be the third derivative of q(s). Factor b(f).
f*(f + 1)*(5*f + 2)/2
What is h in -4*h**3 + 6*h + 3/2*h**2 - 2 - 3/2*h**4 = 0?
-2, 1/3, 1
Let j(x) = x**3 - 3*x**2 + 2*x + 1. Let c be j(2). Let l = c + 4. What is f in 5*f**2 - l*f**2 + 2*f**2 = 0?
0
Let t(j) = -7*j**5 - 5*j**4 + 3*j**3 + 7*j**2 - 2*j - 2. Let r(s) = -29*s**5 - 20*s**4 + 11*s**3 + 29*s**2 - 9*s - 9. Let a(l) = 2*r(l) - 9*t(l). Factor a(u).
5*u**2*(u - 1)*(u + 1)**2
Let f(d) be the third derivative of d**5/60 + 5*d**4/24 - 2*d**3/3 - d**2. Let u be f(-6). Factor -2*z**2 - 2*z**4 - 2*z - u*z + 16*z**3 - 8*z**4.
-2*z*(z - 1)**2*(5*z + 2)
Determine a, given that 0*a + 24/5*a**3 + 0 + 6/5*a**5 - 22/5*a**4 - 8/5*a**2 = 0.
0, 2/3, 1, 2
Let u(m) = -m**2 - 7*m - 1. Let n be u(-6). Let f(w) be the third derivative of 0*w + 0 + 1/210*w**n + 1/42*w**4 + 2*w**2 + 0*w**3. Factor f(o).
2*o*(o + 2)/7
Suppose -6*f = -7*f. Let y be 0 - (-3)/(9 - f). Find o, given that 9*o**4 + y*o**2 + 2/3*o + 0 - 10*o**3 = 0.
-2/9, 0, 1/3, 1
Determine j so that 32*j**5 - 165*j + 60*j**3 + 120*j**4 - 4*j**5 + 117*j - 160*j**2 = 0.
-3, -2, -2/7, 0, 1
Factor 14/5*m**3 + 0 + 0*m - 4/5*m**2.
2*m**2*(7*m - 2)/5
Let m be 1 + (2/(-5) - 28/(-20)). Determine u, given that 0 + 1/3*u**3 - 1/3*u + 0*u**m = 0.
-1, 0, 1
Suppose -5*l + 2*c = -2*l - 3, -3*l = 4*c - 21. Let 27*b**2 - l - 18*b + 15 - 18*b = 0. What is b?
2/3
Let f = 113/2 - 56. Let d(b) be the first derivative of 0*b + 1/3*b**3 + 1/4*b**4 - 4 - f*b**2 - 1/5*b**5. Let d(h) = 0. What is h?
-1, 0, 1
Let j(x) be the first derivative of x**4 - 4*x**3/3 - 6. Factor j(g).
4*g**2*(g - 1)
Suppose -p = -6 + 4. Factor 3/2 + 1/2*t**2 - p*t.
(t - 3)*(t - 1)/2
Let c = -8 - -35. Let w be 80/36 - 6/c. Factor -3*y - 3*y - 2*y**w - 4 + 0*y**2.
-2*(y + 1)*(y + 2)
Let w(b) be the first derivative of b**3/5 + 6*b**2/5 + 9*b/5 + 7. Factor w(g).
3*(g + 1)*(g + 3)/5
Let x(l) be the second derivative of l**4/3 + 20*l**3/3 + 50*l**2 - 7*l. Suppose x(f) = 0. Calculate f.
-5
Let n be (5/(-120)*20)/(10/(-54)). Factor n*f**2 + f + 7/2*f**3 + 0.
f*(f + 1)*(7*f + 2)/2
Let s = 6/53 + 88/159. Suppose 2/3*q**4 + 0*q - s*q**2 + 0*q**3 + 0 = 0. What is q?
-1, 0, 1
Suppose 4*g + 925 = -g. Let r = g - -2037/11. Factor 0 - 2/11*c**2 - r*c**4 + 0*c + 4/11*c**3.
-2*c**2*(c - 1)**2/11
Let d(l) be the first derivative of -2*l**6/5 + 12*l**5/25 - 3*l**4/20 + 6. Factor d(k).
-3*k**3*(2*k - 1)**2/5
Let s(f) be the first derivative of 3/2*f**4 + 2/5*f**5 + f**2 + 0*f + 2*f**3 + 1. Factor s(t).
2*t*(t + 1)**3
Let m(j) = -j**2 + 2*j. Suppose 5*w = 27 - 12. Let d(a) = 3 - 2*a + 0*a - 3. Let b(c) = w*d(c) + 2*m(c). Factor b(r).
-2*r*(r + 1)
Let v(u) be the third derivative of u**8/112 - 3*u**7/70 + u**6/40 + 3*u**5/20 - u**4/4 - 25*u**2. Find n, given that v(n) = 0.
