8/11*t - 2*t**3 + 0 - l*t**4 + 8/11*t**2.
2*t*(t - 1)**2*(3*t + 2)**2/11
Factor 323/6*i + 361/6 - 37/6*i**2 + 1/6*i**3.
(i - 19)**2*(i + 1)/6
Let j(u) be the second derivative of -u**8/1320 + 19*u**7/4620 + u**6/330 + 35*u**3/6 + 20*u. Let v(p) be the second derivative of j(p). Factor v(z).
-2*z**2*(z - 3)*(7*z + 2)/11
Let b = -34307/9 - -11476/3. Solve 1/9*z**2 - 22/9*z + b = 0.
11
Suppose 51 = 5*w - 4. Suppose -w*r - 13 = -68. Suppose 1/2 - 1/4*n**r - n**2 + 1/2*n**4 - 1/4*n + 1/2*n**3 = 0. What is n?
-1, 1, 2
Suppose 5*n - k = 426 - 3259, 2*k - 2836 = 5*n. Let z = n - -9626/17. Find u, given that 0 + 2/17*u + z*u**2 + 2/17*u**3 = 0.
-1, 0
Suppose 2*z - 25 = -45*t + 50*t, -4*z = 3*t - 11. Let o(v) be the second derivative of -1/18*v**3 + 0*v**2 + 0 + 1/60*v**z + 0*v**4 - 2*v. Factor o(h).
h*(h - 1)*(h + 1)/3
Let x = 173 + -169. Let g(r) be the first derivative of -1/6*r**x - 4 + 8/9*r**3 - 5/3*r**2 + 4/3*r. Let g(a) = 0. Calculate a.
1, 2
Let y(v) be the second derivative of -2*v**6/15 + 2*v**5/5 + 68*v - 1. Solve y(p) = 0 for p.
0, 2
Let q = -45 + 47. Suppose -56*d + 57*d - q = 0. Factor -10/3*y**4 - 4/3*y + 0 - 8*y**3 - 6*y**d.
-2*y*(y + 1)**2*(5*y + 2)/3
Let c(j) = -j**3 + 4*j**2 - 3*j + 1. Let u be c(2). Factor 5*v**3 - 75*v - 125 - 3*v**u - 3*v**3 - 15*v**2.
-(v + 5)**3
Let o be 0/(14 + -16 + (1/(-1) - -2)). Let n = -17/2 + 131/14. Factor 2/7*l**3 + o + 8/7*l**2 + n*l.
2*l*(l + 1)*(l + 3)/7
Let d = -19 + 25. Let v(c) be the third derivative of 3*c**2 + 0*c**3 + 1/30*c**5 + 0*c**4 + 0*c + 0 - 1/40*c**d + 1/210*c**7. Find z, given that v(z) = 0.
0, 1, 2
Let u(z) = -z**3 + 4*z**2 + 5*z + 2. Let r be u(5). Suppose 4*m = 7*m - 9. Suppose 27 - 12*n + m*n**2 + 0*n**r - n**2 - 9 = 0. What is n?
3
Let v = 22 - 18. Suppose 4*f = 5*r - 5 - v, -5*f + 10 = -2*r. What is x in 11*x**f - 8*x**4 - x**3 + 0*x**3 = 0?
0, 1/3
Let 0 - 3/5*c**3 - c + 9/5*c**2 - 1/5*c**4 = 0. What is c?
-5, 0, 1
Let i(w) = 2*w**2 - 1. Let o(r) = -13*r**2 + 3*r + 16. Let n(u) = -6*i(u) - o(u). Factor n(p).
(p - 5)*(p + 2)
Let z(x) be the third derivative of 0*x**4 - 1/240*x**6 + 0*x + 0 - 1/240*x**5 + 0*x**3 + 14*x**2. Factor z(c).
-c**2*(2*c + 1)/4
Let u be (14/3 + 2 + -4)*18. Let s be (-21)/(((-36)/32)/(4/u)). Suppose 4/9*o**3 - 2/9*o**5 + 4/9*o**4 - 4/9 + s*o - 16/9*o**2 = 0. Calculate o.
-2, 1
Let h = -2821 + 2825. Factor 88/5*d**3 + 32/5*d**2 + 72/5*d**4 + h*d**5 - 12/5*d - 8/5.
4*(d + 1)**4*(5*d - 2)/5
Let i(c) be the first derivative of 3*c**4/4 + 31*c**3 - 48*c**2 + 155. Factor i(z).
3*z*(z - 1)*(z + 32)
Let k(d) = -d**4 - 2*d**3 - d**2 + d - 1. Let j(r) = 4*r**4 + 58*r**3 + 226*r**2 + 362*r + 206. Let u(w) = -j(w) + 2*k(w). Factor u(o).
