 + c + 0*c**2 - 2/15*c**3 - 1/75*c**6. Factor a(b).
-2*b*(b + 1)**2*(b + 2)/5
Suppose -5*o + 21 = x + 3*x, 3*o - 11 = -2*x. Suppose 2*f - 5*f = 4*b - 14, -4*b - 2*f = -12. Solve 1/4*d - 3/4*d**x - 5/4*d**3 + 3/4*d**b + d**5 + 0 = 0 for d.
-1, -1/4, 0, 1
Factor -1/10*i**2 - 1/5 - 3/10*i.
-(i + 1)*(i + 2)/10
Let b(j) be the third derivative of 0*j - 3*j**2 + 1/90*j**5 + 0*j**4 + 0*j**3 - 1/180*j**6 + 0. Factor b(k).
-2*k**2*(k - 1)/3
Let g(s) = 5*s**3 - 4*s**2 - s. Let j = 15 - 21. Let h(u) = 9*u**3 - 7*u**2 - 2*u. Let f(k) = j*h(k) + 11*g(k). Solve f(z) = 0.
0, 1
Let y(d) be the first derivative of 27*d**4/4 - 11*d**3 + 3*d**2 - 4. Determine j, given that y(j) = 0.
0, 2/9, 1
Suppose 0*c = -5*c + 35. Suppose 0 = -c*q + 5*q. Factor -1/4*r**4 + 0*r**2 + 0*r**3 + q + 0*r.
-r**4/4
Let f(w) be the second derivative of -w**6/60 - w**5/40 + w**4/24 + w**3/12 + 18*w. Factor f(z).
-z*(z - 1)*(z + 1)**2/2
Let y be (-64)/60*(-10)/24. Determine s so that -2/9*s**5 - 2/3*s**4 + 2/9 + 2/3*s + y*s**2 - 4/9*s**3 = 0.
-1, 1
Suppose -34/15*i + 16/15*i**3 - 4/15 - 14/15*i**2 = 0. What is i?
-1, -1/8, 2
Let f(t) be the third derivative of 5*t**8/336 + 2*t**7/21 + t**6/6 - t**5/6 - 25*t**4/24 - 5*t**3/3 + 4*t**2. Solve f(z) = 0.
-2, -1, 1
Suppose -9/4 + 9/4*p**3 + 21/4*p**2 - 21/4*p = 0. What is p?
-3, -1/3, 1
Let i = -547 - -549. Suppose -1/4*n + 0 + 1/4*n**i = 0. Calculate n.
0, 1
Let t be (1/(-3))/((-10)/120). Let k(c) be the second derivative of 1/6*c**3 + c - 1/12*c**t + 0*c**2 + 0. Factor k(n).
-n*(n - 1)
Let z(j) be the third derivative of -4/75*j**5 + 25/168*j**8 + 0 + 0*j**3 + 1/5*j**6 + 0*j**4 + 0*j - 2/7*j**7 + 2*j**2. Factor z(q).
2*q**2*(5*q - 2)**3/5
Let f(c) be the first derivative of -2*c**3/21 + 8*c/7 - 10. Factor f(x).
-2*(x - 2)*(x + 2)/7
Let w(c) be the third derivative of c**5/100 - 3*c**4/40 + c**3/5 + 3*c**2. Factor w(t).
3*(t - 2)*(t - 1)/5
Let t(x) = -x + 6. Let i be t(3). Factor -8/5*m**i + 4/5*m + 14/5*m**2 + 0.
-2*m*(m - 2)*(4*m + 1)/5
Let y be 0/(-11) - 4/(-1). Let b(t) be the first derivative of -4/9*t**3 + 0*t - 1/3*t**2 - 1/6*t**y + 2. Determine j so that b(j) = 0.
-1, 0
Factor 1/3*w**3 + 11/3*w - 1 - 19/9*w**2.
(w - 3)**2*(3*w - 1)/9
Let z be 60/35 + (-4)/(-14). Solve -9*s**z - 32*s - 1 + 17 - 11*s**2 = 0 for s.
-2, 2/5
Let v(x) be the first derivative of -5*x**3/3 + 5*x**2 - 5*x - 18. Find n, given that v(n) = 0.
1
Let r = 3 - 0. Let 8*v**r - 8*v**3 + 3*v**4 + 3 - 6*v**2 + 0*v**4 = 0. What is v?
-1, 1
Let o(n) = n**3 + 37*n**2 + 2*n + 78. Let c be o(-37). Factor -3/2*z**2 - z - 1/4*z**c - z**3 - 1/4.
-(z + 1)**4/4
Factor 0*x + 0 + 1/7*x**5 + 0*x**2 + 2/7*x**3 + 3/7*x**4.
x**3*(x + 1)*(x + 2)/7
Factor -6*r**4 + 28*r**2 + 8*r**4 - 4*r + 20*r**3 + 2*r**4 + 16*r.
