 q(j). Factor u(i).
-(i - 1)*(i + 1)**3
Suppose 2*f = 26 - 18. Let t(r) be the third derivative of 0 + 2*r**2 + 1/150*r**5 + 1/15*r**3 + 0*r + 1/30*r**f. Determine x, given that t(x) = 0.
-1
Suppose 31*b**3 - 18*b**3 - b**5 - b + 4*b**2 + 4*b**4 - 19*b**3 = 0. Calculate b.
0, 1
Suppose 133*z - 20 = 128*z. Find x such that -147/4*x**3 - 9*x**5 + 3/2 + 3/4*x - 123/4*x**z - 63/4*x**2 = 0.
-1, -2/3, 1/4
Let d = 43/270 + 1/135. Let -2/3*a**3 - 2/3*a + 1/6 + a**2 + d*a**4 = 0. Calculate a.
1
Let n(g) = -g**3 - 2*g**2 + 5*g. Let j be n(-4). Suppose -8*b + 2*b + j = 0. Find c, given that 2/7*c**3 - 30/7*c**4 + 24/7*c**b + 0 - 8/7*c = 0.
-1, 0, 2/5, 2/3
Let m(g) = 5*g**2 - 5*g. Let v(z) = -1. Let d(y) = -m(y) - 30*v(y). Determine b, given that d(b) = 0.
-2, 3
Factor -191*v - 40 + 2803*v**5 - 260*v**2 - 2808*v**5 + 26*v - 190*v**3 - 60*v**4.
-5*(v + 1)**4*(v + 8)
Let v(g) be the first derivative of g**5/30 + g**4/6 - g**3/9 - g**2 + 3*g/2 - 9. Solve v(h) = 0 for h.
-3, 1
Suppose -9 = 2*t - 3*b, -2*b = 2*t - b - 11. Factor -4 + 14*p**4 - 22*p - 22*p**2 + 2*p**4 + 0*p**t - 14*p**2 - 8*p**3.
2*(p - 2)*(2*p + 1)**3
Let j(r) be the first derivative of -r**4/22 + 4*r**3/33 - r**2/11 - 9. Suppose j(d) = 0. Calculate d.
0, 1
Factor -4/3 + 5/3*u - 1/3*u**2.
-(u - 4)*(u - 1)/3
What is d in 1/5*d**3 + d**2 + 0 - 1/5*d**4 + 3/5*d = 0?
-1, 0, 3
Let m(c) be the second derivative of -c**7/168 - c**6/30 - 3*c**5/40 - c**4/12 - c**3/24 - 6*c. Factor m(l).
-l*(l + 1)**4/4
Let f(l) be the first derivative of -2*l**3/9 + 2*l**2/3 + 2*l - 4. Suppose f(b) = 0. What is b?
-1, 3
Let r = 11 + -8. Let q be r/(-15) + 11/1. Find l such that -6*l + 108/5*l**4 - 4/5 + 36/5*l**3 - 56/5*l**2 - q*l**5 = 0.
-1/3, 1, 2
Factor 4/7*t**4 - 12/7 + 8/7*t**2 + 16/7*t - 16/7*t**3.
4*(t - 3)*(t - 1)**2*(t + 1)/7
What is x in 1/4*x**5 + 128*x + 17/4*x**4 + 28*x**3 + 64 + 88*x**2 = 0?
-4, -1
Let n be 2/((-20)/6) - -1. Let r(a) be the first derivative of 2/3*a**3 - 1/3*a**4 + 2/3*a**2 + 0*a - 2 - n*a**5. Let r(z) = 0. What is z?
-1, -2/3, 0, 1
Let y(s) = 21*s**2 - 9*s - 30. Let g(u) = 4*u**2 - 2*u - 6. Let o(l) = 11*g(l) - 2*y(l). Factor o(w).
2*(w - 3)*(w + 1)
Let t(d) be the second derivative of 25*d**7/189 - 19*d**6/27 + 32*d**5/45 - 2*d**4/9 - 12*d. Determine o, given that t(o) = 0.
0, 2/5, 3
Let w = -6 + 9. Suppose 5*d = 3*v - w, -7 + 2 = 3*d - 5*v. What is i in 1/2*i**2 + 5/2*i**3 + 3/2*i**5 + 0 + 7/2*i**4 + d*i = 0?
-1, -1/3, 0
Let k(q) be the second derivative of q**5/270 + q**4/54 + q**3/27 + 3*q**2/2 - 2*q. Let r(l) be the first derivative of k(l). Factor r(o).
2*(o + 1)**2/9
Suppose 0 = -0*n + 3*n - 6. Suppose 0*p - 9 = -p + n*y, -5*p - y = -12. Factor -m**4 + 3*m**4 + m**3 + 0*m**p.
m**3*(2*m + 1)
Let v(m) be the third derivative of -m**6/200 + 3*m**5/50 - 9*m**4/40 - 13*m**2 - m. Suppose v(g) = 0. What is g?
