text
stringlengths
270
8.19k
meta
dict
e f(t). -19 Let a = -1215 - -1222. Let n(z) = 2*z**2 - 23*z + 66. Determine n(a). 3 Let q(a) = -a + 36. Suppose 0 = -2*x - 3*y + 30, -5*x + 112 = -3*y - 5. What is q(x)? 15 Let y(r) = -38 - 18*r + 37*r + 0*r + 71 - 35. What is y(1)? 17 Let x(c) = 5273*c**2 - 1 - 18*c**3 + 0*c - 5270*c**2 + 0*c. Calculate x(1). -16 Let m = -162 + 164. Let b(l) = 4*l**m - l**3 + 5*l**2 + 3 - 14*l**2 + 6*l. Calculate b(-6). 3 Let w(l) = 2*l + 4. Let f(c) = 30*c + 39. Let q(b) = 14*b + 19. Let z(t) = -2*f(t) + 5*q(t). Let g(j) = 9*w(j) - 2*z(j). Calculate g(-4). 10 Suppose s - 9 = -0*s. Let m(l) = -5*l**3 - 34*l**2 + 10*l + 10. Let z(x) = -2*x**3 - 16*x**2 + 5*x + 6. Let i(h) = 3*m(h) - 7*z(h). Determine i(s). 24 Let x(s) be the first derivative of s**4/2 + 7*s**3 + 11*s**2/2 + 14*s - 2396. Determine x(-10). 4 Let d(k) be the third derivative of k**4/4 - 2*k**3/3 + 119*k**2. What is d(0)? -4 Let u(m) be the third derivative of -m**4/24 + 2*m**3/3 - 6*m**2. Suppose 0 = -4*c + 3*p + 2*p - 123, 0 = -p + 3. Let b = c - -35. Calculate u(b). -4 Let o(b) = -b**2 - b + 17. Suppose 24*g + 18 = 21*g. Calculate o(g). -13 Suppose 0 = -u + 4. Suppose 0 = -4*n - v + u + 8, -10 = n - 3*v. Let f(p) = 7*p + 41 - 74 + 2*p**n + 38. What is f(-5)? 20 Let a(w) = -3*w**2 + w. Suppose 3*k + 12 = 4*k. Suppose 3*c - k = 0, -4*c = 3*v + c - 35. Suppose -5*z = v*y - 15, 2*z + 6 = 2*y + 2*y. Determine a(z). -2 Let m(r) be the third derivative of 3*r**5/20 - r**4/12 + r**3/2 - 3*r**2 + 28. Let i(t) = -7*t**2 + t - 2. Let y(f) = -6*i(f) - 5*m(f). Determine y(2). -7 Let p(x) = -x**2 - 8*x + 16. Let f(i) = -i**3 - i**2 + 30*i + 49. Let w be f(-2). Determine p(w). 23 Let r(c) = -c**3 - 4*c + 7 - 3*c**2 + 2 - 7 - 3*c**2. Suppose 0*m = 4*m - 32. Suppose -m = 5*a + 5*g + 22, 0 = 2*a - 5*g + 5. Give r(a). -3 Let y(d) = -d**2 + 6*d + 23. Let v be y(-3). Let g(z) = -z**2 + z - 10. Let j(m) = m**2 - m + 4. Let x(c) = v*j(c) - 2*g(c). Give x(4). -20 Suppose 0 = 5*j + 3*t - 39 + 3, -12 = -3*j + 3*t. Let l = 239 + -240. Let n be (-2)/l - (j + -3 - -7). Let r(a) = a + 8. What is r(n)? 0 Suppose 5*r + 3 = -a, 3 = 4*a - r + 15. Suppose 2*n + 2*n = 4. Let g(y) = -n - y + 0 + 3*y**2 - 5*y**2. Determine g(a). -16 Let x(d) = d**2 - 10*d + 9. Let z = -363 - -1156. Suppose 0 = 788*w - z*w + 35. Determine x(w). -12 Let d(g) be the first derivative of -g**5/60 - 5*g**4/12 - g**3 + 199*g**2/2 + 122. Let v(r) be the second derivative of d(r). Give v(-8). 10 Let g(q) = q**3 + 89*q**2 + 182*q + 696. Let p be g(-87). Let d(t) = t**3 - t**2 - 2*t + 7. Determine d(p). 7 Let r(g) = 7*g - 37. Suppose 0 = -y - c + 2, -5*y - 4*c + 33 = 18. Give r(y). 12 Let w be (-3)/2*(-16)/12. Let f(g) = g**2 + 2*g - 7*g + g - w + 1. Suppose 15*k = 4*k + 22. Give f(k). -5 Let t(v) be the first derivative of -3*v - 1/4*v**4 + 45 - 3/2*v**2 - 7/3*v**3. Give t(-6). -21 Let c(y) = -y**2 + y - 1. Let r(l) = -16*l**2 + 28*l. Let x(j) = -30*c(j) + 2*r(j). Determine x(14). 2 Let i(w) be the first derivative of w**2/2 + w + 96. Suppose a = -3*h + 1, h + 3 = -a + 2. Let n be (-1)/((-6)/(-5) - h). Give i(n). -4 Let s(j) = 38*j**3 - 64 + 8*j**3 + 10*j**2 - 42*j**3 - 3*j**3 + 3*j. Calculate s(-9). -10 Let a(x) = x**2 - 2*x - 1. Let o(d) = 4*d**2 - 13*d + 20. Let n(m) = -10*a(m) + 2*o(m). Determine n(-7). -6 Let m be ((-2)/(-4))/(3/6). Let i = -300 - -302. Let o(k) = -3*k**i - 233*k - 8*k**2 + 233*k. Give o(m). -11 Suppose 0 = -5*c + 5*s - 4*s + 49, 28 = -7*s. Let a(l) = l**3 - 10*l**2 + 9*l + 10. Give a(c). 10 Suppose -24 = -9*o - 15. Suppose 3 = 4*v - o. Let l be 0*(-4)/8 - v. Let i(y) = 3*y**3 + y**2 - y - 1. Give i(l). -2 Let o be (969/(-342))/(1/6). Let j(w) = w**3 + 15*w**2 - 31*w + 19. Calculate j(o). -32 Let h = -331 - -325. Let x be -7*(-12)/36*h/(-2). Let t(s) = 3*s - 25. Calculate t(x). -4 Let l = 573 - 573. Let r(z) = -2*z**2 + 10. Let p(i) = -i**3 + i**2 - i. Let f(v) = -p(v) - r(v). What is f(l)? -10 Let w(t) = t**2 - 7*t + 6. Let a(s) = 3*s**2 - 11*s + 10. Let x(h) = -4*a(h) + 7*w(h). Give x(-4). -58 Let a(r) be the second derivative of 29*r**3/6 - 112*r**2 + 3473*r. Give a(8). 8 Suppose 3*c + 120 = 12. Let x be 9/(-11) + 1 + c/(-44). Let s(a) = 2*a**3 + a**2 + a - 1. What is s(x)? 3 Let n(d) be the second derivative of d**3/6 + 6*d**2 - 79*d + 1. Calculate n(-14). -2 Let l(u) = -2*u - 7. Let y(v) = -v - 1. Let a(m) = l(m) - 3*y(m). Suppose 0 = -h - 62 - 44. Let r = h + 109. Give a(r). -1 Let b(m) = 19*m**2 + 12*m - 12. Let r be b(-7). Let f(d) = -3 - 7 - 836*d + r*d. Give f(-10). 0 Let t(i) be the first derivative of 2*i**2 - 10*i + 3787. Give t(3). 2 Let r(s) = -238349*s + s**3 + 238349*s + 2*s**2 + 3. Calculate r(-2). 3 Let o(y) = y**2 + 31*y - 33825 + 11275 + 11282 + 11321. Give o(-29). -5 Let j(y) = -8*y**2. Suppose -3*n - 30 + 3 = -4*q, 0 = 3*n + 4*q + 3. Let b(o) = -9*o**2. Suppose -3*i = -i - 8. Let v(g) = i*j(g) + n*b(g). Calculate v(-1). 13 Let s be (-6)/2 - 14*(7 - 10)/6. Let i(n) = 7*n - 23. What is i(s)? 5 Let a(v) be the third derivative of 2*v - 1/60*v**5 + 7*v**2 + 1/6*v**4 - 1/6*v**3 + 0. Determine a(3). 2 Let t(h) be the first derivative of -h**3/3 - 2*h**2 + 37*h - 51. Give t(-6). 25 Let i(w) = 109*w - 12. Let y(z) = 86*z - 11. Let q(b) = -4*i(b) + 5*y(b). Calculate q(-3). 11 Let n(g) be the third derivative of g**4/12 + 4*g**3 - 1252*g**2. Determine n(9). 42 Let p be 22/(-4)*(-20 - -22). Let f(u) = 2*u**2 + 18*u - 42. Give f(p). 2 Let d(b) be the first derivative of -b**4/4 - 17*b**3/3 + 17*b**2/2 - 18*b + 64. Give d(-18). 0 Let n(p) = -7*p - 2. Let d(y) = -54*y - 10. Let l(s) = -d(s) + 6*n(s). Suppose 6 = 4*w - 6*w. Give l(w). -38 Suppose -3*z + 13 = 10. Suppose 0*h - 2*a + 27 = 5*h, h + 2*a = -z. Let c(g) = -g**2 + 7*g - 3. Calculate c(h). -3 Let w be 4*1 - (26 - 28). Let p(q) = w*q**2 + 3*q - 3*q**2 - 1 + q - 2*q**2 + 3*q. Let l be (3 - -2)/(-2 + 1). Determine p(l). -11 Let z = -899 + 1023. Suppose -31*d + 31 - z = 0. Let t(s) = -s**3 - 5*s**2 - s + 1. Calculate t(d). -14 Suppose 5*m - 8*m = -t - 20, -4*m + 4*t = -32. Suppose 3*x + 6 = 2*c, -2*c + m*x - 5*x - 2 = 0. Let k(l) = 2*l**2 + 5*l + 3. Determine k(c). 6 Let c(m) be the third derivative of -m**5/60 + 5*m**4/6 - 77*m**3/3 + 2*m**2 - 72. Let r(j) be the first derivative of c(j). What is r(9)? 2 Suppose 5*a = 4 + 16. Suppose 29 = a*s - p, 11*p + 17 = 2*s + 8*p. Let c(z) = z**3 - 8*z**2 + 4*z - 3. What is c(s)? -24 Let p(b) be the second derivative of b**4/12 - 13*b**3/6 + 6*b**2 - 13*b. Suppose 39*o + 30 = 42*o. What is p(o)? -18 Let h(a) = 36*a + 34*a + 2 + 32*a - 97*a. Suppose i = -2*i + 3. Let q be 3/2*(1 + i). Determine h(q). 17 Let b be (-2)/1*15/(-3). Let g be -1*(-8 + -1)/3. Let z(u) = u**3 - 3*u**2 + 12*u - g*u**2 - b*u. Give z(5). -15 Let c(y) = -5*y**3 - 24*y**2 + 34*y - 12. Let b(d) = 3*d**3 + 16*d**2 - 23*d + 8. Let f(u) = -8*b(u) - 5*c(u). Calculate f(6). 8 Let q(l) be the third derivative of -8*l**5/5 - l**3/6 - 3*l**2 + 39*l - 1. What is q(-1)? -97 Let y = -19802 - -19798. Let x(f) = 3*f**2 + 10*f + 3. Calculate x(y). 11 Let o(g) be the third derivative of -g**5/60 + g**4/12 + g**3/2 + 2*g**2. Suppose -52315*j + 52336*j + 42 = 0. Give o(j). -5 Let p(g) = g. Suppose 3*s = a - 3, 5*a - 5*s - 18 - 7 = 0. Suppose -30 = 30*k - 25*k. Let y be (a/(-5))/((-7 - k)/(-5)). Calculate p(y). -6 Let d(a) = -3*a**2 + a. Let r(y) = 15*y**2 - 7*y. Let c(v) = 26*v + 235. Let i be c(-9). Let n(k) = i*r(k) + 6*d(k). What is n(-1)? -2 Let r(v) be the third derivative of -v**4/8 + 11*v**3/3 - 1389*v**2. What is r(9)? -5 Let o(v) be the first derivative of 6*v**2 + 22*v - 3853. Calculate o(-3). -14 Suppose 0 = 6*g - 2*p - 28, -4*g + 13*p = 11*p - 16. Let c(h) = -3*h - 10. Give c(g). -28 Let w = 8 - 2. Let z(l) = -7*l. Let r(t) = -8*t. Let j(g) = w*r(g) - 7*z(g). Let h = 2 - 6. What is j(h)? -4 Let w(r) = -1 - r**2 + 6*r + 4*r - 4*r - 2. Let h be (-10)/65 - 148/52. Let x(k) = -2*k - 3. Let t be x(h). Calculate w(t). 6 Let c = 5162 - 5164. Let n(f) = f**3 + 2*f**2 - 2*f + 1. Determine n(c). 5 Suppose 1196 + 1477 = 194*q + 3837. Let m(r) = 6*r + r - 3*r + 24. Determine m(q). 0 Let a(m) = m**2 + m. Let p(x) = 4*x**2 + 5*x - 3. Let f(z) = 10*z + 229. Let b be f(-23). Let v(y) = b*p(y) + 3*a(y). Give v(2). -5 Let m(g) = -g**2 - 6*g + 6. Let f be (198/(-27))/((-2)/9). Suppos
{ "pile_set_name": "DM Mathematics" }
3). -12*w**4 Expand (-2 + 0 + 0)*(f - f - 6*f**3 + (-2*f - 4 + 4)*(4*f**2 - 2*f**2 - f**2)). 16*f**3 Expand (0 - 6 + 4)*(2*j**4 + 0*j**3 + 0*j**3) - 3*j**4 + 6*j**4 - 19*j**4. -20*j**4 Expand (0*l + 0*l + l)*(8*l - 8*l + 8*l**3)*(-4*l + 3 - 3). -32*l**5 Expand 0*o + 2*o**5 + 0*o + (-2*o**5 + 0*o**5 + 3*o**5)*(-7 - 3 + 5). -3*o**5 Expand 3 + 2*o - 3 + (2*o - 4*o + o)*(-2 + 1 + 2) + 6*o - 5*o + o - o - 4*o + o + 0*o - 3*o - 3*o - o + 0*o + 0*o + (-3 + 3 + 2*o)*(1 + 1 + 0). -4*o Expand (4*f - 3 + 3)*(-3 + 0 + 1). -8*f Expand (2*b + b + 0*b)*(6*b + 5*b + 4*b). 45*b**2 Expand (-2*h**3 + 5*h**3 - 4*h**3)*(3*h + h + h)*(3*h - 5 + 4 + 2). -15*h**5 - 5*h**4 Expand (-k - k + k)*(0 - 2*k + 0) - 3*k**2 - 6*k**2 + 0*k**2 + (0 + 0 + k)*(k + 4*k - 4*k). -6*k**2 Expand -3*g**3 + 0*g**3 + g**3 + (-2*g + 3*g - 5*g)*(-5*g**2 + 2*g**2 + 2*g**2) - 2*g**3 + g**3 + 3*g**3 + g**2. 4*g**3 + g**2 Expand (-1 + 2 + 2)*(0 - 1 + 3)*(-6*j - 5*j + 0*j). -66*j Expand (-38*r + 24*r - 15*r - 2)*(1 - 6 + 3)*(0*r**2 + r**2 + 0*r**2). 58*r**3 + 4*r**2 Expand (-2*g**2 + 4*g**3 + 2*g**2)*(0*g + g + g)*(1 + 3 - 2). 16*g**4 Expand 0*o + 2 - 3*o + o + (-1 + 1 - o)*(-3 + 6 - 1). -4*o + 2 Expand (f - 3*f + 3*f)*(-2*f**2 + f**2 - f**2) - 23*f**3 + 34*f**2 - 34*f**2 + (-2*f**2 + f**2 + 3*f**2)*(5*f - 2*f - f) + 0*f + 0*f - f**3. -22*f**3 Expand (-2*k**2 - 3*k**2 + 8*k**2)*(k + 6 - 6 - 2*k + 0*k + 0*k + (1 - 2*k - 1)*(0 - 1 + 2)). -9*k**3 Expand (0 - 2*o + 0 + (5 - 3 - 1)*(3*o - 5*o + 0*o) + 1 - 1 - o - 2 - o + 2)*(32 + 25 - 66). 54*o Expand (2*p - 2*p + 2*p)*(3*p - 3*p - 2*p) + (3 - p - 3)*(-p - 1 + 1). -3*p**2 Expand (2*n - 3 + 3)*(6 + 58 - 9). 110*n Expand -u**2 - 2 + 2 + (-1 - 1 + 1)*(6 - 3*u**2 - 6) + 4*u**2 - u**2 + 0*u**2. 5*u**2 Expand (-2*n**3 + 0*n**2 + 0*n**2)*(-12 - 16 + 5). 46*n**3 Expand (-1 + 1 + m)*(24*m**2 - m - 10*m - 21*m**2). 3*m**3 - 11*m**2 Expand ((4*k - 3*k + k)*(0 - 2 + 3) + 4*k - 7*k - k)*(-5*k + k - 2*k). 12*k**2 Expand (2*x**2 - 4*x**2 + 0*x**2)*(6 + 3*x**2 - 6) + 2*x**4 + x**3 - x**3. -4*x**4 Expand (-4*x**2 + 0*x**2 + 2*x**2)*(-5 + 6 + 8). -18*x**2 Expand ((-1 + 3 + 0)*(1 - 1 + 4) + 2 + 0 - 4)*(-2*g**2 + 0*g**2 + g**2). -6*g**2 Expand (0 - 1 + 0)*(-j - j + j) - 2*j + 3*j - 4*j - j + j - j - 4*j + j + 4*j + (-1 + 0 + 3)*(-2*j + j + 3*j) - 5 + 5 + j. 3*j Expand (-1 + 0 + 0)*(d - 3*d - 3*d). 5*d Expand (-k**2 + k - k)*(-19*k + 4 - 3*k - 3). 22*k**3 - k**2 Expand 0*y + 2*y - y - 4 + 4 + y + (2 - 1 + 0)*(-3*y + 0*y + 5*y) - 2*y + 6*y - y - 3*y + 4*y + 0*y + (1 - 2*y - 1)*(2 - 2 - 2) + 2*y + 3*y - 3*y. 14*y Expand (5*k**3 + 0*k**3 - k**3)*(-6*k - 4 + 4). -24*k**4 Expand w - 4*w + w + (3 - 21 - 9)*(3 - 3 + 2*w). -56*w Expand (1 + 1 - 3)*(4*r - 3*r + 0*r) + (r + 2*r - 2*r)*(0 + 1 + 0)*(1 - 3 - 3). -6*r Expand 0*i**2 - 3*i**2 + 5*i**2 + (-i + i - 3*i)*(12 - 12 + 12*i)*(-4 + 1 + 2). 38*i**2 Expand 14 + 29*w**2 + 9 - 21 + (-1 + 1 + 4*w)*(3*w - 4*w + 3*w). 37*w**2 + 2 Expand 3*c**2 + 10 - 2*c**4 + 16*c - 16*c + 3*c**4 - 2*c**4 - 2*c**4 - 4*c**4 + 0*c**4 + 2*c**4 + (-3 + 3 - 1)*(-1 - c**4 + 1) + 2*c**4 + c**4 - 2*c**4. -3*c**4 + 3*c**2 + 10 Expand (0 + 0 + i**5)*(6 - 4 + 5)*(1 - 4 + 2). -7*i**5 Expand (s**3 + 4*s**3 - 3*s**3)*(2 - 2*s - 2) + (2*s**4 - 2*s**4 - s**4)*(-1 + 0 + 3). -6*s**4 Expand (-5 + 1 + 5)*(-n - 3 + 3)*(-2 - 39 + 7)*(-3*n**2 + 4*n**2 - 2*n**2)*(2 + 3 - 4). -34*n**3 Expand 5*p**4 - p**4 - 2*p**4 + (-2*p**3 + p**3 + 0*p**3)*(-4*p + 0*p + 3*p) + p**3 - 2*p**4 - p**3 - 2*p**4 + 0*p**4 - p**4 + 0 + 0 - 2*p**4. -4*p**4 Expand (3 - 3 + 2)*(-4*r**4 - 5*r**5 + 4*r**4) + 6*r**2 - 4*r**2 - 2*r**5 - r**5. -13*r**5 + 2*r**2 Expand (-h**2 + 2*h**2 - 2*h**2)*(-2*h**3 - h**3 + 0*h**3) + 0*h**5 + h**5 + 0*h**5 + (3 + 2*h**2 - 3)*(2*h**2 + h**3 - 2*h**2). 6*h**5 Expand 5*z + 5*z - 5*z + (-2 + 0 - 1)*(0*z - 4*z + 3*z) + 4*z - z - z. 10*z Expand (4*y + 0*y - 3*y)*(-3*y**2 + 3*y**2 - 4*y**4) + (0*y + 2*y**3 + 0*y)*(0*y - 2*y**2 + 0*y) + 0*y**5 + 2*y**5 - y**5 - 4*y + 4*y + y**5. -6*y**5 Expand ((3*w - w + 3*w)*(5 - 1 - 2) - 3*w + 2*w + 0*w)*(0 - 3 + 5). 18*w Expand (x**2 + 2*x**2 - 2*x**2)*(-x**2 + 7*x**2 - x**2)*(-3*x - 2*x + 6*x). 5*x**5 Expand 4 + 2*y**2 - 5*y**2 + 2*y**2 + (0*y + 3*y - 2*y)*(3 - 3 - y). -2*y**2 + 4 Expand (w + 1 - 2*w + 0*w)*(0*w**2 - 3*w**2 + 2*w**2) + (-2*w**3 - 2*w**3 + 2*w**3)*(0 - 1 - 1) + w**2 - w**2 - w**3. 4*w**3 - w**2 Expand 2*p + 1 - 1 + (2 + 1 - 2)*(29*p - 16*p - 37*p). -22*p Expand (-r + r**2 + r)*(692 + 34*r - 692). 34*r**3 Expand (0 + 4 - 1)*(j + 3*j - 3*j) + (j - 2 + 2)*(1 - 2 + 3) + j - 3*j + 3*j. 6*j Expand (-1 + 0 - 5*h + 0)*(0 + 0 - 1). 5*h + 1 Expand ((q + 6*q - 5*q)*(5*q**4 - 3*q**4 + 0*q**4) + q**5 + 2*q**5 - 2*q**5)*(-1 + 6 + 0). 25*q**5 Expand (3*g - 4*g - 3*g)*(-4*g + 3*g - g)*(g - 3 + 6 - 4*g). -24*g**3 + 24*g**2 Expand (4 - 1 - 1)*(-3*w + 5 - 5)*(0*w**4 + w**4 + 2*w**4). -18*w**5 Expand -2*a - 3*a - 3 + 0*a + (0 - 3 + 2)*(2*a + 0*a - 3*a) + a + 1 - 1. -3*a - 3 Expand (-3 + 4 + 1 + (1 + 4 - 4)*(2 + 3 - 3) - 2 + 5 - 1)*(s + 0*s - 3*s**2 - s**2). -24*s**2 + 6*s Expand (0 + 1 + 2)*(-5*v + 3*v + 0*v) + (-1 + 2 + 1)*(0*v + v - 4*v). -12*v Expand (39*m + 55 - 55)*(-2 + 5 - 5). -78*m Expand (0*i**4 - 2*i**4 + 4*i**4)*(-1 + 4*i + 1) + 3*i**5 - 2*i**5 + i**5 + (-3 + 1 + 1)*(-2*i**5 - i**4 + i**4). 12*i**5 Expand (3 - 2 - 2)*(-6*x**2 + x**2 + 3 - x**3 + 2*x**2). x**3 + 3*x**2 - 3 Expand (0 + 5 - 4)*(1 - 3 - 1)*(5*v - 5*v + v)*(v**2 - 3*v**2 - v**2). 9*v**3 Expand 1 + i - 1 + (2 + 0 - 3)*(-3*i + 0*i + i) + 5*i + 2*i - 3*i + 3*i + 4*i - 5*i. 9*i Expand -9 - 7 - 4 - 2*n**2 + 1 + n**2 - 1 + n**2 + 4*n - 4*n + (0 + n + 0)*(-2*n - n + 4*n) + 0*n - 2*n**2 + 0*n. -n**2 - 20 Expand (-79*j + 70*j - 130*j)*(-2 - 1 + 2)*(-4 + 1 + 2). -139*j Expand 2023 - 2023 + 90*x**5 - 3*x**5 + 3*x**5 + 2*x**5 - x**4 + x**4 - 2*x**5 + (1 + 2*x - 1)*(1 - 1 - x**4) + x**5 + 2*x**5 - 2*x**5. 89*x**5 Expand (m**2 - 5*m**2 - 6*m**3 + 3*m**2)*(-2*m**2 - 4*m**2 + 4*m**2). 12*m**5 + 2*m**4 Expand (-10*s**4 + 4*s - 4*s)*(2*s - 2*s + s) + 4*s**5 - s**5 - 5*s**5. -12*s**5 Expand 3*r - 6*r + r + (-13 - 5 + 3)*(-2*r - 2*r + 6*r). -32*r Expand (-s - 2*s + 12*s)*(3*s**4 - 2 - 4*s**4 + 0). -9*s**5 - 18*s Expand (-2*n + 0*n + n - 1)*(2*n**2 + 3*n**2 - 3*n**2)*(-2*n**2 + 7*n**2 + 0*n**2). -10*n**5 - 10*n**4 Expand (5*m**2 - 2*m**2 - 4*m**2)*(-m - m + 3 + 3*m). -m**3 - 3*m**2 Expand (4*v - 3*v - 5*v)*(-262*v**2 + v**4 + 262*v**2 + v**3 - 3*v). -4*v**5 - 4*v**4 + 12*v**2 Expand (-6*c - 2*c + 10*c)*(-c + 1 - 1)*(1 - 2 + 3). -4*c**2 Expand (7*v - 2 - 1 - 8*v)*(3*v**3 + 0*v**3 - 2*v**3). -v**4 - 3*v**3 Expand y - 1 + 1 + (-2 + 1 - 1)*(0*y + 0*y + 2*y) - 2*y + 2*y + 2*y + 2*y - 5*y + y + (0 - 3 + 2)*(-3 + 3 - y) - 1 + y + 1 + y - 4*y + 2*y + y + 0*y - 5*y. -6*y Expand (-z + z**2 + z)*(0*z - 2*z + 3*z) + 7 - 2*z**3 - 2 - 4. -z**3 + 1 Expand (x**3 - 4 + 4)*(2*x - 4 + 1 + 55). 2*x**4 + 52*x**3 Expand 1 - w**2 - 1 + (1 + 0 - 2)*(-3*w + 3*w + 2*w**2) - w**2 + 5*w - 2 - 5*w. -4*w**2 - 2 Expand (-2*j + 5*j - 5*j)*(-2*j - 4*j + 2*j)*(4*j - 2*j + 2*j). 32*j**3 Expand (-3*f**3 + 3 - 3)*(-3*f + 3*f - 2*f**2) + (-2*f**2 - 3*f**2 - f**5 + 3*f**2)*(-5 + 3 + 1). 7*f**5 + 2*f**2 Expand (-w**2 + w**2 + 2*w**2)*(-17*w**3 + 27*w**3 - 77*w**3). -134*w**5 Expand -3*h**3 + 1 - h**3 + 6*h**3 + 0*h**3 + 0*h**3 - h**3 + (2*h**3 - 2*h**3 + 4*h**3)*(-4 + 3 - 5). -23*h**3 + 1 Expand (t - t + 2*t + 0*t + 0*t + 2*t + t + 2*t - 4*t + (3 - 3 - t)*(6 - 4 - 3) - 2 + t + 2 + t + 2*t - t + 4*t - 3*t + 0*t)*(-2*t - 5 + 5). -16*t**2 Expand -2 + 2 - 2*w**5 + (-w**2 + 2*w**2 + 0*w**2)*(-411*w + 411*w - 4*w**3). -6*w**5 Expand (-2 + 7 + 2)*(-x - 4*x + 4*x) - x - 3*x + 5*x + (-1 + 2 + 0)*(x - 1 + 1). -5*x Expand (16 + 4 + 16 + (1 + 2 - 2)*(-6 + 2 + 2))*(4 + 0 - 3)*(0 + 0 - h). -34*h Expand (-i**2 + 2*i**2 + 0*i**2)*(4 - 1 + 4 - 3 + 1 + 0 + (2 - 1 + 1)*(1 - 2 + 3)). 9*i**2 Expand 4*s**5 - 2*s**5 + 0*s**5 + (-2*s + 5*s - s)*(2*s**4 - s**4 - 3*s**4) - 2*s**5 + 0*s + 0*s. -4*s**5 Expand (0 - 2*v + 0)*(-4 - 19 - 13)*(-3 + 3 - v**2). -72*v**3 Expand 0*c + c**3 + 0*c + (2*c**2 - 1 + 1)*(-c - c + 0*c) + (3 - 2 + 4)*(-c**3 + 0 + 0). -8*c**3 Expand (r - r + r)*(r + r**2 - r)*(-16 - 3 + 12). -7*r**3 Expand 2*u**5 + 0*u**5 + 0*u**5 + 3*u**5 + 2*u**5 - 2*u**5 + (4*u + 0*u - 3*u)*(-u**2 + 2*u**4 + u**2). 7*u**5 Expand -5*u + 3*u + 0*u + (-
{ "pile_set_name": "DM Mathematics" }
mallest common multiple of n and 8. 8 Suppose -416 = -4*j - 276. Calculate the smallest common multiple of 240 and j. 1680 Suppose 10 = 3*w - 0*x - x, 2*w + 5*x - 35 = 0. Let g be 0/(-6) + (-2 - 0). What is the lowest common multiple of g/(-4) - 57/(-6) and w? 10 Let q = 2799 + -11289/4. Find the common denominator of q and -7/316. 316 Let i(g) = g**3 - 5*g**2 + 3*g - 5. Suppose 27*j - 30*j = -6. Suppose 9*k - j*k - 126 = 0. What is the least common multiple of k and i(5)? 90 Suppose 3*r - h + 101 = h, -5*h = 2*r + 80. Let m = r + 45. What is the lowest common multiple of 8 and m? 40 Let c = -2 + 12. Suppose 6 = -c*u + 12*u. Calculate the lowest common multiple of u and 7. 21 Let m = 108467/20 + -5419. Let p = -198031/12 + 16491. What is the common denominator of p and m? 60 Let s = -3/75643 - -6278897/13313168. What is the common denominator of s and -31/44? 176 Let o(n) = -5*n + 4. Calculate the smallest common multiple of 23788/939 - 16/(-6) and o(-4). 168 Let i be 12/(-18)*(-111)/(-6). Let f = -337/21 - i. What is the common denominator of -43/6 and f? 42 Suppose 0 = -5*t + 2*f - 2587, 0 = -t - 2*f + 6*f - 521. Suppose w - 6 + 4 = 0, -3*w - 394 = 5*p. Calculate the common denominator of -137/18 and 4/10 - t/p. 144 Suppose 0 = -3*o + 20 + 49. Suppose 0*f = o*f - 506. Let y(x) = 2*x + 4. What is the smallest common multiple of f and y(4)? 132 Suppose 2*n + 800 = 42*n. Suppose -2*h + 40 = -0*h. What is the least common multiple of h and n? 20 Let s(l) = -l**2 + 11*l + 5. Let b be s(11). Suppose -k = -4*q + 10, -2*k - b*q + 26 = -k. Calculate the smallest common multiple of k and 7. 42 Let f be (-9)/(-15) + (-57)/(-5). Suppose -224 = -f*w + 8*w. Calculate the lowest common multiple of 12 and w. 168 Let r = 72 - 37. Let u = -31 + r. Let g(f) = f**3 - 2*f**2 + 2*f + 4. Calculate the smallest common multiple of 18 and g(u). 396 Suppose -3*q + 24 = -0*q + 5*l, 3*q - 24 = 5*l. Calculate the lowest common multiple of q and 184. 184 Suppose -13*o = 56 + 35. Let k be (-2 - -911)*-1*-5. Calculate the common denominator of 2/o + k/840 and -76/3. 24 Let m be (-4)/(-5)*-1*-5. Suppose m*y - 4 = -0. Calculate the least common multiple of (y - -1 - -1) + -1 and 6. 6 Let w(q) be the first derivative of q**2/2 + q - 6. Calculate the least common multiple of 2 and w(1). 2 Let f(i) = -6*i - 20. Suppose 2*s - 10 = -2, 3*s = -2*c. What is the lowest common multiple of f(c) and 76? 304 Let m = 2/36784371 - -960231482029/220706226. Suppose 5*v = 2*o - 5*o - 13067, -v = -o - 4345. Let b = m + o. What is the common denominator of b and -39/4? 36 Let k = -8351543/6028320 - 2/62795. Find the common denominator of k and 1/9. 288 Let n = -11/7167 + 3691313/200676. Let f = -25/28 + n. Calculate the common denominator of 3/12*(-4 + 186) and f. 2 Suppose -3*h = 5*l + 7, -h + 7 = -3*h - l. Let d = -982 - -3022/3. What is the common denominator of (30/33)/(2 + h) and d? 33 Let n = 6162 - 67735/11. What is the common denominator of n and (40/(-15) - -2)/((-16)/612)? 22 Suppose 18 = 2*j + 3*q, -4*j - 3*q = -26 + 2. Calculate the least common multiple of j and 25. 75 Let m be (-11543)/20 + (-12)/4. Let g = -729 - -1307. Let w = g + m. Calculate the common denominator of w and -41/30. 60 Let q = 37247/6 + -6188. What is the common denominator of 1/(4/(20/45)) and q? 18 Let i(c) = -c**2 - c + 29. Let j be i(-6). Find the common denominator of 0 - -3*j/(-6) and (-1)/(-2)*55*-1. 2 Let m(l) = 7080*l. Let d be m(10). Let p be 549110/d - (-2)/3. Let h = p + -14/295. Calculate the common denominator of h and 31/11. 88 Find the common denominator of 89/28 and (-6)/(-20)*(-61610)/(-366). 28 Suppose 0 = -13*r - 69 + 4255. What is the lowest common multiple of r and 18? 2898 Let r = -592 - -1140. Calculate the lowest common multiple of 4 and r. 548 Let f = 103 - 99. Suppose -3*w = 3*g - 564, 3*g + 572 = 6*g - w. What is the common denominator of g/(-32) - (3 - f) and 57/10? 80 Calculate the common denominator of (-13)/((-104)/(-40)) - 201/(-12) and -1 + (-1 - 29/(-42)). 84 Suppose 3*m - 4 = -13. Calculate the smallest common multiple of (4/(-3))/(2/(-3)) and 18 - (-15 - m)/(-6). 16 Let j(d) = -26*d + 2. Let k be j(-3). Calculate the common denominator of 1 - ((-195)/k + -2) and 39/16. 16 Let b be ((-9)/27)/((-1)/174). Let l = b + -38. Calculate the smallest common multiple of l and 12. 60 Find the common denominator of 1162/(-138) + 166/1909 and -88/21. 21 Suppose 6*v - 97 = 35. What is the lowest common multiple of (2/4)/(10/360) and v? 198 Let c(o) = o**2 - 2*o - 9. What is the least common multiple of c(-3) and 42/5 + (-2)/5? 24 Let n = -832 + 1196. Calculate the smallest common multiple of 6 and n. 1092 Let p = 59/14 - 470/119. What is the common denominator of -59/136 and p? 136 Suppose -4*h + 5 = -15, 0 = 2*a - h - 5. Suppose -a*l + 12 = -c, 3*c + 2*l - 48 = -2*c. Let f = 9 - c. What is the smallest common multiple of f and 11? 11 Suppose i - 3*x - 27 = 0, 2*i + x = -6 + 25. Let b = 6 - 34. Calculate the common denominator of 220/i*(-6)/b and -45/16. 112 Let b = -10577 - -190313/18. What is the common denominator of 23/66 and b? 198 Suppose 0 = 1104*t - 1099*t - 20. Calculate the lowest common multiple of t and 60. 60 Let o = 19 - 8. Let m be -2*(4/8 - 3). Suppose -9*s + m*s + 8 = 0. Calculate the lowest common multiple of o and s. 22 Let p = 273 - 245. Calculate the least common multiple of 6 and p. 84 Suppose -4*c + 40 = -2*c. Let j be (180/(-8 + 2))/((-6)/4). Suppose 2*s = 4*t - s - 84, -5*s - j = 0. Calculate the smallest common multiple of c and t. 180 What is the least common multiple of 126 and 1 + ((-7320)/(-10))/6? 5166 Let p = 11 + -9. Suppose p*i = i + 12. Suppose 0 = -4*v - i, q + 2*v - 35 = -0*v. Find the common denominator of -9/7 and q. 7 Suppose -27*d + 11*d + 48 = 0. Calculate the least common multiple of d and 15. 15 Suppose 9 + 321 = -6*l. Let y = 61 + l. What is the least common multiple of y and 6? 6 Let j = -148813 - -17857429/120. What is the common denominator of j and -93/20? 120 Let z be (-946)/(-77) + 4/(-14). Let j = -8 + z. Suppose 16 = 5*o - j. Calculate the smallest common multiple of 3 and o. 12 Let m = 14225/14 - 1021. Calculate the common denominator of -107*(-2)/(-12) - -1 and m. 42 Let v(p) = -p**2 + 4*p + 5. Suppose 4*s - s - 12 = 0. Let r(m) = -8*m + 275. What is the lowest common multiple of r(33) and v(s)? 55 Let n be (-5)/(2 - 4262)*3. Let j = 10933/284 + n. Calculate the common denominator of -1/16 and j. 16 Let w = -7319/112 + 991/14. Find the common denominator of (-16)/(-4) + (-76)/(-48) and w. 48 Let t(f) = 2*f - 11. Suppose 0 = -5*w - 2*o + 48, -w + 4*o + 0*o - 8 = 0. Calculate the lowest common multiple of t(w) and 7. 35 Suppose -3 + 18 = 5*j, l - 2 = -j. What is the lowest common multiple of (40/48)/(l/(-6)) and 3? 15 What is the least common multiple of (-1)/(((-1)/(-40))/((-9)/12)) and 12? 60 Let w = -1041407123273333/5296 + 196640318839. Let z = w + -1413/1324. Let f = -1000 + z. What is the common denominator of f and -85/6? 48 Let c be (4/3)/(2/3). Suppose c*w - 9 = 5. Suppose 0 = 4*t - w - 5. What is the smallest common multiple of t and 5? 15 Suppose -5*x - 4 = 2*k, 10*x - 8*x = -5*k + 32. What is the lowest common multiple of k and 14? 56 Let g = -18 - -124. What is the lowest common multiple of g and 6? 318 What is the least common multiple of 51 and -1*6/(-2)*136/51? 408 Let r be ((-7605)/(-132))/(-15) + (5 - 1). Let w = r - 97/22. What is the common denominator of w and 47/18? 36 Let a = 3 + -15. Calculate the least common multiple of ((-104)/(-6))/((-8)/a) and 5. 130 Let b = 409 + -387. Calculate the smallest common multiple of 30 and b. 330 Let i = -54/5 + -67/10. Suppose 2*s + 2*t - 278 = 3*s, 3*s - t + 854 = 0. Let k = -507/2 - s. Find the common denominator of k and i. 2 Let i be (-4)/6 - 200/(-3). Suppose -5*q - 4*m = -i, 4*m - 3 - 23 = -q. Let k(l) = -5*l + 6. What is the common denominator of -11/8 and k(q)? 8 Let m(n) = -n**2 - 63*n - 328. Calculate the smallest common multiple of 70 and m(-57). 70 Let k = -15 + 19. Suppose k*o = 47 - 15. Calculate the lowest common multiple of o and 10. 40 Suppose -16162 = -4*l + 17370. Let p = 50417/6 - l. What is the common denominator of p and 105/22? 66 Suppose -9 = 2*y + y.
{ "pile_set_name": "DM Mathematics" }
4/5 (3*-1)/(-79 - -80) -3 ((-6)/16)/(3/12) -3/2 What is (3 + (-10 - (-3 - -1)))/(-1)? 5 Calculate 16/(-100)*(-3)/(-6). -2/25 Evaluate 119/210 + 2/(-12). 2/5 What is ((-8)/(-2) - 4)*(13 - 12)? 0 What is the value of 2/(-6)*((-848)/(-64) + -11)? -3/4 (-4)/32 - (-1 + 100/(-32)) 4 What is (-6 - 894/(-108)) + (-2)/(-9)? 5/2 What is (1 - 1)/((-15)/(-5) + -2)? 0 What is (-2)/11 + 6/33? 0 What is 46/46*(-1)/5? -1/5 What is 32/64*(-6)/(-3)? 1 Calculate (-250)/(-65) + (-1 - (-45)/39). 4 Evaluate (-83)/9 + -2 + 11. -2/9 Calculate ((-14)/70)/(1/(-5)). 1 Evaluate 36/234 - 37/(-13). 3 ((-9)/30)/(0 - (-7)/14) -3/5 16/24 + 5/(-3) - 2 -3 Calculate 28/(-7) - 0/(-1). -4 Evaluate (-24)/(-108) - (-52)/(-153). -2/17 What is (-6)/18*(-30)/50? 1/5 What is (-9)/2*248/186? -6 What is the value of 6/28*(-448)/(-384)? 1/4 What is (6 - 1)*72/(-1980)? -2/11 What is (-3 - (-11)/((-44)/(-8)))*-4? 4 What is (-8 - -8) + 1*(2 + 2)? 4 Evaluate (-15)/(-10)*((-20)/(-15))/1. 2 What is (10/(4*(-5)/20))/2? -5 Calculate (-3)/6*-4 - 26/14. 1/7 (-97)/18 + 5 - (-2)/9 -1/6 What is (-1)/(2/8)*3/(-3)? 4 Evaluate (-140)/(-40)*(-3)/(-42). 1/4 What is the value of 9/27*(-2 - 22/(-14))? -1/7 Calculate ((15/(-6))/5)/(12/16). -2/3 Calculate ((-2)/(8/(-5)))/((-15)/(-9)). 3/4 Calculate 77/(-22)*1*24/70. -6/5 What is (124/(-310))/((-6)/(-20))? -4/3 What is the value of (-4)/(-8) + (-12)/8? -1 What is the value of (-4)/(-24)*(-4)/6? -1/9 What is the value of (5/(-30))/((-4)/6)? 1/4 ((-14)/3)/(-7)*(-6)/18 -2/9 Calculate 447/2384*(-1 + (-14)/(-6)). 1/4 Evaluate 4/(-78)*-13*(-1)/3. -2/9 What is 32/18 - (-7 + 9)? -2/9 (776/64 - 12)/(2/(-6)) -3/8 Evaluate (2/(-10))/(-65 + 64). 1/5 (-1 - -4) + -6*16/12 -5 What is (-22)/8 - 18/(-24)? -2 What is (155 - 159)*(-7)/4? 7 What is the value of 2/(24/26) + 10/(-60)? 2 What is the value of (-2 - 44/(-18))/(6/(-9))? -2/3 Evaluate (-80)/(16 - 6) - 4/(-2). -6 What is -2 + (63/(-12) - -7)? -1/4 Evaluate (-6)/162*-9 + (-8)/(-3). 3 Calculate (7 - 11)*(-12 + 14). -8 ((-10)/4)/(2/(-4)) 5 Evaluate (0 - (2 + (-60)/25))*1. 2/5 Evaluate (-7)/2 - 1/2. -4 Evaluate 48/27 + -2 - 43/9. -5 Evaluate 0 + -4 + 13 + -13. -4 What is ((-44)/(-12) - 3) + 169/39? 5 Evaluate (-6)/14 + (-438)/(-42) + -14. -4 4/(-10)*(-10)/((-10)/5) -2 What is the value of (-42)/28*(-100)/54 + -3? -2/9 Evaluate 2/(-6)*6/((-6)/(-3)). -1 Calculate 3 + 64/12*(-9)/15. -1/5 What is (4/(-4))/((-3)/15)? 5 What is the value of 7 + ((-23968)/210)/16? -2/15 Calculate 7 - (3*-2)/(-2). 4 What is the value of 6 - (0 - 12)/(-6)? 4 Calculate 6/48 - (4095/40)/(-13). 8 (-8)/10 + 86/43 6/5 Calculate (15/(-30))/((-3)/(-6)). -1 Evaluate 117/(-45) + (-2 - -4). -3/5 Calculate -10*9/(-990) - 4/22. -1/11 Calculate ((-10)/75)/((-1)/(-5)). -2/3 Evaluate 440/(-132) + (2/6 - 1). -4 (51/34)/(1/(4/3)) 2 (-11 - -12) + (-4)/10 3/5 Evaluate (160/(-840))/(2/3). -2/7 What is (-3)/(-4)*6*8/(-12)? -3 What is the value of 1*-2 + 8/42*12? 2/7 What is 369/(-36) + 6 - 1/(-4)? -4 What is the value of (-3)/(-9) + 36/54? 1 1*(-30)/(-24)*4 5 Evaluate (-85)/(-17) + -12 - (-58)/8. 1/4 Calculate (2/8 - 984/224) + 4. -1/7 5/6 - 9/486*9 2/3 What is the value of 192/(-140) + (-72)/(-90)? -4/7 What is 6*(-4)/24*4? -4 (-36)/(-240) - 4/10 -1/4 (3 + -4)*((-12)/4)/3 1 What is (-216)/56 - ((-54)/14 + 4)? -4 Calculate (-1)/(6 + 212/(-36)). -9 Evaluate ((-220)/16 - -14)/(-1). -1/4 What is ((-45)/(-6))/((-6)/(-4))? 5 What is the value of (-2 - (-32)/14)/(16/(-24))? -3/7 What is the value of -2 + 4 + (-2)/2? 1 Evaluate (2 + (-4)/1)/(12 + 4). -1/8 (((-9)/(-12))/(-3))/(-1 - -2) -1/4 Evaluate (-2 - 1)/(-3 - (0 + 0)). 1 What is (-5)/(-20) + 70/(-120)? -1/3 Calculate -12*1/(-28)*1. 3/7 40/50 - (-78)/15 6 Evaluate ((-830)/(-1245))/(1 - 1 - -8). 1/12 Calculate (-3 + 0 + 4)*-5. -5 What is 1*(-6)/8*4? -3 What is the value of 49/14*6/(-42)? -1/2 ((-6)/(-9))/((-4)/48) -8 Evaluate (-2)/(-6 + (-4)/(-1))*-1. -1 5 - 3495/663 - (-2)/13 -2/17 (-49)/84 - (-2)/8 -1/3 What is 47/(-77) + (-9 - 707/(-77))? -3/7 What is 10 - 1 - (-32)/(6 + -14)? 5 (7 + -6)*0*2/(-4) 0 What is the value of 18/(-3) + (6 - 4)? -4 Evaluate 3/(-42)*-94 + -7. -2/7 Evaluate (16/(-32))/((-1)/(0 + -1)). -1/2 ((-2)/(-3))/(3/(-18)) -4 What is 6/10*4*(-40)/32? -3 Evaluate (42/(-50) - -1)/(92/230). 2/5 Evaluate (-48)/(-160)*16/(-6). -4/5 What is the value of 1 + (-18)/15*1? -1/5 0/(18/(-36) - (-2)/(-4)) 0 4/(-14) - 36/(-273) -2/13 What is the value of 8/28*(-168)/(-48)? 1 Calculate (35/5)/(25 - 26). -7 What is ((-24)/(-108))/(8/(-12))? -1/3 What is the value of 6/(-16) - 3/(-6)? 1/8 Calculate (-1273)/(-247) + 14/(-91). 5 Evaluate 6/4*(-8)/3. -4 Evaluate -3*10/(-15)*-2. -4 (-120)/442 + 26/221 -2/13 What is the value of 0 - (-8)/(-70) - 2/(-5)? 2/7 Evaluate ((-148)/(-20) + -7)*(-1 + -14). -6 What is (1 - (-3)/(-9))*(-2)/(-4)? 1/3 What is the value of ((-290)/(-232))/(4/(-16))? -5 (-5)/(15/(-2))*(-105)/(-14) 5 ((-2)/(-40)*-6)/((-9)/(-6)) -1/5 What is the value of 4/40 - (-6)/15? 1/2 What is 4 + -2 + (-24)/(-3 - -7)? -4 Calculate -24*(-6)/63 + -2. 2/7 Evaluate (-49 - -50) + 2*(-2 + 1). -1 Calculate ((-3)/2 + 1)/((-1)/(-8)). -4 What is the value of (-1)/((-35)/14 - 3)? 2/11 Evaluate 6 + -3 + -7 + 2. -2 45/(-54)*(-20)/6 + -3 -2/9 Calculate 72/(-154) + ((-52)/91)/(-2). -2/11 Evaluate (-114)/27 + 2 + 4/18. -2 Evaluate (-5)/(-20) + (-39)/12. -3 What is (-10)/(620/14)*(-6)/21? 2/31 What is the value of (-8)/12 + (-1)/(-6)*10? 1 Calculate (-4)/6*12/24*33. -11 What is the value of (3/((-21)/2))/((-73)/511)? 2 ((-240)/8)/5 - -1 -5 Evaluate 3/(-6)*(1 - 2)*-6. -3 Calculate 27/45*(-70)/84. -1/2 Calculate (-150)/525*2*(-14)/64. 1/8 ((-174)/(-145))/(2/(-10)) -6 What is ((-150)/(-550))/((-1)/(-11))? 3 What is (0 + 2)/(8/16)? 4 Evaluate 3 - ((-103)/21 + 22/(-231)). 8 (8/30*20/(-8))/(-2) 1/3 Evaluate 7*(-36)/(-42) + 5 + -11. 0 What is 2*((-42)/12 - -2)? -3 Calculate (2/7)/(3/84). 8 What is the value of (-3)/(-4)*(-24)/(-6)? 3 What is the value of (2 + 18/(-8))/(55/(-110))? 1/2 10/(-6) + 4444/(-606) -9 What is the value of 2/7 + (-7)/49? 1/7 Evaluate 10/50*-1 - (-24)/(-5). -5 Calculate 1404/(-273) - 2/(-14). -5 Evaluate (2 + -4)*(-3 + 1). 4 ((-24)/(-14))/((-60)/280) -8 Evaluate 2/6*324/(13 - -5). 6 Evaluate 21/(-7) + (-10)/(-3). 1/3 What is the value of ((-65)/(-39))/(20/12)? 1 104/(-10) - (-34 - -23) 3/5 What is (-3)/28 - -2*1/(-14)? -1/4 Evaluate (-5)/3*-3 + -2. 3 (-1)/4*5*(-36)/135 1/3 Evaluate (94/235)/(12/5). 1/6 Evaluate (-13 - 252/(-20)) + 2/5. 0 5/1 + (-17 - -15) 3 What is the value of (1/(4/4))/4? 1/4 Calculate (-4 - (-105)/25)/(6 - 5). 1/5 What is the value of 2/(-9) - (-200)/252? 4/7 What is the value of (1 + -4)*15/9? -5 -12 + 6 - (-24 + 18) 0 What is the value of (-2 - 15/(-5))*(-1)/(-1)? 1 What is (-5*(-2)/(-4))/(-2 + 1)? 5/2 (-2)/70*-10*10/(-4) -5/7 What is the value of (-2 - -6 - 2)/((-2)/3)? -3 What is the value of 60/(-45) + (-88)/(-60)? 2/15 What is -4 - (-46)/12 - 24/(-9)? 5/2 What is the value of 2/(-16) - (-3285)/360? 9 Evaluate (72/(-15))/(-3)*(-2)/8. -2/5 Evaluate 2/(1*(32/(-12) - -3)). 6 Calculate ((-3)/5)/(168/(-15) - -11). 3 Calculate (-3 - 1)*12/24. -2 Evaluate ((-1)/(-3))/(24/(-16)). -2/9 1/2*(10 - 40)/5 -3 Calculate ((-12)/(-84))/((-5)/(105/6)). -1/2 What is the value of (-39)/12 + 3 - 0/2? -1/4 Evaluate (-1392)/(-580)*((-40)/(-6))/4. 4 Evaluate 3/(5 - (-7)/(210/(-132))). 5 Evaluate 5/((-220)/6)*24/(-18). 2/11 Calculate 50/8*(-8)/(-20). 5/2 What is 3/((-210)/(-145)) + 3/7? 5/2 (-3 - (-45)/18)/(-2) 1/4 Evaluate 435/420 + 6/(-8). 2/7 (-1736)/288 + 7 - 12/16 2/9 Calculate 1 + 2 + 2 + 6/(-2). 2 4*(-2)/10*(-10)/4 2 Evaluate (34/(-9) - (-18)/(-81)) + -1. -5 What is the value of 162/(-972) + (-4)/3? -3/2 What is 20/70 + 19*(-1)/42? -1/6 (0 - 0/(-8)) + 4 4 What is 7 - ((-40)/(-9)*3 + -7)? 2/3 Evaluate (-28)/(-63) - ((-116)/(-72) - 1). -1/6 What is (-8 - (2 + -3))*28/49? -4 What is -5 + 7 + -3 + (-7)/(-9)? -2/9 What is (-3*(-6)/(-9))/9? -2/9 Calculate (-126)/(-441) + (-34)/(-28). 3/2 What is (28/40)/((-119)/(-68))? 2/5 Calculate (-520)/(-91) + (-15)/21. 5 Evaluate (-4)/(-85)*(-9 + (-130)/(-20)). -2/17 What is (92/690)/(12/10)? 1/9 Evaluate (-3)/6 - (-18)/(-4). -5 Evaluate (4/(-3))/((-676)/78). 2/13 ((-2)/5)/(((-42)/30)/(-7)) -2 What is 2 + 176/(-70) - (-108)/(-378)? -4/5 Calculate (29/(-14) + 2)*6. -3/7 Calculate (-32)/
{ "pile_set_name": "DM Mathematics" }
2)**2*(t - 2)/3 Let j = -9 + 12. Let l(d) = d**3 + 3*d**2 - 7*d - 9. Let g be l(-4). Factor 6*x**j - x**2 - g*x**2 + 42*x**4 - 16*x**4 - 16*x**4. 2*x**2*(x + 1)*(5*x - 2) Let b = -224/285 - -250/57. Let w(j) be the second derivative of 0 + b*j**2 + 2/5*j**3 - 2*j + 1/60*j**4. Factor w(o). (o + 6)**2/5 Suppose -8 = 2*w, 0*c - 2*w = 2*c - 26. Let g be 16 + -20 - c*(-2)/6. Suppose -g + 2*h - 1/3*h**2 = 0. What is h? 1, 5 Let k = 1425069977/3237 - 1320727/3. Let a = -40/83 + k. Let 4/13*m + 56/13*m**3 - 10/13*m**4 - 66/13*m**2 + a = 0. What is m? -2/5, 1, 4 Let o(f) be the second derivative of 38*f + 0*f**2 + 1/9*f**3 - 1/12*f**5 + 1/42*f**7 + 1/36*f**4 + 0 - 1/90*f**6. Determine y, given that o(y) = 0. -1, -2/3, 0, 1 Let d be 23*(15/5 + 0). Let w = 231 - d. Determine n, given that -158*n**5 + 4*n**3 - 2*n**4 + w*n**5 - 6*n**4 = 0. 0, 1 Factor 1/3*i**4 - 1 + 2*i**3 - 14/3*i**2 + 11/3*i - 1/3*i**5. -(i - 1)**4*(i + 3)/3 Let s be (-72)/(-42) - 10/(-35). Suppose -18 = -4*y + 3*n, -4*y + 3*n - 7*n = -4. Find z such that -2*z**s - y*z + 5*z**2 + 4*z - 2*z**2 = 0. -1, 0 Let w(g) be the first derivative of 1/32*g**4 + 1/40*g**6 - 1/16*g**5 - 13/2*g**2 + 2 + 0*g**3 + 0*g. Let a(y) be the second derivative of w(y). Factor a(n). 3*n*(n - 1)*(4*n - 1)/4 Let a be (12/(-16))/(30/24)*-5. Factor 2388*x**5 - a*x**3 + 0*x**3 - 2391*x**5 - 6*x**4 + 0*x**3. -3*x**3*(x + 1)**2 Let i be (-114 + (-116400)/(-1020))/((-2)/(-22)). Find a such that 2/17*a**4 - 8/17 - 18/17*a**2 - i*a - 2/17*a**3 = 0. -1, 4 Let a = 33 - -41. Factor -6*t**3 + 78 - a + 4*t - 4*t**2 + 2*t**3. -4*(t - 1)*(t + 1)**2 Factor -3/2*r**2 + 513 + 1023/2*r. -3*(r - 342)*(r + 1)/2 Factor 2/5*h**4 - 4/5*h - 8/5*h**2 + 1/5*h**5 + 0 - 3/5*h**3. h*(h - 2)*(h + 1)**2*(h + 2)/5 Let g(u) be the third derivative of -u**6/40 + 3*u**5/2 - 119*u**4/8 - 75*u**3 - 942*u**2. Suppose g(q) = 0. What is q? -1, 6, 25 Let l(f) be the first derivative of -3*f**4/16 - 285*f**3/4 + 4922. Let l(m) = 0. What is m? -285, 0 Let j(w) be the third derivative of w**8/392 + 74*w**7/735 + 59*w**6/140 + w**5/15 - 15*w**4/7 - 88*w**3/21 + 30*w**2 - 43. Solve j(l) = 0. -22, -2, -1, -2/3, 1 Suppose 268 = 3*o - 5*f, -2*o + 188 = 4*f - 5*f. Factor 2*z + 313*z**2 - o*z**2 - 111*z**2 - 10 - 2*z**3 - 96*z**2 + 0*z**3. -2*(z - 5)*(z - 1)*(z + 1) Let b(u) = 43*u - 1200. Let d be b(28). Let z(y) be the third derivative of 2/21*y**7 + 0 + 0*y - y**2 - 3*y**d + 0*y**3 + 11/5*y**5 + 14/15*y**6. Factor z(x). 4*x*(x + 3)**2*(5*x - 2) Let s(x) be the first derivative of 1 + 25*x**3 - 27/4*x**4 - 104/3*x**2 + 64/3*x. Let s(v) = 0. Calculate v. 8/9, 1 What is j in 912*j**2 - 5 + 445 - 14*j**4 - 6*j**4 + 180 + 124*j**3 + 1520*j + 84 = 0? -2, -4/5, 11 Let c = 3571/155 + -3447/155. Factor c*f**2 + 24/5*f - 28/5. 4*(f - 1)*(f + 7)/5 Let v(i) be the third derivative of 2*i**2 + 1/15*i**5 + 2/3*i**4 + 0*i**3 + 0*i - 2/105*i**7 - 2/15*i**6 - 4. Factor v(r). -4*r*(r - 1)*(r + 1)*(r + 4) Let b(r) be the third derivative of r**6/360 + r**5/36 - r**4/72 - 5*r**3/18 - 1799*r**2. Determine m, given that b(m) = 0. -5, -1, 1 Suppose 5 = l - 0. Suppose 0 = 5*z - l - 10. Factor 2*f**4 + 0*f**4 + 0*f**4 + z*f**4. 5*f**4 Suppose 0 = -5*b + 4*r + 25142, 2*r + 20116 = 4*b - 0*r. Let u be b/(-850) - -13 - (-6)/51. Factor -2/5*p**2 - 162/5 - u*p. -2*(p + 9)**2/5 Let r(a) = 8*a**2 + 402*a + 700. Let d(u) = -18*u**2 - 805*u - 1450. Let k(j) = -6*d(j) - 13*r(j). Factor k(i). 4*(i - 100)*(i + 1) Let i be ((-17992)/(-10380))/((-2)/10) - (0 - 17). Determine p so that -i*p + 8 + 1/3*p**2 = 0. 1, 24 Let v(s) = -8*s**2 - 1176*s - 1183. Let g(n) = 10*n**2 + 1172*n + 1182. Let i(k) = 3*g(k) + 4*v(k). Factor i(a). -2*(a + 1)*(a + 593) Let g = 6573091/3 + -2191029. Suppose -5*z + 22 = -y, -2*y - 2*z - 3*z = -31. Suppose 0*u + 0 - g*u**2 + 2/9*u**y = 0. What is u? 0, 6 Let r be (-6)/45*(25 - 15)*-4. Factor -16 + 4*f**2 - 4/3*f**3 + r*f. -4*(f - 3)*(f - 2)*(f + 2)/3 Suppose -5*d + 3*v = 2*v - 11, -7 = -4*d - v. Suppose 0 = 175*f + 1086*f. Suppose -2/5*g + f - 2/15*g**d = 0. What is g? -3, 0 Let j(w) = w**3 + 4*w**2 - 3*w - 7. Let k be j(-4). Factor 9*n**2 + k*n**3 + 30*n**2 - 4*n**2 - 9 - 26 - 34*n + 29*n. 5*(n - 1)*(n + 1)*(n + 7) Let o = -96 - -99. Suppose p + 6 = t, 4*t - o*p + 2 = 23. Factor -27/7*n**2 - 6/7 - 3/7*n**4 - 15/7*n**t - 3*n. -3*(n + 1)**3*(n + 2)/7 Let m(d) be the first derivative of 3/4*d**4 + 76 + 4050*d**2 + 90*d**3 + 81000*d. Factor m(p). 3*(p + 30)**3 Factor -1260 + 32*i**2 + 3*i**2 - 2*i**2 - 1263*i - 36*i**2. -3*(i + 1)*(i + 420) Suppose 3*s - o = 48, -2*o + 5*o = 4*s - 69. Suppose 3*z - 32 + 7 = u, -s = -2*z - u. Solve 5*x**2 - 12*x + 2*x**3 + 4*x + 5*x**3 + 4 - z*x**3 = 0 for x. 1, 2 Let s be 342/36 + -1 + -8. Let q(u) be the second derivative of 1/20*u**5 + 0 - 1/4*u**4 - 26*u + 1/2*u**3 - s*u**2. Factor q(g). (g - 1)**3 Let l = -6/69035 - -690416/759385. Find g such that 2/11*g**4 + l*g**3 - 12/11 - 10/11*g + 10/11*g**2 = 0. -3, -2, -1, 1 Factor 936 + 8010*x + 212*x**2 + 7554*x + 7625*x - 22403*x + 18*x**3. 2*(x + 3)**2*(9*x + 52) Let c be -4*2/(-12) + (-6)/9. Let a be (c/(-2)*(-12)/(-24))/(-1). Factor 6 + a - j**2 - 2*j + 3*j. -(j - 3)*(j + 2) Let u(k) = 15*k**3 + 831*k**2 + 1536*k + 33. Let h(a) = a**3 + 52*a**2 + 96*a + 2. Let o(f) = 33*h(f) - 2*u(f). Determine p, given that o(p) = 0. -16, -2, 0 Suppose 6*z - 10*z + 3*p + 144 = 0, 4*p = -16. Factor -72*h**2 - 13*h**3 - 3 + z*h**3 + 28*h**3 + 27*h. 3*(h - 1)*(4*h - 1)**2 Let o(a) be the first derivative of -3*a**5/5 - 87*a**4/8 - 37*a**3/2 + 39*a**2/2 + 4419. Find m such that o(m) = 0. -13, -2, 0, 1/2 Factor 1/8*m**5 - 567/8*m + 243/4 - 9/4*m**3 - 3/4*m**4 + 27*m**2. (m - 3)**4*(m + 6)/8 Suppose 0 = -18*g + 9 + 27. What is j in -4*j**2 - 4*j**3 + 76 - 38 - 30 - 4*j**g + 4*j = 0? -2, -1, 1 Let i be 8/(-18) - (-248)/72. Suppose i - 15 = -6*b. Factor 8/5*p**3 - 24/5*p - 4/5*p**b + 2/5*p**4 + 18/5. 2*(p - 1)**2*(p + 3)**2/5 Let z(x) be the third derivative of x**7/420 + x**6/60 - 3*x**5/40 - 3*x**4/4 + 141*x**2. Let z(a) = 0. Calculate a. -4, -3, 0, 3 Factor 2/3*m**2 - 3512/3 - 584*m. 2*(m - 878)*(m + 2)/3 Let u(y) be the first derivative of y**7/3360 + y**6/72 + 5*y**3 + 70. Let o(c) be the third derivative of u(c). Determine v so that o(v) = 0. -20, 0 Let g(c) = c + 14*c**2 + 14*c + c**3 - c**3 - c**3. Let y be g(15). Determine k so that y + 3*k**3 - 3*k + 1 - 3*k**2 - 2 + 4 = 0. -1, 1 Let y be (-30)/4*(-256)/48. Let t = y - 37. Factor -20*u**4 - 5*u**4 - 95*u**t + 20*u - 40*u**2 + 12*u**4 - 22*u**4. -5*u*(u + 1)*(u + 2)*(7*u - 2) Factor -167*d - 25 - 171*d - 3*d**2 - 8 + 526*d - 152*d. -3*(d - 11)*(d - 1) Let j = -640 - -1023. Let l = 385 - j. Factor -1/8 - 1/8*b**4 + 1/4*b**l + 0*b**3 + 0*b. -(b - 1)**2*(b + 1)**2/8 Let g(o) be the second derivative of -o**4/18 + 40*o**3/3 + 956*o. Suppose g(q) = 0. What is q? 0, 120 Let x be 18/6 + (6/(-3) - -1). Let k(b) be the third derivative of -1/2*b**4 + 0 - x*b**2 + 1/15*b**5 + 0*b + 4/3*b**3. Factor k(o). 4*(o - 2)*(o - 1) Let w(o) = -23*o**2 + 3*o - 16. Let i(k) = 3*k**2 - 3*k. Let y(d) = -7*i(d) - w(d). Factor y(n). 2*(n + 1)*(n + 8) Solve 25 + 173/2*d - 7/2*d**2 = 0 for d. -2/7, 25 Suppose 2*t - 12 = -8. Suppose 14 - 18 = -t*k. Let -4*i + 2 - 7 + 3 - k*i**2 = 0. What is i? -1 Let l(k) = -1311*k - 19663. Let a be l(-15). What is h in 6/5*h + 1/5*h**a + 1 = 0? -5, -1 Let t(l) = -1777*l - 26653. Let s be t(-15). Factor 0*n**3 + 0*n + 0 - 2/7*n**4 + 0*n**s. -2*n**4/7 Let r(d) be the second derivative of d**5/20 - 53*d**4/36 + 122*d**3/9 - 70*d**2/3 - 178*d + 3. Suppose r(b) = 0. Calculate b. 2/3, 7, 10 Let j = -97213 + 97215. Solve -5/2*l + 1/4*l**j - 11/4 = 0. -1, 11 Let i(a) be the first derivative of -221 + 27/8*a**4 - 65/2*a**3 - 825/8*a**2 + 33/20*a**5 + 1125/4*a + 1/8*a**6. Suppose i(t) = 0. What is t? -5, 1, 3 Suppose -n - 5 + 4 = 0, -5*i - 4*n = 1439. Let g = 287 + i. Suppose 2/5*v**3 + 0*v + g*v**2 - 4/5*v**4 + 2/5*v**5 + 0 = 0. What is v? 0, 1 Let o(n) = -n**3 + 16*n**2 + 11*n - 78. Let a be o(14). Suppose -36*b + a = -108. Let 20/3*u**2 + 0 - 2/3*u**5 - 20/3*u**4 - b*u**3 + 50/3*u = 0. Calculate u. -5, -1, 0, 1 Let x(v) be the first derivative of 20*v**3/3 - 3484*v**2 + 2784*v - 1229. Factor x(n). 4*(n - 348)*(5*n - 2) Suppose 5*t = -2*y + 5, 32*y - 35*y
{ "pile_set_name": "DM Mathematics" }
684.1? -716209.2 -725591.5*-2 1451183 2641*-20.124 -53147.484 What is the product of -0.03 and -166813812? 5004414.36 22 * 51697289 1137340358 Work out -5520.91 * 205. -1131786.55 Product of -78.6534 and -0.1. 7.86534 Multiply 1477497 and -0.6. -886498.2 Calculate -47414*-0.1675. 7941.845 Product of -124020 and -1051. 130345020 Work out -27413 * 942. -25823046 Calculate -297691*0.06. -17861.46 Calculate 0.355238923*-2. -0.710477846 2.111 * -6214 -13117.754 What is the product of -6962 and 440.9? -3069545.8 Multiply 181175 and 0.1346. 24386.155 -0.43549 * -80 34.8392 Work out 4 * -0.01732764. -0.06931056 5 times -5.816802 -29.08401 Product of 8925296 and 0.3. 2677588.8 What is 35 times -42587? -1490545 -6*950820 -5704920 Product of 15697.2 and -351. -5509717.2 Calculate -104*-4794457. 498623528 -18 times -7250966 130517388 -652.8107 times -33 21542.7531 Work out -0.02 * -57.927589. 1.15855178 Work out 2.581 * -27285. -70422.585 1304 times 5858.6 7639614.4 What is the product of -67965.02 and -11.1? 754411.722 -25.5019 * 1.19 -30.347261 20131398 * 3 60394194 -0.358*-12802 4583.116 -69.5 times 2414.52 -167809.14 Work out 0.5 * -800845. -400422.5 Work out -3341 * 1160. -3875560 Calculate -347333032*0.4. -138933212.8 -29254 times -31 906874 -45.95 times -20 919 -1.461626 times 173 -252.861298 What is the product of 158 and -7426.73? -1173423.34 Work out 30797.9 * 0.28. 8623.412 193039 times -153 -29534967 What is 16.7 times 1652.23? 27592.241 Product of 3 and -1.0197242. -3.0591726 What is the product of -9610 and 1085? -10426850 What is the product of -1.406 and -42226.7? 59370.7402 Multiply 0.23 and 0.520374. 0.11968602 Product of -1.43074 and -0.011. 0.01573814 Calculate -0.4*0.0100917. -0.00403668 Multiply -1043 and 5691. -5935713 What is the product of -2 and -269.0585? 538.117 -18355.3 times -0.7691 14117.06123 Multiply 6685377 and 3. 20056131 118*0.00552727 0.65221786 Multiply 26928425 and -0.08. -2154274 -3 times 8329028 -24987084 What is the product of -0.08 and -611455? 48916.4 3300.864*-33 -108928.512 -1211587 times -0.01 12115.87 7047 times -0.1928 -1358.6616 Work out -118 * 1765.986. -208386.348 -3*91691.7 -275075.1 Product of 44609222 and 0.5. 22304611 Work out 10818915 * 0.3. 3245674.5 Product of 0.3291625 and 0.4. 0.131665 Multiply 646.979 and -0.3. -194.0937 -18.4 * -11417.3 210078.32 Product of 4 and -68452.51. -273810.04 What is the product of -3.163088 and -0.004? 0.012652352 Calculate 2*46452. 92904 -3065756 times 0.052 -159419.312 Work out 457 * 1513.7. 691760.9 -7619 * 11 -83809 641.05874*0.3 192.317622 Work out 0.4225 * -153.215. -64.7333375 What is 131469 times 4.7? 617904.3 4.9*7.3168 35.85232 Calculate -0.5067*-0.17343. 0.087876981 Calculate 0.2614*80940. 21157.716 Multiply -4135 and -0.14105. 583.24175 200779.721 * 5 1003898.605 Product of 15.737497 and -0.2. -3.1474994 What is -637 times -2.448? 1559.376 -56 * -58811 3293416 0.4*201258 80503.2 Work out -14 * 270292. -3784088 12613684*-8 -100909472 -0.008 times 0.009389 -0.000075112 9934.099 times -64 -635782.336 Multiply 485.28 and 537. 260595.36 -1.2342 * -0.0961 0.11860662 Work out -4070 * -424. 1725680 -810.7 * 4100 -3323870 -2053.4*7643 -15694136.2 460417*-23 -10589591 Calculate 1728*-9842. -17006976 What is the product of 0.2 and -58336152? -11667230.4 -11.522637 times 0.5 -5.7613185 0*-5976911 0 What is 368 times 4712? 1734016 Work out -535 * -96752. 51762320 72 * 393623 28340856 Multiply -759.14 and 689. -523047.46 -1327 times 0.4672 -619.9744 Multiply 423 and -204701. -86588523 Calculate -19536*-2729. 53313744 -4798964*-10 47989640 -8492627*-0.3 2547788.1 Work out 1.4021 * 0.25. 0.350525 What is -163470 times 0? 0 Product of -1414431 and -7. 9901017 0.00833624 times 0.08 0.0006668992 What is the product of -22.2 and 6103.542? -135498.6324 53 * 837198 44371494 Calculate 0.0921*-4.273. -0.3935433 What is the product of 0.206 and -28.1923? -5.8076138 -3349551.6 * -6 20097309.6 Work out -701.576 * -0.128. 89.801728 What is the product of -16 and -719296? 11508736 Multiply -838 and 0.64115. -537.2837 Multiply -19 and -236.166. 4487.154 Calculate 1.2*13985853. 16783023.6 Calculate -3508972*54. -189484488 What is 33.421809 times 0.5? 16.7109045 Calculate -0.27*1556.07. -420.1389 Calculate -1.1*455472. -501019.2 Multiply 0.29 and 3558.05. 1031.8345 What is -31948.485 times -0.2? 6389.697 -25140 * 9581 -240866340 What is -56 times -85.1749? 4769.7944 What is the product of 9.9 and -954? -9444.6 What is the product of -2841781 and -443? 1258908983 What is the product of -14.219 and 1.66? -23.60354 -32254*1.3804 -44523.4216 Product of 32 and 514592. 16466944 What is the product of -5043 and -0.04924? 248.31732 Multiply 0.2696 and -18057. -4868.1672 83561.68 * -1.1 -91917.848 0.8 times 47611.9 38089.52 Product of -0.17 and 0.21389813. -0.0363626821 Multiply -4696303 and -0.7. 3287412.1 Multiply 273 and 438876. 119813148 Calculate -4751*-20174. 95846674 What is the product of 36 and 7497.333? 269903.988 Multiply 0.06819 and 1987. 135.49353 What is 4 times 800269? 3201076 -0.44 * 2.31453 -1.0183932 20 times 481.157 9623.14 Work out 0 * 536.85809. 0 1270*-0.0369 -46.863 Multiply -13 and 7219894.6. -93858629.8 -5942961.9*-4 23771847.6 Work out 273 * 234908. 64129884 What is the product of 4 and -274869112? -1099476448 44743 * -5789 -259017227 What is -38 times -0.200002? 7.600076 Multiply -2 and -0.02496764. 0.04993528 120367*-16.64 -2002906.88 Multiply 1375 and 39.069. 53719.875 2 * 20946258 41892516 -1.2*0.08179189 -0.098150268 Multiply 158.478 and 8480. 1343893.44 Calculate -5680*-0.009513. 54.03384 -11.5083 * 0.027 -0.3107241 -35391979*-2 70783958 Product of 0.14 and 1160712. 162499.68 -16.64*1396 -23229.44 -1*-861684.2 861684.2 What is the product of -130943138 and -0.4? 52377255.2 109921 times -76.8 -8441932.8 Work out -5 * -185669.26. 928346.3 What is the product of 55066 and -199? -10958134 -0.02363*5655 -133.62765 Multiply -385506 and -6.53. 2517354.18 What is the product of -0.0351 and -26.99? 0.947349 42*-12.4927 -524.6934 Product of 3.62 and -63159. -228635.58 -15 * 665139 -9977085 What is 5371 times 1210? 6498910 Work out 0.23730592 * -5. -1.1865296 Product of -0.058 and 34324.1. -1990.7978 Calculate 978*112494. 110019132 87 * 0.0400879 3.4876473 What is -7836 times 203.04? -1591021.44 -6496409 * -0.6 3897845.4 Product of 10814224 and 0.1. 1081422.4 Calculate 2*80457079. 160914158 Calculate -976609.17*0.4. -390643.668 Work out 5545.5 * -1668. -9249894 Product of -625.494 and -0.11. 68.80434 21609 times 1513 32694417 Calculate -0.163667*-13. 2.127671 671.4 times 555 372627 What is -102749.2 times -1.25? 128436.5 Calculate -1790*-93163. 166761770 What is the product of -22686719 and 2? -45373438 What is the product of -3 and 10.2567724? -30.7703172 Calculate -12879442*0.065. -837163.73 What is 2401.13 times 112? 268926.56 -0.283762 times 126 -35.754012 Calculate -0.0691*-72021. 4976.6511 6814500*-0.5 -3407250 What is the product of -384.809 and 344? -132374.296 What is -18186252 times -0.1? 1818625.2 Calculate -1*-1567.593. 1567.593 Calculate -4.605*288.4. -1328.082 5111935 times -7.9 -40384286.5 Product of 0.07 and 72189324. 5053252.68 Calculate 2.7*-269.74. -728.298 261 * 88.811 23179.671 Multiply -26.2 and 1.3259. -34.73858 What is the product of 0.13 and 1656153? 215299.89 Calculate -572*8077. -4620044 Multiply -323 and -3394. 1096262 Multiply -1377.391 and 0.17. -234.15647 0.9 times 273.7183 246.34647 What is the product of -4735 and -24.69? 116907.15 Multiply -2 and 2329.16152. -4658.32304 What is the product of -417312 and -0.091? 37975.392 What is the product of 112 and 8027? 899024 Multiply 1 and -241566973. -241566973 1447.8114 * 0.1 144.78114 Multiply 0.2 and -458479.9. -91695.98 Work out -57.8 * -24264. 1402459.2 Product of 39 and 28.46745. 1110.23055 -2042418 times -16 32678688 Product of 0.165 and -2211259. -364857.735 Work out -106 * -43852.4. 4648354.4 What is -83944 times 15? -1259160 What is -0.2 times -60905727? 12181145.4 529257.63 * -2 -1058515.26 What is 1 times -49.035474? -49.035474 Work out -5.7 * -14246.07. 81202.599 Multiply 58003481 and -1. -58003481 Multiply 1 and 1091.78152. 1091.78152 3080.8 * -0.9985 -3076.1788 -0.123 * 2738843 -3
{ "pile_set_name": "DM Mathematics" }
5 (e) -0.032 e Which is the third biggest value? (a) -7 (b) -0.6 (c) 0.5 (d) 16 (e) 1/4 (f) -496 e What is the seventh smallest value in -1/6, -3, -358.7, 0.3, -0.4, 7/30, 5/4? 5/4 Which is the second smallest value? (a) 26 (b) 15.3 (c) 11/52 b What is the third smallest value in -1, -1.981, -215? -1 Which is the fourth biggest value? (a) 3 (b) 2/7 (c) 0.36 (d) -0.4 (e) -20.7 (f) 5/4 (g) 36 c What is the second smallest value in -0.1, -0.3, -1, -23646001? -1 Which is the fifth biggest value? (a) 2 (b) -2/3425 (c) -14 (d) -3 (e) -1/3 (f) 1 d Which is the fourth smallest value? (a) -234 (b) 4 (c) 59166 (d) -5 c Which is the second biggest value? (a) 64 (b) -2.9 (c) 3/5 (d) -0.4 (e) -1/34 (f) -0.2 c Which is the second biggest value? (a) -3/57703 (b) 4/7 (c) -23/4 (d) 11 b What is the fourth smallest value in 99, -1, 1/6, 169, -0.5? 99 Which is the sixth biggest value? (a) 4752 (b) 4/3 (c) -0.16 (d) -0.6 (e) -5/2 (f) -6 f Which is the second biggest value? (a) -11370 (b) -0.1 (c) 0.13 (d) 1 (e) 1/6 (f) 0.2 f What is the third smallest value in 0, 5, 964.5965? 964.5965 What is the fourth biggest value in -1/2, -2/9, 43, -5, 0.3, 23? -2/9 What is the sixth biggest value in 0.2, -5/13, 1, -3, 19, 1/8? -3 Which is the fourth biggest value? (a) -38 (b) 0.022 (c) 0.02 (d) 0.5 (e) 2 (f) 3 (g) -2/7 b What is the fourth biggest value in -3, -12/11, -261, -54? -261 What is the fifth biggest value in 5, 38503, -0.23, 1/5, 28? -0.23 Which is the sixth biggest value? (a) 2/9 (b) 7/4 (c) 3/7 (d) 2 (e) 0.4 (f) 76 (g) 8 e Which is the fifth smallest value? (a) 13 (b) 2 (c) -5 (d) -0.09 (e) 1 (f) -2832 b What is the smallest value in -4, 4, 0.24559, -0.8, 42? -4 What is the second biggest value in -4, 300/119, 883? 300/119 Which is the second biggest value? (a) -6 (b) -4 (c) 199 b Which is the second biggest value? (a) -30 (b) 5/11 (c) -131133 a What is the smallest value in 1.2, 8/21, 4/269? 4/269 Which is the smallest value? (a) 0.16 (b) 1/5 (c) -7/4 (d) -0.2 (e) -1/11 (f) 193 c Which is the smallest value? (a) -2/51 (b) 3/10 (c) 60.41 (d) -2/9 d What is the seventh biggest value in 3/2, -1, -2/1231, -6/5, 0.1, 2/27, -15? -15 Which is the third smallest value? (a) 9 (b) -3 (c) -114.665 a What is the fifth biggest value in 7, -15, 2/11, -11.9, 1.56? -15 Which is the sixth smallest value? (a) -0.4 (b) -0.2 (c) -472 (d) 22 (e) 0.4 (f) -2/7 d What is the third smallest value in 0.5, -0.284, -2/15, -0.4, -0.02, -3, 0.3? -0.284 What is the fifth biggest value in 1, 321, -3.3, -1756, 1/4? -1756 Which is the biggest value? (a) 13 (b) -55 (c) -38/3 (d) 9 a Which is the third smallest value? (a) -28 (b) 1139 (c) -7 b What is the second biggest value in 1.384, 1, 220, -0.4? 1.384 Which is the fourth smallest value? (a) -1 (b) 0.0117112 (c) -7 (d) 3 d Which is the second smallest value? (a) 6015 (b) 3.93 (c) 0.4 (d) -4/9 (e) 3 c What is the second biggest value in -3, 0.3, -2/11, 1932.5, 1.1? 1.1 What is the smallest value in 172, 31/3, 2/3, -1/611, 4? -1/611 What is the smallest value in -3, 34070981, -4, 0.4? -4 Which is the third biggest value? (a) -0.5 (b) 450 (c) -1.852 (d) 1/12 a What is the sixth biggest value in 2/3, 21, -1, 0.04, -1/2, 2, 3? -1/2 What is the second biggest value in -1, -30/19, -19/598? -1 What is the third biggest value in 0.5, -834903, 4? -834903 Which is the third biggest value? (a) 3 (b) -8/3 (c) 15 (d) 10 (e) -5 (f) 1 a What is the smallest value in 174, -4, -0.4, 4/3, 2, -3/11, 5? -4 What is the smallest value in 3/4, -2/5, 25, 129? -2/5 Which is the fifth biggest value? (a) 101 (b) -0.07 (c) 3/7 (d) -0.063 (e) -420 e What is the fifth biggest value in -4, -0.3, -6, 0.3, -2/9, 43/24? -4 Which is the biggest value? (a) 0.2 (b) 2/8188699 (c) 5 c Which is the third biggest value? (a) 447 (b) -19 (c) 9 (d) 0 (e) -2/13 (f) -5 (g) 0.1 g Which is the third smallest value? (a) -0.2 (b) -0.5 (c) 2/15 (d) 2 (e) -2.1 (f) -1/62 (g) 4 a Which is the fourth biggest value? (a) 3 (b) 3/4 (c) 0.85 (d) -4 (e) 433 b What is the third smallest value in -1/4, -3/5, 23063, -66? -1/4 What is the biggest value in -8, -0.2, -16, -1, 8/7, 1/4? 8/7 Which is the fourth smallest value? (a) 5 (b) 205604.4 (c) -5 (d) 0.3 b What is the smallest value in -19, 299, -5.556, 3, -1? -19 What is the third biggest value in -1/3, -0.4, 0.4, -5, 82, -31218? -1/3 Which is the third biggest value? (a) 6/11 (b) -4 (c) 15/49789532 b What is the biggest value in 1/2, 35557, -0.7, -0.5, 0.32? 35557 What is the fourth smallest value in 2/15, -0.13, -9, 51337? 51337 Which is the smallest value? (a) -0.09 (b) 2/9 (c) -3 (d) -0.5 (e) 24 (f) -480 f Which is the smallest value? (a) 5 (b) 2/7 (c) -3/8215 c Which is the smallest value? (a) -0.16 (b) -0.5 (c) -17 (d) 44 (e) -1 (f) -7 (g) -0.2 c What is the biggest value in -0.5, -0.6, -0.08, 3, 348, -3? 348 What is the fifth smallest value in 5, 2366, 6883, 2/7, -0.1? 6883 Which is the second smallest value? (a) -0.1 (b) -1/9 (c) -5 (d) -1951444 c Which is the second smallest value? (a) -13/6 (b) -5 (c) -39 (d) 37 (e) 7 b What is the biggest value in 0.3, -0.4, 36, 0.015, -2345? 36 Which is the second biggest value? (a) 5/7 (b) 11060 (c) 0.1 (d) 0.0308 a Which is the biggest value? (a) -0.2 (b) -0.5 (c) 41 (d) -3.3 (e) 2/7 (f) -99 (g) -2 c Which is the biggest value? (a) 7.68 (b) -1/5 (c) 0 (d) -18 (e) 5 a What is the third biggest value in -0.1, 23, 45/1079? -0.1 What is the third biggest value in 3, -56, 3/2, 0.1, 4, 2/5, 5? 3 Which is the second biggest value? (a) -0.4 (b) -99 (c) 12.91 a What is the fifth biggest value in -2/3, -0.4, -1/10, 5, 2/19341? -2/3 What is the fourth smallest value in -7, 1.1, -1/3, 3658, 13? 13 What is the third smallest value in -4/5, 19, -7/37013, -3, -7? -4/5 What is the fourth smallest value in -57, -0.3, 202, 5, 21? 21 What is the smallest value in -171, 0.5, 4, 3, -500, 5? -500 Which is the fifth smallest value? (a) 5 (b) -3/14 (c) -2670 (d) 63 (e) -4/7 (f) 0.3 (g) -5 f What is the sixth smallest value in 2, -4/3, 3, -65, -14, 5, -0.06? 3 What is the third smallest value in -0.039, 6, -914/21? 6 What is the biggest value in 117, -505.7, -0.39? 117 Which is the fifth biggest value? (a) 55909 (b) -3/7 (c) 3/4 (d) -1 (e) 0.2 (f) 8 b Which is the fourth biggest value? (a) 1 (b) -10028/7 (c) 4 (d) -0.17 (e) -0.05 (f) -1/3 d What is the third smallest value in 0.1, -101, 6796? 6796 What is the sixth smallest value in -4, -3, -2/223, -1/4, 8, -0.32, -5? -2/223 What is the biggest value in 14, -1/6, 2/11, -169/9, 3/22? 14 What is the third smallest value in -75, -6/131, 10, -19/7? -6/131 Which is the biggest value? (a) -2 (b) 5 (c) -35.8422 (d) 16 d What is the biggest value in 19, -5, -3/22, 0.07, -2, 356, 1? 356 Which is the third biggest value? (a) 2 (b) -20 (c) -5/4 (d) 241141 c Which is the third smallest value? (a) -9 (b) 1/4 (c) -34 (d) 1 (e) 31 (f) -0.4 f Which is the fourth biggest value? (a) -1.3 (b) 1 (c) 2/9 (d) -0.35 (e) 0.06 (f) 0 (g) -1/12 f What is the second biggest value in 6.3, 0.5, 1, 5, 855, -0.5? 6.3 Which is the second smallest value? (a) -2/13 (b) 0 (c) 788.921 (d) 0.2 b Which is the second smallest value? (a) -1.4 (b) 51 (c) -4025 a What is the fourth smallest value in -0.2, 53/2, 5, -3/2, -1/8, 105/2? 5 What is the smallest value in 25, -5, -9, 2? -9 Which is the second biggest value? (a) 5 (b) -3.2 (c) 2548.5 (d) -0.1 a Which is the second smallest value? (a) 39866 (b) -468 (c) -1 c Which is the smallest value? (a) -2 (b) 1/2 (c) 16 (d) -0.2 (e) 0.0306 a Which is the smallest value? (a) -140 (b) 1.10799 (c) 2 a Which is the biggest value? (a) -0.1 (b) -5 (c) -1/13 (d) 30 (e) 20 d What is the third smallest value in -2315, -2, 90, -4? -2 Which is the second biggest value? (a) 141 (b) 46 (c) 2.89 b Which is the fourth biggest value? (a) 8 (b) 6 (c) 0.1 (d) 14 (e) 92 b What is the second smallest value in -1/3, -9.95, -2/3, -1, -3, -5/7, -1/2? -3 Which is the second biggest value? (a) -192 (b) -0.5 (c) 6.3 (d) -1/6 (e
{ "pile_set_name": "DM Mathematics" }
(-2)*(-26 + -2) and 20. 140 Calculate the common denominator of -41/20 and 745/84 + 0 + 12/(-42). 60 Let f be (2/15)/(109/9). Let q = f + -62711/3270. Find the common denominator of q and ((-3)/(-3))/(112/(-518)). 24 Calculate the common denominator of 25/3 and 150/154 + (-51)/119. 33 Let p = 1246 + -10009/8. Find the common denominator of -57/16 and p. 16 Suppose 5*g + 5*l - 330 = 0, 5*g - 217 = 3*l + 137. Suppose g = d - 4*d. Let m = 41 + d. Calculate the least common multiple of 8 and m. 72 Let t(d) = 2*d - 12. Let m be t(8). Suppose -m*a + 16 + 4 = 0. What is the least common multiple of 2 and a? 10 Let z = -232417/94860 + 1/9486. What is the common denominator of 1/12*220/(-6) and z? 180 Calculate the least common multiple of (-1)/3 + 28/12 and (4/6)/(2/15). 10 Let f be -2 + (2 - 0) + 5. Suppose 96 = f*k + 36. Let i = 31 - 17. Calculate the least common multiple of k and i. 84 Suppose 4*x - 5*a - 65 = 0, 0 = 5*x - 4*a - 59 - 11. Calculate the lowest common multiple of x and 24. 120 Let q(b) = -b**2 - 5*b + 6. Let y be q(-5). Suppose 0 = y*h - h - 5, 3*h = -i + 2. Let c = 0 - i. Calculate the least common multiple of 3 and c. 3 Suppose -3*h + 259 = 2*g - g, -h - g + 83 = 0. Let z = -7069/25 + 19511/100. Let f = h + z. Calculate the common denominator of f and 101/18. 180 Let t = -10062 - -744663/74. What is the common denominator of t and 73/16? 592 Calculate the common denominator of 2/(-88)*-10 + 3 and 77/2. 22 Let c = -1 - -2. Suppose 2*f + c = 3*y - 2*y, 5*y - 11 = 4*f. Let j = 7 - f. What is the least common multiple of 6 and j? 6 Let h = 20 - 11. What is the common denominator of (-34)/10 - (-11 + h) and -58/5? 5 Let f be (-8)/10*(-1 + -4). Suppose -f*m - 8 + 24 = 0. Suppose -m*v - 56 = -8*v. What is the least common multiple of 4 and v? 28 Let k(s) = -s**2 - 26*s - 42. What is the smallest common multiple of k(-23) and 117? 351 Let r(h) = -1198*h - 2. Let b be r(-1). Let m = -103811/2 - -50732. Let f = m + b. Find the common denominator of 37/10 and f. 10 Let k = -97 + 295/3. Let y = -2/18847 - -9894683/75388. Let f = -130 + y. Find the common denominator of k and f. 12 Suppose 2*w + 38 = 4*o, -2*o + 8 = w - 21. What is the smallest common multiple of 8 and o? 24 Let q = -163/4 - -983/24. Calculate the common denominator of q and 33/20. 120 Let i = 415/2 + -161. Let f = 37 + -71. Calculate the common denominator of i and f. 2 Suppose -2*v + 20 = -4*g + 3*v, 0 = 3*g + 2*v - 8. Suppose g = -r + k - 40, r = k - 5*k - 50. What is the common denominator of r/(-20) + (2 - 0) and 65/16? 80 Find the common denominator of -5 + 212/300*9 and -94/15. 75 What is the common denominator of 453/(-18) + (1 - 0) and (-49)/(-4) - 1/(-1)? 12 Let s(a) = a**3 - 15*a**2 + 2*a - 18. Let q(v) = 2*v + 3. Let l be q(6). What is the least common multiple of s(l) and 6? 12 Let h = -52 - -53. Let m = 4 + -1. What is the lowest common multiple of h and m? 3 Suppose 0 = -2*c + 8 + 6. What is the lowest common multiple of c and 3 + 2 + (4 - 0)? 63 Let x = 5 - 3. Calculate the common denominator of x and 70/(-8) - (-3 + 1). 4 Let b = -16/475 + 22837/15200. Calculate the common denominator of 34/7 and b. 224 Suppose -15 - 18 = -5*a + 2*m, a + 7 = -3*m. Suppose 7 + 23 = a*r. What is the smallest common multiple of r and 50? 150 Let x = 31 - 24. What is the lowest common multiple of 11 and x? 77 Suppose -5*f - 131 = -371. Let o be f/5 - 2/(-5). Suppose -3*b = -o - 2. What is the least common multiple of 22 and b? 44 Let s = 1/434 + 5966/651. What is the common denominator of 47/2 and s? 6 Suppose -2 = 5*s - 7, 0 = 4*q - 5*s - 3. Let r be (-4)/(-10) - 17/5. Let f = 0 - r. What is the smallest common multiple of f and q? 6 Suppose 5 = q - 5. Suppose q = 2*j - 0*j. Suppose 0 = -2*w + 2*y + 50, -j*w + 93 = 2*y - 46. Find the common denominator of 99/2 and w. 2 Suppose -6*k + 197 - 65 = 0. Calculate the least common multiple of k and 140. 1540 Let q be 4/4 + 2*1. Let p be -4 - (-1 - (2 - q)). What is the common denominator of (p/(-5))/(84/750) and -1? 7 Calculate the common denominator of 133/(-14) + (-3)/(-24) and -67/10. 40 What is the least common multiple of 1*(-40 + 0)*3/(-4) and 24? 120 Let j(q) = -q**3 + 5*q**2 + 4*q - 5. Calculate the lowest common multiple of 21 and j(5). 105 Suppose r + 2*y - 2 = 0, 3*r + 19 = 5*r - y. Find the common denominator of 222/40 + r/(-4) and 99/4. 20 Let l = 66 + -31. Suppose 3*b - l = 13. Calculate the least common multiple of b and 2. 16 Suppose -2*z = 2*n + 44, -19 = 2*z + 3*n + 25. Find the common denominator of (-5)/(-8) - (-11)/z and -39. 8 Suppose -a - 2 = -4*y + 2*a, -4*a = -4*y. What is the lowest common multiple of y and 9? 18 Calculate the common denominator of 121/12 and 602/(-340) + 11/(-5) + 2. 204 Let q = 2 + -7. Suppose 2*k + 37 = 3*d + 2, -30 = -3*d + 3*k. Calculate the least common multiple of ((-11)/3)/(q/d) and 2. 22 Let o = -200/21 - -6. What is the common denominator of -68/15 and o? 105 Let b(s) = -s**3 - 8*s**2 - s - 2. Suppose 27 = -2*n + 11. Suppose -2*t = -a - 9, 0 = -t + 2*a + 6 - 3. Calculate the lowest common multiple of t and b(n). 30 Suppose 30 = 5*n - 0*n. Calculate the least common multiple of n and 3. 6 Let i = 1390/3 + -447. Let r be (-7922)/2448*(1 - 0)*3. Let w = i + r. What is the common denominator of 23/6 and w? 24 Let x be (8/(-6))/(4/(-6)). Suppose 5*h = x*h + 36. What is the lowest common multiple of h and 14? 84 Suppose 2*i + 3*u - 6 = -0, 2*u + 22 = 3*i. Calculate the smallest common multiple of i and (-1)/2 + (-34)/(-4). 24 Find the common denominator of 3/12 + (-378)/88 and -5/22. 22 Suppose 3*w = -4*p + 33, 0 = -3*p - 4*w + 8 + 8. Calculate the least common multiple of 4 and p. 12 Let x = -14 - -24. Let j = -19 + 15. Let r(v) = v**3 + 6*v**2 + 3*v - 4. Calculate the smallest common multiple of r(j) and x. 80 Let q = -2 - -20. What is the lowest common multiple of 2 and q? 18 Let w = -4 - -2. Find the common denominator of (-287)/(-14)*4/(-6) and (w*(-2)/(-12))/3. 9 Let u = -2 - -12. Suppose 0 = -7*q + 2*q + 15. What is the lowest common multiple of q and u? 30 Let j = -1715/2 - -817. What is the common denominator of -7/10 and j? 10 Suppose 0 = 19*o - 17*o - 110. What is the least common multiple of o and 50? 550 Suppose 4*k + 8 = 6*k. Suppose 0 = 8*a - 0*a - 160. Calculate the least common multiple of a and k. 20 Let b = -4270 - -68399/16. Calculate the common denominator of ((-171)/(-12))/(6/(-5)) and b. 16 Let i = -14137/19943 + -129/814. Find the common denominator of i and 19/6. 294 What is the lowest common multiple of 3 and ((2 - 0)*-2)/(-2)? 6 Let m = 32969/18 - 1835. What is the common denominator of 61/3 and m? 18 Suppose 3*i + p = 37, 52 = 3*i - p - p. What is the least common multiple of 20 and i? 140 Let o = 7/29 - -1755/58. Let k = 4518 + -14624768/3237. Let r = 229811/25896 - k. Find the common denominator of o and r. 8 Suppose -p + 60 = -d, 4*d + 252 = -0*d + p. Find the common denominator of 53/7 and 4/(d/154) - 0. 56 Let m = -46 - -49. What is the lowest common multiple of 9 and m? 9 Let z = 9769/1982 + -2/6937. Calculate the common denominator of 81/184 and z. 1288 Let k be (9 - 2)/(2/4). Let v = 11 + -18. Let j = k + v. Calculate the smallest common multiple of 5 and j. 35 Let b be 2 - 1/((-3)/(-27)). Suppose -h + 37 = 5*c, 5*c + 26 = -5*h + 111. Let l = b + h. What is the lowest common multiple of 10 and l? 10 Suppose -72 = 4*l - 108. What is the lowest common multiple of l and 14? 126 Let h = -5 - 1. Calculate the smallest common multiple of h/4*8/(-2) and 3. 6 Let n = -26042/26925 - 74/359. What is the common denominator of 47/30 and n? 150 Suppose -6*o - 48 = -10*o. Calculate the smallest common multiple of 12 and o. 12 Suppose 2*k - 40 = 2. What is the lowest common multiple of 4 and (-7)/(-3) - 7/k? 4 Suppose 4*u = 3*v + 33, 4*v = u - 6*u + 18. Calculate the lowest common multiple of u and 7. 42 Suppose 3*t - 26 = 4. Let u be 8/(-3)*42/4. Let h = -17 - u. What is the least common multiple of t and h? 110 Calculate the common denominator of -73/58 and (-724)/(-48) + (-12)/(-16). 174 Let k = -1/1280 + -52459/26880. What is the common denominator of -31/33 and k? 231 What is the common denominator of (-8 - -8) + (-22)/(-26) and -73/4? 52 Let o = 4192/2905 + -6
{ "pile_set_name": "DM Mathematics" }
, 4 in descending order. 13, 4, -2, c Let q(p) = p**3 + 37*p**2 + 39*p + 113. Let a be q(-36). Sort 1/7, 72, a in increasing order. 1/7, a, 72 Let x = -0.7 - 4.3. Let k = -0.4452 + 0.5452. Sort -2/11, 0.2, x, k in decreasing order. 0.2, k, -2/11, x Let m = 133.18 + -133.5. Sort -5, m, 2, -1. -5, -1, m, 2 Let z = -88 - -176. Let j = z - 89. Let s be ((-6)/4)/((-6)/(-16)). Put s, 8, j in decreasing order. 8, j, s Suppose 30 = -19*r + 24*r - 3*c, 0 = -3*r + c + 14. Let a = 2 + 2. Put a, 0, r, -1 in increasing order. -1, 0, r, a Let z = 6.537 - -0.463. Sort z, -0.01, -2/7, 5. -2/7, -0.01, 5, z Let r = 4339/7 - 620. Put 3, r, -0.6 in descending order. 3, r, -0.6 Suppose 0*q + 8 = 4*q. Suppose q*f = 4*f + 4. Let j = -24 - -145/6. Sort j, -1, f in ascending order. f, -1, j Let h be ((-2)/3)/(2/6). Let g be 1/(1 - h*(-9)/15). Sort g, -7, -4, -3 in decreasing order. -3, -4, g, -7 Suppose h - 2 = -5*c + c, -4*c + 3*h + 10 = 0. Let w = -20 + 38. Let u = -19 + w. Put 2, c, u in ascending order. u, c, 2 Let c be 0/(-4) + (1 - 1). Let a be 3*(8/(-6))/1. Suppose -9*z - 40 + 121 = 0. Sort a, c, z in decreasing order. z, c, a Suppose 20 = -3*f + 5. Suppose -5*r = -g + 1, -3*r + 3 = 3*g - 0*r. Put f, -7, g in ascending order. -7, f, g Suppose -6*l + 27 = 3. Suppose 0 = 2*z - 3*z + 6. Suppose 0 = -0*f - 3*f - z. Put -1, l, f in ascending order. f, -1, l Suppose 0 = 4*i - 2*i + 10. Let u = 827 - 830. Sort -2, u, 0, i in ascending order. i, u, -2, 0 Let s(k) be the third derivative of -k**5/60 - 5*k**4/12 - 2*k**3 + 14*k**2. Let t be s(-6). Sort 1, -5, t. -5, 1, t Let k(f) = f**2 - 19*f + 63. Let l be k(15). Put 2, l, -11, -2 in descending order. l, 2, -2, -11 Let b = 17.24 + -16.74. Let r = 0.5 - 0.5. Put -1/10, r, b in decreasing order. b, r, -1/10 Let p(a) = -a + 26. Let l be p(26). Let m be (0 - 3)/(-9)*(5 + -20). Sort m, l, 3. m, l, 3 Let y(p) = p**2 + 19*p + 61. Let a be y(-15). Sort -5, -8, a. -8, -5, a Let u be 2*(4 + 0 + -2). Let d be (u/(-15))/((-16)/(-48)). Let x = 11 - 7. Sort 0.4, x, d in increasing order. d, 0.4, x Let f = 2/19 - 48/95. Suppose -p + 5 = 2*b, 2*p - 8 = b - 4*b. Sort b, f, -3, -0.5 in ascending order. -3, -0.5, f, b Let i = 10.065 + -0.065. Let q = i + -5. Sort 2/3, -2, -0.05, q in ascending order. -2, -0.05, 2/3, q Let c = 33 + -16. Let i = 12 - c. Sort i, -0.1, -1/4 in decreasing order. -0.1, -1/4, i Suppose 5*f = -b + 22, 4*f - 4*b - 17 = 3*f. Suppose -4*q - 3*y = -31, -21 = q + 4*y - 9*y. Sort f, q, -5 in increasing order. -5, q, f Let y = -990 + 986. Sort 0, 23, y. y, 0, 23 Let w = -0.131 + 0.631. Put -3/8, w, -2/9 in increasing order. -3/8, -2/9, w Let f = -1.2 - -1.2. Let u = 7 + -9. Let v = f + u. Put -1/7, 2/9, v in ascending order. v, -1/7, 2/9 Let g be 264/(-15) - (-2 + (-21)/(-15)). Put g, -0.4, -6 in increasing order. g, -6, -0.4 Let z = -27 + 39. Put z, 4, 10 in increasing order. 4, 10, z Let s = -537 + 540. Let g = -1 - -2. Sort 0.4, s, g. 0.4, g, s Suppose -7*n = 66 + 130. Let k = -5 - n. Put -5, k, 0, 5 in increasing order. -5, 0, 5, k Let n(j) = -3*j**3 - 3*j**2 + 3*j + 7. Let h be n(-2). Let t = h + -27/2. Sort 0.3, 3, 1/3, t in descending order. 3, 1/3, 0.3, t Let s = -0.6 - 4.4. Let w = 5 + s. Let x be (-1 - -3 - -1)/(-1). Put w, -4, x in descending order. w, x, -4 Let s = 1 - 1.3. Let p = 6.3 + -5. Let x = p + -1. Put x, s, -1 in descending order. x, s, -1 Let s = 22.12 - 22.1. Sort -3, s, -3/2 in ascending order. -3, -3/2, s Let r = 3 - 6. Let q be ((-14)/147)/(156/(-28) + 6). Sort q, -5, r, -1/3. -5, r, -1/3, q Let v(n) = -n**2 - 4*n - 4. Let b be v(-4). Let y be -3 + (3 + b)*0. Let q = y + 5. Put -3, -0.2, q in descending order. q, -0.2, -3 Let h = 7.1 - 22.1. Put h, 1/2, 0.2 in decreasing order. 1/2, 0.2, h Let x(o) = 2*o**2 + 4*o + 2. Let y be x(-2). Put 1, -17, y in ascending order. -17, 1, y Let c(u) = u**2 - 16*u - 35. Let w be c(-2). Sort -15, 5, w, -1 in decreasing order. 5, w, -1, -15 Let h(s) = s**2 + 11*s - 178. Let p be h(-20). Put p, 42, -2, 3 in descending order. 42, 3, p, -2 Let k = -1067 + 1062. Put -2, 24, k in descending order. 24, -2, k Let s = -2 + 1. Let j(f) = -f**2 - 22*f - 35. Let o be j(-15). Let d = o + -74. Sort d, 3, s in descending order. 3, s, d Suppose 7 = 5*m + 27, -4 = -4*d + 3*m. Sort d, 3, -5 in descending order. 3, d, -5 Let j(w) = 4*w**2 - 21*w + 47. Let k be j(4). Suppose 0 = -4*y + 3*f - 31, -3*y + 2*f = y + 26. Sort k, 5, y in increasing order. y, 5, k Let g be 3/(-1*(-9)/(-6) - -12). Let l = -0.46 - 0.04. Let c = 0.7 + l. Put -2/9, g, c in decreasing order. g, c, -2/9 Let i = 569 + -568. Let o be (-5)/(-1)*6/5. Put o, i, 2 in increasing order. i, 2, o Suppose 2*u + 2 = -3*c, -5*u = -4*c + c - 16. Let q be 0 - (17 - 4) - -8. Put q, c, 5 in decreasing order. 5, c, q Let o = -314 - -317. Put 15, o, -5 in increasing order. -5, o, 15 Let r = -5 + 5.3. Let n be (-2)/(-15)*(0 + 3). Let b = 177 + -176. Sort r, b, n. r, n, b Let i = -80 + 75.9. Let j = i + 3.1. Sort 2, -2/3, -4, j in decreasing order. 2, -2/3, j, -4 Let z be (-2)/(-13) - 1036/(-26). Let b be (-224)/z + 3/5. Suppose j = -j. Sort b, 2, j. b, j, 2 Let m be (-15)/((-945)/22) - (-8)/(-14). Let t = 3.93 + 0.07. Sort t, m, -8/3 in decreasing order. t, m, -8/3 Let u = -33 + 24. Let l be u + 15 + 2*-2. Let y = 5 - 2. Sort y, -4, l in increasing order. -4, l, y Let j = 704 + -686.12. Let h = j - 22. Let q = 0.12 + h. Put q, 2/7, 1/9 in descending order. 2/7, 1/9, q Suppose q + 26 = 5*n, 44 = 4*n + 7*q - 2*q. Sort n, -2, -40. -40, -2, n Let k = -642 + 640. Put 0.03, 8, 1, k in decreasing order. 8, 1, 0.03, k Let g(l) = -3*l + 6. Let w be g(4). Let i = 9 + w. Let o = -3 + 5. Sort -5, i, o. -5, o, i Let m = -498 + 501. Sort 1, m, 0.08, -2/9 in ascending order. -2/9, 0.08, 1, m Suppose 3*d = -2*o + 311 + 282, 2*o - 5*d = 569. Put 1, -5, o in descending order. o, 1, -5 Let q(z) = -z**2 - z + 59. Let d be q(7). Put 7, d, 4 in increasing order. d, 4, 7 Let z = 320 + -331.88. Let l = -12 - z. Let d = 0.02 + l. Put -3, d, 4/7 in ascending order. -3, d, 4/7 Let v be 10/3 - (-2)/3. Suppose v = -5*f - 1. Let i be (-2)/3*924/308. Sort 5, f, i. i, f, 5 Let w(t) = -2*t + 6. Let i be w(4). Let k(g) = g**3 + 66*g**2 + 69*g + 248. Let j be k(-65). Put j, 0, i in decreasing order. 0, i, j Let b(d) = 3*d**3 + 2*d**2 - 3*d + 1. Let x be b(1). Suppose 0 = 4*h - 0*h. Sort h, 2, x in increasing order. h, 2, x Let t = 22 + -18. Let w = -67.7 + 68. Put w, t, -0.5 in descending order. t, w, -0.5 Let d be (86/4 - 3)*2. Suppose 12 = -29*b - 46. Sort b, -5, d in decreasing order. d, b, -5 Let m(x) = 3*x - 17. Let j be 4 - (4/(-4) - 2). Let q be m(j). Let s = -13 + 15. Sort s, 3, q in decreasing order. q, 3, s Let h = -699 - -4889/7. Sort 3/5, h, 2/23, -2 in decreasing order. 3/5, 2/23, h, -2 Let p be 62/2*(-1 + 2). Let g(l) = -5*l + 23. Let j be g(-1). Let q = j - p. Sort q, -2, 4. q, -2, 4 Let s be -6 - 330/(-54) - 60/54. Sort s, 3, 1/4, -3.2 in ascending order. -3.2, s, 1/4, 3 Let q = 21.37 - 19.4. Let w = q + 0.03. Let l be ((-10)/(-12))/(-14 - 1909/(-138)). Sort l, -2/9, w in increasing order. l, -2/9, w Let p(r) = -r + 4. Let y be p(4). Sort y, -4, 4. -4, y, 4 Suppose 5*q - 4*k - 22 = -3*k, 0 = -q - 2*k + 11. Let t = -265 - -260. Sort q, t, 2 in decreasing order. q, 2, t Let l = -67 - 57. Let y = l - -124. Put -1/10, y, 0.5, 2/5 in increasing order. -1/10, y, 2/5, 0.5 Suppose -2*d + 7 - 1 = v, 3*v = -12. Suppose 4*f = 7*f + 57. Let s(b) = -b**2 - 18*b + 26. Let k be s(f). Put d, -2, k in descending order. k, d, -2 Let h be 10 - (-9)/45*-25. Put 3/2, h, -4 in descending order. h, 3/2, -4 Let f = -61 + 67. Let v be (-189)/39 - (-14)/(-91). Sort f, -0.2, v in increasing order. v, -0.2, f Suppose -8 = 4*x, -2*v - 4 - 4 = 3*x. Put 2, 0.1, -5, v in decreasing order. 2, 0.1, v, -5 Suppose d + 2*h = -2, -7 = 5*d - h + 3. Sort 347, -5, d. -5, d, 347 Let x = -1.282 + 1.272. Let h = 123/35 - 26/7. Put x, h, -2 in descending order. x, h, -2 Let l = -4 + 2. Let u be (-1)/((-27)/12 - -2). Suppose -2*p + 2*b = 6, -3*p - b - 4 + 3 = 0. Put p, l, u in decreasing order. u, p, l Let f(w) = 2*w**2 - w - 1. Let t be f(2). Suppose -15 = -4*z - m - 17, 5*z = 3*m + 6. Sort z, t, 4. z, 4, t Let x = 20.26 + -19.86. Sort x, -12, 9 in decreasing order. 9, x, -12 Suppose
{ "pile_set_name": "DM Mathematics" }
i + 44 = 2*x, -92 = -3*x + 5*i. Let z = -6 + x. Let h(l) = 2*l**2 - 3*l + 3. What is the remainder when z is divided by h(2)? 3 Suppose 0 = -5*s + 16 - 6. Suppose s*u - 46 = -32. Calculate the remainder when 97 is divided by u. 6 Let m(f) = f**3 - 8*f**2 - 11*f - 5. Let t be m(10). Suppose z = 3*r - 59, 5*r - z = 4*z + t. What is the remainder when 123 is divided by r? 18 Let q be 4/5*105/(-14). Suppose 0 = -c + 2*f - 94 - 71, 4*f - 159 = c. What is the remainder when 37 is divided by (4/q)/(6/c)? 18 Let f(v) = -6*v - 331. What is the remainder when f(-59) is divided by 17? 6 Suppose 0*t = 5*t - 10. Suppose -71 = -c + 4*u, -t*u - 46 = 4*c - 240. Calculate the remainder when c is divided by 18. 15 Let q = 1136 + -1081. What is the remainder when 875 is divided by q? 50 Suppose 0 = 5*o - 2*o - 9. Suppose -696 = -5*w - o*w. What is the remainder when w is divided by 22? 21 Suppose 0 = -3*s + 3*j - 4 + 31, -4*j = -2*s + 26. Suppose 0 = 5*u - 2*n - 50, 2*u - s*n - 19 - 1 = 0. Calculate the remainder when 109 is divided by u. 9 Let r(j) = 41*j - 228. Let z(d) = d + 7. Let k be z(-7). Suppose k = 2*w - 5*w + 102. What is the remainder when w is divided by r(6)? 16 Suppose q = 6*q - 5*p + 65, -5*q - 60 = -4*p. What is the remainder when 51 is divided by 12/7*(-84)/q? 15 Let r(t) = -2*t**2 + 4*t**2 + 4*t**2 - 1. What is the remainder when 18 is divided by r(-1)? 3 Let w(z) = 5*z + 126. Calculate the remainder when w(-5) is divided by 19. 6 Suppose 133 - 43 = 10*c. Suppose -3*d - c*d + 528 = 0. Calculate the remainder when d is divided by 12. 8 Let j(k) = -k**3 - 14*k**2 - 6*k - 56. Suppose -l + 27 = -24. What is the remainder when l is divided by j(-14)? 23 Let i be (-3)/6*(-7 + 2 + -1). Suppose -6*s + 3*s + i = 0, 0 = -5*z - s + 66. What is the remainder when z is divided by 6? 1 Let c(i) = -2*i + 212. What is the remainder when 680 is divided by c(19)? 158 Suppose 470 = -13*y + 15*y - 2*t, 3*y = -4*t + 677. Calculate the remainder when y is divided by 79. 73 Suppose -115*r - d = -114*r - 5, -5*r + d + 19 = 0. Suppose -8*c - 4*v + 8 = -3*c, -2*c + 14 = -2*v. What is the remainder when c is divided by r? 0 Let o = -7 - 11. What is the remainder when (-708)/o*(-12)/(-8) is divided by 12? 11 Suppose 2*h - 1386 = -7*h. Calculate the remainder when h is divided by 12. 10 Let s be (12/(-7))/(618/(-154) + 4). What is the remainder when (-1)/(-2)*1*s is divided by 18? 12 Let u = 44 + -28. Let n = 86 - 55. Calculate the remainder when n is divided by u. 15 Let r be 3 + 248 + (-2 - -5). Suppose 2*w - r = 4*y, -4*w + 376 = -w - 5*y. What is the remainder when w is divided by 30? 27 Let d = -159 - -176. Calculate the remainder when 66 is divided by d. 15 Suppose -93 = -4*d + d. Let v(c) be the third derivative of c**6/120 + c**5/60 + 91*c**3/6 - 5*c**2. What is the remainder when v(0) is divided by d? 29 Suppose 317 = c + 101. Let r be (c/30)/(2/15). Suppose r = k + k. What is the remainder when k is divided by 14? 13 Let d = -228 + 257. Suppose -2*h + 0*h = -22. What is the remainder when d is divided by h? 7 Let r = 28459 - 28451. Calculate the remainder when 322/6 + (-4)/6 is divided by r. 5 Suppose -52 - 35 = 3*y. Calculate the remainder when 12/(-4) + (27 - 1) is divided by (-4)/(-20) + y/(-5). 5 Suppose -7*j = -2*j + 3*l - 37, 3*j - 11 = l. Suppose 2*w = -4, j*w - 209 = -3*i - 81. What is the remainder when i is divided by 14? 4 Suppose b - 4 + 6 = 0, -4*b - 56 = -3*o. What is the remainder when 189 is divided by o? 13 What is the remainder when 378 is divided by (108/6)/9*38? 74 Suppose -4*z - 35 = z. Let u = 22 + z. Suppose -2*j - 9 = -u. What is the remainder when j is divided by 1? 0 Let k(s) = s**2. Let v be k(-1). Calculate the remainder when 87 is divided by v - (-2 - -87)/(-5). 15 Suppose 5*w = -3*r + 76, -2*w - 2*w = 3*r - 59. Suppose 0 = -4*k - 16, -k = -3*y + 2*k + 210. What is the remainder when y/5*30/12 is divided by w? 16 Let d(k) = 5*k - 4. What is the remainder when (-699)/(-12) + -1 + 27/36 is divided by d(4)? 10 Let g(p) = -2*p + 3. What is the remainder when 4 + -1 + 2 - -12 is divided by g(-3)? 8 Suppose u - 7 - 2 = 0. Let i(h) = -h**2 + 20*h - 17. Calculate the remainder when i(u) is divided by 28. 26 Suppose -s - 4 = 2*k - 26, 5*k = s - 43. Calculate the remainder when 109 is divided by s. 25 Let f(v) = -2 - 7*v + v + 8*v + v**2 - 5. What is the remainder when 84 is divided by f(4)? 16 Suppose -4*m = -5*t + 165, 90 = 4*m + 5*t + 245. Let w = 42 + m. Calculate the remainder when 5 is divided by w. 1 Let n(i) = -i**3 + i**2 + 3*i + 3. Let j = 1 - 1. Suppose x + 4 - 2 = j. What is the remainder when n(x) is divided by 4? 1 Let m(u) = -u**2 - 3*u + 1. Let c be m(-3). Suppose c = -5*d + 26. Suppose 5*o + 43 - 9 = 3*w, 0 = 3*o - 3. What is the remainder when w is divided by d? 3 Let n(h) = h**2 - 15*h + 64. Calculate the remainder when 79 is divided by n(8). 7 Let z(b) = 9*b**2 + b + 2. Let d be z(-1). Let x = d - -4. What is the remainder when (-2*41/6)/(2/(-6)) is divided by x? 13 Suppose -13 = 4*g + 5*n + 1, -g - 2*n - 5 = 0. Let r = g + 5. Suppose -r*x + 6 = -3*x. Calculate the remainder when 11 is divided by x. 5 Calculate the remainder when 98 is divided by -1*2/4*-44. 10 Let h = 376 + -370. Let r = 1 + 2. Suppose -r*l + 0*i + 40 = -i, 0 = -4*l - i + 65. Calculate the remainder when l is divided by h. 3 Let g(r) = r + 7. Suppose 4*f = -0*f - z + 2, z = -f + 2. Calculate the remainder when ((-19)/(-4))/(3/12) is divided by g(f). 5 Let i(x) = x + 37. Let a be (4/(-10))/(2/70). Calculate the remainder when i(a) is divided by 8. 7 Let n(r) = r - 3. Let m be n(8). Suppose -69 = -4*p - v, -m*p + 5*v + 12 = -4*p. Calculate the remainder when 116 is divided by p. 14 What is the remainder when (-6 - 112)*3/4*-2 is divided by 10? 7 Let s(t) = t**3 - 10*t**2 + 21*t + 8. Let q = 66 - 59. Suppose 1 = -2*w + 11. What is the remainder when s(q) is divided by w? 3 Suppose 0 = -s + 5. Suppose s*w + 21 = 5*m - 19, 5*m + 2*w = 61. Suppose 0 = -2*i + 10, -4*i = 4*q - i - 179. Calculate the remainder when q is divided by m. 8 Suppose 20*f - 5*h - 3194 = 18*f, -h = 2*f - 3182. Calculate the remainder when f is divided by 57. 53 Let v be 20 + -1 + 2 + -3. Let w be (-133)/(-42) + (-3)/v. Suppose -w*g + 8*g - 25 = 0. What is the remainder when 19 is divided by g? 4 Suppose -5*w + 5*h = -180, -44 = -4*w - 3*h + 79. Suppose -2*k + 7*k = -3*m + 38, 0 = -3*k + 3*m + 42. Calculate the remainder when w is divided by k. 3 Suppose -3*u + 135 = 6*u. Suppose -4*b + 62 = -102. What is the remainder when b is divided by u? 11 Let h(c) = 30*c**2 + 5*c + 13. Calculate the remainder when h(-2) is divided by 18. 15 Let i(k) be the first derivative of k**3/3 - 2*k**2 + 29*k + 18. What is the remainder when 96 is divided by i(7)? 46 Suppose 4*k = 3*b + 158, k + 215 = 6*k + 5*b. Suppose 4*j = -8*v + 5*v + 54, -4*j = 4*v - 52. Calculate the remainder when k is divided by j. 11 Suppose 3*v - 127 = 23. Suppose -d + 2*d - v = -3*h, 0 = -4*h + d + 62. What is the remainder when 59 is divided by h? 11 Let s(t) = -13*t + 172. What is the remainder when s(0) is divided by 50? 22 Let t be (-2 + 16/5)*-5. Let x = t + 13. Suppose -k = -2*k - 2*m + x, -5*k - 5*m + 35 = 0. What is the remainder when 11 is divided by k? 4 Let u(t) = 134*t - 1049. Suppose 18 = -s + 4*s. Let v = 12 - s. Calculate the remainder when u(8) is divided by v. 5 Let v = 26 - -45. Let a = -9 + 28. Calculate the remainder when v is divided by a. 14 Let c(v) = v - 6. Let j be c(6). Suppose 0 = -5*q + 3*o - 1, -3*q - 9 = o - j*o. Calculate the remainder when (-2817)/(-81) + q/(-9) is divided by 19. 16 Let a = 5 + -1. Suppose 11 = -a*j - 17. What is the remainder when 14 is divided by ((-2)/(-2))/(j/(-63))? 5 Let j = 113 + -107. Calculate the remainder when 11 is divided by j. 5 Suppose 0 = 6*x - 4*x - 8. Suppose 4*t = -5*s + 371, 0*t = x*s - t - 301. What is the remainder when s is divided by 22? 9 Let m(o) = -o**3 - 6*o**2 + 13*o + 12. Let z be m(-6). Let d = 75 + z. Calculate the remainder when d is divided by (0 + 6/(-4))*-2. 0 Let c = 13 - 3. What is the remainder when c is divided by 4? 2 Let d be 0 + (10/(-5) - -1). Suppose m - 8 + 2 = 0. What is the remainder when 23 - 21 - (-10 - d) is divided by m? 5 Let w
{ "pile_set_name": "DM Mathematics" }
nd -2188480 to the nearest 100000. -2200000 Round 13814090 to the nearest one hundred thousand. 13800000 Round 21.982401 to the nearest ten. 20 Round -0.02425913 to two dps. -0.02 Round 7.146141 to 0 dps. 7 What is 8.5249393 rounded to 1 decimal place? 8.5 Round 0.010312948 to three dps. 0.01 What is 7.5298 rounded to the nearest integer? 8 Round 80.585 to the nearest one hundred. 100 Round 0.000668752 to six decimal places. 0.000669 What is -0.001275084 rounded to five decimal places? -0.00128 Round 0.001701966 to four dps. 0.0017 What is 7987.22 rounded to the nearest 100? 8000 What is 644457690 rounded to the nearest 100000? 644500000 What is 4.969185 rounded to three decimal places? 4.969 What is -0.0000165071 rounded to 5 dps? -0.00002 What is -0.1136779 rounded to 3 dps? -0.114 What is 2576440 rounded to the nearest 10000? 2580000 Round -5016840 to the nearest ten thousand. -5020000 What is 27544.044 rounded to the nearest 1000? 28000 Round 0.0000018507 to seven decimal places. 0.0000019 What is 33792830 rounded to the nearest 1000000? 34000000 Round 0.1555007 to 1 decimal place. 0.2 Round -0.000113525 to 6 dps. -0.000114 What is -0.000007795738 rounded to six decimal places? -0.000008 What is -15152000 rounded to the nearest 10000? -15150000 Round -2926135.7 to the nearest ten thousand. -2930000 What is 1224954800 rounded to the nearest 100000? 1225000000 Round 36556600 to the nearest one million. 37000000 What is -6642000 rounded to the nearest one million? -7000000 What is -3.27302 rounded to two decimal places? -3.27 What is -299.4339 rounded to the nearest ten? -300 Round -0.02995078 to 3 decimal places. -0.03 Round 3.101504 to three dps. 3.102 What is -0.026666 rounded to three decimal places? -0.027 Round 0.00000054564548 to 7 dps. 0.0000005 Round 0.000008723968 to 7 dps. 0.0000087 What is -1407.34 rounded to the nearest integer? -1407 What is 88312.955 rounded to the nearest 10? 88310 What is 133.552 rounded to zero dps? 134 Round -0.004926255 to 4 decimal places. -0.0049 Round 0.000895679 to 4 dps. 0.0009 What is -19844060 rounded to the nearest one hundred thousand? -19800000 Round -0.0818694 to three dps. -0.082 Round -0.0000619991 to seven dps. -0.000062 Round 0.1198705 to 3 decimal places. 0.12 What is 0.002433759 rounded to 5 dps? 0.00243 Round 3561787000 to the nearest one million. 3562000000 What is 6191047 rounded to the nearest one hundred thousand? 6200000 What is 0.0030302643 rounded to 5 dps? 0.00303 What is -11921.16 rounded to the nearest one thousand? -12000 What is 159851.34 rounded to the nearest 10000? 160000 What is 313680000 rounded to the nearest 1000000? 314000000 Round 4299.17 to the nearest ten. 4300 What is 17.82078 rounded to one dp? 17.8 Round -14.88325 to the nearest integer. -15 Round 2167577.4 to the nearest 100000. 2200000 Round 5269917 to the nearest one thousand. 5270000 What is 0.1991517 rounded to two dps? 0.2 Round 1221.859 to the nearest 10. 1220 Round 185.2209 to one dp. 185.2 What is -10763.834 rounded to the nearest 100? -10800 What is -9903 rounded to the nearest 10000? -10000 Round -0.206635 to two dps. -0.21 Round -0.0015983114 to 4 dps. -0.0016 Round 336852 to the nearest one hundred. 336900 What is 22475680 rounded to the nearest 10000? 22480000 What is 0.10199746 rounded to two decimal places? 0.1 Round -464.7623 to the nearest 10. -460 What is -3.592506 rounded to 3 dps? -3.593 What is -340103000 rounded to the nearest one million? -340000000 Round 413.2488 to 1 decimal place. 413.2 What is 0.0001034059 rounded to five dps? 0.0001 What is 0.21528346 rounded to 2 decimal places? 0.22 Round 2.86877 to 2 decimal places. 2.87 What is 3105910 rounded to the nearest 1000? 3106000 Round -0.00018689746 to 5 dps. -0.00019 What is 0.000322844 rounded to five dps? 0.00032 What is 0.0001012511 rounded to six decimal places? 0.000101 Round 0.100647 to three decimal places. 0.101 What is 0.0003310356 rounded to five dps? 0.00033 Round -0.00001478546 to 7 dps. -0.0000148 What is 0.0004357855 rounded to six decimal places? 0.000436 Round -53.27952 to one decimal place. -53.3 Round 44788210 to the nearest one hundred thousand. 44800000 Round -578079.6 to the nearest one thousand. -578000 What is -29.05158 rounded to two dps? -29.05 What is 7.770636 rounded to 2 decimal places? 7.77 What is -1.793035 rounded to two dps? -1.79 Round -4457122.1 to the nearest 100000. -4500000 Round -0.447985 to 1 dp. -0.4 What is -0.00013573086 rounded to 4 decimal places? -0.0001 What is 260046.7 rounded to the nearest 100000? 300000 Round -5602920 to the nearest 10000. -5600000 What is 0.0017366 rounded to 3 decimal places? 0.002 What is -158.2984 rounded to one decimal place? -158.3 Round -0.0205517 to 4 decimal places. -0.0206 Round 6902.07 to the nearest 1000. 7000 Round -0.0039836 to two dps. 0 Round -83255.34 to the nearest 1000. -83000 Round -7624919 to the nearest ten thousand. -7620000 Round 242.4171 to zero dps. 242 Round -5090.15 to the nearest 10. -5090 Round 1430320 to the nearest one million. 1000000 What is -1.7178105 rounded to one dp? -1.7 What is -24533.099 rounded to the nearest one hundred? -24500 What is 121402.7 rounded to the nearest 100? 121400 Round -5052.2 to the nearest 1000. -5000 Round -0.000001042113 to 7 decimal places. -0.000001 What is 0.00085864 rounded to six decimal places? 0.000859 Round -0.000010366123 to seven dps. -0.0000104 What is -321473340 rounded to the nearest 1000000? -321000000 Round -7712.986 to the nearest 1000. -8000 What is 0.000026369 rounded to five decimal places? 0.00003 Round 0.2640038 to 3 dps. 0.264 Round -0.037828 to 2 decimal places. -0.04 What is -0.0003238504 rounded to 4 dps? -0.0003 What is 234256600 rounded to the nearest one million? 234000000 What is 57018390 rounded to the nearest 100000? 57000000 Round -0.0326665 to 4 dps. -0.0327 What is -19913865 rounded to the nearest 100000? -19900000 Round -0.00007659317 to five decimal places. -0.00008 Round -611.14 to the nearest one hundred. -600 Round 2568.7939 to the nearest 10. 2570 Round 1389640 to the nearest 100000. 1400000 Round 869.3727 to the nearest 10. 870 Round 0.000193249 to 4 decimal places. 0.0002 What is -6636379 rounded to the nearest 1000000? -7000000 What is -24717800 rounded to the nearest ten thousand? -24720000 What is 55.97601 rounded to 1 decimal place? 56 Round -0.00001162026 to six dps. -0.000012 Round -0.0000392802 to seven dps. -0.0000393 What is 17770.641 rounded to zero dps? 17771 What is -0.462478 rounded to 3 dps? -0.462 What is 35548.7 rounded to the nearest one thousand? 36000 What is -0.04741 rounded to 0 decimal places? 0 What is 349565.14 rounded to the nearest one thousand? 350000 What is -80.85925 rounded to zero decimal places? -81 Round 0.0004528318 to five dps. 0.00045 Round -564590 to the nearest one thousand. -565000 Round 0.00008167386 to 6 dps. 0.000082 What is -7580000 rounded to the nearest 10000? -7580000 Round -462652600 to the nearest 1000000. -463000000 Round 0.035042 to four dps. 0.035 What is -0.015963 rounded to 2 dps? -0.02 What is -126.4344 rounded to the nearest integer? -126 Round -0.0000547932 to 5 dps. -0.00005 Round -19.80121 to 1 dp. -19.8 What is 27.22981 rounded to 1 decimal place? 27.2 What is -0.0396548 rounded to 2 decimal places? -0.04 Round 1.198928 to 1 decimal place. 1.2 What is 34.35211 rounded to the nearest 10? 30 Round -280.477 to the nearest 10. -280 Round 670.34772 to the nearest one hundred. 700 Round -338275 to the nearest ten thousand. -340000 Round -18754.27 to the nearest ten thousand. -20000 What is 0.00050437767 rounded to five decimal places? 0.0005 What is 0.0000876172 rounded to 7 decimal places? 0.0000876 What is 3051 rounded to the nearest 100? 3100 What is -12.894614 rounded to 2 decimal places? -12.89 What is 186560700 rounded to the nearest one hundred thousand? 186600000 Round -15488150 to the nearest ten thousand. -15490000 Round 1540.99 to the nearest 10. 1540 Round -0.00000348215 to seven dps. -0.0000035 What is -0.0366704 rounded to 3 decimal places? -0.037 Round -14.84009 to the nearest 10. -10 What is 215644700 rounded to the nearest 1000000? 216000000 Round -0.000252886 to four decimal places. -0.0003 Ro
{ "pile_set_name": "DM Mathematics" }
digit of z? 7 Let q be (-6665)/(-5) - 35/(-7). Suppose -83*w + 81*w = -q. What is the hundreds digit of w? 6 Suppose 0 = z + 33 - 37, z + 20489 = 3*t. What is the hundreds digit of t? 8 Suppose -5*n - 28 = 2*r, 0 - 20 = 4*n + 4*r. Let o(f) = -57*f - 11. What is the units digit of o(n)? 1 Suppose -2*w + 2482 = -2*h + 4*h, w = h + 1233. Let m = w - 706. What is the units digit of m? 1 What is the tens digit of -24*(-11)/(-33) + 7917? 0 Let b(r) = r**2 - 12*r. Let w be b(12). Suppose 2*i - 7 - 83 = w. Suppose -115 = -4*p + i. What is the tens digit of p? 4 Let t be (-6)/(-3)*(-3 + 1)*-1. Suppose -s - t*s - v + 1033 = 0, 0 = 2*v + 4. What is the units digit of s? 7 Let q = -184 - -182. What is the hundreds digit of (-60 + q)*((-15)/2 - 1)? 5 What is the hundreds digit of 1173 + 16 + (-9)/((-9)/(-8))? 1 Let i = -40 + 47. Let r(d) = 2*d**3 - 8*d**2 + 9*d - 3. Let k be r(i). Suppose -2*a = -8*a + k. What is the tens digit of a? 5 Let z = -30 + 35. Suppose 4*p + 2*o - 4 = 0, p - o + 6 = z*p. Suppose -43 = -p*v + 55. What is the tens digit of v? 4 Let a(w) = -w**3 - 10*w**2 - 10*w - 5. Let r be a(-9). Suppose r = 5*s - 21. Suppose 5*t = c + s + 23, 2*t = -2*c + 4. What is the units digit of t? 5 Let j = -332 + 304. Let l(q) = 2*q**2 + 49*q - 32. What is the tens digit of l(j)? 6 Suppose -l = 6*f - 3*f - 27, 4*l = -2*f + 98. Let k = 28 - l. Suppose -n - k*n = -285. What is the units digit of n? 7 Suppose 281*a - 284*a = -297. What is the tens digit of a? 9 Suppose 0 = 2*o + 4*y - 14, -4*y - 8 = 3*o - 25. Suppose -s + 749 = o*q, 0*q + q - 243 = -2*s. What is the units digit of q? 1 Let c = -23904 + 50349. What is the ten thousands digit of c? 2 Let b = 1196 - -215. Let w = 388 + b. What is the units digit of w? 9 Let j = -414 - -350. What is the hundreds digit of (-39728)/j + (-15)/(-12)? 6 What is the units digit of 5055/(33/(-9) - (-2 + (-4)/2))? 5 Let d = 773 - 768. Suppose -6117 = -5*s + s - 3*t, 5*t - 7650 = -d*s. What is the tens digit of s? 2 Let n be ((-6)/27)/((-28)/132426). Suppose 3*z - n = f + 1243, 4*z - 3037 = -3*f. What is the units digit of z? 3 Let j be 5/(-15)*-3 - (-2 + -2). Suppose -4*y - 4*q = -47 - 1269, j*q = -y + 337. What is the hundreds digit of y? 3 Suppose 710*c + 97762 = 724*c. What is the thousands digit of c? 6 Let p(g) = -464*g - 1685. What is the units digit of p(-21)? 9 Let l(r) = 5235*r + 4052. What is the ten thousands digit of l(12)? 6 What is the tens digit of (-554352)/168*14/(-4)? 4 Let n = 18761 - 5623. What is the tens digit of n? 3 What is the hundreds digit of -2*(-5)/(-2) + 3826? 8 Let u(h) = -h**3 - 8*h**2 - 9*h + 4. Let r be u(-9). Suppose r = 8*p - 522. What is the tens digit of p? 8 Suppose -2*b - 2*i = 248 - 32, 0 = -3*b - 2*i - 324. What is the hundreds digit of (b/42)/((-5)/875)? 4 Let r(q) = 107*q - 42. Let g be 1 - (-3 - -6) - -7. What is the tens digit of r(g)? 9 Let i(x) = x**3 + 26*x**2 + 9*x - 24. Let c = 136 - 161. What is the hundreds digit of i(c)? 3 Let a be ((-14)/(-5))/(42/105). Suppose 0 = a*w - 8*w + 201. What is the tens digit of (8/(-8))/((-3)/w)? 6 Let k be 1*-1*(-16476)/(-18)*-6. Suppose -3*n - 1421 + k = 0. What is the units digit of n? 7 Let w = 183219 - 97369. What is the units digit of w? 0 Suppose 2*u - 12556 = 3*h, -h = -2*u + 12965 - 405. What is the hundreds digit of u? 2 Suppose -4*w - 44662 = -3*j, -4*j - 5*w + 59554 = -8*w. What is the hundreds digit of j? 8 Let u(w) = -8*w**3 - 30*w**2 + 7*w - 49. What is the tens digit of u(-10)? 8 Suppose -1860424 + 153524 = -73*p + 21*p. What is the hundreds digit of p? 8 Let l = 35 - 35. Suppose l*p + 7*p = 665. Let b = -13 + p. What is the units digit of b? 2 Suppose -24*l + 92366 + 45110 = -75932. What is the units digit of l? 2 Suppose 3*n + 5*n = -n. Suppose 2*h - 6 + n = 0. Suppose h*i - 400 = 56. What is the hundreds digit of i? 1 Let u(x) = 2*x**3 - 3*x**2 - 147. Let m be u(27). What is the hundreds digit of m/60 + (-1)/((-10)/(-2))? 6 Suppose 95213 = 2*o + 4*c + 24987, 3*c + 175591 = 5*o. What is the units digit of o? 7 Suppose 24*z - 26*z + 16184 = -i, -2*i + 40451 = 5*z. What is the units digit of z? 1 Let w = 7201 + -6126. What is the tens digit of w? 7 Suppose 10472 = -24*f + 10*f. Let t = -435 - f. What is the hundreds digit of t? 3 Let z(v) = 5*v**2 + 6*v + 6. Let k(o) = -4*o**2 - 6*o - 6. Let f(i) = -4*k(i) - 3*z(i). Let g be f(-4). What is the tens digit of (135/4)/1 + g/(-8)? 3 What is the thousands digit of 5 + (-9 + 10)/((-8)/(-23608))? 2 Let i(k) = -85*k - 43. Let p(s) = -83*s - 44. Let y(t) = 6*i(t) - 5*p(t). What is the tens digit of y(-4)? 4 Let k = -121452 + 175878. What is the ten thousands digit of k? 5 Suppose -m = -15*m + 16548. Let z = -107 - -114. Suppose -o + z*o = m. What is the units digit of o? 7 Let m(k) be the first derivative of -k**2/2 + 705*k - 16. Let i be m(0). What is the tens digit of i/20 - 6/24? 3 What is the hundreds digit of 0 + 5849 - (18 + -21 - 5)? 8 Suppose -73*g - 45707 + 965361 = 0. What is the thousands digit of g? 2 What is the thousands digit of (25/(1250/(-585560)))/(8/(-60))? 7 Let m = -19979 - -41525. What is the thousands digit of m? 1 Let b(k) = -8*k**3 - k**2 + 119*k + 48. What is the hundreds digit of b(-16)? 6 Let u(p) = -4*p**2 - 6*p + 8. Let f be u(-2). Suppose -2*i + 166 = f*c - 792, -4*i + 1193 = 5*c. What is the tens digit of c? 4 Let g(j) = -j**3 - 138*j**2 + 333*j + 923. What is the thousands digit of g(-141)? 3 Let f be 0/(-1 - 5) - 8. What is the tens digit of (3 + -75)/f + 143? 5 Suppose 0 = n + 2*k - 11, -2*k + 43 = 4*n + 11. Suppose -4*y - 3*h + 122 = 0, -y - 2*h + n = -21. What is the tens digit of y? 3 Let p(o) = -136*o - 182. Let a(j) = -68*j - 91. Let d(m) = 5*a(m) - 2*p(m). What is the tens digit of d(-7)? 8 Let s = -33526 + 48880. What is the units digit of s? 4 Let d = 25623 - -10499. What is the ten thousands digit of d? 3 Let r(p) = 54*p - 418. Suppose 242 = -43*n + 65*n. What is the tens digit of r(n)? 7 Suppose 41943 = 5*f - 3*d, -11*f + 7*f = -2*d - 33552. What is the tens digit of f? 8 Let b(q) = -21*q**3 - 21*q**2 - 105*q - 12. What is the hundreds digit of b(-5)? 6 Let f be (((-216)/(-3))/(-3))/((-40)/60). Suppose -f*o + 21917 = 2657. What is the tens digit of o? 3 Let v(h) = h**2 - 4*h - 8. Let a be v(-4). Let p be (-4*(-9)/a)/(6/28). Suppose 9*u - 3*n = p*u + 192, -5*n + 20 = 0. What is the hundreds digit of u? 1 Let c be (4/(-2) - -3*3) + 0. Suppose -w - 5340 = -c*w. Suppose -6*i - 146 = -w. What is the units digit of i? 4 Let u = 30 - 40. Let z be (-190)/u*(-1*15 + 1). What is the hundreds digit of -2 - 0 - z/2? 1 Suppose 4*g - 21449 = 7*g - 101315. What is the thousands digit of g? 6 Let j(z) = 2937*z - 518. What is the thousands digit of j(3)? 8 Let s = -35 + 51. Suppose s = 3*a + 76. What is the tens digit of (30/24)/((-1)/a)? 2 Let l(o) = 0*o - 105 + 103 + 3*o. Let u be l(-1). What is the hundreds digit of (-653)/u - (-3)/((-30)/(-4))? 1 Suppose -5*z + m = -232, -5*z + 371 = -5*m + 131. Let f = -28 - -154. Let y = f - z. What is the tens digit of y? 8 Let h = -48 - -63. Suppose -3766 = -h*f + f. Let u = 470 - f. What is the units digit of u? 1 Let p be -6*2/(-4) - (-1 + 0). Suppose 0 = p*a - 344. Let f = a + 23. What is the hundreds digit of f? 1 Suppose -2*y + 3*f + 7634 = 0, -93 = -2*y - 4*f + 7555. What is the thousands digit of y? 3 Suppose 142*s - 2503384 = 4431186. What is the thousands digit of s? 8 Let c = 295 - 295. Suppose c = z + 5*p - 923, z - 402 = -3*p + 515. What is the tens digit of z? 0 Let y = 8925 - 4939. What is the tens digit of y? 8 Let s(c) = -143*c. Let o be s(1). Let h = -139 - o. Suppose -5*p + 5*m - 5 = 0, p + 2*p - h*m + 6 = 0. What is the units digit of p? 2 Let p(j) be the third derivative of 11*j**4/24 - 4*j**3 + j**2. Let f be ((-14)/5)/((-14)/70). What is the tens digit of p(f)? 3 Let y be 5 - (-3 + 2 - 12). Suppose -t = -y + 13. Suppose -3*j = t*s - 773, 213 + 50 = j - s. What is the units digit of j? 1 Let o be 149/(-596)*((-1 - -2) + -37). Let a(j) = 3*j**3 - 8*j**2 - 19*j + 24. What is the thousands digit of a(o)? 1 Let f = 69 - 57. What is the units digit of ((-8)/(-4))/((f/808)/3)? 4 Suppose 36 = 2*r - 11*r. What is the units digit of (1561/35 - r)/(3/15)? 3 Let l = 72 - 70. Let h(r) = 3*r**2 -