4*r*(r + 1)**2*(r + 3)
Solve -1/4*g + 1/4*g**2 + 1/4*g**3 - 1/4 = 0.
-1, 1
Let w(t) = 4*t - 5. Let p be w(3). Find y, given that -10*y**2 - 7*y - 1 - 5*y**3 + p*y**2 - 4*y**3 - 12*y**2 = 0.
-1, -1/3
Suppose 2*m**2 + 41 - 3*m**4 - 44 + 0*m**2 + 4*m**2 = 0. What is m?
-1, 1
Factor -8*k**2 - k**2 - 2*k**3 + 7*k**2.
-2*k**2*(k + 1)
Suppose 0 = -z + 1 + 7. Let s be (-2*z)/(20/(-16)). Solve -4/5 - 2*p**5 - 26/5*p - s*p**2 - 44/5*p**4 - 76/5*p**3 = 0 for p.
-1, -2/5
Let q(b) = -3*b**2 - 12*b + 15. Let r(m) = -m**2 - 3*m + 4. Let c(a) = 2*q(a) - 9*r(a). Factor c(g).
3*(g - 1)*(g + 2)
Let b(w) be the first derivative of 4 + 1/2*w**6 + 0*w**2 + 3/5*w**5 - 3/4*w**4 - w**3 + 0*w. What is i in b(i) = 0?
-1, 0, 1
Suppose 4*x = -1 - 27. Let d = -4 - x. Find c, given that -1 - 3*c**2 + d*c + 4 - 3*c = 0.
-1, 1
Factor 1/3*m**2 - 1/9*m**4 - 4/9 + 4/9*m - 2/9*m**3.
-(m - 1)**2*(m + 2)**2/9
Let m(h) = -3*h**2 + 2*h - 3. Let a be m(-3). Let j = -106/3 - a. Factor j + 0*x**2 + 1/3*x**3 - x.
(x - 1)**2*(x + 2)/3
Suppose 2*k = -6 - 4. Let j(r) = -r**2 - 6*r - 3. Let f be j(k). Find m such that -3*m**2 + 4*m**5 + 3*m**2 - 6*m**4 + f*m**3 = 0.
0, 1/2, 1
Let f(z) = -16*z**2 + 8*z + 3. Let d(i) = i - 2*i - 1 + 2*i. Let m be d(-6). Let s(p) = 32*p**2 - 16*p - 5. Let k(j) = m*f(j) - 4*s(j). Solve k(v) = 0 for v.
1/4
Let b(l) be the first derivative of -2*l**5/15 - l**4/3 + 2*l**3/9 + 2*l**2/3 + 4. Factor b(p).
-2*p*(p - 1)*(p + 1)*(p + 2)/3
Suppose 2/5*d**2 + 32/5*d + 128/5 = 0. Calculate d.
-8
Suppose -9*m + m + 24 = 0. Factor -2/3*n + 2/3*n**m + 0 + 1/3*n**2 - 1/3*n**4.
-n*(n - 2)*(n - 1)*(n + 1)/3
What is l in 0*l - 51*l**3 + 2*l**2 + 52*l**3 - 2*l - 3*l**2 = 0?
-1, 0, 2
Let v(x) be the second derivative of 0*x**2 - 2/105*x**6 + 0*x**3 + 0 + 0*x**4 - 4*x + 1/147*x**7 + 1/70*x**5. Factor v(p).
2*p**3*(p - 1)**2/7
Factor 0 + 0*o - 1/5*o**2.
-o**2/5
Suppose -i = 2*i - 6. Factor 6*o**3 - 2*o**2 - 2*o**i + 4*o**3.
2*o**2*(5*o - 2)
Factor -3/2*c**2 + 9/4*c + 15/4.
-3*(c + 1)*(2*c - 5)/4
Let w(i) = 4*i + 16. Let d be w(-4). Let h(b) be the third derivative of 0*b**4 + 0 - 1/540*b**6 + 0*b**3 - 1/315*b**7 + b**2 + 1/135*b**5 + d*b. Factor h(y).
-2*y**2*(y + 1)*(3*y - 2)/9
Let w(d) = 5*d**3 + 3*d**2 + 3*d - 3. Let u(t) = -14*t**3 - 8*t**2 - 8*t + 8. Let b(j) = 3*u(j) + 8*w(j). Determine z so that b(z) = 0.
0
Let i(f) be the second derivative of -f**4/42 - 5*f**3/21 - 6*f**2/7 + 16*f. Factor i(n).
-2*(n + 2)*(n + 3)/7
Suppose f + 32 = 4*f - 5*k, 0 = -3*f + 2*k + 20. Find a, given that -f*a**2 - 3*a**3 + 2*a**2 + 3*a - 3 + 5 = 0.
-1, -2/3, 1
Let k(v) be the third derivative of 0*v**4 + 0*v - 2*v**2 + 0 - 1/120*v**5 + 1/240*v**6 + 0*v**3. Factor k(l).
l**2*(l - 1)/2
Let p(g) = -10*g**3 + 5*g**2 + 2*g - 3. Let s(r) = 20*r**3 - 10*r**2 - 5*r + 5. Let a(z) = -5*p(z) - 3*s(z). Determine h so that a(h) = 0.
