. Factor b(y).
2*y**4
Suppose 6 = 37*r - 36*r. Let d be ((-4)/(-16))/(r/8). Factor q - d - q**2 + 1/3*q**3.
(q - 1)**3/3
Let l be 1 + -2 + 21/15. Let m(n) be the first derivative of 1 + l*n + 2/15*n**3 - 2/5*n**2. Let m(s) = 0. Calculate s.
1
Factor -9*r**2 + 45 - 7*r**2 - 23 + 8*r - 23.
-(4*r - 1)**2
Let t be 99/264*(8/(-6))/(-2). Factor t*d**2 + 1/2*d + 1/4.
(d + 1)**2/4
Suppose -c + 17 = 2*c + 5*y, 10 = 3*c - 2*y. Let v(z) be the second derivative of 0*z**3 - 2*z + 1/36*z**c + 0*z**2 + 0. Factor v(b).
b**2/3
Let a = -143/10 + 147/10. Suppose -a*p**3 + 4/5 + 6/5*p + 0*p**2 = 0. Calculate p.
-1, 2
Let q = 24 - 14. Suppose 3*g = 3*i + 24, 4 = 3*g - i - q. Factor 2*u**5 + 8*u**4 + 2*u + 0*u**3 + 8*u**2 + 5*u**3 + 7*u**g.
2*u*(u + 1)**4
Let s(v) be the second derivative of v**8/168 - v**6/60 + 3*v**2/2 - 2*v. Let n(x) be the first derivative of s(x). Factor n(h).
2*h**3*(h - 1)*(h + 1)
Factor 5/6*r - 1/3 + 5/3*r**4 - 1/2*r**5 - 5/3*r**3 + 0*r**2.
-(r - 1)**4*(3*r + 2)/6
Let a be 3 - 0 - 0/4. Determine z so that 5*z + 9/4*z**4 + 1 + 37/4*z**2 + 15/2*z**a = 0.
-1, -2/3
Let v = 30 - 30. Let f(t) be the third derivative of v*t**3 + 2*t**2 - 1/60*t**6 + 0*t + 0*t**4 + 0 + 1/30*t**5. Solve f(o) = 0 for o.
0, 1
Let r(h) be the third derivative of h**5/20 - h**4/8 - 3*h**3 + 63*h**2. Factor r(j).
3*(j - 3)*(j + 2)
Let q(c) be the second derivative of c**5/160 - 5*c**4/96 - c**3/48 + 5*c**2/16 - 38*c. Find j, given that q(j) = 0.
-1, 1, 5
Let c(u) be the first derivative of -5*u**4/4 + 15*u**2/2 + 10*u + 20. Factor c(n).
-5*(n - 2)*(n + 1)**2
Suppose 20/7*n**2 + 20/7*n**3 + 2/7 + 10/7*n + 10/7*n**4 + 2/7*n**5 = 0. Calculate n.
-1
Suppose -2*r + 2 = 4*a + r, 4*a - 5*r - 18 = 0. Let t = 1 - -2. Determine o, given that 2*o**2 + 0*o**2 + 0*o**2 - t*o**a = 0.
0
Let b be (-5)/(-2)*817/(-95). Let a = -21 - b. Solve -a*q**2 - 1/2 - q = 0.
-1
Let a(i) be the third derivative of -5*i**2 + 0*i + 0 + 4/35*i**7 - 1/10*i**5 + 5/112*i**8 + 0*i**3 + 0*i**4 + 1/40*i**6. Factor a(r).
3*r**2*(r + 1)**2*(5*r - 2)
Let d(z) be the second derivative of z**7/5040 - z**4/4 + 5*z. Let q(w) be the third derivative of d(w). Factor q(j).
j**2/2
Let h be 466/12 + (-4)/(-6). Let x = h + -379/10. Factor -2/5*l**2 - x - 8/5*l.
-2*(l + 2)**2/5
Let k = 11/3 - 3. Let 2/3*n**3 + 0 + 0*n**2 - k*n = 0. Calculate n.
-1, 0, 1
Let n be (-2 + 3)/(4/16). Let s be (-4)/(-7)*14/6. Suppose -2/3 + 4/3*w**3 + 2/3*w**5 - s*w**2 - 2*w + 2*w**n = 0. What is w?
-1, 1
Let k(w) be the third derivative of 2*w**7/105 - w**6/30 + 8*w**2. Let k(b) = 0. Calculate b.
0, 1
Let -2/3*u**4 - 4/3 - 14/3*u - 6*u**2 - 10/3*u**3 = 0. What is u?
-2, -1
Let u be ((-22)/(-55) + (-12)/5)/(-8). Solve -1/4*w**3 - u*w**2 + 0 + 1/4*w**4 + 1/4*w = 0.
