4 + b**8/336 - b**7/84 - 5*b**3/3 + 11*b**2. Let d(z) be the first derivative of q(z). Factor d(x).
5*x**3*(x - 1)*(x + 2)
Let v be (-398)/(-990) + (-83)/913 - 2/18. Determine t so that 0*t + 0 + 1/5*t**5 - v*t**3 + 1/5*t**4 - 1/5*t**2 = 0.
-1, 0, 1
Let s(r) be the third derivative of r**6/24 - 15*r**4/8 - 2*r**2 - 143. Factor s(n).
5*n*(n - 3)*(n + 3)
Find t such that -2/9*t**3 - 8192/3*t - 128/3*t**2 - 524288/9 = 0.
-64
Let v = 65 + -54. Determine k so that 22*k**2 - v*k**2 - 8 - 20*k + 33*k**2 - 16*k**3 = 0.
-1/4, 1, 2
Let y be (302/(-90) + 3)*(-75)/30. Solve -14/9*u**2 - y*u**3 + 8/3*u**4 - 2/9*u + 0 = 0 for u.
-1/2, -1/6, 0, 1
Let p(u) be the first derivative of -2/21*u**3 - 2/35*u**5 - 2 - 1/7*u**4 + 0*u**2 + 0*u. Suppose p(a) = 0. What is a?
-1, 0
Let a(q) = 2 + 2*q**3 - q**3 - 6*q + 0*q + 5*q**2. Let u be a(-6). Factor -u + 4*r**2 + 9 - 8*r - 7.
4*r*(r - 2)
Let f(s) be the third derivative of -49*s**6/160 - 511*s**5/10 + 587*s**4/8 - 42*s**3 - 3*s**2 - 89*s. Factor f(l).
-3*(l + 84)*(7*l - 2)**2/4
Let l be ((-10)/25)/((-275)/250). Factor 8/11 - 14/11*o + l*o**2 + 2/11*o**3.
2*(o - 1)**2*(o + 4)/11
Let t(y) be the third derivative of y**6/40 - y**5/10 - y**4/8 + y**3 - 140*y**2. Find h, given that t(h) = 0.
-1, 1, 2
Solve 2/3*i**3 + 20/3*i**2 + 46/3*i + 28/3 = 0 for i.
-7, -2, -1
Suppose 0 = 3*o + 4*s - 14, 2*o = 5*s - 2*s - 2. Factor 3*p**5 + 4*p + 3*p**o + 3*p**4 - 29 - p - 6*p**3 - 9*p**2 + 32.
3*(p - 1)**2*(p + 1)**3
Suppose 0 = 4*h - 2*s - 24, -4*h = -5*h + 5*s + 24. Factor 17*p**2 - 17*p**2 + h*p**4.
4*p**4
Let m be (-1*(1 - -1) - -12)*90/540. Suppose -5/3*s**5 + 10/3*s**3 - 5/3 + 10/3*s**2 - 5/3*s**4 - m*s = 0. What is s?
-1, 1
Let a be 4/6 - 920/(-69). Find n such that 76*n**2 + 82*n**4 - 16*n**5 - 6 - 2 + 8*n**4 - 4*n - 124*n**3 - a*n**4 = 0.
-1/4, 1, 2
Let t(d) = -123*d**2 + 1108*d - 9. Let h be t(9). Find p such that 5/2*p**2 + h*p - 25/4*p**3 + 0 = 0.
0, 2/5
Let d(r) be the third derivative of 0*r - 1/70*r**7 + 1/20*r**5 + 19*r**2 + 1/20*r**6 + 0*r**3 + 0 - 1/4*r**4. Find j such that d(j) = 0.
-1, 0, 1, 2
Let i(h) be the third derivative of 0*h + 0 + 1/480*h**5 + 20*h**2 + 1/192*h**4 + 0*h**3. Factor i(n).
n*(n + 1)/8
Let i(n) be the second derivative of -n**4/21 - 18*n**3/7 + 284*n. Determine v, given that i(v) = 0.
-27, 0
Find t, given that -t**5 + 30*t**2 - t**5 - 35*t**3 + 70*t + 67*t + 15*t**4 - 145*t = 0.
0, 1/2, 1, 2, 4
Factor 0 + 1/5*f**3 - 4/5*f**2 + 4/5*f.
f*(f - 2)**2/5
Let r be 2/(-16)*-6*((-1932)/(-70) + -10). Find i, given that r*i**3 + 3*i**4 + 24/5*i**2 + 0 + 0*i = 0.
-4, -2/5, 0
Let q = -12 - -13. Suppose 2*m - 5 - q = 0. Factor 4*x - 8 - m*x**3 - 2*x + 2 + 6*x**2 + x.
