, 2, 4
Let l = 13231/54 - 245. Let i(q) be the second derivative of -l*q**4 - 2/9*q**2 - 1/9*q**3 + 10*q + 0. Factor i(t).
-2*(t + 1)*(t + 2)/9
Suppose 0 = 4*l - 6*v + 4*v + 1632, 402 = -l - v. Let h = l - -411. Determine d so that -5/4*d**4 + 0 + h*d + 0*d**2 - 15/4*d**3 = 0.
-2, 0, 1
Let a = 12748 + -12744. Let h(j) be the second derivative of 0*j**3 + 3/20*j**a + 3/100*j**5 - 6/5*j**2 - 13*j + 0. Suppose h(k) = 0. What is k?
-2, 1
Let z(b) be the first derivative of b**7/1365 + b**6/195 - 11*b**5/390 + b**4/26 - 5*b**2 - 2*b + 86. Let f(c) be the second derivative of z(c). Factor f(h).
2*h*(h - 1)**2*(h + 6)/13
Let b be -2 - 1/(3/(-12)). Let n = -3451/6 - -576. Factor n*x - 1/6*x**b + 0.
-x*(x - 5)/6
Let i(n) = 2*n**4 - 7*n**3 + n**2 + 10*n - 6. Let l(a) = a**3 + a**2 - 2. Let t(h) = -i(h) + 3*l(h). Factor t(u).
-2*u*(u - 5)*(u - 1)*(u + 1)
Let -36/5 + 62/5*o**2 + 14/5*o**4 - 114/5*o + 74/5*o**3 = 0. Calculate o.
-3, -2/7, 1
Let j(m) = 26 - 7*m - 2*m - m**2 + m + 3*m. Let o be j(-8). Factor -s - s - o*s - 2*s**2 + 4*s**2.
2*s*(s - 2)
Suppose -1 = -x + p, -4*x - 3*p + 15 = -10. Factor 5*t**2 - t**3 + 3*t**5 - 2*t**5 - 6*t**2 - 4*t**x + 5*t**4.
t**2*(t - 1)*(t + 1)**2
Let p be 3 - (3650/6 - 5). Let a = 601 + p. Solve -a*b**5 - 4/3 + 4/3*b**3 - 4/3*b**4 - 2/3*b + 8/3*b**2 = 0 for b.
-2, -1, 1
Suppose -t = c - 1, 28*t - 2*c + 12 = 32*t. Let o(b) be the first derivative of -16/9*b**2 - 16/9*b**3 + 9 + 0*b - 4/45*b**t - 2/3*b**4. Factor o(g).
-4*g*(g + 2)**3/9
Let d = -274/293 + 2504/2051. Factor d*g**2 + 0*g + 0.
2*g**2/7
Let g(o) be the third derivative of 77*o**5/480 + 61*o**4/192 + o**3/4 - 393*o**2. Let g(t) = 0. Calculate t.
-3/7, -4/11
Suppose b - 17 = -4*v, -5*v = b - 21 - 0. Let o be (-8 + 256/24)*6/v. What is c in 0 + 0*c**3 - 3*c**o + 0*c + 3/2*c**5 + 0*c**2 = 0?
0, 2
Let k be ((-3)/(-9))/(2/150). Let h = k - 23. Factor q**3 + 0*q**4 + 4*q**4 - 8*q + 5*q**3 + h*q**3 - 4.
4*(q - 1)*(q + 1)**3
Let y(k) be the third derivative of k**6/300 + 4*k**5/75 - 299*k**4/60 - 1014*k**3/5 - 1896*k**2. Let y(i) = 0. Calculate i.
-13, 18
Let b(c) = c**3 + 11*c**2 + 26*c - 36. Suppose 3*h - 36 = -48. Let n(f) = 5*f**3 + 55*f**2 + 131*f - 180. Let z(l) = h*n(l) + 22*b(l). Let z(r) = 0. What is r?
-6, 1
Let l(q) = 3*q**2 - 6*q - 9. Let n be l(-3). Suppose 0 = -t + n - 34. Factor 6/7 + 20/7*f + 6/7*f**t.
2*(f + 3)*(3*f + 1)/7
Solve 326/5*w + 2/5*w**2 - 132 = 0.
-165, 2
Let s(a) be the first derivative of 1/12*a**6 - 96 + 0*a**2 + 0*a + 3/8*a**4 + 3/5*a**5 - 5/3*a**3. Factor s(o).
o**2*(o - 1)*(o + 2)*(o + 5)/2
Determine y, given that 5*y**4 + 320*y + 42977*y**2 - 21553*y**2 - 21529*y**2 - 80*y**3 + 263 + 77 = 0.
-2, -1, 2, 17
Determine a so that 0 + 4/3*a**3 + 44/3*a**2 + 0*a - 11/3*a**4 - 1/3*a**5 = 0.