-1, 0, 1
Let o(v) be the second derivative of -v**7/63 + 4*v**6/45 - v**5/15 - 2*v**4/9 + v**3/3 + 20*v. What is l in o(l) = 0?
-1, 0, 1, 3
Let k be 0/(1/(-2)*2). Suppose 5*y - x - 14 = k, -x = 3*y + x - 11. Solve 0 + 0*a - 1/2*a**y + 1/2*a**2 = 0.
0, 1
Let h = -2/27 - -79/945. Let n(i) be the third derivative of 1/60*i**6 - 1/12*i**4 + 0*i**3 - i**2 + 0 + 0*i + 1/30*i**5 - h*i**7. Factor n(k).
-2*k*(k - 1)**2*(k + 1)
Let a(t) be the second derivative of t**6/135 - t**5/18 + 3*t. Factor a(j).
2*j**3*(j - 5)/9
Let b = 23/95 + -4/95. What is o in -4/5*o**4 - o**5 + 6/5*o**3 - b*o + 4/5*o**2 + 0 = 0?
-1, 0, 1/5, 1
Let h(d) = -d**2 - 6*d + 9. Let t be h(-7). Solve 13*c**4 - 10*c**4 + 4*c**t - 9*c**3 + 5*c**2 - 3*c = 0.
0, 1
Let d(t) be the second derivative of -t**7/294 - t**6/210 + t**5/70 + t**4/42 - t**3/42 - t**2/14 + 4*t. Factor d(z).
-(z - 1)**2*(z + 1)**3/7
Let p be 1 + 0 + -2 - 10. Let j(r) = -r**3 + 9*r**2 - 8*r + 6. Let d(c) = -2*c**3 + 17*c**2 - 15*c + 11. Let i(w) = p*j(w) + 6*d(w). Factor i(s).
-s*(s - 2)*(s - 1)
Let o(k) = 27*k**3 - 71*k**2 + 52*k - 17. Let j(r) = -7*r**3 + 18*r**2 - 13*r + 4. Let m(f) = 9*j(f) + 2*o(f). Factor m(b).
-(b - 1)**2*(9*b - 2)
Let s(b) be the first derivative of 3*b**5/5 - 3*b**4/4 - 2*b**3 + 5. Determine p, given that s(p) = 0.
-1, 0, 2
Suppose 1/3*v**3 + 0 + 1/3*v - 2/3*v**2 = 0. What is v?
0, 1
Let w(l) be the first derivative of 2/3*l**3 + 0*l - 3 + 1/12*l**6 + 1/4*l**2 + 3/4*l**4 + 2/5*l**5. Find b such that w(b) = 0.
-1, 0
Suppose 0 - 6/11*c - 2/11*c**3 + 8/11*c**2 = 0. What is c?
0, 1, 3
Let d be 16/(-10)*15/(-6). Let o be 4*(6/d - 1). Factor 0*h - 2/5 + 0*h**3 + 4/5*h**o - 2/5*h**4.
-2*(h - 1)**2*(h + 1)**2/5
Let b(a) be the first derivative of 3/4*a**4 + 192*a + 72*a**2 + 8 + 12*a**3. Factor b(i).
3*(i + 4)**3
Factor 98/11*t**5 - 42/11*t**4 - 8/11*t**2 - 48/11*t**3 + 0*t + 0.
2*t**2*(t - 1)*(7*t + 2)**2/11
Let p(j) be the third derivative of -1/132*j**4 + 1/1155*j**7 + 0*j + 4*j**2 - 1/220*j**6 + 0*j**3 + 0 + 1/110*j**5. Factor p(o).
2*o*(o - 1)**3/11
Suppose 0 = -4*j - 0*j + 8. Determine k so that 1 + 2*k**3 - j + 1 + 6*k**2 + 4*k = 0.
-2, -1, 0
Factor -2*d - d**4 - 11*d**2 + 31*d**2 - 17*d**2.
-d*(d - 1)**2*(d + 2)
Suppose 2/9*x**5 - 10/9*x**4 - 8/9*x**2 + 0 + 0*x + 16/9*x**3 = 0. Calculate x.
0, 1, 2
Let m(p) be the first derivative of -p**3/3 + p**2/2 - p + 3. Let q(x) = 2*x**3 - 2*x**2 - 4*x + 6. Let u(z) = 2*m(z) + q(z). Factor u(l).
2*(l - 2)*(l - 1)*(l + 1)
Let v(d) be the second derivative of -d**5/4 + 7*d**4/12 - d**3/3 + 10*d. Factor v(h).
-h*(h - 1)*(5*h - 2)
Let a(w) = -3*w - 61. Let p be a(-21). Solve 2/3*u + 0 + 1/3*u**3 - u**p = 0.
0, 1, 2
Let g(k) be the second derivative of 0*k**2 + 1/35*k**5 - 3*k + 0 + 1/105*k**6 + 0*k**3 + 0*k**4. Factor g(w).