{ "pile_set_name": "DM Mathematics" }
e of -7*l**2/2 - 2*l - 2. Suppose 0 = -42*d + 41*d - 0 - 1. Calculate d*b(v) - 5*x(v). 2*v + 2 Let c(u) = 2*u**3 + 45*u**2 + 41*u - 29. Let w(l) = -11*l**2 - 10*l + 7. Let i(r) = -6*c(r) - 25*w(r). Let g(d) = -d**2 - d. Calculate -5*g(b) - i(b). 12*b**3 + b + 1 Let y = -154265 - -154255. Let p(d) be the first derivative of -9*d**2/2 + 5*d + 2. Let b(x) = 28*x - 16. What is y*p(q) - 3*b(q)? 6*q - 2 Let a(l) = -842*l - 2. Let h(v) = 844*v + 4. Calculate 3*a(t) + 2*h(t). -838*t + 2 Let s(v) = 1302*v + 56. Let a(b) = 651*b + 32. What is 7*a(h) - 4*s(h)? -651*h Let z(n) = -2*n**2 - 3*n - 1. Let l(p) = 5*p + 1. Let d be l(1). Suppose -110*u + 101*u = -18. Let h(b) = b**2 + b. Determine d*h(v) + u*z(v). 2*v**2 - 2 Let m(f) = -5*f**2 - 2*f. Suppose -z = -4*h - 25, -21*h + 128 = 6*z - 23*h. Let y(s) = 18*s + 39*s**2 + 23*s**2 + 3*s - 13*s**2. Calculate z*m(r) + 2*y(r). -7*r**2 Let n(a) = -29*a**2 - 3*a. Let k(v) = 3*v**3 + 23*v**2 + 67. Let i be k(-8). Let m(b) = 58*b**2 + 5*b. Give i*m(u) + 5*n(u). 29*u**2 Let l(x) = 7*x**2 + 2*x + 3. Let m(t) = 2*t**2 - 4*t**2 + 7*t - 94 + 16*t**2 + 99 - 4*t. What is -5*l(w) + 3*m(w)? 7*w**2 - w Let d(i) = 33*i - 786. Let o(x) = -8*x + 197. Give 5*d(a) + 21*o(a). -3*a + 207 Let h(c) = -19*c - 3. Let q(b) = 921*b + 54. Let v(l) = 211*l + 13. Let k(n) = -2*q(n) + 9*v(n). Calculate 7*h(r) + 2*k(r). -19*r - 3 Let b(k) = -15*k**2 - 27*k - 3. Let x(h) = 76*h**2 + 155*h + 14. Calculate 11*b(r) + 2*x(r). -13*r**2 + 13*r - 5 Let k(l) be the third derivative of l**4/24 + l**3/6 + 474*l**2. Let y(a) = -3*a + 7. Calculate -2*k(c) - y(c). c - 9 Let u(i) = 5*i**3 + i - 2. Let s(o) = -1 - 1515*o**3 + o - 1 + 1521*o**3. Determine -3*s(k) + 4*u(k). 2*k**3 + k - 2 Let w(z) = 15*z + 590. Let v be w(-39). Let p(j) = -3*j. Let d(g) = -7*g + 1. What is v*p(t) - 2*d(t)? -t - 2 Let z(w) = -6*w. Let b(p) be the second derivative of p**3 - p - 560. Calculate 4*b(n) + 3*z(n). 6*n Let z(f) = 2*f**3 + 2*f**2 + 4. Let c(g) = 24*g**3 + 2*g**2 + 12*g + 8. Calculate c(u) - 2*z(u). 20*u**3 - 2*u**2 + 12*u Let x(l) = -83*l**2 + 32*l + 6. Let d(c) = 84*c**2 - 38*c - 7. Give 8*d(w) + 9*x(w). -75*w**2 - 16*w - 2 Let x(d) = d**3 + 65*d**2 - 7*d + 226. Let s(h) = -26*h**2 + 3*h - 113. Calculate 5*s(t) + 2*x(t). 2*t**3 + t - 113 Let f(n) = 3196*n**3 + 11*n**2 - 22. Let g(t) = 799*t**3 + 3*t**2 - 6. Give 3*f(q) - 11*g(q). 799*q**3 Let l(w) = -5*w**2 - 6*w + 4. Let c(d) = 10*d**2 + 13*d - 9. Let a = -7024 - -7020. Determine a*c(b) - 9*l(b). 5*b**2 + 2*b Let z(b) = 146*b - 2633. Let a be z(18). Let r(m) = 2*m**2 - 2*m + 13. Let l(t) = 3*t**2 - 3*t + 19. Give a*l(d) + 7*r(d). -d**2 + d - 4 Let t(j) = -j + 5. Let y(l) = 39. Let h(g) = 58. Let m(n) = -2*h(n) + 3*y(n). What is -5*m(q) - t(q)? q - 10 Let d(a) = -4*a**3 - 15*a**2 - 150*a - 5. Let n(y) = -y**3 - 3*y**2 - y. Calculate -d(l) + 5*n(l). -l**3 + 145*l + 5 Let z(l) = 2*l**2 - 5*l + 2. Suppose -204*j - 155 = 157*j - 330*j. Let i(a) = 3*a**2 - 9*a + 3. What is j*z(u) + 3*i(u)? -u**2 - 2*u - 1 Suppose -q - 16 = 3*q. Let m(h) = h + 1. Let g(x) be the first derivative of -6*x**2 - 10*x + 577. Determine q*g(i) - 40*m(i). 8*i Let j(d) = -7*d**3 - 5*d**2 - 5*d + 5. Let t = 1 + 1. Suppose -366*s + 453*s = -158 - 277. Let z(q) = -3*q**3 - 2*q**2 - 2*q + 2. Give s*z(i) + t*j(i). i**3 Let v(g) = 4*g**3 - 2*g**2 + 2*g - 1. Let z(w) be the second derivative of 1/6*w**3 + 1/20*w**5 + 0*w**2 + 52*w - 1/12*w**4 + 0. What is -v(c) + 2*z(c)? -2*c**3 + 1 Let l(n) = -n**2 - 3*n + 3. Suppose m = -2 - 1. Let x be l(m). Let b = -5869 - -5870. Let z(h) = -1. Let v(k) = -3*k + 3. Determine b*v(p) + x*z(p). -3*p Let g(i) = -125*i**3 - 11*i**2 - 183*i - 11. Let s(p) = 58*p**3 + 5*p**2 + 92*p + 5. What is -6*g(w) - 13*s(w)? -4*w**3 + w**2 - 98*w + 1 Let n(j) = -6*j**3 + 40*j**2 + 281*j - 7. Let v(u) = 2*u**3 - 15*u**2 - 95*u + 3. What is 3*n(k) + 8*v(k)? -2*k**3 + 83*k + 3 Let z(h) = 143*h**3 - 77*h**2 + 77*h + 77. Let j be 47678/620 - 1/(-10). Let k(a) = 11*a**3 - 6*a**2 + 6*a + 6. Calculate j*k(i) - 6*z(i). -11*i**3 Let n(v) = -v**2. Let p(c) = -33*c**2 - 34*c**2 + 65*c**2. Let y(m) = -m**2 + 14*m + 20. Let j be y(15). Let o be j/(5/(-2))*-7. What is o*n(f) - 6*p(f)? -2*f**2 Let j(c) = -13*c + 6. Let f(w) = -28*w - 221. Let v be f(-8). Suppose -79 = -9*q + 8*q - 2*n, 228 = v*q - 3*n. Let y(r) = 168*r - 77. What is q*j(x) + 6*y(x)? 7*x Let u(f) = 536*f**2 - 3*f + 9. Let v(m) = -168305*m**2 + 943*m - 2829. Give 1886*u(s) + 6*v(s). 1066*s**2 Let f(j) = -j + 8. Let k(l) = 89*l**3 - 13*l**2 + 5*l - 40. Calculate 5*f(m) + k(m). 89*m**3 - 13*m**2 Let f(b) = -b**3 + b**2 - 99*b. Let z(w) = -2*w**3 + 4*w**2 - 199*w. What is 5*f(u) - 2*z(u)? -u**3 - 3*u**2 - 97*u Let c(i) = 4*i**3 + 3*i**2 - 3*i - 3. Let n(w) = 15*w**3 + 11*w**2 - 11*w - 11. Let h = -56 - -96. Suppose 34*z - h*z - 36 = 0. Determine z*n(m) + 22*c(m). -2*m**3 Let u(z) = -z**3 - 55*z**2 - 3*z + 1. Let d(o) = 2*o**3 + 59*o**2 + 3*o - 2. Determine 5*d(f) + 6*u(f). 4*f**3 - 35*f**2 - 3*f - 4 Let w(h) = -h - 1. Suppose 4*y = -3*g - 204, -2*g + 0 = 8. Let d = y + 96. Let k = d - 47. Let b(v) = 3*v - 2. Give k*b(z) - w(z). 4*z - 1 Let x(h) be the first derivative of -2*h**2 - 3*h - 3. Let a(b) = -5*b - 3. Let w(t) = t**3 + 5*t**2 + 8*t + 42. Let d be w(-5). Give d*a(n) - 3*x(n). 2*n + 3 Let d(a) = 208*a**2 + 39*a - 39. Let z be 78*(2 + (-40)/16). Let i(v) = 11*v**2 + 2*v - 2. Give z*i(g) + 2*d(g). -13*g**2 Let f be 0*(1 + (-9)/6). Let t(z) = -z + 19 + f*z - 8*z + 7*z. Let x = 399 - 393. Let d(n) = -n + 10. Determine x*t(w) - 11*d(w). -w + 4 Let r(l) = -506*l + 139. Let u(x) = 709*x - 194. Give 17*r(a) + 12*u(a). -94*a + 35 Let a(j) = -9*j - 41. Let m(x) = -8*x - 34. Let d(i) = -5*a(i) + 6*m(i). Let t(y) = -y**2 + y + 1. Determine -d(p) - 3*t(p). 3*p**2 - 4 Let z(k) = 168*k. Let x(p) = -7*p. Suppose 26*g + 72 = -10*g. Determine g*z(y) - 49*x(y). 7*y Let h(i) = i - 1. Let v(w) = -3*w + 3. Let b be 52/(-2) + 15/(195/52). Let p be b/33*21/2. What is p*h(j) - 3*v(j)? 2*j - 2 Let x(z) = -6*z**3 - 4*z**2 + 20. Let f(d) = -37 + 37 - 21 - 6*d**3 + 11*d**3 - 2*d**2 + 5*d**2. Calculate -4*f(u) - 3*x(u). -2*u**3 + 24 Let f(j) = -52*j**3 + 8*j**2 + 8*j. Suppose -5*q - h - 30 = -42, 3*h - 26 = -5*q. Let p(i) = -i**3 + i**2 + i. What is q*f(x) - 8*p(x)? -44*x**3 Let u(j) = 3*j + 92*j**2 + 5 - j - 430*j**2 + 340*j**2. Let k(n) = 0*n - n**2 + 0*n - 1. Calculate -3*k(p) - u(p). p**2 - 2*p - 2 Let a = -76 + 75. Let d(m) be the third derivative of m**4/24 + m**2 - 4*m. Let k(p) = -7*p**2 - 5*p. What is a*k(j) - 5*d(j)? 7*j**2 Let i(h) = -1. Let g = 821 - 689. Suppose -11*q - g = -154. Let r(a) = -8*a. Calculate q*i(t) + r(t). -8*t - 2 Let i(y) = -4*y - 45. Let v(t) = 302*t - 188. Let g(d) = -94*d + 63. Let a(k) = 16*g(k) + 5*v(k). Calculate 5*a(r) + 8*i(r). -2*r - 20 Let a(p) = 21*p + 2. Let w(s) = 91*s + 33. Let t(v) = -90*v - 29. Let x(f) = 6*t(f) + 5*w(f). Calculate 18*a(u) + 4*x(u). 38*u Let t(j) = 12*j**2 + 4*j + 1. Let h(c) = 25*c**2 + 11*c + 1. Let v(s) = 3*h(s) - 5*t(s). Let n(w) = -w**2 - 7*w**2 + 3 - 7*w - 2. Determine 11*n(a) + 6*v(a). 2*a**2 + a - 1 Let t(l) = 46*l + 2251. Let r be t(-49). Let i(a) be the first derivative of -4*a**2 - 3*a - 3. Let g(n) = 25*n + 10. Calculate r*g(q) - 10*i(q). 5*q Let c(r) = -14*r + 4897. Let z(p) = -37*p + 14691. Give 8*c(u) - 3*z(u). -u - 4897 Let r(n) = -n**3 - 2*n**2 - 2*n - 1. Let x(q) = 3*q**2 + q - 6. Let v(c) = 6*c**2 + 4*c - 6. Let a(p) = v(p) - x(p). Determine -2*a(z) - 3*r(z). 3*z**3 + 3 Let c(t) = -6*t**2 + t + 3. Let w(g) = -g**2 + g + 1. Let f(i) = -i**3 + 7*i**2 + 6*i - 45. Let y be f(7). Let q be -2*y/(-33) + 156/132. Give q*c(s) - 3*w(s). -3*s**2 - 2*s Let m(g) = 6*g**3 + 24. Let y(c) = 2*c**3 + 8. Suppose 4 = 4*w - b + 20, 20 = -5*b. Let r be 567/36 - 1/(-4). Calculate r*y(v) + w*m(v). 2*v**3 + 8 Let a(y) = -14*y**2 - 12*y - 18. Let c(z) = -z**2 - z - 1. Suppose -36*d = -41*d, 5*f + 5*d = 5. Determine f*a(n) - 12*c(n). -2*n**2 - 6 Let f(t) = t - 1. Let l(c) = -c**3 + 12*c**2 - 19*c - 3. Let y be l(10). Let p(z) = 8 + y - 11 - 6*z - 2*z. Calculate -3*f(j) - p(j). 5*j - 1 Let k = 95 + -34. Let x(j) = 4*j + 60*j**2 - 5*j - k*j**2. Let s(r) = r**3 - 3*r**2 - 3*r - 1. What is 2*s(w) - 6*x(w)? 2*w**3 - 2 Let h(t) be the second derivative of 0*
{ "pile_set_name": "DM Mathematics" }
288 (base 11) to base 2. 101010010 Convert 2727 (base 11) to base 3. 11212001 12245 (base 6) to base 13 aa9 -8a4 (base 16) to base 9 -3027 -3343 (base 5) to base 14 -25b What is 391 (base 11) in base 4? 13033 93 (base 15) to base 16 8a -596 (base 13) to base 8 -1710 Convert 222230 (base 4) to base 8. 5254 What is 1544 (base 8) in base 15? 3cd What is 4324 (base 7) in base 10? 1537 161 (base 9) to base 13 a6 What is -14523 (base 9) in base 14? -3875 3205 (base 6) to base 8 1325 What is 1200222 (base 3) in base 8? 2331 Convert -480 (base 12) to base 16. -2a0 Convert -3616 (base 11) to base 9. -6442 Convert -26b (base 15) to base 13. -335 Convert 2041 (base 7) to base 9. 874 What is -2150 (base 11) in base 7? -11163 Convert -570 (base 14) to base 15. -4bd Convert 267 (base 12) to base 8. 557 What is -1ba (base 15) in base 14? -208 4a2 (base 13) to base 6 3424 What is -ac4 (base 15) in base 6? -15134 What is 200220120 (base 3) in base 12? 7b89 -302322 (base 4) to base 14 -128a -6d4 (base 15) to base 4 -120031 What is -471 (base 11) in base 4? -20302 Convert 5573 (base 10) to base 2. 1010111000101 What is -5131 (base 7) in base 11? -1384 Convert -5433 (base 8) to base 4. -230123 Convert -66455 (base 8) to base 13. -c94c -1435 (base 13) to base 4 -231211 -201101 (base 3) to base 14 -295 d116 (base 15) to base 14 12117 -3132 (base 6) to base 14 -384 What is -8601 (base 9) in base 5? -200234 -8b6 (base 15) to base 12 -1183 Convert -2024122 (base 5) to base 2. -1000000100001101 What is -764 (base 14) in base 2? -10110110100 -17f0 (base 16) to base 6 -44212 What is 211 (base 7) in base 13? 82 210202 (base 4) to base 9 3177 What is 1001010111 (base 2) in base 8? 1127 9835 (base 10) to base 7 40450 Convert 3208 (base 14) to base 16. 21b8 What is -110101010011 (base 2) in base 3? -11200100 Convert -804 (base 15) to base 3. -2110211 Convert 16d65 (base 14) to base 7. 326455 620 (base 14) to base 13 718 Convert 1120 (base 6) to base 8. 410 What is 22602 (base 8) in base 14? 36dc Convert -73 (base 8) to base 12. -4b What is 1212003 (base 5) in base 11? 16105 What is -210143 (base 7) in base 13? -13577 What is 63153 (base 7) in base 10? 15522 Convert 1000112001 (base 3) to base 6. 232514 What is -5367 (base 11) in base 14? -2827 What is 245 (base 10) in base 9? 302 7613 (base 9) to base 7 22221 Convert 28c0 (base 16) to base 11. 7924 What is -6590 (base 15) in base 7? -116466 7cc2 (base 13) to base 15 5310 Convert 398 (base 11) to base 6. 2102 What is -5b04 (base 13) in base 11? -9720 What is 10020100 (base 3) in base 14? c06 What is 2ed4 (base 16) in base 8? 27324 What is -100234 (base 5) in base 6? -22442 Convert -21573 (base 9) to base 5. -424242 Convert -10021121 (base 4) to base 3. -212022002 212 (base 15) to base 14 255 Convert 231 (base 12) to base 16. 145 Convert -22133 (base 5) to base 8. -3007 What is 3736 (base 16) in base 2? 11011100110110 What is -300042 (base 6) in base 12? -11622 -1402034 (base 5) to base 2 -110111011101010 What is -30101000 (base 4) in base 14? -14448 -414314 (base 5) to base 14 -4dd3 What is -997 (base 11) in base 15? -54a -2304 (base 6) to base 14 -2ac What is -32fa (base 16) in base 12? -7676 179 (base 11) to base 16 cf What is 2c (base 13) in base 8? 46 What is -27273 (base 11) in base 3? -1222101112 Convert -4545 (base 12) to base 3. -101112122 220d (base 16) to base 14 3269 -652 (base 14) to base 3 -1201020 What is -12176 (base 9) in base 13? -3945 387 (base 9) to base 15 167 Convert 4b60 (base 12) to base 14. 31a0 -6c1 (base 15) to base 14 -7b5 -c325 (base 16) to base 11 -34596 -1406 (base 9) to base 8 -2043 3194 (base 10) to base 9 4338 What is -173a6 (base 12) in base 13? -12276 5561 (base 12) to base 5 300213 Convert 236354 (base 7) to base 3. 2012001212 Convert -4a8d (base 15) to base 12. -9237 26010 (base 8) to base 14 4172 Convert -11011 (base 2) to base 5. -102 23aa5 (base 12) to base 14 13805 4b60 (base 12) to base 11 648a What is 7055 (base 9) in base 6? 35505 -110110111100010 (base 2) to base 3 -1102120212 -22222112 (base 3) to base 2 -1100110010100 Convert 210021001 (base 3) to base 9. 23231 What is 17462 (base 8) in base 13? 3834 What is 31424 (base 6) in base 2? 1000010101000 Convert 2220102 (base 3) to base 6. 13445 What is -78d (base 16) in base 5? -30213 What is 1011310 (base 4) in base 11? 33a2 30311 (base 4) to base 3 1010102 -511 (base 8) to base 10 -329 What is 5887 (base 16) in base 12? 11147 Convert 1031 (base 4) to base 14. 57 What is 1321012 (base 4) in base 5? 222000 What is 392 (base 11) in base 9? 565 What is -c48 (base 16) in base 14? -1208 -6762 (base 8) to base 5 -103240 Convert -550 (base 11) to base 5. -10120 ba29 (base 15) to base 2 1001100111110110 What is -1161 (base 12) in base 3? -2200001 -14734 (base 9) to base 13 -4780 Convert 1053 (base 7) to base 9. 463 What is 3737 (base 9) in base 16? ae4 -11330 (base 4) to base 6 -1432 -1233 (base 7) to base 3 -122020 Convert 325022 (base 6) to base 7. 141521 What is -8a18 (base 15) in base 13? -1042a What is 2c (base 14) in base 4? 220 Convert 101001111101 (base 2) to base 11. 2021 3668 (base 10) to base 3 12000212 667 (base 16) to base 12 b47 What is -100001100010111 (base 2) in base 12? -9b33 Convert 12100 (base 4) to base 9. 484 Convert -12001121 (base 3) to base 6. -25024 -42a9 (base 12) to base 9 -11043 Convert -132a (base 13) to base 8. -5264 373 (base 8) to base 12 18b Convert -23053 (base 8) to base 11. -7383 What is -220220 (base 3) in base 10? -672 What is 135233 (base 6) in base 7? 52266 Convert -319 (base 10) to base 16. -13f What is -3206 (base 7) in base 12? -7a5 What is 1690 (base 11) in base 12? 12b8 11521 (base 6) to base 14 89b What is 20102211 (base 3) in base 4? 1021111 Convert -2424 (base 5) to base 9. -444 Convert -8575 (base 14) to base 11. -16341 Convert -12315 (base 8) to base 13. -2568 Convert 181 (base 13) to base 10. 274 What is 101100 (base 2) in base 6? 112 c17 (base 13) to base 14 a64 What is 111241 (base 6) in base 16? 24a9 Convert -147b (base 16) to base 10. -5243 What is 39ac (base 16) in base 9? 22224 -222105 (base 6) to base 2 -100100010111001 Convert -4553 (base 7) to base 12. -b5b What is -231304 (base 6) in base 12? -b534 Convert 1000001100010101 (base 2) to base 7. 166556 What is 124414 (base 5) in base 6? 35024 What is 120242 (base 6) in base 15? 317b Convert -177 (base 13) to base 4. -10023 Convert 11213 (base 4) to base 10. 359 -1000100110 (base 2) to base 15 -26a -535 (base 7) to base 15 -131 b7 (base 16) to base 13 111 What is -2739 (base 11) in base 16? -ddf -109 (base 13) to base 5 -1203 What is -735 (base 8) in base 13? -2a9 -101210 (base 4) to base 12 -798 Convert -101000001010 (base 2) to base 6. -15522 What is -1110 (base 12) in base 14? -988 Convert -817 (base 9) to base 7. -1636 What is -22113 (base 5) in base 6? -11033 What is -9742 (base 15) in base 14? -b948 5022 (base 7) to base 6 12003 What is -1110000011011 (base 2) in base 5? -212240 204a6 (base 12) to base 8 122276 Convert 437 (base 12) to base 13. 388 35571 (base 10) to base 5 2114241 What is 58a (base 13) in base 7? 2540 -1020 (base 6) to base 14 -124 Convert 1102010121 (base 3) to base 9. 42117 -30025 (base 6) to base 13 -1a15 3631 (base 11) to base 7 16600 Convert 287 (base 10) to base 11. 241 What is 34452 (base 7) in base 9? 13066 -10721 (base 9) to base 11 -5408 What is -31532 (base 6) in base 16? -10d0 Convert -23a (base 12) to base 14. -19c What is 32111300 (base 4) in base 15? 1260b 19bd (base 15) to base 14 2066 -2218a (base 11) to base 9 -48106 -212021 (base 3) to base 9 -767 Convert 16423 (base 7) to base 13. 2185 Convert 16620 (base 11) to base 14. 8739 -338 (base 9) to base 12 -1b2 What is -102323 (base 4) in base 14? -627 What is 120000 (base 3) in base 10? 405 -4410 (base 5) to base 4 -21131 What is 105022 (base 6) in base 14? 3338 What is 2406 (base 10) in base 15? aa6 What is 300323 (base 4) in base 13? 156b 2c2 (base 16) to base 9 864 Convert -622 (base 9) to base 11. -420 17ca3 (base 15) to base 16 12d2f Convert 5255 (base 7) to base 16. 73d -3 (base 4) to base 15 -3 What is -278 (base 10) in base 3? -101022 What is 31340 (base 5) in base 2? 100000101111 102200 (base 3) to base 8 473 Convert -132000 (base 6
{ "pile_set_name": "DM Mathematics" }
ed to five dps? 0.0001 Suppose 31*z + 41943600 = 58*z - 36*z. What is z rounded to the nearest one million? -5000000 Let h = -296833 + 296832.99999863929. What is h rounded to seven dps? -0.0000014 Let d = 88813.0000075441 - 88813. Round d to 7 dps. 0.0000075 Let q = -0.058 - 593.942. Let l = q - -594.000431. Round l to four decimal places. 0.0004 Let z = -1.53 - -27.33. Let l = -25.79999632 + z. What is l rounded to 6 dps? 0.000004 Let l be (-3132611845)/(-186) + 1/(-12)*-10. What is l rounded to the nearest 100000? 16800000 Let v = -422.46932 + -0.32068. What is v rounded to the nearest integer? -423 Let z(d) = -332*d - 66. Let h be z(-24). Suppose -12578 = -16*a + h. Round a to the nearest one hundred. 1300 Let i(t) = -28241*t - 143. Let l be i(-3). What is l rounded to the nearest ten thousand? 80000 Let g = 753227972 - 753227820.9999905. Let p = g - 151. What is p rounded to six dps? 0.00001 Let x = 34936589 - 34936494.000612. Let s = -153 + 248. Let h = s - x. What is h rounded to four dps? 0.0006 Let j = 141.03 - 134. What is j rounded to the nearest 10? 10 Let r(q) = 349119*q**2 + 19*q + 120. Let t be r(-5). Round t to the nearest one hundred thousand. 8700000 Let f be 2*(-3)/6*32/(-8). Suppose -116 = 4*d - 5*k + 157, 130 = -2*d - f*k. Round d to the nearest 10. -70 Let t = 95.2 + -263.1. Let c = t + 174.77. Round c to the nearest integer. 7 Suppose -72*o = -299*o - 12994161. Round o to the nearest one hundred. -57200 Let r = -9869987.71986 - -9870130. Let k = r - 422.28145. Let c = -280 - k. What is c rounded to four dps? 0.0013 Let b = -1924.94744 - 0.15256. What is b rounded to the nearest 10? -1930 Suppose -1836 + 90402 = 2*j. Suppose -10*i + 13*i = j. Let g = 8461 - i. What is g rounded to the nearest one thousand? -6000 Suppose -165*m + 399287133 + 11415579 = -416046288. What is m rounded to the nearest 100000? 5000000 Let y = -18 - -17.9932. Let c = y + -0.0279. Let i = c + 0.054. Round i to three dps. 0.019 Let x = -2.122 + -0.018. Let t = x + 29.04. What is t rounded to the nearest ten? 30 Let d = 113.9 + -113.8999985791. Round d to seven decimal places. 0.0000014 Let d = 19134996 + -34933996. What is d rounded to the nearest one million? -16000000 Let w = 2.11 + -2.376. Let g = w - 607.734. Let j = -608.0271 - g. What is j rounded to three dps? -0.027 Let d = -71.8 + 90. Let h = -6.07 + d. Let x = 0.37 + h. Round x to the nearest integer. 13 Let k = 0.085 + -213.085. Let v = 45220513764.00000099 + -45220513977. Let d = k - v. Round d to seven dps. -0.000001 Let z = -80.9 + 388.5. Let d = z + -280. Round d to zero dps. 28 Let k = -50.7 - -40.1. Let z = k - -56.2. What is z rounded to 0 decimal places? 46 Let q = -156 + 156.0346. Let v = q - 0.0635. Round v to 3 dps. -0.029 Let c = 31.6 - 723.6. Let i = 704.32 + c. What is i rounded to 0 dps? 12 Let f be 11 + (1 + -3)*2. Suppose -f*w - 5301 = 3015. Round w to the nearest 100. -1200 Suppose 173 = 5*v + 1538. Let z = v - -253. What is z rounded to the nearest 10? -20 Suppose 8*p + 4*s - 3778142 = 6*p, 0 = -p + 5*s + 1889050. Let m(d) = -230313*d - 4. Let y be m(-3). Suppose 3*o = y + p. Round o to the nearest 100000. 900000 Let m = -17491 + 17490.985249. Round m to four dps. -0.0148 Let f = 76 - 78. Let v(y) = y**2 + y + 2. Let r be v(f). Suppose -r*g = -3*p + 8760003, -4*p + 2*p - 10949998 = 5*g. Round g to the nearest 100000. -2200000 Let j = 1 - 1.11. Let y = j - -29.11. Let i = y - 29.17. Round i to 2 dps. -0.17 Let u = 266697.999840347 + -266698. What is u rounded to six dps? -0.00016 Let v = -13225 + 13152.87. What is v rounded to zero decimal places? -72 Suppose 0 = 163*l + 272054354 + 26235646. What is l rounded to the nearest 10000? -1830000 Let w = 576.9 - 574. Let r = w - 2.9007336. What is r rounded to 5 dps? -0.00073 Let w = -0.01858 - -0.01866624. What is w rounded to 5 dps? 0.00009 Let v = 0.48967 + -0.647575. Let t = v - 38.803595. Let r = t - -39. What is r rounded to three dps? 0.039 Let c = 14.46 - 14.4620341. What is c rounded to 4 decimal places? -0.002 Let f = -16930971 - -10158971. Round f to the nearest 100000. -6800000 Let v = 14848.644 + -14896. Round v to the nearest ten. -50 Let w = -1.4696 + -323.9604. Let j = w + 328. What is j rounded to one dp? 2.6 Suppose 5*i = -z + 144149997, 2*i + i - 2*z = 86490006. Suppose -4*v = -v + i. What is v rounded to the nearest one million? -10000000 Let u = 4795410 - 4795409.921701984. Let w = 0.0783 - u. Round w to 7 decimal places. 0.000002 Let j = 4163 - 4162.3. Let m = 6.56 + -6. Let x = m + j. Round x to 1 dp. 1.3 Let n(p) = -5185*p**3 - 2*p + 1. Let u be 2/(-6) + (-52)/(-12) + -1. Let j be n(u). What is j rounded to the nearest 10000? -140000 Let q = 30.056 - 30.05597185. What is q rounded to seven dps? 0.0000282 Let m = 366 - 365.8579. Let l = 35.6179 + m. Let r = 40.9 - l. What is r rounded to 0 dps? 5 Let s(n) = -n**3 + 2*n**2 - n + 4. Let a be s(2). Suppose h - 11*g - 3390000 = -9*g, -a*h + 6780000 = -3*g. Round h to the nearest one hundred thousand. 3400000 Let t = 1.055 - 1.04727. Round t to three decimal places. 0.008 Let n = 472.91 + -475. Let q = -2.003 - n. Let j = -0.123 + q. What is j rounded to 1 decimal place? 0 Suppose -73*m - 771430000 = -18*m. What is m rounded to the nearest one hundred thousand? -14000000 Suppose -69*c + 2*x - 174 = -73*c, -2*c = -3*x - 67. Let p be 37 + 0 + 2 + -2. Suppose c*y = p*y + 388. Round y to the nearest ten. 100 Let q = -650.9549 - -651. Let h = 0.02 + q. Round h to three decimal places. 0.065 Let k = 34265.67 + -34565. Round k to 0 dps. -299 Let r = 467055.00005 + -467075. Let l = 24 + -44. Let y = r - l. Round y to five dps. 0.00005 Let k = -0.221 - 0.079. Let v = 0.2999185 + k. What is v rounded to six dps? -0.000082 Let m = -365413 + 365328.9905. Let u = m - -84. What is u rounded to 2 dps? -0.01 Let h = -303.737589283 + -265.262409983. Let k = h - -569. What is k rounded to 7 dps? 0.0000007 Let x = 2233.99994633 + -2234. What is x rounded to 5 decimal places? -0.00005 Suppose -5*d - 201*d + 1833400 = 0. Round d to the nearest 1000. 9000 Let g = 15.8 - 162.8. Let l = g - -146.9834. Round l to two dps. -0.02 Suppose 3*h - 2*x = 5, -3*x + 0 = 3*h - 30. Let d(t) = -77173*t**3 - 2*t**2 + 2*t - 10. Let q be d(h). Let l = 11453325 - q. Round l to the nearest one million. 21000000 Let d = 0.852 - 0.85202431. What is d rounded to five decimal places? -0.00002 Let u = 2.37046 + 89.63468. Let f = -92 + u. Round f to three dps. 0.005 Let j = 480094659.75459837 + -480094662. Let f = 0.05460537 - j. Let o = f - 2.3. What is o rounded to 6 dps? 0.000007 Suppose 102*a = 83*a + 16340000. Let r be 4/6*(2 + 4). Suppose t + a = 2*s, -3440000 = r*t - 2*s + 3*s. Round t to the nearest 100000. -900000 Suppose 2793 = d + 2*f + 874, 0 = 2*d - 5*f - 3847. Let w = -1008 + d. Round w to the nearest ten. 910 Let u = 848429.4 + -848436.6136709. Let v = 0.0146109 + u. Let o = 7.2 + v. Round o to four decimal places. 0.0009 Let h = 821.21 - 827.7599. What is h rounded to 0 decimal places? -7 Let r = 96607189649.99997881 + -96607188466. Let s = r - 1184. What is s rounded to six decimal places? -0.000021 Let c = 1892814.210004825703 + -0.210024825703. Let w = -1892787 + c. Let x = -27 + w. What is x rounded to 4 decimal places? 0 Let x = 392.3 - 45.3. Let b = -346.99999144 + x. What is b rounded to six dps? 0.000009 Let i = -12 + -16. Let b = -42228 - -42199.9608. Let j = b - i. Round j to 3 decimal places. -0.039 Let b(c) = 55853*c**3 + 17*c**2 - c + 35. Let t be b(-15). What is t rounded to the nearest one million? -189000000 Let n = 7 + -6.9. Let m = n - 0.06. Let k = m + 1.5. Round k to 1 decimal place. 1.5 Let n = 135210.0000164727 - 135210. Round n to 7 decimal places. 0.0000165 Let z = 6.563 + -1326.763. What is z rounded to the nearest ten? -1320 Let a = -47885.893 + 47953. Let o = a + -66.7. Round o to 2 dps. 0.41 Let h = 336 - 336.4532. Let g = h - -0.542. What is g rounded to three decimal places? 0.089 Let k(b) = -b**3 + 6*b**2 + 8*b - 9. Let z be k(7). Let d be 14 - -16789 - (-3)/2*z. What is d rounded to the nearest one thousand? 17000 Suppose -2*w = 8, 2*f - 52 = 3*w + 2*w. Let o be 16*(-8)/f + 275008. What is o rounded to the nearest ten thousand? 280000 Let j = -311 + 310
{ "pile_set_name": "DM Mathematics" }
*n**2 - 4*n - 8. Is 14 a factor of f(-2)? False Suppose 4*l = 2*l + 64. Suppose -l = 5*v - y, -v + 4*y - 4 = 3*y. Let m = 21 + v. Is 14 a factor of m? True Let z = -90 + 151. Is z a multiple of 13? False Let i(m) = m**3 + 12*m**2 - m - 17. Let t be i(-12). Is 23 a factor of 138/4*(t + 7)? True Let o(y) = 2*y**2 + 7*y + 6. Does 12 divide o(-6)? True Let w = 102 - 34. Is 17 a factor of w? True Let l be (-5 - (-1 - 2)) + 10. Let j = -6 + l. Is 5 a factor of ((-8)/j)/((-9)/18)? False Is (4 - 2)*33/2 a multiple of 11? True Let b(w) = -149*w**3 + 2*w**2 - w. Let u be b(1). Does 14 divide ((-2)/(-4))/((-2)/u)? False Suppose 0 = 8*b - 6*b - 118. Is b a multiple of 15? False Let k = -2 - -4. Let c = 15 + -13. Suppose 0*o + c*o - 24 = k*b, 17 = o + 4*b. Is 5 a factor of o? False Let j = 63 + 1. Let b = 95 - j. Does 9 divide b? False Let z be (1 - 1)/(3 + -1). Suppose z = 3*h - 14 + 2. Is h even? True Suppose 3*j = -0*j + 24. Let f = j + -5. Suppose f*g - 20 = -4*b - g, 3*b - 3*g = 33. Does 4 divide b? True Suppose -2*z = 5*a - 279, 120 = 2*a - z + 6*z. Suppose -2*x - 3*k = -24, 4*x - 68 = -0*k + 4*k. Suppose 4*j - a = -x. Is j a multiple of 6? False Suppose -2*o + 72 = -3*k, 2*o - 5*k = -o + 106. Is o a multiple of 14? True Let l(a) = -a**3 - 4*a**2 - 2. Let i be l(-2). Is (-6)/10*350/i a multiple of 7? True Let l = 3504 - 672. Suppose -3*v + v - l = 0. Is 17 a factor of (-4)/(-14) - v/42? True Let x be (-2)/(-7) - (-2)/(-7). Suppose x*k = -5*k. Is 17 a factor of k - -39 - (-2 + 1)? False Is 23 a factor of ((1 - -19) + 3)*3? True Is 8 a factor of (12 - -5) + (-1 - 0)? True Let q(r) = 18*r. Suppose o - 2 = -o. Let i be q(o). Does 11 divide 384/i + 4/6? True Suppose 180 = 12*b - 3*b. Is b a multiple of 3? False Let s be (-2 - -1)/((-3)/9). Let x = 23 + s. Is x a multiple of 13? True Let v(c) = -2*c + 11. Is 7 a factor of v(-5)? True Let k(l) = -10*l - l**2 + 43 + 3*l + 8*l. Is k(0) a multiple of 12? False Let z be (-24)/(-108) + 86/18. Suppose g - 10 = -w + 6, 4*g = -z*w + 66. Is 7 a factor of g? True Let d(i) = -4*i**2 + 3*i - 2. Let z be d(2). Is 10/1*z/(-8) a multiple of 5? True Suppose -y + 4*c - 15 = 25, -3*y - 65 = -c. Let r = -11 - y. Is r a multiple of 9? True Suppose -p + 9 + 1 = -o, 2*o = -p + 16. Let r = p - 0. Is r a multiple of 8? False Suppose 0 = 3*r - h + 3*h - 33, -2*r + 27 = 3*h. Is r a multiple of 2? False Let w(j) = -3 + 4*j**2 - 7*j + 2*j**2 - 7*j**2. Let o be w(-8). Is -2 - o - (-2 + 2) a multiple of 7? False Let w(i) = -36*i**3 + i + 1. Let k(m) = 2*m**3 + m**2 - m - 1. Let n be k(-1). Does 18 divide w(n)? True Let b be 0*-1*(2 - 1). Suppose -3*z - 2*j + 6*j - 10 = b, -5*j + 10 = -5*z. Is 4 a factor of 5 + 1 + 0 - z? True Let n be ((-6)/(-5))/((-3)/(-10)). Suppose 0 = 2*b - n + 12. Let f(p) = -p**2 - 4*p + 5. Is 2 a factor of f(b)? False Let d(h) be the first derivative of -3*h**2 - 7. Is d(-8) a multiple of 14? False Let a(z) = z + 19. Is 5 a factor of a(-9)? True Let y(z) = z**3 + z**2 + 2*z + 3. Does 15 divide y(3)? True Let n be -2 - (-3 + -1 + 0). Suppose -3*z - n*d + 13 + 4 = 0, 7 = -3*z + 4*d. Is z even? False Let f be (-4172)/(-2) - (4 - 3). Let a be ((-2)/6)/((-5)/f). Let r = a + -97. Is 18 a factor of r? False Suppose 2*j - 24 = j. Does 8 divide j? True Is (0 + -2)*(-285)/10 a multiple of 33? False Suppose -3*z - 5 = 49. Let k = -13 - z. Is k a multiple of 3? False Suppose 3*h + 2*l = 20, 0 = 2*h - h - 4*l - 30. Let i = -2 + h. Suppose t + 1 - i = 0. Is t a multiple of 6? False Let i(n) = 2*n + 15. Let y = -2 - -15. Is 13 a factor of i(y)? False Suppose -8*x + 111 = -7*x. Suppose -i = -4*g + x, 0*g - 2*g + 59 = 3*i. Does 14 divide g? True Let b(m) = -m**2 - 10*m + 3. Let x be -1 - -2 - 20/2. Does 6 divide b(x)? True Let w(f) = -f + 0*f + 2 - f**3 + 7. Let k = 6 - 6. Is 9 a factor of w(k)? True Does 33 divide 14567/63 + (1 - 11/9)? True Suppose -29 = -4*s + 27. Suppose -2*u = -4*j - 26, 0 = 2*j + u + 3*u - 12. Let x = j + s. Is x a multiple of 5? True Let i(u) = u**2 + 5*u - 9. Is i(7) a multiple of 15? True Suppose -3*k + l + 0*l + 289 = 0, 2*l + 98 = k. Does 32 divide k? True Let v be 4/(-14) - 32/(-14). Suppose 4*p + 2 = v*s, -p - 4 = -s - 1. Suppose 14 = -0*j + p*j. Does 7 divide j? True Let i be (1/(-2))/(1/(-8)). Let c be -1*2*(-5)/2. Suppose -2*z = i*q - 108, -c*q - z = -34 - 95. Does 11 divide q? False Let y be ((-2)/(-1))/(1*-2). Does 4 divide (-16)/4 + 17 + y? True Let h(j) = -j**3 + 9*j**2 - 9*j + 11. Let o be h(8). Let m = o - -2. Is m a multiple of 2? False Let p(i) = -i**3 + i**2 + 4. Let w be p(0). Let l(o) = o**2 - o + 3. Is l(w) a multiple of 12? False Let p(o) = -o**2 - 3*o - 6. Let a be p(-4). Is 6 a factor of 10/4*(-24)/a? True Suppose -4*v + 2*v - 4 = -2*w, 5*v + 3 = 4*w. Let z(h) = h**2 - 10*h + 6. Let a be z(w). Is 8 a factor of (85/a)/(2/(-6))? False Suppose -8 = 4*c - 0*c. Let w = 5 + c. Suppose 43 + 23 = w*q. Is 8 a factor of q? False Suppose 0 = o + 3*o - 8. Suppose -o*c + 3*c = 12. Is c a multiple of 12? True Is 19 a factor of (-2 + (-2)/(-4))*-38? True Let m(a) = a**3 + 5*a**2 + 4*a. Let h be m(-3). Let v = -6 + h. Is 13 a factor of (v - -1)*(15 - 2)? True Suppose 0 = 5*l + 25, 2*o + 3*l + 11 = -0*o. Suppose -1 - o = 3*a. Is 0 - 2/(-2) - a a multiple of 2? True Let f be (0/(-6))/(1 - -1). Let j = 5 - f. Let h(l) = 5*l - 4. Is 7 a factor of h(j)? True Let i(z) = z**3 + 3*z**2 - 3*z + 1. Suppose -2*j - 9 = -k - 5*j, 4*k - j - 10 = 0. Let m = k + -6. Is i(m) a multiple of 10? True Let x(v) = -v**2 + 8*v - 3. Let d be x(7). Suppose -2*g + 41 = -d*n + 1, 0 = -5*g - 2*n + 76. Does 16 divide g? True Let c be (0 + 1)*1/1. Let w = 5 - c. Suppose -3*b = w*j - 30, -4*b - 2*j = -0*b - 30. Is b a multiple of 3? True Suppose -m = 2*f + 2*f - 185, -5*m + 861 = 4*f. Does 36 divide m? False Suppose t = -22 + 1. Is (t*2)/(-2) + -3 a multiple of 14? False Suppose -6*l = -3*l - 117. Does 4 divide 2/(-13) - (-162)/l? True Let y(p) = -p**2 - 5*p + 5. Let m be y(-5). Suppose 3*f + 52 = m*f. Does 10 divide f? False Is 35 - -1 - (-34)/(-17) a multiple of 3? False Let y(w) = -8*w. Does 11 divide y(-11)? True Let p = 10 + 10. Is 6 a factor of p? False Let d(o) = o**2 + 7*o + 8. Let r be d(-6). Let t = r + 1. Suppose -4*q + 96 = 5*p, -2*p + 47 - t = 3*q. Is 6 a factor of p? False Let d = -5 - -8. Suppose -4*u + d + 1 = 0. Let i(w) = 21*w**3. Is 8 a factor of i(u)? False Let n(c) = 1. Let a(q) = -2. Let o(r) = 6*a(r) + 13*n(r). Let t(v) = 28*v + 6. Let j(d) = -6*o(d) + t(d). Is 14 a factor of j(1)? True Let i be 4*((-2)/(-2) - 0). Suppose 20 = 3*u - i. Is u a multiple of 8? True Let y(o) = -o**3 + o**2 - o + 1. Let q be y(1). Suppose q = 2*h - 3 - 3. Suppose h*p = 2*p + 9. Is 4 a factor of p? False Let f(z) = -11*z - 1 + 1. Let c be 36/(-54) - 7/3. Is 11 a factor of f(c)? True Suppose 0*v - 3*v - m = -126, -m = -5*v + 210. Is 21 a factor of v? True Suppose 4*h - 143 = 5*z, 61 + 17 = 2*h + 4*z. Does 10 divide h? False Let u(f) = 2 - 3*f**3 + f**2 + 2 - 5 + 2 + 2*f. Let j be u(-1). Suppose h - 8 = -j. Is 2 a factor of h? False Suppose 17 = -4*g + 201. Is g a multiple of 15? False Let n = 51 - 31. Does 5 divide n? True Let x(j) = -4*j**3 - j**2 + 3*j + 6. Is x(-3) a multiple of 6? True Suppose 2*o + 3*o = -3*a + 916, 3*a - 2*o = 944. Is 8 a factor of (a/(-60))/(2/(-10))? False Let w(a) = -4*a. Let d be w(-1). Suppose d*g = 8*g. Is 11 a factor of (g - -1) + 12 + -2? True Suppose -22 = 3*d + 4*x, -4*d - 6*x - 28 = -x. Let b be (d/3)/(2/18). Let v = b + 16. Does 8 divide v? False Let l be (-8)/(-14) - (-488)/28. Let c = l - -4. Does 11 divide c? True Suppose -2*b = 4*a - 262, -4*a - a + 3*b + 344 = 0. Is a a multiple of 17? False Let g = -17 + 13. Does 6 divide 9 + (g - (-1 - 0))? True Suppose 5*p - 25 = -5. Let h be 15/4 - (-1)/p. Suppose 5*y = -4*o + 89, y - 88 = -h*o - 3*y. Is o a multiple of 7? True Suppose -3 = -4*r + 17. Suppose 3 + 12 = r*y. Is y a multiple of 2? False Let g = 27 - 33. Let x be (-118)/8 + (-2)/8. Is 16 a factor of (g/5)/(x/400)? True Suppose g - 16 = -3*g + 2*h, h = 2. Suppose g*y + 3*m - 17 = 0, -4*m + 11 = 2*y - 7*m. Suppose y*k = 14 + 6. Is 5 a factor of k? True Let l = 240 - 112. Is 8 a factor of l? True Is 7 a factor of (5 - (-85)/(-10))*-12? True Suppose 30 = 2*w - 0*w. Is w a multiple of 15? Tr
{ "pile_set_name": "DM Mathematics" }
6 + -87 - (-18 + 4)? 3 Evaluate -25 + 43 - (2 + -2 + 3 + -9). 24 Evaluate 189 - 194 - (1 - 12). 6 What is the value of 11 + 30 + -25 + -22? -6 What is (-12 - -19) + -9 + 4 + -4 - -2? 0 Evaluate 21 + 1 + (16 - 23) + -29. -14 Evaluate -4 - -3 - ((8 - 22) + -8) - -6. 27 What is 153 - 164 - (1 - 23)? 11 Evaluate -9 + (0 - 2 - 7) + (8 - 12). -22 What is (-4 - 0 - -7) + (-1 - 4)? -2 What is the value of (-16 - (-6 + -5)) + 29 - 10? 14 Evaluate 34 + -2 + -16 - -1. 17 Evaluate -67 - (-59 - -18) - ((1 - -1) + -9). -19 44 - -6 - (-3 + 4) - 14 35 Evaluate 3 - ((-11 - -22) + (12 - 21 - -8)). -7 -2 - ((-4 - 6) + 2 + 5) 1 (3 - (7 + -4)) + 34 + -5 29 -19 - (37 + -31 - (13 + 1)) -11 -11 - (0 + -11) - 13 -13 3 + 0 - (9 + 3 + -3 - -13) -19 15 + (1 - 43) + 14 -13 What is (-27 - (-13 - 32)) + -30? -12 Calculate (8 - ((0 - -2) + -2)) + 8. 16 What is the value of 2 + (0 - -8) - (4 - 0 - -2)? 4 -213 + 204 + (-2 - 7) -18 What is the value of 3 + (68 - 40 - 55)? -24 Evaluate -5 - ((-13 - -5) + -1 + 5 + 1). -2 4 - ((2 - ((31 - 10) + -12)) + 47) -36 What is -32 - (-18 + -8 + 9)? -15 What is the value of (-1 - 1) + -15 + -3 + 27? 7 What is the value of 4 - (-1 + 1) - (-78 + 178 + -82)? -14 -1 + -5 + -7 + 18 - 17 -12 Calculate 0 - 0 - (1 + 2). -3 What is the value of 0 + 5 - ((-5 - -8 - 13) + 15)? 0 What is the value of 1 - (8 + 1) - (-12 + 14 + 2)? -12 Evaluate -17 - (-4 - (3 + 2)) - (11 - 3). -16 Calculate -14 - 3 - (-30 + 25). -12 What is the value of (-7 - -13 - -9) + 0 + -8? 7 What is the value of 13 + -4 + (-5 + 3 - -3)? 10 Calculate 1 - ((-7 - -9) + -19). 18 What is 13 - (3 - (-44 - -38 - (0 + 1)))? 3 10 + -3 - 11 - (-3 + -6 + 4) 1 Calculate (3 + 0 - (2 + 2)) + -19 + 25. 5 What is the value of 10 + 28 + (-5 - 27)? 6 What is the value of 13 - 1 - (9 + -6 + 23)? -14 Calculate (14 - 3) + -11 + 31 - 11. 20 What is -16 - 0 - (-1 + 14 + -19 + 4)? -14 Calculate (-7 - (-4 - -5)) + -5. -13 What is the value of (11 - 11) + 12 - 7? 5 (1 - 14) + (-18 - 8) -39 What is -15 + (-10 - 1) + 17? -9 Calculate (2 - -1) + -19 + 9. -7 Calculate -3 - (3 + -1 - (77 - 82)). -10 3 + 5 + (5 - (15 - 13)) 11 10 - (32 + -10 + -2) -10 What is -8 + 20 + -28 + 16? 0 -1 - (-5 - (11 + -6)) 9 What is (10 - 19) + 10 + -9 + 17 + 11? 20 What is the value of -17 + 21 - 5 - -6? 5 What is the value of -13 + 16 + 18 + 20? 41 What is 10 - ((-93 - -94) + 1 + 6)? 2 What is the value of 5 - (-1 + (-5 + 7 - -2) - 10)? 12 What is the value of (82 - 66) + (-6 - 36 - -2)? -24 -2 + (-6 - (9 + 2)) -19 What is 1 - (2 + 6 + -9 + 18 - 1)? -15 What is the value of (6 - 6) + 1 - ((0 - -8) + -3)? -4 1 + 1 + 2 - (-3 + 11 - 11) 7 (-19 - -23) + -7 + -1 -4 What is -9 - (8 + (10 - 18) + (0 - 6))? -3 What is the value of -22 - -17 - (8 + -1 - -7)? -19 What is the value of (-1 - 5 - -12) + (4 - 5) + -7? -2 What is -53 + 2 + (-25 - -50)? -26 What is the value of -15 - ((28 - 20) + -17)? -6 -12 + -16 - (14 - 19) -23 Evaluate 12 - ((-8 + -6 - -9) + 13) - -5. 9 Calculate 7 + -19 + 11 + -9. -10 What is 25 + (-10 - (7 - 18 - -3))? 23 Evaluate (24 + -22 - 5) + (17 - 1). 13 What is (21 - -14 - 21) + -30? -16 Calculate -6 + 3 + (-5 - (1 + -6)) + 15. 12 (1 - -1 - (158 - 161)) + 0 5 What is -3 + (-29 - (2 - 22))? -12 What is the value of 4 + (15 - 7 - (10 - 7)) + 1? 10 Calculate -3 + 1 + (10 - 3) + (1 - 3). 3 Calculate -21 + 16 - (8 - 27). 14 What is the value of -5 + (13 + -17 - -10) - 31? -30 What is the value of (-9 - -22 - (4 - -34)) + 11? -14 -2 + 1 + (0 - -1) - (3 + 23) -26 -2 + -1 + 7 + -7 + 39 + -29 7 Calculate 161 + -140 + (2 - 18). 5 Evaluate 10 - (6 + (0 - -27) + -9 - -7). -21 Evaluate -1 - -3 - -16 - (-14 + (30 - 14)). 16 Evaluate (0 - 6) + -5 + 10 - (1 + 10). -12 Calculate 7 - (4 + -19 + 21). 1 -4 + -4 + 23 + -6 9 What is (6 - ((5 - 6) + (2 - -5))) + -2? -2 (0 - 6) + -113 + 121 + 4 + 26 32 (1 + 12 - (-11 - -19)) + -3 - -5 7 What is (-23 - (-6 - -22)) + 20? -19 6 + -8 - (-6 - (-6 - -1)) - 3 -4 Calculate 13 + (-57 - -91) + (-23 - -7). 31 (-60 - -52) + (12 - (1 - -1)) 2 Evaluate -10 + -133 + 119 + -3 + 21. -6 What is 17 - (12 + (-10 - -9) - 12)? 18 Evaluate (17 - 9) + (-4 - 14). -10 What is the value of 6 + -19 + (-14 - (-9 + 0))? -18 Evaluate -12 - ((-7 - -14) + -18). -1 Evaluate -4 + 16 + -12 + -2. -2 Evaluate -1 + 9 + (10 - 4). 14 18 + (4 - -8 - 20) 10 Calculate 90 + -86 + -6 + 3 + 4. 5 What is (-27 - -19) + (2 - -12) - (4 - 4)? 6 What is the value of (0 - -1) + -51 + 51? 1 86 + -102 + 3 + (5 - 3) -11 What is (10 - (-3 - 2)) + (-3 - (-6 + 3))? 15 Evaluate -2 + -1 + (-108 + 106 - (0 + 5)). -10 What is the value of -5 - -6 - (-4 - (3 + -2))? 6 Evaluate -51 - -42 - (1 + 7) - (0 - -5). -22 What is the value of 6 - (7 + -18 + 12)? 5 What is the value of (-4 - (1 + -7) - (2 - 0)) + 15? 15 What is the value of -2 + (-11 - -4) - (0 + -3)? -6 What is the value of 20 - (8 + 19 + -8 + -4 + -11)? 16 11 + -3 + -8 - (5 + 1 - -1) -7 Evaluate (0 - 6) + -11 + -26 + 39. -4 What is the value of 6 - (16 + (13 - (30 + -12)))? -5 What is the value of -2 + 1 + (22 + -17 - (2 - -6))? -4 What is 12 - (0 + (8 - 0))? 4 Evaluate 43 - (20 - -10) - (-2 - -12). 3 (26 - 11) + (25 - 22) 18 Calculate (-27 + 8 - -17) + (31 - 15). 14 (-3 - 4) + (16 - (-2 + 8)) 3 What is the value of 6 + (25 + -22 - 28)? -19 What is the value of 16 - (1 + 12) - (2 + 7)? -6 Evaluate -5 + 1 + 8 + -13 + 8. -1 What is the value of -2 + -1 - -6 - (9 - (14 + -1))? 7 Calculate 3 + 7 + -2 - (103 - 87). -8 -4 - -1 - ((-37 - -83) + -39) -10 5 + (-6 - (9 + (0 - 7))) - 11 -14 What is the value of 6 + -46 + (67 - 4)? 23 Calculate 1 - 13 - -17 - 12. -7 Evaluate -1 - (4 - 10 - -6). -1 Evaluate (0 - -18) + -90 + 35 + 25. -12 What is (-35 - -16) + 26 - (3 + -22)? 26 Calculate -24 + -1 + 0 - (29 + -17 + -6). -31 What is the value of 4 + (-7 - 0 - (2 - 2))? -3 What is the value of (-21 - (11 - (14 + -3 - -10))) + 13? 2 Calculate -4 + (-21 - -34) + 2. 11 What is the value of -25 - ((-13 - -44) + -60)? 4 What is the value of (363 - 366) + -1 + 12? 8 What is (-6 - -1) + (8 - 1) + (13 - 28)? -13 What is 2 - (20 + (-23 - 3))? 8 What is the value of 15 - 0 - (58 + -43 + 7)? -7 Calculate (-69 - -22) + 55 + -33. -25 What is the value of -2 + 0 + (9 - (29 + -16) - 1)? -7 What is the value of -26 - (-23 + -27 + 40)? -16 (1 - 7) + 33 + -20 + (-1 - -3) 9 Calculate (6 - 25) + 2 + (-2 - -8 - 3). -14 Evaluate -1 + -7 + -4 + (4 - -16). 8 Evaluate 5 + -1 + (3 - 5) - (233 + -209). -22 6 + (1 - (18 - 6 - 9)) 4 What is -9 - (-19 + -2) - 11 - (0 + 5)? -4 9 + -7 + -17 - (-32 - 16) 33 Calculate 75 - 102 - (2 + 3 + -2 + -3). -27 What is 4 + 0 - -1 - 12 - (-7 - -5)? -5 What is the value of (2 - (-29 - (16 + -9))) + -15? 23 What is (10 + -4 - 17) + (-4 - -1) + 12? -2 What is (64 - 22 - (-1 - -17)) + (-1 - 5)? 20 Calculate 25 + 19 + -32 - 1. 11 -1 + 17 + (-18 - -19) 17 Evaluate 1 + -1 + (1 - -1) + (5 - 8). -1 -13 + 2 + (-43 - -60) + -10 -4 What is the value of -1 + (-6 - -7 - (3 - 1) - 10)? -12 What is -2 - -9 - (151 - 122)? -22 Evaluate (-7 - ((5 - 5) + -7)) + -18 + 0. -18 Calculate -3 + -1 - 4 - (10 - (2 + 1)). -15 What is the value of -15 + (26 + -9 - 4)? -2 What is the value of 3 + 0 + -4 - (0 + -20 + 11)? 8 -23 + (34 - 14) - -16 13 2 + 22 + 4 + -5 - (50 + -48) 21 Evaluate 18 + (-22 - -10) - 9. -3 11 + -2 + (-680 - -676) 5 What is the value of (0 - -1) + (-3 - (8 - 15)) - 16? -11 -13 + 0 - (149 + -162) 0 What is 4 - (0 - -7) - (13 + -6 + -1)? -9 17 - (-10 - (-8 - -6)) 25 Evaluate -377 - -371 - (0 + -12). 6 (6 + 0 - (-15 - (8 + -33))) + -3 -7 Evaluate -12 + -15 + (-16 - -14) + 1. -28 What is the value of 5 - (-3 + -1 + -23 + 29)? 3 What is the value of (1 - (7 - 5)) + (-14 + 1 - 0)? -14 (-10 - -2) + (0 - ((18 - 11) + -2)) -13 What is (-37 + 45 - 12) + -17? -21 What is the value of 11 + (-2 + 0 - (56 - 36))? -11 Calculate -5 + (-3 + 13 - 13). -8 (571 - 565) + (-2 - -26) 30 Evaluate 7 - (21 + -13 - (1 + 1 - 10)). -9 What is 8 + -18 - (-12 - -18)? -16 Calculate 5 + 29 + -50 + 30. 14 Evaluate 27 + -45 + (8 - 7) + 7. -10 Calculate 2 + (1 - -6) + -7 + -22. -20 Evaluate -2 + (-6 - -8 - -7) + -3 + -13. -9 What is the value of 27 + -1 - (16 + -19) - (-74 - -74)? 29 2 - -6 - (3 + 15 - 11) 1 15 + (7 - (7 + -4 + 15)) 4 What is 0 + (1 - 2 - 3) - 4? -8 What is 16 + -29 - (4 - 27)? 10 14 - (-23 + 26 + (-7 - -8)) 10 -78 + 52 - (-2 - 2
{ "pile_set_name": "DM Mathematics" }
t(-10). -18 Let f(z) = 19*z - 38. Give f(-4). -114 Let c(u) = -u**3 + 23*u**2 + 25*u - 29. Give c(24). -5 Let r(g) = -g**3 - 7*g**2 - 3*g - 2. Give r(-5). -37 Let f(y) = y**2 + y. Calculate f(-3). 6 Let g(b) = b - 24. Give g(6). -18 Let y(b) = 74*b - 370. Determine y(5). 0 Let p(g) = -17*g - 205. What is p(-12)? -1 Let x(g) = 3*g**3 - g**2 - 2*g + 2. Determine x(-2). -22 Let m(n) = n + 1. Give m(2). 3 Let i(y) = -y**3 + 21*y**2 - 39*y + 22. Calculate i(19). 3 Let z(x) = -x**3 - 9*x**2 - 7. What is z(-9)? -7 Let h(y) = -y**3 - 9*y**2 - 14*y + 8. Give h(-7). 8 Let i(q) = 40*q**3 + q + 1. Give i(-1). -40 Let c(l) = l**2 - 2*l - 2. Calculate c(4). 6 Let u(s) = 2*s**2 + 13*s - 10. What is u(-7)? -3 Let i(r) = -r**3 + 3*r**2 - 4*r + 3. Calculate i(4). -29 Let o(d) = -d**3 - 4*d**2 + 5*d + 1. Determine o(-5). 1 Let t(h) = 6*h - 1. Give t(8). 47 Let g(b) = b**2 + 3*b + 2. Give g(-3). 2 Let q(u) = u**3 - 17*u**2 - 3*u + 50. What is q(17)? -1 Let b(z) = z**2 - 14*z + 12. Give b(12). -12 Let a(j) = j**2 + 7*j - 5. Calculate a(0). -5 Let p(c) = -3*c**2 - 3*c + 26. Calculate p(-6). -64 Let p(m) = m**2 + 1. Calculate p(4). 17 Let c(i) = -11*i**3 - i**2 + i + 1. Give c(-1). 10 Let x(y) = -11*y + 26. Determine x(9). -73 Let g(w) = w**2 - 2*w - 55. Determine g(-7). 8 Let o(u) = -u**2 + 16*u - 27. What is o(14)? 1 Let z(d) = -5*d - 3. Determine z(-6). 27 Let j(b) = b**3 - 7*b**2 + 5*b + 8. Give j(6). 2 Let j(h) = -h**3 - 4*h**2 - 4*h - 1. What is j(-3)? 2 Let r(y) = -14*y - 33. Determine r(-2). -5 Let r(n) = -n**3 + 9*n**2 - 2*n + 22. Determine r(9). 4 Let f(u) = 4*u - 122. Give f(28). -10 Let w(m) = 16*m + 3. What is w(5)? 83 Let r(t) = 37*t + 519. What is r(-14)? 1 Let u(k) = 8*k - 50. Determine u(6). -2 Let i(g) = -g**3 + 21*g**2 - 109*g - 11. Determine i(10). -1 Let i(m) = m**3 - 9*m**2 + 10*m + 16. Determine i(8). 32 Let f(d) = d**3 - 9*d**2 + 10*d - 4. Determine f(8). 12 Let x(r) = 2*r**2 - 2*r. Calculate x(4). 24 Let y(q) = -q**2 - 13*q + 10. What is y(-13)? 10 Let q(z) = -2*z - 5. Give q(11). -27 Let c(m) = m**3 + 4*m**2 + 3*m - 7. Calculate c(-3). -7 Let y(i) = 48*i - 2. Calculate y(1). 46 Let v(o) = o**2 + 8*o + 8. Give v(-8). 8 Let c(r) = r**2 - 7*r + 8. Calculate c(6). 2 Let t(z) = -z + 4. Calculate t(0). 4 Let b(o) = -5*o - 2. Determine b(-2). 8 Let j(k) = k**3 + 6*k**2 - 11. What is j(-8)? -139 Let j(m) = 4*m - 63. Determine j(19). 13 Let s(f) = -f**3 + 25*f**2 - 22*f - 56. What is s(24)? -8 Let r(k) = k - 16. Calculate r(9). -7 Let m(b) = -3*b + 10. Give m(9). -17 Let h(g) = 41*g + 7. Give h(3). 130 Let o(s) = -s**3 + 16*s**2 - 3*s + 29. What is o(16)? -19 Let o(x) = -x - 16. Calculate o(-13). -3 Let l(i) = i**3 + 11*i**2 - 26*i - 26. Give l(-13). -26 Let y(w) = -w - 4. What is y(-13)? 9 Let i(w) = -w**2 - 2*w + 7. What is i(0)? 7 Let l(j) = -4*j**2 + 5*j + 6. What is l(-2)? -20 Let a(d) = d**3 - 10*d**2 + 4*d + 13. Determine a(9). -32 Let p(t) = t**3 - 14*t**2 + 18*t - 3. Calculate p(13). 62 Let t(k) = 14*k + 152. What is t(-10)? 12 Let j(o) = 2*o**2 - 7*o - 4. What is j(6)? 26 Let x(q) = q**3 - 11*q**2 - 4*q + 9. Determine x(5). -161 Let y(m) = -m**2 + 13*m + 6. What is y(-8)? -162 Let d(m) = 5*m**3 + 2*m**2 + 3*m + 1. Give d(-2). -37 Let u(s) = 152*s - 450. What is u(3)? 6 Let j(c) = c**3 - 13*c**2 - 3*c + 18. What is j(13)? -21 Let g(q) = -q**3 + 10*q**2 - 29*q + 4. Determine g(5). -16 Let a(f) = 4*f**2 - 42*f + 12. Determine a(10). -8 Let t(h) = -h**2 + 14*h - 7. Give t(13). 6 Let r(j) = -j**2 + 11*j + 7. Determine r(8). 31 Let v(q) = q**2 + 3*q - 58. Determine v(-9). -4 Let o(c) = -c**3 + 8*c**2 - 6*c - 3. Give o(7). 4 Let b(k) = k**2 - 20*k + 32. Determine b(19). 13 Let s(m) = m**3 + m**2 - m - 1. Give s(2). 9 Let j(b) = -2*b**3 + 3*b**2 - 7*b + 5. Give j(2). -13 Let y(o) = 4*o + 3. Give y(-7). -25 Let w(i) = -2*i**2 - 14*i - 7. Give w(-10). -67 Let l(m) = -68*m - 480. Calculate l(-7). -4 Let h(v) = -v**3 + 5*v**2 - 3. Calculate h(4). 13 Let b(n) = -3*n**2 + 6. Give b(3). -21 Let h(w) = -w**2 + 10*w - 3. Give h(6). 21 Let c(x) = -x**2 + 8*x + 11. Calculate c(8). 11 Let x(s) = -58*s - 2. Determine x(-1). 56 Let y(n) = 9*n - 3. Determine y(4). 33 Let n(g) = -g**3 - 2*g**2 + 13*g + 2. Give n(-5). 12 Let z(h) = h**2 + h - 34. What is z(6)? 8 Let u(j) = j**3 + 15*j**2 + 8*j - 36. What is u(-14)? 48 Let a(z) = z**3 + 9*z**2 - 8*z + 5. What is a(-10)? -15 Let k(b) = -24*b - 330. Calculate k(-14). 6 Let i(o) = 5*o + 3. What is i(4)? 23 Let t(z) = z**2 + 12*z + 31. Calculate t(-8). -1 Let v(o) = o**3 - 8*o**2 + 2*o + 4. What is v(7)? -31 Let k(t) = 9*t. Determine k(-4). -36 Let j(r) = -r**3 + 23*r**2 + 50*r - 29. What is j(25)? -29 Let p(n) = 8*n - 46. Give p(22). 130 Let b(m) = 8*m**2 + 10*m + 3. Calculate b(-3). 45 Let m(o) = -o**3 + 12*o**2 - 2*o - 1. What is m(12)? -25 Let b(j) = -j**2 - 10*j - 16. What is b(-7)? 5 Let n(s) = s**3 - 6*s**2 + 3. Determine n(6). 3 Let s(j) = j**3 + 16*j**2 - 16*j + 9. Give s(-17). -8 Let n(t) = -10*t**2 + t + 5. Give n(-3). -88 Let i(j) = -j**2 + 7*j - 12. What is i(6)? -6 Let x(w) = -w**2 + 8*w + 15. Calculate x(10). -5 Let u(f) = 2*f**2 - 10*f + 9. Give u(6). 21 Let n(r) = -r**2 + 8*r - 8. What is n(8)? -8 Let j(f) = 9*f**2 - 4*f + 2. What is j(1)? 7 Let y(w) = -w - 16. Determine y(15). -31 Let d(c) = c**3 - 10*c**2 + 12*c + 7. What is d(9)? 34 Let k(h) = -3*h + 6. Give k(-3). 15 Let a(w) = 72*w - 364. Give a(5). -4 Let f(c) = c**3 + 11*c**2 - 5*c + 88. Calculate f(-12). 4 Let v(u) = -5*u + 41. Calculate v(5). 16 Let s(a) = 2*a**2 - 2*a - 2. Determine s(6). 58 Let i(b) = b**3 + b**2 + b - 26. Determine i(0). -26 Let g(v) = -5*v + 98. Calculate g(19). 3 Let x(h) = -h**3 - 11*h**2 - 5*h - 16. Determine x(-11). 39 Let d(c) = c**3 + 8*c**2 + 7*c - 6. What is d(-7)? -6 Let w(b) = b**3 + 3*b**2 - 7*b + 11. What is w(-5)? -4 Let k(f) = -f**3 + 5*f + 12. Determine k(-2). 10 Let n(l) = -l**3 + 10*l**2 - 6*l + 18. Determine n(9). 45 Let g(k) = k**3 - 4*k**2 - 5*k + 16. Give g(5). 16 Let z(t) = t**2 - 14*t - 99. Calculate z(19). -4 Let d(x) = -6*x + 7. Calculate d(4). -17 Let c(j) = 47*j**3 + j**2 - 2*j. Give c(1). 46 Let a(d) = 4*d - 6. What is a(3)? 6 Let a(o) = -3*o**3 - 5*o**2 + 2*o - 20. Calculate a(-4). 84 Let f(v) = 9*v - 22. Calculate f(6). 32 Let m(b) = b**3 + 13*b**2 + 13*b + 8. What is m(-12)? -4 Let q(y) = -y**3 - 10*y**2 - y - 4. Calculate q(-10). 6 Let a(z) = -z**2 - 5*z + 16. Give a(-8). -8 Let t(y) = y**2 - 14*y + 46. Determine t(10). 6 Let c(q) = 7*q - 9. Calculate c(3). 12 Let v(m) = 4*m**3 + m**2 - 2. Determine v(-2). -30 Let z(o) = 14*o + 126. Determine z(-9). 0 Let l(n) = 15*n**2 + 10*n + 4. Calculate l(-2). 44 Let z(j) = 2*j**3 - 8*j**2 - 28*j + 107. What is z(4)? -5 Let t(j) = 2*j**3 - 13*j**2 - 7*j - 1. What is t(7)? -1 Let m(s) = -15*s - 94. Give m(-6). -4 Let q(p) = -p**3 - 13*p**2 - 25*p - 48. Calculate q(-11). -15 Let x(c) = c**2 - 28*c + 4. What is x(28)? 4 Let n(s) = 3*s**2 + 9*s - 38. Calculate n(4). 46 Let j(o) = -o + 13. Calculate j(20). -7 Let t(v) = v + 21. Calculate t(-10). 11 Let b(p) = -p**2 - 3*p - 2. Give b(-5). -12 Let m(l) = -l**3 - 2*l**2 - l - 4. What is m(-3)? 8 Let k(u) = -33*u + 158. Calculate k(8). -106 Let g(x) = 4*x - 18. Determine g(9). 18 Let q(k) = -k**3 - 7*k**2 - 3*k + 9. Calculate q(-6). -9 Let v(w) = w + 46. Give v(-30). 16 Let y(p) = -2*p**2 + 4. Give y(-2). -4 Let v(x) = 9*x - 533. What is v(59)? -2 Let f(i) = 5*i - 3. Determine f(-1). -8 Let y(v) = 4*v**2 + 2*v - 2. Calculate y(2). 18 Let l(f) = -f**3 - 2*f**2 + 2*f + 1. Determine l(-4). 25 Let h(x) = x**2 + 15*x + 18. Determine h(-13). -8 Let w(a) = a**3 + 11*a**2 - 12*a + 5. What is w(-12)? 5 Let l(j) = j**2 + 4*j + 3. What is l(-4)? 3 Let a(p) = p**3 + 6*p**2 + 8*p + 10. Calculate a(-5). -5 Let k(p) = -p**2 - 2*p - 8. Give k(-2). -8 Let j(n) = n - 16. Determine j(0). -16 Let i(m) = m - 3. Calculate i(-3). -6 Let w(x) = x + 5. Give w(11). 16 Let d(g) = -g**2 - 2*g + 2. Give d(-8). -46 Let t(m) = m**3 - 2*m**2 - 8*m + 3. Determine t(5). 38 Let t(k) = -k**2 + 16*k - 100. Calculate t(11). -45 Let y(u) = 2*u**3 - 6*u**2 - 15*u + 11. Calculate y(5). 36 Let x(r) = r**2 - 11*r - 70. Give x(16). 10 Let r(i) = -i**2 + 9*i - 34. What is r(9)? -34 Let s(d) = 5*d + 111. Calculate s(-23). -4 Let h(j) = j + 16. Determi
{ "pile_set_name": "DM Mathematics" }
8*w - 4 = 20*w for w. -2 Solve 0 = -2361*b + 2381*b - 120 for b. 6 Solve 6*t + t + 28 = 0 for t. -4 Solve -52*q + 48*q = 8 for q. -2 Solve -2*l = -7*l + 15 for l. 3 Solve -3*j + 5*j - 4 = 0 for j. 2 Solve -280*q + 264*q = 64 for q. -4 Solve -4*t + 3*t = 4*t for t. 0 Solve 0 = -12*s - 41 + 41 for s. 0 Solve 15*q - 8*q = -7 for q. -1 Solve -10 = -16*f + 70 for f. 5 Solve 8*i - 108 = -92 for i. 2 Solve -28*x + 286 = 90 for x. 7 Solve 0 = 43*d + 77 + 52 for d. -3 Solve 1226 = -k + 1221 for k. -5 Solve 454 = 26*v + 714 for v. -10 Solve -1004 + 968 = 6*c for c. -6 Solve 0 = -9*l + 9 + 18 for l. 3 Solve 20*k + 84 = -8*k for k. -3 Solve 12 = -81*u + 84*u for u. 4 Solve 367*k - 108 = 385*k for k. -6 Solve 0 = -38*z + 37 + 77 for z. 3 Solve 0 = 3*k - 12*k + 54 for k. 6 Solve -10*p = 8*p - 5*p for p. 0 Solve 76*o - 106*o = 60 for o. -2 Solve 52 = -5*j + 87 for j. 7 Solve c = 79 - 80 for c. -1 Solve -4 = 213*u - 215*u for u. 2 Solve -776 = 12*m - 728 for m. -4 Solve 0 = 22*y + 8*y - 0*y for y. 0 Solve 4 - 12 = -2*q for q. 4 Solve 2*n - 7 = -3 for n. 2 Solve -5*r - 50 + 40 = 0 for r. -2 Solve 36*f - 75 - 69 = 0 for f. 4 Solve 16 = 121*k - 117*k for k. 4 Solve -20*w + 33*w + 91 = 0 for w. -7 Solve -4 = 29*p + 83 for p. -3 Solve 2*q + 10 = 7*q for q. 2 Solve 33*n - 26*n = 35 for n. 5 Solve 65 + 11 = -38*m for m. -2 Solve -297*x + 298*x = -2 for x. -2 Solve 170 = w + 171 for w. -1 Solve 13*q = 4*q for q. 0 Solve 4*o = 5*o for o. 0 Solve 83*y - 76*y = 35 for y. 5 Solve 0*y = -10*y - 40 for y. -4 Solve 30*a + 372 = 162 for a. -7 Solve 0 = -17*o + 11*o for o. 0 Solve 11*b - 14 + 25 = 0 for b. -1 Solve -35*g + 155 = 435 for g. -8 Solve 237*b - 30 = 227*b for b. 3 Solve 163*g + 981 = -160 for g. -7 Solve -72*r = -63*r + 72 for r. -8 Solve 10*b - 26*b = -12*b for b. 0 Solve 13*z - 111 + 150 = 0 for z. -3 Solve -14*p + 1 = -13*p for p. 1 Solve -106*s = -96*s for s. 0 Solve 127 + 283 = 41*y for y. 10 Solve c + 117 = 114 for c. -3 Solve 0 = 4*w + 30 - 42 for w. 3 Solve -6*u - 39 = -19*u for u. 3 Solve 20*r = -37 - 3 for r. -2 Solve -16*k - 35 = -9*k for k. -5 Solve -8*y - 156 = -84 for y. -9 Solve -8*g = 24 + 16 for g. -5 Solve 0 = 16*s - 6*s - 20 for s. 2 Solve -266 = 65*q - 71 for q. -3 Solve 0 = -5*c + 40 - 25 for c. 3 Solve -22*v + 45 = -7*v for v. 3 Solve 0 = 5*d - 1245 + 1205 for d. 8 Solve -28*y - 10 = 18 for y. -1 Solve -c + 5*c = -12 for c. -3 Solve 59*u = 57*u + 6 for u. 3 Solve 0 = 5*g - 0*g - 10 for g. 2 Solve 5*s + 7 = -13 for s. -4 Solve -41*y - 19 = -22*y for y. -1 Solve 7 = -5*l + 27 for l. 4 Solve 15*l = 18*l - 3 for l. 1 Solve 100*m - 51 = 117*m for m. -3 Solve 8*m = -64 + 32 for m. -4 Solve 21 = -14*d - 7 for d. -2 Solve -142 = -15*p - 52 for p. 6 Solve y - 18 = -14 for y. 4 Solve 295*f = 299*f + 12 for f. -3 Solve -r = -0 - 4 for r. 4 Solve 0 = -46*m + 49*m for m. 0 Solve 270 = -3*q + 291 for q. 7 Solve -15*n + 8*n = 0 for n. 0 Solve 2 = -3*f + 14 for f. 4 Solve 0 = -12*b - 16*b - 84 for b. -3 Solve -4*q + 25 - 13 = 0 for q. 3 Solve 0 = 49*g - 24*g + 25 for g. -1 Solve 0 = -4*l + 12 + 4 for l. 4 Solve 62 = -10*a - 8 for a. -7 Solve 25*x = 24 + 151 for x. 7 Solve -10*s - 6 = -12*s for s. 3 Solve 0 = -4*x - 2 - 18 for x. -5 Solve -286 = 8*s - 254 for s. -4 Solve 14 - 5 = 3*g for g. 3 Solve 11*s = -17 - 16 for s. -3 Solve 368 = 31*b + 15*b for b. 8 Solve -206*f + 199*f + 77 = 0 for f. 11 Solve 5*v + 6 - 26 = 0 for v. 4 Solve 2 = 5*y - 3 for y. 1 Solve 46*b - 23*b + 92 = 0 for b. -4 Solve -414 = -6*f - 420 for f. -1 Solve -6*j + 7*j = 2 for j. 2 Solve -2*q + 40 = 50 for q. -5 Solve 3*l - 2 = 7 for l. 3 Solve -34*f + 24 = -46*f for f. -2 Solve 0*t + 90 = 15*t for t. 6 Solve 29*w = -20*w + 98 for w. 2 Solve 0 = -0*x - x + 3 for x. 3 Solve 0 = -3*c - 98 + 101 for c. 1 Solve 100*j - 99*j + 6 = 0 for j. -6 Solve 9 + 56 = -13*u for u. -5 Solve 2*b = -17 + 23 for b. 3 Solve -3*g + 32 = 26 for g. 2 Solve -72 = -301*q + 293*q for q. 9 Solve -a + 6*a + 15 = 0 for a. -3 Solve 232 = 124*d - 140 for d. 3 Solve 2 = -5*o - 3 for o. -1 Solve -8*w + 1 = 9 for w. -1 Solve 216 = -172*n + 118*n for n. -4 Solve -1 = 12*i + 11 for i. -1 Solve -36*l = -32*l + 4 for l. -1 Solve 57*p = 63*p - 24 for p. 4 Solve 59*v = 34*v for v. 0 Solve -15*q + 88 = 28 for q. 4 Solve 10*d + 2704 = 2644 for d. -6 Solve -722*n + 720*n + 4 = 0 for n. 2 Solve 6 = 1631*y - 1629*y for y. 3 Solve 93*d + 28 = 100*d for d. 4 Solve 39*s = 122*s - 332 for s. 4 Solve 0 = 5*a - 15 + 10 for a. 1 Solve -205 + 69 = -68*d for d. 2 Solve 0 = 12*c - 14*c for c. 0 Solve 204*z - 5 = 205*z for z. -5 Solve 24*t = 11*t - 65 for t. -5 Solve -4*x - 32 = -16 for x. -4 Solve -1300*a = -1295*a - 10 for a. 2 Solve -8*h + 9 = -5*h for h. 3 Solve -1162 = -29*m - 930 for m. 8 Solve 0 = -14*n + n - 65 for n. -5 Solve 1897 - 1907 = 5*a for a. -2 Solve -5*m + 3 + 7 = 0 for m. 2 Solve 4 = -7*h - 3 for h. -1 Solve 0 = 7*y - 2*y - 0*y for y. 0 Solve 368 = 9*h + 323 for h. 5 Solve -12*m - 61 = -109 for m. 4 Solve 8 - 2 = -6*j for j. -1 Solve 47*o - 42*o = 0 for o. 0 Solve f + 9 = -2*f for f. -3 Solve -10 = -7*s + 5*s for s. 5 Solve -12*x + 59 = -1 for x. 5 Solve 0 = 34*i - 20*i + 112 for i. -8 Solve 57*u - 12*u + 315 = 0 for u. -7 Solve -h - 369 = -374 for h. 5 Solve -20*p + 102*p + 164 = 0 for p. -2 Solve -34*v + 292 - 20 = 0 for v. 8 Solve -122 = 4*x - 142 for x. 5 Solve 268*q - 260*q = -16 for q. -2 Solve 96 = 364*l - 376*l for l. -8 Solve 0 = -107*t + 103*t + 20 for t. 5 Solve 4 = 3*r + r for r. 1 Solve 85*d - 84*d = -3 for d. -3 Solve 413 = 47*y + 131 for y. 6 Solve 40 = -99*i + 79*i for i. -2 Solve 0 = -68*f + 66*f + 12 for f. 6 Solve 74*g = 17*g + 228 for g. 4 Solve -51*a + 75*a - 240 = 0 for a. 10 Solve 4*k + 20 = 8 for k. -3 Solve -22 = -3*z - 16 for z. 2 Solve 0 = 27*u + 78 + 3 for u. -3 Solve 0 = 22*q - 27*q - 30 for q. -6 Solve -3 = -5*t + 12 for t. 3 Solve -21*y + 80 = -37*y for y. -5 Solve 0 = -2*j - 0*j - 16 for j. -8 Solve 7*w + 1 = -20 for w. -3 Solve 0*o - 4*o + 20 = 0 for o. 5 Solve 13*m = -21*m - 5*m for m. 0 Solve 5*m = -1 + 21 for m. 4 Solve -3*r + 5 = 5 for r. 0 Solve 0 = -14*v - 6 - 8 for v. -1 Solve -10*b = -9*b + 3 for b. -3 Solve 804*a = 800*a + 16 for a. 4 Solve -d + 9 = -4*d for d. -3 Solve -65*b = -70*b - 10 for b. -2 Solve 30*q - 32 = 88 for q. 4 Solve -210*u + 215*u = 0 for u. 0 Solve -6*z = -z - 10 for z. 2 Solve -31*s - 12*s = -301 for s. 7 Solve -6*p = -14*p + 40 for p. 5 Solve 3 + 15 = -6*q for q. -3 Solve -34 = 6*g - 22 for g. -2 Solve 18 = 8*x + 10*x for x. 1 Solve 5*n - 10 - 15 = 0 for n. 5 Solve 0 = 7*z + 829 - 850 for z. 3 Solve -95 = -41*q + 22*q for q. 5 Solve 0 = -2*r - 1 - 7 for r. -4 Solve -4912*s + 4899*s - 91 = 0 for s. -7 Solve -39*u + 19*u = -40 for u. 2 Solve -18 - 4 = -11*d for d. 2 Solve 69*h - 75*h = -18 for h. 3 Solve 0 = -6*t - 0*t + 24 for t. 4 Solve 13*f + 15 = 10*f for f. -5 Solve -127*i = -122*i - 15 for i. 3 Solve 0 = 9*v - 101 + 74 for v. 3 Solve 85 = 28*x - 83 for x. 6 Solve -3418*m - 110 = -3429*m for m. 10 Solve 10*b - 48 + 18 = 0 for b. 3 Solve 7*u - u = 24 for u. 4 Solve -4*x - 5 = 3 for x. -2 Solve 157 - 212 = 11*x for x. -5 Solve 110 = 17*d + 25 for d. 5 Solve 49*g = 39*g + 110 for g. 11 Solve 16*u - 143 = -47 for u. 6 Solve -42*q + 34*q = 40 for q. -5 Solve -24 = 3*m + 3*m for m. -4 Solve -357*l - 84 = -343*l for l. -6 Solve 1018 - 37 = 109*d for d. 9 Solve 16 = 9*q + 43 for q. -3 Solve -8*c + 44 = 92 for c. -6 Solve -64*f = 156 + 420 for f. -9 Solve 0 = 590*u - 565*u - 250 for u. 10 Solve 6*n = -0*n - 6 for n. -1 Solve 6*k = 2*k - 3*k for k. 0 Solve -44*u + 51*u = 63 for u. 9 Solve 129*t + 30 = 119*t for t. -3 Solve -2*m + 16 = 2*m for m. 4 Solve 34*n = 40*n + 6 for n. -1 Solve 110 = 3*z + 95 for z. 5 Solve -121 + 113 = 2*f for f. -4 Solve -15 - 109 = 31*r for r. -4 Solve 30*m = 42*m + 48 for m. -4 Solve -15*d = 30 + 30 for d. -4 Solve 0 = 4*l - 9*l - 25 for l. -5 Solve 0 = -69*s + 62*s - 7 for s. -1 Solve -22*a + 3*a = 0 for a. 0 Solve -6*o - 289 = -337 for o. 8 Solve -58*f = -56*f + 6 for f. -3 Solve -176 = -31*o - 52 for o. 4 Solve -9*c + 57 = 12 for c. 5 Solve x = 87 - 78 for x. 9 Solve -50*a + 9 = -47*a for a. 3 Solve 7*g + 50 = -3*g for g. -5 Solve 6*p - 4 = 10*p for p. -1 Solve 599*u - 594*u + 30 = 0 for u. -6 Solve -25 - 5 = -6*u for u. 5 Solve 0 = -
{ "pile_set_name": "DM Mathematics" }
23 Four letters picked without replacement from biiiib. Give prob of picking 2 b and 2 i. 2/5 Three letters picked without replacement from {b: 7, m: 1}. What is prob of picking 2 b and 1 m? 3/8 What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 3, p: 1, d: 4, q: 1, b: 1, j: 5}? 1/35 Three letters picked without replacement from {l: 12, j: 3}. What is prob of picking 3 l? 44/91 Three letters picked without replacement from tzrttrtrttczrrtct. Give prob of picking 2 c and 1 z. 1/340 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from irnnrinirl. 1/5 What is prob of picking 1 l and 2 c when three letters picked without replacement from {l: 4, c: 6}? 1/2 Four letters picked without replacement from ncncnncnnncnncnnnnn. Give prob of picking 3 n and 1 c. 455/969 Two letters picked without replacement from {j: 7, b: 2, m: 11}. What is prob of picking 1 j and 1 b? 7/95 Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {g: 1, h: 1, o: 1, d: 1, u: 1}. 1/10 What is prob of picking 1 q and 1 l when two letters picked without replacement from alllqluu? 1/7 Calculate prob of picking 1 k and 2 g when three letters picked without replacement from {z: 2, g: 2, k: 1, f: 1}. 1/20 Calculate prob of picking 2 m when two letters picked without replacement from {m: 7}. 1 Three letters picked without replacement from ddddddxzyzydydhdrhd. What is prob of picking 1 h, 1 x, and 1 z? 4/969 Two letters picked without replacement from titwwrttt. Give prob of picking 1 w and 1 r. 1/18 Two letters picked without replacement from {r: 1, n: 2, s: 3, k: 6, h: 3}. What is prob of picking 1 h and 1 k? 6/35 Three letters picked without replacement from gugbcbcuucccc. What is prob of picking 1 u, 1 b, and 1 g? 6/143 Two letters picked without replacement from {a: 1, m: 1, g: 2, y: 13}. What is prob of picking 2 y? 39/68 Three letters picked without replacement from hkzbhkx. What is prob of picking 2 k and 1 h? 2/35 What is prob of picking 1 r and 2 p when three letters picked without replacement from zprp? 1/4 Calculate prob of picking 1 z, 1 n, and 1 g when three letters picked without replacement from {z: 3, g: 3, n: 1, b: 1, v: 2}. 3/40 What is prob of picking 3 c when three letters picked without replacement from cwcwcccc? 5/14 What is prob of picking 1 b and 1 u when two letters picked without replacement from xuhguxbuluxxx? 2/39 Calculate prob of picking 1 g and 3 f when four letters picked without replacement from {f: 5, w: 6, e: 1, c: 3, g: 2}. 1/119 What is prob of picking 2 j when two letters picked without replacement from nijnjjjii? 1/6 Calculate prob of picking 3 y and 1 d when four letters picked without replacement from {w: 11, y: 4, d: 1, c: 1}. 1/595 Four letters picked without replacement from {r: 7, h: 12}. What is prob of picking 2 h and 2 r? 231/646 Calculate prob of picking 1 l, 1 c, and 1 v when three letters picked without replacement from {n: 4, l: 2, v: 1, x: 4, e: 2, c: 6}. 4/323 Three letters picked without replacement from {g: 3, m: 3, c: 2}. What is prob of picking 1 c and 2 m? 3/28 Three letters picked without replacement from oopppppppoppoo. Give prob of picking 3 p. 3/13 Calculate prob of picking 1 c and 1 z when two letters picked without replacement from cczwwcwcwwwqzw. 8/91 Two letters picked without replacement from xlpwzzpuzwuz. Give prob of picking 1 w and 1 u. 2/33 Four letters picked without replacement from qqqsqvnqqynv. Give prob of picking 2 y, 1 s, and 1 v. 0 Two letters picked without replacement from aaaaaa. What is prob of picking 2 a? 1 Two letters picked without replacement from eegc. What is prob of picking 1 g and 1 c? 1/6 Four letters picked without replacement from {o: 7, u: 2}. What is prob of picking 2 o and 2 u? 1/6 What is prob of picking 1 b and 1 p when two letters picked without replacement from wpberub? 2/21 What is prob of picking 1 q and 2 g when three letters picked without replacement from {g: 7, q: 2}? 1/2 What is prob of picking 1 o and 2 l when three letters picked without replacement from {r: 1, l: 2, w: 1, o: 1, p: 1, a: 1}? 1/35 Four letters picked without replacement from cxvszjvz. Give prob of picking 1 c, 2 v, and 1 j. 1/70 Two letters picked without replacement from iiiw. Give prob of picking 2 i. 1/2 What is prob of picking 1 u and 2 i when three letters picked without replacement from ibiujibubu? 3/40 Three letters picked without replacement from {r: 2, s: 10, y: 2}. Give prob of picking 1 r and 2 y. 1/182 Three letters picked without replacement from {o: 3, d: 2, x: 1, e: 1, t: 1, a: 11}. What is prob of picking 1 d, 1 t, and 1 e? 2/969 Calculate prob of picking 4 a when four letters picked without replacement from {m: 1, a: 4, x: 3}. 1/70 Calculate prob of picking 1 j, 1 w, 1 f, and 1 r when four letters picked without replacement from jwfrj. 2/5 Two letters picked without replacement from fqq. Give prob of picking 2 q. 1/3 Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, g: 4, q: 6, y: 3}. 3/91 Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {n: 4, d: 5, l: 3}. 3/22 Four letters picked without replacement from zqvzvrz. Give prob of picking 1 r, 2 z, and 1 v. 6/35 Three letters picked without replacement from {c: 4, o: 7, u: 5}. Give prob of picking 1 o and 2 c. 3/40 Four letters picked without replacement from {h: 1, n: 1, e: 6, y: 1, d: 5, u: 2}. What is prob of picking 1 u, 2 d, and 1 h? 1/91 Four letters picked without replacement from hhiihhiihhhihhihihh. What is prob of picking 3 h and 1 i? 385/969 Four letters picked without replacement from {x: 1, f: 6, s: 3, m: 4}. What is prob of picking 2 m and 2 s? 18/1001 Two letters picked without replacement from {j: 2, y: 1}. Give prob of picking 1 y and 1 j. 2/3 Four letters picked without replacement from ucpuppppuxpuuch. Give prob of picking 1 c, 1 h, 1 u, and 1 p. 4/91 Calculate prob of picking 3 z when three letters picked without replacement from zdddzddddddzdddd. 1/560 Three letters picked without replacement from {u: 3, b: 2, x: 4, v: 1, k: 3, h: 6}. Give prob of picking 1 h and 2 x. 12/323 What is prob of picking 2 y and 2 c when four letters picked without replacement from {c: 12, y: 3}? 66/455 Three letters picked without replacement from {f: 4, x: 2, z: 5, t: 2, q: 1}. What is prob of picking 2 z and 1 f? 10/91 Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 5, o: 3, d: 1, q: 1}. 1/9 Calculate prob of picking 4 k when four letters picked without replacement from {k: 5, f: 8}. 1/143 Two letters picked without replacement from {l: 15, f: 5}. What is prob of picking 1 l and 1 f? 15/38 Calculate prob of picking 2 g and 2 n when four letters picked without replacement from {g: 3, n: 2}. 3/5 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {w: 10, j: 1, z: 4, n: 2}. 1/17 Three letters picked without replacement from nnyynqynqqy. Give prob of picking 1 q and 2 y. 6/55 Four letters picked without replacement from bvbbbbbppbpbpb. Give prob of picking 1 p, 1 v, and 2 b. 144/1001 What is prob of picking 2 d and 2 w when four letters picked without replacement from wdizddddiwd? 1/22 What is prob of picking 2 w and 1 m when three letters picked without replacement from wwwmwwwmwbwmbbmm? 1/4 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from nwwuj. 1/10 Calculate prob of picking 3 n when three letters picked without replacement from {n: 9}. 1 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {t: 4, n: 3, l: 5, g: 1}. 10/39 Two letters picked without replacement from rkdroxr. Give prob of picking 1 d and 1 k. 1/21 Four letters picked without replacement from bfblyybyxxyyfyqbyfyq. What is prob of picking 2 y, 1 f, and 1 x? 56/1615 What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 1, k: 1, c: 1, o: 1, m: 1}? 1/10 Four letters picked without replacement from {x: 1, f: 3, w: 5, i: 9}. What is prob of picking 2 f, 1 i, and 1 x? 3/340 Three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
25*a**2 + 13*a - 13. Give 6*m(t) + 13*n(t). 6*t**2 Let c(o) = -4*o**3 + 14*o**2 + 6*o + 6. Let p be 2517/30 + 2/20. Let n be 3*(-35)/p*(1 + 3). Let k(s) = 3*s**3 - 13*s**2 - 5*s - 5. Determine n*c(u) - 6*k(u). 2*u**3 + 8*u**2 Let t(g) = -6709*g - 6. Let w(j) = 33562*j + 33. Determine 11*t(l) + 2*w(l). -6675*l Let l(h) = -h**3 + 3*h**2 + h - 2. Let p(t) = -2972*t**3 + 21*t**2 + 7*t - 14. What is -7*l(c) + p(c)? -2965*c**3 Let d(u) = 71*u**2 - 15*u**2 - 55*u**2. Let l(o) = -10*o**2 + 6. Give -22*d(h) - 2*l(h). -2*h**2 - 12 Let w(d) = 19 + 5 + 10 + 24*d + 17*d. Let m be w(-1). Let c(q) = -q + 2. Let b(a) = -2*a + 3. Calculate m*c(p) + 3*b(p). p - 5 Let x(m) = 35*m**2 - 75*m - 3. Let s(i) = -35*i**2 + 98*i + 2. Let k(l) = 3*s(l) + 4*x(l). Let o(c) = -35*c**2 + 7*c + 7. Determine -7*k(g) - 6*o(g). -35*g**2 Let w(x) = x**2 + 4*x - 13. Let a(i) be the second derivative of i**3/6 - 2*i**2 + 1471*i. Calculate -7*a(d) + 2*w(d). 2*d**2 + d + 2 Let a(m) = m**2 - 4*m - 1. Let k(c) be the second derivative of -11/6*c**3 - 211*c + 0 - c**2 + 1/4*c**4. Determine 11*a(l) - 4*k(l). -l**2 - 3 Suppose 2*l - 4 = -0. Let z(r) be the second derivative of 7*r**3/2 + 9*r**2/2 + 8748*r. Let t(a) = -5*a - 2. Determine l*z(s) + 9*t(s). -3*s Let j(f) = 567 - 1705 + 581 - 3*f + 571. Let m(g) = 10*g - 43. Calculate 14*j(i) + 4*m(i). -2*i + 24 Let w(i) = 10*i + 9. Let b(t) = -17*t - 10. Let n(s) = -12*s - 7. Let h(p) = 5*b(p) - 7*n(p). Calculate 22*h(x) + 2*w(x). -2*x - 4 Let u be 0 + 3 + (1 - -3 - 0). Let s(h) = -20*h**3 - 6*h**2. Let c(w) = -19*w**3 - 7*w**2. Determine u*s(d) - 6*c(d). -26*d**3 Let k(n) = -2*n + 8. Let q be k(0). Let a(w) = 9*w + 3. Let m(f) = -3*f - 1. Let c be (31 - -11)/(-7) - -9. Calculate c*a(u) + q*m(u). 3*u + 1 Let a(k) = 15*k**2 + 9*k + 12. Let i be a(-2). Suppose 56*l = i*l + 10. Let f(r) = 3*r**3 + 2*r. Let j(o) = 2*o**3 + o + 2*o**3 + o. Calculate l*f(z) - 4*j(z). -z**3 + 2*z Let c(t) = -4087*t**2 - 21*t. Let w(x) = 2*x**2 - 3*x. Calculate -c(b) + 7*w(b). 4101*b**2 Let u(n) = -3640*n + 15. Let p(f) = 36399*f - 158. What is 2*p(x) + 21*u(x)? -3642*x - 1 Let z(w) = 1973*w - 10. Let c(r) = r**2 + 2*r + 5. Calculate 2*c(q) + z(q). 2*q**2 + 1977*q Let h(c) = c**2 - 948*c - 5. Let x(u) = u - 1. Give h(d) - 5*x(d). d**2 - 953*d Let n(c) = 5*c**2 + c + 4. Suppose -4 = -4*d - 4*g, d + g - 4 = -g. Let y be (-2)/8 + (-2145)/44. Let o = y + 58. Let i(j) = j**2 + 1. What is d*n(t) + o*i(t)? -t**2 - 2*t + 1 Let m(r) = 2545*r + 112. Let g(f) = 38173*f + 1652. Give 4*g(q) - 59*m(q). 2537*q Let g(i) = i**3 + i**2 - i. Suppose b = 18*f - 23*f - 4, 5*b = f - 20. Let n(l) = -9*l**3 - 4*l**2 + 5*l. Calculate b*g(j) - n(j). 5*j**3 - j Let a(g) = -g**3 + g**2 - g. Suppose 638 = -117*o - 25*o + 70. Let k(v) = -v**3 + 5*v**2 - 8*v + 1. Calculate o*a(h) + k(h). 3*h**3 + h**2 - 4*h + 1 Let m(x) = 7*x**3 - 5*x**2 - 6*x - 8. Let k(a) = -52*a**2 + 25*a**2 + 7*a - 10*a**3 - 4 + 2*a**3 + 13 + 33*a**2. Calculate -6*k(z) - 7*m(z). -z**3 - z**2 + 2 Let a(t) = t + 1. Let h be (-3)/(-6)*-2*-1. Let f(l) = 8*l + 9. Let x(m) = -m**2 - m + 126. Let d be x(-12). Give d*a(n) + h*f(n). 2*n + 3 Let c(r) = r**2 - r - 1. Let j(s) = 2*s + 5 + 1 + s - 2*s**2. Let z = -405193 - -405198. Give z*c(d) + j(d). 3*d**2 - 2*d + 1 Suppose 0 = -63*c + 48*c - 23*c + 152. Let m(s) = -s + 17. Let d(k) = -3*k + 51. Calculate c*d(v) - 11*m(v). -v + 17 Let l(v) = 14*v**2 + 55*v - 27. Let w(b) = 15*b**2 + 56*b - 18. Determine 2*l(t) - 3*w(t). -17*t**2 - 58*t Let a(i) = -19810*i - 83. Let k(f) = 5660*f + 23. What is 5*a(y) + 18*k(y)? 2830*y - 1 Let u(k) = -4*k + 1. Suppose -2*v - 2*v = 5*s - 30, v + 12 = 2*s. Let a(x) = 2*x + 6. Let y(f) = -3*f - 6. Let d(o) = a(o) + y(o). What is s*d(h) - u(h)? -2*h - 1 Let n(y) = 4*y**3 - 12*y**2 - 542*y - 4. Let j(a) = -9*a**3 + 30*a**2 + 1082*a + 10. Give -2*j(r) - 5*n(r). -2*r**3 + 546*r Let l(k) = 2*k - 1. Let d be 14/(-4)*240/(-84)*38/(-76). Let h(w) = -w. Give d*h(p) - 4*l(p). -3*p + 4 Let y(x) = -9*x**3 + 7*x**2 + 7*x - 1. Let c(p) = -37*p**3 + 31*p**2 + 29*p - 4. Determine -4*c(t) + 18*y(t). -14*t**3 + 2*t**2 + 10*t - 2 Let o(k) = -12*k + 3 - 3 - 5. Let u(s) = s**3 + 32*s**2 - 3*s + 17. Let m be u(0). Let x(f) = -35*f - 14. Calculate m*o(v) - 6*x(v). 6*v - 1 Let p(v) = -4*v + 3 + v + 1. Let u be 31/11 + 2 + (-60)/33. Let i(z) = u*z - 8*z + 5 + 10*z - 9*z. Give -4*i(s) + 5*p(s). s Let q be 1 + 2 + 10/(-2). Let p(y) be the third derivative of -y**6/60 + y**3/3 - 979*y**2 - y + 8. Let g(o) = -1. Give q*g(f) - p(f). 2*f**3 Let v(g) = g + 38. Let z(j) = 4*j + 200. Let a(t) = -5*v(t) + z(t). Let r(l) = -3*l + 30. Determine 11*a(h) - 4*r(h). h - 10 Let d(c) = 5*c + 2. Let w(b) = -4*b - 2. Let z = -392 + 393. Suppose -o + z = 0, -26*o = 5*y - 21*o + 10. Calculate y*d(m) - 4*w(m). m + 2 Let p(z) = z + 3. Let r(w) = 15*w + 40. Let v(y) = 3*y + 8. Let t(n) = -2*r(n) + 11*v(n). Let s be (21*(-18)/(-819))/((-5)/(-65)). Determine s*t(b) - 17*p(b). b - 3 Let b(f) = 53*f**2 - 51*f - 3. Let a(n) = 83*n**2 - 77*n - 5. Give 5*a(j) - 8*b(j). -9*j**2 + 23*j - 1 Let o(d) = -54*d + 7. Let u(a) = 244*a - 32. Give -22*o(z) - 5*u(z). -32*z + 6 Let i(w) = -25*w - 7. Suppose -5*b + 50 = -4*d, -4*b + 2*b - 5*d = 13. Suppose -44 = -10*z + b. Let k(m) = 12*m + 3. Calculate z*k(q) + 2*i(q). 10*q + 1 Let d(f) = -44*f. Let h be (-18)/(-261) - 286/(-58). Let z(a) = -h*a + a + a + 8*a. Give -6*d(v) - 52*z(v). 4*v Let t(z) = 717*z**3 - 3*z**2 - 30*z + 2. Let q(m) = -2152*m**3 + 8*m**2 + 80*m - 6. What is 3*q(c) + 8*t(c)? -720*c**3 - 2 Let v(s) be the second derivative of -1/3*s**3 + 1/10*s**5 + 2 - 20*s + 0*s**2 + 1/3*s**4. Let z(g) = 4*g**3 + 7*g**2 - 3*g. Calculate 5*v(r) - 3*z(r). -2*r**3 - r**2 - r Let u(d) = d**3 + 4*d**2 - 4*d + 5. Suppose -103 = -9*j + 41. Suppose 6 = -14*z + j*z. Let m(w) = 2*w**3 + 3*w**2 - 3*w + 4. Calculate z*u(a) - 4*m(a). -5*a**3 - 1 Let q(v) = v + 4. Let m(a) = 5*a**3 - 26*a**2 + 52*a - 239. Let y be m(5). Let d be -1*12*(-1)/4. Let j(k) = k + 3. Determine d*q(g) + y*j(g). -g Let i(b) = 2 - 4*b**2 - 2 + 3*b**2. Let j(u) = -u**3 + 6*u**2. Suppose -113*n - 14 + 59 = 723. What is n*i(v) - j(v)? v**3 Suppose -5*u = 208 - 28. Let o(w) = -1017598 - 7*w + 20*w**3 + 1017598 + 18*w**2 - 11*w. Let d(s) = -s**3 - s**2 + s. Give u*d(g) - 2*o(g). -4*g**3 Let j(t) be the first derivative of 7*t**3/3 + 5*t**2/2 + 15*t - 56. Let p(w) = -8*w**2 - 6*w - 15. Determine -6*j(f) - 5*p(f). -2*f**2 - 15 Let p(t) = -6*t - 696. Let m(i) = -5*i - 695. Calculate -4*m(a) + 3*p(a). 2*a + 692 Let d(u) = 33*u**2 + 4*u + 4. Let s(y) be the first derivative of 65*y**3/3 + 7*y**2/2 + 7*y + 1825. Give 7*d(o) - 4*s(o). -29*o**2 Let j(u) = 127 - 131 + 14*u - 18*u + 3*u**3. Let g(c) = 56*c**3 - 77*c - 77. Let v = 2 - 6. Give v*g(w) + 77*j(w). 7*w**3 Let v(m) = 6*m**3 - 6*m**2 + 4*m + 36. Let b(o) = o**3 - 2*o**2 + o + 11. Give 10*b(l) - 3*v(l). -8*l**3 - 2*l**2 - 2*l + 2 Let h(c) = -2*c + 1. Suppose -48 - 6 = -6*u. Let y be 2*(-12)/u - (-2)/3. Let r(m) = -m + 1. What is y*r(t) + 3*h(t)? -4*t + 1 Suppose -1 = -3*d + 5*a, 3*d + 5*a = 9*a + 2. Let j(x) = 145*x + 137*x - d - 283*x. Let s(p) = -2*p - 3. Give 3*j(f) - 2*s(f). f Let z(n) = 6*n**3 - 3*n**2 - 5*n - 6. Suppose -b + 13 = 3*h + 7, -4*b + 8 = -4*h. Let k(i) = -11*i**3 + 5*i**2 + 9*i + 11. What is b*k(m) + 5*z(m)? -3*m**3 + 2*m + 3 Let j(u) = -11*u**3 - 21*u**2 - 3. Let f(g) = 6*g**3 + 11*g**2 + 2. Let x(s) = -6*s**2 - 354*s - 7. Let i be x(-59). Calculate i*f(z) - 4*j(z). 2*z**3 + 7*z**2 - 2 Let w(p) = -12*p + 758. Let d(u) = 13*u - 771. Give -13*d(b) - 14*w(b). -b - 589 Let f(y) = 3*y**2. Let s(t) = 9*t**2. Let c be 6/((-4)/2) - -5. Suppose -2*q + 32 = c*q. Let h be (-12 - -13)*(8 - 11). Determine h*s(l) + q*f(l). -3*l**2 Let o(s) = -7*s**3 + 2*s - 2. Suppose 14 = j + 9. Let c(b) be the first derivative of 0*b**3 - 17 + 5*b - 5/2*b**2 + 15/4*b**4. What is j*o(f) + 2*c(f)? -5*f**3 Let j(s) = -475*s**3 - 95*s + 31. Let t(y) = -95*y**3 - 17*y + 6. What is 2*j(m) - 11*t(m)? 95*m**3 - 3*m - 4 Let g(p) = -4*p**2 - 6*p + 3. Let l = -927 - -928. Let n(t) = -t - 1. Give l*g(z) - 6*n(z). -4*z**2 + 9 Let m(t) = 250*t + 10. Let c(b) = -98*b - 3. Determine 16*c(o) + 5*m(o). -318*o + 2 Let g(j) = 2*j**3 - 28*j**2. Let k(h) be the first derivative of -h**4/4 + 14*h**
{ "pile_set_name": "DM Mathematics" }
(343) + 0 - sqrt(343)) + -2)**2 + 5). 27 Simplify ((3 + sqrt(425) + -5)*-3)**2*3. -540*sqrt(17) + 11583 Simplify ((-1 + -3*(1 + sqrt(128) + sqrt(128)) + sqrt(128))*-2)**2. 1280*sqrt(2) + 12864 Simplify -2 + 1 + sqrt(832) + -5. -6 + 8*sqrt(13) Simplify 1*sqrt(108) + -4. -4 + 6*sqrt(3) Simplify sqrt(1008) + -4 + 0 + sqrt(1008) + 5. 1 + 24*sqrt(7) Simplify (sqrt(350)/sqrt(640))/sqrt(5). sqrt(7)/8 Simplify (sqrt(567) + 2 + sqrt(567) + -2*sqrt(567))*2. 4 Simplify (-3*sqrt(77)*1)/((sqrt(66)/sqrt(3))/sqrt(2)). -3*sqrt(7) Simplify (2 + (sqrt(68) + 0 - sqrt(68) - sqrt(68)))**2. -8*sqrt(17) + 72 Simplify 2 + 2*(sqrt(11) + (sqrt(176))**2 + 4). 2*sqrt(11) + 362 Simplify (-3 + ((sqrt(2448) + -1)*6 - -6*(1*sqrt(2448) - sqrt(2448))))**2. -1296*sqrt(17) + 88209 Simplify ((sqrt(156) + (sqrt(156)*3 - sqrt(156) - sqrt(156)))*-4 - sqrt(156))/(sqrt(432)*1). -3*sqrt(13)/2 Simplify (-4 + sqrt(33)/sqrt(3))**2 - sqrt(66)/sqrt(54). -25*sqrt(11)/3 + 27 Simplify 3 + sqrt(891) + 4. 7 + 9*sqrt(11) Simplify (3*1*(0 + sqrt(363)))**2. 3267 Simplify 4*-6*((sqrt(2)*2 + sqrt(2))**2 - sqrt(2)). -432 + 24*sqrt(2) Simplify (sqrt(72)*-5 + sqrt(2) + sqrt(1250))**2. 32 Simplify (sqrt(110) + sqrt(110)*-5*5 - sqrt(110))/sqrt(10). -25*sqrt(11) Simplify (3*(sqrt(38) - sqrt(190)/sqrt(5)))/(sqrt(288) - (sqrt(288) + (sqrt(288)*-3 - sqrt(288)))). 0 Simplify (sqrt(7)*-1*-6 + sqrt(504)/sqrt(8))**2. 567 Simplify (sqrt(17) - sqrt(17)*2*-1 - (sqrt(17) + 2*sqrt(153)))**2. 272 Simplify ((-5*sqrt(136)*-1)/(sqrt(8) - sqrt(128)*-4 - sqrt(8)))**2. 425/256 Simplify (2 + sqrt(175))**2 - sqrt(126)/sqrt(2). 17*sqrt(7) + 179 Simplify ((sqrt(85) - (sqrt(85)*4 + sqrt(85)))*-3)/sqrt(5) + 1. 1 + 12*sqrt(17) Simplify (sqrt(5) + sqrt(45)/sqrt(9) + -5)**2 + -5 + sqrt(5)*3. -17*sqrt(5) + 40 Simplify -4 + sqrt(50) + 4. 5*sqrt(2) Simplify ((sqrt(11) - -6*sqrt(33)/sqrt(3)) + (-1 + sqrt(44))**2)*-4. -180 - 12*sqrt(11) Simplify (sqrt(2448) - (-2 + (-1 + sqrt(2448))**2)) + sqrt(2448). -2447 + 48*sqrt(17) Simplify -3 + (1*sqrt(35))/sqrt(7) + 1*(1*sqrt(5) - sqrt(5))*3. -3 + sqrt(5) Simplify 3*-4*sqrt(13) - (sqrt(13) + -4*sqrt(832))**2. -12493 - 12*sqrt(13) Simplify ((-2 + sqrt(11))*-4 + sqrt(11))*5. -15*sqrt(11) + 40 Simplify (-5*1*sqrt(1584)*-2)**2. 158400 Simplify sqrt(1700)*2 + (sqrt(612) + sqrt(612) + -2 + sqrt(17))**2. -32*sqrt(17) + 2877 Simplify (((sqrt(110) - (sqrt(110) - sqrt(110)*-1)*-1) + sqrt(110) - sqrt(110))/sqrt(10))**2. 99 Simplify -4 + -4*sqrt(176). -16*sqrt(11) - 4 Simplify ((sqrt(880)*-3)/sqrt(11))**2. 720 Simplify ((sqrt(19) - (sqrt(19) - (sqrt(19) + -2)))*5)**2 - (3*sqrt(152))/sqrt(8). -103*sqrt(19) + 575 Simplify (1 + sqrt(27) + -4 - sqrt(27)*-2*4)*6. -18 + 162*sqrt(3) Simplify ((sqrt(12) + sqrt(12) + (sqrt(588) - 3*sqrt(588)))/((sqrt(42) + (sqrt(42) - sqrt(1050)))/sqrt(7) - sqrt(6)))**2. 18 Simplify (sqrt(8)*-3 + 2 + sqrt(2) + 4)**2. -60*sqrt(2) + 86 Simplify sqrt(500)*2 + sqrt(500) + -3 + -5. -8 + 30*sqrt(5) Simplify 3 + (sqrt(36)/sqrt(3)*4 + sqrt(12))/(4*-1*sqrt(4)). -5*sqrt(3)/4 + 3 Simplify 4*(1 + sqrt(5)) - (sqrt(30) - sqrt(180)/sqrt(6))/sqrt(6). 4 + 4*sqrt(5) Simplify -1*(sqrt(68)*-1 + sqrt(68)) + 3. 3 Simplify (-2*sqrt(78)*1)/(sqrt(168)/sqrt(7)). -sqrt(13) Simplify -4 + (sqrt(28)*5)**2. 696 Simplify (sqrt(1539) + (0 + sqrt(1539))*-1)**2. 0 Simplify ((sqrt(432) - (sqrt(432) + -3)) + (sqrt(18)*-3)/sqrt(6))**2. -18*sqrt(3) + 36 Simplify (sqrt(1700) + 1)**2*-3. -5103 - 60*sqrt(17) Simplify (4*1*sqrt(119) + sqrt(119))/(sqrt(7) + sqrt(252) + sqrt(252)*1 + sqrt(252) - sqrt(7)). 5*sqrt(17)/18 Simplify ((sqrt(224) + sqrt(224)*-2)*-1)/(sqrt(7) - sqrt(63)*2). -4*sqrt(2)/5 Simplify (-1 + (sqrt(77) - (sqrt(77)*-2 - sqrt(77) - sqrt(77)))/sqrt(7))**2. -10*sqrt(11) + 276 Simplify 1*sqrt(117)/(1*sqrt(225)). sqrt(13)/5 Simplify (sqrt(192) + 2)**2 + 5. 32*sqrt(3) + 201 Simplify (-5*sqrt(396))/((sqrt(400) - -1*sqrt(400)) + sqrt(400)). -sqrt(11)/2 Simplify (0 + sqrt(1100))*6 + (-2*sqrt(1100))**2*2. 60*sqrt(11) + 8800 Simplify 1 + (sqrt(432)*-1*1 - 6*(-1 + sqrt(432) - sqrt(432))). -12*sqrt(3) + 7 Simplify (-5*(sqrt(5) + 2)*-2)**2. 400*sqrt(5) + 900 Simplify (6*(2 + sqrt(3)))**2 - ((-1*sqrt(6))/sqrt(2) + sqrt(3)). 144*sqrt(3) + 252 Simplify 3 + sqrt(14)/sqrt(2) + -2. 1 + sqrt(7) Simplify 1 + -5*sqrt(52) + (-1*sqrt(130))/sqrt(10). -11*sqrt(13) + 1 Simplify (3*sqrt(60))/(sqrt(9)/(-1*sqrt(3))). -6*sqrt(5) Simplify ((1*sqrt(15) + sqrt(15))/sqrt(5) - sqrt(3)) + -2. -2 + sqrt(3) Simplify 2 + (sqrt(21)/sqrt(3) + 0 - (-1 + (sqrt(21)/sqrt(3) - sqrt(7)))). sqrt(7) + 3 Simplify (sqrt(2299) + 2*sqrt(2299))*-1 - sqrt(2299). -44*sqrt(19) Simplify -3 + sqrt(1008) + 5 + (0 + sqrt(1008))**2 + sqrt(1008). 24*sqrt(7) + 1010 Simplify 5*(sqrt(102) + (sqrt(102) - 2*(1*sqrt(102) + sqrt(102))))/(sqrt(24)*-2). 5*sqrt(17)/2 Simplify (sqrt(12) - 1*sqrt(1200))/(-1*sqrt(150)). 9*sqrt(2)/5 Simplify -4*(2 + (sqrt(128)*-2 - sqrt(128))). -8 + 96*sqrt(2) Simplify 4*-5*sqrt(9)/sqrt(3) + -4. -20*sqrt(3) - 4 Simplify -2*(sqrt(60)/(sqrt(72)/sqrt(6)))**2. -10 Simplify sqrt(200)*4 + 4. 4 + 40*sqrt(2) Simplify 5*(sqrt(270)*5)/sqrt(10). 75*sqrt(3) Simplify sqrt(315)/(sqrt(21)/sqrt(3)). 3*sqrt(5) Simplify (5*(0 + sqrt(304) + -1))**2. -200*sqrt(19) + 7625 Simplify (((sqrt(75)*1)/sqrt(5))/(sqrt(3) + sqrt(21)/sqrt(112)))**2. 16/5 Simplify (sqrt(143) + 2*sqrt(143)*-1)/(1*sqrt(1331)). -sqrt(13)/11 Simplify sqrt(500)*5 - (-1 + sqrt(180)). 1 + 44*sqrt(5) Simplify (-6*6*(sqrt(3) - sqrt(48)))**2. 34992 Simplify (sqrt(378) + (sqrt(378) - (sqrt(378) - (sqrt(378)*-2 + sqrt(378)))) + sqrt(378) + sqrt(378) - sqrt(42))/sqrt(6). 5*sqrt(7) Simplify -3*(sqrt(34)/(sqrt(8)*-6))**2. -17/48 Simplify (sqrt(99)/(sqrt(72)/sqrt(8)))**2 + -1. 10 Simplify ((sqrt(70) - (sqrt(70) + (sqrt(70)*-2 - sqrt(70))))*3)/(-4*sqrt(20)/sqrt(2)). -9*sqrt(7)/4 Simplify (-3 + sqrt(320) + 2)**2 - (-1 + sqrt(320) + 1). -24*sqrt(5) + 321 Simplify -6*-5*sqrt(52)*2. 120*sqrt(13) Simplify ((sqrt(336)*-2 - sqrt(336))/((sqrt(21)/(sqrt(21)/sqrt(3)) - sqrt(3)) + sqrt(3)))**2*-6. -6048 Simplify (sqrt(170)*-2 - sqrt(170))/sqrt(10) - (sqrt(17) - (-5 + sqrt(272)))**2. -178 + 27*sqrt(17) Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114) + 1*sqrt(114))))/sqrt(6) + sqrt(19) + (sqrt(2299)*2 - sqrt(2299)) + sqrt(2299). 22*sqrt(19) Simplify ((sqrt(19) - (-1 + sqrt(19) + -5)) + (-1*sqrt(95))/sqrt(5))**2*-1. -55 + 12*sqrt(19) Simplify (sqrt(52) + sqrt(832) + 1)**2*-6. -7806 - 120*sqrt(13) Simplify (1 + 1 + sqrt(2))**2*4. 16*sqrt(2) + 24 Simplify 4*(sqrt(12))**2 + -1*sqrt(3) + -3 + 0. -sqrt(3) + 45 Simplify ((2*sqrt(1700))**2 - sqrt(1700))*4 - -4*(1 + sqrt(1700)). 27204 Simplify 2*sqrt(49)/(sqrt(35)/sqrt(5)). 2*sqrt(7) Simplify (1 + 1 + sqrt(1900))**2 + sqrt(1900) + sqrt(76)*-1 + (sqrt(19)*2*6)**2. 48*sqrt(19) + 4640 Simplify (6*sqrt(187)*1)/sqrt(11). 6*sqrt(17) Simplify -1*(((0 + sqrt(3))*-2)**2 + 2). -14 Simplify (sqrt(28)*2 - (sqrt(7) + (0 + sqrt(343) - sqrt(343)) + sqrt(343))) + (sqrt(28) - -1*sqrt(700))/sqrt(4). 2*sqrt(7) Simplify -1*(sqrt(1100) - sqrt(1100)*2) - sqrt(110)/(2*sqrt(250)). 99*sqrt(11)/10 Simplify sqrt(1008)*2 + -1. -1 + 24*sqrt(7) Simplify ((-3*sqrt(104)*5)/(sqrt(72)/(sqrt(45)/sqrt(5))))**2. 2925 Simplify (-5 + sqrt(125) + sqrt(125) + 1)**2 - (-5*(sqrt(125) - sqrt(125)*-2) - sqrt(125)). 516 Simplify -6*(sqrt(24)/sqrt(4))/sqrt(3). -6*sqrt(2) Simplify (sqrt(475) - -3*(sqrt(475)*1 - sqrt(475)))*5. 25*sqrt(19) Simplify ((sqrt(195) - -1*sqrt(195))/sqrt(5))/(sqrt(27)*-3 + sqrt(3)). -sqrt(13)/4 Simplify ((2*sqrt(847) - sqrt(7)) + -4*(sqrt(7) + 1))*5. -20 + 85*sqrt(7) Simplify -6*(sqrt(52)/sqrt(4))**2 - sqrt(13) - (-1 + sqrt(1872)). -77 - 13*sqrt(13) Simplify sqrt(55)/(sqrt(15)/sqrt(3)*4). sqrt(11)/4 Simplify (1*sqrt(204) - sqrt(51))/(2*sqrt(432)). sqrt(17)/24 Simplify 4*(0 + (sqrt(22)/sqrt(2))**2 + 3). 56 Simplify -2*((sqrt(352) + 1*sqrt(352) - sqrt(352))*-2)/sqrt(8). 8*sqrt(11) Simplify ((sqrt(1331) + sqrt(1331)*-1*-3 + (1 + sqrt(1331))*2)*-1)**2. 264*sqrt(11) + 47920 Simplify (6*-1*sqrt(245) + (-2 + sqrt(245))*3)**2. 252*sqrt(5) + 2241 Simplify (-2 + sqrt(13) + -2 - sqrt(13)) + 5. 1 Simplify -5*(sqrt(143) + (sqrt(143) - -2*sqrt(143)) + sqrt(143) + sqrt(143))/sqrt(11)*-3. 90*sqrt(13) Simplify 1 + 3*(sqrt(13) + -2) + -3. -8 + 3*sqrt(13) Simplify 6*3*(sqrt(684) + -3). -54 + 108*sqrt(19) Simplify (4*(-
{ "pile_set_name": "DM Mathematics" }
a? -k*z - 85*k - 835387*z What is the third derivative of -2294648*r**3*u**3 + 35*r**2 - 95*r*u**3 - 62*r*u**2 - 4 wrt r? -13767888*u**3 What is the third derivative of -42188*j*q**3 + j - 25*q**3 + 57099049*q**2 wrt q? -253128*j - 150 Differentiate -1157783*o**3 - 16125501 with respect to o. -3473349*o**2 Find the third derivative of 12517*t**5 - 210*t**3 + 5249017*t**2 wrt t. 751020*t**2 - 1260 Find the first derivative of -30734052*v**4 - 15454177. -122936208*v**3 Find the second derivative of 11685401*m**4 - 60686244*m. 140224812*m**2 Differentiate 69*j*l**2 + 3*j*w - 528*j + 45597083*l**3*w + l**3 - l**2 with respect to w. 3*j + 45597083*l**3 Find the third derivative of 2323*f**2*y**4 + 103*f**2*y**3 - 4*f**2*y - f*y + 36*y**2 - 691 wrt y. 55752*f**2*y + 618*f**2 What is the second derivative of -346389094*w**2 + 149015005*w? -692778188 What is the derivative of 65021252*a*s**2 + 30518094*s**2 wrt a? 65021252*s**2 Find the third derivative of -2*l**4 + 20544445*l**3 + 3529866*l**2 - 2. -48*l + 123266670 What is the second derivative of 2*x**2*y**2 - 4*x**2*y - x**2 + 30*x*y - 42008391*y**2 - 30799 wrt y? 4*x**2 - 84016782 Find the third derivative of 8529*a**2*o**3 - 2950*a**2 + 24*a*o**3 + 2*o**3 + 52*o**2 wrt o. 51174*a**2 + 144*a + 12 Find the second derivative of -226279915*d**5 - 116457925*d wrt d. -4525598300*d**3 What is the third derivative of -36*u**5 + 31231*u**4 + u**3 + 234*u**2 + 140027*u wrt u? -2160*u**2 + 749544*u + 6 Differentiate 235962581*d + 1883179 wrt d. 235962581 What is the derivative of -n**3 + 4469646*n**2 + 199698682? -3*n**2 + 8939292*n Find the second derivative of -1381870*a**3*o**2 + 7186*a**3*o + 158*a**3 - 2*a**2*o**2 - 24*o**2 + 20*o wrt o. -2763740*a**3 - 4*a**2 - 48 Differentiate 163958*s**2 + 260*s + 18873612. 327916*s + 260 Find the first derivative of 20257217*k**3 + 40175990. 60771651*k**2 What is the second derivative of -b*q*r**2 + 484681*b*q + b*r**2 - b - 203807*q*r**2 - 4*q*r + 8*r**2 + 2 wrt r? -2*b*q + 2*b - 407614*q + 16 What is the third derivative of 2*f**5 - 2387570*f**4 - 171*f**2 + 2*f - 50446 wrt f? 120*f**2 - 57301680*f What is the third derivative of -3459875*y**3 - 4069*y**2 - 61 wrt y? -20759250 What is the third derivative of -804*r**4 - 30514*r**3 + 2690*r**2 - 4653*r + 1? -19296*r - 183084 What is the third derivative of 17180373*g**3 - 186871*g**2 + 22? 103082238 Find the first derivative of -163742752*y**2 - 90245024. -327485504*y Find the third derivative of -19998861*y**5 + y**2 - 103222559*y. -1199931660*y**2 Find the first derivative of -1111563615*d*x - 1171135893*d wrt x. -1111563615*d What is the first derivative of 324214420*g**2 - 365398544 wrt g? 648428840*g What is the derivative of -8835*u**2*y + 3*u**2 - 3*u*y + 29*u - 18*y - 16085 wrt y? -8835*u**2 - 3*u - 18 Find the second derivative of -287541395*z**3 + 34849743*z + 8 wrt z. -1725248370*z What is the third derivative of -18109147*h*n**4 + h*n**3 - 127922*h*n + 36*n**2 wrt n? -434619528*h*n + 6*h Find the second derivative of -50287587*h**2 + 34428511*h wrt h. -100575174 Find the third derivative of 2*b**3*i**2 - 417757*b**3 + 292*b**2*i**2 - 23719*i**2 wrt b. 12*i**2 - 2506542 What is the second derivative of -23*m**4 + 299740*m**3 - 166441*m + 66 wrt m? -276*m**2 + 1798440*m Find the third derivative of -5951133*a**3*y**2 + 1381*a**2*y + 8*a**2 + 2*a*y**2 - 17*y**2 wrt a. -35706798*y**2 Differentiate -80329259*i**2 + 134775383 with respect to i. -160658518*i Find the third derivative of -271854019*k**6 + 851*k**2 + 6882*k wrt k. -32622482280*k**3 Find the second derivative of 230013922*t**3 + 247089916*t. 1380083532*t What is the second derivative of 9570859*y**2 - 148367*y wrt y? 19141718 Find the third derivative of 1223*o**2*s**3 - o**2*s**2 - 3*o**2*s - 2*o*s**2 + 8*o*s - 4854*o + 13356*s**4 - 1 wrt s. 7338*o**2 + 320544*s What is the second derivative of -4*b*t**4 + 53221541*b*t**3 + 4*b*t + 4*b - 88040*t - 6 wrt t? -48*b*t**2 + 319329246*b*t Differentiate -h*l**2*u**2 + 870*h*l*u**2*w + 6*h*l*u - 5*h*l - 37*h*w - 2*l**2*u**2 + 2*l**2*w - 22696*l*u with respect to w. 870*h*l*u**2 - 37*h + 2*l**2 What is the third derivative of -132747263*x**6 - 302970*x**2 - x - 71? -15929671560*x**3 What is the third derivative of -1066235423*d**3 - 813196430*d**2 wrt d? -6397412538 What is the third derivative of -19784930*p**3 + 39445644*p**2? -118709580 Differentiate -4240891*o**3 - 6802195 with respect to o. -12722673*o**2 What is the third derivative of -2388*u**5 - 7*u**4 + 7*u**3 + 21*u**2 + 14*u + 82029 wrt u? -143280*u**2 - 168*u + 42 Find the third derivative of 3*l**4 + 1364624*l**3 + 512763*l**2 wrt l. 72*l + 8187744 What is the second derivative of -9*i**2*r**2 + i**2*r + 777630*i**2 - 46*i*r**2 + 43305*i*r wrt i? -18*r**2 + 2*r + 1555260 Find the second derivative of -25487429*j*x*z**2 - 2*j*x*z + 3*j*x - 77*j*z + j + 3*x*z + 4*x + z**2 - 141*z wrt z. -50974858*j*x + 2 Find the third derivative of -841592390*d**3*q**3 + 23340471*d**3*q**2 + 16*d*q**2 wrt q. -5049554340*d**3 What is the second derivative of 373*l*t*z**2 + 2*l*t*z + 286*l*t - 2887*l*z**2 + 628*l*z + 4*l wrt z? 746*l*t - 5774*l Differentiate 10815*d**3 - 9*d**2 + 12*d - 45430870 wrt d. 32445*d**2 - 18*d + 12 Differentiate 12144197*l**4 + 35338667. 48576788*l**3 Find the third derivative of -9277884*l**5 + 5245618*l**2. -556673040*l**2 Find the second derivative of 989808*t**3 - 18*t**2 - 189*t - 143049 wrt t. 5938848*t - 36 What is the second derivative of -c**3*i**2 + 4*c**3*i + 5*c**3 + 2*c**2*i + 13292*c**2 - 127280857*c*i**4 + 2*i + 115 wrt i? -2*c**3 - 1527370284*c*i**2 What is the second derivative of -153393785*z**2 - 26297622*z + 2? -306787570 What is the derivative of -8621*h*p**3 - 4115*h*p - 98930961*h wrt p? -25863*h*p**2 - 4115*h What is the third derivative of 3462*j**5 + 1381*j**3 + 106320*j**2 - j + 3 wrt j? 207720*j**2 + 8286 What is the first derivative of 59*m**4 + 129*m**3 - m**2 + 5*m - 81523162? 236*m**3 + 387*m**2 - 2*m + 5 Find the first derivative of 15*g*n*z + 14701842*g*z**2 - 34168*n*z**2 - 5*n*z - 2*n + 2*z**2 - 5*z - 2 wrt g. 15*n*z + 14701842*z**2 What is the third derivative of -20006982*k**4 - 1800*k**2 + 6641*k wrt k? -480167568*k What is the second derivative of 500891617*c**2*z - 3373*c*z + c - 641*z wrt c? 1001783234*z Find the third derivative of -209313533*v**4 + 15*v**2 - 1381488*v wrt v. -5023524792*v Find the second derivative of -4*k**5 - 7*k**3 + 2104820*k**2 - 344879797*k wrt k. -80*k**3 - 42*k + 4209640 What is the first derivative of -596*d*g + 16340*d*q**2 + 16*g*q**2 - 791*g*q - 2*g - 4*q wrt d? -596*g + 16340*q**2 Find the second derivative of 69*l*v**5 - 33*l*v + 312488*v**5 + 463665*v wrt v. 1380*l*v**3 + 6249760*v**3 What is the third derivative of -237510714*n**5 - 26*n**2 - 6663493*n + 1? -14250642840*n**2 What is the derivative of -1089604973*b**3*d**3 - 2*b**3 - 4616330*b**2 - 10*b + 3 wrt d? -3268814919*b**3*d**2 Differentiate -3*k**2*n**2 + 30*k**2 - 3*k - 15605*n**2*r - 2*n**2 + 338*r + 1 with respect to n. -6*k**2*n - 31210*n*r - 4*n What is the third derivative of -165744944*l**3 - 281*l**2 - 63350*l - 1? -994469664 What is the first derivative of -34491731*o + 3270562? -34491731 Find the second derivative of 73732821*g**5 - 206935717*g wrt g. 1474656420*g**3 Find the third derivative of -13*o**2*w**3*z - 165*o**2*w + 16140*o*w**3*z + 70896*o*w*z + w**2 wrt w. -78*o**2*z + 96840*o*z What is the third derivative of 14283110*c**3*v**2 + 412302*c**2*v - 2*c*v**2 + 2*c + 5*v**2 wrt c? 85698660*v**2 Differentiate 175280417*a*v - 20309*v + 269 with respect to a. 175280417*v What is the second derivative of -206109687*n**2*o + 177390*n*o - 229*n wrt n? -412219374*o What is the first derivative of -35122682*w - 37435620? -35122682 Differentiate -40773268*k*m + 2307811*m + 3 wrt k. -40773268*m Differentiate 234*w**3 - 2*w**2 - 533*w - 4684322 with respect to w. 702*w**2 - 4*w - 533 Differentiate -5*h**4 + 1497314*h**3 - 3*h**2 + 1407757284 with respect to h. -20*h**3 + 4491942*h**2 - 6*h Find the first derivative of g*n**2 + 1104319*g + 5886160*n**3 wrt n. 2*g*n + 17658480*n**2 Find the third derivative of -802810085*c**5 - 40311009*c**2 + c wrt c. -48168605100*c**2 Find the second d
{ "pile_set_name": "DM Mathematics" }
p. What is c(v(b))? 7896*b**2 + 111*b Let p(q) = -q. Let x(r) be the second derivative of r**6/360 + 29*r**5/120 - 3*r**3 - 13*r. Let l(u) be the second derivative of x(u). Calculate l(p(j)). j**2 - 29*j Let y(z) = 5*z - 5*z - 211 - z + 211. Let j(u) = 3*u + 9. Calculate y(j(w)). -3*w - 9 Let p(f) = -5*f**2. Let r = 1 + 2. Suppose r*s - s = 0. Let n(o) = -4*o + s*o - 3*o + 9*o. Determine n(p(v)). -10*v**2 Let w(k) = -k - 35. Let y(l) = 20418*l. Determine y(w(f)). -20418*f - 714630 Let d(i) = -i**2. Suppose 2*a = -2*k + 6 + 6, 4*a = 4*k. Suppose -a = -5*z + 2. Let x(q) = 1 - z - 11*q**2 + 19*q**2. Calculate x(d(g)). 8*g**4 Let p(l) = 10*l. Let h(g) = -8743*g**2 - g - 3. What is h(p(w))? -874300*w**2 - 10*w - 3 Let k(g) = 20*g. Let r(q) = -2*q + 12. Let d(i) = -2*i + 9. Let b(w) = -4*d(w) + 3*r(w). Give k(b(h)). 40*h Let q(w) = -80*w. Let a(s) = -39*s + 17. Let c(x) = -14*x + 6. Let l(r) = -6*a(r) + 17*c(r). Give l(q(k)). 320*k Let y(m) = 9*m. Let s be 0*(-2 + 15/6). Suppose -3*g - 79 + 424 = s. Let t(d) = -g - d**2 + 115. Give y(t(l)). -9*l**2 Let s(w) = 45*w. Let x(k) = -2*k**2 + 6105. Determine s(x(i)). -90*i**2 + 274725 Let w(d) = d**2 - 293 + 293. Let u(y) = 3*y. Determine w(u(j)). 9*j**2 Let t(w) = w + 57. Let b(d) be the second derivative of -d**3/3 - 4*d + 11. Calculate t(b(g)). -2*g + 57 Let a(v) = -274*v + 99*v + 91*v + 107*v. Let z(u) = -1. Let w(m) = -m - 2. Let t(d) = w(d) - 2*z(d). Calculate a(t(r)). -23*r Let t(n) = -173*n**2. Let y(k) = -2*k - 10925 + 10925. What is t(y(q))? -692*q**2 Let i(j) = j**2 + 13*j - 1. Let b be i(-16). Let o(g) = -49*g**2 + 97*g**2 - b*g**2. Let c(t) = 10*t**2 + t. Give c(o(v)). 10*v**4 + v**2 Let d(g) be the second derivative of g**3/3 - g. Let i(o) = -o**3 + 9*o**2 + 2*o - 13. Let c be i(9). Let u(z) = 5*z + 4*z - 2*z - c*z. Calculate d(u(s)). 4*s Let h(q) = -16637*q. Let m(c) = 3*c + 1. Determine m(h(g)). -49911*g + 1 Let l(f) = 9*f - 4. Let m(z) = -7*z + 3. Let h(b) = 3*l(b) + 4*m(b). Let o(c) = 9*c**2. Determine h(o(a)). -9*a**2 Let c be (7/2 - 4)*0. Let b(x) = x + x + c*x. Let i(o) = 9*o**2. Calculate b(i(n)). 18*n**2 Let p(a) = a. Let h(r) = -419888*r. What is h(p(c))? -419888*c Let j(d) = -492*d**2 + 533*d**2 + 3 - 3. Let i(c) = -7*c**2. What is j(i(y))? 2009*y**4 Let q(h) = -105*h - 40. Let g(a) = 8*a + 3. Let s = -154 - -114. Let c(d) = s*g(d) - 3*q(d). Let v(x) = -6*x. What is v(c(o))? 30*o Let k(q) = 183*q - 47*q - 48*q - 41*q - 49*q. Let f(v) = 38*v - 5. Let n(r) = -37*r + 4. Let u(o) = -4*f(o) - 5*n(o). What is k(u(j))? -66*j Let a(z) be the first derivative of 17*z**2/2 + 590. Let g(i) = -17*i. What is g(a(v))? -289*v Let k(m) = m. Let v(x) = -117862*x. What is v(k(a))? -117862*a Let l(s) = -243*s**2 - s - 2. Let n(u) = -23*u. Give n(l(k)). 5589*k**2 + 23*k + 46 Let k = 128 - 126. Let a(y) = -63*y**k - 67*y**2 + 124*y**2. Let i(c) = -4*c**2. Give i(a(m)). -144*m**4 Let d(g) be the second derivative of 0 + 0*g**2 - 1/6*g**3 + 27*g. Let u(j) = -11*j**2. Determine d(u(v)). 11*v**2 Let a(h) = 98*h**2. Let c(q) = -6*q**2 + 5*q + 5. Let n(r) = r**2 - r - 1. Let i(m) = c(m) + 5*n(m). Give i(a(u)). -9604*u**4 Let q(v) = v**3 - 7*v**2 - 9*v + 19. Let d be q(8). Let b(h) = h**2 + 2*h**2 + d - 11. Let a(z) be the second derivative of z**4/6 - 2*z. What is b(a(j))? 12*j**4 Suppose 4*k + 3 = 11, v + 4*k = 10. Let y(l) = -7*l**2 + 11*l**v - 12*l + 12*l. Let t(u) = -3*u + 2*u + 4*u. Calculate y(t(i)). 36*i**2 Let p(l) = -368631*l. Let f(x) = 2*x. Give p(f(d)). -737262*d Let x(c) = -36*c**2 + 11*c - 11. Let n(w) = -3*w**2 + w - 1. Let b(g) = 22*n(g) - 2*x(g). Let d(r) = -6*r. Determine d(b(s)). -36*s**2 Let r(a) = 424*a**2. Let p(m) = -51*m**2. What is r(p(c))? 1102824*c**4 Let j(r) = 16*r**2. Let o(z) = 2 - 10 + 1 + 7 + 8*z**2. Calculate j(o(a)). 1024*a**4 Let c(t) = -3*t - 1. Let f(p) = -12*p + 2. Let u(z) = -4*c(z) - f(z). Let a(h) = -7*h. Calculate u(a(x)). -168*x + 2 Let h(y) = -11*y + 17. Let q(g) = 2*g - 3. Let n(k) = -6*h(k) - 34*q(k). Let u(a) = 91 - 91 - 12*a**2. Give u(n(r)). -48*r**2 Let q(z) be the second derivative of z**3/2 - 3*z**2 - 5*z - 3. Let v(t) = -t**2. What is q(v(y))? -3*y**2 - 6 Let t(r) = 5*r + 4. Let j(f) = -10*f - 10. Let s(l) = 2*j(l) + 5*t(l). Let p(z) = 24*z + 14. Let m(i) = 5*i + 3. Let n(y) = -28*m(y) + 6*p(y). Give s(n(o)). 20*o Suppose 0 = 2*n - 5 + 1. Let d(y) = -4 + n - 2*y + 2. Let p(w) = -w**2. Let q(j) = -j**2. Let c(i) = -12*p(i) + 4*q(i). What is c(d(h))? 32*h**2 Let l(m) = -3*m**2. Let a(g) = -18*g**2 + 2836*g - 2836*g. Give a(l(k)). -162*k**4 Let n(s) = 12*s**2. Let d(w) = -35*w - 22*w - 27*w + 64*w. Give d(n(v)). -240*v**2 Let p(n) = 15*n - 59. Let i(v) = -43*v. What is p(i(j))? -645*j - 59 Let a(v) = 4*v. Let k(r) be the third derivative of r**5/15 + r**4/8 - 26*r**2 + 2*r. Calculate k(a(o)). 64*o**2 + 12*o Let h(b) = 6*b**2. Let w(c) = -6*c**2 + 92*c. Calculate w(h(u)). -216*u**4 + 552*u**2 Let i(a) be the first derivative of -4*a**2 - 2. Let o(r) = -55*r + 46*r + 5*r. Determine o(i(w)). 32*w Let h(t) = -t. Let c(l) = 4*l. Let m(q) = c(q) + 5*h(q). Let j be 5 + 4 + (-2)/1. Let f(y) = 4*y + j*y - 6*y. Determine m(f(s)). -5*s Let j(m) = m**2. Let i(n) = 3*n**2 - 48*n. Let f(c) = 3*c**2 - 50*c. Let s(t) = 6*f(t) - 5*i(t). Calculate s(j(v)). 3*v**4 - 60*v**2 Let v(z) = -20*z**2. Let q(w) be the second derivative of w**5/30 - 4*w**2 + 3*w. Let c(n) be the first derivative of q(n). Determine v(c(m)). -80*m**4 Let t(f) = -4*f**2 - 2. Let v(m) = 8*m**2 + 16. Give v(t(b)). 128*b**4 + 128*b**2 + 48 Let x(c) = -24*c**2. Let f(j) = -120*j**2. Let n(z) = 3*f(z) - 16*x(z). Let k(h) = -h**2. Calculate n(k(r)). 24*r**4 Let o(b) = -b**2 + 7 - 7. Let i(t) = 4*t + 12. Let s(h) = h + 2. Let x(j) = -i(j) + 6*s(j). Calculate o(x(y)). -4*y**2 Let i(q) be the first derivative of 2*q**3/3 + 1. Let m(k) = -18*k + 4*k - 6306 + 6306. What is i(m(f))? 392*f**2 Let y(f) be the third derivative of -f**5/10 + 4*f**2. Let v = 48 + -53. Let x(p) = 7*p. Let z(w) = -10*w. Let l(i) = v*z(i) - 7*x(i). What is l(y(r))? -6*r**2 Let g(n) be the second derivative of -n**4/12 + n. Suppose -5*w - 24 = -2*r - 0*w, -4*r - 2*w = 0. Let c(s) = -r*s**2 - 10 + 10. What is c(g(j))? -2*j**4 Let t(q) = 11*q**2 - 2*q + 2479. Let v(b) = -b. Determine v(t(h)). -11*h**2 + 2*h - 2479 Let j(y) = 396*y**2. Let o(f) = -533*f**2. Give o(j(r)). -83582928*r**4 Let a(i) = -20187*i. Let k(d) = -2*d. What is k(a(h))? 40374*h Let j(g) = 9*g - 18. Let y(z) = z**2 + 89*z. What is y(j(n))? 81*n**2 + 477*n - 1278 Let t(k) = -4*k. Let f(o) = -3246*o**2 + 43. Calculate f(t(x)). -51936*x**2 + 43 Let h(y) = 132*y. Let n(s) = s**2 + 13. What is h(n(c))? 132*c**2 + 1716 Let n(u) = -11*u + u + 28 - 28. Let r(f) = -f + f + 41*f**2 - 40*f**2. Determine n(r(v)). -10*v**2 Let g(h) = -5*h**2. Let f(a) = -20*a**2 - 6*a. Let u(j) = 61*j**2 + 16*j. Let z(v) = 8*f(v) + 3*u(v). Give z(g(r)). 575*r**4 Let m(i) be the third derivative of -17*i**5/60 - 3*i**2. Let u(c) be the third derivative of c**4/12 - 7*c**2. Give m(u(b)). -68*b**2 Suppose 3*j = 3*s - 8 - 19, -3*s = 3*j - 9. Let x(f) = -12855 - s*f + 12855. Let t(a) = -2*a**2. Give t(x(p)). -72*p**2 Let f(g) = 2*g**2 - 8*g + 1034. Let m(q) = -5*q**2. Give f(m(z)). 50*z**4 + 40*z**2 + 1034 Let s(w) = -w. Let r(f) = -11 - 15 - 3*f + 9 + 9*f - 8*f. Determine s(r(m)). 2*m + 17 Let m be 1/1 - (0 + -1). Let t(g) = -3*g**m + 0*g**2 + g**2 + 6*g**2. Let i(u) = -u**2. Calculate t(i(r)). 4*r**4 Let l be (-36)/(-30)*(-20)/(-6). Suppose l*y - 3 = 5. Let q(c) = -c + y*c - c - 4*c. Let h(g) = -g. Calculate h(q(b)). 4*b Let q(t) = -t**2. Let h(o) = 2958430*o**2. Determine h(q(g)). 2958430*g**4 Let a(m) = 3*m. Let d(q) = -25723*q**2. Give a(d(z)). -77169*z**2 Suppose 16 + 8 = 12*x. Let q(v) = -46 - 22*v**2 + 46 - 11*v**x. Let s(k) = 2*k. What is s(q(p))? -66*p**2 Let j(y) be the third derivative of 17*y**4/24 - 95*y**2 - 2. Let n(h) = 10*h + 2. Calculate j(n(v)). 170*v + 34 Let o(f) = f + 8. Let l be (-36)/10 - (-4)/(-10). Let g be o(l). Let n(u) = 2*u - g + 4. Let k(p) = -3*p**2. Calculate n(k(s)). -6*s**2 Let q(z) = 3*z - 4*z - 7*z. Let g(k) be the third derivative of -k**4/6 - 501*k**2. Determine q(g(h)). 32*h Let i(y) = -6*y**2 - 5. Let m = -22 + 16. Let q(a) = 7*a**2 + 6. Let n(c) = m*i(c) - 5*q(c).