-3*(x - 2)*(x - 1)*(x + 1)
Let f(n) be the first derivative of -5*n**3/6 - 45*n**2/4 + 55*n - 157. Factor f(m).
-5*(m - 2)*(m + 11)/2
Let f(o) be the second derivative of o**5/10 + o**4/3 + o**3/3 + 15*o. Factor f(v).
2*v*(v + 1)**2
Let g(d) be the first derivative of 0*d**2 + 0*d + 1/360*d**6 - 1/3*d**3 - 1/120*d**5 - 7 + 0*d**4. Let t(o) be the third derivative of g(o). Factor t(v).
v*(v - 1)
Let u be 3*(-5 - (-545)/105). Suppose -8/7*t - 4/7*t**2 - u = 0. Calculate t.
-1
Let o(y) be the first derivative of y**8/1512 + y**7/945 - y**6/540 - y**5/270 - 11*y**2/2 - 19. Let i(h) be the second derivative of o(h). Factor i(b).
2*b**2*(b - 1)*(b + 1)**2/9
Let o(u) be the first derivative of -u**5 - 10*u**4 - 65*u**3/3 - 15*u**2 - 56. Factor o(j).
-5*j*(j + 1)**2*(j + 6)
Let c(x) = 812*x - 809. Let h be c(1). Determine z so that 81/4 + 63/4*z + 1/4*z**h - 17/4*z**2 = 0.
-1, 9
Let -12/5 - 3/5*a**4 + 9/5*a**3 + 3*a**2 - 9/5*a = 0. Calculate a.
-1, 1, 4
Let y(n) be the second derivative of 2*n**7/315 - n**6/30 + n**5/45 + n**4/6 - 4*n**3/9 - 12*n**2 - 6*n. Let v(w) be the first derivative of y(w). Factor v(x).
4*(x - 2)*(x - 1)**2*(x + 1)/3
Let k(i) be the second derivative of -i**5/10 + 2*i**4 - 7*i**3 - 98*i**2 + i + 27. Factor k(n).
-2*(n - 7)**2*(n + 2)
Let b be (-24)/(-11)*(-268)/(-1608). Factor -14/11*z**3 - 32/11*z**2 - b - 2*z.
-2*(z + 1)**2*(7*z + 2)/11
Let r(g) be the first derivative of -g**7/189 + 4*g**6/135 - g**5/15 + 2*g**4/27 - g**3/27 + 3*g - 14. Let u(n) be the first derivative of r(n). Factor u(b).
-2*b*(b - 1)**4/9
Let h(s) = -23*s + 828. Let d be h(36). Let u(j) be the first derivative of 5 + 0*j**3 + 16/5*j**5 + d*j + j**6 + 3*j**4 - j**2. Factor u(m).
2*m*(m + 1)**3*(3*m - 1)
Factor 0 + 0*u**2 + 2/7*u**3 - 8/7*u.
2*u*(u - 2)*(u + 2)/7
Let g(d) = 2*d**3 + 2*d**2 - 11*d + 2. Let y be g(0). Determine o so that -4/7 - 12/7*o - 4/7*o**3 - 12/7*o**y = 0.
-1
Suppose -195*q + 34*q - 8*q + 338 = 0. Factor 0*g - 8/7*g**q + 2/7*g**3 + 0.
2*g**2*(g - 4)/7
Let k(m) be the second derivative of 309*m**5/80 - 13*m**4 + 107*m**3/8 - 3*m**2/4 - 3*m + 14. Determine u so that k(u) = 0.
2/103, 1
Let b be (-115)/(-161) + 4/(-14). Factor -27/7*g**3 + 3*g**2 - 6/7*g + 0 + 15/7*g**4 - b*g**5.
-3*g*(g - 2)*(g - 1)**3/7
Let 17/4*w**4 - 3/4*w**5 + 8*w - 4 + 0*w**2 - 7*w**3 = 0. Calculate w.
-1, 2/3, 2
Let m(t) be the first derivative of t**6/6 + 3*t**5/5 - t**4/4 - 7*t**3/3 + 4*t - 1042. Factor m(c).
(c - 1)**2*(c + 1)*(c + 2)**2
Let f(m) be the second derivative of -m**8/15120 - m**7/5670 + m**6/810 - 5*m**4/6 - 21*m. Let b(j) be the third derivative of f(j). Let b(g) = 0. What is g?
-2, 0, 1
Let g(x) be the second derivative of -15/2*x**2 + 18*x + 3*x**3 + 0 - 1/4*x**4. Factor g(w).
-3*(w - 5)*(w - 1)
Let h(z) = -z**2 - 1. Let u(b) = b**3 - b**2 - 2*b - 2. Let t(d) = 2*h(d) - u(d). Determine l, given that t(l) = 0.
