+ 13*z**4/9 - 8*z**3/9 + 10*z**2 + 4*z. Factor l(t).
-2*(t - 2)**3*(5*t - 1)/3
Suppose -3*w + 4*u - 29 = -22, 2*u - 8 = 0. Factor 4/9*b + 2/9*b**2 + 0 - 2/9*b**w.
-2*b*(b - 2)*(b + 1)/9
Find p such that -256*p**3 - 341923*p**2 + 342995*p**2 - 1054*p - 34*p - 4*p**4 = 0.
-68, 0, 2
Let a(i) be the second derivative of 0*i**4 - 1/285*i**6 + 0*i**2 + 0 + 0*i**3 - 1/399*i**7 + 1/95*i**5 + 31*i. Factor a(z).
-2*z**3*(z - 1)*(z + 2)/19
Let r = -32 + 34. Determine c so that -6*c**r - 4*c**5 + 7*c - 3*c + 0*c + 8*c**4 - 2*c**2 = 0.
-1, 0, 1
Let c = 1074 - 1063. Let f(j) be the first derivative of 2/21*j**3 - c + 0*j**4 - 1/35*j**5 - 1/7*j + 0*j**2. Determine b so that f(b) = 0.
-1, 1
Let k = 62/123 - 5851/17220. Let h = 1/28 + k. Factor h*o**2 + 2/5*o + 1/5.
(o + 1)**2/5
Let n(y) be the first derivative of 0*y - 2/9*y**3 - 2/15*y**2 - 2/75*y**5 + 6 - 2/15*y**4. What is c in n(c) = 0?
-2, -1, 0
Let f(j) = 9*j**3 + 99*j**2 + 579*j - 669. Let i(s) = -17*s**3 - 196*s**2 - 1159*s + 1339. Let r(p) = 11*f(p) + 6*i(p). Factor r(a).
-3*(a - 1)*(a + 15)**2
Let n(c) be the first derivative of -2 + 1/2*c**6 + 0*c - 48/5*c**5 + 69/2*c**4 + 243/2*c**2 + 144*c**3. Factor n(o).
3*o*(o - 9)**2*(o + 1)**2
Suppose -4/19*d**2 + 0*d + 0 + 6/19*d**4 - 2/19*d**3 = 0. Calculate d.
-2/3, 0, 1
Determine a so that -62 + 68*a - 10 + 4*a**2 + 0 = 0.
-18, 1
Let q(o) be the first derivative of 8 + 4*o**2 + 13 - o**3 + 6 - 7*o**2. Factor q(s).
-3*s*(s + 2)
Let x(g) = -3 - 2 + 11 + g - 7. Let u(p) = -3*p**2 - 8*p + 26. Let v(d) = -u(d) - 2*x(d). Let v(w) = 0. Calculate w.
-4, 2
Let w(x) be the third derivative of x**8/40320 + x**7/1260 + x**6/90 + x**5/3 + 15*x**2. Let i(k) be the third derivative of w(k). Find m, given that i(m) = 0.
-4
Let t(x) be the second derivative of 0 - 1/3*x**3 - 1/12*x**4 + 0*x**2 + 4*x. Suppose t(o) = 0. Calculate o.
-2, 0
Let n(k) = -3*k**5 - 5*k**4 + k**3 + 3*k**2. Let q(x) = -4*x**5 - 5*x**4 + x**3 + 2*x**2. Let a(p) = -3*n(p) + 2*q(p). Factor a(l).
l**2*(l - 1)*(l + 1)*(l + 5)
Suppose 83*k = 66*k. Let u(t) be the second derivative of 1/9*t**4 + k - 2/3*t**3 + 4/3*t**2 + 3*t. Factor u(h).
4*(h - 2)*(h - 1)/3
Suppose -366 + 246 = -30*o. Let h(l) be the first derivative of 10 - 9/2*l + 1/8*l**o + 3/4*l**2 + 5/6*l**3. Factor h(r).
(r - 1)*(r + 3)**2/2
Let d(g) = -8*g**3 - 51*g**2 + 64*g - 10. Let v(x) = -7*x**3 - 49*x**2 + 63*x - 11. Let p(s) = 4*d(s) - 5*v(s). What is l in p(l) = 0?
-15, 1/3, 1
Let q(d) be the second derivative of d**6/2 + 39*d**5/20 - 11*d**4/4 - 13*d**3/2 + 9*d**2 - 94*d - 1. Solve q(x) = 0.
-3, -1, 2/5, 1
Let g(t) be the second derivative of -1/4*t**4 + 2*t**3 - 7*t + 0 - 9/2*t**2. Factor g(j).
-3*(j - 3)*(j - 1)
Let i be 2/(-8) - (63/132)/7. Let s = i - -93/154. Solve 2/7*z**3 - 2/7 + 2/7*z**2 - s*z = 0 for z.