{ "pile_set_name": "DM Mathematics" }
24/5*z**5 + 40/3*z**3 - 12*z**4 - 7. Factor g(a). -4*a*(a - 3)*(a - 1)**3 Let t(p) be the first derivative of p**4/14 + 4*p**3/3 + 9*p**2/7 - 648*p/7 - 324. Determine k so that t(k) = 0. -9, 4 Factor -18/11 - 2/11*q**2 + 20/11*q. -2*(q - 9)*(q - 1)/11 Let z = 1251/3410 + -1/310. Let s be -3*((-194)/(-66) + -3). Factor -2/11 - s*a**2 + z*a. -2*(a - 1)**2/11 Let f(r) = -3*r**2 + 11*r - 3. Let p be f(3). Factor -3/5 - 3/5*x**p + 3/5*x**2 + 3/5*x. -3*(x - 1)**2*(x + 1)/5 Let 0 - 32/5*x - 5*x**5 - 84/5*x**3 + 26*x**4 - 136/5*x**2 = 0. What is x? -2/5, 0, 2, 4 Let j(t) be the first derivative of -t**4/10 + t**2/5 + 25. Suppose j(x) = 0. What is x? -1, 0, 1 Let y(s) = s**2 - 10*s - 9. Let h be y(11). Suppose 0 = z, 3*w + 0*z = -h*z + 9. Factor 26*j**3 - 27*j**3 - j**2 + j - 2 + w. -(j - 1)*(j + 1)**2 Let s = 21 + -18. Let h(t) = -3*t**2 - 2*t + 14. Let i(v) = -3*v**2 - 3*v + 15. Let p(z) = s*h(z) - 2*i(z). Determine q, given that p(q) = 0. -2, 2 Suppose 59*v**4 + 36*v - 69*v**3 - 15*v**5 - 7*v**2 - 4 + 24*v**2 - 24*v = 0. What is v? -2/5, 1/3, 1, 2 Let b(c) = 9*c**3 + 19*c**2 - 24*c. Let q(g) = -10*g**3 + 96*g - 20*g**2 - 71*g + 0*g**3. Let x(f) = -5*b(f) - 4*q(f). Let x(j) = 0. Calculate j. -4, 0, 1 Suppose -832 = -6*t - 7*t. Let y be ((-15)/2)/5*t/(-264). Factor y*u + 2/11 + 2/11*u**2. 2*(u + 1)**2/11 Let u = 5 + 3. Let -4*k**5 - 3*k**4 - u*k**4 + 3*k**4 - 4*k**3 = 0. Calculate k. -1, 0 Suppose -5*p - 5*n + 660 = 0, -n - 1 = 2. Solve -112 + p*w**2 + 5*w**4 + 112 - 45*w**3 - 135*w = 0 for w. 0, 3 Let f = 7 + 0. Suppose 14 + f = 7*n. Let 58/11*p**n - 40/11*p**2 + 2/11*p + 4/11 - 24/11*p**4 = 0. What is p? -1/4, 2/3, 1 Let t(r) = -7*r**5 - 33*r**4 + 19*r**3 + 49*r**2 - 60*r + 5. Let y(n) = -n**5 - 2*n**4 + 2*n**3 - n - 1. Let u(p) = -5*t(p) + 45*y(p). Solve u(h) = 0. -2, 1/2, 1, 7 Suppose 616137 - 10384*b**2 - 1/9*b**4 + 605694*b + 530/9*b**3 = 0. What is b? -1, 177 Let r(c) be the third derivative of -c**10/10080 + c**9/60480 + c**8/26880 - 11*c**4/24 - 16*c**2. Let l(d) be the second derivative of r(d). Factor l(g). -g**3*(3*g - 1)*(4*g + 1)/4 Suppose f - 2*f + 2 = 0. Determine g so that 28*g**3 - 27*g**3 + 2*g**f + 0*g**2 = 0. -2, 0 Let m(t) = t**3 - t**2 + t. Let z(c) = 2*c**3 + 47*c**2 - 46*c. Let l(p) = 3*m(p) - z(p). Determine b, given that l(b) = 0. 0, 1, 49 Let p be (38 - 24)*(-42)/(-36). Factor p*c**2 + 56/3*c + 16/3. (7*c + 4)**2/3 Suppose -4*f = -2*u + f - 21, 5*f = -4*u + 33. Suppose 0 = -5*d + 2*z + 10, 4*d - z = -u*z - 5. Find r such that -4/3*r + 2*r**3 + d + 10/3*r**2 = 0. -2, 0, 1/3 Let w(h) = -3*h**2 - 5*h. Let x(y) = -135*y + 12*y**2 - 5*y**2 + 146*y - 1. Let d(v) = -10*w(v) - 4*x(v). Factor d(s). 2*(s + 1)*(s + 2) Let i(c) = -37*c**3 - 2*c**2 - 2*c - 1. Let w be i(-1). Suppose 3 = 3*j - 2*l - 17, 5*j - 4*l - w = 0. Determine t so that -2*t**2 + 4*t - 4 - 2*t + j*t = 0. 1, 2 Let i(o) = 4*o**2 - 5*o - 4. Let s be i(4). Find a such that 40*a**2 - 2 + s*a**2 + 6*a - 77*a**2 - 7 = 0. -3, 1 Let f(j) = 2*j**2 + j - 2. Let a(h) = -2*h**3 - 20*h**2 + 16*h. Let l(b) = -2*a(b) - 12*f(b). Factor l(w). 4*(w - 1)**2*(w + 6) Suppose -16 = 29*w - 21*w. Let v be -4 - -1 - w/(-28)*-74. Factor 2/7*f**4 + 0 + v*f**2 + 8/7*f + 10/7*f**3. 2*f*(f + 1)*(f + 2)**2/7 Suppose 3*t = -3*p + 15, 3*t + 0 = 3. Let q(z) = 3*z - 9. Let o be q(p). What is d in -59 + 2*d**4 + 6*d**2 + 6*d**o + 2*d + 59 = 0? -1, 0 Suppose 2*z = 7 - 17. Let p(q) = 27*q**2 + 12*q - 3. Let h(u) = 11*u**2 + 5*u - 1. Let n(g) = z*p(g) + 12*h(g). Factor n(y). -3*(y - 1)*(y + 1) Let u(i) be the third derivative of -i**5/270 - 23*i**4/108 - 40*i**3/9 + 222*i**2. What is w in u(w) = 0? -15, -8 Let v(o) be the second derivative of -3/4*o**3 + 2*o + 3/8*o**4 - 3/40*o**5 + 0 + 3/4*o**2. Solve v(t) = 0. 1 Let m(f) be the second derivative of -3*f**3/2 - f**2/2 - 5*f. Let g be m(-1). Find c, given that -16*c**5 + 8*c - 8*c**4 + 7*c**3 - c**2 - g*c = 0. -1, 0, 1/4 Let t(p) = p**3 + 4*p**2 + 4*p - 4. Let u(n) = -2*n**3 - 10*n**2 - 10*n + 10. Let r = 5 - 17. Let w(a) = r*t(a) - 5*u(a). Let w(s) = 0. What is s? -1, 1 Let d(u) = u**3 + 18*u**2 + 35*u + 18. Let q(f) = 12*f**3 + 234*f**2 + 456*f + 234. Let b(g) = -27*d(g) + 2*q(g). Let b(z) = 0. Calculate z. -3, -2, -1 Suppose 4*a - 2 + 6 = 0. Let s(d) = -d**3 + 1. Let i(z) = -z**3 - 3*z**2 + 2*z + 2. Let g(v) = a*i(v) + 2*s(v). Find y such that g(y) = 0. 0, 1, 2 Let j(f) be the second derivative of -f**4/24 - 35*f**3/36 - 11*f**2/6 - 82*f. Find l, given that j(l) = 0. -11, -2/3 Let s(x) be the first derivative of 4*x**5 + 16*x**4 + 24*x**3 + 16*x**2 + 4*x - 311. Suppose s(k) = 0. What is k? -1, -1/5 Let q = 3331 - 50042/15. Let i = q + 16/3. Let 0 + 1/5*x**2 - 1/5*x**3 + i*x - 1/5*x**4 = 0. What is x? -1, 0, 1 Let j(b) be the second derivative of b**6/15 - 11*b**5/5 + 59*b**4/6 - 38*b**3/3 + 10*b + 2. Factor j(u). 2*u*(u - 19)*(u - 2)*(u - 1) Let v(g) be the second derivative of g**7/21 - 3*g**6/5 + 14*g**5/5 - 6*g**4 + 16*g**3/3 + 58*g. Factor v(n). 2*n*(n - 4)*(n - 2)**2*(n - 1) Factor 230*v + 1722 + 214 - 54*v + 4*v**2. 4*(v + 22)**2 Let w be -12*(-24)/192 + 5/2. Let h(c) be the third derivative of 0 - 5/24*c**w + 1/6*c**5 + 0*c**3 + 0*c - 4*c**2 - 1/24*c**6. Factor h(s). -5*s*(s - 1)**2 Let i = -11176321/105504 - 99/5024. Let w = i + 323/3. Factor -3/7 + 15/7*j**2 + w*j. 3*(j + 1)*(5*j - 1)/7 Let l = -21662/9 + 2408. Factor 4/3*x + 2/9*x**2 + l. 2*(x + 1)*(x + 5)/9 Suppose -11*p - 28 = 27. Let s be (-10 + 0)/(p*(-36)/(-45)). Factor 0 - 2*b**4 - b - s*b**2 + 11/2*b**3. -b*(b - 2)*(b - 1)*(4*b + 1)/2 Let g(p) be the second derivative of 32*p**5/5 - 8*p**4 + 4*p**3 - p**2 - 44*p. Let g(i) = 0. What is i? 1/4 Let u(s) = -s**2 - 13. Let i be u(6). Let p = i - -49. Factor -6/7*r**3 + 8/7*r - 2/7*r**4 + 0*r**2 + p. -2*r*(r - 1)*(r + 2)**2/7 Let u(k) be the second derivative of k**6/15 + 7*k**5/10 + 7*k**4/3 + 8*k**3/3 + 293*k. Determine j, given that u(j) = 0. -4, -2, -1, 0 Let r(w) be the third derivative of w**7/56 - 7*w**6/40 + 11*w**5/16 - 11*w**4/8 + 3*w**3/2 - 18*w**2. Find j, given that r(j) = 0. 3/5, 1, 2 Let i be -1535*((-45)/(-25) - 2). Let -84*x - 24*x - 378*x**3 + 12 + 20*x**2 + 147*x**4 + i*x**2 = 0. What is x? 2/7, 1 Let f(y) be the third derivative of -y**9/12096 + 5*y**8/4032 - y**7/336 - y**6/16 + 7*y**5/60 + 11*y**2. Let n(t) be the third derivative of f(t). Factor n(m). -5*(m - 3)**2*(m + 1) Let d(h) be the first derivative of -h**6/12 + 13*h**5/2 - 575*h**4/4 + 1535*h**3/3 - 2945*h**2/4 + 961*h/2 + 327. Solve d(t) = 0. 1, 31 Let u(t) be the third derivative of 19*t**7/120 + t**6/20 - 137*t**5/240 - t**4/4 + t**3/6 - 2*t**2 - 10. What is c in u(c) = 0? -1, -2/7, 2/19, 1 Let i(w) be the first derivative of 4*w**7/735 + w**6/140 - w**5/210 + 9*w**2/2 - 4. Let g(m) be the second derivative of i(m). Factor g(k). 2*k**2*(k + 1)*(4*k - 1)/7 Let d(q) = 7*q - 31. Let t(f) = -3*f + 15. Let s(h) = 2*d(h) + 5*t(h). Let k be s(11). Factor 44/3*y**k + 16*y**3 + 2/3 + 6*y**4 + 16/3*y. 2*(y + 1)**2*(3*y + 1)**2/3 Let l = -47 + 50. Solve -27*b**5 - 18*b**4 + 9*b**4 + 34*b**3 - 24*b - 12 + 18*b**3 - b**l + 21*b**2 = 0 for b. -1, -2/3, 1 Suppose -7*q - 2*a = -3*q - 52, a + 49 = 3*q. Suppose 3*g + 2*g - q = 0. Suppose 12*o - 12*o**g - 8 + 3*o**3 + 5*o**3 = 0. What is o? -2, 1 Let m(d) = -d**2 + 10*d - 9. Suppose 2*i = 7*i - 10. Let l(t) = 2*t - 2. Let s(o) = i*m(o) - 11*l(o). Find z, given that s(z) = 0. -2, 1 Let d(n) be the second derivative of 0 - 10*n + 1/105*n**6 - 11/21*n**3 - 1/14*n**4 + 3/70*n**5 - 6/7*n**2. Solve d(l) = 0. -3, -1, 2 Let s(c) be the first derivative of 5 - 1/4*c**2 - 1/24*c**6 - 7/16*c**4 - 11/24*c**3 + c - 17/80*c**5. Let u(z) be the first derivative of s(z). Factor u(d). -(d + 1)**3*(5*d + 2)/4 Let t(i) be the third derivative of 0 + 1/315*i**7 + 0*i**3 - 1/60*i**6 + 0*i + 1/30*i**5 - 1/36*i**4 + 20*i**2. Factor t(s). 2*s*(s - 1)**3/3 Let s(o) be the third derivative of 0*o - 1/840*o**8 + 0*o**4 - 2/525*o**7 + 1/300*o**6 + 1/75*o**5 + 4*o**2 + 0*o**3 + 0. What is v in s(v) = 0? -2, -1, 0, 1 Let k(h) be the second derivative of h**4/14 - 5*h**3/7 - 6*h + 13. Determine q so that k(q) = 0. 0, 5 Factor -1/5*r**5 - 44/5*r**4 + 0*r + 0*r**2 - 484/5*r**3 + 0. -r**3*(r + 22)**2/5 Let s = 34234 + -205403/6. Factor 0 + 2/3*i - s*i**3
{ "pile_set_name": "DM Mathematics" }
619. 618 What is the remainder when 662 is divided by 255? 152 What is the remainder when 13510984 is divided by 218? 216 What is the remainder when 3538 is divided by 155? 128 Calculate the remainder when 174041 is divided by 168. 161 Calculate the remainder when 101828 is divided by 164. 148 Calculate the remainder when 7103 is divided by 349. 123 What is the remainder when 1511 is divided by 353? 99 Calculate the remainder when 6522 is divided by 33. 21 What is the remainder when 10101 is divided by 722? 715 What is the remainder when 167570 is divided by 1180? 10 Calculate the remainder when 2113 is divided by 10. 3 Calculate the remainder when 16187 is divided by 248. 67 What is the remainder when 4168 is divided by 9? 1 Calculate the remainder when 133627 is divided by 44. 43 Calculate the remainder when 9449 is divided by 338. 323 What is the remainder when 126231 is divided by 1108? 1027 Calculate the remainder when 1694 is divided by 140. 14 Calculate the remainder when 203198 is divided by 196. 142 Calculate the remainder when 9748 is divided by 4859. 30 What is the remainder when 82001 is divided by 55? 51 Calculate the remainder when 158685 is divided by 348. 345 Calculate the remainder when 114106 is divided by 188. 178 Calculate the remainder when 15831 is divided by 16. 7 What is the remainder when 4022 is divided by 637? 200 What is the remainder when 163120 is divided by 4408? 24 Calculate the remainder when 8602 is divided by 26. 22 What is the remainder when 19650 is divided by 480? 450 What is the remainder when 109970 is divided by 232? 2 What is the remainder when 13585 is divided by 503? 4 What is the remainder when 1657028 is divided by 150638? 10 Calculate the remainder when 5956 is divided by 195. 106 Calculate the remainder when 9098653 is divided by 1654. 1653 What is the remainder when 706749 is divided by 514? 513 What is the remainder when 952 is divided by 912? 40 What is the remainder when 6558 is divided by 598? 578 What is the remainder when 1592 is divided by 173? 35 Calculate the remainder when 32523 is divided by 18. 15 What is the remainder when 2873 is divided by 57? 23 Calculate the remainder when 338553 is divided by 48364. 5 What is the remainder when 12708 is divided by 6196? 316 What is the remainder when 463085 is divided by 13? 12 What is the remainder when 147677 is divided by 95? 47 Calculate the remainder when 35781 is divided by 33. 9 Calculate the remainder when 143128 is divided by 14311. 18 Calculate the remainder when 79044 is divided by 11. 9 What is the remainder when 947 is divided by 395? 157 Calculate the remainder when 10805 is divided by 75. 5 What is the remainder when 55893 is divided by 58? 39 What is the remainder when 339648 is divided by 11712? 0 What is the remainder when 42655 is divided by 427? 382 What is the remainder when 14362 is divided by 798? 796 What is the remainder when 356892 is divided by 55? 52 Calculate the remainder when 2703 is divided by 13. 12 Calculate the remainder when 83483 is divided by 18. 17 Calculate the remainder when 243772 is divided by 32. 28 Calculate the remainder when 319099 is divided by 45584. 11 Calculate the remainder when 24415 is divided by 4883. 0 Calculate the remainder when 106251 is divided by 26562. 3 Calculate the remainder when 183623 is divided by 179. 148 What is the remainder when 1280 is divided by 256? 0 Calculate the remainder when 10979 is divided by 2742. 11 What is the remainder when 3530 is divided by 1750? 30 What is the remainder when 933 is divided by 168? 93 What is the remainder when 330 is divided by 312? 18 What is the remainder when 14819 is divided by 14808? 11 Calculate the remainder when 28239 is divided by 13. 3 What is the remainder when 1879 is divided by 224? 87 Calculate the remainder when 2766 is divided by 575. 466 What is the remainder when 15724 is divided by 14? 2 What is the remainder when 32530 is divided by 12? 10 What is the remainder when 14805 is divided by 148? 5 Calculate the remainder when 4421 is divided by 244. 29 Calculate the remainder when 15947 is divided by 523. 257 Calculate the remainder when 276127 is divided by 104. 7 What is the remainder when 4912 is divided by 408? 16 What is the remainder when 58474 is divided by 331? 218 What is the remainder when 55215 is divided by 8? 7 What is the remainder when 60261 is divided by 753? 21 Calculate the remainder when 81172 is divided by 8. 4 Calculate the remainder when 4816604 is divided by 24. 20 What is the remainder when 324 is divided by 102? 18 What is the remainder when 54233 is divided by 393? 392 Calculate the remainder when 944 is divided by 439. 66 Calculate the remainder when 63670 is divided by 84. 82 What is the remainder when 17509 is divided by 5834? 7 Calculate the remainder when 8040045 is divided by 1416. 1413 What is the remainder when 9960 is divided by 27? 24 What is the remainder when 13620 is divided by 7? 5 What is the remainder when 327691 is divided by 277? 0 What is the remainder when 29147 is divided by 60? 47 What is the remainder when 14691 is divided by 3672? 3 What is the remainder when 13353 is divided by 139? 9 What is the remainder when 19124 is divided by 683? 0 Calculate the remainder when 26322 is divided by 15. 12 What is the remainder when 180133 is divided by 7205? 8 What is the remainder when 2297023 is divided by 205? 203 What is the remainder when 45022 is divided by 238? 40 What is the remainder when 479718 is divided by 358? 356 Calculate the remainder when 8728 is divided by 8326. 402 Calculate the remainder when 23497 is divided by 513. 412 What is the remainder when 161406 is divided by 269? 6 Calculate the remainder when 136651 is divided by 23. 8 Calculate the remainder when 909 is divided by 209. 73 Calculate the remainder when 19704 is divided by 9. 3 What is the remainder when 25066 is divided by 12505? 56 What is the remainder when 5196 is divided by 103? 46 What is the remainder when 27606 is divided by 103? 2 Calculate the remainder when 1047 is divided by 160. 87 What is the remainder when 24634 is divided by 3518? 8 What is the remainder when 61679 is divided by 16? 15 What is the remainder when 10860 is divided by 28? 24 Calculate the remainder when 3037 is divided by 88. 45 What is the remainder when 3253 is divided by 1063? 64 What is the remainder when 5895 is divided by 185? 160 What is the remainder when 55261 is divided by 747? 730 What is the remainder when 116139 is divided by 37? 33 Calculate the remainder when 27305 is divided by 123. 122 Calculate the remainder when 417613 is divided by 628. 621 Calculate the remainder when 138994 is divided by 138970. 24 What is the remainder when 114579 is divided by 179? 19 Calculate the remainder when 37815 is divided by 3433. 52 Calculate the remainder when 4049 is divided by 2023. 3 Calculate the remainder when 185743 is divided by 1080. 1063 What is the remainder when 346 is divided by 44? 38 What is the remainder when 47574 is divided by 315? 9 What is the remainder when 309613 is divided by 74? 71 Calculate the remainder when 111970 is divided by 31. 29 Calculate the remainder when 1490264 is divided by 2565. 2564 Calculate the remainder when 59007 is divided by 42. 39 What is the remainder when 122316 is divided by 176? 172 Calculate the remainder when 38813 is divided by 27. 14 What is the remainder when 81617 is divided by 106? 103 What is the remainder when 12426 is divided by 33? 18 Calculate the remainder when 98154 is divided by 240. 234 What is the remainder when 91635 is divided by 526? 111 What is the remainder when 6179 is divided by 33? 8 What is the remainder when 551237 is divided by 251? 41 Calculate the remainder when 1461 is divided by 63. 12 What is the remainder when 348012 is divided by 5705? 7 Calculate the remainder when 19450 is divided by 556. 546 What is the remainder when 1120 is divided by 1120? 0 What is the remainder when 44203 is divided by 100? 3 What is the remainder when 3223 is divided by 628? 83 Calculate the remainder when 10601 is divided by 105. 101 What is the remainder when 2778 is divided by 964? 850 What is the remainder when 20808 is divided by 4927? 1100 Calculate the remaind
{ "pile_set_name": "DM Mathematics" }
944*w**2? 60*w**2 - 4800*w + 18 Find the first derivative of 13112*l - 7779. 13112 What is the third derivative of 6670*b**3*l**3 + 2*b**3 + 2160*b**2*l**3 wrt b? 40020*l**3 + 12 Find the first derivative of 456*a - 57. 456 Find the second derivative of 99*u**3 - u**2 - 4*u - 6 wrt u. 594*u - 2 What is the second derivative of 52*m**3*o + 2*m**2*o**2 + 4*m**2 + 201*m*o**2 wrt m? 312*m*o + 4*o**2 + 8 What is the third derivative of -3*l**3*p**3*z**3 + l**3*p**2*z**3 + 3*l**3*p + 43*l**2*p**2*z + 3*l*p*z**3 + 43*p**3*z**3 wrt p? -18*l**3*z**3 + 258*z**3 Find the third derivative of -872*c**3 - 34*c**2 + 4*c. -5232 What is the third derivative of -196*f**3*g - 15*f**2 - 2*f*g + 3*g wrt f? -1176*g What is the derivative of -3*z**4 - 552*z - 724? -12*z**3 - 552 Find the second derivative of -2863*l**2 + l + 2044. -5726 Find the third derivative of 331*m**5 + 487*m**2 wrt m. 19860*m**2 Differentiate -3*k**2*y**2 + 55*k**2*y - 3951*k**2 + k - 4*y**2 + 2*y + 1 with respect to y. -6*k**2*y + 55*k**2 - 8*y + 2 Find the third derivative of -o**3*p*v*z - 14*o**3*p*z - o**3*v*z + 2*o**2*p*v*z - 27*o*v*z + v*z wrt o. -6*p*v*z - 84*p*z - 6*v*z Differentiate -102*j**4 + j*w - 162*w with respect to j. -408*j**3 + w Differentiate 70*d + 182 wrt d. 70 Differentiate -2136*h + 392 wrt h. -2136 Find the first derivative of -c*p**2 + 2*c*p - 2486*c - 4*p**2 - 170*p + 1 wrt c. -p**2 + 2*p - 2486 Differentiate v**2 + 12*v + 88 wrt v. 2*v + 12 Differentiate l*t**3 + 7*l*t**2 - 296*l - 3*t**3 wrt t. 3*l*t**2 + 14*l*t - 9*t**2 What is the third derivative of -2*k**2*s**3 + 2*k**2*s + 39*k*s**3 + 128*s**2 wrt s? -12*k**2 + 234*k What is the third derivative of -25*b**4*o + 2*b**4 + 2*b**3*o**3 + 3*b**2*o**3 + 155*b*o**3 wrt b? -600*b*o + 48*b + 12*o**3 Find the third derivative of 2384*f**2*r**3 - 2*f**2 - f*r**3 + 406*f*r**2 - 2*r**3 wrt r. 14304*f**2 - 6*f - 12 What is the third derivative of -897*b**3 - 2*b**2 - 12 wrt b? -5382 What is the derivative of -117*d**2*u**4 + 2*d**2*u**3 - 114*d**2 wrt u? -468*d**2*u**3 + 6*d**2*u**2 Find the third derivative of -318*l**4 + l**3 - 475*l**2 wrt l. -7632*l + 6 What is the third derivative of g*o**3 - 2*g*o + 6*o**3 + 6*o**2 wrt o? 6*g + 36 Differentiate -91*i*s**4 - 3*i + 33 wrt s. -364*i*s**3 What is the third derivative of -898*g**4*w - 2*g**2 - 7*w - 4 wrt g? -21552*g*w Find the second derivative of 36*m**5*x**2 - 3*m**4*x**3 - 37*m*x**3 + 2*m*x + 13*x**2 wrt m. 720*m**3*x**2 - 36*m**2*x**3 Find the third derivative of -2*m**4 - 1893*m**3 + 9282*m**2. -48*m - 11358 Find the third derivative of -180*t**3*u + 93*t**2 + 2*u wrt t. -1080*u What is the third derivative of 1951*f**3*s**3 + 4*f**3*s**2 + 89*f**2*s**2 - f*s**3 wrt s? 11706*f**3 - 6*f What is the derivative of 10*m**2 + 12*m*v - 2741*v wrt m? 20*m + 12*v Differentiate -2*g*j*u**3 - 3*g*j*u - 54*j*u**3 + j*u**2 wrt g. -2*j*u**3 - 3*j*u Find the third derivative of g**6*y + 11*g**5 - 2*g**4*y + g**2*y + 14*g**2 - 2*g*y wrt g. 120*g**3*y + 660*g**2 - 48*g*y What is the second derivative of -m**4 + 856*m**2*x**3 + m*x**3 + 1343*m*x wrt m? -12*m**2 + 1712*x**3 Differentiate -119*f*o + 29*f + 13431*o wrt f. -119*o + 29 What is the second derivative of -1933*v**3 + 2195*v? -11598*v Differentiate -90*h*o - 13*h*x - 10*o**4*x - 2*o**4 - 2*x + 5 wrt o. -90*h - 40*o**3*x - 8*o**3 Find the second derivative of 504*a*c**2 + 2*a*c - 112*c wrt c. 1008*a What is the second derivative of -30*m**2 + 290*m wrt m? -60 What is the first derivative of -686*w + 6633 wrt w? -686 What is the first derivative of 1571*h**2 + 2250 wrt h? 3142*h Find the third derivative of -7*p**5*r - p**3*r*x - p**3*r - 231*p**2*r + p**2*x - x wrt p. -420*p**2*r - 6*r*x - 6*r What is the first derivative of -52*m**2 + 2*m*x**3 - 3*m - 6*x**3 + 13*x wrt m? -104*m + 2*x**3 - 3 What is the second derivative of -196*g**2 - 260*g wrt g? -392 What is the second derivative of -11*g**2*i**2 + 4*g**2*i - g**2 - 16*g*i - 40*i**2 wrt i? -22*g**2 - 80 What is the first derivative of -17*d**4 - d**2*r**2 + r**2 - 186*r wrt d? -68*d**3 - 2*d*r**2 Differentiate -9*i*j*m**3*r**2 - 3*i*j - i*m**3*r + j*m**3 + j*m**2*r**2 + 2*j*r**2 - 12*m**3 with respect to i. -9*j*m**3*r**2 - 3*j - m**3*r What is the second derivative of -9634*b**3*r**2 + 141*b**3*r + 9*b**2*r wrt r? -19268*b**3 What is the second derivative of 26*g**2 + 27*g? 52 Find the first derivative of 2415*w + 7851. 2415 Find the third derivative of -16*b*p**6 - 3*b*p**5 - 2*b*p**2 + 5*b*p + 15*p**2 wrt p. -1920*b*p**3 - 180*b*p**2 Find the third derivative of 3961*i**4 + 129*i**2 + 2*i + 1 wrt i. 95064*i What is the first derivative of 61*m**4 + m - 191? 244*m**3 + 1 What is the second derivative of -2*h**2*l*q - 5*h**2*q**3 - 3*h**2*q - 7*h*l*q**3 - h*l - 5*q**3 wrt h? -4*l*q - 10*q**3 - 6*q What is the second derivative of 149*d*h**2 - 32*d*h - 6 wrt h? 298*d What is the third derivative of -4*k**4*r + 14*k**4*y - 2*k**2*r*y - 12*k*r*y - 6*r + 3 wrt k? -96*k*r + 336*k*y Differentiate -127*q**3*s**3 - 5*q**3 - 2*q*s**3 - 36 wrt s. -381*q**3*s**2 - 6*q*s**2 Find the third derivative of 6144*d**5 - 13857*d**2 wrt d. 368640*d**2 Find the first derivative of -1223*c + 147 wrt c. -1223 Differentiate -6*o**3*w + 17*o**3 - 34*o**2*w - 18*o with respect to w. -6*o**3 - 34*o**2 Find the third derivative of -2*f*h**2*z**2 + 3*f*h*z**2 - 11*f*z**6 - f + 11*h**3*z**6 - 14*h**3*z wrt z. -1320*f*z**3 + 1320*h**3*z**3 Find the second derivative of 8*c*z**5 - 19*c*z**2 + 3*c*z + 4*c - 2*z - 16 wrt z. 160*c*z**3 - 38*c What is the first derivative of -4*r**2 - 10*r - 953 wrt r? -8*r - 10 Find the third derivative of -388*c**5 - 2*c**4 + c**3 + 2*c**2 - 8268 wrt c. -23280*c**2 - 48*c + 6 What is the second derivative of 8072*b**3 + 3507*b? 48432*b What is the second derivative of -668*u**5 + 267*u - 2 wrt u? -13360*u**3 What is the second derivative of -83*x**3 - 12*x - 1? -498*x What is the third derivative of -241*r**2*w**2*y**3 - 2*r**2*w**2*y - 6*r**2*w*y**2 + 4*r**2*y**3 + 1216*r*w wrt y? -1446*r**2*w**2 + 24*r**2 Find the third derivative of 12*h**4*i - h**4 + 12*h**3 - 6*h**2*i + 10*h*i + 2*i - 3 wrt h. 288*h*i - 24*h + 72 What is the third derivative of -2*i**4 - 10*i**3 - 2*i**2 - 12? -48*i - 60 Find the second derivative of 2*z**3 - 147*z**2 - 128*z + 2. 12*z - 294 Find the first derivative of -13*k*t*u**2 - 4*k + 193*t*u - 6*u**2 wrt k. -13*t*u**2 - 4 What is the second derivative of -857*v*y**3 + v*y - 2*y**3 + 627 wrt y? -5142*v*y - 12*y Find the first derivative of -195*b + 81 wrt b. -195 What is the third derivative of -9824*v**2*z**3 - 3*v**2*z - 2*v**2 + 2*v*z**2 - 72*z**2 wrt z? -58944*v**2 What is the third derivative of 1277*f**3*r**3*x**2 + 13*f**2*r**3*x**2 - 4*f**2*r**3 + 3*f**2*r**2*x - f*r**2*x**2 wrt f? 7662*r**3*x**2 Find the third derivative of 5*i**4 + 13*i**3*j**3 + i**2 + i*j**3 - 9*j wrt i. 120*i + 78*j**3 Differentiate 105*o**2*u*z + 4*o**2*u - 3*o**2*z - 182*u + 2*z with respect to z. 105*o**2*u - 3*o**2 + 2 Find the second derivative of 3*q**4*y**3 - 71*q**3 + 5*q*y**2 + 2*y**3 + 25*y**2 wrt q. 36*q**2*y**3 - 426*q What is the derivative of -b**3*d**2 - 1574*b**3 + 219*b**2*d**3 wrt d? -2*b**3*d + 657*b**2*d**2 Find the third derivative of 4869*x**3*y**5 - 6*x**3 - 137*x**2*y**2 wrt y. 292140*x**3*y**2 What is the third derivative of 60*y**5 - 2*y**2 + 3*y wrt y? 3600*y**2 Find the third derivative of -5*b**6 - 14*b**4 - 12*b**2 - 2 wrt b. -600*b**3 - 336*b Find the second derivative of 2*i**3*l**3 + 21*i**3*l - i**3 + i**2*l - 75*i*l**2 + 39*i*l + 11*l**3 wrt l. 12*i**3*l - 150*i + 66*l What is the second derivative of 2*i**2*o**3 + 3681*i**2*o**2 - i**2*o + 4*i*o**3 + 27*i*o**2 + 34*o**3 wrt i? 4*o**3 + 7362*o**2 - 2*o Find the third derivative of 127*i**5 + 141*i**2. 7620*i**2 Find the first derivative of -26*w**2 + 12*w - 912. -52*w + 12 Find the third derivative of 1247*o**3 - o**2 - 82*o. 7482 What is the third derivative of -5581*x**3 - 12915*x**2 wrt x? -33486 Differentiate 1312*l**4 + 2102. 5248*l**3 Find the first derivative of -2*k**2*m*n*u + 21*k**2*m + 2*k**2*n*u**2 + m*n*u**2 - 18*u**2 wrt m. -2*k**2*n*u + 21*k**2 + n*u**2 Find the second derivative of 168*d**2 - 38*d. 336 Find the second derivative of -27*z**3 + 37*z**2 + z + 188
{ "pile_set_name": "DM Mathematics" }
(-3*1)/(147/(-21)) 3/7 What is ((-9)/(90/50))/(-1)? 5 What is ((-22)/11)/(2/2)? -2 Calculate (-13)/52*1/(2/2). -1/4 Calculate 205/82*8/(-150). -2/15 (-22)/(-66)*-3*1 -1 (-1*(-3)/(-30))/((-9)/72) 4/5 What is the value of (((-24)/(-510))/((-3)/15))/2? -2/17 What is 3/21*245/14? 5/2 Calculate ((-18)/405)/(3/9). -2/15 What is ((-2)/4)/((-10)/(-20))? -1 Calculate (-28)/6*(-210)/1225. 4/5 What is the value of 288/240*(-10)/3? -4 Calculate (-14*(-2)/16)/((-2)/(-8)). 7 What is the value of -5*(-5)/15*3*-1? -5 What is ((-4)/6)/(10*(-8)/12)? 1/10 Evaluate (-12)/(-48)*-4*1. -1 (11/(-1320)*2)/((-4)/16) 1/15 Evaluate 1*6*2/12. 1 (-3*24/18)/(4/3) -3 What is the value of 3*(32/(-72))/(2/6)? -4 (-3)/12*2*15/60 -1/8 Calculate (-2)/(-4)*31/((-248)/48). -3 Calculate ((-2)/2*1)/(5/(-2)). 2/5 (-13)/((-78)/108)*(-3)/9 -6 ((-150)/400)/(2/16) -3 Evaluate (32/(-20))/(48/40). -4/3 Evaluate ((-14)/(-7))/((-2)/(-4)). 4 Evaluate ((-2)/(-8))/(2*3/(-24)). -1 Calculate ((-1)/2)/((-10)/(-30)). -3/2 What is the value of (9/((-288)/8))/((-3)/4)? 1/3 Evaluate 7*((-20)/(-60))/(14/24). 4 (2*(-3)/15)/((-6)/(-10)) -2/3 What is the value of 12/(-20)*(-2)/9? 2/15 Evaluate ((-3)/15*-2)/(44/(-220)). -2 Calculate (36/(-15))/(-3)*(-15)/(-42). 2/7 What is the value of (385/(-14))/11*2? -5 ((189/(-9))/(-42))/(10/28) 7/5 (54/12)/3*10/(-3) -5 Evaluate (1/3)/(1/(-3)). -1 Calculate (21/(-168))/((-2)/12). 3/4 What is the value of 0*2*1/(-2)? 0 Evaluate 15*28/3150*(-5)/(-8). 1/12 Calculate (-4)/(-10)*9/6. 3/5 Evaluate 8/(((-77)/(-7))/(-11)). -8 (-2)/12*-3*(-3)/6 -1/4 -2*-5*(-4)/40 -1 What is (4/(-12))/(21/(-36))? 4/7 ((-2)/5)/(22*(-9)/90) 2/11 Calculate ((-5)/9)/((-6)/(72/(-10))). -2/3 Calculate 0/(-2)*27/54. 0 What is the value of ((-63)/(-66))/21*2? 1/11 Evaluate (-3)/(-6)*1*36/(-6). -3 What is 2*(15/(-50))/3? -1/5 Calculate ((-7)/(-56)*12)/((-20)/(-8)). 3/5 What is the value of 80/60*(2/(-2))/3? -4/9 What is (-2)/(9*2/9)? -1 What is the value of (-2)/(-3)*9/(-6)*-1? 1 What is 2/((320/2)/(-8))? -1/10 What is the value of (3/2)/(-5*(-4)/8)? 3/5 What is 0*-4*(-2)/16? 0 Evaluate (-24)/(-4)*23/23. 6 What is (-1)/2*(-62)/155? 1/5 What is the value of ((-1)/2)/(-2*(-21)/(-12))? 1/7 1/(2/4*1*18) 1/9 What is the value of 18/3*2/(-21)*1? -4/7 What is the value of 62/(-93)*(-45)/(-6)? -5 10/(-12)*(-9)/(135/(-6)) -1/3 Calculate -4*7/420*6. -2/5 Calculate 0/(85/17*(-2)/(-5)). 0 Evaluate (-18)/(-45)*(-15)/24. -1/4 19/(-38)*(30/(-5))/12 1/4 ((80/(-75))/8)/(22/(-132)) 4/5 Evaluate -2*(-16)/(-24)*10/(-8). 5/3 What is the value of ((100/(-24))/(-25))/((-1)/2)? -1/3 What is (-728)/52*(-2)/4? 7 What is the value of (2/3)/(-2)*(-5)/5? 1/3 Evaluate (-20)/(-6)*(-63)/(-42). 5 What is the value of 9/2*(-11)/(330/20)? -3 (385/693)/((-2)/(-18)) 5 Evaluate (40/(-32))/((-2)/8). 5 Evaluate (3/(-3))/((130/(-30))/(-13)). -3 ((-9)/(-24)*4)/3 1/2 Calculate (20/(-60))/((-2)/30). 5 10/(-8)*-1*-1 -5/4 Evaluate -14*(50/20)/(-5). 7 What is the value of ((-1)/7)/(22/(-308))? 2 (6/27)/(4/(-72)*-3) 4/3 What is (70/14)/(12/4)? 5/3 Evaluate (15/(-150))/(-1*(-5)/60). -6/5 What is 12/(-25)*65/(-26)? 6/5 What is the value of (-7)/(-2)*(-80)/140? -2 Calculate 220/(-165)*(-2)/8. 1/3 (30/12)/((-4)/(-8)) 5 What is (4/(-12))/(16/(-144))? 3 What is 0*(-11)/((-110)/(-10))? 0 What is 4/((-2)/(-5*(-2)/5))? -4 Calculate (4/42)/((-1)/3)*1. -2/7 Evaluate 6/(-1)*10/270. -2/9 (-7*60/(-280))/(5/2) 3/5 Evaluate (-68)/238*(-14)/(-24). -1/6 Evaluate ((-6)/(-4))/(21/1386*11). 9 What is the value of (-5)/2*96/120? -2 10*6/60*(-5)/1 -5 Calculate ((-5)/5)/((-4)/18). 9/2 Calculate (1/(-10))/((-22)/55). 1/4 Calculate 0*1*-1*(-3)/3. 0 Evaluate (-8)/36*3*(-87)/(-116). -1/2 Evaluate 4/2*1/1*-2. -4 Calculate (3/((-315)/(-120)))/((-4)/14). -4 What is ((-12)/5)/((-7)/((-105)/6))? -6 What is ((-3)/(-28))/(-1)*(-217)/(-62)? -3/8 What is the value of (-2)/3*((-12)/(-32))/(-1)? 1/4 Calculate 1*(1/(-11))/(-1). 1/11 What is the value of (18/(-10))/(15/(-50))? 6 Calculate (((-81)/(-1))/(-3))/(-3). 9 15/50*(-48)/108 -2/15 What is 10/4*2/20? 1/4 (-130)/(-13)*4/8 5 What is the value of (-32)/20*(3/(-4))/(-3)? -2/5 Evaluate 7/(-2)*(-2)/28. 1/4 What is the value of (-10)/4*(8/12)/(-1)? 5/3 What is the value of 2/(((-12)/(-4))/3)? 2 Evaluate (-10)/(-8)*(-1)/(-5). 1/4 What is the value of -6*((-360)/27)/10? 8 What is -2*(-1)/(-8)*(-20)/15? 1/3 (-16)/6*(-2)/((-120)/45) -2 What is the value of -1*(-12)/9*39/26? 2 ((-75)/(-400))/((-2)/(-4)) 3/8 What is -1*(-3)/3*(-36)/(-36)? 1 What is the value of (3/7)/((-32)/112)? -3/2 ((-6)/9)/(18/(-27)) 1 What is (1*-4)/((-5)/(35/4))? 7 6/(-48)*-4*-6 -3 48/(-75)*30/(-12)*-5 -8 (((-18)/(-30))/((-4)/(-10)))/(-6) -1/4 Calculate (((-6)/(-18))/((-2)/(-30)))/(-1). -5 Evaluate (1/5)/((-8)/8)*15. -3 (-11)/(2057/34)*(-11)/13 2/13 What is (6/4*1)/(6/(-20))? -5 Calculate 8/30*14*24/896. 1/10 What is -4*3/99*(-129)/86? 2/11 What is the value of ((-6)/9)/((-6)/(-9))? -1 What is the value of (24/(-252))/(3/(-42))? 4/3 What is ((36/63)/(1/7))/(-2)? -2 6/84*(-4)/4*4 -2/7 Evaluate 3/((68/(-408))/((-2)/(-9))). -4 (236/(-72))/(-59)*3/(-1) -1/6 ((-3)/(-9))/(3/(-54)) -6 (3*(-3)/(-405))/((-2)/(-12)) 2/15 What is ((-6)/28)/(-3*3/6)? 1/7 What is the value of 112/32*(-24)/28? -3 What is (-1)/((-4)/16*-1)? -4 What is the value of ((-9)/(-15))/((-9)/6)? -2/5 8/(-24)*(-6)/10 1/5 Evaluate 24/(-16)*3/9. -1/2 Calculate (4*(-1)/(-2))/((-18)/(-18)). 2 Evaluate (-6)/6*2/2. -1 What is the value of ((210/4)/35)/((-6)/4)? -1 What is the value of (-10)/(-15)*(-6)/62? -2/31 Calculate (-9)/(-6)*(-8)/6. -2 Evaluate -5*2/5*-2. 4 Evaluate (63/(-126))/(19/(-4)). 2/19 What is the value of ((-30)/20)/(3*2/(-8))? 2 What is the value of (8/14)/(-4)*-2? 2/7 ((-28)/(-50))/7*(-5)/1 -2/5 What is the value of 0*((-20)/(-12))/(-5)? 0 What is ((-4)/((-8)/(-10)))/((-46)/(-92))? -10 Calculate -15*(-2)/(-6)*-1. 5 What is 14/(-30)*82/(-287)? 2/15 Evaluate -4*(-3)/(((-24)/4)/1). -2 Evaluate ((-1)/3)/((-74)/(-74)). -1/3 What is the value of (3/(-5))/(9/(-10))? 2/3 What is the value of ((-6)/2)/(((-420)/14)/6)? 3/5 What is 104/(-130)*(-1)/(-2)*-5? 2 Evaluate ((-35)/28)/(2/8). -5 Evaluate 0*1*5/5. 0 What is (1/6)/(12/(-144))? -2 What is the value of (-4)/(-8)*1*-2? -1 What is the value of ((-4)/3)/(-10*7/(-210))? -4 Calculate (-2)/(-1)*2/(-12). -1/3 What is ((-20)/(-10))/((-6)/2)? -2/3 What is (-35)/(-147)*6/5? 2/7 What is ((-4)/(24/(-9)))/((-363)/44)? -2/11 ((-14)/(-35))/(24/(-15)) -1/4 Calculate (6/(-21))/((-40)/14)*-8. -4/5 ((-15)/25)/((-4)/(-20)) -3 (-1)/15*-3*180/504 1/14 What is the value of (((-66)/40)/11)/((-6)/15)? 3/8 What is (-1*3/12)/(6/8)? -1/3 What is (4/20)/((-8)/(360/(-27)))? 1/3 What is the value of (4/(-4))/(5/(250/10))? -5 What is the value of (-32)/168*3/2? -2/7 (-35)/7*5/(75/6) -2 (-2)/7*(-63)/42 3/7 Calculate (-4)/(-10)*(-30)/(-108). 1/9 Calculate ((-4)/1*(-31)/62)/28. 1/14 What is (-4)/6*(-48)/(-224)? -1/7 Evaluate 35/(-35)*1/(-9). 1/9 Evaluate (-1)/((-3*4/12)/1). 1 Calculate 564/235*25/(-110). -6/11 Calculate ((-2)/(-20))/(((-2)/16)/1). -4/5 What is the value of (1/3)/((-11)/(-6))? 2/11 Evaluate (-3)/(10/(20/21)). -2/7 What is the value of (-118)/(-295)*20/18? 4/9 Evaluate (4/6)/((-14)/(-3)*-1). -1/7 What is the value of (-20)/(-6)*1*30/(-125)? -4/5 Evaluate ((-145)/174)/(1/(-6)). 5 What is the value of (27/(-108))/(7/(-8))? 2/7 Evaluate (45/9)/(5/2). 2 What is the value of (0/((-24)/(-6)))/(2*1)? 0 261/29*(-4)/(-6) 6 Evaluate (-2)/(-8)*54/45*5. 3/2 (-7)/2*25/70 -5/4 What is (2/(-21))/((-30)/70)? 2/9 What is the value of 33/(1188/(-120))*(-3)/2? 5 Evaluate (((-224)/(-798))/16)/(1/(-6)). -2/19 Evaluate 12/30*5/(-3). -2/3 What is the value of (-5)/30*3*(-10)/1? 5 What is the value of 3/(-2)*((-8)/3)/(-1)? -4 What is the value of (2/6)/(((-16)/(-36))/4)? 3 21/14*(-2)/(-1)*-2 -6 Calculate 5*7/420*4. 1/3 15/(-210)*7/(-2) 1/4 Evaluate ((-3)/9)/((-45)/30*-1). -2/9 What is the value of (-3)/((-1)/1)*5/(-20)? -3/4 What is the value of (-18)/(-24)*-1*4*1? -3 (-4)/(-6)*(-7)/(42/27) -3 What is (-3)/2*(-16)/(-24)? -1 Calculate (106/2862)/(-1*(-1)/(-3)). -1/9 What is ((-224)/728)/((-2)/3)? 6/13 Calculate ((-105)/(-105))/((-2)/(-10)). 5 (20/8)/5*3/(-3) -1/2 What is ((-2)/8)/((-387)/(-344))? -2/9 What is (-6)/(-8)*(-232)/29? -6 (-1*(-6)/10)/((-102)/(-85)) 1/2 What is the value of (-72)/(-54)*(25/
{ "pile_set_name": "DM Mathematics" }
-8*f**3 Expand (-3*i**2 - i + 3*i**2 - 45*i**4)*(3*i - 2*i + i). -90*i**5 - 2*i**2 Expand (-j**2 - j**2 - j**2)*(39*j - 4*j**2 - 39*j). 12*j**4 Expand (-5 + 2 + 5)*(-2*l + 0*l - 2*l). -8*l Expand (4*g + 0*g - 2*g)*(5*g + 2*g - 3*g) + g**2 + 0*g**2 + g**2. 10*g**2 Expand -m + m - m + (5 - 1 - 5)*(-3 + m + 3) + 3 - 3 + 2*m + (m + 4 - 4)*(-2 - 2 + 5) + 3*m - 3*m + 2*m. 3*m Expand (3 + 8 + 4)*(2*r - r + 0*r)*(4*r**4 - 3*r**4 + 3*r**4). 60*r**5 Expand (0 + 0 - x + (-4*x + 2*x + 0*x)*(-3 + 2 + 0))*(5 - 4 - 3)*(-6 + 0 - 1). 14*x Expand -1 + 1 + f**3 + (-2*f + 4*f - 3*f)*(-58*f**2 - 264*f + 264*f). 59*f**3 Expand (1 - 1 - 2*z)*(1 + 2*z**2 - 1) + (2*z**3 + 4*z**3 - 2*z**3)*(2 + 0 + 0). 4*z**3 Expand (-1 - 2*x + 1)*(204 + 38*x - 204). -76*x**2 Expand -p**4 - 5 + 2*p**4 + 3 - 4*p**4 + 0*p**4 + 5*p**4 + (2*p**4 + 0*p**3 + 0*p**3)*(1 - 1 - 2). -2*p**4 - 2 Expand (0 + b + 0)*(0*b**2 + 2*b**2 + 4*b**2). 6*b**3 Expand (2 - 3 + 4)*(-1 - q + 1) + (-6 + 2 + 3)*(-2*q + 11*q + 0*q). -12*q Expand (4*z + z - 3*z)*(-16*z + 6*z + 9*z + 156). -2*z**2 + 312*z Expand (-s + 2*s - 3*s)*(-2*s**2 + 4*s**2 - 3*s**2 + (2*s + 0*s + 0*s)*(2*s - s - 3*s) + 211 - 6*s**2 - 211). 22*s**3 Expand (1 - 1 + 2*r)*(0*r**3 - r**3 + 0*r**3) + r**4 + 0*r**4 + 0*r**4 + 14*r**4 + r**4 - 7*r**4. 7*r**4 Expand (-2*b - 2*b - b)*(-1 - 1 + 3) + 2*b + 0*b + 0*b. -3*b Expand (0 - 3 + 5)*(-1 + 3 - 3)*(-2*p**2 + 2*p**2 - 6*p**3 + (-p**2 - p**2 + 3*p**2)*(p - 3 + 3)). 10*p**3 Expand 2*s**2 - 3*s**2 + 2*s**2 + (-2*s - 3*s + 6*s)*(-9*s + 0 + 0). -8*s**2 Expand 2*p - 3*p + 4*p + p - 5*p + 2*p - 2*p - 1 + 1 + (2 - 2 + 2*p)*(-2 + 2 - 2) + 1 - 2*p - 1 + 0 + 0 - p - 3 + 3 - 5*p + 0*p - 4*p + 2*p. -15*p Expand (-5*i + i + 5*i)*(-i**2 - 5*i**2 + 4*i**2) - 2*i - i**3 + 2*i. -3*i**3 Expand (-1 + 1 - 2*p - p - p + 0*p + (-3*p + 0*p + 2*p)*(3 + 2 - 4) - p + 2 - 2)*(0*p + p + p). -12*p**2 Expand (5*h**2 + 3*h**2 - 3*h**2)*(-h**3 + 3*h**2 - 3*h**2) - h + h - h**5. -6*h**5 Expand (-3*g**2 + 3*g**2 - 6*g**2)*(-3*g**2 + 2*g**2 + 0*g**2). 6*g**4 Expand (-o - o**2 + o)*(1 + 3 - 2)*(2*o - 5 + 5)*(3*o**2 - 2*o**2 + 0*o**2). -4*o**5 Expand (0*w**2 + w**2 - 2*w**2)*(-5*w + 5*w + w) - 4 - w**3 - 4*w**2 + 0 + 2*w**2. -2*w**3 - 2*w**2 - 4 Expand (-5*u + 6*u + 0*u)*(17*u - 1 + 6 - 15*u). 2*u**2 + 5*u Expand l**3 + 4*l**3 - 4*l**3 + (3*l**3 + 0*l**3 - 2*l**3)*(1 - 3 + 0). -l**3 Expand (3*b**2 + 10*b**2 - 5*b**2)*(-3*b - 3*b**3 + 3*b). -24*b**5 Expand (3*x**3 - 3*x**3 + 2*x**3)*(-10*x - x - 2*x) - 3*x**4 + 0*x**4 + 0*x**4. -29*x**4 Expand ((5 - 2 - 4)*(0 - 1 + 3) - 1 - 3 + 2 + 2 + 0 + 1)*(r**2 + 2*r**3 - r**2). -2*r**3 Expand -1 + 2*a + 1 - 5*a + 2*a + 2*a + (-2 + 2 - a)*(-1 - 1 + 4) + 2 - 2*a - 2 - 3*a + 4*a + a. -a Expand (-4*c**2 + 5*c**2 - 2*c**2 + 4*c**2 - c**2 - 2*c**2 - 2*c + 2*c + c**2 + (3*c + 2*c - 3*c)*(0*c + 5*c - 4*c) - 61*c + 61*c + c**2)*(0*c + 2*c - c). 4*c**3 Expand (-7 + 0*o + 8 - 3*o)*(0 - 7 - 1) - 4*o + 4*o - 2*o. 22*o - 8 Expand (-6 + 3*n - 2*n + 2)*(0 - 4 + 3). -n + 4 Expand (4*q**2 - q**2 + 0*q**2)*(-3*q**2 + 6*q**2 - q**2)*(0*q - q + 2*q)*(-1 - 3 + 6). 12*q**5 Expand ((s + 2 - 2)*(-s + 0*s - s) + 0*s**2 - 4*s**2 + 2*s**2)*(s - s + 5*s). -20*s**3 Expand (11*n + 20*n + 0*n)*(4 - 3 + 1). 62*n Expand (-2*t - 2*t + 5*t)*(-1 + 0 - 2) - 5*t + 5*t - 2*t. -5*t Expand (4 + 3*f - 4 + (1 + 3 - 2)*(-3*f + 2*f - f))*(5*f - 3*f - 3*f - 2*f + 3*f - 3*f - f + 4*f - f + (0 + 1 + 1)*(-1 + 2*f + 1) - 3 + f + 3 - 2*f + 1 - 1). -2*f**2 Expand (-1 + 46 + 14)*(-2*r + 2*r - r). -59*r Expand (0*c**2 - c**2 - c**2 + (-2*c + 3*c + c)*(2 - c - 2) + 0*c**2 + c**2 + 0*c**2)*(-242 - 87*c**2 + 242). 261*c**4 Expand (-u - 3 + 3)*(-8 - 5 - 3) + u + 2*u - 4*u. 15*u Expand g**2 - 2*g**2 + 0*g**2 + (-g - 2*g + g)*(-2 + 2 - g) + 3*g**2 - 3*g**2 + 2*g**2. 3*g**2 Expand 0*c**4 + 4*c**4 - 6*c**4 + (c**2 - c**2 + 2*c**3)*(10*c - 16*c + 8*c). 2*c**4 Expand (n + 2*n - 4*n)*(2 + 3 - 2). -3*n Expand -12*r - 6*r + 20*r + 4 + 3*r - 4*r + 0*r + (2*r - 2 + 2)*(-5 + 2 + 4). 3*r + 4 Expand 4 - 1 - 6 + 5*m + (m - 3*m + 4*m)*(-2 + 1 + 3) - 6*m + 3*m + 4*m + m + m - m. 11*m - 3 Expand (3*o - o + 0*o)*(-o + o + 2*o**3) + (0*o**4 - o**4 + 0*o**4)*(-2 - 1 + 2) + (4*o - 3*o - 4*o)*(0 + 0 + 2*o**3) + 4*o - 3*o**4 - 4*o. -4*o**4 Expand g**2 + g**2 - 4*g**2 + (-27*g + 1 + 18*g + 8*g)*(4*g - 3*g + 0*g). -3*g**2 + g Expand 3*w**3 + 0*w**3 - 2*w**3 + (2*w**2 + 3 - 3)*(0*w - w + 2*w) - w**3 + w**3 - w**3. 2*w**3 Expand 18*l - 18*l + 16*l**2 - l**2 - 3*l**2 + 3*l**2 + (0 + 0 + 2)*(-2*l**2 + 0*l**2 + 0*l**2). 11*l**2 Expand (-6 + 2 + 2)*(-5*t - 5 + 5)*(-2*t**4 - 1 + t**4 + 4*t**4). 30*t**5 - 10*t Expand -2*h**5 - 4*h**5 + 4*h**5 + (-7*h**3 + 6*h**3 + 3*h**3)*(-2*h**2 - h**2 + 2*h**2). -4*h**5 Expand (-11*i**4 + 3*i**4 + 0*i**4)*(-i + 4 - 5 + 0). 8*i**5 + 8*i**4 Expand 2*t**3 + 2*t**3 - 5*t**3 + (-5*t**3 + 3*t**3 + 0*t**3)*(-5 - 1 + 1) - 4*t**3 + 3*t**3 - 2*t**3. 6*t**3 Expand (-2*i + 3*i + 4 - 7)*(-2*i + 2*i - 4*i**4). -4*i**5 + 12*i**4 Expand 2*q**5 - 2*q**5 - 3*q**5 + (-2*q**2 + 297*q - 297*q - 1)*(-q**3 + q**2 - q**2). -q**5 + q**3 Expand 2 - l**5 - 2 + 0*l**2 + 0*l**2 + l**5 + (-l**4 + 2 - 2)*(0*l + 3*l - l) - l**3 + 2*l**3 - l**5 + 17*l**5. 14*l**5 + l**3 Expand (-3*h**2 + h**2 + 20 - 15)*(-2*h + 2*h - h**3). 2*h**5 - 5*h**3 Expand (2 - 2 - 2*l**2)*(4*l + 0*l + 0*l)*(-1 + 3 + 0). -16*l**3 Expand 0*c - c + 0*c + (-5 + 4 - 3)*(0 - 1 - 1)*(1 + c - 1). 7*c Expand (-2*p**4 + 5*p**3 - 5*p**3)*(7 + 7 - 5) + (-3*p - 2*p + 2*p)*(-2*p**3 + p - p). -12*p**4 Expand (3*s - 3*s - s**2)*(-4 + 1 + 2)*(-1 - s + 1 + (-4 + 3 - 2)*(3*s - 4*s - s)). 5*s**3 Expand 4*z**2 - 2*z**3 - 4*z**2 + (-6*z**2 + 0*z**2 + 4*z**2)*(-1 + 1 + 2*z) + 0*z - z**3 + 0*z + 6*z**3 - 4*z**3 - 3*z**3. -8*z**3 Expand (1 + 2 - 5)*(u - 4*u**3 + u**3 - 2 + 0*u**3). 6*u**3 - 2*u + 4 Expand (-2*m - 4*m + 5*m)*(3*m**3 - 4*m**3 + 2*m**3) - 3*m**4 - 3*m + 3*m - 2*m**4 + 3*m - 3*m + (-4*m - m + 4*m)*(2*m**3 + 0 + 0) + 4*m**2 - 4*m**2 - m**4. -9*m**4 Expand (2*q + 3*q + 0*q)*(-q**2 - 3*q**2 + 2*q**2). -10*q**3 Expand (-2*r + 2*r + r)*(6*r - 4*r - r) + (-2 - 2 + 3)*(-2*r + 2*r**2 + 2*r) + 3*r - 3*r - r**2 + 2 - 2 - 2*r**2. -4*r**2 Expand -3*w + 8*w + w + (-2 - 1 + 5)*(-w + 3*w + 0*w) + 2*w - 1 + 1 + 2*w - w + w. 14*w Expand (-4*q**4 + 0*q**4 - 2*q**4 + q**4 - 3*q + 3*q - 2 + 2 + 2*q**4 + (2*q**2 + 3*q**2 - 6*q**2)*(-q**2 + 0*q + 0*q))*(3 - 2 - 2)*(-2 + 1 - 2). -6*q**4 Expand -4*n - 4*n**2 - 2*n**2 - n**2 + (2*n + 2 - 2)*(2*n - 5*n + 2*n). -9*n**2 - 4*n Expand (-17 + 17 - 11*u**3 + 0*u**3 - 4*u**3 + 3*u**3 + (u**3 - 3*u**2 + 3*u**2)*(-1 - 1 + 0))*(-3*u + 0 + 0). 42*u**4 Expand (0 + u**3 + 0 + (0*u**3 + u**3 + u**3)*(6 - 2 - 2) - 4*u**3 - 2*u**3 + 0*u**3)*(-3*u**2 - u**2 + u**2). 3*u**5 Expand (3*p - 16*p - 4*p)*(1 + 1 + 0) + 4*p - p - 2*p + 0 + p + 0 - p + 2 - 2 + (4*p - 2*p - 3*p)*(-2 - 4 + 4) + 2*p - p + p + p + 2 - 2. -28*p Expand -8*c**4 + 2*c**3 - 2*c**3 + (-2*c - 3 + 3)*(2*c**3 - 2*c**2 + 2*c**2). -12*c**4 Expand (-2 - 5 + 6)*(3 - 2 + 2)*((-2 + 2 + 1)*(a - 3*a + a) - 2*a + 3*a - 4*a)*(1 - 2 + 11). 120*a Expand (-8*q + 6*q**3 + 8*q)*(0*q + q - 6*q). -30*q**4 Expand (2 - j - 2)*(4*j**2 + 4*j**2 - 5*j**2)*(-2*j**2 - j**2 + 4*j**2). -3*j**5 Expand (-2 + 0 + 7)*(-1 - t + 1). -5*t Expand (-2*v - 2*v + 6*v)*(-19 + 8*v + 19). 16*v**2 Expand (4 + 5 - 3)*(-3*c + 2*c + 2*c)*(2*c**2 - c + c). 12*c**3 Expand (-6*j**2 + j**2 + 3*j**2)*(j - 5*j + 3*j). 2*j**3 Expand (-1 + 15 - 2)*(0*l - l + 2*l)*(2*l**3 - 5*l**3 + 2*l**3). -12*l**4 Expand (3*d - 3*d + d**2)*(-4 + 4 + d) + (0*d + 0*d - d**2)*(-4*d - 3*d - d). 9*d**3 Expand 2 - 2 - 2*f**3 + f**3 - 1 + 1 + (0*f + 0*f + f**2)*(5*f - f - 2*f) - 14*f + 2*f**3 + 14*f. 3*f**3 Expand (3*x - 5*x + 0*x)*(-2 + 2 - 2*x) + (0*x + 2*x - x)*(-2*x + 6*x - 2*x) + 3*x - 3*x + 4*x**2 + 4*x - 2*x**2 - 4*x. 8*x**2 Expand (s - s - 2*s + s**2 + 2)*(-11 + 4*s**2 + 11). 4*s**4 - 8*s**3 + 8*s**2 Expand -9*r**2 - 2*r**3 + 2*r + 9*r**2 + 5*r**3 - 3 + 3 + (4*r - 3*r - 2*r)*(r**2 + 2*r**2 - 5*r**2) + 0*r**2 + 0*r**2 - r**3. 4*r**3 + 2*r Expand -3*n**5 - 5*n**5 + 4*n**5 - 2*n**2 + 3*n**2 - 2*n**5 - 3*n**2 + (2*n**5 - n**2 + n**2)*(2 - 2 + 2). -2*n**5 - 2*n**2 Expand 7874*y - 4*y**3 - 7873*y - 4*y**4 - 3*y**3 - 2*y**4 + 0 + 0 + (4 - 4 + y)*(-2 - y**3 + 2). -7*y**4 - 7*y**3 + y Expand -q**2 + 2*q - 2*q + (2 - 2 - 4*
{ "pile_set_name": "DM Mathematics" }
+ a and give v. 2 Express 6 - 39329*y**2 + 39329*y**2 + y**3 as b*y + j*y**2 + f + p*y**3 and give p. 1 Express -2*h - 5 - 66*h**4 + h**3 - 4*h**2 - 3*h**2 + 24*h**4 + 10*h**2 + 3 in the form b + v*h**4 + q*h**3 + c*h**2 + z*h and give v. -42 Rearrange (-7*s**2 + 7*s**2 + 10*s**4)*(-4 + 1 + 5) - 115*s**3 + 115*s**3 - 9*s**4 to y + w*s**3 + p*s**2 + h*s + f*s**4 and give f. 11 Rearrange (0 + 1 + 2 + (-6 + 2 + 2)*(-1 + 7 - 3) + 1 + 0 - 3)*(43*t**3 - 146*t + 146*t) to the form s + v*t**2 + w*t + r*t**3 and give r. -215 Express (13*s - 6*s - s)*(1 + 0 + 1)*(-387 + 71 + 18) as k + q*s and give q. -3576 Express (-4*i**2 + 5*i**2 - 8*i**2)*(-4*i**2 - 4 + 4) + (i**3 - 2*i**2 + 2*i**2)*(i - 13 + 18 - 9) in the form w*i + l*i**3 + u*i**2 + p + z*i**4 and give l. -4 Express -3182824 - 2605*y + 3182824 in the form n*y + z and give n. -2605 Express (-6 - 1 + 1 + (2 - 3 + 0)*(1 - 2 - 1))*(-12*a - 11*a - 12*a) in the form x + m*a and give m. 140 Rearrange 8 - 9*c**2 - c**3 + c - 12 - 11 - c**3 + 8*c**2 to the form s*c + j*c**3 + d*c**2 + p and give p. -15 Rearrange -1 + 1 - p**2 - 203*p**2 + 78120*p - 78120*p + (2*p**2 + p**2 - 2*p**2)*(-3 + 3 - 1) + p**2 - p**2 + 2*p**2 to the form k + o*p**2 + q*p and give o. -203 Express (-4 + 4 + 1)*(-10*i + 9*i + 12*i)*(3 + 2 + 6)*(-i + 0*i - i) + 8*i + 5*i**2 - 8*i in the form p*i**2 + g + s*i and give p. -237 Express -7*j - 38*j**3 - 29*j**3 + 31*j**3 - 5*j in the form z*j**2 + b*j**3 + u + h*j and give h. -12 Express 0*p**4 - 2 + 29*p**3 - 6*p**3 + 3 + 0 + p**4 as x + o*p + h*p**2 + z*p**3 + g*p**4 and give z. 23 Rearrange -598*w**3 - 2*w**4 + 8*w**4 - 560*w**2 - 3*w**4 - 4*w**4 + 599*w**3 to n*w**4 + x + l*w + r*w**3 + f*w**2 and give r. 1 Express 140*o - 475*o - 197*o in the form f*o + y and give f. -532 Rearrange -75*g**4 - 38*g**2 - 4 + 39*g**2 - 27*g**4 to l*g**4 + a*g + i + r*g**3 + u*g**2 and give i. -4 Rearrange (-3 + 4 - 5)*(-3*q + 6 - 6) + (3*q - 4*q + 4*q)*((-1 - 2 + 4)*(-1 + 3 - 4) - 5 + 2 - 2) to the form n + g*q and give g. -9 Rearrange 5*t**2 - t**2 - 1120*t + 1132*t to u*t + h + o*t**2 and give u. 12 Express -24*p**2 - 3*p + 81*p**2 - 10*p**2 + (-3 - 1 + 2)*(-1 - 2 + 2)*(p**2 - 6*p**2 + p**2) in the form g + x*p + k*p**2 and give k. 39 Rearrange -388*o + 58445 - 58445 - 172*o + (1 + 1 - 1)*(-1 + 1 + 2*o) to the form z*o + c and give z. -558 Express -3*t**2 + 7*t**2 - 3*t**2 + (-33 + 5 - 5)*(7*t - 7*t**2 - 7*t) as b*t + s + q*t**2 and give q. 232 Rearrange 88 - 20 - 68 - 2*v - 555*v**2 to r*v**2 + p*v + x and give r. -555 Express (21 - 9 - z**3 + 2*z + z**2 - 7)*(98*z - 153*z + 93*z) in the form h + c*z**3 + b*z + q*z**4 + d*z**2 and give q. -38 Express (-20 + 20 + 5*m)*(7 + 2*m + 2 + 11 - 27) as q*m + d + j*m**2 and give j. 10 Rearrange -1128*p - 3 + 3*p**2 + 1128*p - p**2 to b + q*p**2 + d*p and give q. 2 Express (-5*z + 2*z + z)*(495 - 451*z + 497 - 989) as i*z + j*z**2 + r and give j. 902 Rearrange 8*d**2 - 2*d**2 + 6*d**2 - 10*d**2 + 195 to the form f*d + w*d**2 + o and give w. 2 Rearrange 0*a + 0*a + 16 + 7*a**2 - 12 - 9 to d*a**2 + o*a + k and give k. -5 Express (-442 + d**2 - 39*d + 31*d + 230)*(-2*d**2 - d**2 + 5*d**2)*(3 - 2 + 1) as a*d**2 + s*d**4 + m*d**3 + j*d + y and give a. -848 Express g**3 + 58 - 2*g**4 + 106 - 157 as s*g**3 + q + k*g**2 + y*g + t*g**4 and give k. 0 Express (101*k + 1168 - 8*k - 1147)*(k - 2*k + 0*k) in the form m*k**2 + s*k + z and give s. -21 Rearrange (-15*w - 1 + 3*w + 10*w)*(222 + 20 + 64) to the form t*w + m and give t. -612 Express 444*u**2 - 890*u**2 + 447*u**2 + 57*u as o*u**2 + s*u + j and give s. 57 Express -522 + x**2 + 3*x**2 - 7*x**2 + 4*x**2 as m + d*x**2 + p*x and give d. 1 Rearrange 249 - 2*h + 301 + 21 + 21 to the form t + u*h and give u. -2 Rearrange 1 + 1 - 2*j**3 - 77*j**2 + 37*j**2 + 37*j**2 - j to m*j + t + c*j**3 + x*j**2 and give t. 2 Rearrange (3 - 6 + 1)*(4*n + n - n)*(-104*n + 77*n + 56*n) to q*n + o*n**2 + a and give o. -232 Express 140*t + 198*t - 38*t as y + v*t and give v. 300 Express 186*q + 0 - 6 + 6 + 0 in the form w + c*q and give c. 186 Rearrange (2*j**3 + 7*j**3 - 4*j**3)*(2*j - 11 + 11 + 6) to the form t*j**3 + m + z*j**4 + p*j**2 + d*j and give z. 10 Express u**4 - 204 - u**2 + 5*u - 8*u**3 + 419 - 2*u - 213 as v + o*u + j*u**3 + y*u**4 + f*u**2 and give f. -1 Rearrange (29*f**3 - 41*f**2 + 41*f**2)*(-10 - 14 - 40 + 11) to k*f**2 + d*f + i + w*f**3 and give w. -1537 Express (0*n + 0*n - 2*n)*(4 + n**2 - 4)*(132 - 145 - 169) in the form j*n**3 + x*n + s*n**2 + l and give j. 364 Express 2*i**3 - 9*i - 162 + 4*i**2 - 2*i**2 + 0*i + 8*i in the form s + m*i + u*i**3 + l*i**2 and give m. -1 Rearrange (1 + 2 - 1)*(-2*g - 1 + 1)*(2*g + 0*g**2 - 36 + 7*g**2 - 5*g**2) to the form u + h*g + y*g**3 + f*g**2 and give f. -8 Express 2*h - 2*h**2 + 13*h**2 - h - 2*h - 1 in the form j*h + p*h**2 + w and give w. -1 Rearrange (-j - 3 + 3)*(5 + 4 + 6) + 3*j + 2*j - 4*j + (2*j - j + 0*j)*(23 + 27 - 11) - 2 - j + 2 to the form p*j + r and give p. 24 Express 1104*q**3 - 40*q + 1 + 1105*q**3 - 2208*q**3 in the form f*q**3 + k + y*q**2 + n*q and give f. 1 Express (0 + 0 + 2*g)*(2*g**2 - g**2 + 0*g**2) + 2*g**3 + 11*g**3 - 2*g**3 - 204 + 204 - 39*g**3 as p*g**3 + l*g + k + u*g**2 and give p. -26 Rearrange (-8 - 2 - 1)*(2*q - 2*q + q)*(5 - 11 + 10)*(-2*q - 2*q + 6*q) to the form c + i*q**2 + p*q and give i. -88 Express 4*s - 12*s - 14*s + (9*s + 28*s - 12*s)*(1 + 3 - 3) in the form r + w*s and give w. 3 Express (0*u**2 - 2*u**3 + 0*u**2)*(-94 + 13 - 110) as f*u**2 + m*u**3 + h*u + i and give m. 382 Rearrange (-4*c**2 + 4*c**2 - 2*c**2)*(134 - 93*c**2 + 159*c**2 - 68*c**2)*(2 - 1 - 2) to b + m*c**4 + t*c + a*c**3 + h*c**2 and give m. -4 Express (-2 - 4 + 5)*(1 + 2*i - 1) + 741*i + 2431 - 4870 + 2439 as f*i + l and give f. 739 Express (2*y**2 - 2*y**2 + 2*y**2)*(5 + 0 - 4) - 32 - 34*y**2 - 39*y**2 + 42 in the form s*y + d + q*y**2 and give q. -71 Express (4*z**2 + 0*z**2 + 0*z**2)*(-22 - 1 + 0)*(2 + 0 - 4) as k*z**2 + y*z + t and give k. 184 Express (-2*m**4 + 4*m**4 + m**4)*(4 - 12 - 63) as t*m**4 + a*m**3 + r + q*m + c*m**2 and give c. 0 Rearrange (8 + 1 + 1)*(-13 - 2*u + 13 + (-5 + 7 + 1)*(-u + 2*u + u)) to the form t*u + d and give t. 40 Rearrange (-2*w - w**2 + 2*w)*(-w + 18*w + 4*w)*(2*w + 3*w + w) to the form l*w**4 + j*w + x*w**3 + m*w**2 + p and give l. -126 Rearrange -72*a - 54404*a**2 + 54406*a**2 - 276*a to j*a**2 + m + z*a and give m. 0 Express -142*o - 46*o + 106*o - 369*o in the form m*o + l and give m. -451 Express 491 + 10*r - 244 + 9*r**2 + 31*r - 247 + 2*r**3 as x + m*r**3 + t*r + l*r**2 and give m. 2 Rearrange 549*p + 539*p - 1096*p + 13*p**2 to x*p + l*p**2 + n and give x. -8 Rearrange (2*i**2 - 3*i**2 + 0*i**2)*(4*i - 5*i + 0*i) + (-218 + 42 - 535)*(i**2 - i**2 + 2*i**3) to z*i**2 + x*i**3 + y*i + n and give z. 0 Express 3*m**4 - 6*m + 0*m**4 + 2 - m**3 + 7*m**2 - 6*m**2 + m**3 in the form q*m**3 + x*m + j*m**2 + n + w*m**4 and give w. 3 Express 26 + 7*n**3 - 26 + 66*n**2 - 2*n**3 - 4*n**3 as p*n + b + m*n**3 + t*n**2 and give m. 1 Rearrange 3*i + 631*i + 192*i to x + m*i and give m. 826 Rearrange -2*f**3 - 37*f**2 - 33*f**2 - 33*f**2 + 102*f**2 + 308*f - 2 - 34*f to the form w*f + b*f**2 + h*f**3 + l and give h. -2 Express 3091*g**3 - 3108*g**3 - 2*g + 4*g + 2 as p*g + d*g**2 + m*g**3 + j and give p. 2 Rearrange -10 + 13*m + 7 + 0 + 5 - 5 to the form k*m + g and give g. -3 Express 11*r**4 + 0*r**3 - 2*r**4 + 2*r**3 + 20 - 2*r**2 - 5*r**4 in the form x*r**4 + i*r + w*r**2 + o*r**3 + k and give x. 4 Rearrange -50*o**3 - 59*o**2 + 2 + o - 62*o**2 + 189*o**2 - 68*o**2 to j + v*o**2 + a*o + h*o**3 and give a. 1 Express 9*x**3 + 4*x**4 - 12*x**3 + 7*x**3 + 46 - 3*x**4 in the form n*x + j*x**2 + u*x**4 + g*x**3 + f and give f. 46 Rearrange -25*p + 41*p - 39*p + 267*p to the form w + y*p and give y. 244 Rearrange (8*t**3 + t**3 - 4 + 7)*(-7 - 20 + 7) to the form w*t + s + z*t**3 + n*t**2 and give z. -180 Rearrange 0*c**3 + c**3 - 3*c**3 + 3 + c**3 - 3 + (-c**3 + 2*c**3 + 0*c**3)*(-22 + 70 + 73) to y*c**2 + d*c**3 + p + n*c and give d. 120 Express 4*m**2 + 0*m - m + 3*m**4 + 44 - 51 - 2*m**2 as q*m**2 + b + x*m**4 + s*m + o*m**3 and give q. 2 Express (13 - 14 + 12)*(-q + 2*q + 2*q)*(14 + 2 - 6) as c*q + i and give c. 330 Rearrange (-18*c
{ "pile_set_name": "DM Mathematics" }
ctor of p? True Let v = 4 + -2. Let j(x) = -x + 6*x - v*x. Does 13 divide j(17)? False Let d = 2 + -5. Let b be d/4*8/(-3). Suppose -5*l = -0*l + 5*z - 170, -b*z = -l + 25. Does 14 divide l? False Suppose o = v + v + 1, 4*o = -5*v + 30. Suppose v*x - 4*d = 88, 4*x - 43 - 88 = -d. Does 17 divide x? True Let j = 1051 - 431. Suppose 2 = -f + 5*d + 132, 5*d - j = -4*f. Does 25 divide f? True Let b(s) = s**2 - 4*s - 1. Is b(8) a multiple of 10? False Let n = 1015 - 183. Is n a multiple of 13? True Suppose 4*f + 22 = 82. Suppose j + f = -5*c, -4*j - 8 = 5*c + 7. Suppose -i + 3*i - 52 = j. Is i a multiple of 13? True Let w be 1/1*(4 + -5). Let i = -7 + w. Is 19/1 + (i - -7) a multiple of 6? True Let h = -18 + 20. Suppose 5*l + 60 = -h*s + 821, -5*s + 449 = 3*l. Does 33 divide l? False Let m(s) = -s**2 + 3*s - 4. Let n be m(2). Is 141/21 + n/(-7) a multiple of 7? True Let s = 120 + -243. Let p = -82 - s. Is 14 a factor of p? False Let j = 9 - 6. Let o(h) = 12*h**2. Let c be o(-2). Suppose 0 = j*s - 3*b - 87 - c, 0 = -s + 4*b + 36. Is 7 a factor of s? False Let m = -589 + 955. Is 6 a factor of m? True Suppose 0 = v + 4*v. Suppose 0 = u - v - 5. Suppose -u*x + 2*x + 27 = 0. Is x a multiple of 5? False Let h(a) be the second derivative of a**5/10 + 5*a**4/3 + 8*a**3/3 + 6*a**2 - 28*a. Is 15 a factor of h(-9)? True Let f = 35 + -18. Suppose -f + 56 = 3*h. Does 9 divide h? False Suppose 36*r - 48*r + 7176 = 0. Is 26 a factor of r? True Let w = -16 + 16. Suppose w = -h - 3*h + 16. Is (-1)/h*(-33 - 11) a multiple of 11? True Suppose -o + 2*z - 2 = 0, 0*o - z + 1 = 3*o. Suppose 0 = 3*w + m - 141, 3*w - m + 3*m - 138 = o. Is 16 a factor of w? True Suppose 25298 + 36927 = 25*z. Is 19 a factor of z? True Let d = -554 - -946. Suppose -2*s - d = 4*z + z, 332 = -4*z + 3*s. Is (z/(-30))/((-2)/(-6)) a multiple of 2? True Let g = -18 - -20. Let z(v) = 2*v**3 + 2*v**2 + v + 1. Is 3 a factor of z(g)? True Suppose 7*i - 12 = -4*q + 9*i, -2*i = q - 13. Suppose -191 = -q*j + 109. Does 15 divide j? True Suppose 6*k = 2*k + 16. Suppose -k = -q, 19 = 2*o + 3*o + q. Suppose 6 = -o*z + 123. Is z a multiple of 13? True Let h be (2/(-6))/(2/66). Let b = h + 14. Let q = b - -39. Is 14 a factor of q? True Let g(j) = j - 5. Let s be g(8). Let v be -2 + 6/s - -144. Suppose -8*k + 4*k + v = 0. Is k a multiple of 9? True Let k = 3381 - 2136. Is 83 a factor of k? True Suppose 5*o - 8 = -3*g - 33, 2*o = 3*g - 10. Suppose -f + 14 + 5 = g. Does 6 divide f? False Suppose -2*k + 0*k = 3*b - 36, -5*b - 5*k + 55 = 0. Is 10 a factor of -4 + 174/42 + 1398/b? True Let g(z) = z**2 + 14*z + 27. Let x be g(-12). Does 21 divide (210/(-8))/(x/(-12))? True Let k(x) = x**3 + 3*x**2 - 3*x - 4. Let u be k(-3). Suppose 3*z - 12 = 4*z - u*n, -n - 12 = -2*z. Is 3 a factor of z? False Is (-32)/64*(-73 - 3/(-1)) a multiple of 5? True Let z(b) = b**3 - 2*b + 288. Let r be z(0). Is (16/6)/(8/r) a multiple of 32? True Let i = -23 + 27. Suppose -4*y = 4*v - 32, 2*y - 3*y = -i*v + 17. Suppose j = -0 + 2, -y*s + 4*j + 22 = 0. Is s a multiple of 6? False Let o(n) be the second derivative of n**5/2 + n**4/24 - 2*n**2 + 3*n. Let u(m) be the first derivative of o(m). Is 11 a factor of u(1)? False Let s = 567 - -504. Suppose 5*x - 364 - s = 0. Does 31 divide x? False Let z(u) = 18*u**2 + 8*u + 43. Is z(-7) a multiple of 9? False Let l = -94 + 282. Is 15 a factor of l? False Suppose 29*n = 3*n + 6630. Is 15 a factor of n? True Suppose 3*b + 5*j = 2*j + 1635, 2*j = -3*b + 1636. Does 14 divide b? True Let m(k) = -4*k - 47. Let h(v) be the first derivative of -v**2/2 - 12*v + 4. Let b(y) = -9*h(y) + 2*m(y). Does 7 divide b(8)? False Suppose -698 - 38 = -4*x. Is 8 a factor of x? True Let t(b) = 403*b + 2*b**2 - b**2 - 388*b + 17 - 1. Is t(-16) a multiple of 16? True Let a = 3121 + -878. Is a a multiple of 26? False Let a = -982 + 2053. Is a a multiple of 21? True Suppose -5*i + 471 + 126 = h, 0 = i + 1. Does 14 divide h? True Let a(d) = 3*d - 5. Let v be a(7). Suppose 0 = v*y - 11*y - 495. Is y a multiple of 37? False Suppose 58*w + 728 = 62*w. Is 14 a factor of w? True Suppose -c = -2*b - 49, 3*b = -2*b - 2*c - 127. Let r = b + 235. Is r a multiple of 42? True Suppose 4*c - 233 = -53. Suppose c = -2*a + 231. Does 19 divide a? False Suppose -23 = -2*a + 3*g + 4, -5*a + 81 = -3*g. Let q = -16 + a. Is (q/4)/(3/78) a multiple of 13? True Suppose 6*s - 8*s - a = -1749, 3*a = -4*s + 3499. Is s a multiple of 23? True Let z = -11 - -15. Suppose -26 = -z*o - 10. Suppose -5*b + 224 = -o*g, 2*b - 116 = -3*g - 2*g. Is 8 a factor of b? True Suppose -2*r + 17 = -55. Let l = 111 + r. Does 21 divide l? True Let w = 22 + -140. Let d = w - -173. Does 11 divide d? True Let x = 60 + -57. Is 22 a factor of (9/6)/(x/366)? False Suppose 0 = y + 3 - 1. Let c(p) be the second derivative of 19*p**4/12 + p**3/6 - p**2 - 2*p + 6. Does 18 divide c(y)? True Suppose 162 = -0*x + 2*x. Let m = 146 - x. Does 17 divide m? False Suppose v - 2*v - 56 = 0. Let x = -39 - v. Let f = x - -6. Is f a multiple of 7? False Is (-816)/(-32)*(-56)/(-6) a multiple of 14? True Suppose 0 = 5*w - 3 - 27. Let i(x) = 4*x**2 - 7*x - 12. Is 18 a factor of i(w)? True Let n(g) = 232*g - 2. Does 46 divide n(1)? True Let a be (-5)/(-35)*-2 + 12/(-7). Does 10 divide 1 - a - (25/(-5) - 30)? False Let b = -44 - -106. Let m = -19 + b. Does 10 divide m? False Let w be (-1 - 8)/3 + 60. Suppose 3 = 3*d - 6. Suppose d*q + 0*q = w. Is q a multiple of 8? False Suppose 5994 + 4566 = 40*h. Is 42 a factor of h? False Suppose 3*q = 4*l - 557, l + q = -0*l + 141. Is 7 a factor of l? True Let s(v) = 2*v**2 + 4*v - 12. Suppose -5*l - 28 = -2*n + 3*n, 2*l + 4*n = -22. Let j be s(l). Is 13 a factor of ((-22)/3)/((-3)/j)? False Let m = -111 - -113. Suppose -m*i = 3*x - 161, i = -3*x - 2*i + 159. Is 7 a factor of x? False Let x(s) = -2*s**2 + 16 + 2*s + 22 + 31*s**2 - s**3. Is x(29) a multiple of 11? False Let h be (-589)/2 - (-6)/12. Let x = 468 + h. Suppose -3*g + 5*g = x. Does 23 divide g? False Let u = -271 + 431. Let d = 366 - u. Does 45 divide d? False Let u(k) = k**3 - 22*k**2 - 76*k + 36. Does 11 divide u(25)? True Let s = -3 - -3. Let v be 2*(-3*(-2)/12 + 2). Let l = v - s. Does 2 divide l? False Let p be -5 - (-2)/1 - (-12)/4. Suppose -z + w + 49 = 0, p*z + w - 139 = -3*z. Is 31 a factor of z? False Does 16 divide 104/(-12)*1566/(-36)? False Suppose 4*a = a + 57. Let h = a - 19. Suppose -2*x + 4*n = -123 - 97, -2*x + 5*n + 223 = h. Is 26 a factor of x? True Does 6 divide (-6)/(0 + -1) - (-134 + -46)? True Suppose -2*c + 14 = -2. Suppose -4 = j - c. Suppose j*z + 9 = 77. Is z a multiple of 6? False Let a = -1408 + 2020. Does 6 divide a? True Let n(y) = 39*y - 23. Does 52 divide n(15)? False Let z(n) = n**2 + 3*n - 8. Let c be z(-6). Let t(v) = -3 + v**2 + 2 - 4*v + 0 - 2. Is 19 a factor of t(c)? True Let x = 552 - -1879. Is x a multiple of 11? True Let g(d) = -2*d - 4. Let v be g(-6). Is (v + -10)*(-426)/4 a multiple of 26? False Let l(z) = z**3 - 7*z**2 - z + 832. Does 52 divide l(0)? True Let i = 74 + -72. Let x = 1 + 1. Suppose 5*f + 385 = i*l + 3*l, 5*l = x*f + 394. Does 21 divide l? False Let j = 12 - 9. Let g be 169 + (j - 7)/2. Suppose t - 22 - 31 = -h, -3*h + g = -5*t. Does 22 divide h? False Suppose 6*q - 20 = q. Let r = 81 - 78. Suppose 0 = q*z - z + r*j - 27, 3*z - 45 = 3*j. Is 4 a factor of z? True Let t = 32 - 27. Suppose t*b + 4*h - 3*h = 20, b - 2*h = 15. Suppose 6 - 81 = -b*r. Does 3 divide r? True Suppose -4*j - 5*u = -3966, -5*u + 3*u = -2*j + 1974. Is j a multiple of 14? False Suppose p = u - 40, -4*p + 114 = 2*u + 22. Suppose 3*b - 17 = 22. Let i = u - b. Does 19 divide i? False Suppose 74*r - 1869 = 71*r. Is r a multiple of 35? False Suppose 5*q = 5*g + 560, -22*q + 2*g = -18*q - 442. Does 9 divide q? False Let v = 67 - 64. Suppose v*o = -3*k + 459, -2*k + 0*o + 4*o + 318 = 0. Is 16 a factor of k? False Let c(f) = 16*f - 12. Let o be c(-6). Let s = o + 226. Does 18 divide s? False Let l(x) = x**2. Suppose -4*w - 57 = -5*q, 2*w - 6*w = q + 27. Does 5 divide l(w)? False Let u(b) = -b**3 - 12*b**2 + 150*b + 7. Is 8 a factor of u(-21)? False Let x = 1782 - 1223. Is x a multiple of 75? False Let q(r) = 28*r + 359. Is 3 a factor of q(-5)? True Let w = -62 - -138. Let p = w +
{ "pile_set_name": "DM Mathematics" }
are there between 1:05 AM and 1:38 AM? 33 What is 688 minutes after 3:58 PM? 3:26 AM What is 556 minutes after 11:01 PM? 8:17 AM How many minutes are there between 12:21 PM and 8:15 PM? 474 What is 322 minutes before 1:48 AM? 8:26 PM What is 530 minutes after 9:41 AM? 6:31 PM How many minutes are there between 5:57 AM and 10:17 AM? 260 What is 493 minutes before 3:06 PM? 6:53 AM What is 52 minutes after 1:13 AM? 2:05 AM How many minutes are there between 5:07 AM and 5:06 PM? 719 What is 446 minutes after 6:34 PM? 2:00 AM What is 120 minutes before 11:53 PM? 9:53 PM What is 707 minutes after 10:23 AM? 10:10 PM How many minutes are there between 3:28 AM and 8:02 AM? 274 What is 672 minutes after 7:39 PM? 6:51 AM How many minutes are there between 9:13 PM and 6:41 AM? 568 What is 480 minutes after 11:00 PM? 7:00 AM What is 304 minutes after 8:33 PM? 1:37 AM What is 250 minutes after 11:51 AM? 4:01 PM What is 130 minutes before 2:22 AM? 12:12 AM How many minutes are there between 5:46 AM and 5:03 PM? 677 What is 585 minutes before 7:28 PM? 9:43 AM What is 578 minutes before 7:59 AM? 10:21 PM What is 547 minutes before 10:33 PM? 1:26 PM How many minutes are there between 3:19 AM and 12:55 PM? 576 What is 559 minutes before 7:25 PM? 10:06 AM How many minutes are there between 5:57 AM and 11:22 AM? 325 What is 153 minutes before 2:41 AM? 12:08 AM How many minutes are there between 8:16 PM and 7:45 AM? 689 How many minutes are there between 11:34 AM and 7:00 PM? 446 What is 231 minutes before 10:49 PM? 6:58 PM How many minutes are there between 5:57 PM and 2:18 AM? 501 How many minutes are there between 11:34 AM and 10:04 PM? 630 How many minutes are there between 4:22 PM and 11:31 PM? 429 What is 482 minutes after 10:25 AM? 6:27 PM How many minutes are there between 2:29 PM and 4:48 PM? 139 How many minutes are there between 3:54 AM and 1:49 PM? 595 What is 9 minutes after 8:17 PM? 8:26 PM How many minutes are there between 6:09 PM and 1:03 AM? 414 What is 502 minutes after 8:44 PM? 5:06 AM What is 197 minutes after 12:11 AM? 3:28 AM What is 485 minutes after 5:25 PM? 1:30 AM What is 27 minutes after 11:14 PM? 11:41 PM What is 705 minutes after 5:04 AM? 4:49 PM What is 612 minutes before 5:38 AM? 7:26 PM How many minutes are there between 9:00 AM and 9:51 AM? 51 How many minutes are there between 7:22 PM and 1:56 AM? 394 What is 399 minutes after 8:14 PM? 2:53 AM What is 303 minutes before 3:16 AM? 10:13 PM What is 237 minutes after 1:53 PM? 5:50 PM What is 195 minutes after 3:11 PM? 6:26 PM How many minutes are there between 8:56 PM and 8:40 AM? 704 What is 324 minutes before 9:21 PM? 3:57 PM What is 135 minutes before 10:27 AM? 8:12 AM How many minutes are there between 1:56 AM and 9:20 AM? 444 What is 472 minutes after 10:04 PM? 5:56 AM What is 547 minutes after 8:48 AM? 5:55 PM How many minutes are there between 6:47 PM and 2:48 AM? 481 What is 458 minutes before 5:52 AM? 10:14 PM How many minutes are there between 2:09 AM and 5:20 AM? 191 How many minutes are there between 12:12 PM and 5:57 PM? 345 What is 697 minutes before 8:48 PM? 9:11 AM What is 135 minutes after 1:06 PM? 3:21 PM What is 300 minutes before 8:17 AM? 3:17 AM What is 103 minutes after 12:31 AM? 2:14 AM What is 700 minutes before 12:21 PM? 12:41 AM What is 474 minutes before 9:45 PM? 1:51 PM How many minutes are there between 1:28 AM and 2:50 AM? 82 What is 246 minutes before 10:36 PM? 6:30 PM What is 315 minutes before 1:19 PM? 8:04 AM How many minutes are there between 4:10 PM and 10:55 PM? 405 What is 526 minutes before 6:55 PM? 10:09 AM How many minutes are there between 10:28 AM and 6:10 PM? 462 What is 414 minutes after 8:53 AM? 3:47 PM How many minutes are there between 2:02 PM and 2:38 PM? 36 How many minutes are there between 11:26 PM and 3:37 AM? 251 What is 543 minutes before 10:01 PM? 12:58 PM What is 454 minutes before 9:50 AM? 2:16 AM How many minutes are there between 11:30 PM and 7:57 AM? 507 What is 470 minutes after 9:50 PM? 5:40 AM How many minutes are there between 10:55 PM and 11:01 PM? 6 What is 354 minutes after 5:03 AM? 10:57 AM What is 466 minutes before 1:30 PM? 5:44 AM What is 97 minutes after 1:45 PM? 3:22 PM What is 549 minutes before 2:16 PM? 5:07 AM What is 181 minutes before 5:47 PM? 2:46 PM What is 238 minutes after 2:57 PM? 6:55 PM What is 488 minutes before 5:58 AM? 9:50 PM How many minutes are there between 6:23 PM and 9:08 PM? 165 What is 610 minutes after 12:17 AM? 10:27 AM How many minutes are there between 5:04 AM and 2:53 PM? 589 What is 283 minutes after 9:24 AM? 2:07 PM How many minutes are there between 6:16 AM and 3:46 PM? 570 How many minutes are there between 3:47 AM and 3:33 PM? 706 What is 503 minutes before 9:16 PM? 12:53 PM How many minutes are there between 4:46 AM and 5:40 AM? 54 How many minutes are there between 8:56 PM and 5:19 AM? 503 How many minutes are there between 5:28 AM and 11:00 AM? 332 How many minutes are there between 11:21 PM and 7:33 AM? 492 What is 462 minutes before 1:29 PM? 5:47 AM What is 130 minutes before 6:44 AM? 4:34 AM How many minutes are there between 6:06 AM and 10:55 AM? 289 What is 374 minutes before 1:51 PM? 7:37 AM How many minutes are there between 7:38 AM and 10:11 AM? 153 How many minutes are there between 5:48 AM and 11:25 AM? 337 How many minutes are there between 10:12 AM and 4:25 PM? 373 What is 439 minutes before 6:24 PM? 11:05 AM What is 315 minutes before 5:35 PM? 12:20 PM What is 71 minutes after 9:10 PM? 10:21 PM How many minutes are there between 1:35 PM and 4:07 PM? 152 What is 135 minutes before 11:21 AM? 9:06 AM What is 152 minutes before 7:33 AM? 5:01 AM How many minutes are there between 6:29 PM and 4:57 AM? 628 How many minutes are there between 1:17 AM and 7:12 AM? 355 What is 665 minutes after 10:57 PM? 10:02 AM What is 416 minutes after 4:00 PM? 10:56 PM What is 136 minutes after 8:27 PM? 10:43 PM What is 543 minutes before 5:52 PM? 8:49 AM How many minutes are there between 3:26 PM and 5:27 PM? 121 What is 317 minutes after 6:34 AM? 11:51 AM What is 255 minutes before 4:26 AM? 12:11 AM How many minutes are there between 5:29 AM and 6:05 AM? 36 What is 700 minutes after 11:24 AM? 11:04 PM What is 203 minutes before 5:35 AM? 2:12 AM What is 104 minutes before 10:49 PM? 9:05 PM What is 91 minutes before 9:35 PM? 8:04 PM What is 592 minutes before 12:36 PM? 2:44 AM What is 454 minutes after 3:20 PM? 10:54 PM What is 96 minutes before 10:35 PM? 8:59 PM What is 444 minutes before 11:12 AM? 3:48 AM What is 266 minutes before 10:00 AM? 5:34 AM What is 655 minutes after 9:07 AM? 8:02 PM What is 556 minutes before 4:35 AM? 7:19 PM How many minutes are there between 12:16 AM and 8:21 AM? 485 What is 463 minutes before 12:47 AM? 5:04 PM How many minutes are there between 2:43 AM and 12:55 PM? 612 How many minutes are there between 8:03 AM and 5:59 PM? 596 What is 103 minutes before 9:11 PM? 7:28 PM How many minutes are there between 11:19 AM and 9:03 PM? 584 How many minutes are there between 11:40 AM and 10:45 PM? 665 How many minutes are there between 6:31 AM and 10:14 AM? 223 What is 149 minutes before 3:57 AM? 1:28 AM How many minutes are there between 12:39 AM and 12:19 PM? 700 How many minutes are there between 5:06 AM and 9:02 AM? 236 What is 63 minutes after 4:57 AM? 6:00 AM What is 303 minutes before 1:22 PM? 8:19 AM What is 38 minutes before 2:35 PM? 1:57 PM What is 249 minutes after 1:45 AM? 5:54 AM How many minutes are there between 12:36 AM and 12:08 PM? 692 How many minutes are there between 12:46 PM and 2:54 PM? 128 What is 607 minutes after 8:58 PM? 7:05 AM What is 414 minutes before 3:43 PM? 8:49 AM How many minutes are there between 9:22 PM and 8:59 AM? 697 What is 473 minutes after 1:22 PM? 9:15 PM How many minutes are there between 2:00 AM and 2:41 AM? 41 How many minutes are there between 2:09 PM and 3:31 PM? 82 How many minutes are there between 2:44 PM and 10:03 PM? 439 What is 300 minutes after 1:13 AM? 6:13 AM How many minutes are there between 9:30 AM and 5:04 PM? 454 How many minutes are there between 12:15 AM and 8:03 AM? 468 What is 172 minutes after 10:07 PM? 12:59 AM What is 647 minutes before 2:06 AM? 3:19 PM What is 141 minutes before 9:13 AM? 6
{ "pile_set_name": "DM Mathematics" }
u = 4 + -5. Let d(c) = -c. Let a(k) = 12*k. Let f(i) = -a(i) - 9*d(i). Let t be f(u). Solve 0 = 2*v + v + t*l + 24, 4*l + 14 = 2*v for v. -3 Suppose -4*t - 3*t = 0. Suppose t = 2*o + 3*o - 3*w - 38, 3*w = -5*o + 32. Solve 9 = n - 4*p - o, -5*p = 3*n + 20 for n. 0 Suppose -17*y = -4*y - 39. Suppose -3*s - 2*o + 5 = 0, 6*o - 3*o = -s - y. Solve -m + 5 = -s*i, 3*m - 5*i + 0 = 7 for m. -1 Let c be (-1)/3 - 21/(-9). Let w(q) be the third derivative of -5*q**4/12 - 13*q**3/3 - 31*q**2. Let b be w(-3). Solve -v = -y, 2*y + v + c = -b for y. -2 Let a(k) be the first derivative of -k**3/3 + 8*k**2 + 15*k + 7. Let f be a(16). Solve -3*r - 10 = 2*w, -39 = 5*r - 4*w - f for r. -4 Let p be (-27)/90 + (-453)/(-10). Let t be ((-6)/8)/((-1)/20). Let b = p - t. Solve -5*z + 2*j + 16 = 0, 4*z + j + 12 = b for z. 4 Let u be ((-28)/3)/(0 + 2/(-3)). Suppose -s - v - v + u = 0, -3*s = -2*v - 2. Solve -5*h = 10, 4*h + 5 = s*f - 3 for f. 0 Let n = 1902 + -1900. Solve 5*i + 7 = g - 0, n*i = -3*g - 13 for i. -2 Let a be (-24)/18 + (-4)/(-3). Solve 4*d - 6*d = a, 4*k + 16 = -d for k. -4 Let t = 76 + -73. Suppose -3*h - 43 = 5*p - 7, -39 = 3*p - 4*h. Let q = t - p. Solve 0 = -3*y - q, -4*z + 7 = -z - y for z. 1 Suppose -5*n = 45 - 145. Let l be 1/2*(-10 + n). Solve -4*o = 4*v + 16, -2*o - 4 = -l*o + 5*v for o. -2 Let j be (-13)/(-5) - ((-49)/35 - -2). Solve j*z - 4*y = -z + 17, -5*z - 4*y - 25 = 0 for z. -1 Let w(q) = q**3 + 15*q**2 - 6*q + 14. Let k be w(-15). Suppose -49 - k = -9*p. Let c = p - 17. Solve c*a - 4*j + 24 = -a, -2*j = a - 6 for a. -4 Let v be 0*((-2)/4 + 1). Let f(n) = -n**3 + 15*n + 5*n**3 + 3*n**3 - 8*n**3 - 11 + 13*n**2. Let h be f(14). Solve h*j + 4*b = v, -3*j - b - 2 - 7 = 0 for j. -4 Let x be (9/3 + 5)*9/12. Let f = -12 + 16. Solve -3*g + 2*z = 0, -2*z = -x*g + f*g for g. 0 Let l = -166 + 172. Solve 0 = 3*k + r + 6, l*k + 18 = 3*k + 3*r for k. -3 Let t be -1 - -1 - (-4 - (-6)/3). Solve 4 = -t*i + g - 0, 3*g - 12 = -4*i for i. 0 Let n be (-3)/(-1)*((-35)/15 + 4). Let d = 7 + -5. Let k = -3 + 8. Solve 0 = -2*w - d*x + 3*x - k, -5 = n*w - 5*x for w. -4 Let c(z) = -z**3 - 17*z**2 - 68*z - 16. Let q be c(-11). Solve -s = 2*r - 5, -2*s + q + 4 = -3*r for s. 5 Let o(r) = -r**3 - 9*r**2 - r - 6. Suppose 32 = -3*p + a, -2*a + 55 = 2*p - 7*p. Let c be o(p). Solve 3*i - 1 = 4*i - 2*q, c*q - 3 = 0 for i. 1 Suppose -2*f = -8, -3*z - f + 91 = -0*z. Solve x + 1 = 2*i, 4*x + x + 2*i = -z for x. -5 Let g(f) = -f + 11. Suppose 48 = 4*i - t + 5*t, 2*i + t = 19. Let q be g(i). Solve 0 = q*u - 4, -2*v + 2*u - 14 = -2*u for v. -5 Suppose 5*t - 5 + 0 = 4*l, -4*l + 4*t = 0. Suppose -3 + 3 = l*s. Solve -a = 5*o - s*a - 3, 0 = 5*o - 5*a + 15 for o. 0 Suppose h + 2 - 18 = -w, -4*w = -4*h + 64. Let m = h - 17. Let x be m + 1 - (-1 - 1). Solve -5*k - 2*j + 10 = 0, j - 5*j - 4 = -x*k for k. 2 Let s(q) = 2*q - 12. Let f be 18/2*2/3. Let b be s(f). Let n be b + 4/((-8)/(-10)). Solve t = n*o + 16, 0 = -2*t + 3*o - o for t. -4 Suppose -4*u + 8 = i - 5*i, 3*u - 2*i - 7 = 0. Let s be 0/((-4 - -4) + u). Solve -3*t - 3*b + b = -3, s = 5*t - 4*b - 27 for t. 3 Let u = -24 - -29. Suppose 0*l + u*z = 4*l - 57, -2*z = -6. Solve -w + l = w + 2*g, 3*w + 4*g = 32 for w. 4 Let d(i) = i**2 + 3*i - 25. Let z be d(-7). Solve -3*p + 7*y = z*y - 11, -5*p + y + 7 = 0 for p. 1 Suppose 5*u - 3 = 2*c, -c + 2*c - 1 = 0. Let g = -423 - -426. Solve -5*n + 1 = -g*j - 19, j + u = -4*n for j. -5 Suppose 1536*w - 1518*w - 180 = 0. Solve -25 = 5*k + j, j - w = 2*k + 5*j for k. -5 Let n(h) = -h - 3. Let c be n(-6). Suppose -3*t = 5*m - 21, -2*m + 3*t + 9 = c*m. Solve -d = m*k - 16, 2*d + 5*k = 17 + 10 for d. 1 Let u be -3*(-4)/12*-21*-2. Let w = 46 - u. Solve 3*n - 4*a + 6 = 0, -w*a + 11 = -2*n + a for n. 2 Suppose 23*m = 20*m + 195. Let o = m + -53. Solve 5*z = -4*q - o, 3*z + z = 0 for q. -3 Let z(n) = -54*n - 103. Let a be z(-2). Solve -2*f - 13 = -3*x, a*f + x + 4*x - 30 = 0 for f. 1 Let f(x) = -36*x + 3. Let a be f(0). Suppose 3 = 2*y - 1. Suppose -4*l = 3*j - j + y, 0 = 3*j + a*l - 3. Solve 3*c = -0*c - 6, -j*c = -2*d + 4 for d. -1 Let u be ((-12)/8)/((-6)/8). Solve m = 5*w + 3, u*w - 2*m + 1 = -5 for w. 0 Let r be ((4 - 4) + -1)*-2. Suppose 2*b - 11 = -3*g, 4*g + 2*b - 16 = -r*b. Solve 2*q - u = 7*q, 0 = -2*q + g*u + 17 for q. 1 Let m be (-171)/(-15) - 26/65. Solve -4*f + 3*h - 3 = m, 5*h - 20 = 5*f for f. -2 Let h(z) = 2*z**2 + z - 16. Let n be h(3). Suppose 0 = 10*b - 3*b - 7. Solve n*d = -2*a - b, 2*d + 0 = 2*a + 8 for a. -3 Let u = 84 + -141. Let t = u + 62. Solve -5*x + w + 10 = -0*w, t*w = 3*x - 6 for x. 2 Let m = -8 + 6. Let y = 79 + -86. Let z be y/(m/(-6)*-3). Solve -5*u - 2*i + z = 0, 1 = 3*u + u - 3*i for u. 1 Let c(p) = -4*p**3 - 3*p**2 + 2*p + 4. Let a be c(-1). Solve 2*y = a*l - 18, 2*l - 5*y - 25 + 2 = 0 for l. 4 Let g(v) = v - 37. Let u(h) = -19. Let p(q) = 6*g(q) - 11*u(q). Let o be p(3). Solve -4*i + 0*w - 12 = w, -o*w + 20 = 0 for i. -4 Let d(q) = -q**2 - 17*q - 33. Let l be d(-10). Suppose -3*m - 3*s + l = 2*s, s - 9 = -m. Solve -6*j + j + 24 = -a, 0 = -4*a - 5*j + m for a. -4 Let t be (2/6*(0 - 0))/(-2). Let q(n) = n - 15. Let c be q(24). Solve t = 5*u + d + 17, 3*u - d + c = -6 for u. -4 Let k be (-3 - (-4 + 1))/(-1). Suppose 3*x = -k + 96. Solve -s - 4*o - 7 = -4*s, -x = 4*s + 5*o for s. -3 Let n(v) = v. Let d(f) = -7. Let j(l) = -d(l) + n(l). Let r be j(-5). Solve 2*u = -2*z - 0*z - 10, r*u + 10 = z for z. 0 Suppose -3*r - 3*i = -7*i + 3, 5*r - 5*i = 0. Solve 2*h + 3 = k + 3*h, -4*k - h = -r for k. 0 Let v = 8 + -7. Let l = v + 3. Suppose 9*t + 2*y = l*t + 70, 0 = 2*t - 3*y - 47. Solve -4*r - 3*k - t = -k, -22 = 5*r + 3*k for r. -2 Suppose 219 - 227 = -4*y. Solve 8*k - 26 = -n + 3*k, y*k = 10 for n. 1 Let y be (51/(-34))/(3/(-6)). Solve 0 = 4*t + 2*z - 10, 4*z = -t - y*t + 4 for t. 4 Suppose 3*t = 3*y - 42, 25*t - 110 = -5*y + 20*t. Solve -6*x - 32 = -2*x - 3*u, -2*u + y = -2*x for x. -5 Suppose -72 = -24*z + 15*z. Solve -5*r + 2*j = 30, 0 = 3*r - 5*j + 29 + z for r. -4 Let d(w) = 2*w**2 + 15*w + 6. Let f(c) = c**2 + c + 1. Let k(a) = d(a) - 3*f(a). Let s be k(12). Solve o + s*b = -0*b + 14, 3*o - b = -8 for o. -1 Let b(m) = -8*m**3 - 2*m - 2. Let n be b(-1). Solve -4*i + 2*z = 6*z - n, 0 = 3*z for i. 2 Let o be 2009/28 + 18/8 + -2. Let z be o/27 - 1/(-3). Let b be (0*3/3)/(-1). Solve k = -z*u - 3, -2*k + b*k - 6 = u for k. -3 Let b(q) = 11*q - 39. Let n be b(4). Solve x = -3*k + 9, -x - 15 = 3*x - n*k for x. 0 Suppose 2*w - 2 - 6 = 0. Let b = 7 + -6. Let r be b*(5 - (-4 + 3)). Solve -c + h - r = 0, h = -w*c - c - 12 for c. -3 Suppose -3*q - 4*z = -8*z + 11, -5*q = -5*z + 10. Solve y + 4 = -4*h, h = -2*h - 3*y - q for h. -1 Let i(t) = t**2 - 4*t - 8. Let m(n) = 4*n - 2. Let g be m(2). Let c be i(g). Let x be ((-7)/c)/(2/(-8)). Solve 4*h + 6 = -2*a, h = a - 2*h - x for a. 1 Let q = 2 - 2. Let z be -6 + -5 + 8 - -7. Solve q = -5*f + 3*b - 37, z*f + 3*b + 8 = -0*b for f. -5 Suppose q - 3 = -5*w + 8, 2*w = -3*q - 6. Solve m = w*u + 4, -4*m + m = 2*u - 1 for u. -1 Suppose 3*z - 9 = 3*a, 0*z + 3*a = z - 1. Suppose m = -z*m + 75. Let b = -114 + 116. Solve 3*s - 2*x = 2*x + b, -m = -5*s - 5*x for s. 2 Suppose 25*o = -9*o + 68. Solve -2*w = 8, 4*c + 6 = o*c - 2*w for c. 1 Let b(r) = r**3 - 3*r**2 + 5*r - 3. Let i be b(4). Let h = 36 - i. Solve -5*t - h*d + 4*d = -1, 5*t = -5*d + 25 for t. 1 Let i(a) = a**2 - 17*a - 102. Let h be i(22). Solve h = -5*c - t, 3*t = -4*c + 5*t + 2 for c. -1 Let i be 2/10*-42*20/(-8). Suppose 12*x - i - 15 = 0. Let j(g) = g**2 - 5*g - 6. Let u be j(6). Solve -p - x*n - 12 = 0, p - 13 + u = 2*n for p. 3 Suppose -f = -x - 4*x + 288, -2*f + 62 = x. Suppose 4*y = -2*q - 2 + 70, 3*y = -5*q + x. Solve w + 3*i - 3 = 0, 3*i - y = -5*w - 1 for w. 3 Suppose 2*o = 3*k - 4*k - 7, -33 = 3*o - 3*k. Let r be 16/6*o/(-4). Suppose 2*n = r*n - 10. Solve 2*l = n*m - l - 12, -3*l - 12 = 5*m for m. 0 Let m = 15 + -16. Let h be 2 + 14/42*(1 + m). Solve -5 = 5*g + 3*f + 2*f, -10 = 4*g - h*f for g. -2 Suppose 5 = l - y + 2*y, 3*l = y + 3. Solve b - 15 = -l*b, 4*b = 5*k + 20 for k. 0 Let p be (-7 - -2)*(65/25 - 3). Solve -w + 5*r = -2*w - 20, 5*w + p*r = -31 for w. -5 Suppose -59 = -7*b + 81. Solve -5*l - 22 = 2*g - l, 4*l = -b for g. -1 Suppose -m + 3*m + l + 7 = 0, 0 = 3*l + 3. L
{ "pile_set_name": "DM Mathematics" }
is the nearest to 1 in 2, -0.2, 0.2? 0.2 What is the closest to 0 in 1/5, -5, -0.5, -0.1? -0.1 What is the nearest to 5.3 in 0.1, 0.5, 13? 0.5 Which is the closest to -2/5? (a) -2/7 (b) -1/7 (c) 0 a Which is the nearest to -0.3? (a) 3/7 (b) -1 (c) 0 c Which is the closest to -16? (a) -1 (b) -51 (c) -1/5 a What is the nearest to -1/3 in 3/8, 4, 27, -5? 3/8 What is the closest to 0.1 in 1/6, -1/2, -5/7, 1? 1/6 Which is the closest to -1? (a) 0.1 (b) -0.4 (c) -4 (d) -0.3 b What is the closest to 0 in -3/5, -3, -1/6, -2? -1/6 Which is the nearest to -92? (a) 3 (b) -3 (c) -4/3 b What is the closest to -0.2 in 2, 1/8, -12? 1/8 Which is the closest to -3/79? (a) -4 (b) 3 (c) -1 c Which is the nearest to 1? (a) 2/123 (b) -0.4 (c) -1 a What is the nearest to -3 in -2/5, -1/2, 1, -2? -2 Which is the closest to 1/8? (a) -14/3 (b) -2/9 (c) -1 b Which is the nearest to 1? (a) -27 (b) -1 (c) 1/2 c Which is the closest to 2/11? (a) -0.018 (b) -1 (c) 0.5 a Which is the nearest to 2/3? (a) -1 (b) 31 (c) 2 c What is the closest to -2/9 in -6, 0.1, 0.2? 0.1 What is the nearest to -1 in -0.3, -4, 0, -0.6? -0.6 Which is the nearest to 1? (a) -1/28 (b) -2/3 (c) 7 a What is the nearest to -0.1 in 5, 4, 4/7? 4/7 Which is the nearest to 2? (a) -0.4 (b) 4 (c) 2 (d) -28 c What is the closest to 3/7 in -18, 5, 3? 3 Which is the nearest to 2? (a) -4 (b) 0.5 (c) 1/3 (d) -0.3 b What is the nearest to -2/7 in -0.4, -1/4, -0.2, 3? -1/4 Which is the nearest to -2/7? (a) 2/15 (b) -2/9 (c) -1/6 (d) 3 b Which is the closest to -2? (a) -5/2 (b) 5 (c) -0.5 a What is the nearest to 0.1 in 1.7, -0.1, -7/5, -0.5? -0.1 What is the closest to 2 in 5, -3/4, -76/7? -3/4 Which is the nearest to -1? (a) -3/2 (b) 0.4 (c) 1 (d) -36.4 a What is the closest to 0.3 in -1, -5, 3? -1 Which is the nearest to -5? (a) -2/13 (b) 5 (c) 1/5 (d) -0.5 d What is the nearest to 1 in -215, 3, 2? 2 Which is the closest to -37? (a) -0.4 (b) 3 (c) -3 (d) 2 c What is the nearest to -0.1 in 0.5, -0.17, 2? -0.17 Which is the closest to 3/2? (a) 1/3 (b) -0.7 (c) 5 a Which is the closest to -13? (a) 0.02 (b) 2 (c) -2 c Which is the nearest to 1? (a) 1 (b) 5 (c) -1/4 a Which is the closest to -0.0514? (a) 5 (b) -0.4 (c) -2 b What is the closest to -0.1 in -2, 3/4, 5? 3/4 Which is the nearest to -3? (a) 12 (b) 0 (c) -3 (d) -2 c What is the nearest to -3/5 in 5, 4/9, 0.1, -13? 0.1 What is the closest to -1 in -0.2, 0.118, 3, -2? -0.2 Which is the closest to -1? (a) -1 (b) 5 (c) 334 a Which is the nearest to 0.1? (a) 0.2 (b) 1 (c) -3 (d) 0.5 a Which is the closest to -2? (a) -4 (b) 1 (c) 33/8 a Which is the closest to 23/3? (a) 1/3 (b) 0.4 (c) -0.1 b Which is the nearest to 1/2? (a) 1/6 (b) 29 (c) 4/5 (d) 0.183 c What is the nearest to -1/3 in -1/3, 0.21, -1, 2/13? -1/3 Which is the nearest to 2/5? (a) -2 (b) -0.2 (c) 0.085 (d) 17 c What is the nearest to -0.06 in 0.06, -5, 2, 4/5? 0.06 Which is the closest to -2/7? (a) -4 (b) -8 (c) 0.12 (d) 3 c Which is the closest to 5? (a) 6 (b) -2/3 (c) -2/9 (d) -0.1 a What is the nearest to -0.1 in -0.4, -2/3, -0.3, 0.6? -0.3 What is the closest to -5/33 in -1, 0.3, -3/2? 0.3 What is the nearest to -5/18 in -1/2, -0.02, -1/6, 2/5? -1/6 What is the nearest to 2/5 in -0.3, -88.7, 3/2? -0.3 What is the nearest to -2.5 in 50, 4, 0? 0 What is the nearest to -2/117 in 2, 5/4, -0.2, 0.4? -0.2 What is the closest to 2/19 in 3/8, -2/5, 5, 21? 3/8 What is the nearest to -2 in 0, 4/9, -3/2, 19/5? -3/2 What is the closest to -2/5 in -0.5, 0, -0.03? -0.5 Which is the nearest to 2? (a) -0.3 (b) 5 (c) 4 c What is the closest to 0.1 in -0.039, -4, -0.06, 0? 0 What is the closest to -238 in -3/5, -0.3, 4, -4? -4 Which is the nearest to 12/5? (a) -5 (b) 5 (c) -43 b Which is the nearest to -1? (a) 16 (b) 7 (c) 2 c What is the closest to 1 in -56, -0.4, -2, 0.06? 0.06 Which is the closest to 0.1? (a) -48 (b) 0.1 (c) 0.2 (d) 5 b Which is the closest to -1? (a) 0.4 (b) -3.7 (c) -5 a Which is the nearest to 2? (a) -2 (b) 52.6 (c) -0.3 c Which is the closest to 2/3? (a) -0.031 (b) 0.17 (c) -2/5 (d) -0.1 b Which is the nearest to -1? (a) 0.1 (b) 9 (c) 0.7 (d) 4 a Which is the closest to 1/8? (a) -4/5 (b) 2 (c) -0.11 c What is the nearest to -1 in -1.6, -1/2, 4, 0? -1/2 Which is the closest to 0? (a) 3 (b) -1.22 (c) -1/2 (d) -0.3 d What is the nearest to -0.2 in 8, 1/4, 2/5? 1/4 Which is the closest to -0.3? (a) 0.79 (b) -5 (c) -2/7 c What is the closest to 7 in 0.06, 3/4, -0.2? 3/4 Which is the nearest to -24? (a) 1 (b) -0.07 (c) -1 (d) 5 c What is the closest to -0.1 in -2/11, 3/11, -1/10? -1/10 Which is the closest to -0.2? (a) 8 (b) -0.3 (c) -1 b What is the nearest to 1/2 in 5, 3/2, 1/3, 0? 1/3 Which is the closest to 0.1? (a) 2 (b) -2/9 (c) 4444 (d) -4 b Which is the nearest to 2? (a) -8 (b) -3 (c) 16 (d) -4 b Which is the closest to 2? (a) 508 (b) 0 (c) 0.1 c Which is the nearest to -5? (a) 0 (b) 0.3 (c) 0.02 a What is the closest to -4 in -0.2, 2, 1/2? -0.2 Which is the closest to -2/5? (a) -0.5 (b) -4 (c) 2/5 (d) 5 a Which is the nearest to 1? (a) 0.4 (b) -1/6 (c) -1 (d) -1/2 a Which is the nearest to -1/2? (a) 438 (b) 5 (c) 0.3 c Which is the nearest to -0.2? (a) -2/13 (b) -12 (c) -4 (d) 1/8 a What is the nearest to -2/23 in 0.6, -2, -16? 0.6 Which is the closest to 1? (a) -19 (b) -1 (c) -0.3 (d) -2 c Which is the nearest to 3? (a) 2/9 (b) -6 (c) -28 a Which is the closest to 0? (a) -4 (b) 1/10 (c) -42/19 b Which is the nearest to -1? (a) 1/3 (b) 3 (c) 1/9 (d) 4 c Which is the closest to 0.01? (a) 2/11 (b) -15 (c) -0.9 a Which is the closest to 1? (a) -5 (b) 43 (c) -3 c Which is the nearest to 1? (a) 14 (b) -1 (c) -3 (d) -11 b Which is the closest to -0.1? (a) 65 (b) -2 (c) -2/9 (d) 0.3 c Which is the nearest to -1? (a) -2/11 (b) -4 (c) -14 (d) 4 a What is the nearest to -5 in -7/5, -5, -1/5, 0.3? -5 Which is the nearest to 2/5? (a) 29 (b) -0.4 (c) -5 (d) 1 d Which is the nearest to 1/4? (a) -18/7 (b) -0.3 (c) -2/11 (d) 181 c Which is the nearest to 133? (a) 5 (b) -1/9 (c) 1/6 a What is the nearest to -0.2 in -2/3, 5/2, 3? -2/3 What is the closest to 163 in 188, 0.1, -2/11? 188 Which is the closest to 2? (a) 0.06 (b) -2.86 (c) -5 a Which is the nearest to -7? (a) -1 (b) 19 (c) -3 (d) -4 d What is the closest to -165 in 0.3, 1, 0.5? 0.3 Which is the nearest to -3/8? (a) -1/4 (b) 10 (c) 5 a What is the nearest to 1 in 0.4, 0.5, 0.28? 0.5 What is the closest to 6 in 1/4, 6/5, -9? 6/5 What is the nearest to 16 in 0, 4/7, -3/7? 4/7 Which is the closest to 0.06? (a) -2/11 (b) 4 (c) -2/5 (d) -4 a What is the closest to 2/7 in -2/3, 3/10, -5? 3/10 What is the closest to -1 in -1.1, 0.3, 1, -1? -1 Which is the nearest to -1? (a) 0.1 (b) 2 (c) -2/7 (d) -2/105 c What is the closest to 2 in 0.2, 1, 1.05? 1.05 What is the nearest to 17 in 2, 0.4, -3? 2 What is the nearest to -0.4 in 2/7, -24/11, 0.3, 5? 2/7 What is the nearest to -0.29 in -5, 2/9, 5, 3? 2/9 Which is the nearest to 1/2? (a) 0 (b) -3/8 (c) -0.1 (d) -3 a What is the nearest to 1 in 0.4, 4, 363/5? 0.4 What is the nearest to -2 in 5, 0.6, 4, 5/3? 0.6 Which is the nearest to -2/3? (a) -1 (b) -6/35 (c) -7 a Which is the nearest to 4? (a) 0.4 (b) 2/3 (c) 58 b Which is the nearest to -40? (a) -1 (b) -12 (c) 0.2 b Which is the nearest to 14? (a) -3/5 (b) -0.1 (c) -4 b Which is the nearest to -1/7? (a) 0.1 (b) -1/3 (c) 1/7 b Which is the closest to 18? (a) -0.3 (b) 0.3 (c) 3 c Which is the nearest to -0.3? (a) 0.5 (b) 5/3 (c) -26 (d) -1 d Which is the nearest to -4? (a) -17 (b) 2 (c) 2/5 c What is the nearest to 13 in 2, -2/7, -82/9? 2 Which is the closest to 0.2? (a) 2/11 (b) 20 (c) 4 a Which is the nearest to 2/13? (a) -0.06 (b) 0.16 (c) -3/7 (d) -0.7 b Which is the nearest to -0.1? (a) 1 (b) 3/167 (c) 1/3 b What is the nearest to 0.3 in -0.06, -3.1, -2/9? -0.06 Which is the nearest to 0.1? (a) 4 (b) 3/8 (c) 2 (d) -2 b Which is the nearest to -1? (a) -5 (b) -2/281 (c) 1/2 b What is the nearest to -0.1 in -1/4, 1/3, -2/37, 1? -2/37 Which is the nearest to -3? (a)
{ "pile_set_name": "DM Mathematics" }
base 13, what is -2926 + 7? -291c In base 2, what is 1101011010101011 + 1111? 1101011010111010 In base 12, what is -382565 + 0? -382565 In base 5, what is 310102 + 1? 310103 In base 11, what is 5 + -18908? -18903 In base 5, what is -10102 + -2243? -12400 In base 7, what is -111020 - -12? -111005 In base 8, what is -30517 - -22? -30475 In base 12, what is -5b5 + 17? -59a In base 16, what is 488 + -16? 472 In base 10, what is 153493 + -28? 153465 In base 7, what is 1061 - 111? 650 In base 2, what is 11 + 100001111010? 100001111101 In base 4, what is -1323221 - -21? -1323200 In base 7, what is 24543356 + -1? 24543355 In base 5, what is 2340 + 11331? 14221 In base 15, what is 5 - 2bc? -2b7 In base 15, what is -3 - 2456? -2459 In base 8, what is 2 + 34415? 34417 In base 2, what is 1000 + 1111000101110? 1111000110110 In base 16, what is 5353 + -1? 5352 In base 9, what is 67 + 2625? 2703 In base 4, what is -2103330 - 10? -2110000 In base 2, what is 11010 + -100000110011? -100000011001 In base 2, what is 101000000111000 - -1? 101000000111001 In base 15, what is -133 - -187? 54 In base 8, what is -5361 + -37? -5420 In base 12, what is -30a + -8a9? -bb7 In base 11, what is -4592 - 9? -45a0 In base 14, what is 1027 + -11? 1016 In base 2, what is 11111111 + 100011010000? 100111001111 In base 8, what is 2 - -7026? 7030 In base 10, what is -4 - -173707? 173703 In base 11, what is 410 + -a3? 318 In base 9, what is 2837 - -18? 2856 In base 5, what is -1022 + 34442? 33420 In base 4, what is 10 - 1230120000? -1230113330 In base 13, what is -ab753 - -5? -ab74b In base 7, what is -23 - 2613? -2636 In base 5, what is -100 + -32413? -33013 In base 11, what is -62307 - 5? -62311 In base 6, what is 314144 - -4? 314152 In base 9, what is 0 - -20444? 20444 In base 15, what is -29a + 18? -282 In base 5, what is 303 + -3010? -2202 In base 15, what is -41 + -2ce? -320 In base 11, what is 3306 - -97? 33a2 In base 7, what is -4 - 26333? -26340 In base 7, what is 222 - -303? 525 In base 13, what is 26c - 4? 268 In base 13, what is 3c + 7371? 73b0 In base 16, what is 2d + -38? -b In base 13, what is 50c159 - -5? 50c161 In base 2, what is -11011 - -1010100111010? 1010100011111 In base 15, what is 5 + 2bb? 2c1 In base 13, what is 220 + -cc? 121 In base 14, what is -76331 + 3? -7632c In base 16, what is -5 - 60e74? -60e79 In base 8, what is -173 + -1715? -2110 In base 5, what is -2044 - -4101? 2002 In base 13, what is c7 - b? b9 In base 3, what is -12011012012 + 0? -12011012012 In base 5, what is 1430113 + 22? 1430140 In base 16, what is -c7fdb + -4? -c7fdf In base 10, what is 494 + -80? 414 In base 8, what is -2550 + 54? -2474 In base 4, what is -2112 + 211003? 202231 In base 12, what is -a3b8 - 1? -a3b9 In base 15, what is 1 + 2410? 2411 In base 13, what is -460ba - 4? -460c1 In base 13, what is a04 + -4? a00 In base 11, what is 14797 + -43? 14754 In base 4, what is -110 + 1220322? 1220212 In base 8, what is 6562 + 36? 6620 In base 14, what is -7113d - 4? -71143 In base 10, what is -920235 - 5? -920240 In base 3, what is 12 + -100120202100? -100120202011 In base 16, what is 135 - -c7b? db0 In base 6, what is -5103 - 555? -10102 In base 12, what is -378b8 + 3? -378b5 In base 8, what is 2 - -120413? 120415 In base 7, what is 4 + 6656? 6663 In base 13, what is -821 + 0? -821 In base 11, what is -1776 + -1180? -2946 In base 15, what is 4076 - 2? 4074 In base 15, what is -1d - -1a? -3 In base 2, what is -1 + 1011101100101? 1011101100100 In base 4, what is 1003003301 - 10? 1003003231 In base 4, what is -11 - 1011133310? -1011133321 In base 4, what is 1333122 - 13? 1333103 In base 14, what is -6 - -2b? 25 In base 7, what is -2402254 + -1? -2402255 In base 6, what is 2430 + 4024? 10454 In base 4, what is 3232 + 20102? 30000 In base 13, what is 392c - 90? 386c In base 7, what is 125 + -44? 51 In base 11, what is 46 - -55? a0 In base 14, what is -3a329 - 1? -3a32a In base 7, what is -1130 - 23266? -24426 In base 2, what is 110000 - -1001010100? 1010000100 In base 3, what is -1120210 - -120? -1120020 In base 2, what is 110100110001011 + 10011? 110100110011110 In base 13, what is -2558 + -6? -2561 In base 16, what is 2a12 - -2f? 2a41 In base 12, what is -2 - -7941? 793b In base 5, what is -101320433 + 1? -101320432 In base 2, what is -10110111 - -1000111? -1110000 In base 16, what is 34 + -84? -50 In base 14, what is 138ac1 + -2? 138abd In base 14, what is 9 + 17414? 1741d In base 6, what is -2 - -23233? 23231 In base 14, what is 15 + -1bb? -1a6 In base 14, what is 1020 + -165? c99 In base 11, what is 147a - 17? 1463 In base 3, what is 20221111022 - 1? 20221111021 In base 15, what is cd7e3 + -2? cd7e1 In base 13, what is -2615 + -4? -2619 In base 2, what is 1100011111001 + -1101011? 1100010001110 In base 16, what is -5 - 47ca? -47cf In base 2, what is -10111110000101 - -10010? -10111101110011 In base 8, what is -412 - 7? -421 In base 4, what is 2 - 2003003322? -2003003320 In base 5, what is -433 - -201? -232 In base 7, what is -102506 + 5? -102501 In base 15, what is 1 - -d0060? d0061 In base 11, what is -36 + 24976? 24940 In base 4, what is -1213310310 + 2? -1213310302 In base 4, what is -2223201030 + 12? -2223201012 In base 8, what is -67 - 10142? -10231 In base 7, what is 4 + -5500? -5463 In base 3, what is 212012 + 221? 220010 In base 5, what is -1243 + -2322? -4120 In base 9, what is -3 - 830376? -830380 In base 10, what is 884 - 3455? -2571 In base 16, what is 506 - 68? 49e In base 5, what is 41332442 - -4? 41333001 In base 16, what is -4ee - -a7? -447 In base 11, what is -356 + 318a? 2934 In base 14, what is -1067d - 5? -10684 In base 6, what is -321 + 5521? 5200 In base 2, what is 10011101011 - 1001000? 10010100011 In base 3, what is 101 + 10211002? 10211110 In base 9, what is -1584 + 30? -1554 In base 9, what is -247 + -1780? -2137 In base 6, what is 20054150 - -3? 20054153 In base 2, what is -1011001111 - -10111? -1010111000 In base 7, what is 3 - 1061516? -1061513 In base 8, what is -32 - 200667? -200721 In base 3, what is -120022 - -1022? -112000 In base 10, what is 354959 - 0? 354959 In base 12, what is 1 + 2a582? 2a583 In base 16, what is -3 + 10aa1? 10a9e In base 16, what is a - bd1? -bc7 In base 9, what is -616 - -547? -58 In base 11, what is 10874 + -4a? 10825 In base 5, what is 141403 - 33? 141320 In base 9, what is -3 + 16674? 16671 In base 16, what is -9a8d + 3? -9a8a In base 16, what is -76 - -e? -68 In base 13, what is -7c2 - -48? -777 In base 4, what is -10 - 30302102? -30302112 In base 8, what is -30054 + -30? -30104 In base 16, what is e0 - -7ce? 8ae In base 11, what is -125 - -1055? a30 In base 5, what is 10 - -131432143? 131432203 In base 3, what is 102121210011120 + 10? 102121210011200 In base 11, what is -5610 + 5? -5606 In base 6, what is 315 - -105221? 105540 In base 10, what is 398520 + 1? 398521 In base 15, what is -8b9a - 0? -8b9a In base 11, what is -181759 - -6? -181753 In base 7, what is -1 - 1062055? -1062056 In base 16, what is 15 - -2d23? 2d38 In base 3, what is -12 + 1102011210? 1102011121 In base 5, what is -144 - -1320010? 1314311 In base 13, what is a - -318? 325 In base 7, what is 21605 + -65? 21510 In base 8, what is 7 + 113662? 113671 In base 11, what is a141a + 2? a1421 In base 15, what is 7b1c - a? 7b12 In base 14, what is -64c0 - -a? -64b4 In base 8, what is -5 + -25406? -25413 In base 16, what is 3264 - 1? 3263 In base 11, what is -3 + 186213? 186210 In base 10, what is -206123 - -2? -206121 In base 6, what is -14 + 2045252? 2045234 In base 14, what is 115 + -b53b? -b426 In base 13, what is -6 + -4c818? -4c821 In base 5, what is -14 + 100010111? 100010042 In base 3, what is 0 + -2211222? -2211222 In base 9, what is 6100 - -8? 6108 In base 16, what is -60 + -730? -790 In base 7, what is -363 + 3? -360 In base 2, what is -1100111100010111100 - 0? -1100111100010111100 In base 2, what is 11100010010010010101 + 11? 11100010010010011000 In base 4, what is -3323 - 1000020? -1010003 In base 9, what is 6556 - -31? 6587 In base 9, what is -2 - 163211? -163213 In base 7, what is -1 + -5246524? -5246525 In base 6, what is 131120 - -214? 131334 In base 8, what is 344463 - -4? 344467 In base 7, what is -336 + -4660? -5326 In base 5, what is -4 - -
{ "pile_set_name": "DM Mathematics" }
2. Does 17 divide s(-3)? False Suppose -2*s + 9 = 3*a, -s + 0*s + 3*a - 9 = 0. Let w = 10 + s. Does 10 divide w? True Suppose -19 + 7 = -4*f. Suppose -5 - f = -k. Is 8 a factor of k? True Let q = -24 + 25. Does 2 divide (11/(-2))/q*-2? False Suppose 2*g - 53 - 7 = 0. Is 10 a factor of g? True Suppose 0*a = -2*a + 4. Suppose -m - 8 - 4 = 5*q, 3*m = a*q - 2. Does 7 divide 0 - q/2*11? False Suppose 3*g + 4*l = 11 + 5, -5*g + 24 = 4*l. Does 15 divide g/((-32)/(-228))*2? False Let f = -14 - 11. Let b = -6 - -4. Let u = b - f. Does 8 divide u? False Suppose -3*z - 4*y = -171, y - 114 = -2*z + 2*y. Is 17 a factor of z? False Let k(g) = -g**3 - 3*g**2 + 9*g - 13. Does 8 divide k(-6)? False Suppose -4*v = 2*v - 198. Is v a multiple of 11? True Let q = -107 - -178. Is 16 a factor of q? False Let g(t) = -17*t - 11. Is g(-5) a multiple of 12? False Let j(b) = -b - 3. Let p(l) = l + 3. Let s(m) = -4*j(m) - 5*p(m). Is s(-5) even? True Let t(g) = g**3 + 7*g**2 - g - 6. Let i be t(-5). Suppose -5*x - i = 1. Does 3 divide x/(3/(-5 + 2))? False Let s = 3 - -1. Suppose s*a = -24 - 92. Let t = a - -55. Is t a multiple of 13? True Is ((-4)/(-6))/(4 - 534/135) even? False Suppose 4*t + 0*t = 100. Suppose t = -0*q + q. Is 8 a factor of q? False Let s = 8 + -6. Suppose -s = -2*i + 32. Does 4 divide i? False Let x = 48 - -64. Does 28 divide x? True Suppose 32 = -0*u + 3*u - 5*j, j + 4 = 0. Is (24/9)/(u/54) a multiple of 9? True Let n(b) be the first derivative of b**4/4 + 2*b**3 - 3*b**2/2 - 2. Is n(-6) a multiple of 7? False Let b(v) = 9*v**2 - 8*v + 3. Does 17 divide b(3)? False Let c(z) be the second derivative of -z**4/2 + z**3/2 - z**2 - z. Let s be c(2). Does 6 divide s/(-2) + 0 + 1? False Let x be -2*(1 - -1) - 0. Let b be (87/2)/((-6)/16). Does 10 divide b/(-6) + x/(-6)? True Let m = -136 - -149. Is m a multiple of 9? False Suppose -155 = -3*a + a - 3*v, -4*v - 445 = -5*a. Does 17 divide a? True Let q(i) = 3*i - 3. Let k be q(4). Suppose 5*z - k + 2 = -g, 0 = 2*g - z - 47. Does 11 divide g? True Let y(c) = -c**3 + 5*c**2 - 2*c. Let l be y(3). Let o be l/9*(36 + 0). Let h = o - 14. Is 17 a factor of h? True Suppose 2*m + s + 274 = 0, -5*m + 4*m - 4*s - 151 = 0. Let t = -82 - m. Does 10 divide t? False Let d = 0 + 3. Suppose 0 = -4*r - 3*v + 81, d*r + 5*v - 51 = r. Does 15 divide r? False Let d(y) be the third derivative of y**4/24 + 7*y**2. Is d(9) a multiple of 9? True Let t(f) = -38*f**2 + f + 1. Let k be t(-1). Let o = -16 - k. Is 11 a factor of o? True Suppose 16 = -3*o - o. Suppose 0 = -3*u - 2 - 4. Does 6 divide ((-16)/o)/(u/(-7))? False Let z(n) = -5*n**2 + n - 14. Let o(j) = -j**2 + j - 1. Let l(k) = -6*o(k) + z(k). Let u(g) = -5*g - 8. Let f be u(-3). Is l(f) a multiple of 6? True Let i(h) = 20*h - 20. Is 52 a factor of i(14)? True Suppose 0 = 3*q - 434 - 10. Let b = -102 + q. Does 14 divide 6*(-3 + b/6)? True Is 5 a factor of (-12)/(-72) - 106/(-12)? False Let k(o) = 7*o**2 - 4*o + 1. Let g be k(4). Suppose -g = 5*v - 547. Suppose -2*w + 4*m = -8, 5*w - 2*m - v = -6*m. Does 7 divide w? True Let x(w) = 23*w + 1. Suppose 3*o - 211 = 4*l, -3*o - 175 = 3*l - 22. Let v be (-60)/l - (-6)/(-39). Does 24 divide x(v)? True Let f(u) = u**2 - 2*u + 7*u + 0 + 3. Let r be f(-6). Let k = r + 3. Does 6 divide k? True Let q(b) = b**3 + 5*b**2 - 5*b + 7. Let g be q(-7). Suppose 0 = -l + 6*l + 100. Let j = l - g. Does 18 divide j? True Let w be 1194/30 + 2/10. Let r be 223/(-9) - (-4)/(-18). Let p = w + r. Is p a multiple of 7? False Let g(v) = -v**2 + 1. Let z be g(1). Suppose -3*x = x - 80. Does 4 divide (x + z)/2 + 1? False Let o(n) = -4*n - 13. Let c be o(-5). Let q = -33 + 54. Let y = q + c. Is y a multiple of 12? False Let t be 45/9 - 1*-2. Does 6 divide 126/t*8/6? True Let r(v) = 14*v - 12. Is r(3) a multiple of 15? True Does 8 divide ((-168)/30*-2)/(1/5)? True Suppose 5*q = 3*m + 57 + 38, -2*m = q - 19. Suppose q = 2*i + 1. Is i a multiple of 5? False Let m = -7 + 11. Let c = 9 + m. Is 7 a factor of c? False Let r(i) = 10*i - 9. Let h = 21 - 17. Does 9 divide r(h)? False Let d be -1*1 - (1 + 1). Suppose 0 = -y + 7 + 7. Let s = y + d. Does 3 divide s? False Let l be 130 + (-1 - -2)/(-1). Suppose 4*t - l = o, -3*t + o = -8*t + 168. Does 11 divide t? True Let p(l) = -l**2 + 10*l - 7. Let m(d) = d**2 + 7*d - 11. Let o be m(-9). Is p(o) a multiple of 7? True Let w = -126 - -240. Is w a multiple of 19? True Let h = 7 + -1. Is 21 a factor of (-27)/6*(-64)/h? False Let p = -243 + 403. Is 13 a factor of p? False Let i(s) = -s + 7. Let t be i(5). Let a be 155 + 3 - (-4)/t. Is (-2)/6 + a/12 a multiple of 13? True Does 8 divide 93/(-9)*-9 - -3? True Let t(w) = -18*w**2 - w - 1. Let j = 2 - 3. Let z be t(j). Let v = -1 - z. Is 9 a factor of v? False Let b(z) = z**2 - 2*z - 2. Let i(a) = -3*a**3 + a**2. Let d be i(-1). Is b(d) a multiple of 6? True Suppose 0 = -0*v - v + 39. Is v a multiple of 13? True Let l be 20/(-15)*6/4. Let z be ((-7)/3)/(l/(-6)). Let n(i) = i**3 + 8*i**2 + 5*i - 8. Is 3 a factor of n(z)? True Let i = -1 - -5. Suppose -2*h + 7*h = 15. Suppose -3*b + 4*z + 44 = 0, h*b + i = -3*z + 55. Does 7 divide b? False Let k be 45/(-15)*(-2)/(-3). Is 5 a factor of (-69)/(-9) + k/3? False Let v(j) = -3 + j**3 + 7 + 9 - 11*j**2 + 9*j. Let n be v(10). Suppose n*l + 0*l = -4*u + 33, -5*u - 4*l = -40. Is 6 a factor of u? True Is 13 a factor of ((-39)/2)/((-2)/12)? True Let g(r) = -r**3 + 5*r**2 + 4*r - 4. Does 4 divide g(5)? True Suppose -5*v = 2*s - 267, s + 3*s - 94 = -2*v. Does 10 divide v? False Let n(r) = 2*r + 2. Let k be n(-4). Is 14 a factor of (k/(-4))/((-9)/(-84))? True Suppose -92 = -2*c + 4*g, -4*c = -3*g - 47 - 127. Is 14 a factor of c? True Suppose -7*q - 44 + 443 = 0. Is 19 a factor of q? True Let f(g) = -g**2 + 10*g - 7. Let p be f(9). Let q(l) = 8*l + 0 + 2*l**2 + 4*l**2 - l**3 - p. Is 3 a factor of q(7)? False Is 6 a factor of (-282)/(-4)*(-3 - 22/(-6))? False Let r(q) = -2*q**3 + 3*q**2 + 18*q - 12. Let z(t) = -3*t**3 + 5*t**2 + 27*t - 18. Let w(c) = 7*r(c) - 5*z(c). Is w(6) a multiple of 12? True Let s(i) = 79*i**2 - i. Let t be s(-1). Suppose t = 4*j - 156. Let m = j - 39. Does 14 divide m? False Let p be (-1)/((3/75)/(-1)). Suppose -14 - p = -k. Is 11 a factor of k? False Let s(z) = 1 + 5 + 21*z - 53*z. Is s(-2) a multiple of 16? False Let b be 2 + (5 + -2 - 1). Let z = 4 + b. Is 6 a factor of z? False Let d be 8/(-44) + (-92)/(-22). Let l be d/(-2 + 3/1). Suppose -2*x + l*x = 8. Is x a multiple of 4? True Let o be (-173)/(-4) - (-5)/(-20). Suppose -16 + 52 = 3*x. Suppose 2*l - o = -5*m, 53 = 3*m + 5*l + x. Is 4 a factor of m? False Let b(n) be the third derivative of n**5/60 + n**4/6 - n**3/2 - 3*n**2. Let s be b(-5). Suppose -4*t = 4*p - 52, -3*t - s*t = p - 17. Does 6 divide p? True Let o = 3 + 0. Let r be (-5)/(3/o)*-3. Let y = r + -4. Is y a multiple of 5? False Let d(j) = -j**2 - 4*j + 7. Let h = -1 + -4. Let l be d(h). Suppose -4*t = -l*f - 64, 2*t + t = -2*f + 55. Does 17 divide t? True Let u(d) = -d + 2. Let a = 2 + 1. Let b = a - 6. Does 4 divide u(b)? False Let b = -9 - -8. Let h = 3 - b. Suppose 2*u - 30 = -h. Is u a multiple of 12? False Suppose -5*l + y + 2*y - 2 = 0, -3*l + 3*y - 6 = 0. Let f be 3/((-3)/2) + l. Suppose 4*p + f*p - 40 = 0. Is p a multiple of 5? True Let a be 52/10 + (-1)/5. Let o(w) = -w**2 + 6*w - 2. Let s be o(a). Suppose 3*u + 2*n - 5*n - 39 = 0, s*u + 3*n = 69. Is 18 a factor of u? True Let g = 10 - 6. Suppose g*m - 70 = 98. Is m a multiple of 14? True Suppose 4*g + 2 = 4*w - 3*w, -g - 32 = 5*w. Let c = w - -8. Suppose 0 = 4*l + l - 4*z - 158, 0 = -c*z + 6. Is l a multiple of 17? True Let g(f) = -142*f - 2. Let t be g(1). Let r = -62 - t. Is r a multiple of 14? False Suppose g + 4*g = -4*i - 105, 0 = 3*g + 4*i + 63. Is (36/g)/((-4)/42) a multiple of 10? False Let x(j) = 3*j**2 - 3*j + 2. Let g be x(3). Suppose 3*m - 4*m + g = 0. Is m a multiple of 7? False Suppose 0 = 2*k + 2*k - 2*q + 24, 5*k - 2*q = -28. Let r = 18 + k. Is r a multiple of 14? True Let n(t) = t**2 + 15*t - 12. Let u be n(-16). Suppose 5*s = 2*s. Is s + (1 + u - 0) a multiple of 2? False Let r(u) = 3*u**3 - 4*u**2 + 2*u - 4. Let k be r(3). Suppose 4*s - a = -s + 73, 3*s + a = k. Is s a multiple of 12? False Suppose -5*t - 41 = -11. Let w be (
{ "pile_set_name": "DM Mathematics" }
second derivative of o(c) wrt c. 660*c**3 Let k(n) be the first derivative of 4*n**5/5 - 5*n**3 - 14. What is the third derivative of k(o) wrt o? 96*o Suppose 9 = 4*c + 1. What is the first derivative of -7 - 4*f**2 - f**2 - 3*f**c + 2*f**2 wrt f? -12*f Let k(r) be the first derivative of 19*r**5/5 + 19*r + 14. What is the first derivative of k(a) wrt a? 76*a**3 Let w(d) be the first derivative of d**5/15 - d**3/6 - 2*d**2 - 1. Let b(x) be the second derivative of w(x). What is the derivative of b(s) wrt s? 8*s Let h = -7 - -6. Let o(r) = r**3 - 2*r**2 - 3*r + 2. Let g(c) = -c**3 + c**2 - 1. Let b(a) = h*o(a) - 2*g(a). What is the second derivative of b(u) wrt u? 6*u Suppose l = 4, 2*c - l + 10 = 2*l. What is the derivative of -3 - 1 + 0 - 3*k + c wrt k? -3 Let b = -8 - -10. Find the first derivative of -30*i + 7 + 30*i - 1 - 7*i**b wrt i. -14*i Let f(d) = -d**3 - 2*d**2 + d - 4. Let i be f(-3). Let b(g) = g**2 - 2. Let v be b(2). What is the second derivative of v*y + 5*y**2 - y**3 - 5*y**i wrt y? -6*y Find the first derivative of 25 - 1389*r**2 + 1404*r**2 - 18 + 26 wrt r. 30*r Suppose 17 + 9 = 5*a - 3*c, -4*a + 2*c + 20 = 0. Let v = a - 2. What is the second derivative of 4*h**4 + 0*h - v*h**4 + 2*h wrt h? 24*h**2 Find the second derivative of 13*r - r + 4*r - r**3 + 10*r**3 wrt r. 54*r Let v(y) = y - 8. Let j be v(12). What is the second derivative of -h + 3*h**4 + 5*h - h**j - 2*h wrt h? 24*h**2 Let h(m) be the first derivative of 2 - 2*m**2 + 0*m + 2/3*m**3. What is the second derivative of h(a) wrt a? 4 Suppose 4*a - 22 - 42 = 0. What is the first derivative of 2 - 11*h**4 - 1 + a*h**4 wrt h? 20*h**3 Let y(g) be the first derivative of 1 - 2*g**3 + 2 + g**3 - 30*g + 21*g. Differentiate y(d) with respect to d. -6*d Let v(s) be the second derivative of -29*s**5/10 - 11*s**4/12 - s**3/3 + 37*s. Find the third derivative of v(k) wrt k. -348 Let i(y) = -y**3 + 4*y**2 + 5*y + 5. Let d be (1 + -3)/(-1) + 3. Let h be i(d). Find the second derivative of -4*v**5 + 7*v**5 - 4*v - 4*v**h wrt v. -20*v**3 What is the first derivative of 23 - 12 - 17 - 5*k**3 wrt k? -15*k**2 Let a = -1 + 2. Let j(t) = 0 - a + t**3 + 0 + t. Let z(o) = 2*o**4 + 6*o**3 + 6*o - 4. Let y(m) = 6*j(m) - z(m). What is the derivative of y(c) wrt c? -8*c**3 Let l(w) be the second derivative of -w**8/56 + 5*w**4/3 + 26*w. What is the third derivative of l(o) wrt o? -120*o**3 Suppose -18 = -5*u - 3, 0 = -5*a - 2*u + 1. Let c be a + -1 + 2*3. What is the second derivative of 0*q**c - q**5 + 0*q**4 + 2*q wrt q? -20*q**3 Let t(j) be the second derivative of -j**9/3780 + j**7/840 - j**4/3 - 4*j. Let c(f) be the third derivative of t(f). Find the third derivative of c(h) wrt h. -96*h Let v(z) be the first derivative of -7*z**3 - 3*z**2 - 14. Find the second derivative of v(m) wrt m. -42 Let l(j) be the second derivative of -7*j**4/4 - 15*j**2/2 - 20*j. What is the derivative of l(h) wrt h? -42*h Let s be 0 - (-18)/(-3) - 0. Let u be (-96)/(-18) + 2/s. What is the second derivative of u*k - 4*k**4 + 2*k**4 - 2*k**4 + 0*k**4 wrt k? -48*k**2 Let v(q) be the second derivative of -5*q**7/14 - 8*q**3/3 + 18*q. What is the second derivative of v(o) wrt o? -300*o**3 Find the second derivative of -1984*f**2 - 17*f + 1984*f**2 + 28*f**4 wrt f. 336*f**2 Find the first derivative of -7 + 4 + 8 - 8*r**4 wrt r. -32*r**3 Let t(r) be the third derivative of 7*r**6/120 - r**4/4 + 5*r**2. What is the second derivative of t(f) wrt f? 42*f Let c be (-28)/49*7/(-2). What is the third derivative of -7*x**6 - 2*x**c + x**6 + 6*x**2 + 2*x**6 wrt x? -480*x**3 Suppose -7 - 25 = 4*h. Let y(d) = -d**2 - 7*d + 11. Let b be y(h). Differentiate 3 - 4 + 0*r + b*r wrt r. 3 Let w(v) be the third derivative of 7/6*v**3 - v**2 + 0 + 1/3*v**4 + 0*v. Differentiate w(n) with respect to n. 8 What is the second derivative of -22*o**3 - 30*o + 1513*o**2 - 1513*o**2 wrt o? -132*o Let z(f) = -11*f + f - 10 + 2*f - 5*f. Let o(i) = -20*i - 15. Let r(t) = 5*o(t) - 8*z(t). Differentiate r(c) wrt c. 4 Let i(x) = x**2 + 7*x - 4. Let n be i(-8). Find the second derivative of -l**2 - l**2 + n*l**2 - 2*l wrt l. 4 Suppose -3*c - 5*k + 25 = 0, 3*k + 7 = 2*c + 3. What is the derivative of -2*x**3 + 1 - c + 5 wrt x? -6*x**2 What is the third derivative of 0*t**4 - 20*t**2 - 6*t**4 + 12*t**2 - 2*t**4 wrt t? -192*t Find the second derivative of -11*l + 78*l**2 - 24*l**2 - 44*l**2 wrt l. 20 Let u(b) = -b**3 - b**2 + 5*b - 5. Let o(d) = -d**2 + d - 1. Let g(y) = 5*o(y) - u(y). What is the third derivative of g(c) wrt c? 6 Let f(l) = 49*l**2 + 33. Let j(x) = -147*x**2 - 99. Let h(m) = -11*f(m) - 4*j(m). What is the first derivative of h(z) wrt z? 98*z Let a(p) be the second derivative of 0*p**4 + 0*p**5 + 0*p**3 - 1/10*p**6 - 4*p + 3/2*p**2 + 0. What is the first derivative of a(w) wrt w? -12*w**3 Let a be 4/(-32) - (-68)/32. Suppose 0 = -0*q - 5*q + 15. What is the second derivative of -v + q*v - v - 2*v**a + 2*v wrt v? -4 Suppose -3*p + 3 = -3*g - 0*p, -2*p = -5*g + 7. Let r be 3 + (-1 - 0/(-2)). What is the third derivative of -3*k**g + 5*k**3 + k**r - k**3 wrt k? 6 Let c(n) be the second derivative of -n**5/4 + n**4/2 - 6*n. What is the third derivative of c(p) wrt p? -30 Let p(j) = -j**2 + 7*j + 4. Let w be p(7). Let m be (6 - 3)/3*5. What is the third derivative of b**2 + w*b**5 - 3*b**2 + 7*b**2 + b**m wrt b? 300*b**2 Let z(i) be the second derivative of i**8/560 + i**6/360 - 2*i**3/3 - i. Let h(k) be the second derivative of z(k). Find the third derivative of h(p) wrt p. 72*p Let s(n) = -32*n**5 + 11*n**4 - 9*n - 11. Let j(c) = 11*c**5 - 4*c**4 + 3*c + 4. Let m(o) = -11*j(o) - 4*s(o). What is the second derivative of m(v) wrt v? 140*v**3 Let u(l) = 5*l. Let n(h) = 4*h + 4*h + 1 - 3*h. Let x(b) = 4*n(b) - 3*u(b). What is the first derivative of x(k) wrt k? 5 Differentiate 3*o + 4*o**4 - 3*o - 1 wrt o. 16*o**3 Let u(w) be the second derivative of w**9/504 - w**5/20 + 3*w**2/2 + 2*w. Let k(l) be the first derivative of u(l). What is the third derivative of k(r) wrt r? 120*r**3 Let r(q) = 2*q - 2. Let y be r(5). Find the second derivative of -y*j + 0*j**5 + 5*j + 2*j**5 wrt j. 40*j**3 Find the second derivative of -2 + 2 + 6*z - 9*z**2 wrt z. -18 What is the first derivative of -6*z**3 - z**3 + 1 - 3 wrt z? -21*z**2 What is the derivative of -10*h - 4 - 5*h + 12*h wrt h? -3 Let u(m) = 9*m**3 + 2*m**2 - 11. Let g(r) = -2*r**2 - 6 + 5*r**3 + 0*r**2 + 3*r**2. Let q(s) = 11*g(s) - 6*u(s). Find the third derivative of q(v) wrt v. 6 Let l = 6 - 0. Find the third derivative of l*s**2 + 21 - 21 - 4*s**4 wrt s. -96*s Let j = 29 - 26. Let d = -3 - -6. What is the second derivative of -5*n - 5*n**3 + j*n**d - 3*n + 5*n wrt n? -12*n What is the second derivative of k**3 + 0*k**3 - 2*k - 3*k wrt k? 6*k Let c(v) be the second derivative of 7*v**5/10 - v**4 - 15*v. What is the third derivative of c(x) wrt x? 84 Let j(q) be the first derivative of 0*q**4 + 0*q**2 + q - 2 - 9/5*q**5 + 0*q**3. Differentiate j(h) with respect to h. -36*h**3 Let g(s) be the first derivative of -3*s**4/4 + s - 4. Differentiate g(c) wrt c. -9*c**2 Let k(o) = o**3 - 1. Let m(y) = -2*y**3 + 24*y + 3. Let c(s) = 3*k(s) + m(s). Find the second derivative of c(p) wrt p. 6*p Let t(z) be the third derivative of -z**7/70 + 3*z**5/20 + 20*z**2. Find the third derivative of t(m) wrt m. -72*m Suppose -11*m + 36 = -7*m. Find the second derivative of 6*s**3 - s**3 + s + m*s + s wrt s. 30*s Let n(l) = 103*l**3 - 17*l**2 - 114. Let y(t) = 17*t**3 - 3*t**2 - 19. Let r(b) = -6*n(b) + 34*y(b). Find the first derivative of r(m) wrt m. -120*m**2 Let f(q) = 34*q**4 + 17*q**2 - 53*q - 17. Let y(m) = 11*m**4 + 6*m**2 - 18*m - 6. Let s(z) = -6*f(z) + 17*y(z). What is the second derivative of s(g) wrt g? -204*g**2 Let u(t) be the first derivative of -8*t**5/5 - t**3 + 3. What is the third derivative of u(c) wrt c? -192*c Suppose 4*m - 5*a = 22, -2*m + 3*a = -0 - 12. Let v(g) = -g**2 + 7*g - 3. Let p be v(6). Find the third derivative of p*h**4 - 3*h + m*h + 2*h**2 wrt h. 72*h Suppose 2*b - 10 = -3*y, 0 = -5*y + 3*b - 0*b - 15. Let a = 3 - y. What is the first derivative of 2*m**4 - 3 - 20*m**3 + 20*m**a wrt m? 8*m**3 Let q(r) = 4*r**3 - 5*r**2 + 9*r - 41. Let g(p) = -3*p**3 + 6*p**2 - 10*p + 40. Let
