k**4 + 2*k**t + 0*k + 2/3*k**5 - 2/3*k**2.
2*k**2*(k - 1)**3/3
Let v(c) be the third derivative of -c**7/2520 - c**6/720 + c**5/60 + c**4/24 - 2*c**2. Let g(l) be the second derivative of v(l). Factor g(s).
-(s - 1)*(s + 2)
Let b(o) be the second derivative of 5/36*o**4 - 1/252*o**7 - 5*o - 5/36*o**3 + 1/36*o**6 + 1/12*o**2 - 1/12*o**5 + 0. Determine k, given that b(k) = 0.
1
Determine b, given that 38/15*b**4 + 46/3*b**3 + 2/15*b**5 + 416/15*b + 128/15 + 482/15*b**2 = 0.
-8, -1
Let c(w) = w**2 + 2*w + 1. Let y be c(-1). Solve y*z + z**2 + 0 - 6*z + 8*z**2 - 3 = 0.
-1/3, 1
Solve c**2 - 9*c + c**2 - 5*c**2 + 12 = 0.
-4, 1
Let d be 42 + -44 + (-14)/(-5). Factor -2/5*v - 2/5*v**2 + d.
-2*(v - 1)*(v + 2)/5
Let c(b) be the second derivative of -b**6/180 - b**5/120 - 8*b. Factor c(l).
-l**3*(l + 1)/6
Let d be -6*(2 - ((-76)/(-18))/2). Factor 1/3*t**2 - t + d.
(t - 2)*(t - 1)/3
Let s(t) be the first derivative of -2*t**3/15 + 4*t**2/5 + 2*t + 49. Factor s(q).
-2*(q - 5)*(q + 1)/5
Let k be 1 - 35/49 - (-1 - -1). Factor 0 + 0*y**2 + 0*y**3 + 0*y + k*y**4.
2*y**4/7
Let s(n) be the first derivative of 0*n**2 + 0*n + 7 + 1/18*n**4 + 2/27*n**3. Suppose s(p) = 0. Calculate p.
-1, 0
Let g(t) = t**3 - t**2 + t + 3. Let n(y) = -y**2 + 1. Let i(q) = -g(q) + 3*n(q). Factor i(b).
-b*(b + 1)**2
Let g(r) be the third derivative of -r**7/945 - r**6/540 + r**5/90 + 5*r**4/108 + 2*r**3/27 - 18*r**2. Solve g(f) = 0.
-1, 2
Let i = -76 - -81. Let y(u) be the third derivative of 1/33*u**3 + 0 + 1/330*u**i - 1/66*u**4 - u**2 + 0*u. Factor y(z).
2*(z - 1)**2/11
Find o, given that 32*o + 0*o + 4*o**2 + 65 - 1 = 0.
-4
Let s(c) be the third derivative of 0*c**3 + 1/12*c**4 + 0 + 0*c**5 + c**2 - 1/60*c**6 + 0*c. Suppose s(h) = 0. What is h?
-1, 0, 1
Let x(v) = v**3 - 4*v**2 + 2*v - 6. Let t be x(4). Solve t*n**3 - 3*n**3 - 8*n**2 + n - 2 + 10*n**2 = 0 for n.
-1, 1, 2
Let t(h) be the second derivative of 0 + 1/6*h**2 - 1/36*h**4 + h + 1/18*h**3 - 1/60*h**5. Factor t(u).
-(u - 1)*(u + 1)**2/3
Determine p so that -46*p**3 + 46*p**3 + 4*p**4 = 0.
0
Factor 0*g + 0 + 1/2*g**5 + 3/2*g**3 + 1/2*g**2 + 3/2*g**4.
g**2*(g + 1)**3/2
Find h, given that -16/7*h**4 + 0*h + 0*h**2 - 2/7*h**5 - 32/7*h**3 + 0 = 0.
-4, 0
Let r(n) be the second derivative of 2/3*n**3 + 1/21*n**7 - 1/3*n**6 + 0*n**2 + 0 + 9/10*n**5 - 7*n - 7/6*n**4. Factor r(u).
2*u*(u - 2)*(u - 1)**3
Let z = 21 - 19. Suppose 0 = -u - 2*w + 4, -z*w = -u + w + 4. Factor 0 + 0*h - 1/2*h**3 + 0*h**2 - 1/2*h**u.
-h**3*(h + 1)/2
Let w(l) be the first derivative of -2*l**3 + 1/2*l**4 - 7 + 0*l**2 + 8*l. Suppose w(y) = 0. Calculate y.
-1, 2
Suppose -4*g + 3*v + 38 = 0, -2*g + 7*g = 2*v + 51. Let r be g/14 - 2/7. Factor -1/2 + r*k**2 + 0*k.
