**3 + 0*f**2 + 6*f - 1/6*f**6 + 0 + 0*f**4 - x*f**5. Suppose a(u) = 0. Calculate u.
-1, 0
Let i(y) = -y + 1. Let b(q) = -2*q - 13. Let r(m) = -b(m) + 3*i(m). Let z be r(9). Factor 0 - 8*s**3 + 0 + z*s**3 - s**2.
-s**2*(s + 1)
Determine f so that -78/7*f**3 - 141/7*f - 6/7*f**4 - 24*f**2 - 6 + 3/7*f**5 = 0.
-2, -1, 7
Let n = -3 + 2. Let u(q) be the third derivative of -q**4/24 - q**3/6 + q**2 + 6*q. Let d(j) = -4*j**2 - 10*j - 6. Let b(a) = n*d(a) + 10*u(a). Solve b(f) = 0.
-1, 1
Suppose -4*w + 3*w + 3*n = -3, 0 = 4*w - 4*n - 36. Let x = 12 - w. Factor -1/7*f**2 + 2/7*f + x - 5/7*f**4 - 8/7*f**3.
-f*(f + 1)**2*(5*f - 2)/7
Let c(w) be the second derivative of 0*w**3 - 3/4*w**4 - 3/20*w**5 + 0 + 0*w**2 - 3*w. Factor c(n).
-3*n**2*(n + 3)
Let i(p) be the third derivative of p**8/672 + p**7/126 + p**6/80 + p**5/180 + p**2 - 38*p. Let i(n) = 0. Calculate n.
-2, -1, -1/3, 0
Let l(y) be the second derivative of y**6/30 - y**5/12 - y**4/36 + 5*y**3/18 - y**2/3 + 106*y. Suppose l(i) = 0. Calculate i.
-1, 2/3, 1
Let j(o) be the third derivative of 1/735*o**7 + o**2 + 0*o**3 - 1/42*o**4 - 1/210*o**5 + 0 + 1/210*o**6 + 0*o. Solve j(m) = 0.
-2, -1, 0, 1
Let t(f) = f**3 + 9*f**2 + 56*f + 297. Let j be t(-7). Solve 4/5 - 6/5*x**4 + 29/5*x**j + 16/5*x - 43/5*x**2 = 0.
-1/6, 1, 2
Suppose -107 - 328 = -168*a - 99. Factor -1/6*n + 1/6*n**3 + 1/6 - 1/6*n**a.
(n - 1)**2*(n + 1)/6
Suppose 0 = -2*x + 4*v, -4*x + 8*x - 4*v - 12 = 0. Suppose -x*r + 20 = -r. Factor -1/2 + 11/2*h**3 + 1/2*h + 2*h**r + 9/2*h**2.
(h + 1)**3*(4*h - 1)/2
Let m(w) be the first derivative of w**5/20 - w**4/6 - w**3/2 + 15*w - 10. Let o(r) be the first derivative of m(r). Find q such that o(q) = 0.
-1, 0, 3
Factor -21*k**4 + 4*k**5 - k**5 + 129400*k + 12*k**2 + 36*k**3 - 129448*k.
3*k*(k - 4)*(k - 2)**2*(k + 1)
Let t(k) = 9*k**3 - 33*k**2 - k + 29. Let x(y) = -8*y**3 + 31*y**2 + 2*y - 28. Let u(b) = 3*t(b) + 4*x(b). Factor u(i).
-5*(i - 5)*(i - 1)*(i + 1)
Find j such that -453/4*j**2 - 75/4 + 135/4*j**3 + 405/4*j - 3*j**4 = 0.
1/4, 1, 5
Let w(p) be the second derivative of p**6/200 - p**5/100 - p**4/40 + p**3/10 + 7*p**2/2 - 10*p. Let t(h) be the first derivative of w(h). Factor t(f).
3*(f - 1)**2*(f + 1)/5
Let u(k) be the third derivative of -k**5/20 + 9*k**4/2 - 162*k**3 - 91*k**2 + 2*k. Factor u(p).
-3*(p - 18)**2
Let j = 10 + -7. Determine k so that 16*k**2 - 25*k**j + 2*k + 0*k - 6*k + 16*k**4 - 4*k**5 + k**3 = 0.
0, 1
What is o in -94/9 - 2/3*o**3 + 2/3*o + 94/9*o**2 = 0?
-1, 1, 47/3
Let k(y) be the first derivative of -y**7/2520 + y**6/360 + 10*y**3/3 + 31. Let d(c) be the third derivative of k(c). Factor d(v).
-v**2*(v - 3)/3
Let j(u) be the first derivative of 3*u**4/20 - 4*u**3/5 - 3*u**2/10 + 12*u/5 - 337. Factor j(l).
