**3.
2*(u - 1)*(3*u - 1)*(4*u - 1)
Let u(o) be the third derivative of 1/240*o**5 + 0*o - 5*o**2 + 0 + 0*o**4 + 0*o**3 - 1/480*o**6. Solve u(z) = 0.
0, 1
Factor 30 - 103 + 30*a - 3*a**2 - 2.
-3*(a - 5)**2
Let b(p) be the third derivative of 0 + 1/150*p**5 + 0*p**4 + 1/300*p**6 + p**2 + 0*p**3 + 0*p. Determine x so that b(x) = 0.
-1, 0
Determine j, given that -4/3*j**5 + 0*j - 2*j**3 + 1/3*j**2 + 0 + 3*j**4 = 0.
0, 1/4, 1
Let h(z) = -z**2 + 13*z - 4. Let c(d) = d + 6. Let k be c(5). Let t(i) = -i - 11 + k. Let o(m) = 2*h(m) + 18*t(m). Factor o(j).
-2*(j - 2)**2
Let y(h) be the third derivative of h**5/420 + h**4/84 + h**3/42 + 9*h**2. Find z, given that y(z) = 0.
-1
Let b(n) be the first derivative of n**6/15 + 3*n**5/10 + n**4/2 + n**3/3 + 4*n - 1. Let a(c) be the first derivative of b(c). What is g in a(g) = 0?
-1, 0
Let q = 6 - 0. Let z(a) be the third derivative of -1/1176*a**8 + 0*a**4 + 1/735*a**7 - 2*a**2 + 0*a + 0 + 1/420*a**q - 1/210*a**5 + 0*a**3. Factor z(p).
-2*p**2*(p - 1)**2*(p + 1)/7
Suppose 7*c - 2 = 6*c. Suppose c*v - 4*v = -6. Let v*j**2 - 5*j**2 + 4 + 6*j + 4*j**2 = 0. Calculate j.
-2, -1
Let c(o) be the second derivative of -o**6/1440 - o**5/120 - o**4/24 - o**3/6 - 3*o. Let w(g) be the second derivative of c(g). Suppose w(t) = 0. What is t?
-2
Let o(j) be the third derivative of j**7/1155 - 7*j**6/660 + 4*j**5/165 + 4*j**4/33 + 45*j**2. Factor o(z).
2*z*(z - 4)**2*(z + 1)/11
Let x(r) = -18*r**5 + 54*r**4 + 22*r**3 + 2*r + 2. Let q(i) = 17*i**5 - 55*i**4 - 21*i**3 - 3*i - 3. Let o(u) = -2*q(u) - 3*x(u). Solve o(h) = 0 for h.
-2/5, 0, 3
Let d(b) = -3*b**3 - 20*b**2 - 59*b - 26. Let k(w) = -6*w**3 - 39*w**2 - 120*w - 51. Let h(s) = 9*d(s) - 4*k(s). Factor h(n).
-3*(n + 1)*(n + 2)*(n + 5)
Let -4/3*h**3 + 2/9*h**4 + 0 + 4/9*h + 4/9*h**5 + 2/9*h**2 = 0. What is h?
-2, -1/2, 0, 1
Let j(n) = -n**2. Let i(y) = 2*y**2 - y. Let f(g) = g**3 - 6*g**2 - 4*g - 2. Let o be f(7). Suppose 4 - o = 5*a. Let p(d) = a*j(d) - i(d). Factor p(b).
b*(b + 1)
Let d = 6 + -1. Suppose 2*i - 8 = -d*a, 3*i + 3*a = a + 12. Factor h**3 - h**2 - 2*h**4 + 2*h**4 - h**5 + h**i.
-h**2*(h - 1)**2*(h + 1)
Let v be (-16)/(-12)*3/2. Let l(s) be the third derivative of -1/120*s**6 + 2*s**v + 1/6*s**3 + 1/24*s**4 - 1/60*s**5 + 0 + 0*s. Factor l(p).
-(p - 1)*(p + 1)**2
Let k(g) = -3*g**3 - 2*g - 1. Let m be k(-1). Let t be 5/3*6/15. Factor -t*p**3 + 0 + 2/3*p**2 + 2/3*p - 2/3*p**m.
-2*p*(p - 1)*(p + 1)**2/3
Let r be -1 - (1 - 4) - 0. Suppose -y + r*y = 0. Suppose y*t + 0 - 1/2*t**3 - 1/2*t**2 = 0. What is t?
-1, 0
Let o(m) be the third derivative of -m**5/90 + m**4/18 - m**3/9 + 13*m**2. Factor o(b).
