 Factor x(l).
3*l*(l - 1)**2*(l + 1)**2/5
Let l(c) be the first derivative of -6 + 4/9*c**3 + 2/3*c**2 + 0*c. Suppose l(x) = 0. Calculate x.
-1, 0
Let k = 0 + 2. Suppose -3*u + u - 4*u**2 + k*u = 0. Calculate u.
0
Let w be (3135/(-60))/11 - (-10)/2. Suppose 5/4*m**2 - w*m**4 + 3/4*m + 1/4*m**3 + 0 = 0. Calculate m.
-1, 0, 3
Let b = 1593 - 1590. Factor 0*n + 2/23*n**b - 8/23 + 6/23*n**2.
2*(n - 1)*(n + 2)**2/23
Let q(z) be the first derivative of -5*z**6/3 + z**5/2 + 15*z**4/2 - 55*z**3/6 + 5*z**2/2 - 83. Determine f, given that q(f) = 0.
-2, 0, 1/4, 1
Let o(n) = -8*n**5 + 8*n**4 + 2*n**3 - 2*n**2 - 6*n - 6. Let b(i) = -9*i**5 + 9*i**4 + i**3 - i**2 - 7*i - 7. Let g(y) = 6*b(y) - 7*o(y). Solve g(h) = 0.
-2, 0, 1, 2
Find m, given that -30*m + 25*m**4 - 5*m**5 + 60*m**3 - 35*m**3 - 25*m**2 + 10*m**5 = 0.
-3, -2, -1, 0, 1
Let s(c) = 10*c**4 + 16*c**3 + 24*c**2 + 8*c - 10. Let p(k) = -k**4 - k**3 - 2*k**2 - k + 1. Let z(j) = -12*p(j) - s(j). Factor z(x).
2*(x - 1)**3*(x + 1)
Let d(w) be the first derivative of 103*w**4/22 - 416*w**3/33 + 107*w**2/11 - 4*w/11 - 45. Factor d(x).
2*(x - 1)**2*(103*x - 2)/11
Solve -136 + 18*j - 2505*j**2 + 10*j + 32*j + 2509*j**2 = 0 for j.
-17, 2
Suppose 3*o = 3, o - 7 = -0*i - 3*i. Let v = 49 + -47. Solve -2*p**2 - p - 2*p - v*p**i + 4*p**4 + p + 2*p**5 = 0 for p.
-1, 0, 1
Let y(p) be the first derivative of -5*p**3/3 - 35*p**2/2 - 60*p + 71. Determine j so that y(j) = 0.
-4, -3
Let o(b) be the second derivative of -b**7/98 + 9*b**5/140 + b**4/14 - 85*b. Determine u, given that o(u) = 0.
-1, 0, 2
Let x be (10856/304)/(-23)*6/(-3) - 3. Factor x*n**2 - 8/19*n + 8/19.
2*(n - 2)**2/19
Let s(k) be the first derivative of -5*k**3 - 21/4*k**4 + 0*k + 3*k**2 - 19. Solve s(x) = 0.
-1, 0, 2/7
Let o(t) be the third derivative of -t**7/70 + t**6/20 + t**2 - 68. Factor o(q).
-3*q**3*(q - 2)
Let f(j) be the first derivative of 3*j**5/20 - 27*j**4/8 + 12*j**3 - 69*j**2/4 + 45*j/4 - 478. Let f(c) = 0. Calculate c.
1, 15
Suppose 18*v**3 - 2*v**5 + 80*v - 3*v**4 - 10*v**2 + 5*v**4 - 112*v + 29 - 5 = 0. What is v?
-2, 1, 3
Let m = 167/15 - 11. Let i = 2369/15 + -789/5. Solve -2/15*g**2 + m - 2/15*g + i*g**3 = 0 for g.
-1, 1
Let c(t) be the first derivative of -1/240*t**6 + 1/120*t**5 + t**2 - 1/12*t**3 + 2 + 1/48*t**4 + 0*t. Let w(v) be the second derivative of c(v). Factor w(b).
-(b - 1)**2*(b + 1)/2
Let s(u) = -7*u**2 + 27*u. Let h(j) = 72*j**2 - 270*j. Let k(d) = 2*h(d) + 21*s(d). Factor k(b).
-3*b*(b - 9)
Let x be (-58)/(-10) - (-46 - -46) - 12/3. Factor 0 - 4/5*f**4 - x*f**3 - 6/5*f**2 - 1/5*f.
-f*(f + 1)**2*(4*f + 1)/5
Let n(u) be the second derivative of -u**6/432 - u**5/18 - 35*u**4/144 - 35*u**3/6 + 37*u. Let x(s) be the second derivative of n(s). Factor x(w).