{ "pile_set_name": "DM Mathematics" }
= -4*w, -m - 53 = -3*w. Calculate the least common multiple of (26/12 - (-6)/(-4))*3 and w. 16 Let x = -72 - -6. Let w = x - -68. Calculate the lowest common multiple of w and 7. 14 Let c be 132440/(-64) - (-3)/(-12). Let g = c + 2074. Find the common denominator of 35/2 and g. 8 What is the lowest common multiple of 18 and (-2652)/15*(-4 + 49/(-14))? 3978 What is the lowest common multiple of 6*11 - (-80)/(-40) and 216? 1728 Let s be 2/6 + 7645/15. Let w be ((-2)/(-4))/((-17)/s). Find the common denominator of -8/5 and (3/(-7))/(w/(-160)). 35 Let x = -60405/26 - -2320. Let z(q) = q**3 - 15*q**2 - 2. Let b be z(15). Find the common denominator of x and (-402)/18 + b/(-3). 78 Let j = -243 - 50. Find the common denominator of ((-1614)/24 - -5)/12 and 1/3 + j/6. 16 Let x = 2/7197 - -218293/57576. Find the common denominator of -1/96 and x. 96 Suppose 0 = 4*u - 0*h - 5*h - 16, -u + h + 4 = 0. Suppose -3*x = x + 2*t + 2, 13 = x - u*t. Calculate the common denominator of 73/4 and 0 + x*141/(-6). 4 Let v(x) = -52*x**3 - x**2 + 2*x + 2. Let l be v(2). Let j = -743/2 - l. What is the common denominator of 11/9 and j? 18 What is the common denominator of -1/11 and 983/6530 + (-61)/610? 7183 Let y = 8 + -14. Let d = 8339/1236 - 34/103. Find the common denominator of d and y/21 + 1670/504. 36 Let v be (-10)/(-4)*(-28)/(-35). Suppose -v*k = -5*a - 7 - 18, -3*a = 4*k + 15. Let f(g) = -4*g. What is the least common multiple of 18 and f(a)? 180 Suppose -8*v + 2088 = 10*v. Calculate the least common multiple of v and 18. 1044 Let z = -79 + 112. Let j(f) = f**2 - 7*f + 9. What is the lowest common multiple of z and j(6)? 33 Let o = 94 + -222. What is the common denominator of 29/2 and ((-2)/o)/(-5 - 2345/(-470))? 32 Let s = 8918 + -133711/15. Calculate the common denominator of -55/9 and s. 45 Let h(d) = 2*d**2 + 6*d + 2. Let a be h(-3). Suppose -a*k - 8*k = -160. What is the lowest common multiple of 8 and k? 16 Let m = 569 - 553. Calculate the lowest common multiple of m and 16. 16 Let j(r) = r**2 + r + 14. Let y be j(-8). Let v = -54 + y. Calculate the smallest common multiple of v and 20. 80 Calculate the common denominator of (-2 - 1) + 1 - 8216/(-3555) and -27/10. 90 Suppose 1471*d - 1475*d + 704 = 0. What is the least common multiple of d and 8? 176 Calculate the lowest common multiple of 111 and (-3776)/(-104) + 4/(-13). 1332 Suppose -23*a + 25*a + 28326 = 0. Let w = a + 169817/12. Calculate the common denominator of -89/32 and w. 96 Let u be 40 - (-1 + 1)/1. What is the smallest common multiple of 66 and (-2)/10 - (616/u)/(-7)? 66 Let p be (-781)/44 - (-2)/(-8). Calculate the smallest common multiple of (27/2)/(p/(-24)) and 8. 72 Let s(i) = -i**3 + 9*i**2 + 9*i - 1. Let q be s(7). Let z = 11 + -13. What is the common denominator of 82*4/q*z and 95/2? 10 Let s(w) = -w**2 - 13*w + 19. Let a be s(-14). Suppose 10*r = a*r + 20. Suppose -3*m = -4*m + 4. Calculate the lowest common multiple of r and m. 4 Let u = 2589413/738 - 75272/123. Let q = u + -2898. Calculate the common denominator of q and (43/5)/((-22)/5). 198 Suppose 11490967 = 4*a + 1950695. Let h be -2 + (a/48)/7. Let s = 7102 - h. Find the common denominator of -11/4 and s. 12 Let j = -4598 - -36869/8. Find the common denominator of j and -6 - ((-3210)/(-72))/(-5). 24 Let u(g) = g + 6. Let q be u(-3). Suppose k - 83 = -q. Suppose -k = -7*c + 3*c. Calculate the least common multiple of 4 and c. 20 Let r = 392 - 350. Calculate the least common multiple of 77 and r. 462 Suppose 35 = 11*r - 16*r. Find the common denominator of -131/18 and (0 - 0) + r/(-6). 18 What is the common denominator of 9 - (61173/(-810))/(-7) and 123/250? 2250 Suppose -8 = -2*t + o, t + 9*o - 6*o = 18. Calculate the lowest common multiple of t and 26. 78 Let j(h) = 7*h - 4 - 4 - 1 + 4. Let a be j(-5). Find the common denominator of (-3)/2 + (-16)/a and -95/8. 40 Suppose -99 = -5*l + 2*l. What is the least common multiple of (-2)/5 - ((-3)/(-1))/((-135)/1368) and l? 330 What is the common denominator of (111/6)/(((-2828)/(-8))/7) and 34/9? 909 Let q = 25835/12 - 2154. Let x = 9987 - 339593/34. What is the common denominator of x and q? 204 Let r = 86 - 76. Calculate the smallest common multiple of r and 8. 40 Let p = -16835183 + 23838621221/1416. Let u = 85/177 + p. Calculate the common denominator of u and (-32)/40 - (1 - -2). 120 What is the lowest common multiple of (116/1)/1 - -1 - 3 and 27? 1026 What is the common denominator of 148/(-27)*(0 - (-15)/10) and (3 + 562/(-18))/(-4)? 18 Let h = -623 + 767. Calculate the smallest common multiple of 16 and h. 144 Let h = 2/1761 + 2929/5283. Let v = -184 + 1347/7. Calculate the common denominator of h and v. 63 Suppose -3*v - 6 = -4*v. Let x(o) = -o**3 - 11*o**2 + 10*o + 21. Let s be x(-12). Suppose s = -3*g + 8*g. Calculate the least common multiple of g and v. 18 Let g(u) = u**3 + 7*u**2 + 4*u - 3. Let k = 0 + 11. Let b = k + -17. What is the least common multiple of 2 and g(b)? 18 Let l be 362/2232*(-8 + 11). Let k = l + 3/31. Let h = k + 19/24. Calculate the common denominator of h and 25/8. 8 Let g be -1*(3 + 134) + 0. Calculate the common denominator of 14 + -12 + g/6 and -37. 6 Suppose -7*l - 5282 = -16*l - 10*l. Let o(c) = 2*c - 2. What is the least common multiple of l and o(2)? 278 What is the common denominator of -57/188 and 1/10*(-6435)/(-154)? 1316 Let x(i) = i**3 + 10*i**2 + 8*i + 12. Let a be x(-9). Let b = a - 12. Suppose -19 = -2*u + b. What is the lowest common multiple of 20 and u? 140 Let n(t) = -17*t + 2. Let q be n(-2). Let s be (-2)/(-8) + (-1197)/q. Calculate the common denominator of s/(-18) + -2 - -1 and 79/28. 84 Let i = 963 + -471. Let j be (i/15)/((-2)/(-5)). What is the common denominator of 71/4 and 2 - (j/20)/(-1)? 20 Let x = 419/39 + -211322/19695. Let q = 7993/1010 - x. Calculate the common denominator of q and 79/8. 40 Let a = 42 - 30. Let c = 5 + -20. Let j = c - -23. Calculate the least common multiple of a and j. 24 Let q(b) = -b**3 - 18*b**2 - 15*b - 44. Let u be q(-17). What is the lowest common multiple of -1 - 2*u/12 and 33? 132 Find the common denominator of 89/34 and -9 + -7 + 7491/459. 306 Let i(f) = -2*f - 14. Let d = 29 - 21. What is the lowest common multiple of i(-9) and d? 8 What is the common denominator of (-71)/10*(-40)/400 and -61/10? 100 Let i(m) = m**2 - 2*m + 1. Suppose 92*a = 96*a - 96. Calculate the lowest common multiple of i(-2) and a. 72 Let n = -85848 - -21204486/247. Calculate the common denominator of 11/95 and n. 1235 Calculate the common denominator of (10122/(-828))/7 - (-12)/18 and 81/230. 690 Let p = 27 + 27. Calculate the smallest common multiple of p and 27. 54 Let x = -387 - -4250/11. Let w be 3 - (25194364/139680)/13. Let q = w + -1/4365. Calculate the common denominator of q and x. 88 Let f = -4/484929 + 628468204/26671095. Let t = -126/5 + f. What is the common denominator of 47 and t? 11 Let y(b) = -3*b + 20. Suppose -5*w = 5*a - 15, -4*a - a - 39 = -4*w. Let d(f) = -f**3 + 10. Calculate the lowest common multiple of y(w) and d(0). 10 Suppose 0*g = -g + 11. Suppose -r + 2 = 2*m - 7, 0 = -3*m. Suppose -5*f + r*f = 28. Calculate the least common multiple of f and g. 77 Let f be (-62)/4 + 11/(-22). Calculate the common denominator of 22/f - (-16)/32 and (91/66)/(2/(-6)). 88 What is the least common multiple of 10 and (11 + -2)/(-6*7/(-42))? 90 Let s(c) = -13*c + 1. Let d be s(1). Find the common denominator of 34/15 and 10 + d + (-59)/(-4). 60 Let w(s) be the second derivative of s**4/12 - s**3/3 - s**2/2 + 5*s. Let x be w(-2). Calculate the least common multiple of 78/21 - (-2)/x and 5. 20 Let d(b) = -b**2 + 7*b + 13. Let i be d(7). Let s(r) = -r + 19. Suppose -u - 2*u + 54 = 0. What is the smallest common multiple of s(i) and u? 18 Suppose -4*q = q - 75. Suppose -3*c + 15 = -39. Calculate the lowest common multiple of c and q. 90 Suppose 0 = 4*y + 3 - 35. Let z(w) = w**3 + 11*w**2 + 22*w + 5. What is the least common multiple of z(-4) and y? 232 Let i = 17 - 12. Suppose 0*w + i*w = b + 200, -w + 36 = -b. What is the lowest common multiple of 1 and w? 41 Let a(f) = -3*f + 37. Let w be a(0). Suppose -13 = -5*v + w. Suppose q - 40 = -4*q. What is the least common multiple of v and q? 40 Let x = 2993/16
{ "pile_set_name": "DM Mathematics" }
t equal to 0.3? True Which is smaller: -48/203 or -146? -146 Which is greater: -6/67 or -618? -6/67 Is 0 equal to 84/714601? False Is 2354 bigger than 2384? False Is -418/13 < -9.7? True Does 299/11 = 0? False Is -1/4125 equal to 0? False Which is smaller: -40 or -11912/309? -40 Is -238/6967 bigger than -1? True Is -0.03 at most as big as -1/373? True Are -29973 and 0 non-equal? True Which is smaller: -0.5 or 60029? -0.5 Is 15751 <= -3? False Are -1 and 6/174589 nonequal? True Which is smaller: -478 or -871? -871 Is 177900/13 greater than 13685? False Which is smaller: 12 or -2685? -2685 Which is greater: 1/3 or -6/2987? 1/3 Are 1222 and 481 non-equal? True Is 218.0744 > 2/9? True Which is greater: 1 or 2/894115? 1 Which is smaller: 21034 or 21033? 21033 Which is greater: -426 or -113? -113 Which is greater: -0.2 or 0.0282398? 0.0282398 Which is smaller: 9 or 382.3? 9 Is -5393 bigger than -5493? True Which is smaller: -570 or 5159? -570 Which is bigger: -7/945880 or -1? -7/945880 Do 28 and -4.5126 have the same value? False Is 101982 greater than or equal to -1? True Is -32 equal to -12818? False Which is greater: -3763722 or 1/4? 1/4 Are -3 and -64697 nonequal? True Is 14 at least 4163? False Is 105/15416 <= 1? True Which is bigger: -28326 or -8/7? -8/7 Which is greater: -46927 or -46905? -46905 Which is smaller: -3/5 or 16622/39? -3/5 Which is smaller: -19 or -99? -99 Which is smaller: -47/19 or -3/65? -47/19 Which is smaller: 31 or 24200? 31 Which is smaller: 0.6 or 19213? 0.6 Is 52733 at most as big as 52754? True Does -4 = 27410.2? False Does -25/9 = 49.29? False Which is smaller: -18 or 266? -18 Is -210967 at least -210966? False Which is greater: 352239 or 352238? 352239 Which is smaller: 4872 or 4871? 4871 Which is smaller: -323 or -3972? -3972 Is 20400 >= 20396? True Which is smaller: 13/13172 or -1? -1 Is -2 <= -1057/195? False Which is greater: 0.0963073 or 1? 1 Is -5932/3 != -2? True Do 635431 and 635429 have different values? True Are -222284 and -222285 unequal? True Which is smaller: -29936 or -29944? -29944 Is 2 >= 156/283? True Which is bigger: -45937 or -45939? -45937 Which is smaller: 40 or 2089/52? 40 Which is smaller: 8 or 769/110? 769/110 Is 144806/5 bigger than -4/11? True Which is greater: -69133 or -69128? -69128 Which is smaller: 6133 or 6152? 6133 Which is bigger: -294 or -219? -219 Which is bigger: -31/5 or -224? -31/5 Which is bigger: 0.141 or 3.1? 3.1 Are -2 and -2134/1383 unequal? True Is 154.7 at least 0.75? True Which is smaller: -5222 or -26117/5? -26117/5 Which is greater: -5235 or -5216? -5216 Are 0 and 2/11397 non-equal? True Which is smaller: -0.1 or -1133087? -1133087 Is -215355 at least -215355? True Which is smaller: -1 or -7/2775? -1 Which is smaller: -1649240/3 or -549748? -549748 Is -1 != -1/1010065? True Which is greater: -169/1321 or 1? 1 Which is bigger: -3 or -6706? -3 Which is greater: -2/2146745 or -1? -2/2146745 Is 0.04 at most -168328? False Which is smaller: 6513 or 71659/11? 6513 Which is smaller: 1 or -9/111467? -9/111467 Does -2/1338651 = 0? False Is -88448 less than or equal to -88454? False Which is smaller: -13 or -134127? -134127 Is -22650 at most as big as -22669? False Is -7/31893 less than or equal to -1? False Is -897 <= -0.039? True Is -66429 != -66415? True Is -164899 smaller than -164902? False Is -1025 >= -1060? True Which is smaller: 27903 or 27910? 27903 Is -68141 <= -68143? False Which is greater: -232/77371 or 1? 1 Is -1 at most -311/1337? True Do -6/11 and 2170/23 have the same value? False Which is bigger: 6379/21 or 304? 304 Is -31 equal to 1.531? False Is -415 not equal to -17042/41? True Which is bigger: 120 or -64339? 120 Does -96 = -179? False Is 19 != 0.0232? True Is 0 less than -1/15980? False Which is smaller: -561.16 or -33/4? -561.16 Is 2/65473 smaller than 1? True Which is greater: -1/676200 or -1? -1/676200 Are -69124 and 0 equal? False Which is smaller: 0 or 791/3988? 0 Which is smaller: 107 or 502? 107 Which is smaller: 162/11 or 16/9? 16/9 Is 0.23 greater than -107/336? True Is 37 less than 532? True Which is smaller: 185820 or 371641/2? 185820 Is -29870 < -29869? True Which is smaller: 5/646606 or 1? 5/646606 Is -21 greater than or equal to 9728? False Is 3546 smaller than 3547? True Which is greater: -103107/4 or -25777? -103107/4 Is -6/98783 equal to -1? False Is 1 < -12/2887? False Which is smaller: -12 or 5750? -12 Is 202367 less than 202365? False Is 480416 at most 480418? True Is -347 <= 251? True Which is bigger: -2 or -1198/851? -1198/851 Which is bigger: 1048808 or 1048810? 1048810 Does 58947 = 58947? True Which is bigger: 32351 or 1/2? 32351 Which is smaller: -59457 or -59455? -59457 Is 3/218027 smaller than -1? False Is 3/95 < 27? True Does 347/431 = 0? False Are 0 and -2/30593 unequal? True Which is greater: 5/35007 or 1? 1 Is -54/89965 less than 0? True Is 209491 < 209491? False Which is smaller: -15/8 or -67? -67 Are -88.94 and 14 nonequal? True Is 4382 < 4377? False Which is bigger: 78799 or 78792? 78799 Is -4.3 equal to -3/3121? False Which is smaller: 3212 or 3207? 3207 Which is bigger: 511 or -400? 511 Which is smaller: -2/537 or -1/37? -1/37 Which is smaller: 2401150 or 2401149? 2401149 Which is greater: -0.4 or 387765? 387765 Which is bigger: -7 or 130713? 130713 Is 90396 not equal to 90396? False Which is smaller: 195866 or 979329/5? 979329/5 Is -372879 > -372880? True Is 3624 at least -2/5? True Which is bigger: -228915 or -686743/3? -686743/3 Is -1 greater than -39/7141? False Which is bigger: 42301 or 42307? 42307 Do 29 and 202 have the same value? False Are -594/13 and -47 equal? False Which is bigger: -375966 or -1879833/5? -375966 Is -5293.8 not equal to 1.6? True Which is bigger: -5958 or -0.087? -0.087 Which is smaller: -16.95 or -56? -56 Are 1 and -467/4895 non-equal? True Which is smaller: -5/247582 or 1? -5/247582 Which is greater: 1/5 or -3.81? 1/5 Is 33904 smaller than 33911? True Is -4/1178241 greater than or equal to 0? False Which is smaller: -3572688 or -3572689? -3572689 Is -3/139237 bigger than -1? True Which is smaller: -177290 or 1/3? -177290 Which is greater: -1 or -2/351939? -2/351939 Are 11685 and 11685 unequal? False Is -1 bigger than -3/4365011? False Which is smaller: -94 or 146? -94 Which is greater: 7178 or 35884/5? 7178 Which is smaller: 1 or 4/228813? 4/228813 Which is smaller: 3301 or 3? 3 Which is greater: 2/1769 or 1149? 1149 Is -74417/6 greater than -12402? False Does -21/13507 = 1/6? False Is -1 > 10566? False Which is greater: -11.55 or 3/95? 3/95 Which is smaller: 89056 or 267170/3? 89056 Is 20 > -29200? True Are -0.09 and 35319 equal? False Is 1 <= 59/41431? False Is 1 smaller than 7/10540? False Is -104/9 equal to -37/5? False Which is bigger: 4980 or 5518? 5518 Are -2665470 and -2665470 nonequal? False Is -3218/5 less than or equal to 86? True Is 64/547 greater than or equal to -20? True Which is bigger: -8821 or 1/4? 1/4 Is -7 at most -7546/1009? False Is 0.096 at most as big as 2/759? False Is 2 at least 196.531? False Is 0.059011 smaller than -1? False Which is bigger: 24259 or 97041/4? 97041/4 Which is greater: -479845/2 or -239924? -479845/2 Which is smaller: -1 or -187/427? -1 Which is bigger: 0.1 or 751296? 751296 Is -30 at least as big as -7574/251? True Which is bigger: 5/471519 or -1? 5/471519 Is -15592 at least -15461? False Which is smaller: 163283 or 3? 3 Which is greater: 1660 or 1568? 1660 Which is smaller: 9758 or 9753? 9753 Is 0 less than or equal to -24/9019? False Which is bigger: -2/72279 or -1? -2/72279 Is -0.08 bigger than -39/253? True Which is greater: 2161 or 25915/12? 2161 Is -498/653 greater than or equal to -2? True Which is smaller: 26115 or 26126? 26115 Is 247276 greater than or equal to 247275? True Which is smaller: 5 or 44885? 5 Which is smaller: -72000 or -72002? -72002 Is -1/10 >= -2266? True Is 3296 at most 16477/5? False Which is smaller: 8569 or 8595? 8569 Which is bigger: 31745 or 31751? 31751 Is -1 != -5/1247? True Which is greater: -16582 or -16557? -16557 Which is smaller: 54 or -358? -358 Which is smaller: -3536363 or -3536362? -3536363 Is -151252 equal to -151251? False Is -14929/5 equal to -2987? False Is 1726 equal to 3/32? False Which is small
{ "pile_set_name": "DM Mathematics" }
without replacement from {q: 3, o: 5, z: 2}. Give prob of picking 1 z and 1 o. 2/9 Two letters picked without replacement from ttuw. What is prob of picking 2 t? 1/6 Three letters picked without replacement from {o: 1, p: 1, w: 1, k: 2, z: 1, m: 1}. What is prob of picking 1 w, 1 p, and 1 m? 1/35 What is prob of picking 2 b and 1 y when three letters picked without replacement from {y: 6, s: 1, n: 6, b: 6, l: 1}? 3/38 Four letters picked without replacement from {x: 2, t: 2, v: 10}. Give prob of picking 1 t, 1 x, and 2 v. 180/1001 Calculate prob of picking 2 a when two letters picked without replacement from qiiixaiiixiqiqiaiax. 1/57 Four letters picked without replacement from xxxxdxxddd. What is prob of picking 2 d and 2 x? 3/7 Four letters picked without replacement from ptttbtttpritprtrtp. Give prob of picking 2 p, 1 t, and 1 i. 3/170 Four letters picked without replacement from {j: 9, o: 9}. What is prob of picking 3 o and 1 j? 21/85 Three letters picked without replacement from mmmwmmmw. Give prob of picking 1 m and 2 w. 3/28 Three letters picked without replacement from {e: 3, h: 2, u: 1, w: 1}. What is prob of picking 1 w, 1 u, and 1 e? 3/35 Calculate prob of picking 1 v and 2 c when three letters picked without replacement from ecceccceevv. 4/33 What is prob of picking 2 d when two letters picked without replacement from {d: 6, n: 4}? 1/3 What is prob of picking 1 o and 1 s when two letters picked without replacement from oso? 2/3 Two letters picked without replacement from {c: 2, k: 1, s: 1, x: 4}. Give prob of picking 1 k and 1 c. 1/14 Calculate prob of picking 1 y and 1 g when two letters picked without replacement from fyyffygjyjjfgagfjj. 4/51 Two letters picked without replacement from {g: 1, k: 1, j: 1}. Give prob of picking 1 j and 1 k. 1/3 Three letters picked without replacement from qxxqxxxx. What is prob of picking 2 x and 1 q? 15/28 Two letters picked without replacement from {c: 1, w: 2, l: 7}. Give prob of picking 2 l. 7/15 Calculate prob of picking 1 h, 1 s, and 2 c when four letters picked without replacement from {h: 1, p: 5, r: 4, c: 2, s: 2, e: 1}. 2/1365 Three letters picked without replacement from {t: 7, z: 2, x: 2, r: 6, q: 1}. What is prob of picking 1 r, 1 q, and 1 z? 1/68 What is prob of picking 3 i and 1 w when four letters picked without replacement from wiwwiwiwwiwiwiwwwiii? 308/1615 Four letters picked without replacement from llllllbbllblllbllbl. Give prob of picking 3 l and 1 b. 455/969 Calculate prob of picking 1 q, 1 j, and 1 b when three letters picked without replacement from {j: 4, y: 4, d: 1, q: 1, t: 1, b: 1}. 1/55 What is prob of picking 3 r when three letters picked without replacement from {p: 4, r: 14}? 91/204 Calculate prob of picking 1 z, 1 l, 1 t, and 1 a when four letters picked without replacement from {l: 1, z: 1, c: 1, t: 1, a: 1}. 1/5 Two letters picked without replacement from {h: 2, y: 2}. What is prob of picking 2 h? 1/6 Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 3, k: 6, v: 8}. 9/68 Two letters picked without replacement from jxjbxjjoxojbxomx. Give prob of picking 1 b and 1 j. 1/12 What is prob of picking 2 v and 1 s when three letters picked without replacement from savasvvissskvja? 6/91 What is prob of picking 3 h when three letters picked without replacement from {x: 1, c: 1, h: 4, k: 1, v: 1}? 1/14 Four letters picked without replacement from yjpybqiq. Give prob of picking 1 b, 1 p, 1 i, and 1 j. 1/70 Two letters picked without replacement from {c: 2, a: 1, p: 1, z: 2, k: 6, t: 6}. What is prob of picking 1 k and 1 c? 4/51 Two letters picked without replacement from xxxvxxxxxvx. What is prob of picking 1 v and 1 x? 18/55 Three letters picked without replacement from {y: 1, t: 3, r: 4, u: 2}. What is prob of picking 1 y, 1 t, and 1 u? 1/20 Three letters picked without replacement from usnuuluuulnuulluub. Give prob of picking 3 u. 5/34 Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {z: 1, k: 1, a: 2, w: 2, g: 7, d: 1}. 2/91 Four letters picked without replacement from oogsauspp. What is prob of picking 1 g, 1 p, and 2 o? 1/63 Two letters picked without replacement from {t: 2, s: 1, c: 1, u: 1}. Give prob of picking 1 t and 1 c. 1/5 Two letters picked without replacement from ppppeppppppppppeeee. Give prob of picking 2 p. 91/171 Two letters picked without replacement from {o: 5, z: 1, m: 1, s: 4}. Give prob of picking 2 m. 0 Four letters picked without replacement from qqqqqqq. Give prob of picking 4 q. 1 What is prob of picking 1 n and 1 s when two letters picked without replacement from {n: 7, s: 1}? 1/4 Three letters picked without replacement from {h: 7, i: 7}. Give prob of picking 3 h. 5/52 Calculate prob of picking 2 l when two letters picked without replacement from hhhjjlqhy. 0 Three letters picked without replacement from {d: 14, g: 5, l: 1}. What is prob of picking 2 g and 1 l? 1/114 Three letters picked without replacement from {d: 1, b: 1, j: 5, a: 3}. Give prob of picking 1 b, 1 d, and 1 a. 1/40 Two letters picked without replacement from {l: 14, o: 5}. What is prob of picking 2 l? 91/171 Four letters picked without replacement from {h: 4, d: 2, t: 1, w: 2, j: 1}. Give prob of picking 1 h, 1 j, and 2 d. 2/105 Two letters picked without replacement from wmttyes. What is prob of picking 1 t and 1 y? 2/21 Three letters picked without replacement from {k: 2, c: 2, y: 1, u: 1}. What is prob of picking 2 c and 1 k? 1/10 Four letters picked without replacement from {b: 6, l: 2}. Give prob of picking 4 b. 3/14 Three letters picked without replacement from {f: 1, v: 1, d: 1, x: 1, e: 1}. Give prob of picking 1 e, 1 v, and 1 f. 1/10 Two letters picked without replacement from ccczcczcc. What is prob of picking 1 c and 1 z? 7/18 Calculate prob of picking 3 m and 1 v when four letters picked without replacement from {m: 4, v: 2, n: 2}. 4/35 Two letters picked without replacement from wawaawuwdii. What is prob of picking 1 a and 1 d? 3/55 Four letters picked without replacement from issaasahaaasaashhiik. What is prob of picking 2 a and 2 h? 28/1615 Two letters picked without replacement from wqwfnwn. What is prob of picking 2 w? 1/7 Four letters picked without replacement from {w: 6, g: 6}. What is prob of picking 1 w and 3 g? 8/33 What is prob of picking 1 z, 1 h, and 2 u when four letters picked without replacement from hwjuuzuwuwjwwgzuu? 3/238 Four letters picked without replacement from {v: 4, j: 3, l: 6}. What is prob of picking 1 l, 1 j, and 2 v? 108/715 What is prob of picking 1 v and 1 r when two letters picked without replacement from rvkmkqqi? 1/28 Calculate prob of picking 4 b when four letters picked without replacement from bbfbbbbbf. 5/18 What is prob of picking 1 v, 1 d, and 1 j when three letters picked without replacement from vvebevvvvjdvveeevevj? 1/57 Three letters picked without replacement from {w: 6, z: 2, y: 4}. What is prob of picking 2 z and 1 w? 3/110 What is prob of picking 1 u and 1 d when two letters picked without replacement from {u: 2, a: 4, d: 1, r: 3, l: 1, n: 1}? 1/33 Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {c: 1, p: 3, h: 1, m: 1, u: 1}. 1/21 Calculate prob of picking 1 o, 1 f, 1 j, and 1 s when four letters picked without replacement from jsssjfsosssos. 32/715 What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 2, l: 3, d: 4, q: 1, t: 4}? 8/91 Two letters picked without replacement from hoeoeorotrogoogeg. What is prob of picking 2 o? 21/136 Calculate prob of picking 2 l when two letters picked without replacement from {a: 5, l: 9}. 36/91 Two letters picked without replacement from ofvonovvvvnonvbn. Give prob of picking 1 o and 1 f. 1/30 What is prob of picking 1 q and 1 v when two letters picked without replacement from uuvuquvquuvvvuv? 4/35 Four letters picked without replacement from yjyyjjzjj. Give prob of picking 2 j and 2 y. 5/21 What is prob of picking 3 i and 1 v when four letters picked without replacement from vvvvvviviivv? 1/55 Two letters picked without replacement from zzqzqz. Give prob of picking 1 z and 1 q. 8/15 Calculate prob of picking 1 c, 1 w, and 1
{ "pile_set_name": "DM Mathematics" }
ked without replacement from wwwxwxxwwwwwwxwwww. 91/612 Four letters picked without replacement from {s: 1, p: 5, k: 1, b: 3, u: 5}. Give prob of sequence ppkb. 1/546 Calculate prob of sequence de when two letters picked without replacement from {d: 6, e: 6}. 3/11 Three letters picked without replacement from {v: 7}. Give prob of sequence vvv. 1 Calculate prob of sequence yy when two letters picked without replacement from {r: 2, y: 7, t: 6}. 1/5 Four letters picked without replacement from wmvmmvmywywmmmmm. What is prob of sequence yymm? 3/910 Three letters picked without replacement from qqqqnnqqqqqqnnqqqn. What is prob of sequence qqn? 65/408 What is prob of sequence tt when two letters picked without replacement from wbzztt? 1/15 What is prob of sequence ooy when three letters picked without replacement from ykooykkkoyokoofko? 21/680 What is prob of sequence yk when two letters picked without replacement from {k: 3, v: 4, y: 1, a: 1, b: 1, j: 2}? 1/44 Two letters picked without replacement from {e: 1, u: 4, z: 2, o: 1, t: 2, n: 7}. What is prob of sequence oz? 1/136 Calculate prob of sequence sbib when four letters picked without replacement from ibsbssssb. 5/504 What is prob of sequence ggr when three letters picked without replacement from rkrrkrrrgsgrr? 4/429 What is prob of sequence il when two letters picked without replacement from {l: 3, m: 1, i: 1}? 3/20 Three letters picked without replacement from ngmgnnmmbbmmbnngn. What is prob of sequence ngm? 3/136 Two letters picked without replacement from wnxkrkrrurkk. What is prob of sequence uk? 1/33 Three letters picked without replacement from bpkhwkypy. Give prob of sequence pby. 1/126 Two letters picked without replacement from uurqruqarrrrrur. Give prob of sequence ar. 4/105 Four letters picked without replacement from axmcmoooaammomxxwmw. What is prob of sequence oaoo? 1/1292 Four letters picked without replacement from dhvvvkknnnmv. Give prob of sequence hkvd. 1/1485 What is prob of sequence jw when two letters picked without replacement from {j: 4, w: 1, q: 2}? 2/21 Two letters picked without replacement from tqqjemo. Give prob of sequence mj. 1/42 Two letters picked without replacement from {q: 17, h: 3}. Give prob of sequence hq. 51/380 What is prob of sequence bo when two letters picked without replacement from obbobbobbbboo? 10/39 What is prob of sequence kn when two letters picked without replacement from {n: 2, k: 11, c: 6}? 11/171 What is prob of sequence rto when three letters picked without replacement from {t: 1, o: 3, p: 5, r: 1}? 1/240 Three letters picked without replacement from {n: 1, h: 3, e: 3, j: 2, i: 1}. Give prob of sequence ijh. 1/120 Three letters picked without replacement from {r: 13, t: 2, b: 3}. Give prob of sequence tbr. 13/816 What is prob of sequence yyyr when four letters picked without replacement from {r: 5, y: 9}? 15/143 Two letters picked without replacement from hwhukhqhhkwhhhq. Give prob of sequence wq. 2/105 Four letters picked without replacement from {k: 6, g: 2, l: 8, j: 2}. What is prob of sequence gkjl? 2/765 Two letters picked without replacement from {a: 3, u: 1}. What is prob of sequence au? 1/4 Four letters picked without replacement from {q: 2, c: 4, g: 1}. What is prob of sequence ccqq? 1/35 Calculate prob of sequence ihhw when four letters picked without replacement from {w: 2, h: 3, z: 5, i: 6, l: 2}. 1/1020 Four letters picked without replacement from nzpypnddznyzvn. What is prob of sequence dnyd? 2/3003 Four letters picked without replacement from {x: 6, t: 1, j: 8, f: 1}. Give prob of sequence jxjt. 1/130 Calculate prob of sequence aoo when three letters picked without replacement from {a: 2, o: 2, s: 4}. 1/84 What is prob of sequence phh when three letters picked without replacement from {h: 2, p: 8}? 1/45 What is prob of sequence fdyq when four letters picked without replacement from dyqfyqqqdyqq? 1/330 Calculate prob of sequence fz when two letters picked without replacement from {f: 6, z: 2}. 3/14 Three letters picked without replacement from hcmhuccca. Give prob of sequence mca. 1/126 Three letters picked without replacement from {c: 4, h: 1, p: 2, z: 6, b: 2}. Give prob of sequence zpb. 4/455 Two letters picked without replacement from {g: 1, t: 2, f: 2, z: 1}. What is prob of sequence gz? 1/30 Calculate prob of sequence nyw when three letters picked without replacement from {h: 6, y: 2, w: 3, j: 1, n: 2, r: 1}. 2/455 Calculate prob of sequence zos when three letters picked without replacement from {g: 4, z: 1, s: 4, l: 1, o: 3}. 1/143 Calculate prob of sequence rcrc when four letters picked without replacement from rcrcr. 1/10 Four letters picked without replacement from {j: 2, p: 1, u: 1, q: 1, g: 2, l: 2}. Give prob of sequence uqpg. 1/1512 Calculate prob of sequence yne when three letters picked without replacement from neneeeedecyeye. 4/273 What is prob of sequence ewaa when four letters picked without replacement from aewssagwsasmgswgswwm? 1/3876 Two letters picked without replacement from {u: 1, m: 2, c: 1, p: 2, z: 1, f: 1}. Give prob of sequence mz. 1/28 What is prob of sequence ifo when three letters picked without replacement from xfqfooxiogf? 1/110 Three letters picked without replacement from ifllglly. Give prob of sequence gyi. 1/336 Two letters picked without replacement from {f: 1, n: 2, q: 5, r: 3, t: 1}. What is prob of sequence nq? 5/66 Calculate prob of sequence dv when two letters picked without replacement from vvvvqvqqdvevdqqqidde. 7/95 Two letters picked without replacement from lltlnvlllnnnnltl. What is prob of sequence nt? 1/24 Three letters picked without replacement from {c: 1, b: 4, p: 1, n: 2, k: 1}. Give prob of sequence bbb. 1/21 What is prob of sequence uuz when three letters picked without replacement from {u: 16, z: 2}? 5/51 Calculate prob of sequence aaba when four letters picked without replacement from {a: 3, b: 1}. 1/4 What is prob of sequence nnn when three letters picked without replacement from {n: 14, k: 5}? 364/969 Four letters picked without replacement from jmuumremummvujj. What is prob of sequence uvuj? 1/910 Three letters picked without replacement from zzzfzzzzzzzzzzzzzzz. Give prob of sequence fzz. 1/19 Two letters picked without replacement from wwvwanawwwnonavn. What is prob of sequence ao? 1/80 Four letters picked without replacement from oscscmscousmcommsc. What is prob of sequence moum? 1/2040 Two letters picked without replacement from cgscsccghsccgcccchc. Give prob of sequence hh. 1/171 Three letters picked without replacement from qqqzbqbibzqqqqbqq. What is prob of sequence iii? 0 Two letters picked without replacement from lqqqlqllllllll. Give prob of sequence lq. 20/91 Three letters picked without replacement from oonooooonnoononoono. Give prob of sequence onn. 65/969 Calculate prob of sequence tyhy when four letters picked without replacement from {t: 5, h: 5, y: 6, j: 1, q: 3}. 25/3876 Four letters picked without replacement from {t: 4, s: 7, h: 5}. What is prob of sequence thth? 1/182 Calculate prob of sequence rrr when three letters picked without replacement from {m: 3, r: 3}. 1/20 Calculate prob of sequence wz when two letters picked without replacement from wwz. 1/3 Three letters picked without replacement from {k: 2, f: 1, s: 1, y: 1, j: 2, l: 1}. What is prob of sequence fjy? 1/168 Two letters picked without replacement from jejqqjjejjqjjqq. What is prob of sequence qj? 4/21 What is prob of sequence wwo when three letters picked without replacement from {w: 12, o: 3}? 66/455 Calculate prob of sequence sp when two letters picked without replacement from {o: 5, s: 5, b: 5, p: 2}. 5/136 Calculate prob of sequence vwvv when four letters picked without replacement from {w: 1, v: 12}. 1/13 What is prob of sequence yrrp when four letters picked without replacement from jpryr? 1/60 What is prob of sequence vv when two letters picked without replacement from ppvpvvtvppvvpvvpvvvp? 11/38 Two letters picked without replacement from {q: 7, j: 6}. Give prob of sequence jj. 5/26 Four letters picked without replacement from {u: 4, t: 5, o: 1, k: 1, c: 1}. What is prob of sequence tutc? 2/297 Two letters picked without replacement from tehuszhe. What is prob of sequ
{ "pile_set_name": "DM Mathematics" }
2 Evaluate (405/(-150))/((-24)/4)*4/3. 3/5 1*2*19/((-4)/14*14) -19/2 12/((-252)/7)*15 -5 Calculate 54/12*(-8736)/(-1404). 28 What is (-7)/(15/9*252/35)*3? -7/4 Calculate 1*12*(1190/(-68))/(-35). 6 What is 6/(-26)*(24/90)/((-34)/85)? 2/13 What is (-2)/(-12)*-234*(-60)/180? 13 What is the value of (23/(-805))/((-1)/(-10)*-1)? 2/7 What is the value of ((-30)/(-96))/((-61)/(-1952))? 10 Evaluate (4/12)/((6/135)/(456/(-190))). -18 Calculate (((-12)/8)/(18/(-4)))/((-624)/144). -1/13 What is (29/((-696)/96))/((-10)/1)? 2/5 Calculate (-40)/22*3014/548. -10 Calculate (-36)/((-6)/36*9*-1). -24 Calculate -7*(-1)/(-36)*12. -7/3 What is the value of ((10440/(-140))/(-29))/(9/(-21))? -6 ((-36)/(-15))/6*(-33)/(-22) 3/5 Evaluate -1*(-2)/(-5)*((-1920)/(-8))/8. -12 What is the value of (-8)/80*90/(-27)? 1/3 Calculate (12/30)/((-2688)/240). -1/28 What is the value of ((-84)/(-1386))/(2/(-12))? -4/11 What is the value of 9/702*-13*3/1? -1/2 What is 27/810*-114*-1*5? 19 Evaluate ((-158)/(63200/2640))/(2/(-10)). 33 Evaluate (12*21/(-420))/(1/(-120)*-3). -24 (-18)/4*21*(-14)/441 3 What is the value of ((-80)/(-15))/2*57/76? 2 Calculate (3/(-8))/((-36)/(-72)). -3/4 Evaluate 1755/(-12675)*(-15)/(-9). -3/13 Calculate (-7)/((-1715)/(-70))*(-49)/(-1). -14 ((-8)/(-40))/((-55)/165) -3/5 What is (1/3)/(((-423)/(-351))/47)*1? 13 (2/(-22))/(37/(-407))*1*-3 -3 Calculate ((-2709)/(-39732))/((-6)/(-16)). 2/11 Evaluate 75/(-6)*(-23)/(-230). -5/4 (-1*2/(-28))/(220/6930) 9/4 Calculate 110/15*(-750)/125*(-6)/8. 33 Calculate 156/2*((-289)/(-17))/(-34). -39 What is the value of (-20)/(-3)*(10863/(-255))/71? -4 (580/(-522))/((-135)/(-972)) -8 What is 4/(-4)*348/580? -3/5 Evaluate 21*(-12)/(-432)*6*-2. -7 What is (((-11780)/434)/(-95))/((-2)/168)? -24 Evaluate ((-2080)/(-12))/(-8)*138/(-115). 26 What is ((-1)/((-5)/(-4)))/((-2562)/4575)? 10/7 (-25)/((8*3/12)/2) -25 What is (-2)/21*(-301)/430? 1/15 What is ((-540)/(-27))/(-260)*169? -13 What is the value of (435/1044)/((-50)/(-12))? 1/10 7/21*(-30)/280*-8 2/7 Evaluate 7/22*(-2736)/9576. -1/11 Evaluate (-15)/(-18)*(-369)/4305. -1/14 What is (2*1/6)/(2*1/(-30))? -5 What is the value of ((-9)/((-162)/16))/((6/(-54))/(-1))? 8 What is ((-104)/32)/(2834/436)? -1/2 What is the value of (-4)/(((-56)/9)/14)? 9 (27/36*(-4)/6)/(31/(-31)) 1/2 What is 1*2/((-50)/75)? -3 Evaluate (28/(-6))/((-4340)/2232). 12/5 What is (-3)/(3/10)*2655/1062? -25 Evaluate ((-22)/(-4))/((-7821)/(-39816)). 28 Calculate (-87)/(((-4)/6)/((-720)/3240)). -29 Evaluate (-2*(-15)/210)/((-8)/(-784)). 14 Evaluate 18*(-10*6/360)/(1/2). -6 (-20)/6*4/(-5)*(-231)/(-154) 4 What is (3/(-9))/(9/(-18))*(-6)/(-68)? 1/17 What is the value of (-30)/((-22)/484*-33)? -20 Calculate (-15)/(-4)*(-28)/840*6. -3/4 What is the value of ((-11)/(-1))/(((-41)/(-287))/(3/(-21)))? -11 Evaluate (-90)/4*(-364)/273. 30 What is (15/(-168))/(5/(-12))? 3/14 What is (272/1020)/(2/(-255))? -34 (((-1)/2*44)/10)/(2/(-10)) 11 What is (7/(-21)*(-52)/(-143))/(8/(-6))? 1/11 Calculate ((-12)/4)/(-1*40/8). 3/5 What is the value of -18*10/(-600)*5/9? 1/6 Calculate ((-1)/63)/(107/(-642)). 2/21 Evaluate 15/(1*65/39). 9 Evaluate ((-220)/(-198))/((-29)/(-29)). 10/9 5/(-30)*4*9 -6 What is the value of (-1)/((4/20*(-2465)/(-34))/1)? -2/29 What is the value of (-1)/(3/(-1))*3168/(-88)? -12 Calculate (((-99)/(-44))/1)/((-6)/4). -3/2 What is the value of ((-39)/(-52))/((3/14)/((-2016)/(-392)))? 18 Evaluate (-180)/(-1275)*65/(-52). -3/17 What is the value of 3/(-9)*(-7980)/(-380)? -7 Calculate (((-5)/(-28))/((-18)/144))/((-3)/21). 10 Calculate ((-12)/(-11))/((-2236)/559). -3/11 Calculate 495/(-11)*4/12*(-17)/(-17). -15 Evaluate (582/(-6402))/(-2*4/374). 17/4 What is (-741)/(-57)*(-2)/(-2)*1? 13 (-12)/(-1)*2/(-1605)*75/(-60) 2/107 Calculate (60/(-14))/(798/1862). -10 What is (162/(-21))/((-8)/(-1568)*-42)? 36 What is 24/(-30)*90/((-45)/(-15))? -24 Calculate (1348/(-5055))/(2/(-40)). 16/3 Calculate 350/70*(-3)/(-45)*-93. -31 Evaluate 28/350*1705/(-62). -11/5 9*2/(-66)*(-1)/(6/(-4)) -2/11 -1*7/(-658)*14/(-7)*2 -2/47 Evaluate ((-14)/((-308)/363))/(99/(-132)). -22 What is -161*1*((-8)/16)/((-7)/(-2))? 23 What is (-3)/(-78)*2*(-279)/(-279)? 1/13 (1/(-4))/(6/(-20)*(-445)/(-4806)) 9 (-22)/(17*50/170) -22/5 What is the value of ((-20)/56*-2)/(((-35)/10)/(-7))? 10/7 Calculate (3/(-4))/((-3)/1*(-13)/(-884)). 17 Evaluate 4*((-6)/27)/(18/81*2). -2 Calculate 9/2*(-2)/9*1620/(-108). 15 (-250)/720*-12*(-3)/20*2 -5/4 What is 460/(-10465)*78/36? -2/21 What is the value of (-1)/(-3)*(-112)/24*(-12)/16? 7/6 6/27*(-162)/252 -1/7 Evaluate (12/(-4))/(((-81)/(-18))/(42/1)). -28 Evaluate (-24)/(-196)*224/(-64). -3/7 What is (-35)/(-20)*(-9)/((-27)/(-4))? -7/3 Evaluate (2/(-19))/((-5)/95)*1/(-3). -2/3 Evaluate (16/(-58))/(2082/(-10063)). 4/3 What is ((-231)/35)/((-9)/15)? 11 (((-68)/102)/(4*1))/((-1)/9) 3/2 ((-9)/21)/(((-414)/168)/69) 12 Calculate (-4)/8*1/3. -1/6 Calculate ((-448)/6664*(-3)/4)/((-6)/(-14)). 2/17 What is 58/(-232)*(-8)/2? 1 What is the value of ((-1)/(-5))/((-30)/(-660)*-11)? -2/5 Evaluate ((-4)/(-26))/((-110)/(-12155)). 17 What is the value of ((-90)/(-20))/((-225)/150)? -3 What is the value of -3*48/252*7? -4 Calculate ((-2)/3)/((-3)/(-18)). -4 What is the value of 6/(-8)*(-12)/9*10/(-10)? -1 What is the value of ((-706)/1059)/((2/(-9))/(-2))? -6 Calculate (681/(-227))/(27/60*3/9). -20 Calculate 1/(3*((-24)/60)/(24/20)). -1 What is the value of ((-130)/(-120)*-3)/((99/72)/(-11))? 26 Evaluate (6*(-1)/4)/(12*1). -1/8 What is the value of (-2)/22*66/(-33)? 2/11 Calculate ((-300)/(-2250))/(2/90). 6 What is ((-4)/(-2)*21/14)/((-108)/(-30))? 5/6 -6*2*((-5)/(15/(-6)))/6 -4 What is (-2)/(-32)*12*3/18*-2? -1/4 Evaluate (-1)/(6/(-50)*(-20)/24). -10 What is (-39)/13*(-2)/(-2)*(-1)/(-3)? -1 Calculate ((-8937)/7944)/(3/16). -6 Evaluate (-11*26/(-26))/((-1)/1). -11 Evaluate ((-12)/((-3)/3))/(96/(-128)). -16 ((-628)/(-1099))/((-4)/(-70)) 10 Calculate ((-15)/36)/(-5)*(-3384)/(-564). 1/2 What is the value of ((-1)/3)/((-308)/23100)? 25 (71/355)/(19/(-3135)) -33 What is the value of ((2/204)/(-1))/((-6)/(-144)*-8)? 1/34 What is the value of (8/126*12/8)/((-13)/156)? -8/7 Evaluate (-2)/(((-19)/(114/(-9)))/(9/132)). -1/11 What is the value of (27/228)/((-162)/(-513))? 3/8 Evaluate 11*-1*6/(-8)*(-452)/(-339). 11 What is (406/174*(-6)/77)/((-1)/(-2))? -4/11 What is (-16)/10*4825/(-772)? 10 Evaluate 105/(-70)*6/(-21). 3/7 Calculate ((-217)/(-62))/(42/180). 15 Evaluate 24/(-10)*1075/(-172)*1. 15 What is (12/(-1))/(9*(-132)/891)? 9 What is the value of ((-86)/387*(-18)/8)/((-1)/13)? -13/2 Calculate (((-18)/(-4))/3)/((-136)/2720). -30 Calculate ((-2)/(-48))/(1920/5120). 1/9 Evaluate (-30)/(-8)*(-352)/(-2640)*8*2. 8 Calculate ((-10)/18)/((-69)/2484). 20 What is the value of (5/10)/((-1)/(-7))*240/140? 6 ((945/(-1764))/(54/16))/((-5)/45) 10/7 -25*(-28)/2310*-2*5/(-50) 2/33 Evaluate (((-40704)/(-832))/53)/((-2)/((-52)/2)). 12 What is 1*(2/5)/((-24)/(-60))? 1 What is the value of ((-96)/468)/((-2)/13)*(-45)/4? -15 Calculate -30*-12*(-2)/60. -12 What is the value of (10/(-200))/(14/(-35))? 1/8 Calculate (-192)/(-60)*(-10)/(-12)*-3*-1. 8 What is the value of (-6)/(12*(-14)/(-252))? -9 What is the value of (-432)/(-64)*44/33? 9 What is the value of 6/(-9)*(-30)/(-270)*-3? 2/9 Evaluate 32/(72/(-9))*(-3)/(-24)*36. -18 Evaluate (44/(-24))/((((-5)/(-2))/(-5))/(-1)). -11/3 Calculate ((8/100)/(54/(-45)))/(1/(-51)). 17/5 What is 3680/(-368)*-1*(-2)/(1*-2)? 10 Calculate (8/(-96))/((-341)/(-248)). -2/33 Evaluate ((1/(-15))/((-720)/2700))/(1/(-5)). -5/4 What is 2/(22/(2002/13))? 14 Evaluate (-19)/14*67/((-67)/14). 19 What is the value of -7*1*(-10)/110*-11? -7 What is the value of 11/(99/18)*(-5)/(40/32)? -8 Evaluate ((-45)/18)/((-7)/14). 5 Evaluate ((-8)/2)/(-12)*5/15*3. 1/3 What is the value of 10/(-2)*(2/(-4))/(10/12)? 3 What is the value of ((-28)/6)/(1162/(-747))? 3 (-1)/4*104/(-39) 2/3 28*(39/(-13))/12 -7 Evaluate ((-8)/30)/((-8)/(-20))*(-1152)/192. 4 Evaluate 12/(-9)*8085/308. -35 Calculate (1*4/2)/(14*(-9)/(-252)). 4 ((-2)/(-42))/(((-670)/60)/67) -2/7 Evaluate (-6)/(-16)*-2*15288/(-546). 21 What is (9*5/1650*11)/(72/20)? 1/12 Evaluate 1*6/18*276/(-3634). -2/79 What is the value of 96*(-18)/135*70/28? -32 36360/(-808)*(-1)/(-3) -15 Calculate 1*(-10)/(50/(-15))*(-20)/(-
{ "pile_set_name": "DM Mathematics" }
sequence qhh? 1/858 What is prob of sequence fec when three letters picked without replacement from xqbccqbxfefb? 1/330 Two letters picked without replacement from wggggggwwwggwwwgwggw. Give prob of sequence ww. 18/95 Calculate prob of sequence aiq when three letters picked without replacement from {q: 1, a: 6, i: 1, t: 4, j: 4}. 1/560 Calculate prob of sequence ji when two letters picked without replacement from {z: 2, y: 1, m: 1, j: 2, k: 1, i: 1}. 1/28 What is prob of sequence gqq when three letters picked without replacement from {q: 4, g: 14}? 7/204 What is prob of sequence po when two letters picked without replacement from nonlldlnndlldddlpdlo? 1/190 Two letters picked without replacement from tfttfffpffwpft. Give prob of sequence pw. 1/91 Calculate prob of sequence ll when two letters picked without replacement from llftccfccflctfckcf. 1/51 Calculate prob of sequence plv when three letters picked without replacement from {y: 2, b: 2, v: 1, l: 4, p: 3}. 1/110 Calculate prob of sequence yy when two letters picked without replacement from {y: 7, l: 5}. 7/22 What is prob of sequence ktu when three letters picked without replacement from utktkkukukukk? 14/429 What is prob of sequence zp when two letters picked without replacement from {n: 1, e: 2, p: 2, u: 1, z: 2}? 1/14 What is prob of sequence zffk when four letters picked without replacement from {f: 2, z: 2, k: 1}? 1/30 What is prob of sequence ffct when four letters picked without replacement from {t: 1, c: 1, f: 13}? 1/210 Four letters picked without replacement from {u: 2, l: 8, f: 4}. What is prob of sequence fuff? 2/1001 What is prob of sequence clx when three letters picked without replacement from {x: 5, l: 3, c: 1}? 5/168 Three letters picked without replacement from {z: 10, m: 4}. Give prob of sequence mmz. 5/91 What is prob of sequence ek when two letters picked without replacement from {v: 1, a: 3, e: 7, k: 2, u: 5}? 7/153 Four letters picked without replacement from lllllllll. Give prob of sequence llll. 1 What is prob of sequence ttt when three letters picked without replacement from tattta? 1/5 Two letters picked without replacement from {j: 2, e: 5}. What is prob of sequence ej? 5/21 Two letters picked without replacement from {m: 1, d: 1, a: 2, x: 2}. Give prob of sequence ax. 2/15 Two letters picked without replacement from {h: 1, t: 6, k: 3, r: 4, f: 2}. Give prob of sequence kk. 1/40 Two letters picked without replacement from sspp. Give prob of sequence ps. 1/3 Four letters picked without replacement from {w: 2, a: 2, d: 5, v: 8}. What is prob of sequence wwda? 1/2856 What is prob of sequence bxb when three letters picked without replacement from {x: 1, b: 14, q: 5}? 91/3420 What is prob of sequence fvav when four letters picked without replacement from {v: 8, n: 1, h: 4, a: 2, f: 1}? 1/390 Calculate prob of sequence zf when two letters picked without replacement from sflzlfsslslsllff. 1/60 Two letters picked without replacement from {g: 3, y: 1, j: 1, n: 1, l: 2, c: 4}. Give prob of sequence yn. 1/132 Three letters picked without replacement from kkkkkkvkkkkkkkkvvk. What is prob of sequence kkk? 455/816 Four letters picked without replacement from oedosdooo. What is prob of sequence does? 5/1512 Calculate prob of sequence ssss when four letters picked without replacement from ssssssssss. 1 What is prob of sequence zhlr when four letters picked without replacement from xxllzhzzxxxlxzlxrxxx? 2/14535 Two letters picked without replacement from spapmat. Give prob of sequence tp. 1/21 What is prob of sequence xjx when three letters picked without replacement from {j: 4, x: 2, n: 6, g: 1}? 2/429 What is prob of sequence ap when two letters picked without replacement from {c: 1, g: 1, x: 1, a: 1, f: 2, p: 1}? 1/42 Calculate prob of sequence alg when three letters picked without replacement from gagbl. 1/30 Two letters picked without replacement from {c: 3, p: 11}. What is prob of sequence cp? 33/182 What is prob of sequence qq when two letters picked without replacement from {p: 1, y: 6, q: 5, c: 1, n: 3, t: 1}? 5/68 Two letters picked without replacement from {d: 3, a: 4}. Give prob of sequence ad. 2/7 Four letters picked without replacement from {n: 1, v: 2, i: 5, h: 1, r: 4, q: 2}. What is prob of sequence hqiv? 1/1638 Calculate prob of sequence wbxf when four letters picked without replacement from {b: 2, x: 2, d: 3, u: 1, w: 1, f: 3}. 1/990 What is prob of sequence gggk when four letters picked without replacement from bgbkgbbggbbbbbkbgbg? 5/1938 What is prob of sequence all when three letters picked without replacement from alllalalal? 1/6 Three letters picked without replacement from {a: 2, t: 2, j: 1, i: 1, n: 1, g: 1}. Give prob of sequence jag. 1/168 Calculate prob of sequence uut when three letters picked without replacement from {t: 2, r: 5, u: 3}. 1/60 Three letters picked without replacement from ollnolononn. What is prob of sequence lol? 4/165 Calculate prob of sequence ioo when three letters picked without replacement from {i: 1, o: 2, m: 2}. 1/30 Calculate prob of sequence mdqe when four letters picked without replacement from qmqde. 1/60 Two letters picked without replacement from {k: 3, p: 1, l: 4}. Give prob of sequence kl. 3/14 What is prob of sequence tu when two letters picked without replacement from {s: 1, u: 1, t: 1, p: 1, y: 1}? 1/20 Three letters picked without replacement from fiifiifbbbfgbgfffbf. What is prob of sequence fib? 80/2907 Two letters picked without replacement from {z: 1, n: 3, p: 1, r: 1, v: 6, b: 1}. Give prob of sequence zb. 1/156 Three letters picked without replacement from {y: 9, g: 7}. Give prob of sequence ygg. 9/80 Three letters picked without replacement from mpfrhrhhrhfhrqh. What is prob of sequence qhm? 1/455 What is prob of sequence nnll when four letters picked without replacement from {l: 12, v: 2, n: 5}? 55/1938 What is prob of sequence gvg when three letters picked without replacement from {w: 3, g: 6, i: 5, p: 2, v: 1, b: 3}? 1/228 Calculate prob of sequence sgsi when four letters picked without replacement from {i: 1, s: 3, y: 1, g: 1, z: 1}. 1/140 Two letters picked without replacement from {z: 3, f: 2, e: 1, o: 5, x: 7}. Give prob of sequence fx. 7/153 Four letters picked without replacement from {g: 1, p: 7}. Give prob of sequence pgpp. 1/8 Four letters picked without replacement from {o: 4, q: 2, e: 2}. Give prob of sequence qoee. 1/105 Calculate prob of sequence zdz when three letters picked without replacement from zdkzzdddduzdzkuddd. 5/136 Two letters picked without replacement from ygq. Give prob of sequence gq. 1/6 Two letters picked without replacement from {k: 6, h: 4}. Give prob of sequence hk. 4/15 Two letters picked without replacement from {p: 2, x: 6, i: 7}. What is prob of sequence xp? 2/35 Calculate prob of sequence ee when two letters picked without replacement from jejejjjjjjjjjjjjjj. 1/153 Calculate prob of sequence qimy when four letters picked without replacement from aypmqyi. 1/420 What is prob of sequence gtm when three letters picked without replacement from tqqjbbmg? 1/336 What is prob of sequence lkll when four letters picked without replacement from {l: 3, k: 5}? 1/56 Three letters picked without replacement from {m: 9, l: 2}. What is prob of sequence llm? 1/55 Calculate prob of sequence llll when four letters picked without replacement from kkkklkkkkkklkkllklkk. 1/969 Four letters picked without replacement from iwiwtt. Give prob of sequence itwt. 1/45 Three letters picked without replacement from {i: 10, h: 4}. Give prob of sequence hii. 15/91 Two letters picked without replacement from {v: 12, a: 1}. Give prob of sequence av. 1/13 Two letters picked without replacement from jklzeeeez. What is prob of sequence zk? 1/36 Two letters picked without replacement from {l: 1, m: 1, h: 2, y: 1}. What is prob of sequence hm? 1/10 What is prob of sequence ga when two letters picked without replacement from pgddpda? 1/42 Calculate prob of sequence all when three letters picked without replacement from {j: 4, m: 3, l: 4, a: 3}. 3/182 What is prob of sequence wpwp when four letters picked without replacement from {p: 6, w: 12}? 11/204 What is prob of sequence ww when two letters picked with
{ "pile_set_name": "DM Mathematics" }
9 and 98129087.6142. 98129083.7142 Subtract -4.73 from -12713.2867. -12708.5567 -23.4+-497.1452167 -520.5452167 Add 4.39756956 and 0.06459. 4.46215956 Work out 235.368645 - -464.3. 699.668645 Subtract 25.67215883 from 43. 17.32784117 -0.069405+-56186328 -56186328.069405 6982.2+6262.80633 13245.00633 What is 19662112936 less than 0.7? -19662112935.3 What is the distance between 41.6802 and 0.125616899? 41.554583101 Calculate -271 + 15879788660. 15879788389 Subtract -4.8 from 2267415253247. 2267415253251.8 What is 1122.815 - 762689139? -762688016.185 -5.4 - 5.72440416 -11.12440416 Add together -20005566 and 18839.409. -19986726.591 What is -48566303 - -238891? -48327412 What is 7144851647754 less than 141? -7144851647613 43748353659018 - 22 43748353658996 What is 1.2 - 120098.48524? -120097.28524 Calculate 0 - 56111.4669974. -56111.4669974 What is -0.00795 - 2546587576? -2546587576.00795 What is 20431259 plus 15.233? 20431274.233 -125.27067145 + 0.06621 -125.20446145 Calculate -637048706531 - 12. -637048706543 Calculate -14558149 - 3160375. -17718524 Sum 33.699490566 and 0.02. 33.719490566 Calculate 59.322 - 21320132. -21320072.678 What is -0.11 + 5096084208207? 5096084208206.89 What is -1 - -2108823729.439? 2108823728.439 Calculate -804019491 + 0.01. -804019490.99 Work out -47607.1183269357 + 0.5. -47606.6183269357 Add together 1.88947 and 0.92806989. 2.81753989 673+-24739644748.1 -24739644075.1 What is 0.935622711154 take away 1? -0.064377288846 Work out -636.571110269977 - 0.1. -636.671110269977 What is the distance between 89683.739138 and -141? 89824.739138 What is -338633 - 55972541? -56311174 Add -98939578973 and -0.1202. -98939578973.1202 Sum -0.06 and -151224.7903. -151224.8503 Add together -1 and 319.23513347. 318.23513347 Put together 16507216050197 and 6. 16507216050203 11051390668 + 0.027 11051390668.027 659.316 + -47403685 -47403025.684 Subtract -7.5921 from -948159430. -948159422.4079 Calculate -54777 - -13976.1609. -40800.8391 What is -84 take away -0.0120191939837? -83.9879808060163 -181.27 - -8.737643 -172.532357 Work out -5 + 3.682795025596. -1.317204974404 Add 6 and -43678758219262. -43678758219256 What is the difference between 2387.56731975 and -3? 2390.56731975 What is -491037925 - -148.75? -491037776.25 -846182274520+-18 -846182274538 Sum -0.95 and 327110519921. 327110519920.05 -12+6516662658 6516662646 Calculate -1423953255 - 308838. -1424262093 What is -6.004652 minus -952340? 952333.995348 What is -1076323 plus -0.305909? -1076323.305909 What is the distance between -487 and 544.337831? 1031.337831 What is 1493469 - 0.065183164? 1493468.934816836 Calculate -89675532.01 + 0.85. -89675531.16 What is -218 take away 0.0245093472? -218.0245093472 -267556087.6+-9.2 -267556096.8 Work out -194136 - -1.85324418. -194134.14675582 Subtract -0.11535963605 from -1.78. -1.66464036395 Add -0.0126 and -0.014302072. -0.026902072 What is 10576.0181 take away 4657762? -4647185.9819 Subtract 11.4 from 18718919.12. 18718907.72 -2822.8 - 3273.12 -6095.92 Calculate -8 - -40435198841. 40435198833 Total of 97774279.821 and -310.8. 97773969.021 407077727585598+-0.2 407077727585597.8 Work out -31.85 + 7908957. 7908925.15 What is 11510566.5 take away 17111? 11493455.5 What is -0.0184223323 plus -5679? -5679.0184223323 What is 5 take away -268719264038148? 268719264038153 Subtract -0.9309254 from -90275. -90274.0690746 What is the difference between 1.642 and 5015.042839? 5013.400839 0.2+-53032696729 -53032696728.8 What is 5076005698540 minus 0.1? 5076005698539.9 -6892482012+-227 -6892482239 0.0442 + -256828725996 -256828725995.9558 What is 232280989791 take away -4.9? 232280989795.9 What is -1895602597 minus 1506? -1895604103 Add together 31 and -1335479275. -1335479244 122 - 125.4011902 -3.4011902 -1249923493660+56 -1249923493604 Put together -7393087.8322823 and 0. -7393087.8322823 What is the difference between 32521202834 and -7.1? 32521202841.1 73916333066 + -267 73916332799 Calculate -1.3 + -8715063577. -8715063578.3 Add together 5 and -1148814744853. -1148814744848 What is 0.3 minus 149818740.7549? -149818740.4549 Calculate -314.87 + -0.387521. -315.257521 Put together -579095155650141 and 3. -579095155650138 Work out 222877017 - -1474226. 224351243 What is 0.088511461967192 take away -4? 4.088511461967192 What is -2658.99518 take away -3.686897? -2655.308283 What is -92.3 + 6951.82416? 6859.52416 What is the distance between -18 and 444053231104? 444053231122 What is the distance between -361055492027 and -5.2? 361055492021.8 What is -2.6 plus 11930445095? 11930445092.4 -570.7+17154903094 17154902523.3 Calculate 30 + -1362339753816. -1362339753786 What is -0.3 less than 1149310.551884? 1149310.851884 Work out -5.49 - -26.2702603. 20.7802603 What is 86513.4777 less than 96.7? -86416.7777 Add -396.61515 and 0.068207. -396.546943 What is the distance between 0.3772452106 and -2875? 2875.3772452106 Work out -429 - -4425604394. 4425603965 -121 + 16.4987846 -104.5012154 Work out 0.10097 - -76353831. 76353831.10097 Calculate 44.1458241777 - -191. 235.1458241777 What is -386.197 plus 53882.5981? 53496.4011 688093218298+-0.1 688093218297.9 -175390475640 + 0.027 -175390475639.973 What is 102 + 325023864262? 325023864364 What is -4 plus 2092377018.5216? 2092377014.5216 What is 13849 minus 19044089? -19030240 What is 13 less than 63.30202173214? 50.30202173214 -2543517043+-19326 -2543536369 Calculate -2249056878.8 - -7.58. -2249056871.22 Sum 5943979 and 53009. 5996988 Work out 353401004.65 + 0.06. 353401004.71 What is 286.11 take away -2551712432? 2551712718.11 6515255470670 + -2 6515255470668 2.5342+-280.58856 -278.05436 Work out 1092.64 + 13.6062428. 1106.2462428 What is -0.5 less than 92449443714? 92449443714.5 Sum -69624 and -56.75996. -69680.75996 What is 3 - 720634981265? -720634981262 What is -0.2 minus -0.06074185188259? -0.13925814811741 What is -4.9 take away 501469100? -501469104.9 What is 5139175632671 less than 0.4? -5139175632670.6 What is the distance between -0.04281099 and 175987? 175987.04281099 What is 127737.745877 less than -5? -127742.745877 Work out -572818 - -753.636. -572064.364 What is -0.047346405298 - -2? 1.952653594702 What is the difference between 230.8 and 280.82508? 50.02508 0.0581688733 + -7312 -7311.9418311267 Subtract 0.201 from 129309854737. 129309854736.799 What is 365771577.121 take away 2? 365771575.121 Add -0.2191 and -42421168505. -42421168505.2191 Subtract 3 from 36653008809. 36653008806 Total of 1761450921.671 and -0.04. 1761450921.631 What is -12932 minus 1340388023.38? -1340400955.38 Subtract 2262428159644 from 0.4. -2262428159643.6 0.5 + 118459569881.88 118459569882.38 What is -780438165022 minus 14? -780438165036 Work out 380192548321 + -0.18. 380192548320.82 60021.45 - -7015527 7075548.45 Add 31186 and -602995.7. -571809.7 Work out -1962364671 + -2.2307. -1962364673.2307 Work out -5 - 14453239012248. -14453239012253 -1864748485+-156 -1864748641 Calculate 106447 + -6501105. -6394658 What is 42.27913879 less than 21085? 21042.72086121 What is -0.01 take away -963418658165? 963418658164.99 Total of 2452262439 and -0.061934. 2452262438.938066 Sum -8481.978635773 and 25. -8456.978635773 Add together 85753490485 and -9.1. 85753490475.9 -1065.897 + -0.237558 -1066.134558 Total of 4030566795 and 693. 4030567488 Calculate 11490297283 + -16. 11490297267 What is -6 less than -31.7990626768? -25.7990626768 Calculate -0.06 + 569054.896754. 569054.836754 What is 25477 + 15793.647? 41270.647 -7176591+23798 -7152793 What is 158985.652 less than -13.4? -158999.052 Calculate -0.7896608 - -1.65348. 0.8638192 -2645 + 49401.3780679 46756.3780679 Subtract 48111234369.3 from -0.22. -48111234369.52 What is -105266 - 11920350? -12025616 99777755908 + 0.5 99777755908.5 Calculate -6629.67314875 + -0.048. -6629.72114875 Put together 2321686365.4 and -0.045. 2321686365.355 6793717 - -2.436 6793719.436 -393409.03 - 8.26198 -393417.29198 -1108147.6416 - -2 -1108145.6416 Calculate -634769 - -12385332. 11750563 What is the difference between -1174.8 and -1161942.3? 1160767.5 What is 5 take away -1073.41313309754? 1078.41313309754 Calculate 169.06499284423 - 0.11. 168.95499284423 What is 377 - -8.64225772? 385.64225772 Sum -140664
{ "pile_set_name": "DM Mathematics" }
11? 6353 Convert -1aa2 (base 14) to base 4. -1023232 What is -1000102101 (base 3) in base 5? -1114430 397 (base 10) to base 9 481 -2748 (base 12) to base 14 -190c 253 (base 10) to base 2 11111101 Convert 1636 (base 9) to base 13. 750 Convert -27d (base 15) to base 2. -1000111000 -9457 (base 10) to base 7 -36400 1136 (base 14) to base 13 148b 2685 (base 11) to base 6 24041 What is -101010011 (base 2) in base 12? -243 Convert 12614 (base 7) to base 10. 3392 -16b6 (base 12) to base 2 -101010101010 Convert -100100110111011 (base 2) to base 11. -131aa What is 150b (base 12) in base 5? 34314 What is 90ad (base 15) in base 5? 1434123 2105 (base 8) to base 6 5021 What is -b1 (base 16) in base 6? -453 Convert -4402 (base 11) to base 7. -22640 2021 (base 5) to base 3 100200 1003031 (base 4) to base 12 25a5 Convert 11111101001 (base 2) to base 7. 5622 60541 (base 7) to base 6 151544 What is 210000112 (base 3) in base 5? 442243 -53 (base 8) to base 16 -2b What is 1362 (base 9) in base 3? 1102002 Convert -4075 (base 8) to base 13. -c63 Convert -415 (base 7) to base 13. -130 What is -102655 (base 7) in base 4? -10112203 What is 320103 (base 4) in base 8? 7023 Convert -a8a (base 12) to base 15. -6d1 Convert 96 (base 12) to base 2. 1110010 What is -12224 (base 12) in base 14? -8d08 What is 17b8 (base 13) in base 3? 11211210 Convert -7b1 (base 12) to base 10. -1141 Convert 12001033 (base 4) to base 10. 24655 Convert 287 (base 16) to base 2. 1010000111 What is -11661 (base 7) in base 10? -3081 What is -734 (base 10) in base 15? -33e 2a86 (base 13) to base 4 1200302 431 (base 7) to base 11 189 Convert 102100 (base 3) to base 13. 1a7 What is -31001 (base 5) in base 4? -133101 Convert -200220 (base 4) to base 3. -2212100 Convert 1278 (base 10) to base 11. a62 Convert -1040144 (base 5) to base 12. -a626 Convert -543 (base 10) to base 7. -1404 Convert 20110 (base 4) to base 15. 257 32 (base 12) to base 14 2a Convert 101201 (base 3) to base 11. 243 Convert -20132 (base 4) to base 11. -453 -25720 (base 10) to base 4 -12101320 1776 (base 10) to base 3 2102210 3926 (base 11) to base 2 1001111110110 Convert 6806 (base 10) to base 7. 25562 10002 (base 3) to base 5 313 Convert -1344 (base 10) to base 4. -111000 What is -20001 (base 3) in base 12? -117 Convert 1132 (base 6) to base 14. 156 What is -b0a (base 14) in base 16? -876 Convert -14351 (base 8) to base 10. -6377 Convert 11111011011011 (base 2) to base 9. 24058 What is 1021200 (base 3) in base 16? 3a8 Convert 3013113 (base 5) to base 4. 23230210 What is 10102002 (base 3) in base 11? 1960 -5855 (base 15) to base 4 -10211003 Convert 23ba (base 13) to base 9. 6835 Convert 604 (base 14) to base 2. 10010011100 -1d60 (base 16) to base 10 -7520 What is 201002 (base 3) in base 2? 1000000011 Convert -33204 (base 5) to base 4. -210000 What is -11211 (base 4) in base 6? -1353 -4711 (base 12) to base 5 -223213 What is 123122 (base 4) in base 5? 24004 -6010 (base 7) to base 15 -92a What is 54472 (base 8) in base 14? 8478 -236 (base 8) to base 9 -185 Convert -14120 (base 8) to base 16. -1850 What is 10011110101000 (base 2) in base 5? 311102 What is -4040 (base 5) in base 4? -20020 4c9 (base 14) to base 2 1111000001 What is -23112 (base 4) in base 11? -600 What is 3573 (base 8) in base 4? 131323 -547 (base 13) to base 4 -32020 3101400 (base 5) to base 12 25095 3d0 (base 15) to base 12 606 What is 113 (base 9) in base 4? 1131 -2200323 (base 4) to base 8 -24073 3149 (base 11) to base 5 113132 a69 (base 11) to base 3 1202121 ea6b (base 15) to base 9 75032 27810 (base 9) to base 14 6c4a -23a (base 11) to base 13 -18c -21745 (base 9) to base 15 -443e Convert 22ca (base 13) to base 2. 1001100100010 What is -260035 (base 7) in base 6? -1010234 Convert acbd (base 16) to base 13. 17188 What is -47ad (base 14) in base 13? -58c8 What is -8007 (base 12) in base 10? -13831 Convert -10320 (base 5) to base 2. -1011000110 -149 (base 15) to base 7 -600 -ad8 (base 14) to base 11 -1685 134 (base 11) to base 6 422 What is -745 (base 9) in base 3? -211112 -2121220 (base 3) to base 8 -3572 What is 111000100100101 (base 2) in base 8? 70445 14412 (base 14) to base 2 1100010000010000 Convert -4872 (base 16) to base 14. -6a8a What is -23338 (base 9) in base 8? -36343 Convert -664 (base 8) to base 9. -534 What is -9173 (base 12) in base 10? -15783 Convert 6263 (base 9) to base 3. 20022010 a736 (base 14) to base 5 1410420 -453130 (base 6) to base 14 -dd4a Convert 1110011011 (base 2) to base 10. 923 -12025 (base 11) to base 8 -41662 -9322 (base 11) to base 16 -304e Convert -334 (base 8) to base 6. -1004 Convert -1262 (base 9) to base 13. -57b Convert -4094 (base 15) to base 6. -143051 What is 100001111011 (base 2) in base 4? 201323 -7671 (base 10) to base 13 -3651 -28714 (base 9) to base 16 -4c4e Convert 617 (base 14) to base 3. 1122100 -1cf (base 16) to base 11 -391 Convert 7302 (base 9) to base 16. 14e4 What is -1012012222 (base 3) in base 9? -35188 -43628 (base 11) to base 9 -105757 What is -12191 (base 10) in base 16? -2f9f What is 326 (base 12) in base 3? 122010 355 (base 15) to base 7 2126 Convert 2815 (base 12) to base 8. 11021 -8196 (base 16) to base 14 -c138 What is -13632 (base 7) in base 12? -2203 What is -138a (base 13) in base 2? -101100000010 300002 (base 4) to base 7 11651 Convert 1000011110100 (base 2) to base 13. 1c8b Convert 1713 (base 15) to base 14. 1b4c Convert -11213 (base 5) to base 11. -675 Convert 17253 (base 8) to base 3. 101202210 What is -135 (base 12) in base 11? -159 -71 (base 9) to base 6 -144 -2269 (base 13) to base 10 -4819 5037 (base 9) to base 8 7137 -507 (base 13) to base 9 -1146 -21422 (base 8) to base 2 -10001100010010 -1261 (base 11) to base 13 -992 Convert 110100100 (base 2) to base 5. 3140 What is 111331 (base 7) in base 4? 10310020 Convert 30033 (base 5) to base 9. 2533 -16323 (base 9) to base 2 -10101110111111 3121122 (base 4) to base 11 a4aa What is -440342 (base 5) in base 4? -3223321 1201012211 (base 3) to base 11 23349 12bb7 (base 13) to base 8 104224 What is -150 (base 16) in base 10? -336 4061 (base 9) to base 12 1877 1401a (base 12) to base 6 332034 -426 (base 8) to base 7 -545 b43e (base 16) to base 11 31738 What is 3c00 (base 15) in base 6? 135213 What is 2203 (base 7) in base 9? 1064 -d08 (base 15) to base 7 -11360 What is 2110 (base 5) in base 8? 430 2835 (base 9) to base 5 32023 Convert -6516 (base 7) to base 3. -10011210 c43 (base 14) to base 4 211223 Convert 301 (base 11) to base 15. 194 What is -1143 (base 8) in base 15? -2ab What is 1201101 (base 3) in base 16? 4e4 123032 (base 4) to base 9 2345 What is 2965 (base 14) in base 3? 101001220 What is -5342 (base 6) in base 14? -62a Convert 4114 (base 5) to base 15. 259 -1011010011101 (base 2) to base 15 -1aae -425 (base 6) to base 9 -188 94a (base 13) to base 7 4421 Convert -11342 (base 9) to base 6. -55015 What is 814 (base 9) in base 2? 1010010101 -532a (base 12) to base 14 -3466 Convert -29297 (base 11) to base 2. -1010001010001001 2101220221 (base 3) to base 13 18709 -205051 (base 6) to base 11 -11579 Convert 11333 (base 4) to base 6. 1435 What is -10245 (base 9) in base 11? -509a Convert 4020 (base 6) to base 12. 610 Convert 13972 (base 13) to base 10. 36766 Convert -4811 (base 9) to base 5. -103244 Convert -1191 (base 10) to base 8. -2247 -102100212 (base 3) to base 8 -20135 23232 (base 4) to base 2 1011101110 337 (base 16) to base 13 4b4 3996 (base 10) to base 15 12b6 Convert 1000000011001010 (base 2) to base 4. 20003022 -72aa (base 11) to base 3 -111021111 -2347 (base 12) to base 13 -1a44 Convert -1002 (base 4) to base 14. -4a Convert 311 (base 10) to base 2. 100110111 Convert 132043 (base 6) to base 14. 45bd -1626 (base 12) to base 15 -b9c Convert 222231 (base 5) to base 12. 4634 What is -111001110 (base 2) in base 7? -1230 Convert 11880 (base 10) to base 4. 2321220 What is 44b3 (base 12) in base 4? 1313013 Convert -121120 (base 3) to base 16. -1bf What is caa (base 14) in base 9? 3380 What is 144 (base 8) in base 13? 79 Convert -1120133 (base 5) to base 8. -47113 Convert -12625 (base 8) to base 10. -5525 Convert -2100 (base 8) to base 11. -8aa Convert 53055 (base 6) to base 12. 418b Convert -8905 (base 15) to base 10. -29030 Convert -27084 (
{ "pile_set_name": "DM Mathematics" }
t f(a) be the first derivative of -a**3/3 + 525. Let c(z) be the first derivative of -3*z**2 - 2. Give f(c(m)). -36*m**2 Let a be -4 - 0 - (-12 - -6). Let h(b) = 0*b - a*b + 4*b. Let w(u) = -42*u**2. Give h(w(s)). -84*s**2 Let y(u) be the third derivative of -u**5/20 + 3*u**2. Let j(q) = -40*q**2 + 12*q**2 + 29*q**2. What is j(y(d))? 9*d**4 Let k(n) be the third derivative of n**5/15 + 14*n**3/3 - 15*n**2. Let a(f) = -2*f**2. Calculate a(k(v)). -32*v**4 - 448*v**2 - 1568 Let q(d) be the first derivative of 22*d**3/3 - 2*d - 355. Let u(t) = 13*t**2. Give q(u(s)). 3718*s**4 - 2 Let b = -716 - -718. Let m(v) be the second derivative of 0*v**b + 0*v**3 - 1/6*v**4 - 7*v + 0. Let p(n) = -20*n. Calculate p(m(r)). 40*r**2 Let m(y) = 138*y - 417*y + 136*y + 131*y. Let h(q) = 4*q**2 - 2*q**2 + 0*q**2. Calculate m(h(f)). -24*f**2 Let m(t) = 5*t**2 + 4*t. Let i(w) = 6*w**2 + 5*w. Let p(l) = -4*i(l) + 5*m(l). Let f(o) = -204*o**2. Determine p(f(z)). 41616*z**4 Let p(s) = -764*s. Let q(y) = 40*y**2. Calculate p(q(x)). -30560*x**2 Let k(j) = 2*j**2. Let q(a) = -21*a - 2*a - 24*a. Give q(k(p)). -94*p**2 Let l(j) = -71*j**2. Let c(s) = -71 + 3*s - 31 + 102. Determine c(l(d)). -213*d**2 Let u(o) = 4*o. Let a(n) = n + 7005. Give u(a(w)). 4*w + 28020 Let r(a) = 5*a. Suppose 3 - 5 = -c. Let n(f) = 6*f**2 + 3*f**2 - 11*f**c. Calculate r(n(m)). -10*m**2 Let z(p) be the first derivative of p**2 + 1. Let j(a) be the third derivative of 3*a**5/10 - a**2 + 102*a. What is z(j(m))? 36*m**2 Let k(b) = 2 - 3 + 3 - 1. Let p(i) = i - 3. Let u(d) = 6*k(d) + 2*p(d). Let w(l) = -2*l + 2. Calculate u(w(x)). -4*x + 4 Let k(g) = 10655*g**2 + g. Let x(o) = -47*o**2. Give k(x(h)). 23536895*h**4 - 47*h**2 Let d(q) be the first derivative of -q**6/180 + 10*q**3/3 - 11. Let l(s) be the third derivative of d(s). Let y(a) = a. Calculate l(y(n)). -2*n**2 Let d(l) = -5537*l. Let n(r) = -r**2. Give n(d(z)). -30658369*z**2 Let m(z) be the second derivative of 0 + 0*z**2 - 14*z + 1/6*z**3. Let h(o) = 3*o**2. Determine m(h(q)). 3*q**2 Let v(n) be the first derivative of 3*n**2 - 1629. Let s(x) = 1. Let i(o) = 3*o - 6. Let t(p) = -i(p) - 6*s(p). What is t(v(a))? -18*a Suppose 0 = -6*n + 3*n. Let f(u) be the second derivative of 1/3*u**3 - 3*u + 0 + n*u**2. Let s(t) = -7*t. Determine f(s(j)). -14*j Let f(z) = 11*z**2. Let h(q) be the third derivative of q**6/240 - q**4/4 + 43*q**2. Let s(n) be the second derivative of h(n). Calculate f(s(u)). 99*u**2 Let z(g) = g**2. Let k(t) be the first derivative of 11*t**4/6 - 19*t - 12. Let m(f) be the first derivative of k(f). Give z(m(u)). 484*u**4 Let p be (4/9)/(26/117). Let y(i) be the first derivative of 2 + 0*i + 0*i**p - 1/3*i**3. Let k(d) = 6*d**2. Give k(y(x)). 6*x**4 Let c(i) be the first derivative of 0*i + 3/2*i**2 - 11. Let g(z) = z. Calculate g(c(o)). 3*o Let x(a) = 0*a - 7*a + a. Let q(w) be the third derivative of -w**8/10080 - 8*w**5/15 + 3*w**2 - 11. Let y(d) be the third derivative of q(d). What is y(x(j))? -72*j**2 Let s(r) be the third derivative of -r**4/6 + r**3 - 25*r**2. Let f(z) = 5*z - 7. Let k(n) = 6*f(n) + 7*s(n). Let d(m) = -35*m**2. What is k(d(a))? -70*a**2 Let o(c) = 1192*c. Let r(a) be the third derivative of -a**5/60 - 172*a**2. What is o(r(v))? -1192*v**2 Let g be 22/((-616)/(-42)) - (-1 - 0). Let f(z) be the first derivative of g*z**2 + 4 + 0*z. Let d(x) = -2*x. Calculate d(f(h)). -10*h Let b(g) = -2*g + 899. Let w(x) = -35*x**2. Determine b(w(u)). 70*u**2 + 899 Let o(a) = -4*a. Let k(z) = -15*z**2 - 13. Suppose -15*u = -7*u - 48. Let f(x) = 7*x**2 + 6. Let i(l) = u*k(l) + 13*f(l). What is o(i(v))? -4*v**2 Let k(h) be the first derivative of -16*h**3/3 + 1. Let n(i) = 4*i**2 + 12*i - 12. Let x(d) = 3*d**2 + 10*d - 10. Let o(u) = 5*n(u) - 6*x(u). Calculate k(o(b)). -64*b**4 Let n(p) be the first derivative of p**2/2 - 6. Let h(m) = -74*m**2. Give h(n(l)). -74*l**2 Let u(o) = -2*o**2. Suppose 4*x + 2*z - 54 = -0*x, -3*x + 58 = -2*z. Let k(s) = -12*s + x*s + 3*s. What is u(k(t))? -98*t**2 Let p(r) = -4*r. Let d = 33 - 21. Let k(m) = 3*m**2 - 4*m - d*m**2 + 4*m. Give k(p(g)). -144*g**2 Let j(h) = -17*h + 5*h - 11*h. Let v(t) be the first derivative of t**3/3 + 1785. Calculate v(j(x)). 529*x**2 Let k(h) be the first derivative of -h**2/2 - 19. Let r(c) = c**2 - 11*c + 15. Let f be r(10). Let q(t) = 0*t - 7*t + f*t - 6*t. What is k(q(j))? 8*j Let d be 1/(-6) - 186/(-36). Let n(x) = -4*x. Let q(r) = -5*r. Let o(c) = d*q(c) - 6*n(c). Let u(i) = -16*i. Determine o(u(m)). 16*m Let z(k) = 6*k. Let i(f) = 65*f - 13. Let h(w) = -16*w + 3. Let l(v) = 13*h(v) + 3*i(v). Determine z(l(o)). -78*o Let z(n) = 0*n**2 - 5*n**2 + n**2. Let u(v) = 13 + 9*v + 5*v + v. Let c(j) = -7*j - 6. Let r(m) = 13*c(m) + 6*u(m). What is r(z(q))? 4*q**2 Let s(k) = -5*k. Let n(c) = c**2 + 13*c**2 + 7*c**2 - 6*c**2 + 3*c**2. What is s(n(a))? -90*a**2 Let q(f) be the third derivative of f**5/40 + 5*f**3/6 - 16*f**2. Let o(v) be the first derivative of q(v). Let c(d) = 4*d**2. Calculate o(c(g)). 12*g**2 Let t(g) = -g**2 - g. Let w(j) = -2*j**2 - 4*j. Let s(m) = -4*t(m) + w(m). Let h(d) = -209*d**2. Calculate s(h(r)). 87362*r**4 Let m(z) = -19*z**2 + 14*z - 14. Let d(p) = -18*p**2 + 12*p - 12. Let c(o) = -7*d(o) + 6*m(o). Let f(y) = 3*y**2. Calculate f(c(g)). 432*g**4 Let f(h) = -h. Let l(j) = 12297 - 12297 - 61*j. Calculate f(l(n)). 61*n Let o(l) = l. Let w(z) = -5*z**2 - 283*z - 1. Determine w(o(x)). -5*x**2 - 283*x - 1 Let h(k) = -2*k**2 - 15*k + 6. Let t(i) = 4*i**2 + 25*i - 10. Let b(p) = 5*h(p) + 3*t(p). Let y(s) = 443*s**2. Calculate y(b(l)). 1772*l**4 Let v(r) be the first derivative of 10 + 1/2*r**2 + 0*r. Let z(o) = -o**2. Calculate z(v(f)). -f**2 Let d(a) = -14*a. Let v(m) = -8607*m. Determine d(v(s)). 120498*s Let l(j) = -j - 9142. Let b(o) = -4*o - 13. What is b(l(s))? 4*s + 36555 Suppose 5*y - 20 = -5*j, y + 3*y + 4 = j. Let u(v) be the second derivative of y*v**2 - 6*v + 0 + 0*v**3 - 1/12*v**4. Let f(z) = -3*z. What is f(u(w))? 3*w**2 Let r(k) = k - 7*k - 3*k - 3*k - k. Let a(z) = -28*z. What is r(a(v))? 364*v Let a(n) be the third derivative of -15*n**2 - 4*n**4 - 5*n**4 + 8*n**4. Let k(t) = -2*t**2. Determine k(a(y)). -1152*y**2 Let u(k) = -28*k + 3. Let p(t) = 94*t. What is u(p(v))? -2632*v + 3 Let g(d) = -d**2. Let f(k) = -27*k + 4. Let n(r) = 240*r - 35. Let x(u) = -35*f(u) - 4*n(u). Calculate g(x(q)). -225*q**2 Let s(w) = 43*w**2. Let q(k) = -k**2 + 2. Let h(f) = -4. Let u(x) = -h(x) - 2*q(x). What is u(s(v))? 3698*v**4 Let m(g) = 7*g**2. Let w(l) = 2*l + l + l + 5*l. Calculate w(m(q)). 63*q**2 Let i(m) = 5*m**2. Let q(x) be the second derivative of -3*x + 0*x**3 + 0*x**2 - 1/12*x**4 + 0. Calculate i(q(f)). 5*f**4 Let u(a) = 2*a. Let l(y) = -2*y + 35098. Determine l(u(x)). -4*x + 35098 Let y(g) be the third derivative of -29*g**5/60 + 22*g**2 + 1. Let n(p) = -5*p. What is y(n(r))? -725*r**2 Let c(y) = 26576*y + 1. Let m(i) = -i**2. Give c(m(f)). -26576*f**2 + 1 Let o(v) be the first derivative of v**4/6 + 12*v - 13. Let z(p) be the first derivative of o(p). Let y(a) = 5*a. Calculate y(z(l)). 10*l**2 Let j(a) = 2*a. Let l(c) be the first derivative of 0*c + 3/2*c**2 + 7. What is j(l(r))? 6*r Let o(f) = -3*f**2. Let c(w) = -70*w. Let z(p) = p. Let m(v) = 2*c(v) + 70*z(v). Calculate m(o(y)). 210*y**2 Let b(t) = -7*t. Let l(c) = 21262*c**2. Give l(b(q)). 1041838*q**2 Let b(s) be the second derivative of 0*s**2 + 0 - 7*s + 5/6*s**3. Let j(u) = -3*u**2 + 3 - 3 + 0. Calculate j(b(c)). -75*c**2 Let c(s) = 1. Let l be (3 - 14/4)*-2. Let a(i) = -7*i**2 + 2. Let h(k) = l*a(k) - 2*c(k). Let d(f) = 6*f**2. Determine h(d(g)). -252*g**4 Let g(y) = -2*y**2. Let d(w) = -8*w**2 + 132*w**2 - 20*w**2. Give g(d(s)). -21632*s**4 Let b(v) = 1287*v. Let w(q) = 90*q - 259*q + 90*q + 81*q. What is b(w(i))? 2574*i Let z(l) be the first derivative of 2*l**3/3 - 120. Let s(c) = -c**2. Calculate z(s(j)). 2*j**4 Let f(m) = -m + 1. Let a(g) = 2*g - 4. Let y(t) = a(t) - f(t). Let v(r) = -2*r**2. Calculate y(v(s)). -6*s**2 - 5 Let n(g) = -197*g. Let w(j) = -9*j - 9*j - 3*j + 22*j. What is n(w(p))? -197*p Let w(m) = -2*m**2. Let t(o) be the third derivative of 0*o + 0 - 1/3*o**4 + 0*o**3 + 29*o**2. Determine t(w(q)). 16*q**2 Let u(p) = -3*p**2 - 5*p. Let n(k) = -4 + 6 - 2
{ "pile_set_name": "DM Mathematics" }
? 1/23 What is the value of 280/(-483) + 15 + (-6246)/414? -2/3 3*6*(-6 - 550/(-90)) 2 Evaluate (4 - 1)/((-204)/25024*16). -23 What is the value of (-4)/20 - (-7 - ((-1548)/(-10))/(-6))? -19 Evaluate (-19)/(1026/4) - (-5 - (-1288)/108). -7 What is (-508)/(-100) + 10 + -15? 2/25 What is the value of 2 + (-462)/(-119) - (-2)/34*2? 6 What is (4/(-6))/(-5*(-10 - 1510/(-150)))? 2 Evaluate (10/55 + (-174)/(-132))/(1/(-10)). -15 Calculate (-63)/((-2835)/(-72))*(2 + 18/(-8)). 2/5 Calculate (-12 - 1 - (-150)/10)*-1. -2 Evaluate ((-7)/(-3)*4/(-14))/((-22)/(-198)). -6 What is the value of 127 + -130 - (-70)/24? -1/12 What is 3/((-4 + (-9)/(-3))*1/(-1))? 3 50/200 - (-18)/(-8) -2 What is the value of 2/(((-3)/(-5))/(42/(-20)))? -7 ((-2)/(-2))/((-89)/165 - 110/1815) -5/3 What is the value of (4116/(-20))/21 + (-33)/15 + 1? -11 What is (-36)/45*((-100)/8)/(-5)? -2 Evaluate 10/(-550)*-835 + -7 + -8. 2/11 What is the value of 5/(-8)*600/(-500)? 3/4 Calculate (6/17)/(1456/136136). 33 Calculate ((-7)/2 - 1)*60/(-45). 6 What is the value of ((-5)/(-4))/(20/(-240))? -15 What is 12/(-18)*-12*(-40)/32? -10 Evaluate (-9 - -10)*(-2 - (-9 + 9)). -2 Calculate (-172)/559 - (-116)/546. -2/21 What is (2 - 3)*(10 - 1661/165)? 1/15 Calculate (-81)/(-297)*22*((-10)/(-15) - 2). -8 Calculate (37 - 13) + 10/6*12/(-4). 19 (-25)/(2975/(-68)) + ((-156)/(-224))/(-1) -1/8 15400/(-1550) - (-8 - 2) 2/31 What is the value of (358/(-40) - -9) + ((-13947)/1260 - -11)? -2/105 What is (-3 + (-176)/35 - 2/5) + 8? -3/7 What is (-5)/4*4/8*-16? 10 What is -15 - (-18 + 95/30)? -1/6 2489/(-4180) - ((-126)/(-11) - 12) -1/20 What is the value of ((-146)/55 + -4 + 6)/(12831/42770)? -24/11 What is -20*(-4)/10 + -2 + (-4)/2? 4 What is the value of 2334/1945*10/6? 2 Evaluate (-483322)/(-40527) + 4/54. 12 What is the value of ((-42)/15 - -3)/(14 + (-592)/40)? -1/4 18/3*231/(-198) -7 What is the value of 1928/88 + (-23)/(-253)? 22 Calculate (-43 - -48)/((-33)/(-18) - 1). 6 Evaluate -7 + (22/(-8))/((-24)/64). 1/3 Calculate -67 + 71 + (1 + 3 - -3). 11 Calculate (9/2)/(-1)*-30*61/(-6405). -9/7 What is -10*-4*1/12 + 12/(-4)? 1/3 Evaluate (-84)/528*-11*(-90)/35. -9/2 What is 18/(-3)*((-9)/(-30) + (-2294)/930)? 13 Evaluate (-8 + 2242/285)/(4/(-40)). 4/3 What is the value of 5*78/(-325)*((-21)/(-27))/(-7)? 2/15 30*(44/110 - 16/20) -12 Calculate (-48)/27 + 62/(-279). -2 ((-256880)/(-225))/(-38) + 30 -2/45 Evaluate ((-5)/65 + (-882)/364)*10/(-75). 1/3 Calculate 148/80 - 42/(-56). 13/5 What is (-5)/(10/26) - 3? -16 Calculate ((-5092)/(-938))/((-7)/((-196)/8)). 19 Calculate ((-34)/(-24) + -1)*((-1008)/45 - -23). 1/4 What is 2 - (6*(-95)/(-30) + -5)? -12 Calculate ((-606)/(-114) + (-42 - -37))*19. 6 What is the value of (-2)/13 + -8 + ((-599984)/(-5291))/14? -2/37 ((-861)/18)/(-7)*120/(-20)*1 -41 What is the value of 3 - (((-10)/4)/1 + (-35)/35)? 13/2 (-10 - -3) + 3 + -2 -6 Evaluate -117*20/(-210) - ((-136)/28 + 6). 10 (270/324)/((-13)/104) -20/3 What is the value of (-70)/525*(-2)/6? 2/45 5 - (0*2/4)/(-1) 5 Calculate ((3 - 1) + -1)/(17/595*-7). -5 What is the value of 8/64*-59 + 15 + -8? -3/8 Evaluate 69102/(-3490) + (12/(-45))/((-2)/6). -19 Calculate 6/(-51) + ((-602)/(-442))/7. 1/13 Evaluate 144/(-96)*((-4)/10)/((-2)/20). -6 (1*-1 - -3)/(1321 - 1322) -2 Calculate (-279)/24 + (-25 - (-4137)/168). -12 Calculate ((-4)/16)/((-2)/(-8)) + 567/594. -1/22 What is (-6)/(-8)*2*(-2 - 168/(-98))? -3/7 What is the value of -1 - ((-56)/8 + -1 - -6) - 4? -3 What is (17328/(-648) - -27)*-9? -7/3 What is (-10)/(-400)*-30 + 0 + (-177)/(-12)? 14 What is 231/112 + (-6)/3*1? 1/16 What is the value of (-16 - -3) + (-16 - -12)? -17 Calculate (7 - (-250)/(-36))*(-135)/(-6). 5/4 Calculate 32/24*(-63)/(-56)*6. 9 Calculate (-48)/10*(-317 - -312). 24 What is the value of (-79361)/2602 + (31 - 0)? 1/2 What is the value of 4305/6314*(-11)/(-10)? 3/4 137/8 + 98/(-1225) + (-27)/600 17 What is (1612/(-248))/((-2)/(-4))? -13 What is (((-30)/8)/5)/((-663)/(-136))? -2/13 Evaluate (3 - 115/45)/(-98*29/(-14616)). 16/7 What is the value of -26 + ((-54)/(-2) + 18)*(-2)/(-10)? -17 Evaluate (-1449)/92*72/(-315). 18/5 What is (-2)/6 - 9718/(-4746)? 12/7 What is -10*30/950*-19? 6 What is ((6/(-9))/(20/90))/(27/12)? -4/3 What is (-6)/(-18) + (-9)/(-12) + (-1014)/72? -13 What is 6/21 - (-374)/63 - (-122 + 128)? 2/9 (9747/15162)/(9/(-8)) -4/7 Evaluate ((-35)/(-15) - 2)/(-5 + (-176)/(-33)). 1 1850/(-50) + (8/(-6))/((-3)/18) -29 What is the value of (-1)/1 + (10 + 1 - 31)? -21 Evaluate (-851)/(-345) - (-1)/5. 8/3 Calculate (30/4)/(156/416). 20 Evaluate (1110/(-135))/2 + (-5)/((-10)/8). -1/9 Calculate -3*2 - 9*110/(-198). -1 (-1855)/6572 + ((-3)/14)/(108/(-126)) -1/31 What is the value of 6118/805 - (3 + 6 + -3)? 8/5 What is ((-840)/(-980))/(1/14)? 12 (-1520)/(-228)*(-6)/(-8) 5 Calculate (-120)/80 + 22/4. 4 What is the value of ((-455)/14)/(-5) - (10 - 5)? 3/2 What is 728/(-1344) + (-2)/(-12)? -3/8 What is the value of ((-2)/6 + 2/2)*2124/(-5192)? -3/11 What is 15/27*42/(-28)*6? -5 What is (-2072)/924 - 50/(-55) - 37/(-30)? -1/10 Evaluate 105/(77/(-11)) - 11/(55/30). -21 What is ((-184)/69)/((-5256)/378 - -14)? -28 ((-1086)/648 - -2) + 54/(-24) + 2 2/27 What is the value of (-17)/(-12) + 10*(-13)/1560? 4/3 What is the value of 2080/414 + (-890)/801 + 16/184? 4 Calculate 546/189*90/(-20). -13 What is ((-3)/(-9)*40/168)/(10/12)? 2/21 Calculate ((-4)/(-6))/(21/(-9)) - 1129/(-7903). -1/7 (-1)/((126/150)/(15/(-25)*-1)) -5/7 Calculate 2860/(-352) + (-1)/(-8). -8 (-14880)/66400 - ((-3)/(-9) + 24/(-45)) -2/83 Evaluate ((-6)/(-21))/(20352/(-924) + 22). -11 What is the value of (-700)/550 - (-4624)/1870? 6/5 -9*(-10)/4860*(1 + -2)*3 -1/18 Evaluate (((-32)/36)/(-8))/(114/(-228)). -2/9 27 + 1573/(-33) + (-1)/3 -21 What is the value of 24/11 + (-222080)/45804? -8/3 Evaluate (1646/20575)/(16/(-10)). -1/20 What is -23 - (78/12 - 0)*(-144)/(-156)? -29 Evaluate 132/(-13) + 25/(3575/22). -10 What is 62/60 - (-27)/45*5/(-15)? 5/6 Evaluate (-8)/(-10)*(-260)/26. -8 What is the value of (2 - (2 + 1/(-2)))*0/(-91)? 0 What is the value of 1 + (-2)/(-12) + 186/(-1116)? 1 Evaluate (-5 + 35)*(3/(-6) + 1). 15 Evaluate (698/(-3141))/(104/(-18)). 1/26 What is (644/3)/(-14)*(-16)/32 + -8? -1/3 (420/560)/((-6)/7) -7/8 ((-6 - -3) + 2)/(-1*6/42) 7 Calculate 245/140*(-30)/(-385)*4. 6/11 Calculate (8/(-28))/((3/18)/((-16)/(-48))). -4/7 Evaluate (-3)/((-26)/(-1092)*-9). 14 What is the value of 22 + (-31 - -14) + -45? -40 Evaluate 3915/(-12150) - 12/(-45). -1/18 120/(-48)*(-31)/(1240/(-96)) -6 What is the value of ((-12)/(-117))/((-14)/(-18) - 1)? -6/13 Calculate 142/(-78) + 3 + (-6 - (-70)/15). -2/13 Calculate -8*(3204/576)/89. -1/2 What is the value of 9/(135/24)*(-90)/(-36)? 4 0/((-1750)/300 - (-2)/(-12)) 0 What is the value of 32 - (-21 - (35 - 106))? -18 Calculate (-19)/969*663 - 2*7/(-2). -6 Calculate (-48)/20 - 122/(-305) - -26. 24 What is the value of 42/5985*-15 + (-80)/(-38)? 2 Calculate 860/1540*-7 - (2 + (1 - 8)). 12/11 Evaluate (1526/(-3052))/(1/28). -14 What is (-13)/(-12 + (9 - (-4 - 0)))? -13 What is 2470/247 - (-38)/(-2)? -9 What is (-14400)/(-1920)*(-12)/(-5)? 18 What is (-72)/42 + 22/(-2464)*4? -7/4 (-10 + (-3 - -15))/70 1/35 Evaluate 14 - (7 - (-10 - -19))*-7. 0 Evaluate (24/((-768)/56))/(2 - 1). -7/4 What is the value of -4 + -5 + -5 + (-5502)/(-392)? 1/28 Evaluate ((-282)/(-329))/(19/21*(2 + -5)). -6/19 What is (13/(390/(-48)))/((-6)/(-45))? -12 Evaluate (-2)/(-18) + 7/252*140. 4 What is the value of (46/(-6) - -5)/(9/54*28)? -4/7 Evaluate 148/(-20) - 1050/(-750). -6 Evaluate 1*40/(-24)*(-2)/(-10). -1/3 2/16*114/665*100/30 1/14 -3*(232/(-16))/(-29) -3/2 What is 1*(-6 + (2 + -14 - -26))? 8 What is the value of 21/3 - 21*42/(-147)? 13 Evaluate ((-2)/(-31) - 4620/(-2387))*21/2. 21 What is the value of ((-252)/(-108))/(77/396)? 12 Calculate (330/1386)/(30/36). 2/7 What is the value of (-82)/(-492) + (-114)/36? -3 Evaluate 4/(-36)*0/(23 + -25). 0 (29/377)/(4/4) 1/13 What is the value of (-22)/(2310/(-75)) + ((-132)/(-21) - 1)? 6 Evaluate (680/80)/((-1)/2). -17 What is (-16)/646 + (-2336)/(-9928)? 4/19 What is (-126)/12*(136 + -147 + 62/6)? 7 What is (-1 - -4)*(-5)/(-3)*(-23288)/(-29110)? 4 (-6230)/(-3738) + -3*4/(-9) 3 6/(-1 - 54/27) -2 What is (64/(-160))/(2/(-10) + 0)? 2 (4 -
{ "pile_set_name": "DM Mathematics" }
1 Collect the terms in -63*o**2 + 64*o + 2*o**3 - 36 + 30*o**2 + 33*o**2. 2*o**3 + 64*o - 36 Collect the terms in 7526*c**3 + 3655*c**3 + 2379*c**3. 13560*c**3 Collect the terms in -94*f**3 + 4*f**2 + 3*f**3 + 28*f**3. -63*f**3 + 4*f**2 Collect the terms in -17*a**3 - 20 - 69 + 89. -17*a**3 Collect the terms in -44576 - 16*l**2 + 44576. -16*l**2 Collect the terms in 26479*l + 17861*l + 3204*l. 47544*l Collect the terms in -13*j**2 - 22 + 127*j**2 + 22. 114*j**2 Collect the terms in 16*f**2 - 876534*f + 1753067*f - 876533*f + 4*f**2. 20*f**2 Collect the terms in 569*b**3 - 24*b**2 + 16*b**2 + 8*b**2 - 567*b**3. 2*b**3 Collect the terms in 11*f + 16540 + 5*f - 17*f. -f + 16540 Collect the terms in 59*d**3 + 44 - 94 + 29. 59*d**3 - 21 Collect the terms in -49*b**2 - 90*b**2 - 219*b**2 - 2*b + 6*b**2. -352*b**2 - 2*b Collect the terms in 591 - 591 + 1059*v. 1059*v Collect the terms in 130 + 139 + 147*y - 269. 147*y Collect the terms in 23*i + 9*i - 34*i - 57*i - 66*i. -125*i Collect the terms in 10 - 11 - 436*a + 1. -436*a Collect the terms in -39014992654 + 39014992654 + 8*x. 8*x Collect the terms in -656*v + 1983*v - 464*v - 495*v. 368*v Collect the terms in 2 - 2 + 27*q**2 + 82*q**2 - 2*q + 0*q. 109*q**2 - 2*q Collect the terms in -604 + 551 + 57 + 3*u**3. 3*u**3 + 4 Collect the terms in 3*m + 874 - 874 - 37*m + 5*m. -29*m Collect the terms in 510 - 255 - 4*a**2 - 255 + 28*a**2. 24*a**2 Collect the terms in 97*n**2 + 284*n**2 + 0*n**3 - n**3 - 666*n**2 + 285*n**2. -n**3 Collect the terms in 536219 + 536224 - 1608665 + 536222 + 44*s**2. 44*s**2 Collect the terms in -221*v + 1081*v**2 - 221*v + 442*v. 1081*v**2 Collect the terms in 4 - 3 + 10837717*a - 10837715*a - 1 + 0. 2*a Collect the terms in -8*t**2 + 8*t**2 + 130*t + t**2. t**2 + 130*t Collect the terms in -332*p**2 - 81*p**2 + 8 - 310*p**2 - 8. -723*p**2 Collect the terms in 3*u**3 - 5*u**3 + 2*u**2 + 8*u**3 + 11*u**3 - 2*u**3. 15*u**3 + 2*u**2 Collect the terms in 88*a**2 + 25*a**2 - 6*a**2 - 6*a**2. 101*a**2 Collect the terms in 110146 - 110146 + 145*i**3. 145*i**3 Collect the terms in 11*s**2 - 9*s**2 - 2*s**2 - 626*s**3. -626*s**3 Collect the terms in 48*x**3 - 119*x**3 + 2*x + 99*x**3. 28*x**3 + 2*x Collect the terms in -61 - 2*c**2 + 28 + c**2 + 31 - 5563*c**3. -5563*c**3 - c**2 - 2 Collect the terms in -321*w**2 + 105*w**2 + 942 - 942. -216*w**2 Collect the terms in -5*z**2 - 624 - z**2 + 1229 - 605. -6*z**2 Collect the terms in 3283*i**2 + 170*i - 3288*i**2 - 162*i. -5*i**2 + 8*i Collect the terms in -21381*m + 2*m**3 + 21381*m + 431*m**2. 2*m**3 + 431*m**2 Collect the terms in -75 + 12 + 25 + 2*z + 22 + 22 + 23. 2*z + 29 Collect the terms in 102842*a - 102842*a - 4*a**2 - 7*a**2. -11*a**2 Collect the terms in 1005*k**2 - 2027*k**2 + 2*k**3 + 1022*k**2. 2*k**3 Collect the terms in 8*k**3 + 7941 - 23837 + 7946 + 7950. 8*k**3 Collect the terms in 3*b - b - 2*b - 747*b**3 + 765*b**3. 18*b**3 Collect the terms in -3*z**2 + z**2 + 36 - 4 - 3. -2*z**2 + 29 Collect the terms in 27*f + 133*f - 54*f - 1. 106*f - 1 Collect the terms in -957520*k - 4*k**2 - 957520*k + 1915035*k. -4*k**2 - 5*k Collect the terms in -13*j**2 + 1817 - 10879*j - 1817 + 10879*j. -13*j**2 Collect the terms in -40*n**2 + 74*n**2 - 6*n**2. 28*n**2 Collect the terms in -366*a + 312*a + 3*a**2 + 54*a. 3*a**2 Collect the terms in -4*h + 0*h + 71955537 - 71955537. -4*h Collect the terms in -2094*k + 2075*k + 3 - 3. -19*k Collect the terms in 29605*z - 59201*z - 8*z**3 + 29596*z - 6*z**3. -14*z**3 Collect the terms in -63*k**3 + 28*k**3 - 3*k**3 - 5*k**3 + 47*k**3 - 2*k**3. 2*k**3 Collect the terms in -x**2 + 16*x**3 + 6*x**2 - 12*x**2 + 0*x**2. 16*x**3 - 7*x**2 Collect the terms in 391 - 390 + 420*o + 163*o. 583*o + 1 Collect the terms in -11*y**3 + 23491*y**2 + 14*y**3 - 23491*y**2. 3*y**3 Collect the terms in -2*u**2 - 3*u**3 + 22 + 265 + 491. -3*u**3 - 2*u**2 + 778 Collect the terms in 107*t**3 - 170*t**3 + 73*t**3. 10*t**3 Collect the terms in 7*y - 43*y + 9*y + 6*y + 12*y + 15*y. 6*y Collect the terms in -572 - 609 + 52*s**3 + 1181 - 50*s**3. 2*s**3 Collect the terms in -198*r**2 - 196*r**2 + 896*r**2 - 199*r**2 - 197*r**2 - 113*r**2. -7*r**2 Collect the terms in -245*d + 245*d - 1 - 5*d**2 + 584*d**3. 584*d**3 - 5*d**2 - 1 Collect the terms in -q**2 - 133*q**3 + 74*q**3 + 5*q**2 + 72*q**3. 13*q**3 + 4*q**2 Collect the terms in -18785*c - 3*c**2 + 0*c**2 + 18785*c. -3*c**2 Collect the terms in 251*u**2 - 273*u**2 + 34*u**2. 12*u**2 Collect the terms in -10*m**3 - 1 - 3415*m**2 + 10238*m**2 - 3413*m**2 - 3410*m**2. -10*m**3 - 1 Collect the terms in 7*v - 31*v + 48*v + 55*v. 79*v Collect the terms in -114*o + 151*o + 444*o + 1. 481*o + 1 Collect the terms in 119*p + 70*p - 3*p**2 + 68*p - 14*p. -3*p**2 + 243*p Collect the terms in -2207*z + 1121*z + 1106*z. 20*z Collect the terms in -1927179 + 3854352 - 1927173 - 6*y. -6*y Collect the terms in -6825 + d**2 + 6825. d**2 Collect the terms in -50*u - 12*u - 41*u + 107*u. 4*u Collect the terms in s + 7330 - 8025 - 10252. s - 10947 Collect the terms in -4 - 68*q**2 + 4 + 36*q**2 - 47*q**2. -79*q**2 Collect the terms in -4*d**3 - 3*d**3 + 3*d**2 + d**3 - 7*d**2 + 2*d**2. -6*d**3 - 2*d**2 Collect the terms in -26 + 1975*q**3 + 53 - 27. 1975*q**3 Collect the terms in -353*m**2 + 137*m**2 + 166*m**2. -50*m**2 Collect the terms in -22*o + 38 - 6 - 9 - 12 - 7. -22*o + 4 Collect the terms in 1827 + 1692*g**3 - 1827 + 2*g**2 + 1323*g**3. 3015*g**3 + 2*g**2 Collect the terms in 5*h - 620 + 2*h - 13*h + 8*h. 2*h - 620 Collect the terms in -60 - 400*y + 120 - 60. -400*y Collect the terms in -1011 + 327 - 359*j**2 + 343 + 341. -359*j**2 Collect the terms in -23275*x**2 + 14668*x**2 - 19583*x**2. -28190*x**2 Collect the terms in -1627 + 341 - b - 2711 + 395. -b - 3602 Collect the terms in 54*k - 55*k - 43*k + 2. -44*k + 2 Collect the terms in -20 + 0 - 6*u**2 + 18*u**2 + 20. 12*u**2 Collect the terms in 900*o + 831*o - 194*o + 261*o - 274*o. 1524*o Collect the terms in 25566567*n - 25566567*n + 30*n**2. 30*n**2 Collect the terms in 23 + 2*d + 9*d - 12*d. -d + 23 Collect the terms in -9625*c - 2*c**2 + 9625*c - 8*c**2. -10*c**2 Collect the terms in 21 - 5*g + 13*g - 6 - 11*g. -3*g + 15 Collect the terms in -235*s + 697*s - 216*s - 241*s. 5*s Collect the terms in 52 - 95 + 43 - 8*j. -8*j Collect the terms in 0*w + 9*w + 729 - 729. 9*w Collect the terms in -1179*d**2 + 3620*d**2 - 1253*d**2 - 1186*d**2. 2*d**2 Collect the terms in 601*z**2 + 598*z**2 + 595*z**2 - 1793*z**2. z**2 Collect the terms in 7346*s**2 - 906*s**2 + 3093*s**2. 9533*s**2 Collect the terms in -13 - 102*p**3 + 52 - 19 - 20. -102*p**3 Collect the terms in 6*j**2 - 307*j + 307*j. 6*j**2 Collect the terms in -1862*i + 3722*i + 585*i**2 - 33*i**2 - 1860*i. 552*i**2 Collect the terms in 69 - 135 + 66 + 2835*u. 2835*u Collect the terms in 111*q + 6 - 2 - 4 + 0. 111*q Collect the terms in 607*n**2 - 306*n**2 - 302*n**2 - 381 + 190 + 191. -n**2 Collect the terms in -788*z - 2*z**3 - 777*z + 2324*z - 759*z. -2*z**3 Collect the terms in 34*r - 6*r**3 - 2*r**2 - 109*r + 8*r**3. 2*r**3 - 2*r**2 - 75*r Collect the terms in 996192391*n - 996192389*n + 1 - 1. 2*n Collect the terms in -2*v**2 - v**2 + 0*v + 0*v - 195 + 183. -3*v**2 - 12 Collect the terms in 1045*q - 1045*q - 1290*q**3. -1290*q**3 Collect the terms in -3*a**2 - 66*a + 139*a + 2*a**2 - 64*a. -a**2 + 9*a Collect the terms in -7396*i**2 - 7248*i**2 + 14776*i**2 + 1. 132*i**2 + 1 Collect the terms in -154*k**2 - 333*k**2 + 217*k**2. -270*k**2 Collect the terms in -127*c**2 + 363*c**2 - 113*c**2 - 3*c**3 - 123*c**2. -3*c**3 Collect the terms in 12*g + 36*g**3 - 7*g - 5*g + 15*g**3. 51*g**3 Collect the terms in -75783*x**2 + 75783*x**2 + 14*x**3. 14*x**3 Collect the terms in -3*l - 20*l + 11*l + 6*l - 7*l + 6*l. -7*l Collect the terms in 2686469131*p - 2*p**2 - 2686469131*p. -2*p**2 Collect the terms in -o**2 + 801925441602 - 801925441602. -o**2 Collect the terms in -5*y - 7*y + 24*y - 8*y + 2*y - 8*y. -2*y Collect the terms in 6120322293 - z - 6120322293. -z Collect the terms in 0*t - 76*t**3 + 3*t + 163*t**3 - 3*t - 88*t**3. -t**3 Collect the terms in 765*t**3 + 688*t**3 + 776*t**3 + 771*t**3 - 3011*t**3. -11*t**3 Collect the terms in 13*r + 113*r - 6*r + 6*r. 126*r Co
{ "pile_set_name": "DM Mathematics" }
**2 - y Let b(w) = -7*w**2. Let n(i) = i**2. Give -b(v) - 6*n(v). v**2 Let g(l) = 10*l**2 - 21*l**2 + 6*l + 3*l**2 - 1 + 7*l**2. Let x(z) = -z**2 + 5*z - 1. Calculate -3*g(s) + 4*x(s). -s**2 + 2*s - 1 Let m(s) = -s**2 + s + 1. Let j(u) = 3*u**3 - 2*u**2 + 4. Give j(c) - 2*m(c). 3*c**3 - 2*c + 2 Let r(i) = 2*i**2 - 4*i + 4. Let w be 1/5*-3*-5. Suppose w*z + 2 = 11. Let o(t) = 2*t**2 - 3*t + 3. Give z*r(v) - 4*o(v). -2*v**2 Let z(k) = -3*k**2 + 1. Suppose 3*y - 8 = 5*h, -h = 2*h + 5*y + 32. Let a(i) = i**2. Calculate h*a(j) - z(j). -j**2 - 1 Let l = 31 - 20. Let r(v) = 3*v - 2. Let d(b) = 3*b - 2. Let u(k) = -5*d(k) + 4*r(k). Let i(c) = 9*c - 5 - 2*c + c. Give l*u(j) + 4*i(j). -j + 2 Suppose 3*o + 2*o + 10 = 0, -4*h - 16 = -2*o. Let a(u) = u**2 - 1. Let d(q) = q**3 - 3*q**2 + 2. Give h*a(v) - 2*d(v). -2*v**3 + v**2 + 1 Let j(l) = -5*l**2 + 9*l - 17. Let u(q) = -2*q**2 + 4*q - 9. What is 3*j(n) - 7*u(n)? -n**2 - n + 12 Let g(o) = -4*o + 17. Let u(d) = d - 6. Determine 4*g(v) + 11*u(v). -5*v + 2 Let y(p) be the third derivative of p**6/60 + p**3/3 - 19*p**2. Let a(d) = 4*d**3 - d**2 + 5. Give 2*a(u) - 5*y(u). -2*u**3 - 2*u**2 Let x(s) = -2*s**3 - 5*s**2 + 4*s. Let j(h) = 2*h**3 + 6*h**2 - 5*h. Let o = 16 + -22. Calculate o*x(l) - 5*j(l). 2*l**3 + l Let s be (6/10)/(18/15 - 1). Let o(w) = 4*w**3 - 3*w - 3*w**2 + 1 + 2 + w. Let k(u) = -u**3 + u**2 - 1. Determine s*k(z) + o(z). z**3 - 2*z Let m(d) = 23*d**3. Let b(x) = 530*x**3. Give -3*b(z) + 70*m(z). 20*z**3 Let x be (-1)/(-2) - (-3)/6. Let m(c) = -2*c**2 - c + 5. Let s(b) = 1. What is x*m(a) - 3*s(a)? -2*a**2 - a + 2 Let j(p) = -4*p + 6. Let g(d) = -2*d + 3. Give -5*g(s) + 2*j(s). 2*s - 3 Let m(d) = -5*d + 6. Let n(c) = 6*c - 7. Let h(v) = v**3 + 7*v**2 + 3*v. Let y be h(-6). Let p = y + -13. Calculate p*m(u) + 4*n(u). -u + 2 Let i(a) = a**2 + 1. Let m = -7 - -8. Let l(o) = o**3 + 5*o**2 + 5. Let x(n) = n - 2. Let j be x(2). Let k be j/3 - (-5)/(-1). Give k*i(g) + m*l(g). g**3 Let n(g) = 17*g - 8. Let b(u) = 1842*u - 1 - 2 - 1836*u. Give 8*b(k) - 3*n(k). -3*k Let f(c) = -11*c - 61. Let z(u) = -5*u - 30. Calculate -3*f(j) + 7*z(j). -2*j - 27 Suppose -14*z + 13*z = -11. Let u = -4 + 6. Let p(x) = -3*x**3 + 2*x**2 - x - 2. Let l(g) = -g**2 - g**2 + 5*g - 9*g**2 + 16*g**3 + 11. Give u*l(f) + z*p(f). -f**3 - f Let u(b) = b**3 - b**2. Let h(m) = -4*m**3 + 11*m**2 + 2*m. Calculate h(a) + 5*u(a). a**3 + 6*a**2 + 2*a Let u(n) be the second derivative of -n**4/12 + n**3/3 - n**2 + 3*n. Suppose -m + 8 = -2*r, m - 3*r - 23 = 2*r. Let q(s) = 2*s - 1. Give m*u(w) + 3*q(w). 2*w**2 + 2*w + 1 Let z(i) = i**3 + i**2 + i + 1. Let a(b) = 2*b**3 + 8*b**2 + 5*b + 5. Give -a(w) + 5*z(w). 3*w**3 - 3*w**2 Let s(l) be the first derivative of l**3/6 + l**2/2 + 2*l - 4. Let v(i) be the first derivative of s(i). Let y(w) = -w - 3. Determine 2*v(b) + y(b). b - 1 Let h(m) = 4*m + 4. Let u(g) = -1. Let t(w) = 2*h(w) - 12*u(w). Let f(y) = -3*y - 7. Let p(k) = k**2 + 6*k + 9. Let l be p(-5). Determine l*t(x) + 11*f(x). -x + 3 Let h(i) = 7*i**3 + 6*i. Let f(g) = 6*g**3 + 5*g. Determine 6*f(w) - 5*h(w). w**3 Let l(f) = -6*f**2 + 8*f - 2. Let b(h) be the first derivative of -4*h**3/3 + 5*h**2/2 - h - 3. Suppose 6 = -3*d - 18. What is d*b(j) + 5*l(j)? 2*j**2 - 2 Let c = 4 - 3. Let x(y) be the second derivative of -y**3/6 + y**2 + 23*y + 1. Let m(g) be the first derivative of -g + 1. Determine c*x(j) + 2*m(j). -j Let u(p) = 3*p**2 - 11*p + 10. Let x(w) = -2*w**2 + 6*w - 5. Give -6*u(f) - 11*x(f). 4*f**2 - 5 Let a(w) = 4*w**2 - 8*w + 7. Let o(r) = -2*r**2 + 4*r - 4. What is -3*a(y) - 5*o(y)? -2*y**2 + 4*y - 1 Let t(d) = 5*d - 1. Let y(z) = 14*z - 3. Give -11*t(f) + 4*y(f). f - 1 Let g = 5 - 11. Let y(k) = -4*k**2 + 5*k + 6. Let s(p) = 11*p**2 - 14*p - 17. Suppose -1 = d - 7. Let c = d - 23. Determine c*y(v) + g*s(v). 2*v**2 - v Let t(a) = -13*a**3 - 7*a**2 - 3*a + 5. Let s(p) = 4*p**3 + 2*p**2 + p - 2. Calculate 7*s(z) + 2*t(z). 2*z**3 + z - 4 Let m(f) = -f**3 + f**2 + f. Let n be 192/40 + (-2)/(-10). Let q(g) = 0 + 7*g**3 - n*g**2 - 3*g + 1 + 0*g. Calculate -5*m(d) - q(d). -2*d**3 - 2*d - 1 Let n(p) = 17*p + 2. Let u(h) = 15*h + 1. Let d(l) = -3*n(l) + 4*u(l). Let q(v) = 4*v - 1. What is -2*d(f) + 5*q(f)? 2*f - 1 Let m(g) = 9*g**3 + 7*g + 7. Let v(y) = -4*y**3 - 3*y - 3. What is 6*m(b) + 14*v(b)? -2*b**3 Let p(w) = -w**3 + 2. Suppose 6 = 4*z + j - 3, 5 = 4*z - 3*j. Let c(s) = 1 + s**2 - z*s**3 - 5 + 3 + 3. Let n = 1 - -1. What is n*c(d) - 3*p(d)? -d**3 + 2*d**2 - 2 Let n(z) = 11 + 15*z**2 - 4*z**2 - 5*z**2 - 21*z. Let p(w) = -w**2 + 4*w - 2. Suppose -r + 5 = -6. Calculate r*p(v) + 2*n(v). v**2 + 2*v Let q(r) = -6*r**2 + 11*r + 14. Let a(o) be the first derivative of 4*o**3/3 - 7*o**2/2 - 9*o - 6. What is -8*a(h) - 5*q(h)? -2*h**2 + h + 2 Let w(y) = -y**2 - 5*y - 7. Let h(a) = -2*a**2 - 11*a - 15. Suppose -j = -t - 8, -13 - 5 = -4*j - 3*t. Suppose 5*f - j = 24. Calculate f*h(c) - 13*w(c). c**2 - c + 1 Let n(g) = -6*g**2 + 5*g + 5. Let t(h) = -h**2 + 13*h - 18. Let s be t(9). Let q(b) = -21*b**2 + 18*b + 18. Determine s*n(f) - 5*q(f). -3*f**2 Let i = -2 + 3. Let c(v) = 2*v + 3. Let r be c(3). Let l(p) = -r - 21*p - i + 8*p. Let o(z) = -9*z - 7. Determine -5*l(q) + 7*o(q). 2*q + 1 Let d(f) = -18*f**2 + 9*f - 12. Let b(k) = -k**2 + k - 1. Let l(n) = 5*b(n) - d(n). Let c(u) = -6*u**2 + 2*u - 3. What is 9*c(q) + 4*l(q)? -2*q**2 + 2*q + 1 Let a(y) = 17*y**3 + 6*y**2 - 6*y + 6. Let m(n) = -33*n**3 - 11*n**2 + 11*n - 11. What is -11*a(j) - 6*m(j)? 11*j**3 Suppose 38 = 6*i - 4. Let o(f) = -f**3 - 13*f**2 + 7*f - 6. Let m(u) = -4*u**2 + 2*u - 2. Give i*m(g) - 2*o(g). 2*g**3 - 2*g**2 - 2 Let n(t) = 33*t**2 + 3*t + 1. Let m(r) = -11*r**2 - r. Give -7*m(c) - 2*n(c). 11*c**2 + c - 2 Let w(o) = -22*o. Let n(g) = -15*g. Calculate 7*n(v) - 5*w(v). 5*v Let p(f) = -7*f - 16. Let v(h) = 4*h + 8. What is -3*p(g) - 5*v(g)? g + 8 Let f(s) = s**3 + 9. Let m(c) = 4. Calculate 3*f(x) - 7*m(x). 3*x**3 - 1 Let h(d) = 4*d - 1. Let j(w) = -3*w + 1. What is 5*h(z) + 7*j(z)? -z + 2 Let k(m) = -19. Let v(b) = b. Calculate -k(s) - v(s). -s + 19 Let c(t) = -t + 4*t + t + 4*t. Let z(s) = -s. Calculate -2*c(f) - 14*z(f). -2*f Let s(x) = -x**3 + 4*x**2 + 4*x + 3. Let f(c) = 5 + 2 + 9*c**2 + 9*c - 20*c**3 + 17*c**3. Give -4*f(q) + 9*s(q). 3*q**3 - 1 Let k(l) = 51*l - 21. Let j(o) be the second derivative of -5*o**3/6 + o**2 + 3*o. Determine 21*j(m) + 2*k(m). -3*m Let a(m) = -19*m. Let d(h) = -1445*h. Determine -153*a(w) + 2*d(w). 17*w Let g(j) = 13*j - 3. Let n(u) = -38*u + 8. What is 8*g(k) + 3*n(k)? -10*k Let f(z) be the second derivative of 2*z**3/3 + 2*z. Let o(p) be the third derivative of 0 + 4*p**2 - 1/12*p**4 + 0*p + 0*p**3. What is -6*f(g) - 13*o(g)? 2*g Let z(c) = 6*c. Let g = -10 - -10. Let q(t) = g*t - t + 2 - 2. What is -11*q(n) - 2*z(n)? -n Let j = -1 - 6. Let o(d) = 11*d**2 - 2*d + 5. Let f(z) = 5*z**2 - z + 2. Calculate j*f(u) + 3*o(u). -2*u**2 + u + 1 Let r(n) = n. Let y(v) = -2*v + 11. Let d(u) = 3*r(u) + y(u). Let j(g) be the second derivative of -g**2 + 6*g. What is -2*d(t) - 11*j(t)? -2*t Let b(z) = 7*z**2 + 3*z + 2. Let g(a) = -13*a**2 - 5*a - 4. Determine 11*b(r) + 6*g(r). -r**2 + 3*r - 2 Let n(b) = -7*b + 4. Let x(h) = -6*h + 3. Determine -2*n(z) + 3*x(z). -4*z + 1 Suppose 3*w - 6 = 18. Let b be ((-10)/(-8))/(w/(-32)). Let x(c) = -10 + c + 1 + 3*c**2 - 3*c. Let v(p) = -5*p**2 + 3*p + 14. Calculate b*v(g) - 8*x(g). g**2 + g + 2 Let o(p) = p**3 + p**2 + p. Let j(r) = -3*r**3 - 4*r**2 - 7*r. Determine -j(l) - 4*o(l). -l**3 + 3*l Let k(s) = 5*s**2 - 6*s + 5. Let o(u) = -u**2 + u - 1. Give k(g) + 4*o(g). g**2 - 2*g + 1 Let a(x) = 3 + 3 - 5 - x. Let m(n) = -2*n + 2. Let z(h) = -6*a(h) + 4*m(h). Let y(w) = -6*w + 7. What is 2*y(t) - 7*z(t)? 2*t Let f(q) = 21*q**3 + 5*q - 5. Let g(z) = -10*z**3 - 3*z + 3. Give -3*f(u) - 5*g(u). -13*u**3 Let n be -6 + 6 - (-4 - 1). Let t(d) = -d - 1. Let f(m) = 2*m + 3. Let q(h) = 3*h**2 - h. Let l be q(1). Determine l*f(o) + n*t(o). -o + 1 Let i(j) = 4*j - 16. Let w(p) = -3*p + 15. Give -5*i(g) - 6*w(g). -2*g - 10 Let t(b) = -23*b**2 + 5*b - 5. Let v(d) = -196*d**2 + 42*d - 42. Determine -42*t(c) + 5*v(c). -14*c**2 Let q(i) = 13*i**2 + 4*i + 2. Let a(u) = u. Determine 4*a(g) - q(g). -13*g**2 - 2 Let s be ((-6)/4)/(2/(-4)
{ "pile_set_name": "DM Mathematics" }