0, 3
Let h(d) be the first derivative of d**3 - 3*d**2 - 9*d + 8. Find g, given that h(g) = 0.
-1, 3
Let n(z) be the third derivative of 2*z**7/105 + z**6/30 - z**5/5 - 5*z**4/6 - 4*z**3/3 + 2*z**2. Factor n(l).
4*(l - 2)*(l + 1)**3
Let g(u) be the second derivative of 0 - 2*u - 1/2*u**2 - 1/180*u**5 + 1/18*u**3 + 0*u**4. Let x(q) be the first derivative of g(q). Factor x(h).
-(h - 1)*(h + 1)/3
Suppose 0 = 9*q - 11 - 7. Factor -1/4*u + 0 + 1/4*u**q.
u*(u - 1)/4
Let 1/2*s - s**2 + 1/2*s**3 + 0 = 0. What is s?
0, 1
Let a(g) be the third derivative of 0*g + 1/600*g**6 - 1/100*g**5 + 1/40*g**4 + 0 - 3*g**2 - 1/30*g**3. Find m, given that a(m) = 0.
1
Let k = 61 - 59. Let s(z) be the first derivative of 1/18*z**4 + 0*z**k + 0*z**3 - 4 - 2/45*z**5 + 0*z. Determine i, given that s(i) = 0.
0, 1
Let u be (-6)/9 - 3/(18/(-20)). Let y be (-8)/10*15/(-6). Factor -u*j + 8/3 + 2/3*j**y.
2*(j - 2)**2/3
Let u = -38/11 - -125/33. Determine d, given that 4/3*d**2 - u*d + 0 + 4/3*d**4 - 1/3*d**5 - 2*d**3 = 0.
0, 1
Let p(v) = 19*v**3 - 2*v + 1. Let n be p(1). Suppose 4*s - 2*h - n = -s, -3*h = -3. Factor -2/7*a**5 - 2/7*a**s + 4/7*a**3 - 2/7 - 2/7*a + 4/7*a**2.
-2*(a - 1)**2*(a + 1)**3/7
Let b(f) be the second derivative of 0*f**6 + 0*f**3 - 2*f - 1/20*f**5 + 0 + 1/42*f**7 + 0*f**2 + 0*f**4. Factor b(h).
h**3*(h - 1)*(h + 1)
Let v = 12 + -9. Let 4*b**3 + v*b**2 - 5*b**3 + 2*b**3 - b**2 + b = 0. What is b?
-1, 0
Let c = -407 - -409. Factor 1/6 - 1/3*d**c + 1/6*d + 1/6*d**5 - 1/3*d**3 + 1/6*d**4.
(d - 1)**2*(d + 1)**3/6
Let k(r) be the first derivative of r**3/4 - 3*r**2 - 49. Factor k(g).
3*g*(g - 8)/4
Let o(b) be the third derivative of -b**9/52920 - b**8/14112 - b**7/17640 - b**5/30 - b**2. Let s(r) be the third derivative of o(r). Factor s(y).
-2*y*(y + 1)*(4*y + 1)/7
Suppose 3*i - 3*p - 3 = 6, p + 31 = 5*i. Suppose -i - 1 = -4*r. Factor g - 3*g + g + g**2 + r*g.
g*(g + 1)
Suppose 2*k + 4 = -0*k. Let h = 1 - k. Suppose -m - h*m + 3 + 6*m + 4*m + 3*m**2 = 0. Calculate m.
-1
Factor 0 - 1/2*j**2 - 1/2*j**3 + 0*j.
-j**2*(j + 1)/2
Let v be 0 - -2 - 3*6/(-18). Let 1/5 - 1/5*i**2 + 1/5*i - 1/5*i**v = 0. Calculate i.
-1, 1
Let h(y) be the third derivative of y**7/1470 + y**6/280 + y**5/140 + y**4/168 + 3*y**2. Solve h(c) = 0.
-1, 0
Let q(v) be the second derivative of -v**6/105 - v**5/20 - v**4/28 + 4*v**3/21 + 2*v**2/7 + 2*v. Determine u, given that q(u) = 0.
-2, -1/2, 1
Let v(b) = -10*b**5 + 5*b**4 + 5*b**3 - 5*b**2 + 5. Let n(y) = 15*y**5 - 8*y**4 - 8*y**3 + 8*y**2 - 7. Let d(w) = 5*n(w) + 7*v(w). Suppose d(j) = 0. What is j?
-1, 0, 1
Let 16/5*f + 32/5 + 2/5*f**2 = 0. Calculate f.
-4
Let v = -1055/7 - -151. Let t = -913/14 + 131/2. Let -4/7*f**2 + t*f**3 + 0 + v*f = 0. Calculate f.
