4 + 0*s + 0.
-s**2*(s + 1)**3/2
Let b = 335 - 1339/4. Solve 1/4*x**2 + 0 + b*x**3 + 0*x = 0.
-1, 0
Let c(y) be the first derivative of -5*y**3/3 - 15*y**2 + 80*y - 38. Factor c(l).
-5*(l - 2)*(l + 8)
Let c(l) = -l**2 + 1. Let a(p) = 9*p**2 - 3*p - 6. Let z(n) = -a(n) - 5*c(n). Factor z(w).
-(w - 1)*(4*w + 1)
Let n(x) = 4*x - 9. Let a be n(3). Let -a*b**2 - 15*b**3 + 13*b**3 - 3*b**5 + 5*b**3 + 3*b**4 = 0. What is b?
-1, 0, 1
Let g(q) be the third derivative of -1/10*q**6 + 0*q**3 - 2/105*q**7 + 0*q**5 + 0 + 0*q + 3*q**2 + 2/3*q**4. Find x, given that g(x) = 0.
-2, 0, 1
Let z = -11 - -19. Suppose 0 = -2*v - z, v = -3*k - 2*v - 6. Factor 1/4*o**k - 1/2*o + 0.
o*(o - 2)/4
Let v(y) be the second derivative of -5*y**4/12 - 5*y**3/6 + 15*y**2 + 42*y. Find g, given that v(g) = 0.
-3, 2
Let q(w) be the first derivative of -w**8/6720 - w**7/1680 + w**6/480 + w**5/120 - w**4/24 - w**3 - 1. Let p(r) be the third derivative of q(r). Factor p(n).
-(n - 1)**2*(n + 2)**2/4
Suppose -b - 2 = -2*b. Factor -7*h**4 - 3*h**4 + h**4 + 4*h**2 - b*h**3 + 7*h**4.
-2*h**2*(h - 1)*(h + 2)
Let l(x) be the first derivative of -1/18*x**4 + 4 + 0*x + 0*x**2 + 2/45*x**5 + 0*x**3. Solve l(u) = 0 for u.
0, 1
Let b(i) = i**3 - 7*i**2 + 6*i + 2. Let k be b(6). Suppose 0 = k*o + 6 - 18. What is x in 4*x + o*x**2 - 2*x**3 + 2*x**4 + 4*x**2 + 10*x**3 = 0?
-2, -1, 0
Let h(n) = n**3 + 3*n**2 - 4*n + 2. Let l be h(-4). What is q in 4*q**l - 4*q**2 + 2*q**2 = 0?
0
Let t be (-1)/(-8)*(0 - -3 - -3). Let x(j) be the second derivative of 1/8*j**4 + 0 + t*j**2 - 1/2*j**3 + j. Determine b so that x(b) = 0.
1
Suppose -3*u - 4 + 16 = 0. Let l(g) be the first derivative of 7/10*g**2 - 4/5*g**u + 1/5*g - 1 + 8/15*g**3. Factor l(k).
-(k - 1)*(4*k + 1)**2/5
Let u(y) = 7*y**4 - 6*y**3 - y**2 - 8*y + 8. Let h(q) = q**4 - q**3 - q + 1. Let a(g) = g**2 - 11*g + 6. Let p be a(6). Let l(b) = p*h(b) + 3*u(b). Factor l(n).
-3*n**2*(n - 1)**2
Let a(c) be the first derivative of -c**6/3 - 2*c**5 - 7*c**4/2 - 2*c**3 - 55. Find q, given that a(q) = 0.
-3, -1, 0
Let p(q) = -q**4 - 4*q**3 + q**2 + q. Let y(k) = -k**3 - k**2 - k. Let r(b) = -p(b) + 3*y(b). Solve r(z) = 0.
-2, -1, 0, 2
Suppose -48 + 62*n**3 + 25*n**4 - 43 + 3*n**5 + 31*n + 66*n**2 + 96 = 0. What is n?
-5, -1, -1/3
Let h = 0 + 0. Suppose h + 6 = 2*s. Solve o - 14*o**2 + o**3 + s*o + 9*o**3 = 0.
0, 2/5, 1
Let k(x) be the second derivative of -x**6/10 + 9*x**5/10 - 3*x**4 + 5*x**3 - 9*x**2/2 + 4*x. What is n in k(n) = 0?
1, 3
Let p(g) = 3*g**3 - 10*g**2 + 4. Let q be p(8). Determine t, given that -616*t**2 + q*t**4 + 20*t**3 - 111*t - 1 - 31 - 161*t = 0.
-2/5, -2/9, 1
Let c be (-38)/(-4) + 1 + -7. Factor -1 - 11/2*k - 8*k**2 - c*k**3.
-(k + 1)**2*(7*k + 2)/2
Let t(l) be the first derivative of -2*l**3/15 - 3*l**2/5 + 8. Factor t(z).
