-2*u*(u + 2)*(2*u - 1)/5
Let x(o) be the third derivative of -o**8/11200 - o**7/4200 + o**6/600 - 7*o**4/8 - 34*o**2. Let s(u) be the second derivative of x(u). What is f in s(f) = 0?
-2, 0, 1
Let i(t) be the second derivative of -t**4/4 - 57*t**3/2 - 37*t. Let i(x) = 0. What is x?
-57, 0
Let l = 35608/3 - 12235. Let z = l - -369. Factor -z*h**2 - 8/3 - 16/3*h - 2/3*h**3.
-2*(h + 1)*(h + 2)**2/3
Let a be (6/(-18))/(13/(-6)*1). Find v, given that 14/13*v**2 + 32/13*v + 24/13 + a*v**3 = 0.
-3, -2
Let j(o) = o**2 - o. Let a(v) = 21*v**2 - 12*v - 9. Suppose 12*d = 9*d + 99. Let u = 15 - d. Let i(l) = u*j(l) + a(l). Let i(s) = 0. Calculate s.
-3, 1
Let d(t) = -t**2 + 5*t + 17. Let q be d(7). Let m be (0 - 0)/((-6)/q). Solve 21/5*p**5 - 6/5*p**2 + 6/5*p**4 - 21/5*p**3 + 0 + m*p = 0 for p.
-1, -2/7, 0, 1
Let v = -40156/3 + 13386. Factor 0*d + 1/2*d**2 + 1/6*d**3 - v.
(d - 1)*(d + 2)**2/6
Let d = 49/3 - 47/3. Factor d*y**5 - 2*y - 16/3*y**2 + 0 + 0*y**4 - 4*y**3.
2*y*(y - 3)*(y + 1)**3/3
Suppose 2*k + 116 = -z, z + k = 4*z + 327. Let s = z - -344/3. Find q such that -16/3*q + 0 - s*q**5 + 40/3*q**2 - 10/3*q**4 + 20*q**3 = 0.
-2, -1, 0, 2/7, 2
Let 51/7*l - 14 - 1/7*l**2 = 0. Calculate l.
2, 49
Let 40/3 - 32/3*w + 14/3*w**4 - 38/3*w**2 + 2/3*w**5 + 14/3*w**3 = 0. What is w?
-5, -2, 1
Factor 19*u + 3*u**2 - 37*u - 2*u**2 - 120 + 2*u**2.
3*(u - 10)*(u + 4)
Let i(r) = -2*r**3 + 10*r**2 + 8*r - 13. Let g(z) = -6*z**3 + 28*z**2 + 24*z - 40. Let p(u) = 3*g(u) - 8*i(u). Factor p(s).
-2*(s - 2)**2*(s + 2)
Let f be (-3)/(-14)*21/18. Let t = 37 + -147/4. What is b in f*b + 0 + t*b**2 = 0?
-1, 0
Let i(x) be the first derivative of 9 + 23/2*x**4 + 2*x**5 + 20*x**3 + 4*x**2 - 16*x. Factor i(w).
2*(w + 1)*(w + 2)**2*(5*w - 2)
Let o(f) be the first derivative of 2/3*f**3 + 24 - 1/9*f**6 + 0*f + 5/6*f**4 + 2/15*f**5 + 0*f**2. Factor o(i).
-2*i**2*(i - 3)*(i + 1)**2/3
Let s be 32/80 - (-4)/(-10). Suppose s*d - d = -28. Factor 19*l**3 + 4*l - 4*l**4 - 12*l**2 - d*l**3 + 21*l**3.
-4*l*(l - 1)**3
Let a(l) be the second derivative of 1/27*l**4 - 2/9*l**2 + 0 - 17*l + 0*l**3. Factor a(s).
4*(s - 1)*(s + 1)/9
Suppose -2*j = -5*j + 12. Let x be (-2 - -6)/j*4. Factor 1 - x*o**3 - o**2 + 2*o**4 + o**2 + 4*o - 3.
2*(o - 1)**3*(o + 1)
Suppose -2*o - 14*o + 112 = 0. Let q(w) be the second derivative of -o*w - 1/30*w**5 + 1/9*w**3 + 0 + 1/6*w**4 - w**2. Suppose q(d) = 0. Calculate d.
-1, 1, 3
Let n(z) be the first derivative of 0*z - 3*z**2 - 11 - 3/5*z**5 + z**3 + 3/2*z**4. Factor n(f).
-3*f*(f - 2)*(f - 1)*(f + 1)
Solve -8/3*q + 4/3*q**4 - 4*q**2 + 0*q**3 + 0 = 0.
-1, 0, 2
Let f be (-126)/72 - (1 - 14/8). Let k be (-42)/270*-3 + f/(-3). Let -4/5*y + 2/5*y**4 + 0 - 2/5*y**2 + k*y**3 = 0. What is y?