- 5*t + x = 0. Let f(o) = -3*o**2 + 0*o**2 - 2*o**t. Give f(r(c)). -5*c**4 Let y(g) = g + 6. Let o be y(-4). Let h(n) = -n**2 - 5*n - 2. Let v be h(-4). Let s(j) = 4*j**2 + 6*j**o - 11*j**v. Let w(p) = -8*p. Give s(w(c)). -64*c**2 Let u(v) = -15*v**2. Let b(q) = -q + 12. Let h(y) = 2. Let f(c) = b(c) - 6*h(c). Give f(u(l)). 15*l**2 Let m(d) be the second derivative of -d**3/6 + 8*d. Let b(u) = 10*u**2. Determine b(m(l)). 10*l**2 Let t(j) = -10*j**2. Let s(n) = -17*n - 5. Let q(m) = -144*m - 42. Let i(x) = 5*q(x) - 42*s(x). Determine t(i(g)). -360*g**2 Let b(o) = 3*o. Let z(n) = -144*n**2. Determine z(b(v)). -1296*v**2 Let y(i) = 239*i**2. Let m(j) = -19*j. Give m(y(x)). -4541*x**2 Let f(l) = -22*l**2 + 18. Let m(i) = i**2 - 1. Let d(y) = -2*f(y) - 36*m(y). Let x(r) = 3*r. Give d(x(n)). 72*n**2 Let b(p) = 15*p. Let t(g) = 253*g**2. What is b(t(f))? 3795*f**2 Let k(u) = 4*u. Let q(v) = 5*v**2. Let m(r) = -r**2. Let i(y) = 6*m(y) + q(y). Give k(i(j)). -4*j**2 Let n(m) = 6*m + 108. Let d(b) = -b**2. What is d(n(v))? -36*v**2 - 1296*v - 11664 Let l(c) be the second derivative of 0*c**2 + 0 + 0*c**3 + c + 1/4*c**4. Let m(y) = -7*y**2 + 2*y**2 + 0*y**2 + 3*y**2. What is m(l(v))? -18*v**4 Let r(y) = -2*y. Let i(n) = -260 + 260 - 4*n. Determine r(i(z)). 8*z Let c(p) = -p**2 + p**2 - 2*p**2. Let l(j) = j + 2*j - j - j. Determine c(l(k)). -2*k**2 Let s(m) = -4*m. Let g(v) = v + 25. What is g(s(q))? -4*q + 25 Let i(c) = c**2 - 6*c - 6. Let y(w) = w**2 - 5*w - 5. Let b(j) = 5*i(j) - 6*y(j). Let p(s) = -3*s**2. What is p(b(l))? -3*l**4 Let j(m) = 783*m + 1. Let y(n) = 4*n. Give y(j(o)). 3132*o + 4 Let t(k) = -28*k. Let b(d) = 22*d**2. Determine t(b(n)). -616*n**2 Let z = 7 + -6. Let m(c) = z - 1 + c. Let d(s) = 5*s**2. Determine d(m(j)). 5*j**2 Let a(b) be the third derivative of -7*b**5/30 + 11*b**2. Let w(l) = l**2. Determine a(w(j)). -14*j**4 Let i(p) = 7*p. Let t(b) = -b**2 + 3*b**2 + 3*b**2 + b**2. Calculate i(t(k)). 42*k**2 Let f(j) = -44*j. Let y(q) = q**2. Calculate y(f(o)). 1936*o**2 Let o be 16/40 - 26/(-10). Let y(z) = 5*z**2 + 0*z**2 - o*z + 3*z. Let s(q) = -2*q**2. What is y(s(v))? 20*v**4 Let p(f) = -9*f**2. Let w = 14 + -12. Let s(d) = 2*d**2 - w*d**2 + 2*d**2. Give p(s(i)). -36*i**4 Let v(m) = -2*m. Let h(n) = -n**3 + 8*n**2 - 9*n + 7. Let x be h(7). Let f = 11 + x. Let t(j) = -f*j**2 + 2*j**2 + 4*j**2. What is t(v(c))? 8*c**2 Let z(o) = -34*o**2. Let q(w) = 10*w**2. Determine q(z(s)). 11560*s**4 Let z(b) = 2*b. Let p(y) = 21*y. Let w(u) = -5*p(u) + 56*z(u). Let q(j) = -3*j - 6. Let d(m) = 2*m + 5. Let a(o) = -6*d(o) - 5*q(o). Give a(w(r)). 21*r Let v(b) = 2*b**2. Suppose 12 = 4*p - 0*p. Let a(s) = -p*s + s + 0*s. Determine a(v(z)). -4*z**2 Let u(z) be the third derivative of -13*z**4/12 + 9*z**2 - 1. Let n(i) = 3*i. Determine n(u(b)). -78*b Let f(a) be the first derivative of -9*a**2/2 - 1. Let v(n) be the second derivative of -n**3/3 - 6*n. What is v(f(s))? 18*s Let x(r) = -3*r. Let n(p) be the third derivative of 13*p**5/20 - 41*p**2. What is x(n(s))? -117*s**2 Let c(f) = 6*f**2. Let l(x) be the third derivative of -x**4/8 + 3*x**2. What is c(l(v))? 54*v**2 Let s(g) = 2*g. Let w(x) = 179*x**2. Give w(s(i)). 716*i**2 Let y(k) = -k. Let v(d) be the third derivative of d**4/24 + 4*d**2. Let i(m) = 5*m. Let o(f) = -5*i(f) + 30*v(f). Determine y(o(w)). -5*w Let l(v) be the second derivative of 0*v**3 - 1/6*v**4 - v + 0*v**2 + 0. Let r(p) = -2*p**2. What is l(r(n))? -8*n**4 Let f be (8/(-20))/(2/(-10)). Let m(d) = f*d - 16 + 16. Let h(o) = 6*o. Determine h(m(g)). 12*g Let k(d) = -18*d**2. Let i(s) = -2*s**2. What is k(i(z))? -72*z**4 Let p(q) = -3*q + 6. Let h(t) = 3*t - 4. Let b(r) = 3*h(r) + 2*p(r). Let m(w) = -w**2 - w + w. Determine m(b(x)). -9*x**2 Let p(t) = 3*t**2. Let g(q) = -40*q + 1. Calculate p(g(x)). 4800*x**2 - 240*x + 3 Let s(j) = j**2. Let a(i) be the third derivative of i**8/20160 - i**5/12 - i**2. Let b(y) be the third derivative of a(y). Calculate s(b(r)). r**4 Let i(o) = -3*o - 9*o + 11*o. Let u(j) = -4*j + 2*j + 3*j. Give u(i(x)). -x Let i(d) be the second derivative of -1/2*d**3 - 3*d + 0 + 0*d**2. Let o(v) = v. What is o(i(q))? -3*q Let h(v) = 3*v. Let w(p) = p. Let a(c) = -1. Let q(x) = -4*x + 5. Let u(j) = 10*a(j) + 2*q(j). Let z(f) = u(f) + 6*w(f). Determine z(h(s)). -6*s Suppose -3*c + 7*c - 21 = -i, 0 = c - 5*i + 21. Let l(f) = -c + 26*f + 4 - 31*f. Let k(o) = -3*o**2. Determine k(l(w)). -75*w**2 Let c(d) = -d. Let p(l) be the third derivative of l**5/15 + l**4/24 + l**3/6 - 3*l**2. Let h be p(-1). Let k(q) = -5 + 2*q + 9 - h. Determine c(k(z)). -2*z Let o(h) = -8*h. Let z(p) = 11*p. Calculate o(z(r)). -88*r Let m(t) = -t. Let s(l) = 14 - 7 - 7 - 2*l**2. Determine m(s(v)). 2*v**2 Let i(c) = -3*c**2. Let v(g) = -2*g**2 + 1640*g + 2. Determine v(i(a)). -18*a**4 - 4920*a**2 + 2 Let y(f) = f. Let d(u) be the second derivative of -u**3/6 + 3*u**2 - u. Let r be d(3). Let j(i) = -2*i + 0*i + 2*i - r*i. What is y(j(m))? -3*m Let f(d) = -d**2. Let b(y) be the second derivative of -y**4/6 - y. What is b(f(p))? -2*p**4 Let q(r) = 5*r. Let c(i) = -17*i**2 - 4. Determine c(q(o)). -425*o**2 - 4 Suppose 2*j - m - 8 = 0, -j = -m - m - 10. Let p(z) = -z**2 + j*z**2 + 2*z**2. Let r(w) = -w**2 - 2. Let v(u) = 1. Let q(a) = -r(a) - 2*v(a). Calculate q(p(y)). 9*y**4 Let y(h) = -h. Let b(j) = j**2 + 6*j - 5. Let i be b(-7). Let l(r) be the second derivative of -1/2*r**3 + 0*r**i + r + 0. Give l(y(f)). 3*f Let q(l) = 2*l. Let z(b) = 13*b**2 + 6*b - 6. Let u(v) = -13*v**2 - 7*v + 7. Let i(a) = -6*u(a) - 7*z(a). Give q(i(g)). -26*g**2 Let j(b) = -4*b. Let m(z) = 58*z**2. What is j(m(g))? -232*g**2 Let d(b) be the third derivative of -b**5/30 - 2*b**2. Let i(l) = -2*l - 10. Let x be i(-7). Let k(p) = p - x*p + p**2 + 3*p. Determine d(k(j)). -2*j**4 Let q(a) = 3*a + 6*a + 3*a + 3*a. Let o(d) = -4*d**2. What is o(q(t))? -900*t**2 Let z(h) = 2*h**2 - h - 1. Let w(u) = u**2 - u - 1. Let b(x) = 2*w(x) - 2*z(x). Let r(k) = -k**2. Determine r(b(a)). -4*a**4 Let c(k) = -4*k**2. Let n(y) = y. Let s(z) = -z. Let i(r) = -3*n(r) - s(r). Give c(i(w)). -16*w**2 Let z(o) = -5*o**2 + 23. Let k(h) = -5*h. Calculate z(k(b)). -125*b**2 + 23 Let t(i) = -6*i - 2. Let k(g) be the second derivative of -g**4/6 - 5*g. Determine k(t(d)). -72*d**2 - 48*d - 8 Let t(w) = 2*w. Let b(u) = 3*u**2 - 7*u + 0*u + 7*u. What is t(b(x))? 6*x**2 Let w(l) = 2*l. Let x(a) = 7*a - 15*a - 14*a + 2*a. Give w(x(z)). -40*z Suppose 4 = -3*d + z, 0 = -3*d - 5*z + 18 + 2. Let a(x) be the third derivative of d*x + 0*x**3 - x**2 + 0 - 1/4*x**4. Let v(i) = -i**2. What is v(a(s))? -36*s**2 Let u(a) = -2*a. Let r(x) = -3. Let z(d) = d + 7. Let t(b) = -7*r(b) - 3*z(b). Give u(t(n)). 6*n Let n(x) = 19*x. Let s(i) = -2*i**2 + 33*i. Calculate n(s(h)). -38*h**2 + 627*h Let g(u) = 3*u**2. Let o(i) be the first derivative of i**2/2 - 9. What is g(o(s))? 3*s**2 Let z(t) = 3*t**2. Let b(u) = 23*u**2. Let i(f) = 3*b(f) - 24*z(f). Let q(h) = -3*h**2. Give i(q(n)). -27*n**4 Let l(b) = -2*b. Let j(s) = 337*s. Calculate j(l(w)). -674*w Let f(q) = q**2. Let t = 66 - 65. Let p(w) be the first derivative of -t + 0*w - 3/2*w**2. What is p(f(y))? -3*y**2 Suppose 2*b - 9 + 1 = 0. Let h(v) = v + v - b*v. Let f(z) = 8*z - 5. Let d(y) = 10*y - 6. Let r(p) = 5*d(p) - 6*f(p). Calculate r(h(s)). -4*s Let i(v) = 3*v**2. Let y(d) = -16*d - 29. What is y(i(p))? -48*p**2 - 29 Let v(p) = 2*p**2. Let y(g) = -24*g - 32. Determine v(y(z)). 1152*z**2 + 3072*z + 2048 Let z(g) = -192*g + g**2 + 192*g. Let r(v) = -7*v - v + 7*v. Calculate z(r(j)). j**2 Let r(j) = -11*j + 3. Let m(q) be the first derivative of q**2 + 58. What is r(m(z))? -22*z + 3 Let j(k) = -5*k. Let q(v) = -6*v. Let n(a) = -7*a. Let f(s) = 5*n(s) - 6*q(s). Determine j(f(m)). -5*m Let m(b) = b. Let s(z) = z**2 - 7*z. Calculate s(m(a)). a**2 - 7*a Let f(d) = -2*d**2. Let g(o) = -8*o**2 - 18*o. Determine g(f(m)). -32*m**4 + 36*m**2 Let m(n) be the second derivative of n**4/12 - n - 34. Let o(l) be the second derivative of -2*l**3 + l. Give o(m(w)). -12*w**2 Let u(n) = 168*n**2. Let x(g) = -14*g. Give u(x(j)). 32928*j**2 Let w(a) = 4 + a**2 + 2*a**2 + 7*a**2 - 15*a**2. Let d(z) = -2*z. Calculate d(w(h)). 10*h**2 - 8 Let y be ((-5)/15)/(1/(-12)). Let k(v) = 3*v**2 +
{ "pile_set_name": "DM Mathematics" }
296)*-2) - sqrt(1296))/(sqrt(8)/(sqrt(4)*1))). 4*sqrt(3)/27 Simplify 0 + -3 + (sqrt(1053) + 0)*4 + (1*sqrt(1053)*-1 + sqrt(1053))**2 + -6*(sqrt(1053) + 0 + -2) + -3. -18*sqrt(13) + 6 Simplify (-1*sqrt(684))**2 - sqrt(19) - -2*sqrt(931) - (2*sqrt(684) + (sqrt(171) + 0)**2). sqrt(19) + 513 Simplify -2 + (4 + (sqrt(1900) + (2*(-1 + sqrt(1900)))**2 - (sqrt(1900) + -2*sqrt(1900) + sqrt(1900))*-2))*3*-2 + 0. -45650 + 420*sqrt(19) Simplify ((3*(2 + 2*sqrt(125)) - 2*(1 + sqrt(125))*4)*6)**2 + 2. 1440*sqrt(5) + 18146 Simplify (sqrt(125)/sqrt(245))/sqrt(5) + 5 - (-3*sqrt(245)*2 + -5)**2. -8840 - 2939*sqrt(5)/7 Simplify -6*(sqrt(1377) + 0 + sqrt(17) - sqrt(17) - ((sqrt(612) + sqrt(612) + 1 + sqrt(612))**2 + sqrt(17)) - (sqrt(102) - -1*sqrt(102)*1)/sqrt(6))*-2. -66108 - 360*sqrt(17) Simplify ((4*1*sqrt(44) + sqrt(88)/sqrt(2)*4)*2)/((sqrt(48)/sqrt(2)*2)/(sqrt(12)/sqrt(50))). 8*sqrt(11)/5 Simplify (((0 + sqrt(425) + 1)*6*-4 + -3*((sqrt(425) + sqrt(425) + 0)*-4 - sqrt(425))*-3)*2)**2. 100800*sqrt(17) + 18744804 Simplify -2 + (-4*sqrt(288) - 1*sqrt(1152))/(sqrt(72)/(5*sqrt(128))) + 1. -480*sqrt(2) - 1 Simplify sqrt(832)*3*6 + 3*sqrt(832) + 1 + sqrt(832) - (2*(2*(-1 + sqrt(832)) + sqrt(832) + sqrt(832) + -2*sqrt(832)*4))**2. -53263 - 336*sqrt(13) Simplify 4 + ((sqrt(128) - (sqrt(128) + 4)**2) + (-6*sqrt(18))**2 - (sqrt(22)/(1*(sqrt(11) - (sqrt(11) + (-3*sqrt(11) - sqrt(11))))) + 3)). -225*sqrt(2)/4 + 505 Simplify (sqrt(70)*1*3 + 3*(1*sqrt(70) - sqrt(70)))/(3*sqrt(90) - sqrt(30)/(sqrt(3) + sqrt(9)/sqrt(3))). 6*sqrt(7)/17 Simplify (-5*-2*sqrt(288)*-6 - (3 + 1 + sqrt(200))*4)**2. 24320*sqrt(2) + 1155456 Simplify (-2*sqrt(132)*-6*-3*-1)/(sqrt(588) + (2*sqrt(588)*-6 - sqrt(588)) + sqrt(588) + (sqrt(588) - (sqrt(588)*1*-6 - sqrt(588)))). -12*sqrt(11)/7 Simplify 4*(-4 + sqrt(175))*6 + (sqrt(175) + 0 + 1 - sqrt(175) - (0 + 1*sqrt(175))). -95 + 115*sqrt(7) Simplify -4*(3*(((sqrt(242) - 1*1*sqrt(242)) + -2 + sqrt(242) + 1)*5 + 3))**2. -217944 + 7920*sqrt(2) Simplify ((1 + sqrt(5))*5 - (sqrt(5) - (-5 + sqrt(5) + -2)) - ((1*sqrt(3600))/(sqrt(500) + sqrt(500)*1))**2)*2. -38/5 + 10*sqrt(5) Simplify (2 + (sqrt(1280)*-2 - sqrt(1280)) + sqrt(1280) + sqrt(720)*2 + (sqrt(5) - (sqrt(50) - sqrt(450))/sqrt(10)) + 5)**2. -70*sqrt(5) + 174 Simplify -6*(-3 + -1*sqrt(98) + 4 + (-1*2*sqrt(98) - ((sqrt(98) + 1)*-1)**2)) + -2. 210*sqrt(2) + 586 Simplify (-1*(-3 + 1*sqrt(7) + -4 + -3) - (2*-2*sqrt(63))/sqrt(900))**2. -12*sqrt(7) + 2563/25 Simplify -4*((sqrt(168)*-2*-3)/((1*sqrt(80))/sqrt(10)))/(sqrt(70)/(sqrt(30)/(sqrt(12)/sqrt(4)))*-2). 12*sqrt(3) Simplify (sqrt(35)*-2*-4 + sqrt(35) + (sqrt(2240) + -4*sqrt(2240) - sqrt(2240)))/(sqrt(49)/sqrt(7)*4 + -3*sqrt(448)). 23*sqrt(5)/20 Simplify (-3*(1 + (3 + -3*sqrt(637) - sqrt(637))*1 + 2 + 5))**2 + 5. -5544*sqrt(13) + 92822 Simplify (5*sqrt(18) + (sqrt(2) - (sqrt(64) + sqrt(4))/sqrt(2)) - (-2*sqrt(198))/(2*sqrt(396) + sqrt(11)))**2. 44402/169 Simplify (2 + ((sqrt(66)*-1*-1 + 2*sqrt(66)*-6)*-2)/((-5*2*sqrt(12))/(sqrt(2) + sqrt(288))))**2. -572*sqrt(11)/5 + 225039/25 Simplify (-5 + sqrt(1216) + (sqrt(1216) + -5 - sqrt(1216)) + -1 + sqrt(1216) + 4*2*sqrt(2736) + -4*-1*sqrt(2736) + sqrt(2736))**2. -3784*sqrt(19) + 562217 Simplify ((sqrt(102) - ((sqrt(102) + sqrt(102)*-1 - sqrt(102)) + sqrt(102) + sqrt(102)))*-1*-3*-2)/((sqrt(1944)*-2)/(sqrt(729) - 2*sqrt(729))) + -4. -4 Simplify (sqrt(76) + (sqrt(76) - (-4*sqrt(76) + 1 - sqrt(76)) - sqrt(76)) + -1)**2 + 5 + 4*(sqrt(76) + -2) + -4. -40*sqrt(19) + 2733 Simplify sqrt(11) + (sqrt(44)*-1)**2 + sqrt(11) - ((4*sqrt(121))/sqrt(11) - sqrt(11)) - -1*(-4 + (sqrt(55)/sqrt(5) + 3)**2). 5*sqrt(11) + 60 Simplify -1 + ((3 + (sqrt(108) + -1)**2)*2 - ((sqrt(108) - (-4 + 1*sqrt(108))**2) + sqrt(108) - (sqrt(108) - (6*(1 + sqrt(108)) - sqrt(108)))))*3. -324*sqrt(3) + 1025 Simplify (sqrt(33)/((sqrt(275) - sqrt(11)) + sqrt(11)) - sqrt(3) - -1*sqrt(3)*-4 - (sqrt(108) + -3 + sqrt(3) - (4 + sqrt(3) + sqrt(30)/sqrt(10) + sqrt(3))))**2. -616*sqrt(3)/5 + 7033/25 Simplify -5 + ((0 + -1*4*sqrt(68))**2 - (2*sqrt(68) + sqrt(68) + -4 + -4)**2). 96*sqrt(17) + 407 Simplify ((2 + sqrt(1539) + -2 + -3)**2 + (sqrt(190)*-1*-5)/(4*sqrt(30)/sqrt(3)))*3. -633*sqrt(19)/4 + 4644 Simplify -2 + -2 + (sqrt(3) + 1 - sqrt(3) - sqrt(3)) + 2 + 4*((sqrt(33) - -6*sqrt(1188)) + sqrt(33))/sqrt(11). -1 + 151*sqrt(3) Simplify (-5 + 2*sqrt(304))**2 - (-4 + 0 + sqrt(304))**2 - -1*1*((-3*sqrt(304))**2 + sqrt(304)). -44*sqrt(19) + 3657 Simplify -4 + ((sqrt(1470)*-2 + sqrt(1470) + sqrt(1470))/sqrt(2))/(sqrt(10)/(sqrt(2) - (sqrt(288) - (sqrt(288) + sqrt(288)*2)))). -4 Simplify (-1*(((sqrt(400)*-1)/sqrt(8))/sqrt(360) + (sqrt(1620) + 0)*5))**2. 1452605/36 Simplify (4 + (sqrt(60)*2)/sqrt(12))*-5 - (sqrt(50)/(2*sqrt(250)) + -3). -101*sqrt(5)/10 - 17 Simplify -1 + (-2*sqrt(70)*-2)/sqrt(10) + 2 + (3*sqrt(8064))/((sqrt(72) - sqrt(8))*4). 1 + 17*sqrt(7)/2 Simplify 2 + (5*(-3 + (sqrt(19) - (sqrt(190)/(sqrt(10)*-1) + sqrt(19)))))**2 - 2*(sqrt(171) + 1 + (-2*sqrt(190))/sqrt(10))*-3. -144*sqrt(19) + 708 Simplify ((4*(-4*1*sqrt(84) + sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) - sqrt(84)*1)*-6))))/(-2*sqrt(300)*2*-1))**2. 63/25 Simplify (sqrt(6655) + (sqrt(6655) - 1*sqrt(6655) - sqrt(6655)))/(sqrt(320)*1) - ((sqrt(330)*-1 + sqrt(330))/sqrt(10))/sqrt(3)*4. 0 Simplify (-5*(-4 + ((-1*sqrt(154)*4)/sqrt(11))/(-2*sqrt(4032)) + -5))**2. -75*sqrt(2)/2 + 145825/72 Simplify (3*((sqrt(68) - (sqrt(68) + 2*sqrt(68) + sqrt(68)))*-5)/(sqrt(64) + sqrt(64) + -1*sqrt(64)))**2 + 6*(-4 + 0 + sqrt(612)) + 5. 36*sqrt(17) + 34121/16 Simplify 5*(3 + (-4*2*sqrt(11) - sqrt(11))*2 - (-4*sqrt(55)/(sqrt(25)/sqrt(5)) + -3)). -70*sqrt(11) + 30 Simplify ((sqrt(10) + sqrt(40))*1)/sqrt(5) + (sqrt(8)/sqrt(4) + 1 - (-2 + sqrt(2)*1)**2) + 3*(5 + 1 + (sqrt(98)*1)**2). 8*sqrt(2) + 307 Simplify -1*((sqrt(208) + sqrt(208)*2 + 3 + sqrt(208))*-2 + -2*(2*sqrt(208) + -4))**2*-4*-5. -599120 + 3840*sqrt(13) Simplify 1*(3 + (sqrt(300) - -4*-1*sqrt(300) - (-2 + -2 + sqrt(300))))**2. -560*sqrt(3) + 4849 Simplify (-5*-6*(-1*sqrt(78)*6 + sqrt(78)))/(-4*sqrt(150)*-2*-2). 15*sqrt(13)/8 Simplify -1 + 1 + (sqrt(14)/(sqrt(7) + (sqrt(7)*1*-1 - sqrt(7) - sqrt(7)) - sqrt(7)))**2 + (sqrt(242) + -2)**2*3 + 1. -132*sqrt(2) + 6653/9 Simplify (6*(-1 + (sqrt(600)/(sqrt(1452) - -2*sqrt(1452)))/(3*((sqrt(640) - sqrt(640)*-1) + sqrt(640)))))**2. -sqrt(5)/33 + 5645381/156816 Simplify 0 + (2*sqrt(80) - (4 + sqrt(20))**2 - (sqrt(35)*2*-3)/(-3*(sqrt(7) + sqrt(7) + (sqrt(7) - -2*sqrt(7) - sqrt(7))))). -36 - 17*sqrt(5)/2 Simplify ((6*sqrt(1700)*2 - sqrt(1700) - 3*(-2*sqrt(1700) + sqrt(1700))) + 1 + (1*sqrt(1700)*2 + 4)*4)**2. 7480*sqrt(17) + 823089 Simplify (-1*(sqrt(1872) + 1)*4*-6)**2 + (3 + sqrt(1872))*-6 + (2*(sqrt(1872) + sqrt(1872) + -3) - sqrt(1872))**2 + sqrt(1872) + sqrt(1872). 13344*sqrt(13) + 1095714 Simplify (3*sqrt(135) + -3*sqrt(375))/(((sqrt(15) + sqrt(30)/sqrt(2))*3)/(sqrt(75)*-2)). 10*sqrt(3) Simplify (-2 + (sqrt(108)/(sqrt(432)/sqrt(3)) - (1 + sqrt(300) + 2)))**2. 95*sqrt(3) + 1183/4 Simplify ((sqrt(132) - sqrt(132)*3)*2 + (-3*sqrt(132)*-3 - sqrt(132)))/((sqrt(1728) - -3*sqrt(1728)*-4) + sqrt(1728)). -sqrt(11)/30 Simplify ((sqrt(108)/sqrt(16))/(sqrt(1089)*1))**2 - ((sqrt(3)*-2)**2 + 4 - (sqrt(3)*-5 + 4)). -5805/484 - 5*sqrt(3) Simplify ((sqrt(189) - 4*(sqrt(189) - -1*sqrt(189))) + (sqrt(189) - (sqrt(189)*-2 - sqrt(189)))*-5)/(4*(sqrt(448) + sqrt(448)*-2)*-4). -81*sqrt(3)/128 Simplify ((sqrt(110) - (sqrt(110) + 6*(sqrt(110) + sqrt(110)*-1 + sqrt(110) + sqrt(110) - sqrt(110)))) + (sqrt(110) - -5*1*sqrt(110)))/(6*sqrt(490)*-3*3). 0 Simplify ((-2*3*sqrt(152))/(sqrt(32)/(sqrt(48)/sqrt(6))))/(-4*(sqrt(242) + -4*(sqrt(242)*1 + sqrt(242)))). -3*sqrt(19)/154 Simplify (1*(1*sqrt(121) - sqrt(121)) + sqrt(121) + 3*sqrt(121)*3)/(sqrt(66)/(-3*sqrt(6)) - 5*sqrt(44)). -30*sqrt(11)/31 Simplify (sqrt(26)/sqrt(2)*-5 + -1)**2 + 2 + 5*sqrt(117)/(sqrt(9)*-1)*4. -10*sqrt(13) + 328 Simplify (-3*sqrt(1815)*1*-4)/(sqrt(1225)/sqrt(5) - (sqrt(5) - sqrt(35)/(sqrt(7)*2))). 264*sqrt(3)/13 Simplify 3*(5 + (-4 + sqrt(252) + 0 + sqrt(252) + 2 + sqrt(252)*-1)**2*-1). -753 + 72*sqrt(7) Simplify (sqrt(285)/(-1*sqrt(320)))/(6*sqrt(36)/sqrt(12)*4). -sqrt(19)/192 Simplify (-5*(-4*sqrt(256)*6*5)/(-6*1*sqrt(128) + (sqrt(128)*-1 + sqrt(128))*2))**2. 20000 Simplify (
{ "pile_set_name": "DM Mathematics" }
be d(0). Let k be (-2)/(-7) + 4/r. Let z = -16 + 11. Which is the closest to 1/3? (a) k (b) z (c) 5 a Let m = 23 - 25. Let j = 25/2 + -13. What is the nearest to 2/3 in m, j, 0.3? 0.3 Suppose 6*d - 48 = 3*d. Suppose 5*j - j = -d. Let h = -3 + 5. What is the closest to 2/5 in j, -1, h? -1 Let q be (-2)/(-3) - (-10)/(-6). Let x = -9074/21 + 432. Let p = -2.13 - -0.13. What is the nearest to q in x, p, -3? x Let k be -6 + 9 + 70/(-22). Which is the nearest to 0.1? (a) -2/15 (b) -0.2 (c) k a Let n = -0.3 - 0. Let v = n - -0.4. Let o = -1 + -4. Which is the nearest to 1? (a) 1 (b) o (c) v a Let z = -0.53 + 3.46. Let v = -0.07 - z. Which is the nearest to 1/4? (a) -2 (b) -3/5 (c) v b Let y = -13.9 - -14. Which is the nearest to -0.1? (a) -0.5 (b) y (c) 3/4 b Let n = -836/5 + 168. Which is the closest to -0.1? (a) -4 (b) 0 (c) n b Let y = 0.4 + 0.6. Which is the nearest to 0.1? (a) y (b) -0.3 (c) 4/5 b Let h = 0.19 + 2.81. Which is the closest to 2/3? (a) -1 (b) 2/5 (c) h b Let t = -6.6 - -7.6. Which is the nearest to t? (a) 3 (b) -3 (c) 2/5 c Suppose -2*z + 14 = -5*r, 4*z - 3 = 4*r + 1. Suppose 2*m = -0*m - 2. Let q = -2.3 - -2. What is the nearest to m in -3/4, q, r? -3/4 Let q = -8 + 7.6. Let g be 30/2 + (-1 - -1). Let p be 6/g*(-10)/(-12). Which is the closest to -2/5? (a) q (b) -0.1 (c) p a Let m be ((-8)/21)/(4/(-6)). Let p = 0.93 + 0.07. Let v = 5 - p. Which is the closest to 0? (a) -1/5 (b) m (c) v a Let n = 2 + -1.86. Let u = 4.86 + n. Let p = -3 - -4. Which is the closest to 1? (a) p (b) 0.5 (c) u a Let i = 4.62 + 0.38. What is the closest to 0 in -1, i, 0.1? 0.1 Let m = 28/3 - 115/12. Let q = 11/6 - 2. Which is the closest to 2/9? (a) q (b) -0.5 (c) m a Let a = 0 + -0.1. Let l(c) = 2*c + 6*c**2 - 4*c - 4 + 5. Let q be l(1). What is the nearest to a in -0.1, -5, q? -0.1 Let g = 0.4 + -0.2. Let u = 4 + -4.1. Let r = 51 + -53. Which is the closest to u? (a) g (b) -3 (c) r a Suppose -t = -5*o + 17, 3*t + 17 = 4*o - 1. Suppose 5*u - 10 = 4*a, -u + 23 = -o*a - 2*a. What is the nearest to -0.1 in u, -1, 2/3? 2/3 Let s be (2 - 2) + 3/(-7). Let f = 26.9 - 27. What is the nearest to -1 in f, s, -1? -1 Let f = -4/341 - -6/31. Which is the closest to -1/2? (a) -3 (b) -0.4 (c) f b Let v = -1.35 - -5.35. Let r = -6.3 + 1.3. Which is the nearest to 0? (a) v (b) 2/7 (c) r b Let n = -3.533 - -0.543. Let r = n - 0.01. Let j = -0.09 - -4.09. What is the closest to -1/4 in j, 0.1, r? 0.1 Let g = -431/13 - -33. What is the nearest to -4/5 in 0.4, -1, g? -1 Let q be (-2)/6 - 11/66. What is the closest to q in 0.4, 3/7, -0.4? -0.4 Let j = 3 - 10. Let f(u) = u**2 + 7*u. Let g be f(j). Let r = -458/5 + 92. What is the nearest to r in -3, -0.2, g? g Suppose 2*b = -b + 12. Let y be -3 - (-2)/b*6. Suppose -3*j + j = y. What is the nearest to -0.1 in -1/3, 2/11, j? j Let o = -28 - -28.2. Let u = -1 + 0.7. What is the nearest to 0.1 in o, u, 4/7? o Let v be (6 + -8)*1/(-2). Which is the nearest to 0.1? (a) -4 (b) 2 (c) v c Let l be (-60)/2 + 1 + -1. Let f be (-22)/l - (-6)/(-15). Let i = -0.2 - -0.4. Which is the nearest to f? (a) 2/11 (b) 0.5 (c) i c Let j = -0.07 + 0.04. Let o = j - -0.33. Which is the nearest to -2/9? (a) 1 (b) o (c) 3 b Let i = 3 + -2. Let o = 10 - 6. Let s = 0.1 - 0.6. Which is the nearest to -0.1? (a) o (b) s (c) i b Let s = 2.6 + -2.7. Which is the nearest to s? (a) 0 (b) 2 (c) -5 a Let g = -501/91 + 66/13. Let s = 9/8 + -7/8. Let n = 4 - 2. Which is the nearest to 0.1? (a) n (b) g (c) s c Let g = 2.46 - 0.46. Which is the nearest to g? (a) -2 (b) -3 (c) -2/3 c Let g = 6 - 12. Let o = -47 + 53.2. Let k = o + g. Which is the closest to 1/4? (a) 0 (b) k (c) 4 b Let r = -9 + 28. Let d = 17 - r. What is the nearest to 2 in 1, d, 0.3? 1 Suppose 4*i - 8 = c + c, -7 = 4*c + i. Let s be ((-4)/8)/((-5)/(-4)). Let p = 1 + -1. What is the closest to s in c, p, -3? p Let q = -3 + 7. Let f = -2.9 + 0.5. Let k = -0.4 - f. Which is the nearest to 1? (a) k (b) -0.5 (c) q a Suppose 4*y - 6 = -p, 0 = -2*y - y - 4*p - 2. Suppose k - 2*m = 5, -k + 1 = -y*k - 4*m. Let f = -75 + 80. What is the closest to -2 in f, k, -3? -3 Let t = 0.306 - -1.694. Let w = 0 - -0.2. Which is the nearest to w? (a) 0.1 (b) 1 (c) t a Let m(i) = i**3 - 10*i**2 + 9*i - 2. Let t be m(9). Let s = -0.2 + -0.3. Which is the closest to t? (a) s (b) -3/5 (c) 5 b Let z = 3 + -2.2. Let n = -0.9 + z. Let c(b) = -b**3 - 5*b**2 + 2*b + 5. Let o be c(-5). What is the nearest to n in 1/6, o, -2/9? -2/9 Let l = 26 - 25.6. What is the nearest to 1 in 2, -1/4, l? l Let t be (-1)/(-5)*9/6. What is the closest to -2 in -1/3, -1, t? -1 Let v = -6149/15 - -1213/3. Let i = v - -6. Let r = 12 + -8. Which is the closest to i? (a) -3 (b) r (c) 2/5 c Let v = -65.5 - -65. What is the closest to -1 in -4, v, 0.5? v Let w be (8 + 0)*(27/6 - 5). Which is the closest to 4? (a) w (b) 1/4 (c) 3/5 c Let m = 5 - 4.7. Suppose 4*r = -2*f + 18, -10 - 2 = -r - 3*f. Let b = 4 - r. What is the closest to -0.1 in 3/5, b, m? m Let k be 1 + -3 - (-16)/4. Let j be (1 - 5) + 2 + k. Let g = 13 - 9. Which is the closest to j? (a) -2 (b) g (c) 0.4 c Let f = -17 - -17.6. Let v = f - 2.6. Let i = 0.2 - -0.8. Which is the nearest to i? (a) 1/4 (b) v (c) 1 c Let i = -0.09 + -0.45. Let s = -0.16 - i. Let w = s + 0.02. Which is the closest to -2/7? (a) w (b) 0.5 (c) -0.1 c Let w = -5 + 4.95. Let s = 0.15 - w. Let n be 2/(-14)*(2 - 1). Which is the nearest to -3? (a) -3 (b) s (c) n a Let l = -9.6 + 9.4. Which is the closest to l? (a) -0.2 (b) 0.5 (c) -0.1 a Let b = -27 - -27.5. Let h = -2 + 3. Let d = -15 - -10. What is the nearest to h in d, -4, b? b Let x = 5.55 - 0.55. Let l = -4 - -4. Let n be 6 + l - (2 - 0). Which is the nearest to -2? (a) 2 (b) n (c) x a Let t = 0 - -1. Suppose 4*n + 13 = -5*r + 2*n, -3*r + 17 = -5*n. Which is the closest to r? (a) -2 (b) -2/3 (c) t b Let v = 0.01 + -0.31. Let d = -1.43 - -0.43. What is the nearest to d in -2/11, v, -0.2? v Let o = -61.7 - -62. Which is the closest to -1/3? (a) 3 (b) o (c) 1/3 b Let x = 51 - 50. Which is the nearest to x? (a) -0.2 (b) -2 (c) 6 a Let r = -3 - -3. Let o be (3/2)/((-3)/6). Let z be 2 - -2*o/2. What is the closest to r in z, -3, 2? z Let k = 5 + -8. Let z = -0.2 + 0. Let y = -9/7 - -41/21. Which is the closest to -0.1? (a) y (b) k (c) z c Let l be ((-1)/16)/((-4)/168*-7). What is the nearest to -0.3 in -4, 2/9, l? l Let w be (2/(-2))/(1 - -2). Let d = -4.85 + 5. Let u = 1.15 - d. What is the closest to u in 0, -5, w? 0 Let k = -6 - -2. What is the nearest to 0.1 in 2, k, -1/6? -1/6 Suppose -4 = -m + y, 5*m + 6 = -3*y + 26. Let x be (-15)/(-10)*8/42. Which is the nearest to -1? (a) -0.3 (b) m (c) x a Let k = 13 - 9. Let t = 108 + -112. Which is the nearest to -2/3? (a) t (b) 1 (c) k b Let i = -131/6 + 22. Let w be 3/2*(-2)/3. Let o be (-12)/9*w/(-10). Which is the nearest to 0.2? (a) o (b) i (c) -2 b Let x = -2 - -5. Let o = 1.1 + -0.1. Which is the nearest to o? (a) -0.3 (b) -0.4 (c) x a Let h be (4/(-10))/((-48)/(-15) - 2). What is the closest to h in -2, 3, 1? 1 Let p = 1 + 2. Suppose -l = 5*v + 154, v = -l - 3*v - 159. Let x = 1607/9 + l. Which is the nearest to 0.2? (a) x (b) p (c) -0.1 c Let q(p) = -p**3 + 5*p**2 - 4*p + 4. Let n be q(4). Which is the closest to n? (a) -4 (b) 3/4 (c) -4/5 b Let y = 12 + -11.9. Let f(r) = -r**3 + 5*r**2 + 8*r - 8. Let v be f(6). What is the closest to 1 in v, y, 3/5? 3/5 Let f = 15.87 + 1.93. Let m = f - 18. Let h = 1 + -1. Which is the closest to h? (a) -2/9 (b) m (c) -5 b Let x = -4.3 + 4. Let j = 0.5 + x. Which is the closest to j? (a) 0.4 (b) 1 (c) -1 a Let i be (-4)/(-8)*(-8 - -4). Which is the nearest to i? (a) 0.5 (b) -0.4 (c) -3 c Let g(h) = -h**3 + 8*h**2 - 7*h - 1. Let d be g(7). Which is the nearest to -0.1? (a) -2 (b) 2 (c) d c Suppose -2*j + j = -u - 4, 3 = -u. Let z = 109 - 542/5. Let x = -16 + 11. Which is the nearest to j? (a) 0.3 (b) z (c) x b Let o = -10.38 + 1.08. Let y = 53 + -44. Let n = o + y. Which is the nearest to -1? (a) n (b) -4 (c) -0.1 a Let t = 9 + -11. Which is the nearest to -2? (a) t (b) 0 (c) -5 a Let v = 3.11 + 2.23. Let q = v + -5. Let y = -0
{ "pile_set_name": "DM Mathematics" }
(-p - 5*p + 3*p)*(1 - 4 + 4))*(-13*p**2 + 36 - 36). 26*p**3 Expand 0 + 0 + z**2 + z**2 - z**2 - 3*z**2 + (-3*z - z + 6*z)*(2 - 2*z - 2) + z**2 + 4*z**2 + 2*z**2. z**2 Expand 5*j**5 - j**5 - 2*j**5 - 13*j**5 - 14 + 14 + (j**3 - j**3 + 4*j**4)*(4*j - j - 5*j). -19*j**5 Expand 5*k - k - 2*k - 2*k - 3 + 3 + (1 + 3 - 6)*(-k - k + 4*k) + 295*k - 400*k - 1063*k. -1172*k Expand -3*p**3 + 0*p**3 + p**2 + 2*p**3 + (-53*p + 29*p + 22*p)*(3*p**2 - 3*p**2 + p**2). -3*p**3 + p**2 Expand (p**4 + 2*p**4 - p**4)*(-1 + 1 - 2) + 0*p**4 + 3*p**4 + 0*p**4 + (-4 - 3 + 5)*(37*p**3 - 37*p**3 + 17*p**4) - p**4 + 4*p**4 - p**4. -33*p**4 Expand (-a + 3*a - 5*a)*(3 - 7 + 3)*((-3 - 3 + 4)*(0 - 2 + 1) - 3 + 3 + 1 + 4 - 1 - 2 - 5 + 0 + 6). 15*a Expand (3 - 3 + r**2)*(-2 - 4*r - 489*r**2 + 3 + 483*r**2). -6*r**4 - 4*r**3 + r**2 Expand (-4 + 2 + 1 + (-1 + 2 - 2)*(-5 + 4 - 1))*(-2*s + 4*s - 12*s). -10*s Expand (-2 + 3 + 0)*(-4*h + 2*h + 7*h)*(-2 + 13 + 0 - 2 + 2 + 1 + 3 - 6 + 1 + 4 + 2 - 4 + (-2 + 5 - 5)*(-4 + 0 + 2) - 1 + 2 + 1). 90*h Expand (-3 + 1 + 1)*(-k**3 + 6*k**3 + k**3) + (-4*k**2 + 3*k**2 - k**2)*(4*k - 3*k - 3*k) + 59*k - 59*k + 8*k**3. 6*k**3 Expand (18*x**4 + 161*x**4 - 80*x**4)*(-2 + 5 - 1)*(-6*x + 0*x + 3*x). -594*x**5 Expand (-3 + 1 + 3)*(-2*w - 3*w + 19*w - w + 2*w + 0*w - 5*w + 2*w + 2*w + (3 - w - 3)*(3 + 2 - 3) + 4*w - w - 2*w). 13*w Expand -w + w - w**2 + w**4 - 90*w**3 + 12*w**4 + 90*w**3 + (-2*w + 3*w - 2*w)*(4*w**3 - 2*w**3 + 0*w**3). 11*w**4 - w**2 Expand (11 + 4 + 2)*(0 - 3*x + 0) - 3 + 3 + 5*x. -46*x Expand (-5*c + 3*c + 0*c)*(3*c**3 - c**3 - c**3) + (c - 2*c + 3*c)*(16*c**3 - 18*c**3 - 57*c**3). -120*c**4 Expand (3 - 1 - 1)*((21*k + 5*k - 10*k)*((0*k + 0*k + 2*k)*(-2 + 0 + 0) + 3*k + 2*k - 4*k - 2*k + 2*k + k) - 6*k**2 + 16*k**2 + 0*k**2). -22*k**2 Expand (-2 + 2 - 3 + (5 - 4 - 3)*(-1 - 3 + 3) + 2 - 3 + 3 + 8 + 8 - 12)*(-r**2 + 2*r**2 + r**2). 10*r**2 Expand (-3*i**3 - 3*i**3 + 4*i**3)*(-6*i**2 + 0*i**2 + 3*i**2 + (3*i + 14*i - 3*i)*(0 + 0 - 2*i)). 62*i**5 Expand (u**3 - 2*u**3 + 2*u**3)*(4*u - 2*u - u) + 4*u**4 - 1 + 1 + (1 - 2 + 0)*(-2*u**3 + 2*u**3 - 3*u**4) + 2*u**2 - 2*u**2 + u**4. 9*u**4 Expand (8*t - 3 + 3)*(-5*t**2 - 6*t**2 + 4*t**2). -56*t**3 Expand (2*k + 2*k - 8*k + 7*k**2)*(3 - 2 - 2). -7*k**2 + 4*k Expand (2*t - 3*t + 0*t)*(1 + 4 - 3)*(31 - 63 + 26)*(-t + 0*t + 0*t). -12*t**2 Expand (8*r**2 - 1 - r**4 - 8*r**2)*(106 - 17 + 16). -105*r**4 - 105 Expand (-3 + 3 + 1)*(50*j + 91*j - 37*j). 104*j Expand (2*j + 0*j - 3*j)*(820*j + 273*j + 651*j). -1744*j**2 Expand (-47*z - 59*z + 91*z + z**4)*(-3*z + z + 6*z)*(-4 + 5 - 3). -8*z**5 + 120*z**2 Expand (133*t**2 + 360*t - 360*t)*(4*t**2 - 5*t**2 - 4*t**2) + 2*t**4 - 2*t**4 + t**4. -664*t**4 Expand (j**2 + j**2 - 4*j**2)*(2*j + j - 4*j) - 3*j**3 - 12*j**3 + 4*j**3. -9*j**3 Expand (2*d**3 - 3*d**3 + 2*d**3 + (-3*d - 4*d + 5*d)*(-179*d**2 - 70*d**2 - 153*d**2))*(-4*d**2 + 3*d**2 - d**2). -1610*d**5 Expand (3 - 3 - 7)*((2 + 9 + 0)*(-2*b + 5*b - b) - 2 - b + 2 - 2*b + b + 4*b). -168*b Expand (-18 + 18 - 13*k)*(0 - 9 + 3 - 10). 208*k Expand (0*l**3 + l**3 + l**3)*(-20 + 2 - 8 - 11). -74*l**3 Expand 0*k**3 + 2*k**4 + 0*k**3 + (-2*k**2 + 2*k**2 + k**2)*(-3 + 3 - k**2) + 5*k**4 - 4469*k**2 + 4469*k**2. 6*k**4 Expand (88*s + 222*s + 141*s)*(-s**2 - s + s - 3*s**2 + 3*s**2 - s**2 + (-3*s + s + s)*(0*s - s + 3*s)). -1804*s**3 Expand (2*z - 1799 + 1786 - z)*(-5*z**2 + z**2 + 2*z**2) + (14 - 14 - 12*z**2)*(z + 2*z - 5*z). 22*z**3 + 26*z**2 Expand (3*v + v - 3*v)*(-1 + 2 + 1) - 39 + 39 - 53*v + v + 2*v + v. -47*v Expand 2*z - 3 + 3 + (-4*z + 2*z + z)*(-1 - 2 + 2)*(-4 - 5 + 2). -5*z Expand -3*k**2 + 2*k**2 + 2*k**2 + k**2 - 4*k**2 + k**2 + (2*k + 0*k - k)*(-k - 1 + 1). -2*k**2 Expand -3*m + 3*m + m**4 - 2*m**4 - 2*m**4 + 2*m**4 + m**4 + m - m + (2*m**3 - 2 + 2)*(m + 4 - 4) - m**4 + 4*m**4 - m**4 - 70*m**4 - 2*m**4 - 39*m**4. -107*m**4 Expand (q**5 + q**5 - 4*q**5)*(-7 - 2 + 21). -24*q**5 Expand (-2 + 3 + 0)*(-3 + 6 - 1)*(0 + 0 + 2*g**2) - 4 + 4 - 8*g**2. -4*g**2 Expand -3*w - w + 0*w + (-9 - 57 - 57)*(-3*w - 2*w + 3*w). 242*w Expand (-6 + 8 + 5)*(21*a - 22*a + 0*a - 56). -7*a - 392 Expand (15 - 12 + 4)*(7*s**4 - 1 - 8*s**4 + 2). -7*s**4 + 7 Expand (6*o + 14 - 14)*(0 + 0 - 3) - 3*o - 3 - 6 + 12. -21*o + 3 Expand (-394 + 19*t + 394)*(2 - 1 - 3). -38*t Expand 28*k**2 - 27*k**2 + 12*k**5 + 10*k**5 + (k**4 - k**4 - 3*k**4)*(0 + 0 + k). 19*k**5 + k**2 Expand (-179*n**3 - 120*n**3 + 352*n**3)*(3 - 2 + 1 + n). 53*n**4 + 106*n**3 Expand -4*o - 26*o + 10*o + (4*o + 0*o - 3*o)*(-1 - 2 - 1)*(3 - 3 - 2). -12*o Expand (-2*z - 22 + 4 + 10)*(z - 2 + 2) - 3*z**2 - 25 + 25. -5*z**2 - 8*z Expand (41 + 62 + 21 + 20 - 67)*(-z + 0*z + 0*z). -77*z Expand -2*c + 2 - 2 + (0 - 2 + 4)*(3 - c - 3) - 96*c + 35*c - 83*c + 9*c - 102*c. -241*c Expand (0*n**5 + 4*n**5 + 14*n**5)*(-1 + 19 + 5) + (1 + n**3 - 1)*(0*n**2 - 3*n**2 + 4*n**2). 415*n**5 Expand (-795 + 795 - 16*b)*(-1 + 2 - 3)*(0*b + b - 3*b). -64*b**2 Expand -q + q + q**5 + (-4*q**2 - q**2 + 2*q**2)*(q**3 - 5*q**3 + 2*q**3) - 5*q**5 + 2*q**5 + q**5 + 2*q**5 - 2 - 46*q + 46*q. 7*q**5 - 2 Expand (3*q**2 + 2*q**2 - 3*q**2)*(0*q + 0*q + 7*q**3) + q**5 - 2*q**5 + 6*q**5 + 2*q**5 - 2*q**5 + 2*q**5 - 2*q**5 - q**5 + 0*q**5. 18*q**5 Expand (4*j + 2*j - 5*j)*(-3 + 3 - j**3) + 45*j**4 + 20*j**4 - 11*j**4 + 2*j + 3*j**4 - 2*j. 56*j**4 Expand -2 + 2 + 3*v**4 + (v**3 + 2*v**3 - v**3)*(-3*v - 3*v + 8*v) - 31*v**4 - 187*v**4 + 15*v**4. -196*v**4 Expand (126*y - 1122 + 1122)*(-3*y - y + 5*y) + (0*y + y + 0*y)*(3*y + 2*y - 4*y) - 2*y**2 - y + y - 2*y**2 - y**2 + 7*y**2. 129*y**2 Expand (6 - 6 + 3*u)*(14*u + 161*u - 27*u + 50*u). 594*u**2 Expand (k - 3*k + 0*k)*(-2*k**2 - 12*k**2 - 13*k**2) + (4*k - 3 - 4*k + 2*k)*(-2*k**2 + 0*k**2 + 3*k**2). 56*k**3 - 3*k**2 Expand (6 + 2 + 1)*(4*f + f + 3 + 0). 45*f + 27 Expand (3 + 0 + 1)*(-10 - 5 - 8)*(4 - k**4 + 3*k**4 - 5). -184*k**4 + 92 Expand -8*p - 5*p - 3*p + (0 + 1 + 1)*(0*p + 3*p - 2*p) + 0*p - p - p + 4*p - 3*p - 3*p + (-p + 2*p + 0*p)*(1 - 2 + 0). -19*p Expand (-1 - 1 + 0)*(-86002*k**2 - 92*k + 3*k**3 + 86002*k**2) + k**3 + 0*k**3 - 2*k**3. -7*k**3 + 184*k Expand 4*m**3 - 5*m**2 + 5*m**2 + (0*m + 0*m + 3*m)*(-2*m**2 + 0 + 0) + m**3 - 2*m + 2*m. -m**3 Expand (a + 2 - 2 + (a + 3*a - 2*a)*(1 - 2 + 0) - 1 + 1 - 2*a - 3*a - a + 9*a)*((a**4 + 2*a**4 - a**4)*(-2 + 4 + 1) + a**4 + 3*a**4 - 5*a**4). 10*a**5 Expand (25 - 25 + 3*y)*(4*y - y - 5*y + (9 + y - 9)*(0 - 4 + 3)) - 3 + 3 - 2*y**2. -11*y**2 Expand (1 - 3*r**3 - 1)*(2*r**2 + 3*r**2 - r**2 + 4*r**2 - r**2 - 2*r**2 - 3*r**2 + 3*r**2 - r**2 + (-2*r + 0*r + r)*(0*r - 2*r - r)). -21*r**5 Expand -6 + 12*f**2 + 3 - 13*f**2 + 2*f**2 + 4*f - 4*f + (-3*f + f + 3*f)*(-2 + 2 + 2*f). 3*f**2 - 3 Expand (-4*c**3 + 3*c**3 - c**3)*(-2*c**2 - 2*c**2 + 2*c**2) + 7*c**5 - 830 - 2*c**3 + 830. 11*c**5 - 2*c**3 Expand (0*b**2 + 4*b**2 - 6*b**2)*(224 - 51 + 113)*(2*b**3 + b - b). -1144*b**5 Expand (-2*c + 3*c - 2*c)*((1 - 1 - 1)*(2 - 4 + 1) - 1 + 2 - 2 + (3 - 5 + 0)*(2 - 5 + 1) - 219 - 77 - 70). 362*c Expand -15 + 25*g**3 + 25 - 5 - 3*g**2 + 3*g**2 - 2*g**3 + 0*g**3 - g**3 + 3*g**3 + (-5*g**3 + 2*g**3 + 4*g**3)*(2 - 2 - 1) + 0*g**3 - 2*g**3 + 4*g**3. 26*g**3 + 5 Expand (-1 + 1 + i)*(-75 - 234 + 45). -264*i Expand (-4 + 2 + 5)*(2*i**2 + 13*i + 7 + 16 - 25). 6*i**2 + 39*i - 6 Expand s**4 - 2*s**4 + 2*s**4 + (s + 3 - 3)*(1 - 1 - 2*s**3) + (-3 + 2 + 4)*(0*s**2 + 0*s**2 + 4*s**4). 11*s**4 Expand (-y**4 + 0 + 0)*((-4 + 5 + 1)*(-3 + 6 - 3*y + y) + 79 - 3*y - 79 + (2 - 1 + 1)*(-2*y - y + 2*y)). 9*y**5 - 6*y**4 Expand 0*m - m + m**3 - 2*m**3 + (0*m**3 + 3*m**3 - m**3)*(2 - 2 + 2) - m**3 - 3*m**3 + 6*m**3 - 2*m**3 - 13*m**3 + m**3. -9*m**3 - m Expand (-4*p + 4*p - 3*p**2)*(-29*p**2 + 8*p**3 + 29*p**2) - p**5 - p**5 - 3*p**4 + 4*p**5. -22*p**5 - 3*p**4 Expand (-2*w + 4*w - 4*w + (2 - 2 - 1)*(-w - 4*w + 2*w))*(6*w + 7*w - 7*w). 6*w**2 Expand (-4*z + z**3 + 4*z)*(2*z**2 - 4 + 4) + (z**4 - 5*z**4 + 3*z**4)*(0*z + 7*z - 19*z). 14*z**5 Expand (5 - 4 + 0)*(6*f**5 - 3*f**5 - 2*f**5) + (3*f - 4*f - f)*(-166 + 166 + 63*f**4). -125*f**5 Expand (53*d - 29*d - 23*d - 37)*(1 + 1 - 4). -2*d + 74 Expand (-120 - 5*s + 239 - 122)*(3 - 3 - 3*s**3). 15*s**4 + 9*s**3 Expand (-27*x - 15 + 32 - 15)*(4*x - 3*x + x). -54*x**2 + 4*x Expand 2*p**3 - p**3 + 0*p**3
{ "pile_set_name": "DM Mathematics" }
when y is divided by 15? 13 Let z be (5 - 0)/((-4)/12). Let b = z + 23. What is the remainder when b is divided by 3? 2 Calculate the remainder when ((-11)/(-4))/((-11)/(-396)) is divided by 20. 19 Let r be 6*(21/6 - 3). Suppose 0 = 5*k - 2*z + 11, 3*z + 11 + 4 = -r*k. Calculate the remainder when 35 is divided by (k/6)/(1/(-24)). 11 Suppose -3*b + 0*b - 2*m = -13, 5*b + 20 = 5*m. Calculate the remainder when 5*b*(-406)/(-35) is divided by 20. 18 Let s(m) = 2*m - 1. Let t be s(2). Suppose 0 = -4*f + t*f + 3. What is the remainder when f/(-12) - (-33)/4 is divided by 5? 3 Let w(b) = b**2. Let z(u) = -u**3 + 8*u**2 + 10*u - 9. Let k be z(9). Suppose k*y - 3 = -3*y. What is the remainder when y is divided by w(1)? 0 Suppose -2*y - 185 = -2*h - y, 3*h = y + 278. What is the remainder when h is divided by 19? 17 Let k = -80 + 96. Let p be ((-1)/1)/(1/3). What is the remainder when k is divided by (p/(-4))/((-1)/(-12))? 7 Let f(k) = -k**2 + 8*k + 11. What is the remainder when f(8) is divided by 6? 5 Let x(h) = -h**2 + 17*h + 56. Suppose 3*y = -2*s + 35, -3*s = 2*s - y - 45. Calculate the remainder when x(18) is divided by s. 8 Let i = 3 + 14. Calculate the remainder when 66 is divided by i. 15 Let g(a) = -2*a**2 - 4*a + 1. Let q be g(-3). Let u(h) = 2*h + 1. Let f be u(q). Let k = f - -15. What is the remainder when 10 is divided by k? 4 Calculate the remainder when (-2 + 1)*(-39 - -8) is divided by 5. 1 Let l(m) = 3*m - 16. What is the remainder when 14 is divided by l(7)? 4 Suppose d - 11 = 3*f, -2*f = -5*d + 25 + 69. What is the remainder when d is divided by 8? 4 Suppose -2*h + 4*m = -2, -13 = -3*h - 2*m + 3*m. Suppose 0*u - h = -5*u. Calculate the remainder when 8 + 2/2 + u is divided by 6. 4 Let m(u) = u**3 - 8*u**2 + 7*u - 4. Let a be m(7). What is the remainder when ((-12)/10)/(((-12)/40)/3) is divided by (a/6)/((-6)/63)? 5 What is the remainder when 2 is divided by ((-51)/(-12) + -4)*4? 0 Let t(n) = 4*n - 4. Suppose -5*j - 34 - 132 = -4*s, 2*j = 4. Let m = s - 30. What is the remainder when m is divided by t(3)? 6 Let w = 3 - 5. Let p = w - -5. Suppose t - p = 1. Calculate the remainder when t is divided by 2. 0 Let h = -6 - -56. Calculate the remainder when h is divided by 18. 14 What is the remainder when 41 is divided by -1*33*8/(-24)? 8 Suppose -3*l = l - 12, 0 = 4*n - 3*l - 11. Calculate the remainder when 18 is divided by n. 3 Suppose 2*o - 3*o + 220 = 0. Suppose 3*f - 75 = -2*h, 5*h - o = f - 2*f. Calculate the remainder when h is divided by 16. 13 Let u = 7 + 9. Let b(h) = h + 1 - 4*h + 0 + 13*h**2. What is the remainder when b(2) is divided by u? 15 Suppose 49 - 19 = 5*g. Let q = g - -25. Calculate the remainder when q is divided by 8. 7 Let o(v) = 3*v**3 - v - 1. Let l be o(-1). Calculate the remainder when (-16)/2*l/6 is divided by 3. 1 Suppose -5 = t - 0. Let y = 10 + t. Calculate the remainder when y is divided by 4. 1 Suppose -2*y = -6*y - 2*w + 52, -3*y = -w - 44. What is the remainder when 67 is divided by y? 11 Let l(y) = -y**2 + 8*y + 14. Let v be l(10). Let o(z) = -z**2 + 7. Let j be o(5). Let t = v - j. What is the remainder when t is divided by 7? 5 Let v(r) = r**3 + 7*r**2 + 2. Let i be v(-7). Let y = 17 - -65. Calculate the remainder when y is divided by 28 + i/8*0. 26 Let i(v) = 11*v - 2. Let p = 86 + -27. What is the remainder when p is divided by i(2)? 19 Suppose q = 2*k + 18, -3*q + 0 = 5*k - 21. Suppose 0 = c - 2*j - 2 - 25, 0 = 3*c - 3*j - 93. Calculate the remainder when c is divided by q. 11 Suppose 0*x - 2*x = -6. Calculate the remainder when (2 - (-3 - 31)) + x is divided by 2 + -1 - -19 - 0. 19 Suppose -3*w = -6*w + 9. Suppose -3*l = 3*g - 36, -w*l + 2*g + 78 = l. Suppose l = 3*z - 2*z. Calculate the remainder when 32 is divided by z. 15 Let d(i) = 2*i + 19. Let h be d(-7). Let s(j) = -2. Let p(l) = -l + 20. Let r(f) = -2*p(f) - 22*s(f). Calculate the remainder when 41 is divided by r(h). 13 Suppose 0*p - 126 = -3*p. Suppose 7*d - 2*d = 55. Calculate the remainder when p is divided by d. 9 Let h(j) be the first derivative of -j**4/4 + 16*j**3/3 - 13*j**2/2 + 14*j - 2. Calculate the remainder when h(15) is divided by 15. 14 Suppose -6*g + 5*g = -28. Calculate the remainder when 139 is divided by g. 27 Suppose -2*l + 10 = -0*l. Suppose l*y = 6*y - 9. Calculate the remainder when y is divided by 5. 4 Suppose -4*p + 5 = -11. Suppose 0 = -z - 3*o - 5, p*z = 5*o - 3 + 34. What is the remainder when 11 is divided by z? 3 Let f be 0 - 3/9*0. Suppose -5*n = -f*n - 320. Suppose 0 = -5*s - 4*t + 158, 0*s - 2*t = 2*s - n. What is the remainder when s is divided by 16? 14 What is the remainder when -3 - ((-2684)/14 - (-2)/(-7)) is divided by 38? 37 Let i be 0/(3/((-3)/(-1))). Suppose i = -2*y + 3*y - 7. Suppose -3*u = -y*u + 16. Calculate the remainder when 14 is divided by u. 2 Suppose 3*w + 4*w = 84. Calculate the remainder when 20 is divided by w. 8 Let u(r) = r**2 + 4*r + 2. Calculate the remainder when 19 is divided by u(-5). 5 Let n(p) = -p**3 + 10*p**2 - 9*p + 5. Let f = -7 + 16. Let t(m) = m**3 + 3*m**2 - 4*m - 4. Calculate the remainder when t(-3) is divided by n(f). 3 Let u = 65 - 51. What is the remainder when 68 is divided by u? 12 Suppose -r + 5*r = 3*q - 24, q + 5*r - 27 = 0. Let n(k) = 5*k**2 + 25*k - 7. What is the remainder when n(-6) is divided by q? 11 Let d(p) = p**3 - p. Let q be d(1). Suppose -5*s + q*s + 50 = 0. Calculate the remainder when 17/((-2)/(-1 - 1)) is divided by s. 7 Let h(o) = 2*o**2 - 20*o + 7. Calculate the remainder when 84 is divided by h(11). 26 Let s = 569 - 276. Suppose 0 = 5*b - s + 83. Calculate the remainder when b is divided by 11. 9 Suppose 4*i = -2*p + 22, 0*i - 3*p = -4*i - 3. Calculate the remainder when (-9 - i)*(-3)/4 is divided by 4. 1 Let r(x) = x**2 - 2*x - 6. Let b be r(6). What is the remainder when (-4)/b - 562/(-18) is divided by (9 - 8)/(2/22)? 9 Let s = -13 + 16. What is the remainder when 6/5*20/s is divided by 3? 2 Let k(x) = -x**3 + 7*x**2 - 6*x + 6. Suppose 4*r = -2*q - 6 + 34, 4*q = 4*r + 92. Suppose 0 = 5*n - q. Calculate the remainder when k(6) is divided by n. 2 Let i(p) = 2*p. Let f be i(1). Suppose 4*d - f*v - 129 = -3*v, 0 = 3*v - 15. Calculate the remainder when d is divided by 11. 9 Let i = 1 - -4. Suppose i*r + 8 = r. Calculate the remainder when (3/r)/((-3)/2) is divided by 1. 0 Let w be 3 + 1 + (8 - 3). Suppose -4*x - 26 = -l, x + 2 = -3. What is the remainder when l is divided by w/(-12) + (-19)/(-4)? 2 Let u = 1 - -1. Suppose 7 = 3*y + 4*i + 1, -5*y + 10 = u*i. What is the remainder when 4 is divided by y? 0 Suppose 4*x - 196 = -x + 2*w, 3*x = -5*w + 99. Calculate the remainder when 127 is divided by x. 13 Let s(n) = n**3 - 7*n**2 - 5*n - 16. What is the remainder when s(8) is divided by 3? 2 Let z(o) = -7*o - 20*o**2 + 37*o**2 + 2 - 18*o**2. Calculate the remainder when z(-6) is divided by 4. 0 Suppose -4 + 1 = -b. Suppose -4*w = -w + 5*y - 10, 0 = b*w - 5*y - 50. Calculate the remainder when (-20)/4*38/(-5) is divided by w. 8 Let p(v) = -6*v + 6. Let k be p(3). Let x = 20 + k. What is the remainder when 13 is divided by x? 5 Suppose 0 = r + 3*r + 4. Let b = 5 + r. Suppose 0*c = -4*c, b*c = -2*s + 20. Calculate the remainder when 28 is divided by s. 8 Suppose -5*a + 28 = -a + 4*t, -a + 17 = -4*t. Calculate the remainder when 35 is divided by a. 8 Let z(c) = c + 60. Let n be z(0). Suppose -n = -2*b - 3*b. What is the remainder when (-5 - -3) + (-37)/(-1) is divided by b? 11 Let u = 27 + -22. What is the remainder when 24 is divided by u? 4 Let f(c) = c**2 - 16*c + 24. Let d be f(16). Suppose 3*m + 5*o - d = 0, m + 2 = -5*o - 0. What is the remainder when 50 is divided by m? 11 Suppose x + x = 4. Suppose x*v + 15 = 3*v. Let c = 108 - 65. What is the remainder when c is divided by v? 13 Let f(g) = 2*g**2 + 1. Calculate the remainder when f(-4) is divided by 12. 9 Let w be ((-8)/(-10))/(12/(-30)). Suppose 2*r + 2 = -22. Calculate the remainder when (-22)/r - w/12 is divided by 1. 0 Suppose 4*x = -12*x + 704. Calculate the remainder when x is divided by 24. 20 Suppose 18 + 5 = 4*w - s, -3*w = 3*s - 36. What is the remainder when 16 is divided by w? 2 Let s = -4 + 5. Calculate the remainder when 2 is divided by s. 0 Suppose 209 = 3*o - 5*g,
{ "pile_set_name": "DM Mathematics" }
-37*i**4/12 + 4*i**3/3 + 44*i. What is the second derivative of m(l) wrt l? -74 Let n = 4 - 1. What is the third derivative of 0*f - f - 3*f**2 + f - n*f**6 wrt f? -360*f**3 Suppose 4*o - 1 = -5*h + 55, -7 = o - 4*h. Find the second derivative of 3*i**4 + 2*i - 9*i**2 + o*i**2 wrt i. 36*i**2 Let j(q) be the first derivative of 0*q**3 - 3/4*q**4 - 1/2*q**2 + 0*q + 1. Find the second derivative of j(s) wrt s. -18*s Let l(z) be the third derivative of z**4/6 + z**3/2 + 9*z**2. Find the first derivative of l(o) wrt o. 4 Find the second derivative of -6*o**4 - 57*o**3 - 3*o - 3*o + 57*o**3 wrt o. -72*o**2 Let v(q) be the first derivative of 0*q**4 + 0*q - 2/3*q**3 - 3/7*q**7 + 0*q**6 + 0*q**5 + 8 + 0*q**2. Find the third derivative of v(u) wrt u. -360*u**3 Let c(t) be the first derivative of 35*t**2/2 - 23*t + 27. What is the first derivative of c(x) wrt x? 35 Let x(q) be the first derivative of 0*q + 0*q**3 - 3/2*q**2 - 1/2*q**4 + 4. What is the second derivative of x(t) wrt t? -12*t Suppose -4*j + 2*j = 14. Let w(z) = z**3 + 8*z**2 + 6*z - 4. Let d be w(j). Find the second derivative of t**3 + t**3 + 5*t - d*t wrt t. 12*t Find the second derivative of -4 - 15*o**5 - 2*o**5 + 4 + 4*o wrt o. -340*o**3 Differentiate 5*y - 15*y + 1 - 3*y + 11 wrt y. -13 Let f(n) = 2*n. Let o be f(2). Find the second derivative of -3*c - 2*c + 9*c**o + 3*c wrt c. 108*c**2 Let l(c) be the third derivative of c**7/14 + c**5/20 - c**3/6 + 14*c**2. What is the third derivative of l(o) wrt o? 360*o Find the second derivative of -18*k - 493*k**4 - 1 + 1 + 438*k**4 wrt k. -660*k**2 Suppose -5*l + l = 0. Suppose -3*k = -l - 15. Find the third derivative of 3*z**2 - 2*z**2 + 6*z**6 - k*z**6 wrt z. 120*z**3 Let l(x) be the third derivative of 0*x**3 + 0*x**6 + 0*x**4 + 7/60*x**5 + 0*x - 7*x**2 - 2/105*x**7 + 0. What is the third derivative of l(d) wrt d? -96*d Suppose -5*z = -8 - 2. Let j(d) = d**2 - d - 4. Let y be j(3). Find the second derivative of 0*x - z*x**3 + y*x - 5*x wrt x. -12*x Let c(l) be the second derivative of 2*l**7/7 + 8*l**3/3 - 27*l. Find the second derivative of c(n) wrt n. 240*n**3 Let v(l) be the third derivative of 0*l**7 + 0*l**6 + 0*l**4 + 0*l + 2*l**2 + 0*l**3 + 0 + 1/60*l**5 + 1/336*l**8. Find the third derivative of v(h) wrt h. 60*h**2 Differentiate -3*t**2 - t**2 - 5 - t**2 + 8 with respect to t. -10*t Find the second derivative of 22*b + 47*b**3 - 9*b - 50*b**3 wrt b. -18*b Let g(v) = 48*v + 31. Let z(p) = -47*p - 31. Let u(c) = 4*g(c) + 5*z(c). What is the derivative of u(x) wrt x? -43 Find the third derivative of -2 + 1 - 9*c**4 + 1 - 2*c**2 wrt c. -216*c Let a(v) = 2*v + 1. Let d(n) = -n - 1. Let q(i) = 3*a(i) + 5*d(i). Let c be q(4). What is the first derivative of c*x + x - 2*x - 1 wrt x? 1 Let v(p) be the third derivative of 1/60*p**6 + 0*p**3 + 0*p**5 + 0 + 0*p - p**2 + 1/12*p**4. Find the second derivative of v(g) wrt g. 12*g Let c(w) be the first derivative of w**7/7 + 25*w**6/3 - w**3 + 12*w + 25. What is the third derivative of c(j) wrt j? 120*j**3 + 3000*j**2 Let f(m) = -9*m**2 + 9. Let a(g) = 28*g**2 - 27. Let o(n) = 2*a(n) + 7*f(n). Find the first derivative of o(k) wrt k. -14*k Let r(x) be the first derivative of -7*x**2/2 - 4*x - 5. What is the derivative of r(h) wrt h? -7 Let z(p) = -2*p - 5. Let g be z(-4). Find the third derivative of 2 + 0*f**3 - 2 + 2*f**2 + 3*f**g wrt f. 18 Let v be (-28)/(-6) + (-4)/6. What is the second derivative of k**5 - k - 5*k**5 - v*k**5 + 6*k**5 wrt k? -40*k**3 Let a(z) = z**3 + 4*z**2 - 4*z + 4. Let m be a(-5). Let o be 2 + (m + 1)/1. What is the third derivative of -o*p**6 - 2*p**2 + 4*p**6 + 0*p**2 wrt p? 240*p**3 Let c(o) be the third derivative of -2*o**7/21 + 5*o**4/24 - o**2. Find the second derivative of c(w) wrt w. -240*w**2 Let b(o) = o**2 + 5*o - 1. Let n be 78/(-9) + 4/6. Let t = -13 - n. Let l(m) = -3*m + 1. Let z(u) = t*l(u) - 3*b(u). What is the derivative of z(f) wrt f? -6*f Let t = 6 + -2. Suppose -c + 22 = 4*k, 0 = t*c + 3*k - 48 + 12. Find the third derivative of -4*z**6 - 2*z**2 + 0*z**c + 2*z**6 wrt z. -240*z**3 Let j = -17/2 - -9. Let q(d) be the first derivative of -j*d**2 - 1 + 0*d - 2/3*d**3. What is the second derivative of q(o) wrt o? -4 Suppose -3 - 9 = -4*n. Differentiate -n*y**4 + 4 - 3 - 3 with respect to y. -12*y**3 Let y(s) = s**3 + 6*s**2 - 5*s + 5. Let d(x) = 7*x**2 - 6*x + 6. Let h(z) = 5*d(z) - 6*y(z). What is the third derivative of h(t) wrt t? -36 Differentiate x**3 + x - x + 2 + 5*x**3 with respect to x. 18*x**2 Let i(m) = -m**3 - 11*m**2 - 10*m + 3. Let y be i(-10). What is the second derivative of g**y - 19*g + 15*g + 2*g**3 wrt g? 18*g Let c = 1 - -2. Suppose 6*r - c*r = 0. What is the second derivative of t + r*t**4 - 2*t + 2*t**4 wrt t? 24*t**2 Let t(w) = -3*w**4 - 4*w + 1. Let q(i) = -6*i**4 - 9*i + 2. Let z(l) = 4*q(l) - 9*t(l). What is the derivative of z(p) wrt p? 12*p**3 Let l(f) be the first derivative of 0*f + 0*f**5 + 3/2*f**2 - 5/6*f**6 + 2 + 0*f**4 + 0*f**3. What is the second derivative of l(w) wrt w? -100*w**3 Suppose -6 = -4*n - 5*o + 4*o, -3*n - 5*o = 4. Find the first derivative of 3*c - 6*c - 5*c - 5 - n*c wrt c. -10 Let i(b) be the first derivative of 2/7*b**7 + 0*b**5 + 4/3*b**3 - 3 + 0*b**6 + 0*b**4 + 0*b**2 + 0*b. What is the third derivative of i(d) wrt d? 240*d**3 Let k(m) be the second derivative of 25*m**7/42 + 5*m**3 - 4*m. What is the second derivative of k(y) wrt y? 500*y**3 What is the third derivative of -4*b**4 - 33*b**2 + 43*b**2 - 5*b**5 + 4*b**4 wrt b? -300*b**2 Let r be (-4 - 0/2)*-2. What is the derivative of -4*v - r + 8 - 2 - 2*v wrt v? -6 What is the second derivative of -7*k - 18*k**3 + 0*k - k - 2*k wrt k? -108*k Let m(x) be the first derivative of 2*x**4 + 2*x**2 - 11. What is the second derivative of m(b) wrt b? 48*b Suppose 14 = 5*k + 3*h, 0 = 2*h - 5*h + 9. Let s(i) be the first derivative of k + 2/3*i**3 + i + 0*i**2. Differentiate s(x) with respect to x. 4*x Let a(u) be the third derivative of -u**10/75600 - u**6/360 - u**5/30 - u**2. Let n(r) be the third derivative of a(r). Differentiate n(q) wrt q. -8*q**3 Differentiate 51 - 10*h**2 + 10*h**2 - 7*h**4 - 9 with respect to h. -28*h**3 Find the third derivative of 1 + 0*r**3 - 4*r**5 + 29*r**2 - 20*r**2 + 3*r**3 wrt r. -240*r**2 + 18 Suppose 0 = 6*v - 3*v - 9. Let k(x) be the first derivative of 1/3*x**v + 0*x - 1/2*x**4 + 0*x**2 - 1. What is the third derivative of k(h) wrt h? -12 Let o = 0 + 2. Find the third derivative of j**6 + o*j**6 + 5*j**2 + 0*j**2 + 0*j**6 wrt j. 360*j**3 Let i = -5 + 1. Let a be ((-4)/i)/((-1)/(-2)). What is the first derivative of -4 + a + 2*z**2 - 4*z**2 - 1 wrt z? -4*z Let u be ((-1)/(-3))/((-7)/(-42)). Differentiate -1 + 0*q + 0 + u*q**4 + 0*q wrt q. 8*q**3 Let r = -6 - -11. Let x be (-5)/20*6*-2. Find the third derivative of -3*v**2 + 5*v**x - 4*v**4 - r*v**3 wrt v. -96*v What is the derivative of 24 + 37 + 25*t**2 + t**3 + 2*t**3 - 21*t**2 wrt t? 9*t**2 + 8*t Suppose 28 = -k + 8*k. What is the second derivative of 6*m + m - 3*m**4 + 7*m**k wrt m? 48*m**2 Let v(j) = 2*j**2 - j**3 + 6 + 2*j + 2 - 2. Let c(l) = -6*l + 3*l**3 - 5*l**2 + l - 13 - l**3. Let k(s) = 2*c(s) + 5*v(s). What is the derivative of k(f) wrt f? -3*f**2 Let o(y) be the third derivative of -y**9/1008 - y**6/90 + y**3/2 - 3*y**2. Let h(b) be the first derivative of o(b). Find the third derivative of h(m) wrt m. -180*m**2 Let p(q) = -q**4 - q**3 - 1. Let x(a) = 9*a**4 + 4*a**3 - 16. Let o(v) = 4*p(v) + x(v). What is the first derivative of o(r) wrt r? 20*r**3 Let i be (-2)/6 - (-68)/(-12). Let f be -3 + -51*4/i. What is the first derivative of f*w - 31*w + 4*w**4 + 4 wrt w? 16*w**3 Let a(w) be the second derivative of 1/4*w**4 + 0*w**5 + 0 + 0*w**2 - 4*w + 0*w**3 + 1/6*w**6. Find the third derivative of a(g) wrt g. 120*g Let c(j) = j + 1. Let p(q) be the first derivative of -4*q**2 - 2*q - 1. Let k(i) = 2*c(i) - p(i). What is the first derivative of k(h) wrt h? 10 Let j(n) be the second derivative of 4*n**3/3 + 3*n**2/2 + 3*n. Differentiate j(q) wrt q. 8 Let w = 4 + -7. Let v be 2/6 - 5/w. Find the third derivative of -3*o**v + 0*o**3 + 0*o**2 + o**3 wrt o. 6 Let j = -3 - -8. Let d(s) be the third derivative of -1/6*s**3 + 0*s**4 - 1/30*s**j + 0 + 2*s**2 + 0*s.
{ "pile_set_name": "DM Mathematics" }
+ 1812? 1808 In base 8, what is 2 + -5256042? -5256040 In base 7, what is -5026 - -244? -4452 In base 3, what is -202112122012 + -11? -202112122100 In base 9, what is 12836 + 313? 13250 In base 16, what is -2156 - 9? -215f In base 16, what is 95 + 494? 529 In base 16, what is -a3 - 1bb? -25e In base 7, what is -1422 - 21? -1443 In base 6, what is 1154 - -210? 1404 In base 2, what is -11 + 1001110110001011001? 1001110110001010110 In base 7, what is -2 + -60334? -60336 In base 12, what is 2 + 687266? 687268 In base 16, what is -8dcf + 17? -8db8 In base 6, what is -1323 - -233? -1050 In base 16, what is -16990 - -d? -16983 In base 6, what is 12 - 15402? -15350 In base 5, what is -1003420 + 0? -1003420 In base 15, what is 56 - -4242? 4298 In base 16, what is -132e7 - 4? -132eb In base 15, what is 88 + -616? -57d In base 4, what is 1 + 32000301? 32000302 In base 11, what is 57aa + 65? 5864 In base 2, what is -110001010 + 101011101? -101101 In base 5, what is -200200 + 12? -200133 In base 13, what is 37 + -b96b? -b934 In base 15, what is 3 + 11d76? 11d79 In base 8, what is -40077 - -6? -40071 In base 2, what is -1 + 110001111110000? 110001111101111 In base 11, what is -a9636 - 4? -a963a In base 12, what is -2b609b6 - 5? -2b609bb In base 5, what is -10324 + -1312? -12141 In base 5, what is -114341 - 24? -114420 In base 9, what is 15208 - 55? 15143 In base 16, what is -3 + -ff64? -ff67 In base 5, what is 2102011 - 20? 2101441 In base 14, what is 15 + 38a8? 38bd In base 11, what is -2a9 + 13? -296 In base 16, what is -11ca - -15? -11b5 In base 11, what is -3948 - 4? -3951 In base 15, what is 46 - 324? -2cd In base 16, what is 6 + -2c36? -2c30 In base 5, what is -44201300 - 3? -44201303 In base 7, what is -2 + 510102? 510100 In base 6, what is 143 + -22512? -22325 In base 16, what is 9abb + -3? 9ab8 In base 14, what is 7 - 6b7? -6b0 In base 10, what is 3 - 106724? -106721 In base 7, what is -232 - -134023? 133461 In base 2, what is 1100011 - -10010001? 11110100 In base 2, what is -110101000011 - 10011? -110101010110 In base 13, what is -1c751 + -2? -1c753 In base 3, what is 2201121022 - -11? 2201121110 In base 16, what is 1 - 4f1c? -4f1b In base 4, what is -321311 + 1011? -320300 In base 10, what is -5 - 56331? -56336 In base 11, what is -2 - 8057? -8059 In base 5, what is 0 - -13101211? 13101211 In base 11, what is 54631 - 4? 54628 In base 13, what is -3 - 16229? -1622c In base 16, what is 0 - -2b39? 2b39 In base 13, what is b2b63 + 4? b2b67 In base 7, what is -124 - 526023? -526150 In base 15, what is -bada - -3? -bad7 In base 12, what is -a + -5188? -5196 In base 12, what is -1603 - 3? -1606 In base 9, what is -7 - -45735? 45727 In base 4, what is -10023021 - -2? -10023013 In base 3, what is 2 + -22110210012? -22110210010 In base 4, what is -10 - 321313113? -321313123 In base 12, what is 20b22 - -3? 20b25 In base 12, what is -98b5 + -55? -994a In base 16, what is 73ad + 5? 73b2 In base 15, what is -3 + -18d89? -18d8c In base 14, what is -3 - -286b9? 286b6 In base 7, what is 1100030 + -4? 1100023 In base 9, what is -4 - 175781? -175785 In base 13, what is 3a159 - c? 3a14a In base 10, what is 1 - -115538? 115539 In base 15, what is 26 + -4c2? -49b In base 11, what is -6313a - 4? -63143 In base 6, what is 4541310 - 1? 4541305 In base 12, what is 3 - a8942? -a893b In base 10, what is -22495 - -1? -22494 In base 12, what is 711 + 12? 723 In base 11, what is -5 + 221568? 221563 In base 7, what is -2142 + -144? -2316 In base 15, what is 113b + -9? 1132 In base 8, what is 4 + 5604? 5610 In base 3, what is 222121102201 + -1? 222121102200 In base 11, what is 29a2 - 3? 299a In base 2, what is 11 - -1100010111101001? 1100010111101100 In base 8, what is -133 - -77? -34 In base 16, what is 1 - cb3? -cb2 In base 11, what is -39765 + -5? -3976a In base 14, what is ac939 - 2? ac937 In base 7, what is 205241 - -22? 205263 In base 4, what is -3 + 1000130103? 1000130100 In base 15, what is -522b + -34? -5260 In base 16, what is -5 + 1a3e1? 1a3dc In base 4, what is 2232321 - -10? 2232331 In base 5, what is 22404020 - 2? 22404013 In base 9, what is 20 - 5158? -5138 In base 7, what is 10362 - -52? 10444 In base 8, what is 0 + -37270? -37270 In base 5, what is -110 - -30? -30 In base 2, what is 11010 + -1111000110? -1110101100 In base 6, what is 12530 - -42? 13012 In base 12, what is 24158 - -2? 2415a In base 9, what is 2 - -13626? 13628 In base 3, what is 1101201001211 + -1? 1101201001210 In base 7, what is -30224 + -13? -30240 In base 6, what is 3 - 204135? -204132 In base 6, what is -5 - 14403515? -14403524 In base 5, what is -132 + 114414? 114232 In base 10, what is 31178 - 2? 31176 In base 9, what is 6 - 34034? -34027 In base 14, what is 3d741 - -5? 3d746 In base 12, what is -31 - 237? -268 In base 3, what is 120100101 + 10002? 120110110 In base 8, what is 2 + -1375123? -1375121 In base 9, what is 163716 - 3? 163713 In base 5, what is 0 + 1211334? 1211334 In base 12, what is -117b75 - -1? -117b74 In base 10, what is 33628 + -4? 33624 In base 10, what is 11 - 328? -317 In base 2, what is 1011101111110000 - -10? 1011101111110010 In base 16, what is -133 - -18f1? 17be In base 9, what is -722 + 31? -681 In base 16, what is 203 - 56? 1ad In base 15, what is -5 + -6db? -6e1 In base 6, what is 0 - 421404? -421404 In base 13, what is -3 + -7855? -7858 In base 2, what is 1 - 100101001111000? -100101001110111 In base 6, what is -33312 + 13? -33255 In base 3, what is -122 - 10100111211? -10100112110 In base 7, what is 1136 + -20441? -16302 In base 16, what is -5 - fef7? -fefc In base 9, what is -31537 + 2? -31535 In base 8, what is 6543 - -44? 6607 In base 9, what is -5 - 325031? -325036 In base 9, what is -4 + -455743? -455747 In base 9, what is 55 + 114? 170 In base 3, what is -220 - -221200? 220210 In base 16, what is -2f5 - -9? -2ec In base 16, what is -2a87 + -52? -2ad9 In base 16, what is -5 + -36555? -3655a In base 12, what is -22 + -5726? -5748 In base 15, what is 4 - 6142? -613d In base 12, what is 552 + 1063? 15b5 In base 5, what is 3313 + 2? 3320 In base 9, what is -162 + -20? -182 In base 13, what is -5 + -130c59? -130c61 In base 16, what is -4d1b + -4? -4d1f In base 15, what is 13541 + 5? 13546 In base 15, what is a63 - bb? 997 In base 10, what is 96 + -126? -30 In base 5, what is -3004402 - 104? -3010011 In base 5, what is 1 - 2432133? -2432132 In base 3, what is -20112 + 110222? 20110 In base 3, what is -1 - 211101021202? -211101021210 In base 9, what is 2 - -111376? 111378 In base 5, what is 14212022 + 1? 14212023 In base 6, what is -12110042 - -2? -12110040 In base 3, what is -1222 - -11012? 2020 In base 6, what is -14342 - 12? -14354 In base 11, what is 2 + -73409? -73407 In base 16, what is -85d92 + 3? -85d8f In base 16, what is 0 + 1f6a? 1f6a In base 6, what is -2 + 144255? 144253 In base 3, what is -210120110 - -11022? -210102011 In base 4, what is -1221233 + -1033? -1222332 In base 2, what is -10000 - -11110010? 11100010 In base 7, what is 303343 - -10? 303353 In base 15, what is -b478 - 8? -b481 In base 7, what is -6 - -122525? 122516 In base 7, what is 1416465 + 3? 1416501 In base 14, what is -18 + -128? -142 In base 14, what is 36a0 + 171? 3831 In base 11, what is 915 - -65? 97a In base 5, what is -3013203 + 4? -3013144 In base 10, what is 265 - 263? 2 In base 3, what is 212 + -220002211? -220001222 In base 5, what is 23 + -1134320? -1134242 In base 4, what is 3031202 + 11? 3031213 In base 14, what is 3 + -4994c? -49949 In base 2, what is 110000010111001 - 11111010? 101111110111111 In base 5, what is 410 + 40313? 41223 In base 2, what is -1111111001101001110 + 1? -1111111001101001101 In base 2, what is 101100001100011011 + 0? 101100001100011011 In base 10, what is -38 + -6857? -6895 In base 11, what is 25 - 72310? -72296 In base 3, what is 22011112010 + -11? 22011111222 In base 6, what is -421455540 - 4? -421455544 In base 8, what is 13 + 4641? 4654 In base 9, what is -1 - 141182? -141183 In base 2, what is -10011100011 - -110001? -10010110010 In base 15, what is 1050 - 44? 100b In base 7, what is -3 + -341331? -341334 In base 6, what is 2230202 - 0? 2230202 In base 10, what is -959 - 31? -990 In base 13, what is -4 - 4839? -4840 In base 7, what is
{ "pile_set_name": "DM Mathematics" }
s of k? 3, 1109 Suppose 0 = -6*h - 178 + 70. Let c be ((-150)/(-4))/1 + (-9)/h. Suppose 39*y = c*y + 111. What are the prime factors of y? 3, 37 Suppose -r - 5*p + 22038 = 0, 611*r - 4*p - 110277 = 606*r. List the prime factors of r. 3, 7351 Let m(w) = 21*w - 2. Let i be m(0). Let z(j) = -69*j + 53. List the prime factors of z(i). 191 Let l be 54/(-7) + 3*4/(-42). Let c(z) = z**3 + 9*z**2 + 10*z + 6. Let y be c(l). What are the prime factors of 8/(-20) + (-594)/y? 59 Suppose 4*k + 2458 - 8538 = 4*b, -6125 = -4*k - 5*b. List the prime factors of k. 5, 61 Let t = 374 + -632. Let s = 564 + t. What are the prime factors of s? 2, 3, 17 Let d(s) = -864*s + 6119. What are the prime factors of d(-57)? 13, 4259 Let a(d) = 70*d + 328. List the prime factors of a(16). 2, 181 Let c be ((-40)/6)/(-5 - (-1398)/279). Let i = -596 - c. List the prime factors of i. 2, 3 Suppose 6*a - 24 = -0*a. Suppose -5*x = -a*p + 31 - 3, 5*p - 22 = 3*x. What are the prime factors of 1336/(-24)*(-6)/p? 167 Let w be 27*1/3 - (1 - 0). Suppose -3*y = -14 + w. List the prime factors of ((-8)/(-4))/(y/29). 29 Suppose -120*s + 125*s - 219335 = -3*z, 0 = -4*s + z + 175485. List the prime factors of s. 2, 5, 41, 107 Suppose 4*h - 2*w = -3*w + 18, 2*h - 18 = 4*w. Let o(j) = -25*j + 3. Let x(f) = -25*f + 3. Let d(q) = -3*o(q) + 2*x(q). List the prime factors of d(h). 2, 61 Let h = 675 + 3031. What are the prime factors of h? 2, 17, 109 Let s(u) = 71*u**2 + 8. Let f be s(4). Suppose 4*b - f = -64. Suppose -3*i = -3*l + b, i = -3*l + 4 + 266. What are the prime factors of l? 2, 3, 5 List the prime factors of 238194/4*(-2)/(-7) - (-1872)/(-2184). 3, 53, 107 Let x = -88 + 67. Let u = x - -453. What are the prime factors of u? 2, 3 Let c(p) = 1289*p**2 - 10*p. List the prime factors of c(1). 1279 Let c be (0 - -2)*(-1737)/(-18). Let i = 520 - c. List the prime factors of i. 3, 109 Let l(p) = 8*p**3 + 3*p**2 + 8*p + 7. Let d(f) = -23*f**3 - 8*f**2 - 25*f - 22. Let n(i) = -6*d(i) - 17*l(i). What are the prime factors of n(7)? 2, 5, 13 Let f = -16143 - -58966. What are the prime factors of f? 11, 17, 229 Suppose 4*j + 5*u - 9007 = 521, -5*j - 3*u = -11923. What are the prime factors of j? 7, 11, 31 Let z(n) = 16*n**2 - 11*n - 39. Let h(p) = 3*p**2 - 2*p - 8. Let t(w) = 4*w - 22. Let r be t(5). Let g(l) = r*z(l) + 11*h(l). List the prime factors of g(5). 3, 5 Let l be (-2*2)/1*(-30)/40. Suppose -5 = v - 5*v - 3*g, 3*g + 30 = l*v. Suppose -4*j = v*a - 18, 4*a + 4*j - 9 - 3 = 0. List the prime factors of a. 2, 3 Suppose -294*u + 291*u = -o + 14757, 3*u = -3*o + 44331. List the prime factors of o. 2, 3, 1231 List the prime factors of 41473748/2041 + (-8)/26. 2, 5, 127 Let j(n) = -67*n - 328. What are the prime factors of j(-61)? 3, 7, 179 Suppose -1 = -5*s + 4*s, -7*s + 2849 = o. List the prime factors of o. 2, 7, 29 Let r = -318 - -316. List the prime factors of 1 + 705/25 + r/10. 29 Suppose -5*k = z - 1055, -2*k + 8969 = 5*z + 3786. Suppose 4*r - 465 = z. List the prime factors of r. 3, 5 Let m(a) be the first derivative of 2*a**3/3 - 17*a**2/2 - 24*a - 26. Let q be m(-11). Suppose 5*k = -25 + q. What are the prime factors of k? 2, 19 Suppose 0 = -62*b + 85*b + 12167. Let w = -418 - b. What are the prime factors of w? 3, 37 Let d(h) = -17*h + 8. Let r be d(4). Let q = r - -74. Let k(v) = v + 18. What are the prime factors of k(q)? 2 Let w = -31 + 11. Let z = w - -22. What are the prime factors of (6 + -2 - 2)*z? 2 Let x = 1286 + -818. Let y be ((-12)/(-10))/(2 - 28/15). Suppose 0 = -12*a + y*a + x. List the prime factors of a. 2, 3, 13 List the prime factors of ((-12)/5)/(47/(7154340/(-24))). 2, 3, 43, 59 Let c(n) be the first derivative of -34 + 2/3*n**3 + 11/2*n**4 - 2*n + 1/2*n**2. What are the prime factors of c(2)? 2, 23 Suppose 3*d + 17*d - 647216 = d. What are the prime factors of d? 2, 2129 Let j(c) = 3244*c**2 - 109*c - 316. List the prime factors of j(-3). 29207 Suppose -b = 5*d - 26038, 2*b + 11 = 7. List the prime factors of d. 2, 3, 7, 31 Let f(d) = d**3 - 2*d**2 - 24*d + 61. Let s be f(16). Suppose -1675 = -8*m + s. What are the prime factors of m? 617 Suppose -4*g = -2*g + 136. Let s = g - -883. List the prime factors of s. 5, 163 Let g = -305 + 1030. Let t = g + -406. What are the prime factors of t? 11, 29 Let l(a) = 49*a + 31. Let t be l(5). Let y = 463 - t. What are the prime factors of y? 11, 17 Let l = 3460 + -1891. What are the prime factors of l? 3, 523 Suppose 182*h - 51*h = 5504882. List the prime factors of h. 2, 21011 Suppose 53*w - 51*w = 2*f - 2744, 3*f - 4112 = 4*w. List the prime factors of f. 2, 43 Let l(s) = 3*s**3 - 30*s**2 + 7*s - 55. List the prime factors of l(20). 5, 2417 Suppose -15*i - 211325 = -94*i. What are the prime factors of i? 5, 107 Let u = 46344 - 17527. List the prime factors of u. 28817 Let v be 4*(-3 + 4) - 0/14. Suppose p = n - 3*n + 1158, 5*n + v*p = 2895. What are the prime factors of n? 3, 193 Suppose -675 = 10*h - 195. What are the prime factors of (-16)/6*2232/h? 2, 31 Let f = 33 - 11. Suppose -5*y + 25 = 2*w - w, 2*w + 3*y = f. Suppose -w*z + 7 = 2*u - 121, 187 = 3*u + 5*z. What are the prime factors of u? 59 Suppose 28*p + l = 30*p - 93, 2*l - 78 = -2*p. Suppose -3*t = -2*q + 2088, -3*q - p*t + 3125 = -45*t. List the prime factors of q. 3, 347 Let w(s) = 11 - 16*s + 4 - 5 - s**2 + 0. Let x be (3/(-2))/(1/6). What are the prime factors of w(x)? 73 Suppose -25*b = -18*b - 35. Suppose -b*r + 0*r + 5*c + 835 = 0, -2*c - 6 = 0. What are the prime factors of r? 2, 41 Let l(n) = -448*n + 2227. List the prime factors of l(-53). 3, 11, 787 Let v(o) = -o**3 - 7*o**2 - 8*o - 26. Suppose 0 = 10*m - 4*m + 36. Let d be v(m). List the prime factors of d/(-49) + (-1564)/(-14). 2, 7 Let c be (-371267)/(-39) - (-3 + (-16)/(-6)). Suppose 88*w = 102*w - c. List the prime factors of w. 2, 5, 17 Suppose -5865*a + 5860*a = 4*r - 96056, -2*r + a = -48028. List the prime factors of r. 2, 12007 List the prime factors of 467608/14 + 950/665. 2, 3, 19, 293 Let s be 8*17/(8 - 7). Let b = -437 + 707. Let w = b - s. List the prime factors of w. 2, 67 Let p(z) = 38*z - 5. Let q be p(2). Suppose -q - 14 = 5*w. Let u = 5 - w. List the prime factors of u. 2, 11 Let u = -25186 - -52808. What are the prime factors of u? 2, 7, 1973 Let p(c) be the first derivative of -c**3/3 - 6*c**2 - 29*c - 9. Let t be p(-5). List the prime factors of t/12*2*31. 31 Let p(r) = 6*r**2 + 12*r - 12 - 22*r + 5*r. Let a(f) = -6*f**2 + 4*f + 13. Let h(k) = 2*a(k) + 3*p(k). What are the prime factors of h(-4)? 2, 3, 19 Suppose 4*x - 1237 = -3*q - 144, q = -2*x + 365. What are the prime factors of q? 3, 11 Suppose -4*d + 2*w + 16 = 0, d + 18*w - 1 = 17*w. Suppose -d*n + j + 0*j = -197, j + 132 = 2*n. List the prime factors of n. 5, 13 Let j = -62 - -66. Suppose 0 = -j*h + 8*h - 20. Suppose -h*q = -118 - 22. List the prime factors of q. 2, 7 Let m(c) = -c**3 + 4*c**2 + 4. Let t be m(0). Suppose w - 5*p - 349 = 0, -t*p - 191 - 519 = -2*w. List the prime factors of w. 359 Let k = 8 + -4. Suppose 195 = k*o - 49. Suppose 50 = 3*n - o. What are the prime factors of n? 37 Let g(n) = -n**3 - 5*n**2 + 285*n + 11. List the prime factors of g(-36). 29927 Let o be (80/32)/(3/(-774) - 0). Let c = o + 1167. What are the prime factors of c? 2, 3, 29 Suppose 5*q + 6 = -x + 4*x, x + 4*q = 2. Let a be x*2 - 35/10*-62. Let g = -84 + a. List the prime factors of g. 137 Suppose -6*k + 2*k = 2*s, s + k = 1. Suppose 0 = -o + 5, -3*o = -4*n + s*n + 667. List the prime factors of n. 11, 31 Let h = -118 + 123. Suppose 0*k = -h*u + 2*k + 4507, k = 3*u - 2705. What are the prime factors of u? 3, 7, 43 Suppose -3566*y + 225460 = 3*d - 3562*y, 3*d - 225476 = -2*y. What are the prime factors of d? 2, 19, 23, 43 Let g be (-1)/((-8 + 4 - -3)/3). Suppose 0 = 4*w - g*n - 499, -3*w = 2*n - 473 + 120. What are the prime factors of w? 11 Suppose 4*b = 20, 3*b - 77 = 3*h - 95. Suppose 3*q - l - 912 = 0, -1216 = -4*q - h*l + 15*l. List the prime factors of q. 2, 19 Suppose c + 121 = 1124. Let r = c + -536. List the prime factors of r. 467 Let n be (-4)/(-1) + 1 - (46 - 38). Let o be 27/(1*(0 + 1)). What are the prime factors of ((-50)/n)/(18/o)? 5 Suppose -s = 5 - 2. List the prime factors of ((-9)/(-27))/(s*(-1)/3411). 379 Suppos
{ "pile_set_name": "DM Mathematics" }
- 4)*(i + 1) Let i(g) be the first derivative of 9801/14*g**2 + 99/7*g**3 - 9 + 107811/7*g + 3/28*g**4. Factor i(r). 3*(r + 33)**3/7 Let y(i) = 4135*i + 16543. Let n be y(-4). Find k, given that 5/2*k**2 + 1/2*k**5 - 3/2*k**n - 1/2*k**4 - k + 0 = 0. -2, 0, 1 Let u(r) = -29*r + 23. Let z be u(-6). Let k = z - 391/2. Factor 0 - c + k*c**2 - 1/2*c**3. -c*(c - 2)*(c - 1)/2 Suppose -2*i - 3*d = -1, i = -i - 4*d - 4. Suppose 0 = i*z - 563 + 195. Factor -92*v - 3*v**2 - 13*v**2 + 48*v + z*v. -2*v*(8*v - 1) Let x(c) = c - 26. Let d be x(29). Factor -44*j**4 + 20*j**d - 10*j**2 - j + 8*j**4 - 53*j**3. -j*(3*j + 1)**2*(4*j + 1) Determine k so that 404*k - 2835 - 2925 + 5352 + 4*k**2 = 0. -102, 1 Let c(j) be the first derivative of -3*j**4/16 - 317*j**3/2 - 74889*j**2/2 + 151686*j + 3265. Let c(p) = 0. What is p? -318, 2 Suppose 45 = -2*x + 6*h - 3*h, 0 = 3*x + h + 95. Let c be ((-128)/(-60))/((12/x)/(-1)). Factor -1/3 + 4/3*j**5 + 25/3*j**3 + 7/3*j - c*j**4 - 19/3*j**2. (j - 1)**3*(2*j - 1)**2/3 Let m(c) be the second derivative of -c**5/10 - 431*c**4/2 - 185761*c**3 - 80062991*c**2 + 278*c. Solve m(u) = 0 for u. -431 Let l = 65815/148023 - 3/16447. Let -2/9*f**4 + 2/3*f**2 - l + 2/9*f**3 - 2/9*f = 0. Calculate f. -1, 1, 2 Let f(k) = -8*k + 2. Let w be f(0). Factor 20*h + 9*h**3 - 18*h - w*h + 3*h**2. 3*h**2*(3*h + 1) Let p(k) be the first derivative of k**6/8 - 57*k**5/20 + 99*k**4/16 + 19*k**3/4 - 51*k**2/4 + 499. Find i, given that p(i) = 0. -1, 0, 1, 2, 17 Let v be 28/84 - 5*(-2)/6. Factor -104*p - 7*p**3 + p**4 + 44*p**v + 64*p - 7*p**3. p*(p - 10)*(p - 2)**2 Let z(y) = 2*y**2 - 6*y - 8. Let d be z(5). Suppose -3 = 11*t - d*t. Suppose 12*v**2 + 131 - 131 + t*v**5 + 18*v**4 + 27*v**3 = 0. What is v? -4, -1, 0 Factor 34/7*d**2 - 158/7*d - 2/7*d**3 + 18. -2*(d - 9)*(d - 7)*(d - 1)/7 Let o(i) be the second derivative of 0*i**2 + 1/45*i**4 - 30 - 2/225*i**6 + 0*i**5 + 1/315*i**7 - 1/45*i**3 - i. Suppose o(y) = 0. Calculate y. -1, 0, 1 Let m(k) be the first derivative of k**3/2 - 2133*k**2 + 3033126*k + 4736. Factor m(d). 3*(d - 1422)**2/2 Let v(x) = -5*x**4 - 98*x**3 + 600*x**2 - 1289*x + 898. Let k(p) = -5*p**4 - 96*p**3 + 600*p**2 - 1288*p + 896. Let o(h) = -9*k(h) + 8*v(h). Factor o(s). 5*(s - 2)**3*(s + 22) Factor 50 + 2/9*s**2 - 452/9*s. 2*(s - 225)*(s - 1)/9 Let r(m) be the second derivative of m**8/672 + m**7/84 - m**6/240 - m**5/24 - 49*m**2/2 - 67*m. Let p(s) be the first derivative of r(s). Factor p(w). w**2*(w - 1)*(w + 1)*(w + 5)/2 Determine c, given that 4232/3 + 8/3*c**3 + 246*c**2 + 5704*c = 0. -46, -1/4 Factor -56/5*c**2 - 78*c - 612/5 + 2/5*c**3. 2*(c - 34)*(c + 3)**2/5 Let g = -301862 - -301862. Factor 0 + g*w**3 + 0*w + 7*w**4 - 4/7*w**2. w**2*(7*w - 2)*(7*w + 2)/7 Let r(m) = 692*m**3 + 2077*m**2 + 1408*m + 5. Let c(q) = -690*q**3 - 2070*q**2 - 1408*q - 4. Let v(a) = 3*c(a) + 4*r(a). Factor v(p). 2*(p + 1)*(p + 2)*(349*p + 2) Let k(n) be the second derivative of n**6/10 + 6*n**5/5 + 6*n**4 + 16*n**3 + 24*n**2 - 1164*n. What is u in k(u) = 0? -2 Let t(b) be the third derivative of b**6/240 - 13*b**5/60 + 27*b**4/16 + 42*b**3 + 3298*b**2. Find w such that t(w) = 0. -3, 8, 21 Let o(a) be the first derivative of 0*a - 18*a**2 + 1/6*a**3 + 26 - 1/120*a**6 - 1/8*a**4 + 1/20*a**5. Let l(m) be the second derivative of o(m). Factor l(g). -(g - 1)**3 Let n(d) be the first derivative of -16 - 5/18*d**3 - 5*d + 35/12*d**2. Factor n(s). -5*(s - 6)*(s - 1)/6 Determine o, given that -7*o**2 - o**2 + 228 - 8*o**2 + 33*o**2 + 4*o**2 - 411*o = 0. 4/7, 19 Determine p, given that 39/2*p + 124 + 1/2*p**2 = 0. -31, -8 Let u(p) = -p**3 - 23*p**2 - 2*p - 44. Let w be (-2 + 1)/(1/23). Let n be u(w). Factor 7*o**2 - 4*o**n + 7*o**2 - 2*o**2 - 4*o**3. -4*o**2*(o - 2) Let o(d) = 37*d**2 - 18*d - 4. Let i be -1*(-2 + 3 + (-30)/(-6)). Let n(a) = 13*a**2 - 6*a - 1. Let y(x) = i*o(x) + 17*n(x). What is g in y(g) = 0? -1, 7 Let t be (-60534)/2394 + 0 + 27. Let v = 0 - -2. Factor -20/7*a**v + t*a + 0. -4*a*(5*a - 3)/7 Solve 8620/7*j + 5/7*j**4 - 308 - 9147/7*j**2 + 2678/7*j**3 = 0. -539, 2/5, 1, 2 Let x(g) be the second derivative of -1/30*g**3 + 0*g**6 + 5*g + 1/50*g**5 + 0*g**2 + 12 - 1/210*g**7 + 0*g**4. Factor x(m). -m*(m - 1)**2*(m + 1)**2/5 Let i(o) be the third derivative of -o**8/112 + 3*o**7/5 - 79*o**6/40 - 21*o**5/10 + 10*o**4 - 720*o**2 - o - 1. Suppose i(t) = 0. Calculate t. -1, 0, 1, 2, 40 Let w(l) be the second derivative of l**7/126 - 16*l**6/9 + 2079*l**5/20 + 729*l**4/2 + 205*l - 2. Solve w(q) = 0. -2, 0, 81 Let p be (2 - (2 - -1)) + 3. Find c such that -1944 - 29393*c**3 + 1926*c**3 - 19980*c - 40258*c**3 + 17640*c**4 - 66930*c**p - 1029*c**5 = 0. -2/7, 9 Let v(c) = 6*c**3 - 1077*c**2 + 95034*c + 96117. Let x(a) = a**3 - 2*a**2 - 5*a - 2. Let t(h) = -v(h) + 3*x(h). Determine r so that t(r) = 0. -1, 179 Let r be 1172/(-29007) + ((-1)/5 - (-57)/135). Solve 20/11*d**2 + 0*d + 24/11*d**4 + r*d**5 + 42/11*d**3 + 0 = 0. -10, -1, 0 Let x(p) be the third derivative of -p**6/15 - 11*p**5/30 + 4*p**4/3 + 44*p**3/3 + p**2 - 3*p - 291. What is n in x(n) = 0? -11/4, -2, 2 Let u(p) be the second derivative of 3/80*p**6 + 5/4*p**4 + 2 + p**2 + 32*p - 7/20*p**5 - 2*p**3. Factor u(s). (s - 2)**3*(9*s - 2)/8 Let m be ((-120)/(-18))/((-5)/(-15)). Factor 1132*i + 45 - 1172*i - m*i**3 - 92*i**2 - 13. -4*(i + 1)*(i + 4)*(5*i - 2) Let u = -6/98593 + 197240/887337. Let n be ((-6)/(-8))/(27/8). Solve -u*r**2 - n*r**3 + 2/9*r + 2/9 = 0 for r. -1, 1 Let b(p) = 4*p**2 - 5*p + 5. Let f be b(1). Let u = -4 + 15. Suppose -12*g**f + 8*g**2 + 29*g**3 + 2*g**3 - u*g**3 = 0. What is g? -1/3, 0, 2 Let m = -2969 + 32679/11. Let v(q) be the first derivative of -12/11*q**3 - 2/55*q**5 - m*q**2 + 39 - 16/11*q - 7/22*q**4. Suppose v(o) = 0. What is o? -2, -1 Suppose 0 = -4*x - 16, -3 = -y + 4*x + 15. Determine i, given that -2*i**5 - 63*i**2 - 21*i**4 - 72*i - 19*i**2 - 8*i**3 + i**4 - 66*i**3 - 38*i**y = 0. -3, -2, 0 Let t be ((-96)/(-112))/(8/(-28)). Let a be 4/t*(-6)/16. Find m, given that 0*m - a*m**4 - 1/4*m**3 + 0 + 1/2*m**2 + 1/4*m**5 = 0. -1, 0, 1, 2 Suppose -14*h + 19*h - 4*n = 39, 5*n = 5*h - 35. Let c(v) = -v**2 + 17*v - 63. Let t be c(h). Factor -4 + 7/4*r**2 - 1/4*r**t - 2*r. -(r - 4)**2*(r + 1)/4 Let a(r) be the second derivative of r**7/168 - 41*r**6/30 + 9073*r**5/80 - 29187*r**4/8 + 26973*r**3/2 - 19683*r**2 + 2434*r. Factor a(d). (d - 54)**3*(d - 1)**2/4 Let s(u) be the third derivative of -u**7/630 + 7*u**6/270 - 31*u**5/540 - 5*u**4/108 + 8*u**3/27 + u**2 + 46*u. Solve s(r) = 0 for r. -2/3, 1, 8 Let a(b) = -8*b - 8. Suppose y + 31 = -2*d - 2*y, d = -y - 13. Let k be a(d). Factor 7*m**2 - m**2 + 2*m**2 - 2 - k*m + 50*m. 2*(m - 1)*(4*m + 1) Let y(o) be the first derivative of o**7/2520 - o**6/360 + o**5/180 - 20*o**3/3 + o - 29. Let h(x) be the third derivative of y(x). Factor h(t). t*(t - 2)*(t - 1)/3 Let y = 16032/56105 + -2/56105. Solve -y*a**2 + 15/7*a - 1/7*a**3 + 36/7 = 0 for a. -3, 4 Let d = 3711 + -3685. Let g(u) be the first derivative of 1/11*u**2 + 0*u + d - 2/33*u**3. What is l in g(l) = 0? 0, 1 Let a(k) be the first derivative of 0*k**2 + 2/35*k**5 + 181 - 2/21*k**3 + 5/42*k**6 - 5/28*k**4 + 0*k. Let a(u) = 0. Calculate u. -1, -2/5, 0, 1 Let l(v) = v**3 - 19*v**2 - 252*v + 42. Let f be l(28). Let u be (2/f)/((-8)/(-24)). Factor u*t**2 + 16/7*t + 64/7. (t + 8)**2/7 Let a(r) be the third derivative of -r**6/1200 + r**5/300 - 8*r**2 + 13. Determine z so that a(z) = 0. 0, 2 Let a = 10480 - 10452. Let r(l) be the first derivative of -5*l**2 - a - l**5 + 0*l + 25/3*l**3 + 5/6*l**6 - 15/4*l**4. Factor r(h). 5*h*(h - 1)**3*(h + 2) Let b(y) be the third derivative of -y**6/6 + y**5/2 - 35*y**4/24 - y**2 + 70*y. Let q(m) = -m**3 + m**2 - m. Let o(f) = -b(f) + 25*q(f). Factor o(c). -5*c*(c - 1)*(c + 2) Let j(x) be the third derivative of 0*x - 1/180*x**5 - 93*x**2 + 0*x**3 + 0 + 1/144*x**4 + 1/720*x**6. Find a, given that j(a) = 0. 0, 1 Let a(y) be the first derivative of -97/9*y**3 - 1/15*y**5 - 48*y + 36 - 11/6*y**4 + 44*y**2. Factor a(f). -(f - 1)**2*(f + 12)**2/3 Suppose -4*o - 3*r - 3 = -9*o, 5*o - 5*r + 5 = 0. Let w = -2/55087 - -1267007/165261. Factor -4/3 - w*b**2 - 20/3*b - 7/3*b**o. -(b + 1)*(b + 2)*(7*b + 2)/3 Let o(n) = 29*n**2 - 802*n - 316. Let z(f) =
{ "pile_set_name": "DM Mathematics" }
late h*z(c) - 6*v(c). c Let v(y) = 2*y + 7*y**2 + 5 - 2*y - 2*y - 4*y. Let c(j) = 20*j**2 - 17*j + 14. Determine 6*c(k) - 17*v(k). k**2 - 1 Let q(j) = -2*j**2 - 5*j - 3. Let s(v) = -2*v**2 + 56*v - 62*v + 2 - 6. Determine -6*q(z) + 5*s(z). 2*z**2 - 2 Let o(r) = -r + 1. Suppose 3*g = -4*i + 11, 30 = 5*g - 8*i + 3*i. Let z(m) = -6*m + 2. What is g*o(q) - z(q)? q + 3 Let d(j) = -2*j**3 + j - 6. Let x(s) = -3*s**3 + s - 7. Determine -5*d(v) + 4*x(v). -2*v**3 - v + 2 Suppose 0 = 4*o + 64 - 56. Let m(g) = 2*g**2 + 2*g + 5. Let k(j) = j**2 + j + 4. Determine o*m(n) + 3*k(n). -n**2 - n + 2 Let o(j) = j - 1. Let q(b) = 7. What is 4*o(u) + q(u)? 4*u + 3 Let v(z) = z**2. Let h(j) = 12*j**2 - 3. Calculate h(d) - 2*v(d). 10*d**2 - 3 Let i(b) = -17*b + 19. Let v(k) = -8*k + 9. What is -4*i(q) + 9*v(q)? -4*q + 5 Let j(x) = 2 + x + 5*x - 12*x. Let q(a) = a. Calculate j(t) + 4*q(t). -2*t + 2 Let l(s) be the first derivative of s**4/4 - s**3 - 37. Let r(p) = p**3 - 2*p**2. What is 5*l(o) - 7*r(o)? -2*o**3 - o**2 Let a(r) = -19. Let k(z) = -z**2 - z + 75. What is -9*a(l) - 2*k(l)? 2*l**2 + 2*l + 21 Let c(k) = 6*k**2 - 5*k + 7. Let q(r) = -2*r**3 - 3*r**2 - 2*r - 3. Let h be q(-2). Let v(y) = -5*y**2 + 4*y - 6. Give h*v(l) + 4*c(l). -l**2 - 2 Let g(y) be the first derivative of y**3/3 - y**2/2 + y - 6. Let t(j) = 7*j**2 - 3*j + 6. Give -6*g(c) + t(c). c**2 + 3*c Let t(c) = 1 + 0*c - 2 + c**2 - 3*c. Let q be ((-6)/4)/((-10)/((-360)/(-27))). Let m(z) = -6*z**2 + 16*z + 6. What is q*m(o) + 11*t(o)? -o**2 - o + 1 Let d(c) = 15*c**3 - 3*c**2 + 3. Let x(j) = -30*j**3 + 7*j**2 - 7. Determine -7*d(m) - 3*x(m). -15*m**3 Let b(x) be the first derivative of -7*x**2/2 - 6*x - 13. Let a(r) = 8*r + 7. What is 5*a(t) + 6*b(t)? -2*t - 1 Let f(i) = -i**3 + 34*i**2 - 34*i + 32. Let x be f(33). Let g(t) = 1. Let u(l) = 2*l**2 - 5. Determine x*g(a) - u(a). -2*a**2 + 4 Let p(j) = -2*j**2 + 4*j - 3. Let n = 57 + -58. Let z(v) = -v + 1. Calculate n*p(x) - 3*z(x). 2*x**2 - x Let a(u) = -9*u - 19. Suppose -5*y + 0 = -15. Suppose c - p = y*c - 7, 0 = 3*c - 4*p - 38. Let v(s) = 4*s + 9. Give c*a(t) + 13*v(t). -2*t + 3 Suppose -30 = -4*j - 2. Let v(g) = -7*g**2 - 9*g - 3. Suppose 2*u = 4*u - 10. Let z(r) = 0*r + 4*r**2 + 4 + 6*r**2 + 13*r. Give j*v(l) + u*z(l). l**2 + 2*l - 1 Let f(v) be the second derivative of -1/2*v**2 - 1/6*v**3 + 2*v - 1/12*v**4 + 0. Let y(w) = 3*w**2 + w. Give 2*f(l) + y(l). l**2 - l - 2 Let o(a) = 6*a**2 + 7. Suppose -56 = 3*z - 10*z. Let d(g) = 4*g**2 + 5. Give z*d(q) - 5*o(q). 2*q**2 + 5 Let s(u) = -u + 2. Let r(t) = t + 11. Let c(j) = 2*j + 17. Let w(o) = -5*c(o) + 8*r(o). Calculate -3*s(g) + 2*w(g). -g Let j(q) = 9*q + 1. Let a(x) = -17*x - 3. Determine 2*a(u) + 5*j(u). 11*u - 1 Let v(g) = 2*g + 6. Let y = -17 - -12. Let b(p) = -2*p - 5. Give y*v(f) - 6*b(f). 2*f Let x(z) = -z**2 + 1. Let i(t) = -7*t**2 - t + 4. Suppose 18 = 3*f - 0*f. Determine f*x(d) - i(d). d**2 + d + 2 Let o(b) = -17*b + 1. Let i(q) = -1. What is i(s) + o(s)? -17*s Let f(q) = -26*q**3 + 6*q**2 + 5. Let j(v) = -53*v**3 + 13*v**2 + 11. Determine 13*f(l) - 6*j(l). -20*l**3 - 1 Let a(f) = -39*f - 20 + 26*f + 4. Let y(g) = 9*g + 11. What is 5*a(c) + 7*y(c)? -2*c - 3 Let f(t) = t**3 - 2*t + 2. Let q(y) = -11 + 2*y**3 + 16*y - 5*y - 8*y**3. Let b = 17 - 28. Let x be -5 - -1 - (-2 - 0). Give b*f(z) + x*q(z). z**3 Let s(o) = 1785*o + 140. Let y(z) = 38*z + 3. Give 3*s(b) - 140*y(b). 35*b Let j(n) = -2*n**3 + 4*n**2 - 2*n. Let z(l) be the second derivative of 3*l**5/20 - 5*l**4/12 + l**3/2 - 20*l - 1. Calculate -5*j(x) - 4*z(x). -2*x**3 - 2*x Let t(v) be the first derivative of -2*v**2 + 2/3*v**3 + 5 + 0*v. Let a(k) = 6*k**2 - 13*k. Calculate 2*a(y) - 7*t(y). -2*y**2 + 2*y Let n(b) = -b - 1. Let q(p) = -p - 8. Determine -6*n(u) + q(u). 5*u - 2 Let g(h) = -7*h + 4. Let y(j) = -j. What is g(s) - 4*y(s)? -3*s + 4 Let t(j) = j**2 + 6*j + 2. Let n(f) = -f**2 + f - 1. Let y(s) = -2*n(s) + t(s). Let l(m) = 4*m**2 + 5*m + 5. Calculate -4*l(u) + 5*y(u). -u**2 Let y(d) be the first derivative of d**3/3 - 2*d**2 + 2*d + 28. Let b(q) = q**2 - 3*q + 2. Give 4*b(u) - 3*y(u). u**2 + 2 Let z(w) = -7*w**2 - 5*w. Let x(l) = -3*l**2 - 2*l. What is -5*x(d) + 2*z(d)? d**2 Let c(b) = 4*b - 1. Let a(n) = 7*n - 2. Give 3*a(g) - 7*c(g). -7*g + 1 Let b(x) = -x - 1. Let c(r) = -r**3 + 2*r**2 + r + 4. Let w be c(3). Let s(j) = -3*j + 2. Let o(u) = 4*u - 2. Let d(n) = -5*o(n) - 6*s(n). Give w*d(f) + 5*b(f). -f - 1 Let d(a) = -a**2 + 2*a + 5. Let g(i) = i - 1. What is -d(c) - 5*g(c)? c**2 - 7*c Let g(u) = 5*u + 4. Let n be 9 + -6 - 21/(-1). Suppose -k + 0*k = -4*h - 20, -k + 5*h + n = 0. Let p(i) = -i - 1. Determine k*p(s) + g(s). s Let q(t) = 3*t - 5. Let r(d) = 2*d - 3. Suppose -6*l = -8*l + 6. What is l*q(f) - 5*r(f)? -f Let t(a) = -2*a - 6. Let k(o) = o + 3. Calculate -13*k(z) - 6*t(z). -z - 3 Let j(b) = b**2 + 7*b. Let z(o) = 3*o**2 + 13*o. Calculate -5*j(h) + 2*z(h). h**2 - 9*h Let c(o) = -196*o + 1 + 196*o + o**2. Let v(w) = -4*w**2 - 2*w - 4. Calculate 3*c(k) + v(k). -k**2 - 2*k - 1 Let a be (4 - -2)*1/2. Let l(m) = m**a - 3*m**2 - m**2 - m**2 + 3*m**2. Let d(p) = -p**3 + p**2 - 1. What is -2*d(b) - l(b)? b**3 + 2 Let n(m) = -5*m + 89. Let g(u) = 2*u - 45. Calculate 9*g(k) + 4*n(k). -2*k - 49 Let q(b) = 6*b + 2. Let j(c) = -c. Let o(n) = -21*j(n) - 3*q(n). Let l(r) = -2*r + 4. Determine 7*l(f) + 5*o(f). f - 2 Let o(n) = n**3 - n**2 + n. Let i(h) = 44*h**3 - 8*h**2 + 10*h. What is i(b) - 10*o(b)? 34*b**3 + 2*b**2 Let i be 12/5 + (-2)/5. Let u(d) = 6*d**3 + 4 - 4 + 1592*d**2 - 1576*d**2. Let y(j) = -j**3 - 3*j**2. What is i*u(p) + 11*y(p)? p**3 - p**2 Let p be (3 + -4)/1 + 8*-1. Let l(d) = -2*d - 9. Let g(k) be the second derivative of k**3/6 + 2*k**2 + 2*k. Determine p*g(b) - 4*l(b). -b Let w(a) = 5 - 8*a - 2*a**3 - 3*a**3 + 6 - 11*a**2. Let k(d) = 2*d**3 + 4*d**2 + 3*d - 4. Calculate -8*k(b) - 3*w(b). -b**3 + b**2 - 1 Let s(m) = -m + 43. Let b(p) = -p + 65. What is -5*b(d) + 8*s(d)? -3*d + 19 Let v(f) = 2*f**3 + 4*f**2 + 5*f. Let p(q) be the second derivative of -q**5/10 - q**4/4 - 2*q**3/3 - 17*q. Determine -6*p(a) - 5*v(a). 2*a**3 - 2*a**2 - a Let c(n) = -n**2 + n. Let k(x) = 27*x**2 - 24*x. Determine 72*c(i) + 3*k(i). 9*i**2 Let w = -34 - -40. Let a = 4 + 1. Let p(b) = b. Let y(g) = -g. Let m(c) = a*p(c) + 6*y(c). Let t(v) = -7*v - 1. Determine w*m(o) - t(o). o + 1 Let z(s) = 16*s**3 + 7*s**2 + 3*s + 6. Let y(u) = -5*u**3 - 2*u**2 - u - 2. Determine -7*y(m) - 2*z(m). 3*m**3 + m + 2 Let l(m) = -3*m - 2. Let x(u) = -10*u - 6. Let d = -12 - -28. What is d*l(j) - 5*x(j)? 2*j - 2 Let u(d) = 2*d**2 + 3*d. Suppose -i = -4*s + 9, 3*i + 10 - 5 = s. Let v(z) = 2*z + z - 2*z. Give i*u(r) + 2*v(r). -2*r**2 - r Let v(p) = -132*p**2 - 5*p + 5. Let h(d) = -66*d**2 - 3*d + 3. Calculate -5*h(a) + 3*v(a). -66*a**2 Let x(m) = m**3 - 12*m**2 - 4. Let s be (-9)/45 + (-122)/(-10). Let o be x(s). Let k(g) = g**2 + 4. Let p(d) = 1 + 3 + 1 + d**2. What is o*p(b) + 5*k(b)? b**2 Let z(v) = 4*v**2 - 3. Let s(r) = -5*r**2 - r + 4. Let n(o) = o**3 + 8*o**2 - 2. Let g be n(-8). What is g*s(l) - 3*z(l)? -2*l**2 + 2*l + 1 Let z(f) = -f**3 - 7*f**2 - 4*f - 3. Let i be z(-6). Let y be (-4)/(-10) - 84/i. Let d(t) = 7*t**2 - 8*t + 6. Let k(x) = -x**2 + x - 1. Calculate y*k(c) + d(c). c**2 - 2*c Suppose 0 = -2*u + 3*i - 5, 0 = -5*u - 3*i - 22 + 62. Let z(m) = -5*m + 6. Let q(w) = 3*w - 4. What is u*z(h) + 8*q(h)? -h - 2 Let c(b) = -3*b**2. Let d(v) = 7*v**2 + v + 1. Give 5*c(p) + 2*d(p). -p**2 + 2*p + 2 Suppose -3*j = -3 - 12. Suppose j*h - 8 - 32 = 0. Suppose 4*z = 8*z + h. Let k(p) = 4*p. Let a(r) = 21*r. Calculate z*a(y) + 11*k(y). 2*y Suppose -13 = -2*i - y - 2*y, 2*i - 5*y - 5 = 0. Let r(v) = 5*v**3 + 2*v**2 + 4*v. Let b(o) = 4*o**3 - o**2 + 18 + 3*o**2 - 18 + 3*o. Calculate i*r(t) - 6*b(t). t**3 - 2*t**2 + 2*t Let x(h) = 2*h - 12. Suppose 2*g + 32 = -g - 2*s, 5*s = 4*g + 58. Let o(p) = 2. Calculate g*o(d) - 2*x(d). -4*d Let f(v) = -2*v**2. Let d be (3 - -1) + -1 + -1. Suppose -d*w - 26 = 6. Let z(q) = 6*q**2. Give w*f(a) - 5*z(a). 2*a**2 Let g(u) = 2*u + 1. Let r(s) be the third derivative of -s**4/8 - s**3/3 - 5*s**2. What is 5*g(b) + 4*r(b)? -2*b - 3 Let g(z) = -4*z**3 - 2*z**2 - z. Let l(n) = 7*n**3 + 4*n**2 + 2*n. Give -11*g(k) - 6*l(k). 2*k**
{ "pile_set_name": "DM Mathematics" }
Let k be c(-12). Let g(n) = 7*n**2 + 3*n + 4. Let t(z) = 9*z**2 + z + 3. Let a(d) = -4*g(d) + 3*t(d). Give a(k). 7 Let s(w) = w**3 - 74*w**2 + 66*w + 517. Let z be s(73). Let h(q) = q**2 - 2. Give h(z). 34 Let u(m) = m**3 + 40*m**2 - 42*m - 52. Let g = -19536 + 19495. What is u(g)? -11 Let o(p) = p**3 + p**2 - 23*p + 21. Let w be o(1). Let s(x) = x + 6. Determine s(w). 6 Let d(u) = 4*u + 47. Let n be d(23). Suppose -k + n = 42. Let t(i) = 61*i - k*i + 58*i. Give t(1). 22 Let w(q) = q**2 - 24*q - 80. Suppose -3*y = 3*x - 69, -3*y = 65 - 53. Give w(x). 1 Let v(n) = n + 12. Let c be -38 + (-8 - -11) - (0 + -4 - 3). What is v(c)? -16 Let s(w) = -w**3 + 9*w**2 - 7*w - 1. Let y be ((-56)/77)/((-9)/99). Give s(y). 7 Let f(a) = a + 10. Suppose -19*i = -21*i + 4. Suppose -i + 101 = -9*y. Calculate f(y). -1 Suppose j - 6*j = -140. Suppose 4*a - j = -2*h, 2*h - 7*h + 10 = -2*a. Suppose 4*c + k = 3, 4*c + a - 13 = 4*k. Let m(i) = 9*i + 1. What is m(c)? 10 Let i(s) = -2*s**3 + 6*s**2 - 14*s. Let r(v) = -v**3 + 7*v**2 - 13*v - 1. Let c(x) = 2*i(x) - 3*r(x). Let a = -12 + 2. Give c(a). -7 Let d(z) = 39*z - 5. Let n = 15131 + -15130. Calculate d(n). 34 Let r = -16 - -17. Let h be r - (3 + (-16)/4). Let p(c) = -c. Let b(f) = 11*f - 3. Let t(o) = -b(o) - 6*p(o). Determine t(h). -7 Let o(q) be the second derivative of 2 + 1/12*q**4 + 3/2*q**3 + 14*q - 5*q**2. What is o(-10)? 0 Let a(i) = i + 2. Let d be 576/80 + 4/5. Suppose -3*o = -d*o - 10. Let c(m) = -5*m**2 - 7*m - 4. Let p be c(o). Determine a(p). -8 Let l(v) be the second derivative of v**3/6 + 3*v**2/2 + 367*v. Let p be 10/(-4)*(-14)/35. Suppose p - 19 = -6*i. Give l(i). 6 Let w(d) be the second derivative of -d**4/12 + d**3/6 + 13*d**2/2 - 4322*d. Calculate w(3). 7 Let t(q) be the first derivative of -q**4/4 + 3*q - 1. Suppose 3*s = 3*m, -15*s = -11*s - 8*s + m. Calculate t(s). 3 Let k be (2/(-6))/((-7)/21). Let f(g) = -k - 11 + g - 5 + 23. Determine f(-10). -4 Let m(x) = -3*x**2 - 7*x - 9. Let b(h) = -4*h**2 - 6*h - 8. Let p(v) = 4*b(v) - 5*m(v). Suppose -2222*k + 2271*k = 490. What is p(k)? 23 Let x(j) = j + 6. Let r(v) = v**3 + 28*v**2 - 4*v - 107. Let p be r(-28). Suppose 25 = -p*t - 10. Calculate x(t). -1 Let t be -9 + (126 + -127)/(2/(-20)). Let l(a) = -8*a**2 + a + 1. What is l(t)? -6 Suppose 7*m - p = 57, 5*p + 0 = -4*m + 27. Let j(k) = -35*k + 281. What is j(m)? 1 Let s(g) = g + 689. Let u(p) = -111. Let d(j) = -s(j) - 6*u(j). Calculate d(-11). -12 Let g be 1 + 24/8 + 7. Suppose i + i = 3*v, 0 = -v - 3*i + g. Let u(b) = -b**2 + 2*b + 1. Calculate u(v). 1 Let f(n) be the second derivative of -n**5/20 - n**4/6 + n**3/3 + n**2 + n. Suppose b = 3*h + 213, -3*b + 0*b = 2*h - 606. Let s = b + -202. What is f(s)? -10 Let a(t) = 17 - 243*t**2 - 113*t**2 + 361*t**2 - t. Give a(5). 137 Let r(i) = -i**2 + 7*i - 6. Let v be ((-392)/(-84))/((-1)/(-30)). Suppose 16*f - v = -28. Determine r(f). -6 Suppose -g = 4 - 2. Let m = -2 - g. Let z(t) = -38*t**3 + t**2 + 26*t + 20. Let w(s) = 41*s**3 - s**2 - 28*s - 22. Let o(q) = 13*w(q) + 14*z(q). Determine o(m). -6 Let g(l) = 3*l - 10. Let z(k) = 5*k - 15. Suppose 10*u - 62 = -552. Let s be (-1 - u/14)/(1/2). Let w(p) = s*z(p) - 8*g(p). What is w(0)? 5 Let d(q) = -3*q**2 - 8*q - 5. Suppose -5*r = -5*w - 90, 3*r + 3*w - 44 = w. Suppose 44 + 36 = -r*u. What is d(u)? -40 Let f(g) = -49 + 94 - 44. Let c(d) = d**2 - 6*d - 2. Let h(l) = c(l) - 3*f(l). Let u be 54/8 - 3/(-12). Give h(u). 2 Let x(l) = l**3 - 26*l**2 + 24*l + 23. Let y = -453 - -478. Determine x(y). -2 Let h be (-11 + 13)/(4/10) - 1. Let k(c) = 2 + 4 - 8 + h + c. What is k(1)? 3 Let g(y) be the second derivative of -y**2/2 + 7*y. Let t(d) be the third derivative of d**4/12 - 5*d**3/6 - 7*d**2. Let c(f) = -4*g(f) + t(f). Give c(-4). -9 Let n(v) be the first derivative of -v**2 + v**2 + 132 - v**2 + 11*v + 8*v + 0*v. Give n(7). 5 Let v(o) = -o - 12. Suppose -2*x + 5*b = -5, -3*x = 2*x + 3*b + 3. Suppose 4*s - 12 = x, -3*l - 5*s + 5 = 8. Determine v(l). -6 Let z(o) = -o**2 - 7*o - 6. Let k = 185 + -123. Suppose k*x + 45 = 53*x. Give z(x). 4 Let n(f) be the second derivative of -f**5/20 + 5*f**4/12 - f**3/2 + 6*f**2 - 559*f. What is n(5)? -3 Suppose 72*r - 12 = 71*r. Let u be (3/r)/((-8)/(-32)). Let m(q) = -1. Let p(x) = -2*x**2 + 4. Let j(w) = -3*m(w) - p(w). What is j(u)? 1 Let d(z) = 27*z**3 - 37*z**2 + 40*z - 4. Let l(b) = -11*b**3 + 20*b**2 - 21*b. Let n(w) = -2*d(w) - 5*l(w). Give n(25). 8 Suppose -40 = 5*a + 5*y, -144 + 154 = -2*a - 5*y. Let f(z) = z**3 + 9*z**2 - 11*z - 4. Give f(a). 6 Let c(b) = b + 115. Let h(x) = -36*x - 690. Let o(q) = -6*c(q) - h(q). Suppose v = -v + 2. Give o(v). 30 Let z(s) be the first derivative of -3*s**2 - 134 - 1/3*s**3 + 0*s. What is z(-4)? 8 Let w(s) be the third derivative of s**6/120 + 7*s**5/30 + 5*s**4/12 - 8*s**3/3 + 28*s**2 + 24*s. Determine w(-13). 23 Suppose 3*y + 22 = 52. Let x(t) = -53*t + 23*t + 31*t + 7. What is x(y)? 17 Let r = 984 + -980. Let w(n) be the third derivative of 0*n**3 + 12*n**2 + 0 - 1/24*n**r + 0*n. What is w(5)? -5 Let d(f) = -7*f**3 - 5*f - 5. Let y(v) = 0 - 1 - 2*v + 10*v - v**3 - 9*v. Let n(b) = d(b) - 6*y(b). Suppose 8*s - 3*s = 5*r + 10, 3 = -2*r + s. What is n(r)? 1 Let y(w) = -8357 + 3*w - 8367 + 16735. Calculate y(-5). -4 Let k(i) = -22*i**3 + 26*i**2 - 23*i - 103. Let f(x) = 3*x**3 - x**2 + 4*x + 1. Let d(v) = -7*f(v) - k(v). Calculate d(19). 1 Let c(i) = -20*i + 53. Let w(k) = -384*k + 1011. Let v(q) = 39*c(q) - 2*w(q). What is v(3)? 9 Let f be (-3)/(-6) + (-5)/(50/(-5035)). Let n = 513 - f. Let i(x) = -x**2 + 6*x + 7. Determine i(n). -20 Let p(k) = -4*k + k + 1 - k**2 - k. Suppose -21 = 159*s - 156*s. What is p(s)? -20 Let v be 4/((-28)/(-91)) - (41 - 16). Let x(b) = b**3 + 13*b**2 + 6*b - 75. What is x(v)? -3 Let n(z) = -5*z**2 + 47*z + 3. Let w(b) = 2*b**2 - 26*b - 2. Let x(s) = -3*n(s) - 7*w(s). Give x(-41). 5 Let f(r) = -1518*r**2 + 6*r - 7*r + 764*r**2 + 753*r**2 - 1. Calculate f(2). -7 Let u be (-684)/117 - 2/(-39)*-3. Let w be 2 - (2/(-1) + 2 - u). Let z(y) = y + 2. Let s(p) = -2*p - 4. Let v(q) = 2*s(q) + 5*z(q). Give v(w). -2 Let h(m) be the third derivative of -3*m**5/40 + m**4/4 + 175*m**3/6 - 58*m**2. Let j(t) be the first derivative of h(t). What is j(5)? -39 Let l = 18 - 8. Let t(i) = 11*i**2 - 88*i + 92. Let y(m) = 5*m**2 - 40*m + 41. Let f(v) = -9*t(v) + 20*y(v). What is f(l)? 12 Suppose -21*o + 24*o + 75 = 0. Let x be ((-2)/5)/2 + (-55)/o. Let m(d) = 7*d - 5*d + 3*d - 1 + x*d - 2*d**2. Determine m(5). -16 Let r(p) = 287*p**2 - 278*p - 286*p**2 + 276*p - 5. Calculate r(8). 43 Suppose 0 = -23*u + 30 + 108. Let s(n) = 4*n - n - 2735 - u*n**2 + 2732 + n**3 - n. What is s(6)? 9 Let l be 0 - (-14 + 2 + -4). Let b = -20 + l. Let w(h) be the second derivative of -h**5/20 - h**4/3 - h**3/2 - 5*h**2/2 + 3*h - 13. Give w(b). 7 Let f(u) = 7*u**3 - 2*u - 1. Suppose -8*w = -5*w + w. Suppose -c + l = w, -c - 4*l + 18 = 4*c. Let s = c - 3. Give f(s). -6 Let y(g) = 2*g - g - 4 - 8*g + g + 5*g. Determine y(2). -6 Let l(r) = -3*r**2 + 6 + 21 - r**3 - r**2 + 11 - 68. Determine l(-6). 42 Suppose -4*x - 33 = -k, 33*x - 5*k + 60 = 28*x. Let z(c) = -c - 3. What is z(x)? 4 Let k = -88 + 95. Let v(i) = 6*i + 6. Let a(h) = 5*h + 5. Let q(o) = -7*a(o) + 6*v(o). Let z(s) = 3*s - 6. Let l(f) = 2*q(f) - z(f). Determine l(k). 1 Let n(v) be the second derivative of v**5/60 - v**4/12 - 67*v**2/2 - 39*v - 2. Let m(r) be the first derivative of n(r). Determine m(2). 0 Let s(q) = -q**3 - 7*q**2 - q - 4. Let c = -80 - -80. Suppose 5*d - 15 = c, -3*d = -2*j - j - 30. What is s(j)? 3 Let p(x) = -6*x**2 + 4*x**3 - 3*x**3 + 0 - x**2 + 1. Let g be p(7). Let l(u) = 13*u**2 + 27*u**2 - u - 41*u**2 + 23*u**2. Determine l(g). 21 Suppose 2*v + 432 = -6*v. Let d = 55 + v. Let a = d - 2. Let s(w) = -6*w**2. Calculate s(a). -6 Let u(n) = 8*n + 121. Suppose 0 = p + 3*z - 33 + 59, 184 = -12*p - 4*z. Determine u(p). 9 Let b(g) = -7*g - 25. Suppose -5*a + w = 39, 0 = -73*a + 76*a - 4*w + 20. Calculate b(a). 31 Let k be 42/2 + 612/(-51). Let l(p) = p**2 - 6*p - 1. Give l(k). 26 Let a(w) = -w**2 - w - 1. Let u(b) = -b**3 + 4*b**2 + 3*b + 5. Let f(o) = a(o) + u(o). Let i(t) = -t**2 - 10*t - 20. Let v be i(-4). Determine f(v). -4 Let v(c) = -c**3 + 9*c**2 - 9*c - 4. Let z
{ "pile_set_name": "DM Mathematics" }
e the second derivative of -31*m**3/6 + 13*m. Let u(b) = 2*b. Calculate r(u(l)). -62*l Let b(o) = 3*o**2. Let x be (3 - (2 + -3)) + 0. Let p(s) = -x*s + 4*s - 2*s + s. Determine b(p(g)). 3*g**2 Let x(k) = -353*k**2. Let p(m) = 2*m. What is x(p(d))? -1412*d**2 Suppose 4 = 2*i - 0*i. Let o(l) = 2*l**i + 2*l**2 + 2*l**2 - 5*l**2. Let a(x) = 4*x**2. Determine a(o(f)). 4*f**4 Let j(c) = -2*c. Let x(i) be the third derivative of i**5/12 + 9*i**2. Determine x(j(w)). 20*w**2 Let z(f) = 3*f**2 - 3. Let k(q) = 13*q**2. Give k(z(j)). 117*j**4 - 234*j**2 + 117 Let s(q) = -q**2. Let g(i) = 8*i + 4. Let u(y) = -9*y - 5. Suppose -15 = 2*h + h. Let l(w) = h*g(w) - 4*u(w). Give l(s(n)). 4*n**2 Let p(i) = -23*i. Let r(d) be the first derivative of -d**2 - 13. What is p(r(l))? 46*l Let m(b) = -4*b. Let q(a) be the third derivative of -a**5/20 - 3*a**2. What is q(m(f))? -48*f**2 Let i(t) = 3*t. Let c(j) = 360*j. Give c(i(m)). 1080*m Let h(s) = 119*s**2. Let r(m) = -m. Give h(r(t)). 119*t**2 Let k(m) = -2*m. Let g(h) = -27*h**2 + 6 - 6. Give k(g(a)). 54*a**2 Let o(n) = -6*n + 5. Let y(x) = -9*x + 7. Let d(a) = -7*o(a) + 5*y(a). Let p(b) = 5*b - 3*b + 0*b + b. What is d(p(r))? -9*r Let s(z) = -908 + 908 + 0*z**2 - 2*z**2. Let o(b) = 5*b**2 + 6*b. Let k(l) = -4*l**2 - 5*l. Let g(v) = 6*k(v) + 5*o(v). What is s(g(w))? -2*w**4 Let z(s) = -627*s + 17. Let x(y) = 2*y**2. Determine z(x(p)). -1254*p**2 + 17 Let g(h) = 125*h - 42*h - 42*h - 39*h. Let w(a) = 5*a + 3. Calculate g(w(z)). 10*z + 6 Let a(u) be the second derivative of -5*u**4/4 + 2*u. Let j(z) = -3*z**2 - 4*z. Let m(b) = -4*b**2 - 5*b. Let w(t) = 5*j(t) - 4*m(t). Give a(w(i)). -15*i**4 Let g(o) be the third derivative of -o**4/8 - 8*o**2. Let u(m) = -3*m**2. Determine u(g(q)). -27*q**2 Let f(r) = 3*r - 3*r - r. Let o(k) = 4*k + 5. Let w(l) = 20*l + 24. Let h(t) = -24*o(t) + 5*w(t). Calculate f(h(y)). -4*y Let d(h) = -2*h**2. Let m be (-16)/(-56)*7/24. Let l(s) be the second derivative of -s + 0 + 0*s**3 + 0*s**2 - m*s**4. Determine l(d(p)). -4*p**4 Let y(w) = 11*w**2. Let z(b) = 39*b. Determine z(y(d)). 429*d**2 Let p(c) = -1 + c - 4 - 2*c. Let u be p(-7). Let d(r) = u + r**2 + 1 - 3. Let k(y) = -y. Determine d(k(z)). z**2 Suppose 6*v = -v + 49. Let s(g) = 2*g + v*g - 7*g. Let o(w) = w**2. Calculate o(s(k)). 4*k**2 Let o(h) = -h. Suppose -8*c = -3*c. Let b(r) be the third derivative of 0*r**3 + 0 - 1/20*r**5 - r**2 + 0*r + c*r**4. Calculate o(b(d)). 3*d**2 Let n(r) be the third derivative of r**5/60 - 2*r**2. Let o(u) be the second derivative of -u**3/3 + 7*u. Calculate n(o(m)). 4*m**2 Let r(x) = x**2. Let f(h) = 4*h + 3. Let i(a) = 8*a + 8. Let d(y) = 7*y + 7. Let p(g) = 7*d(g) - 6*i(g). Let b(w) = f(w) - 3*p(w). Determine b(r(n)). n**2 Let k(g) = -3*g**2 - 1 + 1. Suppose -7 - 3 = -5*o. Let a(j) = 3*j**2 - 4*j**2 + 2*j**2 - o*j**2. Determine a(k(i)). -9*i**4 Let y(h) = 13*h**2. Let b(o) be the third derivative of -o**4/24 + 32*o**2. Determine b(y(n)). -13*n**2 Let a(l) = -2*l. Let y(q) be the second derivative of q**7/840 + q**4/2 - 3*q. Let s(o) be the third derivative of y(o). What is s(a(c))? 12*c**2 Let l(p) = -7*p**2. Let y(x) = 4*x**2 - 2*x - 2. Suppose -4*a = -5*a + 2. Let q(g) = -g**2 + g + 1. Let n(b) = a*q(b) + y(b). What is l(n(w))? -28*w**4 Let l(p) = -4*p. Let k(b) = -b + 2. Let o(a) = -3. Let n(j) = j**3 - 10*j**2 - 11*j + 3. Let c be n(11). Let s(g) = c*k(g) + 2*o(g). Give l(s(r)). 12*r Let p(s) = 1. Let z(g) = -g**2 - 5. Let k(b) = -5*p(b) - z(b). Let n(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 3*r + 1/12*r**4. Give n(k(t)). t**4 Let s(v) be the third derivative of 8*v**2 + 0 + 0*v**3 + 0*v - 1/60*v**5 + 0*v**4. Let q(y) be the first derivative of -y**2/2 - 1. Give q(s(i)). i**2 Let s(p) = p - 3. Let o(t) = t - 4. Let k(n) = 3*o(n) - 4*s(n). Let v = 19 + -6. Let i(c) = -c + c + 9*c - v*c. Give k(i(r)). 4*r Let v(g) = g**2. Let i(z) = -5*z**2 - 5*z**2 + 6*z**2 - 5*z**2. Calculate i(v(b)). -9*b**4 Let y(n) = -n**2. Suppose -4*c + 43 - 11 = 2*h, -c = 3*h - 8. Let p(x) = c*x - 9*x + 0*x. Determine y(p(s)). -s**2 Let z(t) = -t + 5. Let a(r) = -1. Let h(x) = -5*a(x) - z(x). Let i(y) = -38*y. What is h(i(j))? -38*j Let m(w) be the third derivative of w**5/30 + 15*w**2. Let i(y) = -30*y**2. What is m(i(x))? 1800*x**4 Let m(p) = 6 - 1 - p**2 - 5. Let u(j) = -5*j**2 + 3*j. Let x(b) = 5*b**2 - 4*b. Let g(k) = 4*u(k) + 3*x(k). What is g(m(y))? -5*y**4 Let t(k) = 19187*k. Let h(a) = 3*a**2. Determine h(t(b)). 1104422907*b**2 Let b(m) = m**2 + 2*m + 2. Let u(j) = -j**2 - 3*j - 3. Let y(c) = 6*b(c) + 4*u(c). Let g(o) = 10*o + 9*o + 0*o. Give y(g(z)). 722*z**2 Let l(b) = b**2. Suppose 4*u = u + 6. Let h(z) = -z**u + z**2 + z**2. Calculate h(l(d)). d**4 Let f(d) = -d**2. Let r(m) = -4*m + 5. Let o(g) = -2*g + 2. Suppose 2*q = 7*q - 25. Let a(t) = q*o(t) - 2*r(t). Give f(a(w)). -4*w**2 Let q(f) = 3*f**2. Let t(j) be the second derivative of j**4/12 + j. Calculate q(t(d)). 3*d**4 Let q(a) = -20*a**2. Let z(i) = 0*i - 3*i - 4*i + 9*i. Determine q(z(v)). -80*v**2 Let o(z) = 2*z**2. Let k(t) = -25 + 17 - 5*t + 8. What is o(k(j))? 50*j**2 Let k(o) = o + 7. Let f(r) = -9*r. Give k(f(s)). -9*s + 7 Let h(l) be the third derivative of -l**5/30 - 4*l**2. Let f(v) = 4*v + 3 - v - 3 + 2. Let q(o) = -4*o - 3. Let j(u) = -3*f(u) - 2*q(u). Determine j(h(c)). 2*c**2 Let d(o) = -o**2 - 11*o + 3. Let g be d(-11). Let y(i) be the second derivative of 3*i + 0*i**2 + 0 - 1/6*i**g. Let c(k) = 3*k. Give y(c(z)). -3*z Let z(o) = -6*o. Let k(w) = 3*w - 20. Calculate k(z(m)). -18*m - 20 Let x(v) be the third derivative of v**4/12 - 25*v**3/6 + 18*v**2. Let i(d) = -d. Determine x(i(k)). -2*k - 25 Let u(a) = a**3 - 4*a**2 - 4*a + 5. Let d be u(5). Let q(v) = -2*v + 10. Let o(j) = 1. Let i(z) = d*o(z) - q(z). Let s(g) = 13*g**2. Determine i(s(x)). 26*x**2 Let z(w) = -3*w. Let c(x) = 10*x**2 + 761*x. What is c(z(t))? 90*t**2 - 2283*t Let j(o) = -2*o. Let f(i) be the third derivative of -i**8/10080 + i**5/30 + 2*i**2. Let c(t) be the third derivative of f(t). Give j(c(u)). 4*u**2 Let i(z) = -z. Let f(a) = 8859*a**2. Determine f(i(g)). 8859*g**2 Let y(t) = 2*t. Let o(m) be the first derivative of 2*m**3/3 - 1. Determine o(y(n)). 8*n**2 Let p(i) = -28*i. Let r(h) = -288*h**2. Determine p(r(d)). 8064*d**2 Let k(i) = -5*i + 0 + 4*i + 0. Let g(y) = 0 + 2*y**2 + 0. Calculate k(g(z)). -2*z**2 Let q(y) = 3*y**2. Suppose -a = -4*i - 2*a + 62, -4*i + 4*a + 72 = 0. Let h(o) = -i*o + 32*o - 15*o. Give h(q(v)). 3*v**2 Let s(h) be the first derivative of 53*h**3/3 - h - 23. Let t(r) = -2*r. Give t(s(z)). -106*z**2 + 2 Suppose -7*p + 12 = -3*p. Let j(k) = -4*k**2 + p*k**2 + 0*k**2. Let m(f) = 2*f**2. Determine m(j(g)). 2*g**4 Let n(b) be the second derivative of -b**4/2 + 6*b + 2. Let w(i) = -10*i**2. What is w(n(f))? -360*f**4 Let o(i) be the first derivative of i**2/2 - 8. Let l(q) be the third derivative of -q**5/30 - q**2. Calculate l(o(t)). -2*t**2 Let c(x) be the first derivative of 1/2*x**2 + 0*x - 1. Let k(r) = -13*r**2. Determine k(c(t)). -13*t**2 Let l(j) = -19*j**2 + 4. Let w(o) = 96*o**2 - 21. Let t(r) = -21*l(r) - 4*w(r). Let g(f) = -4*f. Calculate g(t(x)). -60*x**2 Let c(x) = 301*x + 2. Let l(b) = -b. Give c(l(i)). -301*i + 2 Let y(b) = -4 - 2*b + 4. Let q = 7 + -2. Let v(h) = -3*h + 0*h + 0*h + q*h. Determine y(v(i)). -4*i Suppose 4*k = 4*g + 24, k = -g - 0 - 2. Let h(l) = k*l - 3*l + 3*l. Let m(v) = 2*v. Determine h(m(c)). 4*c Let x(n) be the second derivative of -n**7/630 + n**4/4 + 3*n. Let c(k) be the third derivative of x(k). Let t(a) = 0*a - 2*a + 3*a. Determine t(c(r)). -4*r**2 Let b(n) = 364*n**2. Let g(u) = u. Determine g(b(p)). 364*p**2 Let o(t) = t + 150. Let g(k) = 2*k. Give o(g(d)). 2*d + 150 Let d(i) = -9*i + 10*i - 9*i. Let o(m) = 5*m**2. What is d(o(x))? -40*x**2 Let l(c) = -c. Let k(g) be the third derivative of g**4/2 - 32*g**2. Give k(l(t)). -12*t Let v(s) = 22*s - 7*s - 19*s - 16*s. Let d(a) = -a**2. Calculate d(v(p)). -400*p**2 Let q(u) = -21*u + 1. Let r(a) = a. Calculate r(q(y)). -21*y + 1 Let d(f) = -6*f - 9 + 9 + 14*f. Let c(r) = -2*r. Calculate c(d(j)). -16*j Let t(z) = -11*z + 2. Let f(m) = m. Give f(t(j)). -11*j + 2 Let i(n) = n**2. Let m(k) = 68*k**2 - 51*k. Let c(r) = r**2 - r. Let l(p) = -51*c(p)
{ "pile_set_name": "DM Mathematics" }
3*p + (3 - 3 - 2)*(4*p + p - 6*p) + (p - 2*p - p)*(-1 - 1 + 3) - 202*p + 222*p - 895*p. -870*p Expand ((4 - 5 - 2)*(1 + 0 + 0) + 62 + 92 + 7)*(-3*o - 2*o + 3*o). -316*o Expand (17*s - 9*s + 41*s)*(-2*s - 2*s + s) + 8*s**2 - 8*s**2 + s**2 + s. -146*s**2 + s Expand ((-2 - 1 + 4)*(3 + 0 - 1) + 0 - 6 + 3)*(50437 - 50437 + 74*f**3) + 3 - 4*f**3 - 3. -78*f**3 Expand 2 + 6*b**3 - 2 - b**3 + 6*b**3 + 6*b**3 + (2*b + b - 2*b)*(-2*b**2 + 0*b**2 + b**2) + 0*b**3 - 2*b**3 + b**3 + 0*b**3 + 5*b**3 + 7*b**3. 27*b**3 Expand (7*a**2 + 87 + 91 - 174 + (-2*a - 3*a + 4*a)*(5*a - 3*a - 4*a) + 2*a - a**2 - 2*a)*(3 - 2*a - 3 + (-2*a - a + 5*a)*(-2 - 1 + 5)). 16*a**3 + 8*a Expand r**2 + r**4 - r**2 + (-159*r + 159*r + 162*r**2)*(3*r**2 + 5*r**2 - 6*r**2). 325*r**4 Expand (57 - 9 - 6)*(22*r**3 + 14*r**3 - 35*r**3)*(-7*r + 2*r + 3*r). -84*r**4 Expand (2 - 3 - 1)*(14 - 2*c - 14)*(16*c + 32*c + 17*c + 5*c**4). 20*c**5 + 260*c**2 Expand (-2*w**2 - 3*w**2 + 4*w**2)*(5 - 2 + 1 + (3 - 1 + 0)*(-20 + 76 + 14)) + (2*w + 0 + 0)*(2*w + w - 4*w). -146*w**2 Expand (-16*h**3 - 14*h**3 + 29*h**3)*(1609*h**2 + 1630*h**2 - 3343*h**2). 104*h**5 Expand (857*d - 588*d + 460*d)*(2*d + 2*d**2 - 2*d). 1458*d**3 Expand (-20 + 77 + 22 + 60)*(-21*b - 20*b - 4*b). -6255*b Expand 58*u**5 - 296641*u - 56*u**5 + 299173*u + (u**3 + 3 - 3)*(-2*u**2 + 1 - 1) + u**2 - u**2 - 3*u**5. -3*u**5 + 2532*u Expand -2*i**4 - 19310*i**5 + 0*i**4 + 18707*i**5 + (2*i**4 + 0*i**4 - 4*i**4)*(-5*i + i + 3*i) - i**5 + 0*i**5 + 2*i**5. -600*i**5 - 2*i**4 Expand ((-3*v - 3*v + 7*v)*(3 + 4 - 5) - 10 - 122*v + 124*v + 5)*(5 - 3 - 9)*(0*v**3 - v**4 + 0*v**3). 28*v**5 - 35*v**4 Expand 0*p**3 + 4*p**3 - 2*p**3 + (228*p**2 + 964*p**2 + 328*p**2)*(2 + 1 + 5*p - 3*p)*(11 + 3 + 3). 51682*p**3 + 77520*p**2 Expand ((-5*t**3 + 4*t**3 + 3*t**3)*(-4*t - 5*t + 3*t) + 3*t**4 + 6*t**3 - 6*t**3 + t**4 + 7*t - 3*t**4 - 3*t)*(-2 + 5 - 4). 11*t**4 - 4*t Expand (-2*a + 0*a + a)*(-3*a + 1 - 1) + (3 - 4 + 2)*(3 - a**2 - 3) + 670*a**2 + 415*a - 392*a - 719*a**2. -47*a**2 + 23*a Expand (18*r - 22 - 11*r + 0 + r)*(7312 - 7312 + 20*r). 160*r**2 - 440*r Expand (2*l**2 - 6*l**2 + 2*l**2 + (-3*l + 3*l - 2*l)*(3*l - 2*l + 0*l) + 0*l**2 - l**2 + 0*l**2 + (1 - 1 + l)*(1 - 1 - l))*(248*l**2 - 129*l**2 + 137*l**2). -1536*l**4 Expand (-2 - 3 + 4)*(-u + 4*u - 4*u) + 1884*u + 1442 - 1442. 1885*u Expand -4*g**3 + 5 - 1 - 3 + (4*g**2 - 4*g**2 + 2*g**2 + (-3*g + 4*g + 0*g)*(-g + g + g))*(3 + 1 - 1)*(3*g - 2*g - 4*g). -31*g**3 + 1 Expand 21*c - 3*c + c + (1 + 1 - 4)*(0*c - 2*c + c) + 1 - 1 + 3*c - c - c + c + 0*c - 2*c + c. 22*c Expand -12*y**2 + 10*y**2 + 10*y**2 + 3*y**2 + y**2 - 2*y**2 - 2*y**2 + 6*y**2 - 2*y**2 + (-y - 2*y + 2*y)*(-3 - y + 3). 13*y**2 Expand (3 - 5 - 2)*(470*h - 326 + 326)*(-2 + 3 - 3)*(5 - 1 - 3). 3760*h Expand -294 + 44 + 2*k - 434 + (-5*k + 0*k + 3*k)*(1 - 2 - 3). 10*k - 684 Expand (-2*m + 1 - 1)*(-m + 0*m + 0*m) + (0*m + 2*m - 3*m)*(-15*m + 2*m - 3 - 21*m)*(-17 - 2 - 3)*(-4 + 2 + 1). 750*m**2 + 66*m Expand (80*o + 477*o + 89*o)*(o + o - 3*o)*(3 + 2 - 4) + 3*o**2 + 2*o**2 - 3*o**2. -644*o**2 Expand (7 - 7 + g + (0 - 1 - 1)*(-1 + 2*g + 1) + 2 - 2 - 2*g)*((-1 - 2 + 4)*(-41*g**2 - 79 + 79) + (-2*g + 4*g - g)*(-g + 4*g + 0*g)). 190*g**3 Expand (0 - 5 + 4)*(-w**3 - w**3 - w**3 + (0*w**2 + 3*w**2 - 4*w**2)*(-4*w + 4*w - w) + 4*w**3 - w**3 - 2*w**3 + 149*w**3 + 15*w**3 - 428*w**3). 265*w**3 Expand (2*f + 0 + 0)*((4 + 2 - 4)*(3 + 1 - 2) - 5 + 4 + 0 - 1954 + 402 - 1093). -5284*f Expand (d + d + 0*d)*(3*d + d - 2*d) - 2*d + 2*d + d**2 - 6*d**2 - 9*d**2 - 11*d**2 + (18*d - 18*d - d**2)*(1 + 4 - 4). -22*d**2 Expand 2 - 2*c**2 - 2 + (105*c - 69*c - 57*c - c + c + c + 0*c + 2*c - c + (c + 4*c - 3*c)*(-4 + 2 + 4) - 4*c + c + 2*c + 4*c + 0*c - 2*c)*(6*c - 2*c + 2*c). -86*c**2 Expand (-2*y - 2*y + 3*y)*((3*y + y - 6*y)*(-y - 2*y + y) - 818*y + 818*y + 31*y**2 - 4*y**2 + 2*y**2 + 0*y**2 - 23*y + 23*y - 4*y**2). -29*y**3 Expand (209*a + 317 - 317 + (1 - 3 + 0)*(-a + a - a) + 2*a + 2*a - 2*a)*(37*a**4 - 43*a**4 + 41*a**4). 7455*a**5 Expand (-17 - 10 + 8)*(524*l + 71*l**5 - 524*l + (-l**4 + 4*l**4 - 2*l**4)*(2*l - 2 + 2) - 4*l**5 - 4*l**2 + 4*l**2). -1311*l**5 Expand (4 - 8 - 5)*(-4*c**3 + 5*c**3 - 2*c**3) - 3*c**3 + 25*c**3 - 55*c**3. -24*c**3 Expand 0*k**3 + 0*k**3 + 4*k**5 + 4*k**2 - 5*k**2 - k**5 + 3*k**2 + (-9*k**3 + 16*k**3 - 9*k**3)*(-3*k**2 + 6*k**2 + 2*k**2) + (-1 + 0 - 1)*(4 - 4 - 2*k**5). -3*k**5 + 2*k**2 Expand (-t - 2*t + 4*t + (0 + 5 - 3)*(t - t - t) + 39*t - 264*t - 137*t)*(0 - 2 + 0)*(0 + 0 + 5). 3630*t Expand ((-2 + 4 + 2)*(-1 - 5 + 3) + (-1 + 1 - 2)*(3 + 0 - 4))*(88*j - 233*j + j). 1440*j Expand (0*h**3 + 0*h**3 - h**3)*(-235 + 235 - 558*h)*(3 - 3 - 1). -558*h**4 Expand (-3 - 2 + 3)*(-1 - 2 - 2)*(-5 + 1 + 3)*(r - 14 + 29 + 0*r)*(-3*r**2 + 3*r**2 - r**2). 10*r**3 + 150*r**2 Expand (18 - 18 + 6*r)*(-26 - 37 + 69 - 5*r). -30*r**2 + 36*r Expand (-8*g**2 + 3*g**2 + 3*g**2)*(-105*g**3 - 54*g**3 - 175*g**3). 668*g**5 Expand (-2*l + 3*l - 3*l)*(-l - 3*l + 3*l)*(-2998*l**3 + 483*l**3 - 2057*l**3). -9144*l**5 Expand (-2*i**2 + 2*i**2 - i**2)*(1294*i + 67*i**2 - 1294*i) + 3*i**4 - 2*i**4 + i**4 + (3*i**3 - 2*i**3 - 3*i**3)*(-5*i + i + 3*i). -63*i**4 Expand (16289*a**4 - 32172*a**4 + 20537*a**4)*(-3*a + 4*a - 3*a). -9308*a**5 Expand (0 + 0 - 2 + (-1 - 2 + 1)*(-3 + 2 + 3) + 1 + 1 - 3 - 25 + 2 - 6 - 5 + 1 + 0)*(-1 - 2 + 6)*(1 + 19*f**2 - 19*f**2 + 2*f**3). -240*f**3 - 120 Expand ((-1 + 0 + 3)*(0 - 4 + 3) + (2 - 3 + 0)*(1 - 3 + 3) - 1 + 1 - 1)*(-48*h - 51 + 103 - 53)*(-4*h + h + 10*h). 1344*h**2 + 28*h Expand (-7*p**3 + 6*p**3 + 6*p**3)*(95*p**2 - 45*p**2 - 125*p**2). -375*p**5 Expand (3 - 3 - v**5)*(-1778 - 635 - 3536 - 661). 6610*v**5 Expand 188*x**2 - 188*x**2 - 88*x**3 + (5*x**2 - 5*x**2 + 2*x**2)*(7*x + 2*x - 3*x). -76*x**3 Expand (0 + 0 - 2*f)*(-4*f**3 - f**3 + 3*f**3) - 136*f**4 + 52*f**4 + 59*f**4 + 5*f**4 + 2*f**3 - 2*f**4 - 3*f**3. -18*f**4 - f**3 Expand (-23*h**3 - 46*h**3 + 45*h**3 - 34*h**3 - 52*h**3)*(h - 4*h - 3*h). 660*h**4 Expand (-5 - 1 + 2)*(0 - 2 + 1)*((-3*c**3 + 1 - 1)*(-11*c**2 - 4*c**2 + 0*c**2) + c**5 + 5*c**5 - 2*c**5) + (2*c**4 + c**4 - 4*c**4)*(2 - c - 2). 197*c**5 Expand (-2 + 3 + 0)*(-3*l + 4*l + 0*l) + (1 - 4 + 1)*(-4269 + 4274 - 1192*l - 1092*l). 4569*l - 10 Expand (-7 + 4 - 7 - 13)*(66*w - 577*w + 34*w - 2*w**2). 46*w**2 + 10971*w Expand (-2*c**2 + 0*c**2 + 4*c**2 + (-c + 0*c + 2*c)*(5*c + c - 4*c))*((-c + 0*c + 0*c)*(-173 + 22*c + 173) - c**2 - 3*c + 3*c). -92*c**4 Expand (2134*l + 2825*l - 897*l)*(2*l + l - l). 8124*l**2 Expand (x**2 + 1 - 1)*(4*x**2 - 3*x**2 - 2*x**2) + 5*x**4 - 2*x**4 - 4*x**4 + 2*x**4 + 86*x**3 - 85*x**3 - 4*x**4 - 1695*x**3 - 2*x + 20 - 8*x**4 + 1695*x**3. -12*x**4 + x**3 - 2*x + 20 Expand (j + 0 + 0)*(-2*j + 2*j + 2*j**2 + (j + 3 - 3)*(j - j + 2*j) - 9*j**2 - 141 + 141) - j**3 - 2*j**2 + 2*j**2 + (-j - 5*j + 5*j)*(-3 + 3*j**2 + 3). -9*j**3 Expand ((-h - 2*h - 11*h)*(-2 - 2 - 1 + (-2 - 1 + 4)*(-3 + 4 - 2) - 1 - 2 + 4) + 0 + 0 - 3*h)*(-4 - 7 + 8 + (1 + 0 + 0)*(2 - 2 + 1)). -134*h Expand (5*r - 2*r - 5*r)*(621*r - 66*r - 4*r)*(-25 + 4*r + 25). -4408*r**3 Expand -43*n**2 - 30*n**2 + n - 3*n - n**2 + 8*n**2 + 4*n**2 - n**2 - 1 + 1 + (-2*n - 4 + 4)*(0*n + 2*n - 4*n) + n**2 + 0*n**2 - 3*n**2 + n**2 + n**2 + n**2. -58*n**2 - 2*n Expand (1129 - 316*z - 1129)*(0 + 0 - 9*z**2). 2844*z**3 Expand (3*q + 0*q - 5*q)*(-q**2 - 5*q**2 + q**2) - 3*q**3 + 2*q**3 + 0*q**3 + (-7*q**3 + 0*q**3 - q**3)*(-1 + 1 + 3) - q**3 - q**3 + 4*q**3. -13*q**3 Expand (13*r + 11 + 39*r**2 - 149 + 103 + 44)*(-1 + 2*r**2 + 1). 78*r**4 + 26*r**3 + 18*r**2 Expand 3*v**2 - v**2 + 0*v**2 + (3*v - v + 2*v)*(26 - 26 + 36*v) + (-2*v - v + 6*v)*(-4*v + 0*v - v). 131*v**2 Expand (0*j**2 - 2*j**2 + 5*j**2)*(891 - 372 + 227 + 3354 + 2488 + 2112). 26100*j**2 Expand (-1079*f - 9 + 539*f + 542*f)*(7*f**4 + 30*f**2 - 30*f**2). 14*f**5 - 63*f**4 Expand (2*q - 4 + 4)*(-129*q**2 + 890*q**2 + 2*q**3 + 4840*q**2). 4*q**4 + 11202*q**3 Expand (-1342 - 2143 - 984 - 1903)*(3*p - 7*p + 2*p). 12744*p Expand (48 + 51 - 30)*(1 + 2*s - 1 + (-4*s + 0*s + 2*s)*(1 - 2 - 1) + 3*s - 5*s - s + (0 + 4 - 5)*(0 + 1 + 0)*(4*s + 0*s - 2*s)). 69*s Expand (1 + 2*b - 1 - 4*b + b + 2*b + (-1 + 2 - 2)*(b + 0*b + b) - 5*b + 2*b + 2*b + 10*b + 170 - 170)*(73*b**4 - 64*b**2 + 64*b*
