divisor of 168 and j? 24 Let a = -171 + 315. What is the highest common factor of 12 and a? 12 Let c be (-1)/3 - (-2)/6. Suppose 5*v - 46 - 174 = c. What is the highest common factor of v and 11? 11 Suppose u = 5*u - 84. Calculate the greatest common divisor of u and 21. 21 Let h be 51/(5*(-3)/(-10)). What is the highest common divisor of 136 and h? 34 Let q = -75 - -131. Suppose -4*r - 3*z = -14, 0*r = -r - z + 4. Suppose -5 = -r*x + 11. What is the greatest common factor of q and x? 8 Let j be (108/(-8))/(3/(-4)). Let v be -2 + 29*(-1 + 2). Calculate the highest common factor of v and j. 9 Let v(m) = -4*m - 3. Let s be v(3). Let i be s/10*(-44)/6. Suppose 4*z - i = 5. Calculate the highest common factor of 12 and z. 4 Let r = -23 + 41. Suppose -4*s + 42 + r = 0. Suppose 0 = 4*o + 4*q - 520, -3*o + 0*o + q + 410 = 0. What is the highest common divisor of s and o? 15 Let a(o) = o - 3 - 2 + 0*o - 1. Let k be (-158)/(-18) + (-6)/(-27). Let z be a(k). Calculate the highest common divisor of 24 and z. 3 Suppose 0 = -3*g + 4*d + 158, d = 3*g - g - 102. Suppose -g = -4*i + 30. Calculate the highest common factor of i and 5. 5 Suppose -136 = -4*v + 280. Suppose t = 5*z - 0*z + v, -4*t + 416 = -z. Calculate the highest common divisor of 13 and t. 13 Let i(j) = -7*j**2 + 4*j**3 - 3*j**3 + j + 2*j**2. Let s be i(5). Let q be 838/4 - s/10. What is the greatest common divisor of 19 and q? 19 Let q(s) = 5*s + 55. Let m be q(12). Suppose 3*z = -2*z + 115. What is the highest common factor of m and z? 23 Let n(h) = h + 27. Let k be n(-10). Calculate the highest common divisor of 17 and k. 17 Let u(g) = g**3 - 8*g**2 - 11*g + 9. Let f be u(9). Let l = 23 + f. Calculate the greatest common divisor of 21 and l. 7 Let k(c) = -c**2 - 5*c + 9. Let d be k(-6). Let m = 3 + -1. Suppose m*p = 5*f + 66, 2*p + f - 66 = 2*f. Calculate the highest common factor of p and d. 3 Suppose -5*h - 25 = 0, -3*b - 2*h - 26 = -5*b. Let g be 1/(-4) + 554/b. What is the greatest common divisor of g and 46? 23 Let f(c) = 2*c - 9. Let q be f(6). Let y(n) = n**2 + 11*n - 10. Let h be y(-12). What is the greatest common divisor of q and h? 1 Suppose 4*u - 274 = -3*s, 4*u - u - 5*s = 220. Suppose u = 5*c - 10. Calculate the greatest common factor of c and 32. 16 Let q(b) = b**3 + 6*b**2 - 9*b - 3. Let y = 0 + -6. Let g be q(y). Calculate the greatest common factor of 34 and g. 17 Let z be 82/24*2 + 8/48. Calculate the greatest common factor of z and 49. 7 Suppose -4*d - 1 = -4*n + 3, -4*n - 1 = -5*d. Let h(p) = p**3 - 6*p**2 + 2*p - 8. Let m be h(n). Calculate the greatest common factor of 28 and m. 4 Suppose -4*g - 157 = -49. Let i = g + 39. Calculate the highest common divisor of i and 12. 12 Let x(o) = o**2 + 3*o + 2. Let a be x(-5). Suppose 23*r - 24*r = -96. Calculate the highest common factor of a and r. 12 Let i(x) = 3*x**2 + 4*x - 5. Let y be i(2). What is the greatest common divisor of y and 6? 3 Suppose -3*x = 3*n - 59 - 19, 4*x = -2*n + 100. Suppose -2*c = -5*c + 33. Suppose -g = -5 - c. What is the highest common factor of x and g? 8 Let w(a) = a**2 - 5*a - 8. Let n be w(13). What is the greatest common divisor of 12 and n? 12 Suppose -5 = 5*f - 35. What is the greatest common divisor of f and 6? 6 Let y = 9 - 6. Suppose 0 = 3*g - 2*v - 34, -7 = 2*g + 4*v - y. Calculate the highest common factor of g and 8. 8 Let n(y) = -y**3 - y**2 + y + 1. Let m be n(2). Let v be (-68)/(-5) - (-2)/5. Let k = m + v. What is the greatest common divisor of k and 10? 5 Suppose 3*i - 3*v = 24, 3*i + 0*v -
{ "pile_set_name": "DM Mathematics" }
486*g**2 - 3*g**3 + 1428*g**2 - 465*g**2. -3*g**3 Collect the terms in 2*a**2 - 18*a + 16*a**2 + 5*a**3 + 9*a**3 + 10*a**3 - 8*a**3. 16*a**3 + 18*a**2 - 18*a Collect the terms in -73243*g**2 + 11*g - 11*g + 75654*g**2. 2411*g**2 Collect the terms in -25*i - 81*i + 0 - 3 - 17*i + 143*i - 13*i - 9*i. -2*i - 3 Collect the terms in f**2 + 96301635 - 96301635 + 116*f**3. 116*f**3 + f**2 Collect the terms in -t - 2*t + 3*t - 126*t**3 + 0*t + 147*t**3 + 0*t. 21*t**3 Collect the terms in 10486*j - 3493*j - 3501*j - 3494*j - 8605. -2*j - 8605 Collect the terms in 683483 + 683461 - 1366940 + u. u + 4 Collect the terms in 305*h**3 + 83987 - 41986 - 42001 - 714*h**3. -409*h**3 Collect the terms in -7*a**2 - 706552*a + 2*a**3 + 7*a**2 - 4*a**3. -2*a**3 - 706552*a Collect the terms in -6989 - 8300 + 4471 - 62*r - 10775 + 61*r. -r - 21593 Collect the terms in 216*u - 109*u + 1810 - 103*u. 4*u + 1810 Collect the terms in 7356692*k**2 + 4492*k - 4492*k - 7357312*k**2. -620*k**2 Collect the terms in 23513 + 0*f**3 + 0*f**3 - 7063 - f**3. -f**3 + 16450 Collect the terms in -31*x - 15*x**2 - 3*x**2 + 57*x**2 + x. 39*x**2 - 30*x Collect the terms in -12330324035*r**2 + 12330324088*r**2 + 4 - 4. 53*r**2 Collect the terms in -19*f - 16013 - 40010 + 0*f. -19*f - 56023 Collect the terms in 3*f**3 - 70 - 50 + 21*f + 155 - 4*f**3 - 60. -f**3 + 21*f - 25 Collect the terms in -7*p - 10*p - 26*p - 13*p + 54*p + 4. -2*p + 4 Collect the terms in 22*g**3 - 7*g**2 + 68*g**3 + 0*g**2 - 136*g**3. -46*g**3 - 7*g**2 Collect the terms in -752*j**2 + 3*j - 5*j - 7*j - 1 + 13*j. -752*j**2 + 4*j - 1 Collect the terms in -2*h**2 - 817783*h**3 + 2*h**2 - 817795*h**3 + 1635875*h**3. 297*h**3 Collect the terms in 5*l**3 + 140*l + 154*l - 390*l + 96*l. 5*l**3 Collect the terms in -18244*a**3 - 22057*a**3 + 40303*a**3. 2*a**3 Collect the terms in -52 + 276 - 10 - 50 + 5*h**2 - 108 - 56. 5*h**2 Collect the terms in 15360270 - 15360270 + 3*r**2. 3*r**2 Collect the terms in -520*t**2 - 558*t**2 - 12 + 1086*t**2. 8*t**2 - 12 Collect the terms in -38*s**3 + 122*s**3 - 21*s**3 - 79*s**3. -16*s**3 Collect the terms in -569*w**2 - 116127 + w + 567*w**2 + 4925. -2*w**2 + w - 111202 Collect the terms in -j - 2*j + 7*j - 340651868 + 340651868. 4*j Collect the terms in -648169*n**3 - 5*n**2 + n**2 + 4*n**2. -648169*n**3 Collect the terms in 119*q - q - 18*q + 89*q + 322*q. 511*q Collect the terms in 144*z - 964415 - 138*z + 964415. 6*z Collect the terms in 9472*c**3 + 9473*c**3 - 2*c**2 - 28397*c**3 + 9474*c**3 + 2*c**2. 22*c**3 Collect the terms in -20382*q - 61450*q + 11299*q - 7886*q. -78419*q Collect the terms in -2*x - x**2 - 59 - 15 + 51*x**2. 50*x**2 - 2*x - 74 Collect the terms in -221 - 31*n**2 + 60*n**2 + 208. 29*n**2 - 13 Collect the terms in 8*z**3 - 92*z**3 - 835*z + 805*z. -84*z**3 - 30*z Collect the terms in -33*d**3 + 359*d**3 - 109*d**3 + 4106*d - 2054*d - 2052*d. 217*d**3 Collect the terms in -4221*w**3 + 13417*w**3 - 4276*w**3 - 4465*w**3. 455*w**3 Collect the terms in 416940*h - 416967*h + 2*h**2 - 3*h**2 - 10 + 10. -h**2 - 27*h Collect the terms in -27*v**3 + 909*v - 455*v - 454*v + 519*v**3. 492*v**3 Collect the terms in -1882 - 20*b**2 + 1005 + 883. -20*b**2 + 6 Collect the terms in 478*l - 1091*l - 1888*l**3 + 613*l. -1888*l**3 Collect the terms in -2468 + 129*f**2 - 13185*f + 13183*f + 2468. 129*f**2 - 2*f Collect the terms in 707*n**3 - 152 + 78 + 74 + 1440*n**3. 2147*n**3 Collect the terms in 2560667*c - 2560667*c - 564*c**2. -564*c**2 Collect the terms in -q - 34*q + 12*q - 1737*q**3 + 10*q + 1738*q**3 + 13*q + 32*q**2. q**3 + 32*q**2 Collect the terms in -76551*a + 25521*a + 25523*a - 10*a**2 + 25507*a. -10*a**2 Collect the terms in -8*w - 15*w - 12*w - 14*w + 45*w + 120*w**2. 120*w**2 - 4*w Collect the terms in -102*g - 22578*g**3 + 102*g - 86942*g**3. -109520*g**3 Collect the terms in -11*o - 447024 + 149198 + o**2 + 7*o. o**2 - 4*o - 297826 Collect the terms in 1179*m + 3 + 0 + 1600*m + 1675*m - 1624*m. 2830*m + 3 Collect the terms in -17260*m**2 + 1 - 4 + 8643*m**2 + 8530*m**2. -87*m**2 - 3 Collect the terms in -7970*i**3 + 2033*i**3 - 1879*i**3 - 11570*i**3. -19386*i**3 Collect the terms in -1121*v**2 + 3336*v**2 + 1 - 1 - 1095*v**2 - 1128*v**2. -8*v**2 Collect the terms in -26037*u**3 + 8679*u**3 - 163 + 8677*u**3 + 81 + 8678*u**3 + 74. -3*u**3 - 8 Collect the terms in 12*f**3 + 49*f**2 - 100*f**2 + 48*f**2 + 478*f. 12*f**3 - 3*f**2 + 478*f Collect the terms in -3*z + 3*z - 2424722*z**2 + 17299823*z**2. 14875101*z**2 Collect the terms in -50778*g**3 + 6568*g**3 + 18688*g**3 - 177719*g**3. -203241*g**3 Collect the terms in 2000*a - 4632*a - 1791*a - 5856*a - 5890*a. -16169*a Collect the terms in q + q - 3058 + 3003. 2*q - 55 Collect the terms in -219405776 + 73135248 + 73135263 + d**3 + 73135265. d**3 Collect the terms in 18 - 3463*i**3 - 18 - 996*i**3 - 11558*i**3. -16017*i**3 Collect the terms in 265*p - 65*p - 65*p - 88*p - 35*p - 59*p. -47*p Collect the terms in -13411*m - 7 + 7 - 9354*m + 0. -22765*m Collect the terms in 31310185*w - 31952521*w - 74031423*w. -74673759*w Collect the terms in 75591 - 34*k + 27*k + 9*k. 2*k + 75591 Collect the terms in -5*c**2 - 55041*c**3 + 5*c**2. -55041*c**3 Collect the terms in 3*l + 452 + 489 + 3572 - l + 45. 2*l + 4558 Collect the terms in -21 + 137*q + 17*q + 42*q + 6*q + 83*q. 285*q - 21 Collect the terms in -201181773*k**2 + 8 - 8. -201181773*k**2 Collect the terms in 393*h - 329*h - 17*h - 15*h - 19*h - 12*h. h Collect the terms in 25*d**2 + 15*d + 6*d - 24*d**2 + 50 + 12*d**2 - 3*d. 13*d**2 + 18*d + 50 Collect the terms in 252*i**2 - 152813048 + 152813048. 252*i**2 Collect the terms in 5*s + 59 + 78 + 46 - 59 + 26. 5*s + 150 Collect the terms in -2663*i**2 - 2669*i**2 + 3440*i**2 + 1897*i**2. 5*i**2 Collect the terms in 2*o + 1583328335 - 4*o + 1583328340 - 3166656675. -2*o Collect the terms in -121538*k**3 + 55734*k**3 - 143919*k**3 - 30259*k**3. -239982*k**3 Collect the terms in -77833 + 5*f**2 - 5*f**2 + f**3 + 77860 + 14*f**3. 15*f**3 + 27 Collect the terms in -264 + 264 + 1104*o - 36*o**3 + 1084*o - 3294*o + 1106*o. -36*o**3 Collect the terms in -9279 + 49*j + 2*j**2 + 47*j + 4227 + 5052 - 96*j. 2*j**2 Collect the terms in -4862*i + 9836*i - 4999*i. -25*i Collect the terms in 2560897*f**3 + 242*f + 11 - 2560933*f**3 - 242*f. -36*f**3 + 11 Collect the terms in 2409*x + 2421*x - 14474*x + 2419*x + 2387*x + 2418*x + 2422*x. 2*x Collect the terms in 6 + 30*v - 67*v - v + 33*v - 1. -5*v + 5 Collect the terms in -59*y - 213*y + 35*y - 44*y + 57*y + 47*y. -177*y Collect the terms in 5*u - 13501440*u**2 - 13501432*u**2 + 27002929*u**2. 57*u**2 + 5*u Collect the terms in -129539*w**2 - 5360*w**2 - 20092*w**2 + w - 119364*w**2. -274355*w**2 + w Collect the terms in 19929*n - 34418*n + 14494*n + 0 + 0. 5*n Collect the terms in 106*w**2 + 135*w**2 - 12 + 12 - 15*w**2 + 67*w**2. 293*w**2 Collect the terms in -9*j - 12*j - 2941912082 + 2941912082. -21*j Collect the terms in -814260*s - 982166*s - 202138*s - 650327*s. -2648891*s Collect the terms in 736 - 9416*d - 736 + 36690*d. 27274*d Collect the terms in 3038*t - 59*t + 2506*t. 5485*t Collect the terms in -471*o**3 - 16*o**3 + 874*o**2 - 666*o**2 - 208*o**2. -487*o**3 Collect the terms in 2 + 0*c**2 + 82*c**2 - 62*c**2 + c**2 + 2. 21*c**2 + 4 Collect the terms in -253 - 260 + 800 + 107*z - 287. 107*z Collect the terms in -32*o**3 + 44*o**3 + 42*o**2 + 198*o - 42*o**2 - 10*o**3 - 1211*o. 2*o**3 - 1013*o Collect the terms in 288*n**2 - 100*n**2 + 1563 - 93*n**2 + 1623 - 3186 - 97*n**2. -2*n**2 Collect the terms in -5050614*l**2 + 4352*l**3 + 5050614*l**2. 4352*l**3 Collect the terms in 6017*h**2 + 5853*h**2 - 2*h**3 + 3241*h**2 + 2. -2*h**3 + 15111*h**2 + 2 Collect the terms in -103237*o**3 + 3363*o**2 - 3363*o**2 - 2. -103237*o**3 - 2 Collect the terms in -g + g - 36 + 55 + 120 - 3*g. -3*g + 139 Collect the terms in 3*j**3 - 27953953046*j + 27953953046*j - 2*j**3. j**3 Collect the terms in -8*g + 156747352269 - 156747352269. -8*g Collect the terms in -2291*a - 2167*a + 3 + 4 - 7. -4458*a Collect the terms in -170957*s - 113019*s + 33590*s - 118828*s. -369214*s Collect the terms in -4 + 5 - 54*o - 6426*o**2 - 1. -6426*o**2 - 54*o Collect the terms in 886*o**3 - 24*o**2 - 39 +
{ "pile_set_name": "DM Mathematics" }
0)**0 assuming r is positive. r**(592/209) Simplify (h*h*h*h**7)**(-46)/(h**7)**(-1/8) assuming h is positive. h**(-3673/8) Simplify (c*c*c/(c/c**8)*c)/(c/c**(-6))*(c*c/(c*c**2))**(6/17) assuming c is positive. c**(62/17) Simplify (q/q**(-1/2)*q**(-4))/(q**(-9/2)/q*((q*q*q**(-2/7))/q)/q) assuming q is positive. q**(23/7) Simplify ((u**(-2/5))**(3/32)*u**(-3)/(((u/(u/u**(-3/5)))/u*u)/u))**(-16) assuming u is positive. u**23 Simplify (z/((z/z**19)/z)*z*z/(z/(z**(2/5)*z)))/(z*z**(-33)/z*z)**16 assuming z is positive. z**(2672/5) Simplify ((k**(-4/9)*k)/k)/k*k*k**(1/15)*((k*k**10)/k)/k**(-12) assuming k is positive. k**(973/45) Simplify a**(-21)/a**(-3/7)*(a**(-1/3)*a)**(-3/2) assuming a is positive. a**(-151/7) Simplify (s/(s**(-4)*s)*s*s*s**(-9/7))/(s**(3/2)/(s*s**13)) assuming s is positive. s**(241/14) Simplify ((d/(d/(d**(-6)*d)))/(d**(-4)/d*d*d)*(d*d**2)/d**(3/5))**(-21) assuming d is positive. d**(-42/5) Simplify (r/((r/r**(2/9))/r))**36*r**(-2)/r**13 assuming r is positive. r**29 Simplify (((a**(-3)*a)**(-24))**(12/17))**(-3/11) assuming a is positive. a**(-1728/187) Simplify ((d/d**(-2/25))/(d/(d**27*d)))/(((d**16/d)/d)/d)**(-3/22) assuming d is positive. d**(16419/550) Simplify (p*p**4)/(p**35/p)*(p**(-6)*p*p)**2 assuming p is positive. p**(-37) Simplify (d*d/d**(2/19)*d**(1/6))/((d*d/d**4)/((d**10/d*d)/d*d)) assuming d is positive. d**(1603/114) Simplify (((((y**(-1)/y)/y)/y)/y**(-2/21))**(-5/4))**(-14) assuming y is positive. y**(-205/3) Simplify (w**3/(w*((w**(-4/15)*w)/w*w)/w*w))/(((w*w**0)/w)/w)**(-44) assuming w is positive. w**(-641/15) Simplify (l/(l*l/l**(-10)))**(-46)/(l/(l**9*l))**0 assuming l is positive. l**506 Simplify ((p/(p*p**(-1)*p))**(-8/15))**(-3/7) assuming p is positive. 1 Simplify g**(-1/13)*(g/(g/g**(1/40))*g)/g*g*g**(-9)*g**(-11/5) assuming g is positive. g**(-5331/520) Simplify ((f**(-1/3)/(f*f/f**0*f))/((f**(-3)/f)/(f/f**(-2))))**(-42) assuming f is positive. f**(-154) Simplify (p**5/p*p*p)/(p**(-1/10)*p)*p**(-2/7)/((p*p*p**(-15))/p) assuming p is positive. p**(1317/70) Simplify (v**1)**20*(v/(v*v**(-2/25)/v)*v)/v**(-4/13) assuming v is positive. v**(7276/325) Simplify ((((k*k*k**(-1))/k)/(k*k**8*k))/(k**(1/2)*(k**(-2)/k*k)/k))**(-1/31) assuming k is positive. k**(15/62) Simplify m/(m*m**(4/7))*m/(m/(m*m**(-11)))*m*m*m*m*m*(((m/(((m**(-1/7)/m)/m)/m))/m*m)/m)**(-4) assuming m is positive. m**(-127/7) Simplify ((o/o**(-10)*o)/o*o**2)/(o**4*o)**(6/11) assuming o is positive. o**(113/11) Simplify (q/(q**(-2/15)/q))**(-2/9)/((q*q**(-8)/q)/(q**8*q)) assuming q is positive. q**(2231/135) Simplify (((c**(15/4)*c)/c)/(c*c/(c/c**(-17))*c*c))/(c**(15/7)*c**(1/12)) assuming c is positive. c**(326/21) Simplify (c**(-4)*(c*(c/(c**(2/9)/c*c)*c)/c)/c*c*c/(c*c/c**(-2/19))*c*(c*c**(-5/3))/c)**(-49) assuming c is positive. c**(33467/171) Simplify c*c/c**1*c**(1/38)*c**(-9)/(c/c**(-10)) assuming c is positive. c**(-721/38) Simplify (b**(1/5))**12*b*b**6/b*b*b**(-8) assuming b is positive. b**(7/5) Simplify ((j*j*j**5*j*j)/j)**(-8)/(j**0)**(-1/23) assuming j is positive. j**(-64) Simplify (((s*s*(s**(-1/3)*s*s)/s*s)/(s/(((s*s*s*s/(s/s**(-15))*s)/s*s)/s)))**(-1/3))**(1/5) assuming s is positive. s**(28/45) Simplify ((a/(a*((((a/(a**(-4)/a))/a*a)/a)/a)/a*a)*a*a)/a*a**(-3/2)*((a*a**(-1/2))/a*a)**(-3/22))**(-8) assuming a is positive. a**(402/11) Simplify h/h**(2/15)*h**10*h**(-2/41)/(h**(2/17)/h*h) assuming h is positive. h**(111871/10455) Simplify (y*y**(-3/4)*(y/y**(2/63))/y)/(y**(-2/5))**(-29) assuming y is positive. y**(-14341/1260) Simplify ((c**7*c)/c*c*c*c*c**(-1)/c*c*c)/(c*c**(-8)*c**4*c) assuming c is positive. c**12 Simplify (((f*f**(-2/13)*f*f)/f*f*f*f**(1/4)*f)/(f**(-1/3))**(-31))**(2/61) assuming f is positive. f**(-817/4758) Simplify ((i/((i/(i/i**(-1/26)))/i))/(i/i**(-15)))/(i**20/(i*i*i**(-1/25)*i)) assuming i is positive. i**(-20151/650) Simplify ((y/((y*y*y*y/(y/((y/(y*y/(y/y**(-4))))/y)))/y*y)*y**(-2/35))**38)**4 assuming y is positive. y**(-26904/35) Simplify (((t**(2/3))**14)**(-13/8))**(-29) assuming t is positive. t**(2639/6) Simplify v*(v*v**(3/2)*v*v)/v*v**(5/4)/v*v*((v*v**(-26))/v)/v*v**17 assuming v is positive. v**(-17/4) Simplify (((t/t**(-3/2))/t)**(5/2)/(t*t**(1/2))**(-3))**(37/3) assuming t is positive. t**(407/4) Simplify (c/(c/(c/(c/(c*c/(c/(c*c*(c**0*c)/c)))))))**(4/23)/((((c/((((c/(c*c**(-2/17))*c)/c)/c)/c))/c)/c)/c**17) assuming c is positive. c**(6506/391) Simplify (k/(k**(-2/5)/k)*k*k*k**(-3/17))**(-7/3) assuming k is positive. k**(-2513/255) Simplify (y/y**(3/7))**(-1/12)/(y**0*y)**(3/16) assuming y is positive. y**(-79/336) Simplify (u**9/(((u/(u/(((u/(u*(u*(((u/(u/(u/u**1*u)))/u)/u)/u)/u)*u)/u)/u)))/u)/u)*u*u**2*u*u**(-6)*u)**(-11/9) assuming u is positive. u**(-11) Simplify (t**(2/3))**(-5/6)*(t*t**5)**(-49) assuming t is positive. t**(-2651/9) Simplify ((h**7/h**4)**(-9))**(-37) assuming h is positive. h**999 Simplify ((u/u**4)/(u/(u*u**(-2/17)))*(u*u*u*((u**(-5)/u)/u)/u)/(u*u**0))**(-7/5) assuming u is positive. u**(217/17) Simplify (a/(a*a*a**(-2/5)/a*a*a*a)*a**(-1/19))**32 assuming a is positive. a**(-8064/95) Simplify (t*t*t**(-3/5)*t**9)/(t**(-4)/t)**13 assuming t is positive. t**(377/5) Simplify (x/(x**(-10)/x))/(x/(x/(x/(x*x**(-6)))*x*x))*(x*(x**(-2/5)*x)/x)**(-21/5) assuming x is positive. x**(137/25) Simplify (s**1/s)**42*(s**(1/7))**43 assuming s is positive. s**(43/7) Simplify ((u*((u/u**(-1)*u)/u)/u)**(-2/19)/(u*u*u**(-2/11)*(u/((u**(-4/9)*u)/u*u)*u)/u))**0 assuming u is positive. 1 Simplify (b*b*b**(-2))**(2/143)/((b/((b**11/b)/b))/b**(4/7)) assuming b is positive. b**(60/7) Simplify (q/q**(-4))**25/(q**2/q*(((q/(q/q**5))/q)/q)/q) assuming q is positive. q**122 Simplify ((y**(-2))**(-19)*(y**9/y)/(y/(y**(-4)/y)*y))**(-16) assuming y is positive. y**(-624) Simplify h**(-6)*h/h**(9/2)*(h/h**(-31))/(h/h**(-13)) assuming h is positive. h**(17/2) Simplify (z**11*z**(-8/7))/(((z**(-4/9)/z)/z)/((z*z/(z*z*z/(z*z**32))*z)/z)) assuming z is positive. z**(2791/63) Simplify (((n/(n/n**(-2/3)))/((n/(n/(n*n**(-1/20))))/n))/(n**(2/3))**6)**(-37) assuming n is positive. n**(10249/60) Simplify (t**(11/5)/t*t**(2/61))/(t**(-2/7)*t**(-3/16)) assuming t is positive. t**(58277/34160) Simplify (f**(4/3)/f)**43*f**(-1/30)/(f*f**6) assuming f is positive. f**(73/10) Simplify ((z*z**(-9/2))/(z**(1/4)/z))/(z**(-2)/(z*z**(1/3))) assuming z is positive. z**(7/12) Simplify ((m*(m*m**(-5/3)*m)/m)/m**4)/((m**29/m)/(m/(m/(m*(m/(m*m/(m*m*m**(-3)*m)*m))/m)))) assuming m is positive. m**(-101/3) Simplify (v/(v/(v/v**(9/2))))/(v*v**19)*v**(2/5)/v**(2/13) assuming v is positive. v**(-3023/130) Simplify (d**(2/15)/d**(-8/7))/(d**(1/4)/(d/(d/(d/((d**(-4)/d)/d*d))))) assuming d is positive. d**(2951/420) Simplify ((y**(-5)*y)/(y*y**(2/5)))/((y*y/y**(-2/13)*y)/y**11) assuming y is positive. y**(159/65) Simplify (((n**(-4/7)/n*n)**36)**4)**(1/9) assuming n is positive. n**(-64/7) Simplify ((t**(-2/11))**(1/15))**(-2/9) assuming t is positive. t**(4/1485) Simplify (c*c**(-8)/c*c**(-5)*c)/((c*(c**8/c*c*c)/c)/(c*c/(c/c**11))) assuming c is positive. c**(-9) Simplify (q**10*q)/q**(-4/3)*q**(1/5)*q*q**(-4/7) assuming q is positive. q**(1361/105) Simplify (z/z**(5/4)*z/(z/(z*z/(z/(z/(z/((z*z*z/z**(-7)*z)/z)))))))/((z**(-9/4)/z)/z)**32 assuming z is positive. z**(587/4) Simplify (((t*t*t*t**(3/8)*t)/t)**(-12))**(2/27) assuming t is positive. t**(-3) Simplify (s*(s/(s/(s/(s**1*s))))/s)**(3/31)/(s**3)**(5/3) assuming s is positive. s**(-158/31) Simplify (u*u*u**20*u*u**(3/8))/((u**15*u)/(u*u**15)) assuming u is positive. u**(187/8) Simplify (w/((w/(w/(w/((w/(w*((w*w**(-13)*w*w)/w)/w*w*w))/w)*w)))/w*w)*w**(-12)*w)/(w**(-5/2)*w*w**4/w) assuming w is positive. w**(-9/2) Simplify n**(-6)/n**24*n/n**(-21)*n**(-2/3)*n assuming n is positive. n**(-23/3) Simplify (b/(b*b*b**(-7)*b))**(1/14)*(b/(b*b*b**(-1/22)*b))/b**(-2/5) assuming b is positive. b**(-461/385) Simplify (g/(g*g**(-4/5)))/(g/g**6)*g*(g*g*g*g/(g**(11/2)/g))/g*g*g*g*g*g**(-14) assuming g is positive. g**(-47/10) Simplify ((a**(-1)*a)/a*a)/a*a**(-8)*((a*a**(-7))/a)/a**(-1) assuming a is positive. a**(-15) Simplify ((r**(-22)/r)/r)**7/(((r*r/(r*r/(r/(r/(r/r**(-3/26)))))*r)/r)/(r**3/r)) assuming r is positive. r**(-4345/26) Simplify (o*o/o**(13/3)*o)**(20/9)/((o/o**(-12))
{ "pile_set_name": "DM Mathematics" }
)*(-3 + 5 + 0) + 0 + 2 + 2) as m*i + j and give m. -100 Express -333 + k**3 + 170 + 162 + 55*k**2 as d*k**2 + t*k + n + u*k**3 and give u. 1 Express 1282*t - 2569*t + 1286*t + 3 - t**3 as i + r*t + q*t**2 + h*t**3 and give r. -1 Rearrange v**2 + 0*v**2 + 7*v**2 + (0 + 2*v + 0)*(-5*v + 0*v + 3*v) + v + 8*v**2 - 7*v**2 + 5*v**2 to p*v**2 + o + h*v and give p. 10 Express 6 - v**3 + 208*v - 196*v - 16 + 8 as n*v**3 + r*v**2 + k*v + j and give n. -1 Express -7*q - 8*q + 4*q as p*q + l and give p. -11 Express 923*t + 1155*t + 199*t - 190*t in the form j + m*t and give m. 2087 Rearrange (-3 + 12 + 8)*(-14 - 56 + 11)*(3 - 3 + 2*r) + 0*r + 2*r + 0*r to i + v*r and give v. -2004 Rearrange (1 - 1 - 2*c**2)*(3 + 2 - 3) - 76*c**2 + 59242 - 59242 to the form n*c**2 + i + x*c and give i. 0 Express 15 + s**2 - 677*s**4 + 674*s**4 + 18*s - 9*s - 8*s as a*s**2 + l*s**3 + u*s + b*s**4 + z and give l. 0 Rearrange 47*u + 106 - 106 + 115*u to the form r*u + p and give r. 162 Express 4*s + 3*s + 229*s**2 + 377*s**2 - 4*s - 2*s in the form z + f*s + l*s**2 and give f. 1 Express -i + 5*i - 2*i + (3 + 0 - 1)*(i - 4*i + 5*i) + 829 - 4*i - 829 + 28 - 3*i - 28 as r*i + n and give r. -1 Rearrange 2*m - 19 - 8 + 15 + (m + m - 5*m)*(5 - 3 - 1) to w + j*m and give w. -12 Rearrange -4*h + 4*h + 6*h + 513 - h - 3*h to l*h + g and give g. 513 Rearrange -367*w + 505*w + 1536*w to the form u + k*w and give k. 1674 Rearrange (101*c - 331*c - 380*c)*(-5*c + 5*c - c) to the form p + x*c**2 + w*c and give x. 610 Express 72*v**2 - 3*v**3 + 5 + 3*v**4 - 5 - 2*v - 36*v**2 as t*v**2 + x*v**3 + f + d*v + h*v**4 and give d. -2 Express -650*x - 54*x**3 + 3 + 325*x + 325*x in the form i + g*x**3 + z*x + l*x**2 and give i. 3 Express -63*z + 30*z - 24*z**2 + 31*z + 2 + 2*z**3 - z**4 as v*z**4 + k + l*z**3 + y*z + h*z**2 and give k. 2 Express -3*w**2 + 10*w**2 - 1 + 8*w**2 + 60*w**3 + 7*w**2 + w**4 - 65*w**3 as o*w**2 + v*w + b + r*w**4 + d*w**3 and give v. 0 Rearrange -514*u**4 + 515*u**4 - 6 + 4*u - 4*u - 6*u**3 + 0*u**3 to t*u**2 + k*u**4 + r*u + h*u**3 + z and give h. -6 Rearrange (2 - 1 - 4)*(-i**3 + 0*i**3 - 5*i**3) + (-2*i**2 + i - i)*(-19 - 4 + i - 6) to the form o + w*i + p*i**2 + g*i**3 and give p. 58 Express -4155*z**2 - z**4 + 5*z**3 - 4150*z**2 + 8306*z**2 - 8 in the form y*z**2 + o*z**4 + m + s*z + d*z**3 and give o. -1 Rearrange 9 + 6 - 2*f**2 + 2*f + 0 to the form v*f**2 + x*f + a and give v. -2 Express 66*q + 154*q + 48*q + 38*q in the form h + z*q and give z. 306 Express -17 + 5 - 10 + 281*l + 13 + 11 in the form q + c*l and give c. 281 Express -50 + 25 - 122*b + 26 + 18*b as p + t*b and give t. -104 Express -66*g - 179*g - 88*g in the form n*g + u and give n. -333 Express 8*f**2 + 5*f**2 - 10*f**2 - 10 - f**3 as i*f**2 + u + t*f + g*f**3 and give i. 3 Rearrange -2*t - 10*t**3 + t**2 - t + 8*t**3 + 7*t to the form s*t + d*t**3 + k + p*t**2 and give d. -2 Rearrange 10*x**2 - 6*x**2 - 4*x + 3*x**3 + 10*x - 5*x + 4*x**3 to the form j + m*x**2 + p*x**3 + w*x and give w. 1 Rearrange 2*l + 2*l + 3*l - 11 - 7*l**2 + 10 - 4*l to f*l + v + q*l**2 and give f. 3 Rearrange -133*l**3 + 127*l**3 + 7 + 19*l - 9 to m + q*l**3 + r*l**2 + s*l and give m. -2 Rearrange (2*n - 2*n - 2*n)*(-52*n + 21*n + 23*n) - 2*n**2 - 4*n**2 + 4*n**2 to the form h + d*n + w*n**2 and give w. 14 Rearrange -7*s**2 - 2*s**2 + 0*s**2 + 4*s + 8*s**2 + 0*s**2 - 115*s**3 to i*s**2 + u*s**3 + x*s + t and give x. 4 Express -2 - 895*y**3 + 1783*y**3 - 886*y**3 - 15*y**2 as z*y**3 + k + b*y**2 + f*y and give k. -2 Rearrange (0*l**2 - 2*l**2 + 0*l**2)*(4*l + 9*l - 3*l)*(7 - 5 + 5) to the form h + k*l**3 + b*l + y*l**2 and give k. -140 Express -11*f + 53 - 20*f + 12*f as r*f + i and give r. -19 Express (-6 - 21 + 8)*(3*w + 0*w + 2*w)*(4 - 1 + 5) as r*w + u and give r. -760 Express (4 + 4 - 6)*(-11*q**3 - 891458 + 16*q**2 + 445731 + 445728) as v*q**3 + u + b*q + w*q**2 and give u. 2 Express 2*k + k - 4*k + (2 - 2 - k)*(4 - 12 - 8) + 5*k - 2*k - 12*k in the form j + y*k and give y. 6 Express 6*c + 869*c + 171*c + 45*c as u*c + i and give u. 1091 Express (z + 3*z - 3*z)*(2*z - 2*z + z**2 + (-4*z - z + 4*z)*(3*z + 0*z - z) - 6*z**2 + 2*z**2 - z**2 + 3*z**2 - 2 + 2) as r*z**3 + g + o*z + y*z**2 and give y. 0 Express 14*x - 21*x + 9*x + 131 in the form z*x + o and give o. 131 Express 22*c**3 - 15*c - c**4 + 0*c**4 - 18*c**3 + 13*c - 1 in the form m*c**4 + k*c**2 + p + n*c + l*c**3 and give l. 4 Express 2 + 515*m**3 - 259*m**3 - 262*m**3 - 1 - 2*m**2 as k*m**2 + o + g*m**3 + q*m and give g. -6 Express i**2 + 19 + i**3 + i**2 + 0*i**2 + 22 - 3 as n*i**2 + z*i**3 + u*i + r and give n. 2 Rearrange -6*l + 923*l**2 - 926*l**2 - 12*l - 2*l**3 to the form r*l**3 + a + d*l**2 + q*l and give q. -18 Express (-5*u + 3*u + u)*(-2 + 9 - 3) + (-2 - 1 + 5)*(0*u - u + 0*u) - u + 0*u + 0*u as a*u + d and give d. 0 Express -401 + 777 + 2*d - 4*d as a*d + p and give p. 376 Express 2*o**3 + 3426287*o**2 + 26*o - 2 - 3426287*o**2 as z*o + b*o**2 + g + y*o**3 and give z. 26 Express 3 - g**2 + 49*g**3 + 0*g**2 + 63*g**3 + g - 84*g**3 in the form j + u*g**2 + z*g + n*g**3 and give n. 28 Rearrange 2 - 5 + 1244*o**2 + 3 - 209*o**2 to the form q*o**2 + f + p*o and give q. 1035 Rearrange 15*l**2 - 36*l**2 + 19*l**2 + 1 + 103*l**4 + 1 - l**3 + l to the form d*l**2 + y*l**4 + z*l**3 + p*l + c and give d. -2 Rearrange -2 + x + 10*x - x**3 + 4*x**4 + 2*x**3 - 10*x - 2*x**2 - 6*x**4 to f*x**2 + l*x**4 + r*x**3 + y*x + t and give t. -2 Rearrange 3*x + 7 + 0*x - x - x to the form a*x + n and give n. 7 Express 147369 - 1227*l**2 + 121*l**2 - 147367 as p*l + i*l**2 + r and give p. 0 Rearrange 28*n - 4 + 4*n + 2 + 7 to y + d*n and give y. 5 Rearrange -845*p - 127*p**3 - 2*p**4 - 843*p + 1686*p to the form w*p**4 + c*p**2 + l + a*p**3 + u*p and give u. -2 Rearrange (-7*b + 0*b + 4*b)*(-2 - 1 + 1)*(39 - 18 - 144) to m*b + y and give y. 0 Express (-3*z**2 + 2*z - 2*z)*(498*z + 14*z + 124*z + 1814*z + 175*z) as m*z**3 + l*z + a*z**2 + o and give m. -7875 Rearrange (2 - 2 + 2*d**2)*(-4*d + 8*d + 5*d) + 4*d**3 - 5*d**3 + 0*d**3 - d**3 - 3*d + 3*d to the form v*d**3 + b*d**2 + m*d + h and give v. 16 Express 318*h**2 + 20 - 318*h**2 + 22 + 5*h**3 as f*h**3 + v*h + q*h**2 + p and give p. 42 Rearrange -5738 + 5738 - 279*z**2 to the form p + c*z + d*z**2 and give d. -279 Rearrange -90*x**2 + 50*x**2 - 159*x**2 to y + g*x + f*x**2 and give f. -199 Rearrange -1 + 156*j**2 - 2*j**4 - 3 + 2*j**3 - 156*j**2 - 2*j to s*j**4 + l*j**3 + z*j**2 + r + c*j and give s. -2 Express 91 - g**3 - 46 - 47 + 7*g + (6*g**2 - 3*g**2 - 2*g**2)*(-2*g + 0 + 0) as u*g**2 + o*g + l + v*g**3 and give l. -2 Express -2*u**2 + 338*u + u**3 + 3 - 339*u + 6*u**3 + (-2*u**2 + u**2 + 3*u**2)*(-3*u + u + 0*u) as b*u + t*u**3 + z*u**2 + l and give z. -2 Rearrange 121*f - 32*f - 5 + 10*f to h*f + c and give c. -5 Rearrange 133*l + 13 - 11 - 2 + 201*l to the form j*l + z and give j. 334 Rearrange -175*z + 81*z - 11 + 111*z to p*z + w and give p. 17 Rearrange 216*i - 13*i + 193*i + 3*i**2 - 6*i**2 + i**2 to l*i + k + v*i**2 and give v. -2 Express 16*v**2 - 2*v**3 - v**4 - 3*v**2 + 4*v + 0 + 0 + 1 as l + h*v**2 + o*v**4 + a*v**3 + x*v and give a. -2 Express 12*r**4 + 12*r**4 - 50*r**4 + (-216*r**2 + 104*r**2 + 110*r**2 + 1 - r)*(1 - 1 + 2*r**2) in the form c*r**3 + o*r + y*r**2 + q + n*r**4 and give n. -30 Express 15*p - 52*p**3 + 13*p**3 + 36*p + 38*p**3 - 5 in the form s*p + i*p**3 + t + z*p**2 and give t. -5 Rearrange (-4*v - v + 3*v + (5 - 5 - 1)*(-3*v + 7*v - 10*v))*(0*v + 4*v - 2*v) to the form b*v + w + h*v**2 and give h. 8 Rearrange -9*s**4 + 37*s**4 + 37 + 142*s**3 - 139*s**3 - 38 + 3*s**2 to the form i*s**4 + u*s**3 + f*s + a*s**2 + g and give i. 28 Rearrange -2 + 2 + 3*l**2 + (3*l + 0*l - 2*l)*(2*l - 5*l + l) + 9*l**2 + 1437 + 1434 - l - 2872 to r + q*l**2 + u*l and give u. -1 Express (-4*m + 3*m + 2*m)*(-26*m**2 + 71*m**2 + 15*m**2) + (m - 2*m + 0*m)*(14*m - 14*m + 6*m**2) as w*m + z*m**3 + h + l*m**2 and give z. 54 Rearrange -52*b**2 - 51 - 967*b**2 - 42 + 94 to the form k + h*b + f*b**2 and give k. 1 Express (-77*h - 41 + 29 + 80*h)*(2 - 4 + 3) as y*h + g and give g. -12 Express -2 - 4*k - 6 - 4 + 2*k**4 + 2*k - 3*k**2 as o*k + f*k**3 + a*k**4 + y + i*k**2 and give a. 2 Rearrange -9*c**2 - 4*c - 412*c*
{ "pile_set_name": "DM Mathematics" }
m**3). -13*m**3 Expand -2*k + 21*k**2 - 3*k**4 - 21*k**2 - k**4 + 2*k**4 - 3*k**4 + (-2*k**2 - 1 + 1)*(4*k + k**2 - 4*k). -7*k**4 - 2*k Expand (2*m**2 - m**2 - 2*m**2)*(-19 + 7 - 17)*(-m**2 + m**2 + 2*m**2)*(-3 + 3 - 3*m). -174*m**5 Expand (-c + 3 - 3)*(-2 + 0 + 1) + 2 - 2 - 3*c. -2*c Expand -15*u**3 - 3*u**4 + 15*u**3 + (u - 4*u + 5*u)*(-2*u**3 - 2*u**3 + 2*u**3) + 3*u**4 + 0*u**4 - 5*u**4 - u**4 + 2*u**2 - 2*u**2 + 0*u**3 + 0*u**3 - 3*u**4. -13*u**4 Expand (3*k + k**3 - k - 3*k**3)*(k**2 + 4*k**2 - 2*k**2 + (k + 3*k - 2*k)*(2*k - 2*k - k) + 3*k**2 + 3*k**2 - 2*k**2). -10*k**5 + 10*k**3 Expand 18*s**2 - 18*s**2 - 7*s**5 + (0*s**3 - 2*s**3 - s**3)*(-3*s**2 - 2*s**2 + 3*s**2). -s**5 Expand (6*j**2 + 31*j**2 - 4*j**2)*(0 + 0 - 2)*(-3*j**3 + 3*j**3 - j**3). 66*j**5 Expand -2*d**2 - 4*d + 4*d + (-4 + 0 + 3)*(-d - 2 + 2)*(6*d + 3*d - 5*d + (3 - 1 + 0)*(0*d - 3*d + 2*d) + 6*d + 7*d + 6*d). 19*d**2 Expand (3 - 3 - 2)*(13 - 13 + 4*l)*(-l + l - l**2). 8*l**3 Expand (-r - 2*r**2 + r)*(-2*r + 6*r + 0*r) + 0*r**3 + 0*r**3 - 2*r**3. -10*r**3 Expand (-6 - 3*w + 6)*(-1 + 2 + 0). -3*w Expand (-3*n + 6*n + 0*n - 4*n + 4*n - n + 0*n - 2*n + 3*n + (-3 - 2*n + 3)*(2 - 3 - 1))*(n**3 + n**3 + 0*n**3). 14*n**4 Expand -2*g**2 - 2*g + 4*g - g**2 + (2 + 0 + 0)*(-21*g**2 + 19*g - 19*g). -45*g**2 + 2*g Expand (-2 + 2 - b**3)*(4*b - 2*b - b). -b**4 Expand 4*o - 4*o + 2*o - 21 + 21 + 7*o + o - 2*o + 2*o + (0*o + 4*o - 3*o)*(3 - 1 + 0) - o + o + o. 13*o Expand (4*d**3 + d**4 - 4*d**3)*(3 + 3 - 7). -d**4 Expand 0*p**3 - p**3 + 3*p**3 + (-1 - 2 + 2)*(2*p**3 + 0*p**3 + 0*p**3) - 3*p**3 - p**3 + 2*p**3 + (-11*p - 19*p + 12*p + p**3)*(2 + 2 - 3). -p**3 - 18*p Expand (0 - 3 + 4)*(15*d - 5*d + d) + (0*d + 1 + 0*d - d)*(-1 + 3 + 0). 9*d + 2 Expand (2 - 1 + 0)*(5*t + 10*t - 5*t) + (-4*t + 4*t + 2*t)*(-3 + 0 + 4). 12*t Expand (3*v**2 + 0*v**2 - v**2)*(1 - 3 - 3)*(-3*v + v + v). 10*v**3 Expand 6 - x**2 - 33*x + 33*x - 2*x**2 - x + x + (7 - 2 - 4)*(x**2 + 3*x**2 - 2*x**2) - 1 - x**2 + 1 - x**2 + x**2 - 2*x**2. -4*x**2 + 6 Expand (-3*m + 6*m - m)*(4*m - 3 + 3)*(2 - 2 + 3*m). 24*m**3 Expand (3 + 3 - 4)*(-7*n - 31*n**2 + 33*n**2 + 32*n). 4*n**2 + 50*n Expand (5*n - n - 2*n)*(-n + n - 2*n) + (-2*n + 2*n + 2*n)*(-3*n + 5*n + n). 2*n**2 Expand (0*h**2 + 4*h**2 - 2*h - 2*h**2)*(-2*h**2 + h - h). -4*h**4 + 4*h**3 Expand (2 - 3*m - 2)*(3 - 6 + 4) - 13 + 13 + 2*m. -m Expand -o**5 - o**5 - 2*o**5 - o**5 - 2*o**5 + 2*o**5 + (-5*o + 2*o**3 + 5*o)*(-o**2 + 4 - 4) - 5*o**5 + 3*o**5 + o**5 + o - 3*o**5 - o. -11*o**5 Expand (-3*m**5 + m**5 + m**5 - 11*m**4 + 11*m**4 - 9*m**5 + (-m + 1 - 1)*(-3*m**4 - m**4 + 2*m**4))*(6 - 4 + 0). -16*m**5 Expand -2*p**4 + 0 + 0 + 2*p**4 + p**4 - 2*p**4 + 3*p**4 - 2*p**4 + 0*p**4 + (-3 + 1 + 1)*(-3*p**4 + 0*p**4 + 2*p**4) - 5*p**4 - 12*p**4 - 5*p**4. -21*p**4 Expand (0 + 0 - 5)*(x - 2*x - x)*(-1 + 2 + 0 + (-1 + 3 + 0)*(2 + 0 - 4)). -30*x Expand -h**4 + h**3 - h**3 + (-h**2 + 3*h**2 + 0*h**2)*(3 - 3 + h**2) - 3*h**3 - 2*h**4 + 3*h**3 + 5*h**4 + 4*h**4 - 33*h**4 + 3*h**2 + 2*h**4 - 3*h**2. -23*h**4 Expand -2*m**4 + 0*m**4 - 4*m**4 - 5 + 5 - 3*m**4 + (-4*m**2 + 2*m**2 + 3*m**2)*(0*m**2 + 5*m**2 - 3*m**2). -7*m**4 Expand (c - c**2 - c)*(-16*c + 2407 - 2407). 16*c**3 Expand (18*y**3 + 18 - 18)*(y - 5*y + y). -54*y**4 Expand 11 + 11*m**2 - 11 + 0*m + 0*m - m**2 + (-2*m - 2 + 2)*(2*m + 0*m + 0*m) + m**2 + 2*m**2 - 4*m**2. 5*m**2 Expand (-3 + 6*u + 1 + 0)*(0*u**4 - 4*u**4 + 5*u**4) + 2*u**5 - 5*u**5 + u**5. 4*u**5 - 2*u**4 Expand (2*o**2 + 0*o**2 - 3*o**2)*(-3 + 5*o**3 + 5 - o**3). -4*o**5 - 2*o**2 Expand 0*u - u**2 + 0*u + 149*u**2 - 42*u**2 + 66*u**2 + (-2*u + 0 + 0)*(-2*u - u + 2*u). 174*u**2 Expand (-1 + 1 - l)*(2*l**2 - 3*l**2 + 0*l**2 - 4*l**2 + l**2 - 2*l**2 - l**2 + 0*l + 0*l + (-4 + l + 4)*(0*l + 4*l - 6*l)). 9*l**3 Expand (6 - 78*n - 6)*(3 - 1 - 3). 78*n Expand (1 - 1 - r)*(4 + 11 - 4)*(0*r + 6*r - 4*r). -22*r**2 Expand (-2*j + j + 4*j)*(-4 - 4 - 10). -54*j Expand (-5*a + 0*a + 3*a)*(0*a**2 - a**2 - a**2) + (2*a**2 - 5*a**2 + 6*a**3 + a**2)*(-2 - 1 + 1). -8*a**3 + 4*a**2 Expand (-1 + 4 - 10)*(0*k**3 + 2*k**3 - 4*k**3). 14*k**3 Expand (-2 - 1 - 2)*(1 + 0*g - 3*g + g). 10*g - 5 Expand (3*q**2 + q**2 - 3*q**2)*(-3 - 2*q + 3) + (q - 10*q + 5*q)*(0 - 2*q**2 + 0) + (-3 - 1 + 2)*(0*q**3 + 0*q**3 + q**3). 4*q**3 Expand -5 - o**3 + 5 + (o - 2*o + 0*o)*(2*o**2 - 2*o + 2*o) + (-4 + o + 1 + 2)*(-6*o**2 - 9*o**2 + 0*o**2). -18*o**3 + 15*o**2 Expand (13 + 0 - 5)*(9*c**4 + 3*c**5 - 9*c**4). 24*c**5 Expand -104*p - 17*p**2 + 104*p - p**2 + 3*p**2 + 0*p**2 + (1 - 1 - 2*p)*(-2*p + p + 3*p) + p**2 + p - p. -18*p**2 Expand -i + 4*i - 4*i + (4 + 2 - 2 + 1 + 1 + 0 + (3 - 4 + 2)*(-1 + 1 - 1))*(i - i + i). 4*i Expand (-2*w**3 - 4*w + 4*w)*(-w - 2*w + 4*w + (-5*w + 5*w - 2*w)*(1 + 3 - 2)). 6*w**4 Expand (2*q - 4 + 2 + 2*q)*(3 - 4 - 6). -28*q + 14 Expand 0*x + 0*x - 2*x**4 + (2*x - 2*x + x)*(-4*x**3 - x**3 + 4*x**3). -3*x**4 Expand (2 + 0 - 1)*(c + 3*c - 3*c + 3*c - 2*c + c + 4 + 2*c - 4 - 2 + 2*c + 2 + (-2*c - 2*c + 3*c)*(2 - 2 + 1) - 3*c + 3*c + 2*c). 8*c Expand (r**3 - r**3 - 3*r**3)*(-1 + 2 + 0)*(-5*r - 5*r - 3*r). 39*r**4 Expand -4*r - 3*r + 6*r + 2*r - 2 + 2 + (1 - 3 + 1)*(r + 0*r + 0*r) - r + r + r + 4*r - 2*r - 4*r. -r Expand (0*k**2 + 2*k**2 - 3*k**2 - 2)*(k - k + k**2). -k**4 - 2*k**2 Expand (-2*v**2 - v**2 + 4*v**2)*(v**2 + 2*v**2 + v**2) - 4*v + 3*v**4 - 2*v**4 + 2*v. 5*v**4 - 2*v Expand (-3*t - 4*t + 5*t)*(t**3 - t**3 - t**3 + (-4*t + 3*t + 2*t)*(4*t**2 - 9*t**2 + 3*t**2)). 6*t**4 Expand (5*u**3 - 4*u**3 + 2*u**3)*(29 + 13*u - 29). 39*u**4 Expand (0 + 5 - 3)*(-223*u**2 + 39*u**4 + 223*u**2). 78*u**4 Expand (4 - 2 + 0 + 0 + 0 - 1 + (-1 + 2 + 0)*(1 - 6 + 3) + 2 - 1 - 2)*(-2 - 2 + 3)*(-3*h + h + 7*h). 10*h Expand (3 + 1 - 3)*(-18 + 18 - 6*v) + (0 - 3 + 5)*(2*v + 0 + 0). -2*v Expand (-2*o**5 + o**5 - o**5)*(-4 + 2 + 1) + (2*o**2 - 2*o + 2*o)*(30*o**3 + 0*o**3 + 50*o**3). 162*o**5 Expand (0*j - 4*j + 2*j)*(33*j**2 + 12*j**2 - 6*j**2 + 3). -78*j**3 - 6*j Expand 0*z**2 - 40*z + 2*z**2 + 11*z + 2*z + 2*z**2 - 2*z + (-2 + 2 + 2*z)*(-1 + z + 1). 6*z**2 - 29*z Expand -8*d - 7 + 7 + (-2*d + 4 - 4)*(4 + 1 - 7) - 3*d + 3*d - 2*d. -6*d Expand (n + 0*n - 3*n)*(-121 + 121 - 59*n). 118*n**2 Expand (0 + 0 - 2)*(66*b**2 - 66*b**2 - 42*b**3). 84*b**3 Expand (4*i - 2*i - 4*i + (-3*i + 4*i + 0*i)*(2 - 2 + 2) + i + 2*i - i + 0*i - i + 2*i)*(13*i - 48*i - 31*i). -198*i**2 Expand (g**2 + g**2 + 0*g**2)*(3*g**3 - 2*g**3 + 4*g**3) - 3*g + 3*g - 2*g**5 - 4*g**5 + 2*g**5 + 3*g**5. 9*g**5 Expand -2 - 2*n + 2 + (1 - 1 - 1)*(-n + 0 + 0). -n Expand (4*p + 0*p - 3*p)*(4 - 3 + 0)*(3 - 3 - 2). -2*p Expand 2*d - 2*d - 2*d**5 + 4*d**5 - 5*d**5 + 2*d**5 + (-d + d - d**2)*(d**3 + 0*d**3 + 2*d**3) + 3*d**5 - 3*d**5 - d**5. -5*d**5 Expand 2*d - 1 + 1 + (0*d + d - 5*d)*(1 + 0 + 0). -2*d Expand (2 - 2 + 2)*(-2*y**3 - y + y)*(-16 - 17*y + 16). 68*y**4 Expand (0*j + 2*j + 0*j)*((-1 + 5 - 2)*(0*j + 3*j - 2*j) - j + 4*j - j). 8*j**2 Expand (0 + 3 - 2)*(-2*g + 4*g + 0*g + (3*g - 2*g + 0*g)*(1 + 0 - 6))*(1 + 5 - 5). -3*g Expand (2 - 4 + 6)*(-2*l**3 + 4*l**3 + 0*l**3)*(l**2 - 6*l**2 - 2*l**2). -56*l**5 Expand -s + 4*s - 4*s - 2*s + 0*s + 0*s + (-s + s - 2*s)*(4 + 1 - 3) - 2*s - 2*s + 6*s + 2*s - 2*s - s + 4 - 13*s - 1 - 1. -19*s + 2 Expand 4*r**3 + r**3 + 4*r**3 + (-5*r**2 + 4*r**2 + 4*r**2)*(r + 1 - 1). 12*r**3 Expand (0 + 2 + 0)*(5 + 7 - 5)*(-2*b + 4*b - 5*b). -42*b Expand (0 - 4 + 6)*(25*y - 21*y - 6 + 2). 8*y - 8 Expand (1 - 3 - 1)*(s**4 - 2*s**3 + 2*s**3) - 3*s**4 - 120 + 120. -6*s**4 Expand -2 + 3*g + 2 + (2*g + 1 - 1)*(4 - 1 - 2) + 5 - 5 + 5*g. 10*g Expand (x + x - x)*(2*x + 2*x - 7*x)*((-6 + 4 + 4)*(4 - 5 + 3) - 3 + 16 + 0). -51*x**2 Expand -3*p**5 + 19*p**5 + 7*p**5 + (-4*p**4 + 4*p**4 - p**4)*(0 + p + 0). 22*p**5 Expand (5*g - 4*g - 8*g)*(-2*g**2 - 2*g**2 + 2*g**2). 14*g**3 Expand ((-2 - 3 + 7)*(-2*d + 6*d + 4*d) + d + 0*d - 2*d)*(3 - d - 3)*(-3*d - 2 + 2). 45*d**3 Expand (-2 + 3 - 3)*(-2*l + 0*l - 3*l) - l + 0*l + 2*l. 11*l Expand (-3*y**3 - 3*y**3 - 2*y**3)*(3*y + 0*y - 2*y + 3*y**2). -24*y**5 - 8*y**4 Expand (-3*a + 3*a - a)*(-4*a + 2*a + 3*a) - 2*a**2 + 0*a**2 + a**2 + 1. -2*a**2 + 1 Expand (4*t**2 + 0*t**2 + 5*t**2)*(3*t**2 + t - t). 27*t**4 Expand (6*o + 5*o - o)*(0 - 2 + 1)*(2*o + o - 4*o). 10*o**2 Expand (-3*s
{ "pile_set_name": "DM Mathematics" }
+ 0 + 1 + 2 -3 Evaluate -6 - -1 - ((0 - 0) + 1). -6 6 + (-3 - (9 + -6 + 1)) -1 Calculate (6 - -3) + 2 - 13. -2 What is the value of 4 - (-3 + 4 + -1 + 4)? 0 Evaluate 14 + -7 - 12 - -11. 6 What is 3 + 2 + -5 + -1 + 3? 2 Evaluate 2 - ((8 - 14 - -22) + -8). -6 Evaluate -3 + (-6 - -11) - 0 - 5. -3 What is (-1 - -3 - -1) + (56 - 57)? 2 Calculate 0 + (3 - -2) - 6 - -5. 4 Evaluate (-6 + 6 - -5) + 4 - 2. 7 What is 1 - 6 - (7 + (-12 - -5))? -5 What is -2 - -5 - (16 - 13)? 0 Calculate 1 + 2 + (-9 - (-8 - -7)). -5 What is the value of -2 - (1 - 6) - (4 - 9)? 8 -4 + (-4 - (4 + -13)) 1 What is the value of 4 - 6 - (-10 + 2 + 3)? 3 Evaluate 6 + 2 + -4 + 0. 4 Calculate (-1 - -1) + -2 + (5 - 1). 2 Evaluate 1 + (0 - 5) - -5. 1 What is (0 - 3 - 2 - -8) + 1? 4 Evaluate 9 + (-8 - 4 - 0). -3 Calculate (-45 - -54) + (-1 - 9). -1 What is the value of 16 + (4 + -3 - 9)? 8 (-2 - (-8 - -16)) + 3 -7 Evaluate (10 - (-1 + 8)) + -3. 0 Evaluate 0 + 4 - (-2 + 3 + -2). 5 Calculate (0 + 2 - (-6 + 9)) + 4. 3 What is -5 + (-2 - -9) + 5? 7 What is the value of (2 - -5 - 5) + 3? 5 What is -3 - (2 - 13) - 3? 5 Evaluate -6 - (6 + -9) - 0. -3 -5 - (0 + -1 + -23 + 19) 0 What is the value of 5 - (-7 + 5 - (1 + 1))? 9 What is the value of -4 - (-3 + 5) - (8 + -10)? -4 Evaluate (0 - -3) + -7 + 5. 1 Calculate 11 + -9 + -3 + -1 + 5. 3 What is the value of -1 - (1 - 7 - -2)? 3 What is the value of (0 - -4) + (18 - 18 - 3)? 1 Evaluate -2 + 8 - (0 + 9). -3 What is the value of 3 + (-3 - (2 + -4))? 2 What is 53 + -50 + (-1 - (2 - 0))? 0 Calculate 6 + (4 - 6) + -13. -9 What is (0 - (-5 + -2)) + -5? 2 What is the value of -1 - (-7 + 8 - -4)? -6 -12 + 10 - (2 - 5) 1 What is the value of (-3 - -4) + 6 + -10? -3 What is -1 - -6 - (117 + -111)? -1 Calculate -3 + 3 + 7 - 11. -4 Evaluate 1 + 3 - 1 - 3. 0 What is the value of 23 + -24 + 1 + 2? 2 Evaluate (-6 - 1 - -1) + -7 + 9. -4 Calculate -1 + (2 + 2 - 2) - -2. 3 Calculate 3 + 10 + 0 + -23. -10 Evaluate -2 + (7 - 3) + (-5 - 1). -4 Evaluate (-4 - -1) + 0 + 4. 1 1 + -1 - (-14 - -21 - 3) -4 Calculate -2 + 0 + -4 + 5. -1 What is -3 - (3 + -6 + -6) - 4? 2 What is 9 + -14 - (-1 - 0)? -4 What is the value of -7 + -6 + 6 - -4? -3 What is the value of -14 - (-5 + (0 - 1))? -8 What is 0 - (4 - 1) - (17 + -15)? -5 Calculate -3 - -15 - (2 + 7). 3 -50 + 44 + (0 - -4) + -1 -3 What is 3 + (-8 + 12 - 3)? 4 Calculate -11 + (8 - -6 - 2). 1 Evaluate (-2 - (-5 - -5 - 2)) + -3. -3 ((-3 - 0) + -1 - 0) + -3 -7 What is 71 - 71 - (-8 - 2)? 10 What is the value of (16 - 7) + (-1 - 7)? 1 -2 + (4 + -10 + 3 - -10) 5 Calculate 0 + 0 + -7 + 8. 1 What is the value of -7 + 5 + -5 + 5? -2 What is the value of 5 - (1 - (-3 - 6)) - 2? -7 What is the value of -9 + 4 + (-4 - -13)? 4 Evaluate -4 + (5 - 3) + -1 + 4. 1 What is 5 - 8 - (1 - 3) - 4? -5 What is the value of (17 - 15) + -5 + -4? -7 What is -33 - -26 - (-1 - 0)? -6 9 - ((-5 - 4) + 17) 1 What is (1 - 1 - -4) + -8? -4 (2 + -1 - (1 + -3)) + 2 5 What is the value of -15 + 19 - (6 - 2)? 0 Evaluate -30 + 24 - (1 + -3). -4 -8 + 3 + 0 + 3 -2 8 + -9 + (0 + 2 - -1) 2 What is 4 + (-4 - -4) + 0? 4 Calculate (-23 - -24) + (3 - 1). 3 What is 1 + 2 + (-17 - -15)? 1 Calculate (-1 - 0) + -2 + (4 - 3). -2 What is (-14 - -11 - 3) + -2? -8 2 - (-11 + 11 - (-4 - 0)) -2 Calculate -14 - -11 - ((-1 - 4) + -1). 3 Evaluate -4 - (-4 + -2 + 7). -5 Calculate 3 - (0 + -6 + 5 + 4). 0 What is the value of 28 + -26 - (-2 + -3 - -3)? 4 Evaluate 1 + -3 + 4 - 2. 0 -7 + 5 - (-3 + 4) -3 Calculate -4 + (-3 - -8 - 5). -4 What is 3 + (-4 - -4) - (-1 - -3)? 1 Calculate -6 + 8 + -1 + -2 + 0. -1 Evaluate 12 + -18 + -3 + (-2 - -2). -9 Calculate -9 + 3 - -9 - 5 - -7. 5 51 + -72 + (14 - 3) -10 Evaluate 2 + 2 + (-5 - (-1 + -2)). 2 (-2 + -7 - 1) + 5 -5 What is the value of 4 + (-1 - -3) + -3 + -6? -3 Evaluate (-5 - -2) + (8 - (7 - 10)). 8 What is -12 + 0 - (-1 - (-10 - -14))? -7 2 + -2 + 5 - 4 1 Evaluate (11 - (-10 - -33)) + 3. -9 (-34 - -33) + (-2 - 0 - 1) -4 1 + 1 + -3 + -4 -5 (0 - 5 - -3) + 4 - 1 1 -4 + -2 + 4 + 0 -2 What is -18 - -24 - (0 + 1)? 5 Calculate 14 + (-6 - (10 - 11)). 9 Calculate -4 + (-3 - -6) - 1. -2 Evaluate (-1 - 3) + -1 + 2 + 4. 1 What is -5 - -3 - (-1 - 1)? 0 (-24 - -28) + 2 + 2 8 Calculate 7 - (-2 + (14 - 0 - 7)). 2 1 - (3 - (-6 + 7 + -4)) -5 What is -6 + (-2 + -1 - -4)? -5 What is the value of 0 + -6 - (-7 + 4 + 2)? -5 What is (3 - 0) + (1 - 5)? -1 What is the value of 30 - 22 - (4 + 3 + -1)? 2 Evaluate -1 + 3 + -4 + (0 - 3). -5 Evaluate 2 - (1 + 1 + -2) - -3. 5 -3 - (0 + 7 + (-7 - -2)) -5 Calculate -1 + -8 + 4 + 0. -5 What is 10 + (7 + -8 - 4)? 5 What is -3 + 1 + (-6 - -9)? 1 8 + 0 + -1 - (0 + 0) 7 Calculate 6 + (6 - (14 - 2)). 0 Calculate (1 - 9) + -5 + 5. -8 Calculate (3 - (0 + 8)) + 2. -3 Calculate -3 - (1 + -2) - (0 + 2). -4 What is the value of -3 + ((-1 - -1) + -2 - -3)? -2 Calculate 3 - (0 - (-15 - -10)). -2 What is -4 - -2 - (2 + -4 - -8)? -8 What is (-13 - 0) + 8 - (0 - -1)? -6 -4 + 7 + (1 - 7) -3 What is -2 + -5 - (-6 + 8)? -9 What is the value of 1 - (-3 - -1 - 0) - 6? -3 What is the value of -1 + 1 - (-1 - 0 - 0)? 1 Evaluate (4 - -9) + -4 - 10. -1 Evaluate -6 - (-4 + 1) - (-2 + 4). -5 What is the value of -1 - (2 - 2 - (6 + 0))? 5 What is 2 + 6 + -1 - 4? 3 What is 6 + -2 - 8 - -2? -2 What is the value of 4 - (0 + (4 - 2))? 2 Calculate 72 + -77 + (11 - -2). 8 Evaluate (0 - -2) + -15 + 10. -3 Evaluate 13 - (0 + -6 - -13). 6 Evaluate 3 + -1 + (-6 - 2). -6 What is -2 + -1 + 10 + -7? 0 What is -5 + -1 + -9 + -13 + 27? -1 What is the value of -26 + 29 + (-1 + 2 - 1)? 3 Calculate -1 - (0 - 3) - -2 - 5. -1 What is the value of -3 - (-5 - -1 - -3) - -5? 3 Calculate 7 + -3 + (-2 - (-2 - -1)). 3 What is 12 - 0 - (89 - 84)? 7 Evaluate 8 + -16 + -11 + 26. 7 What is the value of -1 - (-7 - 2 - (-3 - 0))? 5 What is 5 - ((10 + -3 - 1) + -4)? 3 0 - (-2 + -4 + 5) 1 7 + -4 + -4 - -1 0 What is the value of -10 + (19 - 11 - 6)? -8 -2 - (7 - (-3 - 5 - -14)) -3 Evaluate (1 - -2) + 0 + 6 + -4. 5 What is (21 - 11) + 0 + -9 + 1? 2 Evaluate -4 - (2 - 3 - 3 - -2). -2 3 - -1 - -2 - (2 + -2) 6 Evaluate (0 - -1 - 1) + 22 + -19. 3 What is -5 + 0 + -2 + 5? -2 What is the value of 2 - (7 + -3) - (5 + -3)? -4 14 + (-14 - 0) - 9 -9 What is the value of 2 - (-4 - (2 + -2 + -4))? 2 What is the value of (-3 - (1 + -2)) + (10 - 4)? 4 What is 7 + (-3 - 3) - -6? 7 Calculate 13 - (5 - -7 - -1 - 8). 8 What is the value of -1 + (-4 - (0 - 8)) + -6? -3 What is the value of 3 + 1 - (4 + 1 + -6)? 5 (6 - 9 - -9) + -5 1 What is -6 + -1 + (1 + 9 - 6)? -3 Calculate -6 - 3 - (7 + -13). -3 What is -1 - 2 - ((5 - 10) + 5)? -3 Calculate 1 + 1 + (0 - 1 - -1). 2 -1 + 3 - (16 + -11) -3 Evaluate (58 - 57) + 1 + -2 + 1. 1 What is the value of (17 - 17) + 6 + -2? 4 Calculate 3 - (1 + 3 - 2). 1 What is 24 + -40 - (-9 + 0)? -7 What is the value of (-153 - -170) + -8 + 1 + 0? 10 Calculate -6 - ((9 - (9 + -4)) + -9). -1 What is the value of 4 + -3 + -8 + 3? -4 What is the value of (9 + -1 - 2) + -6? 0 What is -1 + (3 - 5) - (-1 + -3)? 1 -4 - (-9 - (9 + -11)) 3 Evaluate -6 - (2 + 5) - -11. -2 What is 1 + -4 + (2 - 2 - -2)? -1 Evaluate -2 + (0 - -3 - -2) + 3. 6 Evaluate -3 + (-4 + 7 - 1). -1 Calculate 7 + (-2 - -2) + -2. 5 What is the value of (2 - -11) + -1 + 3 + -7? 8 What is 1 + (9 - 4) + -5? 1 What is the value of 5 - (3 + -1 - (-8 + 6))? 1 Evaluate 5 + (2 - (16 - 11)). 2 Calculate ((2 - 3) + -3 - 0) + 3. -1 10 + (14 - 20) - (10 + 0) -6 5 - (3 - (1 + 4 + -5)) 2 (-4 - 0) + -2 + 2 -4 What is 0 + -1 + -3 + -1? -5 Calculate (-1 - (-1 - 4)) + -71 + 73. 6 Evaluate (-16 - (-3 - 7)) + 4. -2 -6 + (-8 - -5) + 11 2 (6 - -3) + (-5 - 0) - -1 5 What is -4 + -7 + 0 + 5? -6 -8 - -12 - (1 - -3) 0 What is the value of 6 - (-5 + 8) - (0 - 0)? 3 Calculate -2 + 5 + -2 + (0 - -1). 2 4 - (6 - 4) - 0 - -2 4 (19 - 3) + -4 + -6 6 What is -2 + (-1 - -4) + -2 + 3? 2 Evaluate (-3 - 5 - -8) + 2 - 0. 2 Evaluate -34 + 33 + (6 - 0). 5 0 - (6 - 4 - 7) 5 What is 5 + -1 + -2 - (5 + -2)? -1 Evaluate -2 + (7 - -5) - 11. -1 Calculate (4 + -4 - -2) + -1 + 2. 3 What is the value of -2 + 6 + -2 + 11 + -15? -2 What is (4 + -4 - 4 - -4) + -4? -4 Evaluate 2 - (-1 + 5 + -4) - 4. -2 Evaluate 5 - -2 - 10 - (1 - 3). -1 What is the value of 3 + (3 - 0) - 5? 1 What is the value of 2 - -2 - 2 - (3 + -5)? 4 What is (-8 - -10) + (-2 - -2 - -1)? 3 What
{ "pile_set_name": "DM Mathematics" }
