 + 0*m**2 - 4/5*m**5. Factor r(s).
-4*s**4*(s + 1)
Let u be (-180)/(-210)*14/3. Suppose -3*b**4 + 20 - 16*b**2 + 2*b - b**u - 26*b + 7*b**3 + 17*b**3 = 0. What is b?
-1, 1, 5
Let v(q) be the first derivative of q**6/3 + 2*q**5/5 - 3*q**4/2 - 2*q**3/3 + 2*q**2 + 41. Factor v(p).
2*p*(p - 1)**2*(p + 1)*(p + 2)
Let u(g) = -5*g + 18*g - 11 + 5*g + 21*g**2 + 17. Let p(d) = -d**2 - d - 1. Let f(s) = -18*p(s) - u(s). Solve f(q) = 0 for q.
-2, 2
Suppose 8*t - 5*t = 18. Let f be t*(-8)/54 - -2. Factor 16/9*o + 2/9*o**3 - f*o**2 - 8/9.
2*(o - 2)**2*(o - 1)/9
Let d(f) be the first derivative of 2*f**3/51 + 11*f**2/17 - 24*f/17 + 169. Factor d(n).
2*(n - 1)*(n + 12)/17
Let j(h) be the first derivative of -98*h**3/33 + 14*h**2/11 - 2*h/11 + 65. Suppose j(r) = 0. Calculate r.
1/7
Suppose 2/7*i**3 - 3/7*i + 1/7*i**5 + 0 - 4/7*i**2 + 4/7*i**4 = 0. What is i?
-3, -1, 0, 1
Suppose -2*y - 3*l + 5*l + 14 = 0, -1 = -y - l. Let f be (27/(-6) + y)*0. Factor 2/3*c**2 + f + 4/3*c.
2*c*(c + 2)/3
Suppose 30*t + 8*t = 19 + 57. Factor -2/5*w**3 - 96/5*w - 24/5*w**t - 128/5.
-2*(w + 4)**3/5
Suppose 27*w**3 - 14*w**2 + 24*w**3 - 2*w - 41*w**3 + 0 + 6 = 0. What is w?
-3/5, 1
Let n = -43 + 39. Let m be n*((-2)/(-4))/((-3)/6). Factor 2/13*k**5 - 6/13*k**2 - 2/13*k**m - 10/13*k**3 + 0 + 0*k.
2*k**2*(k - 3)*(k + 1)**2/13
Let u = -3815 + 3815. Factor -3/2*i**2 + 9/2*i**5 - 21/2*i**4 + u*i + 15/2*i**3 + 0.
3*i**2*(i - 1)**2*(3*i - 1)/2
Let f(h) be the first derivative of -h**5/10 + 2*h**4 + h**3/6 - 4*h**2 - 163. Let f(y) = 0. Calculate y.
-1, 0, 1, 16
Let k(x) be the third derivative of x**10/287280 - x**4/12 + 3*x**2. Let y(v) be the second derivative of k(v). Factor y(z).
2*z**5/19
Let d(l) be the third derivative of l**5/90 + 5*l**4/12 - 90*l**2. Let d(f) = 0. What is f?
-15, 0
Let b = -22 + 27. Let g(q) = -q**2 + 4*q + 7. Let w be g(b). Suppose 0*h**w + 0 + 3/2*h**3 + 0*h = 0. What is h?
0
Let g(v) = -2*v - 9. Let p(d) = d - 1. Let j(s) = -g(s) - 3*p(s). Let n be j(12). Let n*c - 2/5*c**2 + 0 = 0. What is c?
0
Factor -117/2*j**2 - 15*j**3 + 75/2*j**4 + 24 + 12*j.
3*(j - 1)**2*(5*j + 4)**2/2
Let -3*h**4 + 205*h**2 + 189*h - 557*h**2 + 225*h**2 + 78 + 98*h**2 + 27*h**3 + 170*h**2 = 0. What is h?
-2, -1, 13
Let l(z) = 4 - 2*z - 2 + z**2 - z**3 - 2*z**2. Let q(b) = 9*b**2 + b - 8*b**2 + 1 - 2 + 0*b + b**3. Let k(d) = 3*l(d) + 6*q(d). Factor k(a).
3*a**2*(a + 1)
Let h(b) = -14*b - 36. Let u(v) = -v**2 - 70*v - 180. Let g(p) = 11*h(p) - 2*u(p). Let g(k) = 0. What is k?
-2, 9
Let w(m) be the second derivative of 5*m**4/12 - 1220*m**3/3 + 148840*m**2 - 73*m. Factor w(v).
5*(v - 244)**2
Let q be 5/12 + (515/(-30) - 391/(-23)). Factor -q*f**2 - 5/2*f - 25/4.