3*(l - 4)*(l - 1)*(l + 1)/5
Suppose -1991 + 759 = 5*b + s, 0 = 3*b - 2*s + 747. Let k = b + 252. Find g, given that -14/5*g**3 + 0 + 24/5*g**k + 14/5*g**4 + 0*g - 4/5*g**2 = 0.
-1, -1/4, 0, 2/3
Let z be 1372/588 + (-1)/(-6). Factor 0 - z*p + 5/2*p**2.
5*p*(p - 1)/2
Let u = 100 + -92. Suppose -g + 13 = a + u, 0 = g + 5*a - 17. Determine t, given that 0*t**3 + 0 + 2/3*t**g - 2/3*t**4 + 0*t = 0.
-1, 0, 1
Let q(w) be the second derivative of 17*w + 0 + 3/7*w**2 + 3/140*w**5 + 1/7*w**4 + 5/14*w**3. Factor q(j).
3*(j + 1)**2*(j + 2)/7
Suppose 74/11*i**4 + 128/11*i**3 + 10/11*i**5 + 40/11*i**2 + 0*i + 0 = 0. What is i?
-5, -2, -2/5, 0
Let t(k) be the second derivative of 0*k**2 + 6*k - 1/180*k**6 + 1/126*k**7 + 0 - 1/40*k**5 + 1/36*k**3 + 1/72*k**4. Suppose t(l) = 0. Calculate l.
-1, -1/2, 0, 1
Let s(q) be the first derivative of 6*q**2 - 4/3*q**3 + 17 - 9*q. Find c, given that s(c) = 0.
3/2
Let f(y) be the first derivative of -y**4/96 - y**3/24 - 3*y + 27. Let j(u) be the first derivative of f(u). Suppose j(n) = 0. What is n?
-2, 0
Determine i, given that 0 - 218/13*i + 2/13*i**2 = 0.
0, 109
Let -48/7*l**2 + 0 + 0*l - 15/7*l**4 - 3/7*l**5 + 66/7*l**3 = 0. Calculate l.
-8, 0, 1, 2
Let t(o) be the second derivative of o**5/20 + 5*o**4/6 - o**3/6 - 2*o**2 + o. Let c be t(-10). Factor 105*v - 9*v**5 - c*v**2 - 105*v - 21*v**3 - 24*v**4.
-3*v**2*(v + 1)**2*(3*v + 2)
Let -560*u + 283*u + 3*u**2 + 301*u = 0. Calculate u.
-8, 0
Let u(v) be the second derivative of v**7/70 - 9*v**5/50 + 2*v**4/5 - 3*v**3/10 + 6*v - 6. Find l such that u(l) = 0.
-3, 0, 1
Let q(y) be the first derivative of 3*y**5/5 - 20. Factor q(j).
3*j**4
Determine q, given that -3/7*q**2 + 15*q + 108/7 = 0.
-1, 36
Let s(r) be the third derivative of r**5/240 + 5*r**4/24 - 7*r**3/8 - 2*r**2 - 87. Find z, given that s(z) = 0.
-21, 1
Let i = 358/495 - 32/99. What is b in 0 - i*b**3 - 2/5*b**4 + 0*b + 4/5*b**2 = 0?
-2, 0, 1
Let j(i) be the second derivative of -i**4/36 - 11*i**3/18 - 3*i**2 + i - 13. Find f such that j(f) = 0.
-9, -2
Let n(x) be the third derivative of -3*x**6/40 + x**5/30 + 3*x**4/8 - x**3/3 + 2*x**2 - 8. What is a in n(a) = 0?
-1, 2/9, 1
Let s(m) be the third derivative of -m**6/200 + m**5/5 + 67*m**4/40 + 23*m**3/5 - 446*m**2. Factor s(i).
-3*(i - 23)*(i + 1)*(i + 2)/5
What is l in -110*l**2 + 11*l**2 - 152*l - 2*l**5 + 35*l**4 - 143*l**3 + 233*l = 0?
-1, 0, 1/2, 9
Let z be (6/(-11))/(783/(-1914)). Suppose -5*a + 2*s + 20 = 0, 3*s = 2*a - 27 + 8. What is d in -z - 2/3*d**2 - a*d = 0?
-2, -1
Determine z, given that 885*z - 294 - 26*z**2 + 13*z**2 + 6*z**2 - 2*z**2 = 0.
1/3, 98
Suppose 7*d - 9*d = -6. Factor 30*o - 64*o + 3*o**4 - 6*o**3 - d*o**2 + 40*o.
3*o*(o - 2)*(o - 1)*(o + 1)
Find p, given that -3/2*p**2 - 18*p - 33/2 = 0.
-11, -1
Let n(d) = -d**2 - 6*d + 10. Let j be ((-65)/25 + 4)*-5. Let b be n(j). Factor -1/5*o**4 - 1/5*o + 1/5*o**2 + 1/5*o**b + 0.