-2*(b - 1)**2/3
Let c(x) be the third derivative of 1/3*x**4 + 2/7*x**7 - 2/5*x**5 + 0*x**3 + 25/168*x**8 - 11/60*x**6 + 0 + x**2 + 0*x. Factor c(i).
2*i*(i + 1)**2*(5*i - 2)**2
Let c(f) = -f + 11. Let o be c(8). Determine a, given that -o*a**2 + 5*a**3 + 3 + a**3 - 21*a + 15*a = 0.
-1, 1/2, 1
Let p(h) = -h**3 - 11*h**2 + h + 16. Let d be p(-11). Let 1/2*f - f**3 + 0*f**4 + 1/2*f**d + 0*f**2 + 0 = 0. Calculate f.
-1, 0, 1
Let l(c) be the first derivative of 3*c**5/5 - c**3 + 6. Find r, given that l(r) = 0.
-1, 0, 1
Let f(m) be the second derivative of 0*m**3 + 0 + 3*m + 1/60*m**6 + 1/12*m**4 - 1/2*m**2 - 1/15*m**5. Let u(x) be the first derivative of f(x). Factor u(r).
2*r*(r - 1)**2
Determine y, given that -4/3 - 2/3*y**3 - 8/3*y**2 - 10/3*y = 0.
-2, -1
Let w(t) be the second derivative of -25*t**7/126 - 7*t**6/18 + 7*t**5/30 + 17*t**4/18 + 11*t**3/18 + t**2/6 + 16*t. Suppose w(q) = 0. Calculate q.
-1, -1/5, 1
Let d(k) be the first derivative of k**4 + 4*k**3/3 - 7. Suppose d(p) = 0. Calculate p.
-1, 0
Let g(r) be the first derivative of -5*r**6/6 - r**5 + 5*r**4/4 + 5*r**3/3 - 16. Determine q so that g(q) = 0.
-1, 0, 1
Let d(b) = 3*b**2 + 5*b + 9. Let v(o) = o**2 + 2*o + 3. Let h(x) = -2*d(x) + 7*v(x). Solve h(t) = 0.
-3, -1
Let n(z) be the first derivative of -z**4/4 - z**3/3 + z**2/2 + z + 39. Factor n(v).
-(v - 1)*(v + 1)**2
Suppose -2*n + 4*n - 62 = 0. Suppose 4*b - n = -5*g, 0*g = g + 5*b - 23. Determine w, given that 2/7*w - 2/7*w**g + 2/7*w**4 - 2/7*w**2 + 0 = 0.
-1, 0, 1
Suppose c**3 - 1/2*c - 1/2 + c**2 - 1/2*c**4 - 1/2*c**5 = 0. Calculate c.
-1, 1
Let m(r) be the second derivative of r**8/16800 - r**6/600 - r**5/150 + 7*r**4/12 + 3*r. Let l(k) be the third derivative of m(k). Factor l(b).
2*(b - 2)*(b + 1)**2/5
Let g(j) be the second derivative of 1/120*j**6 + 0*j**2 + 0*j**4 + 1/84*j**7 - 3*j + 0*j**3 + 0 + 0*j**5. Determine v, given that g(v) = 0.
-1/2, 0
Let q(j) be the first derivative of 3 - 2/9*j + 2/9*j**2 - 2/27*j**3. Solve q(m) = 0 for m.
1
Let x(l) be the second derivative of 7/45*l**6 + 0*l**2 + 0*l**3 - 1/6*l**5 + 4*l + 0 - 1/9*l**4. Find i such that x(i) = 0.
-2/7, 0, 1
Suppose k + 0*k = 2. Factor 3*b**2 + 0*b**2 - 6*b + k*b**2 + 3*b**3 - 2*b**2.
3*b*(b - 1)*(b + 2)
Suppose -4*i + 12 = 0, 3*i + 0 = -2*n + 9. Let z(q) be the first derivative of 0*q**2 - 2 + n*q**3 + 1/4*q**4 + 0*q. Factor z(u).
u**3
Let x = -26 + 29. Let c(i) be the first derivative of -1 + 2/21*i**x + 0*i - 1/7*i**2. Factor c(r).
2*r*(r - 1)/7
Let l(y) be the first derivative of -2*y**3/9 + 8*y/3 - 5. Determine n, given that l(n) = 0.
-2, 2
Let g(a) be the first derivative of -a**4/2 + 10*a**3/9 + 11*a**2/3 + 2*a - 4. Factor g(f).
-2*(f - 3)*(f + 1)*(3*f + 1)/3
Factor 0*k**2 + 0*k**4 + 8*k**2 + 4*k**3 - 4*k**4 + 0*k**4.
-4*k**2*(k - 2)*(k + 1)
Let p(n) be the second derivative of -n**6/20 + 5*n**5/24 - 7*n**4/24 + n**3/12 + n**2/6 - 6*n. What is l in p(l) = 0?