-(f + 5)**2/4
Let w(v) be the second derivative of v**7/3360 - v**6/1440 - v**5/480 + v**4/96 + 11*v**3/6 - 9*v. Let k(u) be the second derivative of w(u). Factor k(p).
(p - 1)**2*(p + 1)/4
Let s(p) = 2*p**2. Let k(f) = 28*f**2 - 20*f - 144. Let d(u) = k(u) - 12*s(u). Let d(i) = 0. What is i?
-4, 9
Let h(l) be the second derivative of -l**8/9240 + l**7/4620 + l**6/1980 - l**5/660 + l**3/3 + 11*l. Let t(f) be the second derivative of h(f). Factor t(b).
-2*b*(b - 1)**2*(b + 1)/11
What is i in 8/5*i**3 - 6/5 + 2/5*i**4 - 8/5*i + 4/5*i**2 = 0?
-3, -1, 1
Let j(x) = x**3 - 9*x**2 + 9*x - 8. Suppose 3*c - 11 - 13 = 0. Let q be j(c). Find y, given that 1/6*y + q - 1/6*y**2 = 0.
0, 1
Let w(t) be the second derivative of 0 + 1/18*t**3 + t**2 + 1/180*t**5 + 1/36*t**4 + t. Let q(s) be the first derivative of w(s). Factor q(z).
(z + 1)**2/3
Suppose 5*x - a = 2*a + 30, a = 5*x - 30. Suppose -18 = -6*f - x. Factor 2*t**f - 1/2*t**3 + 1 - 5/2*t.
-(t - 2)*(t - 1)**2/2
Let u(d) be the first derivative of d**4/18 + 20*d**3/27 + 163. Factor u(a).
2*a**2*(a + 10)/9
Factor 6/13*g**5 + 30/13*g**3 + 22/13*g**4 + 0 + 18/13*g**2 + 4/13*g.
2*g*(g + 1)**3*(3*g + 2)/13
Let f be 271/993*11 - 3. Let t = 13912/4965 - f. Factor -32/5*m**2 + 22/5*m - 4/5 + t*m**3.
2*(m - 1)**2*(7*m - 2)/5
Let c = 3362/11 + -305. Let t = c - -1/33. Factor 4/3*q - 4/3*q**3 + t*q**2 + 0 - 2/3*q**4.
-2*q*(q - 1)*(q + 1)*(q + 2)/3
Let m be 0*(0 + 14/(-140)). Factor -2/7*k**4 - 10/7*k**3 - 8/7*k + m - 16/7*k**2.
-2*k*(k + 1)*(k + 2)**2/7
Let u be 196/21 + -3 + -3. Let v(f) be the first derivative of u*f**3 + 0*f - 1/3*f**6 + 3 + 2*f**2 + 3/2*f**4 - 2/5*f**5. Solve v(m) = 0.
-1, 0, 2
Let z(q) = q**2 - q. Let s(y) = 2*y**3 + 9*y**2 - 5*y - 6. Let k be (2/(-6))/(18/54). Let b(g) = k*s(g) + 3*z(g). Determine o so that b(o) = 0.
-3, -1, 1
Let u(o) = 2*o**3 + o**2 + o + 2. Let c be u(-1). Let m(a) be the first derivative of -3 + 2/3*a**3 + c*a + a**2. Suppose m(l) = 0. What is l?
-1, 0
Let c(x) be the first derivative of 2*x**5/15 + 4*x**4/3 + 44*x**3/9 + 8*x**2 + 6*x - 778. Factor c(y).
2*(y + 1)**2*(y + 3)**2/3
Let l = -40 + 46. Factor -8*g - l*g**2 + 11 + 5 + 7*g**2.
(g - 4)**2
Suppose -2*m = -5*m - 3. Let x be (-3 - (m - -2))*-2. Determine u so that -x*u**2 + 2*u**3 - u**3 + 3*u**3 = 0.
0, 2
Suppose -3 + 1 - 2 - 38*x**2 - 64*x**2 + 0 - 106*x = 0. What is x?
-1, -2/51
Determine t so that -2112*t**2 - 681472 - 32*t**3 - 2/11*t**4 - 61952*t = 0.
-44
Find p such that 2*p**4 + 15 + 108*p**2 - 232*p + 19 + 40*p**3 + 336*p = 0.
-17, -1
Let v = -25 - -44. Determine f so that -15 - 12*f - 10 - 39*f + 15*f**2 - v*f = 0.
-1/3, 5
Let i(l) be the third derivative of 1/320*l**6 - 1/160*l**5 + 0*l**4 + 0*l**3 + 0*l + 0 + 10*l**2. Factor i(q).
3*q**2*(q - 1)/8
Let r = 14 - 11. Factor -6*y**2 - 3*y**4 + 30*y**3 - 22*y**r - 17*y**3.