-o*(o - 1)**2*(o + 1)/5
Let y(a) be the second derivative of a**7/525 - a**6/75 + 2*a**5/75 - 8*a**2 + 32*a. Let c(k) be the first derivative of y(k). What is o in c(o) = 0?
0, 2
Suppose 8/17*h**2 - 142/17*h - 36/17 = 0. Calculate h.
-1/4, 18
Solve 348 + 0*m**3 - 775*m + 295 - 133 - 5*m**3 - 24*m**2 + 294*m**2 = 0 for m.
1, 2, 51
Factor 175*y**2 - 37*y + 157*y + 3*y**3 - 156*y**2 - 4*y**3 + 0*y**3.
-y*(y - 24)*(y + 5)
Suppose 5*s + 5*b - 10 = 0, -2*s - 3*s - 2*b = -10. Suppose 5*g = 31 + 34. Factor g*m**s - 2*m + 3*m - m**3 + 2 - 15*m**2.
-(m - 1)*(m + 1)*(m + 2)
Let q(r) be the second derivative of -1/9*r**4 - 2/3*r**2 + 0 + 22*r - 5/9*r**3. What is t in q(t) = 0?
-2, -1/2
Factor -841/5 - 1/5*p**2 + 58/5*p.
-(p - 29)**2/5
Determine x, given that 10/7*x**5 - 44/7*x**3 + 6/7*x**4 + 16/7*x - 24/7*x**2 + 0 = 0.
-2, -1, 0, 2/5, 2
Suppose 7*w**3 - 8*w - 31 + 23*w**2 - 7*w**4 - 4*w**5 + 5*w**5 + 15 = 0. What is w?
-1, 1, 4
Factor -85 + 57*u + 22*u - 169*u + 5*u**2 - 115.
5*(u - 20)*(u + 2)
Find n, given that -2/11*n**2 - 2/11*n**3 + 0 + 2/11*n**4 + 2/11*n = 0.
-1, 0, 1
Let f(o) be the second derivative of -o**5/40 - 5*o**4/4 - 222*o. Let f(u) = 0. What is u?
-30, 0
Let i(b) be the second derivative of -b**5/40 - b**4/24 + 23*b + 1. What is j in i(j) = 0?
-1, 0
Factor -1875/7 + 150/7*v - 3/7*v**2.
-3*(v - 25)**2/7
Let m = -1455/14 + 9881/42. Let s = -131 + m. Factor 2*z**3 - 4*z**2 + 0 + 8/3*z - s*z**4.
-z*(z - 2)**3/3
Factor 1/3*h**3 + 16/3*h**2 + 77/3*h + 98/3.
(h + 2)*(h + 7)**2/3
Let d(v) be the second derivative of 7*v**6/15 - 5*v**5/12 - 67*v**4/36 + v**3/2 + 3*v**2/2 + 65*v - 2. Solve d(b) = 0 for b.
-1, -1/3, 3/7, 3/2
Let k = -17 + 20. Suppose -m - m + 6 = s, -10 = -4*m - k*s. Solve -9 + 9 - 4*j**4 + 8*j**3 - m*j**2 = 0.
0, 1
Let j = -25 - -31. Factor 4*u**5 + j - 6*u**2 + 4*u**3 - 5*u**3 - 11*u**3 - u**5 + 9*u.
3*(u - 2)*(u - 1)*(u + 1)**3
Suppose -w + 8*o = 5*o - 519, -2*w = -5*o - 1035. Let p = w - 3554/7. Factor 0 - 18/7*h**4 - 6/7*h**3 + p*h**2 + 8/7*h.
-2*h*(h - 1)*(3*h + 2)**2/7
Let a = 84 + -78. Let m be (-156)/(-30) - a - 12/(-10). Factor 0*p**2 + 0*p + m*p**4 + 0 - 2/5*p**3.
2*p**3*(p - 1)/5
Let t(j) = -2*j**2 + 3 - j - j + j**2 + 3*j**2. Let u(b) = -3*b**2 + 3*b - 5. Let d be ((-1)/3)/((-2)/(-30)). Let c(x) = d*t(x) - 3*u(x). Factor c(o).
-o*(o - 1)
Let v be 1/((-91)/(-759) + (-3)/33). Solve -3*d - v*d**4 + 0 - 39/2*d**2 - 21/2*d**5 - 81/2*d**3 = 0.
-1, -2/7, 0
Let q(a) be the first derivative of -2/15*a**3 + 3/5*a**2 + 8/5*a + 1. Find k, given that q(k) = 0.
-1, 4
Let v(c) be the second derivative of 0 - 18*c**2 + 6*c - 1/3*c**4 