-1, 1
Let j = -14911 - -164023/11. Factor 6/11*h + j*h**2 + 0.
2*h*(h + 3)/11
Let c(q) be the first derivative of q**6/6 + 3*q**5/5 - q**4/4 - 7*q**3/3 + 4*q - 60. Factor c(g).
(g - 1)**2*(g + 1)*(g + 2)**2
Let g(z) be the third derivative of 5*z**8/784 + 16*z**7/245 + 57*z**6/280 + 19*z**5/70 + z**4/7 - 257*z**2. Suppose g(f) = 0. What is f?
-4, -1, -2/5, 0
Let v(q) = 50*q**3 + 410*q**2 - 595*q - 885. Let z(m) = -3*m**3 - 24*m**2 + 35*m + 52. Let f(w) = -2*v(w) - 35*z(w). Let f(d) = 0. What is d?
-5, -1, 2
Let y = 3230 - 3225. Determine v, given that -3/2*v**3 + 0*v + v**y - v**2 + 0 + 3/2*v**4 = 0.
-2, -1/2, 0, 1
Let z = 17781/44 - 1615/4. Factor 6/11*u**3 - z + 18/11*u - 20/11*u**2.
2*(u - 2)*(u - 1)*(3*u - 1)/11
Factor 34/3*w + 2/3*w**4 + 34/3*w**2 + 4 + 14/3*w**3.
2*(w + 1)**2*(w + 2)*(w + 3)/3
Let h(a) be the first derivative of -a**3/5 - 6*a**2 + 27. Factor h(g).
-3*g*(g + 20)/5
Let n = 93 - 117. Let r be (12 + -6)/n + 13/4. Factor 1/2*t**4 - t**2 + 0*t + 1/2*t**r + 0.
t**2*(t - 1)*(t + 2)/2
Let q(u) = 11*u**3 + 13*u**2 + 4*u - 23. Let b(d) = -39*d**3 - 45*d**2 - 15*d + 81. Let a(o) = 5*b(o) + 18*q(o). Factor a(s).
3*(s - 1)*(s + 1)*(s + 3)
Let t be (-8 - (-114)/12)/(18/8). Solve t*h**4 - 10/3*h**2 - 2*h**3 - 4/3*h + 2/3*h**5 + 0 = 0.
-1, 0, 2
Let g(p) be the first derivative of 100/13*p**3 + 2/65*p**5 + 1250/13*p - 500/13*p**2 - 32 - 10/13*p**4. Factor g(q).
2*(q - 5)**4/13
Let t(l) = -5*l**4 - 14*l**3 - 4*l**2. Let p = 46 - 49. Let d(v) = -5*v**4 - 13*v**3 - 3*v**2. Let j(h) = p*t(h) + 4*d(h). Suppose j(r) = 0. Calculate r.
-2, 0
Let q(n) be the first derivative of -1 + 1/3*n**4 - 1/6*n**3 + 0*n**2 - 5*n. Let x(z) be the first derivative of q(z). Find i, given that x(i) = 0.
0, 1/4
Let i be (-2 - -4 - 2)*17/17. Suppose i = -14*c + 32 - 4. Factor 3*n**3 + 16/3*n - 4/3 - 7*n**c.
(n - 1)*(3*n - 2)**2/3
Let m(b) be the third derivative of 0*b - 16*b**2 + 1/40*b**5 - 7/32*b**4 + 0 + 3/8*b**3. Factor m(t).
3*(t - 3)*(2*t - 1)/4
Let h(t) be the second derivative of 0*t**3 + 1/10*t**6 + 0 + 0*t**2 + t**4 - 11*t - 3/5*t**5. Factor h(v).
3*v**2*(v - 2)**2
Let y(q) be the second derivative of 0*q**2 + 1/3*q**3 + 0 + 22*q + 1/12*q**4. Factor y(n).
n*(n + 2)
Let u be ((-140)/8 - 3)*-2. Let v = u - 39. Factor 1/5*k**v - 1/5*k**5 + 1/5*k**3 - 1/5*k**4 + 0*k + 0.
-k**2*(k - 1)*(k + 1)**2/5
Suppose 5*s = 204 + 216. Factor 20*j**2 + 0*j**3 + 4*j**3 + 48 - s + 12*j.
4*(j - 1)*(j + 3)**2
Let b(q) be the third derivative of 0 + 0*q - 1/105*q**7 - 1/20*q**6 - 1/10*q**5 + 0*q**3 - 1/12*q**4 + 21*q**2. Determine o, given that b(o) = 0.
-1, 0
Suppose 9*l - 21*l = -2616. Let z = -1518/7 + l. Factor -2/7*v**5 + 16/7*v + z*v**2 - 12/7*v**3 - 10/7*v**4 + 0.
