**3 + 6*o + 42*o - 6*o**2 - 10*o**3 + 12*o**3 + 120*o**2 = 0.
-2/5, 0, 8
Let m(t) be the first derivative of 2*t**5/55 + 67*t**4/11 + 2902*t**3/11 - 9112*t**2/11 + 9248*t/11 + 484. Factor m(q).
2*(q - 1)**2*(q + 68)**2/11
Let v(z) be the third derivative of z**5/72 - z**4/18 - z**3/9 - 95*z**2. Factor v(k).
(k - 2)*(5*k + 2)/6
Let m = -132/13 - -671/52. Let j(p) be the first derivative of -7/2*p**3 - p - 17/8*p**4 - m*p**2 - 1/2*p**5 - 1. Let j(t) = 0. What is t?
-1, -2/5
Let g(m) be the third derivative of -1/315*m**5 + 0*m**3 + 0*m**4 + 1/1260*m**6 - 31*m**2 + 0 + 0*m. What is n in g(n) = 0?
0, 2
Suppose 0 = 8*a + 105 - 121. Suppose 0*l + 5/4*l**a + 5/4*l**4 + 5/2*l**3 + 0 = 0. What is l?
-1, 0
Let -1/3*z**5 + 0 - 1/3*z**4 + z**3 + 5/3*z**2 + 2/3*z = 0. Calculate z.
-1, 0, 2
Let t be 255/8 + (-9)/(-72). Let 19 - 4*b**4 + 16 + 24*b**3 + 1 - 24*b + 0 - t*b**2 = 0. Calculate b.
-1, 1, 3
Let z be 78/(-52)*(-12)/9. Let c(u) be the third derivative of -1/84*u**4 - 1/210*u**6 + 5*u**z + 0*u + 1/70*u**5 + 0*u**3 + 0. Factor c(p).
-2*p*(p - 1)*(2*p - 1)/7
Let f(r) be the first derivative of -r**2/2 + r + 28. Let x(c) = c**2 - 2. Let w(j) = -10*f(j) - 5*x(j). Factor w(u).
-5*u*(u - 2)
Let j(p) be the second derivative of p**6/45 - 11*p**5/15 - 4*p**4 - 74*p**3/9 - 25*p**2/3 - 3*p + 7. Factor j(o).
2*(o - 25)*(o + 1)**3/3
Let u = -2007 + 11521/6. Let f = u + 87. Suppose 1/6*j**2 - 1/3*j + f = 0. What is j?
1
Let t = -133/3 + 49. Let x = -27/43 + 511/129. Factor 0 + 4/3*r**2 + x*r**4 - t*r**3 + 0*r.
2*r**2*(r - 1)*(5*r - 2)/3
Let s = 2454 - 7360/3. Factor s*o**2 - 1/3*o**4 + 0*o - 1/3*o**3 + 0.
-o**2*(o - 1)*(o + 2)/3
Let d(j) be the first derivative of -5*j**3/3 + 15*j**2/2 + 13. Find c, given that d(c) = 0.
0, 3
Let p(y) be the third derivative of 9*y**7/1960 - y**6/420 - 9*y**5/280 + y**4/28 + 7*y**3/6 + 8*y**2. Let o(b) be the first derivative of p(b). Factor o(f).
3*(f - 1)*(f + 1)*(9*f - 2)/7
Factor 10/3*y + 2/9*y**3 + 0 + 32/9*y**2.
2*y*(y + 1)*(y + 15)/9
Let w(b) = -b + 5. Let k(i) = -i**3 - 9*i**2 + 10*i. Let a be k(-10). Let f be w(a). Solve 2*h**5 + 12*h**3 + 2*h**2 - h**f - 2*h**4 - h - 12*h**3 = 0.
-1, 0, 1
Factor 10/9*b + 1/9*b**3 + 0 - 7/9*b**2.
b*(b - 5)*(b - 2)/9
Suppose -41*k = -44 - 127 + 7. Determine t, given that 2/5*t**k + t - 2*t**3 + 2/5 + t**5 - 4/5*t**2 = 0.
-1, -2/5, 1
Let p(b) be the third derivative of b**5/300 - 23*b**4/30 + 1058*b**3/15 - b**2 + 23. Factor p(o).
(o - 46)**2/5
Let m = -54 - -56. Factor -2 + 270*v**4 - 2*v**2 - 5*v + v**3 - 269*v**4 - v**m.
(v - 2)*(v + 1)**3
Let p = -19013/5 + 3803. Suppose 0 = -4*c + 6 + 2. What is o in 0*o**c + 4/5*o - 2/5*o**4 + p - 4/5*o**3 = 0?
-1, 1
Let z be 1170/72 + -16 - 1/4. Let g(c) be the second derivative of z + 2*c - 2*c**3 + 4*c**2 + 1/3*c**4. Solve g(q) = 0 for q.
