 = b*o - 5*a. Factor -2*l**4 + o*l**3 + 3*l**4 + 1 - l**5 + 0*l**4 - l - 2*l**2.
-(l - 1)**3*(l + 1)**2
Let r = 108 + -323/3. Suppose c - 10 = 3*c, c + 2 = -s. Let 0 + 0*i + 1/3*i**2 - r*i**s = 0. What is i?
0, 1
Let i(w) be the third derivative of -w**5/240 + 7*w**4/48 - 49*w**3/24 - 26*w**2. Factor i(r).
-(r - 7)**2/4
Let z(g) be the second derivative of g**6/30 + g**5/20 - g**4/3 - 2*g**3/3 - 12*g. Factor z(d).
d*(d - 2)*(d + 1)*(d + 2)
Let m(v) = 6*v**2 + 3*v + 4. Let f(s) = s**2 + s + 1. Let q(z) = -4*f(z) + m(z). Determine p, given that q(p) = 0.
0, 1/2
Let z = -2 - -2. Suppose -x - 12 = -5*i, -3*i + 2*i - 4*x + 15 = 0. Find c such that 0*c**4 + 0*c + z - 1/5*c**i + 0*c**2 + 1/5*c**5 = 0.
-1, 0, 1
Let d be 1 + -1 + (-3 - -6). Let n be -1 + 1 - (-4 - 0). Find i such that -i**3 + n*i + 4*i**4 + 0*i**4 - 2*i**5 + 7*i**d - 6*i**4 + 10*i**2 = 0.
-1, 0, 2
Let t be (-76)/(-16) + (-1)/(-4) + -1. Let q(w) be the first derivative of 1/36*w**6 + 0*w - 1/15*w**5 + 0*w**2 + 0*w**3 + 1/24*w**t - 1. Factor q(k).
k**3*(k - 1)**2/6
Let c = 7/38 - -6/19. Suppose -c - p**2 - 5/4*p - 1/4*p**3 = 0. Calculate p.
-2, -1
Let t(z) be the second derivative of z**7/84 - z**5/40 - 15*z. Factor t(v).
v**3*(v - 1)*(v + 1)/2
Let u = 6 - 2. Suppose 3*n + 30 = 39. Factor -8/3*j - 8/3*j**n + 2/3*j**u + 2/3 + 4*j**2.
2*(j - 1)**4/3
Suppose -3*t - 7 = -5*y - 0, 5*t = 2*y + 1. Suppose 0 = 2*h - 5*j - 0*j + 5, j = 5*h + t. Factor h*s**2 - 1/2*s**5 + 0*s + 0*s**4 + 0 + 1/2*s**3.
-s**3*(s - 1)*(s + 1)/2
Let x be ((-560)/(-12))/7 + -3 + -3. Factor 2/3*u**2 - 4/3 + x*u.
2*(u - 1)*(u + 2)/3
Let c(g) be the second derivative of g**7/252 - g**6/90 + g**4/36 - g**3/36 - 3*g. Find w, given that c(w) = 0.
-1, 0, 1
Suppose 0 = -3*z - 9 + 30. Suppose z*w = 3*w + 12. Solve 2*t**2 + 6*t**4 - 6*t**2 - t**3 + 3*t**w = 0 for t.
-1, 0, 2/3
Determine p so that 30*p - 36/5 + 14/5*p**3 - 88/5*p**2 = 0.
2/7, 3
Suppose 1/4*v**2 - 1/4 + 1/4*v**3 - 1/4*v = 0. Calculate v.
-1, 1
Suppose -8 = -10*t + 32. Factor 4/5 + 9/5*z**2 - t*z.
(z - 2)*(9*z - 2)/5
Suppose 9 = 3*q + 3. Solve 2 + 4*o**3 - 1 - 4 - q*o**4 - 4*o + 5 = 0 for o.
-1, 1
Let f = -2/969 - -4853/3876. Determine o, given that -1/2*o + f*o**4 + 1/2*o**3 - 5/4*o**2 + 0 = 0.
-1, -2/5, 0, 1
Let n(k) be the second derivative of -k**6/70 - 9*k**5/140 + k**4/14 + 6*k**3/7 + 12*k**2/7 - 8*k. Suppose n(s) = 0. Calculate s.
-2, -1, 2
Let u be (-2)/3*(-9)/6. Let w be (0 - u)*(1 - 1). Solve 2/5 + w*s - 2/5*s**2 = 0 for s.
-1, 1
Suppose -3 + 15 = 2*b. Let i(r) be the third derivative of -1/240*r**b + 0*r**3 - 1/30*r**5 + 0*r - r**2 + 0 - 1/12*r**4. Find n, given that i(n) = 0.