-11, -2, 0, 2
Let s(t) be the first derivative of -78 - 16/15*t**2 - 1/30*t**4 - 8/5*t - 14/45*t**3. Suppose s(n) = 0. Calculate n.
-3, -2
Let f(m) = -1598700*m**2 - 8870*m - 1. Let i(s) = -532900*s**2 - 2960*s. Let r(q) = 4*f(q) - 11*i(q). Factor r(c).
-4*(365*c + 1)**2
Let h(l) be the second derivative of -5*l**4/12 + 15*l**3/2 + 55*l**2 + 945*l. Determine o so that h(o) = 0.
-2, 11
Let g(n) = 31 - 5*n**2 + 3*n**2 + 3*n**2 + 4*n. Let c(l) = -7 - 60*l**2 + 70 + 62*l**2 + 7*l. Let z(j) = 6*c(j) - 13*g(j). Factor z(s).
-(s + 5)**2
Let v = 172945/7061 + 99/14122. Find o, given that v*o**2 + 0 - 25/2*o**3 + o = 0.
-1/25, 0, 2
Solve -3*m**4 + m**5 + 14*m**3 - 8*m**3 - 11*m**4 + 7*m**4 = 0 for m.
0, 1, 6
Solve -84*u**3 + 216*u - 216*u**2 - 11*u**4 - 1/2*u**5 + 1296 = 0.
-6, 2
Let i(h) = -4*h**3 - 34*h**2 - 289*h + 6. Let v be (-225)/30*(-5 + 3). Let k(t) = -t**3 + 2. Let l(p) = v*k(p) - 5*i(p). Determine a so that l(a) = 0.
-17, 0
Let q = 454 - 452. Determine g so that -8*g**2 - 11*g**4 - 120*g + 183*g**q + 5*g**4 + 11*g**4 - 60*g**3 = 0.
0, 1, 3, 8
Let t(m) be the first derivative of -7*m**4/8 + 751*m**3/6 - 239*m**2 + 106*m - 5400. Factor t(j).
-(j - 106)*(j - 1)*(7*j - 2)/2
Let a(m) = 835*m - 26718. Let o be a(32). Factor -6/7*b + 2/7*b**o - 20/7.
2*(b - 5)*(b + 2)/7
Let u(m) be the first derivative of -m**3 - 411*m**2/2 - 810*m - 1632. Factor u(b).
-3*(b + 2)*(b + 135)
Let t(k) = -k**2 + 1. Let o(v) = 10*v**2 - 492*v + 482. Let d(a) = o(a) + 7*t(a). Factor d(u).
3*(u - 163)*(u - 1)
Let q(c) = 2*c**3 - c**2 - c - 2. Let w(y) = -3*y**3 + 1966*y**2 - 1287074*y + 281011377. Let v(x) = 2*q(x) + 2*w(x). Factor v(l).
-2*(l - 655)**3
Let l be 122/22 - 5 - 42/77. Let t(r) be the second derivative of l + 1/48*r**4 - 5*r - 1/12*r**3 + 0*r**2. Factor t(x).
x*(x - 2)/4
Let a(q) = -238*q**4 + 51*q**3 - 9*q**2 + 9*q - 9. Let i(d) = 53*d**4 - 13*d**3 + 2*d**2 - 2*d + 2. Let b(r) = -4*a(r) - 18*i(r). Determine z so that b(z) = 0.
0, 15
Let s = 195375 - 1367621/7. Let v(b) = -b + 7. Let y be v(5). Let -18/7 + 48/7*g - s*g**5 - 44/7*g**3 - 8/7*g**y + 26/7*g**4 = 0. What is g?
-1, 1/2, 1, 3
Let x(l) be the second derivative of 5*l**7/42 + l**6/3 - 9*l**5/2 - 10*l**4/3 + 205*l**3/6 + 75*l**2 + 51*l. Let x(t) = 0. Calculate t.
-5, -1, 2, 3
Suppose -12*f + 14 = -15 - 7. Factor 4/3*a**2 - 2/3*a**f + 2/3*a - 4/3.
-2*(a - 2)*(a - 1)*(a + 1)/3
Suppose 8*w + 87 = 11*w. Suppose w = -4*j + 53. Determine q, given that 3*q**4 + j*q**3 - 12*q**2 - 10*q**3 + 4*q**2 + q**4 = 0.
-1, 0, 2
Suppose 4*t = j + 76, -j - 115*t + 113*t + 38 = 0. Factor -108*z + j - 1/3*z**3 - 12*z**2.
-z*(z + 18)**2/3
Find n, given that 3/2*n**2 + 7776 - 216*n = 0.
