t derivative of 2*d**3/33 - 71*d**2/11 - 262. Factor c(j).
2*j*(j - 71)/11
Factor 154/5*f + 2/5*f**3 + 196/5 + 32/5*f**2.
2*(f + 2)*(f + 7)**2/5
Let k(d) be the first derivative of -d**4/16 + 7*d**3/4 - 15*d**2 + 25*d - 73. Factor k(g).
-(g - 10)**2*(g - 1)/4
Suppose 30*y - 10*y = -34*y + 108. Suppose -2/9*v**3 + 0*v**y - 4/9 + 2/3*v = 0. Calculate v.
-2, 1
Solve -448/5*q - 2/5*q**2 - 25088/5 = 0 for q.
-112
What is q in -12*q**4 - 12*q - 12 - 13*q - 20*q - 3*q**2 + 9*q + 36*q**3 = 0?
-1/2, 2
Let o be (-10651)/(-77) - (-68)/(-374). Let a = -137 + o. Determine u so that -6/7*u**3 + 0 - 2/7*u**5 - 8/7*u**4 + 8/7*u**2 + a*u = 0.
-2, -1, 0, 1
Let v(c) = -32*c**3 - 3*c**2 - 4*c + 33*c**3 + c + c**2. Let r(x) = -2*x**3 + x**2 + 2*x - 1. Let w(i) = -4*r(i) - 6*v(i). Let w(m) = 0. Calculate m.
-2, -1
Let y(d) be the second derivative of -d**6/45 + 3*d**5/10 - 5*d**4/6 + 7*d**3/9 - 561*d. Factor y(v).
-2*v*(v - 7)*(v - 1)**2/3
Suppose 0*v - 6*v = 5*v. Let f(r) be the third derivative of 3*r**2 + 1/40*r**6 + 0*r**3 + 0*r + 1/2*r**4 + 1/5*r**5 + v. Suppose f(b) = 0. Calculate b.
-2, 0
Solve 2/3*u**3 - 16 - 52/3*u**2 + 98/3*u = 0 for u.
1, 24
Let i = -10 + 1. Let w(d) = -d**3 - 9*d**2 + d + 11. Let x be w(i). Let p(g) = g**2 - 8*g - 3. Let c(v) = -8*v - 4. Let o(m) = x*p(m) - 3*c(m). Factor o(l).
2*(l + 1)*(l + 3)
Let a = -41 + 44. Factor 10 + a*f + f**2 + 3*f**2 - 27*f + 26.
4*(f - 3)**2
Factor 2/7*q**3 + 30/7*q**2 - 64/7 - 36/7*q.
2*(q - 2)*(q + 1)*(q + 16)/7
Let b(c) be the second derivative of c**7/84 - 19*c**6/180 + 17*c**5/60 - c**4/18 - 2*c**3/3 - 686*c. Suppose b(z) = 0. What is z?
-2/3, 0, 2, 3
Let r be (-18630)/(-9108) - 1/22. Let -9/2 + 15/4*k - 3/4*k**r = 0. Calculate k.
2, 3
Let o be (13/26)/((-2)/2)*4. Let d be (0 - o/(-3))*(8 - 11). Solve 14/5*g**5 - 4/5*g**3 - 2*g**4 + 0 + 0*g**d + 0*g = 0 for g.
-2/7, 0, 1
Let l = 21720 + -43425/2. Determine g so that 3*g + l*g**2 + 0 = 0.
-2/5, 0
Factor -47*g**3 + 6*g**4 + 2*g**5 - 34*g**3 + 61*g**3.
2*g**3*(g - 2)*(g + 5)
Let y be 25/(-1) - (-47539)/1735. Factor -1/5*t**3 + 0 - y*t**2 - 36/5*t.
-t*(t + 6)**2/5
Find y such that 0*y + y**5 - 12/5*y**3 - 3/5*y**4 + 0 - 4/5*y**2 = 0.
-1, -2/5, 0, 2
Let u = 6960 - 48710/7. Determine y, given that 2/7*y**5 + 0 - u*y**3 + 8/7*y - 6/7*y**2 + 6/7*y**4 = 0.
-4, -1, 0, 1
Let p = 8582 - 8582. Factor 10/11*b**3 - 8/11*b**2 + p - 2/11*b.
2*b*(b - 1)*(5*b + 1)/11
Suppose 1210 + 44*k + 2/5*k**2 = 0. What is k?
-55
Let v(o) = 4*o - 36. Let r(f) = 3*f - 37. Let t(d) = -5*r(d) + 6*v(d). Let x be t(4). Let 0*m**4 + 2*m**3 + 0 - 2/3*m**x + 4/3*m**2 + 0*m = 0. What is m?
-1, 0, 2
Let m be (-1 + 4 - 2)/3. Let z(a) = 2*a + 50. Let o be z(-24). Factor -2*t - m*t**o - 3.
