ve of 1/5*s**5 + 0 + 0*s**6 + 0*s**3 - 2/21*s**7 + 0*s**4 + 0*s**2 + 7*s. Factor i(c).
-4*c**3*(c - 1)*(c + 1)
Let r be 1/((-32)/(-72)) - 51/(-340). Suppose 3 + 0 = s. Factor -6/5 - 3*a - r*a**2 - 3/5*a**s.
-3*(a + 1)**2*(a + 2)/5
Suppose -5*h + 28 = 2*g + 3, 0 = 5*h + g - 25. Suppose 9 = 2*m + h. Factor 2*b**2 - 7*b**m + 9 + 2*b**2 + 9*b - 3*b.
-3*(b - 3)*(b + 1)
Let t(y) be the second derivative of y**5/3 + 35*y**4/24 - 5*y**3/3 - 37*y**2/2 - 10*y. Let n(a) be the first derivative of t(a). Let n(c) = 0. What is c?
-2, 1/4
Let p = 4876 - 4876. Find k such that p + 2/11*k**2 + 6/11*k = 0.
-3, 0
Let x be 2*1 + (-32)/12 - (-341)/66. Determine n so that -2*n - n**4 - x*n**3 + 0 + 6*n**2 + 3/2*n**5 = 0.
-2, 0, 2/3, 1
Let p(z) be the first derivative of z**5/80 - 2*z**2 - 4*z - 2. Let u(f) be the first derivative of p(f). Let x(y) be the first derivative of u(y). Factor x(w).
3*w**2/4
Let l = -3/59 - -127/177. Let z(q) be the first derivative of l*q**3 + 0*q**2 - 13 - 2*q. Determine u so that z(u) = 0.
-1, 1
Suppose y - 36 + 20 = 0. Let b be y/(-72) - (-24)/27. Factor 2/3*c**3 - 2/3*c - b + 2/3*c**2.
2*(c - 1)*(c + 1)**2/3
Solve -24*i**2 + 0 + 30*i + 3/2*i**4 + 3/2*i**3 = 0 for i.
-5, 0, 2
Let s(t) be the second derivative of -t**4/28 - 5*t**3/7 - 74*t. Factor s(x).
-3*x*(x + 10)/7
Let a = 326221 - 1625986/5. Let d = a + -1019. Factor 1/5 + 9/5*v + 16/5*v**3 + d*v**2.
(v + 1)*(4*v + 1)**2/5
Let x = -4175 + 4177. Solve 3*v**4 + 60/7*v + 24/7 - 90/7*v**x - 15/7*v**3 = 0.
-2, -2/7, 1, 2
Suppose 90*t - 21 = 101 + 148. Factor -45/2*w**2 - 27/2*w**t + 0 - 3/2*w**4 + 75/2*w.
-3*w*(w - 1)*(w + 5)**2/2
Suppose 42 = 5*d - 4*o, 3*o - 7 + 4 = -2*d. Suppose d*g - 45 = -27. Factor 0 + 2/7*k - 2/7*k**g + 2/7*k**4 - 2/7*k**2.
2*k*(k - 1)**2*(k + 1)/7
Factor 2/11*v**3 + 14/11*v**2 - 80/11*v + 8.
2*(v - 2)**2*(v + 11)/11
Let g(m) be the first derivative of -4*m**5/5 - 5*m**4 + 4*m**3/3 + 34*m**2 - 48*m + 164. Factor g(h).
-4*(h - 1)**2*(h + 3)*(h + 4)
Let c(d) = d + 11. Let z be c(0). Let b = -11 + z. Factor -5*q + 3*q**3 + 3*q**2 + b*q**4 - 3*q**4 + 2*q.
-3*q*(q - 1)**2*(q + 1)
Let j(l) be the second derivative of -l**5/40 + 5*l**4/3 + 83*l**3/12 + 21*l**2/2 - 3*l + 73. Find y, given that j(y) = 0.
-1, 42
Factor 2/3*x**2 - 60*x - 182/3.
2*(x - 91)*(x + 1)/3
Let h = 1395 + -1393. Factor 2/3*u + 0 - 3*u**h.
-u*(9*u - 2)/3
Suppose 5*r + 4 - 24 = q, -5*q - 22 = r. Factor -21*f**3 - 7*f**5 + 25*f**4 + 13*f**2 + 7*f**2 + 2*f**5 - 19*f**r.
-5*f**2*(f - 2)**2*(f - 1)
Let s = 48 + -45. Suppose -s*i + 6*i = 0. Solve i*d**2 + 1/2*d**3 - 1/2*d + 0 = 0.
-1, 0, 1
Let d be -9*((-2)/6 + 0*(-7)/56). Let 2/13*z + 2/13*z**2 - 2/13 - 2/13*z**d = 0. What is z?