-1/2, 0, 1
Let r(l) = -l - 1. Let o be r(-3). What is d in -5*d**2 + d**2 - o*d**5 - 2 - 11*d**4 - 16*d**2 - 10*d - 20*d**3 + d**4 = 0?
-1
Suppose -v = 3*v. Factor -t**3 + v*t**2 + 0*t**2 - t**2 + t**4 + t.
t*(t - 1)**2*(t + 1)
Let v(h) be the second derivative of -h**5/60 + h**3/6 - h**2 + h. Let u(c) be the first derivative of v(c). Factor u(t).
-(t - 1)*(t + 1)
Let c be (18/(-12))/((-2)/4). Suppose z = -3*i + 9 + c, -9 = -4*z + i. Let 2*s**5 + 10*s**z - 7*s**2 - 4*s**3 + 5*s**2 - 6*s**4 = 0. What is s?
0, 1
Let z(p) be the second derivative of p**4/108 + 2*p**3/9 + 2*p**2 + 6*p. Find r such that z(r) = 0.
-6
Let y = 4 + -8. Let s = -2 - y. Factor -3*g**3 - 4*g**2 + 0*g**2 + g + 2*g**s + 4*g**3.
g*(g - 1)**2
Factor -20/3*y + 4/3*y**4 + 0 + 44/3*y**2 - 28/3*y**3.
4*y*(y - 5)*(y - 1)**2/3
Solve 0 - 1/6*f**5 - 1/3*f**2 - 1/2*f + 2/3*f**3 + 1/3*f**4 = 0.
-1, 0, 1, 3
Let o(w) be the third derivative of -1/4*w**4 + 0*w + 2*w**2 + 3/2*w**3 + 0 + 1/60*w**5. Let o(t) = 0. Calculate t.
3
Let l(u) = 7*u - 3. Suppose 0*s + 3 = k + 4*s, 0 = -5*k + 3*s + 15. Let a be l(k). Determine b so that -a - 2*b**3 - 2*b + 18 + 4*b**2 = 0.
0, 1
Suppose d + 0*d = 23. Suppose d = -2*p - 0*p - 5*z, 0 = -3*z - 15. Factor -2 + 8*h**2 - h - 5*h**2 - p + 1.
(h - 1)*(3*h + 2)
Suppose -b + 10 = 6. Let n(y) be the first derivative of 1/7*y**2 + 2/21*y**3 - 1/14*y**b - 3 - 2/7*y. Factor n(i).
-2*(i - 1)**2*(i + 1)/7
Let f be 62/(-64) - (0 - 1). Let n = f - -59/160. Find q, given that n*q + 2/5 - 2/5*q**3 - 2/5*q**2 = 0.
-1, 1
Factor 0 + 4/7*t**2 + 2/7*t**3 + 2/7*t.
2*t*(t + 1)**2/7
Let o(g) = -g**3 + 6*g**2 + 6*g + 9. Let c = 10 - 3. Let r be o(c). Solve b - 3*b**2 + 6*b**r - 7*b = 0.
0, 2
Let a(s) be the first derivative of 6 - 6*s - 3/4*s**4 + 0*s**3 + 9/2*s**2. Find u, given that a(u) = 0.
-2, 1
Suppose -3*s - 5*h = 16, 8 = 4*s + h + 1. Find x such that -1/2*x**s + 3/2*x + 0*x**2 + 1 = 0.
-1, 2
Let v = -29 + 8. Let j be (3 + v/5)*-4. Factor 0 - 16/5*k**2 + 0*k - 12/5*k**4 + 2/5*k**5 + j*k**3.
2*k**2*(k - 2)**3/5
Let k = -13189/5 + 434732/165. Let m = -19/11 - k. Factor -m - 10/3*i**3 + 4/3*i**2 + 10/3*i.
-2*(i - 1)*(i + 1)*(5*i - 2)/3
Suppose 3*o = 3*q - 33, o + 0*o = -2*q + 7. Let l be (-2)/((-1)/(q/4)). Factor -b**3 - 1 + b + 0*b**2 + l*b**2 - 2*b**2.
-(b - 1)**2*(b + 1)
Let s = 6 - 6. Suppose 3*b - 2*b - 2 = s. Solve -3*p**b + p**4 - 4 + 2 + 3*p**3 - 5*p - 2*p**3 = 0 for p.
-1, 2
Let x = -677/10 - -68. Let m(u) be the first derivative of 1 + 0*u + x*u**5 - 1/8*u**4 + 1/4*u**2 - 1/2*u**3. Let m(z) = 0. What is z?
-1, 0, 1/3, 1
Let i(h) be the second derivative of h**8/336 + h**7/105 - h**6/90 + 2*h**3/3 - 3*h. Let j(y) be the second derivati