-(t + 3)**2/3
Let p(f) = -2*f**2 - 6*f + 4. Let t be p(-3). Factor v**2 - 2 - t*v - 1 + 6*v - 4*v.
(v - 3)*(v + 1)
Let x = 10868 + -32594/3. What is r in 26/9*r - 2/9*r**3 + x*r**2 + 4/9 - 10/9*r**4 = 0?
-1, -1/5, 2
Let y(p) be the first derivative of -2*p**3/3 - 25*p**2 - 390. Solve y(s) = 0 for s.
-25, 0
Let j be 185/296 - 3/8. Factor -n**3 + n - 1/4*n**2 + j.
-(n - 1)*(n + 1)*(4*n + 1)/4
Suppose 16*h - h = 165. Let u = h - 5. Solve 85/3*k**3 - 12*k + 8/3 - 25*k**4 + u*k**2 = 0.
-2/3, 2/5, 1
Suppose 3*h - 18 = -0*h. Let y = h - 11/2. Factor 0 - y*w**2 + w.
-w*(w - 2)/2
Let w(f) be the second derivative of -f**6/75 - 2*f**5/25 + 3*f**4/5 - 4*f**3/3 + 7*f**2/5 + 25*f. Find d such that w(d) = 0.
-7, 1
Suppose -n + 6 = f, -f - 3 = -4*n + 2*f. Factor -20/7*p**n + 24/7*p**2 + 2/7 + 6/7*p**4 - 12/7*p.
2*(p - 1)**3*(3*p - 1)/7
Determine a, given that 182/9*a**2 - 10/9*a**4 - 92/3*a + 8/3*a**3 + 80/9 = 0.
-4, 2/5, 1, 5
Let u(o) be the first derivative of 160*o - 12 + o**3 + 21*o**2 - 13*o + 33. Let u(p) = 0. What is p?
-7
Let a(y) be the third derivative of y**8/840 - y**7/525 - 2*y**6/25 + 44*y**5/75 - 28*y**4/15 + 16*y**3/5 + 523*y**2. Solve a(l) = 0 for l.
-6, 1, 2
Let x(m) = -m**5 + m**4 + m. Let o be ((-24)/(-30))/((-3)/(-45)). Let i(l) = -4*l**4 + 4*l**3 - 12*l. Let p(c) = o*x(c) + i(c). Factor p(j).
-4*j**3*(j - 1)*(3*j + 1)
Let x(m) be the second derivative of -25/12*m**4 - 15/2*m**2 + 1/4*m**5 + 0 + 35/6*m**3 - 13*m. Factor x(s).
5*(s - 3)*(s - 1)**2
Let k(i) be the third derivative of 0*i - 1/5*i**5 - 30*i**2 + 13/8*i**4 + 0 - 3/2*i**3. Factor k(c).
-3*(c - 3)*(4*c - 1)
Let z be -1*(2 - (1 - -4)). Let h = 1273 + -1271. Find c, given that 0*c - 2/3*c**h - 2/3*c**z + 0 = 0.
-1, 0
Let s(c) = 2*c**2 - 5*c + 3. Let u be s(3). Let d(r) = -2*r**2 + 13*r - 4. Let n be d(u). Factor 2/7*q**n + 2/7*q + 0.
2*q*(q + 1)/7
Suppose w - 2*v - 17 = -0*v, 1 = w + 2*v. Determine m, given that -39*m - 3*m**2 - w - 3 + 24*m = 0.
-4, -1
Let s = -11/135 + 4/27. Let b(t) be the first derivative of 0*t + 0*t**2 + 1 + s*t**3 - 1/25*t**5 - 1/30*t**6 + 1/20*t**4. Solve b(z) = 0 for z.
-1, 0, 1
Factor 5476/3 - 284/3*g**4 + 4/3*g**5 + 15544/3*g**2 + 4600/3*g**3 + 16132/3*g.
4*(g - 37)**2*(g + 1)**3/3
Let o be (11 - 14) + 12 + -9. Determine n, given that 3/5*n**3 - 6/5*n**4 + 6/5*n**2 - 3/5*n**5 + 0 + o*n = 0.
-2, -1, 0, 1
Let k = 25 - 26. Let h(i) = 2*i**3 + 2*i**2 - 2*i. Let t(z) = -z**2 - 1. Let p(d) = k*t(d) - h(d). Factor p(y).
-(y - 1)*(y + 1)*(2*y + 1)
Suppose -135 = 3*w - z, 4*w + 0*z - z + 179 = 0. Let u = -42 - w. Factor -1/2*l**3 + 1/2*l + 1/3 - 1/3*l**u.
-(l - 1)*(l + 1)*(3*l + 2)/6
Factor -26/7*v**2 - 20/7*v + 0 - 4/7*v**3 + 2/7*v**4.
2*v*(v - 5)*(v + 1)*(v + 2)/7
Let u(l) be the third derivative of 0*l + 1/21*l**3 + 0 - 1/21*l**4 - 11/210*l**5 - 1/70*l**6 + 5*l**2. Let u(o) = 0. What is o?