at is prob of sequence oco? 55/546 Calculate prob of sequence iixi when four letters picked without replacement from kiikkxikii. 1/84 Two letters picked without replacement from {u: 9, e: 9}. What is prob of sequence eu? 9/34 Two letters picked without replacement from {u: 9, f: 4, o: 4}. Give prob of sequence uo. 9/68 Four letters picked without replacement from {v: 11, f: 2}. Give prob of sequence vfvv. 3/26 Calculate prob of sequence pxv when three letters picked without replacement from {x: 1, p: 2, d: 4, v: 2, c: 6}. 2/1365 Three letters picked without replacement from {p: 1, t: 3, h: 4, j: 1, z: 2, a: 1}. What is prob of sequence thp? 1/110 Four letters picked without replacement from {j: 5, e: 15}. Give prob of sequence ejje. 35/969 Two letters picked without replacement from {t: 1, b: 6, q: 1, g: 6, n: 4}. What is prob of sequence tn? 2/153 Two letters picked without replacement from pnnpnnnpnnnnnnppnnn. Give prob of sequence pn. 35/171 Three letters picked without replacement from {q: 2, w: 18}. Give prob of sequence qww. 17/190 Three letters picked without replacement from {x: 2, u: 2, z: 6, f: 1}. Give prob of sequence xxu. 2/495 Four letters picked without replacement from ewvvzhhjz. What is prob of sequence zvvj? 1/756 Two letters picked without replacement from {t: 1, l: 6, e: 7}. What is prob of sequence le? 3/13 What is prob of sequence ls when two letters picked without replacement from zzsoznszzsszzsnnzzlz? 1/76 Two letters picked without replacement from {o: 3, e: 8, g: 6}. What is prob of sequence eg? 3/17 Four letters picked without replacement from {x: 8, u: 5}. What is prob of sequence uuxu? 4/143 Two letters picked without replacement from {c: 7, v: 6, d: 3, k: 1}. Give prob of sequence cd. 21/272 Calculate prob of sequence xdi when three letters picked without replacement from vxyhhdvi. 1/336 Two letters picked without replacement from thvthffvxhttfffh. Give prob of sequence xt. 1/60 What is prob of sequence jr when two letters picked without replacement from {j: 1, r: 2}? 1/3 Calculate prob of sequence ww when two letters picked without replacement from {f: 1, y: 2, m: 2, j: 3, w: 2, v: 2}. 1/66 Calculate prob of sequence mqd when three letters picked without replacement from {d: 1, q: 3, l: 1, i: 5, f: 2, m: 1}. 1/572 Calculate prob of sequence of when two letters picked without replacement from ozufuf. 1/15 Three letters picked without replacement from {o: 1, f: 5, e: 1, p: 2}. What is prob of sequence pop? 1/252 Two letters picked without replacement from {w: 14, k: 1}. Give prob of sequence kw. 1/15 Calculate prob of sequence llln when four letters picked without replacement from llnln. 1/10 What is prob of sequence dd when two letters picked without replacement from dddddrssrs? 2/9 Two letters picked without replacement from rjg. What is prob of sequence rg? 1/6 Three letters picked without replacement from {f: 3, e: 1, v: 1, q: 3, y: 5, o: 6}. What is prob of sequence yoy? 20/969 Calculate prob of sequence xkk when three letters picked without replacement from xkxkkkxkkkxkxxxk. 3/20 Calculate prob of sequence mgg when three letters picked without replacement from mmggmmmmmm. 1/45 Two letters picked without replacement from {b: 1, t: 3, u: 5}. What is prob of sequence uu? 5/18 What is prob of sequence hy when two letters picked without replacement from xhrrrrhhxhyhyry? 1/14 What is prob of sequence vtv when three letters picked without replacement from {t: 2, v: 3}? 1/5 What is prob of sequence bll when three letters picked without replacement from {b: 3, l: 4, q: 1}? 3/28 Three letters picked without replacement from jrllllmxjx. What is prob of sequence xrl? 1/90 Calculate prob of sequence rl when two letters picked without replacement from {l: 5, r: 3}. 15/56 Two letters picked without replacement from {k: 6, a: 2}. What is prob of sequence kk? 15/28 What is prob of sequence wjww when four letters picked without replacement from wjwwwjwwww? 2/15 Three letters picked without replacement from {n: 2, f: 1, i: 1}. What is prob of sequence nni? 1/12 Calculate prob of sequence fbfm when four letters picked without replacement from bffbmbbmbab. 1/330 Four letters picked without replacement from {n: 3, i: 2, r: 5, z: 3, k: 3}. What is prob of sequence rnnr? 1/364 What is prob of sequence kku when three letters picked without replacement from {k: 2, a: 2, u: 1}? 1/30 Four letters picked without replacement from iiiiiiiii. What is prob of sequence iiii? 1 Four letters picked without replacement from {u: 5, h: 2}. Give prob of sequence hhuu. 1/21 What is prob of sequence ibii when four letters picked without replacement from abibbbbbbbibibbabbbb? 1/1292 Three letters picked without replacement from {k: 2, h: 2, z: 4, i: 1, n: 3}. What is prob of sequence nkh? 1/110 Calculate prob of sequence cro when three letters picked without replacement from {o: 3, a: 2, x: 4, d: 1, r: 2, c: 6}. 1/136 What is prob of sequence jjjj when four letters picked without replacement from {j: 4, l: 10}? 1/1001 Three letters picked without replacement from {v: 5, l: 2, s: 3, c: 5}. What is prob of sequence slv? 1/91 Four letters picked without replacement from ggqhhgkgqghgdfqgkgg. What is prob of sequence dgkh? 3/5168 Three letters picked without replacement from nnn. Give prob of sequence nnn. 1 Two letters picked without replacement from {n: 3, c: 1, x: 2, i: 5, d: 1, w: 1}. Give prob of sequence nc. 1/52 Two letters picked without replacement from yynmyyyryfyyryyyy. Give prob of sequence yr. 3/34 What is prob of sequence gmg when three letters picked without replacement from ggm? 1/3 What is prob of sequence hh when two letters picked without replacement from {w: 3, c: 1, j: 4, h: 3, q: 3, t: 1}? 1/35 Calculate prob of sequence jswh when four letters picked without replacement from {j: 2, h: 2, x: 4, w: 3, s: 2}. 1/715 Two letters picked without replacement from {x: 1, y: 1, q: 9, k: 3, n: 4}. What is prob of sequence yq? 1/34 What is prob of sequence hhhh when four letters picked without replacement from {h: 6}? 1 What is prob of sequence lsb when three letters picked without replacement from {s: 3, b: 2, l: 3}? 3/56 Calculate prob of sequence fmm when three letters picked without replacement from mmffffmfffmfff. 5/91 Three letters picked without replacement from {e: 1, f: 2, w: 1, u: 1}. What is prob of sequence ffu? 1/30 Calculate prob of sequence gv when two letters picked without replacement from gkgkkvukkvkkk. 1/39 Calculate prob of sequence si when two letters picked without replacement from nsvyyvynvnyniyvvvvso. 1/190 Four letters picked without replacement from {m: 5, g: 3, s: 1, x: 3, p: 1, z: 5}. What is prob of sequence xgzs? 1/1632 What is prob of sequence ng when two letters picked without replacement from {g: 1, x: 7, k: 4, a: 2, n: 4}? 2/153 Calculate prob of sequence jkv when three letters picked without replacement from {k: 5, j: 6, v: 5, t: 3, f: 1}. 5/228 Calculate prob of sequence wx when two letters picked without replacement from {d: 6, w: 1, h: 6, e: 1, c: 1, x: 1}. 1/240 Calculate prob of sequence wg when two letters picked without replacement from cjwjwppwgwp. 2/55 Four letters picked without replacement from {h: 1, c: 2, g: 4, m: 2}. What is prob of sequence hcgm? 1/189 Two letters picked without replacement from tfffjjjjajajmj. Give prob of sequence ff. 3/91 What is prob of sequence gj when two letters picked without replacement from gggjqqoqoqqt? 1/44 What is prob of sequence hool when four letters picked without replacement from {v: 4, h: 2, g: 1, o: 3, x: 3, l: 2}? 1/1365 What is prob of sequence gg when two letters picked without replacement from {g: 6}? 1 Four letters picked without replacement from {t: 6, n: 7}. What is prob of sequence tntt? 7/143 What is prob of sequence mzmm when four letters picked without replacement from {z: 1, m: 7}? 1/8 Calculate prob of sequence bbsb when four letters picked without replacement from {b: 5, m: 1, q: 1, s: 1, j: 3}. 1/132 Two letters picked without replacement from {b: 2, i: 1, d: 14}. What is prob of sequence bb? 1/136 Three letters picked without replacement from ckleckmllc. Give prob of sequence ccl. 1/40 What is prob of sequence zk when two letters picked wit
{ "pile_set_name": "DM Mathematics" }
n 34 is divided by v? 4 Let n = 7 + 2. Suppose 636 + 1493 = z. Suppose z + 349 = 14*o. Calculate the remainder when o is divided by n. 6 Let n(h) = 71*h - 326. What is the remainder when n(7) is divided by 84? 3 Suppose -45*s = 107*s - 61864. Calculate the remainder when s is divided by (-2)/6 - 372/(-9). 38 Suppose 5*n - 6*n + 163 = 0. What is the remainder when n is divided by 57 + (-9 - 3) - 10? 23 Suppose -12*s - 2*z = -7*s - 2175, -1284 = -3*s + 3*z. Calculate the remainder when s is divided by 98. 41 Suppose -39156 = -14547*d + 14535*d. Calculate the remainder when d is divided by 102. 101 Suppose -5*s = i - 673, -5*s - 4*i - i = -665. Let a(f) = -f**2 - 7*f - 10. Let n be a(-14). Let d = -74 - n. Calculate the remainder when s is divided by d. 33 Suppose 1064 - 1552 = -34*j + 1484. What is the remainder when 187 is divided by j? 13 Let z = -289 - -292. What is the remainder when 88 is divided by z + -1 - 8*14/(-4)? 28 Suppose -25*a + 59*a - 204 = 0. Calculate the remainder when 186 is divided by a. 0 Suppose 310*v - 1812 = 298*v. Calculate the remainder when 161 is divided by v. 10 Suppose 1145 - 1964 = -4*i + t, -2*i + t + 407 = 0. What is the remainder when i is divided by 109? 97 Suppose -2*v + 2*f = -14, 2 = -v - f + 1. Calculate the remainder when v*6*(-150)/(-60) is divided by 27. 18 Let o(g) = -7*g**3 - 10*g**2 - 19*g - 13. Calculate the remainder when 485 is divided by o(-3). 56 Let j(d) be the third derivative of 1/24*d**4 + 0 + 0*d + 17/60*d**5 + 0*d**3 + 15*d**2. What is the remainder when 43 is divided by j(-1)? 11 Suppose -19*j = 426 - 806. Calculate the remainder when 1198 is divided by j. 18 Let l = 2661 + -2522. Calculate the remainder when l is divided by 16. 11 Suppose -2*r = 2*s + 2*r - 56, 0 = -3*s + r + 70. What is the remainder when 4*(-8 - (-9 - -2)) + (-616)/(-2) is divided by s? 16 Suppose 153*r - 308 = -3*c + 149*r, -4*c + 5*r + 452 = 0. What is the remainder when 1204 is divided by c? 16 Let g be (-5)/10 + (-3)/(-6). Suppose g = -s + 13 + 39. Suppose -20 = 4*n - s. What is the remainder when n is divided by 4? 0 Calculate the remainder when (22/(2552/(-435)))/((-2)/1816) is divided by 142. 139 Let h be -3 - 12 - (-4 - -8). Let r = h + 20. What is the remainder when -9*13*r/(-3) is divided by 14? 11 Let c(w) = -w**2 - 497*w - 3885. Calculate the remainder when 7910 is divided by c(-8). 26 Let g be (-5 - (-45)/10)/(2/(-20)). Let z(v) = 2*v**2 - 7*v - 6. What is the remainder when 132 is divided by z(g)? 6 Suppose 314 + 2299 = 13*u. Calculate the remainder when u is divided by 93. 15 Let h(v) = -3*v + 22. Let p be h(5). Suppose -282 = -13*n + p*n. What is the remainder when n is divided by 7? 5 Suppose 3*x - 37 - 8 = 0. Let i be 4/(-6) + 85/x + -5. Suppose 5*g - 20 = i, 0*p - 2*p = g - 130. Calculate the remainder when p is divided by 25. 13 Suppose -2*t + 14 = -5*v + 48, 0 = 2*v - 4*t - 20. Suppose 5*m + 540 = 5*h, h + m - 102 = -0*m. What is the remainder when h is divided by 20 + -4*3/v? 15 Let t be (-294)/2*(-50)/(-15). Calculate the remainder when 67 is divided by (8/(-14))/(20/t). 11 Let d = 1349 + -1340. Calculate the remainder when 163 is divided by d. 1 Let t(h) = h**3 - 25*h**2 + 44*h - 44. Let y be t(23). Let b = y + 144. Calculate the remainder when b is divided by 11. 10 Calculate the remainder when (-27 - 3990/(-147))*21469 is divided by 3. 1 Let n = 6334 - 5616. What is the remainder when n is divided by 243? 232 What is the remainder when (-4)/(-52) + 20589/39 is divided by 522? 6 What is the remainder when (4 + -13 - -7)*(17 + -712) is divided by 62? 26 Suppose 0 = -3*w + y + 61, 5*y - 52 = 9*w - 11*w. Calculate the remainder when 116 is divided by w. 11 Let u = -122 + 127. Suppose 66 = k + u. What is the remainder when k is divided by 31? 30 Let k(b) = 8*b**2 - 13*b - 31. Let x(z) = -z**3 - 2*z**2 + 5*z + 2. Calculate the remainder when k(6) is divided by x(-5). 23 Calculate the remainder when (-3289)/(-308)*4 - 12/(-42) is divided by 15. 13 Suppose 5020 = 4*l - 3*p, -6*l - 2510 = -8*l - 5*p. What is the remainder when l is divided by 75? 55 Let n(x) = -52*x + 223. What is the remainder when 4857 is divided by n(4)? 12 Let k = -26077 + 26090. Suppose -2*h = -6*h + 516. Calculate the remainder when h is divided by k. 12 Let l(f) = -9*f + 93. Let i = -255 + 261. What is the remainder when 112 is divided by l(i)? 34 Suppose o + 130 = 5*r + 2*o, -5*r = 4*o - 145. What is the remainder when (193 - 2)*(-24 + r) is divided by 39? 35 Let o be ((99/(-12))/11)/(9/(-24)). Suppose 127 = 2*u - l, -19*l + 15*l - 118 = -o*u. What is the remainder when u is divided by 22? 21 Calculate the remainder when 601 is divided by (-9)/(243/(-387))*(-2 - -5)*1. 42 Suppose -q = -5*q - 4*d + 84, -4*q = -4*d - 84. What is the remainder when (-226)/(-4) - 4420/(-1768) is divided by q? 17 Let j be -1*2/(-5) - 6/15. Let h be (2 - 3/1)*(j + 25). What is the remainder when (h/(-5) - 9)/((-1)/10) is divided by 6? 4 Suppose -3*r + 563 = b, -5*r + 945 = -4*b - b. Let m(k) = 6*k - 78. What is the remainder when r is divided by m(21)? 44 Let f = 63 + -30. Let j(l) = -2*l**2 + 327 - 11*l + 4*l**2 - 4*l**3 - 355. What is the remainder when j(-3) is divided by f? 32 Let p = 1784 + -1554. Suppose -2*l + 3*c = -106, -l + 45 = -3*c - 2. What is the remainder when p is divided by l? 53 Suppose 170 = 5*c + 5*z, 59*z - 61*z = 5*c - 161. What is the remainder when 703 is divided by c? 21 Suppose 9*x - 40*x = -15438. Calculate the remainder when 518 is divided by x. 20 Suppose 3 = s + 1. Let p be s/(-1) - (-137 - -1). Suppose 0 = x - 5*j - p, -x = -3*x + 2*j + 308. What is the remainder when x is divided by 16? 15 Let z(b) = 6*b - 15. Let k(n) = n + 25. Let y be k(-19). Let c be z(y). Suppose -2*a - c = -3*a. What is the remainder when 40 is divided by a? 19 Let a(j) = j**2 - 8*j + 19. Suppose 26*c + 10 - 166 = 0. What is the remainder when a(c) is divided by 5? 2 Let o(u) = 7656*u - 45756. Suppose -4*d + 28 + 0 = 0. What is the remainder when o(6) is divided by d? 5 Suppose 0 = -k + 4*v + 44, 5*k - 265 = -4*v - 21. Let z(n) = -19*n - 2035. What is the remainder when k is divided by z(-108)? 14 Suppose -12*y = -196 - 32. Suppose 2*f + 5*x - 1 = 0, 2*x = -250*f + 246*f + 26. What is the remainder when y is divided by f? 3 Suppose 5*o + 2*u - 599 = -0*o, 4*o - u - 487 = 0. Suppose 4*t + 112 = 2*f, 3*f - 14 = -5*t + o. Calculate the remainder when 199 is divided by f. 49 Let z = 4 - -6. Suppose 0 = -z*y + 22*y - 156. Let k = 126 - 76. What is the remainder when k is divided by y? 11 Let d(x) = 351*x**2 + 45*x + 45. Let w(u) = -16*u**2 - 2*u - 2. Let k(h) = -2*d(h) - 45*w(h). Calculate the remainder when 34 is divided by k(1). 16 Suppose -1360 = 16*c + c. Calculate the remainder when -1 - -1 - 112*-1 is divided by 460/c*(-7 - (-2 - 1)). 20 Let s = 20050 - 19373. Calculate the remainder when s is divided by 172. 161 Let u(m) = 5*m**3 - 4*m**2 + 78*m - 557. What is the remainder when u(6) is divided by 12? 7 Let m = 58058 - 57977. What is the remainder when m is divided by 3 - (-17)/1*2? 7 Let c = 180 + -278. Let q = c - -128. Calculate the remainder when 119 is divided by q. 29 Suppose -1810 = -23*u - 476. Suppose 4*n - 3*y - 53 = -6*y, 2*y - u = -4*n. What is the remainder when n is divided by 2? 1 Let v(b) = b**3 + 26*b**2 + 27*b + 54. Let i be v(-25). Calculate the remainder when ((-1308)/(-18))/(i/6) is divided by 8. 5 Let w = 432 + -410. Suppose w*z = 2*z + 260. Calculate the remainder when 701 is divided by z. 12 Calculate the remainder when 559 is divided by (8 + -40)/(-2) - -97. 107 Let t = 2276 - 2272. What is the remainder when 223 is divided by t? 3 Let x(i) = i**3 - 8*i**2 + 11*i - 7. Let o be x(10). Suppose 0 = -8*n - o + 903. Calculate the remainder when n is divided by 39. 36 Suppose -4*k - 1 = 5*t - 32, 5*k = 3*t + 85. Suppose 355 = -k*m + 19*m. Calculate the remainder when m is divided by 17. 3 Suppose 4*x - 284 = 45*x - 5245. What is the remainder when 445 is divided by x? 82 Let j = 63 + -27. Suppose -j*u + 273 = -29*u. Suppose -4*z = 5*t - u, -5*z + 8*t + 59 = 4*t. What is the remainder when 41 is divided by z? 8 Suppose 55922 = 51*a - 44446. Calculate the remainder when a is divided by 29. 25 Let h(y) = -3*y**2 - 27*y + 23
{ "pile_set_name": "DM Mathematics" }
? False Suppose 2*b + 3 - 9 = 0. Suppose 301 = b*t - 137. Is 17 a factor of t? False Let p = -40 + 28. Let c = p - -21. Suppose -2*h + c + 3 = 0. Is h even? True Let v(w) = 17 - 2*w**3 + 5*w + 0*w**3 + 2*w**3 - 11*w**2 + w**3. Is v(11) a multiple of 13? False Does 3 divide 7/((-35)/(-220)) - 3? False Is ((-672)/(-80) - 6)/((-6)/(-320)) a multiple of 4? True Let g = -13 + 39. Suppose 0 = 4*l - 10 - g. Is l a multiple of 3? True Suppose -f - 24 = b, f + 4*b = -b - 32. Let d = 74 + f. Does 30 divide d? False Let j = -332 - 14. Does 38 divide (-4)/(3 + j/114)? True Let i = 6 + -6. Suppose h + h - 80 = i. Does 7 divide h? False Let z(p) = -4*p**3 + 55*p - 12. Is z(-7) a multiple of 11? False Suppose 3573 = 35*d - 38*d. Is 22 a factor of 2/7 - d/21? False Suppose -t - 3*t = 0. Let u = -1433 - -1431. Does 8 divide 30 + t/1 - u? True Let g = -3 + 7. Suppose -h = 0, h + 0 + g = 2*o. Suppose 3*w = -o*w - 10, w - 6 = -f. Is f a multiple of 4? True Suppose 2*g - 2 = 3*r, g + 5 = 5*r - 1. Suppose p - 6*j + r*j = 15, -4*j + 6 = 2*p. Is 4 a factor of p? False Suppose -149 = 3*x + 4*h - 137, -3*h = -4*x + 9. Suppose -5*i = 2 + 3. Does 9 divide (-37)/i - (x + 2)? False Let m(h) = h**2 + 2*h + 1. Let t be m(-3). Let p be 286/(-4) + 2/t. Let f = p - -104. Is f a multiple of 11? True Suppose 3*c = f - 274, -f = 5*c + 126 + 344. Let s be (c/(-9))/((-2)/(-12)). Suppose s = 2*q - 3*y - 20, -78 = -2*q + 2*y. Is q a multiple of 7? True Does 16 divide (-10)/(-4)*(-6 - (-7632)/15)? False Let o(z) = z**3 + 14*z**2 - 11*z + 11. Let c be o(-14). Suppose -5*k - 40 = -c. Does 9 divide k? False Let d be ((-13)/4)/(17/884). Let q = -121 - d. Let v = q - -9. Is 19 a factor of v? True Suppose 0 = 3*k - 5*p - 10, 0 = -2*k - 3*p - 8 + 21. Let s(w) = -3 + 2 - 5*w + 4*w**3 + 9*w**2 - k*w**3. Is s(8) a multiple of 5? False Suppose 3*w + 14 = 2*w. Does 11 divide 12/(-84) + (-310)/w? True Let h be 75/35 + 1/(-7). Suppose h*x = 404 - 52. Suppose 2*s + s + 2*c - x = 0, 5*c = -5*s + 290. Is s a multiple of 20? True Suppose -29512 = -34*i + 3*i. Is 68 a factor of i? True Suppose 7*v - 73 - 165 = 0. Suppose 0 = 3*o - 166 - 8. Let x = o - v. Is 19 a factor of x? False Let d(j) = 112*j + 12*j**2 - 38*j - 9 - 29*j - 34*j. Does 24 divide d(-4)? False Is -2 + (-28897)/(-11) + -5 a multiple of 20? True Suppose 40*c - 30*c = -3290. Let a = -179 - c. Is 10 a factor of a? True Suppose 2*q - 594 = 21*t - 25*t, -3*t + 903 = 3*q. Does 5 divide q? True Suppose 4*x = -0*x - 108. Let i = -6 - x. Is (-9)/21 + 576/i a multiple of 12? False Let r(m) = m**3 + 12*m**2 + 20*m + 4. Let h be r(-10). Suppose -h*k = -9*k + 225. Does 14 divide k? False Let r(k) = -k**3 + 8*k**2 + k + 8. Let y = 19 - 11. Is r(y) a multiple of 8? True Let p = 72 + -79. Suppose -2*w = -4*w + 90. Let n = w - p. Does 16 divide n? False Suppose 5*i = -3194 - 776. Let q be i/(-4) - 9/18. Suppose -5*l + 2 = -q. Is 20 a factor of l? True Let k be 2*(-6)/4 + 21. Suppose -21*f + 144 = -k*f. Is 9 a factor of f? False Suppose -14*b + 4560 = 5*b. Is 10 a factor of b? True Let p = -31 - -30. Does 39 divide 1166/10 + (p - 7/(-5))? True Suppose v = 4*v. Suppose v*y = -2*y. Suppose 2*d - 2*i - 14 - 10 = y, 5*i - 70 = -5*d. Does 13 divide d? True Let h(c) = 48*c + 689. Does 29 divide h(12)? False Suppose 3*p + 0*a - 1484 = -4*a, 5*p = -2*a + 2464. Does 14 divide p? False Suppose 0*j + 3121 = 5*k - j, 5*k = 5*j + 3125. Suppose -t - 3*t + k = 0. Does 41 divide t? False Suppose 2*w = -2*w - y + 1146, -3*y = -w + 280. Suppose w = 5*p + 26. Does 14 divide 4*(-2 - p/(-8))? False Let x(y) = 8*y**2 - 40 - 9*y + 19*y - 12*y. Is 12 a factor of x(6)? False Suppose -5*i = i - 3348. Suppose -3*b + 0*v + 412 = -4*v, -v - i = -4*b. Is b a multiple of 35? True Let i be 1108/3*9/6. Suppose -t + 2*m + 109 = m, -4*m + i = 5*t. Does 22 divide t? True Let i(u) = -u**3 + 4*u**2 - 2*u + 6. Let b be i(4). Let z = 77 + b. Suppose 0 = 4*h - h - z. Does 5 divide h? True Let f = 184 + -48. Suppose x - f = -3*x. Does 5 divide x? False Suppose -2*t + 3*d = -577, 3*t - 7*t = -2*d - 1174. Is t a multiple of 33? False Let a(c) = 11*c - c**3 + 6*c**2 - 45 + 50 + 4*c**2. Let q be a(11). Suppose 363 = 4*k + v, q*k - 437 = -2*v + 19. Is 15 a factor of k? True Suppose 0 = 5*f - 10*f + 30. Suppose 4*s - 70 = -f. Does 3 divide s? False Suppose -259*g = -265*g + 468. Is 39 a factor of g? True Let p(q) = 2*q**2 + q - 238. Let c be p(0). Let y = 442 + c. Is 53 a factor of y? False Let y be (1 + -2)*0 - 0. Suppose y = -3*d + 55 + 68. Does 8 divide d? False Let a(o) = -13*o + 3 + 11*o - 17*o. Does 21 divide a(-3)? False Suppose 12*n - 7*n + 1460 = 0. Let r = n - -418. Does 14 divide r? True Suppose -4*o + 904 = 5*l, -10*l - o + 732 = -6*l. Is 8 a factor of l? True Suppose -8*w + 5888 + 1928 = 0. Is 13 a factor of w? False Let j(r) = -r**3 - 2*r**2 - r - 10. Let i be j(-3). Suppose -5*w = i*m - 215, -4*w - 247 + 5 = -2*m. Is m a multiple of 21? False Let l(p) = -p**2 - 6*p + 6. Let u be l(-7). Let m = -67 + u. Let k = -32 - m. Is 9 a factor of k? True Suppose k = 67 - 22. Suppose -q = -4*q + k. Is q*(4 - (-4 + 3)) a multiple of 25? True Suppose 0 = -3*f + 2171 - 713. Suppose -f = -4*o + 2*o. Does 27 divide o? True Suppose 0 = s - 4*j - 260, 3*j = 1 + 5. Is s a multiple of 12? False Let k(o) = o**3 + 48*o**2 + 83*o - 102. Is 39 a factor of k(-46)? True Let z = -539 - -1020. Let o = z + -334. Is 21 a factor of o? True Let x(p) = 65*p - 26. Is x(7) a multiple of 5? False Is 41 a factor of 10/2 + -4 + 3940? False Let y be 2/3 + (-8)/(-6). Suppose 5*q - 73 = y*l, -2*q = 5*l + 15 - 50. Does 3 divide q? True Let i(b) = -b**3 + 10*b**2 - 8*b - 5. Let s be i(10). Let g = 121 + s. Does 15 divide g? False Let z be 1/(-4*3/(-5700)). Let m = z + -774. Is m/(-4) + 2/8 a multiple of 35? False Let k = 490 + -332. Suppose k = 3*l - 7*v + 2*v, 130 = 3*l + 2*v. Does 7 divide l? False Suppose -10 = 2*n, -2*n = 4*l + 2*n - 768. Suppose l + 19 = 4*r. Suppose 6*j - 36 = r. Does 11 divide j? False Does 3 divide (-722)/(-22) + 304/1672? True Suppose -r = -5*x + 25 + 235, -278 = r + 4*x. Let f be (48/10)/(12/r). Does 15 divide -1 - 5/(10/f)? False Suppose -2*r + 14 = -5*g - 16, -r - 2*g - 3 = 0. Suppose 0 = -r*j + 25. Suppose 3*l - 6*l + 3*q = -30, -j*q = 4*l - 58. Does 12 divide l? True Let w be (-32)/(-3)*21/14. Suppose 13 = -s + 6*s - 4*x, 5*s - w = 3*x. Suppose -s*i - 5 + 60 = 0. Is 11 a factor of i? True Let t(c) = -50*c - 235. Is t(-6) a multiple of 18? False Let t(b) = 5*b**2 - 18*b + 183. Does 23 divide t(13)? False Let q be ((-3)/2)/((-6)/8). Suppose -q*v + 11*v = 738. Is v a multiple of 41? True Suppose 0 = -3*b - 7 - 2, 2*m = -5*b + 69. Does 27 divide m*(-2)/(-21)*27? True Let i(y) = y**3 + 12*y**2 + 14*y + 14. Let c be i(-11). Let q = c - -27. Is 3 a factor of q? False Let k(h) = -2*h**2 - 74*h + 41. Is k(-29) a multiple of 49? False Suppose 0 = -5*m + k + 10672 + 1256, 7149 = 3*m + 2*k. Does 53 divide m? True Let n be -6*7/((-42)/4). Suppose -f = -n*f. Suppose -3*m + 41 + 1 = f. Does 11 divide m? False Let m be (-4)/(-6) + (-10)/6. Let r(k) = -2*k. Let x(i) = 6*i + 1. Let y(p) = 2*r(p) - x(p). Is y(m) a multiple of 4? False Let q(k) be the first derivative of 4*k**3 + 2*k**2 - 3*k - 13. Is 16 a factor of q(2)? False Suppose 0*l + 150 = 3*y + 4*l, 0 = 4*l. Is 6 a factor of 366/10 - 30/y? True Suppose -338 = 3*i - 5*i. Let d be (i/(-13))/(0 + 1). Let r = d + 79. Does 16 divide r? False Let z be 2316/72 - 2/(1 + 11). Let f = z + 55. Is 25 a factor of f? False Let c(v) = 6*v**2 - 5*v + 3. Suppose y - 14 + 12 = 0. Does 5 divide c(y)? False Suppose 14*f - 2293 - 5239 = 0. Does 12 divide f? False Let a(h) = -171*h - 17. Is a(-2) a multiple of 5? True Let t(l) = 68*l**2 - 2*l - 16. Is 6 a factor of t(-4)? True Suppose -2*g + 2*m = 122, 142 - 5 = -2*g + 5*m. Let v = -14 - g. Is 28 a factor of (-128)/12*v/(-8)? True Does 21 divide 35721/42*(-28)/(-21)? True Let x(r) = -r + 7. Let t be x(7). Suppose t*b = b - 7. Suppose -l + 13 = -b. Does 5 divide l? True Suppose -30816 = -27*o + 3*o. Is o a multiple of 6? True Let k = 321 - 103. Is k/3*(-6)/(-4) a multiple of 11? False Let u be 2/(-4) + (-969)/6. Let g = 192 + u. Does 3 divide g? True Suppose -24 + 264 = 5*f. Suppose 0 = -g - g + f. Is g a multiple of 8? True Supp
{ "pile_set_name": "DM Mathematics" }
d -107/234. 702 Calculate the common denominator of -19/48 and 45/28. 336 Find the common denominator of -41/16 and -57/1888. 1888 Find the common denominator of 1/224 and 71/1624. 6496 Calculate the least common multiple of 61 and 21. 1281 Calculate the lowest common multiple of 11124 and 4326. 77868 Calculate the lowest common multiple of 3 and 7180. 21540 What is the least common multiple of 10 and 221? 2210 What is the common denominator of 47/120 and -73/44? 1320 Calculate the smallest common multiple of 60 and 60. 60 Calculate the lowest common multiple of 11817 and 9. 11817 Find the common denominator of -37/112 and -169/84. 336 What is the smallest common multiple of 146 and 38? 2774 Find the common denominator of 53/174 and -53/14. 1218 What is the lowest common multiple of 32 and 1384? 5536 What is the smallest common multiple of 48 and 256? 768 What is the common denominator of 64/21 and 145/18? 126 Calculate the common denominator of 61/73568 and 41/10. 367840 Calculate the common denominator of 44/13 and -163/858. 858 Calculate the common denominator of -133/354 and 4/4425. 8850 Calculate the least common multiple of 26 and 5. 130 Calculate the least common multiple of 247 and 380. 4940 Calculate the smallest common multiple of 560 and 504. 5040 What is the smallest common multiple of 371 and 159? 1113 Calculate the common denominator of -151/4746 and 55/7119. 14238 Calculate the least common multiple of 4 and 72. 72 What is the least common multiple of 40 and 240? 240 What is the lowest common multiple of 998 and 22? 10978 What is the common denominator of -99/608 and -81/532? 4256 What is the common denominator of 95/4 and -61/230? 460 Find the common denominator of 15/128 and 21/592. 4736 Find the common denominator of 93/2182 and 33/2. 2182 What is the smallest common multiple of 132 and 176? 528 What is the common denominator of 81/8 and 3/436? 872 Calculate the common denominator of 85/188 and 107/22. 2068 What is the lowest common multiple of 192 and 30? 960 Calculate the smallest common multiple of 149 and 7. 1043 Calculate the common denominator of -169/84 and 91/36. 252 Calculate the lowest common multiple of 376 and 48. 2256 Calculate the common denominator of 139/6 and 131/1074. 1074 What is the lowest common multiple of 6 and 152? 456 Find the common denominator of 82/165 and -137/120. 1320 What is the least common multiple of 12753 and 3? 12753 Calculate the common denominator of 83/16 and -107/474. 3792 Find the common denominator of 109/162 and -55/243. 486 Calculate the least common multiple of 2496 and 52. 2496 Calculate the common denominator of 127/84 and 67/370. 15540 What is the smallest common multiple of 156 and 52? 156 Calculate the smallest common multiple of 15 and 500. 1500 What is the least common multiple of 747 and 581? 5229 Calculate the common denominator of 9/1430 and -67/10. 1430 Find the common denominator of -1/344 and -47/2752. 2752 Find the common denominator of 71/180 and 167/90. 180 What is the common denominator of -17/9 and -32/17? 153 What is the least common multiple of 96 and 240? 480 Find the common denominator of 37/58 and 1/174. 174 Calculate the least common multiple of 48 and 15. 240 Calculate the common denominator of 43/30 and 33/40. 120 What is the common denominator of -11/75 and -6/55? 825 Calculate the common denominator of -32/459 and -97/72. 3672 Calculate the lowest common multiple of 1320 and 320. 10560 What is the common denominator of -81/8 and 113/5520? 5520 What is the lowest common multiple of 5548 and 1168? 22192 Calculate the common denominator of -105/748 and 41/544. 5984 Calculate the lowest common multiple of 96 and 390. 6240 What is the common denominator of -19/9 and -23/930? 2790 Calculate the common denominator of 1/4 and -101/1492. 1492 Calculate the least common multiple of 480 and 256. 3840 What is the smallest common multiple of 252 and 63? 252 Calculate the lowest common multiple of 440 and 60. 1320 What is the least common multiple of 282 and 21? 1974 Calculate the lowest common multiple of 1331 and 1. 1331 Calculate the smallest common multiple of 770 and 110. 770 What is the smallest common multiple of 1039 and 6? 6234 Calculate the common denominator of -139/66 and 17/5352. 58872 What is the smallest common multiple of 5577 and 9? 16731 Find the common denominator of -93/188 and -19/100. 4700 What is the common denominator of -46/17 and -121/340? 340 Calculate the lowest common multiple of 1384 and 173. 1384 What is the smallest common multiple of 203 and 783? 5481 Find the common denominator of 49/120 and 85/3744. 18720 Find the common denominator of -47/11475 and 87/8. 91800 Calculate the common denominator of -89/2988 and 91/996. 2988 What is the common denominator of 67/36 and -65/48? 144 Calculate the smallest common multiple of 1440 and 9000. 36000 Calculate the lowest common multiple of 1760 and 8. 1760 Find the common denominator of -29/2830 and -109/10. 2830 What is the common denominator of -86/525 and -57/700? 2100 Calculate the smallest common multiple of 183 and 9. 549 What is the lowest common multiple of 4 and 42? 84 Calculate the least common multiple of 30 and 98. 1470 What is the common denominator of 79/90 and -73/468? 2340 Calculate the smallest common multiple of 12 and 44. 132 What is the least common multiple of 57 and 3? 57 What is the least common multiple of 165 and 1770? 19470 What is the lowest common multiple of 9 and 4284? 4284 What is the common denominator of -31/252 and -141/700? 6300 What is the common denominator of -2/27 and 59/183? 1647 What is the common denominator of -79/112 and -33/80? 560 What is the smallest common multiple of 108 and 12? 108 What is the lowest common multiple of 40 and 56? 280 Find the common denominator of -123/340 and -127/12. 1020 What is the common denominator of 13/166 and -17/20? 1660 What is the common denominator of -127/6 and -92/9375? 18750 What is the lowest common multiple of 24 and 57? 456 Calculate the smallest common multiple of 78 and 26. 78 Calculate the common denominator of 91/144 and 119/18. 144 Calculate the common denominator of 145/54 and 151/270. 270 Find the common denominator of -44/503 and -50/9. 4527 What is the least common multiple of 63 and 1638? 1638 Calculate the common denominator of -21/6556 and -67/596. 6556 What is the smallest common multiple of 228 and 171? 684 Find the common denominator of 13/4923 and -67/6. 9846 Calculate the least common multiple of 102 and 570. 9690 What is the lowest common multiple of 270 and 432? 2160 What is the smallest common multiple of 1220 and 122? 1220 Calculate the smallest common multiple of 108 and 2160. 2160 Calculate the common denominator of -133/6 and 101/255. 510 Find the common denominator of 33/2 and 43/492. 492 Calculate the smallest common multiple of 1029 and 2646. 18522 What is the lowest common multiple of 16 and 288? 288 Calculate the common denominator of 13/171 and 64/93. 5301 Find the common denominator of -47/3 and 14/783. 783 What is the smallest common multiple of 14 and 77? 154 What is the lowest common multiple of 120 and 220? 1320 What is the common denominator of -181/1302 and 113/1116? 7812 Calculate the least common multiple of 1251 and 556. 5004 What is the lowest common multiple of 220 and 792? 3960 Find the common denominator of -61/42 and -41/342. 2394 Calculate the smallest common multiple of 85 and 595. 595 Calculate the common denominator of -53/273 and -16/195. 1365 Find the common denominator of -95/22 and 1/4114. 4114 Calculate the lowest common multiple of 24 and 60. 120 Find the common denominator of -53/56 and 55/8. 56 What is the common denominator of 20/11 and 57/2588? 28468 Find the common denominator of -35/24 and 157/30. 120 What is the lowest common multiple of 1395 and 558? 2790 What is the common denominator of 61/418 and 115/418? 418 What is the smallest common multiple of 28 and 5668? 39676 Find the common denominator of -33/64 and 5/4. 64 Find the common denominator of -131/774 and 73/946. 8514 Calculate the common denominator of 50/2111 and 35/6. 12666 Find the common denominator of -101/168 and -61/360. 2520 What is the smallest common multiple of 5894 and 8420
{ "pile_set_name": "DM Mathematics" }
(-4 + 3 + -6*((sqrt(800) - sqrt(800)*-2) + sqrt(800)))**2. 960*sqrt(2) + 460801 Simplify (-5 + sqrt(99) + sqrt(99)*-2)**2 - (-4 + sqrt(33)/sqrt(3) - (sqrt(44))**2*-1). 84 + 29*sqrt(11) Simplify (sqrt(11) - (2 + sqrt(44)) - (-3 + sqrt(44)/sqrt(4))) + (sqrt(99)*-3)**2 + 0. -2*sqrt(11) + 892 Simplify ((2*sqrt(360) + (sqrt(10) - 1*sqrt(1210)))/(1*sqrt(605) - sqrt(10)/sqrt(2)*4))**2. 8/49 Simplify (sqrt(88) - -5*(sqrt(88) + (sqrt(88) - sqrt(88)*-2) + sqrt(88)) - 5*sqrt(88)*2)/(sqrt(1152) - -2*sqrt(1152) - sqrt(1152) - (sqrt(64)*1)/sqrt(8)). 16*sqrt(11)/23 Simplify (6*(sqrt(14)/(-5*sqrt(2)) + sqrt(252)*2) + -1)**2. -708*sqrt(7)/5 + 877237/25 Simplify (3*(-6*(sqrt(242)*3 + -4) + 0))**2. -85536*sqrt(2) + 710856 Simplify (((sqrt(24) - sqrt(120)/(sqrt(20)/sqrt(4))) + (sqrt(24) - sqrt(144)/(-1*sqrt(6) - sqrt(6))))/(sqrt(288) - (sqrt(288) - -2*sqrt(288))*3))**2. 3/1024 Simplify (-2*sqrt(117)*5 + 3 + -5*(-1*sqrt(117) + 5))**2. 660*sqrt(13) + 3409 Simplify (6*((2*sqrt(110))/sqrt(2) - sqrt(55)))/(sqrt(891) - sqrt(891)*1*4). -2*sqrt(5)/9 Simplify sqrt(63)/(sqrt(81)/(sqrt(9) + sqrt(108)/sqrt(12)))*4*-6. -48*sqrt(7) Simplify (1*(sqrt(256) + sqrt(16)))/(sqrt(1152)*1 + sqrt(1152))*-2. -5*sqrt(2)/12 Simplify 6*((sqrt(171) - (sqrt(171) + sqrt(171)*-1*1))/((-1*sqrt(99))/sqrt(11)))**2. 114 Simplify (sqrt(72)/sqrt(324))/sqrt(216). sqrt(3)/54 Simplify (-5 + sqrt(80)*-2*3)**2 - (sqrt(60)/sqrt(192))**2*1*4. 240*sqrt(5) + 11615/4 Simplify 0 + ((sqrt(1331) + -2)**2 + -4 - sqrt(1331))*-5*-1. -275*sqrt(11) + 6655 Simplify -1*(3*((sqrt(136)*-2 + sqrt(136))/sqrt(8) + 3 + sqrt(34)/sqrt(2) + sqrt(17)))**2. -234 - 54*sqrt(17) Simplify (2*(-3 + (-2 + (-1*sqrt(5) - sqrt(5)) - (0 + sqrt(500))))*-3)**2 + 2. 4320*sqrt(5) + 26822 Simplify (sqrt(55)/(sqrt(5) - (sqrt(30)*-1)/sqrt(6)) + (2*(sqrt(77)*-2 + sqrt(77)))/sqrt(7))**2. 99/4 Simplify -4*(-1 + sqrt(275)) + 2 + (sqrt(1331)*1)**2. -20*sqrt(11) + 1337 Simplify (2*(sqrt(3388) + 5*(sqrt(3388) + -3))*-1*-1)**2. -15840*sqrt(7) + 488772 Simplify 1*(-1*sqrt(60)/sqrt(5))/(sqrt(20)/sqrt(5)*3). -sqrt(3)/3 Simplify (sqrt(10)/(sqrt(10)/sqrt(5))*6 - ((sqrt(5) - (0 + sqrt(500) - sqrt(5))) + 4))**2. -112*sqrt(5) + 996 Simplify (((sqrt(5) - sqrt(5)*1 - sqrt(5))*-4 - sqrt(5))**2 - sqrt(5)) + sqrt(5) + (sqrt(20))**2 + 1 - ((sqrt(125) - sqrt(125)*2)*-6)**2. -4434 Simplify (0 + sqrt(6292)*-2 - -6*(sqrt(6292) + (-2*sqrt(6292) - sqrt(6292))))**2. 1233232 Simplify (sqrt(119)/(2*sqrt(343)) - (-1*sqrt(68))/sqrt(4)*-3)**2. 28577/196 Simplify -1*(sqrt(7) + -4 + sqrt(7) + 4 + (3 + sqrt(28) - sqrt(7)))**2. -72 - 18*sqrt(7) Simplify (5 + -3*((0 + sqrt(325) - sqrt(325)) + -1))**2. 64 Simplify sqrt(28) + (sqrt(28)*1 + 2)**2 - (-1 + ((sqrt(7) + -1 + -2)**2 - sqrt(7))). 17 + 17*sqrt(7) Simplify 5*(4 + (sqrt(7)*3*-3*-3)**2 + 3). 25550 Simplify (2*sqrt(4000))/(sqrt(800)*-2)*-4. 4*sqrt(5) Simplify (4*sqrt(189)/(sqrt(21)/sqrt(3))*-3*3)**2. 34992 Simplify -1*sqrt(208) - (sqrt(208) + sqrt(13) + sqrt(13))*2 - -2*(sqrt(1053)*3)**2. -16*sqrt(13) + 18954 Simplify (-1*-2*(-3*(1 + sqrt(112)) - sqrt(112)*-2*6))**2. -864*sqrt(7) + 36324 Simplify (sqrt(240) + sqrt(240)*3)/sqrt(3) + 5 + (sqrt(45) + sqrt(45) + 0 - sqrt(5)). 5 + 21*sqrt(5) Simplify -3 + (sqrt(11) - (1 + sqrt(11) + sqrt(11)) - sqrt(11))**2*-1 + (sqrt(11) - 1*sqrt(66)/sqrt(6))*4. -48 - 4*sqrt(11) Simplify 5 + (-4*(sqrt(152) + sqrt(152)*2) + sqrt(152) - sqrt(152))/(sqrt(16)/sqrt(2)*3). -4*sqrt(19) + 5 Simplify (4 + 4*sqrt(304)*-5)*6*1. -480*sqrt(19) + 24 Simplify (5 + (sqrt(78) + sqrt(78)*-1)/sqrt(6) + -4 + sqrt(208) + -2)*4. -4 + 16*sqrt(13) Simplify 5 + 2 + -2 + (sqrt(1100)*2 - sqrt(1100))**2 + 1*sqrt(1100) + 1. 10*sqrt(11) + 1106 Simplify (-3*(sqrt(162) - (sqrt(162) + sqrt(162)*-2 + 5)) - ((sqrt(2) - sqrt(14)/sqrt(112)) + (sqrt(72)/sqrt(4))/sqrt(9)))**2. -3345*sqrt(2)/2 + 51529/8 Simplify (sqrt(833)*3 + -2 - sqrt(833) - (sqrt(833) - (2 + sqrt(833))*4))**2. 420*sqrt(17) + 20861 Simplify (3 + 0 + (sqrt(252) + (sqrt(252) - (0 + sqrt(252))) + 5)*-2)**2 + 2. 168*sqrt(7) + 1059 Simplify (-3 + -6*(1 + sqrt(153)) + 0)**2*-4*-1. 1296*sqrt(17) + 22356 Simplify ((sqrt(300) + -4)*2)**2 + 3 + (sqrt(24)/(sqrt(8)*-4) - sqrt(3)). -1285*sqrt(3)/4 + 1267 Simplify -5 + (1 + sqrt(72) + -5 - (sqrt(16)/((sqrt(160) + sqrt(40))/sqrt(5) + sqrt(8)))**2). -73/8 + 6*sqrt(2) Simplify ((-4*(sqrt(121) - -1*sqrt(121))*6)/((-3*2*sqrt(132))/sqrt(12))*5)**2. 17600 Simplify 3 + 2*(-1 + 5 + -2 + sqrt(153) + 1*(-1 + sqrt(17))). 5 + 8*sqrt(17) Simplify (-2 + sqrt(80) + -3 + sqrt(80) + sqrt(80) - (sqrt(80) - (sqrt(80) + -2)*-2))**2. 1 Simplify (sqrt(140)/(sqrt(20)/sqrt(4)))**2 + sqrt(252) + 0 + 2. 6*sqrt(7) + 30 Simplify ((-4 + sqrt(99))*-2 + sqrt(66)/sqrt(6)*2*-1)**2. -128*sqrt(11) + 768 Simplify -5*4*(sqrt(3888)*2 - sqrt(3888))/((sqrt(108)/sqrt(2))/sqrt(6)). -240*sqrt(3) Simplify ((-3*sqrt(7920)*-2)/(sqrt(180) + -2*1*sqrt(180)))**2. 1584 Simplify ((-3 + sqrt(104)/(-2*sqrt(8)) + -1)*-3)**2. 36*sqrt(13) + 693/4 Simplify (-2*sqrt(400))/(sqrt(12)/(-5*sqrt(6))). 100*sqrt(2) Simplify -1*(sqrt(42)/(-2*sqrt(2)) + sqrt(21) - sqrt(21))/(sqrt(147)*3). sqrt(7)/42 Simplify (-4 + (-4 + (sqrt(75) - (sqrt(75) + -1*sqrt(75))) - (3 + sqrt(75)*2)))**2. 110*sqrt(3) + 196 Simplify ((sqrt(132) + 1*sqrt(132)*1)/sqrt(11))/(2*-2*sqrt(150)). -sqrt(2)/10 Simplify (1*(2 + -3 + sqrt(567)))**2 + (sqrt(567) + 6*(-3 + sqrt(567) - sqrt(567)) + 0)**2. -342*sqrt(7) + 1459 Simplify -3*(5 + (-5*((sqrt(162) + 2 - sqrt(162)) + sqrt(162) - sqrt(162)) + (-1 + sqrt(162) + sqrt(162))*-5)**2)*4. -194760 - 10800*sqrt(2) Simplify 3 + (0 + sqrt(5) + (sqrt(720)/sqrt(12))/sqrt(12) + 3)**2*1. 12*sqrt(5) + 32 Simplify ((-5*1*sqrt(832) - sqrt(832))*-6 + 5)**2 + -1. 2880*sqrt(13) + 1078296 Simplify ((sqrt(27)/(sqrt(3)*-1))/sqrt(3))**2 + sqrt(48) + -2*sqrt(48)*-5. 3 + 44*sqrt(3) Simplify (1*sqrt(4752)*2)/(6*1*sqrt(363)). 4*sqrt(11)/11 Simplify 1 + ((sqrt(264)/sqrt(32))/(sqrt(891) + (sqrt(891) - sqrt(891)*-2)))**2. 1729/1728 Simplify (-4 + 2 + -4 + (sqrt(1088))**2)*-6. -6492 Simplify ((-3*sqrt(2500))/sqrt(5))**2 + 1 + -3. 4498 Simplify sqrt(288) + ((sqrt(288) + -1)**2 - sqrt(288)) + 3 - (2*sqrt(242)*3)**2. -8420 - 24*sqrt(2) Simplify (4*(1*sqrt(175) + -3 + (5*2*sqrt(175) - sqrt(175))**2) + 5)*-5. -283465 - 100*sqrt(7) Simplify (sqrt(80)/sqrt(2)*6*-5)/(sqrt(8) + sqrt(32)/sqrt(36) - (((-2*sqrt(64))/sqrt(8) - sqrt(8)) + sqrt(8))). -9*sqrt(5) Simplify (-5*(4*sqrt(325) + sqrt(832) + 0 + 3))**2. 4200*sqrt(13) + 255025 Simplify (-6*(5 + (sqrt(153) - (sqrt(153) - (2*sqrt(153) + sqrt(153) + sqrt(153)))*2)/sqrt(9)*-2))**2. -5040*sqrt(17) + 120852 Simplify (-4 + sqrt(704) + (1 + 2 + sqrt(704))**2 + 0)*-3. -2127 - 168*sqrt(11) Simplify (sqrt(684)*-2*-5)**2*-2*-4*6. 3283200 Simplify ((sqrt(152) - ((sqrt(152) + -3*sqrt(152))*5 + sqrt(152))) + sqrt(152))/sqrt(8) - (-1 + (sqrt(171)/sqrt(144))**2). -3/16 + 11*sqrt(19) Simplify -2 + (sqrt(1088) + (1 + sqrt(1088))*2 - sqrt(1088) - (sqrt(153)/sqrt(144) + (sqrt(17) - (sqrt(17) - (1 + sqrt(17) + 5))))). -6 + 59*sqrt(17)/4 Simplify (5*1*sqrt(85) + sqrt(85) - sqrt(85))/(sqrt(405)*1) + 5. 5*sqrt(17)/9 + 5 Simplify -2 + 1 + (sqrt(2736) + 0 + 2 - (1 + 1 + sqrt(2736))). -1 Simplify (0 + 0 + 4 + sqrt(147) + sqrt(147)*-1 + -2)**2. 4 Simplify (-5 + -4*(-5 + -1 + sqrt(200) + 0 + sqrt(200) + -4))**2. -5600*sqrt(2) + 14025 Simplify (-4*-2*((sqrt(105)/sqrt(3))/sqrt(7) + 5 + -3 + sqrt(5))*6)**2. 18432*sqrt(5) + 55296 Simplify (-3*sqrt(468) - ((sqrt(117) - sqrt(117)*2)/sqrt(9))**2)*-3. 39 + 54*sqrt(13) Simplify (sqrt(20) + -5*(sqrt(20) + sqrt(20)*-2) + sqrt(20) + -5*sqrt(320))/(6*(sqrt(4) + 3*sqrt(8)/sqrt(2))). -13*sqrt(5)/24 Simplify (sqrt(204) - 2*(sqrt(204) - sqrt(204)*-2))/(-6*sqrt(12)*2)*1. 5*sqrt(17)/12 Simplify 4 + ((sqrt(1216) - (-1*(sqrt(1216)*-2 - sqrt(1216)) + sqrt(1216)))*-4)**2 + 0. 175108 Simplify (-1*-3*(sqrt(84)*1 - sqrt(84)))/(-5*3*sqrt(1452)). 0 Simplify sqrt(99)/(sqrt(27)/sqrt(3)) + -2 - (-4*sqrt(99) + (-1 + sqrt(11))*6). 4 + 7*sqrt(11) Simplify -4*(-1 + 1*sqrt(68) - (sqrt(68) - (sqrt(68) + -1)*4 - sqrt(68))). -40*sqrt(17) + 20 Simplify 1 + (2*-1*sqrt(19) - (-2 + (sqrt(475) - sqrt(19))**2))*5 + 1. -1508 - 10*sqrt(19) Simplify ((4 + (0 + sqrt(11) - sqrt(11)))**2 + (-4*sqrt(44)/sqrt(4))**2 - 5*(1 + sqrt(33)/sqrt(3)))*5. -25*sqrt(11) + 935 Simplify ((sqrt(153) + -2*sqrt(153)
{ "pile_set_name": "DM Mathematics" }
w many seconds are there in 1/6 of a hour? 600 What is seven thirds of a year in months? 28 Convert 721.6898 nanograms to micrograms. 0.7216898 How many years are there in five quarters of a millennium? 1250 How many minutes are there in one tenth of a week? 1008 How many hours are there in 13/8 of a week? 273 What is 32/5 of a tonne in kilograms? 6400 What is fifty-two fifths of a milligram in micrograms? 10400 What is 44.56521mg in micrograms? 44565.21 What is 3/8 of a litre in millilitres? 375 What is eighteen fifths of a century in decades? 36 How many centimeters are there in three tenths of a kilometer? 30000 What is 5532.316 grams in tonnes? 0.005532316 What is eighteen fifths of a litre in millilitres? 3600 How many seconds are there in one ninth of a week? 67200 What is seventeen quarters of a minute in seconds? 255 What is 12/25 of a gram in milligrams? 480 How many millilitres are there in one twentieth of a litre? 50 What is five quarters of a micrometer in nanometers? 1250 What is seventy-one thirds of a hour in minutes? 1420 What is 7/8 of a kilogram in grams? 875 How many years are there in 2.824122 centuries? 282.4122 How many seconds are there in 7/15 of a day? 40320 What is one tenth of a millennium in centuries? 1 How many millimeters are there in 13/5 of a centimeter? 26 How many nanograms are there in 21/8 of a microgram? 2625 What is 8122.088 micrograms in kilograms? 0.000008122088 What is 18.84244l in millilitres? 18842.44 How many months are there in 4.578381 centuries? 5494.0572 Convert 612710.6 decades to millennia. 6127.106 What is 4.594218 years in millennia? 0.004594218 How many litres are there in 0.6521055 millilitres? 0.0006521055 What is 7234.02t in nanograms? 7234020000000000000 What is 25/2 of a microgram in nanograms? 12500 How many decades are there in one fifth of a millennium? 20 What is 727.3943kg in nanograms? 727394300000000 How many months are there in one tenth of a millennium? 1200 What is one twentieth of a litre in millilitres? 50 How many nanoseconds are there in one twentieth of a microsecond? 50 What is seven eighths of a microgram in nanograms? 875 What is 711.3292l in millilitres? 711329.2 How many years are there in 1/20 of a millennium? 50 How many centuries are there in 0.9343847 decades? 0.09343847 How many millilitres are there in 8.257898l? 8257.898 How many years are there in 0.2811565 millennia? 281.1565 What is 3285.574m in nanometers? 3285574000000 What is eighteen fifths of a millennium in months? 43200 What is 4/15 of a millennium in months? 3200 How many grams are there in 231.008kg? 231008 What is 95244.61 micrometers in nanometers? 95244610 What is 8.255541m in micrometers? 8255541 What is 9.103221 decades in months? 1092.38652 What is 717.9432ng in kilograms? 0.0000000007179432 How many years are there in 11/4 of a millennium? 2750 What is 20.38226l in millilitres? 20382.26 What is 0.3858129 millennia in months? 4629.7548 What is 446823.2 kilograms in micrograms? 446823200000000 Convert 0.3728747 grams to tonnes. 0.0000003728747 Convert 651.409ng to micrograms. 0.651409 Convert 605550.8 weeks to hours. 101732534.4 What is six fifths of a millimeter in micrometers? 1200 How many kilograms are there in 0.730099 milligrams? 0.000000730099 Convert 2827.517 decades to millennia. 28.27517 Convert 12.522125 days to weeks. 1.788875 What is twenty-seven halves of a litre in millilitres? 13500 Convert 0.6434046 minutes to days. 0.00044680875 How many grams are there in 2.098984ng? 0.000000002098984 What is 61/2 of a minute in seconds? 1830 How many millilitres are there in 5/8 of a litre? 625 What is twenty-one quarters of a century in years? 525 What is 3/10 of a minute in milliseconds? 18000 What is 311.85ml in litres? 0.31185 How many hours are there in seven eighths of a week? 147 What is 0.641495 nanometers in millimeters? 0.000000641495 What is nine tenths of a day in seconds? 77760 How many years are there in 0.218249 millennia? 218.249 How many minutes are there in 11/7 of a week? 15840 How many nanoseconds are there in 17/4 of a microsecond? 4250 What is 11/8 of a litre in millilitres? 1375 What is 11/4 of a millimeter in micrometers? 2750 What is 29012.7m in kilometers? 29.0127 How many minutes are there in three eighths of a day? 540 How many millilitres are there in 8.773739 litres? 8773.739 What is seven quarters of a tonne in kilograms? 1750 How many millilitres are there in 6/5 of a litre? 1200 How many minutes are there in six fifths of a hour? 72 How many milliseconds are there in two fifteenths of a minute? 8000 How many nanograms are there in one quarter of a microgram? 250 How many millilitres are there in 31/5 of a litre? 6200 How many litres are there in 0.734152ml? 0.000734152 What is 258169.8 weeks in minutes? 2602351584 What is 487.4002 meters in micrometers? 487400200 What is 6/25 of a kilogram in grams? 240 How many kilograms are there in one fifth of a tonne? 200 How many microseconds are there in 49.37607ns? 0.04937607 How many millilitres are there in one twentieth of a litre? 50 What is 3/8 of a minute in milliseconds? 22500 What is twenty-five quarters of a tonne in kilograms? 6250 How many millilitres are there in 13/5 of a litre? 2600 What is 1/10 of a litre in millilitres? 100 How many millimeters are there in 527875.9 micrometers? 527.8759 What is 0.198617 minutes in milliseconds? 11917.02 What is 43821.51l in millilitres? 43821510 Convert 0.8314928 nanoseconds to seconds. 0.0000000008314928 How many millilitres are there in 3.512603l? 3512.603 How many seconds are there in 175.6453ms? 0.1756453 What is seventy-three quarters of a litre in millilitres? 18250 How many millilitres are there in 13.88199 litres? 13881.99 What is six fifths of a litre in millilitres? 1200 Convert 0.9024323 days to hours. 21.6583752 What is one sixth of a day in seconds? 14400 Convert 1.0977423 nanoseconds to minutes. 0.000000000018295705 How many millilitres are there in fourty-five eighths of a litre? 5625 How many micrometers are there in 37/5 of a centimeter? 74000 How many nanometers are there in 98.36836 micrometers? 98368.36 What is seven halves of a millennium in decades? 350 What is 794.047um in centimeters? 0.0794047 How many litres are there in 2146.971 millilitres? 2.146971 What is eleven eighths of a milligram in micrograms? 1375 What is 494891.8m in centimeters? 49489180 How many months are there in fifteen quarters of a millennium? 45000 What is 68.857 kilograms in tonnes? 0.068857 How many months are there in 45/4 of a decade? 1350 What is 21393.73 millennia in decades? 2139373 Convert 59.55825um to meters. 0.00005955825 How many nanometers are there in 3/10 of a micrometer? 300 What is 8.050226ng in micrograms? 0.008050226 What is 23/3 of a minute in seconds? 460 What is 27/5 of a litre in millilitres? 5400 What is 1/10 of a kilometer in meters? 100 What is three tenths of a millimeter in micrometers? 300 What is 7/2 of a millennium in years? 3500 How many kilograms are there in 67/4 of a tonne? 16750 What is 319.918ml in litres? 0.319918 What is 0.5239353 days in minutes? 754.466832 What is 3/5 of a litre in millilitres? 600 What is 5/4 of a tonne in kilograms? 1250 Convert 12877.041 microseconds to minutes. 0.00021461735 What is 88943.18 millilitres in litres? 88.94318 What is eighty-five quarters of a litre in millilitres? 21250 What is 27/5 of a millennium in decades? 540 What is one fifth of a millennium in centuries? 2 How many millilitres are there in twenty-six fifths of a litre? 5200 What is 11/4 of a gram in milligrams? 2750 What is 18.8458t in nanograms? 18845800000000000 How many millimeters are there in 3/5 of a meter? 600 How many litres are there in 60.0584ml? 0.0600584 How many micrometers are there in 0.000199 kilometers? 199000 What is eighteen fifths of a litre in millilitres? 3600 What is seventy-four fifths of a tonne in kilograms? 14800 What is 18861.489 seconds in hours? 5.2393025 Convert 0.9901134 grams to kilograms. 0.0009901134 What is 11/2 of a milligram in micrograms? 5500 Convert 173.8016ml to litres. 0.1738016 Convert 53950.24 meters to centimeters. 5395024 How many tonnes are there in 6750.986g? 0.006750986 What is 84910.