1, 2
Let z(j) be the second derivative of 0*j**3 - 1/8*j**4 + 1/40*j**5 - 2*j + j**2 + 0. Find m, given that z(m) = 0.
-1, 2
Let h be 6 + 1 + (-12)/3. Factor h + 4*j**2 - 6*j + j**2 - 4*j**2 + 6.
(j - 3)**2
Let n(m) be the third derivative of -m**7/280 + m**6/120 - 2*m**3/3 + 9*m**2. Let i(v) be the first derivative of n(v). Factor i(g).
-3*g**2*(g - 1)
Let c(q) = 3*q**2 + 18*q. Let d(t) = 10*t**2 + 54*t. Let u(f) = 7*c(f) - 2*d(f). Factor u(i).
i*(i + 18)
Suppose g = -4*g + 15. Find u such that -30*u**g - 18*u**5 - 2*u - 36*u**4 + 20*u**4 - 4*u**2 + 50*u**5 + 20*u**2 = 0.
-1, 0, 1/4, 1
Suppose x - 9 + 2 = 0. Suppose q**3 - 12 + 3*q**4 - 24*q - 3*q**3 - 9*q**2 + q**3 + x*q**3 = 0. Calculate q.
-2, -1, 2
Find j such that 4*j + 37*j**3 + 22*j**3 - 6 + 2*j**4 + 108*j**2 - 138 - 12*j - 17*j**3 = 0.
-18, -2, 1
Let i(b) = -b**2 - 2*b - 1. Let o(n) = 2*n**2 + 7*n + 2. Let g(m) = 11*i(m) + 4*o(m). Solve g(x) = 0.
1
Let u = 186 - 159. Let n be ((-36)/u)/(2/(-3)). Determine a so that 0 + 1/5*a**n + 0*a + 1/5*a**3 = 0.
-1, 0
Let h(k) be the first derivative of 38 + k - 19/24*k**3 - 1/24*k**6 + 11/40*k**5 - 1/4*k**4 + 5/8*k**2. Suppose h(m) = 0. Calculate m.
-1, -1/2, 1, 2, 4
Let n(z) be the second derivative of 0*z**3 - 21/80*z**5 + 3/16*z**4 + 0 + 1/8*z**6 - 1/56*z**7 + 10*z + 0*z**2. Let n(t) = 0. Calculate t.
0, 1, 3
Let y(g) be the second derivative of 7*g**4/24 - 11*g**3/12 + g**2 - 44*g. Factor y(f).
(f - 1)*(7*f - 4)/2
Suppose 0 = 5*o - 19 - 6. Suppose 5 = -3*w - 5*a, -o*w - 4*a + 0 = 4. Determine k so that w - 2*k**3 - 5/4*k**4 + 0*k - 1/4*k**5 - k**2 = 0.
-2, -1, 0
Let a = -150 - -155. Let z(y) be the third derivative of 6*y**2 + 1/12*y**3 - 5/96*y**4 + 0 - 1/80*y**a + 0*y. Factor z(j).
-(j + 2)*(3*j - 1)/4
Factor -1384*b**5 - 66*b**3 + 22*b**3 + 4272*b**5 - 106*b**3 + 2736*b**4 + 2*b**2.
2*b**2*(b + 1)*(38*b - 1)**2
Suppose -12*u = -5*u - 98. Let y = 8 + -2. What is p in 7*p - 4*p**2 - y + u - 3*p = 0?
-1, 2
Let f(x) be the first derivative of x**5/15 + 11*x**4/12 - 4*x**3/3 - 128*x**2/3 + 256*x/3 - 921. Factor f(i).
(i - 4)*(i - 1)*(i + 8)**2/3
Let j(v) be the third derivative of 0 - 8*v**2 + 1/42*v**7 + 15/2*v**3 + 0*v + 1/6*v**6 - 5/2*v**4 - 1/6*v**5. Factor j(f).
5*(f - 1)**2*(f + 3)**2
Let c(x) = x**3 + 7*x**2 - 3*x + 12. Let s be c(-7). Let b be ((-11)/s)/(1/(-6)). Factor 24*m - 12*m**2 + b*m**3 + 5*m**2 + 16 + 19*m**2.
2*(m + 2)**3
Let l(q) be the second derivative of 4*q**7/63 + 29*q**6/45 + 13*q**5/10 - 28*q**4/9 - 16*q**3/9 + 4*q - 3. Let l(p) = 0. Calculate p.
-4, -1/4, 0, 1
Let c = 949598/15 - 63330. Let b = -70/3 - c. Let -4/15*i**2 - 8/15*i**3 + 6/5 + b*i**4 + 8/5*i = 0. What is i?
