*3/15 - 12*b**2/5 + 316*b. Factor z(t).
-2*(t - 1)**2*(t + 12)/5
Let q = 1926 + -5738/3. Let p(a) be the second derivative of 5/6*a**6 + 0 - 8*a**2 - 4*a - a**5 + q*a**3 - 8*a**4. Factor p(d).
(d - 2)*(d + 2)*(5*d - 2)**2
Let z(l) be the first derivative of 2*l**3/21 - 37*l**2/7 - 76*l/7 - 176. Find g such that z(g) = 0.
-1, 38
Suppose 13*w - 52 = 11*w. Factor 40*t**3 + 13*t + 12*t**4 + 48*t**2 + 4 - 15*t + w*t.
4*(t + 1)**3*(3*t + 1)
Let u = 226 + -224. Let t(v) be the first derivative of -6/5*v**5 + 17/2*v**4 + 14/3*v**3 - 3*v**6 + 10 - 8*v**u - 8*v. Let t(g) = 0. What is g?
-1, -2/3, 1
Let b(t) = -8*t**4 + 118*t**3 - 1169*t**2 + 3461*t - 3077. Let p(a) = 9*a**4 - 120*a**3 + 1170*a**2 - 3462*a + 3078. Let m(z) = 6*b(z) + 5*p(z). Factor m(y).
-3*(y - 16)**2*(y - 2)**2
Let g = -40 + 43. Suppose g*c - 15 = -3*v, -5 = -5*v + v - c. Determine j, given that v*j + 0*j**2 - 1/3*j**4 + 0 - 1/3*j**3 = 0.
-1, 0
Suppose -3*x = -4*y - y - 36, 5*x + 14 = -4*y. Determine o, given that -64/5*o + 4/5 - 45*o**3 + 57*o**x = 0.
2/15, 1
Let o(f) be the first derivative of -2/3*f**6 + 4*f - 11 + 2*f**4 - 8/3*f**3 + 4/5*f**5 - 2*f**2. Let o(v) = 0. Calculate v.
-1, 1
Find f, given that 12/7*f**3 - 16/7*f**2 + 0 - 48/7*f + 4/7*f**4 = 0.
-3, -2, 0, 2
Let f(p) be the third derivative of 0*p + 0*p**3 + 0 - 1/42*p**7 - 5/24*p**4 + 1/12*p**5 + 1/24*p**6 - 4*p**2. Find k such that f(k) = 0.
-1, 0, 1
Suppose 25*n + 2*t - 12 = 23*n, -3*n + 4*t = -4. Factor -4/3*o**4 - 20/3*o + n*o**2 + 4/3*o**3 + 8/3.
-4*(o - 1)**3*(o + 2)/3
Let b(i) be the first derivative of -1/6*i**4 - 7*i + 1/10*i**5 + 0*i**2 - 2 - 2/3*i**3. Let m(j) be the first derivative of b(j). Factor m(w).
2*w*(w - 2)*(w + 1)
Let h(l) be the first derivative of -l**3/3 - 22*l**2 - 43*l + 139. Factor h(s).
-(s + 1)*(s + 43)
Let 85*a + 89 - 75 - 35*a**3 - 44 + 80*a**2 = 0. Calculate a.
-1, 2/7, 3
Suppose 2*d = -86 + 94. Let h(c) be the second derivative of -1/48*c**d + 0 - 1/8*c**2 - 1/12*c**3 + 3*c. Factor h(l).
-(l + 1)**2/4
Suppose 1472*u - 1468*u = -4*k + 56, -102 = -3*k - 8*u. Let x(o) = o + 8. Let n be x(-5). Solve 0 + 0*p**n + 0*p**k + 0*p - 2/3*p**4 = 0.
0
Let b = -656/9207 + 2/297. Let u = b - -258/155. Factor -2/5*n**2 - 8/5 + u*n.
-2*(n - 2)**2/5
Let o(s) = s**2 - 8*s - 13. Let q(y) = -y**2 - 3*y. Let k(b) = 3*o(b) + 6*q(b). Factor k(a).
-3*(a + 1)*(a + 13)
Let p(t) be the first derivative of 9*t**7/280 + t**6/6 + 13*t**5/40 + t**4/4 + 13*t**3/3 + 9. Let y(c) be the third derivative of p(c). Factor y(w).
3*(w + 1)**2*(9*w + 2)
Let x be (-7 + 11)*(1 - 0) - -22. Suppose -4*h + 17*h - x = 0. Determine g so that -2/3*g**h - 4/3*g + 4/3*g**3 + 0 + 2/3*g**4 = 0.
-2, -1, 0, 1
Let d(q) = q**4 + q**3 - q - 1. Let n(w) = -4*w**4 - 40*w**3 - 102*w**2 + 7*w + 139. Let v(i) = -3*d(i) - n(i). Factor v(c).