-5*(w + 1)*(w + 7)/6
Let s(i) = -i**2 + 49. Let x be s(0). Solve -29*l**3 + 10*l + 25*l**2 + x*l**3 + 3*l**4 + 2*l**4 = 0 for l.
-2, -1, 0
Let t(f) be the first derivative of -8*f + 0*f**2 + 2*f**3 - 35 + 1/2*f**4. Suppose t(r) = 0. Calculate r.
-2, 1
Let s be ((-30)/6)/5*-1*0. Suppose -3/7*t**5 + 12/7*t**3 + s + 0*t - 3/7*t**4 + 12/7*t**2 = 0. What is t?
-2, -1, 0, 2
Let y(a) = a**3 + 11*a**2 - a - 7. Let i be y(-11). Let k = i - -31. Factor 58*f**2 - k*f**3 - 36*f + 0*f**3 + 11*f**4 + 8 - 4*f**3 - 2*f**4.
(f - 2)*(f - 1)*(3*f - 2)**2
Let l = 5 - 2. Let t(h) = -4*h + 3. Let n be t(-2). Factor -l - n - 4*k**2 - 2 - 16*k.
-4*(k + 2)**2
Let k(c) be the second derivative of -4/45*c**6 + 2/9*c**4 + 2/63*c**7 + 0 + 4*c + 0*c**2 - 2/9*c**3 + 0*c**5. Factor k(p).
4*p*(p - 1)**3*(p + 1)/3
Find c, given that -26 + 0*c**2 + 3*c**2 + 10 - 4*c**2 + 8*c = 0.
4
Let l(m) = -4*m**3 + 4*m**2 - m - 3. Let f(y) = 2 - 2*y + 5*y**2 + 3 - 5*y**3 - 4 - 5. Let n(z) = -3*f(z) + 4*l(z). Find p, given that n(p) = 0.
-1, 0, 2
Let q(h) = 2*h**2 - h - 2. Let x be q(2). Suppose 0*c - x*c = -8. Factor -3*j**3 - j - j**c + 4*j - 3 + 4*j**2.
-3*(j - 1)**2*(j + 1)
Suppose 1/5*d**4 - 2/5*d**2 - 3/5*d + 1/5 - 3/5*d**5 + 6/5*d**3 = 0. What is d?
-1, 1/3, 1
Let a(n) be the first derivative of -n**7/6300 + n**6/1350 - n**5/900 + 20*n**3/3 + 2*n - 46. Let x(t) be the third derivative of a(t). What is v in x(v) = 0?
0, 1
Suppose -107 = 5*f - 137. Suppose j = -o + f - 3, -5*j = 3*o - 15. Let 1/5*w**j + 0 + 0*w - 2/5*w**2 = 0. Calculate w.
0, 2
Factor -60*v**4 - 160*v**3 - 1250 + 5*v**2 - 3*v**5 - 4*v**5 + 2*v**5 + 345*v**2 + 1125*v.
-5*(v - 2)*(v - 1)*(v + 5)**3
Let n(t) be the second derivative of 0 - 1/80*t**5 - 2*t - 1/3*t**3 + 7/48*t**4 - 2*t**2. Factor n(o).
-(o - 4)**2*(o + 1)/4
Let k(h) be the third derivative of h**7/3780 - h**6/540 - h**5/60 + h**4/24 - 5*h**3/6 + 17*h**2. Let w(z) be the second derivative of k(z). Factor w(i).
2*(i - 3)*(i + 1)/3
Let -4*o**5 + 240*o + 56*o**4 + 22 - 236*o**3 - 19 - 17 - 274 + 232*o**2 = 0. What is o?
-1, 1, 2, 6
Let f(l) = -l**2 + 9*l - 8. Let r = -2 + 0. Let v(p) = -2*p**2 + 10*p - 8. Let u(w) = r*f(w) + 3*v(w). Factor u(h).
-4*(h - 2)*(h - 1)
Let z(f) be the first derivative of f**5/5 - 5*f**4/4 + 8*f**3/3 - 2*f**2 - 164. Factor z(o).
o*(o - 2)**2*(o - 1)
Let a(w) be the third derivative of w**8/784 + w**7/49 + 5*w**6/56 - w**5/7 - 10*w**4/7 + 32*w**3/7 - 2*w**2 + 48. Let a(m) = 0. What is m?
-4, 1
Let n = -603 + 605. Factor 0*r + 0*r**3 + 0 + 0*r**4 + 0*r**n - 1/3*r**5.
-r**5/3
Determine f so that -21*f**3 - 43/7*f**2 + 79/7*f - 16/7 - 9/7*f**4 = 0.
-16, -1, 1/3
Let j(i) = i**3 + i**2 + 2*i - 1. Let u be j(-2). Let v(g) = g**2 + 7*g - 12. Let r be v(u). Let -o + 3*o**3 + o + r*o**2 = 0. What is o?