-2/9, 1
Let v(l) be the first derivative of l**7/35 + l**6/8 + 3*l**5/20 - l**4/8 - l**3/2 + l**2 + 4. Let c(f) be the second derivative of v(f). Factor c(d).
3*(d + 1)**3*(2*d - 1)
Find f, given that 0 + 2/3*f + 2/3*f**2 = 0.
-1, 0
Let g = -727 + 730. Factor -2 - 9/2*w**g - 8*w - 21/2*w**2.
-(w + 1)*(3*w + 2)**2/2
Let m(w) be the first derivative of 25*w**4/14 + 190*w**3/21 + 17*w**2 + 14*w - 20. Factor m(v).
2*(v + 1)*(5*v + 7)**2/7
Let i(v) be the first derivative of 8/5*v - 4/5*v**2 + 2/15*v**6 - 1 - 22/25*v**5 - 22/15*v**3 + 2*v**4. Find b, given that i(b) = 0.
-1/2, 1, 2
Let f(o) be the second derivative of -o**7/336 + o**5/80 - o**3/48 + o. Let f(q) = 0. What is q?
-1, 0, 1
Let c = -19 - -21. Suppose -6*w + 3*w**4 + 15*w**3 + 8*w**c + 10*w**2 - 24 - 6*w = 0. Calculate w.
-2, 1
Let w be 2 + -1 + 2/2. Suppose -w*x - 5 = d - 12, 4*x + 5*d - 17 = 0. Factor 0*n + 2/3*n**x + 1/3*n**2 + 0 + 1/3*n**4.
n**2*(n + 1)**2/3
Let 14 + q**3 - 14 + 0*q**4 + q**5 - 2*q**4 = 0. What is q?
0, 1
Suppose 4*c - 9 + 25 = 4*n, 0 = -3*n - c + 16. Suppose -2*v + n = 1. Factor -1 + 2 - 7*y**v - 5 - 16*y.
-(y + 2)*(7*y + 2)
Let u be 4/(-12) + (-14)/(-32). Let c(z) be the third derivative of 1/40*z**5 + 0 - z**2 - u*z**4 + 0*z + 1/6*z**3. Factor c(g).
(g - 1)*(3*g - 2)/2
Let d(r) be the second derivative of -r**5/10 + 3*r**4/2 - 5*r**3 + 7*r**2 + 33*r. Determine n, given that d(n) = 0.
1, 7
Let w(y) = y - 1. Let p be w(3). Solve 0*r**3 + 4*r**3 - 3*r**3 + r**p = 0.
-1, 0
Suppose 5*f - 28 = -4*c, 5*f - 2*c + 5*c = 26. Factor -2/13 + 14/13*p**3 + 10/13*p - 18/13*p**2 - 4/13*p**f.
-2*(p - 1)**3*(2*p - 1)/13
Determine k, given that -5/2*k - 3 + 1/2*k**2 = 0.
-1, 6
Let c(x) = x**2 + x + 3. Let t(m) = m**2 + m + 4. Let d(y) = -4*c(y) + 3*t(y). Determine q so that d(q) = 0.
-1, 0
Let j(c) = c**2 + c. Let v(y) = -7*y**2 + y + 2. Let h(o) = -4*j(o) - v(o). Let u be h(2). Factor -9/5*b**2 + 3/5*b**3 + 6/5*b + u.
3*b*(b - 2)*(b - 1)/5
Let q(u) = -u**2 - u - 1. Suppose -m - m = -28. Let v(b) = 8*b**2 + 13*b + 16. Let x(y) = m*q(y) + 2*v(y). Factor x(s).
2*(s + 3)**2
Let s(h) be the first derivative of -h**7/700 + h**6/180 - h**5/150 + 2*h**3/3 - 1. Let v(o) be the third derivative of s(o). Let v(l) = 0. What is l?
0, 2/3, 1
Let j(p) be the third derivative of -1/3*p**3 + 0 + 2*p**2 + 1/8*p**4 - 1/60*p**5 + 0*p. Factor j(o).
-(o - 2)*(o - 1)
Let q(p) be the second derivative of p**6 + 22*p**5/5 + 25*p**4/6 - 8*p**3/3 - 4*p**2 + 11*p. Determine l, given that q(l) = 0.
-2, -1, -1/3, 2/5
Let k be 57/15 + 1/5. Let t be ((-6)/4)/((-2)/k). Solve 2*q + 2/3 + 4/3*q**2 - 2*q**4 - 4/3*q**t - 2/3*q**5 = 0.
-1, 1
Let h(m) = m**3 - m - 1. Let t(s) = -8 + 2*s**3 + 5*s*