(c - 1)*(c + 2)**2*(c + 34)
Let a(z) = -9*z**3 + 168*z**2 - 187*z + 32. Let j(m) = 54*m**3 - 1010*m**2 + 1121*m - 191. Let u(p) = -39*a(p) - 6*j(p). What is i in u(i) = 0?
2/9, 1, 17
Let f(x) be the second derivative of -x**6/90 + x**5/20 + 4*x**4/9 + 2*x**3/3 - 9*x + 18. Solve f(i) = 0.
-2, -1, 0, 6
Let x(o) = o**3 + 15*o**2 + 2. Let g be 10/(-2) - (0 - 2) - 12. Let b be x(g). Let 0 + d - 2*d**3 + 3/2*d**4 - 1/2*d**b = 0. What is d?
-2/3, 0, 1
Let j = 12215/6 + -2035. Factor 5/6 - 5/2*p**5 - 55/6*p**4 - 35/3*p**3 - 5*p**2 + j*p.
-5*(p + 1)**4*(3*p - 1)/6
Let u(l) be the first derivative of -24 + 0*l - 4*l**2 - 4/3*l**3. Factor u(f).
-4*f*(f + 2)
Suppose -4*c = 3*a - 40, 2*a = 4*a. Solve -3*j + 18*j - c - 14*j**3 - j**3 + 35*j**2 - 25*j**4 = 0.
-1, 2/5, 1
Suppose -3 = -3*n + 3. Let q(d) = -2*d**3 + 7*d**2 - 10*d + 29. Let i be q(3). Suppose -n*w + 2*w**2 - i*w + 6 + 18*w = 0. Calculate w.
-3, -1
Let s(y) be the first derivative of 4*y - 1/45*y**5 + 0*y**2 + 1/54*y**4 - 1/135*y**6 - 2 + 2/27*y**3. Let b(t) be the first derivative of s(t). Factor b(g).
-2*g*(g - 1)*(g + 1)*(g + 2)/9
Factor -2*r**2 + 5*r + 5*r + 4*r**2 + 9 - 29 + 8.
2*(r - 1)*(r + 6)
Let y(l) = -2*l**3 - 31*l**2 - 88*l + 58. Let x(c) = -4*c**3 - 62*c**2 - 172*c + 115. Let r(q) = 6*x(q) - 13*y(q). Determine n, given that r(n) = 0.
-8, 1/2
Suppose 2/3*m**4 + 2*m**3 + 2/3*m**2 - 2*m - 4/3 = 0. What is m?
-2, -1, 1
Let n be (-1 + 2)/(-5) - 6536/(-430). Let h(j) be the first derivative of n*j**2 - 45*j + 8 - 5/3*j**3. Solve h(c) = 0 for c.
3
Let o(r) be the third derivative of 25/6*r**3 + 1/20*r**5 - r**2 + 5/8*r**4 + 0 + 0*r + 1/600*r**6. Find s, given that o(s) = 0.
-5
Let n(v) = 10*v**4 - 925*v**3 - 5735*v**2 - 13795*v - 10715. Let p(c) = -c**4 + 84*c**3 + 521*c**2 + 1254*c + 974. Let m(y) = -6*n(y) - 65*p(y). Solve m(h) = 0.
-7, -2
Suppose -4*a - 5*q + 3*q = -14, 0 = a + 5*q - 17. Factor 8*n**4 + 65*n**2 + 8*n - 156*n**2 + 4*n**3 + 71*n**a.
4*n*(n - 1)*(n + 2)*(2*n - 1)
Let c(h) = -5*h**3 + 10*h**2 + 5*h - 5. Let p(t) = 2*t - 15. Let y be p(6). Let w(q) = 2*q**3 - 5*q**2 - 3*q + 3. Let k(n) = y*c(n) - 5*w(n). Factor k(r).
5*r**2*(r - 1)
Let u = -1267 - -6337/5. Factor -16/5 + 24/5*s + u*s**3 - 12/5*s**2.
2*(s - 2)**3/5
Let r(v) = 10*v**2 + 7*v - 19. Let y be r(5). Let l = -264 + y. Suppose 0 - 1/3*f**l + 1/6*f**3 - 1/2*f = 0. Calculate f.
-1, 0, 3
Let h(i) be the second derivative of i**4/54 - 26*i**3/27 + 169*i**2/9 + 44*i + 2. Solve h(p) = 0 for p.
13
Find u, given that 3 + 12/5*u - 3/5*u**2 = 0.
-1, 5
Let v(w) be the third derivative of w**5/40 - 45*w**4/16 + 11*w**3 + 201*w**2. Factor v(q).