-1, 1
Let i(p) be the third derivative of p**8/4200 - p**7/2100 - p**6/900 + p**5/300 - 5*p**3/6 - 4*p**2. Let b(r) be the first derivative of i(r). Solve b(z) = 0.
-1, 0, 1
Let s(r) be the third derivative of r**7/1155 + r**6/165 + r**5/330 - r**4/22 + 63*r**2 - 1. Find q such that s(q) = 0.
-3, -2, 0, 1
Let k = -73 + 168. Let m = -379/4 + k. Factor m*u**2 - 3/2*u + 9/4.
(u - 3)**2/4
Let d(z) be the third derivative of 0*z - 18*z**2 - 7/240*z**4 + 0 - 1/240*z**6 + 1/2100*z**7 + 1/30*z**3 + 3/200*z**5. Determine s, given that d(s) = 0.
1, 2
Let p be (1 + 0)/(15/45). Let u = 11 + -7. Find i such that -5*i - 4*i**p - 3*i + 5*i**2 + 4 - i**3 + u*i**3 = 0.
1, 2
Let f(k) be the second derivative of k**4/66 + 7*k**3/33 - 4*k**2 - 432*k. Factor f(b).
2*(b - 4)*(b + 11)/11
Let x = -410 - -242. Let r be x/(-22) - 138/23. Solve -r*w**2 - 2/11*w**3 - 54/11 - 54/11*w = 0.
-3
Let p(z) be the first derivative of z**6/30 - z**5/15 - z**4/6 + 2*z**3/3 - 17*z**2/2 + 7. Let w(c) be the second derivative of p(c). Factor w(f).
4*(f - 1)**2*(f + 1)
Factor -2/7*n**3 + 26/7*n**2 - 24/7*n + 0.
-2*n*(n - 12)*(n - 1)/7
Let s = -88 + 98. Solve -20 + 28 + s*v - 42*v + 14*v**2 = 0 for v.
2/7, 2
Let r = -406 - -2062/5. Let -8/5 - 14/5*p**2 - r*p = 0. Calculate p.
-2, -2/7
Factor 14*v**2 + 26*v - 48 - 5*v**2 + 9*v**2 + 2*v + 2*v**3.
2*(v - 1)*(v + 4)*(v + 6)
Let t be 684/10 + 14 + -12 - -2. Let d = 73 - t. Solve -6/5*g**2 + 3/5*g**4 + 3/5 - 3/5*g - d*g**5 + 6/5*g**3 = 0.
-1, 1
Let g(d) be the second derivative of d**6/900 - d**4/15 - 7*d**3/3 + 25*d. Let t(y) be the second derivative of g(y). Factor t(a).
2*(a - 2)*(a + 2)/5
Let f(d) be the third derivative of -5*d**8/252 + d**7/15 - d**6/18 - d**5/30 + d**4/18 + 65*d**2. Find w such that f(w) = 0.
-2/5, 0, 1/2, 1
Factor -9*g**3 + 2052*g + 90*g**3 - 972 - 3*g**4 + 33*g**3 - 1191*g**2.
-3*(g - 18)**2*(g - 1)**2
Factor -16/3 + 22/3*f**2 - 28*f.
2*(f - 4)*(11*f + 2)/3
Let x(p) be the second derivative of p**6/195 + p**5/13 + 11*p**4/26 + 12*p**3/13 - 40*p + 2. Factor x(u).
2*u*(u + 3)**2*(u + 4)/13
Let l(x) be the second derivative of x**6/105 + 3*x**5/7 - 34*x**4/7 + 424*x**3/21 - 288*x**2/7 - 42*x. Factor l(r).
2*(r - 2)**3*(r + 36)/7
Let p(n) be the second derivative of 0 + 10/3*n**3 - 10*n**2 - 1/2*n**5 - 1/6*n**6 + 18*n + 5/4*n**4. Factor p(r).
-5*(r - 1)**2*(r + 2)**2
Let j be -2*(-6)/(-3) - -6. Factor -2/9*h**j + 4/9*h - 2/9.
-2*(h - 1)**2/9
Let w(f) be the second derivative of f**5/90 - f**4/18 + 3*f**2 + f. Let u(d) be the first derivative of w(d). Factor u(i).
2*i*(i - 2)/3
Let v(l) = 2*l + 22. Let f be v(-8). Let 6*k**5 - 8*k - k**5 + 35*k + 48*k**2 + f + 42*k**3 - 2*k**5 + 18*k**4 = 0. What is k?
-2, -1
Suppose 0 = -26*u + 20*u + 36. Let z(m) be the first derivative of -1/3*m**3 + 0*m + u + 1/2*m**2. Factor z(c).