-2, -1, 0, 1
Let j = 163/77 + -17/11. Factor 12/7*b - 12/7*b**2 + 4/7*b**3 - j.
4*(b - 1)**3/7
Let p(x) be the second derivative of 2*x**6/45 + x**5/4 + 2*x**4/9 - x**3/6 + 4*x + 15. Suppose p(c) = 0. Calculate c.
-3, -1, 0, 1/4
Let v(o) = -o**2 + 12*o - 19. Let m be v(9). Factor -2 + 28*p**2 - 6 + 1 + 8*p**3 - 5 + m*p.
4*(p + 1)*(p + 3)*(2*p - 1)
Let h(y) = -y**3 - 7*y**2 - 8*y + 7. Let d be h(-4). Let a be d/6*24/(-9). Factor -3*p**3 - 1/3*p**5 - 2/3*p + 0 - 7/3*p**2 - 5/3*p**a.
-p*(p + 1)**3*(p + 2)/3
Let r(d) be the first derivative of 3/4*d**2 + 0*d + 22 - 5/4*d**3 - 3/20*d**5 + 3/4*d**4. Factor r(c).
-3*c*(c - 2)*(c - 1)**2/4
Let q be (2 + (-64)/30)*-3. Let d = 312/5 - 62. Factor -q - d*k**2 + 4/5*k.
-2*(k - 1)**2/5
Let m(v) be the first derivative of -6/5*v**3 - 2/5*v + 8 + 6/5*v**2. Factor m(w).
-2*(3*w - 1)**2/5
Let l(c) be the first derivative of -c**4/10 - 8*c**3/15 - 3*c**2/5 + 111. Find h, given that l(h) = 0.
-3, -1, 0
Factor -1/2*t**2 - 5/6 - 1/6*t**3 + 3/2*t.
-(t - 1)**2*(t + 5)/6
Let g(c) = 2*c**3 - 10*c**2 + 12*c - 6. Let l(f) = 2*f**3 - 10*f**2 + 11*f - 6. Let u(h) = -6*g(h) + 4*l(h). Factor u(o).
-4*(o - 3)*(o - 1)**2
Let d(b) be the second derivative of -2/63*b**3 - 22*b - 3/70*b**5 + 1/18*b**4 + 0 + 0*b**2 - 1/441*b**7 + 1/63*b**6. Suppose d(p) = 0. Calculate p.
0, 1, 2
Suppose -r = 3, -p - 2*p = 5*r. Let f = p + -23/5. Solve 1/5*l**3 + f + l + 4/5*l**2 = 0 for l.
-2, -1
Factor -3/8*i - 1/8*i**2 + 9/4.
-(i - 3)*(i + 6)/8
Factor 6/5*f**3 - 8/5*f + f**4 + 1/5*f**5 - 4/5*f**2 + 0.
f*(f - 1)*(f + 2)**3/5
Let x(c) be the second derivative of -c**8/3360 + c**7/4410 + c**6/360 - c**5/210 + c**4/2 - c. Let n(u) be the third derivative of x(u). Factor n(f).
-2*(f - 1)*(f + 1)*(7*f - 2)/7
Let a(h) = h - 16. Let z be a(18). Factor 0*s**z - 2*s + 0*s - 4*s + 3*s**2.
3*s*(s - 2)
Let x(r) be the first derivative of r**6/24 + 17*r**5/4 + 609*r**4/4 + 6076*r**3/3 + 2744*r**2 - 33. Factor x(g).
g*(g + 1)*(g + 28)**3/4
Let u be (-4)/(-60) - 40/(-25). Let f(h) be the second derivative of -2/15*h**6 + 4*h + 0*h**2 - 3/5*h**5 - 4/3*h**3 + u*h**4 + 2/21*h**7 + 0. Factor f(j).
4*j*(j - 1)**3*(j + 2)
Let z(i) be the second derivative of -i**4/15 - 4*i**3/3 - 32*i**2/5 - 308*i. Solve z(d) = 0 for d.
-8, -2
Let x be 0*21/378*9. Factor 2/13*r**2 + 2/13*r**4 + x*r + 4/13*r**3 + 0.
2*r**2*(r + 1)**2/13
Factor 255*f**3 + 505*f**2 + 120 - 7364*f**5 + 122*f + 288*f + 7359*f**5 + 35*f**4.
-5*(f - 12)*(f + 1)**3*(f + 2)
Suppose 75*z = 36*z + 43*z - 12. Suppose 2/3*g + 2/9 + 2/9*g**z + 2/3*g**2 = 0. Calculate g.
-1
Let x(h) be the second derivative of h**4/4 - 3*h**3 + 27*h**2/2 - 50*h. Factor x(z).