-1, 0, 1, 2
Factor -40*p**2 - 3 - 35*p + 80*p**3 - 3 + 1 + 0.
5*(p - 1)*(4*p + 1)**2
Let i(q) be the first derivative of q**4/2 - 2*q**3/3 - 21. Factor i(h).
2*h**2*(h - 1)
Let c be 1/3*(6 - 0). Factor -6 - 5*f**c + 7 - 1 - 3*f.
-f*(5*f + 3)
Let x = 24 + 12. Let c = 36 - x. Find n, given that 27/5*n**4 + 0*n**3 + 12/5 + c*n - 39/5*n**2 = 0.
-1, -2/3, 2/3, 1
Let j be ((-1)/(-3))/((-38)/(-171)). Determine l, given that j*l**3 + 0*l**2 + 0 + 0*l = 0.
0
Let m be 7/(-7)*3*5. Let k be (-20)/m*2/8. Factor -2/3 + j - k*j**2.
-(j - 2)*(j - 1)/3
Let j = -47 + 50. Let r(d) be the first derivative of -1/15*d**3 - j + 1/10*d**2 + 1/25*d**5 + 0*d - 1/20*d**4. Factor r(q).
q*(q - 1)**2*(q + 1)/5
Let z be 4/3*(1 - -2). Suppose 0 = 5*l + b - 7, -z*b - 10 = 2*l - 2. Let -f + f**3 - 5 + f**4 + 5 - f**l = 0. What is f?
-1, 0, 1
Let p = -4 + 4. Let y(d) be the first derivative of -2/3*d**3 + 4/3*d**6 + d**4 + 14/5*d**5 + p*d + 0*d**2 - 1. Let y(l) = 0. Calculate l.
-1, 0, 1/4
Suppose -p - 4*r = -21, 4*p + 2*r - 16 = 3*r. Suppose 0 = -i - 0*f - 2*f, -f = p*i - 18. Factor 1/4*b**2 + 1/4*b**5 + 0*b + 3/4*b**i + 0 + 3/4*b**3.
b**2*(b + 1)**3/4
Let j(c) be the second derivative of 3*c + 0*c**6 + 0*c**2 + 0 + 0*c**5 + 0*c**3 + 0*c**4 + 1/63*c**7. Factor j(p).
2*p**5/3
Let u = -4 + 7. Determine h so that -5*h**3 - 3 - 4*h**2 + u*h**2 - h**2 + 5*h + 5 = 0.
-1, -2/5, 1
Let h be 1/21 - (3 - (-138)/(-42)). Factor h*k**5 - 4/3*k**2 + 0 + 1/3*k - 4/3*k**4 + 2*k**3.
k*(k - 1)**4/3
Let f(b) be the second derivative of -b**7/21 - 2*b**6/15 + 3*b**5/10 + 2*b**4/3 - 4*b**3/3 - 3*b. Solve f(s) = 0 for s.
-2, 0, 1
Let b(m) be the third derivative of -m**8/168 + m**6/60 - 11*m**2. Let b(g) = 0. Calculate g.
-1, 0, 1
Let w = 15 + -5. Suppose 0 = -2*y + y + 2. Factor 6*n + 0 + y + 32*n**2 + w*n.
2*(4*n + 1)**2
Find d, given that 0*d**2 + 0 + 0*d + 1/3*d**3 + 1/3*d**4 = 0.
-1, 0
Suppose 0 = k + k - 4. What is z in k*z - 11*z**3 - 6*z**2 - 4 + 22*z + z**3 - 4 = 0?
-2, 2/5, 1
Let f(t) = 4*t**2 + 10*t + 25. Let q(y) = -3*y**2 - 9*y - 24. Let s(l) = -6*f(l) - 7*q(l). Factor s(i).
-3*(i - 3)*(i + 2)
Let i(t) be the first derivative of 1/14*t**4 - 1/7*t**2 + 3 + 2/7*t - 2/21*t**3. Factor i(f).
2*(f - 1)**2*(f + 1)/7
Let l(n) be the first derivative of -5/9*n**3 + 2/9*n**4 + 2*n + 1/3*n**2 + 2. Let m(q) be the first derivative of l(q). Solve m(y) = 0.
1/4, 1
Let r(l) = -2*l**4 - 9*l**3 + 5*l**2 - 5*l + 5. Let v(n) = 3*n**4 + 14*n**3 - 8*n**2 + 8*n - 8. Let c(z) = -8*r(z) - 5*v(z). Factor c(o).
o**3*(o + 2)
Let s(c) be the first derivative of c**8/840 - c**7/210 + c**6/180 + 5*c**3/3 + 4. Let h(n) be the third derivative of s(n). Factor h(v).
2*v**2*(v - 1)**2
Factor 2*x**2 - 6*x**2 - 11*x**2 - 5*x**3 + 5*x + 5 + 10.