-3*y**2*(y + 1)*(y + 2)
Let s(y) be the third derivative of y**6/150 + 7*y**5/75 + 7*y**4/30 - 2*y**3 - 15*y**2 + 5*y. Factor s(h).
4*(h - 1)*(h + 3)*(h + 5)/5
Let s(p) be the third derivative of -1/7*p**3 - 1/42*p**4 + 1/210*p**5 + 13*p**2 + 0 + 0*p. Factor s(l).
2*(l - 3)*(l + 1)/7
Let r = 50 + -41. Factor r*m**2 - 6*m + 0*m**2 - 3*m + 3 - 3*m**3.
-3*(m - 1)**3
Let h = 1566 - 31317/20. Let d(f) be the first derivative of -3/10*f**2 + h*f**4 - 1 + 3/5*f - 1/5*f**3. Factor d(y).
3*(y - 1)**2*(y + 1)/5
Let q(o) be the first derivative of -o**5/90 - 5*o**4/6 - 25*o**3 - 5*o**2 - 39. Let l(w) be the second derivative of q(w). Factor l(n).
-2*(n + 15)**2/3
Let s(h) = -3*h**2 - 200*h - 169. Let g(d) = -67*d - 56. Let f(n) = 11*g(n) - 4*s(n). Factor f(p).
3*(p + 4)*(4*p + 5)
Factor -o**5 + 0*o**3 - o + 42*o**2 - 4*o**3 - 40*o**2 + 6*o + 2 - 4*o**4.
-(o - 1)*(o + 1)**3*(o + 2)
Let h(x) be the first derivative of -6*x**5/55 + 27*x**4/22 - 30*x**3/11 + 21*x**2/11 - 147. What is q in h(q) = 0?
0, 1, 7
Let o(u) be the second derivative of -u**5/30 + u**4/2 - 3*u**3 + 4*u**2 + 26*u. Let k(m) be the first derivative of o(m). Solve k(f) = 0.
3
Factor -39 + 2*j**4 - 52 - j**3 + 87 - 5*j**4 + 7*j**2 + j**5.
(j - 2)**2*(j - 1)*(j + 1)**2
Let d(u) be the third derivative of u**6/120 + 11*u**5/60 + 5*u**4/12 - 12*u**3 - 170*u**2 - 2*u. Suppose d(f) = 0. Calculate f.
-9, -4, 2
Let b be 0 + 0 + -2 + 38. Let s = b + -26. Factor -7*o + 3*o + 9*o + 5*o**2 + s*o.
5*o*(o + 3)
Suppose 0 = -170*z + 169*z + 2. Let i be (-1 + 15 - 3)*z/11. Solve -2*g**3 - 4/3 + 10/3*g + 8/3*g**i = 0.
-1, 1/3, 2
Let j(o) be the first derivative of 25*o**4/4 + 5*o**3 - 25*o**2/2 - 15*o - 7. Suppose j(u) = 0. Calculate u.
-1, -3/5, 1
Let c(s) = -2*s + 33 + 29 - 83. Let j be c(-12). Determine o, given that -1/4*o**4 - 1/4*o - 3/4*o**2 + 0 - 3/4*o**j = 0.
-1, 0
Let w be (-6)/20*(35/15 + -4). Let h(d) be the first derivative of 6*d + w*d**3 - 4 + 3*d**2. Let h(g) = 0. Calculate g.
-2
Let k = 25/202 + 10329/1414. Solve -k*q + 338/7 + 2/7*q**2 = 0 for q.
13
Factor -754/3*l - 169 - 1/3*l**4 - 92*l**2 - 10*l**3.
-(l + 1)*(l + 3)*(l + 13)**2/3
Solve -26/3*g**2 + 1/3*g**4 - 4/3*g**3 + 20*g + 75 = 0.
-3, 5
Let g(k) be the second derivative of -k**5/10 + 2*k**4/3 + 28*k**3/3 + 32*k**2 + 181*k. Factor g(l).
-2*(l - 8)*(l + 2)**2
Suppose 0 = 4*x - 2*w - 136, -3*w + 4*w = -x + 34. Let f = -32 + x. Factor -v**3 + 4*v**f - 5/3*v**4 + 0 - 4/3*v.
-v*(v - 1)*(v + 2)*(5*v - 2)/3
Factor -14/5*q**4 - 13/5*q + 8/5*q**3 + 4/5 + q**5 + 2*q**2.
(q - 1)**3*(q + 1)*(5*q - 4)/5
Let g(h) be the first derivative of -2/7*h**4 + 16/7*h + 4/35*h**5 - 4/7*h**3 + 3 + 8/7*h**2. Solve g(b) = 0 for b.
-1, 2
Factor 384 + 2/3*v**2 - 32*v.
2*(v - 24)**2/3
Let g(t)