{ "pile_set_name": "DM Mathematics" }
s digit of 4569154? 1 What is the tens digit of 1802531211? 1 What is the ten thousands digit of 266775708? 7 What is the hundred thousands digit of 235626369? 6 What is the millions digit of 1030462372? 0 What is the thousands digit of 908111690? 1 What is the ten millions digit of 181782602? 8 What is the hundreds digit of 66318295? 2 What is the hundreds digit of 75127024? 0 What is the tens digit of 498863270? 7 What is the millions digit of 155476120? 5 What is the millions digit of 231388793? 1 What is the ten millions digit of 203394303? 0 What is the hundred millions digit of 3041018918? 0 What is the hundreds digit of 315057403? 4 What is the units digit of 512466868? 8 What is the ten millions digit of 466469315? 6 What is the thousands digit of 480288839? 8 What is the hundred millions digit of 115415920? 1 What is the units digit of 51990138? 8 What is the hundred millions digit of 4314389729? 3 What is the millions digit of 336432402? 6 What is the ten millions digit of 274493725? 7 What is the tens digit of 236432642? 4 What is the units digit of 66018608? 8 What is the tens digit of 1269539162? 6 What is the thousands digit of 32623853? 3 What is the millions digit of 95050191? 5 What is the millions digit of 1938461294? 8 What is the hundred thousands digit of 22198407? 1 What is the thousands digit of 2147933723? 3 What is the tens digit of 6873214201? 0 What is the hundreds digit of 400349452? 4 What is the billions digit of 4393827692? 4 What is the millions digit of 83341812? 3 What is the hundred millions digit of 1039389197? 0 What is the millions digit of 239578137? 9 What is the tens digit of 151770410? 1 What is the hundreds digit of 4800025667? 6 What is the hundred millions digit of 1070686928? 0 What is the hundreds digit of 56015195? 1 What is the units digit of 1310095411? 1 What is the thousands digit of 3942507? 2 What is the millions digit of 2064724525? 4 What is the billions digit of 2680046816? 2 What is the units digit of 322024840? 0 What is the hundreds digit of 445018784? 7 What is the hundred thousands digit of 32931796? 9 What is the ten millions digit of 1870295495? 7 What is the units digit of 138322032? 2 What is the hundreds digit of 463204380? 3 What is the units digit of 63846041? 1 What is the ten thousands digit of 28832975? 3 What is the hundred millions digit of 292691872? 2 What is the ten millions digit of 482328679? 8 What is the millions digit of 53851006? 3 What is the millions digit of 131045683? 1 What is the tens digit of 3354274288? 8 What is the ten thousands digit of 19680871? 8 What is the tens digit of 57574957? 5 What is the hundred thousands digit of 8090292? 0 What is the ten millions digit of 97144586? 9 What is the hundred millions digit of 100873687? 1 What is the hundred millions digit of 1040039010? 0 What is the ten millions digit of 734215150? 3 What is the hundreds digit of 590654169? 1 What is the thousands digit of 61560711? 0 What is the ten millions digit of 51583052? 5 What is the ten millions digit of 1073756431? 7 What is the units digit of 97111854? 4 What is the hundred millions digit of 2552099626? 5 What is the hundreds digit of 160935829? 8 What is the millions digit of 307088928? 7 What is the billions digit of 4508229357? 4 What is the hundreds digit of 304170746? 7 What is the hundred millions digit of 307145489? 3 What is the ten millions digit of 28705157? 2 What is the units digit of 557318453? 3 What is the millions digit of 38870651? 8 What is the thousands digit of 214138284? 8 What is the ten thousands digit of 55599386? 9 What is the hundreds digit of 55149347? 3 What is the hundred millions digit of 4934129386? 9 What is the units digit of 709490129? 9 What is the units digit of 1450363218? 8 What is the tens digit of 52210881? 8 What is the hundred thousands digit of 70222671? 2 What is the hundred millions digit of 7648363884? 6 What is the tens digit of 145602113? 1 What is the hundreds digit of 99485634? 6 What is the hundred thousands digit of 17777625? 7 What is the units digit of 289957179? 9 What is the thousands digit of 2139916336? 6 What is the ten thousands digit of 624357414? 5 What is the ten millions digit of 49141134? 4 What is the ten thousands digit of 675597339? 9 What is the thousands digit of 109103358? 3 What is the hundreds digit of 158489556? 5 What is the ten millions digit of 675356200? 7 What is the millions digit of 109036154? 9 What is the ten millions digit of 1260746045? 6 What is the millions digit of 3046150826? 6 What is the tens digit of 204589796? 9 What is the millions digit of 3790246787? 0 What is the ten thousands digit of 2333513385? 1 What is the tens digit of 1450644954? 5 What is the ten millions digit of 106489416? 0 What is the hundred millions digit of 665174782? 6 What is the hundreds digit of 1526930852? 8 What is the millions digit of 778112384? 8 What is the hundreds digit of 841527666? 6 What is the tens digit of 137057905? 0 What is the hundred thousands digit of 83728280? 7 What is the hundred thousands digit of 12922152? 9 What is the millions digit of 28285668? 8 What is the units digit of 385675919? 9 What is the billions digit of 1480417235? 1 What is the hundred thousands digit of 196459198? 4 What is the hundred millions digit of 6366241682? 3 What is the hundred thousands digit of 485121600? 1 What is the ten millions digit of 31302621? 3 What is the units digit of 46024535? 5 What is the hundreds digit of 586361967? 9 What is the ten thousands digit of 2090031623? 3 What is the hundred thousands digit of 47144594? 1 What is the thousands digit of 99328418? 8 What is the ten thousands digit of 276297379? 9 What is the units digit of 337916611? 1 What is the tens digit of 28585099? 9 What is the thousands digit of 22032469? 2 What is the millions digit of 4797056774? 7 What is the ten millions digit of 874735224? 7 What is the millions digit of 86705934? 6 What is the thousands digit of 84679598? 9 What is the ten millions digit of 46318437? 4 What is the millions digit of 84425016? 4 What is the units digit of 2042185548? 8 What is the units digit of 1000057901? 1 What is the hundred thousands digit of 30919932? 9 What is the hundred thousands digit of 156852789? 8 What is the ten millions digit of 18125574? 1 What is the hundreds digit of 207227898? 8 What is the hundreds digit of 127088288? 2 What is the units digit of 25156615? 5 What is the units digit of 35476538? 8 What is the hundred thousands digit of 566868308? 8 What is the hundred thousands digit of 7064329? 0 What is the hundred millions digit of 5066897421? 0 What is the tens digit of 246354435? 3 What is the hundreds digit of 698101779? 7 What is the hundred thousands digit of 5879893513? 8 What is the hundreds digit of 32002506? 5 What is the hundred millions digit of 231917795? 2 What is the hundred thousands digit of 1043128734? 1 What is the hundred millions digit of 542779978? 5 What is the units digit of 543167489? 9 What is the hundreds digit of 40857762? 7 What is the thousands digit of 272221232? 1 What is the hundred thousands digit of 525049529? 0 What is the hundred thousands digit of 31208118? 2 What is the millions digit of 2096929781? 6 What is the tens digit of 487576568? 6 What is the units digit of 384696685? 5 What is the ten thousands digit of 122833361? 3 What is the hundred thousands digit of 254408672? 4 What is the thousands digit of 411733614? 3 What is the ten millions digit of 88716687? 8 What is the hundreds digit of 50703383? 3 What is the units digit of 3858982617? 7 What is the tens digit of 454387080? 8 What is the billions digit of 1332504396? 1 What is the millions digit of 632946680? 2 What is the millions digit of 3805917? 3 What is the ten millions digit of 1119973199? 1 What is the ten millions digit of 39230534? 3 What is the ten millions digit of 91791085? 9 What is the units digit of 4477305449? 9 What is the hundred millions digit of 131851562? 1 What is the hundred thousands digit of 130480021? 4 What is the tens digit of 72103718? 1 What is the hundred millions digit of 604907616? 6 What is the ten thousands digit of 243000587? 0 What is the tens digit of 421992425? 2 What
{ "pile_set_name": "DM Mathematics" }
is divided by 25? 3 Calculate the remainder when 1078 is divided by 137. 119 What is the remainder when 111 is divided by 59? 52 Calculate the remainder when 7 is divided by 4. 3 Calculate the remainder when 16 is divided by 7. 2 Calculate the remainder when 335 is divided by 21. 20 Calculate the remainder when 736 is divided by 39. 34 Calculate the remainder when 8122 is divided by 239. 235 What is the remainder when 62 is divided by 28? 6 Calculate the remainder when 122 is divided by 44. 34 What is the remainder when 4336 is divided by 240? 16 What is the remainder when 1048 is divided by 16? 8 What is the remainder when 472 is divided by 119? 115 Calculate the remainder when 3963 is divided by 284. 271 What is the remainder when 365 is divided by 105? 50 What is the remainder when 1951 is divided by 107? 25 Calculate the remainder when 1801 is divided by 57. 34 Calculate the remainder when 710 is divided by 21. 17 What is the remainder when 182 is divided by 25? 7 Calculate the remainder when 3455 is divided by 19. 16 Calculate the remainder when 8639 is divided by 35. 29 What is the remainder when 46 is divided by 3? 1 What is the remainder when 1821 is divided by 16? 13 Calculate the remainder when 4171 is divided by 29. 24 What is the remainder when 975 is divided by 314? 33 What is the remainder when 262 is divided by 88? 86 Calculate the remainder when 31 is divided by 15. 1 What is the remainder when 71 is divided by 52? 19 Calculate the remainder when 589 is divided by 59. 58 Calculate the remainder when 309 is divided by 98. 15 What is the remainder when 652 is divided by 180? 112 Calculate the remainder when 85 is divided by 46. 39 What is the remainder when 1311 is divided by 11? 2 What is the remainder when 211 is divided by 127? 84 Calculate the remainder when 60 is divided by 38. 22 What is the remainder when 4885 is divided by 1628? 1 Calculate the remainder when 340 is divided by 9. 7 What is the remainder when 11615 is divided by 176? 175 Calculate the remainder when 2224 is divided by 219. 34 Calculate the remainder when 214 is divided by 105. 4 Calculate the remainder when 12634 is divided by 133. 132 Calculate the remainder when 366 is divided by 105. 51 Calculate the remainder when 655 is divided by 82. 81 What is the remainder when 11 is divided by 3? 2 Calculate the remainder when 183 is divided by 37. 35 What is the remainder when 10799 is divided by 60? 59 What is the remainder when 294 is divided by 213? 81 What is the remainder when 9455 is divided by 49? 47 Calculate the remainder when 307 is divided by 83. 58 Calculate the remainder when 1676 is divided by 12. 8 What is the remainder when 344 is divided by 75? 44 Calculate the remainder when 458 is divided by 154. 150 Calculate the remainder when 998 is divided by 341. 316 Calculate the remainder when 154 is divided by 47. 13 What is the remainder when 1151 is divided by 162? 17 Calculate the remainder when 142 is divided by 11. 10 What is the remainder when 304 is divided by 8? 0 What is the remainder when 178 is divided by 86? 6 What is the remainder when 26 is divided by 11? 4 Calculate the remainder when 429 is divided by 86. 85 What is the remainder when 1663 is divided by 15? 13 Calculate the remainder when 431 is divided by 202. 27 Calculate the remainder when 2749 is divided by 914. 7 What is the remainder when 3882 is divided by 29? 25 What is the remainder when 6300 is divided by 11? 8 Calculate the remainder when 355 is divided by 40. 35 Calculate the remainder when 480 is divided by 23. 20 What is the remainder when 19518 is divided by 9? 6 Calculate the remainder when 942 is divided by 85. 7 Calculate the remainder when 1922 is divided by 84. 74 What is the remainder when 156 is divided by 40? 36 What is the remainder when 2021 is divided by 254? 243 Calculate the remainder when 1324 is divided by 439. 7 What is the remainder when 41 is divided by 32? 9 Calculate the remainder when 286 is divided by 135. 16 Calculate the remainder when 600 is divided by 67. 64 Calculate the remainder when 2762 is divided by 22. 12 What is the remainder when 1721 is divided by 24? 17 What is the remainder when 149 is divided by 38? 35 Calculate the remainder when 105 is divided by 4. 1 What is the remainder when 60 is divided by 33? 27 What is the remainder when 50 is divided by 15? 5 What is the remainder when 1288 is divided by 43? 41 What is the remainder when 943 is divided by 130? 33 Calculate the remainder when 3296 is divided by 157. 156 Calculate the remainder when 315 is divided by 96. 27 Calculate the remainder when 184 is divided by 49. 37 Calculate the remainder when 762 is divided by 155. 142 What is the remainder when 462 is divided by 36? 30 What is the remainder when 288 is divided by 21? 15 What is the remainder when 184 is divided by 86? 12 Calculate the remainder when 226 is divided by 104. 18 What is the remainder when 648 is divided by 7? 4 Calculate the remainder when 753 is divided by 13. 12 What is the remainder when 1387 is divided by 87? 82 What is the remainder when 662 is divided by 47? 4 What is the remainder when 440 is divided by 153? 134 Calculate the remainder when 904 is divided by 151. 149 What is the remainder when 40 is divided by 9? 4 Calculate the remainder when 9 is divided by 2. 1 What is the remainder when 1341 is divided by 48? 45 What is the remainder when 195 is divided by 63? 6 Calculate the remainder when 141 is divided by 9. 6 Calculate the remainder when 216 is divided by 107. 2 Calculate the remainder when 55 is divided by 20. 15 What is the remainder when 1224 is divided by 59? 44 Calculate the remainder when 160 is divided by 78. 4 Calculate the remainder when 27 is divided by 14. 13 Calculate the remainder when 732 is divided by 144. 12 Calculate the remainder when 794 is divided by 21. 17 What is the remainder when 1650 is divided by 1648? 2 What is the remainder when 169 is divided by 45? 34 Calculate the remainder when 360 is divided by 61. 55 What is the remainder when 490 is divided by 29? 26 Calculate the remainder when 437 is divided by 70. 17 Calculate the remainder when 686 is divided by 244. 198 Calculate the remainder when 103 is divided by 28. 19 Calculate the remainder when 1679 is divided by 33. 29 Calculate the remainder when 22 is divided by 7. 1 What is the remainder when 1266 is divided by 27? 24 What is the remainder when 325 is divided by 30? 25 What is the remainder when 198 is divided by 52? 42 What is the remainder when 835 is divided by 172? 147 What is the remainder when 51 is divided by 13? 12 What is the remainder when 582 is divided by 150? 132 Calculate the remainder when 1388 is divided by 143. 101 Calculate the remainder when 80 is divided by 21. 17 What is the remainder when 362 is divided by 69? 17 What is the remainder when 75 is divided by 18? 3 Calculate the remainder when 241 is divided by 52. 33 Calculate the remainder when 235 is divided by 77. 4 What is the remainder when 3439 is divided by 856? 15 Calculate the remainder when 2182 is divided by 200. 182 What is the remainder when 2218 is divided by 20? 18 Calculate the remainder when 225 is divided by 49. 29 What is the remainder when 830 is divided by 19? 13 What is the remainder when 753 is divided by 54? 51 Calculate the remainder when 3118 is divided by 14. 10 Calculate the remainder when 63061 is divided by 147. 145 What is the remainder when 428 is divided by 100? 28 What is the remainder when 232 is divided by 117? 115 What is the remainder when 17 is divided by 13? 4 Calculate the remainder when 38 is divided by 10. 8 Calculate the remainder when 103 is divided by 30. 13 What is the remainder when 68 is divided by 22? 2 Calculate the remainder when 422 is divided by 31. 19 What is the remainder when 3125 is divided by 150? 125 Calculate the remainder when 227 is divided by 41. 22 Calculate the remainder when 855 is divided by 3. 0 Calculate the remainder when 174 is divided by 154. 20 Calculate the remainder when 81 is divided by 2. 1 What is the remainder when 2072 is divided by 341? 26 What is the remainder when 336 is divided by 85? 81 Calculate the remainder when 298 is divided by 38. 32 What is the remainde
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of ((-14)/(-2))/(m/(-6)). 2, 3, 7 Suppose 59*r = -40*r + 170874. What are the prime factors of r? 2, 863 Let t = -93 - -219. Suppose 12 = 2*i - 3*w, -18*i + 3*w + 15 = -15*i. Suppose -3*x + t = i*x. What are the prime factors of x? 3, 7 Suppose 5*j = 4*x - 3063, -x + 753 = -j + 4*j. What are the prime factors of x? 2, 3, 127 Let d(s) = -7*s - 10. Let k be d(-5). Let v be 12/(-6) + (k - 1). Suppose -56 = -5*i + 2*f, 4*f = -0*i + i - v. List the prime factors of i. 2, 5 Suppose 57*m - 47*m = 36090. List the prime factors of m. 3, 401 Suppose 7*x - 8866 = 4847. List the prime factors of x. 3, 653 Let i(a) = 4*a**2 - 13*a + 3. Let u be i(8). Suppose u = 2*h - 11. List the prime factors of h. 83 Suppose 5*f - 3*c = 2*c + 5260, -5290 = -5*f - c. List the prime factors of f. 7, 151 Let s(i) = 12 - 7*i + 8*i**2 + 4 - 14 - 3*i**2. List the prime factors of s(8). 2, 7, 19 Let c = -19 - -15. Let v(p) = 9*p**2 - p - 4. Let x be v(c). Suppose 5*u - x = -3*t, -u + 5*u + t - 111 = 0. What are the prime factors of u? 3 Let p(w) be the second derivative of w**5/20 - 23*w**4/12 + 4*w**3 + 10*w**2 - 11*w. List the prime factors of p(22). 2 Let h = 288 - -702. What are the prime factors of h? 2, 3, 5, 11 Let y(w) = -49*w + 10. Let p(n) = 33*n - 7. Let h(i) = -8*p(i) - 5*y(i). What are the prime factors of h(-5)? 101 Let r = 11 - 9. Let j(c) = 2*c**3 - c**2 + 2. Let u be j(r). What are the prime factors of (-21)/u*(-4)/3? 2 Let l = -61 - -40. Let o = 28 + l. Suppose -o*r + 10*r = 213. What are the prime factors of r? 71 Let b(m) = -m**2 + 17*m - 14. Let s be b(16). Suppose -s*x + 4*x = 228. List the prime factors of x. 2, 3, 19 Let s(c) = c**2 - 12*c - 3. Let m be s(15). Let q = 83 - m. List the prime factors of q. 41 Let f(o) = o**3 - 8*o**2 + 6*o + 2. Let a(j) = j**3 - 6*j**2 + 4*j + 12. Let g be a(5). Let w be f(g). Let m = -2 - w. What are the prime factors of m? 3 What are the prime factors of (-165)/55*(142/(-6) + 1)? 2, 17 Let r = 50 + -12. Suppose 3*x + 6*c = c - r, -c = -3*x - 14. Let z = 4 - x. What are the prime factors of z? 2, 5 Suppose 632 = 3*o + 30*z - 31*z, -4*z + 202 = o. List the prime factors of o. 2, 3, 5, 7 Let g = -22 - -27. Suppose -6*d + 271 = -d - 2*x, -g*d = -4*x - 277. Suppose d - 135 = -2*c. List the prime factors of c. 41 Let y = 894 + -521. What are the prime factors of y? 373 Let i = 6688 - 4649. What are the prime factors of i? 2039 Suppose -59*c + 165 = -48*c. Let z(j) = 19*j + 6. Let i be z(6). Suppose -w + 2*l - i = -3*w, 0 = 5*l + c. List the prime factors of w. 3, 7 Suppose 0 = -14*f + 3*f + 55. Suppose -6*z = -2*z - 8, f*q + z - 317 = 0. What are the prime factors of q? 3, 7 Let y(o) = -4*o - 85. Let z(v) = 2*v + 42. Let b(m) = -3*y(m) - 5*z(m). List the prime factors of b(5). 5, 11 Suppose 0 = 4*l - 8, 0*c + 2*c + 5*l + 18 = 0. Let j = 2 - 0. List the prime factors of ((-12)/7)/(j/c). 2, 3 Suppose -3*s = 5*k - 3018, 0 = 4*s - k - 6004 + 2003. List the prime factors of s. 7, 11, 13 List the prime factors of -15*((-119)/3 - 6/(-9)). 3, 5, 13 Suppose -2*o + 3*o - 36 = -4*k, 5*k + 205 = 5*o. Suppose -o + 146 = 2*w. What are the prime factors of w? 53 Let a(j) = 19*j**3 - 3*j**2 - 2*j. Let g be a(-2). Let c = g - -229. What are the prime factors of c? 3, 23 Let i(c) = -22*c + 26. List the prime factors of i(-19). 2, 3, 37 What are the prime factors of ((-1)/((-5)/948))/(57/1330)? 2, 7, 79 Let j = -48 - -104. Suppose -4*o + j = -32. List the prime factors of o. 2, 11 Suppose 88 = -0*w - w. Let o(x) = -x**3 - 9*x**2 - 2*x - 12. Let y be o(-9). What are the prime factors of 4/y + w/(-3)? 2, 3, 5 Let n(o) = o**3 - 10*o**2 - 11*o + 3. Let j be n(11). Let c(l) = j*l - l + 3*l + 1 - 4*l. What are the prime factors of c(6)? 7 What are the prime factors of (-21)/(-3) + (-6276)/(-4 + -2)? 3, 13 Suppose 2*p + 5 = -5*k, -4*k - 22 = -5*p + 3*p. What are the prime factors of p? 5 Let u(q) = -308*q + 286. List the prime factors of u(-8). 2, 5, 11 Let m(r) = -357*r - 100. List the prime factors of m(-4). 2, 83 Suppose 3*a = -8*b + 3*b + 7822, -5*b = -2*a - 7827. List the prime factors of b. 5, 313 Suppose -3*j + 1839 - 192 = 0. What are the prime factors of j? 3, 61 Suppose -35*n = -39*n - 12, -y + 4*n + 1771 = 0. List the prime factors of y. 1759 Let g = -5 - -9. Suppose 5*z = -3*n + 11, g*z = -z + 5*n + 35. What are the prime factors of z? 2 Let o(m) = -55*m + 1626. What are the prime factors of o(0)? 2, 3, 271 Suppose 4*i = 3*s - 26, i + 5*s + 7 = -11. Let z(t) = -6 + 0*t**2 + 4*t + t**2 + 1. What are the prime factors of z(i)? 3 Suppose 9*n + 5*n = 14560. List the prime factors of n. 2, 5, 13 Suppose 4*f - 2*x - 15132 = 0, 434 = f - 3*x - 3354. List the prime factors of f. 2, 31, 61 Let m(a) = -71*a - 141. What are the prime factors of m(-6)? 3, 5, 19 Let y = 10 - 4. List the prime factors of (-115)/1*2*(-3)/y. 5, 23 Suppose -4*c - 12 = -5*x, -3 = 3*x + 3*c - 2*c. Let w(o) be the third derivative of o**5/60 + 29*o**3/6 - 76*o**2. List the prime factors of w(x). 29 Let v be (48/(-15))/((-4)/10). Let w = v - 5. Suppose 5*h + 26 = -4*o + 100, 5*h - 58 = -w*o. What are the prime factors of o? 2 Let s(k) = -k. Let x(l) = l**2 + 11*l - 3. Let g(r) = -2*r**2 - 12*r + 3. Let w(n) = 2*g(n) + 3*x(n). Let f(a) = -4*s(a) + w(a). List the prime factors of f(5). 37 Suppose -4*w + 390 = -3*u, 4*w = -4*u + 52 + 324. Let n be (2/4)/(4/w). Let q = 12 + n. List the prime factors of q. 2, 3 What are the prime factors of (((-238)/(-21))/17)/(4/2622)? 19, 23 Let r = -96 - -101. Suppose r*d - 119 = 261. List the prime factors of d. 2, 19 Let j = 52 + -50. Suppose -f = -4*f + 156. Suppose 4*l + j*p - f - 42 = 0, -2 = -2*p. What are the prime factors of l? 23 Let f(s) = 162*s + 6. Let b be f(-4). What are the prime factors of (-16)/32 - b/4? 2, 5 Let f = -24 + 26. Let j = f - -78. List the prime factors of j. 2, 5 Let s = -12 - -124. Suppose -s = -2*v - 4*y, 0 = -2*v - 2*v + 4*y + 224. What are the prime factors of v? 2, 7 Suppose -2*r - 4195 = -5*r + 4*w, 4*r = -w + 5568. List the prime factors of r. 7, 199 Let j(x) = 25*x**2 - 1. Let c(t) = -t + 1. Let f(b) = -b. Let y(i) = c(i) - 2*f(i). Let k be y(0). What are the prime factors of j(k)? 2, 3 Suppose -49 = s - 50, 4*d + s - 3925 = 0. What are the prime factors of d? 3, 109 Let v(y) = 152*y**2 + 32*y - 85. What are the prime factors of v(3)? 7, 197 What are the prime factors of (3/4)/((-15)/(-20))*1969? 11, 179 Suppose -70504 = -102*d + 36086. What are the prime factors of d? 5, 11, 19 Suppose -y + 5*y = 2544. List the prime factors of y. 2, 3, 53 Let k(m) = m**3 - 2*m**2 - 5*m + 1. Let x be k(4). Suppose x*f = 12*f - 1. Let q(o) = -35*o**3 - o**2 - o - 1. List the prime factors of q(f). 2, 17 Suppose -3*c + 2 + 13 = 0. Let q(u) = u - 3. Let h be q(c). What are the prime factors of 22 + h + (5 - 5)? 2, 3 Suppose s - 4*c = 341, -1762 = -7*s + 2*s + c. Let b = s - 169. List the prime factors of b. 2, 23 Let y(r) = 5*r**2 - 35*r - 29. What are the prime factors of y(16)? 691 Let j = -505 - -721. Suppose 0 = -3*z - z + j. List the prime factors of z/4 + 2/4. 2, 7 Let q(b) = -38*b**3 + 4*b**2 + 10*b + 12. What are the prime factors of q(-4)? 2, 617 Let i(j) = 149*j - 23. What are the prime factors of i(1)? 2, 3, 7 Let u = 5255 + -2760. What are the prime factors of u? 5, 499 Let m = 5181 + -2288. List the prime factors of m. 11, 263 Let s = 2475 - 1453. What are the prime factors of s? 2, 7, 73 Suppose 0 = k + 26 - 47. Suppose -10 - 10 = -5*y. Let b = k - y. What are the prime factors of b? 17 Let u = 87 + -49. Suppose 160 = u*h - 37*h. What are the prime factors of h? 2, 5 Suppose -3*x + 2*j = 7*j + 43, -4*j = -3*x + 2. Let c be 4/x + 4/(-12). List the prime factors of c/(-2) - 111/(-2). 2, 7 Suppose 3 = v - 0*v. Let t = -1850 - -1851. What are the prime factors of (-34)/(-6)*v - t? 2 Suppose 0 = 4*h + 181 - 2189. List the prime factors of h. 2, 251 Let p(x) = -2*x**2 + 5*x - 2. Let j be p(3). Let a(v) = v**2 + 9. Let d be a(j). List the prime factors of d*(-3 - (-8)/2). 2, 17 Let i be 2/18*-3*(-61 + 1). Let u = 5 + i. List the prime factors of u. 5 Suppose -2*a = 3*a - 60. Let k = 133 + -129. Suppose -a = -k*g + 2*g. What are the prime factors of g? 2, 3 Let o(j) = -14*j**2 + 820. What a
{ "pile_set_name": "DM Mathematics" }
-85/14 and j. 14 Let c be 34 - (-1)/((-1)/2). Suppose 4*k = -2*y + c, 0 = -3*k + 2*y + 6 + 4. Let f = -14 - -24. What is the least common multiple of k and f? 30 Suppose 4*u - 6*u = -32. What is the least common multiple of 58 and u? 464 Let u(w) = 4*w - 15. Let s(g) = -g + 10. Let p(a) = a**3 + a + 5. Let x be p(0). What is the lowest common multiple of s(x) and u(4)? 5 Suppose 5*i = -2*o + 86, 2*o + 4*i - 36 = 50. Let b = o + -103. What is the common denominator of -95/2 and 2/10 - (-692)/b? 6 Let r = 70012/213 + 495/71. Let a = r + -328. Calculate the common denominator of a and 42/11. 33 Let j be (-2)/(3 + (-11)/4). Let q = 744 + -7389/10. What is the common denominator of q and (-35)/j - (-2 + 4)? 40 Let p = 13 - 9. Suppose 5*d - 3*n + 18 = 74, p*d - 30 = -5*n. Suppose c - 2*c + 10 = 0. Calculate the least common multiple of d and c. 10 Let x(m) = -5*m**3 + m**2 + 7*m + 7. Let i(f) = 11*f**3 - f**2 - 14*f - 15. Let g(p) = 4*i(p) + 9*x(p). What is the smallest common multiple of 9 and g(6)? 9 Let o(r) = -13*r**2 - r. Let x be o(-1). Calculate the common denominator of (-70)/(-12) - (-2 - -1) and (-273)/(-15)*10/x. 6 Let p(j) = 6*j. Calculate the lowest common multiple of 2 and p(1). 6 Let m = 1 + 7. Calculate the common denominator of -33/20 and (-85)/m - (-4 - -2). 40 Suppose -55 = -d - 4*d. Let i(t) = -t**3 + 11*t**2 + 4*t + 1. Calculate the common denominator of 33/2 and i(d). 2 Suppose 0*n = n - 11. Let s = -210 - -217. What is the lowest common multiple of s and n? 77 Suppose 15 = 2*c + c. What is the smallest common multiple of 16 and 432/20 + 2/c? 176 Find the common denominator of 26/(-8) - (-1)/2 and 43. 4 Suppose -4*y + 13 = 25. Suppose 4*u = 8*t - 3*t + 29, 0 = 2*t + 2. What is the smallest common multiple of 11 - 8*y/(-6) and u? 42 What is the lowest common multiple of 9 and -28*(9/(-2) + 4)? 126 Let x(q) = 3*q - 1. Let d be x(1). Let f = -4/1271 - 53338/13981. Find the common denominator of f and ((-3)/36)/(d/(-508)). 66 Let c be 165/(-12) + (-2)/8. Suppose -3*y + 6 = -2*y. What is the least common multiple of ((-18)/21)/(2/c) and y? 6 Suppose -103 = -5*f - 3. What is the smallest common multiple of f and ((-24)/34)/(-6) + 608/34? 180 Find the common denominator of (11/33)/(7/(-38)) and (6/(-8))/((-11)/(-4)). 231 Let t be 4*(0 + -1) + 1. Let r = t - -7. What is the smallest common multiple of 8 and r? 8 What is the common denominator of (-69)/8 - (-3 + 8 + -3) and 127/12? 24 Let s = 101/44 - 6/11. Let d(o) = -o**3 + 4*o**2 + 5*o + 2. Let g be d(5). What is the common denominator of g/5 + 846/(-165) and s? 44 Let r = -13 + 13. Let x be 0 + 0/2 - 2. Find the common denominator of 16/9 and 291/(-30) + r + x. 90 Find the common denominator of (-9)/54 + (-1)/(15/26) and 17/10. 10 Let s = -9/5 + -7/5. What is the common denominator of s and (-4)/12 - 622/60? 10 Let d = 957/2 + -488. What is the common denominator of -40/3 and d? 6 Let a = 1147 - 25203/22. Let m be ((-8310)/(-9))/(1/(-3)). Let f = -38879/14 - m. Find the common denominator of f and a. 154 Let d = -3662/2475 - 4/99. Let x = 1/50 + d. Calculate the common denominator of -27/22 and x. 22 Suppose 5*n + 2*h + 101 = -2*h, 4*n - 3*h + 87 = 0. Find the common denominator of -31/4 and (n/(-9))/(38/3). 76 Let v(t) be the third derivative of -t**6/120 - t**5/60 + t**4/24 + t**3/6 + t**2. Let k be v(-2). What is the smallest common multiple of 18/(-4)*(-2)/k and 6? 6 Let z(l) = 5*l**2 - 5*l. Calculate the least common multiple of z(2) and 14. 70 Let a = -102 + 110. What is the smallest common multiple of a and 12? 24 Let w = -1031 + 3143/3. Find the common denominator of 0 and w. 3 Let z = -17613034 + 11835953809/672. Let c = z - 7/96. Find the common denominator of 41/2 and c. 14 Let t(j) = 2*j**3 - j - 4. Calculate the least common multiple of 14 and t(4). 840 Suppose 7*m = 4*m - 9. Let z = m - -17. Suppose -4*k + 10 = -z. What is the lowest common multiple of 2 and k? 6 Suppose 19*u - 23*u + 208 = 0. Calculate the lowest common multiple of 6 and u. 156 Suppose i + 9 - 34 = 0. Suppose i = -0*x + 5*x. Let g = x - -5. Calculate the least common multiple of g and 8. 40 Let s = -1/3273 + -238919/32730. Calculate the common denominator of s and 3/(-1)*15/(-72). 40 Let m be 116/(-6) + (-2)/(-6). Let n = 41 + m. What is the smallest common multiple of n and 8? 88 Let v = -65/184 - 182333/552. Let y = 1355171/4422 + 3609/134. Let r = v + y. What is the common denominator of r and -49/5? 55 Let i = 32030 + -76611. Let f = 59613182/1337 + i. Let q = f + 30/191. Find the common denominator of q and -71/3. 21 Suppose -3*m - 16 = -7*m. Suppose 3*o = -3*l + 30, m*o + l - 42 = -4*l. What is the lowest common multiple of 18 and o? 72 Let p = 8446 - 5016. Let w = p - 23955/7. Calculate the common denominator of w and -57/10. 70 Let t(n) be the second derivative of n**4/6 - n**3/3 + n**2/2 + n. What is the least common multiple of t(1) and 10? 10 Let p = 6 + -3. Suppose -n - 23 = -p*o, -5*o + 3*n = -0*o - 37. Calculate the smallest common multiple of o and 2. 8 Let j = -31 + 51. Calculate the least common multiple of j and 4. 20 Suppose -6 = -3*c - 3*r + 6*r, 0 = -3*c - 4*r + 41. Suppose -4*b - 5 = c, 5*y - 4 = -2*b. Calculate the least common multiple of 8 and y. 8 Let k = -282725/22 + 12849. Calculate the common denominator of (-3)/(-36)*73*2 and k. 66 Let f be (1 + 0)/(1/5). Suppose -f*z - 19 - 1 = 0, 0 = 2*b + 3*z - 10. What is the lowest common multiple of b and 5? 55 Let s = 1946/3 - 655. Suppose -v = -3*v + 8. Find the common denominator of s and (-1 - v/(-8)) + 43. 6 Find the common denominator of 0/5 - (-103)/6 and -117/14. 42 Let b = -86612983 - -1559454497/18. Let j = b - 23371. Calculate the common denominator of 89/2 and j. 18 Suppose -3*s + 38 = -4*u, -20 = 4*u - 0. Let c(v) = -2*v + 2. Let x be c(4). Calculate the least common multiple of (-28)/x + (-2)/(-6) and s. 30 Suppose 22 = -5*k - 43. Suppose u = 2*u + 4*t - 4, -u - 2*t + 4 = 0. What is the common denominator of u/(-14) - (-1059)/(-42) and k? 2 Let v(r) = r**2 + 7*r - 7. Calculate the smallest common multiple of v(-8) and 11. 11 Let q = 1756190/51 + -34434. What is the common denominator of 121/12 and q? 204 Let h = -3392953828 - 2666780247. Let u = 76413246785309/12610 + h. Let j = u - -6/1261. Calculate the common denominator of -3/16 and j. 80 Calculate the common denominator of 23/2 and (962/(-455))/((-8)/(-10)). 14 Let z = -39455/6 + 6594. Let t(r) = -r**2 - 14*r + 13. Suppose w = -j - 11, -j + 5*j = 3*w + 33. What is the common denominator of z and t(w)? 6 Suppose -48 = -5*t + 2*t. Let p = t - 12. What is the lowest common multiple of 7 and p? 28 Let j(k) = -k - 6. What is the least common multiple of 10 and j(-8)? 10 Let b = 87 + -77. What is the least common multiple of b and 2? 10 Suppose 5*u - 11 = -1. Suppose -2*m + 2*g - 1 = 3, -4*m + u*g - 4 = 0. Let k = 4 + m. Calculate the lowest common multiple of 20 and k. 20 Find the common denominator of (-130)/28 + 2/1 and (-1668)/(-440) - 2/10. 154 Let c = -12 - -64. Calculate the smallest common multiple of c and 2. 52 Let u(h) = -610*h**2 - h + 1. Let i be u(1). Let s be 2/((-606)/i + -1). Calculate the common denominator of ((-1)/(-5))/(16/s) and 61/22. 176 What is the common denominator of 43/36 and -2 - (-635)/12*(-1)/(-5)? 36 Let u = -13 - -43. Calculate the common denominator of 204/u*10/(-22) and -41/7. 77 Let p = 3329/711 + -10/79. Calculate the common denominator of -58/7 and p. 63 Let g = -2/909 + -26351/4545. What is the common denominator of 87/88 and g? 440 Let v = -10 + 18. Suppose -v = -0*m - 4*m. What is the lowest common multiple of ((-35)/10)/((-1)/m) and 4? 28 Let l = 14/39 - -251/13. Calculate the common denominator of 11/2 and l. 6 Let q = -15433/8 - -1923. Let t = -2/45 - 1661/90. What is the common denominator of t and q? 8 Let b be (0*(0 - 1))/(-2). Let g(y) = -y**3 - y**2 + y + 5. Let j be g(b). Calculate the least common multiple of 4 and 4/((-8)/j)*-2. 20 Let r = -291/4 - -193/4. What is the common denominator of 47/17 and r? 34 Let h be 48/20 - 2/5. What is the lowest common multiple of (16 - h/2) + -3 and (-7 - -1)/((-1)/2)? 12 Let w = 0 + 0. Let l = 12 - w. Suppose 9*m - 6*m = 30. What is the lowest common multiple of m and l? 60 Cal
{ "pile_set_name": "DM Mathematics" }
32 PM How many minutes are there between 5:19 AM and 9:15 AM? 236 What is 539 minutes before 9:58 AM? 12:59 AM How many minutes are there between 4:09 PM and 1:51 AM? 582 What is 612 minutes after 11:53 PM? 10:05 AM What is 313 minutes before 2:48 PM? 9:35 AM How many minutes are there between 9:50 AM and 4:36 PM? 406 How many minutes are there between 11:13 PM and 9:25 AM? 612 What is 345 minutes before 6:52 AM? 1:07 AM How many minutes are there between 4:11 AM and 6:11 AM? 120 How many minutes are there between 3:19 PM and 5:58 PM? 159 How many minutes are there between 6:50 PM and 5:57 AM? 667 How many minutes are there between 12:17 PM and 5:12 PM? 295 What is 693 minutes before 12:19 PM? 12:46 AM How many minutes are there between 12:54 PM and 8:59 PM? 485 What is 386 minutes before 4:47 PM? 10:21 AM What is 414 minutes after 9:06 PM? 4:00 AM How many minutes are there between 6:23 AM and 1:47 PM? 444 What is 505 minutes before 11:33 PM? 3:08 PM How many minutes are there between 2:53 PM and 2:37 AM? 704 What is 123 minutes before 2:05 AM? 12:02 AM What is 158 minutes before 9:00 PM? 6:22 PM What is 321 minutes after 8:17 PM? 1:38 AM How many minutes are there between 3:47 PM and 11:29 PM? 462 What is 156 minutes after 7:11 AM? 9:47 AM How many minutes are there between 12:13 AM and 6:57 AM? 404 What is 141 minutes after 9:32 PM? 11:53 PM How many minutes are there between 2:27 AM and 4:24 AM? 117 What is 6 minutes before 12:25 PM? 12:19 PM How many minutes are there between 8:47 PM and 3:51 AM? 424 What is 96 minutes before 9:53 AM? 8:17 AM What is 89 minutes after 10:38 AM? 12:07 PM How many minutes are there between 9:34 PM and 10:09 PM? 35 What is 620 minutes before 5:39 AM? 7:19 PM How many minutes are there between 3:15 PM and 1:10 AM? 595 How many minutes are there between 1:43 PM and 7:56 PM? 373 How many minutes are there between 8:03 AM and 9:35 AM? 92 What is 360 minutes before 5:48 AM? 11:48 PM How many minutes are there between 6:34 AM and 1:22 PM? 408 What is 149 minutes after 11:56 AM? 2:25 PM What is 576 minutes after 8:57 AM? 6:33 PM What is 485 minutes after 11:51 PM? 7:56 AM How many minutes are there between 10:54 PM and 3:09 AM? 255 What is 444 minutes before 12:29 AM? 5:05 PM What is 60 minutes before 7:52 PM? 6:52 PM How many minutes are there between 9:13 AM and 6:57 PM? 584 What is 313 minutes before 2:24 AM? 9:11 PM How many minutes are there between 4:59 AM and 12:02 PM? 423 How many minutes are there between 6:16 AM and 4:13 PM? 597 How many minutes are there between 10:30 AM and 5:12 PM? 402 How many minutes are there between 4:04 PM and 3:54 AM? 710 How many minutes are there between 11:57 PM and 5:51 AM? 354 How many minutes are there between 1:38 PM and 4:55 PM? 197 What is 605 minutes after 11:49 PM? 9:54 AM What is 576 minutes before 11:04 AM? 1:28 AM How many minutes are there between 5:47 AM and 8:32 AM? 165 What is 556 minutes after 8:55 AM? 6:11 PM How many minutes are there between 5:34 PM and 11:34 PM? 360 What is 277 minutes after 1:59 AM? 6:36 AM What is 36 minutes before 4:37 AM? 4:01 AM How many minutes are there between 2:40 PM and 2:10 AM? 690 What is 560 minutes after 10:40 PM? 8:00 AM What is 303 minutes after 10:54 PM? 3:57 AM What is 135 minutes before 2:39 PM? 12:24 PM What is 428 minutes after 4:16 PM? 11:24 PM How many minutes are there between 5:00 AM and 3:41 PM? 641 How many minutes are there between 9:48 PM and 9:35 AM? 707 How many minutes are there between 7:00 PM and 9:00 PM? 120 What is 406 minutes after 5:57 PM? 12:43 AM How many minutes are there between 5:45 AM and 8:32 AM? 167 How many minutes are there between 9:17 PM and 4:07 AM? 410 How many minutes are there between 8:05 AM and 6:16 PM? 611 What is 559 minutes before 9:53 PM? 12:34 PM What is 12 minutes after 10:15 PM? 10:27 PM What is 77 minutes after 11:08 AM? 12:25 PM What is 202 minutes before 11:01 PM? 7:39 PM How many minutes are there between 10:00 PM and 7:12 AM? 552 What is 286 minutes after 11:34 PM? 4:20 AM What is 582 minutes after 8:13 AM? 5:55 PM What is 254 minutes before 7:26 AM? 3:12 AM How many minutes are there between 6:28 PM and 9:19 PM? 171 What is 430 minutes after 11:53 PM? 7:03 AM What is 661 minutes before 1:57 AM? 2:56 PM What is 181 minutes before 5:20 PM? 2:19 PM What is 391 minutes before 6:21 AM? 11:50 PM What is 470 minutes before 1:24 AM? 5:34 PM What is 321 minutes before 6:44 PM? 1:23 PM How many minutes are there between 4:54 PM and 8:37 PM? 223 How many minutes are there between 7:10 PM and 8:03 PM? 53 How many minutes are there between 12:44 PM and 10:32 PM? 588 How many minutes are there between 7:07 PM and 5:02 AM? 595 What is 154 minutes before 10:17 AM? 7:43 AM How many minutes are there between 3:40 AM and 3:27 PM? 707 How many minutes are there between 10:02 AM and 4:16 PM? 374 What is 142 minutes after 2:50 AM? 5:12 AM How many minutes are there between 11:29 AM and 2:04 PM? 155 How many minutes are there between 10:20 PM and 5:45 AM? 445 What is 325 minutes after 1:01 AM? 6:26 AM What is 136 minutes after 11:47 PM? 2:03 AM What is 63 minutes before 11:13 PM? 10:10 PM What is 289 minutes before 10:01 AM? 5:12 AM What is 117 minutes before 7:45 AM? 5:48 AM What is 250 minutes before 6:15 PM? 2:05 PM How many minutes are there between 7:00 PM and 3:46 AM? 526 How many minutes are there between 8:41 AM and 8:26 PM? 705 What is 526 minutes before 2:43 PM? 5:57 AM What is 373 minutes before 10:35 AM? 4:22 AM How many minutes are there between 1:29 AM and 3:26 AM? 117 What is 155 minutes before 12:05 PM? 9:30 AM How many minutes are there between 2:06 PM and 6:59 PM? 293 What is 292 minutes before 4:17 PM? 11:25 AM How many minutes are there between 4:17 PM and 7:28 PM? 191 What is 277 minutes before 11:01 PM? 6:24 PM What is 355 minutes before 5:29 PM? 11:34 AM How many minutes are there between 3:03 PM and 8:01 PM? 298 How many minutes are there between 5:49 AM and 8:13 AM? 144 What is 372 minutes after 7:43 PM? 1:55 AM What is 304 minutes before 4:05 PM? 11:01 AM What is 636 minutes after 5:59 AM? 4:35 PM How many minutes are there between 6:39 PM and 12:20 AM? 341 How many minutes are there between 8:08 AM and 4:18 PM? 490 How many minutes are there between 11:33 AM and 6:19 PM? 406 How many minutes are there between 5:51 PM and 12:41 AM? 410 How many minutes are there between 11:02 AM and 10:22 PM? 680 What is 327 minutes before 9:22 PM? 3:55 PM How many minutes are there between 5:04 PM and 6:11 PM? 67 How many minutes are there between 4:28 AM and 3:02 PM? 634 What is 121 minutes before 7:08 AM? 5:07 AM What is 145 minutes before 1:37 AM? 11:12 PM What is 286 minutes before 6:22 PM? 1:36 PM What is 186 minutes after 7:34 PM? 10:40 PM How many minutes are there between 3:49 PM and 3:44 AM? 715 How many minutes are there between 5:07 AM and 1:53 PM? 526 What is 660 minutes before 6:48 PM? 7:48 AM What is 315 minutes after 8:14 AM? 1:29 PM What is 402 minutes before 12:05 PM? 5:23 AM How many minutes are there between 2:14 AM and 7:41 AM? 327 How many minutes are there between 10:38 AM and 12:29 PM? 111 What is 19 minutes after 4:44 PM? 5:03 PM How many minutes are there between 9:33 PM and 11:50 PM? 137 What is 255 minutes after 5:36 AM? 9:51 AM How many minutes are there between 2:39 PM and 6:02 PM? 203 How many minutes are there between 12:09 AM and 9:15 AM? 546 How many minutes are there between 2:04 PM and 6:50 PM? 286 How many minutes are there between 6:59 AM and 6:54 PM? 715 How many minutes are there between 7:44 AM and 7:39 PM? 715 How many minutes are there between 3:19 PM and 2:21 AM? 662 What is 11 minutes after 9:34 AM? 9:45 AM How many minutes are there between 9:30 PM and 9:13 AM? 703 What is 421 minutes after 11:46 AM? 6:47 PM What is 719 minutes before 10:30 AM? 10:31 PM What is 505 minutes after 11:41 AM? 8:06 PM How many minutes are there between 6:15 PM and 11:18 PM? 303 How many minutes are there between 11:45 PM and 12:37 AM? 52 How many minutes are there between 11:48 AM and 3:44 PM? 236 What is 553 minutes before 5:29 AM? 8:16 PM How many minutes are there between 4:50 AM and 2:38 PM? 588 What is 20 minutes before 8:26 AM? 8:06 AM How many minutes
{ "pile_set_name": "DM Mathematics" }
33 = -s + 17. Let r = -106 + s. What is the tens digit of r? 4 Let x(p) = -20*p**2 - 3*p + 2. Let c be x(-2). Let a = 104 + c. What is the tens digit of a? 3 Let p be 6/33 - (-204)/(-33). Let n = p + 10. Suppose -g + 6*g = -5*d + 55, 52 = 2*g - n*d. What is the units digit of g? 6 Suppose 0*c = -10*c + 3200. What is the units digit of c? 0 Let h = 210 - -240. What is the units digit of h? 0 Suppose -t - t + 1922 = i, 0 = -5*t + 3*i + 4783. What is the tens digit of t? 5 Let n(b) be the second derivative of -10*b**3/3 - 6*b**2 - 20*b. What is the tens digit of n(-6)? 0 Suppose 6*x = 7*x - 3. Suppose 0 = h - 0*h - x*g - 16, 2*h = g + 7. What is the tens digit of h/(-4) + 3486/56? 6 Suppose -2*x - 3*k = -220, x = 4*k - 19 + 151. Suppose -6*f = -2*f - x. What is the tens digit of 1 + -5 + f + -3? 2 Let a(s) = -s**2 + 11*s - 3. Let x = 11 + -6. Suppose 5*n - h - 33 = -0*h, x*h = n + 3. What is the units digit of a(n)? 5 Let z be -3*6/9 + 35. Suppose 0 = 12*g - 11*g - z. What is the units digit of g? 3 What is the hundreds digit of 5 + -277*(-7 - -6)? 2 Suppose 4*u + m = 9069, m = 2*u + 2*m - 4533. What is the units digit of u? 8 Suppose 0 = 4*b - 5*o + 1, 3*b = -0*o - 2*o + 28. What is the tens digit of 58 + (b/1 - 4)? 6 Let m(w) = -w**3 - 15*w**2 - 14*w + 5. Let g be m(-14). Suppose -g*t + c = -393, -3*t + 4*c + 90 = -139. What is the tens digit of t? 7 Let m(r) = 14*r**2 + 4*r + 4. What is the tens digit of m(7)? 1 Suppose 0 = 22*u - 18277 - 48009. What is the units digit of u? 3 Suppose 4*n + 4 = -5*v + 6, -5*v - n = 7. Suppose 2*m = 3*h - 15, 5*h = 4*m + 28 + 3. What is the units digit of m/3 - (v - 62)? 1 Let u = 1765 + -952. What is the tens digit of u? 1 Let c(y) = -3 - 2 - 43*y + 47*y. Let s be c(-5). Let p = 15 - s. What is the units digit of p? 0 Let s(k) = 2*k**3 + 17*k**2 - 28*k - 19. What is the thousands digit of s(10)? 3 Let l(b) = -1013*b - 36. Let m be l(-3). Suppose 3*s - 16*s = -m. What is the tens digit of s? 3 Suppose -405 = -0*l - 2*l - 3*b, -610 = -3*l - 2*b. Suppose -3*t + 199 = 2*q, 3*t + 0*q - l = 3*q. What is the tens digit of t? 6 Suppose 0 = -4*w + 20 + 24. Let y(x) = 20*x - 34. What is the units digit of y(w)? 6 Let u = -15 - -18. Let d(m) = 2*m**2 + 15*m - 11. Let x be d(-11). What is the units digit of x/(9/(-6) + u)? 4 Let y = 157 + 4. What is the units digit of y? 1 Let r(n) be the second derivative of 0*n**4 + 1/20*n**5 + n + 0*n**2 + 0 + 2/3*n**3. What is the units digit of r(3)? 9 Suppose 4 = 4*a - 3*f, -3*a + 6*f + 10 = 2*f. What is the units digit of (22 - 0)*(-5)/a? 5 Suppose 0 = -t + 2*t - 2*q + 3, 0 = -4*t + 2*q. Suppose -t = -2*o + 5. Suppose 4*z = -n + 65, o*z + 5*n = 45 + 8. What is the tens digit of z? 1 Suppose -2*p = 2*r - 258 - 690, -4*r = -4*p + 1872. What is the hundreds digit of p? 4 Let i be (-8)/28 - (-447)/21. Let m = 23 - i. Suppose -m*r + 68 = -10. What is the units digit of r? 9 Let s(f) = -3*f**3 - f**2 - 3*f - 4. Let x be (-2 - -1)/(18/(-36)). Suppose 2*w - 2 = -0*d - 3*d, d - x = 0. What is the units digit of s(w)? 2 Let s = 564 - 499. What is the tens digit of s? 6 Let l = 1692 + -1275. What is the units digit of l? 7 Let n be ((-2)/(-6))/((-12)/(-72)). Suppose -37 = -n*t + 13. What is the tens digit of t? 2 Let k be 4*7/((-112)/1212). Let b = -146 - k. What is the hundreds digit of b? 1 Let d(t) = -23*t - 10. Let u(v) = -93*v - 41. Let c(x) = 9*d(x) - 2*u(x). What is the tens digit of c(-5)? 9 Suppose -2*n + 4*i - 3 = -5, n - 5*i = 1. Let o(a) = 6 - 7 - n - 2*a. What is the tens digit of o(-8)? 1 Let r(i) = 48*i**2 - 32*i + 159. What is the hundreds digit of r(7)? 2 Let h = -6 - -6. Suppose -5*a + 18 - 8 = h. Suppose -4*z = 5*v - 89, 5*v - 91 + 8 = a*z. What is the tens digit of v? 1 Suppose 2*h - 6 = 2*l, -5*h - 2*l = 2*l + 12. Suppose 4*u = 2*k + 16, -11 = 4*k - u - h*u. What is the units digit of (-32)/(-4)*(4 + k)? 6 What is the tens digit of (44 + -2 - 238/34)/1? 3 Suppose 5*z - 2605 = -4*c, -3*c - 20 = -5. What is the units digit of z? 5 Let w be (-25)/10*(-8)/10. Let d = -5 + w. What is the units digit of 2/d - 69/(-9)? 7 Let l(z) = -9*z**3 + z**2 + z. Let k be l(-1). Let v be (-242)/(-2) - (k - 7). Suppose 0 = -5*p + v + 141. What is the units digit of p? 2 Suppose 0 = 5*q - 3*d - 2967 + 585, -q - 2*d = -479. What is the hundreds digit of q? 4 Let j = -17 - -75. Let u = 46 + -85. Let f = j + u. What is the tens digit of f? 1 Let d = 3752 - 2508. What is the thousands digit of d? 1 Let v = -34 + 34. Suppose 3*p - 662 = -v*p - 2*x, 3*x - 433 = -2*p. What is the tens digit of p? 2 Let m = 8 - 14. Let n(c) = c**3 + 5*c**2 - 6*c + 3. Let t be n(m). Suppose t*v = 4*v - 20. What is the tens digit of v? 2 Let x = 551 + -521. What is the units digit of x? 0 Suppose 0 = i + 76 + 597. Let q = i - -437. What is the tens digit of q/(-24) + (-2)/(-12)? 1 Suppose -3*g - 4*w = -2039, 0 = -4*g + 6*g + 5*w - 1364. What is the tens digit of g? 7 Let s(n) = 7*n**2 - n. Let k be s(1). Let b be ((-3)/5)/(64/960). What is the tens digit of 10/k*b/(-1)? 1 Let u = -3 - -2. Let r be 0 + (u - 54)*-1. Suppose 2*b = 5*g - 120, 5*b + r + 14 = 2*g. What is the units digit of g? 2 Let o be ((-7)/(-28))/(1/(-4)). Let y be o/((-148)/72 + 2). What is the units digit of ((-42)/(-9) - 1)*y? 6 Let j = 272 + -221. What is the units digit of j? 1 Let t(z) = -z**2 - 12*z - 16. Let p be t(-8). Let k be (120/p)/(6/88). What is the units digit of k/6 - (-10)/(-30)? 8 Let o(t) = -t**2 + 5*t + 2. Let r be o(4). Suppose 3 = -m - r. Let u = m - -10. What is the units digit of u? 1 Let x be (-7)/28 + (-433)/(-4). Suppose h = -3*h + x. Suppose u + h = p, 3*p = 7*p - 5*u - 103. What is the tens digit of p? 3 Let b = -209 + 327. Suppose -3*h = -b - 356. What is the tens digit of h? 5 Suppose -5 - 1 = -3*m. Suppose -10*g - 8 = -m*g. What is the tens digit of (-1 + g)*19/(-2)? 1 Let f = 2555 + -1770. Suppose 3*w - 6*w + 2*a = -f, -a + 782 = 3*w. What is the hundreds digit of w? 2 Let o(j) = 75*j - 2. Let r be o(3). Let s = r - 91. Suppose s = -2*w + 4*w + 4*q, -4*q + 244 = 4*w. What is the tens digit of w? 5 What is the hundreds digit of (1107 - 13)/(8/12)? 6 Suppose 5*u - 4*b = 1230, 3*u - 3*b - 212 = 529. What is the units digit of (0 + -2)*(-3 + u/(-4))? 7 Suppose d + 3*d - 16 = 0. Let z(v) = -v**2 + 6*v - 6. Let h be z(d). Suppose 8 = h*k - 16. What is the units digit of k? 2 Suppose -3*m + m + 568 = 0. Suppose -3*z + g = -218, -4*z + 0*z = 2*g - m. What is the units digit of z? 2 Let b(z) = 2*z + 8. Let v(o) = -o**2 - o + 1. Let q(p) = -b(p) + v(p). Let f be q(-9). Let n = -32 - f. What is the units digit of n? 9 Let m = 6010 + -3603. What is the hundreds digit of m? 4 Let k(i) = -9*i**2 - 5*i**3 + 3 - 107*i + 3*i**3 + 109*i. What is the units digit of k(-5)? 8 Let v be 259/(-49) - (-4)/14. Let g(u) = -6*u**2 - 2*u - 6. Let j(h) = 7*h**2 + 2*h + 7. Let z(c) = v*j(c) - 6*g(c). What is the units digit of z(-5)? 6 Let i be (-6)/(-14)*(-105)/(-15). Suppose 3*c = -0*c - i. What is the units digit of (-4 - c)*(-7 - -4)? 9 Let q(w) = 2*w**3 - 7*w**2 - 10. Suppose 4*j = -0*j + 5*u + 10, -3*u + 6 = 0. What is the units digit of q(j)? 5 Let a = 695 - 392. What is the units digit of a? 3 Suppose -2*c + 28 = -4*k, 2*k + 1 + 1 = -2*c. Suppose c*m - 409 = 167. What is the hundreds digit of m? 1 Suppose 0*o + 3*o = n - 13, 7 = -n - o. Let k be ((-2)/(-6))/(2/(-18)). What is the units digit of ((-22)/k)/(n/(-9))? 3 Suppose -11*a + 6*a + 10 = 0. Let f(u) = 13*u**2 + 11*u - 12*u**3 + 11*u**3 - 6*u**a + 13 + 4*u**2. What is the units digit of f(12)? 1 Let m be -96*5/((-60)/(-32)). Let t = -66 - m. What is the tens digit of t? 9 Let w = -2494 - -4065. What is the units digit of w? 1 Let a(t) = 9*t**2 + 7*t - 16. What is the hundreds digit of a(6)? 3 Let i = -626 + 1048. What is the tens digit of i? 2 What is the tens digit of (3*1880/150)/(2/40)? 5 Suppose -20*g + 24*g = 16. What is the units digit of g? 4 Let c(w) = -w**2 - 2*w + 4. Let v be c(-3). Let j = 44 + v. What is the units digit of j? 5 Suppose 3*x + 420 = 4*u + 48, 3*u + 5*x - 250 = 0. Let p = u + -32. What is the units digit of p? 8 Let s = -885 - -1993. What is the units digit of s? 8 What is the hundreds digit of 2/(-4)*401*498/(-83)? 2 Let c be 412/(-14) + 16/28*-1. Suppose -4
{ "pile_set_name": "DM Mathematics" }
wrt s. 6 Let j be 2 + -1 + 9/3. Let k(t) = 0 - 3*t**4 + 9 - 6 + 4*t**j. Let i(s) = s**4 + 2. Let q(a) = 5*i(a) - 4*k(a). Find the first derivative of q(n) wrt n. 4*n**3 Let b(g) = -g**3 + 4*g**2. Let y be b(4). Let m be (-5*(-3 + 4))/(-1) - 3. Find the second derivative of 2*f + f**m + 0*f + y*f + f wrt f. 2 Let d be 1 + (1 - 4/(-2)). Find the third derivative of -d*y**3 + 6*y**3 + 8*y**2 - 6*y**2 wrt y. 12 Let c(u) = 38*u**2 + 22*u - 3. Let b(k) = -39*k**2 - 21*k + 4. Let h(d) = 3*b(d) + 4*c(d). Find the second derivative of h(w) wrt w. 70 Let u(f) = -f**4 + f**3 - 1. Let h(t) = -8*t**4 - t**3 - t + 1. Let i(v) = -h(v) - u(v). Find the second derivative of i(k) wrt k. 108*k**2 What is the third derivative of -8*w**6 + 0*w**4 + 0*w**4 - 310*w**2 + 304*w**2 wrt w? -960*w**3 Let w(s) = 2*s**2 + 2*s - 1. Let m(c) = -c. Let k be (4/12)/(2/12). Let b(h) = k*m(h) + w(h). Differentiate b(z) with respect to z. 4*z Let m(t) be the first derivative of -2 - 4/3*t**3 + 1/4*t**4 + 0*t**2 + 0*t. Find the third derivative of m(q) wrt q. 6 Let u(t) be the second derivative of -t**7/14 - t**3/3 + 11*t. What is the second derivative of u(g) wrt g? -60*g**3 Let u(c) be the third derivative of -c**6/60 + 2*c**3/3 - 4*c**2 - 2. What is the first derivative of u(p) wrt p? -6*p**2 Find the second derivative of 11*k - 2*k - 13*k**3 - 6*k**3 wrt k. -114*k Let b be 6/(-2 + (1 - 0)). Let q be b/4*6/(-9). Find the first derivative of 4*u + 0 + q - 5*u + 0 wrt u. -1 Let i = 5 - 5. Suppose i = -3*f + 3*t + 9, -5*f - 3*t + 11 = -4. Differentiate -5 + 1 - l + f with respect to l. -1 What is the second derivative of 21*o**3 - 21*o**3 + 2*o - 3*o**5 + 2*o**5 wrt o? -20*o**3 Let k = -8 - -7. Let p(v) = 3*v**3 + v**2 + 7*v + 1. Let m(y) = y**2 + 1. Let d(i) = k*m(i) + p(i). What is the second derivative of d(f) wrt f? 18*f Let j(m) be the second derivative of 7*m**4/12 + 11*m**3/3 + 21*m. What is the second derivative of j(v) wrt v? 14 Let b be (6/5)/((-9)/30). Let r = b - -15. What is the first derivative of 0*c**4 - 3*c**4 - 10 + r wrt c? -12*c**3 Let m(o) be the first derivative of o**6/3 + 3*o**3 + 1. Find the third derivative of m(s) wrt s. 120*s**2 Find the third derivative of 9*z**3 + 19*z**2 + 49 - 49 wrt z. 54 Let h be 108/20 - 2/5. What is the second derivative of -5*v**2 - 3*v**4 - 2*v + h*v**2 wrt v? -36*v**2 Let q = 10 - -7. Find the first derivative of -10 - 2*y**4 + 23 - q wrt y. -8*y**3 Let g be 0/((-18)/(-12)*(0 + 2)). Let w(h) be the second derivative of h + 0*h**3 + g - 1/6*h**4 - h**2. Differentiate w(t) with respect to t. -4*t Let m(s) be the third derivative of 1/20*s**5 + 0*s + 0*s**4 - 1/70*s**7 + 0*s**6 + 0*s**3 - 4*s**2 + 0. Find the third derivative of m(o) wrt o. -72*o Let w = 2/199 - -139/5970. Let o(x) be the third derivative of 0 + 0*x**3 + w*x**5 + 1/12*x**4 + 0*x - 3*x**2. Find the second derivative of o(d) wrt d. 4 Let q(r) = -16*r**4 - 3*r**3 + 11. Let u(g) = g**4 + g**3. Let m(k) = -q(k) - 3*u(k). Find the first derivative of m(s) wrt s. 52*s**3 Let j = -6 - -13. Suppose 3*m = z + 5, 3*z + 8 = 2*m + j*z. Find the third derivative of -a**5 + 0*a**5 - 2*a**m + 3*a**5 wrt a. 120*a**2 Suppose -180 = -5*f + 120. Suppose 2*b = 3*y - f, 4*y - 9 = -2*b + 71. Find the third derivative of 4*g**6 + 20*g**4 - y*g**4 - 3*g**2 wrt g. 480*g**3 Let o(v) be the third derivative of 6*v**7/35 + 7*v**4/6 - 3*v**2. What is the second derivative of o(c) wrt c? 432*c**2 Find the second derivative of 8*q**2 - 5*q + 2*q + 15*q**2 + 3*q**2 wrt q. 52 Let t(h) be the second derivative of 3*h**7/14 - h**3/6 - 8*h. What is the second derivative of t(a) wrt a? 180*a**3 Let s(w) = w**3 - 4*w**2 + 3*w + 1. Let p be s(3). Let c be -5*p/((-10)/6). What is the third derivative of 3*r**6 - c*r**2 + 4*r**2 + 0*r**2 wrt r? 360*r**3 Let i(b) be the first derivative of 14*b - b**5 - 4*b + 0*b**5 + 5. Find the first derivative of i(n) wrt n. -20*n**3 What is the third derivative of -3*i**2 + i**2 - 2*i**2 - 5*i**2 + 3*i**4 wrt i? 72*i Let l(n) = n**3 + n**2 - 7*n + 1. Let w be l(-3). Let v(i) be the second derivative of -1/3*i**3 + 0 + i**2 - w*i. Find the first derivative of v(h) wrt h. -2 Suppose -5*l - 2 = 3*g - g, -4*l - 5*g = -12. Let o be l/(-12) - 55/(-30). What is the second derivative of 0*z + 2*z + 3*z**2 - z - z**o wrt z? 4 Let s be (2 - 4 - -9) + 1. Suppose 2*n + 4 = s. What is the third derivative of 5*p**2 + 23*p**3 + 5*p**4 - 23*p**3 - n*p**2 wrt p? 120*p Let y(l) = 4*l**2 + 2*l. Let t(a) be the first derivative of -2*a**3/3 - a**2/2 + 3. Let d(b) = -7*t(b) - 4*y(b). What is the second derivative of d(s) wrt s? -4 Let f be 1 + 2/((-2)/(-1)). What is the third derivative of 2*c**3 + 0*c**f - 2*c**2 - 4*c**3 + 0*c**2 wrt c? -12 Suppose 5*x = -0*x + 30. Find the third derivative of -11*i**2 + 7*i**2 - i**x - i**6 - i**2 wrt i. -240*i**3 What is the first derivative of -76*n - 3*n**2 + 16 + 76*n - 6 wrt n? -6*n Let u be ((-2)/4*0)/1. Find the third derivative of 3*p**2 + 4*p**5 - 6*p**5 + u*p**2 wrt p. -120*p**2 Suppose 0 = 2*k + 3*k. Let v(f) be the first derivative of -1/2*f**2 + k*f**4 + 0*f**3 - 3/5*f**5 + 0*f - 2. Find the second derivative of v(g) wrt g. -36*g**2 Let y(n) = 2*n**2 - 3*n. Let g be y(2). What is the second derivative of 4 - 1 + 3*s - 3 - g*s**2 wrt s? -4 Suppose -2 - 13 = -3*z. Differentiate 0 - z - i**4 - 4*i**4 with respect to i. -20*i**3 Let c(n) = -n. Let f be c(-4). Differentiate 4 + 2*u**f + 56*u - 56*u - 3 with respect to u. 8*u**3 Let f(m) be the first derivative of 7*m**2/2 - 3*m + 9. Find the first derivative of f(z) wrt z. 7 Let t(c) be the third derivative of -c**5/4 + 11*c**4/24 + 18*c**2. Find the second derivative of t(y) wrt y. -30 Let t(g) be the third derivative of 1/24*g**4 + 0*g**5 + 0*g + g**2 + 0*g**6 + 0 + 0*g**7 + 0*g**3 + 1/168*g**8. What is the second derivative of t(p) wrt p? 40*p**3 Suppose 0 = 2*m - 4 - 4. Find the third derivative of 3*b**2 + 0*b**4 - 3*b**2 - b**2 - 3*b**m wrt b. -72*b Let g(r) be the third derivative of 0*r**5 + 0*r**3 + 1/24*r**6 - 1/6*r**4 + 0 + 0*r + r**2. Find the second derivative of g(o) wrt o. 30*o Find the second derivative of -t**4 + 230*t - 242*t - 19*t**4 wrt t. -240*t**2 Let p(x) be the third derivative of 7*x**6/30 + 4*x**3/3 - 34*x**2. Differentiate p(u) with respect to u. 84*u**2 What is the third derivative of -8*v**5 - 11989*v - v**2 + 9 + 11989*v wrt v? -480*v**2 Let g(m) be the second derivative of m**6/20 - m**5/20 + 7*m**2/2 + 3*m. Let k(w) be the first derivative of g(w). What is the third derivative of k(s) wrt s? 36 Let i(x) be the second derivative of x**8/420 + x**6/180 + x**3/6 + 4*x. Let c(z) be the second derivative of i(z). Find the third derivative of c(m) wrt m. 96*m Let s(k) be the second derivative of 0*k**5 - 2*k - 1/14*k**7 + 0*k**3 + 0 - 1/4*k**4 + 0*k**2 + 0*k**6. What is the third derivative of s(u) wrt u? -180*u**2 Suppose 0 = -6*p + 16 - 4. Find the third derivative of 2*d + d**3 - p*d + 6*d**2 - 11*d**2 wrt d. 6 Let w(q) be the first derivative of 3*q**2/2 - 6*q - 4. Let t(y) = 13*y - 24. Let h(c) = -2*t(c) + 9*w(c). Differentiate h(n) with respect to n. 1 Let c(r) be the third derivative of 0 + 3*r**2 + 0*r - 1/3*r**3 + 0*r**4 + 1/60*r**5. Differentiate c(s) with respect to s. 2*s Find the second derivative of 164*x - x**4 + 3*x**4 - 154*x wrt x. 24*x**2 Let n(s) be the first derivative of -6*s + 0*s**2 + 1 + 0*s**4 + 4/5*s**5 + 0*s**3. Find the first derivative of n(h) wrt h. 16*h**3 Let d(s) = -12*s**3 + s + 26. Let p(u) = -22*u**3 + 2*u + 53. Let z(n) = -9*d(n) + 4*p(n). Find the second derivative of z(c) wrt c. 120*c Let j(c) = -3*c**2 - 3*c - 30. Let q(m) = m**2 + m + 14. Let o(p) = 4*j(p) + 10*q(p). What is the second derivative of o(k) wrt k? -4 Differentiate 6*v + v - 4*v + 10*v - 16 wrt v. 13 Let o(p) be the first derivative of p**4/4 - p**2 + 6. What is the second derivative of o(i) wrt i? 6*i Let m(g) be the third derivative of 1/30*g**5 + 0*g + 0*g**4 + 4*g**2 - 1/30*g**6 + 0*g**3 + 0. Find the third derivative of m(d) wrt d. -24 Let x(w) be the first derivative of -3*w**2 + 50*w - 24. What is the first derivative of x(m) wrt m? -6 Let a(k) be the third derivative of 0*k + 1/40*k**6 + 0 + 0*k**5 + 2*k**2 + 0*k**4 + 5/6*k**3. What is the first de
{ "pile_set_name": "DM Mathematics" }
r(w) wrt w. -2*w Suppose -3*t = 3*j, 3*t - j = -5*j - 4. What is the second derivative of -2*y**2 - t*y + y + 3*y**2 wrt y? 2 Let y(h) = 2 + 1 - 2 + 6*h. Let j = -123 + 127. Let p(g) = -13*g - 3. Let n(l) = j*p(l) + 9*y(l). Differentiate n(r) wrt r. 2 Find the second derivative of 4*o + 4*o**3 - 3*o**3 - 7*o wrt o. 6*o Let u(k) be the second derivative of -7*k**4/3 + 8*k**3/3 - 14*k. What is the second derivative of u(r) wrt r? -56 Let s(r) = -r**3 + 9*r**2 - 5*r - 8. Let c be s(8). What is the first derivative of 19*q**4 - c*q**4 + 2 - 5 wrt q? 12*q**3 Suppose 0 = -2*h + h. Let d = 2 - h. Differentiate -i**d - 3 - 2 + 1 + 5 with respect to i. -2*i Let f(h) = -h**2 - 9*h - 4. Let v be f(-8). What is the third derivative of 4 - v + r**2 - 7*r**2 + 6*r**5 wrt r? 360*r**2 Let a = 7 - 4. What is the third derivative of -34 + 3*h**2 + 34 + 2*h**a wrt h? 12 Suppose -4*a - 5 = 5*q, 0*a - 5*q - 5 = -a. Find the second derivative of a*j**4 + 2*j + 4*j**4 + 0*j - 8*j**4 wrt j. -48*j**2 Find the second derivative of 4*o + 53*o**5 - 51*o**5 + 3*o**3 - 3*o**3 wrt o. 40*o**3 Find the second derivative of -32*i**2 + 10*i**2 + 18*i**2 - 2*i wrt i. -8 Find the third derivative of 5*c**2 + c**6 + 4*c**6 + 3*c**2 - c**6 wrt c. 480*c**3 Let j(b) = 3*b**6 - 4*b**5 + 3*b**2. Let f(z) = -6*z**6 + 7*z**5 - 5*z**2. Let q(l) = -4*f(l) - 7*j(l). What is the third derivative of q(a) wrt a? 360*a**3 Let f = 2 - -2. Find the second derivative of -4*s + 0*s - 2*s**2 - s**2 + f*s**2 wrt s. 2 Let a(b) be the first derivative of 0*b**3 - 1/5*b**5 + 0*b**4 - 2 + 0*b**2 - 2*b. What is the derivative of a(y) wrt y? -4*y**3 Let o(l) be the third derivative of -l**5/12 - 3*l**4/8 + 9*l**2. Find the second derivative of o(q) wrt q. -10 Let x(f) be the second derivative of -f**9/7560 - f**6/144 - f**4/2 + 4*f. Let w(p) be the third derivative of x(p). Find the second derivative of w(a) wrt a. -24*a**2 Let d(z) be the second derivative of -22*z**6/15 + 17*z**3/3 - z - 8. What is the second derivative of d(j) wrt j? -528*j**2 Suppose 4*v - 10 = -v. What is the third derivative of -2*n**2 + n**v + 2*n**2 - 2*n**4 + n**4 wrt n? -24*n Find the third derivative of -2*x**3 + 3*x**3 + 3*x**2 - 7*x**3 - 2*x**2 wrt x. -36 Let x be ((-2)/(-1))/(2/4). Suppose x*f - 10 = -f. What is the second derivative of -i**f + 2*i**2 + i - 2*i wrt i? 2 Find the first derivative of -22*x**4 + 6*x**4 - 1216 + 1209 wrt x. -64*x**3 What is the first derivative of -25 - 11*n**2 + 28*n**2 - 17*n**2 - 17*n**3 wrt n? -51*n**2 Let x(d) be the third derivative of -37*d**6/120 - 2*d**3/3 + 33*d**2. Differentiate x(r) with respect to r. -111*r**2 Let m(n) = 5*n**3 - 18*n - 7. Let a(d) = 3*d**3 - 9*d - 3. Let w(z) = 7*a(z) - 3*m(z). What is the second derivative of w(i) wrt i? 36*i Let d(a) = a**3 - 2*a. Let p(i) be the first derivative of -i - 1 - 1/2*i**2. Let j(h) = d(h) - 2*p(h). What is the first derivative of j(m) wrt m? 3*m**2 Let m(d) = d + 6. Let l be m(-6). Suppose 4*i = 2*f - 12, -4*i - i - 10 = l. What is the third derivative of 2*u**f - 2*u**4 + 5*u**4 - 3*u**2 wrt u? 72*u Let p(u) = 22*u**3 - 3*u**2 - 22*u + 2. Let h(b) = 45*b**3 - 5*b**2 - 45*b + 4. Let c(g) = -3*h(g) + 5*p(g). What is the second derivative of c(z) wrt z? -150*z Suppose -2*g - g = -6. Find the second derivative of 1 + 4*m - 4*m**g - 1 wrt m. -8 Let o(f) = 29*f**2 + 8. Let q(d) = -29*d**2 - 8. Let a(p) = -3*o(p) - 2*q(p). Find the first derivative of a(t) wrt t. -58*t Let p(s) be the second derivative of 0*s**2 + s - 7/20*s**5 + 0 + 1/6*s**3 + 0*s**4. What is the second derivative of p(x) wrt x? -42*x Find the third derivative of y**3 - 3*y**3 + 0*y**2 + 15*y**2 - 30*y**3 wrt y. -192 Suppose o - 3*d - 9 = 6*o, -d = 3. Suppose 6*q - 4*j = 4*q + 14, 5*j + 15 = o. What is the derivative of -q + 0*w - 4*w + 2*w wrt w? -2 Find the third derivative of 5*x**2 - 10*x**2 + 14*x**2 + x**4 wrt x. 24*x Let x(c) be the third derivative of c**5/60 + 5*c**4/12 - c**2. Find the second derivative of x(b) wrt b. 2 Let c(l) = -l**3 + l**2 + l. Let d(b) = 51*b**3 + 4*b**2 - 14*b - 1. Let x(v) = 4*c(v) - d(v). Find the second derivative of x(t) wrt t. -330*t Let h(p) = p**2 + 9*p - 34. Let i be h(3). Let r(w) be the second derivative of 1/3*w**3 + 0*w**i + w + 0 + 1/12*w**4. Find the second derivative of r(a) wrt a. 2 Let p(l) be the first derivative of -l**3/3 + l**2/2 + 2*l + 4. Let i(s) be the first derivative of p(s). Find the first derivative of i(m) wrt m. -2 Suppose 9*h - 9 = 6*h. Differentiate h*o**2 + 5 + o**2 - 5 - 4 wrt o. 8*o Let h = 0 + 4. Suppose -m = -3*m - h, 8 = n - 3*m. What is the third derivative of -2*r**6 - n*r**2 + r**6 + 0*r**6 wrt r? -120*r**3 Let t(x) = x**4 - x**3 + 2*x**2. Let h(q) = -23*q**4 + 7*q**3 - 10*q**2 - 6*q - 1. Let j(z) = h(z) + 5*t(z). What is the second derivative of j(r) wrt r? -216*r**2 + 12*r Let g(o) = -2*o**3 + 23*o - 2. Let a(q) = -10*q**3 + 116*q - 11. Let z(x) = 2*a(x) - 11*g(x). Find the second derivative of z(c) wrt c. 12*c Suppose 5*y = 3*k + 3 + 59, 0 = 5*y - k - 54. Find the second derivative of 5*u + y*u**3 - 15*u**3 + 0*u wrt u. -30*u Let g(j) = 9*j**4 + 4*j**3 + 4*j - 11. Let w(v) = -17*v**4 - 9*v**3 - 9*v + 21. Let f(q) = 9*g(q) + 4*w(q). What is the derivative of f(k) wrt k? 52*k**3 Let k(z) = z + 4. Let m be (-3)/(-6)*(1 + -1). Let r be k(m). What is the derivative of 1 + 0*n - n**r + 0*n wrt n? -4*n**3 Let r(n) be the first derivative of 0*n**4 + 0*n**5 + 0*n**6 + 0*n**2 - 1 + 0*n - 5/7*n**7 + 4/3*n**3. What is the third derivative of r(c) wrt c? -600*c**3 Let j be 80/5*(-3)/(-6). Find the second derivative of 4*u - j + u**5 + 8 wrt u. 20*u**3 Let c(q) be the second derivative of q**9/15120 + q**6/240 - q**4/4 + 3*q. Let s(t) be the third derivative of c(t). Find the second derivative of s(f) wrt f. 12*f**2 Suppose 12 = 4*x, -3*x + x = g - 8. Find the second derivative of 4*q - g*q + 3*q**2 + q wrt q. 6 Let o(b) = -b**3 + b**2 - 1. Let u(i) = 5*i**3 + 3*i**2 - 2. Let a(k) = -2*o(k) + u(k). What is the third derivative of a(x) wrt x? 42 Let n(m) = m**2 + 2*m - 1. Let i be n(1). Let l(v) = -v + 10. Let r be l(8). Differentiate 0*u**2 - 1 - 4*u**r + 2*u**i with respect to u. -4*u Let h(k) be the third derivative of -k**7/210 - 5*k**4/24 - 5*k**2. Find the second derivative of h(p) wrt p. -12*p**2 Suppose 4*l - 2*l = 0. Let s(u) be the first derivative of 1/2*u**2 + 0*u + l*u**4 + 2 + 2/5*u**5 + 0*u**3. What is the second derivative of s(x) wrt x? 24*x**2 Let r(t) be the first derivative of -t**6/6 + 4*t**2 + 4. Find the second derivative of r(y) wrt y. -20*y**3 Let t(u) = -u**3 - 23*u**2 - 84. Let b(j) = j**3 + 11*j**2 + 41. Let m(w) = 5*b(w) + 3*t(w). Differentiate m(i) wrt i. 6*i**2 - 28*i Let v(h) = -h**3 + h**2 + h - 1. Let c(o) = 16*o**3 + 6*o**2 - 7*o + 7. Let f(s) = 3*c(s) + 21*v(s). Find the third derivative of f(y) wrt y. 162 Let g(z) = -z**2 + 6*z - 6. Let q be g(4). Find the third derivative of 3 + 5*s**2 - 3 - 6*s**q - s**6 wrt s. -120*s**3 Let g(h) = h + 1. Let a(x) = -7*x - 5. Let i(r) = 7*r + 5. Let t(w) = 6*a(w) + 7*i(w). Let p(n) = -4*g(n) + t(n). Differentiate p(k) wrt k. 3 Let y(m) be the first derivative of m**6/20 - m**5/60 - 5*m**2/2 + 8. Let h(q) be the second derivative of y(q). Find the third derivative of h(u) wrt u. 36 Let y = 6 + -4. What is the third derivative of 4*t**y + 2 + t**4 - 2*t**2 - 2 wrt t? 24*t Suppose -2*j - 18 = -2*s, -22 = -5*s + j + 7. Suppose 14 = s*u + 4, 4*c - 6 = u. Find the third derivative of 4 + c*r**4 - 4*r**2 + 5*r**2 - 4 wrt r. 48*r Let t = 27 + -24. Let z(a) be the third derivative of 0*a - 3*a**2 - 1/2*a**t + 0 + 0*a**4 - 1/30*a**5. Differentiate z(s) with respect to s. -4*s Let v be -1*1 + (-3)/3. Let a = 4 + v. Find the second derivative of -2*l + l**2 + l**a - l**2 wrt l. 2 Let c(j) = 13*j**3 - 65*j**2 - 9*j - 118. Let w(o) = -6*o**3 + 33*o**2 + 4*o + 59. Let k(d) = -4*c(d) - 9*w(d). Find the first derivative of k(s) wrt s. 6*s**2 - 74*s Let o(j) = -9*j**4 + 8*j**2 - 8*j + 20. Let r(s) = -3*s**4 + 3*s**2 - 3*s + 7. Let d(y) = -3*o(y) + 8*r(y). What is the derivative of d(l) wrt l? 12*l**3 Let z(f) = 12*f**4 - 34*f**3 + 12*f + 34. Let c(j) = j**4 - 3*j**3 + j + 3. Let x(q) = 68*c(q) - 6*z(q). What is the second derivative of x(u) wrt u? -48*
{ "pile_set_name": "DM Mathematics" }
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0 What is the thousands digit of 5774371? 4 What is the tens digit of 322127? 2 What is the hundreds digit of 403507? 5 What is the units digit of 16986139? 9 What is the hundred thousands digit of 2600996? 6 What is the millions digit of 21481770? 1 What is the ten millions digit of 16188997? 1 What is the units digit of 765140? 0 What is the tens digit of 2106749? 4 What is the hundreds digit of 377026? 0 What is the units digit of 256412? 2 What is the tens digit of 17443488? 8 What is the hundreds digit of 641292? 2 What is the hundred thousands digit of 103455? 1 What is the tens digit of 586283? 8 What is the ten millions digit of 16126560? 1 What is the tens digit of 44486? 8 What is the units digit of 312831? 1 What is the millions digit of 18191635? 8 What is the ten thousands digit of 1637920? 3 What is the hundred thousands digit of 1939356? 9 What is the thousands digit of 5515054? 5 What is the hundreds digit of 163335? 3 What is the hundreds digit of 132973? 9 What is the units digit of 4230381? 1 What is the tens digit of 246297?