-2, 0
Let y(u) be the second derivative of u + 0 - 3*u**3 - 2/5*u**6 - 8/3*u**4 - 2*u**2 - 1/21*u**7 - 7/5*u**5. Factor y(m).
-2*(m + 1)**4*(m + 2)
Let r(y) be the third derivative of -y**8/504 + y**7/315 + 35*y**2. Factor r(n).
-2*n**4*(n - 1)/3
Let p be 0*((-1)/(-1))/(-2). Suppose p = -f + 2. Factor o**2 + 1 + o**4 + o**5 + 3*o - f*o**3 - 3*o**2 - 2*o.
(o - 1)**2*(o + 1)**3
Let r = -4 - -2. Let t(y) = y**3 + y**2 + y - 1. Let s(b) = -2*b**3 - b**2 + 1. Let p(a) = r*s(a) - 2*t(a). Factor p(w).
2*w*(w - 1)*(w + 1)
Let p = 15/32 - -129/32. Suppose 27/2 + p*x**2 + 27/2*x + 1/2*x**3 = 0. What is x?
-3
Let r(p) be the second derivative of p**6/1080 - p**5/360 - 4*p**3/3 + 2*p. Let d(b) be the second derivative of r(b). Factor d(k).
k*(k - 1)/3
Let m(n) = 3*n**2 + 3*n + 3. Let g = 23 - 31. Let i(b) = -b**3 + 9*b**2 + 8*b + 8. Let f(s) = g*m(s) + 3*i(s). Let f(r) = 0. What is r?
0, 1
What is o in 1/2*o - 2/3*o**3 + 1/6*o**5 + 1/3 + 0*o**4 - 1/3*o**2 = 0?
-1, 1, 2
Let q(v) = -v**2 - 21*v + 3. Let z be q(-21). Let r(c) be the first derivative of 0*c**4 + 2/25*c**5 + 0*c - 2/15*c**z + 0*c**2 - 1. Factor r(w).
2*w**2*(w - 1)*(w + 1)/5
Suppose 5 = -5*t - 20, -2*l - 3*t = 7. Find y, given that -y**4 + y**2 + 0*y**2 - 3*y**3 - y**5 + l*y**4 + 0*y**3 = 0.
0, 1
Let w(r) be the third derivative of r**8/20160 + r**7/1680 + r**6/360 - r**5/60 + 3*r**2. Let i(s) be the third derivative of w(s). Factor i(p).
(p + 1)*(p + 2)
Suppose 0 = -5*d - 1 + 6. Let c be d/(2/(-4)) - -5. Let 4/3*r + 1/3*r**4 + 1/3 - 2/3*r**2 + 4/3*r**5 - 8/3*r**c = 0. What is r?
-1, -1/4, 1
Let p = 173/10 + -84/5. Determine c, given that 0 - p*c - 1/2*c**3 + c**2 = 0.
0, 1
Let h(x) be the third derivative of x**7/105 - x**6/20 + x**5/10 - x**4/12 - 4*x**2. Determine i so that h(i) = 0.
0, 1
Let i(d) be the third derivative of 2*d**7/315 + d**6/40 + d**5/30 + d**4/72 - 12*d**2. Let i(u) = 0. Calculate u.
-1, -1/4, 0
Suppose 25*c - 27*c = -4. Solve 1/5*f**3 + 2/5*f + 0 + 3/5*f**c = 0 for f.
-2, -1, 0
Let o(t) be the third derivative of t**10/18900 + t**9/5040 + t**8/5040 - 7*t**5/60 + 3*t**2. Let w(i) be the third derivative of o(i). Factor w(k).
4*k**2*(k + 1)*(2*k + 1)
Let w(r) be the second derivative of -1/6*r**2 + 5/36*r**4 - r + 1/20*r**5 + 1/18*r**3 + 0. Factor w(a).
(a + 1)**2*(3*a - 1)/3
Suppose 3*h - 2*h = 0. Let y(p) be the second derivative of p**2 + 5/6*p**3 + 1/4*p**4 - 2*p + h. Factor y(i).
(i + 1)*(3*i + 2)
Let w(k) be the first derivative of -k**5/5 + 3*k**4/4 - k**3 + k**2/2 + 4. Factor w(g).
-g*(g - 1)**3
What is z in z**2 + 5 + z + 2*z - 7 + 4 = 0?
-2, -1
Let n(x) be the first derivative of x**3/12 + x**2/2 + 3*x/4 - 10. Determine l, given that n(l) = 0.
-3, -1
Let c(l) be the first derivative of 5 - 1/14*l**4 + 8/7*l + 0*l**2 - 2/7*l**3. Find d such that c(d) = 0.
-2, 1
Suppose c = r, -3*r = -r - 3*c + 2. Factor -4*h**r + 4*h**3 - 2*h**5 + 8 - 6 - 3*h + 2*h**4 + h.