2*w**3*(w + 2)/7
Let k = 227/150 + -1/75. Let b(q) be the first derivative of k*q**2 - q**3 + 3*q - 3/4*q**4 + 3. Determine m, given that b(m) = 0.
-1, 1
Let k = 10 - 8. Suppose 4*u - 5*x - 3 = 0, -4*u - 5*x = -3*u - 7. Solve 0 - d**u + 2 - d**k = 0 for d.
-1, 1
Let h be (-1 + 2)*-3 - (-87)/15. Let z(f) be the first derivative of 2/3*f**3 - 4/3*f**6 - f**4 + 2 + 0*f - h*f**5 + 0*f**2. Factor z(x).
-2*x**2*(x + 1)**2*(4*x - 1)
Suppose 24 - 5 = a. Solve 82*q**2 - 54*q**5 - 108*q**4 + 72*q + 29*q**2 + 16 - 18*q**3 - a*q**2 = 0 for q.
-1, -2/3, 1
Let k(x) be the third derivative of -x**5/45 - x**4/9 + 25*x**2. Factor k(m).
-4*m*(m + 2)/3
Let f(q) be the third derivative of q**5/105 + q**4/21 - 2*q**3/7 + 3*q**2. Solve f(t) = 0.
-3, 1
Suppose -b = b - 6. Let r(o) be the first derivative of 0*o**b + 1/8*o**2 + 1/24*o**6 + 0*o + 0*o**5 - 1 - 1/8*o**4. What is f in r(f) = 0?
-1, 0, 1
Let c(r) be the first derivative of -4*r**3/3 + 2*r**2 + 11. Find v such that c(v) = 0.
0, 1
Find i such that 2/7*i**3 + 4/7*i**2 - 4/7*i**4 - 2/7*i**5 + 0 + 0*i = 0.
-2, -1, 0, 1
Let w(x) = 4*x**2 + 5*x - 5. Let f(n) = 4*n**2 + 6*n - 6. Let s(o) = 5*f(o) - 6*w(o). Factor s(c).
-4*c**2
Let b(x) be the second derivative of x**7/210 + x**6/90 - x**5/15 - x**3/2 + 2*x. Let n(u) be the second derivative of b(u). What is z in n(z) = 0?
-2, 0, 1
Let y(g) = 7*g**2 + 22*g + 31. Let s(r) = 13 + r + 0 + 7 - 7. Let u be s(-10). Let j(d) = -6*d**2 - 21*d - 30. Let l(h) = u*y(h) + 4*j(h). Factor l(q).
-3*(q + 3)**2
Let w(m) = -26*m**3 + 14*m**2 - 20*m. Let o(q) = -5*q**3 + 3*q**2 - 4*q. Let t be -3 + (22 + -3)*1. Let f(r) = t*o(r) - 3*w(r). Determine h so that f(h) = 0.
0, 1, 2
Solve 9/7*b + b**2 + 2/7 = 0 for b.
-1, -2/7
Let g(v) be the third derivative of -v**5/30 - v**4/6 - v**3/3 - 3*v**2. Let g(f) = 0. Calculate f.
-1
Let t(p) = -6*p**5 + 8*p**4 - 4*p**3 - 8*p**2 + 2*p. Let b(f) = -f**5 + f**4 - f**2. Let j(q) = 8*b(q) - t(q). Factor j(k).
-2*k*(k - 1)**2*(k + 1)**2
Factor -1/11*x**2 + 0 + 0*x.
-x**2/11
Let a = 1084415 + -37964978/35. Let i = 1539/5 + a. Determine p, given that -i*p - 14*p**3 + 22*p**2 + 8/7 = 0.
2/7, 1
Factor -21/2 + 21/2*u**2 + 3/2*u**3 - 3/2*u.
3*(u - 1)*(u + 1)*(u + 7)/2
Let c(l) be the third derivative of -l**7/105 + 7*l**6/60 - l**5/6 - 7*l**4/12 + 2*l**3 + 60*l**2. Factor c(g).
-2*(g - 6)*(g - 1)**2*(g + 1)
Let d(x) = 5*x - 86. Let v be d(18). Factor 2/3 - v*q + 10/3*q**2.
2*(q - 1)*(5*q - 1)/3
Let f(t) be the first derivative of 4*t**5/15 - 2*t**4/3 - 20*t**3/9 + 4*t**2 + 21. Factor f(o).
4*o*(o - 3)*(o - 1)*(o + 2)/3
Let b(w) be the second derivative of 3*w**5/20 + w**4 + 5*w**3/2 + 3*w**2 - 6*w. Suppose b(v) = 0. What is v?
-2, -1
Let g(l) be the first derivative of 4*l**5/5 - 3*l**