(k - 1)*(k + 1)/2
Factor -16/5*a**5 - 28/5*a**4 - 8/5*a**3 + 0 + 0*a + 4/5*a**2.
-4*a**2*(a + 1)**2*(4*a - 1)/5
Suppose 2*s = 5*s - 18*s. Let 2/7*b**3 - 2/7*b**2 + s - 2/7*b + 2/7*b**4 = 0. Calculate b.
-1, 0, 1
Suppose 3*o - 8 = 1. Let x be 1/o*(4 - 4). Factor 0*s - 2/7*s**2 + x.
-2*s**2/7
Let n(k) = 10*k**2 - 25*k - 35. Let v(h) = 5*h**2 - 12*h - 17. Let c(y) = -3*n(y) + 5*v(y). Factor c(j).
-5*(j - 4)*(j + 1)
Let x(n) be the third derivative of -n**8/1176 + n**7/245 - n**6/140 + n**5/210 + 39*n**2. Factor x(l).
-2*l**2*(l - 1)**3/7
Factor 2/9*b**4 - 2/9*b**2 - 2/9*b**3 + 2/9*b + 0.
2*b*(b - 1)**2*(b + 1)/9
Let q = -64 - -35. Let h = q + 31. Suppose -2/5*i + h*i**3 + 0 + 6/5*i**4 + 2/5*i**2 = 0. Calculate i.
-1, 0, 1/3
Let r = -64 - -70. Let v(d) be the third derivative of 4/9*d**3 + 1/180*d**r + 2*d**2 + 0*d**4 + 0 + 0*d - 1/30*d**5. Factor v(w).
2*(w - 2)**2*(w + 1)/3
Let l = 5538/5 - 182599/165. Let r = l - 3/11. What is z in r*z**2 + 8/9*z**3 - 2/9*z + 0 = 0?
-1, 0, 1/4
Suppose -2*q + 5 = -4*m - 3*q, -25 = 3*m + 5*q. Let y(a) be the second derivative of -4/21*a**3 + m + 2*a + 1/42*a**4 + 4/7*a**2. Factor y(v).
2*(v - 2)**2/7
Let k(n) be the second derivative of -n**6/135 - n**5/45 - n**4/54 - n. Factor k(o).
-2*o**2*(o + 1)**2/9
Let t(u) be the first derivative of u**7/1260 + u**6/270 + u**5/180 + 2*u**3/3 + 4. Let n(h) be the third derivative of t(h). Suppose n(s) = 0. What is s?
-1, 0
Let -3*l + 4 + 21*l + 2*l**5 + 28*l**3 + 7*l**2 + 24*l**2 + l**2 + 12*l**4 = 0. Calculate l.
-2, -1
Let q(g) = 2*g**2 + g - 1. Suppose -5*h = 5 + 5. Let m be q(h). Factor -a**5 + 2*a**4 - a**4 - 7*a**4 + 6*a**2 - 3*a + 4*a**m.
3*a*(a - 1)**3*(a + 1)
Let b = 19 - 19. Let h(j) be the third derivative of 0 + 0*j**5 - 2*j**2 + 1/24*j**4 - 1/120*j**6 + 0*j + b*j**3. Factor h(c).
-c*(c - 1)*(c + 1)
Let p(v) = v + 8. Suppose -h = -2*h - 8. Let x be p(h). Factor 0 - 2/11*k**4 + x*k - 2/11*k**5 + 2/11*k**3 + 2/11*k**2.
-2*k**2*(k - 1)*(k + 1)**2/11
Let v = -56 + 59. Let o(y) be the third derivative of 0*y + 1/90*y**5 + 1/18*y**4 + 0 + 1/9*y**v - 2*y**2. What is p in o(p) = 0?
-1
Suppose 756/5*c**2 - 462/5*c**3 + 81/5 - 486/5*c - 12/5*c**5 + 123/5*c**4 = 0. What is c?
1/4, 1, 3
Let l(b) be the second derivative of -b**8/2352 - b**7/735 - b**6/840 + b**2/2 - b. Let r(d) be the first derivative of l(d). Suppose r(x) = 0. Calculate x.
-1, 0
Let h = 945/3002 - 11/38. Let x = h + 73/237. Suppose 0*n - x*n**4 + 0 - 1/3*n**2 - 2/3*n**3 = 0. What is n?
-1, 0
Let d(l) = l. Let n(t) = 3*t**2 - 6*t - 12. Let b(z) = -6*d(z) - n(z). Let b(i) = 0. What is i?
-2, 2
Let w(d) be the third derivative of 0*d**4 + 0*d**3 - 3/80*d**6 + 0*d + 1/224*d**8 + 0*d**7 + 1/20*d**5 + 3*d**2 + 0. Determine f, given that w(f) = 0.