{ "pile_set_name": "DM Mathematics" }
Solve -2*j + 14 = 2*w, -j - a*w - 4 = -5*j for j. 3 Suppose 4*x = -5*f + 478, 3*f - 135 - 150 = -3*x. Let v = f + -12. Let z = 91 - v. Solve 5*n - 2*n + z*r = -14, -5*n = -4*r - 26 for n. 2 Let o be ((-45)/10 - -3)/(6/(-64)). Suppose o*s + 22 = 86. Solve -2*y + 14 = -2*u, s*u + 18 = 3*y - 4*y for y. 2 Suppose 5*w = 4*z + 296, -2*z - 84 = -5*w + 74. Let r = -62 - z. Suppose 2*d = r*d. Solve -i - 3*y + 10 = d, -2*i + 5*y + 1 - 25 = 0 for i. -2 Let f(o) = -o**2 - 8*o - 2. Suppose 14*t + 14 = 12*t. Let y be f(t). Suppose g + 1 = -2*w - 3, -y*g = -5*w + 20. Solve -n - 3*c - 3 = w, 4*n - c - 10 = 4 for n. 3 Let r(q) = -3*q - 13. Let o be r(-8). Suppose -5*z = -o*z. Solve z = 2*f - y + 11, 5*f - 3*y + 35 = y for f. -3 Suppose -6*u = -27 + 3. Suppose u*k + 35 = -k. Let s(h) = -h - 1. Let w be s(k). Solve 31 = 3*c - 5*n - w, -20 = 4*n for c. 4 Let a(h) = 10*h - 1. Let q be a(7). Let x = -69 + q. Let p(o) = o**2 + 2*o + 2. Let u be p(-3). Solve x = -u*k - 2*r - 27, -4*k + 3*r + 2 = 19 for k. -5 Let j = -84 - -67. Let f(k) = -k**3 - 16*k**2 + 18*k + 17. Let l be f(j). Solve -5*y = -3*g + 46 - 14, 4*y + 2*g + 8 = l for y. -4 Let y be 16/5 - 3 - 78/(-10). Suppose -28*r + 29*r = y. Suppose -4*h = -0*m + m - 6, 0 = 4*h + 4*m. Solve 2*i - h*a + r = -0*i, 0 = -a for i. -4 Let u(a) = a**3 + a**2 + 3*a + 4. Let y be u(0). Solve -4*z = -8*t + y*t + 8, -5*z - 22 = -t for t. -3 Let p = 286 - 120. Let t = -151 + p. Solve 22 = 2*v - v + 4*k, 3*k = t for v. 2 Let h = 11 + -11. Let k be (-10 - (-61)/4) + 35/(-28). Solve -3 = b, h*j - j + 9 = -k*b for j. -3 Suppose -3*c - 3*n = -2*c - 69, -147 = -2*c + 3*n. Suppose -9*k + 11*k - 16 = -2*i, -c = -4*i + 4*k. Solve 2*r - 1 = 3*v, 6*r + i = 2*r + v for r. -4 Let p = 80 - 73. Suppose 6*i = 5 + p. Let t(l) = l - 5. Let f be t(8). Solve -c = -3*j + i*j - f, 0 = -3*j + 2*c - 11 for j. -5 Let o(i) = -i**3 + 8*i**2 + 7*i - 18. Let s be o(8). Let k = s + -38. Let b = 4 - k. Solve -5*n - 4*u - 1 = 0, 3*u + 2 = -n + b for n. -1 Suppose -19 - 16 = 301*b - 308*b. Solve 0 = d - b*m + 6, 3*m = 5*d - m - 12 for d. 4 Suppose 81*r = -71 + 92 + 141. Solve 3*q = 3, -5 = r*j + 34*q - 37*q for j. -1 Let d(v) = 173*v + 349. Let u be d(-2). Solve -3*z - u*i - 1 = 20, 5*z - 4*i + 8 = 0 for z. -4 Suppose 0 = -2*p + 684 + 436. Let g be (-2)/8*p/(-28). Solve 2*h + w + 4 = 0, -4*h + w - g = -3*h for h. -3 Let q = 15906 + -15902. Solve 0 = -8*g + q*g + 20, -5*g + 33 = -4*a for a. -2 Let d = -2 + 2. Suppose -2*m - 5*f + 6 = -7*f, -5*m + 3*f = -17. Suppose 3*b - 17 = v + v, -m*b + 5*v + 25 = d. Solve -4*u = r + 5, 5*r + b = -0 for u. -1 Suppose -3*w - 6*h + h - 11 = 0, 4*h + 25 = 3*w. Suppose -1 = w*z - 16. Let b be z/(1/(3 + -2)). Solve 6 = -2*g + b*y, 3*y + 12 = -4*g + y for g. -3 Let k(t) = 16*t + 9. Let d be k(0). Suppose -7*y + 3*y + d = f, -5*f = -5. Solve -n = 4*n - 2*c + 2, y*n - 3*c = 8 for n. -2 Let j be (-10)/(6/(-24)*8). Solve a - l = -10 + j, 3*l - 7 = -5*a for a. -1 Let h(p) = p**2 - 5*p + 3. Let d be h(7). Let l = 8 + -3. Suppose 3*y = -l + 11. Solve -y*r + r + 4*f + d = 0, 3*f = 2*r - 14 for r. 1 Suppose 2*o + 10 = 5*j, 2*j + 0*j - 4 = 5*o. Let k(x) = 75*x - 7345. Let d be k(98). Solve d*w - 6 = -2*u + 9, 4*u + j*w = -10 for u. -5 Let p = 51 - 45. Suppose -p*x = -7*x + 2. Suppose 0 = -x*c - 4*r + 4, 0 = -c - 0*r - 4*r + 2. Solve c*y + 5*j - 4 = 1, 3*y - 2*j = 17 for y. 5 Let u(b) = 7*b**3 - 2*b**2 + 1. Let d be u(1). Let m = 19 - d. Suppose -x + 18 = 4*j, 4*x + 60*j = 65*j - 12. Solve 3*f + m = 2*f - 4*k, -5*f = -k + x for f. -1 Suppose 5*f + 4 - 9 = 0, -3*b - 3*f - 36 = 0. Let c be (111/39 - 3) + (-145)/b. Let w = c - 4. Solve 0 = -0*u + 2*u - n + w, n - 4 = u for u. -3 Suppose -5*n - 5*o = 0, -n - n - 5*o - 15 = 0. Solve g = -n*h - 6, 2*h + 16*g + 5 = 13*g for h. -1 Suppose 0 = -r + 2*v + 1, 3*r - 7 = -131*v + 136*v. Solve -a = -5*m + 36, -34*a + m = -32*a + r for a. -1 Let r(y) = y**3 + 25*y**2 + 3. Suppose -5*m + 3 = 8, -72 = 3*g - 3*m. Let o be r(g). Solve 0*w + 4*w + b = 0, -2*b = -o*w for w. 0 Let s(l) = -l + 59. Let v be s(30). Let h = v + -26. Solve 5*k + 4*b + 5 = 22, -b + h = 0 for k. 1 Let l be (-39)/(-15) - 48/80. Suppose 4*j = 5*c - 13, -l*c = -6*j + 2*j - 10. Solve -5*d = -2*z - 22, -z + c + 2 = d for z. -1 Let r(i) = -2*i**3 - 20*i**2 - 42*i - 53. Let d be r(-8). Solve -3*f + q = 7, -f + 3 - d = 4*q for f. -4 Let r = -34555 + 34559. Solve 2*v + 7 - 17 = -5*n, -2*n = -3*v - r for n. 2 Let f be (-1)/((-3)/9 - 0). Let p(h) = 4*h - 2*h + f*h + 70 - 73. Let l be p(1). Solve -5*s = -3*d + l, -5 = -5*d + 5*s + 5 for d. 4 Suppose -2*u + 4*r = -12, -4*u + 5 = r - 1. Suppose 7*y - u*y - 4*p = 292, 3*p = 4*y - 233. Let f = y - 56. Solve 2*c - 3*i = 0, -c - i - i - 7 = f for c. -3 Let i be (481/(-91) + 6)*49. Solve 0 = 4*h + 5*g, -2*h - h + 5*g + i = 0 for h. 5 Suppose 5*r + 12*r - 51 = 0. Suppose -o = -5*a + 17, -r*o = a + o + 5. Solve -4*t = 3*p + 7, -6*p - a = -2*t - p for t. -1 Suppose 4*a - 54 = 5*d, 3*d - 17 = 3*a - 53. Solve -a*t + 26 = -4*z, 2*t = 2*z - 3*z + 11 for z. 1 Suppose 0 = 12*g - 13*g. Suppose 5*v - 4*o = -8, o = -g*v + 3*v + 2. Let x = 3 - 3. Solve -4*i = u, x = 4*u + 4*i - v*i - 12 for u. 4 Let m = 24087 - 24077. Solve 3*q = b + m, b + 6*q - 15 = 4*q for b. 5 Let s be (296/666)/(4 + (-68)/18). Solve -c - 2*n + 3 = 0, c = 3*n + 5 - s for c. 3 Let q be 5*(18/10 + -1). Suppose 3 = -4*g - 4*s - 65, 26 = -2*g + 2*s. Let k = g - -28. Solve -3*d - 3 - 1 = -2*c, -c - q*d + k = 0 for c. 5 Let h be (-35)/(-2) - 2/(-4). Suppose 0 = -7*x - 326 + 81. Let i = 35 + x. Solve -5*u + 2*k = i, u - 3*k = -5 + h for u. -2 Let j be ((40/(-3))/4)/((-4)/6). Solve -15*r - 19 = -10*r - 2*q, j*q - 13 = r for r. -3 Suppose 0 = 22*l - 71 - 149. Solve 23*k - 4*u - 31 = 18*k, 2*k = -4*u - l for k. 3 Suppose o - 2*y - 5 = -2*o, 2*y = -5*o + 35. Solve 5*a + 8 = -2, o*p - 2*a = -6 for p. -2 Let b be 3*4/(-54) - (-2)/9. Suppose -3*n + j - 149 = b, 19 = 4*j - 1. Let p = 53 + n. Solve -4*i - 21 = p*l, i + 2*l + 8 = -2*l for i. -4 Let g be 290/174 + (-20)/12. Solve 7*b = 2*b + 20, g = -2*t + 5*b - 30 for t. -5 Suppose -3*m - 260 = 2*m. Let w = -21 - m. Let f(x) = -x**3 - 2*x**2 + 21*x + 52. Let r be f(-4). Solve 3*l = -5*z + w, r*l + 4*l = -3*z + 23 for z. 5 Suppose 435 + 186 = 23*i. Suppose 0 = 3*p + 5*s, -4*p + s = -3*s - 32. Solve 0 = -2*j + 2*g - 2 + 4, p*j = -3*g - i for j. -3 Suppose 0 = -h - 3*q + 29, -35*h = -32*h + 3*q - 39. Let j = -3 + 5. Let c be j*1/(-4)*-2. Solve -t + 2*t - c = z, -t - z = h for t. -2 Let r(w) = -7*w - 96. Let o be (0 + -1)*(-25 + 40). Let y be r(o). Solve 0 = f + 2*f + y, 0 = 5*l - f - 8 for l. 1 Let u(b) = -b**2 + 38*b + 36. Let m be u(37). Suppose -80*d = -m*d - 14. Solve 2*o - d = 5*y - o, -3*y = -3*o for y. -1 Let j(v) = -42*v - 205. Let l be j(-10). Suppose -28*k = 75 - l. Solve 7*r + 25 = k*a + 2*r, 0 = 4*a - 2*r - 16 for a. 3 Suppose 8*o = 10*o - 14. Let c be o/2*30/21. Suppose -14 = -c*j + 6. Solve 3*i - 2 = -j*t - 7, 0 = -4*i + 2*t - 14 for i. -3 Let t(m) = 2*m + 4. Let k be t(0). Suppose 0 = v + k*v - 15. Suppose 0 = v*x + 3*x. Solve x = j - d - 5, -3*d = 2*j - 6*j + 15 for j. 0 Suppose -745 + 804 = 59*d. Solve -4*x + 2*g = g - 19, 3*g + d = -2*x for x. 4 Let t = 1592 - 1583. Solve -14*o = 2*r - t*o - 16, -8 = -2*r - o for r. 3 Let k(f) = -f**2 - 74*f + 318. Let o be k(4). Solve 4*l - 5*m = o*l - 9, 3*l = -4*m + 10 for l. 2 Let g(p) = 78*p - 35. Let z be g(4). Let j = 277 - z. Let c = 2 + 0. Solve j = 4*a - 3*m + 10, c*a - 3*m + 4 = 4*a for a. -1 Let o(t) = 3*t**2 - 17*t + 53. Let l be o(3). Solve -l = -5*r - 4*g, -18 = 2*r - 6*r + 2*g for r. 5 Suppose 0 = 4*s + 72 + 436. Let u = 52 + s. Let v = u - -80. Solve 0 = 5*t - 25, -h - v*t + 34 = -4*h for h. -3 Let r = 5507 + -5503. Solve -4*a - r = 4*h, 5*a - 2 = 3*a - 3*h for a. -5 Let r = 61361 - 61355. Suppose -2*w + 2*c = 2*w + 14, -2*c + 6 = 0. Let q be w/(-2)*(23 - 1). Solve -3*d - q = 5*t, -r*t - 18 = 4*d - 5*t for d. -4 Let r(o) = o**2 - o - 1. Let v be r(2). Let f be (-3 - (-33)/3) + 3 + -9. Solve -8 + 2 = 2*d + f*g, g - v = -3*d for d. 2 Suppose 48*y + 5 = 49*y. Suppose -6*c = -y*c - 8*c. Solve -x = -3*w - 4, -w = x + 4 - c for x. -2 Let k be 2/3*(273/(-49))/13 + 1424/623. Suppose m = -5*b + 26, 0 = -2*b - b - m + 16. Solve -3*d - 17 = -k*t + 4*t, b*
{ "pile_set_name": "DM Mathematics" }
In base 12, what is -b6 + 5? -b1 In base 5, what is 13 - -2311? 2324 In base 3, what is 10 - 102210? -102200 In base 11, what is 1424 + -2? 1422 In base 3, what is 202120 + -2? 202111 In base 5, what is 0 - 21? -21 In base 13, what is -21 - 8? -29 In base 11, what is 1177 - 2? 1175 In base 11, what is 34a - 7? 343 In base 16, what is 3 + 2b? 2e In base 3, what is -10 + 1210000? 1202220 In base 15, what is 3a2 + -3? 39e In base 5, what is 14042 - -10? 14102 In base 10, what is -261 + -7? -268 In base 3, what is 10000211 + 12? 10001000 In base 8, what is -224 - 1? -225 In base 7, what is -3 - -5101? 5065 In base 9, what is 3 - -1131? 1134 In base 11, what is -4 + -629? -632 In base 5, what is -2431 - 3? -2434 In base 11, what is 172 - 5? 168 In base 16, what is 303 + 3? 306 In base 9, what is 1037 - 23? 1014 In base 12, what is -5 - -53? 4a In base 4, what is -11132 + 13? -11113 In base 11, what is -5371 + -4? -5375 In base 13, what is 85 - 0? 85 In base 10, what is 2692 - 2? 2690 In base 11, what is -8 - -985? 978 In base 7, what is 542 - -3? 545 In base 4, what is -100 - -10? -30 In base 4, what is 1112 - 11? 1101 In base 6, what is 2 + -101? -55 In base 16, what is -1 + 60? 5f In base 2, what is 1100000111 + -1? 1100000110 In base 14, what is -4 + -3? -7 In base 16, what is -12 - -3? -f In base 2, what is 1 - 11011001? -11011000 In base 4, what is 3 - 20233? -20230 In base 9, what is 36 - -65? 112 In base 14, what is -5d3 + 2? -5d1 In base 4, what is 10 + -12113? -12103 In base 2, what is -11100111 + 100010? -11000101 In base 14, what is -5 + 74? 6d In base 7, what is 5 - -5? 13 In base 13, what is -7378 - -3? -7375 In base 12, what is b6 + -a? a8 In base 2, what is -1010110110111 - -11? -1010110110100 In base 2, what is -10000111 + -100? -10001011 In base 7, what is -102 - 4? -106 In base 13, what is -16 + -b? -24 In base 4, what is 12320 - -10? 12330 In base 2, what is 100 - -100111? 101011 In base 15, what is 2 - 65? -63 In base 10, what is 75 - -2? 77 In base 16, what is 2 - 3c2? -3c0 In base 2, what is 1011001111 + 101? 1011010100 In base 11, what is -191 + -3? -194 In base 10, what is -15 - -8? -7 In base 13, what is -4a + 27? -23 In base 6, what is -1201 + -3? -1204 In base 10, what is -393 + 4? -389 In base 12, what is 15 + -91? -78 In base 16, what is 79 - -2? 7b In base 5, what is 3 - -23313? 23321 In base 15, what is -12 + 37? 25 In base 4, what is -10 - 2320? -2330 In base 7, what is 212 + 52? 264 In base 16, what is -1 - -d8? d7 In base 15, what is -72 + 1? -71 In base 14, what is -45 - 3? -48 In base 3, what is -1112000120 + -12? -1112000202 In base 10, what is 274 - -2? 276 In base 15, what is 0 - 30? -30 In base 5, what is -4 + -130? -134 In base 15, what is 4cc - -1? 4cd In base 10, what is -39 - -42? 3 In base 6, what is -103 + -111? -214 In base 8, what is -33 + 235? 202 In base 10, what is 4239 - 10? 4229 In base 8, what is 3 + 153? 156 In base 4, what is 0 - 1002? -1002 In base 16, what is 383e + 0? 383e In base 2, what is -1 - 1101010110? -1101010111 In base 16, what is 2 + -41? -3f In base 4, what is 20 + -121? -101 In base 3, what is -10 - -12111? 12101 In base 3, what is 2 + -20122? -20120 In base 7, what is 1131 + 0? 1131 In base 15, what is -2b - 257? -283 In base 11, what is 5 - -60? 65 In base 4, what is 11011 - -22? 11033 In base 15, what is 5 + 11? 16 In base 5, what is 1 - 1110? -1104 In base 12, what is -15 - -32? 19 In base 4, what is 2220221 + 2? 2220223 In base 6, what is -25 - 220? -245 In base 14, what is -4 + 25? 21 In base 4, what is 2 + -213? -211 In base 4, what is -1 - -31030? 31023 In base 8, what is -12646 - -5? -12641 In base 4, what is -33 - 31100? -31133 In base 4, what is -1 - -110? 103 In base 16, what is -4 - -f? b In base 5, what is 143 - -10? 203 In base 9, what is -3 + 205? 202 In base 6, what is -10 - 102? -112 In base 4, what is 12020 - 10? 12010 In base 8, what is 1 - -357? 360 In base 2, what is 1 + 10000100000? 10000100001 In base 10, what is -160 + -6? -166 In base 15, what is 25c + -1? 25b In base 7, what is 1006 + 5? 1014 In base 10, what is 1920 + 3? 1923 In base 6, what is 100 + -2? 54 In base 8, what is 2007 - -5? 2014 In base 12, what is -108 + 5? -103 In base 7, what is 0 + -654? -654 In base 13, what is -3 - 322? -325 In base 5, what is 10 + 11? 21 In base 2, what is -101101001 + -10? -101101011 In base 3, what is 122112 + -20? 122022 In base 12, what is -1 + -14? -15 In base 2, what is -1111 + -1001? -11000 In base 12, what is 42 - -b? 51 In base 12, what is 552 - 1? 551 In base 16, what is 42 - -9? 4b In base 14, what is 213d - 2? 213b In base 4, what is 1 + 1000? 1001 In base 4, what is 21223 - 31? 21132 In base 2, what is 0 + -100101011? -100101011 In base 11, what is 2a1 + -5? 297 In base 9, what is -15 + -117? -133 In base 13, what is 9 - b? -2 In base 11, what is 0 - -95? 95 In base 14, what is -2 - -ba? b8 In base 7, what is 31 - -25? 56 In base 11, what is -a - 5? -14 In base 16, what is 5 - 9? -4 In base 5, what is -10 - -2022? 2012 In base 3, what is 1 - -11002? 11010 In base 2, what is 1010001010 + 0? 1010001010 In base 11, what is 80 - -a? 8a In base 10, what is -24 + -1098? -1122 In base 13, what is 3 - -6a? 70 In base 8, what is 5100 - -3? 5103 In base 4, what is 12230 + -10? 12220 In base 4, what is 1100 - -2222? 3322 In base 12, what is -16 - 0? -16 In base 7, what is 223 + -10? 213 In base 8, what is -3 - -6? 3 In base 15, what is -3 + -325? -328 In base 6, what is -2202 + 1? -2201 In base 12, what is a + 3b? 49 In base 14, what is -c + -12? -20 In base 13, what is -9 + 3c? 33 In base 9, what is -155 - -23? -132 In base 7, what is -24221 + -3? -24224 In base 15, what is -22e - 3? -232 In base 10, what is 4334 + 1? 4335 In base 3, what is -202202202 - 0? -202202202 In base 3, what is 10212 - 1? 10211 In base 6, what is -4 - -4345? 4341 In base 16, what is 1 - -2e? 2f In base 9, what is 1 - 32? -31 In base 16, what is 2 - -2e? 30 In base 9, what is 21 + -5? 15 In base 9, what is -327 + 2? -325 In base 12, what is 310 + 5? 315 In base 9, what is 0 - 885? -885 In base 14, what is 4b2 - -2? 4b4 In base 2, what is -101 - -100110100? 100101111 In base 12, what is 23 + 3? 26 In base 6, what is 0 - -2240? 2240 In base 13, what is -12 + -11? -23 In base 15, what is -327 - 24? -34b In base 16, what is 1 + 9b6? 9b7 In base 7, what is -2 + 2500? 2465 In base 15, what is 1666 - -4? 166a In base 14, what is -c33d - -2? -c33b In base 9, what is 5 + -842? -836 In base 7, what is 10 - -261? 301 In base 11, what is 5 + -1665? -1660 In base 12, what is 420 + 5? 425 In base 5, what is -2 + 10030? 10023 In base 9, what is -465 - 3? -468 In base 6, what is 155 + 0? 155 In base 5, what is 30 - -120? 200 In base 5, what is -14 - 414? -433 In base 4, what is 113201 + 11? 113212 In base 5, what is -44002 - -4? -43443 In base 12, what is -274 - 5? -279 In base 16, what is -ee + -3? -f1 In base 13, what is 5293 - 4? 528c In base 11, what is -24 - 306? -32a In base 6, what is -1 + -1151? -1152 In base 4, what is 1 + 202? 203 In base 10, what is 120 + 4? 124 In base 12, what is 47 + 3? 4a In base 4, what is -30133 - 11? -30210 In base 6, what is 432 + -2? 430 In base 13, what is 1b3 - -5? 1b8 In base 4, what is -322 - 111? -1033 In base 14, what is -3 + -dc? -101 In base 7, what is -1301 + 1? -1300 In base 10, what is -1 + -239? -240 In base 4, what is -10 + -10203? -10213 In base 13, what is 0 - 140? -140 In base 16, what is 0 - -1021? 1021 In base 4, what is -1 + -222120? -222121 In base 10, what is 522 - 2? 520 In base 13, what is -46 + -16? -5c In base 3, what is 0 - -2011022? 2011022 In base 3, what is -10202210 - -1? -10202202 In base 8, what is -2 + -237? -241 In base 16, what is -31 + -4? -35 In base 8, what is 5 - 25? -20 In base 11, what is 571 - -4? 575 In base 8, what is 3 + 1036? 1041 In base 14, what is -1c + -2? -20 In base 4, what is 2020 + -3? 2011 In base 10, what is 10 + -91? -81 In base 8, what is 3 - 17? -14 In base 4, what is -10103111 - -11? -10103100 In base 5, what is 0 - -3? 3 In base 3, what is -1 + -11202? -11210 In base 6, what is 1 - 311? -310 In base 10, what is 8 - 243? -235 In base 15, what is cc + 1? cd In base 8, what is -22 + 13? -7 In base 8, wha
{ "pile_set_name": "DM Mathematics" }
et f = -137/3 + 47. Let j = -33 - -36. Suppose -3*x = 2 + 7, j*x + 4 = -5*b. Which is bigger: b or f? f Let a be (2 - 0) + -4 - 105/(-21). Which is smaller: a or -844? -844 Suppose -5*s + 6047 = -783. Which is smaller: 1369 or s? s Let n = 0.19206 + -0.39206. Let f = 0 - 0.1. Let x = -0.3 - f. Is x <= n? True Let u = -3208 - -3207. Which is smaller: -1/3467 or u? u Suppose 241952 + 189149 = -2635*a - 19579 + 95. Let h = 2.8 + -3. Which is greater: h or a? h Let o(l) be the second derivative of 3*l**3 + 271*l**2/2 + 151*l. Let r be o(-15). Is 6/457 at most r? True Let w = 661/4 - 331/2. Which is smaller: 231.3 or w? w Let p = -2/35011 + 9978151/280088. Is -11 greater than or equal to p? False Suppose -5*i - 4 = -4*i. Let b be i/(-6) + 420/(-639). Suppose 4 - 10 = c + z, 0 = 2*z + 12. Which is smaller: b or c? c Let f = 4 + -5. Suppose 2 - 4 = -4*u + 2*b, -4*b - 12 = -4*u. Let m be (3/15*f)/(-1)*u. Is -3 smaller than m? True Let n(l) = -6*l - 166. Let h be n(-30). Let w be h/(-3)*(-14)/(-147). Is w less than 0? True Let s = -7.903 + 0.013. Let u = s + 7.89. Which is smaller: -281 or u? -281 Let i = -0.3 - -1.3. Let u = i - 1.2. Let l = -47 + 49. Is l less than or equal to u? False Let o(b) = -1185*b + 19000. Let g be o(16). Suppose 4*q - 93 - 55 = 0. Which is greater: g or q? g Let r = 3028798913/22600707 + -509/81591. Let u = r + -134. Is -1 > u? False Let h be 2/(-29) + (-206968)/(-1189). Which is greater: h or 178? 178 Let i = -340 - -127. Let c = i - -212.965. Is c >= -1? True Let q = 0.61 + -1.36. Let d = -0.29 - q. Let m = -0.16 - d. Which is smaller: 2/7 or m? m Let x be (-10)/7 + 260/280 + 1/(-2). Which is smaller: x or -84/199? x Let r(q) = q - 6. Let w be r(6). Let g = -4005.3 - -4007.3. Is g greater than w? True Let x = -2 + 7. Let q be 13 - (27 - 26)*(0 - -3). Let m be x/q + 98/(-12). Which is smaller: m or -7? m Let y = 2127047 + -1076286253/506. Let j = y + 1/46. Are -1 and j non-equal? True Let d(l) = -l - 4. Let y be d(-2). Let j = -3943681/36 - -109559. Let f = 47/4 - j. Is y > f? False Let a(q) = 138*q**2 - 19*q. Let w be a(2). Is w equal to 29? False Suppose 345 = 6*z - 189. Suppose -5*c + x + 116 = -0*x, 4*c + 3*x = z. Let o = -31 + c. Are o and -11 non-equal? True Let u be 923/(-1838) + ((-7)/(-2))/7. Let g = u + -1820/8271. Is 3/5 >= g? True Let v = -1 + -11. Let b(y) = 41*y**2 - 310*y + 159. Let l be b(7). Which is greater: v or l? l Let s be 32927/(-209) - (12/18)/((-22)/18). Do -141 and s have the same value? False Let g = -527 + 534. Let x(i) = 6*i**2 - i - 18. Let b be x(g). Which is smaller: 268 or b? 268 Let o(y) = 23*y - 66. Let l be o(6). Suppose -l*i = -79*i - 2562. Is -366 at least i? True Let n(z) = -z**2 + 10*z + 13. Let t(o) = 2*o**2 - 19*o - 26. Let v(j) = 5*n(j) + 3*t(j). Let g be v(9). Suppose 0 = g*c - 20. Which is greater: 19/4 or c? 19/4 Let p be ((-11)/((-33)/18))/(1/17). Let z = -102 + p. Let h = -37145/29 + 1281. Which is smaller: z or h? z Suppose -2*a + t = a - 31, -38 = -2*a + 5*t. Let k = 1858 + -1847. Which is smaller: a or k? a Let y(p) = p**3 + 18*p**2 - 4*p - 16. Let h be y(13). Is h less than or equal to -2? False Let g = -16 - -20. Let l be (52/164 - 1)/(g/2). Which is smaller: -1 or l? -1 Suppose -71*g + 66*g + 75 = 0. Let p(u) = u**2 - 16*u + 32. Let a be p(g). Which is smaller: a or 16? 16 Let m(z) = 2*z**3 + 15*z**2 - 4*z + 8. Let q be m(-8). Let w be q/4*(-5)/10. Suppose 15 = w*v - 3. Which is greater: 3 or v? v Suppose -n - 13 = v, -6*n + n - 11 = 2*v. Let o = v + 17. Let h = -356 + 13174/37. Which is smaller: h or o? o Suppose 0 = -5*k - 3*t + 10, 5*t + 6 + 9 = -2*k. Suppose -k*i + 2*f + 27 = 566, -330 = 3*i + f. Which is bigger: -110 or i? i Suppose 5*s - p - 150 = 0, -p = -3 - 2. Suppose 35*c = s*c + 92. Suppose 48 = -0*t + 2*t. Which is smaller: c or t? c Let n = -229 + 228.8887. Let u = n + 0.0633. Do -2/5 and u have the same value? False Let v be 2/((-20)/2 - -3). Let h be ((-213744)/5376)/(-73) - ((-12)/(-7))/2. Are v and h equal? False Let r = -41136 + 41136.6. Which is smaller: r or 895? r Let s = -214/147 - -128076/87955. Is s less than or equal to 1? True Let k = 187631/3850 - -29/350. Let x = k + -49. Is 4/7 smaller than x? False Let f be (7821/(-66))/(10/(-8) + 2). Suppose -16*w - 1513 - 1031 = 0. Is w at most f? True Let j be 364/16 - (-12)/16. Suppose 156 = 6*x + 12. Is x smaller than j? False Let d = 52 - 53. Let g be (-1 - (1 - 3))*(-2)/d. Suppose -6 + 4 = g*h. Is 2/19 > h? True Let v be 2 - (22/(-1120))/((-9)/996). Let s = 8/105 - v. Do 1/4 and s have the same value? True Suppose 2*c - 1178 + 46 = -z, -4*z - 3*c = -4553. Which is greater: 1140 or z? z Let u(x) be the second derivative of x**3/6 + 65*x**2/2 - 96*x + 1. Let s be u(-5). Suppose -2*a = -0*a - 120. Is a equal to s? True Suppose 3*w + 64 = 94. Suppose -7*n + 10*n - 181 = 2*y, -w = -2*n. Is y smaller than -167/2? False Let a = 0.0919 - -0.1081. Is a greater than -1233? True Suppose -55*k = -53*k - w + 16523, 0 = -3*w + 15. Is -8259 < k? False Suppose -f - m - 80 = 0, 0*f + 4*f - 5*m = -338. Let p = f - -80. Let t = -25/2 - -12. Is t bigger than p? True Suppose -6958 = -7*c - 42*c. Is c at least 144? False Suppose -27*z + 915 + 1029 = 0. Let o be 12/14*z/(-108). Let k = -5 + 3. Which is bigger: o or k? o Let o = 37.2 + -3.2. Let a = o + -33.82. Let z = a + -0.08. Which is smaller: z or 0.04? 0.04 Suppose -4*n = 3*x + 11, -2*n + 7*n + x = 0. Let w = 15398 + -76621/5. Let z = w - 74. Is z < n? True Let y be 3/(-4) - (-2)/(-8). Suppose 4*m + 5*h = -9, -2*m + 68*h = 66*h + 18. Let u be (-2 + 1)/(-3 - 420/m). Which is smaller: u or y? y Let v be (0 + -16)/((-690)/(-3105)). Is v at least as big as -78? True Let t = 40 + -96. Let n be 8/4*3/t. Suppose -84 = -133*b + 49*b. Which is smaller: b or n? n Let b = -7782 + 31135/4. Let w = 195 - 1363/7. Which is bigger: w or b? b Suppose -4*j - 4*c = -304, -4*j - 2*c = -109 - 203. Suppose -15 = j*u - 77*u. Let y be 1/u - (-4 - (-640)/175). Which is smaller: y or 3? y Let j = -5.7 + -254.3. Let p = -259.66 - j. Which is smaller: p or 1? p Let l = 0.496 - -17.784. Let a = -24.6 + l. Is 0.1 smaller than a? False Suppose 4*z + r = -295, -3*r = -5*z - 4*r - 370. Let m be ((-174)/(-15))/(15/z). Which is smaller: -54 or m? m Let a(n) = n**2 - 53*n - 4849. Let c be a(101). Are -84/83 and c nonequal? True Let q be 36/12 + 475/(-60). Is q < -6? False Let y = 0.0309 + 169.9691. Do y and -2 have the same value? False Suppose -612*q + 14535 = 243*q. Let g = -18 - -18.22. Is g less than q? True Let q = -499.96 + 500. Let s = 0.18 - 0.1. Let j = -2.08 + s. Is q > j? True Suppose -5*o - 5 + 20 = 0. Let t(q) = -q**2 + 4*q + 4. Let w be t(o). Is w > 8? False Let a be ((-21)/7)/((-3)/1). Let s be a/((5/(-10))/((-1)/2)). Which is smaller: 6/83 or s? 6/83 Suppose 3*v - 13*v = -17120. Let k = v + -15427/9. Do k and -1 have different values? True Let z = -18/3575 + 129488/27137825. Which is smaller: z or 1? z Let h = 43.21 - 52.21. Let b = -97 - -95.01. Let u = b + -0.01. Which is bigger: u or h? u Let i = -2 + -206. Let z = 213.7 + i. Which is smaller: z or -0.1? -0.1 Let l be -221 + ((-8)/76 + (-490)/399)*6. Is 19 greater than l? True Let s = -62470 + 62466. Let m = 25 - 508. Let c be (2/7)/(36/m). Do c and s have the same value? False Let b = 1516 + -1516. Which is smaller: b or -5/142? -5/142 Let q = -71 + 89. Suppose -q*t + 12*t = 612. Which is smaller: t or -104? -104 Let t(l) = 3*l**2 - 61*l - 8. Let n be t(24). Let i be 336/10 - n/32. Which is greater: 26 or i? 26 Let d = -270 - -131. Let w = 58 + d. Is 0 less than w? False Suppose 13*f - 9*f - 616 = -4*k, 0 = 2*f + 4*k - 304. Let w = -155 + f. Let z be 3 - (-27)/96*-10. Is w equal to z? False Let j be -5 + 49 + -7 - 37. Let z be 154/300 - 1/3. Is z greater than or equal to j? True Suppose 3*n + 147448 = -12*n - 23747. Is n bigger than -11412? False Let g = 648/19 - 672/19. Suppose 14*n + 10 = 7*n - 4. Which is smaller: n or g? n Let j(i) = -20 - 20*i**2 + 13*i**2 - 13*i + 6*i**2. Let u be j(-7). Suppose u = -v - 0*v - 5*m, -3*v + m = 2. Which is bigger: v or -30/17? -30/17 Let p(q) = -2*q**3 - 17*q + 35 + 3*q - 13425*q**2 + 13438*q**2. Let o be p(6). Which is bigger: -8 or o? -8 Let u = 118 + 226. Let q be 24/288*(u - -1). Which is
{ "pile_set_name": "DM Mathematics" }
ncreasing order. -5, -4, a Let c(q) = -3762*q + 11319. Let d be c(3). Sort -20, 5, -4, d, 3 in decreasing order. d, 5, 3, -4, -20 Let t be -4 + (-1)/1*(-10 - 575/(-100)). Let d = -141 + 989/7. Sort 1/3, -0.1, d, t in increasing order. -0.1, t, d, 1/3 Let m(w) = w + 9. Let v be m(-8). Let a be -1 - (5 - 4)/v. Suppose -2 - 1 = -3*d. Sort a, -4, d in decreasing order. d, a, -4 Let l be (-21)/(-9) - 1/3. Let v = -35362 + 35362. Sort l, -12, 1, v in decreasing order. l, 1, v, -12 Let j(o) = 118*o + 234. Let x be j(-2). Let t(k) be the first derivative of -k**3/3 + 3*k**2/2 - 1. Let i be t(2). Sort x, -3, i in descending order. i, x, -3 Let u = 56/3 + -115/6. Sort 3, -3/5, 5, u, -7 in ascending order. -7, -3/5, u, 3, 5 Suppose 24*x = -175 + 79. Let s = -40 - 7. Sort -2, x, s in descending order. -2, x, s Let k = 2.05 - 0.05. Let y = -1066 + 1067. Let z = y - k. Sort 4, 3/8, z, 2 in descending order. 4, 2, 3/8, z Let t(c) = -4*c - 2 + 4*c**2 + c**2 - 6*c**2. Let z be t(-4). Let k be 4/22 - (-26)/(-22). Sort -5, z, k in ascending order. -5, z, k Let m(l) = 2*l**3 - 72*l**2 + 364*l - 118. Let g be m(30). Sort g, 4, -6, -1 in decreasing order. 4, g, -1, -6 Suppose 3*i - 4*i = 2. Let d = -33 - -48. Let l be 5/d*(-2)/2*-3. Put i, l, 8, -3 in descending order. 8, l, i, -3 Let w = 2635 - 2754. Sort -4, w, 4 in decreasing order. 4, -4, w Suppose -30*n = -33*n - 4*u - 69, -12 = 2*u. Sort 4, n, 1, 55 in descending order. 55, 4, 1, n Let o = 10087 + -10083. Put 1.209, o, 3 in descending order. o, 3, 1.209 Suppose -76*p + 23951 = 57619. Sort 2, -1, p, 1. p, -1, 1, 2 Let v = -177 - -174. Let p = -1676 + 1675. Sort v, 2, 0, p. v, p, 0, 2 Let c = 324 + -209. Let m be (c/(-46))/(2/(-4)). Sort m, -9, 3, 2 in decreasing order. m, 3, 2, -9 Let t = -8.383 + 8.288. Let h = -1/40 - -21/40. Put h, -3, -5/4, t in descending order. h, t, -5/4, -3 Let d = 228 - 116. Let x be (-84)/d*(-4)/6. Let h = 81 + -82. Sort x, h, 0.1 in descending order. x, 0.1, h Let u = -13949 + 13949. Put u, 0.4, 75, -0.2 in decreasing order. 75, 0.4, u, -0.2 Let n = -735 - -730. Let u(a) = 4*a - 40. Let q be u(9). Sort q, -1, 5, n in increasing order. n, q, -1, 5 Let g be -1*2 - (-14 + 8). Suppose -4*b - 12 = 2*m - 32, -2*m - 3*b = -15. Put -2, m, -3, g in decreasing order. g, m, -2, -3 Let l = -398.7 - -397.9. Sort 0, l, -2.3, -2/5 in ascending order. -2.3, l, -2/5, 0 Let h = 51 - 151/3. Let f = -0.08667 - 0.21333. Sort f, h, 3/7, 5 in descending order. 5, h, 3/7, f Let k = -455 - -818. Let y = 358 - k. Let j be 2*(-1 + (-11)/(-10)). Put j, y, 2 in decreasing order. 2, j, y Let c = 72.68 - -0.02. Let h = 73 - c. Let p = 56/5 + -23/2. Put h, p, -1 in decreasing order. h, p, -1 Suppose -12 = 27*x + 22*x + 135. Sort 3, x, -169, 4 in descending order. 4, 3, x, -169 Let h = 524 + 651. Let w be 1/(-2) + -10 + h/110. Sort w, 3/4, 56 in increasing order. w, 3/4, 56 Let k = -14809 - -14808.4. Sort 5, k, -1, 7/3, -0.4. -1, k, -0.4, 7/3, 5 Suppose 5*z + 21 = 8*z. Let h(x) = -x**3 + 10*x**2 - 26*x + 30. Let k be h(z). Sort 4, -6, k. -6, k, 4 Suppose -17*r + 13*r - 10 = -x, 16 = 2*r - 4*x. Sort r, 0, 2, 1, -3. r, -3, 0, 1, 2 Let j(i) = i - 1. Let a be j(-1). Let b = -69259 + 69253. Put 3, b, 2, a in ascending order. b, a, 2, 3 Let v = -79 + 173. Let b = v - 95. Let y be (-2)/10 + 52/10. Sort -2, b, y in ascending order. -2, b, y Let a(y) = 115*y - 378. Let l be a(3). Sort 2, 8/7, l in decreasing order. 2, 8/7, l Let i be (-35)/(-10)*12/(-7). Let v be ((-21)/6 + 3)*(i - 0). Let n be 2/(-5)*-5*6. Sort v, -5, n in ascending order. -5, v, n Suppose 4*l + 5*k = -38, -5*k - 43 = -3*l + 16. Let v = -2 + -4. Put -2, l, v, -0.2 in increasing order. v, -2, -0.2, l Let u = -99.3 + 98.9678. Let o = u - -0.0322. Sort -1/5, -1/2, -0.04, o in increasing order. -1/2, o, -1/5, -0.04 Let p be (-7 - 182/(-7)) + 3. Suppose -p*d = -29*d + 28. Put 2, 12, d in ascending order. 2, d, 12 Suppose -m = -4*q + 2*q - 3, -2*q + 7 = m. Let r be q*-1 + -4 + 5. Let n(l) = -5*l - 7. Let a be n(0). Put 1, a, -1, r in decreasing order. 1, r, -1, a Let m = 0.35 - 0.05. Let d = -6285 - -18857/3. Put -1/5, d, 2, m in increasing order. -1/5, m, d, 2 Suppose s + 2*s = -3*n + 27, 0 = 3*s - 27. Sort n, 3, 24, 4 in decreasing order. 24, 4, 3, n Let y(c) = 2*c + 2. Let n(d) = -2*d - 3. Let v(a) = -2*n(a) - 3*y(a). Let l be v(-1). Suppose 85*r - 52*r - 110*r = 316*r + 4323. Sort -3, l, r, 3. r, -3, l, 3 Let b = 1.9 - 6.9. Suppose 15 = 9*q + 96. Let l be 3/(-9) - (5 + 46/q). Sort l, 0.2, b. b, l, 0.2 Let f be 2/(8 + (2 - 6))*(8 - 7). Sort 3, -110, f in increasing order. -110, f, 3 Let d be -10*((-4)/(-24) - 0). Let j = 123.8 + -124. Let v(l) = 7*l + 11. Let x be v(-2). Sort d, j, x in descending order. j, d, x Let q = 148 + -116. Let u = q - 32.2. Let l be (-2 - -4)*3/(-10). Sort l, u, 2 in decreasing order. 2, u, l Let x = 52.8 - 52.93. Sort 0.3, 9, x in ascending order. x, 0.3, 9 Let f = -352 + 316. Let x be (-2)/9 + (-44)/f - 7. Sort 0, x, 5, -3 in descending order. 5, 0, -3, x Let l = 0.11 - 0.41. Let i = 7520 - 7517. Sort i, l, -27/2 in descending order. i, l, -27/2 Let s be (11 + 16)/((-2)/(-14)). Let i = 184 - s. Put 6, 0, i in ascending order. i, 0, 6 Let t(x) = -156*x + 1091. Let n be t(7). Sort n, 392, 3. n, 3, 392 Let h = -476 + 121. Let r = h - -348. Put 5, r, 0.2, -1 in decreasing order. 5, 0.2, -1, r Suppose 32 = w - 5*t + 9*t, -t = -5. Sort -5, -23, w, -2 in ascending order. -23, -5, -2, w Let x = 57.88 + -61.18. Sort x, 1, -2/7, 2/11 in descending order. 1, 2/11, -2/7, x Let m = 2/20527 + -4739/20527. Put -340/3, -1, m, -0.3 in decreasing order. m, -0.3, -1, -340/3 Let o(z) = 33*z - 590. Let n be o(18). Sort 1, n, -4, -283, -2 in ascending order. -283, -4, -2, 1, n Let j be (((-18)/(-21))/1)/(1450/1015). Put j, -3/29, -5, -0.2 in decreasing order. j, -3/29, -0.2, -5 Suppose -4*b = -5*o - 15 - 9, -2*b = 2*o + 6. Sort b, -4, -50 in increasing order. -50, -4, b Let p(u) = 2*u**3 - 2*u**2 + 9*u + 31. Let n(c) = 3*c**3 - 6*c**2 + 19*c + 62. Let l(z) = 3*n(z) - 5*p(z). Let q be l(-9). Sort 3, 5, q, 1 in descending order. 5, q, 3, 1 Let r = -1.10845 + 0.10845. Sort r, 0, 2/19, -7.4 in decreasing order. 2/19, 0, r, -7.4 Let k be (-6)/(-4) + (-85)/(-136)*-4. Sort -5, -4/343, k. -5, k, -4/343 Suppose 2*w = 1032 - 1038. Sort -1, 96, w in descending order. 96, -1, w Let m be -46 - -12 - 1800/(-90). Let i(s) = -s**2 - 8*s - 4. Let p be i(-7). Put -1, p, m, 5 in descending order. 5, p, -1, m Suppose q + 3 = 5. Suppose 2*d = -m + 7, 0*d - 1 = -d + q*m. Suppose -84 = 5*u + 2*s, -2*u - 30 = d*s - 4*s. Put u, 5, 1 in descending order. 5, 1, u Let n = 115 + -111. Let j = -9 + 6. Let q = 2.6 + j. Sort 5, q, -3/5, n. -3/5, q, n, 5 Suppose -33 = 3*p - 12*p - 3*v, 4*p - v - 24 = 0. Sort p, -5, -1, 0, 4 in ascending order. -5, -1, 0, 4, p Let v(j) = -18*j + 253. Let z be v(14). Sort 33, -2, z, 14. -2, z, 14, 33 Suppose -61*d = -59*d + 6. Let x be ((-216)/(-16) + -7)/(2/4). Sort x, -1, d, 2 in descending order. x, 2, -1, d Let f = -5.19599 - -0.19599. Sort -283, f, -2, 0. -283, f, -2, 0 Suppose 3*v - 3*v = -4*v + 5*v. Sort v, -10, -2, 4 in ascending order. -10, -2, v, 4 Let s = 26936.2 - 26936. Put 10, 2, 1/14, s, -0.4 in increasing order. -0.4, 1/14, s, 2, 10 Let k be (-76)/(-114)*(-2 + -1). Let r be -1 + 5 - (-4)/k. Let o = -12 - -16. Sort -0.4, -4, o, r in descending order. o, r, -0.4, -4 Let a be ((-2)/4)/(2/(-8)). Let c = 92.0146 - -0.0854. Let t = c - 92. Sort -4, -0.03, a, t in decreasing order. a, t, -0.03, -4 Let x = 189 + -187. Let k be 6/(-4)*(-5962)/33. Sort k, 4, x, 3 in descending order. k, 4, 3, x Let u = -55261/218 + 507/2. Let t = u - 231/1417. Put t, 0.5, -0.18, 0 in decreasing order. 0.5, 0, t, -0.18 Let j = -2243 + 2242.5. Put -35, -2/3, j in decreasing order. j, -2/3, -35 Let f be 6/(-8) + (-54)/(-48). Let j = 11.08 - 10.491. Let t = -0.411 - j. Sort t, -0.2, f in descending order. f, -0.2, t Let w be 12/(-2) - (-90)/(-45). Let d be (-10)/40 - 2/w. Sort 4, d, 3, -21 in decreasing order. 4, 3, d, -21 Let s = -1.648 + 1.848. Sort -461, -2, s. -461, -2, s Let c(l) = -l**2 - 3*l + 4. Let g be c(-4). Suppose -x - 4*x - 2*z - 17 = 0, -2*z = x + 5. Sort -33, x, 2, g. -33, x, g, 2 Suppose 102*z = -134*z. Put 222, 5, z in increasing order. z, 5, 222
{ "pile_set_name": "DM Mathematics" }
om lllllklllklllllllllk. What is prob of sequence lk? 51/380 What is prob of sequence pwj when three letters picked without replacement from {w: 1, p: 3, k: 4, c: 4, j: 1}? 1/572 Four letters picked without replacement from bqbbbqqbqwqqqqbbqqqb. Give prob of sequence bbqq. 154/2907 Four letters picked without replacement from cccrrr. What is prob of sequence crcr? 1/10 Two letters picked without replacement from aqfff. Give prob of sequence qa. 1/20 What is prob of sequence twtt when four letters picked without replacement from gwtgtgtt? 1/70 What is prob of sequence nnab when four letters picked without replacement from nabn? 1/12 Two letters picked without replacement from {o: 7, p: 3}. What is prob of sequence op? 7/30 Calculate prob of sequence kkak when four letters picked without replacement from kzkaksknsksakknksnkn. 14/1615 Calculate prob of sequence mii when three letters picked without replacement from miimm. 1/10 Three letters picked without replacement from {p: 1, v: 2, l: 8, z: 1, t: 7}. Give prob of sequence tvl. 56/2907 What is prob of sequence fvv when three letters picked without replacement from {k: 6, g: 2, v: 2, f: 1, b: 3}? 1/1092 Four letters picked without replacement from bhbbbbhhhhhhbbhbbzh. What is prob of sequence hbhh? 63/1292 Three letters picked without replacement from khzhhzkxzzzhzzxzzh. What is prob of sequence xxz? 1/272 Calculate prob of sequence ks when two letters picked without replacement from {o: 2, s: 1, w: 2, k: 1}. 1/30 Two letters picked without replacement from lcppplspvvplp. Give prob of sequence cp. 1/26 Four letters picked without replacement from rereere. What is prob of sequence reer? 3/35 Calculate prob of sequence ii when two letters picked without replacement from iisjsis. 1/7 Three letters picked without replacement from {h: 3, t: 17}. What is prob of sequence htt? 34/285 Calculate prob of sequence vos when three letters picked without replacement from {s: 1, v: 1, o: 1}. 1/6 Three letters picked without replacement from ooeueoeeqqouon. Give prob of sequence nqe. 1/273 Two letters picked without replacement from {e: 4, j: 1, a: 3, d: 6, b: 2}. Give prob of sequence da. 3/40 Two letters picked without replacement from {c: 1, q: 9, s: 1}. What is prob of sequence qc? 9/110 What is prob of sequence oo when two letters picked without replacement from {k: 5, o: 13}? 26/51 Two letters picked without replacement from cdnpnfppnnpfnf. Give prob of sequence fn. 15/182 Four letters picked without replacement from {c: 9}. What is prob of sequence cccc? 1 Two letters picked without replacement from {n: 1, z: 1, v: 1, j: 1, a: 2, b: 1}. Give prob of sequence jv. 1/42 What is prob of sequence qry when three letters picked without replacement from {q: 1, r: 2, y: 1, z: 1}? 1/30 Calculate prob of sequence qq when two letters picked without replacement from {b: 5, q: 10, j: 4, w: 1}. 9/38 Two letters picked without replacement from lvlavvvlvlavvjavjajv. What is prob of sequence la? 4/95 Calculate prob of sequence uccj when four letters picked without replacement from jcjjcuuuccjcc. 3/143 Two letters picked without replacement from {d: 1, c: 1, m: 1}. Give prob of sequence mc. 1/6 What is prob of sequence hp when two letters picked without replacement from {h: 4, j: 2, l: 2, m: 1, p: 3}? 1/11 Two letters picked without replacement from oolooyolyyyoyo. What is prob of sequence oy? 5/26 What is prob of sequence wwhh when four letters picked without replacement from {w: 4, h: 3, f: 4}? 1/110 Two letters picked without replacement from {n: 7, e: 1}. What is prob of sequence en? 1/8 What is prob of sequence sww when three letters picked without replacement from wiziisozwsoeei? 1/546 Four letters picked without replacement from pppxzxzpxx. Give prob of sequence xzzx. 1/210 Two letters picked without replacement from ssssssssssssssssssu. What is prob of sequence us? 1/19 Three letters picked without replacement from {o: 4, k: 2, v: 7, a: 1}. Give prob of sequence akk. 1/1092 What is prob of sequence ww when two letters picked without replacement from {i: 8, w: 5}? 5/39 Four letters picked without replacement from {n: 3, u: 1}. Give prob of sequence nnun. 1/4 Three letters picked without replacement from svxnhixn. Give prob of sequence hiv. 1/336 What is prob of sequence qmq when three letters picked without replacement from mmqqqqm? 6/35 Calculate prob of sequence pp when two letters picked without replacement from {p: 2, j: 4, s: 1}. 1/21 What is prob of sequence iwi when three letters picked without replacement from {w: 2, y: 2, v: 1, k: 2, i: 5, q: 1}? 10/429 What is prob of sequence xf when two letters picked without replacement from {f: 1, o: 2, x: 1, m: 2, w: 12}? 1/306 Two letters picked without replacement from eqffqfwf. What is prob of sequence we? 1/56 What is prob of sequence ro when two letters picked without replacement from borsofdbssdfoo? 2/91 Three letters picked without replacement from rwwrwww. Give prob of sequence rww. 4/21 Two letters picked without replacement from llllllllll. Give prob of sequence ll. 1 What is prob of sequence qqq when three letters picked without replacement from {q: 7}? 1 What is prob of sequence tt when two letters picked without replacement from bwttwwwtwwtww? 1/13 Two letters picked without replacement from {i: 2, m: 4, e: 8}. What is prob of sequence mm? 6/91 Two letters picked without replacement from {x: 4, w: 2, v: 1, z: 2, d: 1}. What is prob of sequence xx? 2/15 Calculate prob of sequence ll when two letters picked without replacement from kllo. 1/6 What is prob of sequence pw when two letters picked without replacement from {p: 6, b: 5, g: 2, l: 3, w: 1}? 3/136 Two letters picked without replacement from {v: 3, a: 1, n: 4}. What is prob of sequence an? 1/14 Two letters picked without replacement from mmoaoaaommommaa. Give prob of sequence oa. 2/21 What is prob of sequence iiih when four letters picked without replacement from hhhhhiihhihhihhhhii? 65/3876 Four letters picked without replacement from {d: 10, w: 5, h: 4}. What is prob of sequence dddw? 25/646 What is prob of sequence ddfm when four letters picked without replacement from fmmrdd? 1/90 Three letters picked without replacement from {w: 9, n: 11}. What is prob of sequence www? 7/95 Calculate prob of sequence ss when two letters picked without replacement from ysssskkx. 3/14 Calculate prob of sequence fx when two letters picked without replacement from {y: 1, f: 1, l: 1, x: 9}. 3/44 What is prob of sequence dt when two letters picked without replacement from {t: 3, h: 1, d: 1, j: 6, m: 2}? 1/52 What is prob of sequence yy when two letters picked without replacement from hyby? 1/6 Four letters picked without replacement from {b: 5}. Give prob of sequence bbbb. 1 Three letters picked without replacement from {i: 8, o: 5}. Give prob of sequence ioi. 70/429 Three letters picked without replacement from {t: 5, d: 2, m: 6}. What is prob of sequence mdt? 5/143 Four letters picked without replacement from {t: 6, d: 4}. Give prob of sequence dtdd. 1/35 What is prob of sequence xx when two letters picked without replacement from nwxxtttxtrttxttxxnx? 7/57 What is prob of sequence dfff when four letters picked without replacement from faeaafhdfe? 1/840 What is prob of sequence vbz when three letters picked without replacement from {b: 4, v: 2, z: 3, a: 6, l: 2}? 1/170 Two letters picked without replacement from xssxldx. Give prob of sequence ls. 1/21 What is prob of sequence cjq when three letters picked without replacement from cqcqqqqcqqcqjcjcq? 9/340 What is prob of sequence oo when two letters picked without replacement from {o: 2, s: 2}? 1/6 Three letters picked without replacement from afdxb. Give prob of sequence xba. 1/60 Two letters picked without replacement from {b: 2, o: 1, r: 4, j: 4, n: 5}. Give prob of sequence bn. 1/24 Three letters picked without replacement from {t: 11, v: 3}. What is prob of sequence vtt? 55/364 Two letters picked without replacement from buuubbuu. Give prob of sequence bb. 3/28 Four letters picked without replacement from {s: 2, j: 8}. What is prob of sequence sjss? 0 Two letters picked without replacement from ttgtwhhtttah. What is prob of sequence ha? 1/44 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
ed by 14665. 51 What is the remainder when 28078 is divided by 12? 10 What is the remainder when 26152 is divided by 415? 7 What is the remainder when 20061 is divided by 76? 73 Calculate the remainder when 33873 is divided by 3078. 15 Calculate the remainder when 6000679 is divided by 28. 27 Calculate the remainder when 540268 is divided by 30. 28 Calculate the remainder when 3353 is divided by 594. 383 Calculate the remainder when 75432 is divided by 47. 44 What is the remainder when 11688 is divided by 162? 24 Calculate the remainder when 5246 is divided by 1438. 932 What is the remainder when 21423 is divided by 18? 3 Calculate the remainder when 11600 is divided by 247. 238 What is the remainder when 4506 is divided by 642? 12 Calculate the remainder when 2441 is divided by 933. 575 Calculate the remainder when 137700 is divided by 871. 82 What is the remainder when 18082 is divided by 132? 130 What is the remainder when 2336 is divided by 195? 191 What is the remainder when 152897 is divided by 178? 173 What is the remainder when 24741869 is divided by 2766? 2765 What is the remainder when 30884 is divided by 10208? 260 What is the remainder when 31616 is divided by 102? 98 What is the remainder when 1066048 is divided by 414? 412 What is the remainder when 3529877 is divided by 237? 236 Calculate the remainder when 232637 is divided by 609. 608 What is the remainder when 3958 is divided by 665? 633 Calculate the remainder when 5167 is divided by 5. 2 What is the remainder when 821 is divided by 103? 100 What is the remainder when 446 is divided by 100? 46 Calculate the remainder when 52731 is divided by 13167. 63 What is the remainder when 16426 is divided by 265? 261 What is the remainder when 15758161 is divided by 14? 13 Calculate the remainder when 1070901 is divided by 1459. 1454 What is the remainder when 1772 is divided by 672? 428 Calculate the remainder when 9968 is divided by 2407. 340 What is the remainder when 25469 is divided by 25412? 57 Calculate the remainder when 11619 is divided by 29. 19 Calculate the remainder when 710 is divided by 121. 105 What is the remainder when 58621 is divided by 715? 706 Calculate the remainder when 790 is divided by 757. 33 What is the remainder when 38652 is divided by 9? 6 Calculate the remainder when 2970 is divided by 561. 165 Calculate the remainder when 26583 is divided by 2953. 6 What is the remainder when 46217 is divided by 23077? 63 What is the remainder when 2609 is divided by 17? 8 Calculate the remainder when 3049 is divided by 451. 343 Calculate the remainder when 500288 is divided by 36. 32 What is the remainder when 91454 is divided by 14? 6 What is the remainder when 21143 is divided by 43? 30 What is the remainder when 62097 is divided by 12? 9 What is the remainder when 7916 is divided by 7916? 0 Calculate the remainder when 15372 is divided by 205. 202 What is the remainder when 749 is divided by 43? 18 What is the remainder when 24252 is divided by 592? 572 What is the remainder when 4266 is divided by 2111? 44 Calculate the remainder when 78697 is divided by 60. 37 Calculate the remainder when 89180 is divided by 87. 5 What is the remainder when 4589 is divided by 583? 508 What is the remainder when 3538939 is divided by 695? 694 What is the remainder when 4641 is divided by 1786? 1069 Calculate the remainder when 11792 is divided by 2637. 1244 What is the remainder when 1237544 is divided by 156? 152 Calculate the remainder when 39949 is divided by 16. 13 What is the remainder when 4560 is divided by 118? 76 Calculate the remainder when 12472 is divided by 4109. 145 What is the remainder when 19119 is divided by 95? 24 What is the remainder when 168296 is divided by 33650? 46 What is the remainder when 2525 is divided by 1500? 1025 What is the remainder when 10856 is divided by 510? 146 What is the remainder when 2757518 is divided by 16? 14 What is the remainder when 6362 is divided by 26? 18 What is the remainder when 3412 is divided by 514? 328 What is the remainder when 14063 is divided by 160? 143 What is the remainder when 1601 is divided by 487? 140 Calculate the remainder when 53097 is divided by 191. 190 What is the remainder when 1450 is divided by 388? 286 What is the remainder when 1063505 is divided by 194? 191 Calculate the remainder when 2825 is divided by 903. 116 Calculate the remainder when 26884 is divided by 286. 0 Calculate the remainder when 49710 is divided by 16. 14 What is the remainder when 7275 is divided by 1392? 315 What is the remainder when 9510 is divided by 1582? 18 Calculate the remainder when 2656 is divided by 257. 86 What is the remainder when 3018548 is divided by 2306? 2300 Calculate the remainder when 944100 is divided by 5792. 4 What is the remainder when 30734 is divided by 23? 6 Calculate the remainder when 451414 is divided by 150469. 7 What is the remainder when 30965 is divided by 387? 5 What is the remainder when 188205 is divided by 261? 24 Calculate the remainder when 65714 is divided by 18. 14 Calculate the remainder when 4508 is divided by 337. 127 What is the remainder when 18316 is divided by 6? 4 What is the remainder when 1763 is divided by 512? 227 What is the remainder when 3256 is divided by 322? 36 What is the remainder when 25651 is divided by 242? 241 Calculate the remainder when 4922 is divided by 1540. 302 Calculate the remainder when 548 is divided by 126. 44 What is the remainder when 64301 is divided by 4946? 3 Calculate the remainder when 200295 is divided by 35. 25 What is the remainder when 1230 is divided by 17? 6 Calculate the remainder when 260995 is divided by 5553. 4 What is the remainder when 210177 is divided by 70055? 12 What is the remainder when 116331 is divided by 18? 15 Calculate the remainder when 1090 is divided by 363. 1 Calculate the remainder when 53890 is divided by 187. 34 Calculate the remainder when 361309 is divided by 120431. 16 What is the remainder when 36214 is divided by 36199? 15 What is the remainder when 176371 is divided by 423? 403 Calculate the remainder when 1528 is divided by 377. 20 What is the remainder when 90005 is divided by 90003? 2 Calculate the remainder when 49796 is divided by 334. 30 What is the remainder when 425301 is divided by 57? 24 What is the remainder when 5334 is divided by 119? 98 What is the remainder when 6487 is divided by 92? 47 Calculate the remainder when 114366 is divided by 183. 174 Calculate the remainder when 129989 is divided by 31. 6 What is the remainder when 3950 is divided by 303? 11 Calculate the remainder when 61598 is divided by 275. 273 What is the remainder when 8184 is divided by 407? 44 What is the remainder when 883429 is divided by 22? 19 What is the remainder when 14117 is divided by 191? 174 What is the remainder when 82840 is divided by 10355? 0 Calculate the remainder when 917 is divided by 56. 21 What is the remainder when 2402 is divided by 357? 260 What is the remainder when 280972 is divided by 140482? 8 What is the remainder when 20340 is divided by 754? 736 Calculate the remainder when 756 is divided by 352. 52 What is the remainder when 3159 is divided by 261? 27 What is the remainder when 51574 is divided by 4688? 6 Calculate the remainder when 347168 is divided by 141. 26 Calculate the remainder when 5225 is divided by 1331. 1232 Calculate the remainder when 18056 is divided by 9024. 8 What is the remainder when 25533 is divided by 10? 3 Calculate the remainder when 4614 is divided by 1420. 354 Calculate the remainder when 11712 is divided by 731. 16 What is the remainder when 4076017 is divided by 1285? 1282 What is the remainder when 178407 is divided by 19? 16 What is the remainder when 334937 is divided by 9? 2 What is the remainder when 2316 is divided by 1154? 8 What is the remainder when 3211 is divided by 1051? 58 What is the remainder when 81064 is divided by 95? 29 Calculate the remainder when 307467 is divided by 43. 17 Calculate the remainder when 405 is divided by 181. 43 Calculate the remainder when 14033 is divided by 226. 21 Calculate the remainder when 2208 is divided by 293. 157 What is the remainder when 13883 is divided by 13866? 17 Calculate the remainder when 19283 is divided by 40
{ "pile_set_name": "DM Mathematics" }