{ "pile_set_name": "DM Mathematics" }
ide 512383965? False Does 821 divide 437146376? True Is 1822476 a multiple of 348? True Is 178761057 a multiple of 1810? False Is 45 a factor of 194931967? False Is 648030285 a multiple of 4977? True Is 1323 a factor of 681146736? False Does 1418 divide 246785884? True Does 755 divide 1312455760? True Is 4654431327 a multiple of 159? True Is 28 a factor of 62813811? False Is 26192735 a multiple of 7? False Is 8 a factor of 18021640? True Is 7 a factor of 713796? False Does 678 divide 1784156891? False Is 22 a factor of 420562846? True Is 177226692 a multiple of 29? False Is 118 a factor of 92662096? True Does 6 divide 71307722? False Is 57 a factor of 65000406? True Is 221222275 a multiple of 17? True Is 68 a factor of 3258764? True Is 18875963 a multiple of 1192? False Does 138 divide 10021698? True Does 247 divide 48234276? False Is 33620418 a multiple of 18? True Is 16 a factor of 124925568? True Does 1367 divide 102279235? False Is 302885478 a multiple of 2331? True Does 39 divide 14609712? True Is 852 a factor of 36662084? False Does 247 divide 12846223? True Is 415290560 a multiple of 40? True Is 53469726 a multiple of 2193? True Is 25507951 a multiple of 34? False Is 8 a factor of 170891883? False Does 79 divide 46541953? False Is 12 a factor of 557127350? False Is 62 a factor of 39518304? True Is 10 a factor of 154607400? True Does 4 divide 1381099? False Is 73474860 a multiple of 1695? True Is 32 a factor of 176632896? True Is 1760741436 a multiple of 199? False Does 14 divide 55595209? False Is 960 a factor of 223449544? False Is 144 a factor of 1946928528? True Is 261535639 a multiple of 2691? False Is 190 a factor of 354948037? False Is 2032534812 a multiple of 28? True Does 67 divide 2134853166? False Does 21 divide 29838060? True Is 191065139 a multiple of 41? False Is 20 a factor of 2996227? False Is 241394347 a multiple of 1189? True Does 281 divide 77498604? False Is 38886588 a multiple of 441? False Is 1967428 a multiple of 29? False Is 24 a factor of 2623253250? False Does 1686 divide 367451898? True Does 470 divide 69358650? False Is 1072 a factor of 134792208? True Is 2190548592 a multiple of 48? True Is 10 a factor of 65767550? True Does 32 divide 151172384? True Does 3023 divide 2312159688? True Is 72 a factor of 284237640? True Is 3390 a factor of 88892668? False Is 42103174 a multiple of 2137? True Is 13 a factor of 26250497? True Does 3634 divide 2797336912? True Is 73 a factor of 957363172? True Is 7749186 a multiple of 11? False Does 177 divide 920286182? False Is 66 a factor of 28020300? True Is 180215035 a multiple of 35? True Does 214 divide 808145952? False Does 97 divide 5536818? False Is 7129356 a multiple of 598? True Does 573 divide 230490396? True Does 304 divide 69145235? False Does 293 divide 1323433237? False Does 193 divide 142101958? False Does 321 divide 1968722532? True Does 717 divide 757309063? False Does 27 divide 7747939? False Does 854 divide 26376644? True Is 2322616 a multiple of 143? False Is 135618238 a multiple of 6? False Is 5 a factor of 141548817? False Is 37416593 a multiple of 18? False Does 720 divide 26569294? False Does 97 divide 1696530? True Does 12 divide 107516568? True Does 4 divide 111218148? True Is 126 a factor of 277207307? False Is 57624910 a multiple of 70? True Does 544 divide 1010406530? False Is 23604586 a multiple of 263? False Does 20 divide 10872020? True Is 745687 a multiple of 5? False Does 316 divide 16620732? False Is 105042301 a multiple of 13? True Is 9587 a factor of 2265580666? True Is 20925578 a multiple of 664? False Is 554 a factor of 69755248? True Is 526 a factor of 84924804? True Is 1028 a factor of 683428333? False Is 13 a factor of 3271164? True Does 43 divide 6295531? False Does 11 divide 4499132? True Is 11 a factor of 823718? False Is 1137 a factor of 15511044? False Is 14 a factor of 1708654304? True Does 539 divide 15654177? True Does 2179 divide 6685195969? True Is 42 a factor of 282227190? True Does 220 divide 148897676? False Does 609 divide 111796566? True Is 2917109581 a multiple of 12? False Does 1703 divide 51934688? True Is 3858 a factor of 1103103298? False Is 5789056 a multiple of 98? True Is 209472978 a multiple of 99? False Is 3477 a factor of 900174438? True Is 149051769 a multiple of 642? False Does 1412 divide 57353540? False Is 67653712 a multiple of 8? True Is 2195 a factor of 110439230? True Is 5842220 a multiple of 34? True Is 3780159206 a multiple of 1487? True Does 122 divide 56682360? False Is 19 a factor of 44060981? True Is 2247 a factor of 91612437? True Does 57 divide 699443340? False Is 1128 a factor of 167524920? True Is 111936825 a multiple of 2485? True Is 435 a factor of 116782275? True Is 1138 a factor of 2120714210? True Is 9014400 a multiple of 5? True Is 72 a factor of 507593664? True Is 24915536 a multiple of 152? True Is 67680998 a multiple of 682? True Does 684 divide 647297928? True Does 274 divide 135382784? False Is 43706998 a multiple of 73? True Is 112706610 a multiple of 323? False Is 46873320 a multiple of 39? True Is 638 a factor of 22457600? True Is 63 a factor of 742234089? False Is 80 a factor of 488813920? True Is 1124525671 a multiple of 257? False Does 2205 divide 18374265? True Is 82386124 a multiple of 37? True Is 5 a factor of 61689465? True Is 38181403 a multiple of 27? False Is 5379 a factor of 351646543? False Is 741 a factor of 305645457? True Is 97596318 a multiple of 6? True Is 3 a factor of 2363797? False Is 22398939 a multiple of 9? True Is 160655653 a multiple of 13? False Is 59 a factor of 1536006? True Does 179 divide 1987147937? False Does 288 divide 487212763? False Does 172 divide 95005404? True Is 319 a factor of 2714548045? True Is 6523672 even? True Is 657293369 a multiple of 2657? False Is 64696086 a multiple of 26? True Is 79387938 a multiple of 43? False Is 234690141 a multiple of 107? False Is 77 a factor of 51416981? True Does 2849 divide 188821201? False Is 260 a factor of 2718061580? True Is 37241192 a multiple of 424? True Does 621 divide 67616396? False Is 202777077 a multiple of 295? False Does 644 divide 229903492? True Does 1382 divide 917163235? False Is 57139361 a multiple of 885? False Is 434413584 a multiple of 452? True Is 126629237 a multiple of 959? True Is 495 a factor of 8208321? False Is 1561 a factor of 457758567? True Does 911 divide 102852559? False Is 19 a factor of 555613143? True Is 15162384 a multiple of 395? False Is 4430236 a multiple of 8? False Is 614283414 a multiple of 186? True Is 34735330 a multiple of 203? True Is 478143264 a multiple of 96? True Is 19206494 a multiple of 21? False Is 17 a factor of 10211696? True Is 403988364 a multiple of 15? False Is 340011840 a multiple of 192? True Is 92 a factor of 11102284? True Does 206 divide 249708516? False Does 31 divide 410699501? True Does 767 divide 21936330? False Is 922686906 a multiple of 15? False Is 222 a factor of 103104970? False Is 16984564 a multiple of 11? False Does 549 divide 146671938? True Is 40 a factor of 15391576? False Does 1341 divide 8275237? False Does 6 divide 3393718? False Is 9 a factor of 318870? True Does 47 divide 22339523? True Does 47 divide 8762492? True Is 12 a factor of 17562756? True Does 322 divide 436437663? False Is 2152548 a multiple of 4? True Is 4336 a factor of 52149072? True Is 139 a factor of 17737242? False Does 9 divide 132285042? True Is 115204848 a multiple of 8? True Does 22 divide 73891730? True Does 375 divide 266606618? False Does 7 divide 27194012? False Is 551 a factor of 29196388? True Is 46463313 a multiple of 6787? False Is 234648885 a multiple of 1245? True Is 27461707 a multiple of 536? False Is 130638810 a multiple of 1356? False Is 1071236640 a multiple of 480? True Is 262 a factor of 345205698? True Is 12842585 a multiple of 655? True Does 37 divide 301051499? True Is 515068046 a multiple of 74? True Is 940328151 a multiple of 21? True Does 7 divide 1351465743? False Is 597 a factor of 115086078? True Is 899 a factor of 44086822? False Is 84 a factor of 51850075? False Is 2370228 a multiple of 294? True Is 2539 a factor of 1463939159? True Is 31 a factor of 57014380? False Does 358 divide 677909109? False Is 38191032 a multip
{ "pile_set_name": "DM Mathematics" }
+ w**4/24 + 2*w**2. Let a(l) be the second derivative of h(l). Determine a(-4). 2 Let u(h) be the second derivative of -h**3/6 - 9*h**2/2 - 21*h. Determine u(-9). 0 Let b(z) = -z**3 - z**2 - z - 17. Suppose 2*t - 3 = -3. Give b(t). -17 Let h(k) = k + 9. Let j be (8/1)/(-1 + -1). Determine h(j). 5 Let y = 1691/330 - 56/11. Let l(c) be the third derivative of 0*c + 2*c**2 + 0 - y*c**5 + 1/6*c**4 - 1/6*c**3. Give l(3). -7 Suppose v = -v + 14. Let o be 7 + 4/(3 - v). Let u(q) = -2*q + 8. What is u(o)? -4 Let r(c) = c**2 + 11*c + 3. Let z(v) = -v - 1. Let g(d) = r(d) + 4*z(d). Determine g(-6). -7 Let c(x) = x**2 - 1. Let n(v) = 3*v**2 + 8*v - 9. Let h(a) = 4*c(a) - n(a). Let s(u) = -u**3 + 11*u**2 - 10*u + 4. Let w be s(10). Give h(w). -11 Let s(q) = 0*q - q - 5*q**2 + 6 - 4 - 1. Let c(d) = -5*d**2 - d + 1. Let h(x) = 3*c(x) - 4*s(x). Suppose -o + 3*o - 2 = 0. Give h(o). 5 Suppose 0 = -z - 4*x - 14, -2*z + x + 2 = -3*z. Let j(c) be the third derivative of -1/6*c**4 + 1/3*c**3 + 0*c + 1/30*c**5 + 0 - c**2. Give j(z). 2 Let b(v) = v**3 + 2*v**2 + 2*v + 2. Let o be 42/10 + 2/(-10). Suppose 0 = 3*u - o*p - 6, -3*p + 7 = -2*u - 4*p. Calculate b(u). -2 Let g be ((-5)/3)/((-2)/(-6)). Let s(t) = t**3 + 5*t**2 + 6. What is s(g)? 6 Suppose -3*d = 25 - 1. Let x(q) = -q**3 - 8*q**2 - 3*q + 7. Determine x(d). 31 Let x(j) = -j - 3. Suppose 0 = -0*i + 3*i - 7*i. Determine x(i). -3 Let v(z) = -2*z - 6. Suppose -6*o + 5*o = 7. Let d(r) = -r**2 - 5*r + 10. Let j be d(o). Calculate v(j). 2 Let s(c) = c**2 - 3*c - 2. Let h = -10 + 14. Suppose -p - h*v + 8 = -2*p, v - 23 = -5*p. Determine s(p). 2 Let k(z) = 5*z + 8*z - 22*z + 6*z - 3*z**2. Calculate k(-2). -6 Let g(o) be the first derivative of 5 - 1/4*o**4 - o - 3/2*o**2 - 2/3*o**3. Determine g(-2). 5 Let c be (-11)/(-6) - 2/(-12). Suppose 3 = 4*a - c*h + 1, -2*h + 4 = -2*a. Let o(w) = w**3 + w**2 - 4 - 4*w - 5*w**2 + 7*w. Calculate o(a). -4 Let n(o) = -2*o - 3 + 4 - 1 + 2. Give n(4). -6 Suppose -20*v = -25*v + 15. Let g(w) = 2*w - 3 + w - w. Calculate g(v). 3 Let n = -9 + 6. Let c(y) = -y**2 + y - 1. Let d(p) = 3*p**2 - 9*p + 4. Let r = 12 - 7. Let o(t) = r*c(t) + d(t). Determine o(n). -7 Let t = 36 - 28. Let f(v) = v**3 - 8*v**2 - 2. Determine f(t). -2 Let t(z) be the third derivative of -z**6/120 + z**5/15 - z**4/12 - z**3/3 + z**2. Suppose 17 = -4*y - 5*i, 5*y + 3 = -3*i - 2. What is t(y)? 2 Let v(y) = -9*y**2 - 2*y - 15. Let m(p) = -5*p**2 - p - 8. Let h(t) = -11*m(t) + 6*v(t). Let i(q) = -2*q - 5. Let r be i(-4). What is h(r)? 4 Let w(h) = h + 5. Suppose 0*u = 5*r - 3*u - 5, 4*r - 4*u = -4. Suppose -10 = -5*o - 2*y, r*o + 2*y = -0*o + 10. Determine w(o). 5 Let r(k) = 9*k + 11. Let t = 8 + -2. Let p(i) = -5*i - 6. Let m(q) = t*r(q) + 11*p(q). Determine m(3). -3 Let n(z) = 4*z + 2. Let t(w) = -5*w - 3. Let h = 13 - 19. Suppose -5*o = -o + p + 19, 0 = 2*o - 2*p + 12. Let l(m) = h*n(m) + o*t(m). Determine l(-6). -3 Suppose 4*v - 6*v = 4. Let l(r) = r - 6. Let s(o) = o - 9. Let z(d) = 7*l(d) - 5*s(d). What is z(v)? -1 Let n(q) = 1 + q - 4 - 2*q + 0. Determine n(-2). -1 Let w(u) = u**2 - 2*u + 4. Let l be 15/(-21) + (-4)/14. Let n be 1 - l - (-2 + 0). Give w(n). 12 Let l(s) = 23*s - 1. Let o be l(1). Suppose -o = 5*h - f, -3*f - f = 2*h. Let w(b) = b + 2. Calculate w(h). -2 Let o(q) = -q + 13 + q**2 + 4*q - 3*q - q. Give o(0). 13 Let a(k) = -k - 1. Let w(d) = 4*d + 2. Let b(y) = -6*a(y) - 2*w(y). Let z be b(2). Let n(t) = -2*t**2 - 2*t. Determine n(z). -4 Let t(u) = -u**2 + 8*u - 8. Suppose -2*q - 6 + 4 = -2*d, 0 = -q - d + 7. Suppose -4*c + 8 + 8 = 0. Suppose o = 4*w - 25, 0 = c*w - q*o - 21 - 6. What is t(w)? 4 Let a(z) = -z**2 + 8. Let m(x) = -x - 3. Let s be m(-6). Let i(l) = l**3 - 2*l**2 - 4*l + 3. Let n be i(s). Give a(n). 8 Suppose -2*j = 1 - 5. Suppose 0 = j*m + 4*v - 6, 2*m + 6 = 4*m - 4*v. Let f(o) = o - 3. Determine f(m). 0 Let w = 73/1368 - 2/171. Let m(u) be the third derivative of 0*u - w*u**4 - 2*u**2 + 0 - 1/2*u**3. Calculate m(-5). 2 Let v(b) = -2*b - 3. Let a = 16 + -20. Give v(a). 5 Let d(o) be the second derivative of -o**3/3 - 2*o**2 + 66*o. Give d(-2). 0 Let t be -2 - (1 + -1) - -1. Let y = -1 + t. Let n(l) = -l**3 - 4*l**2 - 4*l - 3. Give n(y). -3 Let b(w) = w. Let l be 18/(-22) + (-4)/22. Let d = l - -8. Let n = 8 - d. What is b(n)? 1 Let m(n) = -n**2 - 3*n - 3. Suppose 0 = 2*i + 3*q - 6*q + 3, 0 = -5*i + 5*q + 5. Let t be (-3 - -6)/(i/20). Let f be 34/(-10) + 4/t. Give m(f). -3 Let t(b) = b**2 + 7*b - 3. Suppose 4*f + 34 = 2*c, 4*c = -5*f + 3*c - 25. Calculate t(f). -9 Suppose 41 = 3*g - r, -r - 10 = -g + 5. Let f = 10 - g. Let x(c) = -c - 6. Give x(f). -3 Let f(z) = -5*z**2 - 8*z - 8. Let l(h) = -14*h**2 - 24*h - 24. Let a(t) = -11*f(t) + 4*l(t). Determine a(-6). 4 Let c(d) = -d**3 + 7*d**2 - 5*d + 1. Suppose 26 = 5*h - 4. Determine c(h). 7 Let j(r) = -7*r**2 + 4*r. Let t(a) = 6*a**2 - 3*a. Let w(u) = 4*j(u) + 5*t(u). Determine w(-2). 6 Let l be ((-2)/(-4))/(-6 - (-222)/36). Let c(v) = v - 4. What is c(l)? -1 Suppose 0 = 12*x - x - 55. Let q(y) = -y**2 + 10*y - 7. Determine q(x). 18 Let o(n) = 15*n + 0 - 7*n + 2. What is o(-2)? -14 Let x = -6 - -3. Let o(l) = 3*l - 2. Calculate o(x). -11 Let b(p) = -3*p**2 + 5*p - 2. Let i(z) = -z**2 + 2*z - 1. Let g(f) = 2*b(f) - 5*i(f). Determine g(3). -8 Let t(d) = d**3 - 2*d**2 + 2*d - 3. Let q(i) = -2*i - 3. Suppose -v - 12 - 11 = 3*h, -v - 29 = 4*h. Let j be q(h). Let m be 2/6 + 15/j. Give t(m). 1 Let u(i) = -6*i**3 - 2*i**2 - 2*i - 1. Let w be 6*(-4)/(-6) + 2. Suppose -1 - 5 = 2*l, -3*y + w = -3*l. What is u(y)? 5 Let u(v) = -2*v**2 - 2*v - 6. Let j(m) = 3*m**2 + 3*m + 9. Let z(l) = 5*j(l) + 7*u(l). Let k be z(0). Let g(x) = x - 3. Determine g(k). 0 Let o(g) be the second derivative of g**5/20 + 7*g**4/12 + g**3 + g**2 - g. Let t(i) = i**3 - i**2 - i - 6. Let q = -23 + 23. Let v be t(q). Determine o(v). 2 Let n(r) = r**3 - 5*r**2 + r - 4. Suppose -2*o - 6 + 16 = 0. Determine n(o). 1 Suppose 0 = -2*i - i - 2*w + 34, -w = 2*i - 21. Let d(m) = -i*m + 11*m**2 + 8*m. Give d(-1). 11 Let j(i) = -i + 0*i**3 - 6*i**2 + i**3 + 2 + 5*i. Suppose 3*f + 10 = 2*m - 0*m, -m - 2*f = -5. Give j(m). -3 Suppose -2*r - 34 + 154 = 0. Let g = r + -34. Suppose -g = 5*f - 6. Let l(x) = x**3 + 3*x**2 - 3*x. Calculate l(f). -4 Let t(v) be the third derivative of v**5/60 - v**4/8 - 2*v**3/3 - 19*v**2. Calculate t(3). -4 Suppose 4*d = -4*b, 8*b + 5*d - 2 = 4*b. Let n(m) = -3*m + 0*m + 2*m - 4. Give n(b). -2 Let y(w) be the second derivative of w**5/20 - w**4/2 - w**3/2 + 9*w**2/2 - 10*w. Give y(6). -9 Let f(h) = h**3 + 12*h**2 - 14*h - 14. Let t be f(-13). Let c be 6 + (t - 1)*1. Let n(l) = l**3 - 5*l**2 + 3*l - 3. Give n(c). -7 Suppose 0 = -3*n + n - 40. Let k = -15 - n. Let m(z) = z**3 - 4*z**2 - 3*z - 2. Calculate m(k). 8 Let x(s) = -s - 1. Let f be x(-1). Let v(d) = -2*d + 0*d + d**2 - d**3 - 6 + 2*d. Determine v(f). -6 Let m(p) = -4*p**3 + p**2 + 6*p + 3. Let y(g) = 21*g**3 - 6*g**2 - 31*g - 15. Let h(l) = -11*m(l) - 2*y(l). Calculate h(-2). -7 Suppose 0 = y - 5*y - 20. Let f = -2 - y. Let t(q) = 0*q**2 - 2*q + 4 + 5*q - q**2. Determine t(f). 4 Let o(z) be the first derivative of z**4/4 - 4*z**3/3 - z**2 + 5*z - 1. Let x(u) = -u**2 + 10*u + 14. Let q be x(11). Let p be q/(-1 + 2) - -1. Give o(p). -3 Let j(x) = -x + 16. Let c be j(10). Let s(y) = -y**2 + 7*y - 8. Determine s(c). -2 Let z = 4 + -6. Let v be (2/2 + -3)/z. Let p(n) = -18 - 16 + 3*n + 35. Calculate p(v). 4 Let a(f) = 4*f**2 + 6*f + 7. Let i(k) = -3*k**2 - 6*k - 6. Let r(z) = -2*a(z) - 3*i(z). Determine r(-3). -5 Suppose 3*t = -2*t + 15. Let w be (t - 1) + -2 - -4. Let y(f) = f**2 - 2*f - 5. Give y(w). 3 Let y(z) = 5*z**2 - 2*z + 1. Let m be 30/9 + 3/(-9). Suppose 0 = -a + m*a + 2*g - 6, -1 = -3*a + g. Give y(a). 4 Suppose -5*j - 15 = 3*f, f - 17 = 2*j - 0. Let b(v) = -13*v - v**2 + 2*v**2 - 2*v + 21*v - 4. What is b(j)? -4 Suppose 0*b = 5*b. Suppose -4*v + b*v = 8. Let o(a) = 0*a**2 + a - 2*a**2 - 2*a. Give o(v). -6 Let g(u) be the third derivative of u**4/8 + 7*u**3/6 - 32*u**2. Give g(-5). -8 Let b(h) be the third derivative of -h**4/12 + h**3/6 + 2*h**2. Let a = -47 + 43. What is b(a)? 9 Let r = 14 - 6. Suppose -12 = -4*h + r. Let z(y) be the third derivative of -y**4/24 + 3*y**3/2 + y**2. Determine z(h)
{ "pile_set_name": "DM Mathematics" }
etermine r(-10). 15 Let b(s) = -s**3 + 16*s**2 - 10*s - 20. What is b(15)? 55 Let c(a) = -a**2 - 7*a + 36. Give c(-11). -8 Let x(p) = p**3 - 9*p**2 + 4*p + 8. Determine x(8). -24 Let t(m) = -m**3 + 17*m**2 + 3*m - 6. Give t(17). 45 Let w(q) = -3*q**3 - 55*q**2 - 21*q - 55. Calculate w(-18). -1 Let z(a) = a**3 + 13*a**2 + 6*a - 23. What is z(-12)? 49 Let p(d) = -20*d - 11. Give p(-3). 49 Let i(o) = -o**3 - 14*o**2 - 13*o - 12. Give i(-13). -12 Let v(h) = -3*h - 107. What is v(-32)? -11 Let m(b) = 2*b + 2. Calculate m(0). 2 Let g(v) = -2*v**2 - 23*v + 6. What is g(-12)? -6 Let q(g) = g**2 + 13*g - 53. Give q(-16). -5 Let m(j) = j**3 + 3*j**2 + 5*j + 2. Give m(-3). -13 Let q(y) = 2*y**3 + y**2 + 3*y + 2. Determine q(-1). -2 Let r(p) = -p**3 + 8*p**2 - 6*p + 2. Give r(6). 38 Let t(u) = u**2 - u + 18. What is t(0)? 18 Let q(w) = -9*w - 57. Give q(-6). -3 Let v(k) = -k**2 - 2*k. What is v(-4)? -8 Let v(k) = 7*k + 4. What is v(-5)? -31 Let u(z) = -z**2 + 19*z - 117. Calculate u(12). -33 Let n(x) = 2*x + 8. Give n(-9). -10 Let y(o) = -25*o - 22. Calculate y(3). -97 Let i(p) = 2*p**2 + 34*p - 4. Give i(-17). -4 Let b(y) = y**2 + 4*y + 4. Determine b(-6). 16 Let f(h) = h + 5. Give f(-5). 0 Let w(b) = 3*b + 60. What is w(-22)? -6 Let m(p) = -3*p**2 + 14*p - 6. Determine m(5). -11 Let r(q) = -q + 6. Calculate r(11). -5 Let a(z) = 4*z - 15. What is a(-12)? -63 Let q(u) = u - 4. What is q(-17)? -21 Let s(a) = a**3 + 2*a**2 - 16*a - 7. Calculate s(-5). -2 Let a(y) = -2*y**2 + 5*y - 3. What is a(3)? -6 Let m(x) = x**2 + 10*x - 17. What is m(-12)? 7 Let x(a) = -a**2 - 7*a - 10. Calculate x(-13). -88 Let k(p) = p**3 - 13*p**2 + 17*p + 21. Give k(11). -34 Let j(d) = -68*d + 144. What is j(2)? 8 Let t(v) = -v**3 + 7*v**2 + 19*v - 1. Give t(9). 8 Let n(v) = -2*v + 11. Determine n(0). 11 Let n(g) = 2*g**2 + 10*g. Determine n(-7). 28 Let z(w) = 10*w - 5. What is z(1)? 5 Let k(n) = 14*n**2 + 4*n + 2. Determine k(-2). 50 Let y(q) = q - 3. Give y(10). 7 Let c(q) = 11*q + 9. What is c(-3)? -24 Let s(a) = -a**2 + 6*a + 1. Determine s(7). -6 Let l(c) = c - 2. What is l(4)? 2 Let s(a) = -a**2 + a + 9. Give s(0). 9 Let p(m) = 21*m + 18. Calculate p(-4). -66 Let w(d) = -d**2 + 2*d. Determine w(5). -15 Let m(n) = -11*n + 47. Give m(3). 14 Let j(m) = -12*m - 17. What is j(-6)? 55 Let k(c) = 4*c**2 - c + 3. What is k(4)? 63 Let c(j) = j**3 - 9*j**2 + 12*j + 1. Give c(5). -39 Let n(l) = l**2 - 13. What is n(0)? -13 Let n(b) = b**2 + b + 4. What is n(3)? 16 Let p(o) = -25*o**3 - o**2 - o. Give p(-1). 25 Let k(y) = y**2 + 17*y + 16. Calculate k(-16). 0 Let t(f) = -5*f - 31. Calculate t(-8). 9 Let t(n) = 12*n**3 + 1. Give t(-1). -11 Let s(w) = 2*w**2 + 59*w - 33. Calculate s(-30). -3 Let h(p) = 4*p + 13. Calculate h(0). 13 Let c(m) = 7*m**3 - m**2 - 5*m - 3. Determine c(3). 162 Let v(y) = 8*y**3 + y**2 + y + 1. What is v(2)? 71 Let t(x) = -x**2 - 9*x - 14. Determine t(-8). -6 Let v(t) = -t**3 - t**2 + 71*t + 1. Give v(8). -7 Let a(g) = g**2 - 7*g + 7. Give a(3). -5 Let o(z) = -7*z + 2. What is o(1)? -5 Let g(j) = 109*j - 2. Give g(0). -2 Let t(s) = -s**3 - 10*s**2 - 4*s - 25. Give t(-8). -121 Let d(k) = -k**2 - 10*k + 4. Calculate d(-11). -7 Let p(a) = -27*a**2 - 7*a - 3. Determine p(-2). -97 Let c(w) = -w**3 - 6*w**2 + 26*w - 12. Give c(-9). -3 Let a(h) = -5*h**2 + 2*h + 26. What is a(-6)? -166 Let v(x) = -x**3 + 5*x - 13. Determine v(3). -25 Let c(t) = -t**3 + 9*t**2 - 8*t - 4. Give c(6). 56 Let v(s) = s**2 - 8*s + 5. What is v(9)? 14 Let p(u) = -u**3 + 9*u**2 - 12*u + 17. What is p(7)? 31 Let o(p) = -p**3 + 8*p**2 - 6*p - 2. Calculate o(8). -50 Let j(u) = -u**2 - 70*u - 708. Calculate j(-58). -12 Let m(a) = -12*a + 5. Calculate m(2). -19 Let p(o) = 5*o**3 + o**2 + o - 2. Give p(1). 5 Let f(t) = t**2 + 5*t - 13. Calculate f(-4). -17 Let c(z) = -z**3 + 13*z**2 - 12*z + 14. What is c(12)? 14 Let k(g) = -g**2 - 19*g + 25. What is k(-20)? 5 Let b(i) = 44*i - 45. Give b(2). 43 Let u(a) = -a**2 + 4*a + 5. Determine u(7). -16 Let s(o) = -o**2 - 6*o - 1. Give s(-5). 4 Let g(m) = m**2 + 3*m - 26. Give g(-8). 14 Let d(k) = 2*k. Determine d(-8). -16 Let r(m) = m**2 - m - 38. Determine r(0). -38 Let m(k) = -k**3 + 7*k**2 + 4*k - 16. Calculate m(7). 12 Let n(i) = i**3 + 9*i**2 - 11*i - 1. Determine n(-10). 9 Let k(b) = b**3 - 6*b**2 - 3. Determine k(6). -3 Let u(k) = -k**3 + 13*k**2 - 14*k + 10. Calculate u(12). -14 Let p(i) = -i**3 - 8*i**2 - 6*i + 6. What is p(-7)? -1 Let a(q) = -13*q - 626. Calculate a(-48). -2 Let n(c) = 2*c**3 + 1. Calculate n(-2). -15 Let g(q) = q + 5. What is g(13)? 18 Let z(u) = -u**3 - 5*u**2 - 4*u + 6. Calculate z(-4). 6 Let p(o) = -2*o**2 - 50*o + 100. Calculate p(-27). -8 Let y(m) = m**3 - 11*m**2 + 20. Calculate y(11). 20 Let i(x) = x**2 - 4*x + 5. What is i(6)? 17 Let x(o) = -4*o + 32. Calculate x(9). -4 Let z(x) = x**3 + 10*x**2 + 9*x. Give z(-9). 0 Let i(n) = 21*n. Determine i(-1). -21 Let h(n) = -n**3 - 13*n**2 - 24*n - 11. Give h(-11). 11 Let m(z) = -z**2 + 10. What is m(-8)? -54 Let q(t) = -t**3 + 11*t**2 + 25*t + 10. Calculate q(13). -3 Let s(a) = a**2 - 9*a - 11. Give s(12). 25 Let n(c) = 3*c**2 - 2*c + 2. What is n(1)? 3 Let x(s) = -3*s - 13. Determine x(5). -28 Let p(b) = -3*b**3 - b**2. Give p(-1). 2 Let b(i) = i**2 - 8*i - 48. Calculate b(12). 0 Let h(i) = 4*i + 3. What is h(12)? 51 Let c(s) = -6*s - 8. What is c(-1)? -2 Let m(u) = -43*u. What is m(-2)? 86 Let r(k) = -19*k - 6. Give r(0). -6 Let k(x) = -x**3 - x**2 + 6. What is k(0)? 6 Let m(d) = -d**2 - 27*d - 26. Give m(-26). 0 Let g(l) = 7*l - 111. Determine g(20). 29 Let c(s) = s**2 + 2*s + 4. Determine c(-2). 4 Let j(q) = -2*q + 4. Give j(1). 2 Let v(d) = -d**3 + 12*d**2 - 36*d + 280. Give v(11). 5 Let l(d) = d**3 + 15*d**2 - 17*d - 17. Give l(-16). -1 Let i(k) = -2*k**2 + k - 1. What is i(1)? -2 Let h(l) = -27*l - 1. What is h(-2)? 53 Let g(v) = 3*v**2 + 32*v + 99. Calculate g(-5). 14 Let s(z) = z**3 - 13*z**2 + z + 10. Give s(13). 23 Let k(b) = -b**3 + 2*b**2 + b + 1. Give k(-2). 15 Let x(f) = f**3 - 23*f**2 - 10. Calculate x(23). -10 Let g(u) = -5*u + 12. What is g(4)? -8 Let a(v) = 4*v**2 - 8*v - 20. Determine a(-2). 12 Let n(j) = j**3 - 7*j**2 - 10*j - 12. Determine n(8). -28 Let i(g) = 3*g + 7. What is i(-4)? -5 Let b(z) = -7*z - 2. Calculate b(5). -37 Let t(q) = 2*q**2 - 2. Calculate t(3). 16 Let v(c) = -c**2 + 34*c + 48. Determine v(36). -24 Let f(b) = b**3 + 8*b**2 + 12*b - 2. Determine f(-6). -2 Let p(d) = -13*d - 345. Calculate p(-27). 6 Let y(a) = a**2 + 5*a - 335. What is y(-21)? 1 Let h(l) = -14*l - 276. Determine h(-19). -10 Let p(b) = -b**3 + 5*b**2 - b. What is p(5)? -5 Let z(m) = -2*m + 21. Determine z(7). 7 Let f(l) = -4*l + 4. Give f(2). -4 Let u(x) = -x**3 + 9*x**2 + 15*x - 21. What is u(11)? -98 Let w(n) = -2*n - 1. Calculate w(5). -11 Let r(x) = x**2 + 11*x. Determine r(-14). 42 Let b(s) = -15*s**2 + 3*s - 4. What is b(1)? -16 Let q(k) = k**3 + 14*k**2 - 9*k + 84. What is q(-15)? -6 Let x(h) = -38*h + 58. Give x(2). -18 Let i(q) = q**2 + 13*q + 20. What is i(-9)? -16 Let n(h) = 6*h - 1. What is n(4)? 23 Let z(v) = -6*v - 57. Give z(-6). -21 Let x(u) = 2*u**2 + 32*u - 94. What is x(-19)? 20 Let g(z) = -z**3 - 2*z**2 + 3*z + 9. Determine g(-3). 9 Let w(l) = -2*l**3 - 4*l**2 + l + 2. Calculate w(2). -28 Let o(l) = -l**3 - 2*l**2 - 4*l + 49. What is o(6)? -263 Let d(r) = -r**3 - 4*r**2 - 2*r + 1. Determine d(-3). -2 Let k(v) = v - 28. What is k(11)? -17 Let o(w) = 15*w - 40. Give o(9). 95 Let o(a) = 11*a - 303. Determine o(29). 16 Let w(r) = r - 7. What is w(6)? -1 Let g(d) = -4*d**2 - 2*d + 4. Give g(-3). -26 Let l(b) = b + 22. What is l(-19)? 3 Let w(v) = -v**2 + 14*v + 20. Give w(16). -12 Let l(o) = o**2 + 7*o - 18. Give l(-10). 12 Let b(w) = -w**3 + 9*w**2 + 2*w + 12. What is b(9)? 30 Let h(p) = p + 2. Calculate h(-7). -5 Let n(p) = p**2 + 5*p + 7. Calculate n(-5). 7 Let s(q) = q**2 - q. Calculate s(-1). 2 Let u(k) = 3*k**2 + 50*k + 31. Determine u(-16). -1 Let v(b) = 18*b + 11. What is v(6)? 119 Let q(g) = 4*g - 3. What is q(-1)? -7 Let u(r) = -2*r**2 + 19*r - 15. Determine u(13). -106 Let a(u) = 2*u - 3. What is a(3)? 3 Let o(r) = -r**2 - 3*r + 27. Give o(-6). 9 Let p(h) = -h**2 - 13*h - 48. Determine p(-7). -6 Let d(p) = -p**3 - p**2 + 4. Give d(2). -8 Let s(l) = l*
{ "pile_set_name": "DM Mathematics" }
*3 + 3*j**3 + (2 + 3 - 7)*(0*j**2 - 3*j**3 + 0*j**2). 5*j**3 Expand (2*v**3 - 4*v**3 + 3*v**3)*(4*v**2 + 11*v**2 - 5*v**2). 10*v**5 Expand -6*v + 2 + 2*v + 2*v + (2*v + 1 - 1)*(4 + 0 - 3) + 2 + 2*v - 2. 2*v + 2 Expand (-2 - 2*r + 2)*(-r - 2*r + 0*r)*(0*r**2 + 0*r**2 - 5*r**2). -30*r**4 Expand -12*m**4 + 3*m**4 + 0*m**4 - 3*m**4 - 3*m**4 + 4*m**4 + (4*m**2 + m**2 - 2*m**2)*(3*m**2 - 2*m**2 + m**2). -5*m**4 Expand (-2 + 2 + 2*y)*(-2*y - 3*y + 0*y). -10*y**2 Expand (-k - k + 3*k)*(-k**2 - k**2 + k**2) + 2*k**3 - 4*k**3 - 2*k**3 + (-3 + 3 - k)*(-3*k**2 - 4*k**2 + 5*k**2). -3*k**3 Expand i - 4*i + 5*i + (3 - 3 - i)*(0 + 4 - 3) + 19*i + 11*i - 5*i. 26*i Expand ((-5 + 0 + 2)*(-3*j + 4*j - 3*j) + 3*j - 5*j + 3*j)*(5*j + 1 + 3*j - 6*j). 14*j**2 + 7*j Expand -r**3 + 2*r**5 + r**3 - 2*r**4 - 2*r**5 + 2*r**4 - 2 - 2*r**5 + 2 + (3*r**5 - 2*r**5 - 2*r**5)*(0 - 3 + 5) + 3*r**2 - 2*r**5 - 3*r**2. -6*r**5 Expand (t**2 - 2*t**2 - t**2)*(-2*t + 2*t**2 + 2*t) - 15 + 5*t**4 + 15. t**4 Expand (o**2 - 5*o**2 + 3*o**2)*(7*o**3 - 4*o**3 + 0*o**3 + 1). -3*o**5 - o**2 Expand (-2*i**3 + 0*i**3 + 6*i**3)*(-3 + 4 - 2)*(2*i + 2*i - 5*i). 4*i**4 Expand (l + 3*l + 0*l + (3 - 7 + 3)*(0*l - l + 4*l))*(0*l**2 - l**2 + 0*l**2). -l**3 Expand (0*d**3 - d**3 + 5*d**3)*(-4 + 0 + 2*d**2 + 2) + d**5 + d**4 - d**4. 9*d**5 - 8*d**3 Expand (5*p - 2*p + 2*p)*(p**4 - 2*p**4 - p**4) - 2*p**5 + p**3 + p**3 - p**3. -12*p**5 + p**3 Expand (4 - 4 + 1)*(-c**2 + 0*c**2 + 0*c**2)*(-2 + 2 + 2*c)*(2*c + 1 - 1). -4*c**4 Expand (-4*j**2 + j**3 + 4*j**2)*(-4*j**2 - j + j) + 4*j**5 - 2*j**5 + 0*j**5. -2*j**5 Expand (-y - 1 + 1)*(3*y**4 + 0*y**2 + 0*y**2) + (3 - 7 + 1)*(-3*y**5 - 3*y**5 + 3*y**5). 6*y**5 Expand (-5*v + v - 2*v)*(-2*v + 4*v + v). -18*v**2 Expand ((1 - 3 + 0)*(2*t - 7*t + 3*t) + t - 4 + 4 + 2*t - t + 4*t)*(3 - 2 + 0). 10*t Expand 0 + 2*b**2 + 0 - 2*b**2 + 0*b + 0*b + (-1 - 2*b + 1)*(-b + 5*b - 3*b) + (-5 + 2 + 2)*(-4*b**2 + 4*b**2 + 2*b**2). -4*b**2 Expand (-q**3 - 2*q**3 + q**3)*((0*q**2 + 0*q**2 - 2*q**2)*(0 - 3 + 1) - 3*q**2 - q**2 + 2*q**2). -4*q**5 Expand (4*t**2 - 3*t**2 - 3*t**2)*(-2 + 0 + 3) - t + 22*t**2 - 36*t**2 + 2*t. -16*t**2 + t Expand 2*k**3 - 3*k + 3*k + (2*k - k - 2*k)*(3*k**2 - k**2 + k**2) + 4 - 4 - k**3. -2*k**3 Expand (0 - 2 + 0)*(4*k - 2*k - k) - 6*k + 404 - 404. -8*k Expand (-1 - 1 + 0)*(4 + 5 - 3)*(-2*r + 3*r + r). -24*r Expand (35 + 4 + 7*n**2 - 9*n**2)*(-2*n**3 - n**3 + 2*n**3). 2*n**5 - 39*n**3 Expand (-2 - 2 + 3)*(-5*c**2 + 2*c**2 + c**2) + 2*c**2 - c**2 + c**2. 4*c**2 Expand (-5*z**3 + 2*z**3 + 4*z**3)*(3 + 1 - 6)*(1 - 4 + 5). -4*z**3 Expand (s + 0*s - 4*s)*(s + s - s)*(0 - 3 + 2)*(0 - 1 - 1)*(2 + 4*s - 2). -24*s**3 Expand (2*x - 6*x + 2*x)*(-2 - 1 + 5) - x - x + 4*x + 10 - 10 - x. -3*x Expand (4 - 4*m - 4)*(3 - m - 3)*(5 - 1 - 1). 12*m**2 Expand -2*d**5 - 2*d**5 - 2*d**5 + (3 - 4 - 2)*(8*d**5 - d**4 + d**4). -30*d**5 Expand (-r - 2*r + 6*r)*(1 - 2 + 0 + (-2 - 1 + 4)*(2 + 0 - 3) + 0 + 1 + 0 + 0 + 2 - 4). -9*r Expand (2*u - 3*u - u)*(-5*u + 2*u + 2*u + (3 - 3 - 2)*(-1 + 1 + u)). 6*u**2 Expand (-c + 2*c - 4*c)*(4*c - 7*c + 2*c) + (1 - 1 - c)*(7*c - 9 + 9). -4*c**2 Expand 4*o**3 + 0*o**3 - 2*o**3 + (-4 - 3*o + 4)*(o + 2*o**2 - o) - 3 - 3*o**3 + 3. -7*o**3 Expand (11*d - 11*d + 5*d**2)*(-4*d**3 + 0*d**3 + 2*d**3). -10*d**5 Expand -5*n**2 - n**2 + 4*n**2 + 3*n**2 - 4*n + 4*n + (n + 7 - 7)*(3 - 3 + 2*n). 3*n**2 Expand (2*k**3 + 3*k**3 - 4*k**3)*(4 - 4 - 2*k) + k**4 + 2*k**4 - 5*k**4 - 1 + 1 - 2*k**4 + (-3*k**3 + 2*k - 2*k)*(2*k + 3 - 3). -12*k**4 Expand (-p - 3 + 3)*(-13*p + 12*p - 17*p)*(-2 - 4 + 1). -90*p**2 Expand 2*j + 3 - 3 + (0 + 1 - 2)*(-2*j + 4*j - 4*j) + 7*j + 0*j - 10*j. j Expand -x**3 - 2*x**2 + 2*x**2 + (0 + 0 + 2*x)*(-4*x**2 - x**2 + 2*x**2) + 2*x**3 - 3*x**3 + 2*x**3 - 2*x**3 - 3*x**3 + 4*x**3 - 4*x**3 + 5*x**3 + x**3. -5*x**3 Expand (0*n - 4*n**2 + 0*n)*(-n**2 + n**2 + 2*n**2). -8*n**4 Expand h - 2*h + 0*h - 8 + 4 + 2*h + 2 - 4*h + 4*h + 3*h - 5*h + 4*h + 0*h + 5 - 5 - h + (2 + 1 - 1)*(0 - 2*h + 0) + h + h - 4*h. -4*h - 2 Expand (2*x + 0*x + 0*x)*(-2*x + 21*x**2 + 4*x - x). 42*x**3 + 2*x**2 Expand (-1 + 1 + 2*b**3 - b**4)*(-2*b + 6*b + 2*b)*(-2 + 2 + 2). -12*b**5 + 24*b**4 Expand (-3 + 1 + 3 - 1 + 0 + 0 + (0 + 3 - 6)*(3 - 2 + 0))*(-1 + 1 + 2*k). -6*k Expand 40*s**3 - 1620*s**2 + 1620*s**2 + (-s**2 + s**2 + s**2)*(s - 5*s + 2*s). 38*s**3 Expand (-11*r**4 + 14*r**4 - 14*r**4)*(-1 + 1 + r) + (-r**2 + r**2 + 2*r**5)*(1 + 1 - 1) - r**5 - 3*r**3 + 3*r**3. -10*r**5 Expand (-11 + 24 - 5)*(11 + 3*k**2 - 12 - 11*k**2). -64*k**2 - 8 Expand (11 - 1 + 2)*(4 - 2*i - 4) - 10 + 10 + 2*i. -22*i Expand (3*u - 2*u + 0*u)*(8*u**2 + 0*u**2 - 3*u**2) + u - u - u**3. 4*u**3 Expand 16*c**2 - 16*c**2 + 13*c**5 + c**5 + 3*c**4 - 3*c**4 + (-5*c**4 + 3*c**4 + 0*c**4)*(-1 + 2*c + 1). 10*c**5 Expand (-2 + 1 + 2)*(0*l - 5*l + 2*l) + 2*l - l - 4*l. -6*l Expand ((-z - 3*z + 5*z)*(-1 + 1 + 2*z) - 2*z**2 + 3*z**2 - 4*z**2 + 2*z**2 - 2*z + 2*z)*(-2*z + 4*z + 0*z) + (-1 + z**2 + 1)*(0*z + 2*z + 0*z). 4*z**3 Expand -2*z**2 - 3*z + 3*z + (2*z + 0*z + 9*z)*(0*z - 2*z + 0*z) + 0 + 2*z**2 + 0. -22*z**2 Expand -7 - 3 + 4 - 2*r + 0 + 2*r + 0 - r + 1 - 1 + (1 - 1 + 2)*(0 + r + 0) - 3*r - 3*r + 7*r. 2*r - 6 Expand (-2 + 2 - 3*i)*(-6 + 1 + 0). 15*i Expand (-4*w + 6*w**4 + 4*w + 2*w**4 - 2*w**4 - 2*w**4 - 4*w**4 + 6*w**4 - w**4 + (-1 + 1 + w**3)*(0*w + 0*w - 2*w))*(1 + 0 + 1) - w + w**4 + w. 7*w**4 Expand (-1 - 5 + 4)*(-21*f - 19*f + 29*f)*(-4*f**2 + 5*f**2 + f**2). 44*f**3 Expand (-3*g**2 + g**3 + 3*g**2)*((-2 + 2 - 1)*(-4 + 3 - 1) + 0 + 2 - 6 + (1 - 4 + 2)*(-3 + 2 + 0))*(g**2 + 0*g**2 + 0*g**2). -g**5 Expand (-5*t + 3*t + t)*(-t - t + 3*t - 2 - t + 2 + (-1 + 0 - 1)*(0 + 0 - 2*t) + 3*t - 4*t + 2*t - t + 3*t - 4*t - 4 - 2*t + 4)*(0*t**2 - 2*t**2 + 0*t**2). 2*t**4 Expand 3*f - 3*f - 2*f**4 + 4*f**4 - 4*f**4 - f**4 + (f**2 + 2*f**3 - f**2)*(0 + 0 + 2*f) - 2*f**4 - f**4 + 4*f**4 + f**4 - f**3 + f**3. 3*f**4 Expand (-p**2 - p**2 + p**2)*(15*p**3 + 3 - 3) + 2*p**5 + 2*p - 2*p. -13*p**5 Expand (d + d + 0*d + (2*d - 4*d + 0*d)*(1 - 4 + 2))*(14*d**3 + 5*d - 5*d). 56*d**4 Expand (-4 + 2 + 1)*(-r - 3*r + 5*r) + (-2*r - r + 4*r)*(1 + 8 - 1) - r + 0*r + 2*r + 3. 8*r + 3 Expand (0*v - 2*v + 0*v)*(5 - 4 + 0) + 9*v - 5*v + 7*v + (-3 + 2 + 2)*(3*v + 2 - 2). 12*v Expand (-3*q - 4*q - 6*q)*(0*q**2 + q**2 - 3*q**2) + (-2*q**2 + 4*q**2 - q**2)*(2*q + 3 - 3) - 4*q - q**3 + 4*q. 27*q**3 Expand (2*v + 5 - 5)*((-4 + 3 + 4)*(2 + 2*v - 2) + 4*v - 6*v + 0*v). 8*v**2 Expand (-2 - 6 + 2 - 4 + 0 + 2 + 1 - 1 + 1 + (3 - 3 + 2)*(-4 - 2 + 5))*(3 - 3 + r)*(0 + 1 + 1). -18*r Expand (k + 3*k - 5*k)*(-2*k + 29 - 25 - k). 3*k**2 - 4*k Expand (0*k**2 + 2*k**2 - 4*k**2)*(0 + 5 - 3 + (1 + 1 - 4)*(1 + 3 - 1))*(2*k - 2*k - k). -8*k**3 Expand (10 - 2 + 14)*(-4 + 0 + 6)*(-q**3 + 0*q + 0*q). -44*q**3 Expand -4 + a + 10 + a + (-2*a - 3*a + a)*(1 + 2 - 5). 10*a + 6 Expand (-3*q + 6*q - 2*q)*(1 + 2*q**3 - 1) + (-q + 4*q**2 - 5*q**2 + 0*q)*(0*q**2 - 2*q**2 + q**2). 3*q**4 + q**3 Expand -b**5 - 7*b**5 + 0*b**5 + (-3 - b + 3)*(-b**2 - b**4 + b**2) + (3 - 3 - 2*b**5)*(-4 + 2 + 1). -5*b**5 Expand 1 + 5 - 4 - x - 4*x + 3*x + 3*x - 2*x + 4 - 4 + (x - 1 + 1)*(-22 - 49 + 23). -49*x + 2 Expand f**3 - 5*f**3 + 7*f**3 + f + f**3 - 2 - f - 2*f + 2*f**3 + 2*f + (0*f + f + f)*(-2*f**2 - 1 + 1). 2*f**3 - 2 Expand (2*l - 3*l + 2*l)*(-3*l + 2*l - l)*(17 - 17 - 8*l). 16*l**3 Expand h**5 - 3*h**5 + 0*h**5 + (2*h - h - 2*h)*(2*h**4 - h**4 + h**4). -4*h**5 Expand 2*d - d**2 - 2*d + 20*d**2 + 38 - 38 + (-d + 2 - 2)*(0*d + 2*d + 0*d) + 3*d - 3*d + d**2. 18*d**2 Expand (-5*m + 4*m + 2*m)*(-1 - 5 + 3). -3*m Expand (0*b**2 - 4*b**2 + 0*b**2)*(-4 - 1 + 1). 16*b**2 Expand (1 - 1 - c)*(2*c - 5*c + 0*c). 3*c**2 Expand 3*w**5 - 4*w**5 + 2*w**5 + (-2*w + 1 - 1)*(28*w**2 - 33*w**2 + 5*w**4 + w**4). -11*w**5 + 10*w**3 Expand (3 + 4 + 9)*(2 - 2 + 2)*(-2*z + 2*z + z). 32*z Expand -t**3 - t**3 - t**3 + (t**3 + t**3 - 3*t**3)*(3 - 6 + 4). -4*t**3 Expand 3*i - 3*i + 3*i + (0 + 1 - 3)*(4*i - 4*i - i) - 4*i - 3*i + 4*i. 2*i Expand (4 - 3 - 3)*(-7*c**2 + 9 - 9). 14*c**2 Expand (0 - 1 + 3)*(2*v + v - 2*v) - 6*v + 4*v + 7*v + (2 + 3 - 4)*(2*v + 1 - 1). 9*v Expand (4 - 1 - 1)*(v + v**3 - v) + 5*v**3 + 0*v**3 - 4*v**3 - 4*v**3 - v**3 + 6*v**3 + (0 - 4 + 0)*(-4*v**3 + 3*v**3 + 3*v**3). -4*v*
{ "pile_set_name": "DM Mathematics" }
n base 6, what is 144 + 1? 145 In base 4, what is -212 - 20? -232 In base 15, what is 9cb4 + -3? 9cb1 In base 9, what is -171 - -14? -156 In base 16, what is 2 - 3a? -38 In base 7, what is 4 - -1535? 1542 In base 9, what is -4350 - 2? -4352 In base 4, what is 1113 + 1? 1120 In base 9, what is 203 - 2? 201 In base 14, what is 6 - 19a8? -19a2 In base 5, what is 330 + -140? 140 In base 2, what is 1101000111 - -100? 1101001011 In base 9, what is 11 - 3585? -3574 In base 15, what is 3 + 1e7? 1ea In base 8, what is 0 - 105? -105 In base 13, what is -5 + 105? 100 In base 4, what is 1030 - 11? 1013 In base 2, what is -1011010 - -110? -1010100 In base 7, what is -5 - -325? 320 In base 10, what is -3 - -534? 531 In base 3, what is 120 - 111? 2 In base 15, what is -8 - -30? 27 In base 13, what is -b3 - -3? -b0 In base 10, what is 40 - 2? 38 In base 13, what is 2 + -3c? -3a In base 12, what is -12 - 494? -4a6 In base 3, what is -2 + -1011? -1020 In base 2, what is -100011100000 - -101? -100011011011 In base 12, what is -10 - 19? -29 In base 8, what is 0 - -251? 251 In base 5, what is -20422 - 10? -20432 In base 2, what is 10000000 - -101? 10000101 In base 2, what is -10 + -111011110? -111100000 In base 8, what is 31467 + 0? 31467 In base 11, what is 875 - -2? 877 In base 12, what is 3 - -64? 67 In base 4, what is -110230 - 11? -110301 In base 11, what is -1 + -62? -63 In base 9, what is 11 + -10? 1 In base 7, what is 30 - -11? 41 In base 15, what is -13 + -27? -3a In base 12, what is -8 + -ab? -b7 In base 8, what is -514 - 30? -544 In base 7, what is -3631 - 3? -3634 In base 2, what is -11011000111 + 10? -11011000101 In base 13, what is -3 + 88? 85 In base 10, what is -32 - 24? -56 In base 8, what is 64 - -72? 156 In base 9, what is -38 + 8? -30 In base 13, what is 21 - 4? 1a In base 11, what is 6 - 20? -15 In base 11, what is 766 - -2? 768 In base 15, what is -3e - 1? -40 In base 10, what is 4 - 153? -149 In base 3, what is -2 + 22012? 22010 In base 7, what is 1 - -125? 126 In base 10, what is -857 - 6? -863 In base 15, what is -e9 + 4? -e5 In base 15, what is -1b3 - -7? -1ab In base 2, what is 100001010100 + 1000? 100001011100 In base 8, what is -135 + 270? 133 In base 12, what is 235 + -2? 233 In base 7, what is 151400 + -5? 151362 In base 11, what is 3 - -85? 88 In base 11, what is -30 + 3? -28 In base 14, what is -10 + -23? -33 In base 3, what is -10 + 1202020? 1202010 In base 5, what is 1212 - -321? 2033 In base 13, what is 39 + 3? 3c In base 10, what is -3 - 942? -945 In base 8, what is -75 + -15? -112 In base 5, what is 2201 + -1? 2200 In base 7, what is -100 - 113? -213 In base 4, what is 20 - 1? 13 In base 12, what is 2b + -6a? -3b In base 12, what is -246 - -31? -215 In base 7, what is 4321 - -5? 4326 In base 14, what is b + -13? -6 In base 2, what is -101011 + -11? -101110 In base 12, what is b - 187? -178 In base 5, what is 1314 - 244? 1020 In base 15, what is -9b - -2? -99 In base 8, what is -11 + 70? 57 In base 9, what is -17 - 14? -32 In base 16, what is -4 - 6f? -73 In base 3, what is 22210101 - 1? 22210100 In base 5, what is 1 + 111303? 111304 In base 13, what is -4 + 39? 35 In base 6, what is 4 + -5305? -5301 In base 4, what is 122 + -110? 12 In base 16, what is -3 + b? 8 In base 14, what is -23dd + 0? -23dd In base 8, what is -22 - -3? -17 In base 10, what is 3 - -31? 34 In base 8, what is 7 - -4263? 4272 In base 16, what is -c - 7? -13 In base 13, what is 2 + -2a66? -2a64 In base 15, what is 0 - 16a? -16a In base 11, what is 159 + 3? 161 In base 15, what is 5 + 1092? 1097 In base 15, what is d + 26? 34 In base 9, what is 27 + 353? 381 In base 8, what is 12655 + 2? 12657 In base 6, what is 2 + -340? -334 In base 3, what is -12 - -12220? 12201 In base 4, what is 310 - 33? 211 In base 14, what is 3 - -98? 9b In base 11, what is -a - 336a? -3379 In base 5, what is -122 - 243? -420 In base 11, what is -1 - 2220? -2221 In base 7, what is -46 - -2? -44 In base 2, what is 0 + 100011100? 100011100 In base 15, what is 1 + a7? a8 In base 12, what is -35a + -24? -382 In base 10, what is -3536 - -2? -3534 In base 15, what is -403 + -2? -405 In base 8, what is -1 - 1236? -1237 In base 15, what is b + 20? 2b In base 2, what is 1111 - -11101001? 11111000 In base 6, what is 5 - -114? 123 In base 15, what is -3 - -28? 25 In base 8, what is 3 + -76? -73 In base 10, what is -39 + 2? -37 In base 12, what is 89 + -5? 84 In base 14, what is 213 + 39? 24c In base 13, what is -c0c + 4? -c08 In base 3, what is -1 + 221221? 221220 In base 12, what is 156 - -6? 160 In base 9, what is 1135 + -2? 1133 In base 2, what is -1011101011 + 10? -1011101001 In base 10, what is 110 + -2? 108 In base 2, what is 101 - 10010111000? -10010110011 In base 8, what is -10 - 136? -146 In base 14, what is -8 - dc? -106 In base 2, what is 1001000010 - -11? 1001000101 In base 5, what is -131 - 13? -144 In base 8, what is 0 - 2020? -2020 In base 13, what is -5 - -10c? 107 In base 5, what is -10310 - -4? -10301 In base 14, what is 1a + 0? 1a In base 13, what is -5 + -22? -27 In base 15, what is -18 - 52? -6a In base 5, what is 213 + -112? 101 In base 11, what is 15 - -142? 157 In base 15, what is -1378 - 5? -137d In base 13, what is 44 - -6? 4a In base 14, what is -1 + -a3? -a4 In base 3, what is 11222012 - -2? 11222021 In base 6, what is 5153 - -3? 5200 In base 2, what is -100 - 1000001010? -1000001110 In base 5, what is 140323 + -10? 140313 In base 5, what is -10433 - 4? -10442 In base 14, what is -5 - 22? -27 In base 8, what is -4 - -20? 14 In base 16, what is 19 - -1? 1a In base 11, what is -379 - -a? -36a In base 8, what is 16022 - 2? 16020 In base 4, what is -12 + 310? 232 In base 15, what is 6 + 245? 24b In base 6, what is 34 - 30? 4 In base 3, what is -1 + -200001? -200002 In base 11, what is 12a4 + 3? 12a7 In base 5, what is 12 + -24? -12 In base 8, what is 2 - -3115? 3117 In base 5, what is -4 - -131? 122 In base 2, what is 100 + 110100010? 110100110 In base 6, what is 1 + 3? 4 In base 10, what is -8444 + 3? -8441 In base 5, what is 124 + -424? -300 In base 13, what is 2 + -567? -565 In base 14, what is -16ad + 4? -16a9 In base 13, what is 52 + 3? 55 In base 5, what is -1 + 1001? 1000 In base 11, what is 45a - 4? 456 In base 13, what is -324 - 2? -326 In base 6, what is -2 + -14? -20 In base 13, what is 6c - -3? 72 In base 2, what is 101 - -101100011? 101101000 In base 16, what is -f + b2? a3 In base 5, what is -1 + -21? -22 In base 8, what is 2006 + 0? 2006 In base 11, what is 14 + -41? -28 In base 4, what is 310 + -1? 303 In base 14, what is -2a + 1a? -10 In base 13, what is c + 2? 11 In base 2, what is -10001 - -1? -10000 In base 4, what is 2113 + 10? 2123 In base 15, what is -2 - -3c2? 3c0 In base 4, what is 3 - -131100? 131103 In base 16, what is -3 - -27? 24 In base 5, what is -10 - -23332? 23322 In base 4, what is 201 - 30? 111 In base 10, what is 10 - -14? 24 In base 16, what is -c - 9? -15 In base 11, what is 146 - 7? 13a In base 13, what is -5 + 42? 3a In base 10, what is -865 + 0? -865 In base 9, what is 2 + 4452? 4454 In base 14, what is -4 + 2c? 28 In base 6, what is 455 - 0? 455 In base 11, what is 5 - -77? 81 In base 7, what is -403 - 13? -416 In base 3, what is -211 + 102011? 101100 In base 12, what is -1b + 2a8? 289 In base 15, what is 13 - 5c? -49 In base 8, what is -261 + -4? -265 In base 6, what is -22 - 14? -40 In base 12, what is -38 + 3? -35 In base 14, what is 24 + 2? 26 In base 14, what is 5 - 54? -4d In base 6, what is 413 - 3? 410 In base 8, what is -240 - 5? -245 In base 3, what is -2 - 21? -100 In base 3, what is -22 + -11000? -11022 In base 16, what is 1 + -2c? -2b In base 7, what is -16 + 123? 104 In base 4, what is 1200122 + 10? 1200132 In base 3, what is 11100 - 1220? 2110 In base 13, what is 24 + 1? 25 In base 4, what is -33201 + 11? -33130 In base 9, what is 2 + -1057? -1055 In base 13, what is -ab + 3? -a8 In base 4, what is 2101 - 1? 2100 In base 11, what is -496 - 3? -499 In base 7, what is 4 + -143? -136 In base 15, what is 0 + 61? 61 In base 2, what is 101011011 - 100? 101010111 In base 5, what is -11 - 310? -321 In base 9, what is -5 - -87? 82 In base 14, what is -7b81 + -3? -7b84 In base 16, what is -3 - 80? -83 In base 4, what is
{ "pile_set_name": "DM Mathematics" }
261*z + 3329. Calculate b(-247). -129 Let g(t) = -5227*t + 31536. What is g(6)? 174 Let u(a) = a**2 - 454*a - 16060. What is u(-33)? 11 Let h(r) = 2*r**2 + 730*r + 58329. Calculate h(-117). 297 Let h(d) = -d**2 - 1379*d - 471108. Give h(-624). 12 Let n(b) = -b**3 - 27*b**2 - 1193*b - 34214. Calculate n(-28). -26 Let v(c) = -4*c**2 - 410*c + 954806. Calculate v(440). 6 Let m(u) = 10*u**3 + 26*u**2 + 98*u + 15. Give m(-4). -601 Let c(p) = p**2 - 44378*p - 266303. What is c(-6)? 1 Let b(a) = a**3 + 507*a**2 + 696*a + 96088. Calculate b(-506). -52 Let t(b) = 23*b**2 + 1157*b + 2553. Calculate t(-48). 9 Let p(y) = 82*y**2 - 30*y - 19. Determine p(-1). 93 Let t(o) = 2*o**3 - 15*o**2 + 129*o - 636. Give t(6). 30 Let q(i) = 3*i**3 - 99*i**2 - 323*i - 25. Determine q(36). 11 Let w(y) = 4*y**2 + 191*y - 1101. Give w(-53). 12 Let r(a) = -3774*a + 656601. Determine r(174). -75 Let u(h) = 1168*h + 26822. Give u(-23). -42 Let v(l) = -2*l**2 - 2400*l - 466528. Calculate v(-244). 0 Let q(x) = 246*x + 8078. Give q(-34). -286 Let w(y) = -y**3 + 628*y**2 + 2522*y - 48. What is w(-4)? -24 Let t(w) = -5*w**2 - 969*w - 5322. Determine t(-188). 130 Let b(o) = -109*o**2 - 15151*o + 46440. Calculate b(3). 6 Let a(r) = -2*r**2 + 86*r - 903. Calculate a(18). -3 Let g(k) = 7*k**2 + 537*k - 796. Calculate g(-76). -1176 Let j(u) = 65*u - 41799. Calculate j(643). -4 Let g(k) = 1293*k**2 - 34916*k + 125. Give g(27). -10 Let m(h) = -77440*h - 39262074. Determine m(-507). 6 Let s(m) = 5920*m**2 - 53284*m + 42. What is s(9)? 6 Let p(o) = 7694*o + 1023304. What is p(-133)? 2 Let y(v) = 21*v**3 - 96*v**2 + 38*v + 51. What is y(1)? 14 Let z(t) = -t**3 + 29*t**2 + 45*t + 2667. What is z(33)? -204 Let x(n) = n**2 - 26*n + 378. Determine x(0). 378 Let n(b) = -12*b**3 - 385*b**2 - 13*b - 152. Calculate n(-32). -760 Let d(w) = 2142*w - 17122. Determine d(8). 14 Let a(o) = o**3 - 2*o**2 - 1088*o + 8597. Calculate a(8). 277 Let q(w) = w**2 - 21*w - 88. Determine q(36). 452 Let j(a) = -1085*a + 8916. Give j(8). 236 Let a(g) = 322*g - 3100. Determine a(9). -202 Let w(k) = -8*k**3 - 117*k**2 - 113*k - 2341. Calculate w(-15). 29 Let t(a) = 25*a**3 - a**2 + 39*a + 152. Determine t(-3). -649 Let i(m) = m**2 + 980*m - 17896. What is i(18)? 68 Let j(l) = 3757*l + 94272. Calculate j(-25). 347 Let u(o) = 63*o**2 + 202*o - 47. Give u(-3). -86 Let o(p) = -11*p**2 + 1856*p + 2410. Determine o(170). 30 Let d(r) = r**2 + 4*r - 4441. Calculate d(-68). -89 Let n(o) = 993*o + 11225. What is n(-11)? 302 Let g(x) = 7*x**2 - 1694*x + 13405. Give g(8). 301 Let p(f) = -f**3 + 877*f**2 + 85916*f + 56025. Give p(966). -3 Let w(i) = 4*i**2 - 515*i - 8305. Calculate w(-17). 1606 Let s(q) = -214071*q - 1070324. What is s(-5)? 31 Let y(a) = 20*a**3 + 98*a**2 - 65*a + 8. Determine y(-7). -1595 Let q(o) = -32370*o - 873968. Calculate q(-27). 22 Let q(d) = -5*d**3 + 409*d**2 - 196*d - 41925. Determine q(80). -5 Let k(x) = -x**3 + 391*x**2 - 12137*x - 340. Give k(357). 17 Let g(i) = i**3 - 17*i**2 + 40*i + 85. Determine g(5). -15 Let v(q) = 1142*q + 22352. Calculate v(-20). -488 Let q(o) = -19*o**2 + 497*o - 2390. Determine q(20). -50 Let j(o) = o**2 - 4049*o - 545. What is j(0)? -545 Let r(u) = -68*u**3 - 410*u**2 - u + 25. Give r(-6). -41 Let s(q) = q**3 + 12*q**2 - 44*q - 290. Calculate s(-14). -66 Let i(k) = -6*k**2 + 3095*k - 11653. Determine i(512). 123 Let i(r) = 13*r**2 + 1620*r - 76137. Give i(-161). 16 Let c(n) = 155546*n + 155523. Determine c(-1). -23 Let c(z) = 153*z + 2557. Give c(-17). -44 Let v(p) = p**3 + 92*p**2 + 212*p + 634. Determine v(-90). -2246 Let p(t) = -242602*t + 2911206. Determine p(12). -18 Let w(l) = -l**3 - 32*l**2 + 59*l - 149. What is w(-35)? 1461 Let p(w) = 49656*w - 108. Give p(0). -108 Let p(i) = -i**3 - 36*i**2 - 949*i - 31993. Determine p(-35). -3 Let p(u) = 7*u - 585. What is p(-111)? -1362 Let g(z) = 600*z - 4168. Give g(4). -1768 Let x(o) = o**2 + 13151*o - 91982. What is x(7)? 124 Let k(d) = 3470*d - 409451. What is k(118)? 9 Let t(r) = -8803*r - 35262. Calculate t(-4). -50 Let t(g) = 7*g**2 + 76*g + 144. What is t(-6)? -60 Let t(l) = -42359*l**2 + 42378*l + 1. Give t(1). 20 Let y(h) = 395*h**2 - 1567*h - 12. Give y(4). 40 Let v(h) = h**3 + 378*h**2 + 35714*h + 43071. Give v(-173). -6 Let n(r) = -29*r**3 - 1804*r**2 - 381*r - 554. Determine n(-62). 4 Let q(n) = n**3 + 144*n**2 + 1209*n + 317. Give q(-135). 1127 Let z(f) = -3038*f + 24299. Calculate z(8). -5 Let i(q) = q**3 + 21*q**2 - 306*q - 5330. Calculate i(-13). 0 Let f(r) = 2*r**3 - r**2 - 9781*r + 39112. Give f(4). 100 Let n(g) = 21758*g - 61888. Calculate n(3). 3386 Let x(z) = 1944*z + 229459. Calculate x(-118). 67 Let u(p) = -4*p**2 - 130*p + 540. What is u(-41)? -854 Let z(s) = -307*s - 32250. Calculate z(-108). 906 Let a(k) = -32*k - 2647. Give a(-84). 41 Let l(w) = w**2 + 1615*w + 22396. Determine l(-14). -18 Let v(a) = -7*a**3 - 472*a**2 - 219*a + 228. Calculate v(-67). 1434 Let h(f) = f**3 - 79*f**2 + 1521*f - 1600. Calculate h(48). -16 Let d(c) = -134*c + 73196. Determine d(546). 32 Let c(y) = -2860*y - 2099239. What is c(-734)? 1 Let m(t) = t**2 + 55*t - 110419. Calculate m(306). 47 Let c(h) = -3*h**2 + 1334*h + 6594. What is c(-5)? -151 Let k(n) = n**3 + 92*n**2 + 356*n - 935. Calculate k(-6). 25 Let q(u) = -3*u**3 - 1255*u**2 + 835*u - 1249. Give q(-419). 8 Let v(k) = k**2 - 5178*k + 72295. Determine v(14). -1 Let k(o) = -2*o**3 + 56*o**2 - 267*o - 100. Give k(21). 467 Let j(c) = 19*c**2 - 824*c + 290. What is j(43)? -11 Let x(b) = -215*b**2 + 29040*b - 2051. What is x(135)? -26 Let s(g) = -151*g**3 - 56*g**2 - 54*g + 3. Calculate s(-1). 152 Let v(m) = 776*m**2 + 7015*m + 267. Determine v(-9). -12 Let y(a) = 12*a**2 + 175*a + 2445. Calculate y(-15). 2520 Let f(m) = -m**3 - 16*m**2 - 48*m - 202. Determine f(-9). -337 Let v(p) = -146*p**2 - 30505*p + 1960. What is v(-209)? 79 Let l(p) = 387*p + 14300. Calculate l(-37). -19 Let t(z) = 14283*z + 114250. Give t(-8). -14 Let v(h) = 11*h**3 - 628*h**2 + 40*h + 980. Give v(57). 11 Let l(p) = 8*p**2 + 247*p + 1252. Calculate l(-8). -212 Let g(n) = -21*n**2 + 26*n - 183. Determine g(5). -578 Let g(v) = -v**3 - 14*v**2 - 93*v - 1434. Give g(-16). 566 Let l(u) = 494*u + 3182. Calculate l(-8). -770 Let f(s) = -5593*s**2 - 206936*s + 195. What is f(-37)? 10 Let q(b) = -b**2 - 455*b + 129274. Give q(198). -20 Let p(z) = -71*z + 4995. Calculate p(70). 25 Let r(k) = -312*k - 24840. Give r(-80). 120 Let h(l) = -l**3 + 153*l**2 - 3500*l + 63. Give h(125). 63 Let j(a) = 3*a**3 + 19*a**2 + 52*a + 52. Give j(-2). 0 Let z(i) = 93*i**2 - 211*i + 9. What is z(2)? -41 Let w(n) = -8*n**3 + 733*n**2 + 307*n - 537. Give w(92). 2315 Let b(n) = 9474*n - 1620055. What is b(171)? -1 Let i(h) = -4132*h - 136047. What is i(-33)? 309 Let g(v) = -v**2 - 31756*v + 3121681. Calculate g(98). -11 Let c(h) = -h**2 + 32875*h + 230191. Determine c(-7). 17 Let w(y) = 132*y**2 + 2641*y - 5806. Give w(2). 4 Let o(g) = -29558*g + 945810. Determine o(32). -46 Let i(o) = -30473*o + 1218888. What is i(40)? -32 Let m(t) = 37*t + 962. What is m(32)? 2146 Let w(x) = -x**3 - 120*x**2 - 3860*x - 17385. Calculate w(-51). 6 Let v(f) = -3220*f + 28957. Determine v(9). -23 Let j(k) = 412*k**2 + 3527*k - 117. Determine j(-8). -1965 Let s(r) = -4099*r - 24071. Calculate s(-6). 523 Let q(o) = 2*o**3 + 523*o**2 - 329*o - 17557. Determine q(-262). -3 Let s(h) = 88034*h + 264068. Determine s(-3). -34 Let t(d) = -46*d**3 + 149*d**2 + 1757*d - 48. Calculate t(8). -8 Let h(y) = y**2 + 63*y - 5417. Give h(46). -403 Let p(j) = -2426*j - 1724906. What is p(-711)? -20 Let o(f) = 94*f**2 - 8735*f - 9473. Determine o(94). 21 Let n(l) = -864*l - 9066. Give n(-12). 1302 Let g(k) = k**3 + 131*k**2 + 849*k + 11. Calculate g(-7). 144 Let m(i) = -2*i**2 + 593*i - 13048. What is m(24)? 32 Let z(a) = 433*a - 6979. What is z(16)? -51 Let n(q) = 3*q**3 - 101*q**2 + 578*q + 63. What is n(26)? -457 Let x(t) = 744*t - 11780. Calculate x(19). 2356 Let r(j) = -j**2 + j - 100. Calculate r(-7). -156 Let p(t) = -2614258*t + 33985340. Calculate p(13). -14 Let o(g) = -6*g**2 - 107*g - 461. Determine o(-15). -206 Let m(z) = 10*z**2 - 422*z - 196. Give m(35). -2716 Let c(l) = 9*l**2 + 384*l + 2307. What is c(-35)? -108 Let a(s) = 8025749*s - 104334733
{ "pile_set_name": "DM Mathematics" }
+ -9. Let k = 53 - 47. Let f be ((-3)/8)/(k/4). What is the nearest to 0 in f, x, -3/2? f Let n = 2.41 + -53.41. Let k = 1783.04 + -1732. Let j = k + n. Which is the nearest to 1/4? (a) 1 (b) -4 (c) j c Let k = 11 - 9. Let y be 9/(9/k) - -10. Suppose 4*p + 0*p + y = 0. What is the closest to 2/7 in -4, -1, p? -1 Suppose 2*j - 4*o + 4 = 6*j, 3*j = 2*o - 12. Let y be 128/36 + j + 6/(-27). Which is the closest to 389? (a) y (b) 2 (c) 0.4 (d) -3 b Let r = -609.5 + 609.8. Which is the closest to r? (a) -0.1 (b) 4/9 (c) -3 (d) 51 b Let z = 18 + -17. Let t = 6501 - 6506. Which is the nearest to -18? (a) t (b) z (c) -3/7 a Let x = -1908.7 - -1905.7. Let s be ((-2)/(-40))/((-70)/(-772)). Let w = -12/25 + s. Which is the nearest to w? (a) 4 (b) 0.1 (c) x b Let g = -205/3 - -69. Suppose -17*s = -15*s. Let m be ((3 - s) + -3)/(0 - 1). Which is the nearest to g? (a) -3/5 (b) 0.05 (c) m b Let t = 11 + -15. Let z = 1 - -24. Let l = 24.97 - z. What is the closest to -1 in 5, l, t? l Let s = 1938 + -1938.1. What is the nearest to -2.1 in 0.2, s, 5, 0? s Let v = 7864 + -7869. What is the nearest to 0.1 in 5, 3, v, 3/2? 3/2 Let x = 0.03 - -0.27. Let h = -2.9 + 3. Let g = -9599 + 9602. Which is the nearest to 1? (a) x (b) g (c) h a Let i be 0/(-7) - (-2)/110. Suppose 168 - 304 = -83*z + 30. What is the closest to z in -4, i, 2, 3? 2 Let s be (-2 + 0)*(-2)/(-22). Let g be (5525/(-91) - -63)*14/8. What is the closest to -0.4 in 6, s, g, 3/5? s Let s be (2/(0 + -1))/((-158)/237). Suppose -2*u + 7*u = 3*w + 1, -5*u - s*w = -19. Which is the closest to -4? (a) u (b) -0.9 (c) -2 c Let h = -4.87467 - 0.12533. Which is the nearest to 5/4? (a) 5 (b) -3/4 (c) h (d) -0.1 d Let p = 0.00841 + 0.99159. What is the nearest to p in -31, -3, -2/19? -2/19 Let m be (6/((-36)/6))/(26/(-216)). Let q = m - 661/78. Let b = 13/115 - -2/23. What is the nearest to q in b, 3, -2/9? -2/9 Let u = -2943 + 2949. What is the closest to 2/7 in u, -0.3, -3, -1? -0.3 Let q be (1/4)/(26/(-16)). Let z = -0.7 - 0.3. Let o be (17/(1326/104))/(10/3). Which is the closest to o? (a) z (b) 3 (c) q c Suppose -27*n - 7 = -1 - 33. What is the nearest to -0.13 in -1, 0.1, n? 0.1 Let u = -0.14 - 0.16. Let k = 78.74 - 80.74. Which is the nearest to 14? (a) u (b) -0.5 (c) k a Let r = 169.076 - -1.624. Let n = 18.7 - r. Which is the nearest to -1? (a) -1/3 (b) 4 (c) n a Let q = -1 + 0.9. Let x = -4133.969 + 4136. Let h = x - 0.031. Which is the nearest to -0.1? (a) 0 (b) h (c) q c Let a = 0.6 + -1.2. Let l = 446811 - 446810.9. What is the nearest to l in -0.08, 2, a? -0.08 Let y = -2072.8 - -2073. Let l = -0.7 + 0.2. Let c = -13.5 - -13.2. What is the nearest to l in y, c, -0.4? -0.4 Let y = 0.3 + -4.3. Let i = 23002 + -23001.5. Which is the nearest to 1? (a) -0.3 (b) i (c) y b Suppose 0 = -2*l - 6, -2*f = -5*l - 12 - 15. Suppose -f*o + 8*o + 3*z + 11 = 0, 5*o + 4*z + 10 = 0. Which is the closest to 3? (a) 3 (b) o (c) 3/2 a Let f be ((-96)/8 - -8)*21/126. What is the closest to f in -5, -26, 59? -5 Let t = -24.841 - -24.841. Which is the closest to t? (a) -0.25 (b) -0.1 (c) 34 b Let g = 5148 + -5148. Which is the nearest to g? (a) 126 (b) -0.2 (c) -4 b Let o = 1.4 - 1.5. Let t = -22.4 - -7.7. Let q = 15 + t. Which is the closest to 3/2? (a) q (b) 1/2 (c) o b Let a = 0.91 + 10.89. Let l = a + -1.8. Let w = 1.44477 - 1.04477. What is the nearest to 1/2 in -2/11, l, w? w Let t(j) = -j**3 + 21*j**2 - 100*j + 48. Let i be t(14). What is the closest to -1 in -4, 1/3, i, 0.2? 0.2 Let g = 337 - 283. Let j = g + -55. Which is the nearest to -2/5? (a) 4 (b) j (c) -0.04 c Suppose 2*o + 2*i + 19 = 11, -5*o + 3*i = -20. Let y = -2.4 - -3.4. Which is the nearest to o? (a) 5 (b) -1 (c) y c Let v = -41986/15 - -12572/5. Let p = v - -285. What is the closest to 0.1 in -0.2, -34, p? p Let s = -874 + 874.1. Let d = 1/111 - -211/1221. What is the closest to s in -5, 1, d? d Let b = 9 - 13. Let t = 2411 - 2408. What is the nearest to -0.3 in -2, b, t? -2 Let h = -565 + 1148. Let z = -578 + h. What is the nearest to -0.1 in -2/11, z, 3/4, -2/7? -2/11 Let z be (13 + -12)/(30/60). What is the closest to z in -5, -0.5, -0.325, -2? -0.325 Let u = 306 - 177. Let v = u - 98.5. Let s = 31 - v. What is the nearest to -2 in s, 0.4, 0.04? 0.04 Let q = 0.3 - -1.7. Let w = 3.63 - -171.37. Let h = w + -171. Which is the closest to q? (a) h (b) 3 (c) -0.1 b Let k = 27 + -26.8. Suppose -3*q = -8*q - 5*p - 5, -2*p + 1 = q. Which is the closest to k? (a) -6/11 (b) -0.5 (c) q b Let j = -28/149 + 205/298. Which is the nearest to j? (a) 0 (b) 5 (c) 21 (d) -5 a Let h = -73/5 - -14. Let l = -827/11 - -75. Let n be 140/1197 + (-4)/(-38). What is the nearest to n in l, 0.02, h? 0.02 Let t = -833.13 - -833. Let u = t + -0.47. Which is the nearest to u? (a) -1/3 (b) 6/11 (c) -0.4 (d) -2/7 c Let l = -150.80146 - 0.19854. What is the closest to -0.2 in -0.2, -2/21, l? -0.2 Let w = -0.117 - -99.117. Let r = 101 + -1. Let x = r - w. Which is the closest to -1? (a) 0.2 (b) -2/3 (c) x b Let o = -37/30 - -49/30. Which is the closest to 39? (a) 2/7 (b) 5 (c) o (d) -1/2 b Let g = -1515.8 - -1325. Let k = -191 - g. What is the closest to k in -3, 6, -4? -3 Let p = -0.11519 - -0.01519. What is the closest to 3/5 in 150, 1, p? 1 Let r = -140 + 142. Let a = r + -4. What is the closest to -0.2 in -3, 4, a? a Let u be 20/(-54)*(-468)/780. What is the closest to u in 1/12, -4, -1.2? 1/12 Let y(w) be the first derivative of w**4/4 + 7*w**3 + 21*w**2/2 + 21*w + 36. Let i be y(-20). Let d = 4/7 + -1/7. What is the closest to i in 0.2, d, 2/15? d Let s be 4 - 1/(-3)*-3. Let k be 5/20*(s + -2). Let h = 2191 - 2187. Which is the nearest to k? (a) -4 (b) h (c) -0.2 c Let m = 4420 - 4417. What is the nearest to -2/9 in 0.2, m, -4, 2/53? 2/53 Let y = 0.146 + -2.706. Let i = y + 2.76. What is the nearest to -0.1 in -13, i, 5? i Let w = -11.32 - -11.42. Let p = -62 - -249/4. What is the closest to p in 3, -38, w? w Let d = -0.7 - -0.5. Let a = -8.73 + 9.13. What is the nearest to 2/3 in -1, d, a? a Let x = -87.148 + 0.148. Let m = 140 + x. Let s = -52.5 + m. What is the nearest to -2/5 in s, -4, 1? s Let l(k) = k**2 + 135*k - 1300. Let n be l(-144). Which is the closest to n? (a) -1 (b) 0.031 (c) -0.5 a Let g be 1 - -1 - 1*17. Let q be (-6)/g + (0 - 0). Let k = 2176 - 2176. Which is the closest to k? (a) q (b) 3 (c) -5 a Let h = -509 - -510. What is the nearest to -2/11 in 5, h, 0.35? 0.35 Let x = 8481/4 + -2120. What is the nearest to -1/3 in 2, 1, 36, x? x Let g be (1/5)/(5 + 416/(-80)). What is the closest to -48/11 in -3, g, -0.04, -0.2? -3 Let x = 33042 - 33051. Let j be 1*(1*-7 - -2). Which is the closest to 2/9? (a) -0.2 (b) x (c) j a Let f = 14.04 + -14. Suppose 5*d - 2*v = 11, 2*d + 47*v - 43*v + 34 = 0. What is the closest to f in 3, 5, d? d Let i be 16/(-16)*(1 + -1). Suppose -5*x + 8*x + 15 = 2*k, k - 2*x - 9 = i. Which is the nearest to -1/2? (a) 7 (b) k (c) -2/5 c Let n = 38371 + -38357. Which is the nearest to n? (a) -5 (b) -1 (c) 3 (d) -13 c Let p = 3.65 + -0.65. Let k be (-8)/3*1/4. Let m be 8 - 204/15 - -6. What is the nearest to k in m, p, 5? m Let m = 1895 - 1894. What is the nearest to -1/4 in m, 3, -279? m Let i(l) = -l**3 - 8*l**2 - 3*l - 19. Let u = 252 + -260. Let g be i(u). What is the nearest to -0.3 in 0.2, -1/3, g? -1/3 Let r(l) = -l**2 + 2*l + 8. Let b be r(14). Let z = b + 1123/7. Let f = -332/489 - -2/163. What is the nearest to -0.1 in f, -1, z? z Let v(g) = -g + 3. Let x be v(2). Let k be -7 + 1 + (-2)/(-2). Let i = -3.7 - -3.4. What is the nearest to x in -4, k, i? i Let i = -21206.2 + 21206. Which is the closest to -111/8? (a) 0.3 (b) 9 (c) i c Let t = -350.6 + 345.6. Which is the closest to 0? (a) -3/7 (b) t (c) -2/5 (d) 10 c Let b = 3.25 - 3. Let w = -2.202 + -0.548. Let r = b - w. What is the nearest to 3 in r, 0.5, -3? r Let i = 1785 + -7139/4. Let y = 11 - 6. Let f = -229/635 - 5/127. What is the nearest to -3 in i, y, f? f Let h = 1.4 + -1. Let q = -32.78 - 201.12. Let f = -234 - q. What is the closest to 3 in h, 0.3, f? h Let d be (-132)/(-90) - 20/150. What is the nearest to -0.1 in -0.05, 3, d, 28? -0.05 Let f = 0.7676 + -0.7676.
{ "pile_set_name": "DM Mathematics" }
2/3 - 8*z/3. -2*z*(z - 2)*(z - 1)*(z + 2)/3 Find k such that -k**3 + 110*k**2 - 3417*k + 20808 = 0. 8, 51 Solve 8*g**4/5 - 214*g**3/5 - 62*g**2/5 + 214*g/5 + 54/5 = 0. -1, -1/4, 1, 27 Factor -5*a**5 - 55*a**4 - 240*a**3 - 520*a**2 - 560*a - 240. -5*(a + 2)**4*(a + 3) Solve -12*j**4/11 - 86*j**3/11 - 186*j**2/11 - 90*j/11 + 54/11 = 0 for j. -3, -3/2, 1/3 Solve -3*t**5 + 561*t**4/5 - 177*t**3/5 - 1653*t**2/5 - 456*t/5 + 444/5 = 0 for t. -1, 2/5, 2, 37 Solve 125*w**5 + 225*w**4 - 405*w**3 + 135*w**2 = 0 for w. -3, 0, 3/5 Factor -12*i**2 - 9560*i - 6368. -4*(i + 796)*(3*i + 2) Factor s**2/3 - s - 4/3. (s - 4)*(s + 1)/3 Factor -3*l**4/5 - 6*l**3/5 + 3*l**2/5 + 6*l/5. -3*l*(l - 1)*(l + 1)*(l + 2)/5 Let c**2 + 16*c - 17 = 0. Calculate c. -17, 1 Let 2*v**2/9 + 74*v/9 + 8 = 0. Calculate v. -36, -1 Factor 3*g**2/7 - 6*g - 96/7. 3*(g - 16)*(g + 2)/7 Determine t, given that 5*t**5 - 10*t**4 - 15*t**3 + 40*t**2 - 20*t = 0. -2, 0, 1, 2 Let -2*s**5/15 + 8*s**4/15 + 2*s**3/5 - 28*s**2/15 + 16*s/15 = 0. Calculate s. -2, 0, 1, 4 Let 3*b**4 + 114*b**3 + 1287*b**2 + 3876*b + 3468 = 0. Calculate b. -17, -2 What is m in -36*m**4 - 120*m**3 - 109*m**2 - 27*m - 2 = 0? -2, -1, -1/6 Suppose -3*k**4 - 147*k**3 - 552*k**2 - 540*k = 0. What is k? -45, -2, 0 Suppose 2*c**5/3 - 11*c**4/3 + 10*c**3/3 + 35*c**2/3 - 24*c + 12 = 0. What is c? -2, 1, 3/2, 2, 3 Factor 3*q**4 - 6*q**2 + 3. 3*(q - 1)**2*(q + 1)**2 Factor z**2 - 42*z + 80. (z - 40)*(z - 2) Factor -3*r**2 - 21*r + 234. -3*(r - 6)*(r + 13) Factor i**2/8 + 173*i/4 + 29929/8. (i + 173)**2/8 Let 3*d**2 + 132*d - 276 = 0. What is d? -46, 2 Let -2*q**2/9 - 7148*q/9 + 7150/9 = 0. Calculate q. -3575, 1 Factor -p**2 - 13*p - 36. -(p + 4)*(p + 9) Let 4*f**2 - 100*f - 216 = 0. What is f? -2, 27 Suppose -10*h**4 - 298*h**3 - 3868*h**2/5 - 2392*h/5 - 432/5 = 0. What is h? -27, -2, -2/5 Find b, given that 2*b**2/7 - 928*b/7 = 0. 0, 464 Determine s, given that -4*s**2 - 1264*s - 2512 = 0. -314, -2 Factor d**5 - 10*d**4 + 12*d**3 + 72*d**2. d**2*(d - 6)**2*(d + 2) Let 3*u**4 - 324*u**3 - 1683*u**2 - 1356*u = 0. What is u? -4, -1, 0, 113 Factor 2*t**2/13 - 38*t/13 - 40/13. 2*(t - 20)*(t + 1)/13 Factor 3*i**5/2 - 141*i**4/2 + 1857*i**3/2 - 4755*i**2/2 + 2244*i - 726. 3*(i - 22)**2*(i - 1)**3/2 Solve -294*l**5/17 + 364*l**4/17 + 158*l**3/17 - 348*l**2/17 + 8*l - 16/17 = 0 for l. -1, 2/7, 2/3, 1 Determine a so that -5*a**4 - 145*a**3 - 690*a**2 = 0. -23, -6, 0 Let -15*f**4 - 84*f**3 - 45*f**2 = 0. What is f? -5, -3/5, 0 Suppose -3*b**3/5 - 6*b**2/5 + 3*b/5 + 6/5 = 0. What is b? -2, -1, 1 Solve -3*l**2/7 - 1500*l/7 + 864 = 0. -504, 4 Let r**3/2 + r**2 - 5*r/2 - 3 = 0. Calculate r. -3, -1, 2 Factor j**2 - 166*j. j*(j - 166) Suppose -3*c**2 + 39*c + 42 = 0. Calculate c. -1, 14 Factor -m**4 - 2*m**3 + 8*m**2 + 18*m + 9. -(m - 3)*(m + 1)**2*(m + 3) Let -r**3/6 - 5*r**2/3 + 16*r = 0. Calculate r. -16, 0, 6 Find l, given that l**4 + 15*l**3/2 + 23*l**2/2 - 15*l/2 - 25/2 = 0. -5, -5/2, -1, 1 Factor -43*j**3/6 + 91*j**2/6 + 119*j/6 - 5/2. -(j - 3)*(j + 1)*(43*j - 5)/6 Factor 3*r**4 + 183*r**3 - 1170*r**2 + 2388*r - 1608. 3*(r - 2)**3*(r + 67) Suppose -2*d**4/5 - 72*d**3/5 + 342*d**2/5 + 892*d/5 + 96 = 0. What is d? -40, -1, 6 Let 3*f**4 - 24*f**3 - 216*f**2 - 480*f - 336 = 0. Calculate f. -2, 14 Solve 2*v**2 - 44*v - 816 = 0 for v. -12, 34 Find u, given that -u**4/5 + 24*u**3/5 + 3*u**2/5 - 14*u - 48/5 = 0. -1, 2, 24 Factor r**2/2 + 14*r + 27/2. (r + 1)*(r + 27)/2 Let -4*u**4 + 532*u**3 - 17944*u**2 + 16368*u + 34848 = 0. What is u? -1, 2, 66 Factor k**4/4 - 23*k**3/4 + 141*k**2/4 - 77*k/4 - 121/2. (k - 11)**2*(k - 2)*(k + 1)/4 Determine p so that 2*p**5/11 - 128*p**4/11 - 2*p**3/11 + 128*p**2/11 = 0. -1, 0, 1, 64 Factor -2*o**3/19 + 686*o**2/19 - 57072*o/19 - 302760/19. -2*(o - 174)**2*(o + 5)/19 Find s such that -7*s**4 + 54*s**3 - 75*s**2 + 16*s + 12 = 0. -2/7, 1, 6 Determine q so that -2*q**2 + 16*q + 306 = 0. -9, 17 Let b**3 - 817*b**2 + 166463*b + 167281 = 0. Calculate b. -1, 409 Solve -5*d**5 - 10*d**4 + 5*d**3 + 10*d**2 = 0 for d. -2, -1, 0, 1 Suppose -3*r**2/2 + 981*r - 1959/2 = 0. Calculate r. 1, 653 Factor -8*n**2 + 442*n - 110. -2*(n - 55)*(4*n - 1) Determine o so that -4*o**4/7 - 64*o**3/7 - 272*o**2/7 + 64*o/7 + 1536/7 = 0. -8, -6, -4, 2 Determine g so that 6*g**5/11 - 38*g**4/11 + 78*g**3/11 - 58*g**2/11 + 12*g/11 = 0. 0, 1/3, 1, 2, 3 Solve -l**2/4 - 15*l/2 - 225/4 = 0. -15 Factor -3*y**2/7 + 45930*y/7 - 175797075/7. -3*(y - 7655)**2/7 Solve -450*z**2/13 + 120*z - 104 = 0 for z. 26/15 Determine o, given that -o**5/4 + 53*o**4/4 - 60*o**3 = 0. 0, 5, 48 Suppose w**3 - 7*w**2 - 10*w + 16 = 0. Calculate w. -2, 1, 8 Find w such that 98*w**5 - 42*w**4 - 1616*w**3 - 2864*w**2 - 1248*w - 160 = 0. -2, -2/7, 5 Let g**2/5 - 19*g/5 - 42/5 = 0. What is g? -2, 21 Factor -2*q**2/7 + 18*q/7 + 32. -2*(q - 16)*(q + 7)/7 Factor q**3/4 + 5*q**2/4 - 2*q - 12. (q - 3)*(q + 4)**2/4 Solve -3*m**5 + 204*m**4 + 9*m**3 - 606*m**2 - 408*m = 0. -1, 0, 2, 68 Factor -3*s**2 - 3540*s - 1044300. -3*(s + 590)**2 Factor 3*a**3 - 162*a**2 + 612*a - 600. 3*(a - 50)*(a - 2)**2 What is l in -20*l**5/3 + 92*l**4/3 + 220*l**3 + 1108*l**2/3 + 704*l/3 + 48 = 0? -2, -1, -2/5, 9 Factor 48050*z**2/7 - 1240*z/7 + 8/7. 2*(155*z - 2)**2/7 Factor 2*x**5 - 18*x**4 - 6*x**3 + 50*x**2 + 36*x. 2*x*(x - 9)*(x - 2)*(x + 1)**2 Factor -f**3 - 37*f**2 + 1952*f - 17664. -(f - 16)**2*(f + 69) Factor l**5 + 5*l**4 + 4*l**3. l**3*(l + 1)*(l + 4) Determine n, given that -n**4 - 14*n**3/5 + 72*n**2/5 - 82*n/5 + 29/5 = 0. -29/5, 1 Factor 27*h**2 + 480*h - 108. 3*(h + 18)*(9*h - 2) Find m, given that -m**3 - 262*m**2 + 263*m = 0. -263, 0, 1 Solve -15*o**3 + 3130*o**2 - 164320*o + 108160 = 0. 2/3, 104 Factor 4*a**5/5 + 64*a**4/5 + 312*a**3/5 + 592*a**2/5 + 484*a/5 + 144/5. 4*(a + 1)**3*(a + 4)*(a + 9)/5 Factor -3*g**3 + 567*g**2 - 1674*g. -3*g*(g - 186)*(g - 3) What is n in 4*n**3 - 4*n**2 - 208*n + 640 = 0? -8, 4, 5 Factor -2*h**3/7 - 40*h**2/7 - 250*h/7 - 500/7. -2*(h + 5)**2*(h + 10)/7 Factor 2*r**2 - 42*r + 108. 2*(r - 18)*(r - 3) Suppose 3*a**3/5 - 93*a**2/5 + 18*a = 0. What is a? 0, 1, 30 Factor -5*v**3/4 + 25*v**2 - 125*v. -5*v*(v - 10)**2/4 Solve -3*j**5/4 + 3*j**4/4 + 15*j**3/2 - 15*j**2/2 - 27*j/4 + 27/4 = 0. -3, -1, 1, 3 Factor 9*v**2 + 1407*v + 468. 3*(v + 156)*(3*v + 1) Factor -5*b**2 + 880*b - 38720. -5*(b - 88)**2 Factor -5*s**3 + 720*s**2 - 1425*s + 710. -5*(s - 142)*(s - 1)**2 Suppose -g**5/5 - 31*g**4/5 - 251*g**3/5 - 101*g**2/5 + 204*g + 180 = 0. What is g? -15, -2, -1, 2 Factor -86*k**4/9 + 46*k**3/9. -2*k**3*(43*k - 23)/9 Factor -4*m**3 + 492*m**2 - 972*m + 484. -4*(m - 121)*(m - 1)**2 Find p such that -2*p**2/13 + 952*p/13 - 1896/13 = 0. 2, 474 Factor z**2 - 4*z. z*(z - 4) Let -2*m**5 + 6*m**4 + 2*m**3 - 6*m**2 = 0. Calculate m. -1, 0, 1, 3 Determine t, given that -t**3/3 + 14*t**2 - 80*t/3 = 0. 0, 2, 40 Solve -2*m**2/19 + 118*m/19 + 244/19 = 0. -2, 61 Find o, given that 10*o**2 + 125*o = 0. -25/2, 0 Find q, given that -12*q**2/7 + 556*q/7 + 376/7 = 0. -2/3, 47 Find a such that 3*a**5/4 - 9*a**4/4 - 15*a**3/2 - 3*a**2/2 + 27*a/4 + 15/4 = 0. -1, 1, 5 What is u in -3*u**3 - 3*u**2 + 48*u + 48 = 0? -4, -1, 4 What is a in -a**4/4 - 5*a**3 + 55*a**2/4 + 115*a/2 - 66 = 0? -22, -3, 1, 4 Factor -j**2/4 - 189*j/4 + 485/2. -(j - 5)*(j + 194)/4 Factor z**4/7 + 10*z**3 + 456*z**2/7 + 954*z/7 + 81. (z + 1)*(z + 3)**2*(z + 63)/7 Solve -j**5 + 5*j**4/3 + 5*j**3/3 - 5*j**2/3 - 2*j/3 = 0. -1, -1/3, 0, 1, 2 Factor -5*s**2 - 30*s + 80. -5*(s - 2)*(s + 8) Solve -3*d**3/7 + 39*d**2 - 2040*d/7 + 3984/7 = 0 for d. 4, 83 Factor -a**2/2 - 19*a/2 - 39. -(a + 6)*(a + 13)/2 Suppose 3*z**3/8 - 33*z**2/8 - 135*z/2 = 0. What is z? -9, 0, 20 Factor 52*g**2 - 3856*g + 592. 4*(g - 74)*(13*g - 2) Find q, given that -2*q**4/7 + 18*q**3/7 + 30*q**2/7 - 106*q/7 + 60/7 = 0. -3, 1, 10 Solve 7*w**3 - 20*w**2 + 11*w + 2 = 0. -1/7, 1, 2 Factor 3*l**3 - 51*l**2 - 252*l. 3*l*(l - 21)*(l + 4) Determine o so that 6*o**3 - 38*o**2 - 30*o + 14 = 0. -1, 1/3, 7 Determine u, given that -4*u**2/3 + 52*u/3 - 16 = 0. 1, 12 Let 49*h**5/3 + 14*h**4/3 - 146*h**3/3 + 56*h**2/3 + 25*h/3 + 2/3 = 0. Calculate h. -2, -1/7, 1 Factor 3*u**2 + 15*u - 72. 3*(u - 3)*(u + 8) Factor t**3/5 + 2*t**2/5 + t/5. t*(t + 1)**2/5 Solve 2*o**4 - 2*
{ "pile_set_name": "DM Mathematics" }
Let f = 44 + -44. Solve -2*c - m + 7 = 0, f*m - 6 = -c - m for c. 1 Suppose 30 = 5*m - 110. Solve 3*z - m = 5*b, -4 = 3*z - b - 12 for z. 1 Let h = 12 - 7. Let f(t) = t**2 + 4. Let s be f(0). Let u = s - 2. Solve -4 = u*d + h*l, -d + 2*l + 1 = -2*d for d. 3 Let c be (-1 - -2)*50/2. Let f be 12/(-3)*c/4. Let n = -5 - f. Solve j + 4*j = d - n, 0 = 3*d for j. -4 Let l(z) = z**2 + 8*z + 10. Let k be l(-7). Solve a - 13 = -3*h, -h = -k*h - 2*a + 10 for h. 4 Suppose -3*v - 4*n - 10 = 0, -4*v + 26 = -4*n + 2. Solve 5*b = v*f + 10, 4 = -5*b + 24 for f. 5 Suppose -n = -5 - 3. Let g(c) = c**3 + 9*c**2 + 10*c - 2. Let b be g(-7). Solve -5*k + b = -3*v + v, 4*v = -k - n for v. -3 Suppose -o - o = -8, 5*q + 3*o - 22 = 0. Suppose -4*i + 2*v = 70, 2*i + 15 = i + v. Let a be i/(-6) + q/(-6). Solve 4*w + 3*g = -3 + 9, 3*w + 3*g = a for w. 3 Let u be (-66)/(-14) + (-8)/(-28). Suppose -7 = -u*y + 13. Let h = -14 - -21. Solve -2*o + y = -4*m, 4*m - o - 3 + h = 0 for m. -1 Suppose 0 = 5*b - 9 - 16. Let x be 10/(b + 1 + -4). Solve 0*f + 4*z = -x*f - 5, f + z = 0 for f. -5 Suppose 2*q - 12 = 4*q + 4*f, -2*q - 12 = 5*f. Let h = q + 11. Solve y + h*c = -24, 6 + 6 = 2*y - 5*c for y. -4 Let l(c) = -4*c - 16. Let h(d) = -d. Let g(r) = 5*h(r) - l(r). Let z = 9 - 9. Let q be g(z). Solve v = i + 3, -q + 4 = -3*v for i. 1 Let q(b) = -b**3 + 12*b**2 + b - 9. Let c be q(12). Solve -3*j = -c*z - 18, -4*j = 4*z - 5*z - 12 for j. 2 Suppose p - 2*p + 5 = 0. Solve -p*w - 2*i - 20 = 0, 0*w - 2*w - 3*i = 8 for w. -4 Let k be (-2 - -4)*(-3 - -1). Let h be (4/5)/(k/(-100)). Solve h = 5*f - u - 2, -f - 4*u + 17 = 0 for f. 5 Let c(b) = -b**3 - 7*b**2 - 6*b. Let g be c(-6). Suppose -2*h + 4*m - 12 = -4, 0 = 3*h + 5*m - 21. Let z = 8 - -2. Solve -h*s = -a - z, -5*a + g - 6 = s for s. 4 Let s be 0 - 2 - 60/(-4). Suppose -s = 2*q - 3*q. Let b = q + -9. Solve -5*n + b - 1 = -x, x + 3 = -3*n for x. -3 Let m be 4 + 3/(-6)*-2. Solve 0 = 4*j - 20, m*w - 4*j + 5 = -j for w. 2 Suppose -2 = s - 0*p + 4*p, 0 = -s + 3*p + 5. Suppose s*j = -3*y + 6*y - 22, 3*j = 3*y - 24. Solve 5*k + 10 = -o - 2*o, -3*o = -3*k - y for o. 0 Let j be -1 + (3*-2)/(-2). Let g = -17 - -7. Let d = -6 - g. Solve -4*n - d*p = -12, j*p + 0*p = -4 for n. 5 Let w = 19 + -17. Solve w*d + 16 - 5 = 5*n, 2*n - 14 = 4*d for n. 1 Let k = 8 + 1. Suppose 4*r - 7*w + k = -2*w, -2*r + 2*w = 6. Let n be (-6 - r) + 18/2. Solve -24 = -5*s + 2*m, -3*s + 4*m = -n - 11 for s. 4 Let d be 27/12 - 8/32. Solve 0*v = d*j + 5*v + 11, -3*j = 4*v + 13 for j. -3 Suppose 7 - 4 = -2*r - m, 4*r - 9 = 3*m. Solve w + 3 = 2*i, 5*i = -r*i for w. -3 Suppose 0 = -3*s - 0*z - 5*z + 34, 26 = 2*s + 4*z. Suppose -2*u + 0*u + 42 = 0. Let r be 15/10*20/6. Solve s*j - r*m = 27, 3*j - m - 2*m - u = 0 for j. 4 Let a(w) = -5*w + w + 0 - 1 + 3*w. Let m be a(-4). Solve p - 5*t = 0, m*p - t + 0 + 14 = 0 for p. -5 Suppose -4*w + 3*r + 28 = 0, 5*w = 4*r + 64 - 28. Suppose 3*a - w*o = 44, -a + 2*o = -4*a + 50. Let g = a - 11. Solve 20 = -g*b, -2*b = v + b + 12 for v. 0 Let h(s) = s**2 + 7*s + 11. Let z be h(-5). Suppose 2*c + 6 = 0, -6*c = 2*q - 3*c - z. Solve -p + 3*i + 14 = -3, 3*i = q*p - 37 for p. 5 Let m = -33 - -38. Solve -3*v + 1 = v - 5*h, -m*v = -5*h - 5 for v. 4 Let p be (-3 - -2)*(2 - -4). Let r be 4/p + 6/9. Solve -5*k - 31 = -3*u, r = -3*k - k + 5*u - 30 for k. -5 Let s(o) = -1. Let w(h) = 2*h + 12. Let c(l) = 3*s(l) + w(l). Let a be c(-6). Let i be (-3)/a - 1/(-1). Solve p - i = 2*m + 3*p, 3*m - 5*p = 5 for m. 0 Suppose -4*x - x = 5. Let f(w) = -6*w - 1. Let d be f(x). Solve 4*p = -d*r, -1 = 2*p + 2*r - 3 for p. 5 Let u be (-48)/(-20) - (-4)/(-10). Let j(q) = -q - 1. Let t be j(-3). Let k be ((-5)/t)/(1/(-2)). Solve 41 = k*x - 4*g, 3 + 15 = 2*x - u*g for x. 5 Let w be (-194)/18 - 28/126. Let p = w - -15. Solve r - 3 = n + 4*n, -2*n = p*r + 10 for n. -1 Suppose 3*n = -4*i + 10, 2*i - 4*n - 7 = 9. Solve 4*z + z = 4*c - 41, 4*z + 36 = i*c for c. 4 Suppose 2*k + 2 = -4*h, 5*h - k - 13 - 2 = 0. Suppose -2*n + 84 = 2*n. Solve 0 = -5*v + y - n, -h*v - 10 = y + 4 for v. -5 Suppose 0 = 4*g - 214 + 34. Suppose 5*k = g - 10. Solve 0 = j + 4*c + 20, -j - 24 = k*c - 2*c for j. -4 Let d(v) = 21*v**2 - 1. Let h be d(-1). Suppose 0 = -0*j + 5*j - h. Solve -o + j*x = -2*o - 1, 4*o + 4 = 5*x for o. -1 Suppose 0*w - 15 = -3*w. Solve -3*j - 20 = j + w*u, 0 = 2*u for j. -5 Let l be 6/(-2) - (-10 - -1). Let n(m) = -m**3 + 6*m**2 - m + 7. Let h be n(l). Let a be 2 + -2 + h + -1. Solve -4*o + 5*b = 0, a = -2*o - 3*o + 3*b - 13 for o. -5 Suppose -j + 0*j + 8 = 0. Suppose 7*a - 3*a - 16 = 4*x, 0 = -5*a + 2*x + j. Let f be (a/(-2) + 0)/(-2). Solve -13 = s - 6*o + 3*o, 4*o - 12 = f for s. -4 Suppose -l + 4 = l. Solve 0 = l*f + 3*h + h - 10, 7 = f + 4*h for f. 3 Let o = 1 + -2. Let m = o + 6. Suppose -4*t = -m*a + 44 + 13, -21 = -a - 4*t. Solve c = -j + 2*c - 2, a = -4*j - c for j. -3 Suppose -39 = -5*v + 6. Let p = v + -5. Let w = 29 - 25. Solve -p*y - w = -4*d - 20, 4*y = 12 for d. -1 Let p be (-1 - (-9)/3) + 6. Let t be (2 - 46/p)*-4. Solve -5*q + 2*g - 6*g = 32, -g - t = 3*q for q. -4 Suppose 3 = -j + 12. Suppose -3*i - 19 = -4*f, 2*f + 3*i = -f + j. Solve -5*h = 4*n - 11, 2*h - 4*n - f = 6 for h. 3 Let h = -38 - -66. Solve 4*z + 4*s = -0*z + h, 0 = -z - 3*s + 11 for z. 5 Let j be 1*3*4/6. Suppose 0 = -3*l - 4*p + 6*p + 1, 4*l - 2*p - 2 = 0. Solve -l = -d + j*t, t + 0 = -5*d - 6 for d. -1 Let d(s) = -11*s - 1. Let t be d(-1). Suppose 0 = -10*b + 11*b. Suppose -t = -b*g - 5*g. Solve -3*y = 6, -g*y - 5 = -4*r + 15 for r. 4 Suppose 19*p = 16*p + 12. Let b(q) = q**2 + 5*q + 5. Let c be b(-4). Let z be 1 - (-1 + -2) - 1. Solve o - z = c, -o = p*v for v. -1 Let u be -5 + (-2*20)/(-4). Solve -a + 11 = u*q - 14, 4*a + q - 24 = 0 for a. 5 Let x be ((-6)/(-8))/(13/52). Solve h - 1 = -x*q, 3*h + 3*q = 5*h - 2 for h. 1 Suppose 12 = 7*r - 4*r. Solve 0 = -0*o + r*o - u + 18, 2*u + 9 = -o for o. -5 Suppose -23 - 21 = -4*x. Let a = 19 - x. Solve -5*y + 3*r + a = -0, 2*r = -3*y + 20 for y. 4 Let r(w) = -3*w - 1. Let s be -4*(-1)/4 - 2. Let d be r(s). Solve 2*f + 13 = -2*t + 3*t, t + f + d = 0 for t. 3 Let x = -24 - -54. Suppose -2*i + x = -0*i. Suppose -3*m - 4*p + 7 + i = 0, -2*p - 10 = 0. Solve 3*q - 5*y + m = -6, q - y = -4 for q. 0 Suppose -1 = 9*c - 46. Solve z + 5 = -c*o, o - 3 - 2 = z for o. 0 Suppose 35 = 5*n - 9*s + 4*s, -n + 4*s + 4 = 0. Let k = 18 + 1. Suppose -2 = 3*i - 8. Solve -n + 0 = 4*q + 4*l, i*q + k = -5*l for q. 3 Let c(l) = -l + 4. Let j be c(2). Suppose 68 = -5*x - 27. Let z = x - -39. Solve -10 = k + 3*q, -j*q + 7*q + z = -5*k for k. -1 Suppose 5*b - 9 = -3*h, 2*b - 6 = -2*h - 0. Solve -4*y + 3*j + 10 = 0, 4*y + 3*j - 5 - 17 = b for y. 4 Suppose -6*l = -4*l - 2*j + 6, 3 = l + j. Suppose 5*x = -5*v - 0*x - 20, l = v - 2*x - 8. Solve v = -m + 1 + 4, -3*m + 24 = 3*c for c. 3 Let m = 1 - -2. Suppose 0 = -b - 0*b - 12. Let p be (2 - 8)/(b/16). Solve 4*q = -4*g - p, 2*g - m + 13 = -4*q for g. 1 Let c be (-15)/20 + 33/12. Solve c*f + 2*f = -8, 4*u + 4 = -4*f for u. 1 Let u(i) = -4*i + 43. Let t be u(10). Solve 0 = -4*f + 4, 5*x = -2*f - t*f - 15 for x. -4 Suppose 0 = -j + 4 - 1. Suppose j*l = -5*q - 9, 0*q + 6 = -2*q - 2*l. Let m = q - -2. Solve -8 = -5*w - m*n, 4*n = 4*w + n + 12 for w. 0 Let i(t) = 17*t - 20. Let r be i(3). Solve -h + 5*g - 10 = -r, -4*h + 5*g + 9 = 0 for h. -4 Suppose -24 = 5*r + 1. Let o = r - -5. Solve 5*l + 3*z + 12 = o, -l + 2*z - z - 4 = 0 for l. -3 Let a be 8/(-20) + 34/10. Let h be (-1 - -2)*a/1. Suppose -5*w = 0, -t = -6*t + 5*w + 35. Solve -5*g = -i + 3, 4*g - 3*g = -h*i - t for g. -1 Let p(q) = q**3 - 2*q**2 - 4. Let x be p(3). Let h = 2 + 1. Let d = h + -2. Solve x*z - 10 = 5*o, 2*z + d = 4*o + 11 for o. -3 Suppose 5*d = -4*w - 39, 4*w + 4*d + 28 = -12. Let g = 16 + w. Solve 0*h = -h - g*y + 21, -12 = 4*h - 4*y for h. 1 Let j(v) = v - 1. Let r be j(-7). Let o = r - -11. Solve 4*z = 3*h + 3, 5*h - 21 = h - o*z for h. 3 Suppose -i + 3 = 1. Solve 3*z - 7*g + i*g = -19, 5*z - 2*g = 0 for z. 2 Let n = -5 + 27. Let o be 6/9 - (-114)/(-9). Let w = o - -12. Solve 2*u - 5*s + 17 = w, -u - 2*s - 8 = -n for u. 4 Let k be 5/(1*(3 - 2)). Suppose 4*c - k = 15. Solve c*z = 2*z - r + 14, -5*r = -2*z - 2 for z. 4 Suppose p + 10 = 3*p. Suppose 0 = -0*x - p*x + 60. Solve -
{ "pile_set_name": "DM Mathematics" }
699? 33 What is the greatest common divisor of 90 and 70? 10 Calculate the highest common divisor of 365 and 2117. 73 What is the greatest common factor of 474 and 6? 6 What is the greatest common divisor of 90 and 170? 10 Calculate the highest common factor of 700 and 420. 140 Calculate the greatest common factor of 464 and 32. 16 Calculate the highest common divisor of 1245 and 75. 15 Calculate the highest common factor of 612 and 68. 68 What is the greatest common divisor of 106 and 53? 53 What is the greatest common divisor of 184 and 24? 8 Calculate the highest common factor of 1107 and 205. 41 What is the highest common divisor of 156 and 37908? 156 Calculate the greatest common factor of 1863 and 324. 81 Calculate the greatest common factor of 4455 and 330. 165 What is the greatest common divisor of 17066 and 28? 14 What is the greatest common divisor of 425 and 25? 25 What is the highest common factor of 522 and 18? 18 What is the greatest common divisor of 42 and 58? 2 Calculate the greatest common factor of 18 and 866. 2 Calculate the highest common factor of 90 and 54. 18 Calculate the greatest common divisor of 198 and 22. 22 Calculate the highest common factor of 1157 and 325. 13 Calculate the greatest common factor of 299 and 161. 23 What is the greatest common factor of 104 and 4420? 52 What is the highest common divisor of 2951 and 13? 13 Calculate the greatest common divisor of 44736 and 384. 192 What is the highest common factor of 5371 and 131? 131 What is the greatest common factor of 77982 and 492? 246 What is the highest common factor of 6509 and 1132? 283 Calculate the highest common divisor of 6700 and 2144. 268 What is the highest common divisor of 146 and 2? 2 Calculate the highest common factor of 12 and 2238. 6 Calculate the greatest common factor of 588 and 300. 12 Calculate the highest common factor of 15 and 205. 5 What is the highest common factor of 1405 and 3? 1 Calculate the highest common divisor of 36 and 207. 9 What is the highest common divisor of 1105 and 2975? 85 Calculate the highest common divisor of 140 and 476. 28 Calculate the greatest common factor of 1857 and 9. 3 Calculate the greatest common factor of 305 and 183. 61 Calculate the highest common divisor of 7 and 497. 7 Calculate the greatest common factor of 63 and 7. 7 What is the greatest common factor of 420 and 9100? 140 Calculate the highest common factor of 7480 and 170. 170 Calculate the highest common factor of 18 and 1053. 9 Calculate the highest common divisor of 11350 and 50. 50 Calculate the greatest common factor of 10 and 5. 5 Calculate the highest common factor of 57 and 76. 19 What is the greatest common divisor of 30 and 850? 10 What is the highest common divisor of 360 and 440? 40 Calculate the greatest common factor of 66 and 2739. 33 What is the highest common factor of 2 and 134? 2 What is the greatest common divisor of 91 and 1495? 13 Calculate the highest common divisor of 432 and 32. 16 Calculate the greatest common factor of 10 and 4010. 10 What is the highest common factor of 336 and 21? 21 Calculate the greatest common divisor of 20 and 25. 5 What is the highest common divisor of 19 and 323? 19 What is the highest common factor of 7 and 112? 7 Calculate the highest common divisor of 137 and 9179. 137 What is the highest common factor of 53 and 59? 1 Calculate the greatest common factor of 707 and 5757. 101 What is the greatest common factor of 38 and 4? 2 What is the highest common factor of 3227 and 35? 7 What is the greatest common divisor of 147 and 84? 21 What is the greatest common divisor of 456 and 171? 57 Calculate the greatest common divisor of 21 and 19173. 21 What is the highest common divisor of 740 and 40? 20 Calculate the greatest common divisor of 2077 and 1943. 67 What is the highest common divisor of 624 and 442? 26 What is the greatest common divisor of 1769 and 2440? 61 What is the highest common factor of 9555 and 117? 39 What is the greatest common divisor of 8670 and 204? 102 What is the greatest common divisor of 2856 and 36? 12 Calculate the highest common factor of 17 and 22423. 17 What is the highest common factor of 186 and 47244? 186 Calculate the highest common factor of 1980 and 225. 45 Calculate the highest common divisor of 15 and 192. 3 Calculate the highest common factor of 1261 and 52. 13 What is the highest common divisor of 41 and 18901? 41 What is the greatest common divisor of 305 and 366? 61 Calculate the greatest common divisor of 55 and 80. 5 Calculate the highest common divisor of 368 and 144. 16 Calculate the greatest common factor of 2412 and 2. 2 Calculate the highest common divisor of 33 and 2112. 33 What is the greatest common factor of 437 and 46? 23 What is the greatest common divisor of 56 and 952? 56 What is the highest common divisor of 99 and 88? 11 Calculate the greatest common divisor of 263 and 17. 1 What is the greatest common divisor of 788 and 12? 4 Calculate the greatest common divisor of 11578 and 56. 14 What is the highest common factor of 100 and 2525? 25 What is the highest common divisor of 2046 and 286? 22 What is the highest common factor of 639 and 4189? 71 What is the greatest common divisor of 50 and 2275? 25 What is the greatest common factor of 49 and 637? 49 What is the greatest common factor of 253 and 1023? 11 What is the highest common factor of 912 and 1152? 48 Calculate the highest common divisor of 161 and 21. 7 Calculate the greatest common factor of 170 and 70. 10 What is the greatest common divisor of 5 and 313? 1 Calculate the greatest common factor of 8550 and 342. 342 Calculate the greatest common divisor of 8 and 11. 1 What is the highest common factor of 3699 and 1? 1 Calculate the highest common factor of 720 and 576. 144 What is the greatest common divisor of 9 and 63? 9 What is the greatest common factor of 24 and 444? 12 Calculate the greatest common divisor of 1242 and 18. 18 Calculate the greatest common factor of 60 and 620. 20 Calculate the greatest common divisor of 471 and 1256. 157 Calculate the highest common factor of 23 and 3841. 23 Calculate the greatest common divisor of 12 and 4014. 6 Calculate the highest common factor of 12 and 1572. 12 What is the greatest common divisor of 3072 and 480? 96 What is the highest common divisor of 188 and 20? 4 What is the greatest common factor of 2000 and 16? 16 What is the highest common divisor of 252 and 315? 63 What is the greatest common factor of 600 and 20800? 200 Calculate the greatest common factor of 132 and 2013. 33 What is the highest common divisor of 220 and 620? 20 Calculate the highest common divisor of 1269 and 47. 47 What is the highest common divisor of 6 and 57? 3 What is the highest common divisor of 27 and 14013? 27 What is the greatest common factor of 4 and 964? 4 Calculate the greatest common factor of 5126 and 5359. 233 What is the greatest common divisor of 46 and 94? 2 What is the greatest common divisor of 208 and 1352? 104 What is the greatest common divisor of 10 and 85? 5 Calculate the greatest common divisor of 475 and 100. 25 What is the highest common factor of 22 and 1991? 11 What is the greatest common factor of 25112 and 86? 86 Calculate the greatest common divisor of 34 and 1462. 34 What is the highest common factor of 90 and 2270? 10 What is the highest common factor of 12 and 6231? 3 What is the greatest common divisor of 25 and 20? 5 What is the greatest common divisor of 410 and 11398? 82 Calculate the greatest common divisor of 1076 and 24. 4 Calculate the greatest common factor of 114 and 1216. 38 What is the highest common divisor of 416 and 364? 52 Calculate the greatest common divisor of 48 and 176. 16 Calculate the highest common divisor of 1177 and 214. 107 Calculate the greatest common factor of 3808 and 532. 28 Calculate the highest common divisor of 16195 and 1025. 205 Calculate the greatest common divisor of 1 and 472. 1 What is the greatest common factor of 2367 and 9? 9 Calculate the highest common factor of 20 and 2320. 20 What is the greatest common factor of 48640 and 38? 38 What is the greatest common divisor of 50 and 280? 10 What is the highest common divisor of 33 and 165? 33 What is the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 9380453? 9380453 What are the prime factors of 8735116? 2, 13, 173, 971 List the prime factors of 37927348. 2, 71, 83, 1609 What are the prime factors of 374942? 2, 187471 List the prime factors of 236629. 43, 5503 What are the prime factors of 214083? 3, 881 What are the prime factors of 3060749? 3060749 What are the prime factors of 16550879? 16550879 List the prime factors of 5566962. 2, 3, 19, 47, 1039 List the prime factors of 6053789. 7, 173, 4999 What are the prime factors of 506837? 506837 List the prime factors of 12308623. 12308623 List the prime factors of 19912930. 2, 5, 1991293 List the prime factors of 287049. 3, 7, 13669 What are the prime factors of 163464? 2, 3, 7, 139 List the prime factors of 973719. 3, 108191 What are the prime factors of 94083? 3, 11, 2851 What are the prime factors of 12422968? 2, 1552871 What are the prime factors of 446141? 446141 What are the prime factors of 15150693? 3, 137, 191, 193 What are the prime factors of 1650568? 2, 19, 10859 What are the prime factors of 80533? 29, 2777 List the prime factors of 13891828. 2, 3472957 What are the prime factors of 134025? 3, 5, 1787 List the prime factors of 1126816. 2, 23, 1531 List the prime factors of 315258. 2, 3, 52543 What are the prime factors of 634332? 2, 3, 52861 List the prime factors of 187905. 3, 5, 12527 List the prime factors of 330807. 3, 110269 What are the prime factors of 160817? 160817 List the prime factors of 12583. 12583 List the prime factors of 362418. 2, 3, 7, 8629 List the prime factors of 32205668. 2, 11, 101, 7247 What are the prime factors of 2351192? 2, 293899 What are the prime factors of 397411? 7, 56773 List the prime factors of 2625788. 2, 11, 83, 719 List the prime factors of 162770. 2, 5, 41, 397 What are the prime factors of 153506? 2, 76753 List the prime factors of 747504. 2, 3, 29, 179 What are the prime factors of 2292633? 3, 7, 151, 241 List the prime factors of 2602399. 2602399 List the prime factors of 1451. 1451 List the prime factors of 209992. 2, 26249 What are the prime factors of 3817899? 3, 191, 2221 List the prime factors of 8823506. 2, 769, 5737 List the prime factors of 11445721. 7, 53, 30851 What are the prime factors of 17156509? 79, 2749 What are the prime factors of 1338778? 2, 7, 19, 719 What are the prime factors of 215495? 5, 7, 47, 131 What are the prime factors of 540716? 2, 11, 12289 List the prime factors of 475412. 2, 7, 16979 What are the prime factors of 7095143? 11, 645013 List the prime factors of 9907030. 2, 5, 7, 141529 List the prime factors of 5512939. 23, 281, 853 What are the prime factors of 7089502? 2, 7, 506393 List the prime factors of 6464403. 3, 11, 17, 23, 167 List the prime factors of 70029. 3, 31, 251 What are the prime factors of 2851484? 2, 151, 4721 What are the prime factors of 190284? 2, 3, 101, 157 List the prime factors of 137971. 281, 491 List the prime factors of 16948262. 2, 2179, 3889 What are the prime factors of 143432? 2, 17929 List the prime factors of 29678296. 2, 73, 89, 571 List the prime factors of 3127478. 2, 1563739 What are the prime factors of 10114809? 3, 941, 3583 What are the prime factors of 3055184? 2, 11, 17359 List the prime factors of 1213441. 179, 6779 What are the prime factors of 2862699? 3, 7, 136319 What are the prime factors of 7977501? 3, 7, 42209 What are the prime factors of 780370? 2, 5, 73, 1069 List the prime factors of 33209688. 2, 3, 1383737 What are the prime factors of 525810? 2, 3, 5, 17, 1031 What are the prime factors of 7237220? 2, 5, 73, 4957 List the prime factors of 342457. 31, 11047 List the prime factors of 10486815. 3, 5, 61, 73, 157 What are the prime factors of 8741866? 2, 7, 624419 List the prime factors of 6757674. 2, 3, 7, 11, 14627 List the prime factors of 1440731. 1440731 List the prime factors of 1108566. 2, 3, 2281 What are the prime factors of 26424856? 2, 103, 32069 What are the prime factors of 13976? 2, 1747 List the prime factors of 3633524. 2, 908381 List the prime factors of 762016. 2, 23813 What are the prime factors of 126938? 2, 7, 9067 What are the prime factors of 54812? 2, 71, 193 What are the prime factors of 2594724? 2, 3, 11, 1787 What are the prime factors of 729310? 2, 5, 72931 List the prime factors of 2531408. 2, 11, 19, 757 List the prime factors of 10401. 3, 3467 List the prime factors of 580360. 2, 5, 11, 1319 List the prime factors of 5917458. 2, 3, 541, 1823 What are the prime factors of 1013651? 439, 2309 List the prime factors of 737391. 3, 271, 907 What are the prime factors of 1507056? 2, 3, 31397 What are the prime factors of 208453? 7, 97, 307 List the prime factors of 405468. 2, 3, 7, 1609 What are the prime factors of 169800? 2, 3, 5, 283 List the prime factors of 552382. 2, 276191 List the prime factors of 38540733. 3, 7, 11, 166843 List the prime factors of 1439888. 2, 31, 2903 List the prime factors of 142731. 3, 15859 List the prime factors of 29804. 2, 7451 What are the prime factors of 1681618? 2, 59, 14251 List the prime factors of 1763119. 541, 3259 List the prime factors of 3870250. 2, 5, 113, 137 What are the prime factors of 973416? 2, 3, 40559 List the prime factors of 491398. 2, 277, 887 List the prime factors of 9064986. 2, 3, 7, 215833 List the prime factors of 1796447. 151, 11897 List the prime factors of 7957067. 19, 418793 List the prime factors of 16270862. 2, 449, 18119 List the prime factors of 10651369. 23, 463103 List the prime factors of 353980. 2, 5, 11, 1609 List the prime factors of 16325676. 2, 3, 23, 19717 What are the prime factors of 69120? 2, 3, 5 List the prime factors of 16676453. 167, 99859 What are the prime factors of 13399? 13399 List the prime factors of 44389. 44389 List the prime factors of 540344. 2, 7, 9649 What are the prime factors of 229380? 2, 3, 5, 3823 List the prime factors of 16235927. 16235927 What are the prime factors of 413675? 5, 16547 What are the prime factors of 22046454? 2, 3, 479, 2557 List the prime factors of 27363. 3, 7, 1303 List the prime factors of 1165570. 2, 5, 7, 16651 List the prime factors of 186551. 186551 List the prime factors of 4278272. 2, 2089 List the prime factors of 590081. 71, 8311 List the prime factors of 523606. 2, 97, 2699 What are the prime factors of 730527? 3, 7, 43, 809 What are the prime factors of 1117841? 937, 1193 What are the prime factors of 2536148? 2, 83, 7639 What are the prime factors of 293456? 2, 18341 List the prime factors of 4816360. 2, 5, 347 What are the prime factors of 3876209? 19, 31, 6581 List the prime factors of 90410. 2, 5, 9041 List the prime factors of 15539773. 31, 137, 3659 List the prime factors of 19279886. 2, 37, 260539 List the prime factors of 13425472. 2, 89, 2357 List the prime factors of 36770. 2, 5, 3677 What are the prime factors of 5763862? 2, 13, 41, 5407 List the prime factors of 125008. 2, 13, 601 List the prime factors of 192419. 317, 607 What are the prime factors of 197519? 7, 29, 139 What are the prime factors of 14123323? 241, 58603 What are the prime factors of 67730? 2, 5, 13, 521 List the prime factors of 3505635. 3, 5, 7, 31, 359 List the prime factors of 17226108. 2, 3, 79, 673 List the prime factors of 218208. 2, 3, 2273 List the prime factors of 941496. 2, 3, 39229 List the prime factors of 221213. 157, 1409 What are the prime factors of 7822191? 3, 13, 200569 List the prime factors of 129311. 7, 13, 29 What are the prime factors of 15791901? 3, 349, 15083 List the prime factors of 157831. 157831 What are the prime factors of 16537130? 2, 5, 439, 3767 What are the prime factors of 5450212? 2, 41, 167, 199 What are the prime factors of 2972793? 3, 139, 7129 What are the prime factors of 1410129? 3, 7, 829 What are the prime factors of 779132? 2, 109, 1787 What are the prime factors of 8987106? 2, 3, 1497851 List the prime factors of 7458532. 2, 23, 81071 List the prime factors of 3830043. 3, 7, 271, 673 What are the prime factors of 6652780? 2, 5, 17, 1151 What are the prime factors of 205680? 2, 3, 5, 857 List the prime factors of 296998. 2, 13, 11423 List the prime factors of 4591906. 2, 11, 31, 6733 List the prime factors of 2823133. 2823133 List the prime factors of 186859. 186859 List the prime fac
{ "pile_set_name": "DM Mathematics" }
1, -2, f Let z = -12/5 - -29/10. Let y(k) = -3*k**2 - k - 1. Let q be y(-1). Let w = -3.851 - 0.149. Sort w, 1, q, z. w, q, z, 1 Suppose 351*o = 359*o - 480. Suppose -k + 68 = o. Put 1/4, k, 6, -5 in descending order. k, 6, 1/4, -5 Suppose 4*l - 26 = -6. Let w be -15*34/(-3) - (0 - 4). Let p = -168 + w. Sort p, l, 0 in ascending order. 0, l, p Let t(z) = z - 3. Let r be t(5). Suppose 126*o - 230*o - 90 = -113*o. Suppose -o*s - r*s - 36 = 0. Put -1, -5, s in descending order. -1, s, -5 Suppose 8*d - 120 = -4*d. Let p be d - (0 - (-2)/4*0). Suppose -y + 3*y = p, 0 = 5*f + 4*y + 35. Put 0, -4/7, f, -2/5 in ascending order. f, -4/7, -2/5, 0 Let s = -125 - -75. Let f = s - -55. Put -2, f, 4, -5 in decreasing order. f, 4, -2, -5 Let l = 2417.7 + -2417.4. Sort 0.5, 0, l, 49. 0, l, 0.5, 49 Let j(m) = 5*m**3. Let r be j(-2). Let w = -25 - r. Let q = 12 - w. Put q, 0, -4 in increasing order. -4, q, 0 Let n(d) be the first derivative of -5*d**2 - 14*d + 45 + 2/3*d**3. Let j be n(6). Sort 34, 5, j. j, 5, 34 Let h = -448 - -634. Let x = 187 - h. Put x, -3/4, 5 in increasing order. -3/4, x, 5 Suppose 3*u = -2*g - 1500, -2*u - 3*g + 2*g = 999. Put -5, u, -1 in descending order. -1, -5, u Let j be 1*((-10)/5 + 75). Let n = -76 + j. Sort 69, n, 2 in increasing order. n, 2, 69 Let y be -1 + (2 - 22/18). Let z = -162322 - -162311. Sort y, 5, 2, z. z, y, 2, 5 Let z be 8/34*(-8194)/(-964). Sort -576, z, 1. -576, 1, z Let g = 2.2 + -2. Let l be (-276)/(-228) - (-88)/(-418). Let s = 5 - 2. Sort s, l, g, 0 in ascending order. 0, g, l, s Let j be (7696/259 + -30)/(0 + (-2)/14). Suppose 11 = m + 69. Sort -3, j, m in decreasing order. j, -3, m Let j = 8.5 + -8. Let a = 0.59 - -26.41. Let k = a - 24. Put 4, k, j in descending order. 4, k, j Let k = 51939 + -51948. Let a be 3/2*(-30)/9. Sort a, k, -3, -2. k, a, -3, -2 Suppose 0 = 4*m - 5*b - 11, 1 - 7 = -2*m + 2*b. Suppose 5*u = 6*u + 2*t + 9, 25 = -m*u + 3*t. Let i be 4/(-14) + (-86)/u. Sort i, -2, -3 in increasing order. -3, -2, i Let h be (-2)/4*2*3. Let m(l) = 2*l**2 - 33 - 3*l**2 - 11*l - 11*l - 6. Let b be m(-20). Sort h, b, 2, 4 in descending order. 4, 2, b, h Let z be 516/(-42) + 4/14. Let g be (-27)/z - 4/16. Let k be 30/(-24)*(-2 - -6). Put k, 0, g in increasing order. k, 0, g Let f be 1/((-45)/(-6)) + 372/2610. Let o = f + -143/203. Let n be (6/8)/(20/(-16)). Put o, 0, -5, n in increasing order. -5, n, o, 0 Suppose -43 = 7*k + 11 - 26. Sort k, -0.5, -41, 1 in ascending order. -41, k, -0.5, 1 Suppose 5*p + 10 = -0*p. Let m be (-2)/(-8) + 88/32. Let o = 6206 + -6207. Put m, o, p in descending order. m, o, p Let w be -4 + ((-2)/42)/(3/(-225)). Let f = -550/9 + 61. Suppose 0 = -5*p + 40 - 15. Put p, f, w in decreasing order. p, f, w Let g = 961 + -961.3. Suppose a = 3*p - 3 - 8, -4*p + a + 13 = 0. Let k = 1.4 - 0.9. Sort g, k, p, 2/5 in descending order. p, k, 2/5, g Let b be (-448)/39 - ((-48)/(-52))/(-6). Let h = -12 - b. Sort 5, -3/4, 1/3, h. -3/4, h, 1/3, 5 Let f = -4.99 - 0.01. Let v be (-175)/(-22)*(-6)/(-25)*10. Let i = v + -409/22. Put f, 0.4, 1/3, i in increasing order. f, 1/3, 0.4, i Let i = 0.2693 - -13.7307. Sort i, -1/7, -4, 5/6. -4, -1/7, 5/6, i Let q = -57 - -59.048. Let h = q - 0.048. Sort h, 6, 4 in ascending order. h, 4, 6 Let x = 5372 - 5372. Put 2, x, -3, 37, -2 in ascending order. -3, -2, x, 2, 37 Let f = 342 + -118. Let u = 200 - f. Put -3, u, 3 in decreasing order. 3, -3, u Let f = 27203 - 27417. Sort f, -2, -5. f, -5, -2 Let p be 8/30*6 + (-637)/(-455). Sort -2, 8, -1, p, -5 in descending order. 8, p, -1, -2, -5 Suppose -33*m + 30*m - 516 = 0. Let x = 172 + m. Put -1, x, 39 in descending order. 39, x, -1 Let g = -130 - -78. Let h = 46 + g. Let c(f) = -f**2 - 2*f + 20. Let n be c(h). Put 4, 1, n, 18 in descending order. 18, 4, 1, n Let r = -0.416 - -9.416. Let m = -0.32 - -0.3. Let f = m - -5.02. Sort f, r, -1/2 in increasing order. -1/2, f, r Let m = 11392 - 11387. Suppose -2*c - 5 = -3*c. Let b be 2/c - 0/(-2). Sort b, m, -0.3 in decreasing order. m, b, -0.3 Let r = 512 - 360.2. Let o = 152 - r. Sort 0.02, -2/11, o, 0.5 in increasing order. -2/11, 0.02, o, 0.5 Suppose -4*s + 14 = -2*a, -2*a + 6*a = 4*s - 32. Let j(x) = -472*x**2 - 9 + 8*x + 473*x**2 + 14. Let o be j(a). Sort 0, o, 3 in decreasing order. o, 3, 0 Let u = -421 - -416. Let a be (-4)/(-3 + (u - -18)). Let l(y) = -y + 3. Let i be l(4). Put i, -1/2, 0.1, a in increasing order. i, -1/2, a, 0.1 Suppose 4*o + w - 87 = 0, -3*o - 5*w + 61 = -0*o. Suppose -5*c - o = -32. Suppose -k = -2*k - 6. Put c, -5, -2, k in decreasing order. c, -2, -5, k Let r = -311.276 - -312. Let f = r + -0.68. Let k = f + -0.444. Sort 0, -0.09, 1, k in decreasing order. 1, 0, -0.09, k Suppose 0*w + 2*w + 232 = 0. Let s be w/14 + (-4)/(-14). Suppose -20*d = -12*d + 8. Put 2, -5, s, d in decreasing order. 2, d, -5, s Let r = 130 - 123. Let y(m) = m**2 + 5*m - 81. Let a be y(r). Sort -4, 6, a, -3. -4, -3, a, 6 Let q(s) = s**3 + 8*s**2 + s + 4. Let u be q(-8). Let v = 3574 + -3574. Put -123, v, u in decreasing order. v, u, -123 Let b be 2/(2*(-6 + (-116)/(-20))). Let c be -2 + (-35)/7*3/b. Sort 24, c, 5. c, 5, 24 Suppose -29 = 2*w - 5. Let a be (1/(-10))/(3/w). Let u = 12796 + -12792. Sort 0, u, a. 0, a, u Let s = 468.6 + -465.6. Sort -4, s, -0.6, -2/15 in descending order. s, -2/15, -0.6, -4 Let u(h) = -h**2 + 11*h + 273. Let d be u(23). Put d, 26, 0, -7, -2 in increasing order. -7, d, -2, 0, 26 Suppose 4*y + 20 = -4*o, -3*o + 13 = -0*y - 4*y. Let s = -601907 + 601908. Sort y, s, -77 in increasing order. -77, y, s Let n = -78 + 189. Let g = -111.3 + n. Suppose -3*v + 19 = 2*v + 2*r, 21 = 5*v + 3*r. Sort g, 4/3, -11, v in decreasing order. v, 4/3, g, -11 Let z(o) = -o**3 - 4*o**2 + 6*o. Let l be z(-5). Let j = -8.4 - -0.4. Let m be (-2 - (5 - 17))/(5/2). Put j, l, 5, m in ascending order. j, l, m, 5 Suppose x - t - 33 = 0, 3*t - 107 = -110. Sort 2, 1/5, x, 1, -3 in descending order. x, 2, 1, 1/5, -3 Let o(d) = -2*d**2 + 132*d + 1353. Let n be o(-9). Sort -6, n, -9, 4, 0 in decreasing order. 4, n, 0, -6, -9 Let p = 0.03656 - 4.03656. Let t = 7 - 12. Let k be 2/(-4) + (-300)/(-40). Sort -2/9, p, t, k in increasing order. t, p, -2/9, k Let m be 4/(-38) + 112761/323. Suppose -4*i = 2*j + 257 + 11, j = 5*i + m. Sort 4, -4, i in ascending order. i, -4, 4 Let y = 47 + -26. Let o be (4*22/(-33))/((-6)/9). Put o, y, -2 in increasing order. -2, o, y Let z = 438 - 438.009. Let n = -2.991 + z. Put -18, -2, n in ascending order. -18, n, -2 Suppose -759 = 12*g - 2631. Put 4, 0, 1, g, 5 in ascending order. 0, 1, 4, 5, g Let y = -5 - -43. Let v = y - 37.5. Let i be (6/18)/(10/(-12)). Sort -5, v, -4, i in increasing order. -5, -4, i, v Let a = -92.239 + 93. Let b = 5.239 + a. Sort b, -8, 0.4. -8, 0.4, b Let w = -6521 + 6523. Sort -0.04, w, -0.28 in descending order. w, -0.04, -0.28 Let i be 1/(-1 + (-15)/(-10)). Put 0, -460, i in descending order. i, 0, -460 Let b(p) = -10*p + 76. Let x be b(8). Let g be -47*(x - 0)*(-3)/6. Sort -4, g, -2, 1 in descending order. 1, -2, -4, g Let k = 41/3 - 14. Let h(p) = -p**2 + 110*p + 571. Let d be h(-5). Put -34, k, d in descending order. k, d, -34 Let m = -1432/3755 + -14/751. Sort m, 0.1, 1/2, 22/31 in ascending order. m, 0.1, 1/2, 22/31 Let h = -6669 - -6658. Sort h, -0.1, 1, 3, 0.1 in decreasing order. 3, 1, 0.1, -0.1, h Let p = 253 + -251. Sort 0, 7, -23, 1, p in increasing order. -23, 0, 1, p, 7 Suppose 0 = 17*y - 21*y + 8. Let m be (-26)/(-143) - ((-342)/(-33))/y. Put m, 3, 27 in descending order. 27, 3, m Let o = -235 - -259. Let t = -24.5 + o. Let a = 5 + -3. Put -0.2, a, t in increasing order. t, -0.2, a Let g(a) = 5 - a**2 + 3*a + 19*a - a. Let n be g(21). Let q = 14 - 18. Sort 2, q, -10, n in ascending order. -10, q, 2, n Let v = 218 + -223. Let u = -351/56 - -57/8. Let l = 68 - 139/2. Put v, l, u, 0.5 in ascending order. v, l, 0.5, u Suppose 4*a = -4*n - 0*a, -2*n = -4*a - 30. Suppose b + 4 = n. Suppose 0*q = 3*q + 3. Sort b, -4, q, -5 in descending order. b, q, -4, -5 Suppose 736 = -203*a + 219*a. Sort 0.9, 0, a, 3 in decreasing order. a, 3, 0.9, 0 Let v = 271.8 + -262. Let h = -9.9 + v. Sort 0.5, h, -13 in ascending order. -13, h, 0.5 Let v be (2 - (-18)/(-4))/(2/4). Suppose -2158 = -9*a - 2230. Sort -1, v, 7, a in descendin
{ "pile_set_name": "DM Mathematics" }
kkczkmzzmkkczzkf. Give prob of picking 1 m, 1 z, and 1 c. 1/34 Two letters picked without replacement from {f: 6, y: 13}. Give prob of picking 2 y. 26/57 Two letters picked without replacement from {k: 2, y: 8, c: 1, x: 2, b: 4, g: 3}. Give prob of picking 2 b. 3/95 Three letters picked without replacement from {r: 1, y: 1, s: 3, x: 1, q: 3, v: 5}. What is prob of picking 1 s, 1 x, and 1 y? 3/364 Three letters picked without replacement from {x: 2, j: 2, w: 1, e: 2, n: 1}. What is prob of picking 2 e and 1 w? 1/56 Calculate prob of picking 1 c and 1 q when two letters picked without replacement from tqtqtqtcqcqwcq. 18/91 What is prob of picking 2 v and 2 j when four letters picked without replacement from vvjvvvjv? 3/14 What is prob of picking 1 n, 1 t, and 2 p when four letters picked without replacement from tppttqtppppnptgppppr? 55/969 What is prob of picking 3 j when three letters picked without replacement from {j: 3, n: 9}? 1/220 Two letters picked without replacement from {p: 4, m: 1, t: 1, i: 3, s: 6}. What is prob of picking 1 t and 1 p? 4/105 Four letters picked without replacement from {k: 5, p: 5, h: 1, y: 3, v: 1}. What is prob of picking 1 h, 1 p, 1 y, and 1 k? 5/91 Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {i: 2, s: 1, l: 2, g: 1, m: 2}. 1/14 Calculate prob of picking 1 t, 2 p, and 1 k when four letters picked without replacement from {p: 7, k: 1, t: 5}. 21/143 What is prob of picking 1 j and 1 l when two letters picked without replacement from {j: 1, o: 1, l: 2}? 1/3 What is prob of picking 3 h and 1 z when four letters picked without replacement from hzzhzzzzhzzzhyhzhhz? 385/3876 Two letters picked without replacement from {f: 5, b: 1, m: 7}. Give prob of picking 2 m. 7/26 What is prob of picking 2 w and 2 r when four letters picked without replacement from {w: 2, u: 1, r: 14}? 13/340 Four letters picked without replacement from {i: 1, n: 11, r: 5}. What is prob of picking 1 r and 3 n? 165/476 Four letters picked without replacement from {i: 2, p: 1, l: 2, y: 3, h: 4}. Give prob of picking 1 l, 2 h, and 1 p. 4/165 Three letters picked without replacement from rrrrrrrrrwcow. Give prob of picking 1 o and 2 c. 0 Two letters picked without replacement from {f: 8, p: 3, e: 2, i: 2}. What is prob of picking 1 p and 1 f? 8/35 Three letters picked without replacement from ubbndbbrn. Give prob of picking 3 n. 0 Calculate prob of picking 4 n when four letters picked without replacement from snnnnnnnnnnnnnnnnsn. 35/57 Four letters picked without replacement from {d: 1, v: 11}. Give prob of picking 3 v and 1 d. 1/3 Two letters picked without replacement from {y: 2, e: 2, x: 1, o: 1, s: 2}. What is prob of picking 1 o and 1 e? 1/14 What is prob of picking 1 q, 1 n, and 1 x when three letters picked without replacement from snxqn? 1/5 What is prob of picking 2 g and 2 v when four letters picked without replacement from ccccvccggcccvgvccv? 1/170 Three letters picked without replacement from {y: 6, u: 3, k: 2, z: 3, j: 2, a: 2}. Give prob of picking 1 y and 2 u. 3/136 Two letters picked without replacement from azeawezennaeewennezw. Give prob of picking 1 w and 1 e. 21/190 Calculate prob of picking 2 p when two letters picked without replacement from xppspppppppxpp. 55/91 Three letters picked without replacement from eoeoeeeoeeoeeeeo. What is prob of picking 3 e? 33/112 What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 4, x: 1, a: 2, t: 1}? 1/7 Three letters picked without replacement from vvvvvvsvsssvvvvvvsv. What is prob of picking 3 v? 364/969 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jjxdgxduxdyxxj. 3/91 Three letters picked without replacement from ltndddt. What is prob of picking 3 d? 1/35 Two letters picked without replacement from {y: 1, a: 1, g: 2, b: 1}. Give prob of picking 2 b. 0 Calculate prob of picking 1 s, 1 v, and 1 n when three letters picked without replacement from bbbvsbns. 1/28 Two letters picked without replacement from {r: 1, o: 14, i: 5}. Give prob of picking 1 o and 1 r. 7/95 Two letters picked without replacement from cczr. What is prob of picking 1 c and 1 r? 1/3 Calculate prob of picking 1 h, 2 m, and 1 n when four letters picked without replacement from rmrnmhr. 1/35 Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ynnsyyqyt. 2/9 Calculate prob of picking 2 l and 1 s when three letters picked without replacement from losazlzjoljsslolslzz. 1/19 Two letters picked without replacement from efffr. What is prob of picking 1 r and 1 e? 1/10 Four letters picked without replacement from {j: 6, q: 5, b: 3, v: 3}. Give prob of picking 2 b and 2 j. 9/476 What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, w: 3, f: 3, r: 2, q: 1, l: 7}? 2/57 Calculate prob of picking 1 g, 2 n, and 1 k when four letters picked without replacement from dduigdnnikdiggdin. 9/2380 Three letters picked without replacement from {m: 4, s: 1, f: 2, u: 7, k: 1}. What is prob of picking 1 f and 2 u? 6/65 Three letters picked without replacement from mmdmxmdmx. What is prob of picking 2 d and 1 m? 5/84 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {k: 1, r: 2, l: 1, t: 1}. 1/10 Two letters picked without replacement from {k: 1, n: 1, t: 1, d: 1, v: 3}. Give prob of picking 2 v. 1/7 Four letters picked without replacement from {v: 6, a: 2, s: 2, o: 2}. What is prob of picking 2 a and 2 v? 1/33 Calculate prob of picking 1 f and 1 o when two letters picked without replacement from gztosgsozgzzsgfzzz. 2/153 Two letters picked without replacement from {h: 6, t: 6, m: 7}. What is prob of picking 2 h? 5/57 Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {z: 5, v: 9}. 45/91 Two letters picked without replacement from bbrrb. Give prob of picking 1 b and 1 r. 3/5 Three letters picked without replacement from {p: 7, u: 3, t: 2, e: 3, m: 1, x: 1}. What is prob of picking 1 u, 1 t, and 1 x? 3/340 Two letters picked without replacement from {g: 3, w: 6, u: 5, h: 2, s: 2, i: 1}. Give prob of picking 1 g and 1 s. 2/57 What is prob of picking 1 f, 2 l, and 1 s when four letters picked without replacement from {s: 2, f: 1, n: 7, l: 4, x: 1}? 4/455 Calculate prob of picking 1 h and 3 u when four letters picked without replacement from hufuhuhhhfufu. 10/143 What is prob of picking 2 j and 1 z when three letters picked without replacement from {z: 3, f: 5, a: 2, j: 9}? 36/323 Four letters picked without replacement from ztztthhhtzzzhbhtz. Give prob of picking 3 h and 1 t. 5/238 What is prob of picking 3 g when three letters picked without replacement from gggxggsgbogggggggoxb? 143/570 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {m: 2, p: 3, o: 6, k: 1, t: 1, f: 2}. 2/35 Four letters picked without replacement from {s: 4, k: 8, j: 2, m: 3}. What is prob of picking 1 s and 3 k? 8/85 What is prob of picking 3 r when three letters picked without replacement from {r: 5, f: 3}? 5/28 Two letters picked without replacement from vjttddctjttjvj. What is prob of picking 1 v and 1 t? 10/91 What is prob of picking 2 z, 1 e, and 1 l when four letters picked without replacement from {w: 4, z: 2, d: 1, e: 2, l: 1, x: 2}? 2/495 Four letters picked without replacement from {y: 3, x: 1, p: 1, i: 1, e: 1}. What is prob of picking 3 y and 1 x? 1/35 Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {j: 4, y: 2, b: 4, n: 2}. 8/495 Three letters picked without replacement from {n: 1, b: 2, x: 3, u: 2, e: 4}. What is prob of picking 2 b and 1 e? 1/55 What is prob of picking 1 b and 2 t when three letters picked without replacement from {o: 2, b: 2, t: 5}? 5/21 Four letters picked without replacement from {k: 2, j: 4}. What is prob of picking 4 j? 1/15 What is prob of picking 3 r when three letters picked without replacement from {b: 4, r: 3, k: 3, t: 3}? 1/286 Calculate prob of picking 2 c when two letters picked without replacement from {e: 12, c: 6}. 5/51 Two letters picked without replacement from vtktkdvvtktgk. What is prob of p