-2*v*(v - 1)*(v + 2)**3/7
Find a, given that 19*a**2 - 6 + 8*a - 6*a**4 + 10*a**2 + 8*a**3 - 4*a**2 + 14*a**2 - 11*a**2 = 0.
-1, 1/3, 3
Let w(b) be the first derivative of 1/9*b**3 - 1 - 1/6*b**4 + 0*b**2 - 7/15*b**5 + 0*b - 2/9*b**6. Factor w(t).
-t**2*(t + 1)**2*(4*t - 1)/3
Let n = -511 - -519. Let u(h) be the first derivative of -h**4 + 0*h - n + 2/5*h**5 - 14/3*h**3 - 4*h**2. Factor u(k).
2*k*(k - 4)*(k + 1)**2
Let c = -858 + 4294/5. Let r be 0*(4/6 - 6/18). Suppose 0 + 2/5*z**3 + r*z - c*z**2 = 0. Calculate z.
0, 2
Suppose d - 12 = -10. What is p in d*p + 20 - 2*p**2 - p**3 - 20 + 3*p**2 = 0?
-1, 0, 2
Let i(l) = l**2 + 31*l + 232. Let v be i(-19). Let h = 1 - 1. Suppose 0*o + 0 + h*o**v - 1/3*o**5 + 0*o**2 + 1/3*o**3 = 0. Calculate o.
-1, 0, 1
Let s(t) = -t**2 - 12*t - 18. Let w be s(-10). Factor -3*u - 11*u**3 + 30*u**3 - 16*u**3 - 3*u**2 + 6*u**4 - 3*u**w.
3*u*(u - 1)*(u + 1)*(2*u + 1)
Let d(w) be the third derivative of -w**7/17640 + w**6/1008 + w**5/140 + w**4/8 - w**3 + 38*w**2. Let m(h) be the second derivative of d(h). Factor m(l).
-(l - 6)*(l + 1)/7
Suppose 4*x + 5*q = 33, -3*x = -2*q - 34 - 8. Find u such that 4 + 3*u**2 - x*u + 6 - 1 = 0.
1, 3
Let x(y) be the third derivative of -4/3*y**3 + 0 + 1/3*y**4 + 0*y - 15*y**2 - 1/30*y**5. Suppose x(f) = 0. What is f?
2
Let r be 2 + 1972/36 + 10/45. Let k be (-18)/(-6) + (2 - r/12). Let 1/4*a**3 + k*a - 1/2*a**2 + 0 = 0. What is a?
0, 1
Let c(r) be the first derivative of 0*r - 3/4*r**4 - 1/6*r**6 + 0*r**3 + 0*r**2 - 3 + 4/5*r**5. Factor c(q).
-q**3*(q - 3)*(q - 1)
Let 0*x + 0 + 1/3*x**2 + 1/6*x**4 - 1/2*x**3 = 0. What is x?
0, 1, 2
Let x(k) be the third derivative of -k**7/210 + k**6/120 + 17*k**5/60 + 5*k**4/8 - 71*k**2 - 1. Factor x(z).
-z*(z - 5)*(z + 1)*(z + 3)
Let x(a) = -28*a**2 + 136*a - 2312. Let j(m) = -13*m**2 + 68*m - 1156. Let c(i) = -13*j(i) + 6*x(i). Let c(o) = 0. What is o?
34
Let r = 11617/48 + -242. Let k(u) be the third derivative of 0*u - 1/96*u**5 - r*u**4 + 0 + 1/320*u**6 + 1/12*u**3 - 7*u**2. Let k(b) = 0. What is b?
-1, 2/3, 2
Let b(j) = j + 3. Let s be b(0). Let r be 235/(-282)*4/((-20)/3). Factor 1/2*z**s + r*z**2 - z + 0.
z*(z - 1)*(z + 2)/2
Let h(b) be the first derivative of -2*b**5/5 + 7*b**4/2 - 8*b**3/3 - 12*b**2 + 181. Factor h(y).
-2*y*(y - 6)*(y - 2)*(y + 1)
Let m be 22/12*(119/6545)/(4/30). Factor 1/2 - m*h**2 + 1/4*h.
-(h - 2)*(h + 1)/4
Let p = -1266 + 8866/7. Let p*s**3 + 1/7 + 4/7*s + 6/7*s**2 + 1/7*s**4 = 0. What is s?
-1
Let t = 12868 - 12865. Suppose 14/11*w**t - 4/11*w**2 + 2/11 - 7/11*w**5 - 7/11*w + 2/11*w**4 = 0. Calculate w.
-1, 2/7, 1
Let s(z) be the first derivative of z**3 + 87*z**2/2 + 84*z + 320. Factor s(x).
3*(x + 1)*(x + 28)
Let b(i) = i**3 + 3*i**2 + 4. Let f be ((-12)/10)/((-110