0, 1
Let c(h) be the first derivative of 3/7*h**2 + 4/7*h + 3 + 0*h**3 - 1/14*h**4. Factor c(i).
-2*(i - 2)*(i + 1)**2/7
Let a(d) = 31*d**4 + 154*d**3 + 9*d**2 - 146*d - 40. Let n(b) = 32*b**4 + 153*b**3 + 8*b**2 - 147*b - 40. Let l(f) = -3*a(f) + 4*n(f). Solve l(z) = 0.
-4, -1, -2/7, 1
Let l = 15 - 11. Let t(p) = p. Let q be t(l). Find g, given that 4*g**5 - 2*g**3 + 2*g**5 - 2*g**2 - 2*g**2 + 8*g**q = 0.
-1, 0, 2/3
Let n(z) = -6*z**3 - 36*z**2. Suppose 3*f = f - 8. Let w(d) = -d**3 - 7*d**2. Let x(g) = f*n(g) + 21*w(g). Factor x(j).
3*j**2*(j - 1)
Let a(r) be the third derivative of 0 - 1/10*r**5 + 2/3*r**3 + 0*r + 1/105*r**7 + 5*r**2 + 1/60*r**6 - 1/12*r**4. Factor a(b).
2*(b - 1)**2*(b + 1)*(b + 2)
Let b(v) be the third derivative of -v**7/1260 + v**5/180 - v**3/36 - 13*v**2. Solve b(u) = 0 for u.
-1, 1
Factor 1/6*j**3 + 0 + 0*j**2 - 1/6*j.
j*(j - 1)*(j + 1)/6
Let y be 3 + (-6)/(-3) + -1. Factor -1 - 9*x**5 - x**2 + 10*x**5 - 3*x**y + 1 + 3*x**3.
x**2*(x - 1)**3
Let i(v) be the first derivative of -v**3/3 + 2*v**2 - 4*v + 4. Factor i(c).
-(c - 2)**2
Suppose k + 10 = 5*s - 0, 4*s - 2 = 2*k. Solve 3*d + d**2 + 3*d + s + 2*d**2 + 0*d**2 = 0 for d.
-1
Suppose 4*w + 20 = 8. Let u = w - -7. What is x in x**u - 4/3*x**2 - 2/3*x + 1/3 + 2/3*x**3 = 0?
-1, 1/3, 1
Let g(y) = -15*y**3 - 9*y**2 - 3*y. Let q(t) = -15*t**3 - 10*t**2 - 4*t. Let i(n) = 4*g(n) - 3*q(n). Solve i(j) = 0 for j.
-2/5, 0
Let y(i) be the first derivative of 14*i**5/5 + 9*i**4/2 - 8*i**3 - 4*i**2 - 19. Find f, given that y(f) = 0.
-2, -2/7, 0, 1
Let z(r) be the second derivative of 0*r**2 - 4*r - 1/20*r**5 + 0 - 1/6*r**3 + 1/6*r**4. Let z(a) = 0. Calculate a.
0, 1
Let k = -3748852/3913 - -12462/13. Let s = k - 12/43. Factor 0*r + 2/7*r**3 + s*r**2 + 0.
2*r**2*(r + 1)/7
What is k in 0*k - 2/7*k**2 + 0 + 2/7*k**3 - 2/7*k**5 + 2/7*k**4 = 0?
-1, 0, 1
Suppose 0*j - 4*j = -24. Suppose 0*z - j = -z. Determine a, given that z*a**2 + 0*a**2 + 3*a + 0*a**2 + 3*a**3 = 0.
-1, 0
Let c(z) = -z**2 + 2*z - 3. Let g(s) = -4*s**2 + 6*s - 10. Let m(f) = -20*c(f) + 6*g(f). Factor m(v).
-4*v*(v + 1)
Suppose 4*p = -i - 32, 0*p - 3*p + i = 17. Let u(r) = 9*r**2 - 4*r + 9. Let c(n) = 4*n**2 - 2*n + 4. Let g(l) = p*c(l) + 3*u(l). What is q in g(q) = 0?
1
Suppose 3*h - 5 = 4*l + 2, -10 = -2*h. Factor l*m + 329 + 2*m**2 - 329.
2*m*(m + 1)
What is g in 121/2*g**3 + 2 + 24*g + 165/2*g**2 = 0?
-1, -2/11
Let z(p) = -48*p**3 + 21*p**2 - 6*p + 6. Let x(w) = -7*w**3 + 3*w**2 - w + 1. Let d = -39 + 12. Let h(l) = d*x(l) + 4*z(l). Factor h(o).
-3*(o - 1)**2*(o + 1)
Factor -7/5 - 3*z - 9/5*z**2 - 1/5*z**3.
-(z + 1)**2*(z + 7)/5
Let d(q) = q**2 - 6*q + 2. Suppose -5*r + 12 = -3*r. Let o be d(r). F