{ "pile_set_name": "DM Mathematics" }
3/3 + 9*f - 3. Let p(n) be the second derivative of t(n). Let p(z) = 0. Calculate z. -1, 0, 2 Factor -1/3*j**2 - 1225/3*j + 0. -j*(j + 1225)/3 Let j(b) = b**2 + 3*b + 1. Let q be j(-4). Find x such that 17*x**2 + 45*x**3 - 45*x**5 + 5*x**4 + 8*x**2 + 40*x**q + 10*x**4 = 0. -1, 0, 5 Let q = -162 + 101. Let d = q + 74. Factor -d*z**2 - 12*z - 9 + 6*z**2 + 4*z**2. -3*(z + 1)*(z + 3) What is k in -302 + k**3 - 27 - 2*k**3 - k**3 + 32*k**2 + 5 - 90*k = 0? -2, 9 Let m(r) be the second derivative of -13*r + 23/21*r**4 + 0 + 16/21*r**3 - 32/7*r**2 - 1/5*r**5 - 2/15*r**6 - 2/147*r**7. Suppose m(a) = 0. What is a? -4, -1, 1 Let o(m) be the first derivative of 246 + 9/5*m**5 + m**3 - 12*m - 1/6*m**6 - 19/4*m**4 + 10*m**2. Let o(j) = 0. What is j? -1, 1, 2, 6 Let x be (2 + (0 - 52/24))*-18. Suppose 5*s - 4*i + 12 = x*s, -5*i + 15 = s. Solve -1/7*q**3 + 4/7*q**2 + s*q + 0 = 0 for q. 0, 4 Let s(l) be the third derivative of -5*l**8/336 + 16*l**7/21 - 15*l**6/4 + 22*l**5/3 - 145*l**4/24 - 1031*l**2. Factor s(z). -5*z*(z - 29)*(z - 1)**3 Let f = -162 + 162. Factor -27*t**3 + t**2 - 11*t + f + 28*t**3 + 10*t - 1. (t - 1)*(t + 1)**2 Let w(a) be the first derivative of -19*a + 2/3*a**3 + 27 + 1/6*a**4 - 3*a**2. Let l(r) be the first derivative of w(r). Suppose l(q) = 0. Calculate q. -3, 1 Let x(c) = 60*c - 64. Let v be x(1). Let f(n) = n**4 + n**2 + n. Let r(y) = 2*y**4 + 6*y**3 - 7*y. Let l(o) = v*r(o) + 12*f(o). Solve l(h) = 0. -1, 0, 2, 5 Let r(f) be the third derivative of f**7/70 - 29*f**6/120 + 29*f**5/20 - 91*f**4/24 + 5*f**3 - f**2 + f + 170. Find x, given that r(x) = 0. 2/3, 1, 3, 5 Let v(f) be the second derivative of -f**4/4 - 7*f**3/2 - 9*f**2 - 2077*f. Let v(x) = 0. Calculate x. -6, -1 Let j = -33 + 52. Let t = 9 + -4. Suppose 1 + 6*w - 3*w**2 - t - 6 + j = 0. Calculate w. -1, 3 Let f(a) be the third derivative of 9/14*a**3 - 72 + 0*a + 0*a**4 - 1/140*a**5 - 2*a**2. Factor f(c). -3*(c - 3)*(c + 3)/7 Suppose -2*o - 16 = -5*m, -4*m - 1032*o = -1034*o - 14. Factor 29/4*c**m - 9/4*c**3 - 39/4*c + 9/2 + 1/4*c**4. (c - 3)**2*(c - 2)*(c - 1)/4 Suppose -x = -4*c + 10, 4*c + 4*x = x + 2. What is d in 3*d - 148 + 2*d + 50*d**2 + 138 + 25*d**3 - 10*d**c = 0? -1, 2/5 Let d(y) be the second derivative of -y**4/36 + 8*y**3/9 + 155*y**2/2 + 30*y + 37. Factor d(k). -(k - 31)*(k + 15)/3 Let -3/5*w**2 + 2076/5*w - 359148/5 = 0. Calculate w. 346 Factor 4362/19*r + 4/19*r**2 - 2182/19. 2*(r + 1091)*(2*r - 1)/19 Let o(a) = 3*a**2 - 5*a + 12. Let b(m) = -m. Let r(p) = -b(p) + o(p). Let k(s) = -2*s**2 + 3*s - 13. Let i(l) = 4*k(l) + 3*r(l). Find d, given that i(d) = 0. -4, 4 Let s = 6344/142035 - -4/1671. Let k = s - -6/17. What is l in 0*l - 8/5 + k*l**2 = 0? -2, 2 Suppose 2*x = -4*g - 24, 10*x + 12 = 2*g + 9*x. Factor -1/3*i**2 - 1/3*i**4 + g - 2/3*i**3 + 0*i. -i**2*(i + 1)**2/3 Let n(f) be the second derivative of f**4/42 - 6*f**3/7 - 19*f**2/7 + 121*f - 2. Factor n(l). 2*(l - 19)*(l + 1)/7 Suppose -18/11*n**4 + 0 - 78/11*n**2 + 0*n + 98/11*n**3 - 2/11*n**5 = 0. What is n? -13, 0, 1, 3 Let i(p) be the third derivative of 67*p**2 + 1/840*p**6 - 2/21*p**3 + 0 + 0*p + 1/140*p**5 + 0*p**4. Factor i(j). (j - 1)*(j + 2)**2/7 Let l(g) be the first derivative of -5*g**3/3 + 355*g**2/2 + 1110*g - 1292. Determine o, given that l(o) = 0. -3, 74 Let k be (-5 - 1) + (-4)/(-200)*306. Let d = 71/175 - k. Factor d*q**3 - 24/7 + 32/7*q - 2*q**2. 2*(q - 3)*(q - 2)**2/7 Suppose 25*i - 177 = 123. Factor 42 - 5*v**2 + 3*v**2 - i*v + 56*v + 4*v**2. 2*(v + 1)*(v + 21) Let j = 24/163 - -5470/489. Let w = j + -65/6. Determine o, given that o + 0 + w*o**3 + 3/2*o**2 = 0. -2, -1, 0 Let x(o) = -o**2 - 9*o + 23. Let l be x(-11). Suppose -3*z + 17 = -5*t + l, -5*t = -2*z + 4. Factor 5*p**2 - 8 + p - z - p. 5*(p - 2)*(p + 2) Let t(r) = -r**2 + 380*r - 1138. Let c(n) = -189*n + 570. Let p(a) = -7*c(a) - 3*t(a). Factor p(o). 3*(o - 3)*(o + 64) Suppose 0 = 3*d - 12 - 3, -17 = -4*y + 3*d. Suppose -y = -17*r + 9*r. Factor -r - 1/2*w**2 - 3/2*w. -(w + 1)*(w + 2)/2 Let d(c) be the first derivative of c**4/96 + 19*c**3/48 + 9*c**2/8 - 342*c + 276. Let q(l) be the first derivative of d(l). Suppose q(u) = 0. What is u? -18, -1 Let l = 4063 - 48751/12. Let y(f) be the second derivative of 0*f**3 + 5/42*f**7 + 3/4*f**5 - 21*f - 1/2*f**6 + 0 + 0*f**2 - l*f**4. What is a in y(a) = 0? 0, 1 Let o(d) = -35*d**5 + 3*d**3 + 3*d**3 - 41*d**3 + 5*d**2 + 55*d**4 - 7 - 3. Let k(f) = -f**5 - 1. Let q(w) = -10*k(w) + o(w). Factor q(l). -5*l**2*(l - 1)**2*(5*l - 1) Let m = 2/7279 + 21823/50953. Let h be -2*(-1)/(-14)*-192. Determine u, given that 48/7*u + m*u**2 + h = 0. -8 Let x(h) = 556*h**2 - 11*h. Let n(y) = 585*y**2 - 10*y. Let f(w) = -6*n(w) + 5*x(w). Determine z, given that f(z) = 0. 0, 1/146 Let g(x) be the first derivative of -1/2*x**4 + 5/2*x**2 + 0*x + 192 - 1/20*x**5 - 11/12*x**3. Factor g(o). -o*(o - 1)*(o + 4)*(o + 5)/4 Let q be (-3220)/(-552) + 24/(-18). Suppose -64*w = -68*w + 16. Factor 0 + q*s**2 - s + 11/2*s**w - 3/2*s**5 - 15/2*s**3. -s*(s - 1)**3*(3*s - 2)/2 Let j(i) be the second derivative of i**6/420 + 4*i**5/35 + 12*i**4/7 + 3*i**2 - 33*i. Let k(o) be the first derivative of j(o). Factor k(m). 2*m*(m + 12)**2/7 Let u be 5*((-2 - (-4 + -2)) + -3). Let v(y) be the first derivative of 0*y + 0*y**4 - 3/5*y**u + 42 + y**3 + 0*y**2. Factor v(a). -3*a**2*(a - 1)*(a + 1) Let n(k) be the first derivative of 0*k**2 - 1/3*k**4 + 0*k - 1/6*k**5 - 2/9*k**3 + 84 - 1/36*k**6. Factor n(z). -z**2*(z + 1)*(z + 2)**2/6 Let u be 3/((348/1600)/(-29)). Let j be (1 - 7/4)/(350/u). Let j*n**4 - 88/7*n - 52/7*n**3 + 24/7 + 110/7*n**2 = 0. What is n? 2/3, 1, 6 Suppose 4*r - 5*u = 87, 3*r - 4*u = r + 48. Suppose r = 2*k + 14. Determine v, given that -15*v**k + 10*v**3 + 6*v + 5*v**4 + 6 + 14 - 26*v = 0. -2, 1 Let g(x) be the third derivative of 1/3*x**3 + 0 + 0*x + 3/4*x**4 - 38*x**2 + 3/5*x**5. Suppose g(r) = 0. What is r? -1/3, -1/6 Suppose -21*u + 455 = -1645. Factor -277 - u*a - 173 - 122 + 72 - 5*a**2. -5*(a + 10)**2 Let l be (-1898)/(-1001) - (-6)/(-22)*(-44)/(-66). Factor 8/7*o + l*o**2 + 0 + 4/7*o**3. 4*o*(o + 1)*(o + 2)/7 Suppose -54/11*l**3 + 68/11*l**2 + 0 - 8/11*l**4 + 2/11*l**5 + 112/11*l = 0. What is l? -4, -1, 0, 2, 7 Let k = -233/24 + 1189/120. What is z in -2/5 + 2/5*z**2 - 1/5*z + k*z**3 = 0? -2, -1, 1 Suppose 41*d + 217 = 340. Let i(m) be the first derivative of -3/32*m**4 - 3/8*m - 3/8*m**d - 9/16*m**2 + 1. Let i(q) = 0. What is q? -1 Let s(y) be the second derivative of -y**5/180 + 5*y**4/54 - 8*y**3/27 - 2*y - 1982. Find a such that s(a) = 0. 0, 2, 8 Let o(w) be the second derivative of -58/9*w**3 - 1/15*w**5 - 16/9*w**4 + 3*w - 6 - 28/3*w**2. Find q such that o(q) = 0. -14, -1 Let k(u) be the first derivative of -3*u**5/25 - 21*u**4/20 + 552*u**3/5 - 1632*u**2 + 47616*u/5 - 256. Let k(o) = 0. Calculate o. -31, 8 Factor 4/9 - 10052/3*f + 6315169*f**2. (7539*f - 2)**2/9 Let h be (4/(-30)*-3)/(-6 + (-1448)/(-240)). Let g(o) be the first derivative of o**4 - 20/3*o**3 - 5 + 14*o**2 - h*o. Factor g(d). 4*(d - 3)*(d - 1)**2 Let f(w) be the first derivative of w**3/3 + 11*w**2 + 98*w - 21. Let a be f(-16). Factor -28/3*c**a + 64/3*c - 16/3. -4*(c - 2)*(7*c - 2)/3 Let y(i) be the first derivative of 2*i**5/5 + 27*i**4 - 240*i**3 + 5379. Factor y(a). 2*a**2*(a - 6)*(a + 60) Let f be (-8)/6*(430/(-1376) - 1/(-4)). Let v(d) be the second derivative of -f*d**5 - 15*d + 0 - 5/12*d**4 + 0*d**2 + 10/9*d**3. Factor v(w). -5*w*(w - 1)*(w + 4)/3 Let p(t) be the second derivative of 1/24*t**3 + 0 + 1/48*t**4 - 3/4*t**2 + 5*t. Factor p(y). (y - 2)*(y + 3)/4 Let z = 64 + -74. Let v be z/36*84/(-105). Factor 20/9*q + 50/9 + v*q**2. 2*(q + 5)**2/9 Let p(q) be the second derivative of 0 + 6241/8*q**2 + 1/48*q**4 + 129*q - 79/12*q**3. What is s in p(s) = 0? 79 Suppose -258 - 81 = 3*n - 5*c, -7*n + 4*c - 768 = 0. Let x be 1 + -3 - (2 - n/(-26)). Solve -2/13*k**4 - x - 6/13*k + 4/13*k**2 + 12/13*k**3 - 6/13*k**5 = 0. -1, -1/3, 1 Suppose 18*r - 21*r + 21 = 0. Let c be (-1)/(-2)*(r - -11). Factor c + 9*y - 8 - 3*y**3 + 5. -3*(y - 2)*(y + 1)**2 Suppose 10906 = 1603*c - 3521. Suppose 21/2*l + 4*l**2 + 1/2*l**3 + c = 0. Calculate l. -3, -2 Let i(l) be the third derivative of 2*l**7/105 + l**6/15 - 19*l**5/15 + 14*l**4/3 - 8*l**3 -
{ "pile_set_name": "DM Mathematics" }
j + 2*m - 2. What is the third biggest value in -1/4, j, 158? -1/4 Let s = 152.78 + -156.78. What is the third smallest value in s, -0.01, -5/4, 2.4? -0.01 Let h = -477 - -172. Let o = -330 - h. Which is the smallest value? (a) -5 (b) o (c) 0.2 b Let y = 14703 + -14708. What is the smallest value in y, 3, -12016? -12016 Let i = 3.08 + -0.08. Let t = -1.67 - -3.67. Let y = t + i. What is the third biggest value in 0.3, 0.5, y? 0.3 Let r be -25 + (-84)/(-6) + 14. Which is the fourth biggest value? (a) r (b) 0 (c) 2/5 (d) 44 b Let h = 93632 + -93632. Suppose -4*g - 2*a = -3*g + 1, g + 5 = 2*a. Let i be g/(1*(-5)/2). What is the third biggest value in 3/5, i, h? h Let t = 5/13 + 29/26. Let o = -224.58 + 224.68. What is the third biggest value in o, -5/6, t? -5/6 Let r = -3.863 + 2.863. What is the second biggest value in -435, 1/3, 1, r? 1/3 Suppose 4 = 9*s - 5. Let r = 0.36 + 1.64. Let q be 55/(-15) - (-1)/(-3). Which is the fourth smallest value? (a) q (b) 0.5 (c) r (d) s c Let w = 15269 - 15269.3. Which is the second biggest value? (a) 2 (b) -0.9 (c) w (d) -1/4 (e) -7/9 d Suppose -322 = -47*c - 1450. Let d be ((-4)/4)/((-4)/(-6)). What is the biggest value in 3/4, c, d? 3/4 Let n = 5178/55 - 1040/11. Which is the fourth biggest value? (a) n (b) -5 (c) 0.3 (d) 12 b Let f be -3*1/((-45)/6). Let j = -117 + 149. Let l = -31.5 + j. What is the third smallest value in l, -0.05, f, 4/3? l Let q = 82 + -87. Let l be (-1)/(-3*1) + 1438/2157. What is the fourth biggest value in -3, q, 24, l? q Let y be -9 + -2 + (6 - 1 - 1). Let h = 11 + y. Let w = -1 - -0.8. What is the second biggest value in h, 0.01, w? 0.01 Suppose 4*k - 96 = 20. Let m = -55/2 + k. Let u = -9474 + 9478. Which is the second biggest value? (a) m (b) -4 (c) u a Let u = 13.33 + -9.33. Let r be 2/(-3) + (-4)/24*-2. Which is the second smallest value? (a) r (b) u (c) -4/5 (d) -22 c Let i = 0.026 - 7.026. Let t = -4 - i. Let u = 708 - 19114/27. Which is the second smallest value? (a) u (b) t (c) 0 a Let j = 2689 - 2694. What is the biggest value in 5, -38, -0.9, j? 5 Let y = -6695.2 + 6690.2. Let r = 0 + 0.1. Which is the third smallest value? (a) y (b) -0.1 (c) -4/5 (d) r b Let g = 3083 - 3083.4. What is the second biggest value in g, -5, -40.72? -5 Suppose 5*m = m + 3*u - 658, -4*u = -3*m - 497. Let z = m - -158. Let s = -37/2 + 18. Which is the third biggest value? (a) 3 (b) s (c) z c Let u = -4376.55 + 4377. Which is the smallest value? (a) 0.5 (b) -0.3 (c) 0.2 (d) u (e) -0.4 e Let y be 2*1 - 60/27. Let t(a) = -119*a - 5354. Let p be t(-45). What is the third biggest value in -23/4, -5, p, y? -5 Let i = -983 - -972. Let f = 0.21 + -13.21. Let k = f - i. What is the second smallest value in 5, k, 2? 2 Let p = -10834/11 + 985. What is the biggest value in p, 8, -38/5? 8 Suppose -22 = c - 4*h, 2*c - 18*h = -14*h - 24. Let j be (-38)/171*3/c. What is the fourth smallest value in -2/35, 0, 3, j? 3 Let q = 142.179 - 142. Let h = -0.221 - q. What is the fourth biggest value in 2/9, h, 4/3, 4? h Let m be 2*9/(-72) - 2362/12600. Let j = m + 2/225. Which is the fourth smallest value? (a) j (b) 4 (c) 1 (d) 8 d Let j be (-2)/(-5)*2/4. Suppose -55*x + 56*x = 4. Suppose -l - 5 = 0, -n - x*l - 31 = -8. Which is the biggest value? (a) n (b) 0 (c) j (d) -0.5 c Let r = -201 - -79. Let i = -117 - r. Which is the smallest value? (a) 1 (b) i (c) -4 (d) 1/3 c Let n = 3055 + -3047. What is the fourth biggest value in -0.4, -2, -12, n? -12 Let t = 48.7 - 58. Let b = -6.6 - t. What is the biggest value in -0.5, b, -0.3? b Let v = 0.14 - -0.86. Suppose 4*p - 5*s + 4*s = -17, -3*p - 18 = s. Let y be p/(-105) + 2/7. Which is the smallest value? (a) 0.5 (b) y (c) -1/8 (d) v c Let y = 162.918 - 96.61. Let z = y + -62.3. Let o = -0.008 + z. Which is the second smallest value? (a) o (b) -1/5 (c) -0.3 b Let t = -92/107 - -537/749. What is the fifth biggest value in -47, -3, t, -1, -0.2? -47 Let h be 0 + 2 - (-186)/1008. Let b = 38/21 - h. What is the biggest value in 13, 0.2, b? 13 Let g = -1.1 - -2.1. Let i = -890 + 890.5. Which is the third biggest value? (a) -1/4 (b) i (c) g (d) -2/23 d Let j(b) = -b**3 - 7*b**2 - 5*b + 2. Let k be j(-6). Let y be 12/k*2/18. Let p(a) = -384*a - 770. Let h be p(-2). What is the third biggest value in y, 0.4, h? h Let n = 3407.805 + -3408. Which is the second smallest value? (a) n (b) -0.1 (c) -1 a Let v = -34.457 - -33.957. What is the fifth smallest value in -0.032, v, -4, 5, 0? 5 Let v = -130 - -130. Let g = 0.07 + -4.07. Suppose -5 = -144*o + 143*o. Which is the third biggest value? (a) g (b) v (c) 4 (d) o b Let z(y) = 28*y - 38. Let m be z(7). Let f = 154 - m. Which is the fourth smallest value? (a) -18 (b) -2/3 (c) 3/5 (d) f c Let t = 8.949 - 4.949. Which is the fourth biggest value? (a) -1/2 (b) -113 (c) -4/7 (d) t b Let x = 2.97982 - -0.02018. Which is the biggest value? (a) x (b) 0.2 (c) -3 (d) 71 d Let u be 6/(-27) + (-176)/18. Let f be ((8 + -3)/u)/(-2). Which is the third smallest value? (a) -1/16 (b) 0.3 (c) f b Let f = 279.64 + 2.36. Let d = f - 294. Which is the second biggest value? (a) d (b) 1 (c) 0.1 c Let b = 269 + -395. Let t = b - -124. What is the biggest value in t, 2, -0.1, -4? 2 Suppose 194*g - 4137 - 11235 = -1986. What is the third biggest value in -223, g, -2/3? -223 Let g be (21/(147/(-28)))/((-69)/9 - -1). What is the smallest value in -3, -20/13, 6/11, g? -3 Let u = -44.3 + 39. Let g be ((-28)/(-2) - 15)/(((-15)/4)/5). Which is the third smallest value? (a) u (b) g (c) -3 b Suppose -20*z = -18*z - 2*w, -z + 3*w - 10 = 0. Which is the smallest value? (a) -2 (b) z (c) 0 (d) 0.001 a Let t be (1292/(-19))/(1 + 0). Let u be 8/t + 150/408. What is the third smallest value in u, -15, -2? u Let u = 0.01 - 0.07. Let j be (-66)/15 + (2 - (-7 - -5)). Which is the third smallest value? (a) j (b) u (c) 5 c Let s = 9741 + -9743.58. What is the fifth biggest value in 2, -1, 5/4, s, -0.5? s Let k be (((-22)/(-4))/(-11))/(5/706). Let p = k + 701/10. What is the third biggest value in p, 3/8, -17, -2/3? -2/3 Let p = -3217/3 - -19129/18. Let u = 91/9 + p. Which is the third smallest value? (a) -12 (b) u (c) -0.06 b Let o = 478/7 + -2404/35. What is the fourth biggest value in -0.09, o, 0.05, 3/4? o Let f be -65*(24/50)/(4/10). Let w be f/(-52)*4/(-15). Which is the second smallest value? (a) 2/7 (b) w (c) 4 a Let x be ((-2)/3)/((-4)/6). Let h = -40107 - -40107. Which is the second biggest value? (a) 4 (b) h (c) x (d) 0.18 c Let i = 39.0758 + 0.0242. Let t = i - 39.3. What is the smallest value in -1/3, -2, t? -2 Let n = -19.89 + 12.89. What is the smallest value in 4/5, n, -1/3? n Let m = -11767 - -13276. What is the smallest value in -2/5, m, 0.2? -2/5 Let u(x) = -x**3 - 11*x**2 - 36*x - 223. Let i be u(-9). Let m = 144 - 83. Let j = i + m. Which is the fourth smallest value? (a) j (b) -1 (c) 5 (d) -14 c Suppose -5*c + 288 = -c. Let k = c - 70. Let t be 32/252*3 + (-4)/12. What is the smallest value in -1, -0.2, k, t? -1 Let i = 108 + -109. Which is the third biggest value? (a) i (b) -3 (c) 5 (d) 1.2 (e) 0.4 e Suppose 2*g + 5*x + 7 = 27, 2*x = 2*g - 6. Let s be -1*4 - (-336)/81. Let z = -1/54 - s. Which is the biggest value? (a) g (b) z (c) -0.3 (d) -2/5 a Let s = 72.9 + -73.4. Let o = -15 - -18. Suppose 4*l - 3*z + 5*z - 6 = 0, 2*l - 9 = -o*z. Which is the third smallest value? (a) l (b) s (c) -2/11 (d) -1 c Let f be (175/(-10))/(-5)*(-2 - -1). Let t be (-26)/36 - 4*2/(-36). Which is the second biggest value? (a) 1/7 (b) f (c) 0.1 (d) t c Suppose -2*l = -4*m - 6 + 10, 2*l + 2*m - 8 = 0. Which is the second smallest value? (a) 0.2 (b) -4 (c) -7 (d) l (e) 0.5 b Let k = -1.8 - -1. Let m = -64 + 67. Suppose 2*g = 11 - m. Which is the second smallest value? (a) 1/7 (b) k (c) g a Let y = 7089 + -7092. What is the fourth smallest value in y, 0.07, -0.7, -0.05? 0.07 Let k = 36 - 34.3. Let b = 0.785 - 1.285. What is the biggest value in k, b, 0.1? k Let m = 2.8687 + -7.8687. What is the fourth biggest value in 2/3, 19, 2/13, m, 2/17? 2/17 Let j = -39730.6 - -39728. Which is the biggest value? (a) -3 (b) 2/9 (c) -34 (d) j b Suppose -96
{ "pile_set_name": "DM Mathematics" }
+ (3*w + 1 - 1)*(-3*w - w + 2*w). -62*w**2 Expand (0 + 0 - 2*y)*(-12 + 12 - y)*(-46 - 14*y - 54 + 101 + (2 - 1 + 0)*(6*y - y - 3*y) - 2*y + y - y). -28*y**3 + 2*y**2 Expand (4*n**2 - 6*n**2 + 3*n**2)*(-3*n - n - n) + (-3 + 7 - 2)*(-13*n**3 + 14*n**2 - 14*n**2) + (-11*n**2 + 2 - 2)*(-2*n - 3 + 3). -9*n**3 Expand (3 - 3 - 2*y**3)*(-1674*y + 1674*y + 241 - 2*y**2). 4*y**5 - 482*y**3 Expand 94*o**5 + 108*o**5 + 2*o**2 - 203*o**5 - 186*o + (-2*o**4 + 0*o**2 + 0*o**2)*(-3*o + 3*o - 2*o). 3*o**5 + 2*o**2 - 186*o Expand -5*y**4 + y**4 + 2*y**4 + (-3*y**3 + 4*y**3 - 3*y**3)*(89*y + 379 - 379). -180*y**4 Expand (-273 + 273 + 40*v**3)*(-21 - v**2 + 21). -40*v**5 Expand (3 - 3 - 2)*(1 - 1 - j + (-3 - 4 + 5)*(0 + 2 + 1)*(2533 - 54*j - 2533)). -646*j Expand 2*i**5 + 2*i**5 - 2*i**5 + (4*i**4 - 4*i**4 + 2*i**4)*(3*i - 3*i - 2*i) + (0*i**2 - 2*i**4 + 0*i**2)*(1143 + 48*i - 1143). -98*i**5 Expand -2*t**4 + 3 - 3 + (-9*t**2 + 95*t - 95*t)*(3*t**2 - 2 + 2). -29*t**4 Expand (-4*d**2 + 0*d**2 - d**2)*(1 + 0 + 1)*(2 + 81 + 19). -1020*d**2 Expand (-3*h + h + 0*h)*(-5*h + 3*h + h) + (-3 + 1 - 1)*(21*h**2 - 20*h**2 + 23*h**2). -70*h**2 Expand (k - k + 4*k)*(0*k + 3*k - k)*(10*k**2 + 10*k**2 - 5*k**2). 120*k**4 Expand (39*x + 23*x**2 - 39*x)*(-12*x**3 - 193*x**2 + 193*x**2). -276*x**5 Expand (-5 + 1 + 3)*(5*z + 693 + 707 - 1413). -5*z + 13 Expand 5*h**2 + 2*h**2 - h**2 + (h - 2*h - 3*h)*(3*h - 2*h + 0*h). 2*h**2 Expand (-3*v + 3*v - 2*v)*(-1 - 4 + 4)*(139*v - 33*v - 1 + 14*v). 240*v**2 - 2*v Expand -97 - 34*u + 97 + (11 + 30*u - 11)*(3 - 2 - 2). -64*u Expand -w**4 + w**4 + 2*w**4 - 8*w**2 + 4*w**4 + 8*w**2 + (3*w - 2*w + w)*(0 + 0 - w**3). 4*w**4 Expand 13*u**4 - u - 15*u**5 - 13*u**4 + (-3*u - 4*u**2 + 3*u)*(-2*u - u**2 + u**3 + 2*u). -19*u**5 + 4*u**4 - u Expand (3*n**4 - 2*n**4 + 2*n**4 + 2*n**4 - 3*n**4 + 2*n**4 + (-22*n + n**3 + 22*n)*(4*n - n - 2*n) - n**4 + 5*n**4 + 0*n**4 - 2 - 2*n**4 + 2)*(3 - 5 + 3). 7*n**4 Expand (-2 - 5 + 17)*(0*x - 4*x + 3*x + (5 - 5 - 2)*(2*x + 5*x - 4*x)). -70*x Expand (8*d - 2*d + 2*d)*(0 + 0 + 2*d**3)*(5 + 3 + 1 + 4*d). 64*d**5 + 144*d**4 Expand -2*w + 5*w - 10*w**2 - 3*w + w**2 - 4*w**2 + w**2 + (2*w + 0*w - w)*(-w + 2*w - 3*w) + w - w**2 - w. -15*w**2 Expand ((-q - 3*q + 3*q)*(q - q - q) - 6*q**2 - 2*q**2 + q**2)*((3 + 1 - 1)*(2*q**2 + 2*q**2 - 5*q**2) - 3 + q**2 + 3). 12*q**4 Expand (2 + 1 - 1)*(-4*b + 2*b + 0*b + (3 - 2 + 0)*(2*b + 2*b - 5*b) - 2*b + b + 2*b)*(310 + 354 + 739). -5612*b Expand (f - 5*f + 2*f)*(-4*f**2 + 2*f**2 - 11*f**2)*(-1 + 5 + f - 2). 26*f**4 + 52*f**3 Expand (175*x - 11*x - 96*x)*(-4*x + 0*x + 2*x) + 3*x**2 - 3 + 3. -133*x**2 Expand (-31*s - 87*s**2 + 0*s + 32*s)*(4*s + 0*s - 3*s). -87*s**3 + s**2 Expand 2*a - 2*a - a**3 + (2 - a - 4 + 0*a)*(-3*a**2 + 2*a**2 + 2*a**2) - 4*a**3 - 29*a**3 + 66*a**3. 31*a**3 - 2*a**2 Expand (2*y - 2*y + y)*(-4 - 3 + 3) + (-10 + 0 - 1)*(-3 - y + 3). 7*y Expand (y**2 - y**2 + y**2 + (y**2 - y**2 + 2*y**2)*(-4 - 32 + 14))*(y**3 - 4*y**3 - y**3). 172*y**5 Expand (h + 2*h**4 - h)*(0*h - 2*h + 3*h) + 2 + 21 + 4*h**5 - 9. 6*h**5 + 14 Expand 127*m**3 - 226*m**3 - 212*m**3 + (0*m**3 + 4*m**3 - m**3)*(1 + 2 - 5). -317*m**3 Expand (0 + 0 - u**4)*(-3*u + 2*u + 0*u + (2 - 3 + 0)*(0*u - u - u) + u + 3*u - 2*u) - 16*u**4 - 5*u**5 + 16*u**4. -8*u**5 Expand (-4*q + 4*q - 2*q)*(-2 + 2 + 1) - 19*q - 373282 + 373282. -21*q Expand (0*l + 0*l - 3*l)*(-3 + 1 + 3)*(-4 + 10 + 5 + (-2 + 1 - 1)*(-6 + 4 - 2))*(-l + 1 - 1). 57*l**2 Expand (90 + 51 + 5)*(3*w + w - 2*w). 292*w Expand (5 - 8 - 4)*(-4*u - 2*u + 0*u)*(-2 + 7 - 3). 84*u Expand 22*w**2 + 5*w**2 - 8*w**2 + (0*w + 2*w - w)*((-2 + 1 - 1)*(-w - 5*w + 4*w) + 5*w - 3*w + 0*w). 25*w**2 Expand (-2*d + 0 + 0)*(2*d + 4*d**3 - 2*d) + (d**2 + d**4 - 2*d**4 + d**2)*(-3 - 20 + 0). 15*d**4 - 46*d**2 Expand 0*w**4 + w**4 + w**4 + (5*w - 5*w - w**3)*(-2*w + 4*w - 4*w) + (17*w**2 + 14*w**2 - 22*w**2)*(8*w**2 - 16*w**2 + 0*w**2)*(-6 + 4 + 0). 148*w**4 Expand 23*j - 10*j + 45*j + (-2*j - 2 + 2)*(-4 + 4 - 2) - 2*j - 3 + 3. 60*j Expand -2*c**3 + 4*c**3 - 4*c**3 + (9 - 9 - c)*(8*c - 8*c - 14*c**2). 12*c**3 Expand (0 + 2 - 6)*(-3 + 4 + 0)*(4*q**2 + 2*q**2 - 4*q**2). -8*q**2 Expand (5*i - 3*i - 4*i)*(-73 + 73 - 28*i)*(-1 - 2*i + 2 + 0). -112*i**3 + 56*i**2 Expand (-4 + 2 + 1)*(4 + 0 - 3)*(-1020 + 1020 + 66*j**2 + (-2 + 2 - 2*j)*(-4*j + 5*j - 3*j)). -70*j**2 Expand (-3 + 1 + 8)*((-c - 4*c + 4*c)*(0 - 1 + 2) + c + 3*c - 7*c)*(-1 - 3 + 6). -48*c Expand ((-6 + 1 + 4)*(84 + 49 - 92)*(0 - 1 + 2) + (0 + 1 - 4)*(2 - 4 + 0))*(4 + d - 4). -35*d Expand (-8 + 7*u + 8 + (2 + 7 - 4)*(-u - 2*u + u) + 5 + u - 5)*(0*u**2 + u**2 - 4*u**2). 6*u**3 Expand (4 + 3*f - f - 3)*((2 - 4 + 4)*(2*f - 2*f - 2*f) - 7 + 7 + 2*f). -4*f**2 - 2*f Expand 0*x**2 + 0*x**2 - 2*x**3 - 10*x + 4*x**3 + 10*x + (3*x + 3*x - 9*x)*(0*x**2 - x**2 + 3*x**2) - 2*x**3 - 2 + 2 + 2*x - 2*x**3 + 5*x - x. -8*x**3 + 6*x Expand -3*l - 2*l**3 + 3*l + (2*l**2 - 5*l**2 + 2*l**2)*(l - l + 2*l) - 4*l**3 + l**3 + 5*l**3 + (2*l**2 - 1 + 1)*(29 - 30*l - 29). -62*l**3 Expand (5 - 5 + w**2)*(-4*w + 2*w + 3*w) - 3*w**3 - w**3 + 6*w**3 + 2*w**3 - 2*w**3 + 2*w**3 + (-2*w**2 + 2*w**2 + 6*w**2)*(-w - w + 4*w). 17*w**3 Expand (219 - 42 - 68)*(x - 4 + 4 - 3)*(-x - x + 0*x). -218*x**2 + 654*x Expand (-5*c - 23 + 14 + 13)*(-4*c - 8*c + 3*c). 45*c**2 - 36*c Expand (9 + b - 25 + 15)*(541 - 1117 + 687). 111*b - 111 Expand (-3*w + 381 + 434 - 780)*(4*w - 2 + 0 - 13*w). 27*w**2 - 309*w - 70 Expand 3*u**2 - 3*u**2 + u**3 + (-7*u + 7*u + 2*u**3)*(6 + 3 - 6). 7*u**3 Expand -48 + 1 + 0 - 2*o**2 - o**2 + o**2 - o**2 + (3*o - 2*o + o)*(-o + o + o). -o**2 - 47 Expand (6*t - 2*t - 3*t)*(-t**2 + t**2 + t**2) - 5*t**3 - 8*t**3 + 53*t**2 - 55*t**2. -12*t**3 - 2*t**2 Expand (-89 - 5 - 2 + (4 - 1 - 2)*(4 - 4 - 1))*(1 + 0 - 3)*(-u + 4*u - u). 388*u Expand -4*j**3 + 34*j**3 - 11*j**3 + (-2 - 1 + 2)*(j**3 + 0*j**3 + 0*j**3) - j - j**3 + j - 2*j**3 - j**3 + 0*j**3. 14*j**3 Expand (k + 3 - 3)*(-5*k**2 + 19*k**2 + 11*k**2) + (-k**2 - k**2 - k**2)*(-2*k + k + 3*k). 19*k**3 Expand (-3 + 0 - 4)*(13*b - 6*b + 7*b). -98*b Expand (-1 + 6 + 0)*(2*j**2 + 4*j**3 - 46*j + 42*j - 3*j**3) + j**3 + 0*j + 0*j. 6*j**3 + 10*j**2 - 20*j Expand 4*a**2 + 0*a**2 - 2*a**2 + (-17*a - 65*a - 42*a)*(-1 + 1 + a). -122*a**2 Expand (264 - 17*z - 132 - 136)*(0 + 1 + 1). -34*z - 8 Expand (-5*f + f + 6*f)*(6*f + 10*f - 6*f) - 8*f**2 - f**2 + 2*f**2 + 2*f**2 + 2*f**2 - 5*f**2 + (2*f**2 + 2*f**2 - 6*f**2)*(-1 - 3 + 3) - 2 + 2 - 2*f**2. 12*f**2 Expand (0 - 1 + 3)*(71*o + 1 + 19*o + 70*o). 320*o + 2 Expand (16*d - 9*d - 12*d + (-5 + 2 + 2)*(2*d + 2*d - 6*d))*(-91*d**2 - 10*d**2 + 36*d**2). 195*d**3 Expand (3 + 3 - 3)*(-d - d + 0*d) + 104*d + 414*d + 106*d - 92*d. 526*d Expand 28*v**3 - 5*v**3 + 2*v**3 + (2 + 0 - 4)*(v**3 - v**3 + 3*v**3). 19*v**3 Expand (k - 3*k + 6*k)*(3*k - 1 + 1) + 2*k - k**2 - 2*k + 0*k**2 - 6*k**2 + 4*k**2 + (0 + 0 - 2*k)*(2*k + 1 - 1). 5*k**2 Expand (-6*a**3 + 5*a**3 + 3*a**3)*(1125 - 1125 - 2*a + 59*a**2). 118*a**5 - 4*a**4 Expand (3 + 2 - 3)*(5*s - 3*s - 4*s) + (-9 - 13 - 2)*(-6*s + 2*s + 3*s). 20*s Expand (2*j + j - 4*j)*(0*j + j - 2*j) + (2*j + 2 - 2)*(j - 4*j + 2*j) + 4*j - 4*j + j**2 - 4240 + 4240 + 101*j**2. 101*j**2 Expand (-3 + 3 + j)*(j + j - 5*j)*(8*j**3 + 7*j**3 - 19*j**3 - j**2). 12*j**5 + 3*j**4 Expand (-3*v - 6*v - 15*v)*((5 - 3 - 1)*(-2 - 3 + 0) + 0 + 1 + 0 + (3 + 1 - 2)*(-2 + 0 + 1) - 1 + 1 - 1 + 3 + 2 - 4 + 0 - 1 + 2). 120*v Expand (-3 + 3 - 1)*(1 - 2 - 1)*(206*v + 163*v - 73*v). 592*v Expand 5*c**3 - c**3 - 5*c**3 + (2*c + 2*c - 2*c)*(-2 - 329*c**2 - 3 + 214*c**2). -231*c**3 - 10*c Expand -3*c + 4*c + 0*c + (2*c - 8*c + 2*c)*(4 + 4 - 4). -15*c Expand j**3 + 0*j**2 - 2*j**2 + 2*j**3 + (-32*j**3 - 35*j**3 - 33*j**3)*(6 - 3 - 1). -197*j**3 - 2*j**2 Expand (-4*k + 0 + 0)*(0 + 1 - 7)*(1 + 2*k - 1). 48*k**2 Expand (-49*u - 24*u - 42*u)*(-4 + 4 - u**2). 115*u**3 Expand (19*s**2 - 4*s**2 - 5*s**2)*(-s - s - s) - 1 - s**3 + 1 + (-5*s**3 + 3*s**3 + 3*s**3)*(1 + 1 - 3) + 2*s**3 - 6*s**3 + 3*s**3. -33*s**3 Expand (0 + 0 + 3*h**2)*(-1 + 0 + 2)*(-h - h + h)*(-34 + 23 - 54). 195*h**3 Expand 18*g + 2*g + 44*g - 2*g + g + 3*g - 3 + 2*g + 3 + (1 - 4 + 4)*(-2*g - 4*g + 5*g) + 3*g - 3*g + 2*g. 69*g Expand (-2*j + 3*j + j)*(4*j - 3 + 3 + (3 - 3 + 2*j)*(2 + 5 - 5) + 5*j + 0*j -
{ "pile_set_name": "DM Mathematics" }
ecimal place. -3.3 Let c(n) = 3*n**2 - 55*n - 43. Let b be c(19). Let a be (-1995 + b)/((-1)/(-8350)). Round a to the nearest 1000000. -17000000 Let b = -76 - -43. Let r = b - -32.984. Let g = r + -0.058. Round g to 2 dps. -0.07 Let d be ((-5)/(-15) + 0)/((-1)/15). Let x be (10 + d + -6)*(1 - 1). What is x rounded to two decimal places? 0 Let c = -13487.99975626 - -13488. What is c rounded to 5 dps? 0.00024 Let o(v) = 62138*v**3 - 19*v**2 - 15*v + 6. Let f(n) = -n - 44. Let x be f(-35). Let s be o(x). What is s rounded to the nearest one million? -45000000 Let m = 187 - 290. Let i = m - -102.878. What is i rounded to two dps? -0.12 Let f = 52.69 - 53. Let v = -56.69 + f. Let s = v + 56.93. Round s to two decimal places. -0.07 Let y = -63.1 + 63.0999924762. What is y rounded to seven dps? -0.0000075 Let g = 772236.29759667 + -772628.2976. Let b = -392 - g. What is b rounded to 6 dps? 0.000003 Let n = 0.22796128 - 0.2278. Round n to 5 decimal places. 0.00016 Let p = 2.16954 - -0.22596. Round p to two decimal places. 2.4 Suppose -16956800000 = -20*c - 60*c. Round c to the nearest one million. 212000000 Let t = 219.42 - 226.2. What is t rounded to one dp? -6.8 Suppose -3*p - 12 = -2*p. Let j be 6/(-36) + (-62)/p. Suppose -j*k = d + 1215, -k + 4923 = -4*d - 0*k. Round d to the nearest one hundred. -1200 Let d = -23.4 + 23.377. Let h = d + -0.255. Round h to two dps. -0.28 Let t = 3.1561 + -3.47016. What is t rounded to two decimal places? -0.31 Let w = -72 - -137. Let d = w + -21.5. What is d rounded to the nearest 10? 40 Let i = 4094.715 + -4082. What is i rounded to 1 dp? 12.7 Let h = -724279 + 720578.37. Let i = h + 3700.61449769. Let j = -0.0155 - i. Round j to seven dps. 0.0000023 Let g = 0.181 - 0.14344. Let a = 1348.04 - 1348. Let r = a - g. Round r to 3 dps. 0.002 Let d = -23375.3 + 22302. What is d rounded to the nearest 10? -1070 Suppose -4*i = 9 + 3. Let l be (-52)/(-8) - i/(-2). Suppose g + 1531194 = 5*b - 2868806, -5*b + 22000000 = -l*g. What is g rounded to the nearest 1000000? -4000000 Suppose 4406137 = -7*m + 49*m + 112897. What is m rounded to the nearest one hundred thousand? 100000 Let a = -84 + -125.3. What is a rounded to the nearest ten? -210 Let m(n) = -1238750*n. Let h(a) = -a**2 - 12*a + 26. Let w be h(-12). Let v be (-8)/(-10)*(16 - w). Let s be m(v). What is s rounded to the nearest 1000000? 10000000 Let h = -717.9029 - -717.6. Let y = -172.9971 + h. What is y rounded to zero decimal places? -173 Let q = -2355 - -2520. Round q to the nearest 10. 170 Let k = 390 + -563. Let c = -173.00000545 - k. What is c rounded to 6 decimal places? -0.000005 Suppose 405*g = 410*g - 20. Let r(l) = -30*l**3 - 4*l**2 + 3*l - 6. Let s be r(g). What is s rounded to the nearest 100? -2000 Let n = 3825 + -3824.999983755. Round n to 7 decimal places. 0.0000162 Suppose -11*s - 8*s + 95 = 0. Suppose 2*z + 2*z + 10474 = s*w, -7856 = 3*z - 4*w. What is z rounded to the nearest 100? -2600 Let k(v) = -v**3 - 6*v**2 - 12*v - 1. Let m be k(-4). Let h be ((-680)/m)/(16/(-72)). Round h to the nearest 10. 200 Let w = 3546 + -6183. Let z = -2669.58 - w. Let l = 32 + z. What is l rounded to one decimal place? -0.6 Let r = -0.01792 + 0.02669. Round r to 3 decimal places. 0.009 Let b = 0.2228636 - 0.0658709. Let k = 195.157 - 195. Let u = b - k. Round u to six decimal places. -0.000007 Let a be (2 - 1) + 1 - (-364)/2. Suppose -4*x + a = 4*s + 36, -86 = -3*x + 2*s. Suppose -x*c - 1992 = -38*c. What is c rounded to the nearest 100? 300 Let j = 2877.7944 + 3.7056. Round j to the nearest 1000. 3000 Let j = 0.4 - 0.336. Let q = 0.00134 - 29.66534. Let f = j + q. Round f to the nearest ten. -30 Let y = -73 + 203. Let t = y - 146. Let v = -15.9774 - t. What is v rounded to three dps? 0.023 Let a = -4708 - -4707.999999583. What is a rounded to 7 decimal places? -0.0000004 Let j = -5655450 - -3783972. Let x = j - -1316478. Round x to the nearest 10000. -560000 Let q = -268675 + 268834.267. Let g = 159 - q. What is g rounded to 2 dps? -0.27 Let o = 4.24 + -0.24. Let w = -4.052 + o. Let h = -0.0523 - w. What is h rounded to 4 dps? -0.0003 Let j = -11739.99965642 - -11740. What is j rounded to five dps? 0.00034 Let v = 30139.7771 - 30141. What is v rounded to 1 dp? -1.2 Suppose -98 = -5*q + 5477. What is q rounded to the nearest 1000? 1000 Let l = 25906.89231092 + 4836763.60769208. Let z = -4862617.5 + l. Let b = z - 53. What is b rounded to five decimal places? 0 Let g = -1299.716 - -1291. Round g to 1 dp. -8.7 Let n = -0.19676 + 1928.49676. What is n rounded to the nearest 10? 1930 Let s = -150.966 - -150.9659922601. Round s to six decimal places. -0.000008 Let w = -32.337 - -32.2. Let x = w - -0.136999. What is x rounded to 6 dps? -0.000001 Suppose -4 = 3*m - 19. Suppose -x = -2*j + x + 16392, 4*j - m*x = 32780. Suppose -15*q + 17*q + j = 0. Round q to the nearest one thousand. -4000 Let a = 3279 - 3279.00056263. Round a to five decimal places. -0.00056 Let f = 21248846 + -21247500.0803. Let o = 1346 - f. What is o rounded to 2 decimal places? 0.08 Let y(p) = -p**2 - p - 90. Let v be y(0). Let j = v + 201. Suppose 1719 = k - j. What is k rounded to the nearest 100? 1800 Let q(a) = 3078*a + 16699*a + 57327*a - 337 + 56904*a - 17415*a. Let b be q(9). What is b rounded to the nearest one hundred thousand? 1000000 Let j = -256 + 268.85. Let h = j - 30.78. What is h rounded to the nearest integer? -18 Let g = -0.0422868 + -2781017.9577132. Let s = -2781017.1000004 - g. Let n = s + -0.9. Round n to 6 decimal places. 0 Let l be 18545 - (6*1/3 + -4). Let h = 32927 - l. Round h to the nearest one thousand. 14000 Let z = -3613.09271 + 3613. Round z to two decimal places. -0.09 Let s = 0.1155 + 26.6925. Let g = s - 26.5. What is g rounded to 2 decimal places? 0.31 Let x = 0.013899 - -42.040101. Let f = 42 - x. What is f rounded to 2 decimal places? -0.05 Let i be (-28)/(-42) - (-3640)/(-6). Let k = i - 1214. What is k rounded to the nearest 1000? -2000 Let o = -363 + 753. Let t = o + -264. Let w = t + -126.0000059. Round w to 6 dps. -0.000006 Let d = -4591.99999398 + 4592. Round d to 6 decimal places. 0.000006 Let i = -3271.08 + 3202. Round i to the nearest integer. -69 Let h = -217 - -161. Let j = -708173595.00000044 + 708173539. Let v = j - h. Round v to seven dps. -0.0000004 Let u = 244.57643 - 0.38643. What is u rounded to the nearest ten? 240 Let r = 64 + 240. Let v = r + -370.8. What is v rounded to the nearest integer? -67 Let h = -13.21 - 201.765. Let r = h + 216. What is r rounded to one dp? 1 Let j = 73190.706 + -73515. Let g = -329.85 + 5.85. Let f = j - g. Round f to 2 decimal places. -0.29 Let x(n) = -52622*n**3 - n**2 + 4*n. Let u = 121 + -124. Let a be x(u). Let t = a - 796773. What is t rounded to the nearest 100000? 600000 Let g = -252.7 - -253.2369. Let i = 0.0799 - g. What is i rounded to two dps? -0.46 Let c = -76.3 + 18. Let h = c - -59. Round h to 0 dps. 1 Let t = 1.44995 + -2.1335. Round t to 2 decimal places. -0.68 Let c = -9243 - -9244.9244. Let f = -0.0094 + c. Round f to one dp. 1.9 Let c = -26377 + 26414.498. What is c rounded to 0 decimal places? 37 Let j = -12670 - -3577. Let b = j + 13793. Round b to the nearest one hundred. 4700 Let a = 21542.9999869544 + -21543. Round a to seven dps. -0.000013 Let w = -17 + 25. Let r = w - 6. Suppose 5*j + 400020 = r*s, -2*j + 599996 = 3*s - j. What is s rounded to the nearest ten thousand? 200000 Let f = -4.36700354 - -4.367. Round f to seven decimal places. -0.0000035 Let p = 819.082117222 - -1.917813478. Let c = p - 821. What is c rounded to 6 dps? -0.000069 Let d = -1246.59 - -1254. Let h = -8.185 + d. Round h to 2 dps. -0.78 Let l = 39176.276 - 39411. What is l rounded to the nearest 10? -230 Let t = 0.871 - 446.871. Let v = t + 444.004. What is v rounded to one dp? -2 Let v = 260935.078413 + -257898.3714. Let h = 3236.7069 - v. Let k = -200 + h. Round k to 5 decimal places. -0.00011 Let v = -4111.933 + 4111. What is v rounded to one decimal place? -0.9 Let y = -2377802 + 4373602. Round y to the nearest one hundred thousand. 2000000 Suppose 0 = 4*t - 5*k - 150782, -38275 + 226773 = 5*t + 4*k. Suppose 2*i = -2*x + 5*x + 113096, -i = -x - t. What is x rounded to the nearest 10000? -40000 Let p = -709.9 -
{ "pile_set_name": "DM Mathematics" }
e s. 0 Rearrange (3*o + 3*o - 5*o)*(4 - 4 - 12*o) - 3*o**2 + 4*o**2 - 9*o**2 to the form r*o**2 + n*o + m and give r. -20 Rearrange (34*c + 39*c - 15*c)*(2 - 3 + 3) to q + m*c and give m. 116 Express (5*g - 3*g + 0*g)*(65 - 37 - 35) as z*g + d and give z. -14 Rearrange (0*r**2 + 3*r**2 + 0*r**2)*(3 - 3 + 1)*(-1 - 1 + 5) to a + p*r + l*r**2 and give l. 9 Rearrange n**3 - 2*n**3 - 2*n - 27 - 2*n**3 + 4*n**3 to w + b*n**3 + j*n**2 + z*n and give z. -2 Express -21*k - 49 + 49 in the form o + w*k and give w. -21 Rearrange 40*q**2 + 47*q**2 + 16*q**2 to z*q**2 + a + v*q and give z. 103 Express 11*g**2 + 304*g - 304*g - 7*g**2 - 11 in the form m*g**2 + a + t*g and give t. 0 Rearrange (5 - 4 + 1)*(-4 - 2 + 4)*(81*b + 28*b + 6*b) to l*b + m and give l. -460 Express i**2 - 2*i**2 + i - 4*i + 0*i**2 - 3*i**4 as h*i**4 + v*i**3 + w*i + o*i**2 + j and give w. -3 Rearrange -11*r**2 + r**2 - 2 + 0*r**2 + 0*r**2 to the form m*r + u*r**2 + i and give u. -10 Rearrange -75 + 75 - 18*h to the form v*h + d and give v. -18 Express (-2 + 25*q - 164*q - 167*q)*(-2*q + q + 0*q) - 2*q**2 + q**2 - q**2 as k*q**2 + v + l*q and give l. 2 Express (3*m**2 + 2*m**2 - 3*m**2)*(-6*m + 3*m + 2*m)*(-1172 - 138*m + 1172) as a + n*m + x*m**4 + b*m**2 + g*m**3 and give x. 276 Express -8 - 8*v**4 + 11*v**4 + 2*v + 7 - 4*v**3 in the form l*v**2 + x*v**3 + p*v + g*v**4 + r and give g. 3 Express 0*v + v + 20*v**3 - 17*v**3 in the form m + r*v**3 + x*v**2 + q*v and give x. 0 Express 21*m + 5*m**2 - 21*m + 68*m**2 as r*m**2 + h + t*m and give h. 0 Rearrange (-5*t**4 + 2*t**4 + 2*t**4)*(3 + 0 + 0 + (-4 + 2 + 4)*(-7 + 3 + 2)) to n*t**3 + s*t + a + r*t**4 + b*t**2 and give r. 1 Rearrange (2*o - o - 2*o)*(-20*o - 18*o + 7*o) + 6 - o**2 - 1 - 4 to w*o + x + n*o**2 and give n. 30 Express -29*m**2 - m**3 + 29*m**2 + 3*m as p*m**2 + i*m + c + y*m**3 and give i. 3 Rearrange d**3 + 4*d**3 - 3*d**3 + 2 - 5 - 2*d**2 to q*d + z*d**2 + k + u*d**3 and give k. -3 Rearrange 12*k**3 - 3 + 1 + 0 - k**4 to the form t*k**3 + q*k**4 + g*k**2 + v*k + n and give n. -2 Express 3*t**3 + 10*t + 6*t**4 + 2 - 11*t - 5*t**3 - 27*t**4 as i + f*t + n*t**4 + v*t**3 + u*t**2 and give n. -21 Rearrange (-13*g + 22*g - 12*g)*(-g**2 + 1 - 1)*(0 + 0 - g) to the form r*g**4 + s*g + d + p*g**3 + k*g**2 and give p. 0 Express -38 - 38 + 9*a**2 + 77 as t + y*a**2 + s*a and give y. 9 Rearrange -2*w**3 + 0*w + w + w + w**3 to x*w**2 + l + k*w + q*w**3 and give k. 2 Express 27*b**4 + 7*b**4 + 0 + 0 + b**3 - 2*b**2 - 1 in the form m*b**4 + t*b + w*b**3 + x + y*b**2 and give y. -2 Express 3*k - 2*k + 0*k + (k + 7 - 7)*(-3 - 4 + 2) as w + u*k and give u. -4 Express (-4*p**2 + p**2 + 6*p**2)*(-15 + 3 + 3) as u*p**2 + x*p + i and give x. 0 Rearrange (2*i + i - 5*i)*(2 + 3 - 3)*(-50 + 36 - 32) to v*i + l and give v. 184 Rearrange -12 + 47*z**3 - 28*z**3 - 18*z**3 - 2*z**2 to x*z**3 + a + u*z + v*z**2 and give x. 1 Express -18*u - 22 + 22 as x + a*u and give a. -18 Rearrange 0*x**4 + x**4 + 4 - 2*x - 3*x**2 - 3 + 0 to h*x**3 + i*x**2 + r*x + s*x**4 + o and give r. -2 Express 4*j - j**2 - 1 + 1 as q*j**2 + b + l*j and give l. 4 Rearrange -9*t - 9*t**2 - 7*t**3 + 11*t**2 + 8*t to n*t**2 + d*t**3 + m + g*t and give d. -7 Express -24*v**2 + 77*v**2 + 28 - 26 in the form o*v**2 + a*v + j and give o. 53 Express 2106 + 6*a - 2106 - 3*a**2 in the form v + q*a + x*a**2 and give x. -3 Express (-851*o + 851*o - 2*o**2)*(-o**2 - 2*o**2 + 4*o**2) in the form v*o**3 + m*o**2 + u*o + n*o**4 + s and give n. -2 Express (4*b + 2*b**2 - 4*b)*(-5*b + 5*b + 8*b) - 2*b**3 + 0*b**3 + 5*b**3 as t*b**3 + q*b**2 + s + r*b and give t. 19 Rearrange (-1 + 2 + 1)*(-d + 0 + 0) + 2*d + 2*d - 2*d + (-d + 3 - 3)*(3 - 3 - 1) + 3*d - 5*d + 0*d to k + s*d and give s. -1 Rearrange (1 + 1 + 2 + (-4 + 0 - 1)*(3 + 5 - 3))*(2 - 2*u - 2) to the form n*u + q and give q. 0 Rearrange (-i**3 + 4*i**3 - i**3)*(3*i - 64*i - 18*i) to p*i + n*i**4 + s + j*i**3 + u*i**2 and give n. -158 Rearrange -4*v**2 + 11*v - 12*v - v - 4 to the form f*v + n + i*v**2 and give i. -4 Express -16*w**3 + 16*w**3 + 3*w**4 + (2*w - 3 + 3)*(-2*w**3 - w**2 + w**2) as j*w**3 + z*w + n + f*w**2 + l*w**4 and give l. -1 Express 1 + 6*y - 11*y - y**4 - 6*y**2 + 3*y**2 in the form t*y + i*y**4 + a*y**3 + g + w*y**2 and give g. 1 Express 55*i + 1 - 1 - 22*i as j*i + z and give j. 33 Express 6*a**3 - 6*a**3 + a**4 + 0 - 5 + 2*a**2 as b + m*a**3 + f*a**2 + q*a**4 + l*a and give b. -5 Express 6*c + 6 - 6 + 19*c in the form g*c + v and give g. 25 Rearrange (-5 + 2 + h - 1)*(0*h**2 - 5*h**2 + 9*h**2)*(-8 + 8 + 8*h) to the form j*h**2 + z*h + a*h**3 + g + y*h**4 and give y. 32 Express -2*t**2 - 3*t**2 + 5*t**2 - t**2 as o*t + w*t**2 + f and give w. -1 Express -3*b**3 - b**3 + 3*b**3 + b**2 + 3*b + 3*b**3 in the form i*b + a*b**2 + s*b**3 + m and give a. 1 Express 2*a - 2*a - a**3 + (-4 - 3*a + 4)*(-a**2 + 3*a**2 + 0*a**2) as v + m*a**3 + p*a**2 + s*a and give s. 0 Express 1 - 2*k**4 - 3*k**3 - k**2 - 6*k**3 + 8*k**3 - 3*k**3 in the form j*k**4 + q*k + n*k**2 + a + c*k**3 and give c. -4 Rearrange (-2*v + 0*v + v)*(-2 + 1 + 0) + v + 73 - 71 - 9*v to n*v + f and give f. 2 Rearrange -76 + 2*d + 76 to t*d + v and give t. 2 Rearrange n**3 + 2*n**2 - n**2 + 2*n**3 + n**3 to the form j*n**3 + h*n + k + q*n**2 and give j. 4 Rearrange (-4*n + 4*n + 8*n)*(2*n + 6*n + n) to b*n + f*n**2 + v and give f. 72 Rearrange (2 - y**2 - 2)*(0 - 4 + 5) + y**2 + 5*y**2 + 0*y**2 - y**2 - 2*y**2 + y**2 + (-5 - 2*y + 5)*(2*y - 5*y + 4*y) to l*y**2 + s + f*y and give l. 1 Rearrange -4*u + 2*u - u + 6*u to a + p*u and give a. 0 Express 1732*v**2 + 13 - 1732*v**2 - v**3 - v**3 in the form p*v + b*v**3 + s + m*v**2 and give b. -2 Rearrange (0*h + 0*h + 44 + h)*(0*h**2 - 5*h**2 + h**2) to the form b + k*h**2 + r*h**3 + t*h and give r. -4 Rearrange 138 - 2*k**2 - 134 - 4*k**2 + (2*k**2 + k**2 - 2*k**2)*(-5 + 5 + 2) to w + m*k**2 + u*k and give w. 4 Express (2*f**2 - 1 + 3 + 0*f**2)*(-3*f + f + 4*f)*(61 + 32 - 23) in the form k*f**2 + i*f**3 + y*f + d and give k. 0 Rearrange -5*q**2 + 3*q**4 + 3*q**2 + 1 + q**3 + 0*q**4 to w*q**3 + c*q + r + l*q**2 + d*q**4 and give r. 1 Rearrange -45*f**2 + 5*f**3 + 7*f + 45*f**2 + f + 2 to u + b*f + c*f**2 + h*f**3 and give b. 8 Express -3*p - 7*p + 0*p in the form f + i*p and give i. -10 Express -3*p**3 - 3*p**3 + 4*p**3 + 2*p + p**2 - p**3 - 7 as i*p**3 + d*p + k*p**2 + u and give i. -3 Rearrange -14*s + s**2 + 21*s**2 + 14*s to g + k*s + q*s**2 and give q. 22 Express -13*m + 7*m - 17*m as c + x*m and give x. -23 Rearrange 3*q - q**4 + q**3 + 1 - 6*q + 2*q + 2*q**3 to a*q + j*q**3 + m*q**2 + n + b*q**4 and give a. -1 Rearrange 0*h - 8*h + 37*h + (-1 - 3 + 5)*(-h - 2*h + 2*h) to the form j + o*h and give o. 28 Rearrange y - y - 12 + y**4 + 13 - 3*y**2 to l*y**4 + j*y**2 + h*y**3 + b + f*y and give l. 1 Rearrange v**4 - v**4 + 2*v**4 + (v**3 + 4*v**3 - 4*v**3)*(-6*v + 44*v + 6*v) to h*v**4 + j*v + b*v**2 + p*v**3 + z and give h. 46 Express -18*z**2 + 12 - 12 in the form y + u*z**2 + j*z and give u. -18 Express (5 - 5 + 2)*(-1 - 5 + 3)*(3*d - 3*d + 11*d) in the form b + i*d and give i. -66 Express -2*c**4 + 0*c**3 + 0*c**3 + (-969 + 63*c**2 + 969)*(-3*c**2 + 0*c**2 + c**2) in the form k*c**4 + l + t*c**3 + i*c + m*c**2 and give k. -128 Express -2*h - h + 7*h + (-1 + 1 - 2*h)*(0 + 4 + 0) in the form g + a*h and give a. -4 Express -5*z**3 + 119*z**4 - 120*z**4 + 3*z - 2*z**3 - 5*z in the form y + t*z**2 + m*z + x*z**4 + c*z**3 and give x. -1 Express (3*l - 3*l + l)*(3 - 2 + 0) + (-1 - 3 + 1)*(-3 + 3 - 6*l) as f*l + w and give f. 19 Rearrange 10*z + 18*z + 17*z + 8*z to the form y + l*z and give l. 53 Rearrange -3*y**2 - 13*y**2 + 13*y**2 - 5*y**3 + 4 + 0*y**2 to f*y + g*y**3 + w*y**2 + n and give n. 4 Rearrange 27 - 10 - 11*j - 17 to l*j + h and give l. -11 Express -3*z**3 - 33*z**2 + 5 + 36*z**2 - 6*z - 5 as h*z + w*z**2 + y*z**3 + m and give y. -3 Express 2 + 5*h**3 + 2*h - 3*h**3 + h**2 - h**2 as u + r*h**3 + f*h + k*h**2 and give r. 2 Rearrange -5*y - 13*y + 7*y to q*y + k and give q. -11 Rearrange 14 + 15 - 8*s - 31 to the form h + o*s and give h. -2 Express q**3 - 10 + 9 - 3*q**4 + 2*q**4 + 4*q as r*q**2 + b + z*q + w*q**3 + o*q**4 and give b. -1 Express 2 - 2*h + 5 + 3 - 8 in the form x*h + f and give x. -2 Expres
{ "pile_set_name": "DM Mathematics" }
23652272 Calculate the common denominator of 59/3825 and -29/315. 26775 Calculate the common denominator of 31/1947418 and 19. 1947418 What is the common denominator of 107/10 and -85/131972? 659860 What is the lowest common multiple of 36532 and 146128? 146128 Calculate the smallest common multiple of 4940 and 7345. 558220 Calculate the common denominator of -83/10332 and -97/180810. 361620 What is the least common multiple of 58731 and 21? 411117 Find the common denominator of -83/16524 and -125/24. 33048 Find the common denominator of -15 and -79/4053. 4053 Calculate the smallest common multiple of 5265 and 10530. 10530 Calculate the least common multiple of 6775 and 2981. 74525 What is the lowest common multiple of 574 and 3157? 6314 What is the common denominator of -1/19932 and -73/311664? 3428304 Calculate the lowest common multiple of 141722 and 70861. 141722 Find the common denominator of -119/11290 and -71/2258. 11290 What is the smallest common multiple of 783060 and 36? 2349180 Calculate the common denominator of -4/38573 and 47/119. 270011 What is the common denominator of 139/9330 and 83/14928? 74640 What is the smallest common multiple of 2346 and 56304? 56304 Find the common denominator of -71/18 and 133/12888. 12888 Calculate the least common multiple of 1664 and 40352. 161408 What is the common denominator of -101/216 and -91/156006? 624024 Calculate the common denominator of 93/2312 and -3/67915. 543320 Calculate the smallest common multiple of 914962 and 1471. 914962 What is the lowest common multiple of 59070 and 37590? 413490 Calculate the common denominator of 17/552 and -101/2520. 57960 Calculate the common denominator of 19/10908 and -37/303. 10908 Calculate the common denominator of -14/248775 and -79/2325. 248775 Calculate the common denominator of -31/204 and -133/120. 2040 What is the least common multiple of 252 and 6234? 261828 What is the least common multiple of 798 and 16302? 114114 Calculate the least common multiple of 22 and 472. 5192 Calculate the common denominator of 35/484 and 127/792. 8712 What is the lowest common multiple of 1240 and 632524? 6325240 Calculate the common denominator of 131/264444 and 14/5. 1322220 Find the common denominator of 131/6 and -101/59380. 178140 Find the common denominator of 107/1560 and 131/650. 7800 What is the common denominator of 1/5070 and 83/3900? 50700 Calculate the least common multiple of 5904 and 6478. 466416 What is the least common multiple of 15237 and 18623? 167607 What is the smallest common multiple of 218925 and 29190? 437850 What is the smallest common multiple of 1 and 9451? 9451 Calculate the lowest common multiple of 9428 and 21213. 84852 What is the common denominator of 157/57912 and -47/2667? 405384 Find the common denominator of -73/18 and -47/32526. 32526 Calculate the common denominator of -41/2932 and -59/44. 32252 What is the lowest common multiple of 612 and 31212? 31212 Calculate the least common multiple of 93 and 279. 279 What is the common denominator of -31/112 and -31/3712? 25984 What is the common denominator of -113/12048 and -79/100400? 301200 Calculate the least common multiple of 192 and 736. 4416 Calculate the common denominator of 37/570 and -79/13585. 81510 What is the common denominator of 53/22781 and -3/76? 91124 What is the lowest common multiple of 322 and 202? 32522 What is the lowest common multiple of 15 and 2085? 2085 Calculate the common denominator of 5/36698 and 61/1244. 73396 Find the common denominator of 49/1184 and -143/72. 10656 Calculate the lowest common multiple of 153 and 765. 765 What is the lowest common multiple of 105320 and 315960? 315960 What is the smallest common multiple of 50 and 14215? 142150 What is the common denominator of 53/5302 and 27/12532? 137852 Calculate the smallest common multiple of 19698 and 36783. 3604734 Calculate the lowest common multiple of 435564 and 22. 4791204 Find the common denominator of 69/112618 and -1/220. 1126180 What is the common denominator of 89/260 and -67/16216? 1054040 What is the lowest common multiple of 58175 and 6? 349050 What is the common denominator of 43/140 and 93/10136? 50680 Calculate the lowest common multiple of 240 and 13360. 40080 What is the common denominator of -68/2289 and 173/3270? 22890 What is the least common multiple of 30 and 9135? 18270 Calculate the least common multiple of 434 and 5446. 168826 What is the common denominator of 91/148875 and 119/7146? 893250 What is the common denominator of 19/33 and -7/101139? 1112529 Find the common denominator of -1/340671 and -121/12. 1362684 Find the common denominator of 129/170 and -199/529380. 529380 Calculate the common denominator of 39/14519 and -54/72595. 72595 Calculate the least common multiple of 15 and 3060. 3060 What is the least common multiple of 2200 and 127050? 508200 Find the common denominator of 57/3566 and -65/6. 10698 Calculate the lowest common multiple of 111148 and 10. 555740 Calculate the lowest common multiple of 16450 and 3008. 526400 Calculate the common denominator of -17/10 and -27/715199. 7151990 What is the lowest common multiple of 98748 and 99? 1086228 Calculate the common denominator of 7/1935 and -38/22005. 946215 What is the least common multiple of 66 and 6342? 69762 What is the common denominator of 25/226884 and -65/1708? 13839924 Calculate the common denominator of 27/3943 and -149/165606. 165606 Calculate the lowest common multiple of 7209 and 36045. 36045 Calculate the common denominator of -1/78234 and 109/28730. 5085210 Calculate the common denominator of 109/96 and -27/142328. 1707936 Calculate the lowest common multiple of 6424 and 22528. 1644544 Calculate the smallest common multiple of 24 and 638. 7656 What is the common denominator of -143/2170 and -2/1045289? 10452890 Calculate the lowest common multiple of 1836 and 216852. 1951668 Calculate the common denominator of -3/85546 and 9/52. 2224196 Calculate the least common multiple of 51348 and 42012. 462132 What is the least common multiple of 36 and 306? 612 Calculate the lowest common multiple of 63 and 315924. 947772 What is the lowest common multiple of 62 and 6834? 211854 Calculate the lowest common multiple of 267618 and 11. 2943798 Find the common denominator of 50/273 and 31/1131. 7917 Calculate the least common multiple of 1421 and 145. 7105 Calculate the lowest common multiple of 5676 and 1032. 11352 What is the smallest common multiple of 201 and 11658? 11658 Calculate the least common multiple of 254646 and 60630. 1273230 Calculate the least common multiple of 2052 and 6048. 114912 What is the lowest common multiple of 624 and 321? 66768 What is the common denominator of -85/1738 and 109/1106? 12166 Find the common denominator of 53/246 and -79/10455. 20910 What is the least common multiple of 328 and 33784? 33784 What is the least common multiple of 8524 and 4262? 8524 What is the lowest common multiple of 24882 and 9048? 99528 Find the common denominator of -14/134611 and -5/1816. 1076888 What is the least common multiple of 380268 and 3? 380268 What is the common denominator of 79/161055 and 67/42? 2254770 What is the common denominator of -31/48 and -69/9496? 56976 Find the common denominator of -31/1845 and -107/7710. 948330 Find the common denominator of -53/10570 and 13/105. 31710 Calculate the common denominator of 191/630 and 19/17136. 85680 Calculate the lowest common multiple of 1490892 and 380. 7454460 Calculate the lowest common multiple of 1917335 and 11. 21090685 Calculate the common denominator of 53/93 and -34/4887. 151497 Find the common denominator of -68/693 and -31/7581. 250173 What is the smallest common multiple of 40960 and 90? 368640 What is the lowest common multiple of 682 and 6? 2046 What is the common denominator of 17/2266 and -61/66? 6798 What is the least common multiple of 16588 and 260? 82940 What is the common denominator of 41/775 and 47/14415? 72075 Find the common denominator of -167/960 and -83/427760. 5133120 Calculate the smallest common multiple of 24057 and 10692. 96228 What is the least common multiple of 88358 and 152? 6715208 What is the smallest common multiple of 7581 and 20577? 144039 What is the common denominator of -39/60064 and -
{ "pile_set_name": "DM Mathematics" }
What is the m'th term of 277, 244, 143, -62, -407, -928, -1661? -6*m**3 + 2*m**2 + 3*m + 278 What is the s'th term of -148, -287, -412, -517, -596, -643, -652, -617? s**3 + s**2 - 149*s - 1 What is the l'th term of -365, -369, -375, -383, -393? -l**2 - l - 363 What is the z'th term of -197, -197, -187, -161, -113, -37, 73, 223? z**3 - z**2 - 4*z - 193 What is the k'th term of 485, 964, 1443, 1922? 479*k + 6 What is the t'th term of -653, -669, -695, -731, -777, -833, -899? -5*t**2 - t - 647 What is the v'th term of 12, -47, -120, -213, -332, -483, -672, -905? -v**3 - v**2 - 49*v + 63 What is the x'th term of -6, 48, 102, 156, 210, 264? 54*x - 60 What is the r'th term of 1244, 2513, 3782? 1269*r - 25 What is the o'th term of -5515, -5516, -5517? -o - 5514 What is the h'th term of -21, -22, -23, -24, -25, -26? -h - 20 What is the o'th term of 17, 91, 301, 713, 1393, 2407? 11*o**3 + 2*o**2 - 9*o + 13 What is the u'th term of -34, -48, -74, -124, -210, -344, -538? -2*u**3 + 6*u**2 - 18*u - 20 What is the y'th term of 9, -77, -307, -753, -1487, -2581, -4107, -6137? -12*y**3 - 2*y + 23 What is the r'th term of 3, -65, -251, -615, -1217, -2117, -3375? -10*r**3 + r**2 - r + 13 What is the k'th term of 49, 186, 413, 730? 45*k**2 + 2*k + 2 What is the a'th term of -248, -1002, -2258, -4016, -6276, -9038? -251*a**2 - a + 4 What is the y'th term of -1654, -1652, -1650, -1648, -1646? 2*y - 1656 What is the x'th term of -185, -196, -211, -230, -253, -280, -311? -2*x**2 - 5*x - 178 What is the i'th term of 350, 348, 346, 344, 342, 340? -2*i + 352 What is the v'th term of 3, 11, 19, 27? 8*v - 5 What is the c'th term of 104, 203, 298, 389, 476, 559? -2*c**2 + 105*c + 1 What is the h'th term of -106, -214, -318, -418, -514, -606, -694? 2*h**2 - 114*h + 6 What is the b'th term of 1102, 2204, 3306, 4408? 1102*b What is the u'th term of -43, -49, -57, -67, -79? -u**2 - 3*u - 39 What is the k'th term of -175, -327, -479, -631, -783? -152*k - 23 What is the i'th term of -364, -369, -374, -379? -5*i - 359 What is the o'th term of -387, -774, -1161, -1548, -1935, -2322? -387*o What is the a'th term of 9, 30, 65, 114, 177? 7*a**2 + 2 What is the f'th term of -1, 5, 27, 71, 143? f**3 + 2*f**2 - 7*f + 3 What is the u'th term of -112, -133, -168, -223, -304, -417, -568? -u**3 - u**2 - 11*u - 99 What is the k'th term of -36, -147, -340, -621, -996, -1471, -2052, -2745? -k**3 - 35*k**2 + k - 1 What is the r'th term of 0, -131, -488, -1185, -2336, -4055? -19*r**3 + r**2 - r + 19 What is the i'th term of -109, -109, -111, -115, -121? -i**2 + 3*i - 111 What is the m'th term of -6, -5, -42, -135, -302, -561, -930, -1427? -3*m**3 - m**2 + 25*m - 27 What is the l'th term of -7, -25, -69, -151, -283? -2*l**3 - l**2 - l - 3 What is the d'th term of -525, -521, -517? 4*d - 529 What is the a'th term of -182, -172, -158, -140, -118, -92? 2*a**2 + 4*a - 188 What is the v'th term of -47, -45, -43, -41, -39? 2*v - 49 What is the o'th term of 23, 48, 75, 104, 135? o**2 + 22*o What is the z'th term of -1050, -1049, -1048, -1047, -1046? z - 1051 What is the j'th term of -30, -39, -70, -135, -246? -2*j**3 + j**2 + 2*j - 31 What is the n'th term of 10, 11, 12, 13? n + 9 What is the m'th term of -73, -67, -61, -55? 6*m - 79 What is the a'th term of -52, -103, -154, -205, -256? -51*a - 1 What is the i'th term of 45, 79, 123, 183, 265, 375, 519? i**3 - i**2 + 30*i + 15 What is the o'th term of -29, -49, -79, -125, -193, -289, -419, -589? -o**3 + o**2 - 16*o - 13 What is the k'th term of -24, -50, -86, -132, -188, -254? -5*k**2 - 11*k - 8 What is the p'th term of 976, 1950, 2916, 3868, 4800, 5706, 6580, 7416? -p**3 + 2*p**2 + 975*p What is the x'th term of 5824, 5826, 5828? 2*x + 5822 What is the a'th term of -21, -17, -11, -3, 7, 19, 33? a**2 + a - 23 What is the q'th term of 4, -12, -50, -122, -240, -416, -662? -2*q**3 + q**2 - 5*q + 10 What is the k'th term of 1510, 3012, 4514? 1502*k + 8 What is the x'th term of -44, 6, 238, 742, 1608? 15*x**3 + x**2 - 58*x - 2 What is the f'th term of -30, -28, -26? 2*f - 32 What is the d'th term of -44, -74, -104, -134? -30*d - 14 What is the n'th term of 9174, 9175, 9176, 9177, 9178? n + 9173 What is the g'th term of -405, -398, -393, -390, -389? -g**2 + 10*g - 414 What is the i'th term of -73, -458, -1511, -3568, -6965, -12038? -56*i**3 + 2*i**2 + i - 20 What is the b'th term of 54, 265, 626, 1143, 1822, 2669, 3690? b**3 + 69*b**2 - 3*b - 13 What is the n'th term of -1653, -1654, -1655, -1656, -1657? -n - 1652 What is the o'th term of 6881, 13761, 20639, 27515, 34389, 41261? -o**2 + 6883*o - 1 What is the z'th term of -178, -649, -1428, -2509, -3886? z**3 - 160*z**2 + 2*z - 21 What is the c'th term of 21, 42, 55, 54, 33, -14? -c**3 + 2*c**2 + 22*c - 2 What is the o'th term of 24, 50, 78, 108? o**2 + 23*o What is the m'th term of -495, -425, -315, -171, 1? -m**3 + 26*m**2 - m - 519 What is the b'th term of 102, 101, 100, 99, 98, 97? -b + 103 What is the u'th term of -18, -6, 6, 18, 30, 42? 12*u - 30 What is the o'th term of -2, -5, -2, 13, 46, 103, 190, 313? o**3 - 3*o**2 - o + 1 What is the s'th term of 595, 1187, 1765, 2323, 2855? -s**3 - s**2 + 602*s - 5 What is the m'th term of 461, 441, 421, 401? -20*m + 481 What is the t'th term of -23, -29, -31, -29, -23? 2*t**2 - 12*t - 13 What is the p'th term of -32, 1, 48, 115, 208, 333, 496, 703? p**3 + p**2 + 23*p - 57 What is the z'th term of 19, 21, 11, -23, -93, -211? -2*z**3 + 6*z**2 - 2*z + 17 What is the a'th term of 31, 138, 327, 604, 975, 1446, 2023? a**3 + 35*a**2 - 5*a What is the s'th term of -41, -69, -83, -77, -45, 19, 121? s**3 + s**2 - 38*s - 5 What is the d'th term of 9, -28, -89, -174, -283? -12*d**2 - d + 22 What is the s'th term of -62, -130, -190, -236, -262? s**3 - 2*s**2 - 69*s + 8 What is the a'th term of 634, 1270, 1906, 2542, 3178? 636*a - 2 What is the c'th term of 5010, 5020, 5044, 5088, 5158, 5260? c**3 + c**2 + 5008 What is the q'th term of 4242, 8486, 12730, 16974, 21218, 25462? 4244*q - 2 What is the c'th term of -137, -283, -427, -569? c**2 - 149*c + 11 What is the n'th term of -671, -1354, -2037, -2720, -3403, -4086? -683*n + 12 What is the m'th term of 198, 362, 526, 690, 854, 1018? 164*m + 34 What is the m'th term of -14, -35, -68, -107, -146, -179, -200? m**3 - 12*m**2 + 8*m - 11 What is the j'th term of -11, -5, -7, -29, -83? -2*j**3 + 8*j**2 - 4*j - 13 What is the p'th term of 10, 43, 100, 181? 12*p**2 - 3*p + 1 What is the a'th term of -66, -148, -244, -360, -502, -676, -888? -a**3 - a**2 - 72*a + 8 What is the z'th term of 4, 8, 12, 16? 4*z What is the k'th term of -86, -190, -318, -470, -646? -12*k**2 - 68*k - 6 What is the w'th term of 1274, 2563, 3852? 1289*w - 15 What is the p'th term of 5, 32, 75, 128, 185? -p**3 + 14*p**2 - 8*p What is the y'th term of 421, 844, 1267, 1690, 2113, 2536? 423*y - 2 What is the b'th term of 20, 167, 420, 785, 1268? b**3 + 47*b**2 - b - 27 What is the t'th term of -37, -2, 51, 122, 211? 9*t**2 + 8*t - 54 What is the b'th term of 174, 351, 530, 711? b**2 + 174*b - 1 What is the d'th term of 209, 214, 221, 230? d**2 + 2*d + 206 What is the q'th term of -9, -8, -3, 6, 19, 36? 2*q**2 - 5*q - 6 What is the g'th term of 138, 285, 434, 585, 738, 893? g**2 + 144*g - 7 What is the k'th term of -233, -235, -237, -239, -241? -2*k - 231 What is the b'th term of 40, 42, 46, 52, 60, 70? b**2 - b + 40 What is the r'th term of 17, -11, -53, -115, -203? -r**3 - r**2 - 18*r + 37 What is the c'th term of 6, 14, 26, 42, 62, 86, 114? 2*c**2 + 2*c + 2 What is the n'th term of -93, -310, -671, -1176, -1825, -2618, -3555? -72*n**2 - n - 20 What is the q'th term of -13169, -13167, -13165, -13163? 2*q - 13171 What is the z'th term of 33, 120, 355, 810, 1557, 2668? 12*z**3 + 2*z**2 - 3*z + 22 What is the y'th term of 359, 695, 1031, 1367, 1703, 2039? 336*y + 23 What is the c'th term of -1759, -1763, -1769, -1777, -1787, -1799? -c**2 - c - 1757 What is the v'th term of 644, 646, 650, 656, 664, 674, 686? v**2 - v + 644 What is the f'th term of -71, -130, -221, -338, -475, -626? f**3 - 22*f**2 - 50 What is the g'th term of 142, 271, 484, 781, 1162, 1627? 42*g**2 + 3*g + 97 What is the z'th term of 2940, 5880, 8820, 11760, 14700, 17640? 2940*z What is the z'th
{ "pile_set_name": "DM Mathematics" }
r m(d). 2*(d - 4)*(d - 1)*(d + 1) Let x(t) = 37*t + 300. Let u be x(-8). Let a(b) be the third derivative of -u*b**3 + 0*b + 0 - 1/320*b**6 + 5*b**2 - 3/40*b**5 - 3/4*b**4. Solve a(p) = 0 for p. -4 Let m(j) = -8*j - 4. Let u be m(-2). Let d be (u/(-30))/(1/(-40)). Factor -16*g**5 - 14*g**4 + 6*g**5 - 4*g**2 - 4*g + 14*g**5 + d*g**3 + 2. 2*(g - 1)**4*(2*g + 1) Let o(g) be the second derivative of g**5/50 + 23*g**4/30 + 43*g**3/15 + 21*g**2/5 - 39*g. Let o(l) = 0. Calculate l. -21, -1 Let d be (1 + -1)/(11/22*-10 + 8). Factor d*f + 0 + 0*f**2 + 4/17*f**3 - 2/17*f**4. -2*f**3*(f - 2)/17 Let h(a) be the second derivative of -a**8/2240 + a**7/140 - 4*a**5/5 - 5*a**4/6 - 34*a. Let o(u) be the third derivative of h(u). Find x, given that o(x) = 0. -2, 4 Let y(p) be the first derivative of p**5 + 10*p**4 - 5*p**3 - 55*p**2 + 80*p + 477. Determine j so that y(j) = 0. -8, -2, 1 Let d(s) = -5*s**3 + 163*s**2 - 157*s - 194. Let h(o) = -o**3 + 27*o**2 - 26*o - 32. Let u(c) = -6*d(c) + 39*h(c). Factor u(k). -3*(k - 7)*(k - 2)*(3*k + 2) Let c(r) = 7*r**2 + 33*r + 30. Let l(f) = -60 + 192*f - 15*f**2 + 210*f - 467*f. Let j(h) = 5*c(h) + 2*l(h). Find g such that j(g) = 0. -6, -1 Let s be (-16)/72 + 80/36. Suppose -4*v = 3*v. Factor 0*a - 2*a**s - 5/2*a**4 + 1/2*a**5 + v + 4*a**3. a**2*(a - 2)**2*(a - 1)/2 Let z(l) be the first derivative of l**4/4 + l**3 - 2*l**2 - 12*l - 60. Suppose z(t) = 0. Calculate t. -3, -2, 2 Let v(l) be the first derivative of -3*l**5/20 - 9*l**4/2 - 59*l**3/2 + 117*l**2 - 507*l/4 - 176. Factor v(i). -3*(i - 1)**2*(i + 13)**2/4 Let p = -35 - -29. Let o be ((-34)/p)/(2/12). Solve 6*a + o + 0*a**2 - 3*a**2 - 37 = 0. 1 Let k = -23 - -23. Suppose 2*m - 3*m + 2 = k. Factor 3/2*l**m + 0 + l + 1/2*l**3. l*(l + 1)*(l + 2)/2 Factor -6 + 129*o**2 + 202*o + 8*o**2 - 69*o**2. 2*(o + 3)*(34*o - 1) Suppose -o = 24 - 66. Let h = -40 + o. Suppose -1/3*s**h + 1/3 + 0*s = 0. Calculate s. -1, 1 Let k be 10/35*(-1623)/(-6)*2. Let r = k + -154. Factor 32/7*p**3 + 0 + 2*p**4 + r*p + 22/7*p**2. 2*p*(p + 1)**2*(7*p + 2)/7 Let n(t) = 435*t**2 + 2100*t + 615. Let h(u) = 74*u + 16*u**2 + 15*u**2 + 4*u + 72*u + 44. Let d(k) = 55*h(k) - 4*n(k). Find x such that d(x) = 0. -4, -2/7 Let f(g) be the third derivative of -g**5/30 + g**4/4 - 2*g**3/3 - g**2 + 6*g. Solve f(r) = 0. 1, 2 Factor -264*b**3 - 5130*b**2 - 8*b**4 + 4*b**4 + 264*b + 778*b**2 + 4356. -4*(b - 1)*(b + 1)*(b + 33)**2 Let n(w) be the first derivative of w**6/6 + 11*w**5/5 - 25*w**4/4 + 13*w**3/3 - 74. Factor n(f). f**2*(f - 1)**2*(f + 13) Let d(k) = -k**4 - 3*k**3 + k**2 + k + 1. Let c(x) = 16*x**4 - 62*x**3 - 146*x**2 - 36*x + 29. Let m(i) = c(i) + d(i). Let m(n) = 0. What is n? -1, 1/3, 6 Suppose 6*v = 7*v - 4. Let r(q) be the first derivative of 3/14*q**2 - 1/7*q**3 + v + 3/7*q - 3/28*q**4. Find n, given that r(n) = 0. -1, 1 Let g(w) be the second derivative of -w**7/2940 - w**6/360 - w**5/210 + 5*w**4/6 - 9*w. Let z(k) be the third derivative of g(k). Suppose z(j) = 0. What is j? -2, -1/3 Suppose -485*c**2 + 28 - 315 - 79*c**3 - 5*c**4 - 720*c - 33 - 11*c**3 = 0. What is c? -8, -1 Let h(g) be the first derivative of g**4/36 - 4*g**3/27 + g**2/18 + 2*g/3 + 105. Solve h(i) = 0. -1, 2, 3 Let t(w) = -30*w**4 - 2*w**3 + 136*w**2 + 32*w + 8. Let h(k) = -k**4 + 3*k**3 + k**2 + k + 1. Let f(l) = -8*h(l) + t(l). Let f(o) = 0. What is o? -3, -2/11, 0, 2 Let y(k) be the first derivative of -k**6/15 + 16*k**5/25 - 2*k**4 + 32*k**3/15 + 35. Let y(h) = 0. What is h? 0, 2, 4 Let j(f) be the third derivative of -f**7/735 + f**6/35 - f**5/10 + 5*f**4/42 + 784*f**2. Let j(s) = 0. What is s? 0, 1, 10 Let j(g) be the third derivative of g**5/30 + 13*g**4 + 2028*g**3 + 132*g**2 - g. Factor j(f). 2*(f + 78)**2 Let -8*i**3 + 2185*i**2 - 2*i**3 - 2210*i**2 = 0. Calculate i. -5/2, 0 Factor -2/13*s**3 + 0 + 2/13*s**2 + 4/13*s. -2*s*(s - 2)*(s + 1)/13 Let v(u) be the second derivative of 0*u**2 - 1/4*u**4 + 0 + 1/2*u**3 - 29*u. What is m in v(m) = 0? 0, 1 Factor 115*n**2 + 4*n**3 - 147*n**2 - 4*n**4 + 20*n**3. -4*n**2*(n - 4)*(n - 2) Let c(t) = 10*t - 2*t**2 + 0*t**2 - 4*t - 5 + 3. Let l(f) = -3*f**2 + 6*f - 3. Let x(j) = -6*c(j) + 5*l(j). Solve x(h) = 0. -1 Let w = 35 + -30. Suppose 5*q**2 + w*q**3 - 2309*q + 2309*q - 5*q**5 - 5*q**4 = 0. What is q? -1, 0, 1 Determine h, given that 81/5*h**5 + 553/5*h**3 + 92/5*h - 358/5*h**2 - 72*h**4 - 8/5 = 0. 2/9, 1, 2 Factor 19*i**4 + 80*i**3 + 160*i**2 + 74 - 26 + i**4 + 16 + 160*i + 2*i**5. 2*(i + 2)**5 Let t(w) be the first derivative of 0*w**4 + 0*w**3 - 3/20*w**5 + 0*w + 10 + 0*w**2. Find q such that t(q) = 0. 0 Let p(u) be the first derivative of u**7/630 + u**6/90 + u**5/60 - 6*u**2 - 17. Let n(q) be the second derivative of p(q). What is a in n(a) = 0? -3, -1, 0 Let w = 126/47 + -536/235. Factor w*y**2 + 10 + 4*y. 2*(y + 5)**2/5 Let m(g) be the first derivative of -g**6/120 + g**5/80 + g**4/24 - g - 13. Let o(x) be the first derivative of m(x). Factor o(u). -u**2*(u - 2)*(u + 1)/4 Let v be (-26)/(-3*((-185)/(-45) + -4)). Let k = v - 76. Let 10 + 5/2*h**k + 10*h = 0. Calculate h. -2 Let n(c) be the second derivative of 0 + 3*c**2 + 7/30*c**6 - 13/12*c**4 - 19/6*c**3 + 19/20*c**5 + 6*c. Determine l, given that n(l) = 0. -3, -1, 2/7, 1 Factor -147*d + 211*d**3 - 216*d**3 + 1 - 1 - 60*d**2 - 33*d. -5*d*(d + 6)**2 Let d = -3 + 7. Let s = 2/7807 + 1147619/39035. Factor 72/5*f**2 + 0 - 63/5*f**3 - s*f**d - 12/5*f. -3*f*(f + 1)*(7*f - 2)**2/5 Suppose -8*b - 7 = -127. Let 2*y**3 - 7*y**3 + 9*y + 11*y - b*y**2 = 0. Calculate y. -4, 0, 1 Let z be (4/50)/(7/350*10). Factor -4/5*m + 2/5*m**3 + 0 - z*m**2. 2*m*(m - 2)*(m + 1)/5 Let g(y) be the third derivative of -1/100*y**5 + 0 - 4*y**2 - 1/24*y**4 + 0*y - 1/15*y**3. Factor g(s). -(s + 1)*(3*s + 2)/5 Factor 161 + 155 + 153 + 50*p + 5*p**2 - 389. 5*(p + 2)*(p + 8) Let w be 5/3 + 4/12. Suppose a**4 + 2*a**3 + 0*a**4 - w*a**3 + 3*a**3 - 2 + a**2 - 3*a = 0. What is a? -2, -1, 1 Let v(c) = -c**3 + 4*c**2 + 6*c - 3. Let l be v(5). Suppose 17 = l*g + 11. Solve 8/13 - 16/13*i - 4/13*i**g - 42/13*i**2 + 14/13*i**4 = 0 for i. -1, 2/7, 2 Let q(d) be the third derivative of -d**6/40 - 19*d**5/5 - 73*d**4/8 + 75*d**3 - 657*d**2. Factor q(g). -3*(g - 1)*(g + 2)*(g + 75) Factor 12 + 105*x**3 + x**2 - 24*x - 4*x**2 - 99*x**3. 3*(x - 2)*(x + 2)*(2*x - 1) Let y = 5 + -18. Let b = y + 15. Factor -3*o**b + 1 + 3 + 0 - o**2. -4*(o - 1)*(o + 1) Let r(k) = -4*k**2 + 4*k + 8. Let g(s) = 2*s**2 - 2*s - 4. Let o(z) = 14*g(z) + 6*r(z). Determine v, given that o(v) = 0. -1, 2 Let a = 1 + 4. Suppose 17 = 5*i - 4*i + a*g, -12 = -4*g. Factor 0 + 1/3*q + 5/6*q**i. q*(5*q + 2)/6 Factor 3 - 106*p + 2809/3*p**2. (53*p - 3)**2/3 Let a be (-33)/(-4) + 3/(-12). Let z be (-4)/a*-10*1. Factor 2/7*v**3 + 0*v + 0*v**4 + 0*v**2 + 0 - 2/7*v**z. -2*v**3*(v - 1)*(v + 1)/7 Let n(g) = -g - 9. Let i be n(-5). Let x be i/(-14)*(-280)/(-50). Factor 2/5*c**2 + 6/5 - x*c. 2*(c - 3)*(c - 1)/5 Let q = -331 - -338. Let n(z) be the first derivative of 3/5*z + 0*z**4 - q - 2/5*z**3 + 0*z**2 + 3/25*z**5. Factor n(p). 3*(p - 1)**2*(p + 1)**2/5 Let m(i) be the first derivative of -1/3*i**3 + 1/10*i**5 + 1/4*i**4 - 1/12*i**6 - 1/4*i**2 - 5 + 1/2*i. Factor m(l). -(l - 1)**3*(l + 1)**2/2 Suppose x + 0*x + 3*v + 10 = 0, 0 = 3*x - 5*v - 26. Find h, given that -3*h - h + 3*h**2 - 7*h**x = 0. -1, 0 Let s(d) be the first derivative of d**7/280 - d**6/40 + 3*d**5/40 - d**4/8 - d**3 - 27. Let p(n) be the third derivative of s(n). Factor p(o). 3*(o - 1)**3 Suppose 0 = -7*r - 0 - 7. Let m(u) = u**3 + u**2 - u + 1. Let j(y) = -6*y**3 - 34*y**2 - 146*y - 254. Let w(n) = r*j(n) - 4*m(n). Factor w(f). 2*(f + 5)**3 Let v be (52/39)/((-1)/9*-2). Suppose -v*z + 10 = -z. Determine u so that -6/11*u**z + 8/11*u**3 - 8/11*u - 2/11 + 8/11*u**4 = 0. -1, -1/2, 1 Let a be (-2)/(-3) + 0 - (88 - 88). Solve -2/3*p + a*p**5 + 0*p**3 - 4/3*p**2 + 4/3*p**4 + 0 = 0 for p. -1, 0, 1 Find j, given that -2*j - 20*j**2 + 7*j**3 + 51*j**2 - 21*j**2 - 15*j**2 = 0. -2/7, 0, 1 Suppose 0 = -4*z + 5*c - 3 - 10, -4*c + 20 = 0. Determine j so that j**4 - 19 + j**2 - z*j - 23 + 3*j**3 + 40 = 0. -2, -1, 1 Let q(s) be the second derivative of -2*s**6/75 + 7*s**5/25 - 6*s**4/5 + 8*s**3/3 - 16*s**2/5 + 132*s. Factor q(a). -4*(a - 2)**3*(a - 1)/
{ "pile_set_name": "DM Mathematics" }
ivided by 24? 22 Calculate the remainder when 17574 is divided by 2348. 1138 What is the remainder when 1038408 is divided by 38459? 15 What is the remainder when 1832522 is divided by 72? 50 What is the remainder when 4428149 is divided by 5155? 4 Calculate the remainder when 138545 is divided by 69243. 59 What is the remainder when 162403442 is divided by 298? 296 What is the remainder when 405664 is divided by 1610? 1554 What is the remainder when 1496914 is divided by 425? 64 Calculate the remainder when 94145481 is divided by 291. 288 Calculate the remainder when 85667787 is divided by 390. 387 What is the remainder when 980110 is divided by 26489? 17 Calculate the remainder when 40186377 is divided by 7375. 2 What is the remainder when 7238 is divided by 7212? 26 What is the remainder when 6621924 is divided by 827739? 12 What is the remainder when 1208533 is divided by 217? 60 Calculate the remainder when 7906949 is divided by 27. 26 What is the remainder when 51014930 is divided by 333? 329 What is the remainder when 127867 is divided by 2998? 1951 Calculate the remainder when 2934796 is divided by 366847. 20 What is the remainder when 135180 is divided by 33430? 1460 What is the remainder when 38733 is divided by 868? 541 Calculate the remainder when 575542 is divided by 143718. 670 What is the remainder when 1169103 is divided by 1563? 1542 What is the remainder when 68836 is divided by 298? 296 What is the remainder when 72186779 is divided by 605? 599 Calculate the remainder when 133301327 is divided by 133301324. 3 What is the remainder when 4119294 is divided by 162? 120 What is the remainder when 1627242 is divided by 901? 36 Calculate the remainder when 52603 is divided by 10175. 1728 What is the remainder when 70645536 is divided by 1811424? 0 Calculate the remainder when 15776 is divided by 3750. 776 What is the remainder when 651816 is divided by 24141? 9 Calculate the remainder when 39472 is divided by 39366. 106 What is the remainder when 3911046 is divided by 17? 9 Calculate the remainder when 818941 is divided by 33. 13 Calculate the remainder when 26919014 is divided by 203. 199 Calculate the remainder when 6726 is divided by 2631. 1464 Calculate the remainder when 66276042 is divided by 1406. 14 What is the remainder when 21842166 is divided by 1092108? 6 What is the remainder when 3251651 is divided by 432? 419 What is the remainder when 18220989 is divided by 1221? 6 What is the remainder when 2590252 is divided by 89? 85 Calculate the remainder when 55814638 is divided by 6976829. 6 What is the remainder when 627676 is divided by 627612? 64 What is the remainder when 25463241 is divided by 51? 12 Calculate the remainder when 463372 is divided by 1065. 97 Calculate the remainder when 1233224368 is divided by 5095. 5093 What is the remainder when 2703470 is divided by 30376? 6 Calculate the remainder when 3446725 is divided by 2422. 219 What is the remainder when 36490 is divided by 204? 178 What is the remainder when 545855 is divided by 181881? 212 What is the remainder when 1032881 is divided by 4357? 272 What is the remainder when 15204022 is divided by 72? 70 Calculate the remainder when 14840832 is divided by 27534. 6 Calculate the remainder when 2677535 is divided by 1785. 35 What is the remainder when 889925 is divided by 177? 146 What is the remainder when 209202334 is divided by 144? 142 What is the remainder when 38194369 is divided by 141? 7 Calculate the remainder when 512516 is divided by 11. 4 Calculate the remainder when 25602573 is divided by 419. 416 What is the remainder when 80939445 is divided by 997? 991 Calculate the remainder when 2859127 is divided by 155. 152 What is the remainder when 11075 is divided by 203? 113 What is the remainder when 108556 is divided by 15? 1 Calculate the remainder when 26009 is divided by 8194. 1427 Calculate the remainder when 99409980 is divided by 2686756. 8 What is the remainder when 3131988 is divided by 12? 0 What is the remainder when 24319 is divided by 384? 127 What is the remainder when 977063 is divided by 195408? 23 Calculate the remainder when 43924328 is divided by 33. 8 What is the remainder when 1429824 is divided by 4062? 0 What is the remainder when 1607860 is divided by 21? 16 Calculate the remainder when 55031 is divided by 6475. 3231 Calculate the remainder when 336193 is divided by 83718. 1321 What is the remainder when 567849 is divided by 1868? 1845 What is the remainder when 2615318 is divided by 326914? 6 Calculate the remainder when 719120 is divided by 354678. 9764 What is the remainder when 54501 is divided by 617? 205 What is the remainder when 1418399 is divided by 283668? 59 What is the remainder when 407464 is divided by 135382? 1318 Calculate the remainder when 1102303 is divided by 22951. 655 Calculate the remainder when 3597272 is divided by 218. 54 Calculate the remainder when 865390 is divided by 57651. 625 Calculate the remainder when 1076727 is divided by 42. 15 What is the remainder when 10616567 is divided by 387? 383 Calculate the remainder when 18560 is divided by 1028. 56 Calculate the remainder when 26021 is divided by 1892. 1425 Calculate the remainder when 1270717 is divided by 366. 331 Calculate the remainder when 262623967 is divided by 70. 67 Calculate the remainder when 540129 is divided by 114. 111 What is the remainder when 7555442 is divided by 34? 30 What is the remainder when 1180367 is divided by 103? 90 Calculate the remainder when 1572888 is divided by 20789. 13713 What is the remainder when 11523 is divided by 249? 69 What is the remainder when 23007927 is divided by 51? 42 What is the remainder when 23730 is divided by 383? 367 What is the remainder when 148757 is divided by 1054? 143 What is the remainder when 2207097 is divided by 184? 17 Calculate the remainder when 323205 is divided by 555. 195 Calculate the remainder when 191256 is divided by 12720. 456 Calculate the remainder when 16666 is divided by 5547. 25 Calculate the remainder when 24104405 is divided by 10600. 5 What is the remainder when 2410332 is divided by 126859? 11 Calculate the remainder when 340553 is divided by 2743. 421 What is the remainder when 1009587 is divided by 252394? 11 Calculate the remainder when 139425 is divided by 173. 160 What is the remainder when 14837289 is divided by 252? 33 Calculate the remainder when 52352 is divided by 17316. 404 What is the remainder when 56299856 is divided by 207? 203 What is the remainder when 2243037 is divided by 462? 27 What is the remainder when 5486574 is divided by 3008? 2990 What is the remainder when 237115888 is divided by 18? 16 What is the remainder when 1399525 is divided by 194? 9 Calculate the remainder when 122981 is divided by 60965. 1051 Calculate the remainder when 21365963 is divided by 109010. 3 What is the remainder when 108558 is divided by 37? 0 What is the remainder when 140138335 is divided by 17517291? 7 What is the remainder when 12498948 is divided by 1801? 8 What is the remainder when 487023 is divided by 29? 26 What is the remainder when 1482201 is divided by 92637? 9 Calculate the remainder when 526497 is divided by 37606. 13 Calculate the remainder when 345251 is divided by 1887. 1817 Calculate the remainder when 779870 is divided by 18135. 65 Calculate the remainder when 410900 is divided by 13652. 1340 Calculate the remainder when 488771 is divided by 438. 401 Calculate the remainder when 210817 is divided by 105316. 185 What is the remainder when 33319 is divided by 6531? 664 Calculate the remainder when 192965 is divided by 63. 59 Calculate the remainder when 12352673 is divided by 847. 25 What is the remainder when 255744 is divided by 862? 592 What is the remainder when 2077015 is divided by 37? 20 Calculate the remainder when 2441147 is divided by 1045. 27 What is the remainder when 93671464 is divided by 24? 16 What is the remainder when 264519 is divided by 1632? 135 What is the remainder when 107710 is divided by 26921? 26 Calculate the remainder when 573341 is divided by 14300. 1341 What is the remainder when 303772639 is divided by 2636? 2635 Calculate the remainder when 1066776 is divided by 755. 716 What is the remainder when 261182 is div
{ "pile_set_name": "DM Mathematics" }
n*(n**0/n)/n*n*n)**(-21/4)*(n/(n*n/n**0))**47*(n**(-1/2)*n/n**(2/5)*n)**42 assuming n is positive. n**(-121/20) Simplify r/((r**(7/6)/r)/r)*r**(-16/7)*r*r*((r**(-27)*r*r*r)/r*r*r)/r*r*r**20 assuming r is positive. r**(-61/42) Simplify ((r**(-1/5))**(-4/7)/(r**(2/15)*r*r*r*r*r**(6/7)/r*r*r*r))**46 assuming r is positive. r**(-33212/105) Simplify (o**5/(o*o**(-1)/o))**(4/25)*((o**(-1))**(2/3))**(6/13) assuming o is positive. o**(212/325) Simplify ((l**(1/2))**(2/29)*l**7/(l*l/l**(2/11)))/(l**(-1/10)/(l/((l**8/l*l)/l))*l**(-8)*l**0) assuming l is positive. l**(23339/3190) Simplify s*s**(-2)*(s/(s**(-2/7)/s*s))/s*(s/(s*s*s**(-2/3)))**(2/11)*(s**(-1/7)/s)/(s/s**(1/2))*(s**(-2/7))**(-1/10) assuming s is positive. s**(-5519/2310) Simplify (i**(-28)*i)**25/(i**(-1))**18 assuming i is positive. i**(-657) Simplify (((z*z**(-1/3))/(((z*((z*z/(z**(-3/5)/z))/z)/z)/z)/z))/(z**(-2/7)/(z**(-1/2)/z)))/((z**(-1))**(-3/17)*(z*z**5)/(z**(6/5)*z*z)) assuming z is positive. z**(-14723/3570) Simplify (((l**(-27)/l)/l)/l**(-1/7)*l**25*l**(-2/17))**(2/85) assuming l is positive. l**(-946/10115) Simplify (((((f/((f/(f*f*f**9)*f)/f*f*f*f))/f*f)/f)/f*f)/f**(-5))**17*f**(-2/3)/f**3*(f**1*f)**(-2/55) assuming f is positive. f**(33043/165) Simplify (((u*(u**(-2)*u)/u)/u)**(1/16)/(u*u*u*u**(4/5))**16)**40 assuming u is positive. u**(-2437) Simplify (f**(-1/26))**39/(f**(-2/195))**(-21) assuming f is positive. f**(-223/130) Simplify ((v*(v*v**(1/21))/v)/v**(-8))/(v**(23/4)*v*v*v**(-46)) assuming v is positive. v**(3973/84) Simplify ((q**5/q)/(q**8/q))**(-13)*(q/((q/((q**(-1)*q)/q))/q))**(-8)/(q**(-1/2)/(q**0*q)) assuming q is positive. q**(81/2) Simplify (x*x**(-20)*x**(-1/21)*(x**9*x)/(x/((x/(x/x**(-14)))/x)))**(15/8) assuming x is positive. x**(-1315/28) Simplify (n**0/n)**28/(n**(-1))**(4/11)*((n*n*n**0*n*n)/n**(-1/12))/(n*n**(-2/9))**(4/33) assuming n is positive. n**(-28093/1188) Simplify (((z**30*(z*z*z**(-10/7)*z)/z)**(-1/55))**(1/30))**(-2/117) assuming z is positive. z**(214/675675) Simplify ((r/r**(-7))**(-6)/(((r/r**(-4/5))/r)/r*r/(r*r*r/r**11)*r))**46 assuming r is positive. r**(-13294/5) Simplify (g**(2/35)/g)**4/(g/(g*(g**(15/7)/g)/g))**9 assuming g is positive. g**(-87/35) Simplify ((l**(-1/3)*(l/(l**(-1/17)/l)*l)/l*(l*l/(l**(-2/29)/l)*l)/(l**(5/2)/l))**28)**(-20) assuming l is positive. l**(-3556840/1479) Simplify (a/((((a*(a/a**(-1/4)*a)/a)/a*a)/a)/a)*(a*a**(-1/4))/a)/(a**3/(a/(a/a**(2/7))))*(((a/a**(-2))/a)**(-3/13))**43 assuming a is positive. a**(-4015/182) Simplify ((a*a*a**(-33)*a**(-1/24))/(a**(-29)*a*a**(-2/25)))**36 assuming a is positive. a**(-5331/50) Simplify (((j*j*j*j*j**1)**13*(j*j/j**(1/4)*j)**(-20/7))**12)**(-4) assuming j is positive. j**(-19200/7) Simplify (((d**(-2/9))**(1/32)*d**(-7)/d**1)**(1/24))**(8/11) assuming d is positive. d**(-1153/4752) Simplify (c**(15/7)*c**(-1/4)*(c*c/c**(-17)*c)**(9/5))**(-19) assuming c is positive. c**(-20159/28) Simplify (((r/(r*r*r/((r*r*r**(-8)*r)/r)))/(r/r**(-2/5)*r)*r**1*r**(-2/3)*r*r)**(-2/15))**(-4/9) assuming r is positive. r**(-968/2025) Simplify ((c*c*c/(c*c/((c*c/(c/(c/(c*c*c**7))*c)*c)/c))*c)**(-3/38)/(c**(2/9)*c*c**(-24)*c))**(-7) assuming c is positive. c**(-26635/171) Simplify ((r**0)**37)**(-10/3)*(r**(-2/11)*r*(r/(((r**(-3/5)*r)/r)/r))/r)/(r**2*r*r*r)**29 assuming r is positive. r**(-7842/55) Simplify (((i**9*i)/i**(-27/2))/(i**2)**(-42))**(3/26) assuming i is positive. i**(645/52) Simplify (w**2/(w*(w*w**(2/35)*w)/w*w*w))**(2/3)/((w**(-1/3))**(-7/6)/(w*w*w**(1/11)*w/(w*w/w**(-1/2)))) assuming w is positive. w**(-4052/3465) Simplify (((g/g**(3/2))/((g**3*g*g)/g))/(g**7*g**(-2/3)))/((g/g**(-2)*g**(3/4))/(g**(3/7)/g**7)) assuming g is positive. g**(-1777/84) Simplify (((p**(-2/5)/p)/(p*p**(-4/9)*p*p))/(p/p**1*p)**(-2/73))/(((p**(2/3)/p)/(p/(p**(-2/7)/p)))/(p**(3/11)/(p**(1/7)/p*p*p))) assuming p is positive. p**(-551228/252945) Simplify ((p**(1/5)/p)**(-6/11)*((p*p**(-2)*p)/p)/p*p/(p*p/p**13))**(-6/25) assuming p is positive. p**(-3444/1375) Simplify (((d**2)**(7/10)*d**16/(d**4*d))**(-13/6))**39 assuming d is positive. d**(-5239/5) Simplify (c*c*c**(-8/11)*c*(c/(c*c**(-12/5)))/c*((c*c**19)/c)/(c*c/c**(4/11)))**(7/9) assuming c is positive. c**(8099/495) Simplify ((s/s**1)/s*s*s**(-8)*(s/s**(-1))/s*s/(s*s/(s**8*s)))/((s**(2/3)*s*s*s*s**5)/(s**(2/5)/(s/(s*s**2*s)))) assuming s is positive. s**(-64/15) Simplify ((o/(o/o**(-1/51)))/o*(o/((o*o*o/(o**1/o))/o))/o*(((o**(3/4)*o)/o)/o)/(o*o**(-7/5)))**(-1/7) assuming o is positive. o**(2927/7140) Simplify (z/z**34*z**(1/28)*z**42*z*z**(-3/4)/z)**44 assuming z is positive. z**(2552/7) Simplify (((w**(-1/2)/w)**(-3/14)/(w**(-8/7)/(w/w**(-2))))**(2/27))**(-8/9) assuming w is positive. w**(-500/1701) Simplify ((j**1)**(-3/4))**(-3/7)*(j**(-3/4)/(j*j*(j/j**(2/25))/j))**(-10) assuming j is positive. j**(3783/140) Simplify ((d*d**(-9)*d*(d/d**(6/11))/d*(d*d**10)/d*d*d**(-1))**(-9))**(2/3) assuming d is positive. d**(-162/11) Simplify ((l*l**(1/7)/l)/(l/(l/l**5)))**(11/7)*(l/l**(-11)*l**11)**48 assuming l is positive. l**(53722/49) Simplify ((l**(-2/7))**(10/9)/(l**2*l/l**(-7)))/(((l*l/l**0)/l*l)**(-1/2)/((l*(l**(1/4)/l)/l)/l)**(-2/23)) assuming l is positive. l**(-26561/2898) Simplify (c*c/(c*(c**17*c)/c*c))/(c/(c/c**10))*c**27/(c/(c/(c*c**6))) assuming c is positive. c**(-7) Simplify (j**(1/2))**(-25/3)/(j**1)**40*(j**(-2/5)*j*(j/(j/(j/(j**(-5)*j)))*j*j*j)/j)/(j**1/j)**(8/5) assuming j is positive. j**(-1097/30) Simplify (u**16*u**(-11)*u/u**(-19/3)*u**(-23/2)/u)**(4/7) assuming u is positive. u**(-2/21) Simplify (c**6/(c/(c**(2/3)/c)*c)*(c**(-1/3))**(1/24))/(((c**(-1)/c)/c)/c**(-3)*(((c/c**(4/9)*c)/c*c)/c*c)/(c**(-2/5)*c)) assuming c is positive. c**(971/360) Simplify (s/(s*s**(-2/5)/s))**8*s**(-1)*(s*s*s*s**(-2)/s)/s*s*((s*(s*s*s**(-1/3)*s)/s)/(s**(-4/3)*s))**(-2/31) assuming s is positive. s**(1551/155) Simplify (c**23/((c*c/(c/(c*c**(-1))*c)*c)/c))/(c**(-6/11)*c)**(-28/5) assuming c is positive. c**(281/11) Simplify ((z*z**(-2)/z*z**(-6/23)*z)/(z**(-4/9))**(2/7))**(1/11) assuming z is positive. z**(-1643/15939) Simplify (o/o**(-1/14)*o*o*o/((o*o**5)/o)*o)**(-29/3)/(((o**(-5)*o)/o**(-3))/(o*o/(o/o**(-2/3)*o))**26) assuming o is positive. o**(-715/42) Simplify ((m*m*m**(-4/3))/(m*m*m**2*m))/(m**1/(m*(m**(-2)*m*m)/m*m))*((m**(-1/6)/m*m)/m)/(m/(m**(-1/8)*m))*(m**1)**(-14) assuming m is positive. m**(-157/8) Simplify ((a/(a/a**(-11)*a))**(-28)/((a*a*a/(((a*(a/a**(-3/11))/a*a)/a)/a*a)*a*a)/(a**(-1/35)*a)))**(-28) assuming a is positive. a**(-513196/55) Simplify (x**(-2/7))**37*(x**1/x)**(16/3)*((x*x**(2/7)/x*x*x)**44)**(2/79) assuming x is positive. x**(-634/79) Simplify (((k*k**(-1/18)*k*k*k*k)/(k**(-4)*k))/(k/(k**(6/13)/k*k))**(-40))**(35/6) assuming k is positive. k**(241465/1404) Simplify ((p*p*p**(-2)*p)**(-1/18)*(p**(-6))**(-29))**(-2/5) assuming p is positive. p**(-3131/45) Simplify (((p*p**(4/7))/p*p*p*p*p/(p/((p/(p/((p/p**(-4/3))/p)))/p))*p*p*(p**(-1/2))**(-49))**(-2/7))**(-2/13) assuming p is positive. p**(2554/1911) Simplify ((h**(-1/21))**(-1)*h**7/h**(-3/14))**33 assuming h is positive. h**(3355/14) Simplify ((t*t**(-4/5)/t*t*t)**(2/75))**38/((t**(-4/9)/(t/t**(-7)))/(t/(t*t/(t/(t*t/(t/t**0)*t*t))))**38) assuming t is positive. t**(-117382/1125) Simplify ((z/z**(2/7))/z**(2/19)*((z**(-2)/z*z)/z)/z**(4/5))/(((z**(-6)*z)/((z*((z*z/(z*z**(-1/2))*z)/z)/z)/z))/(z**(-2/5))**9) assuming z is positive. z**(-1717/1330) Simplify (((o/((((o/((o**15*o)/o))/o)/o*o)/o))/o)/(o*(o**8*o)/o)*o**(-14)*o/(o*o*o*o*o/o**(2/27)*o*o))**(-1) assuming o is positive. o**(349/27) Simplify (i*i**(-2/3)*i*i)**(1/8)/((i*i**(-3))/i**(-7))*i**7/i**(-2)*(i*i/(i*i**1))**4 assuming i is positive. i**(103/24) Simplify ((n*n**(1/44))/n**(-23))/(n/(n*n/(n/n**17))*n**(-18/5)) assuming n is positive. n**(9817/220) Simplify ((d**(-3/2)/(d*d/(d**(-2/17)/d)))/(d*(d*d*d**(-1)*d)/d*d*d*d*d*d**(2/11)))/((d**2)**16)**(-2/9) assuming d is positive. d**(-12415/3366) Simplify ((o**(4/9))**(-22)*(o**(3/10))**20)**(-5) assuming o is positive. o**(170/9) Simplify w**(-1/2)*(w/(w*w*w**1/w))/w*((w*w**(-2)*w*w*w*w)/w)**(-48)*w**(3/4)*w*((w/(w**(-7)/w))/w)/w*((w**(-2/3)/w)/w)**(-4) assuming w is positive. w**(-949/12) Simplify (a**(1/3)/((a*a**29*a*a)/a)*(a*a**(-14)/a)**17)**(13/3) assuming a is pos
{ "pile_set_name": "DM Mathematics" }
(2 + -1)*5/(25/1345) is divided by i. 13 Suppose 0 = -8*o + 93 - 29. Suppose -3*t = -5*c + 63 + 62, -2*c + 39 = t. What is the remainder when c is divided by o? 6 Suppose 0 = -z - 2 - 31. Let o = z + 43. What is the remainder when o is divided by 4? 2 Suppose 4*j = -0*j + 44. Let a(o) = o**3 - 9*o**2 - 16*o + 12. Calculate the remainder when a(j) is divided by 20. 18 Calculate the remainder when 29 is divided by 28 + (-1)/2*10. 6 Suppose 2*t + d - 64 = 279, 0 = 2*t + 3*d - 349. What is the remainder when t is divided by 8? 2 Suppose 20*k - 21*k - 2 = 0. Let p(g) = -7*g - 8. Calculate the remainder when 16 is divided by p(k). 4 Let b(x) = x + 78. What is the remainder when 284 is divided by b(-21)? 56 Let g = 34 - 18. Suppose 38*s - 43*s = -35. Suppose -3*d + s = m - 14, 4*m - d - 110 = 0. Calculate the remainder when m is divided by g. 11 Suppose x = 3*q - 2*x + 3, 3*x = 5*q - 1. Suppose 4 + 80 = q*t. What is the remainder when t is divided by 23? 19 Suppose -3*o + a = -81, 0*a - 5*a - 15 = 0. Suppose x + 29 - 77 = -5*t, 5*t + 3*x - 54 = 0. Calculate the remainder when o is divided by t. 8 Let s(o) = o**2 + 57*o - 201. Calculate the remainder when 254 is divided by s(-61). 39 Let z(n) = -n**2 - 16*n + 38. Let u(t) = t**2 - 3*t - 16. Let l be u(0). Calculate the remainder when 186 is divided by z(l). 34 Let x(s) be the first derivative of -s**4/2 + 13*s**3/3 + 8*s**2 - 9*s + 4. Calculate the remainder when 104 is divided by x(7). 50 Suppose -3*f + 37 = t - 0*f, -176 = -3*t + 4*f. Calculate the remainder when 152 is divided by t. 48 Let x = 7 - -31. Let v = 2 + x. Calculate the remainder when v is divided by 22. 18 Suppose 2*y - 3*h - 9 = -0, 3 = -3*h. Let w = 14 + -21. Let x = y - w. What is the remainder when 29 is divided by x? 9 Suppose 305 = -0*j + 3*j - 5*d, 3*j + 2*d = 298. Let q = -26 + j. Suppose -q = -4*z + 58. What is the remainder when z is divided by 9? 6 Calculate the remainder when 88 is divided by (-3)/9 - 820/(-30). 7 Suppose -3*y + 12 = -f - 3*f, -3*y + 39 = 5*f. Let k(w) = w**2 - 7*w - 6. Let t be k(y). Suppose t*o = o + 19. Calculate the remainder when 54 is divided by o. 16 Suppose -4*b - 855 = -3*a, -b - 2*b + 1425 = 5*a. Let i = a + -178. Let v = -60 + i. Calculate the remainder when v is divided by 12. 11 Suppose 95 = 5*v - 21*n + 23*n, 5*v = 4*n + 65. Calculate the remainder when 58 is divided by v. 7 Let c = 10 - 10. Suppose 5*i = -m + 140, c = -2*i + 3*i + m - 24. Let b = 5 - -10. Calculate the remainder when i is divided by b. 14 Let a(n) = -n**3 - 5*n**2 + 9*n - 9. Calculate the remainder when a(-7) is divided by (-2 - -7) + (2 + 4 - 1). 6 Let h(a) = -a**3 - 14*a**2 - 32*a + 5. Calculate the remainder when h(-12) is divided by 56. 45 Let k = 7 - -8. Let u = 52 + -8. Calculate the remainder when 2 + (-2 - 0) + u is divided by k. 14 Let a(n) = -n**3 - 38*n**2 + 5*n + 219. Calculate the remainder when 136 is divided by a(-38). 20 Suppose 3*n = 14*a - 16*a + 324, -3*n + 327 = 3*a. Calculate the remainder when n is divided by 26. 2 Suppose -3*w + 3*g + 6 = -0, 16 = 4*w - 2*g. Calculate the remainder when (((-273)/12)/(-7))/(1/16) is divided by w/((-24)/(-9) - 2). 7 Suppose 0 = 3*c + 4*d - 10, 3*c - 5*d + 0*d = 1. Suppose 2 = 4*y - 14, -5*y = -c*r + 106. Calculate the remainder when r is divided by 22. 19 Let j = -462 - -473. What is the remainder when 64 is divided by j? 9 Let b(t) = t**3 - 12*t**2 + 2*t - 11. Let j be b(12). Suppose 5*o + 2 = -j. What is the remainder when 14*(0 - o/3) is divided by 4? 2 Let h(r) = -r**3 - 5*r**2 + 6*r - 18. Calculate the remainder when h(-7) is divided by 9. 2 Let m be (-2)/(-9) + (-70)/(-9). Let w(h) = h - 4. Calculate the remainder when 5 is divided by w(m). 1 Let x = -5 - 67. Suppose -9 = 3*p - 5*h + 5, -2*p - 3*h = 3. Calculate the remainder when (p/6)/(2/x) is divided by 7. 4 Let n(l) = 6*l + 608. Let f be n(0). Calculate the remainder when (0 + (0 - -1))/(19/f) is divided by 17. 15 Let n(z) be the second derivative of -z**5/20 - z**4/6 + z**3/2 - 5*z**2/2 - 2*z. What is the remainder when -1*(0 + 57/(-1)) is divided by n(-4)? 12 Let p = 1562 - 318. What is the remainder when p is divided by 29? 26 Let i(p) = -2*p + 6. Suppose -4*n - f + 18 = 0, -n + 4*n - 20 = -4*f. Let g be i(n). Calculate the remainder when 9 - -5 - (g + 5) is divided by 6. 5 Suppose 0 = 5*i - 25, 2*j + 54 = 6*j - 2*i. Calculate the remainder when 22/187 + 1828/68 is divided by j. 11 Let n(l) = 6*l - 6. Suppose -44*t - 171*t + 4464 = -18541. Calculate the remainder when t is divided by n(4). 17 Suppose -4*t = f + f - 130, -f - 3*t = -68. Let u(g) = -3*g**3 - 12*g**2 - 22*g - 5. Calculate the remainder when f is divided by u(-2). 14 Suppose m - 128 - 31 = -3*g, 2*m = 5*g - 254. Calculate the remainder when 103 is divided by g. 51 Let v(a) = -2*a**2 - 38*a + 19. Calculate the remainder when 284 is divided by v(-19). 18 Let c(g) = 19*g**2 - 130*g - 8. Calculate the remainder when 267 is divided by c(7). 7 Suppose 0 = 8*h + 48 + 16. Let x(p) = -p**2 - 12*p - 20. What is the remainder when 33 is divided by x(h)? 9 Let k = -75 - -72. Let p = 0 - -22. Calculate the remainder when p is divided by -6*3/(k/2). 10 Let l(o) = -o**3 - 5*o**2 + 10*o + 11. Calculate the remainder when 307 is divided by l(-7). 34 Suppose 275 = 56*x - 51*x. What is the remainder when 76 is divided by x? 21 What is the remainder when 43 is divided by (-1)/5*1265/(-23)? 10 Let u(m) = -5*m**2 - 19*m - 6. Let r(x) = -11*x**2 - 39*x - 12. Let v(w) = -6*r(w) + 13*u(w). What is the remainder when 13 is divided by v(14)? 5 Let y be ((-6)/7)/((-2)/28). Calculate the remainder when 62 is divided by y/(-8) + (-94)/(-4)*1. 18 Let s(l) = 4*l - 44. What is the remainder when 174 is divided by s(16)? 14 Let t be (-4)/(-14) + 2493/21. Suppose -q = 5*j - t, -93 = -4*j + q - 4*q. Let y(z) = 2*z**2 - 4*z + 5. What is the remainder when j is divided by y(2)? 4 Let r(s) = s**3 - 4*s**2 - s + 7. Suppose 3*j - 10 = 2. Calculate the remainder when (-6)/(-2) + 5 + -2 is divided by r(j). 0 Let l = 3 + 5. Suppose -2 = -u + l. Calculate the remainder when u is divided by 5. 0 Let n = 1402 + -780. What is the remainder when n is divided by 156? 154 Let a(u) = -3*u**3 + 2*u - 6. Let o be a(3). What is the remainder when 86 is divided by -2 + o/(-3) + -3? 20 Suppose 0 = -n + 6*n + 2*o - 57, 3*o - 53 = -5*n. Let a(v) = -2*v + 4. Calculate the remainder when a(-10) is divided by n. 11 Let d = -634 - -959. Calculate the remainder when d is divided by 55. 50 Let d be (-19)/76 + (-38)/8. What is the remainder when (-1067)/d + 4/(-10) is divided by 36? 33 Suppose -37 = q - 401. Suppose -2*a + 4*n + 189 - 33 = 0, -3*n = 5*a - q. What is the remainder when a is divided by 38? 36 Suppose 2*z + 83 = -v, -3*z = -4*z - 3*v - 34. Let n = 55 + z. Calculate the remainder when n is divided by 5. 2 Let k(g) = -g**3 - 18*g**2 - 24*g + 21. Let q be k(-17). Let u = q + -52. Calculate the remainder when u is divided by 45. 43 Suppose -24 = -3*a + 3*o, 4*o = -a + o - 8. Suppose -g + 0*g + 33 = -3*x, a*g + x - 93 = 0. What is the remainder when 92 is divided by g? 20 Let x = -146 - -166. What is the remainder when 157 is divided by x? 17 Suppose i - 2*u - 221 = 0, -3*u + 532 = 5*i - 547. Suppose 0 = -6*s + i + 113. What is the remainder when s is divided by 7? 6 Let i = -4 - -11. Calculate the remainder when (95/(-10))/(4/(-8)) is divided by i. 5 Suppose -112 = -5*l + 3*l + 2*m, 184 = 4*l + 4*m. Let q = 52 - l. Calculate the remainder when 2 is divided by q. 0 Suppose -2*i - 4*f = 0, -3*f - 33 = 5*i - 4*f. Let g be i/30 + (-1)/(-5). Suppose g = -3*k - k + 68. Calculate the remainder when k is divided by 5. 2 Calculate the remainder when ((-8)/(-16)*437)/((-3)/(-6)) is divided by 13. 8 Let t = 163 + -152. What is the remainder when 11 is divided by t? 0 Suppose 0 = 3*k, -5*k - 736 = 13*h - 14*h. Calculate the remainder when h is divided by 82. 80 Suppose 4*y = -37*y + 410. Calculate the remainder when 46 is divided by y. 6 Suppose -3*d + 25 = k + d, 5*d - 35 = -2*k. Let o = -19 - -10. Let f = 16 + o. What is the remainder when f is divided by k? 2 Suppose -27*q + 23*q = 4, 139 = 3*k - 4*q. What is the remainder when 446 is divided by k? 41 Suppose 0 = -i + 3*o + 23 + 43, i + 4*o = 52. Let r =
{ "pile_set_name": "DM Mathematics" }
easing order. 0.2, n, q Let s be (4/6 + 2)*3. Let w = s + -5. Let h(f) = -f + 3. Let t be h(w). Sort 3, -0.4, t in decreasing order. 3, t, -0.4 Let l(p) = p**3 + p**2 + 4*p + 2. Let u be l(-1). Sort -13, -3, u in ascending order. -13, -3, u Suppose 2*t = -3*t - 10. Let d be (1/(-3))/(2/(-6)). Sort 0, t, d in descending order. d, 0, t Let p(c) = -c - 4. Let t = 14 - 20. Let l be p(t). Sort l, -1, -3. -3, -1, l Let j = -1 - 1. Let l be (3 - (j + 2)) + 1. Sort l, -3, -4. -4, -3, l Let p = 5/59 + -281/531. Let y = -6/131 + 352/1965. Sort p, -0.5, y in descending order. y, p, -0.5 Suppose 0*q + 2*q + 6 = 0. Suppose -6 + 1 = u, 3*p + 2*u = -4. Let v = p - q. Put v, -5, 4 in descending order. v, 4, -5 Let v be (5/((-1575)/(-20)))/(4/6). Put -6, v, -4/3, -2/9 in ascending order. -6, -4/3, -2/9, v Let a be (-64)/72*(-3)/(-20). Sort a, -5, -3/5. -5, -3/5, a Suppose -z + 2 = 6. Sort 0, z, -3 in increasing order. z, -3, 0 Let y = -0.42 - -0.52. Sort y, -3, 0.27. -3, y, 0.27 Suppose -1 = -3*g + 5. Suppose 0 = -0*c - 3*c. Suppose -u - 6*v - 12 = -g*v, c = 4*v + 12. Put 4, -5, u in decreasing order. 4, u, -5 Let b be ((-2)/(-4)*1)/((-7)/(-4)). Let r = 1 + -1.4. Let p = 4 + -30/7. Put b, r, p in decreasing order. b, p, r Let f = -2.3 + 1.3. Let j = 0.5 - 1. Sort j, 2, f. f, j, 2 Suppose r + 4 - 5 = 0. Sort -3, r, -2. -3, -2, r Suppose -x + 5 - 3 = 0. Put -5, x, 7 in decreasing order. 7, x, -5 Suppose 3*z = -3*h + 12, -5*h = -3*z - 2*h + 12. Sort -1, z, 5, -4 in ascending order. -4, -1, z, 5 Let t = 10.4 - 11. Let k = t - -0.2. Let m = -2.2 - -2. Put 3/4, m, k in decreasing order. 3/4, m, k Let u be 1*(3/15)/1. Let x(y) = 5*y - 5. Let o be x(-6). Let d = o + 139/4. Put d, 3/4, u in decreasing order. 3/4, u, d Suppose -6 = 2*i, -3*i + 4 = 4*d - 3. Suppose -5*l + 5*f = 0, f + 0 = -l - 2. Put l, -3, d in increasing order. -3, l, d Suppose -z = -6*z + 10. Sort -3, -5, z in decreasing order. z, -3, -5 Let w = -0.2 - 0.3. Let i = -251 - -254. Put i, 2/5, w in decreasing order. i, 2/5, w Let k be (0 - 4) + 1 + 9. Let z be (-2)/k - 84/(-36). Put 3, z, -2 in ascending order. -2, z, 3 Let o = 0.06 - 4.06. Let u = 3.9 + o. Let s = 0.3 + -0.1. Put -1/2, u, s in decreasing order. s, u, -1/2 Let t(m) = -m + 2. Let f be t(5). Let b = -1 - f. Suppose 0 = b*c + c + 12. Put c, -0.4, 5 in ascending order. c, -0.4, 5 Let a = 28 + -39. Sort a, 3, 5 in descending order. 5, 3, a Suppose 0 = 5*u - 4*i, -5*i + 2*i = 4*u. Let g(q) = q + 1. Let m be g(-6). Sort 3, u, m in ascending order. m, u, 3 Let f = 17 - 24. Let q = 11 + f. Let k = q - 7. Sort k, 2/3, -4. -4, k, 2/3 Let w be ((-7)/4 + 1/(-4))*-2. Sort 3, -2, w in decreasing order. w, 3, -2 Let v be (-28)/(-13) + 6/(-39). Suppose 0 = 5*n - 4*g - 21, -v*n - 14 = 2*g + 2*g. Put 4, n, -14 in increasing order. -14, n, 4 Suppose -2*m - 4 = p, 0*p - 4*m - 6 = p. Let j be ((-24)/14)/((-24)/112). Suppose 0 = -2*v + 4*b - 3*b + j, 2*b = -3*v - 2. Put p, v, -4 in ascending order. -4, p, v Let p = 39 + -43. Sort p, 3, 4. p, 3, 4 Let s be (3*3/9)/(3/(-6)). Let x = -1 - 4. Let q = 13 + -8. Put q, s, x in decreasing order. q, s, x Let u(o) be the first derivative of o**2/2 + 4*o - 4. Let p be u(-6). Sort 0.2, 1/3, p. p, 0.2, 1/3 Suppose 4*j - 4 = -0*j. Sort -2, j, 3. -2, j, 3 Suppose 3*b - 47 = -0*b + 4*j, -89 = -5*b + 4*j. Suppose 4*p + 22 = 2*d + 4, 0 = 4*p + d + b. Let q be (-60)/27 - (-16)/72. Sort -3, p, q in descending order. q, -3, p Let w = -5/6 - 2/3. Let r be 20/32 + 1/(-8). Sort 1, w, r. w, r, 1 Suppose r = -2*r - 6. Suppose 2*b + 4*f = -10, 7*b - 6*b - 3*f - 5 = 0. Sort r, 4, b in descending order. 4, b, r Let o be (-20)/16*(-2)/10. Let n = -49.7 - -52. Let r = -0.3 + n. Sort -2/7, o, r. -2/7, o, r Let b = 6.3 + -6. Put b, -5/3, 2 in descending order. 2, b, -5/3 Let z be 18/(-8) + 9/3. Let h(i) = -i**2 - 11*i + 2. Let q be h(-11). Let p be -3 - 0*q/(-6). Put p, z, 4/7 in increasing order. p, 4/7, z Let z be (-1)/((-9)/3)*-3. Sort z, 2, 0. z, 0, 2 Let v(i) be the second derivative of -i**4/12 - i**3 + 9*i**2/2 - 2*i. Let c be v(-7). Let b = c - 2. Sort 1, -1, b in descending order. 1, b, -1 Let a(p) = -p**3 + 3*p**2 + 5*p - 3. Let f be a(3). Sort -3, f, -2 in decreasing order. f, -2, -3 Suppose 5*a = o - 0*a + 30, 5*o + 4*a + 5 = 0. Put o, -1, 1 in increasing order. o, -1, 1 Let j(v) = v**2 + 3*v - 6. Let r be j(-5). Suppose 3*k = -6 - 3. Suppose -5*x = 4*n - 7*n - 17, -21 = -x + 5*n. Sort x, k, r. k, x, r Let b be 3/(-5) + (-258)/(-330). Sort b, -5/2, -5 in ascending order. -5, -5/2, b Let a = 10 + 3. Let u = a + -12.9. Let q = -7 + 2. Sort u, 2/15, q. q, u, 2/15 Let x be (-2)/(-4)*-4 - -3. Suppose -3*h = -0*h - 6. Sort 0, h, x. 0, x, h Let a be (-3 - (-20)/8)*38. Let d = -19 - a. Sort 5, -1, d in increasing order. -1, d, 5 Let k(h) be the second derivative of 0 + 0*h**2 + 1/6*h**3 + h. Let b be k(3). Sort -1, b, 2 in descending order. b, 2, -1 Let h = -42 + 38. Put -0.3, h, 5, 1 in ascending order. h, -0.3, 1, 5 Let q = 0.084 + 0.216. Put -4, q, 0.5, -12 in increasing order. -12, -4, q, 0.5 Suppose 5*m - 20 = -5. Sort 4, 1, m in decreasing order. 4, m, 1 Let l be (2/(-14) - (-189)/294)*0. Put 22, 2, 3, l in descending order. 22, 3, 2, l Let z be (-2 - 3) + -3 + 5 - -7. Sort -0.8, -1/8, z. -0.8, -1/8, z Let s = -0.12 + 6.12. Let g = s - 2. Let q = -8.9 + 4.9. Sort g, q, 0.4 in decreasing order. g, 0.4, q Let p(u) = -u**3 + 7*u**2 + 5. Let s be -3*(-2)/12*14. Let i be p(s). Sort 4, i, 3 in increasing order. 3, 4, i Suppose -3 = -p, 3*r - 5*p + 6 = -9. Suppose r = -5*k - 11 + 41. Let a be 18/4*4/k. Put a, 5, -1 in ascending order. -1, a, 5 Suppose -11 = 3*l - 5. Let k be (-8)/(-16)*3*l. Put k, 0.4, 5 in descending order. 5, 0.4, k Let f = -14 + 59. Let r be (-2)/20 - 18/f. Put 2/11, r, 3 in ascending order. r, 2/11, 3 Let f(k) = -k**3 - 2*k**2 + 16*k + 2. Let h be f(-5). Let b be 30/7 + (-4)/14. Put -1, b, h in decreasing order. b, -1, h Let o = 3 - 2. Suppose m + 1 = -o. Put 1, -4, m in descending order. 1, m, -4 Suppose -3*x - 4 = a, -3*a - 1 = -4*x - 2. Sort 0, a, -4 in increasing order. -4, a, 0 Suppose 8 = 3*j - 7. Let l(m) = 3*m**2 - 3*m + 8. Let w(z) = -z**2 + z - 4. Let v(t) = j*w(t) + 2*l(t). Let a be v(3). Put -4, 3, a in decreasing order. 3, a, -4 Let v = -47 + 91/2. Put v, 0.2, 2/5 in ascending order. v, 0.2, 2/5 Let h = -3/14 + -2/7. Let z be 3/(-18) - 551/(-714). Let x = z + -3/17. Sort 0.3, x, h. h, 0.3, x Let m = 23/5 - 64/15. Let g be ((-3)/(-5))/((-3)/2). Sort m, -1/7, g in decreasing order. m, -1/7, g Let g be 60/(-18) + 1/3. Suppose -p + 4*p = -s - 13, -2*s - 5*p - 23 = 0. Sort 3, g, s in increasing order. s, g, 3 Let z be (-162)/(-10) - 4/20. Let n be (2/(-4))/(2/z). Sort n, -5, -3 in ascending order. -5, n, -3 Let f = 0 - 7. Let i = f + 4. Let u = -0.4 + 0.4. Put i, u, -2 in decreasing order. u, -2, i Suppose 0 = -3*d + 2*d - 2. Suppose -5*x - 2*a = a + 17, x = 4*a + 15. Let m be 0 - 2/(4/10). Put m, x, d in increasing order. m, d, x Let f = -0.02 - 2.98. Let r = -0.17 - -0.27. Put -3/7, r, f in increasing order. f, -3/7, r Let g = 0.012 - 1.012. Put g, -5, 0.2, 0.5 in decreasing order. 0.5, 0.2, g, -5 Suppose -p = o, 4*o - 1 = -5*p + 1. Let n be ((-9)/12)/(1 + (-9)/12). Put 3, n, p in ascending order. n, p, 3 Let c = 60 + -55. Put -3/7, -3/4, -4, c in descending order. c, -3/7, -3/4, -4 Let s = -167 - -172. Sort s, -1/15, -0.1 in ascending order. -0.1, -1/15, s Let r = 0 - 1. Let i be 39/(-36) + r/(-3). Sort 4, i, 3/2. i, 3/2, 4 Suppose 2*c = -3*p - 21, -c - 2 = -p - 4. Sort p, -2/13, 2 in ascending order. p, -2/13, 2 Let j = 3.3 - 7.3. Put -0.1, j, -2/3 in decreasing order. -0.1, -2/3, j Let z(s) = -s**2 + 7*s - 9. Let w be z(6). Sort -5, w, 3. -5, w, 3 Let v = 0.017 - -0.183. Let k be 1/1*(0 + -1). Sort 2, k, v. k, v, 2 Let g = 1 + -4. Let q(z) = z - 7. Let k be q(10). Suppose 2 = k*f - 2*f. Sort g, f, 0 in decreasing order. f, 0, g Suppose -125 = 5*k + 2*l, 0 = -3*k + 3*l - 5 - 70. Let w = k - -101/4. Let t = -4.5 - -0.5. Sort -5, w, t in increasing order. -5, t, w Let f(a) = -3*a. Let m be f(-4). Let d = m - 11. Sort d, -3, -2. -3, -2, d Suppose 4*j = -3*y - 0*y + 23, -3*j = 4*y - 19. Suppose -3*p - j = p + 3*c, -3*p = 3*c. Sort 3, -1, p in descending order. 3, -1, p Suppose -2*w + 15 = w. Suppose 0 = 3*h
{ "pile_set_name": "DM Mathematics" }