s smaller: 341 or 1021/3? 1021/3 Which is smaller: -145 or -16/3? -145 Which is smaller: 56 or 59? 56 Which is greater: 1/250 or 59? 59 Is -3/62 at most 0? True Which is smaller: 1 or 1/77? 1/77 Is 0.039 at least -0.3? True Is 0.1 at least as big as -5181? True Which is bigger: -28 or -29? -28 Is 118 smaller than 125? True Are 1/4970 and 1 nonequal? True Is 42 equal to 45? False Is 2732 at least 0? True Which is smaller: 2.3 or 9? 2.3 Which is smaller: -1.92 or 5? -1.92 Which is smaller: -5 or -30/7? -5 Is 0.1325 greater than -1? True Is 0 smaller than -34/69? False Which is smaller: 2/9937 or -1? -1 Which is greater: -205 or -201? -201 Which is smaller: -4 or -203/75? -4 Are -5/96 and -1 equal? False Do 7 and 20 have different values? True Is 1 at most as big as 2/7? False Do 899 and 899 have different values? False Do 1/12 and -1/80 have different values? True Which is smaller: 10 or 12? 10 Which is smaller: -3 or -3252/13? -3252/13 Is -1 less than 15/644? True Which is greater: 1/4 or 250? 250 Which is smaller: 0 or 2/55173? 0 Do -198 and -3390/17 have the same value? False Which is smaller: 0 or 1/752? 0 Which is bigger: -1 or -6/7? -6/7 Is -16 at most as big as -11? True Is -2/7 at most -1489? False Is 6 > 164/27? False Which is bigger: -2 or -117? -2 Which is smaller: 2148 or 2137? 2137 Which is smaller: -25 or -28? -28 Which is smaller: -1 or -10/317? -1 Is 2 < -42/781? False Which is smaller: -0.1 or 612? -0.1 Which is bigger: 0.3 or -471? 0.3 Which is greater: 76/27 or 4? 4 Is -1 less than -92? False Is -6 less than or equal to -26? False Which is bigger: 3186/23 or 138? 3186/23 Is -4 at most -178.3? False Is 49 greater than 49? False Which is smaller: -27/34 or -1? -1 Is -1812 greater than or equal to -1812? True Is -5517 > -5516? False Is 174 > 1216/7? True Which is smaller: 480 or 481? 480 Is 7 bigger than 39? False Which is greater: -2/9 or 3990? 3990 Is -295 smaller than -0.1? True Is -1 greater than -2/9033? False Which is greater: -1 or -2/28763? -2/28763 Is -1 at most 5/69? True Does -137 = -138? False Which is greater: 1/3 or -37.809? 1/3 Is 7010 at least 7010? True Is -20/183 at most as big as 1? True Is -15262/7 at least as big as -2179? False Is 1618 < 1621? True Is -2/7 > -112.8? True Is 80 greater than 79? True Which is bigger: 2526 or 7580/3? 7580/3 Is 0 < 1/2340? True Which is greater: 351 or -0.2? 351 Is 1/684 at least as big as 1? False Are 8 and 103/13 equal? False Which is smaller: -1 or 6/913? -1 Are -1 and -22/4299 equal? False Is 208 at least as big as -57? True Which is bigger: -11031 or -1? -1 Is 5 at least -17/3? True Which is smaller: 13675 or -1/4? -1/4 Which is greater: -436 or -6538/15? -6538/15 Is -68 at least as big as -9? False Which is greater: 2 or 51/73? 2 Is -542 at least -544? True Which is smaller: -24/47 or -1? -1 Which is greater: 311 or 313? 313 Is 1111 >= 1111? True Is 844 != 844? False Is -1 at least 11/348? False Is 2/9415 less than or equal to -1? False Which is bigger: 14992 or 14994? 14994 Is -1436 > -1436? False Which is greater: -1 or 167? 167 Which is smaller: -2540 or -2537? -2540 Which is smaller: -77 or -2? -77 Which is smaller: -1/4 or 158/19? -1/4 Which is greater: -2671 or -2668? -2668 Is 0 smaller than 6/9101? True Which is greater: 84 or 93? 93 Are 80 and 1370/17 nonequal? True Which is bigger: 2/27 or 11/5? 11/5 Which is bigger: 0 or -1/617? 0 Is -3047 not equal to -3047? False Is 26 at least -4? True Which is bigger: 444 or 28? 444 Which is bigger: -301 or 0.3? 0.3 Is -0.03 greater than or equal to 15.3? False Which is smaller: 450 or -0.2? -0.2 Which is smaller: 463/2 or 233? 463/2 Is 192 < 196? True Are -0.2 and 0.0857 nonequal? True Which is bigger: -2/11 or -1? -2/11 Which is smaller: 68 or -2/13? -2/13 Is -101 at least as big as -128? True Do 642 and 2/7 have the same value? False Is -61 at most as big as 3.25? True Which is greater: -21 or -35? -21 Which is greater: 5/32 or 0? 5/32 Is 504 != 1009/2? True Is -1/4 != 59? True Is 1 not equal to -8/73? True Does 1 = 2/5? False Is -1/5676 at most as big as 1? True Are -1 and 102.9 equal? False Is 1106 != 1105? True Which is greater: 0 or -3/1180? 0 Do -1652 and -1654 have the same value? False Which is smaller: 359 or 2? 2 Are -1 and -2/1037 nonequal? True Is 0 > -4/2433? True Is 3/44 at most as big as 1? True Do -1014 and -7088/7 have the same value? False Which is smaller: 0 or -28/159? -28/159 Is 3 <= 7/2? True Does -1414 = -1415? False Is -12 >= -12? True Is 31 smaller than 33? True Is 0 at most 2/2595? True Is -626 at least -626? True Which is greater: -16 or -2/363? -2/363 Which is smaller: -25 or 0.04? -25 Is -0.10001 less than 1? True Is 12 at least 15? False Which is smaller: -0.5023 or -2/11? -0.5023 Is 1 > 14533/6? False Which is smaller: -0.1 or 7.8? -0.1 Which is smaller: 1 or 11/5903? 11/5903 Is 2 at least -3.64? True Which is smaller: 1 or 11/25? 11/25 Which is smaller: -90 or -1419/16? -90 Is 1 less than 4/9791? False Are 10020 and 10020 equal? True Which is greater: 27 or 28? 28 Which is greater: -2.1 or 0.39? 0.39 Is 1 equal to 16/55? False Which is bigger: -3577 or -3576? -3576 Is -233 <= -233? True Do -454 and -454 have the same value? True Are 16365 and 16366 nonequal? True Which is bigger: 0.0124 or -0.07? 0.0124 Which is bigger: 72/11 or -2/3? 72/11 Which is bigger: -171 or -343/2? -171 Which is smaller: 52 or 51? 51 Is -6 at least -502? True Which is smaller: -5 or -9? -9 Is 1 greater than -3/32732? True Which is smaller: 13809 or -1/2? -1/2 Is 2 at most as big as -2/59? False Is -14849 >= -14848? False Does 1 = 64/29? False Are -21206 and -21207 unequal? True Which is bigger: -897 or -4489/5? -897 Which is greater: -1 or 28/509? 28/509 Is 42413 bigger than 42413? False Is -2 smaller than -210? False Which is smaller: 0.122 or 14/3? 0.122 Which is greater: 353 or 273? 353 Is -2382 greater than or equal to -2384? True Is 375 less than 751/2? True Which is greater: 5 or 3? 5 Which is greater: -20.5 or -2/3? -2/3 Which is greater: 0.1 or 4357? 4357 Are 904 and 904 equal? True Is -298 smaller than -299? False Does 1 = 3/5? False Is 425 at most as big as 0.1? False Which is bigger: -8/1037 or 1? 1 Which is smaller: 1 or 2/13031? 2/13031 Which is greater: -22839 or -22838? -22838 Which is bigger: -1 or -10/5713? -10/5713 Which is greater: 55 or -3? 55 Is 1321/15 < 88? False Which is greater: -18 or -14? -14 Is 4061 > 4061? False Which is bigger: 1 or 158/303? 1 Which is smaller: 4/569 or 1? 4/569 Which is smaller: 5061 or 5060? 5060 Do 27 and 2/9 have the same value? False Which is greater: 1 or 4/11? 1 Are 1/458 and 0 equal? False Is 3705 equal to 3706? False Which is greater: -57/4 or -15? -57/4 Which is bigger: -14 or -5? -5 Is -203 < -2630/13? True Is 171 < 174? True Is -28/19 greater than 3/17? False Is -1/4 greater than or equal to 22.4? False Is 46 <= 0.032? False Are 0 and 1/617 unequal? True Are -60 and -17 non-equal? True Is 0 != 5/64? True Is -4/5 greater than or equal to -2.562? True Which is smaller: -30 or -119/4? -30 Which is greater: -93 or -94? -93 Is 46/73 less than 2? True Is -1/3 less than or equal to -56? False Which is greater: 0 or -1/2319? 0 Is 14 > 30? False Is 25/7 >= 3? True Which is bigger: 8339 or 8341? 8341 Is -24 less than or equal to -560/23? False Which is greater: 5119 or 5118? 5119 Does -79/20 = -4? False Is 1 bigger than -6/355? True Which is smaller: 4987 or 24938/5? 4987 Is -883 less than -882? True Is -83053 less than or equal to -83053? True Which is greater: -20.21 or -1? -1 Which is smaller: -5792 or -1? -5792 Is -1 smaller than 4/1297? True Which is smaller: -3 or 13/23? -3 Which is greater: -302 or -303? -302 Is -542 > 0.1? False Is -1 at least as big as -2/5651? False Which is smaller: 0.12 or 87? 0.12 Is -3143 <= -3142? True Which is greater: -1 or 8? 8 Which is bigger: -14496 or -14497? -14496 Is -460/13 < 0? True Is -34 > -137/4? True Which is bigger: -758 or -749? -749 Is 0.0816 bigger than -5? True Is -1 != 3/71074? True Which is greater: 37/607 or -1? 37/607 Is 5776 not equal to -0.06? True Is -13481 at least -13481? True Which is greater: 1 or 6.147? 6.147 Which is bigger: -144 or -150? -144 Is 333 smaller than 334? True Is -16 < -15? True Which is b
{ "pile_set_name": "DM Mathematics" }
ct the terms in 59*c - 31*c - 31*c. -3*c Collect the terms in -3*g**3 + 6*g**3 + 0*g**3 + g**3. 4*g**3 Collect the terms in 4*w + 3*w - 5*w - 3*w. -w Collect the terms in -46*k**3 + 0 + 0 + 45*k**3. -k**3 Collect the terms in -c - 11*c + 6*c - 14*c. -20*c Collect the terms in 1074*m + 1070*m + 1068*m - 3212*m + 2*m**2. 2*m**2 Collect the terms in -2421 - 5*f**2 + 2421. -5*f**2 Collect the terms in 3095 + 20*a**3 - 3095. 20*a**3 Collect the terms in 91*m + 15 - 89*m - 15. 2*m Collect the terms in p + 2 + 182 - 6*p. -5*p + 184 Collect the terms in -105 + 52 + 2*d**3 + 53. 2*d**3 Collect the terms in -30*c + 30*c + 25*c**3. 25*c**3 Collect the terms in -2*s**2 + 29*s**3 - s**2 - 83*s**3 + 34*s**3. -20*s**3 - 3*s**2 Collect the terms in -10*z**3 - 11*z**3 - 19*z**3. -40*z**3 Collect the terms in -t**3 - 2*t**3 + 8*t**3. 5*t**3 Collect the terms in 4*p + 2*p - 4*p + p. 3*p Collect the terms in -365*v + 260*v + 1 + v**3 - 1. v**3 - 105*v Collect the terms in -3814*h + 5*h**3 + 3814*h. 5*h**3 Collect the terms in 72*l + 110*l + 30*l. 212*l Collect the terms in 0 - 33*j**2 + 0 - 193*j**2. -226*j**2 Collect the terms in -842*r**3 + 4*r**2 - 4*r**2. -842*r**3 Collect the terms in -12*f**2 - 14*f**2 + 4*f**2. -22*f**2 Collect the terms in 2278*l + 3*l**2 + 2291*l - 4569*l. 3*l**2 Collect the terms in -5*r**3 + r**3 + 23*r**3. 19*r**3 Collect the terms in -182*f**3 - 3*f**2 + 3*f**2 + 186*f**3. 4*f**3 Collect the terms in 66*v**3 + 67*v**3 - 221*v**3 + 79*v**3. -9*v**3 Collect the terms in 63*j**3 + 6 - 6. 63*j**3 Collect the terms in 19011 + 25*m**2 - 19011. 25*m**2 Collect the terms in -1276*o**3 + 646*o**3 + 635*o**3. 5*o**3 Collect the terms in -51*s**3 - 34*s**3 + 13*s**3. -72*s**3 Collect the terms in -20*d + 2*d + 7 - 7. -18*d Collect the terms in 11 + 16 + m + 16 - 43. m Collect the terms in 262*r**2 + 260*r**2 - 523*r**2. -r**2 Collect the terms in -10 + 10 + 9*r + 7*r. 16*r Collect the terms in -23 + 23 + 1177*w**2. 1177*w**2 Collect the terms in 8*a - 8209 + 8209. 8*a Collect the terms in -15*w**2 - 12 + 3*w**2 + 5*w**2 + 4*w**2. -3*w**2 - 12 Collect the terms in 0 - 2 + 260*s + 2 - 266*s. -6*s Collect the terms in -13*w**2 - 33*w**2 + 11*w**2. -35*w**2 Collect the terms in -2*u + 2*u + 9465*u**2. 9465*u**2 Collect the terms in 2*l + 2*l + 307*l**3 - 4*l. 307*l**3 Collect the terms in -1 - 4*x - 3 + 2. -4*x - 2 Collect the terms in -156 - 1536*p**3 + 156 + 1539*p**3. 3*p**3 Collect the terms in 4 - 20 + 16 + j. j Collect the terms in -479*m - 2*m**3 + 0 - 3 + 3. -2*m**3 - 479*m Collect the terms in 4673 + 2*d**2 - 4673. 2*d**2 Collect the terms in -29*y**2 + 94*y**2 - 19*y**2 - 31*y**2 - 13*y**2. 2*y**2 Collect the terms in 2 + 220*x - 2 + 72*x. 292*x Collect the terms in -12*v - 3*v + 13*v. -2*v Collect the terms in 12*k - 9*k + k + 2*k. 6*k Collect the terms in 337*u - 337*u + 40*u**3. 40*u**3 Collect the terms in -25*c + c + 21*c. -3*c Collect the terms in 4*j - 4*j - 2*j - 4*j**3 - 4*j. -4*j**3 - 6*j Collect the terms in -4 - 3 + 349*d**2 + 7. 349*d**2 Collect the terms in 17*x**2 - 19*x**2 - 88*x**2. -90*x**2 Collect the terms in j**2 + 113 - 233 + 120. j**2 Collect the terms in 4*s + 7*s + s + 8*s. 20*s Collect the terms in -42096 + 4*c**2 - 4*c**2 + 6*c**2 + 42096. 6*c**2 Collect the terms in 2*f**2 - f**2 + 32*f**3 + 2*f - 5*f. 32*f**3 + f**2 - 3*f Collect the terms in -6*u + 9*u + 0 + 0. 3*u Collect the terms in 2*l + 4*l - 13*l - l. -8*l Collect the terms in 17*g - 32*g + 17*g. 2*g Collect the terms in -2*y**3 - y**3 + 5*y**3 + 7*y**2. 2*y**3 + 7*y**2 Collect the terms in -2990 + 7*j**3 + 2990. 7*j**3 Collect the terms in 9*x**3 - 10*x - 17*x - 5*x. 9*x**3 - 32*x Collect the terms in 50 - 50 - t**2. -t**2 Collect the terms in 166 - c**2 - c**2 - 351. -2*c**2 - 185 Collect the terms in -821*g**2 - 2 + 2 + 819*g**2. -2*g**2 Collect the terms in 8*p - 19*p + 7*p + 15*p. 11*p Collect the terms in -12*p**2 - 6*p**2 - 14*p**2. -32*p**2 Collect the terms in -17*p**3 + 36*p**3 - 17*p**3. 2*p**3 Collect the terms in 13*l - 142 + 142. 13*l Collect the terms in 66 + 62 + 2*g**3 - 191 + 63. 2*g**3 Collect the terms in 4701 - 9407 - l + 4706. -l Collect the terms in -23*x**3 + 75*x**3 - 53*x**3. -x**3 Collect the terms in 4*i - 2*i + 5*i - 5*i. 2*i Collect the terms in -4*h + 5*h - 3*h. -2*h Collect the terms in -3*s**3 + 12*s**3 - 14*s**3. -5*s**3 Collect the terms in 22*w - 14*w - 4*w - 3*w. w Collect the terms in 0*d - 12*d**2 + 5*d - 5*d. -12*d**2 Collect the terms in 5 + 12*j + 2*j - 5. 14*j Collect the terms in 2*b - 5*b + 13*b - 4*b. 6*b Collect the terms in -33*t**2 - 23*t**2 + 97*t**2 - 35*t**2. 6*t**2 Collect the terms in 2 + 5 - 31*n**2 - 7. -31*n**2 Collect the terms in -7*b + 18 - 26 + 9*b. 2*b - 8 Collect the terms in -23*r - r**3 - r**3 - 41*r + 64*r. -2*r**3 Collect the terms in 526*l - 265*l - 263*l. -2*l Collect the terms in -115191*b**3 - 115189*b**3 + 230382*b**3. 2*b**3 Collect the terms in -1919*v + 3848*v - 1928*v. v Collect the terms in -5*p - 14*p**2 + 5*p - p**2. -15*p**2 Collect the terms in -2*o + 0*o + 0*o. -2*o Collect the terms in 0*a**2 - a**2 + 8*a**2. 7*a**2 Collect the terms in -23 - 12 + 54 - 19 - 10*v. -10*v Collect the terms in 658 + 43*y**3 + y - 658. 43*y**3 + y Collect the terms in -10*h + 21*h + 27*h. 38*h Collect the terms in -19*c**2 + 7*c**2 + 9*c - 9*c. -12*c**2 Collect the terms in 55 + 6*z - 55 + 0*z. 6*z Collect the terms in y + 12*y**3 + 25*y**3 + 3*y. 37*y**3 + 4*y Collect the terms in -2*f + f - 1 + 57. -f + 56 Collect the terms in -609 + 609 + 5*r**3. 5*r**3 Collect the terms in -18 + 10 + 8 + 3*a. 3*a Collect the terms in 2645*c - 2626*c - 1 + 1. 19*c Collect the terms in 38*x**3 - 14*x**3 - 18*x**3. 6*x**3 Collect the terms in -34*v**3 + 7*v**3 - 101*v**3 - 22*v**3. -150*v**3 Collect the terms in 202 + 192 - 394 + i. i Collect the terms in -12*s - 309*s + 23*s + 20*s. -278*s Collect the terms in 43*y - 43*y - 4*y**3 - 9*y**3. -13*y**3 Collect the terms in 23*i - 56*i + 27*i. -6*i Collect the terms in -2*f**3 + 944 - 470 - 474. -2*f**3 Collect the terms in -3*x + 2*x + 0*x + 5*x. 4*x Collect the terms in 356*i**3 - 711*i**3 + 357*i**3. 2*i**3 Collect the terms in 3*o**3 - 13*o**3 + 6*o**3. -4*o**3 Collect the terms in f - f - f**2 + 0 + 0. -f**2 Collect the terms in g**3 + 47*g**3 + 87*g**3. 135*g**3 Collect the terms in -2*m**2 + 18*m**2 - 6*m**2. 10*m**2 Collect the terms in -75*a + a**2 + 75*a - 8*a**2. -7*a**2 Collect the terms in 9*q**2 + 2*q**2 + 0*q**2 - 7*q**2. 4*q**2 Collect the terms in -16*u**3 + 3 + 35*u**3 - 1. 19*u**3 + 2 Collect the terms in -16*m**3 - 19*m**3 - 19*m**3 + 78*m**3 - 23*m**3. m**3 Collect the terms in -29*o - 56*o + 91*o. 6*o Collect the terms in -6*p**3 - 3*p + 3*p + 5*p**3 - 3*p**2. -p**3 - 3*p**2 Collect the terms in -6462519 + 6462519 + 3*f**3. 3*f**3 Collect the terms in 16*r - 28*r + 0*r**2 + 2*r**2 + 12*r. 2*r**2 Collect the terms in -113*h - h**3 + 113*h. -h**3 Collect the terms in -4 + 2 + 9*x + 80*x. 89*x - 2 Collect the terms in l - l - l**2 - l**2. -2*l**2 Collect the terms in 10*k + 546 - 275 - 270. 10*k + 1 Collect the terms in -71323*r + 71323*r + 11*r**2. 11*r**2 Collect the terms in 77*d + 1 - 34*d + 52*d. 95*d + 1 Collect the terms in 109 - 196 + 87 - p**3 - p**3. -2*p**3 Collect the terms in 6*c**2 + 7*c - 8*c**2 - 7*c. -2*c**2 Collect the terms in 22 - 3*i**2 - 7 - 10 - 5. -3*i**2 Collect the terms in -440 + 149 + 145 - 24*x + 146. -24*x Collect the terms in -2*b - b + 8*b + 12*b. 17*b Collect the terms in 37*d + 136*d - 84*d. 89*d Collect the terms in 330*c - 2 + 0 - 6*c. 324*c - 2 Collect the terms in 3*x + 2*x - 9*x - x. -5*x Collect the terms in -2*a - 3*a + 3*a. -2*a Collect the terms in -52*d**3 + 89*d**3 - 35*d**3. 2*d**3 Collect the terms in 801*i - 1 + 1. 801*i Collect the terms in -9*d**3 + 200 + 195 - 395. -9*d**3 Collect the terms in -23*p**2 - 20*p**2 + 74*p**2 - 19*p**2 - 15*p**2. -3*p**2 Collect the terms in 171*k - 3*k**2 - 171*k. -3*k**2 Collect the terms in -19*f - 21*f + 11*f + 1. -29*f + 1 Collect the terms in 26*y + y - 23*y. 4*y Collect the terms in 3*d + 56 + 60 + 6*d**2 - 116. 6*d**2 + 3*d Collect the terms in 1 - 1 + 1293*v**3 - 1295*v**3. -2*v**3 Collect the terms in -3 + 3 - 236*a**2. -236*a**2 Collect the terms i
{ "pile_set_name": "DM Mathematics" }
10 + 12). -5 Calculate 9 + 7 - 12 - (15 + -1). -10 Evaluate -2 + 1 + 12 + -16. -5 What is 18 - 26 - (4 - (0 + 6))? -6 What is -3 - 1 - (-8 - (6 + -11))? -1 What is the value of -5 - -2 - (2 + -4)? -1 What is -1 + -3 + 4 + -2 + -2? -4 Evaluate -8 + 2 + (11 - (16 - 7)). -4 Evaluate 9 - (0 + 0 - -8). 1 What is 5 + (-8 - (-2 + -5))? 4 Evaluate -5 + (9 - (7 - 3)). 0 What is 1 - (-2 + (5 - (-3 + 5)))? 0 What is the value of (1 - 7) + 3 - (6 + -8)? -1 What is the value of (10 - 5) + -2 + (-2 - -3)? 4 Calculate 10 + -9 + -9 + 5. -3 Calculate -1 - (1 - (-3 - -3)). -2 What is the value of 9 + -2 + 1 + (-8 - 3)? -3 Calculate -8 + -1 + (6 - -10). 7 Evaluate (2 - 5) + -3 - -11. 5 -5 + 2 + 4 + -2 -1 -2 - (-1 - (-5 - -2)) -4 What is the value of (0 - -6) + -2 + 1? 5 Evaluate 0 + 14 + (-99 - -91). 6 Calculate (-2 - (3 - 0 - 2)) + 0. -3 What is (-22 + 5 - -9) + -1? -9 What is -4 + (11 - 6) + 1 + 1? 3 9 + -2 + -1 + -2 4 6 - (1 - (1 + -3 + 2)) 5 What is the value of -2 + 10 + (-4 + 1 - 1)? 4 Calculate (-8 - -5) + -6 + 6. -3 What is -1 - 6 - (-15 + (0 - -7))? 1 Evaluate (-1 + 1 - -1) + 1. 2 Calculate (-5 - (-6 + 2)) + 0. -1 What is the value of 2 - ((5 - 1) + (3 - 1))? -4 Evaluate -7 - -15 - 5 - (-1 + -1). 5 Calculate 12 - (11 + -10 + 20). -9 Evaluate -2 + (3 - -1 - (4 + 3)). -5 What is the value of 4 + -5 + (-3 - -8) + 3? 7 What is -9 - (8 - 16) - (1 + 1)? -3 Evaluate 5 + -1 + -17 + (-3 - -7). -9 Evaluate (1 - 1) + -10 + 12 + -3. -1 -1 - ((6 - 9) + 9 + 0) -7 Calculate (-3 - 0) + 0 + -2 + 2. -3 Evaluate -21 + (-3 - -18) + (0 - -9). 3 What is 4 - ((1 - -3) + (-4 - -1))? 3 What is the value of (4 - -6) + 6 + -9? 7 Calculate 9 + (0 - (15 - 7)). 1 Evaluate -1 - (-2 + 3) - -4 - 3. -1 What is (-4 - 2) + 1 + -1? -6 What is the value of (-1 - -8 - 0) + -46 + 42? 3 Calculate (10 - 6) + -1 + -2 - 2. -1 What is the value of (-1 - 1) + (5 - (4 + -1))? 0 16 + (4 - 8 - 1) 11 46 - 47 - (1 + -1) -1 Calculate -4 + 1 + 5 + (0 - 1). 1 What is -3 + 7 - (-9 + 22)? -9 (7 - (-4 - (-1 - -2))) + -8 4 3 + (1 + -5 - -4) 3 What is 2 - (0 + -3) - 1? 4 What is 4 - (2 + (-2 - -4))? 0 What is the value of 3 + (2 - 4) + (-13 - -15)? 3 What is 9 + -12 - (0 + 0)? -3 Evaluate 0 + -1 + -4 + -1 - -4. -2 What is 2 - (3 + -1 + 4)? -4 Calculate -4 + -1 - (34 - 38). -1 What is the value of (2 - -1 - 3) + -4? -4 What is 1 + (1 - 1) - (16 - 20)? 5 What is the value of (-1 - 2) + -8 + 7 + -2? -6 Evaluate (-8 - -6) + (-4 - -7) - -4. 5 Evaluate -6 - (-18 + (8 - 2) + 1). 5 -4 + -2 + (-15 - -24) 3 What is the value of 0 + -1 + -7 + 8 + 3? 3 What is the value of 6 + (-30 + 29 - (1 + -4))? 8 What is -1 - ((5 - 11) + 10)? -5 What is (-3 - -1) + (2 - -3) + -6? -3 What is (-2 - 2) + 0 + -8 + 8? -4 -3 + -3 + 6 + 1 + -1 0 What is -9 - (5 - (0 + 15))? 1 Calculate 4 - 2 - ((-8 - 3) + 14). -1 Evaluate (-8 - 0 - -4) + 10 + -9. -3 Calculate (0 - 3) + 6 - (-5 + 9). -1 What is the value of 15 - ((6 - 3 - -8) + -6)? 10 (-2 - -2) + 7 + (1 - 14) -6 What is the value of (-1 + (3 - -1) - 0) + -1? 2 What is the value of 6 - 4 - (6 + 0) - -9? 5 What is 0 + 0 + -7 + 9 - 3? -1 Calculate -5 - (-4 - 3) - -1. 3 Evaluate 4 + (5 + -6 - -5) + -2. 6 Evaluate (0 - 6) + (8 - 3). -1 Evaluate -9 - (-3 + (-10 - -5) + 4). -5 Calculate 1 + 0 + (-2 - 0 - 0). -1 What is the value of 4 + (9 + -4 - 17) - -4? -4 Calculate -6 - -1 - 2 - (-8 - -4). -3 Calculate -2 + (11 + 2 - 21). -10 -8 + 1 + (38 - 31) 0 Calculate -2 - (-3 + -5 + 5 + -2). 3 -5 - (-6 - -10 - 4) -5 Evaluate -3 + 32 + -27 + (-7 - 1). -6 What is (-8 - (-12 - -4)) + 6 + -1? 5 -2 - ((2 - 4) + 5) -5 What is -1 + 2 + -5 + 2 + 0? -2 Calculate 0 - (-3 + 2 + 0 + -4). 5 What is -4 + 3 + 1 + -13 + 21? 8 Calculate (-1 - 0) + 14 + -8. 5 (-7 - 0) + (10 + -24 - -22) 1 Evaluate (-2 - 0) + 2 - (34 + -28). -6 Evaluate (-1 - 0) + -6 + 11. 4 Calculate -6 - ((0 - 0) + -3). -3 -3 + (0 + -5 - -9) 1 Evaluate 1 - (11 + 8 + -11). -7 4 - 0 - (18 - 14) 0 What is 0 - (1 + -3 + -1 + 1)? 2 Evaluate -3 - (4 + -4 + -2 + 4). -5 Evaluate -5 + (6 - 3) + (2 - 2). -2 (-1 - 2) + -1 + 7 3 Evaluate -15 + -8 + 35 + -6. 6 Calculate 6 - 24 - (-12 + 2). -8 What is -6 + 3 + 7 + -3 - 4? -3 What is -4 + 3 + -1 + 1? -1 What is the value of 1 + -6 + 0 + 2? -3 16 - (-5 + 9) - 21 -9 Evaluate 7 - -1 - (-4 - (-7 - 0)). 5 Calculate 7 + -3 + -49 + 38. -7 (0 - (9 - 0)) + 6 -3 What is -1 + 1 - (-11 + 7)? 4 Evaluate 23 + -1 + -2 + -1 + -8. 11 Calculate -1 + (3 - (-3 - (-2 - 0))). 3 Evaluate (2 - (3 + -3)) + (-2 - 2). -2 2 - 0 - (19 - (6 + 3)) -8 Calculate (-12 - -9 - -10) + -11. -4 Calculate 1 - (-3 + -1 + 10). -5 What is 0 + -2 + 4 + 1 + -3? 0 5 - 5 - (0 + -4) 4 What is the value of 3 + 0 + 0 - (2 + -4)? 5 Evaluate (-7 - -3) + 1 + -1 - 0. -4 What is 2 + (-3 - (-6 - -7))? -2 Evaluate -4 + (9 - (1 - -3)). 1 20 - 24 - (-1 + 1 + -1) -3 What is the value of -1 + (2 - 1 - 2) + -2? -4 Evaluate 0 + -6 + (0 - 0) + 2. -4 What is -2 + 9 + -8 - -1? 0 Evaluate (-13 - -17) + -2 + 2 + -3. 1 Calculate -5 - -14 - ((0 - 3) + 10). 2 What is -7 + (3 - -2) + 0? -2 (2 - -5) + -4 - 3 0 What is 4 + (-5 - -1 - -3 - 2)? 1 Evaluate -7 - (2 + -10 + -5 + 8). -2 Calculate -4 - (-12 - 0 - -4). 4 What is the value of 6 + -16 - (-4 - 0)? -6 Calculate (0 - -4) + (-2 - (9 + -3)). -4 Evaluate -2 - (6 + -4 + (0 - -1)). -5 Calculate 6 - (11 + -4 + 4). -5 Calculate (5 - 4) + -7 + (-1 - -3). -4 Calculate -1 + -10 - (-42 + 36). -5 What is the value of (-1 - 0) + -9 + 1 + 10? 1 What is the value of (-3 - -4) + (-4 - -2)? -1 -5 + -1 + 1 + -10 + 5 -10 Calculate -7 + (1 + 3 - -11). 8 Calculate (2 - (1 - -5)) + 5. 1 What is -8 + (-1 - (2 - 1)) + 5? -5 What is the value of -3 + 5 + -5 + (-1 - -1)? -3 Calculate -2 + 8 - (9 - 4). 1 What is the value of (-12 - 1) + 18 - (-4 - 1)? 10 0 + -6 + 7 + -5 -4 What is 3 + (-9 - -8) + -3 - -3? 2 What is the value of (-5 - -9) + (-1 - 1) - 3? -1 What is the value of (-2 - (1 + -5 + 4)) + 5? 3 What is the value of (-7 - (-2 - 1)) + 3 + 0? -1 Calculate 6 - (5 + 6 + -2). -3 What is the value of (-55 - -63) + -9 + 1? 0 What is (26 - 30) + -2 + 2? -4 (7 - 3 - (2 + -1)) + -1 2 Evaluate 1 - 4 - (-9 - -3). 3 Calculate -18 + 3 - (2 + -10). -7 Evaluate (1 - (-3 + 5)) + 4. 3 What is (3 + 6 - 7) + -2? 0 What is (0 - -2) + 5 + -5 + -7? -5 What is 6 - (-3 + (4 + 4 - 3))? 4 What is (8 + -1 - -1) + -1? 7 What is 5 + (-3 - (6 + 0))? -4 10 - (6 + 3 - 4) 5 Evaluate 1 - (-3 + -2 + 12). -6 -7 + 6 + 8 + -5 2 What is 9 + 9 + 3 + -27? -6 Calculate -7 - (-11 + 5) - -5. 4 Calculate (-92 - -78) + (2 - -4). -8 Evaluate -8 + -3 + 11 - (0 - -1). -1 Evaluate (-2 - 3) + 3 - (-3 - -2). -1 What is 9 + (-1 - (0 + 1)) - 4? 3 Calculate (2 + 0 - (14 + -13)) + 1. 2 -1 - (-4 - (-3 - (8 + -4))) -4 What is 4 - (-5 + 0 + (3 - -7))? -1 Evaluate 3 + -10 + (0 - (2 + -6)). -3 Calculate -5 + (0 - -6 - (0 - -2)). -1 Calculate 1 - (2 + 4 + -10 + 10). -5 Calculate 11 + -5 + 1 - 7. 0 4 + -11 + (9 - 9) + 3 -4 Evaluate 2 - (-8 + 12 + (-7 - -2)). 3 What is the value of -5 - ((-5 - -1) + 0) - -3? 2 Calculate (4 - (-1 - -2)) + -3. 0 Calculate 1 + 10 + -4 + -6. 1 What is the value of 3 + 3 + (15 - 9 - 12)? 0 What is 3 + 2 - (3 - 1)? 3 -6 - (-11 + 14 + -2) -7 Evaluate 11 + 2 - (-6 - (-23 - -10)). 6 Calculate 44 + -51 - (-9 + -1 + 2). 1 What is the value of 2 + -2 + (1 - (-2 + -3))? 6 What is the value of 10 - (8 - (10 - 5)) - 5? 2 What is the value of (-1 - -1 - 5) + 1? -4 Evaluate (-7 - -1) + 3 + (2 - -1). 0 Calculate (17 - 10) + -7 - -5. 5 What is the value of -1 + 1 - ((9 - 10) + -1)? 2 What is the value of 0 + 3 + (7 - 7) + -5? -2 Calculate 1 + 5 + -2 + 2. 6 Calculate 15 + -13 - (-2 + 1) - 4. -1 What is (1 - 0) + 1 + -3 + 2? 1 1 + -9 + -350 + 348 -10 What is (-5 - -1) + (-1 - (-11 + 2))? 4 -12 + (-4 - (-4 - 6)) -6 What is (0 - -2) + 1 - (7 - 1)? -3 Evaluate -5 + 5 + (2 - 5) + 0. -3 (3 - -2) + 1 - (30 + -20) -4 What is (-4 - (7 + -12)) + -5? -4 What is the value of 4 - ((26 - 32) + 4 + -1)? 7 What is 3 + 11 + -15 - (0 + -1)? 0 Calculate (1 - 0) + (-6 - (-9 + 2)). 2 Calculate -2 + (8 - 5) + -6 + 0. -5 Calculate -7 + (-6 - -4 - -14 - 2). 3 Evaluate -2 + 6 + -3 + 0 + 1. 2 What is 3 + -5 + 1 + 2? 1 What is the value of -4 + (-14 - -9 - (-4 - 0))? -5 What is 9 - 0 - (11 + -7)? 5 What is 7 - ((4 - -4) + 0)? -1 What is the value of -2 - (2 + -3) - (0 + -4)? 3 What is the value of -4 - -8 - (-1 - -2)? 3 What is t
{ "pile_set_name": "DM Mathematics" }
345)/9. Calculate the greatest common factor of 14 and g. 7 Suppose -o = 2*r - 5 - 5, -5*o + 23 = r. Suppose 2*s + 5*v - 158 = 3*v, -2*v + o = 0. Calculate the highest common divisor of s and 11. 11 Suppose -2*q - q - 15 = 0. Let c = 8 - 44. Let t be (q/3)/(4/c). Calculate the greatest common divisor of t and 45. 15 Suppose -4*m + 9 + 7 = 0, 4*i - 4*m + 148 = 0. Let g = i - -77. Calculate the highest common divisor of 66 and g. 22 Let u be (-8)/(-28) - (-1364)/28. Suppose 7 = -56*k + 57*k. Calculate the highest common divisor of k and u. 7 Let w(i) = -i**3 + 2*i**2 + i. Let s be w(-1). Suppose -f - s*t = 2*t - 10, 0 = t + 1. Calculate the highest common factor of 112 and f. 14 Suppose -4*i = 0, -5*k + 2*i + 50 = -0*i. Suppose -2*v - 18 = 4*a + v, -7 = a + 2*v. Let h be ((-4)/3)/(a/45). What is the highest common factor of k and h? 10 Suppose -6*j + 4*z = -2*j + 108, 2*z - 100 = 4*j. Let g = j - -35. Let l(h) = -h**2 + 48*h - 443. Let p be l(35). What is the highest common factor of g and p? 12 Let i be (14/3)/((-2)/69). Let d = 1 - i. Calculate the highest common factor of d and 18. 18 Suppose -g = 3*y + 35 + 4, 5*y - 4*g + 48 = 0. Let d = y + 19. Calculate the highest common divisor of d and 35. 7 Suppose 4*r - 120 = -r. Suppose 4 = -5*f + r. Suppose -v = f*z - 15, -2*z = -3 - 1. What is the highest common divisor of 21 and v? 7 Suppose -5 = 2*p + 2*r - 23, -2*p = r - 21. Let a(l) = l**2 - 10*l - 14. Let b be a(p). Calculate the highest common divisor of b and 25. 5 Let h(y) = -y**3 + 12*y**2 - 12*y + 16. Let p be h(6). Calculate the highest common divisor of p and 100. 20 Let a be (1 - (-44)/(-6)) + (-1)/(-3). Let c be -3*((-5)/(-4))/(a/144). Calculate the highest common divisor of 36 and c. 18 Let c(x) = -x**2 + 9*x + 8. Let y be (-460)/(-52) + 2/13. Let n be c(y). Let a(b) = 16*b - 2. Let m be a(n). Calculate the highest common factor of 14 and m. 14 Let l = -22 - -4. Let x(n) = -n**3 - 18*n**2 - 4*n + 38. Let v be x(l). What is the greatest common divisor of v and 20? 10 Let f = -34 - -136. What is the greatest common divisor of f and 42? 6 Let b be 4/5*(-4 - 1)/(-1). Suppose b*p = 3*c + 214, 3*p + c - 222 = -p. Calculate the highest common factor of p and 11. 11 Suppose 255 + 410 = 5*n - t, 4*n - 5*t = 511. Let l be (496/(-12))/((-10)/(-15)). Let g = n + l. Calculate the highest common factor of g and 18. 18 Let b = -50 - -54. Let l be 2 + b/(-12)*-6. What is the highest common divisor of 20 and l? 4 Suppose 0 = 5*r - h - 174, 53 = r - h + 19. Let l = 686 + -681. What is the highest common divisor of l and r? 5 Let k(n) = 34*n - 178. Let o(l) = 23*l - 119. Let d(r) = 5*k(r) - 7*o(r). Let q be d(12). Calculate the greatest common divisor of q and 51. 51 Let w = -36 + 58. Suppose -14 = -f + w. Calculate the highest common factor of f and 24. 12 Let p(d) = -47*d. Let z be p(-3). Suppose -42 = -x + 3*y - 7, -3*y = 3*x - z. Calculate the greatest common factor of 11 and x. 11 Suppose -23*o - 5*l + 25 = -18*o, -4*o + 35 = l. What is the greatest common factor of o and 13? 1 Let w be (-1648)/(-96)*6 + -6 + -1. What is the highest common divisor of w and 120? 24 Let j = 8 - 0. Suppose -7*q = -383 - 121. What is the highest common factor of q and j? 8 Let g(u) = 12*u**2 - 2*u**2 + 11*u + 0*u**2 + 22 - 3*u**2. Let s be g(-4). What is the greatest common factor of 20 and s? 10 Suppose -240 = -7*f - 72. Suppose 6*i - 7*i + f = 0. Calculate the greatest common factor of 3 and i. 3 Let o(k) = k**3 - 22*k**2 - 48*k + 377. Let p be o(24). What is the greatest common factor of 65 and p? 13 Suppose 5789 = 5*i + 5769. What is the highest common factor of 972 and i? 4 Let c(x) = x**3 - 6*x**2 + 10*x - 14. Let f be c(7). What is the greatest common factor of f and 63? 21 Suppose 0 = 22*k - 29*k + 539. What is the greatest common divisor of 2079 and k? 77 Suppose -8*b - 4*j + 180 = -4*b, -5*b + 228 = 2*j. What is the highest common factor of b and 4? 2 Suppose 4*o = 3*u + 4, o + 0*o - 4*u - 14 = 0. Let y = 12 + o. Suppose 0 = -z + 115 - 35. Calculate the highest common divisor of z and y. 10 Suppose 3*z = -0*z + 6. Suppose y - 33 = 2*v, 4*y = z*v + 190 - 70. What is the highest common factor of 29 and y? 29 Let q be (-96)/(-28)*(-1 - -8). What is the greatest common divisor of 320 and q? 8 Let c be (60/(-14))/(1/(-14)). Let l(b) = -7*b + 3. Suppose 3*h = 5*j + 8, 4 = -2*j + 3*h - 1. Let z be l(j). What is the highest common factor of c and z? 10 Let x be 240/(-4 - 1)*(-3)/2. What is the greatest common factor of x and 54? 18 Suppose 1891 = -188*c + 24117 + 4094. Suppose -t = -0*t - 35. What is the greatest common factor of c and t? 35 Let r(g) = g**3 - 30*g**2 + 79*g + 60. Let f be r(27). What is the highest common factor of 9 and f? 3 Suppose -7*i + 12*i = 0. Let d be 38 + (1 - i - 3). Let o(r) = 2*r**2 + r - 3. Let q be o(-3). Calculate the highest common divisor of q and d. 12 Let l(t) = -t**2 - 21*t - 72. Let s be l(-14). Let v be (-70)/(-22) - 10/55. Suppose -2*q + 49 + v = 0. What is the greatest common divisor of q and s? 26 Let d(b) = -b**3 + 10*b**2 - 11*b + 9. Let x be d(7). Suppose g = 61 + x. Calculate the greatest common factor of g and 20. 20 Let t = -114 + 67. Let i be (t + 67)*((-5)/(-2) - 1). What is the greatest common factor of 210 and i? 30 Suppose 2*r - 546 = 266. What is the highest common factor of r and 14? 14 Suppose -5338 + 1338 = -25*r. What is the greatest common divisor of r and 96? 32 Let u = 539 + -331. Calculate the greatest common factor of 13 and u. 13 Let p(u) = u**3 + 9*u**2 + 41. Let b be p(-9). What is the greatest common factor of b and 451? 41 Let b(d) = -d**2 + 13 + 69 + 8. Let q be b(0). Let c = q + -13. What is the greatest common divisor of c and 11? 11 Suppose 7*v + 8 = -k + 4*v, -2*v - 6 = 0. Let n be (-5)/(k + 28/(-26)). What is the highest common divisor of 13 and n? 13 Suppose 0 = a - 5*n - 590 - 1545, 5*n + 6455 = 3*a. What is the greatest common divisor of a and 6? 6 Suppose 6*a + 10490 = 5*c + 4*a, 4*a = -c + 2120. Calculate the highest common divisor of c and 10. 10 Let h = -15 + 19. Let z(w) = w**2 - w + 4. Let f be z(h). Calculate the greatest common factor of 144 and f. 16 Let r be (-7890)/(-45) + ((-8)/6 - -2). What is the greatest common divisor of 64 and r? 16 Let p be (6/4)/(-1) + (-183)/(-2). What is the highest common divisor of p and 60? 30 Let u = -64 - -225. What is the highest common factor of u and 7? 7 Let t(z) = -z**3 - 10*z**2 - 8*z + 14. Let p(v) = -3*v**2 - v + 1. Let s be p(-2). Let g be t(s). What is the highest common divisor of 15 and g? 5 Let j(m) = m**3 + 45*m**2 - 61*m - 424. Let r be j(-46). What is the greatest common divisor of 28 and r? 14 Let r(b) = -b**3 + 72*b**2 + 99*b - 1873. Let i be r(73). Let l be 2/(-3) + 34/6. Calculate the greatest common factor of l and i. 5 Suppose 0 = -14*j + 12*j - f + 1404, 2*j - 4*f = 1424. Calculate the greatest common factor of 33 and j. 11 Let p be (-10)/(-2) + -1 - (-99 - -59). What is the highest common divisor of p and 44? 44 Let v(z) = z + 17. Suppose 16 = 4*t, 2*t - 99 = -5*b + t. Let y = 14 - b. Let o be v(y). What is the greatest common factor of o and 12? 12 Let d = 778 + -607. What is the greatest common factor of 36 and d? 9 Let h = 133 + -132. Suppose 20 = 3*n + n. Let r be 1*n/((-5)/(-4)). What is the highest common divisor of h and r? 1 Let d = -25 + 88. Let k(h) = -h**3 - 4*h**2 + 9*h - 1. Let o be k(-6). Suppose -o - d = -u. What is the highest common divisor of u and 10? 10 Suppose -53*g + 64*g - 3960 = 0. Calculate the greatest common factor of g and 144. 72 Let q = -28 - -39. Suppose 4*u + 5 + 3 = 0. Let x be (-9)/(-15) - u/5. What is the greatest common factor of q and x? 1 Suppose 0 = -k + 2*a, k + 2*a = 6*a - 2. Let h be 2*6*10/k. Let l be (-2)/(-8) - (-94)/8. Calculate the highest common divisor of h and l. 12 Suppose 55*i + 5*i = 25500. What is the highest common divisor of i and 17? 17 Suppose 189 = 4*m + 3*r, 10 = m + r - 36. Let k(a) = 2*a**2 - 8*a - 7. Let v be k(6). What is the greatest common divisor of m and v? 17 Let g = -565 - -1775. Calculate the highest common factor of 220 and g. 110 Let i = -20 + 22. Suppose 0 = -f + i + 48. Suppose 5*d - 4*s = -3*s + 282, 0 = -d - 3*s + f. What is the greatest common
{ "pile_set_name": "DM Mathematics" }
58 = 3*a - 137. Is 13 a factor of a? True Suppose -32 = -5*r + 23. Suppose 5*w - 226 = 3*u, 3*u = r - 2. Is 12 a factor of w? False Is 67/1 + (-1 - -1) a multiple of 12? False Suppose -2*x - 7 = -u, 0 = -5*x + 3*u - 17 - 2. Is ((-15)/(-12))/(x/(-40)) a multiple of 7? False Does 6 divide 2 + -5 + 21 + -6? True Let o = -5 + 10. Suppose 2*t + 4*h = 5*t - 75, -o*h - 72 = -3*t. Is t a multiple of 12? False Suppose -3*u + 14 = -2*p + u, -5*p + 5*u - 10 = 0. Suppose -3*j + 108 = p*h, -4*j + 3*j + h = -32. Is 9 a factor of j? False Let o(i) = i**2 + 3*i - 2. Let t be o(-6). Let a = t - 9. Suppose -2*x + 18 = 5*c - a, 4*x - 29 = -3*c. Is c even? False Let b be (6/(-2))/(0 - 1). Suppose -4*h + 104 = 2*k, 4*h - 112 = -b*k - k. Does 8 divide h? True Let o(a) = -5*a - 28. Does 18 divide o(-13)? False Suppose -2*o + 0*o + 2*l = -6, 0 = -l - 3. Suppose 5*n - 5 = o, -3*p + 6*n - n = -46. Does 7 divide p? False Let m(o) = -3 - 1 - o - 5*o - 5*o. Is m(-3) a multiple of 13? False Suppose -27 = -7*u + 4*u. Is 8 a factor of u? False Let k = 35 + 23. Does 21 divide k? False Suppose -240 = -4*y + 2*y. Suppose -3*v + y = 5*m, -3*m = -7*m + v + 113. Suppose -b + 5 = -m. Is b a multiple of 14? False Let d = -30 + 46. Does 2 divide d? True Suppose 8 = l - 4*v, 2*l + v - 2 = 2*v. Let h be (l - 11/(-4))*4. Suppose -3*z = -2*z - h. Does 11 divide z? True Let k = 2 - -63. Is 12 a factor of k? False Suppose 0 = n - 2*n - r + 187, 4*r = -2*n + 364. Does 19 divide n/10 + (-1)/5? True Suppose l - 6*l - 380 = -5*q, -4*l = 3*q - 228. Is 7 a factor of q? False Let x = -135 - -205. Is x a multiple of 13? False Let o be (2/(-3))/((-1)/(-3)). Is o/(-6) + 70/6 a multiple of 6? True Let g = -66 + 80. Does 14 divide g? True Let i(u) = -u**3 + u**2 - u + 104. Let g be i(0). Suppose 0*h - 4*h = -g. Does 9 divide h? False Suppose -4 = t - 8. Suppose t*z - 15 = -z. Suppose -5*d + 4 - 2 = 2*b, -2*b + 6 = z*d. Does 6 divide b? True Let h(p) be the third derivative of -p**6/120 + 16*p**3/3 + 6*p**2. Is h(0) a multiple of 16? True Does 25 divide 2 + (-12)/4 + (53 - 1)? False Let l(u) = u**3 + 8*u**2 + 11. Suppose 8 + 0 = -q. Is l(q) a multiple of 11? True Let i = 11 - 0. Suppose 0 = 3*b + 15, 2*b - 25 = -i*k + 6*k. Does 7 divide k? True Let k = 8 - 0. Does 3 divide k/(-20) - (-34)/10? True Let m(j) = -2*j**3 - 22*j**2 + 6*j + 13. Is 14 a factor of m(-12)? False Let f(p) = -2*p**3 + 4*p**2 - 3*p + 1. Let j be f(2). Suppose 0 = t + 7 + 6. Let y = j - t. Is 3 a factor of y? False Suppose 0 = -5*w + 1 - 16. Let i(h) = h**2 + 12*h - 6. Let g be i(-13). Let p = g + w. Is p a multiple of 4? True Suppose -v + 2*v = f - 2, -4*v = f - 7. Suppose 3*a = -f*i + 51, -5*i + 4*i = 4*a - 26. Is i a multiple of 5? False Suppose 0*p = -4*p + 3*k + 10, 3*k = -4*p + 22. Let t be (-2)/(-2)*44/p. Suppose t = q + f, -2*q + 5 = -q + 3*f. Does 7 divide q? True Let k(f) = -f**3 - 11*f**2 - 12*f - 6. Is k(-10) a multiple of 3? False Suppose 3*a = 2*p - 56, -3*a + 16 = p - 12. Suppose -k = 3*k - p. Let f = 14 + k. Is f a multiple of 7? True Let b(d) = d**3 + 3*d**2 - 2. Is b(5) a multiple of 10? False Suppose 2*q + 5*f = 138, 9*q - f - 345 = 4*q. Let w = q - 49. Does 10 divide w? True Let f = -30 + 33. Is f even? False Suppose o + 2 = -5. Let l be (-21)/(-6)*(-4)/o. Suppose 5*i + 2*b = 290, i + 4*i - l*b - 270 = 0. Is 18 a factor of i? False Suppose -b - 3*b = 3*t - 860, 5*t = 0. Suppose -5*q + b = -3*o, 0*q - 3*q + o = -129. Is 12 a factor of q? False Let p(a) = a**2 - a - 5. Is p(5) a multiple of 4? False Let b(k) = -k - 6. Let x be b(-9). Suppose -x*w + 75 = 3*v, -59 = 3*w - 6*w + v. Is 8 a factor of w? False Suppose b - 150 = -3*l - 3*b, -5*l + 5*b = -215. Is l a multiple of 12? False Let o be -1 - -2 - (-2 - -1). Suppose 5*t - 4 = d, o*d - t - 57 = -4*t. Is 6 a factor of d? False Let k(f) = f**2 - f - 8. Let x be k(0). Is 7 a factor of (-206)/x - (-1)/4? False Let z = -12 - -4. Let j be (z/(-10) + -2)*-85. Suppose 2*p - 4*l - j = 0, -195 = -3*p - 2*l - 42. Is p a multiple of 18? False Suppose -2*g = 5*w - 3*w - 90, -w = 2*g - 88. Let p = 5 + g. Does 13 divide p? False Let v be (4 + -3)*(3 + -2). Is 50 + (v - 2) + 1 a multiple of 18? False Let u(c) = c**2 + 9*c + 9. Is 13 a factor of u(-12)? False Let q(n) = -n**2 + 15*n + 10. Let u = 10 + 4. Is 8 a factor of q(u)? True Suppose -c + 12 = 9. Suppose -q - 4*t = 3*q - 148, c*q = 3*t + 99. Does 16 divide q? False Let l(h) = -h**3 + 4*h**2 - h + 1. Let w be l(4). Let u = 7 + w. Suppose -13 + u = -x. Is 5 a factor of x? False Is (-3*24/(-21))/((-2)/(-28)) a multiple of 16? True Let l(v) = v**3 - 3*v**2 + 2. Let q be l(3). Let k = 6 - q. Is 14 a factor of (252/(-8))/((-3)/k)? True Let a(o) = 4*o**2 - 6*o - 13. Is a(7) a multiple of 20? False Let z = -18 - -12. Let v = z - -8. Suppose k = -5*q + 13, -2*k + 4*k - 14 = v*q. Is 3 a factor of k? False Suppose -5*c = -20, 3*p + 2*c = -2*c + 43. Is p a multiple of 5? False Let w = 20 + 4. Suppose -2 - 3 = -a. Suppose a*f - 66 = w. Does 9 divide f? True Let s = -5 + 10. Suppose -s*c + 66 + 9 = 0. Suppose -3*i = -3 - c. Is i a multiple of 3? True Let c = 3 - -1. Let j be 16/(-6)*(-6)/c. Is 11 a factor of 6 + j - (-1 + 0)? True Let o = 60 + -36. Does 12 divide o? True Suppose -4*x - 3*v - v + 12 = 0, -3*x + 3*v + 3 = 0. Suppose 0 = x*n - 0*n - 34. Suppose 2*f - n = 5. Does 11 divide f? True Suppose 3*d + 0*d = 6. Suppose -u + 87 = -2*u - y, -5*u - 444 = d*y. Is 6 a factor of (6/4)/((-9)/u)? False Suppose 0 = 5*t - t - 72. Suppose 3*i + t = 51. Is i a multiple of 6? False Suppose -15*d - 296 = -1136. Is 7 a factor of d? True Suppose -3*l - 5*h = -7*l - 13, 2*l + 3*h = 21. Suppose 0 = -b + 2*s + 29, 5*s + 4 = -3*b + 36. Let c = b - l. Is 8 a factor of c? True Let p(c) = 8*c**2 + 5*c + 3. Is p(-3) a multiple of 15? True Let m(p) = 2 + 3*p - 4 - 4 + 2. Let d be m(3). Suppose 0 = d*y - 31 - 29. Does 12 divide y? True Let k be 7/8*-2*12. Does 10 divide 54*(k/(-6) - 3)? False Let j = -296 + 524. Is 19 a factor of j? True Suppose 18 = -n + 3*n - 3*t, -3*n = t - 38. Does 3 divide n? True Let r(w) = -w**2 + 14*w - 12. Suppose 0 = -2*t + 4 + 18. Is 7 a factor of r(t)? True Let w be (3/9)/((-2)/(-6)). Let o = w - -4. Is o a multiple of 2? False Let w = 139 - 83. Is 8 a factor of w? True Suppose 148 = h + 3*h. Let b(n) = -n**3 + 2*n**2 + n - 1. Let g be b(3). Let c = h + g. Is 15 a factor of c? True Suppose -q - 4*q + 10 = 0. Let x be (q - -1) + (0 - -2). Suppose x*p - 392 = -102. Does 20 divide p? False Let w be -5 + (1 - 1) + 2. Let y be 2 + w*1 + -1. Let n = y + 7. Is n a multiple of 2? False Suppose 5*d - d = -5*f + 58, 0 = 4*f - 5*d - 30. Suppose 5*x - 4 = k + 18, -f = -2*x. Suppose -k*t = -t - 102. Does 18 divide t? False Let g(q) = -q**2 - 4*q + 1. Does 2 divide g(-3)? True Let q(b) = b**2 + 5*b + 4. Let g be (-1 + -3)*(-2 - -3). Let r be q(g). Suppose r = 3*f + 9 - 24. Is 2 a factor of f? False Suppose 20 = 4*w, -3*l + 6*w + 218 = w. Is 25 a factor of l? False Suppose -16 = 3*d - d. Let p = d - -13. Let h = 14 - p. Is 9 a factor of h? True Let q = -37 + 53. Is q a multiple of 8? True Let b be 364/126 - (-1)/9. Suppose 17 = 2*g + b. Does 3 divide g? False Let s = 516 - 311. Is 15 a factor of s? False Suppose -5*n + 7 + 8 = 0. Suppose 3*t = -2*f + 5*f - 39, n*f = -2*t + 44. Is 14 a factor of f? True Let k = -292 + 466. Is k a multiple of 12? False Let m(h) = h**2 + 3*h - 15. Does 13 divide m(-8)? False Let u(w) = -4*w**2 - 5*w + 11. Let r(l) = -5*l**2 - 6*l + 10. Let x(s) = 5*r(s) - 6*u(s). Let y be x(0). Does 2 divide y/(-7) + (-4)/14? True Let i(z) = -z**2 - z - 7*z**2 + z**2. Let u be i(1). Is (9 - u) + 3/1 a multiple of 13? False Let p(t) = -3*t - t**2 + 0*t**2 + 10*t + 3. Let c(s) = s**3 - 5*s**2 - 6*s + 7. Let u be c(6). Does 2 divide p(u)? False Let h(b) = 3*b - 62. Is h(24) a multiple of 5? True Let f(d) = 10*d - 1. Suppose -4*w = -2*k - 2, -4*k + 28 = 3*w - 1. Let m be f(w). Does 14 divide (-2 - -1) + 0 + m? True Suppose 0 = 4*h - 3*c + 9, -3*h = 2*c - 3*c + 3. Suppose h*d + 2*d = 90. Is 18 a factor of d? False Let f = 21 - 13. Let i = f + -3. Suppose -2*u = -i*s - 6, -4*s + 16 = -0*s. Is 13 a factor of u? True Suppose -5*f - 41 = -3*n - 151, 110 = 4*f + 2*n. Suppose 3*w = -208 + f. Let t = 100 + w. Is 13 a factor of t? True Le
{ "pile_set_name": "DM Mathematics" }
4*c - 11 = 60, -2*t = c - 26. Let p be (-22)/187 - (-446)/34. Solve -r + p = t for r. 2 Let b(c) = 16*c**2 + 27*c + 16. Let l(j) = -50*j**2 - 81*j - 48. Let y(a) = -19*b(a) - 6*l(a). Let i be y(-6). Solve i = 29*p - 31*p for p. -1 Let t(u) = -u**3 - 16*u**2 - 47*u + 26. Let o be t(-4). Solve o*p - 44 = 11*p for p. 4 Let u(i) = i**2 - 3*i - 7. Let w be u(5). Let p = -172 + 96. Let v = p - -76. Solve v*x - 6 = w*x for x. -2 Let r(x) = -184*x + 177*x - 19 - 19. Let i be r(-6). Suppose -10 = 5*y, 5*t + 0*t = -i*y - 8. Solve 8 = -t*g - 2*g for g. -4 Let g(l) = -l**3 + 19*l + 15. Let m(b) = 2*b + 2. Let t be m(-3). Let o be g(t). Solve 0 = -o*r + 7 + 8 for r. 5 Let k(w) = -w + 4. Let j be k(-8). Suppose -o + 3*o + 5*q = 20, o + 3*q = j. Let i = -3 - -5. Solve -b - i = -o for b. -2 Let f be -8*(-40)/(-16)*221/(-170). Solve -4*r = -14 + f for r. -3 Let y = 5237 - 5235. Suppose 4*t - 5*n - 12 = 0, 0 = 3*t - 4*n - 3 - 6. Solve -y*o = t + 1 for o. -2 Let d(q) = q**2 + 3*q + 35. Let g be d(8). Let n be 8/112 + g/42. Solve 15 = n*t + 24 for t. -3 Let q(h) = h**2 - 9*h + 51. Let g be q(8). Let z = 68 - g. Suppose -4 = 3*j + 2*p, 0 = -2*j - p - 3*p - 8. Solve j = 2*r + 3*r - z for r. 5 Suppose 2 = 14*a + 2. Suppose -h - 5*m + 3 + 2 = a, -5*h + 5*m = 5. Solve -2*f - 8 = -h*f for f. -4 Suppose -4*y - 132 = -45*g + 41*g, 3*y = -2*g + 21. Solve 645*f = 637*f - g for f. -3 Suppose -4*r = -3*a + 15, -68 + 78 = r + 2*a. Suppose -2*f = -6, -5*f + 32 - 11 = 3*j. Suppose 5*y = 2*y + 12. Solve y*t - j*t = r for t. 0 Suppose 0 = 25*f - 19*f - 414. Let p = -45 + f. Solve -8 = -4*b - p for b. -4 Suppose -10 = 66*c - 68*c. Let w(l) = -l**3 - 3*l**2 - 2*l. Let a be w(-2). Suppose a = 5*f + 1 - 16. Solve c*j = f*j for j. 0 Let u(a) = -a**2 + 7*a - 1. Let w be u(6). Suppose 2*v - 69 = -2*v + w*z, -5*v + 3*z = -70. Solve -6*h - 20 = -v*h for h. 4 Let y(n) = n**3 + 5*n**2 - 2*n + 1. Let r be y(0). Let h(k) = -k**3 + 3*k**2 - 2*k + 3. Let d be h(2). Solve -r = -d*g - 7 for g. -2 Suppose 5*j - 96 = -2*w + 2033, 5*j = -w + 2127. Suppose -427*c + 6 = -j*c. Solve 0 = 8*f - c*f + 25 for f. -5 Let x = -24829 - -24899. Solve -x*s - 25*s = 760 for s. -8 Let m = 34 - 16. Suppose -m*z = -14*z - 268. Let r = -65 + z. Solve -r*p + 5 = -5 for p. 5 Suppose 0 = 4*h - 3*r - 131, 2*h + 0*h - 76 = -2*r. Let u(p) = -p**2 - 280*p - 19256. Let o be u(-158). Solve 31*w - h*w = -o for w. 5 Suppose -4*m + 781 = -4*z - 583, m - 4*z = 344. Solve c + m = 334 for c. -6 Let j be 33/4 + 0 - 203/812. Solve j*a + 32 = 16*a for a. 4 Let c be (-6)/(-27) - 1533/(-27). Let g = -12232 - -12249. Solve 0 = 8*q - c + g for q. 5 Let a = -53 - -102. Let p(l) = l**3 - 118*l**2 + 376*l - 3521. Let o be p(115). Solve -a*t + 25 = -o*t for t. 5 Let l = -69 + 102. Let z be 5*(-10)/(-50)*7. Suppose z*a = 9 + l. Solve 0 = -a*j + j for j. 0 Let r be ((-1)/(-5) + 2376/270)*57/9. Solve r*u = 41*u - 80 for u. -5 Let s be (33/22)/(12/(-16)). Let p be (-4148)/(-170) - s/(-5). Solve 7*a + a - p = 0 for a. 3 Let t be -6*(-7)/((-28)/(-2)). Let r(g) = 2*g**2 + 2*g - 57. Let f be r(-6). Solve f = t*c + 6 for c. -1 Let z(q) = q**2 + 7*q + 14. Let d be z(-5). Let c be (12/18)/(1/(150/d)). Let i(f) = -f**2 + 23*f + 50. Let k be i(c). Solve 2*p - 14 + 4 = k for p. 5 Suppose 37 = r - 35. Let c be (-3)/(r/(-52))*6. Suppose -8*y + c*y = 20. Solve -y*j = -j for j. 0 Let y = -91 + 89. Let d be -2 + (y - (-6 + -5)). Solve 2*w + 15 = d*w for w. 3 Let u be 22/5 + (-1176)/840. Let t be ((-16)/5)/(14/(-35)). Solve -11*l + u*l - t = 0 for l. -1 Suppose -2*l + 9 = -z, -3*z + 9 = 2*l - 12. Suppose 0 = 3*g - 5*j - 45, -3*g - 38 = -7*g + 3*j. Solve -g*u + l = -7*u for u. -3 Let r be -6*((-3)/(-6))/(-1). Let y be (888/88 + -11)/(1/(-22)). Solve y*w = 17*w - r for w. -1 Let n be 12360/160 + 3/4. Let h = 87 - n. Solve -r - 2*r = h for r. -3 Suppose -408 = -0*d - 8*d. Let u = d - 49. Suppose 5*i = -4*f + 40, -3*f = i + u*i - 21. Solve -i = 4*x - 4 for x. -2 Let m = 1396 - 1377. Solve -m*y = -21*y - 10 for y. -5 Let x be (35 - 430/(-70)) + 16/(-14). Solve -x*c + 90 = -110 for c. 5 Suppose 0 = d - 4*j - 62, -121*d - 583 = -131*d + 3*j. Solve d*t - 94 + 326 = 0 for t. -4 Let c be (1*9)/(7/210*9). Suppose 0 = 31*f - c*f - 3. Solve -d - f*d = -4 for d. 1 Let i = 32 + -28. Let y be (-6)/i*-1*(3 - 1). Suppose -6*h + 9*h = y. Solve -11 = 3*g + h for g. -4 Let z = 89 - 86. Suppose -z*a + 0*a = 0, -3*a = 3*u - 9. Solve 0*h - u = h for h. -3 Let j = 199 + -168. Solve -j*r = -54 - 8 for r. 2 Let g = -38002 + 38038. Solve 2903*k - 2899*k = g for k. 9 Let x be (-35)/28 - (-10)/(-80)*-258. Solve -x*g + 16 = -23*g for g. 2 Let w(b) = 20*b**3 + b**2 + b - 1. Let c be w(1). Suppose 6*r + 2*u - 61 = 79, 34 = r + 3*u. Let p = r - c. Solve 4*x - p = 3*x for x. 1 Let i = -100 + 115. Suppose -18 = -3*t + 3*n, -2*t - 3 = n - i. Solve k = -2*k - t for k. -2 Suppose -3*i = -4*m, 2*m = -4*i + m. Suppose 5*g - 24 = -4. Let l be (5 + (i - g))*3. Solve -11 + l = -2*b for b. 4 Let v(i) = -i**2 + 33*i - 41. Let q be v(31). Let k(n) = n**2 - 11*n - 210. Let a be k(q). Let l(m) = 6*m**2 - m. Let o be l(1). Solve o*p - 4 + 29 = a for p. -5 Let s = 17496 + -17414. Solve -56*c + 15*c + s = 0 for c. 2 Let k(j) = -2*j**3 - 9*j + 3. Let l be k(0). Solve 517*s - 516*s - l = 0 for s. 3 Suppose 176*r - 506 = 130*r. Solve 0 = r*o - 6*o - 20 for o. 4 Let j(n) = 3*n**2 + 17*n + 26. Let y be j(-2). Suppose -4*c = -3*c + 7. Let i = 12 + c. Solve -y*h - h - i = 0 for h. -1 Let x(k) = -31*k + 2. Let a be x(-3). Suppose 624 = a*d - 89*d. Let v = -94 + d. Solve -4*m = -2*m - v for m. 5 Let a = 9289 - 9241. Solve 0 = 18*m - 42 - a for m. 5 Suppose -11 = 7*u + 3. Let h be (u - 2) + -4 + 5. Let t be ((-4)/(-6))/((-1)/h). Solve -t*w - 10 = -4 for w. -3 Let a(x) = x**2 - 3*x + 5. Let s be a(3). Suppose s*q - 189 = -59. Suppose -9*c + q = 4*c. Solve c*z = z - 1 for z. -1 Let u be (48/10)/(-12)*(-2 + -38). Solve -f - 7*f = u for f. -2 Suppose 0 = -3*r + 13 + 2. Suppose -r = 4*y - 13. Solve 20 = -y*k - 3*k for k. -4 Let i = -415 - 146. Let r = i - -563. Solve -r*j + 9*j = 35 for j. 5 Let t(c) = -63*c + 143*c - 14 - 14*c**2 + 4*c**3 + 0*c**3 - 79*c - 3*c**3. Suppose -28 = -g - g. Let j be t(g). Solve j = 5*m + 3 + 2 for m. -1 Let w(r) = 27*r**3 + 2*r**2 - 23*r + 40. Let p be w(2). Solve 6*t + 236 = p for t. -3 Suppose 3*i = -7*i + 150. Suppose 4*z + 5*o + 15 = 0, 0*z - 4*z + 5*o = -i. Solve -3*d - 2*d = z for d. 0 Suppose 9 = 2*j + 7. Let q be 1*(j + 3)/4 - -3. Suppose q*g + 1 = 13. Solve -g*o + 0*o + 12 = 0 for o. 4 Let y be (-3)/(3/(2/((-2)/2))). Let r be 96/44 - y - 2/11. Suppose r = 4*x + 2*w - w - 16, 4*x = -5*w. Solve 9 + 1 = -x*u for u. -2 Let d(z) = 2*z - 162. Let a be d(86). Solve -2*t + a = -4*t for t. -5 Let f(s) = 12*s + 5*s**3 - 13*s**2 + 21 + 2*s**3 + 4*s**2 - 8*s**3. Let o be f(-10). Solve -t + o = 4 for t. -3 Suppose 3*s = -2*p - 8, -4*s = -6*s - 5*p - 9. Let j = 2 - s. Solve 2 - 2 = -j*n for n. 0 Suppose -247 = -16*y + 89. Suppose -5*m - g = -23, -3*m + 5*g = 2*g - y. Solve 0 = -m*a + 39 - 14 for a. 5 Let z be (12/(-5))/(6/(-10)). Suppose -n = 3*k - z, 5*k - k = 0. Solve -n = h - 5 for h. 1 Let c(o) = 2*o**2 + 9*o + 3. Let r be c(-4). Let z be (-92)/(-12) - 3/(-9) - r. Solve -z*k + 12 = -5*k for k. 3 Let w = 121 + 79. Let d = w - 198. Solve p + 1 - d = 0 for p. 1 Suppose -4*v + 48 = 20. Suppose -2*m - 2 = -5*z, z - 92 = 3*m - 89. Solve z = 2*h - v - 3 for h. 5 Suppose 4 = 3*z - z. Let y be (-2)/(-8)*3/(24/160). Suppose 0 = 3*n + m - 7, -5*n - 3*m = -y. Solve -n*t + 8 = -z*t for t. 4 Suppose 206316 = -41*n + 206439. Let i = 2 - 2. Solve i = n*t - 0*t + t for t. 0 Let c = 26 + -26. Let f be 5 - c - (-1 - -2). Suppose -18 + f = -7*i. Solve i = -d + 1 for d. -1 Suppose 5*f - 5*c = 740, -127*c - 18 = -124*c. Solve -f = 27*s - 7 for s. -5 Let r be (8/3 - (-6 + 8))*27. Suppose -13 - 11 = 4*a + 4*u, 0 = -5*a - u - r. Let k be ((-4)/a)/(12/45). Solve -k*m + 20 = -0*m for m. 4 Let w be 2/(-9) - 73*10/(-45). Let q be ((-24)/w)/((-9)/12). Solve a - 2 = q for a. 4 Let u be 6/15 + (-3 - (-614)/(-10)). Let t be ((-18)/8)/((216/u)/9). Solve 0 = 3*j + t - 15 for j. 3 Let u be (-1 - -5) + 1 + -5. Let v = u - 0. Suppose n = -2*h + 7, 3*h + v = n + 3. Solve -h*j - j = -9 for j. 3 Let g be -9 + (177 - (1 - -1)). Solve
{ "pile_set_name": "DM Mathematics" }
/(-54). Is g greater than or equal to 1/66? True Let l(n) = n**2. Let o be l(-2). Suppose -3 + 1 = d - 3*j, o*j = -12. Which is greater: d or -12? d Let v(r) = -r**2 + 26*r - 32. Let c be v(25). Which is smaller: c or -116/17? c Let n = -6.08 + 82.68. Let y = n + -67. Let v = y - 10. Does 3 = v? False Suppose 3 = r - 2*z, -r - 3*z + 1 + 2 = 0. Let a be 1*r*9/(-27). Let c be (-2 - -1)*a - 7. Is c not equal to -5? True Suppose -k = n + 2, 5*n + 15 = -4*k + 5. Let c be 1/2 - (1 - 6/28). Are c and k unequal? True Let q(i) = -i**2 + 75. Let b be q(0). Let o = b - 91. Which is smaller: -17 or o? -17 Suppose -15 = -j + 48. Let t = -26 + j. Is t bigger than 38? False Let a = 108 - 120. Let f be 1 + 0 + 8 + -6 + a. Suppose -7 = -2*h - 5*x + 1, -4 = -2*x. Is h > f? True Let r(j) = -j**2 + 2*j + 2. Let f be r(-2). Let d be (14/42)/((-10)/186). Is d less than f? True Suppose -61 = -5*x - 16. Let p = x + 3. Suppose 0 = 37*q - 39*q + 22. Which is smaller: q or p? q Suppose 31 = 4*j - 5. Let p = 308 - 315. Let r be p/(-9) - (-2)/j. Are 1/6 and r equal? False Let o(v) = 206*v + 1629. Let g be o(-8). Is g < -16? True Let o = -1874 + 1901. Let j(r) = r**3 + 6*r**2 + 2*r + 6. Let q be j(-4). Which is smaller: o or q? o Let i be -2 + 3 - (-11)/(-17). Let o be (-17 - -19)/(-2 + 4). Which is bigger: o or i? o Let t = -106 - -92. Let a be ((-4)/t)/(11/77)*-1. Which is smaller: a or -7/3? -7/3 Let t = -127.9 + 126.9. Which is bigger: 119 or t? 119 Let n = 0.1 + 0. Let u = 18390/19 + -968. Which is bigger: n or u? n Let g(v) = v**2 + 29*v + 79. Let p be g(-26). Which is greater: -2/153 or p? p Suppose 0 = -2*z + 5*z. Suppose 3*r - 5*u = 13, z*u + u = 3*r - 5. Which is bigger: -2/19 or r? r Let f be ((-32)/10)/(1 + 68/(-120)). Is -6 bigger than f? True Let v be (-7)/((-182)/(-69)) + (-12)/(-78). Is 9 greater than v? True Let o(m) = -m**3 - 5*m**2 + m - 7. Let x be o(-6). Let a(u) = 11*u**2 + u + 23. Let l be a(0). Is x smaller than l? False Let h be (-40)/(-5) - (-1134)/(-140). Do -16/9 and h have different values? True Let u(x) = -x**2 + 13*x - 15. Let t be u(11). Let j be 184/23 + -1*5. Is t less than or equal to j? False Suppose 2*u + 85 = 5*z, 3*z + u + 2*u - 30 = 0. Suppose -5*n = -10*n + z. Does n = 1? False Let q be (-143308)/(-1392) - (3/12 + 0). Let g = 308/3 - q. Which is smaller: -1 or g? -1 Let s = -0.4293 + -22.7007. Let k = s + 23. Let a = 3.87 - k. Which is greater: -1 or a? a Let c be 0 + 9 + -2 - 1. Suppose c*q = 5*q. Suppose -k - 20 = 4*p, 4*p - 212 = 4*k - 232. Is k != q? False Let v be (-8)/3*189/(-42). Suppose -4*k + v = l - k, -5*l = -k + 20. Suppose 7 = 4*p - 1. Is p at most l? False Let s = -70 + 54. Let o be 4*(-22)/s + (-9)/(-6). Which is smaller: 2 or o? 2 Let b be 2/10 - (0 - 79/30). Is b greater than 2? True Let o = -0.1 + -1.9. Let m = 2.1 + o. Let b = 12.825 + 0.175. Which is smaller: b or m? m Suppose 77 = 2*w + 2*f - 7*f, 2*f - 118 = -4*w. Suppose -6*l + 4*k - w = -l, 0 = -5*l - 5*k - 40. Let h be (2 + l/3)*21. Is h at least as big as -7? True Suppose 0 = -2*r - 15*r - 136. Which is greater: r or -0.09? -0.09 Suppose -21 = -u + 2*y, -5*y - 48 = -3*u + 17. Let j be u/10*(-48)/75. Is -1 at least j? True Let m = -17919778/1455 - -12316. Which is smaller: m or 1? m Let l = 0.057 - 0.677. Let t = 0.22 + l. Which is greater: t or 0.4? 0.4 Let f = -0.91 + -1.21. Let q = f - -2. Which is bigger: 0 or q? 0 Let r = 1 - 0. Let b = 14732/1989 + -296/39. Let a = b - 2/51. Which is greater: a or r? r Let n(c) = 85*c**3 - 6*c**2 - 6*c - 1. Let k be n(-1). Which is smaller: -88 or k? -88 Suppose -2*l + 3*y - 28 - 19 = 0, 5*y = -2*l - 23. Is l not equal to -11? True Let k be 4/10*2130/2414. Which is smaller: -34 or k? -34 Suppose 5*f + 1855 = -5*q, -3*q + f = 321 + 772. Is q bigger than -365? False Let d = 0.689 - 0.74. Let x = -2.949 + d. Which is bigger: x or -2/13? -2/13 Suppose 14*c - 10*c + 275 = 5*n, -4*n - c + 220 = 0. Are n and 42 equal? False Suppose -184 = -10*h + 116. Which is greater: 31 or h? 31 Let c(g) = g**3 - 9*g**2 + 3*g + 49. Let b be c(4). Which is greater: b or -5? -5 Let c = -12 - -13. Suppose -2*x = -3*d - 41, -c = -d + 3*x - 3. Suppose 6*m - 119 = 13*m. Is d bigger than m? False Let g be (-66)/54 - 1/(54/(-12)). Which is greater: -342 or g? g Let b(v) = -10*v + 26. Let n be b(11). Let p = -422/5 - n. Is -1 equal to p? False Let i be 20/16 - (-30)/(-24). Do i and -70/13 have the same value? False Let p = 1332 + -197135/148. Is p at most as big as 0? False Suppose -44 - 131 = 35*a. Are a and -9 nonequal? True Let x(u) = 3*u - 17. Let o be x(5). Let c = o + 4. Let r be 3/(-6)*(-4 + c). Are 1 and r equal? True Let j = -373/9 + 153995/3717. Which is smaller: 1 or j? j Let t = -15 - 1. Let s = -2 - t. Which is greater: 3 or s? s Let b = -10663/52 - -2058/13. Let d = -47 - b. Which is greater: -1.9 or d? d Let r = -2 - 0. Let d be (2 - 3) + (-2 - -4 - 2). Let a = r + d. Is -2 > a? True Suppose -5*d = -z - 1014, 19*z = 22*z - d + 3028. Is z >= -1009? True Let b = 11.7 - -0.3. Let d = 431.1 + -419. Let r = d - b. Is r bigger than 0.3? False Let u(g) = -g - 2. Let f be u(4). Let b(d) = d**3 + 7*d**2 + d - 3. Let n be b(f). Let y = -29 + n. Is y at least as big as 1? False Suppose 9*i - 4*i - 4*a = 350, 5*a = 5*i - 345. Suppose -4*q + 19 + 281 = 0. Which is smaller: i or q? i Let c be 495/(-55)*4/18. Which is smaller: -109 or c? -109 Let b(l) = l**2 + 9*l + 3. Let u be b(-9). Let s = u + 0. Suppose 4*n - 2*z - 10 = 0, -s*n + 8 = 3*z - 4*z. Is -1 at most as big as n? True Let w be -5*(-3)/30*-4. Let l be w - ((-415)/5)/(1 + 0). Which is greater: l or 82? 82 Let r(p) = p**3 + 8*p**2 - 20*p - 2. Let u be r(-10). Let b(o) = o**3 + 3*o**2 + 4*o + 2. Let n be b(u). Which is greater: n or -13/6? n Let w be ((-2)/4)/(6/(-588)). Let d = w - 48. Which is greater: d or 3? 3 Let u = 1126 - 1107. Suppose 0*s + 6 = 3*s. Let j(o) = o**3 + 4*o**2 - 3*o. Let y be j(s). Does y = u? False Let w be ((-2)/(-385))/((-2)/80*12). Which is smaller: w or 0? w Let j be 1145/27000 - (-1)/((-3)/1). Let h = j - -11/216. Suppose -1 - 2 = -3*x. Which is smaller: h or x? h Let r(z) = -1774*z + 135. Let y be r(-1). Which is smaller: y or 1908? 1908 Suppose 173*t - 170*t - 11 = 2*o, 5*t + o - 1 = 0. Which is bigger: t or 16? 16 Let s be (-12 - (-189)/14)*(-4)/4902. Is s less than 0? True Let j be (-12)/(-30)*-10*30. Which is smaller: -119 or j? j Let z be 6/12*(-2)/1. Let i = 10 + -6. Suppose 3*t = i*d - 7, d - t - 8 = t. Are z and d equal? False Let h be ((-2)/6)/((-12)/(-1332)). Let q be 2 + h - 8/(-4). Let l be 1/2 - q/22. Which is bigger: 1 or l? l Let i = -1500/5201 - -2/743. Does i = -287? False Let w be (2 - (0 - -1))/(-1). Let s(b) = b**3 + b**2. Let c be s(w). Let g = -67/136 + -1/136. Which is greater: c or g? c Let p = 3 - -7. Suppose -5*f + 15 = z + z, -5*z = 0. Is f < p? True Let k = -105 - -111. Which is greater: k or -1/4? k Let v be 1/35*316 - 39/65. Which is smaller: 8 or v? 8 Suppose -7*z + 0 + 7 = 0. Is z <= -1/92? False Suppose -3*p + 5*c - 8 = 0, 16*p - 17*p - 31 = 4*c. Do -13 and p have different values? True Suppose -41 = 3*a - 167. Let z = a - 40. Does 2 = z? True Let g = 135 + -206. Which is smaller: g or -67? g Let v = -676.163 + 676. Which is smaller: -1 or v? -1 Let t(z) = z**2 + 3*z - 11. Let j be t(-5). Let y be 32/(-14) - -2 - (-45)/819. Which is bigger: y or j? y Let h = 0.6 - 0.613. Let x = h + -1.087. Is x less than -1? True Let y = -1/4 - 1/4. Suppose 2*g - 3*t + 10 = 0, 2 = -3*g - g - 3*t. Which is smaller: g or y? g Let j = -0.053 + 3.053. Is j at least as big as 31? False Let z be 3 - (0/5 + 4). Let q be z/(-3) + (-91)/147. Which is smaller: -2/23 or q? q Let p = 75 - 129. Let s = p - -54.1. Which is smaller: -30 or s? -30 Let d = -374729/11 + 34113. Let n = -46 + d. Let m(a) = a - 6. Let f be m(7). Is n >= f? False Let o(t) = t**3 + 2*t**2 - 4*t + 26. Let d be o(0). Suppose -j + 0*j = 5*m - 23, 0 = -4*m + 3*j + d. Which is greater: 9 or m? 9 Let u = -0.078 - -0.408. Let h = -0.19 + u. Let g = 0.3 - h. Do g and 1 have the same value? False Let a = -409.92 + 467. Let d = a - 62.1. Let r = 5 + d. Is -0.2 at least as big as r? False Suppose -w + 3*w + 10 = 0, -4*f - w = -3. Which is greater: f or -46? f Let v = 11914 - 59052/5. Let l =