-1, 3
Let i(u) be the second derivative of -22*u + 1/10*u**6 + 0*u**3 + 0*u**2 + 0 + 0*u**4 + 1/14*u**7 - 3/10*u**5. Factor i(t).
3*t**3*(t - 1)*(t + 2)
Let -55*y**2 - 36*y**2 + 360*y + 3*y**3 + 22*y**2 + 432 = 0. What is y?
-1, 12
Let v(r) = -6*r**2 + 2*r - 2. Let s(y) be the first derivative of 4*y**3 - 3*y**2/2 + 5*y + 1. Let t = 34 + -39. Let b(i) = t*v(i) - 2*s(i). Factor b(w).
2*w*(3*w - 2)
Let w(d) = 10*d**4 + 28*d**3 + 116*d**2 + 32*d - 198. Let o(j) = -j**4 + 2*j**3 + 1. Let p(t) = -6*o(t) - w(t). Factor p(c).
-4*(c - 1)*(c + 3)*(c + 4)**2
Let u(c) be the second derivative of -c**4/60 - c**3/10 + c**2 + c - 11. Let u(t) = 0. Calculate t.
-5, 2
Let s be (1 - (-6)/(-8))/(-29 - (-2124)/72). Find d, given that 0 + 7/2*d**3 + s*d**2 + 0*d + 3*d**4 = 0.
-1, -1/6, 0
Let a(d) = 5*d**2 + 5*d + 4. Suppose x + 4 = 3. Let f be a(x). Factor 1/3*p - 1/3*p**f - p**2 + p**3 + 0.
-p*(p - 1)**3/3
Suppose 65 + 5*g**2 + 2 + 533*g - 578*g + 23 = 0. What is g?
3, 6
Let x(i) be the third derivative of 13/105*i**5 - 5/1176*i**8 - 17/210*i**6 + 0 + 1/21*i**3 - 6*i**2 - 3/28*i**4 + 1/35*i**7 + 0*i. Factor x(h).
-2*(h - 1)**4*(5*h - 1)/7
Let d(f) be the third derivative of 4*f**8/21 + 16*f**7/21 - 31*f**6/30 - 22*f**5/15 - f**4/2 + f**2 + 46. Find a, given that d(a) = 0.
-3, -1/4, 0, 1
Let v(u) be the first derivative of -1/2*u**4 + 4*u**2 + 16*u - 4/3*u**3 + 6. Factor v(a).
-2*(a - 2)*(a + 2)**2
Let j(s) be the first derivative of -s**4/2 - 10*s**3/3 - 2*s**2 + 16*s - 131. Factor j(t).
-2*(t - 1)*(t + 2)*(t + 4)
Let b = 177 - 177. Let r(s) be the second derivative of 4*s + b - 1/5*s**2 - 1/10*s**3 + 1/60*s**4 + 1/150*s**6 + 3/100*s**5. Solve r(o) = 0.
-2, -1, 1
Factor 415*t + 5/2*t**2 + 34445/2.
5*(t + 83)**2/2
Let g(w) be the first derivative of w**7/1575 + w**6/150 + w**5/90 + 2*w**2 + 8*w - 23. Let j(c) be the second derivative of g(c). Factor j(x).
2*x**2*(x + 1)*(x + 5)/15
Suppose 2*q**2 + 6502*q + 25 + 23 + 80 - 6632*q = 0. Calculate q.
1, 64
Let u be (-44)/(-8) - (0 + 2). Let c = u - 3. Find i such that -3/4*i + c + 1/4*i**2 = 0.
1, 2
Let h(b) be the second derivative of b**7/630 + b**6/60 + b**5/15 + 5*b**4/12 - 12*b. Let x(z) be the third derivative of h(z). Let x(q) = 0. Calculate q.
-2, -1
Let o(n) be the third derivative of n**7/70 + n**6/8 + 3*n**5/10 - n**4/2 - 4*n**3 - n**2 - 101*n. Let o(w) = 0. Calculate w.
-2, 1
Let k = -17/42 - -4/7. Let y = 5819/210 - 964/35. Factor y*m**2 + k + 1/3*m.
(m + 1)**2/6
Suppose -65/2*j**3 + 2 - 20*j + 101/2*j**2 = 0. Calculate j.
2/13, 2/5, 1
Let g(s) = -3*s**2 - 278*s - 6348. Let l(m) = -m. Let w(q) = g(q) - 2*l(q). Factor w(y).
-3*(y + 46)**2
Let k(z) be the first derivative of 0*z + 8 - 3/8*z**4 + 3/4*z**2 - 3/20*z**5 + 1/4*z**3. Factor k(r).
-3*r*(r - 1)*(r + 1)*(r + 2)/4
Suppose 0 = 