-1, 1/6
Suppose 5*h - 77 + 2 = -5*w, 0 = -3*w - h + 43. Suppose -2*f - 3*a + w = 0, -2*f + 2 = a - 4*a. Let 5 + 7 - 36*c**2 - 12*c - 16*c - f = 0. Calculate c.
-1, 2/9
Let d = 8 - 1. Suppose 9*v - d*v = 6. Determine n so that -5*n**v + 0*n**2 - n**4 - 15*n - 5*n**2 + 10 + 20*n**3 - 4*n**4 = 0.
-1, 1, 2
Factor 2/13*w**2 - 48/13 - 20/13*w.
2*(w - 12)*(w + 2)/13
Suppose 3*r - 204 = -w + r, -w = 4*r - 200. Determine i, given that 2*i**3 - 2*i**2 + w*i - 208*i + 10*i**4 + 6*i**5 = 0.
-1, 0, 1/3
Solve -1/4*u**4 + 5*u**2 + 0 + 0*u + 2*u**3 = 0.
-2, 0, 10
Let n(h) = -h**2 + 2*h + 2. Let m(b) = -4*b**2 + 6*b + 7. Let q(k) = 2*m(k) - 7*n(k). Suppose q(p) = 0. Calculate p.
-2, 0
Let c(u) be the first derivative of -u**3/30 + 11*u**2/10 - 21*u/10 + 231. Solve c(z) = 0.
1, 21
Let l(k) = 15*k**5 - 34*k**4 + 19*k**3 + 6*k**2. Let h(r) = 2*r**5. Let s(w) = 6*h(w) - 2*l(w). Determine y, given that s(y) = 0.
-2/9, 0, 1, 3
Let p be ((-51)/9 + 3)*(348/16)/(-29). Let 2/5*t**2 + p*t + 6/5 - 2/5*t**3 = 0. Calculate t.
-1, 3
Let i(f) be the third derivative of -f**5/30 + 3*f**4 + 37*f**3/3 - 2*f**2 - 6*f. Solve i(h) = 0 for h.
-1, 37
Let q be (-2)/105*79/(-158). Let l(r) be the third derivative of q*r**7 - 1/30*r**5 + 0*r**3 - 5*r**2 - 1/24*r**4 + 0*r + 0 + 0*r**6 + 1/336*r**8. Factor l(t).
t*(t - 1)*(t + 1)**3
What is a in 2/7*a**2 - 180/7 - 54/7*a = 0?
-3, 30
Let t(c) be the second derivative of 3/130*c**5 - 1/195*c**6 - 3*c - 1/273*c**7 + 1/78*c**4 + 0 - 2/39*c**3 + 0*c**2. Solve t(n) = 0.
-2, -1, 0, 1
Let q(k) be the third derivative of k**6/60 + 4*k**5/15 - 11*k**4/4 - 9*k**2 - 5. Factor q(a).
2*a*(a - 3)*(a + 11)
Suppose -y + 0*y = -2. Factor -4*f**4 + 2*f**2 - 2*f**3 + 3*f**3 + 3*f**3 - 4*f**5 + y*f**2.
-4*f**2*(f - 1)*(f + 1)**2
Suppose -f + 3*g = -1 - 9, -6 = -3*g. Find o such that -f*o**2 + 8*o - 2*o**2 + 30*o**2 + 4*o**3 = 0.
-2, -1, 0
Let a = 145 + -4787/33. Let w = 95/66 - a. Factor -w*r**2 - 3/2*r**3 + 0*r + 0.
-3*r**2*(r + 1)/2
Let j be (2/3)/(2/36). Suppose 2*u**3 - 28*u + 2*u**4 + 358*u**2 + 2*u - j - 372*u**2 = 0. What is u?
-2, -1, 3
Let f be 5/((-40)/6)*(-70 - 4). Let w = -54 + f. Solve 0*k**3 - 3*k**2 + w*k**5 + 0 + 3*k**4 - 3/2*k = 0 for k.
-1, 0, 1
Let o(n) be the third derivative of -n**6/540 - n**5/135 - n**4/108 - 18*n**2 + 2. Let o(w) = 0. What is w?
-1, 0
Let d(f) = -f + 23. Suppose -80 = -5*c - 5*k, 3*k + 120 = 2*c + 3*c. Let a be d(c). Factor 4/3*y - 2/3*y**a - 2/3*y**3 + 0.
-2*y*(y - 1)*(y + 2)/3
Let i be 1*((-4)/3)/(48/(-108)). Factor 8 - i*k + 19*k - 2 + 4*k**2 + 10.
4*(k + 2)**2
Suppose 0 = -4*j - j + 25, 0 = -3*o + 5*j - 7. Let y be (2/o)/(-3 + (-21)/(-6)). Suppose -f**2 + y + 1/3*f**4 - 1/3*f + 1/3*f**3 = 0. Calculate f.
-2,