-2*z*(z + 3)/5
Let x(n) be the second derivative of -1/120*n**6 + 0*n**5 + 0*n**3 + n + 0 + 0*n**2 + 0*n**4. Determine u so that x(u) = 0.
0
Factor 4*m - 102 + 5*m + 132 - 3*m**2.
-3*(m - 5)*(m + 2)
Let r(g) be the first derivative of 3 + 0*g + 1/8*g**2 + 1/16*g**4 - 1/6*g**3. Factor r(a).
a*(a - 1)**2/4
Let s = -54 + 58. Solve 1/2 - z**3 + 3*z - 2*z**5 + s*z**2 - 9/2*z**4 = 0.
-1, -1/4, 1
Let g = -5 - -9. Determine d so that 2*d**g + 2*d**3 - 4*d**3 + 0*d**4 = 0.
0, 1
Let x(p) be the second derivative of -p**9/45360 - p**8/10080 - p**7/7560 + p**4/4 + p. Let g(t) be the third derivative of x(t). Factor g(f).
-f**2*(f + 1)**2/3
Let h(y) be the second derivative of -y**7/14 + 3*y**6/10 - 3*y**5/20 - 3*y**4/4 + y**3 + 23*y. What is j in h(j) = 0?
-1, 0, 1, 2
Let u = 311/532 - 1/76. Suppose -3*t + 9 = -0*t. Determine n so that 2/7*n**t + 4/7*n**2 - 2/7*n - u = 0.
-2, -1, 1
Factor n**4 + 13/4*n + 17/4*n**3 + 6*n**2 + 1/2.
(n + 1)**2*(n + 2)*(4*n + 1)/4
Suppose -6 = 3*x + 4*b, 5*x - 2*b - 2*b = -10. Let a = x + 5. Let -2*z**5 - 6*z**2 + 4*z**5 + 6*z**4 + a*z - 2*z**5 - 3*z**5 = 0. What is z?
-1, 0, 1
Factor -g**2 + 2*g**3 - 6*g**3 + 2*g**2 - 9*g**2 + 12*g**4.
4*g**2*(g - 1)*(3*g + 2)
Let h(u) = -u - 13. Let s be h(-15). Let v = -3 + 5. Solve -2*l**2 + 2*l**4 + l**5 - l**5 - s*l**3 + v*l**5 = 0 for l.
-1, 0, 1
Find q such that 5*q - 404 - 5*q**3 + 5*q**2 - 5*q**4 + 404 = 0.
-1, 0, 1
Let r be (6/16)/(105/70). Factor 1/4*v - 1/4*v**4 + 1/2*v**2 - r + 1/4*v**5 - 1/2*v**3.
(v - 1)**3*(v + 1)**2/4
Let r(g) be the third derivative of -g**7/280 - g**6/120 + g**3/6 + 2*g**2. Let f(w) be the first derivative of r(w). Let f(o) = 0. What is o?
-1, 0
Let i = 7 + 0. Factor -8*d**3 - 6*d**5 - 5*d**4 - 27*d**4 - i*d**5 - d**5.
-2*d**3*(d + 2)*(7*d + 2)
Solve 5/2*j**3 + 7/2*j - 9/2*j**2 - 1/2*j**4 - 1 = 0 for j.
1, 2
Let s(b) be the second derivative of 3*b**8/1120 + b**7/42 + 7*b**6/90 + 2*b**5/15 + b**4/3 + 9*b. Let x(h) be the third derivative of s(h). Factor x(d).
2*(d + 2)*(3*d + 2)**2
Let x(s) = s**3 - s + 1. Let f be 1 + -1 - 2*-1. Let c(b) = -3*b**3 - 5*b**2 - 6*b - 6. Let k(l) = f*x(l) + c(l). Factor k(i).
-(i + 1)*(i + 2)**2
Let u be (-6)/(-9)*(-9)/(-2). Suppose u*a - 16 = -a. Determine f, given that -1/4*f - 1/2*f**2 - 1/4*f**5 + 1/4*f**a + 1/4 + 1/2*f**3 = 0.
-1, 1
Let u = 18 - 18. Let z(r) be the third derivative of -1/20*r**5 + 0*r + 1/8*r**4 - 2*r**2 + u + 0*r**3. Factor z(n).
-3*n*(n - 1)
Suppose -4 = -5*y + 11. Suppose -6*q = -2*q - 4. What is o in -q + 11*o**3 + o + o**4 + 6*o**2 + y*o**4 + 3*o**2 = 0?
-1, 1/4
Let l = 2 + 0. Determine g, given that -4*g**2 + 0 + 2*g + 1 + 5*g**l = 0.
-1
Let t = 5/36 - -10/9. Find n such that -t*n + 1/2*n**2 - 1/2 + 5/4*n**3 = 0.