aces. -0.0000021 What is -42125994.84 rounded to the nearest ten thousand? -42130000 What is -0.00235504202 rounded to five decimal places? -0.00236 What is -0.0000573854033 rounded to 5 dps? -0.00006 What is -26.9139256 rounded to zero dps? -27 What is 0.00115941278 rounded to three decimal places? 0.001 Round 0.02221900845 to two decimal places. 0.02 Round -4.2695973 to 0 dps. -4 What is -0.00002887218827 rounded to seven dps? -0.0000289 What is 1697.01341 rounded to the nearest 1000? 2000 What is -36723953.6 rounded to the nearest ten thousand? -36720000 Round 154603718.7 to the nearest 1000. 154604000 What is -15.233333 rounded to 3 dps? -15.233 What is -7338725 rounded to the nearest one hundred thousand? -7300000 Round 0.0125456587 to 5 dps. 0.01255 Round 11649.0904 to the nearest one thousand. 12000 What is 0.00930942191 rounded to 4 decimal places? 0.0093 What is 1563.646 rounded to the nearest 1000? 2000 Round -0.0005383356845 to five decimal places. -0.00054 Round -1318.761785 to zero decimal places. -1319 What is -0.043089361 rounded to 2 dps? -0.04 Round 0.00002752506653 to seven decimal places. 0.0000275 What is 0.0033300208 rounded to six dps? 0.00333 What is 32.3873385 rounded to 2 dps? 32.39 Round 0.00003443443102 to 7 decimal places. 0.0000344 Round -412818687 to the nearest ten thousand. -412820000 Round 4377.8746 to the nearest 100. 4400 Round -8045.8274 to the nearest ten. -8050 Round -17052970.17 to the nearest one million. -17000000 What is -17.5975462 rounded to the nearest integer? -18 Round -745.7199049 to one dp. -745.7 Round 596.8231 to the nearest integer. 597 Round -0.0248429352 to 3 dps. -0.025 Round 0.0011301050537 to 7 decimal places. 0.0011301 Round -3201790.298 to the nearest 100000. -3200000 Round -10987715.29 to the nearest 1000. -10988000 Round -104651.43465 to zero dps. -104651 Round 1.81784885 to 4 dps. 1.8178 Round 2476.274212 to the nearest 10. 2480 What is 0.0574439034 rounded to two dps? 0.06 What is 55.376438 rounded to 2 decimal places? 55.38 What is 113.35397 rounded to the nearest 100? 100 Round -1486578.042 to the nearest 1000. -1487000 Round 0.00104221616 to six dps. 0.001042 Round 34513.89519 to the nearest integer. 34514 Round -11.1290787 to 0 dps. -11 Round 521672.6 to the nearest one hundred thousand. 500000 What is -0.13629834 rounded to two dps? -0.14 Round 1655.635708 to one decimal place. 1655.6 What is -173.95853 rounded to 2 decimal places? -173.96 Round 907.37116 to the nearest one hundred. 900 What is 0.91285882 rounded to four decimal places? 0.9129 Round 0.05468365506 to 3 dps. 0.055 Round -3.092316729 to 4 decimal places. -3.0923 What is 5658.15942 rounded to 1 dp? 5658.2 What is 151845289 rounded to the nearest one hundred thousand? 151800000 Round 139.326121 to the nearest 10. 140 What is -0.035583104853 rounded to 4 dps? -0.0356 Round -10998.455 to the nearest 10. -11000 Round -0.05979482538 to six dps. -0.059795 What is -0.00090428159 rounded to five decimal places? -0.0009 What is 37.46765036 rounded to 2 dps? 37.47 What is -0.0000316528394 rounded to six decimal places? -0.000032 Round 3157.3887 to the nearest integer. 3157 Round -0.209841381 to 1 dp. -0.2 What is -0.221440571 rounded to two dps? -0.22 Round -28318305.9 to the nearest one hundred thousand. -28300000 Round 7688226.77 to the nearest 100000. 7700000 Round 16099491.33 to the nearest one hundred thousand. 16100000 What is -0.01258857898 rounded to six decimal places? -0.012589 What is 0.105900793 rounded to two dps? 0.11 Round -181318.01 to the nearest ten thousand. -180000 Round -11701559.306 to the nearest 1000. -11702000 Round -10495.237772 to one dp. -10495.2 What is -68823.0544 rounded to the nearest 10000? -70000 Round 240.0872058 to the nearest 10. 240 What is 1694086.9 rounded to the nearest 100000? 1700000 What is -2212571.99 rounded to the nearest 100000? -2200000 Round 5.1838873 to one dp. 5.2 What is 0.276188292 rounded to 4 dps? 0.2762 What is 10753835.9 rounded to the nearest 100000? 10800000 Round 34500221.1 to the nearest 1000. 34500000 Round 0.000474841748 to 7 dps. 0.0004748 Round -1164889.542 to the nearest one thousand. -1165000 What is 44217836.5 rounded to the nearest 10000? 44220000 What is 0.000009336177867 rounded to 6 decimal places? 0.000009 What is 0.05372934988 rounded to 4 decimal places? 0.0537 What is -0.000641671294 rounded to 4 decimal places? -0.0006 Round -0.00480714862 to 7 dps. -0.0048071 Round 1514201735 to the nearest one million. 1514000000 Round -5.88453405 to three dps. -5.885 Round 3319.75895 to the nearest one hundred. 3300 Round -0.0090219548 to six dps. -0.009022 What is -0.0108546202 rounded to five decimal places? -0.01085 What is -117.912088 rounded to 1 decimal place? -117.9 What is -0.02699719224 rounded to 5 dps? -0.027 Round -68171.0525 to the nearest 100. -68200 Round -0.0003271138496 to 7 dps. -0.0003271 What is -0.1685139343 rounded to five decimal places? -0.16851 Round 5899.2044 to the nearest ten. 5900 Round -0.00171901 to two decimal places. 0 Round 2280063.872 to the nearest ten thousand. 2280000 What is -0.000001012933396 rounded to seven decimal places? -0.000001 Round -0.01710949289 to six dps. -0.017109 What is 41032581.5 rounded to the nearest 10000? 41030000 What is -0.00613312842 rounded to 7 dps? -0.0061331 Round -814.83999 to one decimal place. -814.8 Round 157475787.6 to the nearest 1000000. 157000000 Round 0.147854228 to 3 dps. 0.148 Round -14344306500 to the nearest one million. -14344000000 What is 11239.88815 rounded to the nearest 1000? 11000 What is -0.00148209444 rounded to four dps? -0.0015 What is 307490177 rounded to the nearest 10000? 307490000 What is -331743.711 rounded to the nearest ten? -331740 What is -284639205900 rounded to the nearest 1000000? -284639000000 Round 5144.54305 to the nearest one hundred. 5100 Round 16057219.31 to the nearest 1000000. 16000000 Round -89261817 to the nearest 1000000. -89000000 Round -0.1048593626 to three decimal places. -0.105 What is 695.02217 rounded to 1 dp? 695 Round 0.46308834 to four dps. 0.4631 Round 138219.224 to the nearest 10. 138220 Round -0.000225279928 to 5 decimal places. -0.00023 What is -391217.1 rounded to the nearest one hundred? -391200 Round -1649694.8346 to the nearest 10000. -1650000 What is -0.0051094652 rounded to six decimal places? -0.005109 Round 0.679978472 to three dps. 0.68 What is 6.0901155 rounded to one decimal place? 6.1 Round 345520394.2 to the nearest ten thousand. 345520000 Round -41.594228 to 1 decimal place. -41.6 Round -0.006346377 to four decimal places. -0.0063 Round -1.35886509 to one dp. -1.4 What is 2308387306 rounded to the nearest one million? 2308000000 Round -6108258280 to the nearest one million. -6108000000 Round 0.8944026 to 1 decimal place. 0.9 What is -0.00375159518 rounded to six dps? -0.003752 Round 3729139.072 to the nearest ten thousand. 3730000 What is 0.00001210953 rounded to six dps? 0.000012 Round 1.10024475 to two decimal places. 1.1 What is -2141.40855 rounded to the nearest 100? -2100 Round -2.014984571 to 2 dps. -2.01 Round -7878643 to the nearest one million. -8000000 Round -10123.1138 to the nearest ten. -10120 Round -0.000013127591 to 5 decimal places. -0.00001 Round 0.00587923199 to three dps. 0.006 What is -111.47118543 rounded to 1 dp? -111.5 Round -647820373.4 to the nearest 1000000. -648000000 Round -753301.1 to the nearest one thousand. -753000 What is -0.000728823871 rounded to four decimal places? -0.0007 What is -0.000047289448 rounded to 7 dps? -0.0000473 Round 7484920.83 to the nearest one hundred thousand. 7500000 What is 0.00641184222 rounded to three decimal places? 0.006 What is 683683110.8 rounded to the nearest 1000000? 684000000 Round -424.097229 to the nearest integer. -424 Round 0.07355045561 to two decimal places. 0.07 Round -3251007.76 to the nearest one hundred thousand. -3300000 What is -378.104729 rounded to the nearest 100? -400 What is -21323167.847 rounded to the nearest 100? -21323200 What is 0.0437901163 rounded to five dps? 0.04379 What is -0.560306827 rounded to 1 dp? -0.6 Round -0.02160967 to five decimal places. -0.02161 Round -5660.63936 to the nearest integer. -5661 Round 275.201254 to
{ "pile_set_name": "DM Mathematics" }
o = -267/4 - -66. Let l = -40.2 + 34. Let j = 2.2 + l. Which is the closest to 0.2? (a) 5 (b) j (c) o c Let f = 199 + -196. Which is the nearest to -2? (a) 1/4 (b) 2 (c) -0.2 (d) f c Let w = -161 - -319/2. Let o = 1.4 - 1. Let d = -0.8 + 1. Which is the nearest to 1? (a) w (b) d (c) o c Let h = -5.52 + 6. Let z = -0.58 + h. Which is the closest to z? (a) 4 (b) 1 (c) -1/5 c Let w = -447 - -445. Which is the closest to w? (a) 4 (b) 0.04 (c) -2 (d) 6 c Let q = -1.5 + 2. Let d = -39.23 - -40.23. What is the closest to q in d, 4, -2? d Let n = 8 + -8. Let g = n - -3. Let t = -3/16 + 11/16. What is the nearest to t in -2/13, -0.2, g? -2/13 Let o be (12 - 3) + (-114)/12. What is the nearest to 0.1 in o, 0.2, -31? 0.2 Let p = 16.86 - 12.86. Which is the closest to p? (a) -4 (b) 0.4 (c) -14 b Let m = -337 + 334. Let t = 9 - 8.5. What is the closest to 0.1 in t, m, 3? t Let u = -589/28 + 149/7. Let j = 1 + 3. What is the closest to -2/3 in u, 1/2, j? u Let l = -161/221 - -15/17. Let k = 31.9 + -36.9. Which is the nearest to 1? (a) l (b) k (c) -0.5 a Let m = 14 - 13.5. Let g = 3.4 + m. Let u = 4 - g. Which is the nearest to -1/4? (a) -0.5 (b) u (c) -2 a Let o = 29/20 + -6/5. Let x(k) = -2*k**2 + 4*k**2 + 6*k + k**2 - 2*k**2 + 3. Let p be x(-6). Which is the nearest to 2? (a) o (b) p (c) -1/3 b Let h = -25 - -10. Let m = -12 - h. Which is the closest to 0? (a) m (b) -6/11 (c) 0.3 c Let m be (-2 + 82)/(6*3/36). Let w = 319/2 - m. Which is the closest to 5? (a) -1/11 (b) -3/5 (c) w a Let v = 0.924 + 0.076. Which is the closest to v? (a) -0.5 (b) -2 (c) 34 a Let g = -0.04 + 2.04. Let o = g - 2.4. Let y = -62 - -62.1. Which is the closest to -2? (a) o (b) y (c) -5 a Let x be -45 + 37 - (-15)/2. Let n = -0.8 + 0.5. Let d = 0.7 - n. What is the closest to -1/4 in 5, x, d? x Let k = 0.1 + -0.2. Let s = 8558 - 8557.8. What is the nearest to s in -12/11, k, -1? k Let m = 10 + -10.1. Let d = 0.6 + -0.8. Let s = -0.4 - d. Which is the nearest to -1? (a) s (b) m (c) 4 a Suppose 0 = -2*z + 10 - 2. Let u be -3*(7 + -6) - -2. Let j = 1 - 5. What is the closest to -0.1 in u, j, z? u Suppose -5*t + 3*j + 22 = 0, -5*t + 16*j = 15*j - 14. Which is the closest to -0.4? (a) -5 (b) t (c) -0.03 c Let t = 0.3 - 0.1. Let k = -3955/3 - -1319. Let n = 0 - 0. What is the closest to -1/2 in t, n, k? n Let s = -908 + 906. Which is the closest to 2/5? (a) -1 (b) s (c) -0.4 c Let l(f) = 25*f**2 - 251*f + 12. Let b be l(10). What is the closest to 0 in 0, 4, -2/23, b? 0 Let q = 0 - -0.1. Let r = -0.06 - 0.02. Let m = r - 1.92. Which is the closest to q? (a) m (b) 3/4 (c) 2 b Let t = -632 + 632.2. Which is the closest to -3/4? (a) t (b) -4 (c) -0.1 c Let s = 0.37 - 0.57. Let m = 7 - 4. Let h = m + -3. Which is the nearest to h? (a) s (b) -2 (c) -1 a Suppose -7*a + 4*a - 12 = 0. Let h = -3.91 + -0.09. What is the nearest to h in -5, -1/3, a? a Let r be (-170)/(-30) - (-18)/(-3). Let h = -2.639 - 0.471. Let p = 0.11 + h. What is the nearest to 0 in 0.03, p, r? 0.03 Suppose 22*y + 79 = -163. Which is the closest to 1? (a) -4 (b) 1/3 (c) y b Let w = 28 + -33. Let h = -1.2 - -0.5. Let p = 0.7 + h. What is the closest to p in 4, w, -1/6? -1/6 Let s be (-2)/(-7) + 48/(-21). Let i(v) = -v**2 - v. Let f be i(s). Let q be (1 - (-8)/(-5))/((-33)/(-22)). Which is the nearest to 0? (a) q (b) -1 (c) f a Let m be 23505/(-9825) - 4/(-10) - -2. Let c = -265/393 + m. What is the closest to c in 5/2, -6, -0.5? -0.5 Let r = 11.5 + -10. Let q = -0.5 + r. Which is the nearest to 0? (a) q (b) 1/6 (c) -3 b Let i = 0.0011 + -2.0011. Let y = 0.37 - -0.03. Which is the nearest to i? (a) y (b) -4 (c) 2 b Suppose 4*s + s + 25 = 0. Let h(l) = 2 + 41*l + 2 - 42*l. Let a be h(6). What is the closest to -1 in s, -2/3, a? -2/3 Let p = -70/129 - -9/43. Which is the closest to -0.4? (a) -3/7 (b) 2 (c) p a Let u = -18.329 + 0.029. Let g = u + 18. Let c = 3 - 8. What is the closest to -0.1 in g, c, -2? g Let l = -48 + 42. Let t = l - -3. Which is the closest to 1? (a) 3/4 (b) t (c) -1 a Let z be 172/(-308) + (-18)/(-63). What is the nearest to 1/4 in z, -2/3, 3/5? 3/5 Let i = 366 - 363. What is the closest to 0 in 0.2, 0.4, i, 0.3? 0.2 Let g be 2*-1*45/(-40). Let s = g - 5/2. Let k be (2 - 0) + -2 - -3. Which is the closest to s? (a) k (b) -1/2 (c) 1/4 b Let f = -315 + 316. What is the closest to 0.2 in 0.5, f, -2? 0.5 Let g = 50.8 + -51. Let l = 263/4 + -66. Which is the closest to 1/2? (a) l (b) g (c) -5 b Let w be 5*-1 + 4/((-132)/(-187)). Which is the nearest to -1? (a) w (b) 4 (c) 5 a Suppose 3*j + 15 = -27. Let y be 0/(99/77 + 4/j). Which is the nearest to 1/4? (a) -0.1 (b) y (c) -5 b Let q = -122.5 + 123. What is the closest to 0.1 in q, -1/3, 3? q Let m be 7/49 - (-18)/(-42). Which is the nearest to m? (a) 2 (b) -3 (c) -8 a Let w = 1094/7 + -156. Which is the closest to 4? (a) -0.4 (b) -2/3 (c) w c Let n = -9.5 - 1.5. Let q = 10.1 + n. Let j = q - -1. What is the nearest to j in 3/5, 0.04, -2? 0.04 Let i = -6.227 + 1.227. What is the closest to 0 in i, -41, 0, 2? 0 Let b be 17/4 - 1/4. Suppose 2*u - b = -2. Let v = -9 + 12. What is the closest to u in v, -4/3, -1/5? -1/5 Let h be (-6)/4*(-9 + 5). Let m = 4.88 - -14.82. Let k = -20 + m. Which is the closest to h? (a) 4 (b) -1 (c) k a Suppose 3*r = -3*r - 2040. Let w be 2/7 - r/35. Suppose -5*x + w = -4*i - i, -5*x = 3*i - 10. Which is the nearest to 0.4? (a) 3 (b) x (c) -0.1 c Suppose -36*l + 29*l - 21 = 0. What is the nearest to -1/4 in -2/9, -0.2, 1/8, l? -2/9 Let h = -132 - -131.8. Which is the closest to h? (a) -1/4 (b) -14 (c) -4 a Let a = -0.35 - -3.35. What is the closest to 0.3 in 2/5, a, -1? 2/5 Let w = -6 - -5.6. Let f = 84 + -105. Let i be (-14)/f + ((-48)/(-9))/(-4). What is the nearest to i in -4/5, -3, w? -4/5 Let n = 0.39 - 0.49. Which is the closest to n? (a) -0.07 (b) 17 (c) 0.3 a Let f = 148 + -145. Suppose -6*r = -f*r + 6. Let i(m) = -m. Let n be i(-4). What is the nearest to 3 in r, 0, n? n Let g = 298 - 298.5. Which is the closest to -1/3? (a) -2 (b) -0.3 (c) g b Suppose 69 = -4*r + 49. What is the nearest to 1/4 in 5, 1/4, 0.5, r? 1/4 Let t = 15 + -7.2. Let x = t + -8. Let f = -0.4 + 1.4. Which is the nearest to 0.09? (a) f (b) 0.2 (c) x b Let k = 332 + -327. Let f = -3 - -3.1. What is the closest to 0.2 in f, k, 3? f Let j = 25 + -32. Let s = -0.51 + -3.49. Which is the closest to j? (a) 5 (b) -1 (c) s c Let y = -5.08 + 0.08. Let t = 3.093 + -0.093. Which is the closest to 0? (a) 2/5 (b) y (c) t a Let i = -16470 + 16473. Let z be 1*-2*2/(-12). Which is the nearest to -2? (a) z (b) i (c) -2/15 c Let t be (-600)/(-375) - (-27)/(-20). What is the nearest to 2 in -49, -5/6, t? t Let w = -33 - -25.4. Let q = -7.61 - w. Which is the nearest to q? (a) -5 (b) -3 (c) -0.5 c Let x = -158 - -158. What is the closest to x in -3, 0.1, 1? 0.1 Let v(m) = m + 4. Let n be v(-9). Let r = 53 + -52.9. Which is the closest to -1/3? (a) r (b) -4 (c) n a Let y = -3129 + 3123. Which is the closest to -1/4? (a) -0.1 (b) -37 (c) y a Let y = 2.47 + 0.53. Let d = -0.86 + 0.06. Let h = d + 0.6. What is the nearest to -1/4 in h, 2/5, y? h Let u = 5/6 - 19/12. Let m be 4*1/((-700)/14). Which is the nearest to -1? (a) u (b) 0 (c) m a Let p = -0.43 + 1.43. Which is the nearest to 2.9? (a) p (b) 2/3 (c) -5 a Let a = -11.86 + -10.54. Let t = 0.007 + 21.993. Let r = a + t. What is the nearest to 1/3 in -1/2, r, 1? 1 Let o(t) = t**3 + 5*t**2 + 5*t + 2. Let f be o(-2). Suppose f*u - 6 = 3*m, 2*u = -3*u + 5*m + 5. What is the nearest to -1/3 in -3/2, 5, u? -3/2 Let s = 59 - 58.73. Let p = 0.29 + -0.26. Let u = p + s. Which is the closest to -1? (a) u (b) -2/7 (c) 1 b Let l = -1.7 + 24.7. Let w = 19 - l. Let x = -524/7 + 75. Which is the closest to 0? (a) -3 (b) x (c) w b Let m = -1039 + 15583/15. Which is the nearest to 3/4? (a) -0.5 (b) 0.2 (c) 4/5 (d) m c Let g(m) = m**3 - 12*m**2 + 21*m - 8. Let q be g(10). Which is the closest to q? (a) -2 (b) -2/5 (c) -19 b Let t = 109 + -108. Let k be (-4 + 5)*(t + -10). What is the nearest to 1/4 in -2, k, 3? -2 Let d = -2094 + 2091. What is the nearest to 3 in 65, 0.1, d? 0.1 Let h = -1.28
{ "pile_set_name": "DM Mathematics" }
(-1005)/(-9) - 2/d. Let s = p + -63. What are the prime factors of s? 2, 3 Let n = -1658 - -3196. What are the prime factors of n? 2, 769 Let p(x) = 2*x**2 - 8*x + 4. Let i be p(5). Let a be 6/21 + (-32)/i. What are the prime factors of 1/(a + (-27)/(-13))? 13 Suppose 584 = 3*t - v - 859, -3*v + 2391 = 5*t. List the prime factors of t. 2, 3, 5 Let d(g) = 758*g + 131. List the prime factors of d(2). 3, 61 Suppose -11*j - 16 = -7*j, -4*n - 4*j + 5744 = 0. List the prime factors of n. 2, 3, 5 Let o = -92 - -92. Suppose o = -5*g + g - 3*w + 899, 5*g + 2*w - 1115 = 0. List the prime factors of g. 13, 17 Let x(t) be the second derivative of 5*t**3/6 + 3*t**2 - 9*t. List the prime factors of x(6). 2, 3 Let j(n) = -3*n + 4. Let k be j(3). Let o be 2 - k/((-20)/(-148)). List the prime factors of o - ((-6)/2 - -3). 3, 13 Let l(m) = 42*m**2 + 7*m - 5. Let r be l(2). Suppose 213 = b - 4*y, y + 39 = b - r. List the prime factors of b. 7, 31 Suppose 4 - 1 = 3*z. Let y be (z - 5)*(-3)/3. Suppose -22 - 54 = -y*v. What are the prime factors of v? 19 Let y(p) = -p**2 + 9*p + 2. Let d be y(9). Suppose d*f - 60 = f. Suppose f = -7*s + 12*s. List the prime factors of s. 2, 3 Suppose -4*t = -11*t + 1855. Let k = -121 + t. What are the prime factors of k? 2, 3 Let c(l) = 1707*l**2 - 3*l + 1. What are the prime factors of c(-1)? 29, 59 Suppose 0*t = 5*t - 10. Suppose -f - 45 = -t*x, 0*f = -5*x + 3*f + 112. What are the prime factors of x? 23 Let u(r) = -152*r - 119. What are the prime factors of u(-14)? 7, 41 Let u be ((3 - 1) + -9)*-52. Suppose -u = -6*p + 458. List the prime factors of p. 137 Let f(g) = -4*g**2 - 3*g**2 + 3*g**2 + 3*g**2 - 15*g + 3. List the prime factors of f(-11). 47 Let x = 75 - 73. Suppose x*p = 4*a + 118 + 138, -4*p + 490 = 3*a. What are the prime factors of p? 2, 31 Suppose 6*n - n = 1325. List the prime factors of n. 5, 53 Suppose -2*s = -7*s + 25. Let d be 0/((3 - 1) + -3). Suppose 3*r = 3*y + 54, d*y + s = y. What are the prime factors of r? 23 Let k be -8 + 0 + -2*(1 + 0). Let g(f) = -f**3 - 9*f**2 + 9*f + 14. List the prime factors of g(k). 2, 3 Let r(u) be the third derivative of -u**7/1260 + u**6/144 + u**5/12 - 2*u**2. Let v(h) be the third derivative of r(h). List the prime factors of v(-5). 5 Let w = -1201 - -2087. List the prime factors of w. 2, 443 Let q be (-2*3/3)/((-1)/182). Suppose q + 314 = 5*a - h, -5*h = -a + 126. What are the prime factors of a? 2, 17 Let y = -191 + 2176. List the prime factors of y/20 + (-2)/8. 3, 11 Let q be (-56)/(-30) + 2/15. Suppose -17 = -5*o + n + 24, -q*o - 3*n = -13. List the prime factors of 60/o*(-8)/(-5). 2, 3 Let h be (-6)/(-4) - 6/12. Let d be (-1)/((-4)/748*h). Suppose 3*k = 4*w + d, 3*k - 185 = 2*w - 0*w. List the prime factors of k. 61 Let d(n) = -n**3 + 16*n**2 - 15*n + 20. What are the prime factors of d(11)? 2, 5, 23 Let y be (-1)/6 + 25/6. Let d = 2 - y. List the prime factors of -8*(1 + -1 + d). 2 Let b be 0/1 - (-39 + 2). Suppose -i + 2 = 28. Let g = i + b. What are the prime factors of g? 11 Let h = 6 - 2. Let a(k) = 10 - 2*k + 5 - k + h*k. What are the prime factors of a(14)? 29 Let y(c) = -109*c - 215. What are the prime factors of y(-14)? 3, 19, 23 Let s be (1*-1)/(2/(-14)). Suppose 442 = -58*q + 84*q. Suppose q + s = 3*m. List the prime factors of m. 2 Let g(k) = 3*k. Let l be g(1). Suppose 0 = l*y - 43 - 110. Let q = y - 26. What are the prime factors of q? 5 Suppose 154 = 6*u - 608. List the prime factors of u. 127 Suppose 5*z - 3*p = 10838, 2*z - 2941 = 2*p + 1395. What are the prime factors of z? 11, 197 Let n = 27 - 11. Let m be (-6)/4*n/(-6). Suppose 3 = 2*c + 5*r, -m*c + 9 + 2 = 5*r. What are the prime factors of c? 2 Let w = 70 + -61. Suppose -82 = -l - w. List the prime factors of l. 73 Let c be (-1)/((6/(-4))/3). Suppose -c*l + 0*d = 4*d + 10, -2 = l + d. What are the prime factors of l - ((-2)/(-1) - 12)? 11 Let a(s) = -s**2 + 10*s + 11. Let d = -5 - -17. Let h be a(d). Let z = 36 + h. List the prime factors of z. 23 Suppose m + 20 = 4*d, -4*m - 10 = -d + 25. Let x be (m - -9)/(2/134). Suppose 5*v - v = 5*l - x, -3*v = -3*l + 39. What are the prime factors of l? 3, 5 Let o(v) = -4*v**3 - v**2 + 5*v + 6. Let y(i) = -2*i**2 + 4. Let w be y(2). What are the prime factors of o(w)? 2, 113 Let f = 2274 + -1395. What are the prime factors of f? 3, 293 Suppose 45*j + 25*j - 248290 = 0. What are the prime factors of j? 3547 Let r(d) = 105*d + 18. Let q be r(2). Let p = -134 + q. What are the prime factors of p? 2, 47 Let z(t) = 2*t**2 - 2*t - 2. Let i be z(-1). Let q = -5 - -8. Suppose i*u = q*u - 22. List the prime factors of u. 2, 11 Suppose -4*x = -4 - 28. Let k(u) = -17*u**2 - 1 - 6 + 18*u**2 + 5*u - 11*u. List the prime factors of k(x). 3 Suppose -17*k = -8*k - 16065. List the prime factors of k. 3, 5, 7, 17 Let g = 798 - 370. List the prime factors of g. 2, 107 Let b = -164 - -43. Let f(i) = 17*i + 1. Let p be f(10). Let y = p + b. What are the prime factors of y? 2, 5 Suppose -3*y = -y - 8. Suppose w - 13 = i - y*i, -5*w + 11 = -3*i. Suppose 5*p - 4 = w*p. What are the prime factors of p? 2 List the prime factors of (-18)/(-30)*(6 - 1) - -1463. 2, 733 Let g = -1731 - -5805. List the prime factors of g. 2, 3, 7, 97 Let x be (-1)/(-2) + (-60)/(-24). Suppose 5*j = x*a - 14, -3*a + 4*j + 6 = -7. What are the prime factors of 2*a/((-3)/(-16))? 2 Suppose 5*p - 34 - 16 = 0. Suppose -5*k - 5 = -2*v, 0 = v + 4*k + 1 - p. List the prime factors of v. 5 Suppose 2*a + 7391 = 3*m - 3*a, -5*m = -5*a - 12325. List the prime factors of m. 2467 Suppose -17*f + 22*f + 270 = 0. Let c = -11 - f. List the prime factors of c. 43 Let j(c) = -c + 25. Let t be j(5). Suppose 8*h - t = -2*h. What are the prime factors of h? 2 Let n = -11 - -11. Suppose 0 = 3*l - n - 9. Suppose 0 = -2*r - l*d + 34, 1 - 5 = 2*d. What are the prime factors of r? 2, 5 Let f(t) = 28*t + 16 - 28*t - t**2 - 1. Let j = -22 + 22. List the prime factors of f(j). 3, 5 Let j = 66 + -40. Let d = j - 21. Let x = d + 21. List the prime factors of x. 2, 13 Let i(v) = v**3 + 5*v**2 - 4*v - 16. Let c be i(-5). Suppose -c*p + 123 = -205. What are the prime factors of p? 2, 41 Suppose -2*s = -4*y + 460, 0*s - 230 = -2*y + 4*s. Suppose 65 = 3*f - q, f = 6*f + 5*q - y. Let o = f + -14. List the prime factors of o. 2 Suppose -4*x + 3283 = 5*g, 17*g = 12*g + 5*x + 3310. List the prime factors of g. 659 Let k(y) = 26*y**2 - 5*y - 2. Let a be k(5). Suppose 12 = 3*s, -3*d - 2*s + a = 216. Let x = d - 93. What are the prime factors of x? 2, 5 Suppose 4*q = 12 + 48. Suppose q = p - 3. Suppose 37 = 5*n - p. List the prime factors of n. 11 Suppose -z - 4 - 6 = 0. Let a be (-18)/z + 2/10. Suppose -a*o + 97 = -39. List the prime factors of o. 2, 17 Let z(s) = 7*s**3 - 10*s**2 - 9*s + 36. What are the prime factors of z(8)? 2, 727 Let l(p) = 6*p + 51. List the prime factors of l(39). 3, 5, 19 What are the prime factors of 22/(-187) + (-36390)/(-85)? 2, 107 Suppose x = 3*x - 8. Suppose -252 = -5*t + 3*g, -58 = x*t - g - 261. List the prime factors of t. 3, 17 Let p(s) = s**2 - 13*s + 2. Let o be p(13). Suppose o*d + 24 = 5*d. What are the prime factors of d? 2 Suppose 10*u - 4*s + 278 = 13*u, -3*u + s = -298. Suppose u = 5*m - 762. List the prime factors of m. 2, 43 Suppose -13*f = -17*f + 744. Let a = f - 131. What are the prime factors of a? 5, 11 Suppose 10 = 4*w - 2*f, 4*f - f + 5 = -4*w. Let m be -3 + (2 - (w - 0)). Let p(q) = -14*q - 4. What are the prime factors of p(m)? 2, 3 Let u(v) = -v**3 - 64*v**2 - 48*v - 186. List the prime factors of u(-64). 2, 3, 13, 37 Suppose 0 = 3*d - 6 - 6. Suppose 15 = 5*l - 0*k - 2*k, d*l = k + 15. Suppose 38 = 5*h - l*b - 22, b = 4*h - 33. List the prime factors of h. 7 Let r be -1*45*16/(-40). Let y = r + -26. List the prime factors of (-110)/(-8) - 2/y. 2, 7 Suppose 3*r - 2*r = 4. Let x(l) = 6*l**3 + 2*l**2 - 1. Let m be x(1). Suppose r*i = m*i - 57. List the prime factors of i. 19 Let y(d) = -d**3 + 18*d**2 + d - 18. Let f be y(18). Suppose -78 = -3*t - 3*l - 21, -5*t + 4*l + 122 = f. List the prime factors of t. 2, 11 List the prime factors of 1 + (-2440)/(-5) + -6. 3, 7, 23 Suppose 13*b - 3823 = 4822. List the prime factors of b. 5, 7, 19 Suppose 6*s = -23*s + 39005. List the prime factors of s. 5
{ "pile_set_name": "DM Mathematics" }
+ 1))**2*-4. -634179 - 23041*sqrt(11)/2 Simplify 2*(4 + 2*sqrt(108)*1 - (-5 + (sqrt(108)*-1 - sqrt(108)) - sqrt(108) - (1 + sqrt(108)*-2)))**2*3. 2160*sqrt(3) + 6432 Simplify (sqrt(5500)*2 + sqrt(55) + -3*sqrt(1375))/(5*sqrt(1584)*6). sqrt(5)/60 Simplify 6*(-2*-2*(sqrt(152) + sqrt(152)*-2)*1)/((sqrt(96)/sqrt(4)*-4)/(2*sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300))). -60*sqrt(19) Simplify 3*(-1*(sqrt(68) + -4*(sqrt(68) + -1) - sqrt(68)) - ((sqrt(68) + 0 - sqrt(68)) + sqrt(68) + 5 - sqrt(68) - (-1 + sqrt(68) + -3 + sqrt(68))))**2*-2. -15702 + 1872*sqrt(17) Simplify (sqrt(847)*-3*2 + sqrt(847) + 0 - ((1*(sqrt(847) + -2) - sqrt(847)) + (sqrt(847)*-2 - sqrt(847) - sqrt(847))*3))**2*1. 308*sqrt(7) + 41507 Simplify -5*(2 + ((sqrt(1539) + (sqrt(1539) + 1*sqrt(1539))*2)*-3 - (-4 + sqrt(1539) + -1 + (sqrt(1539) - (-2 + sqrt(1539) + -1 + sqrt(1539))))))**2. -1731455 + 5400*sqrt(19) Simplify 4 + -4*(((sqrt(931) + -1)*6*-5)**2 - (-1*sqrt(2736)*4)**2*2). -3004988 + 50400*sqrt(19) Simplify ((sqrt(180) - (-1*sqrt(180) - sqrt(180))*3 - sqrt(180))/(sqrt(9) + sqrt(9) + sqrt(9)*-1*-4 + sqrt(9) - (sqrt(9) - 1*sqrt(225)))*-6)**2. 25920/121 Simplify 1*5*(2 + (sqrt(475) - (0 + sqrt(475) - sqrt(475)))) - (1 + -3 + (4*-1*sqrt(475) - sqrt(475))). 12 + 50*sqrt(19) Simplify (0 + (-1 + sqrt(1088)*2)*-5 + -1 + -5)**2 + 4. 160*sqrt(17) + 108805 Simplify ((sqrt(490) + -1*4*sqrt(490) + sqrt(490))*-6)/((sqrt(245)*-1*5 - sqrt(245))*2). -sqrt(2) Simplify ((4*1*-3*(sqrt(91) + sqrt(91)*1 + sqrt(91)))/((-2*sqrt(70)*-6 + sqrt(70))/(sqrt(10) + sqrt(10) + sqrt(30)/sqrt(3)*-5)))**2. 11664/13 Simplify (-2*sqrt(448))**2*-4 + sqrt(448) + -2*(1*sqrt(448) + sqrt(448)) - -1*2*sqrt(7)*-3*4*6. -7168 - 168*sqrt(7) Simplify -2*(4 + (-2*(3*sqrt(153)/sqrt(9))**2 - (5*(sqrt(119) + (-4*sqrt(119) - sqrt(119))))/sqrt(7))). -40*sqrt(17) + 604 Simplify ((-1*-3*sqrt(1620)*-4)/(-2*sqrt(432)/(sqrt(60)/sqrt(5))) + 0)**2. 1620 Simplify (-6*-2*(sqrt(450)/sqrt(10)*5)/sqrt(9)*-6 + -5)**2. 3600*sqrt(5) + 648025 Simplify -3 + ((sqrt(152) + sqrt(152) + (sqrt(152) + sqrt(152)*-1 + sqrt(152) - sqrt(152) - sqrt(152)) - sqrt(152))*-3*4)/(sqrt(16)/(-5*sqrt(2)*1)). -3 Simplify ((sqrt(312)/sqrt(32) - -1*-1*sqrt(39))/(sqrt(24)/(-4*sqrt(32))))**2*-5. -1040 Simplify sqrt(156)/(2*sqrt(12)) - (sqrt(13) + -3 + 5) - (3*(sqrt(1300) + (sqrt(1300) - sqrt(1300)*-2) + sqrt(1300))*-3)**2. -2632502 - sqrt(13)/2 Simplify 2 + sqrt(1584) + (-1 + sqrt(1584) - sqrt(1584) - sqrt(1584)) + 5 - ((sqrt(11) - sqrt(88)/sqrt(8))*-2 - (sqrt(11) - sqrt(33)/(sqrt(6)/sqrt(2)))). 6 Simplify 2*(-2 + (sqrt(832) - (sqrt(832) - (sqrt(832) + -2))) + -5 + -4*sqrt(832)*2 + 4)**2. 1120*sqrt(13) + 81586 Simplify (2*(-1 + sqrt(102)/sqrt(6))*2 + 4 + sqrt(68) + sqrt(833) + sqrt(833)*1 + sqrt(833) + sqrt(833))**2. 19652 Simplify (2*(1*sqrt(600)*2 - sqrt(600))*-1)/(-5*-4*sqrt(1200)*-2). sqrt(2)/40 Simplify (sqrt(2736) - (sqrt(2736) + (3 + sqrt(2736) - sqrt(2736)))**2)*4 + (3*1*sqrt(209))/sqrt(11) + 3. -10977 - 237*sqrt(19) Simplify (2*(sqrt(510)/(sqrt(90)*2))/((1*sqrt(363) - sqrt(363) - sqrt(363))*-4)*-3*-4)**2. 17/121 Simplify 4*(-1 + (2*1*sqrt(68)*-1)/((2*sqrt(196) - sqrt(196))*-3)). -4 + 8*sqrt(17)/21 Simplify (-1*(sqrt(65) + 2*sqrt(65) + sqrt(65)) + 4*sqrt(65)*3)/(-1*(sqrt(15)*2)/sqrt(3)*5). -4*sqrt(13)/5 Simplify (-2 + sqrt(14)/(sqrt(22)/sqrt(275)) + (0 + (sqrt(567)*-2 - sqrt(567)))*-2)**2. -236*sqrt(7) + 24371 Simplify (5 + -3 + sqrt(17) - (sqrt(17) + -3)*-6)**2 + ((sqrt(204) + (sqrt(204) + 1*sqrt(204) + sqrt(204) - sqrt(204)))*-2)/(sqrt(84)/(sqrt(14)/sqrt(2))). -230*sqrt(17) + 1089 Simplify (1*((sqrt(99) + sqrt(99) + -2 - (-2 + sqrt(99))) + 2 + sqrt(275) + -3 + 2))**2. 16*sqrt(11) + 705 Simplify -2*(2*sqrt(500) + 0 + 3) - ((sqrt(500) + (sqrt(500) + -2)**2 + sqrt(500))*3 - ((3*(sqrt(500) + -2))**2 - sqrt(500) - sqrt(500))). -360*sqrt(5) + 3018 Simplify ((-3*(sqrt(1008) + 0)*-6 + sqrt(1008) + (sqrt(1008) + 0 - sqrt(1008)) + 0 + 3)*-1)**2. 1368*sqrt(7) + 363897 Simplify 2 + ((6*2*sqrt(18))/(sqrt(54)/(1*sqrt(9))) + 3 + sqrt(675) + 0)**2. 162*sqrt(3) + 2198 Simplify ((-3*sqrt(550))/sqrt(10) - (-2*sqrt(2695) + sqrt(2695)))/(4*sqrt(180)*1*-3). -sqrt(11)/18 Simplify ((-2*sqrt(231) - sqrt(231))/sqrt(7))/((sqrt(60)/sqrt(4))/sqrt(5)) - (3 + sqrt(44)/sqrt(4) + sqrt(11) - -2*(sqrt(11) + 0)). -7*sqrt(11) - 3 Simplify -5*sqrt(30)/(sqrt(120)/sqrt(108) + sqrt(10)) - 2*-2*(0 + sqrt(432) - sqrt(432)). -15*sqrt(3)/4 Simplify (((-1 + sqrt(1900))*3 - (2 + sqrt(1900)*2))*3 + 0)**2*-1 + -5. -17330 + 900*sqrt(19) Simplify 2 + (((1*sqrt(1372) - sqrt(28)) + -1*sqrt(252) + sqrt(28))/(-1*(sqrt(4) - sqrt(12)/sqrt(3)) + -5*(sqrt(4) + sqrt(36))))**2 + -4. -43/25 Simplify 2*(-3*(-2*(3*sqrt(209) + sqrt(209)) + sqrt(209)))/(5*(sqrt(11) + -2*sqrt(11)) - sqrt(176)*6). -42*sqrt(19)/29 Simplify (2*(sqrt(85)*-1*1 - (sqrt(85) + 1*sqrt(85)*5)))/(sqrt(405)*-2*2 + sqrt(405) - ((sqrt(405) + -2*sqrt(405)*-5 - sqrt(405)) + sqrt(405))). sqrt(17)/9 Simplify ((2 + (sqrt(2880) - (0 + sqrt(2880))))*-6)**2 - (3 + (sqrt(75)/(sqrt(20) + sqrt(5)))/sqrt(3))*-5. 5*sqrt(5)/3 + 159 Simplify (-5*1*sqrt(2160))/((sqrt(160)/sqrt(8) + sqrt(5))*5). -4*sqrt(3) Simplify (((sqrt(96)/(sqrt(2)*-2 - sqrt(2)))/(2*(sqrt(4)*-2 + sqrt(4) - sqrt(4))))/((sqrt(6336)*2 - sqrt(6336))/(sqrt(1584) + sqrt(1584)*2)) + 2)**2. sqrt(3) + 67/16 Simplify (6*(-1 + ((-5 + 3*sqrt(448) - sqrt(448)) + sqrt(448))*2 + 2 + sqrt(448) + -5 + sqrt(448) + sqrt(448)*3 + sqrt(448)))**2. -96768*sqrt(7) + 2329488 Simplify 6*(3*((sqrt(65) - (sqrt(65) + (sqrt(65) - sqrt(65)*3)) - sqrt(65)) + sqrt(65))*3)/((sqrt(245) - sqrt(245)*-3)*-3). -9*sqrt(13)/7 Simplify (-3*(3 + (sqrt(11) + (sqrt(11) + 1)*2 + -2*sqrt(704) - (sqrt(44)/(sqrt(4)*-2) + sqrt(99)*1))))**2. -1395*sqrt(11) + 96039/4 Simplify ((-2 + 3*4*sqrt(108)/sqrt(6)*-4)*-6*-6*-3)**2. 6718464*sqrt(2) + 483776064 Simplify ((sqrt(300) + 0)*5 + -5 + ((sqrt(15) - sqrt(240))*-6)/(sqrt(180)*-2))*3. -15 + 291*sqrt(3)/2 Simplify -1*-4*(-1*(sqrt(304) + 2 + -5 + sqrt(19)*2) + -3)**2. 2736 Simplify (sqrt(90)/(sqrt(441) + (sqrt(441) - 3*sqrt(441))))/((sqrt(288)*-3 + sqrt(288))*-5)*-4. sqrt(5)/210 Simplify -3*(2 + 5 + (sqrt(1053)*-6)**2 + ((1*sqrt(1053)*2)**2 - -5*(sqrt(1053) + 2)**2)) + 3. -142233 - 540*sqrt(13) Simplify (1*(-4*(5*-1*sqrt(72) + sqrt(72)) + -2 + -2))**2*-1. -18448 + 768*sqrt(2) Simplify (sqrt(4114) + sqrt(4114) + 5*sqrt(4114)*5)/(sqrt(18)/(sqrt(9) + (sqrt(9) - sqrt(225)*3))). -3861*sqrt(17) Simplify 5 + (sqrt(196)/sqrt(7) + 4*sqrt(7) + 0 + (sqrt(56)/sqrt(72) - sqrt(252)/sqrt(4))*-4)**2. 17545/9 Simplify ((-3*2*sqrt(16) + sqrt(16))/(sqrt(512) + 2*sqrt(512)) + (3 + sqrt(98) - (sqrt(98) + -3*sqrt(98) + sqrt(98))))**2 + 3. 331*sqrt(2)/4 + 113017/288 Simplify (sqrt(84)/sqrt(3)*-3)/((sqrt(484)*-2 - sqrt(484)) + sqrt(484)) - (-5 + -5*(sqrt(700) + (sqrt(700) + sqrt(700)*1)**2)). 1103*sqrt(7)/22 + 14005 Simplify 4*(sqrt(162) + 4)*2 - (-1 + sqrt(32)*-5 + -3). 36 + 92*sqrt(2) Simplify (-2 + (-6*sqrt(1215)*1)/(((sqrt(140)*-1)/sqrt(7))/sqrt(4)))**2. -216*sqrt(3) + 8752 Simplify (sqrt(128)*-3*-5 + sqrt(128) + (sqrt(128) - -4*2*sqrt(128)) - (6*(sqrt(128) + 3) + sqrt(128) + (sqrt(128) - (sqrt(128) + 2)*3)))**2. -3840*sqrt(2) + 51344 Simplify -4*(3 + sqrt(304) + sqrt(304) + 0 + -4)*-6*5*-4. -3840*sqrt(19) + 480 Simplify (3*-1*(2 + sqrt(171) + 2 + sqrt(171))*-2 + 5)**2*-3. -76395 - 6264*sqrt(19) Simplify 1 + (-5*(sqrt(14) - (sqrt(14) + 1*sqrt(14)))*6)/(-2*sqrt(128)*3). -5*sqrt(7)/8 + 1 Simplify -3 + ((sqrt(400) - (3*sqrt(400) - sqrt(400)))*-3)/(sqrt(160)/sqrt(5) - sqrt(288)*-2). -3 + 15*sqrt(2)/14 Simplify 6*(-1 + 2 + sqrt(288) + -2 + sqrt(288) + -2 + sqrt(8) + 5)*5. 60 + 780*sqrt(2) Simplify -6*(-6*-6*(((0 + sqrt(75) - sqrt(75)) + sqrt(75))*-6 + sqrt(75) + 2 + -4)*-2)**2. -58444416 - 3110400*sqrt(3) Simplify (3 + (sqrt(28)/sqrt(4) + 0 + -1*sqrt(63) - (2*sqrt(7056))/((sqrt(175) - (sqrt(175) + (sqrt(175)*-2 - sqrt(175)))) + sqrt(175))))**2. -96*sqrt(7)/5 + 2017/25 Simplify -1*(-3 + -5 + sqrt(684) + sqrt(684)*2 + sqrt(684) + 3*-2*sqrt(684))**2*-3. 576*sqrt(19) + 8400 Simplify (3*(sqrt(600) - sqrt(600)*-1)*-2)/(sqrt(1452)*-1 - 4*sqrt(36)/sqrt(3)) + 3. 3 + 4*sqrt(2) Simplify ((1*sqrt(768)*-3 - sqrt(768))*2)/((sqrt(40) - (sqrt(360) + sqrt(360)*-2))/(sqrt(810) - (sqrt(810) - sqrt(810)*-2))). 288*sqrt(3) Simplify ((((sqrt(114)*-2
{ "pile_set_name": "DM Mathematics" }
-0.5 c Let o = -415 + 420. Let c = 0.01 - -1.99. What is the closest to c in 1/9, 0, o? 1/9 Suppose -2*c + 4 + 4 = 0. Let m(a) = a - c + 4. Let i be m(2). What is the nearest to -0.2 in -3, i, -2/5? -2/5 Let x = 82 + -82.4. Which is the closest to 2/7? (a) x (b) -1 (c) 0.03 c Let c = 33 + -38.2. Let w = 5 + c. What is the closest to w in 3/8, 0, -1? 0 Let i = 0.08 + 2.92. Let r = -1.9 - -2.1. Which is the closest to -1? (a) r (b) -0.5 (c) i b Let y be (2/(-12))/((-2)/(-3)). Let c = 0.5 - 0. Let o = -1 + c. What is the nearest to 0 in y, o, -2? y Let v = -1.1 + 0.1. Let c = -0.1 - 0.3. What is the nearest to 0 in v, c, 0.1? 0.1 Let o = -0.3 + 1.3. Let j = -0.039 - -0.039. Which is the nearest to j? (a) 3/5 (b) o (c) 4 a Let q be 4/(-22) - 0 - 165/(-242). Let c = -38/7 - -176/35. What is the nearest to c in 4, 0, q? 0 Let x(i) = -i**3 - 7*i**2 - 4*i + 7. Let g be x(-6). Let f be ((-18)/(-135))/(1/(-3)). Which is the nearest to f? (a) g (b) -0.4 (c) 5 b Let y = 4 + -3. Let m(w) be the first derivative of -w**4/4 - 5*w**3/3 + w**2/2 + 5*w + 3. Let j be m(-5). Which is the nearest to j? (a) -3 (b) -5 (c) y c Suppose 1550 = 2*i + 2*v, 4*i = 2*v + 2901 + 205. Let c = i + -28714/37. Let m = c - 56/333. What is the closest to 1 in m, -2, 0.4? 0.4 Suppose -8*q = -6*q + 8. What is the closest to 3 in -3, q, -0.5? -0.5 Let z = -1.5 + 2.5. Which is the nearest to z? (a) -0.4 (b) -5 (c) -1 a Let t = -6 + 2. Let p be ((-2)/9)/(t/(-6)). Which is the closest to -2? (a) -0.1 (b) p (c) -2 c Let z = 3/41 - 91/123. What is the nearest to 3 in z, -1, 3? 3 Let g = -29 + 25. What is the closest to 1/2 in -2/9, -5, g? -2/9 Let h = -0.3 + 0.6. Which is the nearest to -1? (a) -1/5 (b) -1 (c) h b Let d = 35 + -29. What is the closest to -2 in -2, -2/13, d? -2 Let j = -0.1 + -3.9. Let z = 75 + -68.4. Let o = z - 7. Which is the closest to -2? (a) -5 (b) j (c) o c Let r = -21 + 23.5. Let j = 2 - r. What is the nearest to 1 in 2/9, 3, j? 2/9 Suppose 2*u = -9 + 7. What is the closest to u in -2/3, 5, 2? -2/3 Suppose -3*h = h - 4*s - 20, -4 = s. What is the nearest to h in 0.5, 0.6, -3? 0.6 Let i = 2/43 - 96/215. Which is the closest to 0? (a) -1 (b) i (c) -0.2 c Let y be 11 - 7 - 51*4/54. Which is the nearest to -2? (a) y (b) -3 (c) 0.4 b Let v = -0.5 + 0. Let d = -3 - 1. Let w = 1 + -4. What is the closest to 2/7 in v, d, w? v Let m be (-4)/((-24)/(-5))*4/10. Which is the nearest to 1? (a) m (b) 2 (c) 2/7 c Suppose -5*h - 304 = -3*h. Let i be (-27)/36 + (-98)/h. Which is the closest to 0.1? (a) -3 (b) 1 (c) i c Let j = -52.3 - -52. What is the closest to -1/3 in j, 2, -2? j Suppose 2*v + 1 = v. Let r be -1 - (0 - (5 + 0)). Suppose z - 3*f = -f, 0 = z + r*f. What is the nearest to 2 in v, -4, z? z Suppose -4*q + 18 = -p, 5*q - 17 = 4*p - 0*p. Suppose -i + p*i = -21. Let d be 30/i*1 - -2. What is the closest to 0 in -1/2, -3, d? -1/2 Let x = -0.5 - -0.6. Let h = 629/4 - 158. What is the closest to x in h, -5, 2? h Let p = 88/7 + -76/7. Let z = p - 118/77. Let f(n) = -n + 3. Let q be f(2). What is the closest to q in 1, z, 0.3? 1 Let o(y) = y**2 + 2*y - 1. Let r be o(1). Let d = 0.222 + 0.178. Which is the closest to r? (a) -2 (b) d (c) 0 b Let q = -144 + 717/5. Which is the closest to -2? (a) q (b) -2 (c) 4 b Let l = -57 - -57.8. What is the nearest to 1/2 in 2, 1/6, l? l Let p = 178/5 + -36. Suppose -3*r = 5*j, -5*r = 2*j + 9 + 10. Suppose -3*i + j*h = -3, -5*i - 8 - 2 = -2*h. Which is the closest to p? (a) 0.1 (b) 0.3 (c) i a Let q = -6 - -1. Let c = 0.9 + -1. Let p = -0.1 - -0.6. What is the closest to c in p, 1, q? p Suppose -2*v - 6 = 4*k, -2*k + 5 = -3*v - 4*k. Let o be ((-9)/(-54))/(v/(-4)). Which is the closest to -1? (a) -1/5 (b) 2/15 (c) o a Let d = -78/11 - -212/33. What is the closest to -1 in -1, d, -2? -1 Let n = -83 + 83.1. Which is the closest to n? (a) 2/3 (b) 2 (c) -29 a Let d be ((-1)/(-14))/(3/(-12)). Let p = 39 + -25. Let o = -9 + p. Which is the nearest to d? (a) 1 (b) 0 (c) o b Suppose -5*j + 80 = 5*u, 2*u - 14 = 2*j + 2. Suppose 5*n = -4*r + 2*r - 15, -r - u = 4*n. What is the closest to r in -3, 2/11, -0.2? 2/11 Let z = 6 + -2. Let f = 0.2 + 0.3. What is the nearest to 1/4 in 3, z, f? f Let n(x) = x**3 + 4*x**2 + 5. Let o be n(-4). Let t be 4/16 - 4/8. Which is the closest to t? (a) 0 (b) -3 (c) o a Let t = -0.5 + 0.5. Let y be ((-18)/12)/(36/16). Which is the nearest to t? (a) y (b) 3/7 (c) -0.2 c Let s = 0.019 + 0.981. What is the nearest to 0 in 0.2, -6, s? 0.2 Let f = 1.2 + -10.2. Let u = -9.2 - f. What is the closest to -2/5 in 0.3, u, 1? u Let t = 3.9 + 0.1. Let x = t - 4.3. Let m = 1.1 - -3.9. What is the nearest to -0.1 in 0, m, x? 0 Let d = 0.54 - 0.34. What is the closest to d in -0.2, 3/4, -3/2? -0.2 Let v = 2 - 7. Let s = -5 + 5.9. Let l = -0.8 + s. Which is the nearest to l? (a) v (b) -4/5 (c) 4/7 c Let s = 6 - 8. Let b = s + 4.9. Let v = b + -3. What is the nearest to -0.1 in v, 1, 0.4? v Let t = -4.16 - -0.16. Let i be -2 + -1 + (-7)/(-2). Which is the nearest to i? (a) -3 (b) t (c) 3/8 c Let y = 2.8 - 3. Let b = -582 + 1748/3. What is the closest to b in 2/3, y, 2/5? 2/3 Let c = 113.2 + -113. What is the closest to -1 in -4, -0.3, c? -0.3 Let k = 0 - -1. Let u = -41/4 + 10. Which is the nearest to k? (a) -4/5 (b) u (c) -0.2 c Let i = 386/7 - 55. Suppose -4*x + 8*x - 8 = 0. What is the nearest to 2/7 in i, 0, x? i Let w = 10 - 15. Suppose 4*f = 2*b - 16, 8*b - 16 = 4*b. Let o = f + 2. What is the closest to o in w, 0.2, 0.3? 0.2 Suppose 0 + 3 = -3*y. Which is the nearest to -0.1? (a) 5 (b) y (c) 1 b Let x = 1.4 - 1.53. Let u = x + 0.06. Let v = 2.07 + u. Which is the closest to -0.1? (a) 0 (b) 0.2 (c) v a Suppose p + 0 + 2 = 0. What is the closest to -1 in 0.1, p, 4? p Let u = 2.84 + -0.81. Let o = -0.03 + u. Which is the nearest to -0.1? (a) -3 (b) o (c) 0.5 c Let y = 97/220 + -12/11. Let j = -1/4 - y. Which is the nearest to 0? (a) j (b) -0.3 (c) 3 b Suppose 6 = s + 4. Let p be 3*(s - (-44)/(-20)). Let u = 5.3 - 5. What is the nearest to -1/3 in u, -5, p? p Let m be 1/(((-1)/(-9))/(-1)). Let f be 38/m + 2/9. What is the nearest to -1 in f, 0, 3? 0 Let o be 5/15*(-3)/(-4). Let h = -8 + 11. Let l = 41 + -370/9. Which is the nearest to o? (a) 0.2 (b) h (c) l a Let i be (-5 - -2)/((63/(-2))/(-7)). Which is the nearest to -1/3? (a) i (b) -0.5 (c) -2 b Let f = 5 + -8. What is the nearest to -0.1 in f, 1, -3/4? -3/4 Let o be (-3)/(-6) + (-25)/42. Let m be -1*(-19)/(-4) - -4. What is the nearest to -2 in -5/6, m, o? -5/6 Let j = -217/3 + 72. Let r = -13/2 + 27/4. Which is the nearest to -11? (a) r (b) 3 (c) j c Let f = -1087/9 + 121. Let l = 0.2 - 0.3. Let w = -0.3 - l. Which is the nearest to 1? (a) w (b) -1/4 (c) f c Let n = 2 + 3. Let w = n - 3. Let t = -9 + 9.1. Which is the closest to t? (a) w (b) -1 (c) -5 b Let g be 0*3/(-18)*3. Suppose 3*l = 4*h + 28, 4*h + 15 + 1 = g. Let b = -0.46 - -0.06. What is the closest to l in b, -1, -2? b Let w = -26 - -26.3. Which is the closest to -1? (a) 0.4 (b) -2/11 (c) w b Let g = 7 + -5. What is the closest to 1 in g, -0.2, -2/9? g Let h = 4.4 - 3.4. Which is the nearest to 0? (a) 4 (b) h (c) 1/4 c Let d = -0.36 - 0.04. Let n be (-6)/21 - (-104)/(-28). What is the closest to -0.2 in d, 5, n? d Let g = 5.5 - -1.5. Let k = g - 15. Let n = 4 + k. Which is the nearest to -0.1? (a) -0.1 (b) n (c) 0 a Let u = -1.6 - -1.4. Which is the nearest to 1/5? (a) 0 (b) u (c) 3/8 c Let i = -0.01 - 0.02. Let y = -117/4 - -29. What is the nearest to 1 in -2, y, i? i Let t(f) = -f**2 - 5*f - 7. Let k be t(-3). Which is the closest to -3? (a) 1 (b) k (c) 5 b Let r be -2 - (-13 - (1 + -4)). Suppose -5*l + 7 = -r. Which is the nearest to 0? (a) -1/2 (b) 5 (c) l a Let g = 0.7 + 2.3. Let s = 1678/91 - 128/7. What is the nearest to 0.1 in g, -0.2, s? s Let f = 0 + -4/7. Let i = 15 + -15.1. What is the nearest to 0 in 1, f, i? i Let o = -12.9 + 13. Let q = -6 - -3. Which is the nearest to 0.2? (a) o (b) -2/7 (c) q a Let j = 2.7 + 2.3. Which is the nearest to -1/3? (a) 2/17 (b) j (c) 2 a Let i = -0.02 - 0.06. What is the closest to 0.1 in 3, i, -3? i Let q be (0 - -2) + 3/(-2). Let a = -28.8 - -29. Wha
{ "pile_set_name": "DM Mathematics" }
et q = b + 10. Let t be (q/2)/(2/48). Solve -4*s - u + t = 0, 2*s - u = -6*u - 12 for s. 4 Suppose 5*j + 12 = -h - 2*h, 3*h + 12 = 3*j. Solve -4*m + 2*u = -2*u, 5*m + u - 30 = j for m. 5 Let r = 148 + -146. Solve -2*c - 3 = r*m - 1, -3*c - 5*m - 13 = 0 for c. 4 Suppose -4*r = -y - 2*r + 30, 0 = -2*r - 6. Solve 0*m - 2*w = 4*m + 6, y = -m + 4*w for m. -4 Suppose -x - 10*c + 2 = -7*c, 0 = -3*c - 3. Let n = 11 + -8. Let r be 2 - (-2 + -1)/n. Solve 2*i + r*i - 5 = 0, 0 = d - i + x for d. -4 Let p(o) = -8*o**2 + 87*o + 13. Let q be p(11). Solve 2*d = 2*i + 10, 2*d = i - q + 9 for i. -3 Suppose 3*k = 4*k - 3. Let y be 5*(-1)/(10/52). Let s = y - -27. Solve -3*j - x - 3 = 0, k*j + 2 = -4*x - s for j. -1 Suppose -5*f - 5*y = -6*y - 8, -y = 4*f - 10. Let q(i) = i**2 - 10*i - 17. Let h be q(12). Solve 6*k + j - h = k, 0 = f*j + 6 for k. 2 Suppose 57*h + 7 = 58*h. Solve -2*s - 4*d = 0, -h = 3*s - 4*d - 27 for s. 4 Let w(b) = -2*b**3 - 25*b**2 + 15*b + 29. Let a be w(-13). Solve o = -a*o - 3*d + 4, 0 = -2*o - 3*d - 4 for o. 4 Suppose -y + 4*u + 124 = -0*u, -4*u = -2*y + 236. Let v = y + -99. Solve -5*m = 3*r - 28, m - v = -5*r - 3 for r. 1 Let t be (4 - 6)*(-5)/(-1). Let k = t + 18. Solve a = 5*x + 21 + k, 26 = -2*x + 4*a for x. -5 Suppose 50 = 7*s + 36. Solve -20 = -4*z + 3*k, s*k - 4 = -5*z + 21 for z. 5 Let w be (3/2)/((-1)/28*-14). Solve -9 = -w*v, -l - 7*v + 16 = -2*v for l. 1 Suppose -3*p + 2 = -7. Suppose p*l - n = 4 + 7, 5*l - 17 = 3*n. Solve 24 = 4*i - 0*o + 4*o, 3*i - l*o = 11 for i. 5 Suppose 27*s = 30 + 24. Solve 3*q + 3*k + 14 = -4, q = 3*k + s for q. -4 Let d(i) = -i**3 - 11*i**2 - 17*i + 12. Let h be d(-9). Suppose -4*w - 2*x = -4, 0 = 3*w + h*x - x - 1. Solve -2*s - w*v = -4, -11 = -4*v - 3 for s. -1 Let r(v) = -2*v**2 + 13*v - 3. Let o be 9*4/24*4. Let f be r(o). Let y be (-9 - 3)*f/(-4). Solve -i + 4*i + 3 = -4*x, -y = -i + 2*x for i. 3 Let o(i) = i - 1. Let v be o(5). Let a be 2/v + (-1)/2. Let x be -1 + 5 + -1 + a. Solve -2 = 2*g - 4*g, 0 = -x*b + g - 4 for b. -1 Let v(z) = -5*z**2 + z. Let x be v(1). Let u be (0/(-1))/(x - -2). Solve u = -s, 4*t + 30 = s + 10 for t. -5 Let f(c) = -2*c**2 + 19*c + 15. Let p be f(9). Suppose 0*w + 2*w = 2*r + 68, -4*w = 3*r - 150. Solve -w = 5*i + 4*d, p = -5*i + 4*i - 5*d for i. -4 Let m be (-1)/(24/25 + -1). Solve 0 = 5*h - t + 8 + 22, -2*h - m = -3*t for h. -5 Let t be 28/(-4) + 14 + -5. Solve 6*f - r = 8*f - 4, 2*r = t*f + 2 for f. 1 Let w = 76 + -80. Let r be (12/w - -2)*-5. Solve 3*o = m - 9, 0 = 2*o + r*m - 8 + 31 for o. -4 Let w(c) = c**3 - 5*c**2 - 6*c - 5. Let i be w(6). Let k be (-2)/5 - 12/i. Let f = k - -1. Solve 2 = -3*d + t, -f*t + 6*t - 20 = -5*d for d. 1 Suppose -2 = -m + 13. Suppose w - 3*a = -w + 21, m = -3*a. Let b be (0 + w)/(45/30). Solve b*v + q + 1 = -0*q, 2*v - 3 = 3*q for v. 0 Suppose -2*k = -3*f - 5*k + 48, -2*k + 2 = 0. Solve u = -5*v - 3, 0*v - f = -3*v + 5*u for v. 0 Suppose -249*d + 135 = -222*d. Solve 5*u - 12*p + 7*p = 10, -d*p = 2*u - 25 for u. 5 Suppose 6*m - 4*m = 5*y - 35, 15 = y - 2*m. Solve -3*o + 5*w = -10, -w + 30 = -2*o - y*w for o. -5 Let z be ((-4)/(-8))/((-2)/(-8)). Let a be (2/(-4))/((-4)/56). Suppose a*i - 10*i = 0. Solve -z*g - 1 = -i*w - w, -3*w = g - 17 for w. 5 Let f(v) be the second derivative of -v**5/20 + 7*v**4/12 - v**3/6 - 27*v**2/2 - 17*v. Let g be f(6). Solve 9 = -3*i - g*x, -i - x = -6*x - 21 for i. 1 Let d = -178 + 185. Solve -5*q = -6*b + 2*b + d, 4*q = -4*b - 20 for b. -2 Let h = -46 + 51. Suppose -h*a = -5 - 10. Solve -4*o - i + 20 = 0, 4*o + a*i - 4*i = 20 for o. 5 Let v(p) = p + 7. Let n be v(-4). Suppose -4*k - 5*j = -0*k + 25, n*j + 15 = -k. Solve c = 0, 3*c - 2 = -2*r - k*c for r. 1 Suppose -2*l + 5*o + 8 = 27, 3*o = -4*l + 27. Solve 5*w - 7 = l*w + 3*z, 2 = 4*w - 2*z for w. -1 Suppose 3*g - a - 4 - 7 = 0, 12 = 2*g - 3*a. Suppose -5 - 10 = 5*j, 18 = 3*w - g*j. Suppose w*x - 28 = 23. Solve -8 + 1 = 2*d - r, 4*d - r = -x for d. -5 Suppose -2*y - 20 = -3*c, -8 = -2*c + 5*y + 20. Let d be c - (0/(-2))/1. Solve 4*x - 13 = -3*l + 6*x, -d*l = 5*x - 2 for l. 3 Let k = 932 - 925. Solve 0 = -4*u + 2*d - 29 + k, 3*d - 15 = 0 for u. -3 Let x(i) be the third derivative of -1/60*i**5 - i**3 + 9*i**2 - 7/24*i**4 + 0 + 0*i. Let z be x(-5). Solve -4*b - z*u = -16, 5*u = 2*b + 3*u + 12 for b. -1 Let v = 16 - 23. Let t(g) = -g**2 - 7*g - 4. Let d be t(v). Let r be (-2)/(-1) - (3 + d). Solve -5*m + r*n + 5 = n, -4*m - 8 = -4*n for m. 3 Let o = 85 + -50. Suppose -4*d - 5*c + o = 0, -d - 2*c + 11 = -0*c. Suppose 2*p - 5 = 5. Solve n + 0*n - 5*r = d, 0 = 2*n + p*r + 20 for n. -5 Let t(l) = -l**3 + 20*l**2 - 20*l + 19. Let m be t(19). Suppose 0 = -2*p - m*w + w + 12, 0 = 4*p + 2*w - 24. Solve k = -3*i + p, 0*i = -4*i - k + 7 for i. 1 Suppose 3*k - 31 = n + n, 10 = -5*n. Let z = k - 9. Suppose -5*l = -l. Solve q - 5*f - 15 = z, -f = -l + 3 for q. 0 Let l(w) = w**3 + w**2 + w - 1. Let d be l(1). Suppose d*m - 5 - 5 = 0. Solve k + 5*y = m, 5*k - 4*y = 3*k - 18 for k. -5 Let w(c) = c**2 + 6*c - 12. Let l be w(-7). Let g be (-1 + 1)*(-1)/(-1) - l. Solve i = 3*t, i = -t + g*i - 11 for t. 1 Suppose -x = 6*j - j - 26, -4*j + 2*x = -18. Let s = 5 - 4. Let m be j + 0 + (2 - s). Solve -6 = -3*z + 5*n, -5*n = -m*z + 8*z - 4 for z. 2 Suppose 0 - 3 = -f. Suppose 2*v - x = 40, -v + 4*x = f*v - 88. Let z = -6 + 8. Solve -s - g = -6*g + v, 0 = -z*g + 6 for s. -3 Let y(z) = -z**3 - z**2 + z + 8. Let s be y(0). Let f be 10/4*s/10. Suppose -2*b + f = -16. Solve -2*k + k - n + b = 0, -k + 4*n - 11 = 0 for k. 5 Let n = -19 - -25. Solve 4*u - 7 = 3*y, n*y = -4*u + y - 1 for u. 1 Suppose -2*w - 7 = -11. Suppose x - 5 = -2*x + 5*a, 5*a = w*x. Solve 0 = -2*z - 4*u + 26, -4*z = -0*z - x*u for z. 5 Suppose -n + 504 = 5*n. Suppose 0*a = -6*a + n. Solve 0 = -2*f + 4*q, -3*f + a = -5*q + 6*q for f. 4 Suppose 32*m - 57 = 103. Solve -3*y = -m*x + 17, 17 = 2*y + 3*x + 3 for y. 1 Suppose -2*o = -4*v + 9 + 19, -4*v = -3*o - 24. Solve -d + 0*z = 3*z + 9, -5*d = -3*z - v for d. 0 Let l(y) = y**3 - 39*y**2 + 77*y - 109. Let a be l(37). Solve -n + 5*z = -6 - 3, -a*z = 4*n - 14 for n. 4 Let x(v) = v**3 - 5*v**2 - 6*v + 3. Let p be x(6). Suppose 3*t = d, -4*d + 9*d - 19 = -4*t. Let m = 0 + 23. Solve -3*f + t = p*w - 8, w = -5*f + m for f. 5 Let n(k) = -k**2 + 69*k - 1188. Let j be n(33). Let i(p) = p**2 - 4*p - 7. Let r be i(6). Solve -r*y - 4*s + 11 = j, s - 8 = -4*y - 2*s for y. -1 Suppose -5*c + 18 + 7 = 0. Suppose -2*k - 9 = c*x, 10 - 1 = 5*k + 2*x. Solve 6*l + 14 = -k*b + l, 4*b + l - 4 = 0 for b. 2 Let x be (-6)/(228/(-209)) + 3/(-2). Solve x*i = k, 3*i + 14 = -4*k - 5 for k. -4 Suppose 2*u + 3*a - 2*a = 75, 4*a - 12 = 0. Suppose -2*s - 3*p = -p - 12, u = 3*s - 3*p. Let t = 14 - s. Solve -2*f + 2*i = 5*i - 9, t*f = 4*i + 11 for f. 3 Let b = -36 - -39. Suppose 20 = k + b*k. Solve -4*y - 7 + 27 = 0, -k*o = 2*y for o. -2 Suppose k - 2*k = -i - 10, 5*k + 4*i - 23 = 0. Solve 5*a + 28 - k = 4*t, -a - 5 = -t for a. -1 Let g = 15 - 16. Let l = g + -2. Let k be (2/l)/((-2)/15). Solve 2*x - 2*i = 0, -k*x + 5*i = -2*x + 6 for x. 3 Suppose -14*t - 8 = -13*t - 4*l, l - 19 = -4*t. Solve -4 = t*c - 2*c, 5*k + 4*c = -23 for k. -3 Let b(x) be the second derivative of x**5/4 - x**4/12 + 2*x. Let f be b(1). Let i = 136 - 128. Solve -i = 4*w - 0*w + f*p, 0 = -3*w + 4*p + 15 for w. 1 Let p(q) be the second derivative of -2*q**3/3 + 81*q**2/2 + 17*q. Let o be p(19). Solve 2*n - 1 = -2*j + 5, o*j = 5*n + 15 for n. 0 Suppose -l - 6 = 2*g + l, 0 = -5*g - 4*l - 17. Let r = g - -7. Solve 3*h + 3*p - 2 = 7, -4 = -r*p for h. 1 Let m = -20 - -19. Suppose -5*y - 4 = 3*i + 6, -5*y + 2*i + 15 = 0. Let o be (1 - y)/(-2 - m). Solve o = -5*l + 3*f + 9, 0 = -2*l - 4*f + 7*f + 9 for l. 0 Let r = 360 - 355. Solve -r*u + u + 2 = 5*y, -4*u = -5*y - 22 for y. -2 Suppose 0 = -6*k + 7*k - 3. Suppose -3*a = -0*a + k, 3*a - 32 = -5*u. Solve u*q - 3*q - 10 = 5*p, q = -4*p + 13 for q. 5 Suppose -5*n + 5*u = -60, -2*u = 4*n + u - 34. Solve 4*v - r + 19 = -0, -3*v - n = -5*r for v. -5 Let p = 170 + -169. Solve -b - 4*g - 15 = 0, 0 = 2*b - 5*g + p - 10 for b. -3 Let j be -1 + -22*(-15)/10. Let g be 1/(-5) + j/10. Solve -1 = o, -3*b + g*o - 5 = -o for b. -3 Suppose 23*v = 17*v + 30. Solve -3*m - 2*w - 10 = 0, -v*w - 1 = -6 for m. -4 Let x(j
{ "pile_set_name": "DM Mathematics" }
.0218. Which is the biggest value? (a) -10 (b) n (c) 0.08 (d) 5 d Let u = -18.5 + -10.5. Let m = 101.2 + -130. Let n = u - m. Which is the smallest value? (a) 2/13 (b) n (c) 4 b Suppose 4*x + 18 = -2*n - 2, 5*n - 4*x = -8. Let m be 4 + (-1128)/273 + (-24)/(-84). Which is the third smallest value? (a) -2/11 (b) m (c) -3 (d) n a Let w = 1 + -4. Let r be (-4)/(-14) + (-1)/28. Suppose 0 = 16*k - 260 + 276. What is the second smallest value in k, w, r? k Let n = 13.9 - 13.5. Which is the fourth smallest value? (a) 3 (b) -3 (c) -0.7 (d) n a Let z = 15/2 + -7. Let f be -8*-45*(-3)/(-6). Let k be 3 - 6/20*f/24. What is the third biggest value in z, k, 1/4? 1/4 Let g = 0.32 + 0.18. Let s = 3.4 - 3. Let k = s - 0.9. What is the second biggest value in 0, g, k? 0 Let g(k) = 2*k + 16. Let b be g(-9). What is the smallest value in b, 0.5, -16? -16 Let k = 2786.7 + -2787. Let z = 0.05 + -2.05. Let m = 1.91 + z. What is the second biggest value in m, k, -0.1? -0.1 Let y(n) = 52*n + 50. Let w be y(-1). Which is the third biggest value? (a) w (b) 0.45 (c) 0.01 a Let n = 0.44 + 3.56. Which is the biggest value? (a) 3 (b) -13 (c) n c Let i = 32 + -22.2. Let w = -9.8 + i. What is the second smallest value in -5, -4, -1.4, w? -4 Let y = 2.7 + -0.7. Let g = -0.3 - -11.3. Let u = 11.4 - g. Which is the third biggest value? (a) y (b) u (c) -2 c Let a = -1832/15 - -122. What is the third biggest value in -0.3, -20/7, a, -5? -20/7 Let v = -13 + 16. Suppose 2*o - v = o. Suppose n - 4 = -2*d - 2*d, o*n - 4 = -4*d. Which is the smallest value? (a) 5 (b) 4 (c) d c Let f be 15/(-9) - 2/(-18)*-3. Let s be 4/8 - (105/(-66) - f). What is the third smallest value in 2/7, s, 1/2, 5? 1/2 Let j(r) = -r**2 + 5*r - 4. Let g be j(3). Let o be g*-2*18/24. What is the smallest value in -0.1, 0, o, -2/17? o Let d = -313 + 309. Let z be -1 + 1 + 2/(-6). What is the biggest value in z, 0.5, d, 0.4? 0.5 Let x = -0.92 + 1.7. Let s = -2.8 + 3.02. Let i = s + x. What is the biggest value in 1.4, -0.1, i? 1.4 Let n = 15 + -15.7. Let t = -112 - -112.9. Let v = t + n. What is the third smallest value in -1, v, 5? 5 Let i(r) = 21*r - 106. Let g be i(5). What is the smallest value in 11/3, g, 6/7? g Let s = -183 - -911/5. What is the third biggest value in s, 1/4, -1? -1 Let f(l) be the first derivative of -l**4/4 + 8*l**3/3 - 6*l**2 + 24*l + 13. Let i be f(7). Which is the third smallest value? (a) -1/3 (b) 0 (c) 0.2 (d) i b Let l(j) = 9*j + 8 + 3*j + 2*j**2 - 6. Let w be l(-6). Let m be w - 6/3*-1. Which is the smallest value? (a) -2/7 (b) -3 (c) m b Let q be (53/(-318))/(2/30). Which is the smallest value? (a) -3 (b) -0.4 (c) -13 (d) q c Let v = -3 + 4.7. Let k = v - 1.9. Which is the third biggest value? (a) 0 (b) 2/9 (c) k c Let f = -0.358 + -0.042. What is the biggest value in -4/3, -1/6, 0, f? 0 Let u = 11.6 + -11.72. Let s = -0.08 + u. Let z be 8/12 - 23/21. Which is the biggest value? (a) s (b) z (c) 5 c Let w be 6/(-15) + (46/(-10) - -3). Let t = -10 - -9.79. Let x = t + 0.01. What is the second biggest value in 0, w, x? x Let h = 56/9 + -32/9. Let o = -37/15 + h. Which is the biggest value? (a) 11 (b) -0.3 (c) o a Let i = 2191 + -2190.6. What is the third biggest value in -2/13, 18, i, -4/5? -2/13 Let t be -5*(-3)/180*(-45)/(-10). Which is the biggest value? (a) t (b) -0.2 (c) -48 (d) 3 d Let v = 9 - 5. Suppose 4*d = 2*u - 2, 4*d + v*u + 2 - 18 = 0. Let x = 3.52 + -1.52. What is the second smallest value in d, x, 1/3? d Let n be 4/10 + 120/200. Which is the third biggest value? (a) 2/5 (b) n (c) -2/91 c Suppose d + 8 = -3*d. Let n = 0.334 - 0.734. Which is the second biggest value? (a) 0.02 (b) n (c) d b Suppose 2*q - 6*q = 0. Suppose -5*x + q*i - 3 = 4*i, 2*i = 3*x - 7. What is the second smallest value in -1/5, x, -1? -1/5 Let m = -281.5 + 282. Which is the fourth biggest value? (a) -1.3 (b) m (c) -1 (d) -2/5 a Let v = -1.026 + 1.426. Which is the fourth biggest value? (a) -3/7 (b) v (c) 1.2 (d) 0.01 a Let f = -10 + 6. Let k be 3 + (4/(-6) - 2/6). Which is the biggest value? (a) f (b) 3 (c) k b Let t = -8 - -6. Let m = 520 - 520.4. Which is the second biggest value? (a) -8 (b) m (c) t c Let n = 14.423 + -0.323. Let f = n - -2.9. Let p = -17 + f. Which is the smallest value? (a) -0.4 (b) 0.5 (c) p a Let y = -3/7 + -1/14. Let o = 957.3 - 957. Let v = -3 + 3.5. What is the third smallest value in y, v, o? v Let r = 1.77 + -4.77. Let i = -6 - -5.4. Let w = i + 0.8. Which is the third smallest value? (a) 1/6 (b) w (c) r b Let t = -43.23 + 43.33. Let u = -6 + 3. Which is the third biggest value? (a) -2/7 (b) u (c) t b Let t be 10/(-2) + -6*(-110)/60. What is the third biggest value in -3, t, -2? -3 Suppose -2*s = k - s - 3, -37 = -3*k + 4*s. Let g be (-1)/(k/6*2). Let t be ((-18)/(-27))/(7/3). Which is the second biggest value? (a) t (b) g (c) 0.1 c Let l be 12/54 - 2/6. Let y = 0.81 - -0.19. What is the biggest value in y, 2, l, 0? 2 Let u = 0.06428 - 0.46428. Suppose -2*t - 5 = 3*n, -5*n + 2*t = t + 17. What is the third smallest value in n, 3, u? 3 Let o = -52/171 - 5/171. Which is the biggest value? (a) 0.6 (b) -5 (c) o (d) -3 a Let w be (4*(455/(-150) + 3))/6. What is the second biggest value in -0.1, w, -5? -0.1 Let q = -1 - 5. Let p = 6.9 + q. Let l = p - 1.3. What is the smallest value in 4, l, 0? l Let m = -161 + 161.1. Let u = -7 - -3. Let j = -5 - u. Which is the second biggest value? (a) 2/5 (b) m (c) j b Let a = 36.2 + -36.3. What is the third biggest value in a, -0.02, -0.06? a Let h(s) = 3*s**2 + 1. Let a be h(-1). Let x(r) = 2*r - 3. Let i be x(a). Let b be (-16)/6*(0 + 6/24). What is the smallest value in i, -2, b? -2 Let q = -2 - -7. Let j = 34 - 33. Let m = 3 - j. Which is the second biggest value? (a) m (b) 0 (c) q a Suppose 3*l = 5*p + 7 + 1, 0 = 2*p - l + 3. What is the fourth biggest value in p, 18, 1/5, -2? -2 Let y(z) = -2*z**2 - 11*z + 5. Let b be y(5). Let k be (-1 - 39/(-12))/((-15)/b). What is the biggest value in k, -0.4, 2/7? k Let u = -36.8 - -41. Let n = 2.2 - u. Let o = 0.06 + -0.46. Which is the smallest value? (a) n (b) 0.4 (c) o a Let n = -0.088 - 0.412. Which is the smallest value? (a) 12/13 (b) n (c) 0 b Let h = -453 - -452.8. Which is the second biggest value? (a) -0.1 (b) 2/3 (c) -2/9 (d) h a Let p = 162/5 - 977/30. Let d = 352/5 - 70. Which is the third smallest value? (a) d (b) 3 (c) p b Let g = -1 + -1. Suppose -45*l + 39*l - 6 = 0. Which is the third biggest value? (a) g (b) -2/5 (c) l (d) -5 a Let v = -1643 - -11505/7. What is the third biggest value in -2.6, 2/3, 4, v? v Let s = 0.4824 - 0.0824. Which is the fourth smallest value? (a) s (b) -173 (c) -2/15 (d) -0.5 a Let p = 6/29 - 158/203. Suppose 8 + 12 = 5*t. Suppose -5*k + t*u + 10 = 0, 2*u + 2 + 4 = 2*k. What is the third smallest value in p, -3/4, k? p Let x = -0.067 + 3.067. Let m = -0.63 - 2.37. Which is the biggest value? (a) -2 (b) m (c) x (d) 0.5 c Let s(t) = -t**2 + 16*t + 12. Let g be s(16). Let x be g/30 + (-6)/(-135). Let h = 0.1 + -0.05. What is the second smallest value in 2/9, h, x? 2/9 Let v = -12572 - -12574. Let g = -1.3 - -0.3. Which is the second smallest value? (a) v (b) g (c) -0.2 (d) 2/15 c Let h = 50.7 + -53. Let f = 2.7 + h. Which is the second biggest value? (a) -5/4 (b) f (c) 2 b Let m = 11/3 + -127/33. What is the biggest value in m, -49, -4? m Let n = -39 - -44. What is the second biggest value in 0.4, 0.91, n? 0.91 Let q be 8/20 + 58/(-70). Let d = -1.4 + 1.6. What is the third biggest value in -2/5, q, d? q Let i = -848 + 5938/7. What is the third biggest value in 1/2, 4/43, i? 4/43 Let z = -1214 - -1215. What is the fourth smallest value in 2, z, -7, -8? 2 Suppose -4*z + 28 = 4*g, -g + 2*z = -0 + 8. What is the smallest value in -2/3, 0.1, g, -0.2? -2/3 Let n = -0.62 + 0.63. Which is the biggest value? (a) 4 (b) n (c) -80 a Let k = -15243/7 + 2178. Let j = -0.038 - 44.962. Which is the third biggest value? (a) k (b) -0.5 (c) j c Let h = -1.5 + 1. Let p be 6*(249/5)/(-3). Let s = p - -100. Which is the second smallest value? (a) s (b) h (c) 0 c Let b be (-12)/24*(-1 + 1 + 2). Let z = -0.5 + 0.48. Let w = -0.28 + z. What is th
{ "pile_set_name": "DM Mathematics" }
-4*p - 3*p + 2*p = 5*p - 120 for p. 12 Solve -53*l - 277*l + 4829 - 40469 = 0 for l. -108 Solve 0 = 151*o + 5566 - 734 for o. -32 Solve -815 + 1541 + 4328 + 1758 = -131*v for v. -52 Solve 113490*x - 113554*x - 69 + 5 = 0 for x. -1 Solve 6323 + 6181 = -38*w - 413*w - 70*w for w. -24 Solve 273*j - 427*j + 2337 = -195*j for j. -57 Solve 156*c - 258*c + 152*c - 475 = -45*c for c. 5 Solve 2873 = -131*g - 1188 for g. -31 Solve 0 = 5972*u - 5924*u - 240 for u. 5 Solve 47*z = -305*z - 9075 - 32461 for z. -118 Solve 31266 = -585*l - 29011 + 4117 for l. -96 Solve 2216552*x + 1175 = 2216599*x for x. 25 Solve -4110*k + 10598 + 137362 = 0 for k. 36 Solve 3233 = -426*z - 6501 - 2657 - 2519 for z. -35 Solve 253*l = -824 - 583 + 395 for l. -4 Solve 167*u - 369*u - 877*u - 52871 = 0 for u. -49 Solve 85*x + 715*x + 5334 + 5866 = 0 for x. -14 Solve 98*a + 1025 - 573 + 1410 = 0 for a. -19 Solve 0 = 2785*r + 1889*r + 6547*r - 60354 + 722393 for r. -59 Solve -7929*x + 286499 = -387466 for x. 85 Solve 36229 + 30796 = -1024*c + 8530 - 897 for c. -58 Solve 0 = -834*u + 407*u + 541*u for u. 0 Solve -11509 = -9021*q + 9708*q + 8542 + 1933 for q. -32 Solve 14*h = 225*h + 272 + 150 for h. -2 Solve -6439*x + 377600 - 15993 - 82970 = -159215 for x. 68 Solve -130046 = -194*l - 139940 for l. -51 Solve -577*u - 3178 = -512*u + 267 for u. -53 Solve -28406 + 16961 = -1393*p + 76274 + 71083 for p. 114 Solve -1146*x - 1447*x = -855*x - 52140 for x. 30 Solve 2383*o - 731*o + 2186*o - 56380 = 74112 for o. 34 Solve 355*v + 4435 - 15155 = -315*v for v. 16 Solve 89*a - 82*a - 5244 = 67*a + 54*a for a. -46 Solve -563*w - 6894 = 1267*w - 467*w + 9462 for w. -12 Solve -1023*g - 3034*g + 57750 = -29*g + 17470 for g. 10 Solve -175*r + 4912764 = 4915739 for r. -17 Solve -64 = 219*k - 237*k - 351 - 469 for k. -42 Solve 65*q + 625 = -1108 - 108 - 1539 for q. -52 Solve 124*r + 48*r + 1670 = 5*r for r. -10 Solve 0 = 7*j + 51660 - 51856 for j. 28 Solve 456*m - 14175 = -495 for m. 30 Solve -737*a + 5130 = -547*a for a. 27 Solve 64*w + 100*w = 68*w - 3151 - 2321 for w. -57 Solve 1163*c + 44660 = 351*c for c. -55 Solve -1230*w + 1232*w + 1 + 61 = 0 for w. -31 Solve -153*p - 865*p + 47327 = 1517 for p. 45 Solve 390*g + 7607 = -319*g - 48230 - 5137 for g. -86 Solve -132*t - 81998 = -77510 for t. -34 Solve 66*a - 263*a + 2361*a - 227220 = 0 for a. 105 Solve 6715*m = -6726*m + 20142*m - 6723*m - 154 for m. -7 Solve -227521 = 4036*n - 29757 for n. -49 Solve -264*u + 26312 = 353*u - 45*u for u. 46 Solve -366*m = 165*m + 917*m + 31856 for m. -22 Solve -3775557*y + 3775470*y = -11484 for y. 132 Solve -1806*r = -94281 - 6855 for r. 56 Solve 13*j + 93*j + 6897 = -37*j + 22*j for j. -57 Solve 0 = -26*z - 26735319 + 26734721 for z. -23 Solve -315*t + 336*t = 988*t - 47383 for t. 49 Solve -148*u - 405 = 139*u + 132*u - 428*u for u. 45 Solve 0 = 95*c + 39*c - 8017 + 245 for c. 58 Solve 537*y = 3010*y + 250716 + 23787 for y. -111 Solve -13582*w - 105825 - 399003 = -1010*w - 77380 for w. -34 Solve -28*r - 21*r - 13*r + 7191 - 743 = 0 for r. 104 Solve -7453 = 667*n - 19331 - 16136 for n. 42 Solve 45*d + 258066 = -2734*d - 3024*d + 1429*d for d. -59 Solve 256*h = 409*h + 384*h + 19869 for h. -37 Solve -78*g - 1685 - 1475 = -138*g + 139*g for g. -40 Solve 1438*g - 313131 = -58*g - 1945*g for g. 91 Solve 0 = -1137506*l + 1137491*l + 720 for l. 48 Solve 6229*l - 518259 = -2261*l + 235794 + 52497 for l. 95 Solve 0 = 439*z + 7382 + 3941 + 3999 + 12335 for z. -63 Solve 20253*u = 20186*u - 3121 - 1770 for u. -73 Solve 507581*o - 507655*o = -5180 for o. 70 Solve 34*t + 15*t - 8*t + 28*t = -33*t for t. 0 Solve 232*n - 1058 = 2943 - 57 for n. 17 Solve 690*t + 1476 = 783*t + 2392 + 6803 for t. -83 Solve -48*n + 4447 + 7032 - 3863 = 64*n for n. 68 Solve -17019*n + 98505 - 93031 = -82610 - 201239 for n. 17 Solve 1363494*w - 1363509*w + 705 = 0 for w. 47 Solve 9103 = -181*d + 2768 for d. -35 Solve -10686 - 7225 - 9221 = -969*x for x. 28 Solve 2769*q + 3035*q + 55045 + 659765 = -4886 for q. -124 Solve 945 = -757*n + 38795 for n. 50 Solve -1064*x = -508*x - 528*x - 504 for x. 18 Solve -29922*g + 59824*g - 29936*g = 2890 for g. -85 Solve -16659 + 15438 = 386*f - 8086 - 44859 for f. 134 Solve -392*v - 7010 + 14850 = 0 for v. 20 Solve -28602*b + 7800 = -28527*b for b. 104 Solve 401*r - 5113 - 669 = 17290 - 215 for r. 57 Solve 59*u - 81*u = 52*u + 98*u - 7224 for u. 42 Solve 989*g - 291300 = 805*g + 3097*g for g. -100 Solve 488*r + 1019 = 1445*r - 2809 for r. 4 Solve 101*d - 15561 = 32*d - 64*d for d. 117 Solve -22*j - 257 = 489 + 682 - 1010 for j. -19 Solve -286*m - 336*m = 144*m - 165*m + 7813 for m. -13 Solve 10*i - 1449 = 16*i - 48*i - 27*i for i. 21 Solve -1414*t - 1372 - 9860 - 6810 - 41346 = 0 for t. -42 Solve 89*p + 42*p = 10*p + 3*p + 2832 for p. 24 Solve -100589 - 33519 = 2579*a for a. -52 Solve -408*y + 32051 = 74075 for y. -103 Solve 837 = 1308*j - 34479 for j. 27 Solve 227*q = -150*q - 4755 + 22474 for q. 47 Solve -7815 - 3399 = 896*f + 2589 + 17557 for f. -35 Solve 1337*k + 11825 - 107328 = 40871 for k. 102 Solve 0 = 57*v + 4549 - 3124 for v. -25 Solve 209*d - 27472 = -9080 for d. 88 Solve -16*x - 1700 = 94*x + 60*x for x. -10 Solve 0 = 484*r - 6777 - 3387 for r. 21 Solve 28956 = -357*k - 405*k for k. -38 Solve -8464*s - 1058*s = -1906*s - 213248 for s. 28 Solve -6812 = 24*x + 90*x - 998 for x. -51 Solve -29*u + 118 + 64 = -2*u - 142 for u. 12 Solve 1528*g - 21050 = 47710 for g. 45 Solve 234*y - 1413 = -607 + 1051 + 249 for y. 9 Solve -388*q + 14128 + 7373 = -35*q + 4557 for q. 48 Solve -4495 = 15414*z - 15538*z + 8401 for z. 104 Solve 20163 = -878*j + 7871 for j. -14 Solve 8911 = -52*m + 9431 for m. 10 Solve 2305 = -185*k + 2490 for k. 1 Solve -572*b - 434*b + 48343 = 26670 - 42711 for b. 64 Solve 19199 - 19839 = -20*h for h. 32 Solve 46603 = -1202*f - 15901 for f. -52 Solve -79*b - 421 - 2379 = -254*b for b. 16 Solve 7*n - 306 - 330 = -91*n - 146 for n. 5 Solve 30584 - 13935 = -2012*s - 39687 for s. -28 Solve -251560*z + 251132*z = -32528 for z. 76 Solve -1401*b - 1447 = -2 - 2730 - 4319 for b. 4 Solve -11581 = 11244*k - 10930*k - 3417 for k. -26 Solve 0 = -686*b + 39*b - 20596 + 8303 for b. -19 Solve -4382*a = -1312*a + 3070 for a. -1 Solve 18 = 6*o + 86 - 11 + 75 for o. -22 Solve 2216882 - 2221250 = 42*m for m. -104 Solve 58230 = -1877*f - 64*f for f. -30 Solve 395 + 36 = 49*j - 393 - 1185 for j. 41 Solve -723370*i = -723419*i - 1078 for i. -22 Solve -56*c - 38*c = -534 - 1346 for c. 20 Solve -1505*g - 99798 = -25497 + 11534 + 39080 for g. -83 Solve -497*i - 374*i - 12540 = -739*i for i. -95 Solve 154*n + 1698*n - 24344 + 4239 = 16935 for n. 20 Solve 142637 = 264*s - 2791*s - 54469 for s. -78 Solve 65*j + 13425 = -529*j + 57*j for j. -25 Solve 780*d + 673*d - 21441 - 64431 = -336*d for d. 48 Solve -231*w + 3918 - 9508 = 9425 for w. -65 Solve -77547 + 8646 = 1572*o + 65658 - 8799 for o. -80 Solve -139*d - 163975 + 157720 = 0 for d. -45 Solve 96848*y - 2907 = 96905*y for y. -51 Solve -488 - 3489 = 97*u for u. -41 Solve -376*i - 239*i = -1829*i - 84980 for i. -70 Solve -41*d - 155*d = 28*d - 18*d - 8652 for d. 42 Solve 1586 + 1009 + 69 - 688 = -38*y for y. -52 Solve -498 - 6180 - 4890 = -994*w + 11294 for w. 23 Solve -3160070 = 86*v - 3151728 for v. -97 Solve -758*q + 1017 = -968 - 161 + 630 for q. 2 Solve 190*h - 2868 = -210*h - 78*h for h. 6 Solve 3286*g + 50896 = -63537 - 64440 + 17859 for g. -49 Solve 5078*a + 168 = 5246*a for a. 1 Solve -322*x + 219*x = -117*x + 234 + 522 for x. 54 Solve -3387*b + 78578 = -60289 for b. 41 Solve 205539 = -249*l + 216495 for l. 44 Solve 215*t - 2500 = -7015 for t. -21 Solve 323*g - 670*g = -332*g - 15 for g. 1 Solve 4795 - 26453 = -450*u + 9392 for u. 69 Solve -1584*j + 3712*j = 1841*j - 10332 for j. -36 Solve 0 = -1408*u - 14431 + 351 for u. -10 Solve 1567*g + 463*g + 133672 + 2338 = 0 for g. -67 Solve -603 - 229 = -84*d + 1097 + 171 for d. 25 Solve 0 = -8391*p + 367428 + 807312 for p. 140 Solve -732*n - 829*n + 59338 = -23605 - 10717 for n. 60 Solve -309*d + 328*d = -863*d - 16758 for d. -19 Solve -46068*w = -46031*w - 1258 for w. 34 Solve 848*f + 53968 - 18463 = 59*f for f. -45 Solve -74*w + 34529 = -249*w + 24904 for w. -55 Solve -196*r - 84 = 626 + 3014 for r. -19 Solve -520
{ "pile_set_name": "DM Mathematics" }
6779*u**2 - 64*u - 45*u - 3388*u**2 - 3390*u**2. (u - 107)*(u - 2) Let g(r) = -405*r + 73308. Let f be g(181). Determine t, given that -9/4*t**5 - 12*t**4 + 9/2*t**2 + 6 + 21*t - 69/4*t**f = 0. -2, -1/3, 1 Suppose -m + 24 = 4*n, -10 + 22 = 4*n - 2*m. Factor -7/6*h**n + 0*h - 5*h**4 - 6*h**3 + 0 - 4/3*h**2. -h**2*(h + 2)**2*(7*h + 2)/6 Let j(o) be the second derivative of o**6/15 - 11*o**5/2 - 28*o**4/3 - 642*o. Determine a, given that j(a) = 0. -1, 0, 56 Suppose 2*g + 3*g = -5*y + 350, y - g - 66 = 0. Factor 4*w**4 - 8*w**4 + y*w - 156*w**2 + 112*w + 44*w**3. -4*w*(w - 5)*(w - 3)**2 Let g(f) be the first derivative of -f**6/6 - 9*f**5/5 + 35*f**4/4 - 5*f**3 - 17*f**2 + 24*f - 2173. What is q in g(q) = 0? -12, -1, 1, 2 Let x(u) be the third derivative of -3*u + 0*u**3 + 0 - 1/24*u**4 - 1/45*u**5 + 11*u**2 - 1/360*u**6. Determine y so that x(y) = 0. -3, -1, 0 Let w(d) be the first derivative of d**6/30 - 2*d**5/15 - 21*d**2/2 + 2*d + 71. Let b(t) be the second derivative of w(t). Determine i so that b(i) = 0. 0, 2 Let v(g) be the second derivative of g**6/105 - 27*g**5/35 - 233*g**4/42 + 18*g**3/7 + 232*g**2/7 + 5880*g - 1. Let v(j) = 0. What is j? -4, -1, 1, 58 Let u(c) be the first derivative of c**4/8 - 277*c**3/6 + 551*c**2/4 - 275*c/2 - 10577. Factor u(k). (k - 275)*(k - 1)**2/2 Let o be 286/(-6) + 5/(-30)*-4. Let c = -45 - o. Determine d, given that -c*d**2 + d**2 + 3*d - d**2 - 4*d**3 + d**5 + 2 = 0. -1, 1, 2 Let z(k) be the second derivative of k**4/24 - 2*k**3 + 35*k**2 + 1106*k. Factor z(q). (q - 14)*(q - 10)/2 Let l(u) be the second derivative of -u**7/630 - 47*u**2 + 51*u. Let p(w) be the first derivative of l(w). Factor p(k). -k**4/3 Factor 5*p**3 - 6495 - 565*p**2 + 4878 - 14063 + 2942*p + 13298*p. 5*(p - 56)**2*(p - 1) Factor -j**2 - 2724*j - 408804 + 218537 - 428081 - 2*j**2. -3*(j + 454)**2 Let m(t) = -25*t**2 - 435*t + 5810. Let y(u) = 17*u**2 + 290*u - 3872. Let x(a) = -7*m(a) - 10*y(a). Factor x(r). 5*(r - 10)*(r + 39) Suppose 3 - 5 = -2*z, 4*z + 92 = 4*a. Suppose 4*r + 13 = -5*j, -4*r + r + 3*j + a = 0. Factor -2*d**3 - 63*d**2 - d**r + 3645 + 198*d**2 - 2*d**3 - 1215*d. -5*(d - 9)**3 Let r(z) = z**3 - 10*z**2 + 4*z + 54. Let d be r(9). Suppose -2*i**3 - 18 + 16 + 2*i**2 + 11*i - d*i = 0. What is i? -1, 1 Let c be (1620/(-360))/(-1*(21/(-6) + 5)). Solve -32*y - 48 - 4/3*y**c + 44/3*y**2 = 0 for y. -1, 6 Let q(a) be the first derivative of -2*a**3/27 - 52*a**2/9 - 70*a + 4613. Factor q(i). -2*(i + 7)*(i + 45)/9 Let c(y) = y + 2. Let b(g) = -5*g - 14. Let p be b(-3). Let m be c(p). Factor -13*q**m + 3*q**4 - 4*q**4 + 8*q**2 + 10*q**3 - 4*q**2. -q**2*(q - 1)*(q + 4) Factor -409*x**2 + 430 - 440*x - 1326*x**2 - 206*x - 20*x**3 - 639*x. -5*(x + 1)*(x + 86)*(4*x - 1) Let r(u) be the second derivative of u**4/24 - 377*u**3/4 + 565*u**2/2 - 290*u + 5. Let r(w) = 0. Calculate w. 1, 1130 Let i(c) = -16*c**3 - 10*c**2 + 12*c. Let o(u) be the third derivative of u**6/20 + u**5/20 - u**4/6 - 3*u**2 + 3. Let n(j) = 5*i(j) + 14*o(j). Factor n(s). 4*s*(s - 1)**2 Determine o so that 16/3*o**3 + 1/6*o**5 + 3*o**4 - 11/2*o - 1/3*o**2 - 8/3 = 0. -16, -1, 1 Suppose 4*o - 2*o - 144 = -4*p, 168 = 2*o - 4*p. Find x such that -50*x**4 + 260*x**2 - 222*x**3 - 2*x**5 + o*x**2 - 64*x**3 = 0. -13, 0, 1 Let q(l) be the first derivative of -l**5/20 + l**4/2 - 2*l**3 + 4*l**2 + 52*l - 38. Let r(z) be the first derivative of q(z). Factor r(m). -(m - 2)**3 Let s(p) be the second derivative of -121*p**5/40 - 341*p**4/12 + 65*p**3/3 - 6*p**2 - 433*p. Factor s(h). -(h + 6)*(11*h - 2)**2/2 Let c(q) be the second derivative of -9*q**5/40 - 13*q**4/2 - 16*q**3 + 56*q - 4. Factor c(x). -3*x*(x + 16)*(3*x + 4)/2 Let p(v) be the second derivative of -v**4/16 - 73*v**3/8 - 207*v**2/2 + 1065*v. Factor p(c). -3*(c + 4)*(c + 69)/4 Let r be (-14)/14 + (-3 - -8) - 0. Let 3*t**4 - 21*t**3 + 60 + 4*t - 62 - 29*t**2 - 12*t - 7*t - 8*t**r = 0. Calculate t. -2, -1, -1/5 Factor -1/8*p**2 + 61/2*p - 723/8. -(p - 241)*(p - 3)/8 Let p = -416 - -335. Let x be -2*(2 - p/(-48))*-4. Let x + 5/4*h**2 - 15/4*h = 0. Calculate h. 1, 2 Let i(m) = m**2 - 19*m + 6. Let j be i(21). Suppose 5*x = -5*r, -x - j*r + 43*r = 0. Factor -2*p + x - p**3 + 51/7*p**2. -p*(p - 7)*(7*p - 2)/7 Let i(g) be the second derivative of 2*g**6/15 + 8*g**5/5 + 4*g**4 + 363*g + 1. Determine t so that i(t) = 0. -6, -2, 0 Let l(u) be the first derivative of -4*u**5/15 - 2*u**4/3 + 28*u**3/9 + 40*u**2/3 + 16*u + 1115. Determine q, given that l(q) = 0. -2, -1, 3 Let i(c) be the first derivative of -c**7/14 - c**6/10 + 3*c**5/5 + c**4 - 58*c + 56. Let t(o) be the first derivative of i(o). Let t(u) = 0. Calculate u. -2, -1, 0, 2 Suppose -10*n = 5*n - 540. Let o(x) be the first derivative of 4 + n*x + 12*x**2 + 4/3*x**3. What is r in o(r) = 0? -3 Suppose 36*j = -61 + 372 - 131. Let v(r) be the first derivative of -6*r**2 + 12/5*r**j - 22/3*r**3 - 7 + 1/2*r**4 + 0*r. Let v(p) = 0. Calculate p. -1, -2/3, 0, 3/2 Let m(j) be the second derivative of -2*j**7/21 - 46*j**6/15 - 38*j**5/5 + 86*j**4/3 + 26*j**3 - 126*j**2 + 3013*j. Determine s so that m(s) = 0. -21, -3, -1, 1 Suppose 0 = -8*j + 11*j - 99. Suppose -28*b = -j*b + 20. Solve -8/9 + 4/9*v**3 - 8/9*v - 2/9*v**b + 2/3*v**2 = 0. -1, 2 Let t(w) be the first derivative of -w**5/20 + 3*w**4/16 + 11*w**3/4 + 53*w**2/8 + 6*w - 1326. Suppose t(h) = 0. Calculate h. -3, -1, 8 What is j in 2/15*j**3 + 208/5*j**2 + 16224/5*j + 0 = 0? -156, 0 Let u(l) be the first derivative of -25*l**6/14 - 678*l**5/35 + 57*l**4/2 + 236*l**3/7 - 723*l**2/14 - 30*l/7 + 1940. Let u(r) = 0. Calculate r. -10, -1, -1/25, 1 Let v(f) be the third derivative of 0*f + 19/4*f**4 + 75*f**2 - 12*f**3 + 0 - 3/20*f**5. Find q, given that v(q) = 0. 2/3, 12 Let x(l) be the first derivative of 5*l**4/4 - 402*l**3 - 2418*l**2/5 - 968*l/5 + 1718. Factor x(t). (t - 242)*(5*t + 2)**2/5 Determine k, given that 12*k**5 + 67*k**4 - 132*k - 48 - 37*k**2 + 227*k**2 - 43*k**4 - 15*k**3 + 50*k**2 - 81*k**4 = 0. -2, -1/4, 1, 2, 4 Let d = 289333/169 - 1712. Let k = 5612/1183 - d. Determine j so that 0 - k*j + 3/7*j**2 = 0. 0, 11 Let p be (420/(-88))/21*(-12)/5. Suppose 3 = -2*w + 9. What is a in p*a**2 + 0 + 4/11*a + 2/11*a**w = 0? -2, -1, 0 Let v(y) = -22220*y - 22220. Let r be v(-1). Factor -1/4*b**2 + r - 3/4*b. -b*(b + 3)/4 Let n be -20 - (-2)/((-30)/(-25))*3. Let l be (-8)/(-2)*n*18/(-4860). What is s in 0 - l*s**3 + 0*s**2 + 2/9*s = 0? -1, 0, 1 Let v = 3628088/544215 + 4/181405. Find o such that -2/3*o**2 - 16/3 + 2/3*o**3 - v*o = 0. -2, -1, 4 Suppose 395 = 4*g + 5*i, 5*i = -4*g + 3*i + 410. Suppose 0 = g*y - 79*y. Factor 0 + y*n + 4/7*n**5 + 8/7*n**4 + 4/7*n**3 + 0*n**2. 4*n**3*(n + 1)**2/7 Let f(x) = 64*x + 961. Let m(o) = -6*o**2 - 3*o + 10. Let q(v) = 5*v**2 + 2*v - 8. Let a(b) = 4*m(b) + 5*q(b). Let g(w) = a(w) + f(w). Factor g(h). (h + 31)**2 Let f(b) = 3*b**2 - 304*b - 304. Let h be f(-1). Let o(x) be the second derivative of 8/5*x**h + 25*x + 0 + 9/50*x**5 - 29/30*x**4 - 4/5*x**2. Factor o(t). 2*(t - 2)*(t - 1)*(9*t - 2)/5 Let d(z) be the third derivative of z**5/240 + 13*z**4/96 - 35*z**3/2 + 439*z**2 + 2*z. Factor d(a). (a - 15)*(a + 28)/4 Suppose -4*b + 5*v + 63 = 0, 2*b - 14 = 3*v + 19. Suppose 257*o + b = 260*o. Suppose -52/9*q**3 + 20/9*q**o - 8/9 + 4*q**2 + 4/9*q = 0. Calculate q. -2/5, 1 Suppose 34*c = -32*c + 2574. Let u be ((-3)/(-10))/(c/52). Factor 0 + 4/5*x + 2/5*x**2 - u*x**3. -2*x*(x - 2)*(x + 1)/5 Let m(x) be the second derivative of 1/75*x**6 + 4/5*x**2 + 2/15*x**3 - 1 + 15*x - 1/6*x**4 - 1/20*x**5 + 1/210*x**7. Solve m(w) = 0. -2, -1, 1, 2 Let x(l) be the first derivative of 5*l**6/4 - 110*l**5 + 18605*l**4/8 + 29450*l**3/3 - 5415*l**2 - 1271. What is y in x(y) = 0? -3, 0, 1/3, 38 Let g(h) be the second derivative of -5/3*h**4 + 0 + 92/3*h**3 - 198*h - 1058/5*h**2. Factor g(p). -4*(5*p - 23)**2/5 Let n be (-36140)/9730 - (2 - 6/1). What is v in 12/7*v**3 - 40/7*v + n*v**2 + 26/7 = 0? -13/6, 1 Let l(y) = 39*y**3 - 38*y**2 - 61*y + 13. Let r(o) = -40*o**3 + 36*o**2 + 60*o - 12. Let c = 48 - 52. Let g(h) = c*l(h) - 3*r(h). Solve g(d) = 0. -1, 2/9, 2 Let m = 60573/5 - 12113. Suppose n = -4*a - n + 10, 2*n = -2*a. Solve -m*j**2 - 22/5*j**3 + 8/5*j + 18/5*j**a + 12/5*j**4 + 0 = 0 for j. -1, 0, 2/3
{ "pile_set_name": "DM Mathematics" }
prime factors of h. 349 Let w be (3/(-9))/(((-16)/10380)/4). Suppose -39*h = -44*h + w. List the prime factors of h. 173 Suppose 1 = -2*p + 7. Let i(s) = -7*s**2 + 27*s**3 + 4*s**2 + s - 1 + p*s**2. What are the prime factors of i(1)? 3 Let t = 1379 + -649. What are the prime factors of t? 2, 5, 73 Let i = 3 + 4. What are the prime factors of (6/4)/(i/658)? 3, 47 Let g = 916 + -246. What are the prime factors of g? 2, 5, 67 Let h = -8 + 11. Suppose -4*y + 4*w + 28 = 0, 4*y + 4*w - h*w = 18. Suppose s + 5*o - 1 = y, -4*s + 41 = 3*o. What are the prime factors of s? 11 Let x(o) = o**2 + 9*o + 11. Let b be x(-8). What are the prime factors of ((-53)/b)/((-1)/3)? 53 Suppose -9*i = -7*i + 20. Let y be 28*1 + (-40)/i. List the prime factors of 471/12 + (-8)/y. 3, 13 Let z = 1381 + -811. What are the prime factors of (4/(-5))/(-5 - (-2844)/z)? 2, 19 Let l be 2/8 - (-38)/8. Suppose 3*x + 3*u - 2 = 1, x - 3*u = l. Suppose x*j - 12 = 10. What are the prime factors of j? 11 Suppose -15*n + 1505 = -10*n. List the prime factors of n. 7, 43 Let b be (76/(-133))/(0 - 2/14). Suppose 0*l - b*m = l - 41, 2*l + 4*m = 86. What are the prime factors of l? 3, 5 Let f(b) be the second derivative of 1/2*b**2 - 1/6*b**3 + 0 + 8*b + 1/6*b**4. List the prime factors of f(-2). 11 Let d(h) = -2*h - 4. Let i be d(-6). Suppose -i*v + 4*v = -92. What are the prime factors of v? 23 Let s be (12/4 - -3) + 0. Let d be 4/s - 7/(-3). Suppose 3*o + i + 0*i = 34, 4*o - d*i - 28 = 0. List the prime factors of o. 2, 5 What are the prime factors of (-23 - 271)*47/(-6)? 7, 47 Suppose -919 = -4*w + 1645. List the prime factors of w. 641 Let w = 14 - 10. Let n = w + -2. Suppose 5*k - 73 = n. What are the prime factors of k? 3, 5 Suppose 4*j - 6448 - 1406 = 2*m, -5*j + 9837 = 4*m. What are the prime factors of j? 3, 5, 131 Let y = -2204 + 4177. What are the prime factors of y? 1973 Suppose 5*v - 32 = 3. Suppose x - v = -0*x. What are the prime factors of x? 7 Let x = -1545 + 2818. List the prime factors of x. 19, 67 Let f(t) = t**3 + 4*t**2 + 18*t + 7. Let j be f(-6). List the prime factors of 3*j/(-2) + (-8)/(-16). 2, 5, 13 Let p(z) = z - 1. Let r be p(6). Suppose -50 = -r*m + 135. Let n = m - 23. What are the prime factors of n? 2, 7 Let v = 337 + -5. Let f = v + -234. What are the prime factors of f? 2, 7 List the prime factors of (-10)/((8/1100)/((-4)/20)). 5, 11 Let d(z) = -z**2 - 13*z - 11. Let a = 10 - 26. Let h be 20*(a/(-10) - 2). List the prime factors of d(h). 29 Let u(v) = -v**3 + 6*v**2 + 7*v + 4. Let f be u(7). Suppose f*m = 7 + 1. Suppose 6 = -2*g, q - 192 = -m*q + 5*g. List the prime factors of q. 59 Let x(r) = -179*r**3 - 5*r**2 - 4*r - 5. What are the prime factors of x(-2)? 5, 283 Let f(s) = s**3 + s - 6. Let h = 66 + -61. What are the prime factors of f(h)? 2, 31 Let r = 11 - -21. Suppose -k + 3*s + r = -2*s, -3*k + 156 = -3*s. What are the prime factors of k? 3, 19 Let g(i) = -i**3 + 8*i**2 - 11*i - 6. Let d be g(6). Suppose j = 5 - d. Suppose -260 = -j*u - 0*u. What are the prime factors of u? 2, 13 Let p = 13 - 17. Let h(j) = j**3 + 4*j**2 - 2*j - 2. List the prime factors of h(p). 2, 3 Suppose -29 = -4*x + r + 67, 4*r - 16 = 0. Suppose 2 = 3*o - x. Suppose -7*w - 54 = -o*w. List the prime factors of w. 3 Let t = -2 + 2. Suppose 0 = 3*v + 4*g - 390, -v - 3*g + 0 + 130 = t. List the prime factors of 3/4 - v/(-8). 17 What are the prime factors of 42 - (-11 + 12) - (0 - 1)? 2, 3, 7 Let p = 5165 - 3564. List the prime factors of p. 1601 Let d be -4*((252/(-8))/9)/(-1). List the prime factors of 1/((d/(-1162))/(0 - -1)). 83 Suppose 13*d = 9*d - b - 12, 8 = -d + b. What are the prime factors of ((-13)/d)/((-6)/(-312)) + 3? 2, 43 Suppose 85*k - 95*k = -1080. What are the prime factors of k? 2, 3 Let y(c) = 4 - 3*c**2 + 0*c**2 + c**2 + 32*c**3 - 3. Let t be y(-1). Let u = -12 - t. What are the prime factors of u? 3, 7 Suppose -7*k = -8*k - 3. Let w be 308/33 + (-2)/k. Suppose 3*l = 4*l - w. List the prime factors of l. 2, 5 List the prime factors of 24/15*(-20610)/(-36). 2, 229 Let s = -12 - -32. Suppose 5*z = z + s. List the prime factors of 10/z*42/4. 3, 7 Suppose 0 = -5*g - 3*t - 5, -3*g + t = 4 - 1. What are the prime factors of (-4*1/(-6))/(g/(-246))? 2, 41 Let x = 31 - 26. What are the prime factors of 252/(-15)*-2*x? 2, 3, 7 Suppose -5*x = -9*x + 16. Suppose -12 = -x*a - 0*a. Suppose b + 2*n = 21, 0*b - a*b = 5*n - 64. List the prime factors of b. 23 Suppose -23*c = -0*c - 3381. List the prime factors of c. 3, 7 Suppose -5*d - 11 = 4, 2*v = d + 7. Suppose 0 = 2*u - 16 + v. What are the prime factors of u/2*(15 + -9)? 3, 7 Let s = 241 + 3062. List the prime factors of s. 3, 367 Let n(a) = a - 6. Suppose 24 = 4*y - j, 4*y + j + 17 = 41. Let d be n(y). Let c(l) = -l**3 - l + 44. What are the prime factors of c(d)? 2, 11 Let q(b) = -b**2 + 5*b + 6. Let o be q(7). Let m(f) = 2*f**2 + 12*f + 20. What are the prime factors of m(o)? 2, 13 Suppose 0 = -2*d - s - 27, 3*s - 39 + 0 = 2*d. Suppose -4*z + 0*z + 56 = -4*m, -4*m - 5*z - 47 = 0. Let u = m - d. List the prime factors of u. 2 Suppose -2*w - 5*v = -48, -2*w + 3*v - 23 + 55 = 0. Suppose 2*c = 3*c - w. Suppose -16 = -r + c. What are the prime factors of r? 5, 7 Suppose -81*p - 1168 = -85*p. List the prime factors of p. 2, 73 Let v(o) = 5*o**2 - 37*o + 193. List the prime factors of v(24). 5, 19, 23 Let c(u) be the second derivative of -u**5/5 + 3*u**2 - 8*u. List the prime factors of c(-3). 2, 3, 19 Let y be -2*2/4 - -4. Suppose 5*m - y*n - 594 = 0, -2*m + 0*n = 3*n - 246. What are the prime factors of m? 2, 3, 5 Suppose -v + 2 = -0*v. Let z be 55 + (-2 + v)/(-4). Suppose 0 = 2*r - z + 11. What are the prime factors of r? 2, 11 Suppose -27*f + 308 = -43972. What are the prime factors of f? 2, 5, 41 Suppose 0 = -2*x - 3*p - 9, -17 = -x + 2*x + 4*p. Let a(r) = -13 + x - 8*r + 0*r. List the prime factors of a(-7). 2, 23 Let v be (15/(-10))/((-6)/8). Let y = v - -12. Let q = 45 - y. What are the prime factors of q? 31 Let z be (-2)/(-6) + (-117)/27. Let b(g) = -g**3 - 6*g**2 - 4*g - 4. Let j be b(-6). List the prime factors of 1*j - (3 + z). 3, 7 Suppose -4*x = -4*s, -s - 4*s + 4*x - 1 = 0. List the prime factors of s/6 + 637/42. 3, 5 Let p be ((-6)/(-9))/((-16)/936). Let j = -39 + 14. Let o = j - p. What are the prime factors of o? 2, 7 Suppose -204 = -3*n - 2*z + z, 0 = z - 3. Suppose 2*v - r = n, 0 = 3*r + 2*r - 15. List the prime factors of v. 5, 7 Let t(y) = -y**3 + 6*y**2 + 6*y + 2. Let d be t(7). Let h = d + 21. Suppose 4*s - h = -0*s. What are the prime factors of s? 2 Let l be 131/11 + (-4)/(-44). Suppose -14*b + 222 = v - l*b, -416 = -2*v + 3*b. List the prime factors of v. 2, 107 Suppose -3*b - b + 5*u + 92 = 0, 5*u = -b + 23. Let q = 28 - b. List the prime factors of q. 5 Suppose 0*p + p - 2*g - 1 = 0, 0 = -p - 3*g + 6. Suppose -5*d + z = -3*z - 1016, -p*z - 1012 = -5*d. Suppose 4*u - d = -u. What are the prime factors of u? 2, 5 Let t = -152 + 299. Let c = 64 - t. Let q = -50 - c. List the prime factors of q. 3, 11 Let m(t) = 5*t**2 + 21*t - 100. List the prime factors of m(-22). 2, 929 Suppose 5*z + 10 = -0. Let f be 2*(0 + 5/z). Let v(l) = -l + 3. List the prime factors of v(f). 2 What are the prime factors of 601 - (2 + (-12)/4)? 2, 7, 43 Let m(n) = -n**2 + 9*n - 11. Suppose -3*g = -6 - 15. Let u be m(g). Suppose -2*c - u*c = -235. List the prime factors of c. 47 Let r(u) = 3*u - 13. Let w be r(5). Suppose -38 + w = -4*i. List the prime factors of i. 3 Let o = 291 + -47. Let f be -3*o/(-12) - 2. Let i = f + -4. List the prime factors of i. 5, 11 Suppose -797 = -9*a + 841. List the prime factors of a. 2, 7, 13 Let j(t) = -12*t + 84. List the prime factors of j(-32). 2, 3, 13 Let z be (0 - 1)*(-6 + 1). Suppose 0 = z*p + 5*o - 45, 24 = 3*p - o - 11. List the prime factors of p. 11 Suppose 2*s = -2*s, -3*s = 2*h + 72. What are the prime factors of 6*58*(-6)/h? 2, 29 Let c(m) = m + 7. Let y = -3 - -11. Let i be c(y). Let o = i + 14. List the prime factors of o. 29 Let j be ((-6)/9)/(8/(-1812)). Suppose 5*c + 4*h = j, -2*c + 61 = -0*h + h. List the prime factors of c. 31 Let m be (9/(-2) + -1)/(1/4). Let l = 120 + m. What are the prime factors of l? 2, 7 Suppose -4*g + 9*g = 2*c + 12, -c - 5*g + 24 = 0. Suppos
{ "pile_set_name": "DM Mathematics" }
Simplify (b/b**4*b*b**(-3)/b*b*(b/b**1*b)**32)/(((b**2/b)/b*b)**45)**(1/24) assuming b is positive. b**(201/8) Simplify ((a**(-26/7)/(a/(a/a**(2/21)*a)))/(a**(-1/27))**(-2/29))**(4/27) assuming a is positive. a**(-61652/147987) Simplify ((t/(t*t*t**(-2)*t*t))**(-39))**(-2/49)*((t*t*t**0/t)/t**0)**(3/47) assuming t is positive. t**(-3519/2303) Simplify ((d*d*d**1)**29/(d*((d*d/d**0)/d)/d)**27)/(((d*(d/(d/(d*d**(1/2))))/d)/d*d)/((d*d*d**(1/5)*d*d)/d)*d**(-2/3)*d*d**(-2)/d) assuming d is positive. d**(1931/30) Simplify ((i/(i**(-1/2)/i))**(7/8))**21/((i**0)**(-38)/(((i/i**(-2/5))/i)/i*i)**14) assuming i is positive. i**(4123/80) Simplify (a/a**6*a*a*a/((a*a**24/a*a*a)/a)*(a/a**6)**(3/17))**(-29) assuming a is positive. a**(13746/17) Simplify n**(3/4)*n**(-9)/n*(n**(-2))**(3/10)*(n/(n/(n**(-1/2)*n*n)))**(-3)*n**(-2/21)/n*n**(-1/5) assuming n is positive. n**(-6571/420) Simplify ((((w**(-1)*w)/(w**(-3/4)*w))**(-1/4))**(-20))**(-25) assuming w is positive. w**(125/4) Simplify d*d*d**2/d*d**(-1/4)*d*d/((d/(d/d**(-1)))/d)*d*(d/d**(-1/8))/d*((d*d**0)**8)**(-2/15) assuming d is positive. d**(817/120) Simplify ((l*l**(1/4)*l*l)**(-2/17)/((l**1/l)/l)**(11/8))/((((l*l**5)/l*l)/l)/(l/l**(-1)))**(-39) assuming l is positive. l**(16047/136) Simplify f*f**24*f*f*f*f*f**(-26)*f*(f/((f*f*f/f**(28/9)*f)/f))**(2/9) assuming f is positive. f**(344/81) Simplify (n**(-6)*n/n**(-4))**(1/41)/((n/((n**1*n)/n*n))**(2/121)/((n*n**(2/5))/(n/(n/n**3)))) assuming n is positive. n**(-39883/24805) Simplify ((d**1*d)**(-10/7))**(-1/5)/((d*d**(2/5))/d*d*d**(3/8))**(3/29) assuming d is positive. d**(3149/8120) Simplify ((b**1)**29/((b*(b/b**(5/3))/b*b)/((b*b**20)/b)))**30 assuming b is positive. b**1460 Simplify (w*(((w/((w*w**(-3/4)*w)/w))/w)/w)/w*w*w**1)**(-3)*(w/((w/w**(2/13))/w))/w**(3/4)*w**(1/12)/(w**2/w) assuming w is positive. w**(-431/156) Simplify (g**0*g*g*g/(g*g*g*g**(-6)*g))**(-16)*(g**1/g*g)**17*((g/(g*g**(1/3)))/g)/g*g**4 assuming g is positive. g**(-184/3) Simplify (n**(-2/3))**(5/7)*((n**(-2/3)*n*n)/n)**6*(n/(n**(-2/9)/n*n))/(n*(n*n**9)/n*n*n)*n/n**(-2/13)*n*n**(-8)/n assuming n is positive. n**(-13186/819) Simplify ((h/(h**(1/4)*h))**46/((h*h**(3/5))/(h*h/(h/h**2))))/(((h**5*h*h)/h**(2/19))/((h/h**1)/(h/h**2*h*h))) assuming h is positive. h**(-3419/190) Simplify (((((i*i*i/((i*i/i**(-4/7)*i)/i))/i)/(i**4*i))/(i/i**0)**(1/26))**30)**(4/29) assuming i is positive. i**(-61260/2639) Simplify (((v**(-1))**25/(v**(2/7))**(-9/4))**(-2/21))**(-21) assuming v is positive. v**(-341/7) Simplify ((((h**(2/11))**(3/29))**(-1/5))**(1/2))**(22/9) assuming h is positive. h**(-2/435) Simplify ((v**0*(v/v**(-3))/v)/(v*v**(1/6)*((((v/v**(-2/19))/v)/v)/v*v)/v))/((v**(-2/11))**43)**(-10) assuming v is positive. v**(-93365/1254) Simplify (((q/(q**(-5)*q))/(q**(1/9)*q))/(q**(1/4)*q**1))/((q**1)**(-24)/(q*q**0)**(2/31)) assuming q is positive. q**(29801/1116) Simplify ((r/r**(6/5)*r)/r*(r*r*r**(-1/2))/r)**(-5)*((r*r/(r/r**0))/(r*r*r**(-2/9)*r*r))**(-2/39) assuming r is positive. r**(-953/702) Simplify (((k*k**23)/k)/(k/(k/k**9))*(k*k/k**(-27))/(k/((k/(k/(k*k*k/k**(-25)*k)))/k)))**(-22) assuming k is positive. k**(-1540) Simplify ((l**(-1/8)/(l/l**(-1/2)))/(l/l**(-2/25)*l**(-7)))/((l/l**3*l*l/(l*l**(-2/5)))/((l**(-4)/l*l)/l**(-1/15))) assuming l is positive. l**(577/600) Simplify (((q/((q**2/q)/q))/q)**(-25)/(q**8*q/(q*q/q**(-4))*q))/((q*q/q**(-1)*q)**(-42)/(q**(2/11)/q**6)) assuming q is positive. q**(1740/11) Simplify ((p**(-1/4)/p)/p)/p**(-2)*p**(1/5)/p**(-1)*(p**6*p**(1/6))/(p/(((p/(p**1*p))/p)/p))**(-2/39) assuming p is positive. p**(5711/780) Simplify ((b**(2/5)/b)**(-22)/(b**(1/2))**(2/31))/((b*b**6*b)/b*(b*(b/(b/(b*(b**(2/5)*b)/b)))/b)/b)**(-34) assuming b is positive. b**(41039/155) Simplify ((i*i**(-6)*i)/i*i*i**5*(i**1)**(-28/5))/((i**(-6)/i)/i*(i/(i*i**(-2)))/i)**(-1/8) assuming i is positive. i**(-219/40) Simplify ((b**(-2/7))**(-14)*(b*b**(-1/4)/b*b*b*b)/b*b/(b/(b/(b**(-4/3)*b))*b))**(13/8) assuming b is positive. b**(949/96) Simplify (u/u**3*u**(2/25))**(-9)/(u**(-5/2)/(u**7/u)*(u**(2/7)*u)/(u*(u*u/(u/(u**(-1/3)/u))*u)/u*u)) assuming u is positive. u**(27469/1050) Simplify o**(-1/2)/o**(-25)*o**5/(o*((o/o**(-9)*o)/o)/o) assuming o is positive. o**(39/2) Simplify (((i/(i*(i**(-36)/i)/i))/i*i*i**(2/73))/(i**(-16))**(-3/19))**(-2/7) assuming i is positive. i**(-98480/9709) Simplify ((n**(-1)/n)**26*(n**(1/2))**30)/(((n/(n**(3/2)*n))/((n/(n/n**(-4)))/n))/((n**1*n)/((((n*n/n**(-4))/n*n)/n)/n*n))) assuming n is positive. n**(-87/2) Simplify ((u**(-1/4)/u*u)**(4/23))**(-20/11)*((u/(((u*u**(-1/5)/u)/u)/u))/u**2)**(15/8) assuming u is positive. u**(2357/1012) Simplify ((a*a**(-2/7)*a**5)/((a**(-1/10)/a)/a**(-8)))/((a**1/a**(-3))/((a*a/(a**(1/9)/a))/(a/a**0))) assuming a is positive. a**(-2077/630) Simplify ((i*i**(-11)/i)**(-1/14)/(i/(i*i**(-10))*i**(2/23)))**(-15) assuming i is positive. i**(44925/322) Simplify (((h**(7/6)/h)/(h**(1/3)*h))/((h/(h*h**4)*h*h)/(h/(h*h**0))))**(3/38) assuming h is positive. h**(5/76) Simplify ((c**(6/13)*c)/(c/(c/(c/(c*c**(-4/7)*c))*c)))**21*(c**(-2))**45/(c**(-2/7)*c*c)**(-1/54) assuming c is positive. c**(-23977/819) Simplify ((b**(-13)/((b**(-2/35)*b)/b))/((((b/b**(-1/4))/b)/b)/(b*b*b/(b*b*b*b**(-17)/b*b)*b)))**(15/7) assuming b is positive. b**(2439/196) Simplify (a**(4/11)*a*a*a**(-9/5)*(a*a**(-1)/a)**(-9/8))**31 assuming a is positive. a**(23033/440) Simplify (((s/s**9*s)/(s*s/(s*(s**(2/57)*s)/s)))/((s**(-4)/s)/s)**14)**(-12/13) assuming s is positive. s**(-17336/247) Simplify ((i**(-2/5)*i)**(-2/31))**9/((i**4/i)/i*(i**(4/3)/i*i)/i*i**(2/3)/(i/i**(-1/7))) assuming i is positive. i**(-2393/1085) Simplify ((f**(2/11))**(3/14)/(f**(6/17)/f*f*f/(f/f**1)*f*f*f*f))**19 assuming f is positive. f**(-132164/1309) Simplify ((s*s**(-44))/s*s/s**(-26)*((s/(s/((s/s**(-11))/s)*s))/s)**(4/9))**27 assuming s is positive. s**(-351) Simplify o**(-7)/o**(-2)*(o**(-2))**(-15)*(((o/(((o*o*o/(o**2*o*o))/o*o)/o))/o)/o)**(-10)*(o*o**6*o)/(o*o/o**(-7)) assuming o is positive. o**14 Simplify o**4*o*o/(o*o*o/o**5)*o*(o/(o**1*o))/(o*o**(2/5))*(o**(-1/4)*o*o**(-1/3))/(o**1/o)**(-19) assuming o is positive. o**(421/60) Simplify u**22*u**28*u*u/(((u**(7/2)/u)/u)/u)*u*u/u**(-2/11) assuming u is positive. u**(1181/22) Simplify (((i*i**(1/19))/i)**(-11)*i**(-27/2)/(i/((i*i**(-42))/i)))**(-45) assuming i is positive. i**(97605/38) Simplify z**(1/2)*z**7*z**1*z**7*(z**(1/8)/(z**(-1/7)*z))/((z/z**4)/(z/z**(-7))) assuming z is positive. z**(1443/56) Simplify (((((y*y**(4/5))/y)/y)/y*y)**(1/40)*y*y*y**(-10/3)*y**(-34)*y)**37 assuming y is positive. y**(-762311/600) Simplify (h**7*h/(h**(-6)/h))**43*(h**8/(h/h**(-9)))**(-20) assuming h is positive. h**685 Simplify ((o**(2/15)/o*o*o*o/o**(-16))/(o**9*o*o**(-5)))**(-40) assuming o is positive. o**(-1576/3) Simplify ((((n**1*n)**(-21))**(-2/13))**(2/123))**(2/3) assuming n is positive. n**(112/1599) Simplify (y/(y/(y*y*(y*y*y**(-1/49)*y*y)/y)))/(y/(y*y**(-8)))*(y**(3/8))**(-3/14) assuming y is positive. y**(-2431/784) Simplify (d/(d*d**(2/11)/d)*d**(-1/8))**(-1/13)*d**(2/9)/(d*d**(-5/6))*((d**(2/3)*d)/d)**(-22) assuming d is positive. d**(-150985/10296) Simplify ((((u/(u**(1/5)/u*u))/u)/((u/(u**(10/3)/u*u))/u))/(u*u**(-2/21)*u/u**23))**22 assuming u is positive. u**(18656/35) Simplify (y**0)**(-39)/(y*y/(y/y**(-1))*y)**(-38)*y/(y/(y**(3/4)*y))*(y/(y*y**(1/3))*y)/y*y*y**(-6)/y**(2/9) assuming y is positive. y**(1231/36) Simplify ((y*y**5)/(y/y**(1/11)*y*y*y*y*y))**(1/21)*(((y*y**(-1/3))/y)/(y**(-12)/y))**19 assuming y is positive. y**(55595/231) Simplify ((q**(-17)/q)/q*q*q/((q/(q**26/q))/q)*(q*q**(-3/10))/q*q**(-17/4))**(1/18) assuming q is positive. q**(23/120) Simplify ((t**(1/2))**(-2/63))**(40/3)/((t/t**(-1))**(-1/3)/(t**(2/27)*t**(-2/7)*t)) assuming t is positive. t**(235/189) Simplify (z*z*z**(1/6)/z*z**(-3/4)*z**8/(z/(z/(z**(-1/2)/z))))/((z*z**(1/2)*z)**(-13))**(-33) assuming z is positive. z**(-12751/12) Simplify ((c**(2/5))**13*(c*c/(c**(-3)*c))/(c/c**(3/8)))**(-6/17) assuming c is positive. c**(-1029/340) Simplify ((a*a**(-2/3))**(12/7)/(a**(-5)/a**(-1/7)))**(-1/38) assuming a is positive. a**(-1/7) Simplify y*y/(y*y**(-2/13))*y**(2/5)*(y/(y*y/(y/((y**(8/9)*y)/y))))/(y/y**(-2)*y) assuming y is positive. y**(-1951/585) Si
{ "pile_set_name": "DM Mathematics" }
v*m + d and give v. -12681 Rearrange 765*m**2 - 2701*m**2 - 1980*m**2 + (1 - 1 - 2*m)*(m + m - m) to c*m + j + q*m**2 and give q. -3918 Rearrange -20*z**2 + 0 - 28*z**2 + 5*z + 3*z**2 + 2 - 3 to the form m + o*z + t*z**2 and give t. -45 Rearrange -j**2 + 404*j**4 + 0*j**3 - 1 - 4*j**3 - 2*j + 0*j**2 - 405*j**4 to f*j + y*j**4 + p*j**3 + a + l*j**2 and give a. -1 Rearrange (-1205 + 601 + 591 + 3*i)*(-28 + 30 - 4*i**3 - 7*i**3) to a*i**2 + u*i + n*i**3 + w + m*i**4 and give u. 6 Express 577*x - 5*x**2 + x**2 + 11 - 31*x - 12 + 359*x in the form l*x**2 + g*x + p and give p. -1 Express (3*y + 4*y - 5*y + (-1 + 2 + 1)*(-2*y + y + 2*y))*(0 - 1 + 3)*(47 - 217 - 93) as n + x*y and give n. 0 Express 38 - 5278*c + 25 - 63 as r + o*c and give r. 0 Express 477 - 14*c**2 + 523 - 999 - 2*c**3 - 23*c + (-5*c**2 + 3*c**2 - c**2)*(-4*c + 4*c + 3*c) in the form x*c + g*c**3 + m*c**2 + b and give m. -14 Express -80801 + 0*y**3 + 80801 + y**2 + y**3 - 1532*y in the form z*y + p*y**3 + w*y**2 + m and give p. 1 Rearrange -6*m**2 - 51 - 3832 + 7*m**2 to g + p*m**2 + i*m and give p. 1 Express -17 + 47 - 4322*l**2 - 18 - 12 in the form t + j*l + q*l**2 and give t. 0 Express (-1039 + 729 - 1132)*(5*q**2 + 2*q**2 + q**2) as c*q**2 + b*q + s and give c. -11536 Express -4023*o**4 + 6*o + 8011*o**4 - 6 - 3987*o**4 in the form u*o**3 + a + p*o + z*o**2 + d*o**4 and give p. 6 Rearrange 30315 - 12*o**2 - 4*o**3 + o**4 - 15160 - 15161 - 3*o + o to k*o**2 + a*o**4 + i*o + g + j*o**3 and give i. -2 Rearrange 40*f + 41*f + 42*f + 465*f**2 + 48*f - 170*f to the form p + t*f + y*f**2 and give y. 465 Rearrange -190*w**3 + 0*w**4 + 3*w**4 + 0*w**4 - 2*w**4 + (3 + 1 + 2)*(0*w**4 - 9*w**4 - w**4) to the form s*w**3 + j + v*w**4 + q*w + d*w**2 and give j. 0 Rearrange (3*a**3 - 5*a**3 - 2*a**3 + (a - a**2 - a)*(12*a - 6*a + 9*a))*(-19*a + 9*a + 15*a) to the form b*a + c*a**3 + z + j*a**2 + l*a**4 and give l. -95 Express 14902*y - y**4 + 14905*y - 44710*y + 147 + 2*y**3 + 14903*y as i*y + z + t*y**2 + j*y**4 + b*y**3 and give j. -1 Rearrange 2*n + 31*n**2 + 2*n**4 - 52 + 43 - 65*n**2 - n**3 + 36*n**2 to g*n + h*n**2 + b*n**3 + a + p*n**4 and give a. -9 Rearrange -60 + 174 - 61 + 1692*o - 51 to the form b*o + h and give b. 1692 Rearrange (-2*l - 4*l + 5*l)*(4*l - 2*l - l) - 730*l**2 - 1901*l**2 + 610*l**2 to u*l + v + w*l**2 and give w. -2022 Rearrange -23*n + 1571 - n**2 - 10*n + 12*n**3 - 26*n + 15*n - 1572 to the form q + f*n**2 + c*n**3 + i*n and give q. -1 Express (9*d**2 + 87 - 10*d**2 + 223)*(4*d**2 - 6*d**2 - 3*d**2) in the form q*d**2 + u*d**3 + g + r*d**4 + l*d and give q. -1550 Express (2*x**2 - 4 + 4)*(x - 6*x + 2*x) - 4*x**3 - x**3 + 4*x**3 + (-207*x + 129*x + 140*x)*(0 - x**2 + 0) in the form m + i*x**3 + w*x**2 + p*x and give i. -69 Express -90269*x**3 + 90261*x**3 - 3*x**2 - 3*x - 5*x**2 in the form v*x**2 + t + r*x + o*x**3 and give o. -8 Rearrange (26 + 1096 + 164)*(0*j - 3*j + j + (-4 - 2 + 7)*(-3*j - 3*j + 4*j)) to x*j + w and give x. -5144 Rearrange (-3439*z**3 - 1018*z**3 - 1507*z**3)*(4 - 4 - 3*z) to the form x*z**4 + m*z**2 + j + b*z + y*z**3 and give x. 17892 Express -44*r + 5 + 98*r**3 + 46*r + 3*r**2 - 87*r**3 in the form a*r + w*r**3 + l*r**2 + f and give w. 11 Rearrange (-49*g - 368*g - 67*g)*(62 + 4*g**3 - 48*g**3 - 62) to h + o*g**2 + c*g**3 + p*g**4 + y*g and give p. 21296 Express (0 + 3*y + 0)*(-4*y + 7*y + 9*y)*(282*y**2 - 1 - 305*y**2 - 168*y + 161*y) as o*y**3 + f*y**2 + s + v*y + a*y**4 and give f. -36 Express -76*a + 18*a + 15*a + 4*a**2 - 4716 + 43*a in the form s*a + f + r*a**2 and give r. 4 Rearrange -m**4 + 268*m + 2 + 233*m**3 + 0*m**4 - 2*m**2 + 278*m - 546*m to l + o*m**2 + u*m**4 + h*m**3 + t*m and give h. 233 Rearrange -31056 - 2*x**3 - 205*x**2 + 31060 + 1193*x**2 to g + n*x**3 + o*x**2 + j*x and give g. 4 Rearrange (-11 - 36740*h + 18402*h + 18386*h)*(-4*h + 6*h - 4*h) to j + g*h**2 + b*h and give b. 22 Rearrange -25*p**2 + 3 + 8*p**2 + 30*p**3 + 0*p**2 - 31*p**3 + 1 to t*p**3 + n*p + c + r*p**2 and give n. 0 Express 2809 - 2999 + 0*l - 5295 - 3*l - 3188 in the form s*l + x and give s. -3 Express (w + 3*w - 3*w)*((5 - 1 - 1)*(-1 + 2*w + 1) + 2070 - 2070 + 458*w) in the form f*w**2 + s*w + o and give f. 464 Express -703 + r**4 - 710 - 707 + 2123 - 5689*r as f*r + y*r**3 + l*r**4 + u + h*r**2 and give u. 3 Rearrange (244 - 289 + 280)*(4*d**4 - 4*d**4 - 24*d**4) to m*d**4 + s*d**2 + p + v*d**3 + h*d and give m. -5640 Rearrange -2162*f**2 + 18*f - 7*f - 11*f - 5452*f**2 to the form h + y*f**2 + p*f and give y. -7614 Express 101581*j**2 + 0*j - 2*j**3 - 2*j + 101578*j**2 + 5*j**4 + 193 - 203158*j**2 in the form y*j**3 + s + w*j**2 + r*j**4 + i*j and give i. -2 Express -1091*r + r**4 + 357*r + 358*r + 4 + 362*r - 18*r**3 + 5*r**3 in the form s + x*r**3 + c*r + z*r**4 + t*r**2 and give t. 0 Express 3578 - 3579 + 3*v**3 + 2*v + 16*v**2 - v as k*v**3 + p + m*v**2 + y*v and give p. -1 Express -3*w - w - 5171*w**2 + 3*w + 3571*w**2 as i*w + o*w**2 + z and give o. -1600 Rearrange 180*k**2 + 175*k**2 - 1 - 713*k**2 + 177*k**2 - 7*k**3 + 2*k + 178*k**2 to b*k**2 + x*k + j*k**3 + f and give b. -3 Rearrange (-46 + 76 + 54)*(-3*d**2 - 6*d**2 + 2*d**2)*(3 + d - 3) to the form l*d + h + v*d**3 + i*d**2 and give i. 0 Express (-1024*j - 6172 + 6172)*(3 + 5 - 5)*(-3 + 2*j + 3) as n*j**2 + t + m*j and give n. -6144 Express -56*s**3 + 18*s + 9*s**3 + 50*s**3 + 8 in the form x*s**3 + w*s + h*s**2 + y and give y. 8 Express -5*f - 10 + 0*f**3 + 6 - f**2 - f**3 + 3*f**3 as l*f + k*f**3 + r*f**2 + q and give k. 2 Express ((-3 - u + 3)*(-2*u**2 + u - u) + 2*u**3 - 3*u**3 + 3*u**3)*(-4377*u + 12612*u + 3503*u) as l*u**2 + v*u**3 + b*u**4 + a + n*u and give b. 46952 Rearrange 0*n**2 - 67940 + 27*n + 68033 + n**2 to l*n**2 + f*n + x and give f. 27 Rearrange 131452*a**3 - 131456*a**3 + 2*a**4 + 1 - 3 + 5*a to g*a**2 + c*a + b*a**3 + j*a**4 + k and give k. -2 Rearrange 1937*p**2 + 2*p**3 - 2 - 3926*p**2 + 1953*p**2 + 41*p + 2 to q + t*p**2 + n*p + k*p**3 and give t. -36 Express (-3*t**2 - t**2 + 3*t**2)*(3 + 4 - 4)*(-9977 + 9977 + 189*t**2) as y*t + v*t**4 + w*t**3 + k*t**2 + b and give v. -567 Express 303 - 596 + 162*f**2 + 295 + 3*f**3 in the form g*f**3 + t + x*f + z*f**2 and give t. 2 Express -22*u + 7*u - 46*u in the form k + n*u and give n. -61 Express -3*k**3 + 2499*k - 2487*k - 170*k**3 in the form y*k**2 + l*k + c*k**3 + t and give c. -173 Rearrange (2 - 2*n - 2)*(-3*n + 6*n + 0*n) + (-3*n + 2*n - n)*(-25*n + 29*n + 99*n) to the form h*n + c + u*n**2 and give h. 0 Express -9508*c**2 + 6692*c**2 + 7061*c**2 as i*c**2 + j*c + f and give i. 4245 Rearrange o**2 - 57 + 34 - 16*o**3 + 16*o**3 + 60*o**4 to the form z*o**4 + c*o**3 + b*o**2 + h + d*o and give z. 60 Rearrange (598 - 598 + 584*s**2 - 2*s + 2*s + s**2 + (-2*s + 4*s - s)*(2*s - 2*s + 2*s))*(4 - 3 - 2) to the form y*s**2 + g*s + t and give y. -587 Express -31*w + 1 + 72*w - 924*w**2 - 41*w - 4 as m*w**2 + c + q*w and give m. -924 Rearrange (4790*j + 2421*j + 2541*j - 2860*j + 3417*j)*(0 - 2 + 1) to the form o*j + a and give o. -10309 Express (-d**2 + 2*d - 2*d)*(-4*d + 0*d + 3*d) + 1029*d**3 + 73*d**3 - 1675*d**3 - 2498*d**3 in the form c*d + t + x*d**3 + n*d**2 and give x. -3070 Rearrange 130*n**2 - 571*n**4 + 5 - 2*n - 67*n**3 - 72*n**3 + 142*n**3 - 131*n**2 to the form r*n + b*n**2 + i*n**3 + d*n**4 + h and give h. 5 Express ((1 + 0 + 0)*(0 - 2 + 0) + 1 - 3 + 4 + 0 + 2 + 0 + (-4 + 0 + 1)*(6 + 2 + 2))*(-o + 2*o + o) as f*o + n and give f. -56 Express (19 + 4 + 1)*(24*z + 2 - 24*z - 63*z)*(-3 + 0 + 1) as a*z + w and give w. -96 Express -9 + 15*d**2 + 405*d - 435*d + 9 + 12*d**2 as h + p*d**2 + c*d and give c. -30 Express 6597*f**2 - 1925*f**3 - 6597*f**2 - 3 + 3 - f**3 + (-1 + 0 + 2)*(4*f**3 - 3*f**3 - 3*f**3) in the form n*f**2 + s*f + k*f**3 + i and give k. -1928 Rearrange 5*h**3 - 4*h**2 + h - 1151*h**4 + h**3 + 6 - 4*h**3 - 2*h + 1146*h**4 to w + z*h + y*h**3 + n*h**2 + r*h**4 and give r. -5 Express -d**3 - 284*d**2 + 105*d**2 - 3*d**4 - 63*d + 104*d**2 + 77*d**2 as g*d + u*d**4 + r*d**2 + o*d**3 + w and give u. -3 Express (-2*i + 2*i - i)*(-3*i + i + 4*i) + (-30*i - 16 + 16)*(-i + 3*i - 4*i) - 610*i + 610*i - 204*i**2 in the form r*i**2 + g + b*i and give r. -146 Rearrange 29*j**2 + 29 + 10*j**4 - 2*j
{ "pile_set_name": "DM Mathematics" }
-0.4 (b) -2 (c) 5 (d) 4/5 (e) 0.2 (f) 11 f Which is the nearest to -6025? (a) 28 (b) 0 (c) -0.4 (d) -6 (e) -5 d What is the nearest to 3 in 6, 1, 2/7, 4, -4, -2.7? 4 Which is the nearest to -13/4? (a) 1 (b) 9 (c) 644/9 (d) 0.3 (e) 3/5 d What is the nearest to -3/661 in -1/14, -0.7, 637? -1/14 Which is the closest to -71? (a) 2 (b) -4.8 (c) 8 (d) 5 (e) -0.2 (f) 1/6 b What is the nearest to 0 in -6, -2, 1.5, -1.79, -0.04? -0.04 Which is the closest to -9/8? (a) 2/1287 (b) 1 (c) 272 (d) 6 a What is the nearest to -6 in -1, 1/347, -297? -1 Which is the closest to -1? (a) -4 (b) -0.14 (c) 5 (d) -272 (e) 24 b What is the nearest to 1.2 in 0.5, -1/5, 2, 4.06, -0.3? 0.5 Which is the closest to 1.0623? (a) 0.193 (b) -1 (c) 1 c What is the nearest to 2/5 in 4, 0.3, -1674551, -2, 0.1? 0.3 What is the closest to -0.1 in 3/4, 21180, -444? 3/4 Which is the nearest to -1/4? (a) 15 (b) 1/4 (c) -0.12 (d) 1 (e) 0.043 c Which is the closest to -2? (a) -1/10 (b) 0.113 (c) 2/5 (d) -68 (e) -3 e What is the closest to 0 in -45906, 0, 1? 0 Which is the closest to 1/3? (a) -3 (b) 46 (c) 1146/13 a What is the nearest to 0 in -1/5, -2, -2/263, -8343, -4/3, -5? -2/263 Which is the closest to 2/7? (a) -2 (b) -3 (c) 0.041 (d) -2/11 (e) 1 c Which is the closest to 1/19? (a) -7/8 (b) 0.1 (c) -69/107 b What is the closest to 2.2 in -3/4600, 19, 3? 3 What is the nearest to -3/8 in -33, -39, 5/4, 104? 5/4 What is the closest to -2 in 2, 30578, -2/65? -2/65 Which is the nearest to -50? (a) -0.3 (b) 1 (c) -1 (d) -559 c Which is the closest to 49/6? (a) -234 (b) -0.3 (c) 0.03 c Which is the closest to 1164? (a) -0.2772 (b) -2/13 (c) 0.3 c What is the nearest to -2 in -2, -65/6, 61, 2, 6, 1? -2 Which is the nearest to 11? (a) -3.4 (b) -1 (c) -4 (d) -11 (e) 5 (f) -2/79 e Which is the closest to 0? (a) -5 (b) -2/13 (c) 32/11235 c What is the nearest to -3 in 7.5965, 1, -0.3, -0.4? -0.4 Which is the nearest to 24262? (a) -1 (b) -4 (c) -122 a What is the nearest to 2/5 in -2, -4, -0.2225154, 3? -0.2225154 Which is the closest to 1? (a) 2 (b) -81 (c) -1/3 (d) -2 (e) 5 (f) 198 a Which is the nearest to 223? (a) 2/27 (b) 4/7 (c) 5/39 b What is the nearest to 0.65 in -3, 3, 6, 1/12, 5, 2/193? 1/12 What is the nearest to 0.1 in 29/2, -5, -0.3, -954? -0.3 Which is the nearest to 63? (a) 5/3 (b) -0.7 (c) 8/241 (d) 4 d What is the nearest to -1 in 1895737, 2/5, 5? 2/5 What is the nearest to -0.5 in 2, -22, -1673, 0.5? 0.5 Which is the closest to -1? (a) 2/301 (b) -4 (c) -19/12 (d) -17 c Which is the nearest to -0.42? (a) -1 (b) -0.4 (c) 0.3 (d) -1.44 (e) 6 b Which is the nearest to 1? (a) -1/30 (b) -11 (c) -3.1 (d) 1 (e) -4/43 (f) 3 d Which is the closest to -1/2? (a) 0.3 (b) 137 (c) -10 (d) -3/2 (e) -2/11 (f) 17 e Which is the closest to -2? (a) 0.5 (b) -704 (c) 33 (d) -30 a Which is the closest to 2/5? (a) -1/33 (b) 35/2 (c) 620 a Which is the closest to 0? (a) -2/3 (b) -2/2679 (c) -2/15 (d) 4/37 b Which is the closest to 6/5? (a) 95/28 (b) 1/4 (c) -0.3 (d) -0.2 (e) 5 (f) -3/5 b What is the nearest to 4 in 4, 5, -0.01, 1503, -0.2? 4 What is the closest to 8 in 7, -74, 2/15, -3, -2? 7 Which is the nearest to 49/333? (a) 38 (b) -74 (c) 3/4 c What is the closest to 2 in 1668, 4, -83, 4/7? 4/7 Which is the nearest to 2/5? (a) 27/2 (b) -136 (c) -7/5 c What is the nearest to -0.2 in -5/9, -28, -80? -5/9 What is the closest to -1/4 in 24/17, 5, 2/3097, 3? 2/3097 What is the nearest to 1.8 in -5, 181, -48? -5 Which is the closest to 5? (a) 3105 (b) -4/31 (c) -0.4 b Which is the nearest to 6? (a) 13 (b) -0.3 (c) -5 (d) 0.63 d Which is the nearest to -1? (a) -35/6 (b) 0.14468 (c) -0.3 c What is the nearest to -706 in -0.01, 0.3, 493, 2? -0.01 What is the closest to 1 in -3328, 21/5, 0.3? 0.3 Which is the closest to 1/2? (a) -4/33 (b) 3/7 (c) -8/5475 (d) -0.3 b Which is the nearest to 1/2? (a) 1/8 (b) -21 (c) 2/3265 a Which is the nearest to 1/5? (a) -3 (b) 0.2 (c) 0.23739 (d) -0.5 b Which is the nearest to -22? (a) -791 (b) -492 (c) -0.4 c What is the nearest to 0 in -0.03, 8808, -0.09, 5/6? -0.03 What is the nearest to 6 in -0.2, -10, 2, 36428? 2 Which is the closest to -10? (a) -31544 (b) 48 (c) 1 c Which is the closest to 0? (a) 0.03232 (b) 3 (c) -5/6 (d) -2/11 a Which is the closest to -5? (a) 0 (b) 2 (c) 2/15 (d) -6 (e) -229 d What is the nearest to 0 in -1, -9, 4/5, -89, -5? 4/5 Which is the nearest to 19? (a) -12 (b) -31.88 (c) -7 (d) 0 (e) 4/7 e Which is the nearest to -2? (a) 0.2 (b) 2/9 (c) -427 (d) 10 (e) -15 a What is the nearest to 16161 in 76, 6/5, -3/31? 76 Which is the closest to 1.7? (a) -1/6 (b) -33893 (c) 0 c What is the nearest to -0.4 in -75.6, -3, -0.1981? -0.1981 What is the closest to -4 in 3/724, -0.3, 926/3, 0.5, -2/7? -0.3 What is the nearest to 0.3 in -4784, 1/18, 3, 11? 1/18 What is the closest to -2 in -0.02, 9, 0.3, -5, 19418, 0? -0.02 Which is the nearest to -7? (a) -1/2 (b) 0.4 (c) -125166 a Which is the nearest to 1? (a) 12.19 (b) -2/5 (c) -7.63 (d) 0.4 d What is the nearest to 85 in 7, 7.68, 0.11, 0.2? 7.68 Which is the closest to 485? (a) 0.2 (b) -2/17 (c) 82 (d) 32 c What is the closest to -1/4 in 6/17, 0, 0.1579, -1, 0.1, 24/5? 0 Which is the nearest to 0.2? (a) 1/4 (b) -3 (c) -0.14 (d) 3 (e) -13 (f) 264 a What is the closest to -1 in 2/503, 69354, 5? 2/503 Which is the closest to 8.6? (a) 29 (b) 0.09 (c) 72 b What is the nearest to -2/3 in 0.182, -0.06, -36, -4? -0.06 What is the nearest to -1 in 36, 2/5, -331, 0.1? 0.1 What is the nearest to -2 in 2412, 268, -2/13? -2/13 Which is the closest to -0.17? (a) 0.4 (b) 8512 (c) -3 a Which is the nearest to -5? (a) 2/2423 (b) -1851 (c) 4/3 a What is the nearest to 256/7 in 0, 56, 101? 56 Which is the closest to -2/7? (a) 0.3 (b) 4 (c) -3/5 (d) 76.26 (e) 4.7 c Which is the nearest to -1.6? (a) -0.0165 (b) 35 (c) -1 (d) 11 c Which is the nearest to 35? (a) 249.8 (b) -7 (c) -2/47 c What is the closest to -2/3 in 25/3, 3.2, 0.2, -3/5, 18? -3/5 What is the closest to -3/4 in 4, -0.03, 41, 68? -0.03 What is the nearest to 2/3 in 40, -15103, 7, 2/23, 0.1? 0.1 Which is the closest to -5? (a) 2/11 (b) 4 (c) -5 (d) -3 (e) 46728 (f) -2/9 c Which is the nearest to -5/3? (a) 8 (b) 4 (c) -7 (d) -1/8 (e) 34/47 d Which is the closest to -30/13? (a) 2/11 (b) -1/3 (c) 210 (d) -21 b Which is the nearest to -12? (a) -5/6 (b) 42/2347 (c) -0.1 a Which is the nearest to 1? (a) 1.68 (b) 0.3 (c) -0.3 (d) 1/3 (e) -11/39 (f) 0.03 d What is the closest to -0.1 in -2/21, 4/587, 0.06? -2/21 What is the nearest to 2/9 in -0.13, 587490, 5? -0.13 Which is the nearest to 2? (a) -9 (b) 2/1665 (c) -474 b Which is the closest to -767? (a) 2/5 (b) -4 (c) 1.984 (d) -0.1 (e) 4 b What is the closest to -2/13 in -10, 4, -0.5, 0.1, 0.79939, 3/2? 0.1 Which is the closest to 10? (a) -2.3 (b) 44260 (c) 5 c What is the closest to 0 in -1, -3, -249.6799, 2? -1 Which is the closest to 2/5? (a) 0.5 (b) 1.7 (c) 0 (d) -1121.1 (e) -0.1 a Which is the closest to -3? (a) -2.41 (b) 12 (c) -19.6 a What is the nearest to -2 in -0.2, 0.4, -34, -5, -6/113? -0.2 Which is the nearest to 0? (a) -8 (b) 4.65 (c) -0.1 (d) 193 c Which is the closest to -2/9? (a) -2/9 (b) 3 (c) -4 (d) 0.161 (e) -38 a What is the nearest to 2 in 6, -5, 2/7, 25334? 2/7 What is the closest to -0.2 in -3, -2/5, 59373, 15? -2/5 What is the closest to -5992 in 2/5, 200, 2? 2/5 What is the nearest to 262 in 0.5, 4, -2/3, -2, 2/17, 325? 325 What is the nearest to -0.4 in -14.1, -1/278, 0.1, 3, 8? -1/278 What is the nearest to -10 in -2/3, 613/3, -92? -2/3 Which is the nearest to -0.2? (a) -592 (b) -5/2 (c) 2/5 (d) 1161 (e) -3 c Which is the closest to 2/3? (a) -2/99 (b) -1/11 (c) -1/9 (d) 5 (e) 4975 a Which is the nearest to -0.1? (a) 0 (b) -3.4 (c) 15.6 (d) -0.17 d What is the closest to -63/4 in 2/13, -212, 1? 2/13 Which is the closest to -0.03? (a) 0 (b) -3 (c) 4748 (d) 2/7 a Which is the nearest to 1/2? (a) -4 (b) 36477 (c) 5/3 (d) 0.1 d Which is the nearest to -106? (a) 155 (b) -1 (c) -679 b Which is the nea
{ "pile_set_name": "DM Mathematics" }