-c*(c - 1)
Find b such that 6/5*b**3 - 9/5*b + 3/5 + 6/5*b**2 - 9/5*b**4 + 3/5*b**5 = 0.
-1, 1
Let i(m) be the third derivative of m**10/6048 + m**9/756 + 5*m**8/1344 + m**7/252 - m**4/2 + 10*m**2. Let u(w) be the second derivative of i(w). Factor u(s).
5*s**2*(s + 1)**2*(s + 2)
Factor 32/5*t**3 - 92/5*t**2 - 162/5 - 288/5*t - 2/5*t**4.
-2*(t - 9)**2*(t + 1)**2/5
Let c(d) = 2*d**3 + d**2 - 16*d + 5. Let l(u) = -u**3 + 7*u - 2. Let t(m) = 2*c(m) + 5*l(m). Solve t(z) = 0.
-1, 0, 3
Let s(f) be the first derivative of -1/2*f + 4 + 1/8*f**2 - 1/16*f**4 + 1/6*f**3. Suppose s(t) = 0. What is t?
-1, 1, 2
Let h(w) be the third derivative of -w**5/75 + 3*w**4/5 + 16*w**3/3 - 477*w**2. Let h(o) = 0. Calculate o.
-2, 20
Let g be ((-330)/55)/(-4 - 5). Find f, given that 0 + 38/3*f**2 + g*f**5 + 6*f**4 + 14*f**3 + 4*f = 0.
-6, -1, 0
Let a(g) = -g + 14. Let u be a(12). Factor -289 - 6*i + 289 + 2*i**u.
2*i*(i - 3)
Suppose 2 = 5*s - 8. Let m be (s/7)/((-44)/(-77)). Factor 0*n**2 + 0 + m*n**5 + 0*n - 1/2*n**4 + 0*n**3.
n**4*(n - 1)/2
Suppose -66 = 6*r - 90. Let o(j) be the second derivative of -48*j**2 - 6*j**5 + 0 - j**6 - 1/14*j**7 - 2*j - 40*j**3 - 20*j**r. Factor o(l).
-3*(l + 2)**5
Factor -2120*x + 81 + 5*x**2 + 4*x**2 + 2204*x - 6*x**2.
3*(x + 1)*(x + 27)
Let z(f) = -9*f + 2. Let y be z(0). Find r, given that -27/4*r**3 + 9/4*r**4 + 0*r - 1/4*r**5 + 0 + 27/4*r**y = 0.
0, 3
Let i = -3/362 + 95/543. Let r(a) be the third derivative of -i*a**3 - 1/12*a**4 + 0*a + 0 - a**2 - 1/60*a**5. Let r(f) = 0. What is f?
-1
Let v(u) be the third derivative of u**9/15120 - u**8/2240 + u**6/180 + u**4/4 - 8*u**2. Let q(h) be the second derivative of v(h). Find r, given that q(r) = 0.
-1, 0, 2
Let x(i) be the second derivative of -1/441*i**7 + i + 1/126*i**4 + 1/210*i**5 - 12 + 0*i**3 - 1/315*i**6 + 0*i**2. Suppose x(d) = 0. What is d?
-1, 0, 1
Let y(d) = d**4 + d**3 + d**2 - 1. Let x(q) = -2*q**4 - 102*q**3 - 492*q**2 + 605*q - 3. Let v(u) = -x(u) + 3*y(u). Factor v(o).
5*o*(o - 1)*(o + 11)**2
Let b(r) be the third derivative of -1/3*r**5 + 0 + 0*r**3 + 1/6*r**4 + 0*r + 8*r**2 + 7/120*r**6 + 3/70*r**7. Let b(c) = 0. What is c?
-2, 0, 2/9, 1
Let r(k) be the third derivative of 1/150*k**5 + 0*k + 0*k**3 + 0 + 1/300*k**6 + 0*k**4 + 38*k**2. Factor r(s).
2*s**2*(s + 1)/5
Let t(k) be the second derivative of 0 - 4/9*k**3 + 1/5*k**5 - 1/9*k**4 - 2/63*k**7 + 0*k**2 - 14*k + 2/45*k**6. What is q in t(q) = 0?
-1, 0, 1, 2
Let q be 6/33*(-143)/676*-13. Determine k, given that 0 + 3*k + q*k**2 = 0.
-6, 0
Factor -2646/5*g + 18522/5 - 2/5*g**3 + 126/5*g**2.
-2*(g - 21)**3/5
Let s = 21 - 0. Suppose -57*i**3 - 12 - s*i**4 - 38*i - 22*i**2 - 53*i**2 - 10*i + i**5 - 4*i**5 = 0. What is i?
-2, -1
Suppose 2*s - 26 = 4*h, -32 = -s + 5*