-1, -2/5, 1
Suppose -15 = -5*t - 0*t. Let s(d) = 4*d**4 - 3*d**3 + 2*d. Let v(j) = -5*j**4 + 3*j**3 + j**2 - 3*j. Let c(i) = t*v(i) + 4*s(i). What is h in c(h) = 0?
0, 1
Suppose 8 - 2 = 2*x. Suppose u - 5*c + 1 = -u, 2*c - 8 = -3*u. What is n in -4*n + 0*n**u + 0*n**2 - 1 + 4*n**x + 2*n**4 - 1 = 0?
-1, 1
Factor 6/5*w - 2/5*w**2 + 8/5.
-2*(w - 4)*(w + 1)/5
Let i be 0 + (-4)/10*(-2 - 0). Factor 0 - 6*l**3 - 38/5*l**4 + i*l - 14/5*l**5 - 2/5*l**2.
-2*l*(l + 1)**3*(7*l - 2)/5
Let x(y) = -2*y**2 - 13*y + 13. Let j(k) = 0*k**2 - k**2 + 6 - 6*k + 0*k**2 + 0*k**2. Let m(z) = -13*j(z) + 6*x(z). Factor m(n).
n**2
Let v = -37 - -41. Let t(y) = y**2 + 5*y + 4. Let r be t(-5). Suppose -4*p**2 + 12*p**3 + 0*p**v - 6*p**5 + 0*p**3 + 2 - 6*p + 2*p**r = 0. Calculate p.
-1, 1/3, 1
Suppose 6/11*o**5 + 0 - 2/11*o**3 - 4/11*o + 10/11*o**2 - 10/11*o**4 = 0. Calculate o.
-1, 0, 2/3, 1
Let s(q) = q + 2. Let d be s(-2). Let c(n) = -n + 5. Let a be c(d). Factor -6 - j**2 - 2*j + 4*j**2 + a*j.
3*(j - 1)*(j + 2)
Let z(k) = -21*k**2 + 6*k + 4. Let b = 3 - 6. Let o(u) = 104*u**2 - 30*u - 20. Let m(f) = b*o(f) - 14*z(f). Factor m(d).
-2*(3*d - 2)*(3*d + 1)
Let m(s) be the first derivative of s**6/1260 - s**5/140 + s**4/42 - 2*s**3/3 - 3. Let x(j) be the third derivative of m(j). Determine n so that x(n) = 0.
1, 2
Let i(u) be the second derivative of -5*u**7/42 + u**6/3 + 7*u**5/4 + 5*u**4/3 - 18*u. Solve i(o) = 0.
-1, 0, 4
Suppose -1/5*l**2 + 2/5 - 1/5*l = 0. What is l?
-2, 1
Let x = -9 - -9. Let u(j) be the third derivative of 0 + x*j**3 - 1/15*j**5 + 1/12*j**4 - 4*j**2 + 0*j + 1/60*j**6. Find q such that u(q) = 0.
0, 1
Let f(z) = 7*z**2 + 13*z + 2. Let w(k) = -20*k**2 - 38*k - 7. Let g(s) = -11*f(s) - 4*w(s). Determine q so that g(q) = 0.
-2, -1
Let i = -143 + 143. Suppose i - 4/3*x - 6*x**2 - 14/3*x**3 = 0. What is x?
-1, -2/7, 0
Let a be (-24)/42*77/(-242). Find n such that a*n**4 + 0 - 2/11*n**2 + 0*n - 2/11*n**3 + 2/11*n**5 = 0.
-1, 0, 1
Let s(l) be the second derivative of l**5/4 - 5*l**4/6 - 5*l**3/2 - 18*l. Let s(r) = 0. Calculate r.
-1, 0, 3
Let b(w) = -7*w + 2. Let m be b(1). Let p be (1/(-5))/(2/m). What is z in 1/4*z**4 + 0*z**3 + 0*z + 1/4 - p*z**2 = 0?
-1, 1
Let y(c) = 14*c**4 + 9*c**3 - 4*c**2 - 4*c. Let w(u) = u**4 + u**3 - u**2 - u. Let h(l) = 4*w(l) - y(l). Solve h(p) = 0.
-1/2, 0
Let r(j) be the third derivative of j**8/588 - 8*j**7/245 + 6*j**6/35 - 14*j**2. What is w in r(w) = 0?
0, 6
Let u(s) be the third derivative of -s**5/60 - 3*s**4/8 + s**2. Let q be u(-9). Factor q - 2/3*y**3 + 0*y + 0*y**2 + 2/3*y**4.
2*y**3*(y - 1)/3
Let p(r) = -20*r**5 + 12*r**3 + 6*r**2 - 26*r + 11. Let k(v) = 7*v**5 - 4*v**3 - 2*v**2 + 9*v - 4. Let w(t) = 17*k(t) + 6*p(t). Factor w(h).
-(h - 