-2, 0, 1
Suppose 5*d + 10*w + 25 = 5*w, -2*d = -3*w - 15. Let x(t) be the second derivative of d*t**2 - 11*t + 1/12*t**3 + 0 - 1/48*t**4. Suppose x(n) = 0. Calculate n.
0, 2
Let h(a) be the second derivative of 5/42*a**3 + 15*a - 1/140*a**5 - 1/21*a**4 + 0 + 0*a**2. Factor h(w).
-w*(w - 1)*(w + 5)/7
Let l = 0 + 0. Let z(s) = -s**3 + s**2 + 2. Let y be z(l). Factor 0*c**y - 5 + 4 + c**2.
(c - 1)*(c + 1)
Let j = 18 - 14. Suppose -6 = -j*u + 2. Factor -12*d - 5 - 3 + 17*d**u - 21*d**2.
-4*(d + 1)*(d + 2)
Let d = 74/9 + 1210/63. Find k, given that -32/7 + 240/7*k**3 + d*k - 368/7*k**2 - 50/7*k**4 = 0.
2/5, 2
Suppose -52 = -4*s + 36. Suppose -5*l - 34 = -j, j - 4 = 3*l + s. Find k, given that 12*k**2 + 2*k - j*k**2 - 2*k - k**3 = 0.
-2, 0
Let k(d) be the second derivative of d**5/5 - 26*d**4/3 + 128*d**3 - 576*d**2 - 5*d - 5. Factor k(y).
4*(y - 12)**2*(y - 2)
Suppose -m + 2 = 5*t + 1, -2*m = -9*t - 2. Factor t*p + 0*p**2 + 0 - 1/5*p**4 - p**3.
-p**3*(p + 5)/5
Let j(t) = -t**3 - 8*t**2 - 2*t - 16. Let p be j(-8). Let h = 5 - 2. Determine z, given that -12*z**3 + 16*z**2 + 38*z + 12 + 2*z**3 + p*z**h = 0.
-1, -2/5, 3
Let o(d) = 3*d**4. Let a(w) = -11*w**4 + 35*w**3 - 75*w**2 + 45*w. Let r(i) = a(i) + 2*o(i). Find n such that r(n) = 0.
0, 1, 3
Let n = 28882 + -28878. Let 3/7*o**5 + 0 + 0*o - 9/7*o**n - 3/7*o**2 + 9/7*o**3 = 0. What is o?
0, 1
Suppose 2*k + 5/2 - 1/2*k**2 = 0. Calculate k.
-1, 5
Let k = -105271/9 - -11697. Solve 2/9 + 0*t - k*t**2 = 0 for t.
-1, 1
Suppose -1/2*d**2 + 0 - 1/2*d**3 + 1/2*d**5 + 0*d + 1/2*d**4 = 0. Calculate d.
-1, 0, 1
Let p(a) be the third derivative of 9*a**8/56 + 9*a**7/70 + a**6/40 - 13*a**2 + 2. Let p(k) = 0. Calculate k.
-1/3, -1/6, 0
Let d(r) be the first derivative of r**6/9 - 38*r**5/15 + 119*r**4/6 - 658*r**3/9 + 136*r**2 - 120*r - 254. Find u, given that d(u) = 0.
1, 2, 3, 10
Let w(l) be the first derivative of 2/3*l**3 - 1/6*l**4 + 22 + 0*l - 1/9*l**6 - 2/5*l**5 + 2/3*l**2. Let w(n) = 0. Calculate n.
-2, -1, 0, 1
Let s = 109 + -100. Suppose 4*c - 2*c + 4*z - 18 = 0, 0 = 3*z - s. Factor 0*b**2 - 2/5 + 2/5*b**4 - 4/5*b**c + 4/5*b.
2*(b - 1)**3*(b + 1)/5
Factor -9*t**2 - 61*t**3 - 39*t**3 - 28*t**2 - 23*t**2 - 15*t**4.
-5*t**2*(t + 6)*(3*t + 2)
Let w be 82/(-533) - (2 + 334/(-143)). Factor 18/11 + 12/11*v + w*v**2.
2*(v + 3)**2/11
Let q = -86 + 89. Let g be 1/q - (-15)/(-45). Find x, given that 2/5*x - 1/5*x**4 + 1/5 + g*x**2 - 2/5*x**3 = 0.
-1, 1
Let a(v) be the first derivative of 0*v**5 - 5 + 1/33*v**4 - v + 0*v**3 - 1/11*v**2 - 1/165*v**6. Let j(h) be the first derivative of a(h). Factor j(c).
-2*(c - 1)**2*(c + 1)**2/11
Suppose -5*z - 3 = -6*z. Factor o**5 + 0*o**3 + 0*o**5 + 3*o**z + o**4 - 5*o**3.
o