-5*(x - 1)*(x + 1)*(x + 3)
Suppose 0 + 4/5*b**2 - 2/5*b**5 + 6/5*b**3 + 0*b**4 + 0*b = 0. What is b?
-1, 0, 2
Let k be 1 - (2 + 1) - 242/(-120). Let z(f) be the third derivative of k*f**7 + 0 - 1/48*f**4 - 19/240*f**6 + 3*f**2 - 1/6*f**3 + 0*f + 1/8*f**5. Factor z(h).
(h - 1)**3*(7*h + 2)/2
Let s = -14 - -15. Let y be (2 - 1)/s + 1. Factor -1/2*p**3 + 1/2*p + 0*p**y + 1/4*p**4 - 1/4.
(p - 1)**3*(p + 1)/4
Let c = -17 - -19. Factor -2/7*d**3 + 48/7*d**4 - 32/7*d**5 - 12/7*d**c + 0 - 2/7*d.
-2*d*(d - 1)**2*(4*d + 1)**2/7
Suppose 8*t = 5*t + 9. Factor -4*q**3 + 4*q**3 - 2*q + 2*q**t - 2*q**4 + 2*q**2.
-2*q*(q - 1)**2*(q + 1)
Let f(l) = l**2 - 7*l + 10. Let b(n) = -n + 2. Let k(i) = 15*b(i) - 3*f(i). Solve k(v) = 0 for v.
0, 2
Let t(l) be the second derivative of 1/6*l**4 + 2*l + 0 - 2*l**2 + 1/3*l**3. What is w in t(w) = 0?
-2, 1
Let p = 31 - 27. Let q(j) be the third derivative of 0*j**3 - 1/735*j**7 + 0 - 2*j**2 - 1/420*j**6 + 0*j + 0*j**5 + 0*j**p. Factor q(w).
-2*w**3*(w + 1)/7
Factor -12 - 4*v**2 - 6*v - 2 + 22*v - 2.
-4*(v - 2)**2
Let d = 121/21 + -38/7. Suppose 2/3*n - d*n**2 + 0 - n**3 = 0. Calculate n.
-1, 0, 2/3
Suppose -5*k + 7*h = 4*h - 167, 20 = -5*h. Factor -2*c + 0*c**3 - k*c**2 - 3*c**3 + 4 - 7*c**3 + 15*c**2.
-2*(c + 1)**2*(5*c - 2)
Let h(l) be the third derivative of l**5/150 - l**4/60 - 9*l**2. Find v such that h(v) = 0.
0, 1
Let n be 10/4 + 9/(-18). Suppose n = 2*z - 2. What is c in 0 - 3/2*c**3 + 1/2*c**z + c = 0?
-2/3, 0, 1
Suppose 61 = 7*u + 19. Let f(k) be the second derivative of -4*k + 0*k**4 - 1/42*k**7 + 0*k**2 - 1/30*k**5 + 0*k**3 + 0 - 1/18*k**u. Factor f(i).
-i**3*(i + 1)*(3*i + 2)/3
Let p be ((-4)/(-3) - 2)*-3. Suppose -3*r = p*r. Factor -1/4*m + 1/4*m**3 + r + 0*m**2.
m*(m - 1)*(m + 1)/4
Let r be 168/294*(-3)/(-4). Find z, given that 3/7*z - r*z**2 + 0 = 0.
0, 1
Let i(o) be the third derivative of -o**6/20 + o**5/30 + 18*o**2. Find j, given that i(j) = 0.
0, 1/3
What is q in 2/3*q**2 - 16/21*q + 2/21 = 0?
1/7, 1
Let n = 61 - 59. Factor -4/9*d**3 + 0*d + 0*d**n + 0 + 14/9*d**4.
2*d**3*(7*d - 2)/9
Suppose 4*h = 4*q - 48, 3*q = -3*h - 2*h - 44. Let m = -6 - h. Find c such that -2*c + 9*c**3 - 2*c**2 - 7*c**3 + 2*c**m + 0*c**4 = 0.
-1, 0, 1
Let b(y) be the second derivative of -y**7/105 - y**6/75 + 12*y. Factor b(d).
-2*d**4*(d + 1)/5
Let w(o) be the second derivative of -o**7/420 + o**3/6 - o. Let x(y) be the second derivative of w(y). Factor x(p).
-2*p**3
Let g(u) be the second derivative of -u**5/60 - u**4/36 + u**3/18 + u**2/6 + 8*u. Factor g(a).
-(a - 1)*(a + 1)**2/3
Let y(k) = 8*k - 5. Let s be y(1). Solve -2/7 - 12/7*t**2 - 8/7*t - 8/7*t**s - 2/7*t**4 = 0 for t.
-1
Let t(g) be the second derivative of 5*g**6/48 + g**5/32 - g**4/6 + g**3/12 + 16*g. Determine