-2, 0
Let o(b) = -11*b + 5*b**2 + 114 + b**3 - 113 + 2*b**3. Let q(c) = c**2 + 2*c - 1. Let h(w) = -o(w) - q(w). Let h(v) = 0. What is v?
-3, 0, 1
Let c = -15 - -19. Suppose -c*x = -x. Factor 19 - 3*j**2 + x*j - 6*j - 19.
-3*j*(j + 2)
Solve -32*v**3 + 56*v - 12*v + 15*v**3 - 32 + 5*v**4 = 0.
-8/5, 1, 2
Find q such that 70/3*q**2 - 15*q**4 + 5 - 40*q**3 + 80/3*q = 0.
-3, -1/3, 1
Let t(b) be the first derivative of -2*b**3/21 - 55*b**2/7 + 16*b + 131. Factor t(k).
-2*(k - 1)*(k + 56)/7
Let c be (-4)/22 - (-23)/((-1518)/(-342)). Factor 1/6*i**c + 1/6*i + 0 + 0*i**4 - 1/3*i**3 + 0*i**2.
i*(i - 1)**2*(i + 1)**2/6
Let l(t) = -2*t**2 + 7*t. Let r(k) = k. Let n(i) = -2*l(i) - 6*r(i). Factor n(x).
4*x*(x - 5)
Let u(f) be the first derivative of -1/2*f**2 + 2*f + 22 - 1/4*f**4 + 2/5*f**5 - 2*f**3. Factor u(z).
(z - 2)*(z + 1)**2*(2*z - 1)
Suppose 808*i + 40 = 828*i. Let -2/5*m**i + 8/5*m + 0 = 0. Calculate m.
0, 4
Let d(s) be the first derivative of -s**6/90 + s**5/12 - s**4/6 - 5*s**3/3 - 11. Let k(q) be the third derivative of d(q). Factor k(w).
-2*(w - 2)*(2*w - 1)
Let f(y) be the second derivative of y**7/189 - y**5/45 + y**3/27 + 91*y - 1. Solve f(x) = 0.
-1, 0, 1
Let o = -59 - -59. Factor -r**2 + o*r**2 + 6 - 4 - r**2.
-2*(r - 1)*(r + 1)
Let t(d) be the second derivative of -d**6/90 - 49*d**5/60 - 260*d + 1. Let t(i) = 0. Calculate i.
-49, 0
Let q = 11894 - 249772/21. Factor -4/21*t + 0*t**2 + q + 4/21*t**3 - 2/21*t**4.
-2*(t - 1)**3*(t + 1)/21
Let q be (-1 + 1)*(8 + 75/(-10)). Let g(h) be the third derivative of 1/120*h**5 - 4*h**2 + 0*h - 1/12*h**3 + q + 0*h**4. Factor g(z).
(z - 1)*(z + 1)/2
Let f(u) be the second derivative of -u**4/24 - 121*u**3/6 - 14641*u**2/4 - 385*u. Suppose f(w) = 0. What is w?
-121
Let y(m) be the second derivative of 1/10*m**4 + 1/50*m**5 - 2/15*m**3 - 3*m - 1 + 0*m**2 - 1/25*m**6 + 1/105*m**7. Let y(b) = 0. Calculate b.
-1, 0, 1, 2
Let b(v) = -23*v + 118. Let m be b(5). Let f(k) be the second derivative of 1/60*k**4 + 0 + 3*k + 4/15*k**m + 8/5*k**2. Factor f(w).
(w + 4)**2/5
Let v(o) = o - 21. Let h be v(11). Let x = -10 - h. Factor x*y**2 + 6/5*y - 2/5*y**3 + 4/5.
-2*(y - 2)*(y + 1)**2/5
Let k(b) be the second derivative of 1/51*b**4 + 5/17*b**3 - 1/357*b**7 + 0 - 7/85*b**5 - 9/17*b**2 + 26*b + 7/255*b**6. Let k(v) = 0. Calculate v.
-1, 1, 3
Let t = -893 + 899. Let j(a) be the second derivative of 0*a**3 + 2*a - 1/56*a**7 + 1/16*a**4 + 0 - 1/40*a**t + 0*a**2 + 3/80*a**5. Find u, given that j(u) = 0.
-1, 0, 1
Let y be ((-1)/6)/((-13)/(-104))*-321. Factor -7*h**2 + 210*h - y*h + 216*h.
-h*(7*h + 2)
Let j = -20 - -35. Determine f, given that 38*f - j*f - 200*f**4 + 155*f**2 + 142*f + 45 - 80*f**5 - 85*f**3 = 0.
-1, -3/4, 1
Let k(a) = -5*a**2 - 2