-2, 0, 1
Let t(i) be the second derivative of -i**7/315 + i**6/180 + i**5/90 - i**4/36 - 3*i**2/2 - 6*i. Let z(l) be the first derivative of t(l). Factor z(f).
-2*f*(f - 1)**2*(f + 1)/3
Let q(c) = 3*c**2 + 2*c - 1. Let g be q(1). Determine t so that -8*t**2 - 10*t**4 - 2*t**5 + g*t**3 + 0*t + 0*t - 20*t**3 = 0.
-2, -1, 0
Let t = -65 + 45. Let h be (-3 - t/6)*1. Determine c so that -h - 2/3*c + 8/3*c**2 = 0.
-1/4, 1/2
Let k(w) = 6*w**2 + 3*w - 5. Let z(x) = x**2 + x - 1. Let g(r) = k(r) - 4*z(r). Let t be g(-1). Factor -13*q + 7*q**t + 17*q - q**2 - 2*q**4.
-2*q*(q - 2)*(q + 1)**2
Factor 1/8*z**3 + 1/8*z + 0 + 1/4*z**2.
z*(z + 1)**2/8
Let g(t) = t**3 + t**2 + t. Suppose 5*q = -2*d - 33, q - 2 + 19 = -3*d. Let c(o) = 5*o**3 + 2*o**2 + 5*o. Let x(f) = d*g(f) + c(f). Find i, given that x(i) = 0.
0, 1
Suppose 4*j - 3*s = -s - 6, 4*s = 4*j + 12. Suppose -2*r - 851 = -851. Factor -4/9*c**3 + j*c + r + 2/9*c**4 + 2/9*c**2.
2*c**2*(c - 1)**2/9
Let p = -31 + 40. Let h be 1 - (1*-3)/1. Find t, given that 31*t**3 - 3*t**2 - 1 - 17*t**3 + p*t**2 + 3*t**5 - t + 11*t**h = 0.
-1, 1/3
Let z(b) be the third derivative of -b**8/840 + b**7/420 + b**6/180 - b**5/60 - 3*b**3/2 - 3*b**2. Let x(l) be the first derivative of z(l). Factor x(o).
-2*o*(o - 1)**2*(o + 1)
Suppose -5*c = l - 47, c + 3*c = 16. Factor 3*i**4 + 6 - 4*i - 16*i + 5*i - 15*i**3 - 6*i + l*i**2.
3*(i - 2)*(i - 1)**3
Let b = 21 - 19. Suppose -b*v = 4*v. Find y, given that 0*y**2 + v + 2/3*y**4 + 0*y**3 + 0*y = 0.
0
Let q(v) be the first derivative of v**6/6 + v**5 + 7*v**4/4 - v**3/3 - 4*v**2 - 4*v + 29. Factor q(x).
(x - 1)*(x + 1)**2*(x + 2)**2
Suppose 3*f - 2*o = 7, 1 - 11 = -3*f - o. Determine n so that 4/13 - 2/13*n**f - 4/13*n**2 + 2/13*n = 0.
-2, -1, 1
Let f(y) be the third derivative of y**10/16800 - y**9/20160 - y**8/3360 - y**5/60 + 5*y**2. Let p(s) be the third derivative of f(s). Solve p(l) = 0.
-2/3, 0, 1
Let r be 0 - 0 - -2 - 0. Factor -50*h**3 - 2 - 7*h**5 - 18*h**4 - 12*h**4 - 15*h + 17*h**r - 57*h**2.
-(h + 1)**4*(7*h + 2)
Let i be 7/2 - 18/12. Let -4 - p**i + 0*p**2 + 8*p - 5*p**2 + 2*p = 0. Calculate p.
2/3, 1
Let j = 39 + -34. Let x be (20/(-3))/j + 2. Solve 0 - f**3 + x*f + 1/3*f**2 = 0 for f.
-2/3, 0, 1
Let a(x) = -x**3 - 9*x**2 + 11*x + 13. Let c be a(-10). Factor -4*p**5 - 3*p**3 + c*p**5 + 5*p**4 - 2*p**4 + p**2.
-p**2*(p - 1)**3
Let t(g) be the second derivative of -3*g + 0 + 1/5*g**5 + 0*g**4 + g**2 - 1/15*g**6 - 2/3*g**3. Factor t(h).
-2*(h - 1)**3*(h + 1)
Let u = 7 + -8. Let t = 3 + u. Solve 0*y**4 - y**5 - 2*y**5 + y**4 + t*y**4 = 0.
0, 1
Let d be 5 - 8 - 1*-8. Find m, given that -3*m**5 + 13*m**3 - 9*m**3 + m**d - 2*m = 0.
-1, 0, 1
Let g = -281/6 + 47. Let u(v) be the first derivative of -g*v**3 - 4 - 3/4*v**2 - v. Factor u(i).
-(i + 1)*(i + 2)/2
Let