-2*(h - 1)**3*(h + 1)**2
Let u(d) be the third derivative of 2*d**2 + 1/24*d**4 + 0 + 1/60*d**5 + 1/480*d**6 + 0*d + 0*d**3. Factor u(j).
j*(j + 2)**2/4
Let g(y) be the second derivative of y**8/7560 - y**6/1620 + y**3/6 + 3*y. Let u(w) be the second derivative of g(w). Solve u(i) = 0.
-1, 0, 1
Suppose 5*m = 4*m + 5. Let q(f) = -f**3 + 6*f**2 - 4*f - 2. Let t be q(m). Factor j**2 - 1 + t*j - 3*j - j + j**3.
(j - 1)*(j + 1)**2
Let p = -19/13 + 147/65. Factor -4/5*z - 4/5*z**2 + 4/5*z**3 + p.
4*(z - 1)**2*(z + 1)/5
Let w be 10 - (-5 + 3 - -3). Suppose -3*a - 3 + w = 0. Find o such that -2/3*o - 2*o**3 + 2/3*o**4 + 0 + a*o**2 = 0.
0, 1
Let o be 14/4*40/(-70). Let j = o - -2. Let 6/5*s**4 + 6/5*s**3 + 0 + 2/5*s**5 + j*s + 2/5*s**2 = 0. Calculate s.
-1, 0
Suppose -5*r + 3 = -47. Let b = 31/3 - r. Factor -b - g - 1/3*g**3 - g**2.
-(g + 1)**3/3
Let i = -96 + 197/2. Let v(p) be the first derivative of i*p**2 - 3 - p - 25/12*p**3. Factor v(h).
-(5*h - 2)**2/4
Let h(n) be the second derivative of n**4/4 - 3*n**3/2 + 3*n**2 - 5*n. Determine f so that h(f) = 0.
1, 2
Let w(p) be the first derivative of -p**6/1260 - p**5/105 - p**4/21 + 2*p**3/3 + 3. Let b(f) be the third derivative of w(f). Let b(u) = 0. Calculate u.
-2
Let q(i) = -3*i**4 + 7*i**3 + 10*i**2. Let h(y) = -35*y**4 + 85*y**3 + 120*y**2. Let d(t) = 2*h(t) - 25*q(t). Determine w so that d(w) = 0.
-1, 0, 2
Let w(x) be the first derivative of 9*x**6/8 - 9*x**5/10 - 87*x**4/16 - x**3/2 + 15*x**2/2 + 6*x + 18. Find g such that w(g) = 0.
-1, -2/3, 1, 2
Let u(k) be the third derivative of k**7/42 - 3*k**6/8 + 11*k**5/6 - 80*k**3/3 + 5*k**2 - 2. Factor u(v).
5*(v - 4)**2*(v - 2)*(v + 1)
Let d be (-1)/2*(-1 - 5). What is q in q**4 + q**5 - 2*q - 40*q**3 + 43*q**d - 2*q**5 - q**2 = 0?
-1, 0, 1, 2
Let a(v) be the first derivative of 125*v**6/33 + 80*v**5/11 - 60*v**4/11 - 64*v**3/33 + 16*v**2/11 - 29. Let a(j) = 0. What is j?
-2, -2/5, 0, 2/5
What is w in -153/5*w**2 - 3/5*w**3 - 2601/5*w - 14739/5 = 0?
-17
Let x(h) be the first derivative of -2*h**4/5 - 8*h**3/15 + h**2/5 + 2*h/5 - 22. What is z in x(z) = 0?
-1, -1/2, 1/2
Let c = 6289/24 + -262. Let m(b) be the first derivative of 3/20*b**5 - 3/16*b**4 - c*b**6 + 0*b + 1/12*b**3 - 1 + 0*b**2. Factor m(s).
-s**2*(s - 1)**3/4
Let f be (-34)/(-10) + (-18)/45. Factor -3*q**2 + 0*q**2 + 3*q + 2 + q**2 - f.
-(q - 1)*(2*q - 1)
Suppose -2*c = -g + 2, 5*c + 2*g + 10 = 7*g. Factor c*n**2 - 3/2*n**4 + 6*n + 0 - 9/2*n**3.
-3*n*(n - 1)*(n + 2)**2/2
Let r be (5 - 3)*-2 + 4. Solve r*x - 1/2*x**2 + 1/2*x**5 - 3/2*x**4 + 0 + 3/2*x**3 = 0.
0, 1
Let c(p) be the second derivative of -1/6*p**4 - 2*p + 0*p**2 + 0 - 2/3*p**3. Suppose c(x) = 0. Calculate x.
-2, 0
Let a = 2900/3367 