{ "pile_set_name": "DM Mathematics" }
0.001561 to 3 decimal places. -0.002 Round -17.54 to the nearest integer. -18 What is -15250 rounded to the nearest one hundred? -15300 What is 0.0002512 rounded to 6 decimal places? 0.000251 What is -0.00003496 rounded to six decimal places? -0.000035 What is 2040.3 rounded to the nearest one thousand? 2000 What is -0.000000023 rounded to seven decimal places? 0 What is -161859 rounded to the nearest ten thousand? -160000 Round 0.009337 to three decimal places. 0.009 What is 1273.09 rounded to the nearest one hundred? 1300 What is -0.000000825 rounded to six dps? -0.000001 What is 0.00001401 rounded to seven dps? 0.000014 Round 1504070 to the nearest ten thousand. 1500000 Round 25019400 to the nearest one hundred thousand. 25000000 What is 0.000002393 rounded to 7 dps? 0.0000024 What is -7980 rounded to the nearest ten thousand? -10000 What is 0.01992 rounded to two dps? 0.02 Round 0.000025207 to seven decimal places. 0.0000252 Round 0.0000027232 to seven dps. 0.0000027 What is -36545 rounded to the nearest one thousand? -37000 Round -7424 to the nearest 100. -7400 What is 61200 rounded to the nearest 1000? 61000 What is -566100 rounded to the nearest 100000? -600000 What is 0.014447 rounded to 4 dps? 0.0144 What is 1.5809 rounded to the nearest integer? 2 What is -10.34 rounded to zero decimal places? -10 What is -9160000 rounded to the nearest one hundred thousand? -9200000 Round 0.05722 to two decimal places. 0.06 Round -1649.5 to the nearest 1000. -2000 Round -0.142 to three decimal places. -0.142 What is -0.00000966 rounded to 6 dps? -0.00001 Round -0.006511 to 3 dps. -0.007 What is 26.11 rounded to the nearest integer? 26 Round 0.00000070766 to seven decimal places. 0.0000007 What is -0.5188 rounded to 1 dp? -0.5 Round 17176000 to the nearest 100000. 17200000 What is -0.0417327 rounded to two decimal places? -0.04 What is -1185.23 rounded to the nearest 100? -1200 Round 0.06104 to 2 dps. 0.06 What is -2.8329 rounded to 2 dps? -2.83 Round 7411.7 to the nearest 10. 7410 Round 406000 to the nearest 100000. 400000 Round -0.00013432 to 5 dps. -0.00013 What is -49620 rounded to the nearest 1000? -50000 What is -26951 rounded to the nearest 1000? -27000 Round -0.016192 to three dps. -0.016 Round -366.7 to the nearest 10. -370 Round 20992000 to the nearest one million. 21000000 What is 1293000 rounded to the nearest ten thousand? 1290000 Round 0.007515 to three decimal places. 0.008 Round 125140000 to the nearest one million. 125000000 Round -2900 to the nearest 1000. -3000 What is -390740 rounded to the nearest ten thousand? -390000 Round 1763400 to the nearest 10000. 1760000 Round 0.0000014323 to seven dps. 0.0000014 What is -0.0002965 rounded to five dps? -0.0003 What is -0.0000028 rounded to four decimal places? 0 What is 0.07695 rounded to two decimal places? 0.08 What is 0.0000012695 rounded to 7 dps? 0.0000013 What is -0.0037 rounded to three dps? -0.004 What is 9347.1 rounded to the nearest one thousand? 9000 What is -0.00000045144 rounded to 7 decimal places? -0.0000005 Round -0.0018421 to four dps. -0.0018 Round 1007000 to the nearest 100000. 1000000 Round -0.0005835 to 4 dps. -0.0006 What is -0.05687 rounded to 2 decimal places? -0.06 Round -22590000 to the nearest 1000000. -23000000 What is 0.00554 rounded to 4 dps? 0.0055 Round 0.0001502 to six decimal places. 0.00015 Round 11731500 to the nearest ten thousand. 11730000 Round 0.000331336 to six dps. 0.000331 What is 0.00003199 rounded to six decimal places? 0.000032 Round 0.000013335 to seven dps. 0.0000133 Round 0.0009549 to five dps. 0.00095 What is 0.000001917 rounded to 7 dps? 0.0000019 Round 1.5815 to 0 dps. 2 What is 21.049 rounded to the nearest integer? 21 Round 17960 to the nearest 1000. 18000 Round -0.00015407 to 6 decimal places. -0.000154 Round 0.0000138 to five dps. 0.00001 What is -661500 rounded to the nearest 100000? -700000 What is 0.0000000467 rounded to seven dps? 0 Round -4.34 to the nearest integer. -4 Round 229.46 to the nearest integer. 229 What is -0.000047495 rounded to five decimal places? -0.00005 What is -1522 rounded to the nearest 1000? -2000 Round 0.000005245 to 6 dps. 0.000005 What is -14426000 rounded to the nearest 1000000? -14000000 Round 2618 to the nearest 100. 2600 What is -0.0001288 rounded to 5 decimal places? -0.00013 Round 3235 to the nearest one hundred. 3200 Round -72.67 to the nearest 100. -100 Round -13763000 to the nearest 100000. -13800000 What is 44.0701 rounded to the nearest integer? 44 What is -578.75 rounded to zero dps? -579 What is 162700 rounded to the nearest ten thousand? 160000 Round 2.5445 to 2 decimal places. 2.54 Round -0.0040246 to 2 decimal places. 0 Round -1196700 to the nearest 100000. -1200000 Round 0.056 to 2 decimal places. 0.06 Round -6032 to the nearest 100. -6000 Round -1.165 to one decimal place. -1.2 What is -10117 rounded to the nearest 100? -10100 Round -0.0001968 to six decimal places. -0.000197 What is 0.0015355 rounded to 3 dps? 0.002 What is 110520 rounded to the nearest 1000? 111000 What is 0.009466 rounded to 4 dps? 0.0095 Round 0.027154 to 4 decimal places. 0.0272 Round -0.0000068883 to 7 dps. -0.0000069 Round -0.177 to 2 decimal places. -0.18 What is -12.9273 rounded to the nearest integer? -13 Round -604.08 to the nearest 10. -600 What is -342600 rounded to the nearest ten thousand? -340000 What is 94987 rounded to the nearest one thousand? 95000 What is 4373.94 rounded to the nearest 10? 4370 What is -0.00000241 rounded to 5 dps? 0 What is -0.0000050003 rounded to six decimal places? -0.000005 Round 4.209 to 0 decimal places. 4 What is 0.0003305 rounded to three decimal places? 0 Round -7500 to the nearest 100. -7500 Round 838000 to the nearest one million. 1000000 What is -0.00865 rounded to 4 decimal places? -0.0087 Round -68.7 to the nearest 10. -70 Round -44980 to the nearest one thousand. -45000 What is -6307000 rounded to the nearest 1000000? -6000000 What is 13.067 rounded to zero decimal places? 13 What is -3.731 rounded to 1 decimal place? -3.7 Round -0.002519 to 4 dps. -0.0025 Round 0.0000080187 to seven dps. 0.000008 Round 4962900 to the nearest 10000. 4960000 Round 8610 to the nearest one hundred. 8600 Round 31080 to the nearest ten thousand. 30000 What is 5260000 rounded to the nearest 1000000? 5000000 Round 0.00028385 to five decimal places. 0.00028 Round -0.0000012648 to 7 decimal places. -0.0000013 Round 7.295 to one dp. 7.3 Round 3047.7 to the nearest one hundred. 3000 What is 0.00202 rounded to 4 decimal places? 0.002 What is -0.91198 rounded to one decimal place? -0.9 What is 169.41 rounded to 0 dps? 169 Round -0.0000038428 to seven dps. -0.0000038 Round 1008.2 to the nearest one hundred. 1000 Round -2525 to the nearest one hundred. -2500 What is -40.31 rounded to zero dps? -40 What is -791700 rounded to the nearest 100000? -800000 Round -21.908 to one decimal place. -21.9 Round -131340 to the nearest one thousand. -131000 Round 41.97 to the nearest integer. 42 What is 17.901 rounded to zero dps? 18 What is 30.34 rounded to one decimal place? 30.3 Round 0.0000101329 to seven decimal places. 0.0000101 What is -6010 rounded to the nearest one hundred? -6000 What is 11.32 rounded to the nearest integer? 11 Round 144400000 to the nearest 1000000. 144000000 Round -0.000016661 to 7 dps. -0.0000167 Round 3399400 to the nearest 1000000. 3000000 Round 549042 to the nearest 1000. 549000 Round -1621.1 to the nearest 100. -1600 Round 0.108253 to two dps. 0.11 What is 22900 rounded to the nearest 1000? 23000 Round 68.58 to 0 dps. 69 Round 0.030481 to 3 dps. 0.03 What is -16700 rounded to the nearest ten thousand? -20000 Round 144100 to the nearest ten thousand. 140000 Round 11420000 to the nearest 1000000. 11000000 Round -0.009974 to 3 decimal places. -0.01 Round 14.765 to the nearest integer. 15 What is -0.0000000064 rounded to 6 dps? 0 Round 5326200 to the nearest 1000000. 5000000 Round -0.0021899 to three decimal places. -0.002 What is -3674.3 rounded to the nearest 100? -3700 What is 1.267 rounded to two dps? 1.27 What is 68.971 rounded to the nearest integer? 69 Round -0.0004025 to 5 decimal places. -0.0004 Round 518 to the nearest 100. 500 What is -4644.1 rounded to the nearest on
{ "pile_set_name": "DM Mathematics" }
t to -2/23? (a) -5 (b) -15 (c) -1 (d) 0.2 (e) 99 d What is the closest to -2 in 191, -3, 14? -3 What is the nearest to 1 in -7.848, 2, 14/5? 2 Which is the nearest to 0.17? (a) 3/4 (b) -2 (c) -0.1 (d) -2/3 (e) -1/4 c Which is the nearest to 0? (a) -1 (b) 29 (c) 6/31 c Which is the closest to -1? (a) -0.1 (b) 1 (c) 3.3 (d) 17/3 a What is the closest to -27/5 in -0.3, -72, 1/3, 9? -0.3 Which is the nearest to 0? (a) 0.3 (b) -7 (c) -5 (d) 0.0466 (e) -1 d What is the closest to 1 in 69, 1315, -5, 2? 2 Which is the closest to 35? (a) -1/3 (b) -21 (c) -11 (d) -10 (e) 2 e Which is the closest to 5? (a) -87 (b) -3 (c) 1/5 (d) -9 (e) -2 c Which is the nearest to -12? (a) -1/7 (b) 3 (c) -967 (d) -3 (e) -2 d What is the closest to 3 in -7, 0.0046, -3/5? 0.0046 What is the closest to -2618 in 0.51, 2/7, 2? 2/7 Which is the closest to -0.1? (a) -0.1 (b) 6/13 (c) 0.5 (d) -1.015 (e) -2 a Which is the closest to -9? (a) 4/11 (b) 0.2 (c) -2/13 (d) -145 c What is the nearest to -103 in -2/5, 2, -2, -1/3? -2 Which is the nearest to 3? (a) -2/209 (b) 1/2 (c) -13 (d) -2/9 (e) 0.1 b Which is the nearest to -0.11? (a) -0.3 (b) 20/131 (c) -1 a Which is the closest to 0? (a) 0.87 (b) -0.1 (c) 0.4 (d) -0.034 (e) 1/23 d What is the closest to 4 in 5, 1/2, -0.26, 0.088? 5 Which is the closest to 0.14? (a) 4 (b) 2/7 (c) 4/5 (d) -0.15 (e) 0.02 e Which is the closest to 1? (a) -0.068 (b) 1 (c) 0.2 (d) 0.046 (e) -0.4 b Which is the nearest to -1.8? (a) -8 (b) -1/5 (c) 1/4 b What is the closest to 1 in 1/3, -1/2, -2/23, -2, -5? 1/3 What is the nearest to 1 in 0.3, 0.4, 10/9, -4? 10/9 What is the closest to -2 in -1/5, -0.3, 7, -30? -0.3 Which is the closest to 2? (a) 1/4 (b) -1/7 (c) 0.4818 (d) 0.48 c Which is the nearest to -0.1? (a) 97/8 (b) 0.1 (c) -4 (d) 184 (e) 0.4 b Which is the nearest to -1/4? (a) -3/5 (b) 0.42416 (c) 1/2 a Which is the closest to -0.2? (a) -2206 (b) 0.048 (c) -3 (d) -2 (e) 2/3 b Which is the nearest to 7/8? (a) -2/15 (b) 32 (c) 0 c Which is the nearest to -2/19? (a) -5 (b) -3 (c) 2 (d) 2/7 (e) 0.1 e What is the closest to -3/7 in -1/2, 204, 0.3, 1/3, 4? -1/2 What is the nearest to 0.05 in -2/5, -0.5, -1/7, -8, 10? -1/7 What is the closest to 1/4 in -0.7, -0.15, -4, 1/4, -1.8? 1/4 Which is the closest to 1? (a) -3 (b) 0.3 (c) 574 (d) 4 (e) -1/6 b What is the nearest to 0.2 in -8, 2/51, -0.3, 1/13, 4? 1/13 Which is the closest to -2/11? (a) -0.03 (b) 0.5 (c) -0.5 (d) -0.082 d Which is the nearest to -4? (a) 5 (b) 3/10 (c) 4 (d) 4/1245 d Which is the nearest to -11? (a) -2/3 (b) -5 (c) -0.2 (d) 0.15 b What is the nearest to 0.4 in 3/2, 1/7, -257.1, -4? 1/7 Which is the nearest to -0.2? (a) -1/4 (b) -0.4 (c) 1 (d) 3.5 a What is the closest to -686 in -0.02, -1/6, 1/3, -2/5? -2/5 Which is the nearest to -0.3? (a) -0.3 (b) -0.2 (c) -0.032 (d) -115 a What is the nearest to -0.8928 in 0.3, 2, -4/7, 1/6? -4/7 Which is the closest to 0.02? (a) 7/6 (b) -1/6 (c) 5.08 b What is the nearest to -13 in -0.2, -0.17, 2, 3? -0.2 What is the closest to -1 in 5, 747/16, -4? -4 What is the nearest to -5.9135 in 1, 3/13, 0.2? 0.2 What is the nearest to -1/9 in -1, -2, -0.56? -0.56 Which is the nearest to 28/9? (a) -16 (b) 1/12 (c) 3 (d) 0.3 (e) -0.1 c Which is the closest to -2? (a) 1/3 (b) 41 (c) -5/163 c Which is the closest to -3/17? (a) 1 (b) -4 (c) -1/199 (d) 1/4 (e) 0.4 c Which is the nearest to -0.1987? (a) -33 (b) -4 (c) -5 b What is the closest to 4 in -1/10, 6/23, 4/7, 2? 2 Which is the nearest to 1100? (a) 2/13 (b) -0.3 (c) -2 a What is the nearest to -1 in -128/9, 5/2, -0.5, -1/7? -0.5 What is the nearest to 1 in 494, 2/5, 5, 3/7? 3/7 What is the closest to -1/11917 in -1, -3/2, 5? -1 Which is the nearest to 977? (a) -2/9 (b) -2/15 (c) 1/7 (d) 0.1 c What is the nearest to 5 in -44, 5, 3, 2/59? 5 Which is the nearest to 0.1? (a) -75 (b) 4 (c) -41 b What is the nearest to 1 in -3, -0.2, 9/4381? 9/4381 What is the nearest to 2/5 in -33/8, -5, -0.39, -2, -0.2? -0.2 What is the closest to 3 in -1/4, 5, -3/32, -98? 5 Which is the nearest to 0? (a) -0.3 (b) 72 (c) 0.6 (d) -1 (e) -4/5 a What is the nearest to -2/5 in -34/5, 6/55, 0.4, -1/4? -1/4 What is the nearest to 1 in -306, 4, -1? -1 What is the nearest to -1 in -4, 0, 2/45, -2/13, 3? -2/13 Which is the nearest to -1/5? (a) 18919 (b) -3 (c) 1 (d) -0.4 d What is the nearest to -0.2 in 4, 3, 4/5, -5, -38.4? 4/5 Which is the closest to 0? (a) 1/3 (b) 2214 (c) -2/3 a Which is the nearest to -0.13877? (a) 0.1 (b) -2/11 (c) 0.024 b Which is the closest to 0? (a) -2/7 (b) -1 (c) -779 (d) 1/4 d Which is the nearest to 0.1? (a) -0.19 (b) 4 (c) 3639 a Which is the closest to -1? (a) 0.01 (b) -0.4 (c) 2/9 (d) 1578 b What is the closest to 1/3 in -7, -5, -0.2, -2123, 10? -0.2 Which is the closest to -2? (a) 302 (b) -0.5 (c) 22/15 (d) 3 b Which is the nearest to 1? (a) 0 (b) 4/9 (c) -221 (d) 0.2 (e) -6 b Which is the nearest to 1/5511? (a) -62 (b) -2 (c) -0.5 c What is the nearest to -3 in 204, -20, 15? -20 Which is the closest to 1? (a) -5 (b) 10/9 (c) -12/11 (d) -7 b What is the nearest to -2 in -11, -94, 3/5, 0.3, 21? 0.3 Which is the nearest to 16? (a) 2 (b) 11.8 (c) 4 b What is the nearest to 0.037 in -15, -3/5, -1/8? -1/8 Which is the nearest to 0? (a) 101 (b) -3 (c) -0.11 (d) 2 (e) -1 c What is the nearest to -4 in -1, 2, -31, 17, -2? -2 Which is the closest to -2? (a) -0.17 (b) -3 (c) 0.5 (d) 2/347 (e) 13 b What is the nearest to -0.1 in 0, -4, -38, -0.6, -1? 0 Which is the closest to 0? (a) -7 (b) -5 (c) 25.2 b What is the nearest to 2/89 in 4, -1, 11, -27.9? -1 What is the nearest to 1/41 in 1, -6/49, 2/3? -6/49 What is the closest to -101 in 0.24, 0, 2/11, -24, -3/7? -24 What is the closest to -53 in -3, 0, 0.17? -3 Which is the closest to -5136? (a) 7 (b) 4 (c) 1 c Which is the nearest to 5? (a) 1/8 (b) 0.1 (c) 6/5 (d) 2/41 (e) 0.4 c What is the closest to -0.8 in 5, 1, 2/3, -1225? 2/3 What is the nearest to -2 in -1/6473, 0.1, 3/2, -0.063? -0.063 Which is the nearest to -5? (a) 1 (b) 2/9 (c) 1929 (d) 1/6 d Which is the nearest to 2? (a) 1/6 (b) 4 (c) 2/13 (d) 5 a Which is the closest to 4.9? (a) -1.2 (b) 7 (c) 2 (d) -2/11 b Which is the nearest to 11? (a) -2 (b) 0.05 (c) 13 (d) 0.06 c What is the nearest to 0.04418 in -2/13, 0.2, 31? 0.2 Which is the closest to -1? (a) -49.3 (b) -4 (c) 0.4 (d) 11 c What is the closest to -3 in 0.2, -287/2, -1/7? -1/7 Which is the closest to -1/3? (a) -1/8 (b) 330 (c) 6 (d) 2 (e) 2/9 a What is the closest to 0.4 in 44.2, 0.1, 4/29? 4/29 What is the nearest to 0 in 61.3, -3/2, -8.1? -3/2 What is the nearest to 4 in -3/14, -1/3, -2/3? -3/14 What is the closest to -1 in 1/43, 0, 1/3, 4, 3/50? 0 What is the closest to 42.3 in 5, -0.04, -0.1? 5 Which is the nearest to 0? (a) 3 (b) 0 (c) 1127 (d) -5 b Which is the closest to 2/17? (a) -0.03 (b) 1/6 (c) 1/4 (d) 26 b What is the closest to 0.1 in -6/7, 0.1, -880? 0.1 What is the nearest to 0.04 in -0.3, -1.8, 18, 0.01? 0.01 What is the closest to 1 in 2, -4, 21, -0.6, -0.3? 2 Which is the nearest to 0? (a) -2/7 (b) 779 (c) 4 (d) -2/17 (e) -0.07 e Which is the closest to -6? (a) 4/3 (b) -1/15 (c) -693 b What is the closest to 1/5 in 1/34254, -0.7, 5? 1/34254 Which is the closest to 4.8? (a) -0.2 (b) -0.1 (c) 136/9 (d) -5 (e) -1 b What is the nearest to 0.1 in 0.961, -0.3, -1/2, 7? -0.3 What is the nearest to 0.1 in -1/4, -8, 158, 0.2? 0.2 Which is the nearest to -14? (a) 5/2 (b) -10 (c) 1 (d) -2/7 b What is the closest to 292/13 in 2/11, 3, 8/7? 3 Which is the closest to -3? (a) 0 (b) 35 (c) -1112 a Which is the nearest to 0.2? (a) 3 (b) 2/3 (c) -9 (d) -3/7 (e) -105 b What is the nearest to -2/17 in 4, -5, -5705? 4 What is the nearest to 2/9 in 1.7, 7/4, -42, -5? 1.7 Which is the nearest to 0.2? (a) -0.16 (b) 53 (c) 72 (d) -0.4 a What is the closest to -517 in 2, -0.4, -1/12? -0.4 What is the nearest to -195 in -2/11, 4, 0.26, 3? -2/11 What is the closest to 8/5 in 1/3, 24, -29? 1/3 Which is the nearest to 0.2? (a) 7 (b) 0 (c) 280 b What is the closest to 1 i
{ "pile_set_name": "DM Mathematics" }
3*f + 3*s. Let j = f - u. Solve 0 = -j*p + 8 + 17 for p. 5 Let f = 52 - 52. Suppose -7*a + 28 = -f*a. Suppose 2*c + 5*m + a - 23 = 0, 59 = 5*c + m. Solve 3 = -3*r + c for r. 3 Let k = 49 - 47. Suppose d = -0*d - 4*v - 6, -48 = -4*d + k*v. Solve -2*l - 4 + d = 0 for l. 3 Suppose 0 = -2*z + 3*x + 13, 5*z - 2*x - x - 55 = 0. Solve -13 = i - z for i. 1 Suppose z + 5*b = 5, 0 = -z + 5*b - 0*b - 5. Suppose 3 = 2*k + 3*j, -3*k + 2*j = 3 - 1. Let c(t) = 188*t - 184. Let n be c(1). Solve k = -z*s + n*s + 4 for s. -1 Let t(g) = g**2 + 14*g - 51. Let w be t(-17). Suppose 3*x - 32*i + 27*i - 32 = w, -4 = -3*x - 2*i. Solve -38 = -x*f - 46 for f. -2 Let k(t) be the third derivative of t**5/20 + t**4/8 + 121*t**2. Let n be k(0). Solve -3*x + 4*x - 2*x = n for x. 0 Let y = -501 - -501. Suppose y = t + 76 - 77. Solve -4*p = 3 + t for p. -1 Suppose 3*t = -4*o + 117, 43*o - 44*o + 31 = -t. Solve -o*q + 102 = -47*q for q. -6 Let y = 12 - 8. Suppose -7*x - y*g + 108 = -3*x, 4*x = -5*g + 107. Let r = x + -23. Solve 0 = -3*k - 10 - r for k. -5 Let l(x) = -2*x**2 + 154*x - 36. Let v(h) = -h**2 + 51*h - 12. Let c(s) = 3*l(s) - 10*v(s). Let u be c(12). Solve u*m = 4*m - 8 for m. -1 Let u be (-7)/21*-70 + (-2)/(-3). Let a be (-16)/u*(2 - 11). Solve -2*n - a*n = -40 for n. 5 Let h be -1*5/5*75. Let i be 4/30 - 290/h. Let m(w) = -w**3 + 4*w**2 + 24*w - 16. Let k be m(7). Solve -k*l + 1 = -i for l. 1 Let b(g) = -g**3 + 10*g**2 + 2. Let t be b(10). Let i be 1/(t/(-30) + 26/65). Solve -5*k + 8 = i for k. 1 Suppose f + 26 = -4*x, -3*x + x = 2*f + 52. Let r be 106/689 - 126/f. Solve 5*l - r + 0 = 0 for l. 1 Let n be -14*(152/28 + -8). Let s be n/(-5)*10/(-45)*15. Solve 2*m + s = 18 for m. -3 Suppose 34*f + 9*f = 35*f + 16. Let t(k) = k**3 - 6*k**2 + 5*k. Let u be t(5). Solve -f*y + 13*y - 44 = u for y. 4 Let m = 6473 - 6462. Solve -2*p + m*p + 18 = 0 for p. -2 Let k be ((-24)/(-7))/((-7)/(49/(-2))) + 6. Solve k + 37 = -11*n for n. -5 Let f be 1491/142*6/9. Solve 19*i = 12*i - f for i. -1 Suppose -5*x - 3*l + 42 + 13 = 0, x + 4*l - 11 = 0. Let f be x/22 + (-7)/(-2). Suppose -f*d = -32 + 8. Solve -d*b + 7*b = -4 for b. -4 Let h(z) = -36*z + 822. Let w be h(22). Solve -16 = -w*t + 26*t for t. 4 Suppose 2*l - 2*w = -38 + 42, -5*l = -2*w - 7. Let g be (-20 - -19)*(-18 + l). Solve 21*q = g*q + 8 for q. 2 Let p(t) = t**3 - 11*t**2 + 10*t - 4. Let i be p(10). Let z be 3 + i + -1 - -4. Let c be 2 + 5/10*(2 - 0). Solve x - z = c for x. 5 Let j(u) = -u**3 - 4*u**2 + 7*u + 14. Let y(l) = 12*l - 5. Let r be y(0). Let i be j(r). Solve -i*o = -8 - 0 for o. 2 Suppose 37 - 71 = -c - 4*h, 4*c + 3*h - 58 = 0. Solve -c*k + 36 = 26*k for k. 1 Let g be (-2 - 15/20) + (-21)/(-28). Let u be (-1 - 1) + (g*28)/(-4). Solve 3 = -5*l - u for l. -3 Let b(f) = -f**3 + 26*f**2 + 3*f - 70. Let d be b(26). Let w(h) = 3*h**2 + h. Let v be w(2). Suppose d*o - 15*o + v = 0. Solve -4*g - 2 = -o*g for g. -1 Let s(v) = v**2 - 15*v + 50. Let p be s(3). Suppose 23 - 93 = -p*i. Solve i*h - 16 = h for h. 4 Let v = -2963 - -2966. Solve -13*i = -v*i for i. 0 Let v(u) = -5*u - 41. Let c be v(-9). Let q be 6/c*(13 - 9). Solve 2*w + 4 = -q for w. -5 Let u be -14 - -13 - -102 - 19. Solve u*o + 100 = 102*o for o. 5 Let y = 13626 + -13606. Solve 32*m - y*m = 0 for m. 0 Suppose -5*q + 5*j = -1285, -11646 + 11638 = -j. Solve -q + 375 = -22*f for f. -5 Let l be ((-1134)/(-45) - 0)*135/27. Solve -l*c - 8*c - 938 = 0 for c. -7 Let k(s) = s**2 - 4*s - 59. Let u be k(-6). Let v be (-28)/70*(u + -6). Solve 5*b + 18 = -v for b. -4 Suppose 413 = 3*z + 383. Solve -z*w = -13 + 43 for w. -3 Let w(n) = -n**2 - 11*n - 25. Let r(g) = -g**3 + 1. Let o be r(2). Let j be w(o). Solve h + 5 = j for h. -2 Let w be (0/4)/(3/3 - 3). Suppose n = m - 4*n - 35, 4*m + 3*n = 48. Solve -3*v + w = -m for v. 5 Let a = 205 - 182. Suppose o - 3*c - a = 0, 0 = o - c + 4*c + 7. Solve -28 = 10*t - o for t. -2 Let i(h) = 5*h**3 - 267*h**2 + 112*h + 351. Let r be i(53). Solve r*g + 32 = 653*g for g. -2 Suppose i + f = 0, -2*f + 6 = 3*i - f. Suppose -2*h + i*k = -3, -3*h + 4*h - 4*k - 4 = 0. Solve 0 = 2*q - h - 10 for q. 5 Suppose 2477 = 10*x - 3. Suppose -224 + x = 3*j. Solve 0 = -28*p + 24*p - j for p. -2 Let m(y) = -y**2 + 7*y + 3. Let i be m(7). Let p be -68 - ((-16)/(-10) + 4/10). Let v = p + 78. Solve j = -i*j + v for j. 2 Let q(u) be the first derivative of -1/2*u**2 + 0*u + u**4 + 0*u**3 + 20. Let o be q(1). Solve -5 = -o*v - 17 for v. -4 Let c = -168 + 172. Suppose -c = -v - 5*d, 0 = 5*v + 6*d - 4*d - 20. Solve 5 = v*f - 11 for f. 4 Let m(v) = v**3 - 11*v**2 - 2. Let i be m(11). Let j be (4 + -8 - -2)*4/i. Let s = 61 - 59. Solve s*y - j = -2 for y. 1 Suppose 54 = c - 37. Suppose -4*v + c = q, -v - 371 = -2*q - 3*q. Let s = q + -74. Solve 2*n + s - 7 = 0 for n. 3 Let d(n) = -2*n - 10. Let r be d(-7). Suppose q + 3*q - r = 0. Let x(s) = -s**2 + 84*s - 606. Let i be x(76). Solve -i*h - q = 1 for h. -1 Suppose 24 = 160*p - 159*p. Solve p*n - 185 = -13*n for n. 5 Let t be ((-63)/35)/(3/(-10)). Suppose -4*j - 550 = 6*j. Let i = j + 57. Solve -5*v + t = -i*v for v. 2 Let k(m) be the third derivative of m**6/120 - 3*m**5/20 + 3*m**4/4 - 13*m**3/6 + 5*m**2. Let q be k(8). Let n = 82 - q. Solve 3*l - 3 = -n for l. -4 Let r be (-2 + 3)/((-3)/15)*-2. Suppose -5*x = -5*d + 35, -2*d - 3*x = -4*d + r. Solve d = 6*i - 19 for i. 5 Suppose 324*z = -89 + 1709. Let d = 5 - 2. Suppose o - d*o = -2. Solve -4*y + z*y = -o for y. -1 Suppose 2*a = -0*a + 10. Let u = -20261 - -20281. Solve 10*s - u = a*s for s. 4 Suppose 109 - 109 = 9*t. Suppose -j + 5*z = 22, 5*j - 2*z - 9 + 4 = t. Solve -8 = j*g - 23 for g. 5 Suppose 2*f - 5*z - 147 = -2, -z - 5 = 0. Solve 65*m + f = 77*m for m. 5 Let a(z) = 2*z**2 + 2*z - 21. Let b be a(3). Solve b*u - 36 = -9*u for u. 3 Let f(w) = 34*w + 68. Let y be f(-2). Solve y = -6*x - 1 + 19 for x. 3 Let j(q) = q + 8. Let z be (-5)/(-10)*-6 + -3. Let c(i) = i + 8. Let h(d) = z*j(d) + 7*c(d). Let v be h(11). Solve 0 = 4*y - v + 7 for y. 3 Let a = -20 - -22. Suppose 3*v + 7 - 33 = -5*l, l - a*v = 0. Solve -l*m - m = 0 for m. 0 Let l(k) = k**2 + 25*k + 5. Let h be l(-18). Let i = 121 + h. Solve -4*u + 21 - 5 = i for u. 4 Suppose -31*y + 3110 - 909 = 0. Suppose -y*s - 28 = -75*s. Solve 2*p + s = 9*p for p. 1 Let g(l) = 3*l**3 - l**2 + 1. Let k be g(1). Suppose 105 = a + 14*a. Suppose -3*n = -3*r + 63, 2*r = -2*n + 33 - 11. Solve -a*s + k*s = -r for s. 4 Suppose -5*s + 0*p = p + 8, 0 = -5*s - 3*p - 14. Let k be 4 - (-1)/(s/(-9)). Solve 5*c + k = -2 for c. -3 Let v = 384 - 380. Suppose v*d + 10*d = 3*d. Solve 3*n + 3*n + 0*n = d for n. 0 Let q be (-7 - -11) + (-18 - -15)*(-29)/3. Solve 0 = -11*a + q*a + 110 for a. -5 Suppose f + 4*w - 77 = 0, 5*w - 87 + 62 = 0. Suppose -f + 27 = -15*n. Solve n*t = 10 - 8 for t. 1 Suppose 16 = 2*n + 2*m, -5*n + 9*n - 28 = -5*m. Suppose -n = -35*x + 23*x. Let b = 48 - 31. Solve 0 = 4*f - x + b for f. -4 Let i(v) = -169*v + 1188. Let b be i(7). Solve b*t + 218 = 213 for t. -1 Let y be 45/27*(0 - (-24)/10). Let x be (10 - (11 + y))*1*-1. Solve x*t = 5 + 10 for t. 3 Let g = -2708 - -2716. Solve -32*a = -28*a - g for a. 2 Let m(x) = -46*x**2 + 377*x + 9. Let l be m(8). Solve 8*z + l - 113 = 0 for z. 4 Suppose 3*h = -16*h + 361. Suppose -h*o + 59 - 2 = 0. Solve -o*t - 1 = 2 for t. -1 Let v(x) = 2*x**3 + 38*x**2 + 119*x - 15. Let r be v(-15). Let b = -2 - -8. Let t = b + -4. Solve 4 = -t*l - r for l. -2 Let o be 4 + 21 + (-12)/2. Suppose -o*p - 17 = -55. Solve -x - 3 = p for x. -5 Let p(d) = d**3 + 8*d**2 + 6*d - 2. Let j be p(-2). Suppose 4*n - 8*n = j*n. Solve n*q + 4 = -q for q. -4 Let r be (2592/(-21))/(-16) - ((-23)/7 + 3). Solve 32*s - r*s = 72 for s. 3 Let b(z) = -3*z**3 + 9*z**2 + 126*z + 8. Let j be b(8). Solve -2748*i = -2740*i + j for i. -7 Let b be (-117)/(-9) - 0/((-8)/2). Solve b*o - 16 = -3*o for o. 1 Let a = 5712 + -5666. Solve -a*q - 150 = 4*q for q. -3 Let q(z) = -z**3 - 4*z**2 - 10*z - 10. Let g be (2/3*1)/((-20)/60). Let s be q(g). Solve 13 = 3*o - s for o. 5 Suppose 14 = 4*z + 10. Suppose 0*b + b = -5*x - z, -3*b = -3*x - 15. Suppose -4*d = 3*s - 108, -7*d - 4*s = -3*d - 112. Solve -d = 4*k - b for k. -5 Let l be (-8 - -7)*0/2*(-1)/8. Solve -53*v + 83*v - 150 = l for v. 5 Suppose 118*v - 114*v = -4*z + 28, 5*v +
{ "pile_set_name": "DM Mathematics" }
625 Simplify -5*((2 + sqrt(300)*-1)**2 + sqrt(300) + -2) - 3*((sqrt(162)/(sqrt(24)/sqrt(4)) + sqrt(27))/(sqrt(324) + -2*sqrt(324)))**2. -1511 + 150*sqrt(3) Simplify -3 + -1*(-3 + (1*sqrt(720) - sqrt(720))**2) + 4 + -1. 3 Simplify (-3*(-1*(4*(sqrt(704) - 2*sqrt(704)) - (sqrt(704) + -1)*4) + -3)*2)**2. -32256*sqrt(11) + 1623780 Simplify -5 + (-4 + sqrt(162)*-1)**2 + -5*(sqrt(2) + 2)**2*3*-5. 372*sqrt(2) + 623 Simplify (3 + (-1 + 1*sqrt(567) - (5 + sqrt(567) + (sqrt(567) - (sqrt(567) + -1*sqrt(567))) + sqrt(567)))**2)*-3*-1*-6. -41526 - 3888*sqrt(7) Simplify (sqrt(1053) + 0 + 4 - ((sqrt(130)*-2)/sqrt(10) - (2*sqrt(78))/sqrt(6))) + (-2*(sqrt(1872) + -2*sqrt(1872)))**2 + ((-1 + sqrt(13))*-4 + -1)**2. -11*sqrt(13) + 7709 Simplify -5*(((-6*(4*sqrt(416) + sqrt(416)))/sqrt(8))/(sqrt(8)/(sqrt(2) - sqrt(10)/(sqrt(125) + sqrt(5) + sqrt(5)))))**2. -2106000/49 Simplify 1 + (0 + sqrt(567) + 3 + 1 + sqrt(567) + sqrt(567) + 5)**2 + 4 + (sqrt(567) + 0 + 3)*1. 495*sqrt(7) + 5192 Simplify ((sqrt(48)/sqrt(486))/(-3*sqrt(4)*-2*-3))**2*2. 1/6561 Simplify (5*(sqrt(66) + (sqrt(66) - -1*sqrt(66))) + (sqrt(66) + (-1*sqrt(66) + sqrt(66) - sqrt(66)))*-3)/(sqrt(60)/sqrt(490) + sqrt(2058)/sqrt(7)). 21*sqrt(11)/10 Simplify -4*(-4 + (-3*-4*sqrt(396)*1*3*-5)**2). -51321584 Simplify (((sqrt(1344) + sqrt(1344)*2 + sqrt(1344) - sqrt(1344))*-6 + sqrt(1344) + sqrt(1344))*-4)/(1*(sqrt(300) + 2*-3*sqrt(300))). -256*sqrt(7)/25 Simplify ((sqrt(510) - -2*(sqrt(510) - (sqrt(510) + -2*sqrt(510))))/(sqrt(100)/(sqrt(30)/sqrt(3))))/(-3*sqrt(108)*1 - sqrt(108)). -5*sqrt(17)/24 Simplify 4*((1 + sqrt(605)*1 - (sqrt(605) - (-2*sqrt(605) - sqrt(605))*3))**2 - ((1*sqrt(605)*-5 - 2*1*sqrt(605))*-2)**2). -278296 - 792*sqrt(5) Simplify sqrt(152)/(1*(sqrt(32) - sqrt(8))) + 0 + (sqrt(76)/sqrt(4))**2 + -5 - (-1*-2*sqrt(1539) + 3 + 1). -17*sqrt(19) + 10 Simplify 5 + ((-1*2*(sqrt(200) + (sqrt(200) - (0 + sqrt(200)) - sqrt(200)) + -3))**2 - (2*(sqrt(200) - (4 + 1 + sqrt(200) + sqrt(200)))*-5)**2). -22459 - 10000*sqrt(2) Simplify (3*(sqrt(136) + sqrt(136) + 2*sqrt(136)*-5 + sqrt(136) - (-1*sqrt(136) - sqrt(136))*-4))/(sqrt(8) + 1*sqrt(1152) + (sqrt(8) - sqrt(8)*-3*4)). -45*sqrt(17)/26 Simplify -5*(sqrt(175) + -1*(sqrt(175) + 3) + sqrt(175)*3*-1 + 4)**2. -7880 + 150*sqrt(7) Simplify ((sqrt(300) + 2*(sqrt(300) + sqrt(300)*2))/sqrt(6))/(sqrt(40)/(-1*sqrt(400))). -70*sqrt(5) Simplify (5*4*1*sqrt(396) + -2)**2 - (-2 + (sqrt(22)/(-1*sqrt(2)))**2 + -1 + 3). -480*sqrt(11) + 158393 Simplify 4*((sqrt(170)*-3)/sqrt(10) - (sqrt(17) + -2)*6) - (3*sqrt(204)*-2)/(-6*sqrt(48)/sqrt(4)). -37*sqrt(17) + 48 Simplify -2*-4*(2*sqrt(95)*1*3)/(((-1*sqrt(55))/sqrt(11) + sqrt(5) - sqrt(5))*-1). 48*sqrt(19) Simplify ((sqrt(1980) - -1*sqrt(1980))/sqrt(11)*4)**2 - ((sqrt(20)/(3*sqrt(4)))**2 + (sqrt(5) - (2 + sqrt(10)/sqrt(2)))). 103693/9 Simplify (-3*(-1 + sqrt(200) - sqrt(200)) + -5 + -2 + (sqrt(200) - (sqrt(200) - (sqrt(200)*-1 + sqrt(200))))*2 + 5 + -1)**2. 0 Simplify (2*(-2*sqrt(2450)*-2 - sqrt(2450)))/((sqrt(10) + 4*-2*sqrt(10))*5*-3) + -2. -2 + 2*sqrt(5)/5 Simplify (4*(sqrt(13) + -1) - -2*sqrt(13)*1)**2 - (1 + (sqrt(78)/sqrt(2) + sqrt(39))/sqrt(3)*-2)**2. -40*sqrt(13) + 275 Simplify (sqrt(63)/(sqrt(1296)/sqrt(4)) + -1 + -4*(3*sqrt(77)*6)/sqrt(11))**2. 431*sqrt(7)/3 + 1300363/36 Simplify 5*(-1 + -5 + ((2*sqrt(153) - sqrt(153))/sqrt(9) - ((1*sqrt(17))**2 - sqrt(17))*-6)*-5 + 0) + -5. -2585 + 125*sqrt(17) Simplify 2*(6*(1 + sqrt(128) + -1 + sqrt(128) + 1 + -5 + sqrt(128) + 0))**2*-1. -84096 + 13824*sqrt(2) Simplify (5 + 6*(-4*(1*sqrt(3993) + sqrt(3993)))/(sqrt(243) + (sqrt(243) - (sqrt(243)*2 + sqrt(243))) - -1*(sqrt(3) + 2*sqrt(3))))**2. 880*sqrt(11) + 85209 Simplify (sqrt(308)/(sqrt(7) + (sqrt(343) - (sqrt(343) + -2*sqrt(343))))*-6)/((sqrt(4) - sqrt(4)*1)*-5 + sqrt(256)*-2 + sqrt(256))*6. 3*sqrt(11)/10 Simplify -1 + sqrt(21)/(sqrt(9)/(sqrt(3) - sqrt(48))) + 2 + (sqrt(84) + -1*2*sqrt(84) + sqrt(84) + sqrt(84))/(sqrt(1452)*-2 - sqrt(12)) + -1. -70*sqrt(7)/23 Simplify 1 + (4*sqrt(63)/(sqrt(9)/sqrt(3))*-6)/(-6*(sqrt(112) + sqrt(112) + sqrt(112)*-1)*-4). -sqrt(3)/4 + 1 Simplify ((-2*sqrt(171) - sqrt(171))*-3 + sqrt(171) + (sqrt(171)*2 - sqrt(171))*3)/((-5*-2*sqrt(81) - sqrt(81))/(-2*sqrt(36)/sqrt(4))). -26*sqrt(19)/9 Simplify (3*-5*(sqrt(405) + sqrt(405)*-1)*-2 + (0 + (4*(-1 + sqrt(500)) - sqrt(500) - sqrt(500)))*-3)**2. -1440*sqrt(5) + 18144 Simplify ((((2 + sqrt(847))*4 + -1)*-4)**2 - (-5*sqrt(847)*-1 + -1 + 1)) + 0. 9801*sqrt(7) + 217616 Simplify ((-1*(sqrt(3) + 1)*5)**2 + -3 - -6*-6*(((sqrt(363) - (0 + sqrt(363)))**2 - sqrt(363)) + sqrt(363)))*-2. -194 - 100*sqrt(3) Simplify 2 + ((sqrt(152) + sqrt(152) + (sqrt(152) - (sqrt(152)*-3*-1 + sqrt(152) + sqrt(152))))/sqrt(4))/(sqrt(400)/sqrt(32)). -4*sqrt(19)/5 + 2 Simplify ((-2 + (sqrt(22)/sqrt(11) + sqrt(2) + -2 - sqrt(32)) + -2 + 5)*4 + 3)**2. 16*sqrt(2) + 129 Simplify 6*(((-6*(sqrt(392) - (1 + sqrt(392))) - ((sqrt(392) - (-1 + -1*sqrt(392) - sqrt(392))) + sqrt(392)))*-2)**2 + 3 + -3). -13440*sqrt(2) + 151128 Simplify -5*(sqrt(50)/(sqrt(10)*1) - (sqrt(125) + 1) - (-5*(sqrt(120)/(-2*sqrt(8)))/sqrt(3))**2)*-5. -3225/4 - 100*sqrt(5) Simplify 1*(sqrt(121)*3*-2)/(sqrt(11) + (sqrt(11) - (sqrt(11) + sqrt(33)/(sqrt(3) - sqrt(27)))))*-1 + -2. -2 + 4*sqrt(11) Simplify (3 + (sqrt(98)*3 - sqrt(98)) + -4)**2 - ((sqrt(160) - (sqrt(160) + sqrt(160) + -2*sqrt(160) - sqrt(160)))/sqrt(5) + -3). -36*sqrt(2) + 396 Simplify ((5*sqrt(567) + sqrt(441)/(-3*sqrt(7) + sqrt(7) - sqrt(7)))/((sqrt(180)/sqrt(10) - sqrt(18))/sqrt(2) - -5*(sqrt(9)*3 + sqrt(9))))**2. 847/225 Simplify (-3 + -2*(sqrt(72) + -2)**2 - ((2 + sqrt(72) + sqrt(72))*-3 + (sqrt(72) - 3*(sqrt(72)*-1 - sqrt(72))))**2)*3. -789 + 360*sqrt(2) Simplify (sqrt(432) + -1*sqrt(432)*-6 + -3*(sqrt(432) + 1 + sqrt(432)))**2 + (-2*sqrt(432)*-3 + sqrt(432) + sqrt(432)*2 + -2)**2. -504*sqrt(3) + 35437 Simplify (3*(5 + 4*(0 + sqrt(1700) + -1) + 5)*2*5)**2. 432000*sqrt(17) + 24512400 Simplify ((sqrt(90)/sqrt(6) - sqrt(15))*2 + -1*sqrt(15)*4)/(sqrt(40)/(sqrt(392) - sqrt(8)) + (sqrt(245) - -2*sqrt(245) - sqrt(245))). -24*sqrt(3)/85 Simplify (-2*(0 + sqrt(252))*-6*6*4*-4)**2. 334430208 Simplify -2*(((sqrt(176) - -5*sqrt(176)*-1) + sqrt(176))*-4 + 2 + (-3 + sqrt(176) + -3 - 5*(sqrt(176) - (sqrt(176) + (sqrt(176) + 3 - sqrt(176))))))**2. -59730 - 2288*sqrt(11) Simplify (3*(sqrt(425) - (0 + sqrt(425)) - sqrt(425))*-6 - ((5*(sqrt(51) - sqrt(459)))/(-2*sqrt(108) - sqrt(108) - sqrt(108)))**2)*4. -425/36 + 360*sqrt(17) Simplify ((sqrt(7) + 3)*5 + -1*sqrt(1008))*-5 + 2*((sqrt(7)*-2)**2 + -3) + ((sqrt(112) + 0 - sqrt(112)) + -1)**2. -24 + 35*sqrt(7) Simplify ((-2*(sqrt(2057) + 0) + 0 + -4*sqrt(2057))**2 + -4 + -1)*1. 74047 Simplify (1*(sqrt(400) + (sqrt(400)*2 - sqrt(400) - sqrt(400)) + sqrt(400) + sqrt(400))*1)/(-1*2*sqrt(128)*-1). 15*sqrt(2)/8 Simplify (sqrt(300) + ((-1 + sqrt(300))*1)**2 - 2*(1 + sqrt(300)) - (sqrt(300) + -4*1*sqrt(300))*2) + -4. 30*sqrt(3) + 295 Simplify (2*sqrt(200) + 4 + (sqrt(200) - (sqrt(200) + 0)) + -5)**2 - 4*(sqrt(8) - -2*sqrt(512))/(sqrt(28)/(sqrt(7) - sqrt(28) - sqrt(7))). 96*sqrt(2) + 801 Simplify (sqrt(7)*4 + -5 + -5 + sqrt(7) + sqrt(63))**2 + (-3*sqrt(686))/sqrt(2)*-4. -76*sqrt(7) + 548 Simplify ((1*sqrt(416) - sqrt(416)) + (sqrt(26) - sqrt(312)/(sqrt(12)*1)))/((sqrt(288) - (sqrt(288)*2*-4 + sqrt(288))) + sqrt(288) + sqrt(288))*4 + -4. -4 Simplify ((sqrt(96)/sqrt(2))/sqrt(4) - (sqrt(54)/(sqrt(6)*-1))/sqrt(3)) + 5 + 1. 3*sqrt(3) + 6 Simplify (-6*sqrt(81)*-2)/(6*3*sqrt(432)). sqrt(3)/6 Simplify 4 + ((sqrt(136) - sqrt(136)*1*1) + 2*sqrt(136)*3)/(4*(1*sqrt(128) + sqrt(128) + sqrt(128))*-3). -sqrt(17)/24 + 4 Simplify (((sqrt(100)*-2)/sqrt(4))/(1*(sqrt(5) - sqrt(20)/sqrt(4)) - sqrt(5)) - (2*(-5 + sqrt(20)/sqrt(4)*-5))**2)*6. -3600 - 1188*sqrt(5) Simplify (-2*(sqrt(1584) + -1 + sqrt(1584)) - (0 + (sqrt(1584) - sqrt(1584)*3)))**2 + (sqrt(66)*-3*-2)/(-3*sqrt(6)*-2). -95*sqrt(11) + 6340 Simplify ((sqrt(4455)*-4 - sqrt(55))*-4)/((sqrt(120)/sqrt(3)*-5)/sqrt(8)). -148*sqrt(11)/5 Simplify (6*(sqrt(567) + sqrt(567)*2 - sqrt(567)) + sqrt(567)*1 + 3)**2 - (sqrt(35) - (sqrt(350) - sqrt(350)*1)/sqrt(10))/(sqrt(25)/sqrt(80)). 698*sqrt(7) + 95832 Simplify (3 + 5*-1*4*((sqrt(112) + 0 + sqrt(112))*1 - -3*(-1*sqrt(112) + sqrt(112)))*-5)**2. 4800*sqrt(7) + 44800
{ "pile_set_name": "DM Mathematics" }
sxwc when four letters picked without replacement from sacwsswwxzwsszw. 5/6552 Calculate prob of sequence ssf when three letters picked without replacement from uuhushfuhusf. 1/330 Four letters picked without replacement from {w: 6, y: 2, q: 1, p: 3}. What is prob of sequence yypp? 1/990 What is prob of sequence yaa when three letters picked without replacement from {a: 2, y: 1, e: 1, w: 10}? 1/1092 Three letters picked without replacement from nznnbznzzn. Give prob of sequence znn. 1/9 Four letters picked without replacement from {a: 1, l: 1, r: 8, u: 4, c: 2}. What is prob of sequence ruur? 1/65 What is prob of sequence nl when two letters picked without replacement from {n: 1, l: 5, j: 7, f: 1}? 5/182 What is prob of sequence tmm when three letters picked without replacement from {t: 5, m: 2}? 1/21 Three letters picked without replacement from {v: 5, f: 2, y: 1, b: 1, u: 1}. Give prob of sequence ffy. 1/360 Two letters picked without replacement from {s: 1, b: 4, l: 4, v: 1, y: 1}. What is prob of sequence bv? 2/55 Two letters picked without replacement from qzanzfneq. What is prob of sequence ze? 1/36 Calculate prob of sequence uu when two letters picked without replacement from vvguwmu. 1/21 Four letters picked without replacement from {b: 5, j: 1, t: 1, c: 2, r: 1}. Give prob of sequence brcb. 1/126 What is prob of sequence aaxa when four letters picked without replacement from {a: 3, x: 4}? 1/35 Four letters picked without replacement from vnyuuylvvuc. What is prob of sequence lyuc? 1/1320 Three letters picked without replacement from {w: 2, i: 1, j: 2, k: 1}. Give prob of sequence wiw. 1/60 Two letters picked without replacement from hzhfzbhhzhzhfhabf. What is prob of sequence hh? 21/136 Calculate prob of sequence mymy when four letters picked without replacement from {q: 6, m: 10, y: 2}. 1/408 Four letters picked without replacement from {k: 1, z: 3, d: 4, a: 2, g: 1}. What is prob of sequence kzag? 1/1320 Four letters picked without replacement from zddddpdpdpdpdzzd. Give prob of sequence pzdp. 27/3640 What is prob of sequence ndd when three letters picked without replacement from ndndddnndnddnnnn? 9/80 Three letters picked without replacement from xbjjsxxxjbxxsxxb. Give prob of sequence sxx. 1/30 Two letters picked without replacement from cucxcxcxcccxcxxxx. Give prob of sequence xu. 1/34 What is prob of sequence ovko when four letters picked without replacement from {y: 4, s: 2, o: 2, k: 4, x: 1, v: 1}? 1/3003 Three letters picked without replacement from {t: 2, v: 2, p: 7}. Give prob of sequence tvt. 2/495 What is prob of sequence vv when two letters picked without replacement from {r: 7, t: 2, v: 8, u: 2}? 28/171 Three letters picked without replacement from uuvuuvnhquvvnquq. Give prob of sequence qqv. 1/140 Calculate prob of sequence mtt when three letters picked without replacement from ttmehqqettqtet. 5/364 Three letters picked without replacement from {v: 4, y: 2, m: 6, w: 2, d: 3, u: 1}. Give prob of sequence mmy. 5/408 Calculate prob of sequence yyc when three letters picked without replacement from ysszyusicyi. 1/165 Calculate prob of sequence jzzc when four letters picked without replacement from {c: 1, j: 2, z: 2}. 1/30 Calculate prob of sequence pbj when three letters picked without replacement from jbbbbbjpbpbjj. 14/429 Two letters picked without replacement from {s: 8, g: 1, j: 1, w: 1, e: 1}. Give prob of sequence sg. 2/33 Calculate prob of sequence gg when two letters picked without replacement from {g: 2, x: 1, a: 1, z: 2, k: 1}. 1/21 What is prob of sequence mpw when three letters picked without replacement from {w: 3, a: 1, m: 1, p: 2}? 1/35 Three letters picked without replacement from {e: 3, l: 2, x: 1, c: 3, j: 1, v: 3}. What is prob of sequence clx? 1/286 Calculate prob of sequence dddy when four letters picked without replacement from dddddddydydddddddddd. 8/95 Two letters picked without replacement from lllllhhhlh. What is prob of sequence hh? 2/15 Four letters picked without replacement from {h: 5, p: 3}. Give prob of sequence phph. 1/14 Three letters picked without replacement from mmbmmbmm. Give prob of sequence mbm. 5/28 Calculate prob of sequence sh when two letters picked without replacement from sshsshsssssshs. 33/182 What is prob of sequence reqo when four letters picked without replacement from nerenqeieoqne? 1/1716 Four letters picked without replacement from {q: 3, v: 10, j: 1, r: 1}. Give prob of sequence jrqq. 1/5460 What is prob of sequence ro when two letters picked without replacement from {o: 1, r: 2}? 1/3 Calculate prob of sequence mm when two letters picked without replacement from jmmrrrpmmyjmjjq. 2/21 Calculate prob of sequence ya when two letters picked without replacement from xay. 1/6 Three letters picked without replacement from wwwpeeypvweewy. What is prob of sequence ewv? 5/546 Two letters picked without replacement from {s: 1, j: 2, k: 2, m: 1}. Give prob of sequence ks. 1/15 What is prob of sequence kgg when three letters picked without replacement from kkkgkggkkkk? 8/165 What is prob of sequence rmu when three letters picked without replacement from rronuoomon? 1/360 What is prob of sequence fb when two letters picked without replacement from bgffafgbllaaalbaba? 2/51 Calculate prob of sequence zxqx when four letters picked without replacement from qxsxzz. 1/90 Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqkqqkqk. 21/55 Calculate prob of sequence yes when three letters picked without replacement from szdeezsdysseeezee. 7/1020 Two letters picked without replacement from zyzzzyzzyzooy. Give prob of sequence oz. 7/78 Three letters picked without replacement from {h: 2, w: 1, j: 4, a: 2, k: 1}. Give prob of sequence jhj. 1/30 What is prob of sequence gg when two letters picked without replacement from ggggdjdjj? 1/6 What is prob of sequence tbb when three letters picked without replacement from bbbtbbbb? 1/8 Two letters picked without replacement from {m: 1, s: 1, o: 1, y: 1, l: 1}. What is prob of sequence ym? 1/20 Two letters picked without replacement from bssbibbbsbbsibsb. What is prob of sequence bb? 3/10 Two letters picked without replacement from uadmaauuddauadu. What is prob of sequence aa? 2/21 Two letters picked without replacement from {w: 1, f: 8, h: 1, d: 1, b: 8}. What is prob of sequence fh? 4/171 Four letters picked without replacement from zjzijjajzzi. What is prob of sequence zizz? 1/165 Calculate prob of sequence jslj when four letters picked without replacement from {s: 2, j: 2, y: 3, l: 2}. 1/378 Calculate prob of sequence wduu when four letters picked without replacement from {u: 3, i: 2, d: 1, w: 1}. 1/140 Three letters picked without replacement from {a: 2, f: 1, o: 1, i: 2, x: 4}. What is prob of sequence xao? 1/90 What is prob of sequence ggg when three letters picked without replacement from {g: 3, l: 3}? 1/20 Calculate prob of sequence wmr when three letters picked without replacement from {m: 1, r: 1, w: 1}. 1/6 Two letters picked without replacement from uuvvavvavunvunuf. Give prob of sequence fa. 1/120 Four letters picked without replacement from {g: 4, t: 1, q: 3}. What is prob of sequence tqgg? 3/140 Two letters picked without replacement from {t: 1, o: 2, p: 1, l: 2}. What is prob of sequence tp? 1/30 Three letters picked without replacement from {p: 1, z: 7, o: 12}. Give prob of sequence zoz. 7/95 Two letters picked without replacement from {x: 3, m: 9}. What is prob of sequence mm? 6/11 Three letters picked without replacement from qtayt. What is prob of sequence tyq? 1/30 Calculate prob of sequence za when two letters picked without replacement from {a: 9, w: 2, i: 1, y: 1, z: 4}. 9/68 Three letters picked without replacement from yyweyee. What is prob of sequence eey? 3/35 Calculate prob of sequence gj when two letters picked without replacement from {j: 11, g: 1}. 1/12 Two letters picked without replacement from mgrkgcm. What is prob of sequence rc? 1/42 Three letters picked without replacement from opncwwan. Give prob of sequence pwn. 1/84 Three letters picked without replacement from dffddxdxrdpd. What is prob of sequence fdd? 1/22 Four letters picked without replacement from aggggggaggggga. Wha
{ "pile_set_name": "DM Mathematics" }
1897 Sort -2, 4, 5, 28, 27 in descending order. 28, 27, 5, 4, -2 Put -10, -4, 143, -12, 0 in descending order. 143, 0, -4, -10, -12 Sort 71, 4, -2/11. -2/11, 4, 71 Put 11, -19, 5, 10, -31 in ascending order. -31, -19, 5, 10, 11 Sort 2/11, -438, -0.2, -0.3, 13. -438, -0.3, -0.2, 2/11, 13 Sort 4/9, 3, 25, -79, 2/3. -79, 4/9, 2/3, 3, 25 Sort -1, -4, -14, 12 in decreasing order. 12, -1, -4, -14 Put -0.2, 0.1, -0.5, 0.06, 1/49, 2 in ascending order. -0.5, -0.2, 1/49, 0.06, 0.1, 2 Put 1/10, -4/33, -2, -1/5 in decreasing order. 1/10, -4/33, -1/5, -2 Put -4, 18, 455, -5 in descending order. 455, 18, -4, -5 Sort 2.06, -2/349, 0.1, 2/3, -2/11 in increasing order. -2/11, -2/349, 0.1, 2/3, 2.06 Put 3, -2, -10434, 1 in increasing order. -10434, -2, 1, 3 Sort -3, 4, 29, 211, 5, 3. -3, 3, 4, 5, 29, 211 Put -6, -48, -37 in decreasing order. -6, -37, -48 Sort 2, -2/7, 2/11, -9/5. -9/5, -2/7, 2/11, 2 Sort -1693, -12, -3 in descending order. -3, -12, -1693 Put 28.5, 3, -2, 89 in ascending order. -2, 3, 28.5, 89 Put 2049, 1/2, -5, -0.3, 0.1 in decreasing order. 2049, 1/2, 0.1, -0.3, -5 Put -0.3, 2301, 5, 1 in descending order. 2301, 5, 1, -0.3 Sort 19, 4, -2, 5, 7 in decreasing order. 19, 7, 5, 4, -2 Put -17, -3, -6, 2, 1 in descending order. 2, 1, -3, -6, -17 Sort 90, -2, 13, 62 in decreasing order. 90, 62, 13, -2 Sort 31, -4, -372 in descending order. 31, -4, -372 Sort -4, 4, -7, -55342 in ascending order. -55342, -7, -4, 4 Put 0, -67920, -5 in ascending order. -67920, -5, 0 Sort -5, -785, 11, -2 in descending order. 11, -2, -5, -785 Put -35, 2598, 2, 7, -4 in decreasing order. 2598, 7, 2, -4, -35 Sort 504, 5, 4/3, 45 in descending order. 504, 45, 5, 4/3 Sort 2, -2748, 3, 19, -2, -5 in decreasing order. 19, 3, 2, -2, -5, -2748 Sort -0.1, 0.5, 0, 9 in descending order. 9, 0.5, 0, -0.1 Sort 18, -320, 1 in decreasing order. 18, 1, -320 Put 16.4558, 0.5, 2, -1/5, 3 in descending order. 16.4558, 3, 2, 0.5, -1/5 Sort -6, 3/481, 1 in decreasing order. 1, 3/481, -6 Sort -5, 296/5, 5/7, 5, -1, 2/7 in descending order. 296/5, 5, 5/7, 2/7, -1, -5 Sort 4, 2, -11, 0.3, -2 in decreasing order. 4, 2, 0.3, -2, -11 Put -4, 12, 585 in ascending order. -4, 12, 585 Sort -0.151, 2/13, -7, 3, 1, 2 in descending order. 3, 2, 1, 2/13, -0.151, -7 Put 6, -6/7, 1, 0.4, -15/4, 6/5 in ascending order. -15/4, -6/7, 0.4, 1, 6/5, 6 Sort -3, 5, -6, -22567, -5 in decreasing order. 5, -3, -5, -6, -22567 Sort 0, -76, 5, 41 in descending order. 41, 5, 0, -76 Sort 25, 0.19, -0.14. -0.14, 0.19, 25 Sort -6, -58/7, -0.2, -28. -28, -58/7, -6, -0.2 Sort 19, -1, 0, 14 in decreasing order. 19, 14, 0, -1 Put 0.2, 3, -5, -50, -593/3, 2 in descending order. 3, 2, 0.2, -5, -50, -593/3 Sort -5, 0, 5, 9, 1 in decreasing order. 9, 5, 1, 0, -5 Sort -62, -12, 0, 16 in descending order. 16, 0, -12, -62 Sort 5, 2, 4, -5, 3, 44 in decreasing order. 44, 5, 4, 3, 2, -5 Put 1, 2, 206, 3 in descending order. 206, 3, 2, 1 Put 3, 510, 7, 24 in descending order. 510, 24, 7, 3 Put 0, 52, 188, -3, -5 in descending order. 188, 52, 0, -3, -5 Sort -5, 147, 5/3 in decreasing order. 147, 5/3, -5 Sort -2, 15960, 40 in descending order. 15960, 40, -2 Put 2657, -0.06, 1, -5 in ascending order. -5, -0.06, 1, 2657 Put -1, -3, 26097, 4 in descending order. 26097, 4, -1, -3 Sort 0.4, -3, 89, 470, -2/3 in descending order. 470, 89, 0.4, -2/3, -3 Sort -1, -5161, 2/17 in decreasing order. 2/17, -1, -5161 Put -5, 19, 3, -2, 5, -39 in descending order. 19, 5, 3, -2, -5, -39 Put 2, 1, 4, 2698, -1 in descending order. 2698, 4, 2, 1, -1 Sort 0.5, -6, -10, -1/49, -1 in decreasing order. 0.5, -1/49, -1, -6, -10 Sort 9, 4/5, -0.004, 4 in decreasing order. 9, 4, 4/5, -0.004 Put -3, -4, 55, -1, -2000 in decreasing order. 55, -1, -3, -4, -2000 Sort -5, -2/2309, -6, 4 in increasing order. -6, -5, -2/2309, 4 Put -28, 0, -2, 34, -5 in increasing order. -28, -5, -2, 0, 34 Sort -4, 14, -2, -9, 35 in increasing order. -9, -4, -2, 14, 35 Put -4, 11980, -1, 2, 4 in descending order. 11980, 4, 2, -1, -4 Put 1, -2, 4, -622, -3 in decreasing order. 4, 1, -2, -3, -622 Put 1/3, -5, -1, -2/13, -0.01, 2 in ascending order. -5, -1, -2/13, -0.01, 1/3, 2 Put -2, 2/13, 344.0396 in decreasing order. 344.0396, 2/13, -2 Put -3/4, 3/2, 3.1, 5, 4 in ascending order. -3/4, 3/2, 3.1, 4, 5 Put -12/5, 0.3, -281, 0.5 in decreasing order. 0.5, 0.3, -12/5, -281 Sort -3, 18, 22/7, 49 in descending order. 49, 18, 22/7, -3 Sort -0.2, -2, -10/3, 23/25, 8 in decreasing order. 8, 23/25, -0.2, -2, -10/3 Sort -0.7, -1, -9, -64 in ascending order. -64, -9, -1, -0.7 Put -5, 17, 692, 1 in ascending order. -5, 1, 17, 692 Put -1/4, -320, 2/729 in decreasing order. 2/729, -1/4, -320 Sort -4, 2, 6, -3/7, -3 in ascending order. -4, -3, -3/7, 2, 6 Put -4, -22, 28, 13 in increasing order. -22, -4, 13, 28 Sort -4, -692, 4, -29, -2 in decreasing order. 4, -2, -4, -29, -692 Put -117, -107, -1/4 in increasing order. -117, -107, -1/4 Sort 5, -1, 11 in ascending order. -1, 5, 11 Sort 7, -3, -0.4, -1/9, -3/5, 0.1 in descending order. 7, 0.1, -1/9, -0.4, -3/5, -3 Sort 3, 58, 1, -112. -112, 1, 3, 58 Put 375, -0.3, 104 in increasing order. -0.3, 104, 375 Sort 3, -2, 61, -5 in decreasing order. 61, 3, -2, -5 Sort 2, -0.06889, 5 in ascending order. -0.06889, 2, 5 Put -1/4, -0.5, 16/3, 419, 2, -5/4 in decreasing order. 419, 16/3, 2, -1/4, -0.5, -5/4 Sort 10, -3, 8446, -1, -5. -5, -3, -1, 10, 8446 Sort 1, 4, -2141, 5, -1 in ascending order. -2141, -1, 1, 4, 5 Put -0.111, 3, 0.738, -2/5 in ascending order. -2/5, -0.111, 0.738, 3 Put -3, 83509, 3 in descending order. 83509, 3, -3 Put -50, 53, 0.09 in descending order. 53, 0.09, -50 Put -98, 41, 6, -4, -2 in descending order. 41, 6, -2, -4, -98 Put -2/3, -2897, -4, -3/7, -6 in ascending order. -2897, -6, -4, -2/3, -3/7 Sort -3, 3766, -5, 5, 0. -5, -3, 0, 5, 3766 Sort -0.5, 543, 1/6 in ascending order. -0.5, 1/6, 543 Put -15, -0.31, -8, 3, 1, 0.4 in decreasing order. 3, 1, 0.4, -0.31, -8, -15 Put 4, 1595, 1, 2, 5, 14 in ascending order. 1, 2, 4, 5, 14, 1595 Put 5, 37, 330, 0 in descending order. 330, 37, 5, 0 Sort 203, 5, -4, 491 in increasing order. -4, 5, 203, 491 Put -2.17, 0.4, -1.3 in descending order. 0.4, -1.3, -2.17 Sort -3, -856, 2, -5, 10 in descending order. 10, 2, -3, -5, -856 Put 5/2, 2/15, 282096 in ascending order. 2/15, 5/2, 282096 Sort 47, -1/9, 76.9, 0.4, -1, 0. -1, -1/9, 0, 0.4, 47, 76.9 Sort 3, 0, -2, 1856, 17. -2, 0, 3, 17, 1856 Sort 70, -6, -4, -28, -2, -1. -28, -6, -4, -2, -1, 70 Sort 2/9, -2926, -0.1, 3.1, -0.4 in decreasing order. 3.1, 2/9, -0.1, -0.4, -2926 Put 71, 0, 4, -6 in decreasing order. 71, 4, 0, -6 Put -10, -4, 3330, -2 in descending order. 3330, -2, -4, -10 Put 3, 0, -17, -2, 1, -304 in ascending order. -304, -17, -2, 0, 1, 3 Put -171449, -4, 0 in increasing order. -171449, -4, 0 Sort 5, 2, 28, -8, 4, -1 in decreasing order. 28, 5, 4, 2, -1, -8 Sort 1, 4, -1/523. -1/523, 1, 4 Put 0, -1, -4, -8, -1642 in descending order. 0, -1, -4, -8, -1642 Put 0, -5, -2, 432, 6, -4 in ascending order. -5, -4, -2, 0, 6, 432 Sort 5, 14, -127 in descending order. 14, 5, -127 Sort -3/4, 0, -11, -1632, 2 in decreasing order. 2, 0, -3/4, -11, -1632 Sort -60, 6, -2/3, 2/13, -1/6, 8/7 in increasing order. -60, -2/3, -1/6, 2/13, 8/7, 6 Sort -2187, -4, -1 in decreasing order. -1, -4, -2187 Sort 4, -57, 1/8, -1/950. -57, -1/950, 1/8, 4 Sort 5, -8, -23, 2, 1 in decreasing order. 5, 2, 1, -8, -23 Put -168, -4, -2, -32 in descending order. -2, -4, -32, -168 Put 1, 4, 2, 3.5, -0.176 in decreasing order. 4, 3.5, 2, 1, -0.176 Put -0.048, 0, -0.5, -58, 12, -2 in ascending order. -58, -2, -0.5, -0.048, 0, 12 Sort -49, -32115, -3 in ascending order. -32115, -49, -3 Put 9/4, -44, 1/4, 0.2 in descending order. 9/4, 1/4, 0.2, -44 Sort 5, 335, 1, 2, 0 in descending order. 335, 5, 2, 1, 0 Put 3/2, 0.3, 1/3, 8, -0.1, 4/5 in decreasing order. 8, 3/2, 4/5, 1/3, 0.3, -0.1 Sort -0.08, -5, -2/11, 4, 97, 0.1 in descending order. 97, 4, 0.1, -0.08, -2/11, -5 Sort 0.1, -0.6, -3/29, 3, -0.79 in ascending order. -0.79, -0.6, -3/29, 0.1, 3 Sort 0, 3, 83507 in decreasing order. 83507, 3, 0 Sort 980, 3/59, 0.2 in decreasing order. 980, 0.2, 3/59 Sort -4, -5, 12, -5.43 in increasing order. -5.43, -5, -4, 12 Put -88, 0, -4 in descending order. 0, -4, -88 Sort 8, -1, 1, 2, 3, 622 in
{ "pile_set_name": "DM Mathematics" }