3*(q - 44)*(q - 1)/2
Let j(z) = z**3 + 2*z**2 - 17*z. Let i(q) = -2*q**3 - 4*q**2 + 35*q. Let t(o) = -2*i(o) - 5*j(o). Solve t(c) = 0.
-5, 0, 3
Let u(g) be the third derivative of 1/8*g**6 - 5/336*g**8 + 1/42*g**7 - 5/12*g**5 + 0*g**3 + 0*g + 0 + 5/12*g**4 + 12*g**2. Determine b so that u(b) = 0.
-2, 0, 1
Let o(c) be the third derivative of -c**5/540 - c**4/9 - 8*c**3/3 - 44*c**2 + c. Find q such that o(q) = 0.
-12
Let l(u) = -25*u**3 + 103*u**2 - 146*u - 256. Let x(f) = -8*f**3 + 2*f**3 - 36*f + 26*f**2 - 123 + 59. Let j(n) = -2*l(n) + 9*x(n). Factor j(w).
-4*(w - 4)**2*(w + 1)
Let o(j) be the first derivative of -j**7/840 - j**6/144 - j**5/120 - 5*j**3/3 - 9. Let n(c) be the third derivative of o(c). Determine a, given that n(a) = 0.
-2, -1/2, 0
Let m = -1474/9 - -164. Let w(j) be the second derivative of 1/6*j**4 + 7/27*j**3 + m*j**2 + 1/135*j**6 + 0 + 1/18*j**5 + j. Find z, given that w(z) = 0.
-2, -1
Factor -70 + 80 - 154 - 4*b**2 - 60*b.
-4*(b + 3)*(b + 12)
Let w(y) be the second derivative of -8*y - 4 + 1/18*y**4 - 5/9*y**3 + 2*y**2. Factor w(c).
2*(c - 3)*(c - 2)/3
Suppose -15 = -9*r - 123. Let h be (-54)/4*(r/(-18))/(-2). Find f such that -h*f + 9/2*f**3 - 3*f**2 + 3 = 0.
-1, 2/3, 1
Let b(j) be the second derivative of -5*j**4/12 - 5*j**3/2 - 5*j**2 + 13*j + 4. What is u in b(u) = 0?
-2, -1
Let m(r) be the first derivative of 5*r**3/3 - 10*r**2 + 15*r - 69. Determine g, given that m(g) = 0.
1, 3
Let p = -4311/4 + 1078. Let s(n) be the second derivative of n**3 + p*n**4 + 3/2*n**2 - 9*n + 0. Let s(c) = 0. Calculate c.
-1
Solve 72/5 - 48/5*w + 2/5*w**4 + 8/5*w**3 - 34/5*w**2 = 0.
-6, -2, 1, 3
Factor -28*t**3 + 150*t + 16*t**2 - 154*t + 6*t**2.
-2*t*(2*t - 1)*(7*t - 2)
Let n(i) = -3*i**2 - 195*i + 2. Let h be n(-65). Find t, given that -t - 3/4 - 1/4*t**h = 0.
-3, -1
Factor 6*t**3 - 45 - 7*t**2 - 72*t + 45 + 74*t.
t*(2*t - 1)*(3*t - 2)
Suppose -8 = -6*w + 22. Let 95 - 3*u + 5*u**3 + 0*u - w*u**2 - 90 - 2*u = 0. Calculate u.
-1, 1
Let i be (-52)/20 - -3 - 13/(-5). Let c(y) be the first derivative of -1/7*y**2 + 4 + 2/21*y**i + 0*y. Let c(z) = 0. Calculate z.
0, 1
Determine q, given that 27/2*q**3 + 57/2*q + 51*q**2 - 9 = 0.
-3, -1, 2/9
Let a be (8/9 + 0)*(-117)/(-26). Determine s, given that -4/5*s**a + 0 + 4/5*s + 12/5*s**3 - 12/5*s**2 = 0.
0, 1
Let m(i) be the second derivative of -i**5/80 - i**4/48 + i**3/6 + i**2/2 + 82*i. Let m(y) = 0. What is y?
-2, -1, 2
Let k be (-1 + 1)*(-13)/52. Suppose k = -n + 13*u - 9*u - 10, 0 = -4*n + 4*u - 4. Determine a so that 2/7*a**n + 0 + 2/7*a = 0.
-1, 0
Let o(d) be the first derivative of -d**7/21 + d**6/15 + d**5/10 - d**4/6 + 11*d - 6. Let b(m) be the first derivative of o(m). Factor b(a).
-2*a**2*(a - 1)**2*(a + 1)
Let p(n) be the third derivative of n**8/4032 + n**7/252 + n**6/36 + n**5/6 - 5*n**2. Let o(a) be 