72
Let d be (8 + -2)*(-1)/(-3). Let y(r) = 4*r**2 + 33*r + 11. Let u be y(-8). Let 5*h**2 - 101*h + 9*h**u - 4*h**3 + 5*h**4 + 116*h - 30*h**d = 0. What is h?
-3, 0, 1
Let v(r) be the first derivative of 54 - 1/6*r**4 + 0*r + 0*r**2 + 8/9*r**3. Solve v(a) = 0.
0, 4
Let w(k) be the first derivative of 4/9*k**3 - 1/18*k**4 - 1 + 5/3*k**2 - 17*k. Let v(s) be the first derivative of w(s). Factor v(h).
-2*(h - 5)*(h + 1)/3
Let h(i) be the third derivative of i**6/200 - 261*i**5/25 + 45414*i**4/5 - 21072096*i**3/5 + 816*i**2. Suppose h(v) = 0. Calculate v.
348
Let 166/9*s**3 - 56/9 - 376/9*s - 66*s**2 + 440/9*s**4 = 0. Calculate s.
-1, -2/5, -1/4, 14/11
Let f(s) be the second derivative of 0*s**2 + 1/6*s**6 - 64*s + 0 + 5/3*s**4 + s**5 + 0*s**3. Factor f(y).
5*y**2*(y + 2)**2
Factor -937 + 2006 - 16*o - 957 - 11*o**2.
-(o + 4)*(11*o - 28)
Factor -160/7 - 4/7*z**3 - 60/7*z**2 - 216/7*z.
-4*(z + 1)*(z + 4)*(z + 10)/7
Let l(q) = -q**3 + 14*q**2 - 9*q - 49. Let v be l(13). Solve -o - v*o**3 - o + 12*o**2 - 3*o**4 + 13*o + o = 0 for o.
-2, -1, 0, 2
Suppose -2*m + 5*a = 5 + 1, -m + 3*a - 4 = 0. Suppose 2*s + 6*f = m*f + 8, 5*f = -2*s + 6. Factor -6*n + 21*n + n**3 - 8*n - s*n.
n*(n - 1)*(n + 1)
Factor 22201*c**3 + 447*c**2 + 0 + 9/4*c.
c*(298*c + 3)**2/4
Let w(q) be the third derivative of -q**5/150 + 152*q**4/3 - 462080*q**3/3 + 3*q**2 - 1167. Factor w(c).
-2*(c - 1520)**2/5
Let j(r) be the first derivative of 78 + 8/7*r**3 + 36/7*r + 3/28*r**4 + 57/14*r**2. Find k such that j(k) = 0.
-4, -3, -1
Let f(v) = v**2 + 548*v + 15676. Suppose 0 = -7*a - 245 + 217. Let p(b) = 10*b**2 + 4935*b + 141085. Let z(m) = a*p(m) + 35*f(m). Factor z(s).
-5*(s + 56)**2
Let x(q) be the second derivative of 13*q**4/3 + 1216*q**3/3 + 920*q**2 - 4*q + 469. Solve x(n) = 0 for n.
-46, -10/13
Let k(s) be the third derivative of -7*s**6/40 - 261*s**5/10 + 225*s**4/8 - 735*s**2 + 2*s. Find x, given that k(x) = 0.
-75, 0, 3/7
Let i(q) be the third derivative of 0*q**3 + 1/315*q**7 + 0*q**5 + 0 + 1/1008*q**8 + 1/360*q**6 + 0*q**4 + 2*q + 4*q**2. Solve i(l) = 0.
-1, 0
Let b = 646 - 5810/9. Let l = 3991/2991 - 1/997. Factor l - b*m**2 - 8/9*m.
-4*(m - 1)*(m + 3)/9
Let y be 119/85 + 24436356/1710. Factor y + 1/3*d**3 + 1225*d + 35*d**2.
(d + 35)**3/3
Let z be (((-152)/(-10))/(-19))/((-104)/195). What is j in -18 - 12*j + 3/2*j**3 + z*j**2 = 0?
-2, 3
Determine t, given that 0 + 1/3*t**4 + 29/3*t**3 - 75*t + 65*t**2 = 0.
-15, 0, 1
Let c(t) = -3*t**2 - 6*t + 9. Let m = 27 + -14. Let s(n) = -m*n - 3*n**2 + 21*n - 14*n + 9. Let w(v) = -2*c(v) + 3*s(v). Factor w(l).
-3*(l - 1)*(l + 3)
Let h(z) be the third derivative of -z**6/72 + 44*z**5/9 - 13195*z**4/24 + 4205*z**3 + 559*z**2 - 1. Factor h(c).
-5*(c - 87)**2*(c - 2)/3
Let w(f) be the first derivative of 5*f**6/6 - 9*f**5 - 15*f**4 + 620*f**3/3 - 3