+ 11000101110010? 11000101110111 In base 10, what is -49827 - 2? -49829 In base 8, what is -7753204 + 2? -7753202 In base 16, what is c + 3c5d? 3c69 In base 6, what is 121 - 441? -320 In base 7, what is -5 + 11640120? 11640112 In base 4, what is 202212131 - -1? 202212132 In base 3, what is -122 - 1212022? -1212221 In base 10, what is 80474 + -4? 80470 In base 8, what is 4 + 1112277? 1112303 In base 4, what is 202 + -1022022? -1021220 In base 4, what is 0 - -2000203212? 2000203212 In base 6, what is 1104 + 135? 1243 In base 3, what is 20112101 + -11110? 20100221 In base 12, what is 0 - -217608? 217608 In base 16, what is 148e + -71? 141d In base 12, what is 924479 - -5? 924482 In base 15, what is 84a0 - -2? 84a2 In base 14, what is 5 - c795? -c790 In base 10, what is -565134 - 5? -565139 In base 7, what is 361260 + 32? 361322 In base 4, what is 133 - 12032? -11233 In base 3, what is -21221020 - -20202? -21200111 In base 11, what is -32591 + 4? -32588 In base 14, what is -925a2 - -5? -9259b In base 4, what is -1003 + 12100? 11031 In base 8, what is 1200 - 74? 1104 In base 16, what is 98 - a9? -11 In base 15, what is 490 - 28? 467 In base 11, what is -4141 - -7a9? -3443 In base 8, what is -3 + 143322? 143317 In base 14, what is -3 + 105727? 105724 In base 5, what is -21444103 - 1? -21444104 In base 11, what is 17993 - -8? 179a0 In base 3, what is 1110021010 - -12? 1110021022 In base 4, what is 100001103 - 10? 100001033 In base 12, what is -89b + 48? -853 In base 5, what is 1 + 2230232? 2230233 In base 13, what is 3b499 - 4? 3b495 In base 6, what is 1022144044 - 2? 1022144042 In base 10, what is -87929 + -4? -87933 In base 2, what is -110001110011000011 - -11? -110001110011000000 In base 14, what is a9 + -4c? 5b In base 14, what is -bd96 - 5? -bd9b In base 8, what is 427 + -462? -33 In base 3, what is 122110101 - 1? 122110100 In base 14, what is 391 - 522? -171 In base 16, what is -4 - -c8? c4 In base 2, what is 1 + -10001100101001001001? -10001100101001001000 In base 8, what is -2635 - 13? -2650 In base 4, what is 22121122112 + 11? 22121122123 In base 15, what is -112 + 34b? 239 In base 2, what is -10 + -11100101100110? -11100101101000 In base 8, what is -25355 + -7? -25364 In base 6, what is -23 + 313514? 313451 In base 11, what is -1275 + 49? -1227 In base 12, what is -24 - 169? -191 In base 5, what is -200234 + -2420? -203204 In base 12, what is -45611 + -13? -45624 In base 3, what is 1010001100122 + 11? 1010001100210 In base 9, what is -3 - 21128? -21132 In base 7, what is 23 + -12240? -12214 In base 8, what is -43 - -20676? 20633 In base 16, what is -1c0f7 + 9? -1c0ee In base 13, what is -51 + 1a432? 1a3b1 In base 13, what is -55 + -17071? -170c6 In base 7, what is -164121 - 24? -164145 In base 7, what is -3 - -41064? 41061 In base 7, what is 1 - 14034? -14033 In base 6, what is -4 - -4224330? 4224322 In base 6, what is -3254110 + -1? -3254111 In base 12, what is 698655b - 1? 698655a In base 10, what is -3 + 11723? 11720 In base 3, what is 101202210 - -110112? 102020022 In base 14, what is -18 - 24464? -2447c In base 3, what is 20 + -200212111? -200212021 In base 8, what is 154 - 1064? -710 In base 11, what is 2 + -2a302? -2a300 In base 7, what is 3341 - 254? 3054 In base 14, what is b094 + 14? b0a8 In base 7, what is -13623 + -6? -13632 In base 15, what is 6a - -59e? 619 In base 13, what is -4136 + 4? -4132 In base 10, what is -1 + -17148? -17149 In base 3, what is 1022221111 - -1? 1022221112 In base 12, what is -1394290 + 0? -1394290 In base 13, what is 3a - -ac80? acba In base 10, what is -220 - -279? 59 In base 15, what is 84725 + -1? 84724 In base 4, what is 1331 - -3211? 11202 In base 7, what is 1002600 - 3? 1002564 In base 9, what is 1 + 13205? 13206 In base 4, what is -11030 - 1203023? -1220113 In base 2, what is -101010110111101111 - 0? -101010110111101111 In base 14, what is 1 - -550? 551 In base 15, what is -14 - 9e82? -9e96 In base 11, what is -5788 + -30? -5808 In base 10, what is -739 - 107? -846 In base 4, what is -103 - 12201? -12310 In base 12, what is -1 - -355bb? 355ba In base 16, what is -af - 272c? -27db In base 3, what is 102112200 - 2211? 102102212 In base 14, what is -678916 - 0? -678916 In base 3, what is 2 - -12112101121? 12112101200 In base 6, what is 14502 - -20354? 35300 In base 3, what is -120011 + 100012? -12222 In base 11, what is 4885 + -18? 4868 In base 11, what is 41855 - -5? 4185a In base 13, what is -7 + -1403? -140a In base 4, what is -30 + -11201333? -11202023 In base 10, what is -334 + -20? -354 In base 4, what is 2 + 103131? 103133 In base 14, what is 88 + 49? d3 In base 5, what is 330 + 343442? 344322 In base 9, what is -248 + 142? -106 In base 2, what is -11111101 + -1110100011000? -1111000010101 In base 11, what is 5 + -236245? -236240 In base 2, what is 11011101101100001 + -11001? 11011101101001000 In base 3, what is -1010112210 - 210? -1010120120 In base 6, what is -20 - 4231? -4251 In base 15, what is -1 - -86864? 86863 In base 15, what is -30 + -2358? -2388 In base 2, what is 111100 + 1100000100? 1101000000 In base 7, what is 5 - -1610323? 1610331 In base 13, what is -12 - -6817? 6805 In base 4, what is -311 + 20122303? 20121332 In base 5, what is 111001 + -1014? 104432 In base 2, what is 11 + -101100001000101001? -101100001000100110 In base 16, what is -1 + -45d3? -45d4 In base 4, what is -10 + 133231? 133221 In base 14, what is 34bc1 - 3? 34bbc In base 6, what is -305022 - -4? -305014 In base 5, what is 333143 + -132? 333011 In base 7, what is 3450 - -31? 3511 In base 13, what is 999 - 23? 976 In base 15, what is 1bec + 27? 1c24 In base 4, what is -30 - 10003202? -10003232 In base 3, what is 12012101201 - -11? 12012101212 In base 7, what is -25 + 35251? 35223 In base 11, what is 5 + 2465? 246a In base 12, what is -765 + -6? -76b In base 11, what is -922 + -1a4? -1016 In base 3, what is -1022 + 20021? 11222 In base 14, what is 957 + 1c? 975 In base 6, what is 311302 + 0? 311302 In base 6, what is -15 + 2433315? 2433300 In base 8, what is -125045 + -2? -125047 In base 11, what is -7112 + -3? -7115 In base 9, what is 3457 + 4? 3462 In base 9, what is 3 + -118560? -118556 In base 6, what is -300 + -352553? -353253 In base 10, what is -9299 - -26? -9273 In base 11, what is 264 - 1147? -993 In base 11, what is 1080 - -380? 1450 In base 12, what is 12a - 4aa6? -4978 In base 16, what is -783b8 - 2? -783ba In base 15, what is 7e096 + 6? 7e09c In base 5, what is -1430203 + 0? -1430203 In base 13, what is 2 - -835? 837 In base 11, what is -78582 - -7? -78576 In base 11, what is 28a83 - 6? 28a78 In base 6, what is -1203225 + -33? -1203302 In base 13, what is -1 + 60431? 60430 In base 12, what is -1 + -12982? -12983 In base 15, what is -9ad + -1? -9ae In base 7, what is 2653 + 135? 3121 In base 2, what is -1 - -1100111110011011? 1100111110011010 In base 6, what is -2534 + -35? -3013 In base 14, what is 5 + -46cb? -46c6 In base 16, what is 1f9 - 2fe? -105 In base 7, what is -30416 + 30? -30356 In base 15, what is -15423 - -12? -15411 In base 9, what is 4247811 - 0? 4247811 In base 7, what is -52661 + -100? -53061 In base 14, what is -5944 - -9c? -5886 In base 15, what is -6 - -4aa7? 4aa1 In base 6, what is -302 + -251? -553 In base 4, what is -10133103 + -2101? -10201210 In base 9, what is -5 + -8411? -8416 In base 8, what is 1272 - 1110? 162 In base 13, what is 44 + 943? 987 In base 4, what is 21200 + -11111? 10023 In base 14, what is -1cad - -28? -1c85 In base 2, what is 100011011110010 + 1? 100011011110011 In base 9, what is -1210 - -38? -1161 In base 2, what is -11100 + 1100001111? 1011110011 In base 11, what is 1 - 6684? -6683 In base 6, what is -11414 + 3231? -4143 In base 16, what is 9 - -a453c? a4545 In base 13, what is 5b + -6b7? -659 In base 13, what is -375 - -18c? -1b6 In base 4, what is 2 + 2022130? 2022132 In base 14, what is 5 - 405d? -4058 In base 9, what is 106 - 3637? -3531 In base 2, what is 1111101001110001 + -10010? 1111101001011111 In base 14, what is 250a9 - 2? 250a7 In base 8, what is 3 + 1350143? 1350146 In base 9, what is -315517 + -3? -315521 In base 12, what is -a - 9430? -943a In base 11, what is -1810187 + -1? -1810188 In base 12, what is -1005 + -15? -101a In base 8, wh
{ "pile_set_name": "DM Mathematics" }
*-5*sqrt(22)/(sqrt(50) - sqrt(2))*-4. 25*sqrt(11) Simplify ((sqrt(612) - (sqrt(612)*-2*-5 + sqrt(612))) + 4 + sqrt(612)*-2)**2 - 3*(-2*sqrt(612) + 1)**2. -504*sqrt(17) + 80797 Simplify (sqrt(1368) - -1*sqrt(1368)*6)/((sqrt(192)/(sqrt(32)/sqrt(4)))/sqrt(12)). 42*sqrt(19) Simplify (sqrt(14) + 3*(sqrt(14) + sqrt(28)/sqrt(2)))/(sqrt(24)/sqrt(192) + sqrt(2)). 28*sqrt(7)/5 Simplify (sqrt(140)/sqrt(5) + -5)**2 + -3 - (sqrt(49) + (sqrt(49) - (sqrt(784) - (sqrt(784)*2 - sqrt(784)))))/(-6*(sqrt(7) + sqrt(7)*-2)). -61*sqrt(7)/3 + 50 Simplify -1 + (sqrt(84)/((sqrt(96) + 2*sqrt(96))/sqrt(8)) + sqrt(63)/(-6*sqrt(9)*2))*6. -1 + 3*sqrt(7)/2 Simplify (-5 + (2 + sqrt(1008) - sqrt(7)) + -2 + (sqrt(7) - (sqrt(7) - (-1 + sqrt(7))*-1)))**2. -80*sqrt(7) + 716 Simplify 3 + sqrt(98) + (sqrt(98) + sqrt(98) + (3*sqrt(98))**2 + sqrt(98) - sqrt(98)) - 4*(sqrt(6)*-3 - sqrt(6))/sqrt(3). 37*sqrt(2) + 885 Simplify ((2 + sqrt(7) + -1)**2 + -1 + 1*1*sqrt(7)*-4)*-4. -28 + 8*sqrt(7) Simplify ((sqrt(80) + -1 + 4 + -5)*-6)**2. -576*sqrt(5) + 3024 Simplify (sqrt(80) + 4 + (sqrt(10)/sqrt(2) + 1 + sqrt(5) - sqrt(5)))**2 + 1 + 2*sqrt(80)*-2. 34*sqrt(5) + 151 Simplify sqrt(10)/((sqrt(70)/sqrt(7))/sqrt(2)) + (sqrt(32) + 3 - (1 + sqrt(8))**2). -6 + sqrt(2) Simplify 6*((-3*sqrt(19) + -3 + sqrt(19))*4)**2*4. 4608*sqrt(19) + 32640 Simplify (sqrt(1539) + 3 + sqrt(1539) + 3 - (sqrt(1539) - (1*sqrt(1539)*6 + sqrt(1539))))**2 + -4. 864*sqrt(19) + 98528 Simplify (5 + (-2*2*sqrt(363) - (2 + 1 + sqrt(363)))*4*3)**2. 40920*sqrt(3) + 1307761 Simplify 3*((1*sqrt(325)*-4)**2 - (sqrt(325) + 5*sqrt(325)*1 + sqrt(325))) + -5. -105*sqrt(13) + 15595 Simplify 1 + (1*sqrt(720))**2 + 4 + (sqrt(720) + 1 + sqrt(720))*1. 24*sqrt(5) + 726 Simplify (sqrt(216) + -3*4*sqrt(216))/((sqrt(96)/(sqrt(4)*-4) - sqrt(24))/sqrt(12)). 264*sqrt(3)/5 Simplify 4 + (-3*-1*sqrt(17))**2 - (sqrt(1700) - (-1*sqrt(1700))**2 - ((1*sqrt(425))**2 + sqrt(17) - sqrt(17))). -10*sqrt(17) + 2282 Simplify (-2*sqrt(405))**2 + -5*-1*sqrt(5) - ((-1 + sqrt(5) + -5 - sqrt(240)/sqrt(3))**2 + -3). -31*sqrt(5) + 1542 Simplify 2*sqrt(1100)*2 - (-5 + (2 + sqrt(396))**2). -395 + 16*sqrt(11) Simplify (sqrt(216)/(sqrt(54)/sqrt(54) - sqrt(9)))/(6*1*sqrt(48)). -sqrt(2)/8 Simplify 2*-4*6*(-3*sqrt(156)*1 + sqrt(156))/(3*sqrt(24)/sqrt(2)). 32*sqrt(13) Simplify (sqrt(275)/(sqrt(11) + sqrt(22)/sqrt(2) + sqrt(11)) + sqrt(25) - -1*sqrt(2025))/((sqrt(270)*-1 - sqrt(30))/sqrt(6)). -31*sqrt(5)/12 Simplify -3 + -1*sqrt(75) + 5 + 5 + 5. -5*sqrt(3) + 12 Simplify (sqrt(306) + (sqrt(306) - -5*sqrt(306)*-1) - sqrt(306))/(sqrt(6)/(sqrt(3) - sqrt(300)*-2)). -252*sqrt(17) Simplify (sqrt(11) - (sqrt(176) + 2)**2 - (1*sqrt(11) + 0)**2) + sqrt(22)/((4*sqrt(10))/sqrt(5)). -191 - 59*sqrt(11)/4 Simplify 1 + (-1 + -2*sqrt(13) + -3 + 2*sqrt(13))*2. -7 Simplify (sqrt(144)/(2*sqrt(72)))/(1*sqrt(864) - sqrt(96)*-1). sqrt(3)/96 Simplify -5*(((sqrt(1900) - (1 + sqrt(1900))) + sqrt(1900) + 2 - (1 + sqrt(1900) + 3)) + 1)**2. -20 Simplify 6*(-1 + 2 + sqrt(112))**2. 48*sqrt(7) + 678 Simplify -2*((2*sqrt(11) + 4 - (1 + (sqrt(11)*2)**2)) + (sqrt(891) + 0)**2 + -2). -1696 - 4*sqrt(11) Simplify (5 + (sqrt(468) - (2*sqrt(468)*1 - sqrt(468))))**2 - (2 + sqrt(208) + (-4 + 1*sqrt(208))**2). -201 + 28*sqrt(13) Simplify (sqrt(84)*-1*2 + (sqrt(84) - sqrt(84)*1*-1))/((sqrt(144) - sqrt(144)*4*4)/sqrt(12)). 0 Simplify -2*(-1*(-2*sqrt(84) + sqrt(84)))/(2*sqrt(12)*1). -sqrt(7) Simplify ((1*sqrt(8))**2 - (sqrt(24)/(sqrt(12) + sqrt(48) + sqrt(12) + sqrt(12)))**2 - (6*1*sqrt(2) + (-1*(sqrt(2) + sqrt(8)/sqrt(4)))**2)) + -4. -6*sqrt(2) - 102/25 Simplify (sqrt(800) + sqrt(800)*1*-3)/(sqrt(44)/(2*sqrt(1331))). -440*sqrt(2) Simplify 3*((sqrt(19)*-1*3 - (sqrt(76) - (1 + sqrt(76) + sqrt(76))))**2 + -3)*1. -6*sqrt(19) + 51 Simplify ((sqrt(60)*-1)/sqrt(6))/sqrt(5) + sqrt(4)/(sqrt(8)/sqrt(4)) + 1. 1 Simplify 3*(4 + 1*(sqrt(1100)*-2 + 5 + 5))**2. -1680*sqrt(11) + 13788 Simplify (-2 + sqrt(468) + 2 + 2*sqrt(468) + sqrt(468) + sqrt(468) - (sqrt(468) + 2*(sqrt(468) + 1 + sqrt(468)) - (-2 + sqrt(468) + 3)))**2. -12*sqrt(13) + 469 Simplify 4*-4*(-4 + (sqrt(5)*-1 + -5 - sqrt(5) - sqrt(5)))**2. -2016 - 864*sqrt(5) Simplify ((sqrt(176)/((sqrt(11) + (sqrt(11)*-1 - sqrt(11)) - sqrt(11))*1))/((sqrt(8) + sqrt(56)/(sqrt(7)*-3 + sqrt(7)))*-6))**2. 1/18 Simplify (-1 + (sqrt(13) + 1)**2 + -1 + (-1 + 2*sqrt(13)*3)**2)*1 + 3. -10*sqrt(13) + 484 Simplify 3*((sqrt(1539) - (-3 + sqrt(1539))**2 - sqrt(1539) - sqrt(1539)) + sqrt(1539)) + (((sqrt(1539)*-1 - sqrt(1539) - sqrt(1539)) + sqrt(1539))*-5)**2. 162*sqrt(19) + 149256 Simplify 0 + (sqrt(200)*-3*1)**2 + 4. 1804 Simplify ((sqrt(84) - (sqrt(84) - sqrt(84)*-1)*-6) + (sqrt(84) - sqrt(84)*-2 - sqrt(84))*5)/((sqrt(24) - (-3*sqrt(1944) + sqrt(1944)))/sqrt(2)). 23*sqrt(7)/19 Simplify (sqrt(45) + 3 - -6*sqrt(405))*2*6. 36 + 684*sqrt(5) Simplify ((2*sqrt(42))/sqrt(3) - (-4*sqrt(28)/sqrt(2) + sqrt(14) + sqrt(14)))/(-1*sqrt(847)*-1). 4*sqrt(2)/11 Simplify 5*(4*(sqrt(17) + 1)*2 + 2*sqrt(1088) + sqrt(1088) + (sqrt(17) - (sqrt(17) + (sqrt(17) - (sqrt(17) - sqrt(68) - sqrt(17))*5))))**2. 1680*sqrt(17) + 37805 Simplify ((sqrt(119) - -1*sqrt(119)*-2) + 1*-2*sqrt(119))/(sqrt(847)*1 - (-1*(sqrt(7) - 2*sqrt(7)) - sqrt(7))). -3*sqrt(17)/11 Simplify -6*6*(-6*(sqrt(475) - (sqrt(475) - (sqrt(475) + sqrt(475)*-4 + sqrt(475) - sqrt(475)) - sqrt(475))))**2 + 2. -2462398 Simplify (-2*(sqrt(114) - (sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114) + -3*sqrt(114)*-5 - sqrt(114))) - sqrt(114))))/(sqrt(12)/(sqrt(18)/(-1*sqrt(9)))). 32*sqrt(19) Simplify (-1 + sqrt(18)*3 - sqrt(36)/(1*sqrt(2))) + 3. 2 + 6*sqrt(2) Simplify (sqrt(130)/(1*sqrt(160)))**2 - ((2*sqrt(143))/sqrt(11) - -6*(-1 + sqrt(13))). -8*sqrt(13) + 109/16 Simplify -5 + 1*3*(-5 + (3 + sqrt(99))**2*-4). -1316 - 216*sqrt(11) Simplify (0 + sqrt(175))*-1 - (-2*sqrt(175) + -3) - (sqrt(175) - (1 + sqrt(175) - sqrt(175)))*-4*-4. -75*sqrt(7) + 19 Simplify (sqrt(2299) + -5 + (sqrt(2299) - (1 + sqrt(2299) - sqrt(2299))**2) + sqrt(2299) - sqrt(2299))*5 + 4. -26 + 110*sqrt(19) Simplify 1*(sqrt(3993) + sqrt(3993)*-2 + sqrt(3993) + sqrt(3993)*1)/(sqrt(176)/sqrt(4) + sqrt(11) + sqrt(121)/(1*sqrt(11))). 11*sqrt(3)/4 Simplify (5*(1*sqrt(637) + 3) + 3 + sqrt(78)/sqrt(6) + sqrt(13) + sqrt(156)/sqrt(588) + sqrt(13))**2. 9612*sqrt(13)/7 + 942633/49 Simplify ((1*sqrt(216) - sqrt(216) - sqrt(216))/sqrt(192) + 2)**2*2. -6*sqrt(2) + 41/4 Simplify (sqrt(30)/(sqrt(24)/(-2*sqrt(4))) + -1 + sqrt(5) + 3 + sqrt(5) + sqrt(125) + 0 + sqrt(5))**2. 24*sqrt(5) + 184 Simplify ((-3 + 1 + sqrt(175))*-1)**2 + 1. -20*sqrt(7) + 180 Simplify (0 + sqrt(200) + -4 - ((sqrt(200)*-1 + sqrt(200))**2 + -4))*-1. -10*sqrt(2) Simplify sqrt(500) + (sqrt(500) + 0 - sqrt(500))**2 + (sqrt(720) + -2 + sqrt(720))**2 + -3 + -3. -86*sqrt(5) + 2878 Simplify 4 + ((sqrt(7) + sqrt(7) + 1 + sqrt(7))*2 - -4*(1 + sqrt(7))) + -3 + sqrt(63) + (sqrt(42)/(sqrt(6)*-1) + sqrt(7))**2 + -3. 4 + 13*sqrt(7) Simplify sqrt(228)/(-5*sqrt(108)) + (((sqrt(19) + -1)*-4)**2 - (sqrt(19)*1 + -3)). -496*sqrt(19)/15 + 323 Simplify -4 + (sqrt(19) - sqrt(38)/(sqrt(22)/sqrt(11))) - (sqrt(171) - 1*(sqrt(171) + 5 + sqrt(171))**2). 57*sqrt(19) + 705 Simplify 5*sqrt(112) + -2 - -2*(sqrt(7) + 1 + sqrt(252)). 34*sqrt(7) Simplify 2 + (-1*(-1 + sqrt(13)) + sqrt(13) + sqrt(65)/sqrt(5) + sqrt(13) + sqrt(13) + -4 + 1)**2. -12*sqrt(13) + 123 Simplify ((3*sqrt(275) + sqrt(275))*5)**2 + (sqrt(99)*-6 - 2*sqrt(1100)). -38*sqrt(11) + 110000 Simplify -1 + sqrt(468)*-2 + 0 + ((-2*sqrt(117) - sqrt(117)) + sqrt(117) - sqrt(117))**2. -12*sqrt(13) + 1052 Simplify (1*sqrt(8208)*1)/(-4*sqrt(108)/sqrt(4)). -sqrt(19) Simplify (4 + sqrt(1216)*3 + -4)**2*2*5 + -2. 109438 Simplify ((-5 + (sqrt(363) + sqrt(363) + sqrt(363)*-2 - sqrt(363)))*4)**2*4. 7040*sqrt(3) + 24832 Simplify ((sqrt(8)/(sqrt(4) - sqrt(16)) + sqrt(2))*5 - ((sqrt(12) - sqrt(36)/sqrt(3))/sqrt(6) + sqrt(6)/sqrt(3)*6))*2. -12*sqrt(2) Simplify (-3*(sqrt(882)*-2 + sqrt(882)))/((sqrt(9) - 2*sqrt(9))*6 - sqrt(99)/sqrt(44)). -42*sqrt(2)/13 Simplify (-3*sqrt(77)*-3)/(sqrt(448)*-3 + sqrt(448)). -9*sqrt(11)/16 Simplify 5 + (sqrt(1584) + -1)**2*-5 + ((sqrt(1584) + 0)*-6 - (sqrt(1584) + -1*sqrt(1584))*-2)**2. 120*sqrt(11) + 49104 Simplify (-4*(sqrt(288) - (2 + sqrt(288) + sqrt(288))**2 - sqrt(288) - sqrt(288)) + (sqrt(288) + 3
{ "pile_set_name": "DM Mathematics" }
t is the smallest common multiple of d and 2? 22 Let f be 2/(-5*4/(-30)). Suppose -5*p + 40 = 3*d + d, -3*p - f*d = -27. Suppose p*o = 40 - 12. Calculate the least common multiple of 7 and o. 7 Let f(c) = c**3 - 2*c**2 - c + 4. Let i(h) = h**2 - 20*h + 39. Let k be i(18). What is the smallest common multiple of 10 and f(k)? 10 Let o(q) = q**3 + 5*q**2 + 3*q + 2. Let u be o(-4). Suppose u = k - 6. Let a = k - 4. What is the least common multiple of 14 and a? 56 Let j be (-4)/(-18) + 2432/(-9). Calculate the common denominator of 3/24*1207/(-34) and (-2)/8 + j/88. 176 What is the smallest common multiple of -3*(924/9)/(-11) and 68? 476 Let n(a) = a**3 - 18*a**2 - 66*a + 83. Calculate the lowest common multiple of n(21) and 124. 620 Let d(r) = -2*r**2 + 18*r + 24. Let s(v) = 2*v - 12. Let c be s(11). What is the lowest common multiple of 20 and d(c)? 20 Let k = -214169/847850 - -111/547. Calculate the common denominator of k and -101/4. 3100 Calculate the common denominator of 76/117 and (41/20 + 2)*816/3978. 585 Let v(q) = q**3 - 4*q**2 + 3*q. Let d(p) = p**2 - 3*p. Let o be d(4). Let a = 0 - -6. Calculate the smallest common multiple of a and v(o). 12 Calculate the smallest common multiple of 105/21 + (-3*5)/(-3) and 208. 1040 Let a = 57 - 58. Let r(w) = -12*w - 2. What is the least common multiple of r(a) and 5? 10 Let l = 2349 - 2343. What is the smallest common multiple of 33 and l? 66 Let s(m) = m**2 - 18*m - 41. What is the least common multiple of s(-3) and 4? 44 Let m be ((-5)/((-140)/75476))/(-1). Let w = m + 5377/2. Calculate the common denominator of w and -95/8. 56 Let w be -4 - -27659 - (1 - -3 - 1). Let x = 608455/22 - w. Find the common denominator of -3/22 and x. 22 Let l = 2 - 24. Let w = 38 + l. What is the smallest common multiple of w and 14? 112 Suppose -810 = 30*l - 39*l. What is the lowest common multiple of 108 and l? 540 Let r(f) = 7*f**2 + f + 1. Let m be r(-1). What is the smallest common multiple of ((-42)/(-8))/m*12 and (-10)/1*1/(-1)? 90 Suppose -2*c + 24 = 4*k - 9*k, 3*k = 0. What is the lowest common multiple of 8 + (1 - (8 - 8)) and c? 36 Let u = -165 + 597. What is the lowest common multiple of 128 and u? 3456 Let b = 1679 - 5090/3. Let x be (-4805)/10 - 1 - 0. Let u = -443 - x. Calculate the common denominator of u and b. 6 Calculate the least common multiple of 6 and (2 + -12)*-141*(-8)/(-24). 1410 Let j = 2760891/68 - 40600. Calculate the common denominator of j and 58/119. 476 Let h = -846 - -857. What is the least common multiple of h and 404? 4444 Suppose -s = 2*s - 4*u - 82, -4*u = -s + 38. Let h(d) = 2*d + 10. What is the smallest common multiple of h(5) and s? 220 Suppose -211 + 243 = 8*n. Suppose -2*r - 20 = -6*r. Calculate the least common multiple of n and (1 + r)*2/3. 4 What is the least common multiple of ((-960)/112)/(2 - 93/42) and 32? 160 Suppose 0*l = -4*l + 216. Suppose 0*i + 3*i - l = 0. What is the smallest common multiple of (-49)/(-2) - 50/20 and i? 198 Suppose 8*j - 12 = 6*j. Let i = -8/949 - 69181/11388. What is the common denominator of j/12 - 162/33 and i? 132 Let d = -8984 + 539009/60. What is the common denominator of d and 23/240? 240 Suppose 0*l - 34 = -17*l. Suppose l*b = -0 + 6. Let r = -1 + 6. Calculate the lowest common multiple of r and b. 15 Let y = -260863/18 - -14496. Find the common denominator of 2 + -4 - (-6)/44 and y. 198 Calculate the common denominator of -113/710 and (7 + 570/(-81))/((-10)/(-1905)). 6390 Let o = -78 + 69. Calculate the common denominator of 111/o*9/24 and -95/16. 16 Let f = 47 - 53. Find the common denominator of 65/275*15/f and (-31)/(-4) - (-1)/(-2). 44 Suppose -2*p + 11 - 1 = 0. Let k(i) = -3 - 2 - i**2 - p - 15*i + 0. What is the least common multiple of k(-7) and 12? 276 Suppose 0 = 4*m - 20 - 4. Suppose 5*o - 75 = k, 5*o - 7*k = -5*k + 80. Calculate the lowest common multiple of m and o. 42 Let i = 185 - 203. Calculate the common denominator of -25/3 and i. 3 Let j(z) = z**2 - 6*z - 3. Let w be (-6)/(-4)*(-14)/(-3). Let x be j(w). Let u(y) = 6*y + 10. What is the common denominator of -41 and u(x)? 1 Suppose 51 = 12*y - 129. What is the least common multiple of y and 55? 165 What is the common denominator of 1 + (-74)/126 - (1 - 1) and 65/63? 63 Let b be (-4176262)/5 - (-12)/(-20). Let i = 126957533/152 + b. Let j = -1/19 + i. Calculate the common denominator of 22/9 and j. 72 Suppose -3*u + 3*i - 61 = -i, 4*u - 2*i + 98 = 0. Calculate the common denominator of (-145)/u*12/(-8) and ((-61)/60 - -1)*-262. 90 Let n = 2884 - 1720. Find the common denominator of (n/112)/((-12)/8) and -45/14. 14 Let f(r) = 6*r**2 + 17*r + 120. What is the least common multiple of 40 and f(-7)? 2360 Let t(y) be the first derivative of 49*y**2/2 - y - 2. Suppose s = -3*w - 23, 9*w + 3*s = 5*w - 34. Find the common denominator of t(-1) and w. 1 Let a = 48 + -42. Let m = a + 6. Calculate the smallest common multiple of m and 54. 108 Let b = -36713/6 + 6141. Find the common denominator of b and 6/(-9) - (-43)/12. 12 Suppose 3*i + 5*c - 334 = 0, -5*i - 3*c - 318 = -8*i. What is the smallest common multiple of i and 16? 432 Let n be 5/15 - 19162/3. Let u be 3*1/((-108)/230062). Let t = u - n. What is the common denominator of t and -11/4? 36 Let l = -284620369/21903768 + 38176/2791. Let x = -9/872 - l. Find the common denominator of x and -31/16. 144 Calculate the common denominator of (-11902)/5412 + (0 + 2)/1 and 95/48. 1968 What is the common denominator of 43/200 and (38*(-14)/(-12))/(2420/33)? 2200 Calculate the smallest common multiple of (-172)/129 - (-166)/3 and 114. 1026 Let c = 3728 - 40967/11. Let o = 4509242123929/1214385221616 - 1/190223249. Let l = -1/912 - o. Find the common denominator of c and l. 77 Let v = 3247/6 - 538. Let n be 0 - -3 - 69296/23096. Let j = 291579/23096 - n. What is the common denominator of v and j? 24 Suppose 0 = 5*l - 2*l - 5*s - 84, 2*s = 0. Suppose 3*z - l = 2. Calculate the lowest common multiple of 57 and z. 570 Let c be 105506244/(-12) + -1 + 0. Let t be c/832 - (-4)/(-26). Let r = 10572 + t. Find the common denominator of r and -61/8. 16 Suppose -14 = -2*z - 22, 4*z + 79 = 3*f. Calculate the least common multiple of 2 and f. 42 Suppose -4*n + 1112 = 2*b, -b + 3*n + 608 = 67. What is the least common multiple of 330 and b? 1650 Let q = -280286/113 - -68908190/28589. Let h = q - -25517081/2530. Let j = h + -10005. What is the common denominator of 35/12 and j? 60 Let f(n) = -8*n**3. Let q be ((-3)/4)/(2/40). What is the least common multiple of f(-1) and ((-2)/6)/(1/q)? 40 Suppose -v + 0*k + 2 = -5*k, 0 = -5*v - k + 10. Let q be v/((-6)/2 - -4). Suppose 2 + q = g. Calculate the least common multiple of g and 20. 20 Let l = -15 + 23. Suppose -l*j + 61 = -3. What is the lowest common multiple of 30 and j? 120 Let u = 12/9515 + 11363/31140. Calculate the common denominator of u and -36/11. 396 Let c = 121748/6297 + -2/2099. Calculate the common denominator of 4/(48/(-242)) + 3 and c. 6 Let q = 5/177 + -9062/1239. What is the common denominator of ((-282)/99)/((-4)/(-6)) and q? 77 Let q be (76/(-15))/((-3)/3225). Let b = q + -98135/18. What is the common denominator of (-2)/(-100)*(-650)/(-20) and b? 180 Suppose -4*j = -2*b + 16, 31 = 4*b + j - 28. Calculate the smallest common multiple of b and 42. 42 What is the lowest common multiple of -4*((-39)/12 - (0 + 5)) and 2/4*(-1 + 25)? 132 Let p = -87514019009/786 - -111341016. Let s = p + -8/131. Find the common denominator of -103/20 and s. 60 Let a(b) = b**3 - 21*b + 39. Calculate the smallest common multiple of 63 and a(2). 315 Suppose 0 = -2*b - 4*g + 20, 5*b + 14*g - 50 = 15*g. What is the least common multiple of 127 and b? 1270 Suppose 2*i - 3*h - 48 = 0, 3*i + 41 = 3*h + 110. Suppose 1 = 4*n - 47. Calculate the least common multiple of n and i. 84 Let t = -85 + 101. Calculate the lowest common multiple of 888 and t. 1776 Suppose 0 = 5*s, -2*s = -3*y + 2*s + 96. Suppose -x + y = 3*x + 4*l, 3*x - 3*l = 12. What is the smallest common multiple of 14 and x? 42 Suppose 0 = 4*k + 4 - 0. What is the common denominator of k + (0 - (-15)/50) and 13/4? 20 Suppose 0 = 2*o - 5*h + 17, -2*h + h = -4*o + 11. Let y = -2325 - -23199/10. Calculate the common denominator of y and -6 + (-43)/6
{ "pile_set_name": "DM Mathematics" }
v(h) = -9*m(h) - 4*x(h). Find the second derivative of v(n) wrt n. -88 Let s(k) = -9*k**2 + 4*k. Let d(b) = -b. Suppose 2*i = 7*i - 30. Let z(o) = i*d(o) + 2*s(o). Find the second derivative of z(u) wrt u. -36 Let d(m) be the second derivative of 0 + 0*m**2 - 9*m + 13/6*m**3 + 3/2*m**4. Find the second derivative of d(c) wrt c. 36 Let m(k) = -k**2 - 5*k + 4. Let i be m(-5). Find the first derivative of -i*a**3 + 0*a**3 - 3 - 4*a**3 - 6 wrt a. -24*a**2 Find the second derivative of -3*c**3 + 8 + 5 - 4*c**3 + 75*c**4 - 78*c**4 - c wrt c. -36*c**2 - 42*c Let n(b) = 81*b**3 - 182*b**2 + b. Let g(q) = q**3 - q**2 - q. Let l(k) = -g(k) - n(k). Find the third derivative of l(f) wrt f. -492 What is the derivative of 7293*a - 701 - 7293*a + 305*a**2 wrt a? 610*a What is the derivative of 124*l**2 - 152*l - 35 + 152*l wrt l? 248*l Let j(g) be the third derivative of -31*g**4/24 + 44*g**3/3 + 71*g**2. What is the first derivative of j(h) wrt h? -31 Suppose -15*t + 12*t = -12. What is the first derivative of -t - 4*q - 5 - 2 - 8*q wrt q? -12 Let m(o) be the third derivative of o**7/70 + 7*o**6/24 + o**4/24 + o**3/2 - 44*o**2 + 2*o. Find the second derivative of m(t) wrt t. 36*t**2 + 210*t Let x(z) be the third derivative of 73*z**8/168 - 239*z**5/20 - 591*z**2. What is the third derivative of x(y) wrt y? 8760*y**2 Let u(k) be the third derivative of 49/24*k**4 + 0 + 5*k**3 - 5*k**2 + 0*k. Find the first derivative of u(z) wrt z. 49 Let f(j) be the third derivative of -j**8/14 + j**6/40 - 9*j**5/4 - 47*j**2 - 1. What is the third derivative of f(r) wrt r? -1440*r**2 + 18 What is the second derivative of -76*y**3 - 1171*y**2 - 18 + y + 1171*y**2 wrt y? -456*y Suppose 4*f - 33 = -5*s + 90, 2*s + 3*f = 52. Let g = s + -19. What is the derivative of -2*t**g + 3 - 4 - 1 wrt t? -8*t**3 Find the third derivative of 13 + 599*o**2 - 321*o**3 + 6 - 303*o**3 - 18 wrt o. -3744 Suppose -4*u - u + 4*k + 24 = 0, 16 = 5*u + 4*k. Find the second derivative of -10*w - 4*w**3 - u*w + 0*w + 7*w**3 wrt w. 18*w Let b(v) be the second derivative of -1/6*v**4 + 3/10*v**5 + 2*v + 0*v**2 + 0 + 0*v**3. Find the third derivative of b(h) wrt h. 36 Suppose 0 = -5*n - 5 + 15. Suppose 0 = -2*s + s - n*g + 3, 5*s - 15 = 5*g. What is the third derivative of 3*f**2 - 51*f**4 + 53*f**4 + s*f**2 wrt f? 48*f Suppose 2*b - 1 = 5. Differentiate 23*l**3 - 20*l**b + 3 + 6 wrt l. 9*l**2 Let f(t) = -119*t**3 - 199*t**2 - 4*t + 4. Let q(p) = -358*p**3 - 597*p**2 - 11*p + 11. Let n(y) = 11*f(y) - 4*q(y). What is the third derivative of n(c) wrt c? 738 Let z(f) be the first derivative of 167*f**2/2 + 9*f - 351. Differentiate z(h) with respect to h. 167 Let b(d) = d**2 - 8*d + 11. Let g be b(8). What is the second derivative of -28*l**4 - g*l + 6*l**4 - 16*l wrt l? -264*l**2 Suppose 4*d - 34 = -6. What is the second derivative of x - 4*x - d*x**2 + 5*x wrt x? -14 Let r(c) = c**3 + c + 1. Let u(g) = 92*g**3 + 4*g**2 + 5*g + 5. Let j(y) = -5*r(y) + u(y). What is the third derivative of j(p) wrt p? 522 Let x(l) be the third derivative of -l**5/6 - 13*l**4/6 + 5*l**3/6 - 49*l**2 - 3. Find the second derivative of x(y) wrt y. -20 Let o(a) = a**2 - 3*a + 10. Let r be o(5). Let l be (-18)/15*r/(-6). Differentiate 636*p**2 - 636*p**2 + 4 + 2*p**l wrt p. 8*p**3 Let p(f) = 215*f**4 + 29*f**2 + 16*f. Let r(s) = 215*s**4 + 29*s**2 + 20*s. Let n(d) = -5*p(d) + 4*r(d). Find the third derivative of n(j) wrt j. -5160*j Suppose 0 = 5*z + 25 - 10, 3*c - z = 9. Find the third derivative of p**6 + 2*p**3 - 2*p**3 + 11*p**c wrt p. 120*p**3 Let w(n) = 574*n**4 + 9*n**3 + 198*n**2 - 9. Let z(y) = 287*y**4 + 4*y**3 + 98*y**2 - 4. Let t(k) = 4*w(k) - 9*z(k). What is the third derivative of t(q) wrt q? -6888*q Suppose -7*f + 5*f = -2. Find the third derivative of -2*q**2 - 5 - f + 6 - 9*q**6 wrt q. -1080*q**3 Let v(g) = 32*g**3 + 7*g**2 + 5*g + 116. Let z(q) = -97*q**3 - 20*q**2 - 14*q - 348. Let p(s) = -11*v(s) - 4*z(s). Find the second derivative of p(h) wrt h. 216*h + 6 Let s(n) be the second derivative of -3*n**8/56 + 17*n**5/20 + n**4/4 + 7*n**3/6 + 23*n + 4. Find the third derivative of s(x) wrt x. -360*x**3 + 102 Let y(g) = -291*g**2 - 72*g + 12. Let q(z) = 872*z**2 + 217*z - 34. Let t(c) = -6*q(c) - 17*y(c). What is the second derivative of t(a) wrt a? -570 Let d(s) = -s**2 + 10*s + 25. Let y be d(8). Differentiate -42*l**2 + 69*l**2 - y - 30*l**2 with respect to l. -6*l Let u(c) be the first derivative of -7*c**5 + 270*c - 255. What is the derivative of u(b) wrt b? -140*b**3 Let j be ((-2)/(-3))/(6/(-9)). Let g be -11 + 12 - 1/j. Find the first derivative of 5*c**2 - 5 + 5*c**g - 4*c**2 wrt c. 12*c Let m(p) = -5*p**4 + 137*p**2 - 2*p. Let c(q) = 14*q**4 - 409*q**2 + 7*q. Let d(w) = -2*c(w) - 7*m(w). Find the third derivative of d(u) wrt u. 168*u Let q(b) = -116*b**2 + 10*b - 144. Let j(m) = -117*m**2 + 8*m - 142. Let p(r) = 5*j(r) - 4*q(r). Find the first derivative of p(d) wrt d. -242*d Suppose 0 = 3*y - 4*f - 95, 0 = 4*y - 3*y + 5*f. Find the second derivative of -a - 2409*a**2 + 2405*a**2 + 0*a + y - 2*a**3 wrt a. -12*a - 8 Let o be 1 + 0*(-4)/(-12). Suppose -2*w - o = -19. Find the third derivative of -w*b**2 + 8*b**5 + 3*b**5 - 3*b**5 wrt b. 480*b**2 Let l = 114 - 108. Find the third derivative of -i**3 - 8*i**2 + i**3 + 15*i**6 - 29*i**l wrt i. -1680*i**3 What is the third derivative of 5*f**3 + 4*f - 2*f - 4*f**4 - 5*f**3 - 36*f**2 + 85*f**6 - 97*f**6 wrt f? -1440*f**3 - 96*f Let x(b) = 92*b + 495. Let k(d) = -47*d - 248. Let n(v) = -7*k(v) - 4*x(v). Find the first derivative of n(o) wrt o. -39 Let s = 14 - 11. Let w be -1*s/((-12)/20). What is the second derivative of 18*f**5 - 11*f**w + 0*f**5 - 9*f wrt f? 140*f**3 Let g be 2/(-5) - 3/(30/(-224)). What is the third derivative of -17*d**3 + g*d**3 - 7*d**2 + 5*d**3 + 8*d**3 wrt d? 108 Let d(u) be the first derivative of 113*u**7/7 - 4*u**3 + u - 157. Find the third derivative of d(a) wrt a. 13560*a**3 Let c be (-1 + 4 + 0)*1. Suppose -5*q + 2*q = -21. What is the second derivative of -12*g**3 + 2*g - 3*g + q*g**c wrt g? -30*g Let l be (-4)/26 - ((-727)/78 + 9). Let s(n) be the third derivative of -n**2 + 0*n + 0 + 1/20*n**5 - l*n**3 + 0*n**4. Find the first derivative of s(f) wrt f. 6*f Let g(o) be the second derivative of -o**5/10 - o**4 - 14*o**3/3 + o**2 + o - 12. What is the second derivative of g(s) wrt s? -12*s - 24 Let n(m) be the third derivative of 5*m**7/42 + m**5/60 + 19*m**3/6 + 138*m**2. Find the first derivative of n(l) wrt l. 100*l**3 + 2*l Let r(j) be the first derivative of 0*j**2 + 0*j + 7/3*j**6 + 26 - 22/3*j**3 + 0*j**4 + 0*j**5. Find the third derivative of r(n) wrt n. 840*n**2 Let u(x) = 2*x**4 - 3*x**3 - x**2 - 1. Let i(a) = 119*a**4 - 6*a**3 - 2*a**2 - 8*a - 7. Let p(k) = -i(k) + 2*u(k). Find the second derivative of p(t) wrt t. -1380*t**2 Suppose 3*p + 3*u = -2*p + 8, -2*p = -2*u. Suppose 4*l = 5*n + 8, -4*n + 2*l - p = 3. Differentiate n + 2*x**3 - 2*x**3 - 1 + 2*x**4 wrt x. 8*x**3 Let g = -19 + 24. Let n(x) = -7*x - 13. Let u(a) = 14*a + 26. Let q(v) = g*n(v) + 2*u(v). Differentiate q(c) with respect to c. -7 Let q(c) be the third derivative of -65*c**9/168 + 9*c**5/5 - 310*c**2. What is the third derivative of q(x) wrt x? -23400*x**3 What is the first derivative of 24*m - 10*m - 14*m - 4*m - 6*m + 71 wrt m? -10 Let z(d) be the first derivative of 78*d**7/7 + d**3/3 - d + 54. What is the third derivative of z(r) wrt r? 9360*r**3 Let v(c) be the third derivative of -11*c**8/336 + c**6/12 + 81*c**5/10 - c**2 - 38*c. What is the third derivative of v(h) wrt h? -660*h**2 + 60 Let a(d) = -d - 8. Let i(s) = 9*s + 248. Let b(c) = a(c) - i(c). What is the first derivative of b(l) wrt l? -10 Let t be (-4)/(-1) + -3 + 9 + -6. Let u(j) be the second derivative of 0*j**3 - 3/2*j**2 + 2*j + 0 - 1/12*j**t. What is the first derivative of u(c) wrt c? -2*c Let t(h) = -h**2 - 9*h - 2. Let l be t(-7). Find the second derivative of l*m - 15*m + 6*m**4 + 0*m**4 wrt m. 72*m**2 Let g(h) be the first derivative of 0*h - 23/3*h**3 - 11/2*h**4 + 0*h**2 - 5. Find the third derivative of g(x) wrt x. -132 Let f(j) be the third derivative of -433*j**6/60 - j**4/12 + 133*j**3/6 - 771*j**2. Find the second derivative of f(a) wrt a. -5196*a Let c(w) be the firs
{ "pile_set_name": "DM Mathematics" }
2. Let x = -4.52 - f. Which is the biggest value? (a) -3/8 (b) x (c) 1 c Let l = -0.09 - 3.91. Let z = -1/6 + -1/2. What is the smallest value in l, 0.03, z? l Suppose 6*j - 30 - 12 = 0. What is the biggest value in j, 5, 1/5? j Let w = -146 - -147. Let r = 0.01 + 1.99. What is the third biggest value in 0.5, w, r, -0.6? 0.5 Let k = 15.4 - 9.6. Let d = -6.16 + 0.16. Let o = k + d. Which is the third smallest value? (a) 3 (b) -3/2 (c) o a Suppose l - 64 = -4*z - 53, 2*l = 4*z - 2. Which is the second smallest value? (a) l (b) -0.2 (c) -0.3 b Let x = -49 + 9. Let m = x + 42. Which is the smallest value? (a) m (b) -1.3 (c) 3 b Let h = -0.8 + 0.52. Let k = h - -2.28. Let b = -5 + 8. What is the third biggest value in b, -0.2, k? -0.2 Let k = 15.3 - 15.347. Let p = k + 1.047. Let r = -0.3 + 0. Which is the third biggest value? (a) p (b) -0.4 (c) r b Let k be ((-858)/12)/11 + 8. Which is the smallest value? (a) -0.1 (b) -1.73 (c) k b Let h = 0.35116 - 0.05116. Let t = 5 - -12. What is the fourth smallest value in -1/6, -4/9, t, h? t Let y = 15 - 6. Let x(j) = j**3 - 5*j**2 - 16*j + 15. Let g be x(7). Which is the second smallest value? (a) y (b) g (c) -0.1 (d) -3 c Let p = -5.1 + 0.1. Let t = 6 - 16/3. Let k(r) = -2*r - 6. Let h be k(-5). Which is the second biggest value? (a) t (b) h (c) p a Let i = 11 + -10.3. Let w = i + 1.1. Let l = w - -1.2. What is the smallest value in 6, l, -1? -1 Let n = 61/3 + -20. Let t be (-2)/(1 + (-15)/(-6)). Let w = 243.4 + -243. What is the third smallest value in w, n, t? w Suppose -r + 46 = -13. Let m = -61 + r. Let x = -8 - -5. What is the second biggest value in m, x, 7? m Suppose -24*q = 7 - 55. What is the biggest value in -3, 18, q? 18 Let i = -0.2 + 0.3. Suppose 655 = -6*c + 673. What is the second biggest value in i, -3/4, c? i Let k = -2.879 - 0.121. Which is the fourth biggest value? (a) 0.1 (b) -0.4 (c) k (d) 4 c Suppose 3*r - 2*r = 4*g - 16, 2*r = -3*g + 1. Suppose -4*z - 3 = -g*z. Let m(h) = -2*h + 1. Let n be m(-1). What is the smallest value in z, n, 4? z Let q = 0.0466 + -3.0466. Let l be -7 + 4*(-2)/(-4). What is the biggest value in q, 7/4, l? 7/4 Let j = 33 - 36. Which is the biggest value? (a) -1/9 (b) -2/13 (c) j (d) 0.4 d Let o(z) = z - 11. Let a be o(5). Let n be (-366)/7 + a/(-21). Let k be 2/4*n/247. What is the second smallest value in 5, k, 14? 5 Let p = 1/170 - -33/170. Which is the biggest value? (a) p (b) 4 (c) 3/4 b Let i = -6 - -8. Let g = 982 - 985. What is the biggest value in i, -2, g, -5? i Suppose -2*k - 17 = 19. Let p be 33/(-18) - k/12. Which is the third smallest value? (a) 3 (b) p (c) 0.4 a Let p = -29 - -38. Let v be 6/p + 5/(-6). Let u be (-1)/(-4) - (-5)/12. What is the third smallest value in -0.4, u, v? u Let f(u) = u**3 + u**2 - 27*u + 18. Let i be f(-6). Which is the fourth smallest value? (a) i (b) -6 (c) 2 (d) -0.4 c Suppose 7*u + 5*u - 120 = 0. Let f be -1*15/u + 1. Which is the biggest value? (a) 2/3 (b) 0.5 (c) f (d) -3/2 a Suppose -8*p = -18*p + 40. Which is the smallest value? (a) -4 (b) 1 (c) -0.06 (d) p a Let l = 17 - 14. Let m = 14 - l. Suppose 2*r + r = 4*w + m, 2*r + 4 = -3*w. What is the second biggest value in w, -3, 3/5? w Let z be (1/2)/(3 + 104/(-48)). Which is the fourth smallest value? (a) -2 (b) z (c) 4 (d) -2/9 c Let v = 2.3 + 0.7. Let u be (24/162)/((-26)/39). Let r = -0.41 - 16.59. What is the third biggest value in v, u, r? r Let m = -3.087 - -3.487. Which is the smallest value? (a) m (b) 1 (c) -80 c Let w = 5/2304 - -32029/16128. Let q be (-1)/(-2) - (-95)/60. Let v = w - q. What is the third biggest value in 0.3, v, -5? -5 Let f = 0.7 - -0.3. Let r = 0.626 - 0.626. What is the smallest value in -4/5, f, 0.3, r? -4/5 Let q be 20/30 - (-28)/(-33). What is the fourth smallest value in 11, 4, 0, q? 11 Let c = 2500/26691 + 2/1271. What is the third smallest value in c, 2, -19? 2 Let o = 88.5 - 20.5. What is the second biggest value in -0.2, 5, o? 5 Let g = -0.5 + 0.2. Suppose 4*q + 53*k - 52*k + 4 = 0, -5*q = 4*k + 16. What is the third biggest value in 1/3, g, q? g Let s = -20 + 19. Let v = 4 - -21. Let a = 9 - v. What is the biggest value in -0.3, s, a? -0.3 Let t = -5 + 2. Let n = -151597/12 + 12625. Let c = n + 31/4. What is the smallest value in 0, c, t? t Let w = -2429 - -2426. Which is the second smallest value? (a) 19 (b) w (c) 1/10 (d) -6 b Suppose -2*h + 6 = -4*o, -5*h + 5*o + 9 = o. Let r = 11 - 13. Let k be (r - -10)/((-12)/(-2)). What is the biggest value in h, k, 2? 2 Let f be (-14)/(-4)*(-31)/((-12369)/12). What is the smallest value in 6, 1/6, f? f Let m = -1254.98 + 1277. Let v = m + -22. What is the smallest value in 2/3, -0.1, v? -0.1 Let a = -9 + 15. Let j = a - 30. Let m = -24.2 - j. What is the biggest value in -2/9, 5, m? 5 Let z = 27 + -12. Let x = z - 19. Which is the fourth biggest value? (a) 0 (b) 2 (c) 5 (d) x d Let f = -755 + 758. What is the third biggest value in 0.2, -2.76, f? -2.76 Let u be (15 - (7 - 8)) + -5. Which is the biggest value? (a) 2 (b) u (c) 0.5 b Let o = 4.13 - 4. Let w = 4.14 + -0.01. Let n = w - o. What is the third smallest value in -5, 3, n? n Suppose 10*k = 406 - 416. Which is the third smallest value? (a) 5 (b) k (c) 40 c Suppose -j = j + 6, 3*j = 2*b - 7. Suppose 0 = 5*y - 4*n - 45, 2*y - 25 = 5*n - 2*n. Let f = 189 + -188. What is the second smallest value in b, f, y? f Suppose -6*s = -2*s - 4. Let l = s - -2. Suppose 40 = -0*i - l*i - 2*p, -3*p - 35 = 2*i. Which is the third smallest value? (a) i (b) -1/4 (c) 0.5 c Let k = -0.111 + -7.989. Let i = k + 8. What is the third biggest value in i, -5, -9? -9 Let k = -2/109 + 256/2071. Let q = 5.6 - 0.6. Which is the smallest value? (a) 4 (b) k (c) 2 (d) q b Let n = -0.637 - 0.363. Which is the third smallest value? (a) 1/3 (b) -4/3 (c) n (d) 0.5 a Let o = -512 - -510. Let s = 0.2 + -0.1. What is the second biggest value in o, s, 5, -2/9? s Let x = -945610 - -1613949. Let o = 147702641/221 - x. Let a = -24/17 - o. What is the smallest value in 5, a, -0.3? -0.3 Let r = 1060.9 - 1061. Which is the biggest value? (a) r (b) -215 (c) 2/9 (d) -4 c Let d = 0.2 + 0. Let x be -2*2 + (-1 - -9). Suppose l = x*p - p + 7, -4*l + 17 = -p. Which is the third biggest value? (a) d (b) l (c) -5 c Let m(v) = v**3 - 2*v**2 + v - 1. Let p be m(2). Let k be 2/(-14)*(-3 + p). Let i = -3781 - -3781.5. Which is the biggest value? (a) -6 (b) k (c) i c Let q = -5.5 - -5. Suppose -a - 4*h - 10 = 0, -5*a + 6*a + 2*h = 0. Let s(t) = -t**3 + 9*t**2 + 9*t + 8. Let w be s(a). What is the biggest value in q, 0.5, w? 0.5 Let v = 11.51 + -11.41. Which is the third smallest value? (a) 1/7 (b) v (c) 3/8 c Suppose 0 = 6*d - 4*d - 10. Let m be (d/20)/((-19)/(-8)). Let o be 2/4*7 - 2. Which is the biggest value? (a) -5/3 (b) o (c) m b Let v = 0 - -0.6. Let p = v - 1. Let j = 879.5 + -879. What is the second biggest value in -2, p, j? p Suppose 0 = -4*s + s. Suppose s = -3*h + h + 2. Let c be (((-8)/3)/h)/(-2). What is the second smallest value in -5, c, 4? c Let s = -117 + 118.85. Let p = s + 0.15. Let f = -5.02 + 0.02. Which is the biggest value? (a) p (b) f (c) 0 a Let y = 53 + -71. Let j be (-2)/(3*6/y). What is the second smallest value in j, 0.8, -1/4, 0.5? 0.5 Let k = 18.6 + 3.4. Let v = -25 + k. Which is the second smallest value? (a) -2 (b) v (c) 5 a Let c = 653 - 650. What is the smallest value in 147, -5, c? -5 Let a(u) = -u**3 - 6*u**2 + 3*u + 8. Let z be a(-6). Let l be z/(-18) - (-8)/(-24). What is the third biggest value in l, -3, 0.5, -5? -3 Let r = 1.1 - 3.6. Let q = -2.4 - r. Let g = -54 - -700/13. Which is the biggest value? (a) 1 (b) g (c) q a Let f = -36 + 47.5. Let w = -0.115 + -11.885. Let y = f + w. Which is the smallest value? (a) -2 (b) 0.2 (c) y a Let q = -2470 + 2465. Which is the second biggest value? (a) -4 (b) 26 (c) q (d) 2/7 d Let h = 569 + -569.15. Which is the fourth smallest value? (a) 5/4 (b) h (c) -0.2 (d) 2/11 a Let o = -61 + 61.8. Let w = o + 1. Which is the third biggest value? (a) -1/4 (b) w (c) 4 a Let r be (-132)/1122 - (-1)/(-136). Which is the fourth biggest value? (a) r (b) -3/5 (c) -0.3 (d) 0.05 b Let g = 83 - 88. W
{ "pile_set_name": "DM Mathematics" }
**3 - g + 0 + 24 with respect to y. 36*y**2 What is the derivative of 1121*b + 603269 + 497*b - 608516 wrt b? 1618 Let c be 23*27 - 4/(-12)*-3. Suppose 0 = -23*z + 18*z + c. Find the third derivative of z*q**6 - 235*q**6 + 33*q**2 + 117*q**6 wrt q. 720*q**3 Let w(v) be the third derivative of 0*v + 0*v**6 + 0*v**4 + 0 + 0*v**3 - 13/35*v**7 - 56*v**2 - 109/60*v**5. Find the third derivative of w(c) wrt c. -1872*c Let r be 6/4 + 1840/(-32). Let h = -46 - r. What is the derivative of -3 - 3 - 13*a - h wrt a? -13 Let i = -1541/24 + 65. Let x(f) be the third derivative of 1/12*f**5 + 0*f - i*f**4 - 5*f**2 + 0*f**3 + 0. Find the second derivative of x(l) wrt l. 10 Let l(k) be the third derivative of 149*k**7/840 - 151*k**4/24 - 31*k**3/6 + 3*k**2 + 3*k. Let p(g) be the first derivative of l(g). Differentiate p(w) wrt w. 447*w**2 Differentiate -3*p**2 + 41*p + 9883 - 11617 + 126*p + 5521 wrt p. -6*p + 167 Let c(w) be the first derivative of -12 + 25/2*w**2 + 0*w**3 - 1/12*w**4 - 29*w. Let h(j) be the first derivative of c(j). Differentiate h(r) wrt r. -2*r Let b(f) be the second derivative of 6 - 1/2*f**3 + f + 0*f**2 - 34/5*f**5 - 1/6*f**4. What is the third derivative of b(k) wrt k? -816 Find the third derivative of 439*o**2 + 8101 + 143*o**2 + 9*o**4 - 15*o**6 - 8101 wrt o. -1800*o**3 + 216*o Let x(f) be the first derivative of 0*f**3 - 1/2*f**2 + 52/5*f**5 + 126 + 0*f**4 - 19*f. What is the first derivative of x(s) wrt s? 208*s**3 - 1 Let y(q) = -2323*q - 1324. Let j(u) = -2326*u - 1327. Let g(m) = 6*j(m) - 7*y(m). What is the first derivative of g(w) wrt w? 2305 Let r(l) be the first derivative of -132*l**5/5 + l**4/4 - 5*l**3 + 2287*l**2/2 + 2134. Find the second derivative of r(j) wrt j. -1584*j**2 + 6*j - 30 Suppose 4*j - 16 = -4*j. What is the third derivative of 3 + 0 + 51*n**2 - 48*n**j + 21*n**4 wrt n? 504*n What is the derivative of 179152*n**2 + 952*n**4 - 179152*n**2 - 1136 wrt n? 3808*n**3 Let f(d) = -d**3 - 9*d**2 + d + 13. Let j be f(-9). Suppose 8 - j = 2*v. What is the third derivative of -565*n**5 + 0*n**v - 18*n**2 + 586*n**5 wrt n? 1260*n**2 Let x(c) = 2*c**5 + 1794*c**4 + 7180*c**2 + 8*c - 24. Let l(w) = -2*w**4 + w**2 - w + 3. Let b(y) = 8*l(y) + x(y). Find the third derivative of b(g) wrt g. 120*g**2 + 42672*g Let c(o) be the second derivative of 896*o**3/3 + 1116*o**2 + 2779*o. Find the first derivative of c(w) wrt w. 1792 Let w(q) be the first derivative of -699*q**6/2 + 1418*q**2 + 1555. What is the second derivative of w(s) wrt s? -41940*s**3 Let x(o) = -27*o + 621. Let g be x(23). Let q(l) be the first derivative of -11/4*l**4 + g*l**2 + 0*l + 7*l**3 + 2. Find the third derivative of q(w) wrt w. -66 What is the second derivative of -5995*o**2 + 5326 + 380*o**2 - 5406 + 10*o wrt o? -11230 Let p(d) = d**2 - 4*d - 39. Let k be p(9). Find the second derivative of 88*b + 9*b**3 - 34*b + k*b**3 + 52*b - 3*b**5 + 31*b wrt b. -60*b**3 + 90*b Let b be 7 + -4 + -3 + -17*1. Let l = b + 20. What is the second derivative of 52*z + 39*z - 116*z + 5*z**l wrt z? 30*z Let r(i) be the second derivative of -2536*i**4/3 - 6277*i**3/6 + i - 191. What is the second derivative of r(x) wrt x? -20288 Suppose -b + y = 2 - 9, -3*y = 2*b - 4. Find the third derivative of 3*q**2 + 90*q - 4*q**5 + 4*q**b - 45*q - 39*q - 17*q**4 - 3*q**6 wrt q. -360*q**3 - 408*q Let w(i) be the third derivative of -257*i**5/60 - i**4/24 + 365*i**3/3 + 2*i**2 + 572. What is the first derivative of w(f) wrt f? -514*f - 1 Let m(g) be the first derivative of 0*g**5 + g**2 + 0*g**3 + 0*g**4 + 21 + 7/15*g**6 - 19*g. Let a(y) be the first derivative of m(y). Differentiate a(x) wrt x. 56*x**3 Let d(r) = r**3 + 247*r**2 + 1722*r + 1. Let s(f) = 2*f**2 + 5*f + 1. Let i(j) = 2*d(j) - 2*s(j). Find the second derivative of i(k) wrt k. 12*k + 980 Let m(l) be the first derivative of -7777*l**6/6 + 7777*l**2/2 - 12237. Find the second derivative of m(f) wrt f. -155540*f**3 What is the third derivative of -882*h**6 - 17690*h**4 + 3*h**2 + 4 + 17690*h**4 wrt h? -105840*h**3 Let t(o) = o**3 + 7*o**2 - 3*o + 8. Let j be t(-6). Find the first derivative of j + d - 12*d + 2*d wrt d. -9 Let u = -55 - -57. What is the derivative of -44*j**2 - 107 + 3*j**u + 2*j**2 - 14*j**2 - 24*j**2 wrt j? -154*j Let r(d) = -d**2 + 10*d - 4. Suppose 0 = p - 5*p + 16. Let l be r(p). Find the second derivative of -5*z**3 + l + 11*z - 20 wrt z. -30*z Let u(h) be the third derivative of -14*h + 0 + 0*h**4 + h**2 + 137/3*h**3 - 8/5*h**5. What is the derivative of u(w) wrt w? -192*w Let w(s) be the third derivative of -3647*s**5/20 - 11*s**4/24 + 47*s**3/6 - 5*s**2 - 488*s. What is the second derivative of w(l) wrt l? -21882 Let m be (2 - 4)/(6/(-15)). Find the second derivative of 37*t**5 + 29*t**5 - 58*t + 181*t - 114*t**m wrt t. -960*t**3 What is the third derivative of 683*k**3 - 5 - 1 + 12 + 1793*k**3 + 53*k**2 wrt k? 14856 Let t(k) be the second derivative of 25*k + 0 - 8*k**2 + 20/3*k**3. Differentiate t(u) wrt u. 40 Let a(h) = -4*h + 17. Let z be a(3). What is the second derivative of 0*t + 10*t - 3 - 2*t + 1557*t**5 - 24*t**3 - 1556*t**z wrt t? 20*t**3 - 144*t Let b be ((-23)/2)/(2599/(-452)). Let t(c) be the first derivative of 31/2*c**b - 14/3*c**3 - 13 + 0*c. What is the second derivative of t(o) wrt o? -28 Find the third derivative of -25*m**4 - 1098*m**3 + 197*m**2 + 21*m**4 + 2*m - 8 - 78*m**2 + 0 - 3*m wrt m. -96*m - 6588 Let s(a) be the second derivative of -a**8/56 + 73*a**6/15 - a**4/2 - 71*a**2/2 - 2841*a. Find the third derivative of s(v) wrt v. -120*v**3 + 3504*v Let v(d) be the second derivative of 3443*d**5/20 + 269*d**4 + 2225*d. What is the third derivative of v(t) wrt t? 20658 Let n(g) be the third derivative of -g**8/84 - 67*g**6/15 + 37*g**5/60 + 5*g**3/6 + 3212*g**2. Find the third derivative of n(b) wrt b. -240*b**2 - 3216 Let j(o) = -40*o + 5. Let q = 49 - 51. Let f(a) = -159*a + 21. Let g(l) = q*f(l) + 9*j(l). Differentiate g(y) with respect to y. -42 Differentiate 1612 - 3*b**4 + 1370*b**2 - 1370*b**2 - 31*b**3 + 7*b**4 with respect to b. 16*b**3 - 93*b**2 Let w be ((-14)/11)/7 + (-134)/(-11). Suppose -27*o = -23*o - w. What is the second derivative of -5*z - 12*z - o*z**2 - 8*z**2 + 4*z**2 wrt z? -14 Let t(k) be the third derivative of 0 - 7/10*k**6 + 0*k**5 + 3*k - 26/3*k**3 + 0*k**4 + 3*k**2. What is the first derivative of t(r) wrt r? -252*r**2 Find the first derivative of -289 - 3626*z + 1043 + 111 wrt z. -3626 Let j(i) be the second derivative of -21*i**5/20 + 7*i**4/12 + i**3/6 + 675*i**2/2 + 389*i. Find the second derivative of j(o) wrt o. -126*o + 14 Let r(s) be the third derivative of 297*s**6/40 - 256*s**3 + 21*s**2 + 9*s. What is the first derivative of r(n) wrt n? 2673*n**2 Let w(t) = -t**3 + 6*t - 4. Let v be w(-3). What is the second derivative of -8*p**v - 12*p - 14*p + 0*p + 0*p**3 - 3*p**3 wrt p? -160*p**3 - 18*p Let t(g) be the third derivative of g**7/6 + g**6/120 - 13*g**4/12 + 2*g**3/3 + 2*g**2 - 70*g + 2. Find the second derivative of t(i) wrt i. 420*i**2 + 6*i Let y(j) = 2*j**2 - j - 1. Suppose -38*r = -0 - 38. Let u(g) = -72*g**2 + 82*g - 7. Let i(n) = r*u(n) - 5*y(n). Find the second derivative of i(p) wrt p. -164 Suppose -2*t = 0, -3*b + 6*t - 3*t + 135 = 0. Suppose 113*r - 108*r - b = 0. Find the second derivative of r*w + 38*w - 7*w + 19*w**4 wrt w. 228*w**2 Let d(q) be the third derivative of -q**5/60 - 23*q**4/24 + 25*q**3/6 + 2*q**2. Let u be d(-24). What is the derivative of -35*c + 12*c + 2 - u wrt c? -23 Suppose -8*n + 258 = -14*n. Let q = n + 46. Differentiate -3 + 5*x**q - 2*x**3 + 2 with respect to x. 9*x**2 Let c = 386 - 382. Find the third derivative of -196*k**2 + 145*k**2 - 1 - 28*k**c + 171*k**4 wrt k. 3432*k Let k(m) be the second derivative of -161/3*m**3 + 0 + 23/3*m**6 + 0*m**4 + 0*m**2 - 301*m + 0*m**5. Find the second derivative of k(a) wrt a. 2760*a**2 What is the second derivative of -5579*n + 883*n**2 - 2416*n**2 - 5324*n**2 + 77*n wrt n? -13714 Let p(a) = 4536*a**4 + 22*a**3 + 11*a - 9654. Let j(w) = -909*w**4 - 4*w**3 - 2*w + 1931. Let k(x) = -11*j(x) - 2*p(x). Find the first derivative of k(n) wrt n. 3708*n**3 Let f(b) be the first derivative of 24*b**5 - 2*b**3/3 - 395*b - 736. Differentiate f(j) wrt j. 480*j**3 - 4*j
{ "pile_set_name": "DM Mathematics" }
/60*o**5 + 11/240*o**6 + 0*o**3 + 1/3*o**4 + 1/420*o**7 + 0*o + 125*o**2. Factor k(b). b*(b + 1)*(b + 2)*(b + 8)/2 Let s(c) be the second derivative of -13*c**6/240 + 11*c**5/160 + c**4/48 + 33*c - 24. Factor s(k). -k**2*(k - 1)*(13*k + 2)/8 Let d(w) be the first derivative of 4*w**3/9 + 77*w**2/3 + 120*w + 4074. Factor d(s). 2*(s + 36)*(2*s + 5)/3 Let w(l) be the first derivative of -4*l**5/35 - 3261*l**4/7 - 3546880*l**3/7 - 5313800*l**2/7 - 5531. Let w(t) = 0. What is t? -1630, -1, 0 Suppose -188*w = -186*w - 4. Determine h so that 8 - 104*h - 8 + 64*h - 5*h**w = 0. -8, 0 Let i(n) = -5*n**3 - 2*n**2 - 18*n + 113. Let p be i(6). Let x = -2279/2 - p. Factor 39/2*b - x*b**2 - 3/2*b**3 - 21/2. -3*(b - 1)**2*(b + 7)/2 Let u(c) be the first derivative of c**5/4 - 25*c**4/12 - 5*c**3 - 8*c - 15. Let a(y) be the first derivative of u(y). Factor a(p). 5*p*(p - 6)*(p + 1) Find q such that 807 - 7257/2*q - 27/2*q**2 = 0. -269, 2/9 Let a(w) be the second derivative of -w**4/126 - 400*w**3/63 - 83*w - 9. Find y such that a(y) = 0. -400, 0 Suppose 12196780 + 15088894 + 3*b**2 - 5741*b - 10292474 + 0*b**2 - 8539*b = 0. What is b? 2380 Let j(m) be the third derivative of m**7/315 - m**6/90 - 4*m**5/45 + m**4/2 - m**3 + 653*m**2. Factor j(v). 2*(v - 3)*(v - 1)**2*(v + 3)/3 Let o(j) be the first derivative of -j**5/12 + 25*j**4/8 + 85*j**3/3 - 42*j**2 + 42. Let s(q) be the second derivative of o(q). Factor s(g). -5*(g - 17)*(g + 2) Let z be -4*(-3)/(4 - -2). Factor -35*s**2 - 33*s**2 - 9*s + 98*s**z - 29*s**2. s*(s - 9) Let p(m) be the first derivative of -3/14*m**2 + 226 + 9/7*m - 5/21*m**3 - 1/28*m**4. Determine b so that p(b) = 0. -3, 1 Let i(a) = -2938*a - 41128. Let m be i(-14). Let 3/4*h**5 + 0*h**2 + 0*h + 3/4*h**m + 0 - 9/2*h**3 = 0. Calculate h. -3, 0, 2 Suppose 40*m = 38*m - 3*n + 30, -m = 25*n - 203. Let 0*p - 25*p**4 + 10/3*p**m - 40/3*p**5 + 0 + 0*p**2 = 0. Calculate p. -2, 0, 1/8 Let q(f) = -9*f**3 + 1372*f**2 + 8365*f + 12601. Let z(o) = 5*o**3 + 4*o**2 - o - 1. Let c(l) = q(l) + z(l). Find y such that c(y) = 0. -3, 350 Let i(f) be the third derivative of -f**6/30 - 94*f**5/15 + 1463*f**4/6 - 3528*f**3 - 4*f**2 + 51*f. Determine v so that i(v) = 0. -108, 7 Factor -2/7*g**2 - 120/7*g + 54. -2*(g - 3)*(g + 63)/7 Let h(z) be the first derivative of -87 + 0*z - 3/28*z**4 + 2/7*z**3 + 0*z**2 - 3/35*z**5. Let h(b) = 0. What is b? -2, 0, 1 Let c = -442325/19 - -23281. Find r such that c*r - 2/19*r**4 - 14/19*r**3 - 18/19*r**2 + 20/19 = 0. -5, -2, -1, 1 Let a(g) = -22*g**3 + 116*g**2 - 456*g - 603. Let p(b) = 5*b**3 - 29*b**2 + 114*b + 150. Let i(t) = -2*a(t) - 9*p(t). Determine j, given that i(j) = 0. -1, 6, 24 Let s(p) be the second derivative of 41/18*p**3 + 1/90*p**6 - 41/60*p**5 + 0*p**2 + 0 - 1/36*p**4 + 223*p. Let s(v) = 0. What is v? -1, 0, 1, 41 Let z(j) = -19*j**2 + 736*j - 741. Let w(n) = 15*n**2 - 735*n + 738. Let o(m) = 4*w(m) + 3*z(m). Determine f, given that o(f) = 0. 1, 243 Let h(w) = 3*w + 72. Let q(d) = d**3 - 18*d**2 + 47*d - 54. Let m be q(15). Let x be h(m). What is y in x - 2/7*y**2 - 2/7*y**3 + 4/7*y = 0? -2, 0, 1 Suppose -82*f - 2*m + 20 = -77*f, -21 = 2*f - 5*m. Find z, given that -17/4*z - 1/4*z**f + 0 = 0. -17, 0 Let n = -1/9226 - 3141443/92260. Let r = 137/4 + n. Factor 1/5*w**3 + 0*w - 1/5*w**4 + 0 - 1/5*w**5 + r*w**2. -w**2*(w - 1)*(w + 1)**2/5 Factor 246/11*s**2 + 0 + 2/11*s**3 + 0*s. 2*s**2*(s + 123)/11 Suppose 3*p = 5*f + 54, 4*p - 26*f - 72 = -29*f. Let c(j) = -j**3 - j**2 + 2*j + 2. Let u be c(-2). What is s in 242*s + 2*s**2 - 2 - u + p - 258*s = 0? 1, 7 Let i(h) be the third derivative of -h**5/12 + 4345*h**4/24 + 4355*h**3/3 + 4*h**2 - 124. Factor i(w). -5*(w - 871)*(w + 2) Factor -38*f - 6*f**3 - 23*f + 9*f - 96 + 8*f**2 + 2*f**3 + 32*f**2. -4*(f - 8)*(f - 3)*(f + 1) Let l = 60621 - 60619. Factor -24/5*s + 0 - 3/5*s**l. -3*s*(s + 8)/5 Suppose 3 = -116*w + 117*w. Let 71*k + 18*k**2 + 12 + 2*k**4 - 14*k**w - 189*k + 0*k**4 + 84*k + 16*k**2 = 0. What is k? 1, 2, 3 Let w be (21/35)/((-39)/52 - 123/(-100)). Factor -11/4*y**2 - 1/4*y**4 - 7/4*y**3 - w*y + 0. -y*(y + 1)**2*(y + 5)/4 Let t(b) be the third derivative of b**6/72 + 5*b**5/12 + 10*b**4/3 - 32*b**3/3 - 53*b**2. Let f(v) be the first derivative of t(v). Solve f(z) = 0 for z. -8, -2 Let u(v) = 19*v**4 + 44*v**3 + 11*v**2 - 19*v. Let o(t) = -9*t**4 - 20*t**3 - 5*t**2 + 8*t. Let j(q) = 5*o(q) + 2*u(q). Let j(x) = 0. What is x? -1, 0, 2/7 Let u(g) be the first derivative of -5*g**7/56 + 7*g**6/12 - 11*g**5/10 + g**4 + g**3/3 + 142*g + 262. Let i(b) be the third derivative of u(b). Factor i(d). -3*(d - 2)*(5*d - 2)**2 Let q(f) = f**3 + 5*f**2. Let p be q(0). Let m be p/((-8)/(-4)) + (-38)/(-76). Suppose -m*x**2 + 3/4 + 1/4*x = 0. What is x? -1, 3/2 Let v(r) be the first derivative of 2*r**3/27 + 118*r**2/9 + 26*r + 1473. Find g, given that v(g) = 0. -117, -1 Suppose -2*v = -4*d + 92 - 36, 0 = 3*d + 3*v - 24. Let h be (-15)/(-4) + 6/(-8). Find i such that 3 + d*i**4 - 6 + 6 + 111*i**2 - 63*i**h + 9 - 72*i = 0. 1/4, 1, 2 Suppose -1221*x**2 - 156*x + 304 + 615*x**2 + 608*x**2 = 0. Calculate x. 2, 76 Let h be (5/2)/(30855/65076). Let 390/11*m - h*m**2 + 450/11 + 2/11*m**3 = 0. What is m? -1, 15 Let l(q) be the third derivative of q**6/90 - 101*q**5/90 + 49*q**4/36 + 50*q**3/9 - 1709*q**2. Let l(b) = 0. What is b? -1/2, 1, 50 Suppose -3*v + 100 = 2*v. Suppose -2*l = -3*l - 1 + 3. Find q, given that 9*q + v*q + 6 - 21*q + l*q**2 = 0. -3, -1 Let b(v) = 15*v - 25. Let t be b(2). Factor 13*k**t + 241*k**2 - 47*k**4 - 19*k**3 - 3*k**5 - 80 - 81*k**2 - k**3 - 80*k + 12*k**4. 5*(k - 2)**3*(k + 2)*(2*k + 1) Factor 10129*o**3 + 3978375*o + 10134*o**3 + 682954375 - 20258*o**3 + 7725*o**2. 5*(o + 515)**3 Let -34/21*l**3 + 4/21*l**4 + 12/7*l**2 + 46/21*l - 4/3 = 0. Calculate l. -1, 1/2, 2, 7 Let w = 341210 - 341207. Suppose 8/3*c**2 - 2/3*c**w + 0 - 8/3*c = 0. What is c? 0, 2 Let s(k) be the first derivative of -k**5/540 - k**4/27 - 7*k**3/54 - k**2 - 3*k - 60. Let g(i) be the second derivative of s(i). Factor g(t). -(t + 1)*(t + 7)/9 Let z(a) be the second derivative of -1/6*a**4 + 1/20*a**5 + 42*a - 5/2*a**3 + 0 + 18*a**2. What is f in z(f) = 0? -4, 3 Suppose 2*l - 56 = -12*l. Factor 3*x + 0*x - 2 + 8*x + 17*x**2 + l*x. (x + 1)*(17*x - 2) Factor -15 - 1/2*f**3 + 3*f**2 + 1/2*f. -(f - 5)*(f - 3)*(f + 2)/2 Let n(h) be the first derivative of -50/3*h**3 - 50*h + 10*h**4 - 5/6*h**6 + 35 - 115/2*h**2 + 4*h**5. Solve n(d) = 0 for d. -1, 2, 5 Let g be (-1)/(0 - (-4 - -7 - 4)). Let y be 28/(-7) - g*(-1 - -5). Suppose 0 + 1/4*b**4 + y*b**2 + 1/4*b**3 + 0*b = 0. Calculate b. -1, 0 Suppose -5 = 5*p, 3 = -3*r - 3*p - 0*p. Let j be ((0 - 0/3) + 2)*(-100)/((-7400)/111). Suppose 10/17*x**2 + 2/17*x**4 - 8/17*x**j - 4/17*x + r = 0. Calculate x. 0, 1, 2 Suppose -576*x - 76 - 64 = -611*x. Factor -1/2*r**2 - 1/4*r**3 + 1/4*r**x + 0 + 0*r. r**2*(r - 2)*(r + 1)/4 Let n(z) be the second derivative of 223*z**4/12 + z**3/3 + z**2 - z. Let x be n(-1). Factor -9*v**3 - 12*v + 0*v - x*v**2 + 199*v**2. -3*v*(v + 2)*(3*v + 2) Let s(a) = a**3 + 6*a**2 + 33*a + 102. Let t be s(-4). Let u(h) = 2*h + 1. Let b be u(0). Factor -b + 1/4*z**t - 3/4*z. (z - 4)*(z + 1)/4 Let d = 17982 + -17978. Let t(u) be the third derivative of 0*u**5 + 21*u**2 + 0*u**3 - 1/140*u**6 + 1/21*u**d + 1/735*u**7 + 0*u + 0. Factor t(o). 2*o*(o - 2)**2*(o + 1)/7 Let o(y) = -y**2 + 22. Let l be o(-5). Let f be 5 - ((l + 2)/(-1) - 0). Factor 0*t**3 + 0 + 1/5*t**2 + 0*t - 1/5*t**f. -t**2*(t - 1)*(t + 1)/5 Let a(d) be the third derivative of -33*d**2 + 0*d + 0*d**3 + 5/96*d**4 + 0 - 1/240*d**5. What is r in a(r) = 0? 0, 5 Let q(a) be the first derivative of -a**4/7 - 68*a**3/21 - 24*a**2 - 432*a/7 - 3567. Solve q(s) = 0 for s. -9, -6, -2 Let b be (-74)/26 - (-12 - -9). Let w be (-6 - 790/(-130))*121 + -9. Solve -6/13*d**3 + b*d**5 - 10/13*d**2 + 2/13*d**4 - w*d + 0 = 0. -1, 0, 2 Factor 722/5*p - 1/5*p**2 - 130321/5. -(p - 361)**2/5 Let i(u) be the second derivative of u**7/252 + u**6/15 + 2*u**5/5 + 41*u**4/36 + 7*u**3/4 + 3*u**2/2 - 54*u - 12. Solve i(j) = 0 for j. -6, -3, -1 Let k be 37/111 - (-48)/(-9). Let g be 1*(-2)/5*k. Factor 1/6*y**g - 1/6 - 1/6*y + 1/6*y**3. (y - 1)*(y + 1)**2/6 Let x(l) be the third derivative of -1/12*l**3 - 1