3*(z - 3)**2
Let f(p) be the first derivative of -p**5/10 - 5*p**4/8 - p**3/3 + 2*p**2 + 71. Suppose f(k) = 0. Calculate k.
-4, -2, 0, 1
Let d(t) be the third derivative of -7*t**6/720 + t**5/120 - 4*t**3/3 + 23*t**2. Let o(c) be the first derivative of d(c). Let o(h) = 0. Calculate h.
0, 2/7
Let f(c) = 4*c**2 - 3*c - 1. Let o(b) = 3*b**2 - b + 0*b - b - 1. Let g be (1*-7)/(-4*9/(-36)). Let z(l) = g*o(l) + 5*f(l). Let z(u) = 0. What is u?
-2, 1
Let f(i) be the third derivative of -i**6/120 + 13*i**5/60 - 11*i**4/24 - 2*i**3 + 7*i**2. Let y be f(12). What is r in -1 + y + 1 - 2*r**2 = 0?
0
Let m(t) be the second derivative of -t**4/12 - 53*t**3/6 - 26*t**2 + 9*t + 13. Factor m(o).
-(o + 1)*(o + 52)
Let r = -513838/15 - -34256. Factor -2/15*i**3 + 2/5*i**2 + r - 2/5*i.
-2*(i - 1)**3/15
Let i(g) = -g**4 + g**2 + 1. Let h(w) = 3*w**5 - 23*w**4 + 30*w**3 + 56*w**2 - 81*w - 79. Let q(r) = -h(r) + 2*i(r). Factor q(n).
-3*(n - 3)**3*(n + 1)**2
Let x(h) be the first derivative of -h**3/5 - 24*h**2/5 + 51*h/5 + 40. Solve x(w) = 0.
-17, 1
Let b = -2/10899 - -10903/21798. Let w = 0 + 2. Factor -1/2 - b*x**w - x.
-(x + 1)**2/2
Determine g, given that -g**3 - 197*g + 199*g + 12 + 3*g**3 - 8*g**2 = 0.
-1, 2, 3
Let b(p) be the third derivative of p**7/1050 + p**6/600 - p**5/300 - p**4/120 - 133*p**2. Factor b(u).
u*(u - 1)*(u + 1)**2/5
Let y = 2497/2 - 1246. Let i(f) be the third derivative of 0 + 0*f - 2*f**3 + y*f**4 - 5/4*f**5 - 3*f**2. What is z in i(z) = 0?
2/5
Let s(m) be the second derivative of -m**6/80 - 3*m**5/160 + m**4/32 + m**3/16 + 68*m. Determine b, given that s(b) = 0.
-1, 0, 1
Let q(r) be the third derivative of 1/4*r**3 - 1/30*r**5 + 1/48*r**4 + 0 + 9*r**2 + 0*r. Factor q(b).
-(b - 1)*(4*b + 3)/2
Let o = 135/7 - 668/35. Factor o*p**2 - 1/5*p**3 + 1/5*p + 0 - 1/5*p**4.
-p*(p - 1)*(p + 1)**2/5
Let w = 46 - 30. Suppose w = 7*k - 3*k. Factor 11*f**3 - 4 + 17*f**3 - 24*f**2 + 10*f + 6*f - 12*f**3 - k*f**4.
-4*(f - 1)**4
Factor 105/4 + 5/4*w**2 + 25/2*w.
5*(w + 3)*(w + 7)/4
Let q(y) be the third derivative of -y**7/1050 + y**6/100 - 13*y**5/300 + y**4/10 - 2*y**3/15 + y**2 - 59. Factor q(o).
-(o - 2)**2*(o - 1)**2/5
Let z(t) = 23811*t**3 - 22431*t**2 - 1366*t - 20. Let s(l) = l**3 - l**2 - l. Let c(b) = 6*s(b) - z(b). Solve c(n) = 0 for n.
-2/69, 1
Let 0*x + 1/2*x**5 + 0*x**3 + 0 - 2*x**2 + 3/2*x**4 = 0. Calculate x.
-2, 0, 1
Suppose 6*g - g - 10 = 0. Let b(w) be the first derivative of 0*w + w**3 + 7 - 3/2*w**g. Factor b(z).
3*z*(z - 1)
Suppose 0 = 6*u - 10*u + 76. Suppose -z + 5 = 3*z - 3*r, 2*z - 3*r = 1. Factor -3*a**3 - 7*a - 8 + 15*a**2 - z*a - u.
-3*(a - 3)**2*(a + 1)
What is c in 17*c + c**3 + 3*c**3 - 81*c - 48 - 32 - 4*c**2 = 0?
-2, 5
Let a(k) be the first derivative of k**6/27 + 4*k**5/45 + k**4/18 + 103. Factor a(z).
2*z**3*(z + 1)**2/9
Let f(i) be the first derivative of 3*i**4/4 - 4*i**3 + 