{ "pile_set_name": "DM Mathematics" }
rivative of 31*a**5/60 - 50*a**2. Determine h(o(u)). -1922*u**4 Let s(i) = -6*i**2. Let w(n) = 199*n**2. Calculate w(s(g)). 7164*g**4 Let i(d) be the third derivative of d**5/15 + 7*d**3/6 + 3*d**2. Let g(v) = -v**2 - 2. Let h(y) = -14*g(y) - 4*i(y). Let p(b) = -6*b. Calculate h(p(z)). -72*z**2 Let q(d) = 54*d. Let f(c) = 31*c**2. What is q(f(u))? 1674*u**2 Let r(g) = -g. Let x(a) = -3*a**2 - 51. What is r(x(c))? 3*c**2 + 51 Let u(a) = 9*a**2. Let f(c) = -26*c. Calculate f(u(t)). -234*t**2 Let z(c) = 6*c**2 - 10*c**2 + 1 - 1. Let a(d) = 4*d. Determine a(z(u)). -16*u**2 Let n(x) = -11*x**2. Let f(y) = -28*y**2 + 2*y. Determine f(n(a)). -3388*a**4 - 22*a**2 Let b(l) = 2*l. Let g(n) = -13 + 13 - 31*n**2. Calculate g(b(v)). -124*v**2 Let f(n) = 2*n**2. Suppose 3*a - 13 = 4*a - 4*i, -1 = 5*a - 4*i. Let x(r) = -4*r**2 + 3*r**2 - a*r**2. Calculate x(f(y)). -16*y**4 Let b(y) = 11*y**2. Let u(c) = 18*c**2. What is b(u(r))? 3564*r**4 Let v(i) = -2*i. Let d(p) be the second derivative of p**7/1260 + p**4/6 - p. Let l(a) be the third derivative of d(a). Determine l(v(z)). 8*z**2 Let t(n) = n. Let k(h) = 4*h + 2. Let v(f) = -5*f - 3. Let d(o) = 6*k(o) + 4*v(o). Give t(d(c)). 4*c Let s(h) = 10*h**2. Let j(z) = -z - 2. Let i(q) = 2*q + 3. Let k(b) = -2*i(b) - 3*j(b). Give k(s(p)). -10*p**2 Let y(c) be the third derivative of 0*c**4 + 1/60*c**5 + 2*c**2 + 0*c + 0*c**3 + 0. Let b(k) be the third derivative of -k**4/24 + k**2. What is b(y(s))? -s**2 Let o(t) be the second derivative of t**3/6 - 3*t. Let v = 1 - -2. Let l(f) = -5*f + v*f + 4*f - 4*f. Give l(o(x)). -2*x Let t(z) be the second derivative of z**3/3 + 2*z. Let q(a) = 3*a + 2. Let u(s) = -12*s - 9. Let x(i) = 9*q(i) + 2*u(i). What is t(x(y))? 6*y Let q(o) = o**2. Let b(i) = 8637*i. Determine b(q(d)). 8637*d**2 Let z(j) = -796*j**2. Let r(y) = 2*y. Determine z(r(m)). -3184*m**2 Let k(w) = 14*w**2 - 5. Let t(x) = -3*x**2. What is k(t(b))? 126*b**4 - 5 Let s(d) = -37*d**2. Let t(v) = 24*v**2 - 9*v**2 - 17*v**2. Give s(t(k)). -148*k**4 Let u(v) = -v. Let g(k) = k + 1. Let i(w) = 20*w + 12. Let m(z) = -12*g(z) + i(z). Give m(u(f)). -8*f Let m(y) = -7*y + 6. Let s(v) = -8*v + 7. Let t(i) = -7*m(i) + 6*s(i). Let g(o) = 3*o - 50 + 50. Calculate g(t(h)). 3*h Let i(r) = r. Let l(o) = -o - 6. Let u(f) = -f - 5. Let x(t) = -5*l(t) + 6*u(t). Determine x(i(b)). -b Let n(y) = -220 + 5*y + 220 - 4*y. Let f(t) = 9*t. Calculate f(n(p)). 9*p Let t(p) = -2905*p**2. Let y(u) = 12*u**2. Give t(y(a)). -418320*a**4 Let j(k) = 2*k**2. Let r(b) = -4*b**2 + 8. Give j(r(n)). 32*n**4 - 128*n**2 + 128 Let b(c) = -c**2. Let n(u) = 2. Let f(q) = q**2 - 1. Let k(m) = -6*f(m) - 3*n(m). Give k(b(l)). -6*l**4 Let g(a) = -a. Let u(q) be the third derivative of 0 + 0*q + 1/24*q**4 + 0*q**3 - 3*q**2. Give u(g(i)). -i Let s(o) = 1875 + 6*o - 1875. Let a(d) be the second derivative of 1/12*d**4 + 0 + 2*d + 0*d**2 + 0*d**3. Give s(a(l)). 6*l**2 Let c(b) = -3*b. Suppose 0*n - n = 4*n. Let d(y) be the third derivative of 0*y**4 + 1/60*y**5 + 0*y + 3*y**2 + n*y**3 + 0. Give c(d(x)). -3*x**2 Let u(s) = 7*s**2. Let q(w) = 19*w. Give u(q(p)). 2527*p**2 Let r(i) = -i**2 - 5 + 5. Let j(q) be the first derivative of q**3 + 38. What is j(r(u))? 3*u**4 Let m(o) = 43*o**2. Let p(c) = 5*c**2. Determine m(p(l)). 1075*l**4 Let k(x) = 3*x**2 + 4*x**2 - 5*x**2. Let f(z) be the third derivative of -z**6/180 + z**3/6 - 3*z**2. Let t(l) be the first derivative of f(l). What is k(t(p))? 8*p**4 Let n(h) = 2*h - 2*h - 5*h**2 + 8*h**2. Let d(s) = 2*s**2. What is d(n(f))? 18*f**4 Let u(i) = 2*i**2. Let m(z) = -2*z + 680. Calculate m(u(b)). -4*b**2 + 680 Let h(z) = z**2 - z + 1. Let f(d) = 6*d**2 - 5*d + 5. Let s(b) = f(b) - 5*h(b). Suppose -4*p - 4 = -5*p. Let y(m) = m - m - 5*m + p*m. Give s(y(g)). g**2 Let s(q) = 18*q**2. Let t(v) = 17*v**2 - 16*v. Calculate t(s(u)). 5508*u**4 - 288*u**2 Let d(p) = p**3 + 7*p**2 + 5*p + 3. Let m be d(-6). Let s(j) = 8*j + m*j - 18*j. Let w(q) = 2*q. What is w(s(y))? -2*y Let r(j) = -2 + 2 - 2*j**2. Let i(y) = -2*y + 0*y + 0*y. Let q(d) = -d. Let s(k) = i(k) - q(k). Calculate s(r(z)). 2*z**2 Let o(j) = 2*j. Let i(k) = 4*k + 3. Let r(v) = 9*v + 7. Let f(q) = -14*i(q) + 6*r(q). Determine o(f(t)). -4*t Let m(o) = -2*o. Let a(j) = 4*j - 66. Calculate a(m(h)). -8*h - 66 Let u(x) = -2*x**2. Let g(r) be the third derivative of 2*r**2 + 0*r + 1/6*r**4 + 0 + 0*r**3. Give g(u(y)). -8*y**2 Let y(n) = 2*n. Let q(b) = 17*b + 152. Calculate y(q(r)). 34*r + 304 Let o(d) = d - 1. Let v(l) = 3*l - 2. Let s(z) = 2*o(z) - v(z). Let g(p) be the first derivative of 0*p**2 + 2 + 0*p - 2/3*p**3. Determine g(s(f)). -2*f**2 Let f(x) = -2*x**2. Let l(q) = -12*q**2. Determine f(l(y)). -288*y**4 Let m(a) = -a + a - a + 0. Let q(u) be the second derivative of u**5/30 - u**2/2 - 2*u. Let b(t) be the first derivative of q(t). Give m(b(i)). -2*i**2 Let b(p) = -p**2 + p. Let g(y) = 48*y**2. Determine b(g(k)). -2304*k**4 + 48*k**2 Let f(a) = 2*a. Let r be (-19)/(-4) - 3/(-12). Let n(v) = -v - v - r*v. Give n(f(d)). -14*d Let t(c) = 2*c**2. Let d(l) = 2*l**2 + 3*l. Let r(j) = 3*j**2 - j. Let q(o) = -o. Let p(u) = 6*q(u) - r(u). Let v(a) = -5*d(a) - 3*p(a). What is v(t(x))? -4*x**4 Let v(d) = d. Let o(g) = 27*g - 9*g + 9*g + 4*g. What is o(v(c))? 31*c Let r(l) = 9*l**2 + 5*l + 5. Let q(c) = -5*c**2 - 3*c - 3. Let u(i) = 5*q(i) + 3*r(i). Let w(x) = -12*x. Determine u(w(t)). 288*t**2 Let p(i) = 13*i - 9*i - 6*i. Let q(w) be the first derivative of 0*w + 0*w**2 - 2/3*w**3 - 2. Give p(q(j)). 4*j**2 Let s(f) = 5*f. Let d(l) = -l**2 + l + 1. Let h(r) = -8*r**2 + 7*r + 7. Let m(q) = -14*d(q) + 2*h(q). What is m(s(p))? -50*p**2 Let y(p) = 4*p + 5. Suppose -4*l - 9 = -57. Let d(f) = 6 + 5*f + 6 + 5*f. Let r(c) = l*y(c) - 5*d(c). Let o(z) = 4*z. Calculate o(r(m)). -8*m Let z(u) = u**2 - 458. Let d(s) = -2*s. Calculate z(d(n)). 4*n**2 - 458 Let y(m) be the first derivative of -m**2/2 - 11. Let k(i) be the second derivative of 1/12*i**4 + 0*i**3 + 0*i**2 - 2*i + 0. Determine k(y(s)). s**2 Let p(f) be the second derivative of 7*f**3/6 - 2*f. Let h(a) = 2*a. Let c(r) = r. Let i(x) = 3*c(x) - 2*h(x). Determine i(p(v)). -7*v Let z(w) = w - 1. Let v(o) = -46*o - 2. Let n(t) = -v(t) + 2*z(t). Let a(j) = 2*j. What is a(n(b))? 96*b Let p(s) = -s - 7. Let c(g) = -g - 6. Let i(n) = -7*c(n) + 6*p(n). Let b be (-2 + 0 - 2)/(-1). Let j(w) = -b*w + 5*w - 4*w. Calculate j(i(t)). -3*t Let k(t) = -15*t - 2. Let v(h) = 4*h. Give v(k(l)). -60*l - 8 Suppose 0*x = -3*x - 3*r - 3, -11 = -4*x - r. Let y(m) = -2*m + x - 4. Let c(w) = 2*w**2 - 7*w**2 - 80 + 80. Determine c(y(a)). -20*a**2 Let t(v) = 436*v. Let i(o) = o**2. Calculate t(i(b)). 436*b**2 Suppose -2*m + 1 = -5, -7 = f - 3*m. Let t(l) = l**f + 4*l**2 - l**2. Let p(u) = 2*u. Calculate t(p(o)). 16*o**2 Let q(p) = 6*p**2 + 7*p - 7. Let x(l) = -4*l**2 - 5*l + 5. Let h(t) = 5*q(t) + 7*x(t). Let d(k) = -3*k. Determine h(d(m)). 18*m**2 Let p(b) = -27*b. Let y(i) = -i. Let d(q) = 6*q. Let l(m) = d(m) + 4*y(m). What is p(l(c))? -54*c Let t(j) = -6*j**2. Let p(l) be the second derivative of -l**4/6 + 7*l. Calculate t(p(n)). -24*n**4 Let z(l) = -l. Let k(a) = -2*a**2 + 125 - 125. Give z(k(q)). 2*q**2 Let q(d) = 6*d + 2. Let k(c) = 19*c + 7. Let b(j) = 2*k(j) - 7*q(j). Let l(h) = 2*h**2. Determine b(l(u)). -8*u**2 Let r(l) be the first derivative of 3*l**2/2 - 1. Let w(p) = 0*p + 7*p - 8*p. Determine r(w(n)). -3*n Let t(r) = 2*r**2 - 5*r**2 + 2*r**2. Suppose -3*w + 4*w - 2 = 0. Let z(f) = -2*f**w + 2 - 2. What is z(t(s))? -2*s**4 Let s(t) = 22*t + 2. Let r(j) = -2*j. Determine s(r(o)). -44*o + 2 Suppose 4*a + s - 2 = 9, 4*a - s - 5 = 0. Let q(x) = -2*x**2 + a - 2. Let j(h) be the third derivative of h**4/8 + h**2. Calculate j(q(o)). -6*o**2 Let g(b) = -17*b**2 + 2*b + 4. Let r(x) = x**2. Calculate g(r(z)). -17*z**4 + 2*z**2 + 4 Let c(s) = 302*s**2. Let n(a) = -3*a**2. Calculate n(c(b)). -273612*b**4 Suppose 4*x = 2*x + 6. Let d(b) = -3*b + x*b + 2*b. Let y(t) = -3 - t**2 - 1 + 4. What is y(d(j))? -4*j**2 Let n(d) = -d**2 - d. Let g = -6 - 0. Let z(h) = 4*h**2 + 6*h. Let q(b) = g*n(b) - z(b). Let i(p) = -4*p. Determine i(q(v)). -8*v**2 Let t(j) = 28*j**2 + 7*j + 7. Let f(o) = 9*o**2 + 2*o + 2. Let c(w) = 7*f(w) - 2*t(w). Let q(y) = -y**2. Calculate q
{ "pile_set_name": "DM Mathematics" }
t is -7 - -63c6? 63bc In base 10, what is -46 + 4185? 4139 In base 7, what is -342 - 365? -1040 In base 2, what is 0 + -10101011111110? -10101011111110 In base 13, what is -1 - 4506? -4507 In base 13, what is -1 - -20790? 2078c In base 6, what is 13232 - 503? 12325 In base 15, what is -38 + -48? -81 In base 12, what is -4 + 5987? 5983 In base 11, what is 3 + -28a429? -28a426 In base 10, what is -110 - 21? -131 In base 14, what is -3948 + -154? -3a9c In base 10, what is 44 + 8? 52 In base 10, what is -20148 - 2? -20150 In base 13, what is -16c09 + 4? -16c05 In base 3, what is -12 + -101120020? -101120102 In base 6, what is -135010310 - 2? -135010312 In base 8, what is 2266 - 52? 2214 In base 16, what is 20 - 240a? -23ea In base 13, what is -5b4 - -54? -560 In base 3, what is 2 + 201200010? 201200012 In base 12, what is 462 + -13a? 324 In base 13, what is a2 + -26? 79 In base 2, what is 1001 + -101000010000001? -101000001111000 In base 10, what is -10557 - -1? -10556 In base 16, what is -8b0 - 3? -8b3 In base 6, what is -2 - -133050? 133044 In base 9, what is -2482 - 16? -2508 In base 9, what is 2 + -2775173? -2775171 In base 2, what is 101000001 - -1011110010010? 1100011010011 In base 10, what is 12 - -5540? 5552 In base 7, what is 5 + 155403? 155411 In base 10, what is -75690 + 4? -75686 In base 16, what is -38 - 3aa? -3e2 In base 15, what is -161e4 - -4? -161e0 In base 7, what is 16664564 + 5? 16664602 In base 14, what is 434 + 74? 4a8 In base 8, what is -24023 - 2? -24025 In base 6, what is -11 - -1252140? 1252125 In base 9, what is 15542 - 0? 15542 In base 13, what is 368 + 4141? 44a9 In base 11, what is 3 - 43786? -43783 In base 12, what is 2 + 7147? 7149 In base 10, what is 34430 + -21? 34409 In base 6, what is -34 - -51313? 51235 In base 13, what is -c + -325b3? -325c2 In base 10, what is 56 - -29? 85 In base 2, what is 1000001111 + 111011? 1001001010 In base 16, what is -1cd7e + -3? -1cd81 In base 9, what is 32710 + -15? 32684 In base 5, what is 22 + 1103124? 1103201 In base 3, what is 1202122 - -1102? 1211001 In base 13, what is 18 - -1291? 12a9 In base 14, what is 345aad + -3? 345aaa In base 4, what is -10 - -1003130? 1003120 In base 12, what is -20aa - -17? -2093 In base 5, what is 100 - -1202123? 1202223 In base 4, what is -10233 + 30230? 13331 In base 6, what is 204435 - 231? 204204 In base 9, what is 4 - 23432? -23427 In base 6, what is 52230 - 220? 52010 In base 6, what is 4153303 + -2? 4153301 In base 13, what is -2c9 - 3b? -337 In base 12, what is 2497 + -2? 2495 In base 15, what is 17e8 + -11? 17d7 In base 5, what is 144 - -322424? 323123 In base 14, what is 26 - 8? 1c In base 10, what is 1 + 50800? 50801 In base 2, what is 11 + 11000000111000? 11000000111011 In base 11, what is 190 + -22a7? -2117 In base 14, what is -35bd1 + -6? -35bd7 In base 5, what is 10041004 - -1? 10041010 In base 3, what is -22102001 - 11021? -22120022 In base 9, what is -22414 - 4? -22418 In base 10, what is -11990 - 24? -12014 In base 12, what is 15 + 35761? 35776 In base 10, what is -38 + 11185? 11147 In base 3, what is 112210021 + 102? 112210200 In base 15, what is -e31 - 1? -e32 In base 12, what is 3565 + -392? 3193 In base 9, what is 12 - -706? 718 In base 3, what is 1010202101 + -12? 1010202012 In base 16, what is -3 - -ae3? ae0 In base 5, what is -22302231 - 2? -22302233 In base 9, what is 20 + -2283? -2263 In base 15, what is -2d - 47c1? -47ee In base 16, what is -71 + d1? 60 In base 15, what is -351 + 34b? -5 In base 13, what is -2b984 - 1? -2b985 In base 16, what is -1 + 55379? 55378 In base 8, what is 16302 - 11? 16271 In base 8, what is -2230 - 51? -2301 In base 7, what is 0 + 3145524? 3145524 In base 11, what is -111522 - -1? -111521 In base 13, what is c57 - 5? c52 In base 8, what is -22 + 17741? 17717 In base 3, what is -220 + 10200221001? 10200220011 In base 10, what is 2549 - -112? 2661 In base 9, what is 1271383 - 0? 1271383 In base 4, what is -311120 + -20302? -332022 In base 9, what is 2 + 1841? 1843 In base 3, what is 111002120 - 1? 111002112 In base 2, what is -10010010010001 + 1000? -10010010001001 In base 16, what is -14a0a + 15? -149f5 In base 12, what is 320 + -144a? -112a In base 5, what is -2 + -1430000? -1430002 In base 16, what is -5 - -165f5a? 165f55 In base 13, what is -554 + 567? 13 In base 8, what is -4 + -37362? -37366 In base 6, what is -12 - -2214? 2202 In base 5, what is 2 - 1423134? -1423132 In base 12, what is 2 + 39525? 39527 In base 8, what is 3 - 3012132? -3012127 In base 10, what is 3541 - -327? 3868 In base 6, what is -1453 - 235? -2132 In base 14, what is 2d + a12? a41 In base 13, what is 4a2 + -133? 36c In base 12, what is 0 + -389a? -389a In base 15, what is 9b777 - -2? 9b779 In base 16, what is e3 + 1b92? 1c75 In base 5, what is 2 - -13? 20 In base 3, what is -2221 - 1120112? -1200110 In base 9, what is -250 + 212? -37 In base 9, what is 6754104 - -4? 6754108 In base 16, what is 362d8 - -2? 362da In base 11, what is 11030 + 8? 11038 In base 16, what is -3e6 - -72b? 345 In base 5, what is 3 - 31330311? -31330303 In base 2, what is 111100100111110 + -101? 111100100111001 In base 11, what is 91791 - -2? 91793 In base 2, what is 1011111111 + -110110001? 101001110 In base 6, what is -401410424 - -3? -401410421 In base 3, what is 1220212111 - 201? 1220211210 In base 3, what is -101200112202 - 10? -101200112212 In base 6, what is 0 + -322211? -322211 In base 9, what is 1282 - 135? 1146 In base 13, what is 5 + 100cb? 10103 In base 10, what is -21 - 5244? -5265 In base 8, what is 57673 - -17? 57712 In base 16, what is 96 + -2? 94 In base 10, what is 109 + -305? -196 In base 13, what is -46b236 + 0? -46b236 In base 9, what is 15038284 - -1? 15038285 In base 5, what is 213 + 13140? 13403 In base 10, what is 20 + 1587? 1607 In base 12, what is -445b2 - 3? -445b5 In base 13, what is -50a - 37? -544 In base 11, what is 12 - 55291? -5527a In base 7, what is -15 + -43442? -43460 In base 5, what is -30133 - -424? -24204 In base 9, what is -240132 - -4? -240127 In base 16, what is cc4 + 2a? cee In base 16, what is -2 + -3e3? -3e5 In base 7, what is 1 - -563400? 563401 In base 9, what is 17341 + -1? 17340 In base 15, what is 1 + -285bc? -285bb In base 2, what is 0 + 11010010001100? 11010010001100 In base 7, what is 61141 - -44? 61215 In base 3, what is -1 + 2000112111012? 2000112111011 In base 5, what is -3130332 - -13? -3130314 In base 4, what is -303 - -1020112? 1013203 In base 9, what is -24142 + 13? -24128 In base 3, what is -21 - -110120? 110022 In base 7, what is -5 - -1320350? 1320342 In base 9, what is 1114530 - 4? 1114525 In base 15, what is 187 - ab? cb In base 14, what is 25907 + -4? 25903 In base 14, what is 94b - 11? 93a In base 5, what is 124 + -2311334? -2311210 In base 6, what is -10 + 100353? 100343 In base 12, what is -55 - -1b5? 160 In base 9, what is -231636 - -12? -231624 In base 15, what is 0 + 138c16? 138c16 In base 11, what is -45 - -569? 524 In base 11, what is -4110 + 132? -3a89 In base 7, what is 3 - 63455? -63452 In base 14, what is 1436 - -452? 1888 In base 11, what is 483 - 136? 348 In base 11, what is 2 + -5764? -5762 In base 10, what is 17 + 23465? 23482 In base 2, what is 100010101100010010 - -100? 100010101100010110 In base 11, what is 5 - -4239? 4243 In base 13, what is -bb6 + a? -ba9 In base 11, what is -55674 - 3? -55677 In base 6, what is -31 + -4100? -4131 In base 6, what is -20 - -110? 50 In base 14, what is -102 + 663? 561 In base 12, what is 13 + 528? 53b In base 16, what is 1ceb - -20? 1d0b In base 13, what is -62a - -11? -619 In base 5, what is 403432 - 2? 403430 In base 15, what is 2 - -1989d2? 1989d4 In base 12, what is -a15 - -5a? -977 In base 13, what is 4 - -2b826? 2b82a In base 7, what is 5116 - -410? 5526 In base 3, what is -22202221 + 102? -22202112 In base 10, what is -20474 - -44? -20430 In base 13, what is -4 + -7745? -7749 In base 4, what is -30 - -31320133? 31320103 In base 10, what is 1116 + 78? 1194 In base 12, what is 19 - 16815? -167b8 In base 5, what is -10113 + -1040? -11203 In base 2, what is 10110010010001101 - 11? 10110010010001010 In base 3, what is 20220021 - 100? 20212221 In base 2, what is 101 + -11111111101110000? -11111111101101011 In base 12, wha
{ "pile_set_name": "DM Mathematics" }
at is the c'th term of 40923, 40924, 40925? c + 40922 What is the n'th term of -4426, -8835, -13240, -17641? 2*n**2 - 4415*n - 13 What is the h'th term of -1570582, -1570584, -1570588, -1570594, -1570602, -1570612, -1570624? -h**2 + h - 1570582 What is the p'th term of -7554, -14896, -22238? -7342*p - 212 What is the t'th term of -1292, -1320, -1376, -1466, -1596, -1772, -2000, -2286? -t**3 - 8*t**2 + 3*t - 1286 What is the o'th term of 1939673, 1939672, 1939669, 1939664? -o**2 + 2*o + 1939672 What is the j'th term of 992, 970, 922, 836, 700, 502, 230? -2*j**3 - j**2 - 5*j + 1000 What is the z'th term of 21423, 42845, 64241, 85605, 106931, 128213, 149445? -z**3 - 7*z**2 + 21450*z - 19 What is the u'th term of 2341, 2342, 2331, 2302, 2249, 2166, 2047, 1886? -u**3 + 8*u + 2334 What is the v'th term of -41, -300, -971, -2246, -4317, -7376, -11615? -32*v**3 - 14*v**2 + 7*v - 2 What is the g'th term of -596, -2422, -5460, -9704, -15148, -21786? g**3 - 612*g**2 + 3*g + 12 What is the x'th term of -38, -239, -624, -1193, -1946, -2883, -4004? -92*x**2 + 75*x - 21 What is the q'th term of 90706, 90715, 90740, 90787, 90862? q**3 + 2*q**2 - 4*q + 90707 What is the p'th term of 344538, 344539, 344540, 344541, 344542, 344543? p + 344537 What is the r'th term of 239, 267, 293, 317, 339, 359? -r**2 + 31*r + 209 What is the j'th term of -4, -133, -494, -1201, -2368? -19*j**3 - 2*j**2 + 10*j + 7 What is the p'th term of -47331, -47321, -47309, -47295, -47279, -47261, -47241? p**2 + 7*p - 47339 What is the m'th term of 2836, 2839, 2842? 3*m + 2833 What is the u'th term of -383, -367, -355, -347, -343, -343? -2*u**2 + 22*u - 403 What is the n'th term of -313, -744, -1179, -1624, -2085, -2568, -3079, -3624? -n**3 + 4*n**2 - 436*n + 120 What is the j'th term of -187, -372, -545, -700, -831? j**3 - 192*j + 4 What is the n'th term of -52, -206, -478, -880, -1424? -2*n**3 - 47*n**2 + n - 4 What is the n'th term of -13052, -13003, -12954, -12905, -12856? 49*n - 13101 What is the c'th term of -1912, -3646, -5384, -7126, -8872? -2*c**2 - 1728*c - 182 What is the f'th term of -2118114, -2118112, -2118108, -2118102, -2118094? f**2 - f - 2118114 What is the o'th term of -182824, -365648, -548474, -731302? -o**2 - 182821*o - 2 What is the p'th term of -157, -258, -273, -166, 99, 558? 6*p**3 + 7*p**2 - 164*p - 6 What is the j'th term of -64, -134, -210, -286, -356, -414, -454? j**3 - 9*j**2 - 50*j - 6 What is the h'th term of 3249, 3255, 3263, 3273, 3285, 3299? h**2 + 3*h + 3245 What is the i'th term of 2494, 4941, 7388, 9835? 2447*i + 47 What is the f'th term of 31185, 62373, 93561, 124749, 155937, 187125? 31188*f - 3 What is the x'th term of 3054536, 6109073, 9163610, 12218147? 3054537*x - 1 What is the c'th term of -303591, -607182, -910773, -1214364, -1517955, -1821546? -303591*c What is the l'th term of 63330, 63333, 63336? 3*l + 63327 What is the m'th term of -19156, -19158, -19152, -19132, -19092, -19026, -18928? m**3 - 2*m**2 - 3*m - 19152 What is the m'th term of 972, 1895, 2818, 3741, 4664, 5587? 923*m + 49 What is the z'th term of 65106, 65078, 65032, 64968, 64886, 64786? -9*z**2 - z + 65116 What is the s'th term of -4051, -5270, -7301, -10144, -13799, -18266, -23545? -406*s**2 - s - 3644 What is the b'th term of 1340, 5297, 11850, 20981, 32672, 46905, 63662? -3*b**3 + 1316*b**2 + 30*b - 3 What is the f'th term of -1135, -1138, -1155, -1198, -1279, -1410, -1603, -1870? -2*f**3 + 5*f**2 - 4*f - 1134 What is the c'th term of 22855, 45713, 68571? 22858*c - 3 What is the a'th term of -397, -817, -1247, -1687, -2137? -5*a**2 - 405*a + 13 What is the f'th term of -176, -747, -1728, -3143, -5016, -7371, -10232, -13623? -4*f**3 - 181*f**2 + 9 What is the r'th term of -108550, -108549, -108548, -108547, -108546? r - 108551 What is the t'th term of -396, -1420, -2802, -4278, -5584? 44*t**3 - 443*t**2 - 3*t + 6 What is the g'th term of -216, 2547, 10048, 24657, 48744, 84679, 134832, 201573? 395*g**3 - g**2 + g - 611 What is the o'th term of -501, -1164, -1827? -663*o + 162 What is the c'th term of 3449, 2718, 1989, 1262, 537? c**2 - 734*c + 4182 What is the y'th term of -1745, -3361, -4853, -6227, -7489, -8645, -9701, -10663? -y**3 + 68*y**2 - 1813*y + 1 What is the g'th term of 740, 776, 842, 944, 1088? g**3 + 9*g**2 + 2*g + 728 What is the r'th term of 1186, 2377, 3586, 4825, 6106? 2*r**3 - 3*r**2 + 1186*r + 1 What is the i'th term of -494, -220, 232, 856, 1646, 2596, 3700, 4952? -i**3 + 95*i**2 - 4*i - 584 What is the z'th term of -8, 133, 562, 1423, 2860, 5017, 8038? 24*z**3 - 27*z - 5 What is the o'th term of 35, 69, 125, 203, 303, 425, 569? 11*o**2 + o + 23 What is the u'th term of -7865, -7874, -7889, -7910, -7937? -3*u**2 - 7862 What is the i'th term of 360, 343, 308, 249, 160, 35? -i**3 - 3*i**2 - i + 365 What is the y'th term of -1275, -2467, -3573, -4593? 43*y**2 - 1321*y + 3 What is the f'th term of 1166, 2329, 3492, 4655, 5818, 6981? 1163*f + 3 What is the o'th term of 632600, 1265200, 1897800? 632600*o What is the y'th term of 509, 1218, 1927? 709*y - 200 What is the v'th term of -2524, -5078, -7632, -10186? -2554*v + 30 What is the u'th term of 1821, 3571, 5321? 1750*u + 71 What is the d'th term of -4518, -9019, -13520, -18021, -22522, -27023? -4501*d - 17 What is the w'th term of 475, 499, 503, 475, 403, 275, 79? -2*w**3 + 2*w**2 + 32*w + 443 What is the o'th term of 15321, 15362, 15439, 15558, 15725, 15946? o**3 + 12*o**2 - 2*o + 15310 What is the v'th term of -805, -1077, -1361, -1663, -1989, -2345? -v**3 - 265*v - 539 What is the p'th term of -87930, -87933, -87936, -87939? -3*p - 87927 What is the k'th term of 71156, 71138, 71108, 71066, 71012, 70946, 70868? -6*k**2 + 71162 What is the a'th term of -81, -364, -883, -1674, -2773, -4216, -6039? -6*a**3 - 82*a**2 + 5*a + 2 What is the b'th term of -1052, -8316, -28032, -66428, -129732, -224172, -355976? -1038*b**3 + 2*b**2 - 4*b - 12 What is the d'th term of 755, 1002, 1683, 3014, 5211? 36*d**3 + d**2 - 8*d + 726 What is the z'th term of -342, -602, -864, -1128, -1394, -1662? -z**2 - 257*z - 84 What is the a'th term of 30, -36, -176, -414, -774? -4*a**3 - 13*a**2 + a + 46 What is the a'th term of 435683, 871366, 1307049, 1742732, 2178415, 2614098? 435683*a What is the x'th term of 5, 2, 1, -4, -19, -50, -103, -184? -x**3 + 7*x**2 - 17*x + 16 What is the v'th term of 62, 307, 734, 1343? 91*v**2 - 28*v - 1 What is the a'th term of 24674, 49400, 74114, 98810, 123482, 148124? -a**3 + 24733*a - 58 What is the x'th term of 680, 1078, 1476? 398*x + 282 What is the m'th term of -156, -158, -162, -168, -176, -186, -198? -m**2 + m - 156 What is the i'th term of -7754119, -7754120, -7754121, -7754122, -7754123? -i - 7754118 What is the y'th term of -67084, -67085, -67086? -y - 67083 What is the c'th term of -453, -1067, -1685, -2307, -2933, -3563? -2*c**2 - 608*c + 157 What is the i'th term of 268, 2707, 9330, 22231, 43504? 349*i**3 - 2*i**2 + 2*i - 81 What is the a'th term of -180487, -180460, -180409, -180328, -180211, -180052? a**3 + 6*a**2 + 2*a - 180496 What is the v'th term of 1222, 1183, 1082, 889, 574, 107? -5*v**3 - v**2 - v + 1229 What is the m'th term of -504, -1953, -4348, -7677, -11928? 2*m**3 - 485*m**2 - 8*m - 13 What is the p'th term of 6370, 25491, 57356, 101965, 159318? 6372*p**2 + 5*p - 7 What is the h'th term of 1695052, 1695055, 1695060, 1695067, 1695076? h**2 + 1695051 What is the v'th term of -139, -283, -521, -853? -47*v**2 - 3*v - 89 What is the l'th term of 66084, 66169, 66398, 66843, 67576? 12*l**3 + l + 66071 What is the v'th term of -15313, -30598, -45873, -61132, -76369, -91578, -106753? v**3 - v**2 - 15289*v - 24 What is the j'th term of 121, 170, 265, 406? 23*j**2 - 20*j + 118 What is the h'th term of 77694, 77692, 77690, 77688, 77686, 77684? -2*h + 77696 What is the d'th term of 39753, 39744, 39723, 39684, 39621, 39528, 39399, 39228? -d**3 - 2*d + 39756 What is the w'th term of -11428, -22854, -34292, -45748, -57228, -68738, -80284, -91872? -w**3 - 11419*w - 8 What is the x'th term of 28, 148, 458, 1048, 2008, 3428, 5398, 8008? 15*x**3 + 5*x**2 + 8 What is the a'th term of -137692, -275386, -413080? -137694*a + 2 What is the d'th term of -50169, -50168, -50167, -50166? d - 50170 Wh
{ "pile_set_name": "DM Mathematics" }
me? True Suppose d + 13 = -5*x, -2*d + 7 = -0*x - x. Let l be 37/(-3*x/9). Suppose 3*c - 205 = r, 3*r - l = -c + 18. Is c a composite number? False Suppose n + 120 = 5*k - 98, -2*k - 4*n = -96. Suppose -k + 9 = -b. Is b composite? True Let w(o) = -3*o + 3449. Is w(0) a prime number? True Let w be ((-2)/4)/((-4)/24). Is w/(498/(-501) + 1) a prime number? False Let v = 15 + -10. Let c(a) = -a**3 + 4*a**2 + 3*a. Let f be c(v). Is 26/10 - 4/f a composite number? False Let o = 3 - -2. Suppose 11 = -o*g - 9. Let k(q) = q**3 + 7*q**2 + 7*q + 6. Is k(g) a prime number? False Let b(w) = -w**3 + w + 2. Let q be b(0). Is (-1)/(q - 1678/838) composite? False Suppose -35 = -5*c - 2*p, 4*c + 3*p = 16 + 19. Let a(l) = 15*l + 4. Is a(c) composite? False Let t(a) = -9*a - 2*a - 11*a. Is t(-1) composite? True Let c(b) = -b**2 - 2. Suppose 2 = -2*s + s. Let p be c(s). Is ((-3)/p)/(1/106) a composite number? False Let r(c) = -c + 8. Let f be r(4). Let g(s) = 55*s**2 + 2*s - 1. Is g(f) prime? True Let j be ((-1)/3)/((-6)/54). Suppose -3 = j*p - 12. Is (-3)/1 - (-30)/p a composite number? False Let x be 242/3*18/12. Let z = x - -90. Is z prime? True Let a = 1152 + -503. Is a prime? False Let l(y) = -y**3 + y**2 + y - 2. Let w be l(2). Is (-477)/(-6)*w/(-2) composite? True Let z(j) = 16*j + 2. Let u(w) = w**2 - 5*w - 9. Let b be u(7). Is z(b) composite? True Suppose -5 = 3*m - 4*y, 5*m = 3*m + y. Is (m/(-2))/(2/(-52)) a prime number? True Let s be (-1)/3 - 10/(-3). Let n = 53 + -41. Suppose n + 21 = s*q. Is q a composite number? False Let o(s) = -35*s**3 - 3*s**2 + 3*s - 2. Is o(-3) a prime number? True Let q = 5 + -5. Suppose 3*u - 4*f - 13 - 5 = q, 0 = 3*u + 2*f. Suppose b + 6 = u*b. Is b composite? True Suppose 0*g = 2*g. Suppose g = 5*u - 2*u - 12. Suppose 2*c = -s + 85, -u*s - 4*c - 95 = -419. Is s a prime number? False Let q(a) = -a**2 - 6*a + 3. Let u be q(-6). Suppose -u*o + 8 = o. Is o composite? False Let b(k) = -936*k + 47. Is b(-6) a prime number? False Suppose -160 = 6*m - 4*m. Let p = 5 - m. Is p a prime number? False Let n(m) = 10*m**2 - 5*m + 3. Is n(4) a prime number? False Let m = -170 + 21. Let w = -99 - m. Suppose 0 = l + 4*l - w. Is l a composite number? True Suppose 3*k - i = 1651, -2*k - k - 2*i + 1657 = 0. Is k a prime number? False Is 5 + -4 + (0 - -628) composite? True Suppose -2*z = -5*z + 24. Let i = z - 3. Suppose 3*x = 25 + i. Is x prime? False Let z(x) = 3 - x - 3 + 3*x**2 + 0. Let o = -1 + 3. Is z(o) a composite number? True Suppose -5*m + 3*g + 8715 = 533, 1 = g. Is m a prime number? True Suppose 4*r - 848 = -5*x, -1 - 11 = 3*x. Is r a composite number? True Let s(u) = -5*u**2 - u + 2. Let x be s(-2). Let j = 49 + x. Is j a prime number? False Let j = 443 - 190. Is j prime? False Let q(s) = -s**2 + 25*s - 11. Is q(12) composite? True Let y be 2/((-18)/(-51))*-3. Let r = y + 24. Let p = 28 + r. Is p prime? False Suppose -c = -0*c - 19. Is c a composite number? False Suppose -5*q = -j - 1109, -4*j = -5*q - 5*j + 1101. Is q prime? False Is (-173)/(-2) + 1/2 a composite number? True Let c = -2429 - -3532. Is c prime? True Let r(s) = 44*s + 39. Is r(16) composite? False Let g(u) = 12*u**3 + 4*u**2 - 3*u - 7. Let k(y) = -13*y**3 - 4*y**2 + 3*y + 8. Let a(i) = -7*g(i) - 6*k(i). Is a(-4) prime? False Suppose 327 + 82 = q. Is q a prime number? True Is (10/4)/(1/2) - 2 composite? False Suppose -4*k + 159 = -k - 5*h, k = -3*h + 53. Is k a prime number? True Let u be (-9)/36 - 54/8. Let v(b) = -15*b + 4. Is v(u) composite? False Let c(y) = -26*y**2 - y + 2. Let j(s) = 53*s**2 + 3*s - 5. Let z(o) = -5*c(o) - 2*j(o). Is z(1) prime? True Suppose 4*n = -o + 29, 4*o + n - 86 = -0*n. Is o prime? False Let f(r) = r - 2. Let p be f(-3). Let c(a) = 8*a**2 + 4*a - 3. Let g be c(p). Let k = 254 - g. Is k composite? True Suppose 2*p - 4*l - 46 = -16, -l - 25 = -3*p. Suppose -5*a + p*n = 2*n - 105, 0 = 2*n - 8. Is a a prime number? False Suppose -2*x + 18 = 3*z - 5, 2*z - 30 = -5*x. Suppose -62 = z*f - 312. Suppose -3*o + 80 = 5*h - f, 4*h = -2*o + 90. Is o composite? True Suppose -2*v - v + 12 = 0. Let s(o) = o - 1. Let t be s(v). Suppose -5*i - 3*x = -41, -4*i - 4*x + 15 = -t*i. Is i composite? False Let h(w) be the second derivative of w**3/3 - w**2 - 3*w. Let f be h(2). Is (2 + -4)*(-51)/f composite? True Let u(b) = -3*b. Let o be u(2). Let a be 1/2 - o/(-4). Is 8/(2 - (a + 1)) a prime number? False Suppose -2*y + y - 7 = 0. Let j be (-2)/y - 2441/(-7). Let m = j - 62. Is m a prime number? False Let v(g) = -35*g - 1. Is v(-1) a prime number? False Let h(g) = 42*g + 1. Is h(8) a prime number? True Let n = -4 + 7. Suppose n*w = -0*w + 150. Let r = w - 15. Is r prime? False Let q be -480 - (3/1 + 0). Let p = q + 869. Is p a composite number? True Suppose 5*z - 25 = -0*z. Suppose 3*n - 2*m - m = 126, 0 = n - z*m - 54. Is n a composite number? True Suppose 170 + 234 = 2*d. Suppose 3*z = 221 + d. Is z a composite number? True Let s(z) = -z + 6. Let m be s(4). Suppose -212 = -3*i + 2*i + 3*u, -5*u - 425 = -m*i. Is i prime? False Suppose -3*u + 552 + 1302 = 3*w, 5*w = -25. Suppose -u = -m - 2*k, 6*k - 2*k - 1877 = -3*m. Is m a composite number? False Suppose 0 = 2*o + 2*o + 4*c - 11732, 5*o = 3*c + 14681. Is o prime? False Suppose 3*f - 10 = -2*f. Suppose 7*j - f*j = 170. Is j a prime number? False Suppose 3*d = 8*d + 100. Let f = d + 34. Is f a prime number? False Let s = 937 - 654. Let b(x) = 67*x + 1. Let i be b(-3). Let p = s + i. Is p prime? True Suppose -4*n + 4*m + 815 - 51 = 0, 0 = -3*n - m + 589. Suppose -2*j + t - 179 + 583 = 0, j = 4*t + n. Is j a composite number? True Let u(d) = -d**3 + 2*d**2 + 2. Let y be u(2). Is 1/y + (-2198)/(-28) a prime number? True Let u = 9 + 20. Let w = u - 10. Suppose -5*x - w = -0*p - p, -5*x = 0. Is p prime? True Let i(m) = m**3 - 2*m**2 + 8*m + 4. Let p = 22 - 16. Let l be i(p). Suppose -2*s = 2*s - l. Is s a composite number? True Let m(w) = w + 14. Suppose -2*i + 11 = 5*f, -i - 3 = 3*i + 5*f. Is m(i) prime? True Suppose 0 = -3*x + 2162 + 2233. Is x prime? False Let c(y) = y - 4. Suppose -11 - 21 = -4*n. Let w be c(n). Suppose w*k = 88 - 12. Is k composite? False Let a(l) = 2*l - 10. Let s be a(11). Let q = s - 9. Suppose q*z = -0*z + 291. Is z composite? False Let n(w) = -w**3 - 2*w**2 + 4*w - 5. Let p = 2 + -6. Is n(p) prime? True Suppose j - 1 + 3 = 0. Is (-2 - -1)/j*166 composite? False Let j(n) = 2*n**2 + 7*n - 8. Let y be j(-7). Suppose -y = -m + 12. Is m prime? True Let y be 2/8 + 1863/(-12). Let r = 349 + y. Is r prime? False Let h(g) be the third derivative of 29*g**6/60 + g**5/30 - g**4/24 + 3*g**2. Is h(1) prime? True Let a be (10/3)/(8/12). Suppose -a*o + 3*q + 4 = -10, 5*o - q = 18. Is (-6)/o*188/(-6) a prime number? True Is 1477/(1/((-4)/(-2) - 1)) a composite number? True Suppose 5*g = -2*w + 25 - 74, 2*g = 3*w + 102. Let j = -17 - w. Is j prime? False Suppose -3*h = -5*m + 3*m + 1804, -h = 3*m + 583. Let q = 855 + h. Is q composite? False Let j = -157 + 368. Is j prime? True Let p(w) = w**2 + 3*w + 2. Let c be p(-3). Suppose 0 = -4*f - j + 319, -2*f + 0*f + 152 = -c*j. Is f composite? False Let l(m) = -9*m - 20. Is l(-6) a composite number? True Let s be -9*(2 - 16/6). Let d = -10 + s. Is (-2)/(-3)*(-894)/d composite? False Suppose 0*u = 4*u - 16. Suppose -7*s + 50 = -4*s - u*x, 3*x = s - 20. Is s a prime number? False Suppose -w + 0*w + 1262 = 3*o, 5*w = 4*o + 6291. Is w prime? True Suppose -4*h - 280 = -4*d, 3*h - 136 = -2*d + h. Is d prime? False Let w = 15 - 12. Suppose 2*u + u + 5*x - 159 = 0, 2*u - 106 = w*x. Is u a composite number? False Suppose 4*b = y + 5 + 3, -3*b = -y - 7. Is 0 + y/(4/(-85)) prime? False Is 8/(-56) + 2670/21 a composite number? False Suppose 23 = d - 24. Is d composite? False Suppose -73 = -4*m + 99. Is m composite? False Let g be (-1)/(13/(-12) - -1). Is g - (-1 + 0) - -1 a composite number? True Suppose -3*w = 5*o - 17, 2*w + 4*o - 6*o = -10. Suppose 0 = -3*m - 6 - 9. Is w + 50 + 2 + m a prime number? False Let v(i) = i**3 - 3*i - i - 5*i**2 - 2*i + 7. Let r be (-2)/((-40)/12 + 3). Is v(r) a composite number? False Suppose -4*y = 2*k - 6164, -2*y - k + 3094 = -3*k. Is y a prime number? True Let x = -56 + 14. Let p = x - -349. Is p composite? False Suppose 19*o - 6*o
{ "pile_set_name": "DM Mathematics" }
-5*p + 8. Suppose 32 = n + 2*x, p*n = 6*n - 5*x - 128. What is the remainder when -2*3/6 + n is divided by 16? 15 Let t be (2/(-4))/(5/(-10)) - -7. Suppose -t*s = -7*s - 123. What is the remainder when s is divided by 25? 23 Suppose -152 = -53*x + 219. What is the remainder when 45 is divided by x? 3 Let r = 676 + -616. Calculate the remainder when r is divided by 2. 0 Let d(y) = y**3 + 10*y**2 - 13*y + 8. What is the remainder when d(-10) is divided by 47? 44 Let u be (1 - (1 - 1)) + -1 + 5. Suppose 37 = -u*d + 162. Calculate the remainder when d is divided by 13. 12 Let p(x) = 5*x**2 - 3*x - 4. Calculate the remainder when 69 is divided by p(2). 9 Let j = 7 + -5. Calculate the remainder when -1 - -5 - j*-1 is divided by 4. 2 Suppose -8*i + 8 = -4*i. What is the remainder when i is divided by (16/((-480)/(-45)))/((-1)/(-4)*3)? 0 Suppose 9*b = 11*b - 42. What is the remainder when 27 is divided by b? 6 Suppose -5*u - 28 = 307. Let r = u - -186. What is the remainder when r is divided by 30? 29 Let i = 2 + 2. Suppose i = f - 0. Let l(y) = 5*y**2 + 12*y - 25. Calculate the remainder when l(2) is divided by f. 3 Let q = 15 + 17. Calculate the remainder when 115 is divided by q. 19 Let b(k) = -7*k - 37. What is the remainder when b(-11) is divided by 23? 17 Let i = 925 + -877. Calculate the remainder when 228 is divided by i. 36 Suppose -w = 492 - 528. What is the remainder when 98 is divided by w? 26 Let d(a) = 2*a**2 - 23*a - 188. Calculate the remainder when 216 is divided by d(-6). 18 Suppose 0 = -5*q - 4*v + 45 - 10, 2*v - 10 = 0. What is the remainder when 250 is divided by q? 1 Let y(u) = u**3 + 16*u**2 - 20*u - 26. What is the remainder when 48 is divided by y(-17)? 23 Let o(u) = -13*u**3 - u**2 - 7*u - 7. Calculate the remainder when 44 is divided by o(-1). 8 Let k = 5 + -2. Suppose 5*n - 7 = k. Suppose -n*d = -6*d + 148. What is the remainder when d is divided by 10? 7 Let u(q) be the first derivative of -3*q**2 + q + 11. What is the remainder when 147 is divided by u(-4)? 22 Let u(x) = x**3 - 4*x**2 - 4*x + 5. Let t be u(5). Let f = 64 - t. Let o(d) = d**2 - 6*d + 7. Calculate the remainder when f is divided by o(7). 12 Calculate the remainder when 99 is divided by 6/(-18) + (-2)/3 + 16. 9 Let p = 10 + -13. Let f(v) = -8*v**2 - 4*v - 2. Let y be f(p). What is the remainder when 39 is divided by y/(-3) + (-8)/12? 19 Suppose 3*t + 33 = 2*m, 3*m + 3 = 3*t + 33. Let d = 0 - t. What is the remainder when 1/8*2 - 91/(-4) is divided by d? 10 Let j(v) = -21*v - 1. Calculate the remainder when j(-2) is divided by 10. 1 Let q(c) = -c**3 - 11*c**2 + c + 14. Let x be q(-11). Suppose r - 4*t = 8, -x*r + 46 = -0*r - t. What is the remainder when 42 is divided by r? 10 Let g(f) = 4*f**2 + 20*f - 151. Calculate the remainder when g(7) is divided by 17. 15 Suppose 11 = 3*u - 4. Suppose -5*s - t = -164, -4 = u*t + 1. Suppose 4*z - 26 = 46. What is the remainder when s is divided by z? 15 Let l(j) = 29*j + 37. What is the remainder when 287 is divided by l(-1)? 7 Let j = 1 + -1. Suppose 5*y - 90 = -j*y. What is the remainder when y is divided by ((-14)/(-3))/((-6)/(-87) + 2808/4698)? 4 Let a(t) = -t**2 + 16*t + 2. Suppose 0 = 2*n - 3 - 5. Suppose -7 = n*j - 47. What is the remainder when a(11) is divided by j? 7 Let a = 31 - 69. Let t = a - -34. Calculate the remainder when ((-1)/t)/((-6)/(-456)) is divided by 5. 4 Suppose -7 = -2*q - 2*b + 109, q = -5*b + 58. Let y = 41 + -11. Calculate the remainder when q is divided by y. 28 Let f = 26 - -23. Calculate the remainder when (-42)/4*(-84)/f is divided by 10. 8 Let d be 403/(-5) + 3/5. Let g = d + 130. What is the remainder when g is divided by 13? 11 Suppose a = 4*v + 34, -5*a - 26*v + 28*v = -188. What is the remainder when 187 is divided by a? 35 Suppose -7*v = 276 - 941. What is the remainder when v is divided by 16? 15 Let t = -93 - -258. Calculate the remainder when t is divided by 28. 25 Suppose i = 5*w + 4*i, 0 = -w - 3*i - 12. Let o(n) = -n**2 + 4*n + 6. Let c be o(4). Let g = c - 3. What is the remainder when g is divided by w? 0 Suppose 2*u - 2*v = -4*v, 2*u + 5*v = 0. Suppose u = -5*i + 4*h + 25, -2*h = h + 15. What is the remainder when 2 is divided by i? 0 Let a(f) = 67*f**2 + 30*f + 4. What is the remainder when a(-4) is divided by 33? 32 Suppose 64*c - 60*c = 12. Suppose 3*y = c + 24. Let d = 2 + 2. What is the remainder when y is divided by d? 1 Suppose 0*a + 3*a = 60. Suppose a = -3*y + 134. Suppose -r + 5*r = 40. Calculate the remainder when y is divided by r. 8 Let u = -1327 - -2321. Calculate the remainder when u is divided by 50. 44 Suppose -241 = -4*c - 141. Calculate the remainder when 62 is divided by c. 12 Suppose -414 = 3*b - 21*b. What is the remainder when 37 is divided by b? 14 Let j = 383 + -380. What is the remainder when 4 is divided by j? 1 Let x = -218 - -233. What is the remainder when 14*3*1 - 1 is divided by x? 11 Calculate the remainder when 66 is divided by (-152)/(-20) - 8 - (-561)/15. 29 Suppose -4*u - 30 = 3*c - 85, -4*c + 4*u = -36. Suppose 11*l = c*l - 110. What is the remainder when l is divided by 14? 13 Let h = 22 - 7. Let c(p) be the second derivative of -p**5/20 + 3*p**4/4 - 5*p**3/6 - 7*p**2/2 - 4*p. Calculate the remainder when c(7) is divided by h. 11 Suppose 65*y = -y + 1716. What is the remainder when 178 is divided by y? 22 Let x(d) = -3*d + 6. Suppose 0*g = -5*g - 4*u + 54, -3*g = -2*u - 28. Let o = 4 - g. What is the remainder when x(o) is divided by 9? 6 Suppose -25 - 175 = -4*z. Calculate the remainder when z is divided by 40*(-12)/(-96) - -8. 11 Suppose -l = 3*s - 23, 5*l - 43 = 2*s + s. Calculate the remainder when 62 is divided by l. 7 Let a be (-128)/(-12)*(5 - 2). Suppose 3*n - a = -2*n - 2*d, -4*n + 19 = -5*d. Let q(s) = -4*s + 1. What is the remainder when q(-5) is divided by n? 3 Suppose 0 = 2*h, -10*h = -5*o - 8*h + 220. Suppose 4*y = -3*j + y + 39, y + 19 = j. What is the remainder when o is divided by j? 12 Suppose 0 = -15*h - 4*h + 1976. What is the remainder when h is divided by 18? 14 Let j = -51 - -75. Let m(o) = o**3 + 3*o**2 - 5*o. Calculate the remainder when j is divided by m(-4). 0 Let g be (-6)/27 - (-141)/27. Let i = 17 + g. Suppose 2*v = -5*c + 167, 5*c + 346 = 4*v + 3*c. What is the remainder when v is divided by i? 20 Suppose -4*q + 9*q + 170 = 0. Let w = q + 40. Calculate the remainder when w is divided by 2. 0 Suppose n = 9*n. Calculate the remainder when 10 is divided by n/(-4) - (-4 + 0). 2 Suppose 7*a - 349 - 85 = 0. Suppose -54 - 48 = -2*y + h, y = -5*h + a. Suppose 0*s - 4*s = -56. Calculate the remainder when y is divided by s. 10 Suppose -12*g - 222 = 162. Let t = -194 + 137. Let k = g - t. Calculate the remainder when 49 is divided by k. 24 Let i be -3*(-2)/(-2)*-1. Suppose u - i*u = -32. Calculate the remainder when u is divided by 6. 4 Suppose -j - 3*u = -36, -3*j + 2*u + 18 + 35 = 0. Calculate the remainder when 78 is divided by j. 15 Suppose 4*t + 24*v - 20*v = 724, 5*v - 374 = -2*t. Calculate the remainder when 1768 is divided by t. 175 Let c(u) = u**2 + 85. Let z = 15 + -11. Calculate the remainder when c(0) is divided by (-3)/(-12) + 87/z. 19 Let l = 1357 + -1325. Calculate the remainder when 188 is divided by l. 28 Suppose 2*a - 40 = -2*a. Suppose -w + b + a = 0, -w + 6*w - 4*b = 45. What is the remainder when 28 is divided by w? 3 Let f(r) = 49 - 5*r**2 - r + 20 - 18 - 17*r**2 + r**3. What is the remainder when f(22) is divided by 7? 1 Suppose -4*q - 1 = -13. Let l(i) = -9*i**3 + 26*i**3 + i + 32 - 18*i**q. What is the remainder when l(0) is divided by 11? 10 Let g(s) = -s**2 - s + 26. Let f be g(-8). Let b = f + 73. What is the remainder when b is divided by 23? 20 Let y(q) = -q**3 + 6*q**2 + 2*q + 2. Let w = -9 + 3. Let t(c) = -c - 1. Calculate the remainder when y(6) is divided by t(w). 4 Let i(t) = 16*t**2 - 4*t - 4. What is the remainder when -9*(5/4)/((-6)/24) is divided by i(-1)? 13 Calculate the remainder when 15 is divided by 18/21*(-28)/32*-4. 0 Let f(x) = -x**3 - 14*x**2 - 27*x + 37. Calculate the remainder when 2554 is divided by f(-12). 72 Suppose 4*p + 8*h - 7*h = 198, 4*p - 204 = -4*h. What is the remainder when 249 is divided by p? 4 Calculate the remainder when 2/(-4) + (-2)/4 + 38 i
{ "pile_set_name": "DM Mathematics" }
k + 0*k - 2*k. -4*k Expand -4*r - 3*r**3 + 4*r + ((1 - 1 + 2)*(r + 3*r - 3*r) + 3 + 2*r - 3)*(r**2 - 4*r**2 + 2*r**2). -7*r**3 Expand (7 - 17 + 6 - k)*(k - 3 + 3) + 2*k**2 + 0*k**2 + 0*k**2. k**2 - 4*k Expand -5*y**3 - 3*y**3 + 4*y**3 + 4*y**3 - 3*y**3 + 2*y**3 + (2 - 1 - 2)*(-3*y**3 + 2*y**3 + 2*y**3) + (-y**3 + y**3 - y**3)*(4 + 3 - 5). -4*y**3 Expand 2 + 2*p - 2 - p + 6*p - 4*p + (1 + 0 + 3)*(p - 2*p - p). -5*p Expand (-1 - 3*s + 1)*((-2 + 3 + 0)*(-2*s + 2*s + 4*s) - s - s + 0*s + 0*s + 3*s - 4*s). -3*s**2 Expand -2*q**5 + 4*q**3 - 4*q**3 + (10*q - q + q)*(-3*q**4 + 2*q**4 + 3*q**4). 18*q**5 Expand (-2 - m + 2)*(-5 + 18 + 12 + (-2 + 3 + 0)*(-5 + 2 + 2)). -24*m Expand (58 - 58 - 16*m**2)*(0*m - m - m). 32*m**3 Expand (-l + l + l)*(2 - 2 - 2*l + (-3*l + 6*l - l)*(-1 + 1 - 2)). -6*l**2 Expand -12 + 12 + 5*m + 0 + 0 - m + (2*m + 2*m - 2*m)*(-1 + 2 - 2) + 2*m + 3 - 3. 4*m Expand (-3 - 19*z**2 + 19*z**2 - 2*z**4 - 2*z)*(-3*z + 0*z + 4*z). -2*z**5 - 2*z**2 - 3*z Expand (-4*i + 4*i + 2*i)*(-3 + 4 + 0)*(-2 + 14 + 8). 40*i Expand (-3*f**3 + 2*f**3 + 3*f**3)*(2*f + 3*f - 7*f) - 63*f**3 - 7*f**4 + 63*f**3 + (2*f**2 - f**2 + f**2)*(-f**2 + 0*f**2 + 3*f**2) - 2*f**4 + 2*f**4 + f**4. -6*f**4 Expand 3*x**2 - x**3 - 3*x**2 - x**3 + x**3 - 3*x**3 + (3*x**2 + 4*x**2 - 6*x**2)*(-x + 4*x - 4*x). -5*x**3 Expand (-4 + 1 + 1)*(-4 - 3 - 1)*(-5*m + 7 - 7). -80*m Expand k**3 + 2*k**3 - 6*k**3 + (4*k**2 - 3*k**2 + 0*k**2)*(0*k - 6*k + 0*k). -9*k**3 Expand (-2*g**2 + 0*g**2 + g**2 + (3*g + 0*g - g)*(5*g - 5*g - g))*(g + 2*g - g) - 3*g**2 + g**3 + 3*g**2. -5*g**3 Expand (47*j + 40*j - 92*j - 1)*(2*j + 2*j - 3*j). -5*j**2 - j Expand (2 + 1 - 1)*(-3*z + 4*z**2 - 3*z**2 + 0*z**2). 2*z**2 - 6*z Expand (s + 0*s + s)*(53*s**3 - 53*s**3 + 23*s**4). 46*s**5 Expand (-2*a + 2*a - 2*a)*(-2 + 3 - 4) + 1 - 1 + 3*a + 3*a - a + 1 - 4*a. 7*a + 1 Expand r**5 - 4*r**3 + 4*r**3 + (2*r**4 + 2*r**4 - r**4)*(-4*r - r + 2*r). -8*r**5 Expand (3*r**2 - 3*r**2 + 2*r**3)*(1 - 4 + 1) + 9*r**3 - 2*r**3 + 2*r**3. 5*r**3 Expand -19*r**3 - 35*r**3 - 9*r**3 - r**3 + r**3 - r**3 + 2*r**3 + r**3 - r**3 + (-r - r + 4*r)*(-3*r**2 + 4*r**2 + r**2) + r**3 - 2*r**3 + 2*r**3. -57*r**3 Expand (3*s**2 - 4*s + 4*s)*(-6*s**3 - 5*s**3 + 4*s**3) + (-s**4 + 2*s**4 + 0*s**4)*(0*s + 2*s - 3*s). -22*s**5 Expand (-r**2 + r**2 - 4*r**2)*((-7 + 3 + 3)*(-5*r + 3*r + 0*r) + 0*r - r + 2*r). -12*r**3 Expand -2*q**5 + 2*q**5 - 2*q**5 + 4*q**5 - 3*q**5 - 3*q**5 + (0*q**4 + q**4 - 2*q**4)*(-q + q + 2*q). -6*q**5 Expand (-1 + 2 + 1)*(0 + 0 + 2*v) + v + 3*v - 6*v. 2*v Expand ((0 + 0 + 2*s)*(-6 + 2 + 2) - s + 6*s - 4*s)*(-2 + 2 + 2*s)*(-6*s**2 + 7*s**2 - 3*s**2). 12*s**4 Expand (2*n - 2*n + n)*(3 + 12*n - 16*n - 5). -4*n**2 - 2*n Expand (0*p**2 - p**2 - p**2)*(-6 + 2 + 0). 8*p**2 Expand (-4*b**2 + 5*b**2 - 5*b**2 + b**3)*(0 + 7 - 40). -33*b**3 + 132*b**2 Expand (-y**2 + 4*y**5 + y**2)*(4 - 1 - 1). 8*y**5 Expand (-2 - 2 + 2)*(-2*k - 3 + 3) - k + 4*k - 2*k + 5 - 2 + 2*k - 5. 7*k - 2 Expand -a**4 + 3*a**4 + 2*a**2 + 0*a**4 + (5*a**3 + a**3 - 5*a**3)*(4*a - 17 + 17). 6*a**4 + 2*a**2 Expand (35*g**2 + 263 - 263)*(0*g**2 + 2*g**2 + g**2). 105*g**4 Expand (-2 - h + 2)*((1 - h**2 - 1)*(2 - 2 + 2*h) + 2*h**2 + h**3 - 2*h**2). h**4 Expand (2 - 1 + 1 + (-1 + 1 - 1)*(-1 + 0 + 3) + 0 - 3 + 7)*(3*x - x - x)*(-13*x + 2*x - 20*x)*(-2 - 1 + 5). -248*x**2 Expand (-2*l**2 + 0*l**2 + 0*l**2)*(-2*l**2 + 3 - 3 + (-3 + 3 + 4*l)*(-l + 0 + 0)). 12*l**4 Expand -10*c**4 - 6*c**5 + 10*c**4 + (2*c - 3*c - c)*(0*c**4 - 3*c**4 + c**4) + 0 + 0 - 3*c**5. -5*c**5 Expand (2 - 4 + 1)*(-2 + 2 + 2*g)*(-3*g**2 + 3*g**2 - 25*g**2). 50*g**3 Expand (-7 + 7 + t)*(0 + 0 - 3) + 2 + 0*t - t + 0. -4*t + 2 Expand 14700*i**4 - 14700*i**4 - i**5 - 19*i**3 - 3*i + 2*i**5 - 2*i**3 + 2*i**3 + (-4*i**2 + 0*i**2 + 2*i**2)*(i - i - i**3) - i**5 - 4*i**2 + 4*i**2. 2*i**5 - 19*i**3 - 3*i Expand 2*h + 0*h - 4*h + (-1 - 1 + 4)*(-3*h + 2*h - h) + 3309 + 27*h - 3309. 21*h Expand (0*d**2 + 4*d**2 - 6*d**2)*(-6*d - d + 3*d). 8*d**3 Expand 2*d**2 - 1 + 1 + (0 + 1 - 2)*(0*d**2 + 6*d**2 - 5*d**2) + (-4*d - 2*d - 2*d)*(3*d - 5*d + d) + 2*d**2 + 4 - 4. 11*d**2 Expand 3*z - z - z + (2 + 2 - 2)*(-2 + z + 2) + (0 - 3 + 5)*(1 - z - 1) - 3*z + z - 5*z. -6*z Expand (4 + 0 - 2)*(3 + i - 3) + 7*i - 3*i - 3*i + (-3 + 5 - 3)*(-3*i + 2*i + 0*i) + 4*i - 5*i + 0*i - 13*i - 11*i + 17*i + 2. -4*i + 2 Expand (1 - l**2 - 1)*(l**3 - 3*l**2 + 3*l**2) - l**5 + 2*l**5 - 2*l**5 + (2*l**2 + l**2 - 2*l**2)*(-2*l**3 - 2*l**3 + 3*l**3). -3*l**5 Expand (0*f**2 - 2*f**2 + 3*f**2)*(0*f + 2*f - f)*(-5*f + f - 16*f). -20*f**4 Expand -4*j + 3*j - j - 2 + j + 0 + 4 + (j + 0*j - 3*j)*(2 + 3 - 7). 3*j + 2 Expand (-5 + 4 - 1)*(-2*b**2 + 2*b**2 - 4*b**4 - 2*b**2). 8*b**4 + 4*b**2 Expand (-3*z**3 + 3*z**3 + z**3)*(-z - 1 + 1 + (4 + 0 - 2)*(-12 + 6*z + 12)). 11*z**4 Expand n**5 - 3*n**5 + 3*n**5 + (4*n**4 - n**4 - 5*n**4)*(-5 - 2 + 2*n + 4). -3*n**5 + 6*n**4 Expand 3*x**2 + 2*x**4 - 3*x**2 + (-2*x**3 - x**2 + x**2)*(0*x - 2*x + 0*x) + x**3 - x**4 - x**3 + x**4 - x**3 + x**3 + (3 + 0 - 1)*(x**4 - 3*x**4 + x**4). 4*x**4 Expand (-s + 6*s - 4*s)*(2 + 2 - 6) + 2*s - 4*s + 0*s - s - 6*s + 3*s + (3*s - 3*s + 2*s)*(0 - 3 + 5) + s + 0*s - 3*s - s + 0*s + 0*s. -7*s Expand (-5*j + 3*j + j)*(83 + 7*j - 12*j + 4*j)*(-4 - 2*j + 2 + 3*j). j**3 - 85*j**2 + 166*j Expand (d - d + 2*d)*(2 - 2 + 2) + 319 - 85*d - 319. -81*d Expand (3*y - 3*y - 4*y)*(-2 - y**2 + 2*y**2 + 0*y**2 - y**4). 4*y**5 - 4*y**3 + 8*y Expand j - 2*j - j + (-2*j - 4 + 4)*(4 - 2 + 1) - 2*j - 2 + 2 + 3. -10*j + 3 Expand (23 + 84*t - 23)*(t - 2*t + 2*t). 84*t**2 Expand (-2*u - 5*u + 3*u)*(3*u - 5*u + 3*u)*(-3 + 0 + 4). -4*u**2 Expand 36*p + 14 - 30 + 15 + p - p + p + (-2 - p + 2)*(3 + 0 - 4). 38*p - 1 Expand (4 - 3 - 3)*(-2 - 1 + 5)*(-1 - 2*w + 1). 8*w Expand (10 - 13 + 26)*(2*n**2 + 2*n**2 - 7*n**2 + (2*n + 2 - 2)*(n - 2 + 2)). -23*n**2 Expand (-2 - 2 + 3)*(2 - 2 - m**3) + 3*m**3 + m**2 + 4 - 4 - 3*m**3 + 3*m**3 - 2*m**3. 2*m**3 + m**2 Expand (-2 + 0*s**3 + 5*s**4 - 2*s**3 + s**3)*(0*s + 0*s + s). 5*s**5 - s**4 - 2*s Expand (-7*j**3 + j**3 - 7*j**3)*(6*j - 2*j - 3*j). -13*j**4 Expand ((-3 + 3 - 2)*(-3 - 1 + 2) - 4 - 3 - 1)*(p**2 - p**2 - p**2). 4*p**2 Expand ((2*n + 3*n - 3*n)*(-5 + 1 + 3) + 1 - 1 - 2*n + 0 + n + 0 + 2*n + 4*n - 5*n)*(2 + 5*n - 3 - 1). -10*n**2 + 4*n Expand -2*h + 3 + 0*h + 0*h + (-2*h + 2 - 2)*(1 - 4 + 4) + 1 - 1 - 2*h + 0 + h + 0. -5*h + 3 Expand 0*m**2 + m**2 - 3*m**2 + (-2*m**2 + 0*m**2 + 0*m**2)*(2 + 2 - 1) + 2*m**2 + 1 - 133*m + 133*m. -6*m**2 + 1 Expand (2 - n - 2*n + 0*n)*(n**2 + 2*n**2 + 7*n**2). -30*n**3 + 20*n**2 Expand (-1 - 14*t**4 - 6*t**4 + 15*t**4)*(t + t + 0*t). -10*t**5 - 2*t Expand (6*g**5 - 15 + 15)*(3 + 0 - 5). -12*g**5 Expand b - 3*b**2 - b - 3*b**2 + 6*b**2 - 2*b**2 - 2*b**2 - b**2 + 2*b**2 + (b - 3 + 3)*(2 - b - 2) + (3*b**2 - 2*b**2 - 2*b**2)*(-5 + 6 + 2). -7*b**2 Expand (-6*s**2 - 5*s**2 + 5*s**2)*(2 + 0*s - 2*s + s). 6*s**3 - 12*s**2 Expand -2*v - 7 + 7 + (-2 + 1 + 0)*(4*v - 2*v - 3*v). -v Expand (2 - 1 - 3)*(-144*g**3 - 147*g**3 + 280*g**3). 22*g**3 Expand (31*r**3 + 111*r**3 - 44*r**3)*(-3*r + 2*r + 2*r). 98*r**4 Expand (2*f**2 - 2*f**2 - f + f**3)*(-2 + 108*f + 4*f**2 - 108*f). 4*f**5 - 6*f**3 + 2*f Expand ((-3*l + l + 4*l)*(0 - 3 + 1) - 2*l - l - l)*(0*l + 0*l + l). -8*l**2 Expand (3 - 3 - 2*b)*(3 - 5 - 1)*(4*b**2 - 2*b**2 - 5*b**2). -18*b**3 Expand (-3 + 0 + 5)*(4 + 4 - 5)*(-2*x**2 + 0*x**2 + 0*x**2) - 3*x - 2*x**2 + 3*x. -14*x**2 Expand (-3*b + 8*b + 5*b)*(-2*b + 3 - 2 + b). -10*b**2 + 10*b Expand (-14 + 20 + 7)*(5*t**2 - 2*t**2 + t**2)*(t**3 + 2*t**2 - 2*t**2). 52*t**5 Expand (-4*i**2 + 2*i**2 + i**2)*(-i - 6*i + 2*i). 5*i**3 Expand 7*b**3 + 2*b**3 - 4*b**3 + 3*b**3 + 3*b**3 - 5*b**3 - 2*b**3 + 4*b**3 - 3*b**3 + (2*b**2 + 0 + 0)*(-2*b - b + 2*b) - b**3 + 3*b**3 + 0*b**3. 5*b**3 Expand h - h + 2*h + 6*h - 6*h - h + (-1 + 0 + 3)*(0*h - 4*h + 3*h) + (-4 + 1 + 4)*(-3*h + 0*h + 2*h). -2*h Expand (-3 + 1 + 0)*(-3*k + 13*k + 14*k) - 3 + 3*k + 4 - 4*k. -49*k + 1 Expand (2 - 2 - 1)*(2*k - k + 0*k) + k - 3*k + 0*k + k - 3*k + 3*k + (-2 + 1 + 3)*(-3*k + 5*k - 3*k). -4*k Expand -5*b**2 + 5*b**2 - b**2 + (-4*b - 4*b + 6*b)*(-2*b + 0*b + 0*b). 3*b**2 Expand (-2*p + p**3 + 2*p)*(-2*p**2 + 0*p**2 + 4*p**2) - 465*p**3 + 465*p**3 + 128*p**5. 130*p**5
{ "pile_set_name": "DM Mathematics" }