-2*(o + 2)**3*(3*o + 13)
Let r(z) be the first derivative of 6 - 2/13*z**2 + 5*z - 1/26*z**4 + 7/39*z**3. Let x(a) be the first derivative of r(a). Determine c, given that x(c) = 0.
1/3, 2
Factor 1/9*o**3 + 16/3*o - 64/9 + 5/3*o**2.
(o - 1)*(o + 8)**2/9
Let g(t) = -t**5 + t**4 - 4*t**3 - 2*t + 2. Let d(y) = -3*y**5 + 4*y**4 - 14*y**3 - 7*y + 7. Let s(x) = -4*d(x) + 14*g(x). Factor s(h).
-2*h**4*(h + 1)
Let 96/7*h**3 - 27/7*h**4 + 144/7*h - 24*h**2 - 48/7 + 3/7*h**5 = 0. What is h?
1, 2
Suppose -4*p - t + 4*t = -5, 3*p - 2*t = 5. Let p + 6*c - 2 + c**2 + 2*c**2 = 0. What is c?
-1
Let p(g) be the second derivative of 1/110*g**5 + 0 + 0*g**3 - 34*g + 0*g**2 + 1/22*g**4. Factor p(z).
2*z**2*(z + 3)/11
Let m(j) be the third derivative of -j**6/24 + j**5/3 - 5*j**4/24 - 5*j**3 + 172*j**2. Solve m(y) = 0.
-1, 2, 3
Let m(l) be the second derivative of 4*l**7/105 + l**6/25 - 13*l**5/50 - l**4/30 + 3*l**3/5 - 2*l**2/5 + 2*l + 22. Suppose m(a) = 0. What is a?
-2, -1, 1/4, 1
Let s = 43 - 41. Factor 2*t**s + 16*t - 4*t**4 - t**2 + 8*t**3 + 3*t**2 - 24*t**3.
-4*t*(t - 1)*(t + 1)*(t + 4)
Let z be 449/(-225) + -2*1/(-1). Let a(u) be the second derivative of 3*u + 0*u**2 - 1/315*u**7 + 1/30*u**5 + z*u**6 + 0 + 1/30*u**4 + 0*u**3. Factor a(n).
-2*n**2*(n - 3)*(n + 1)**2/15
Let k(q) be the third derivative of q**5/30 + q**4/12 - 2*q**3/3 - 6*q**2 - 40*q. Find u such that k(u) = 0.
-2, 1
Let c(p) = 3*p**3 - 17*p**2 - 91*p + 9. Let z be c(9). Solve z + 3/4*q**3 + 0*q - 1/2*q**2 - 1/4*q**4 = 0 for q.
0, 1, 2
Let u(k) = k**3 + 2*k**2 - 10*k + 9. Let m be u(1). Let v(n) be the first derivative of -1/12*n**3 - 6 + 1/2*n - 1/8*n**m. Solve v(w) = 0 for w.
-2, 1
Suppose 18/7 - 9/7*h + 1/7*h**2 = 0. Calculate h.
3, 6
Let d(n) be the second derivative of -1/30*n**5 - 8/9*n**3 + n - 16/3*n**2 + 7/18*n**4 + 0. Solve d(v) = 0.
-1, 4
Factor -3*j**3 + 4*j**4 + 2928*j - 24*j**2 - 2960*j + 15*j**3.
4*j*(j - 2)*(j + 1)*(j + 4)
Let v(x) be the third derivative of x**7/1512 + x**6/72 + x**5/8 - 17*x**4/12 + 24*x**2. Let l(i) be the second derivative of v(i). Let l(z) = 0. What is z?
-3
Let x(m) be the second derivative of -m**4/20 + m**3/2 - 6*m**2/5 + 245*m. Factor x(p).
-3*(p - 4)*(p - 1)/5
Let x(a) be the second derivative of -a**6/6 + 5*a**4/12 + a + 11. Suppose x(w) = 0. Calculate w.
-1, 0, 1
Let x(u) be the third derivative of 1/320*u**6 + 0*u**3 + 1/192*u**4 + 1/160*u**5 + 0 - 24*u**2 + 1/1680*u**7 + 0*u. Factor x(g).
g*(g + 1)**3/8
Suppose 14*h - 23 = -303. Let y be h/(-165)*6/4. Factor 0 + y*i**2 + 2/11*i.
2*i*(i + 1)/11
Factor 70*d + d**3 + d**3 + 48 - 2022*d**2 + 2046*d**2.
2*(d + 1)*(d + 3)*(d + 8)
Let p(i) = -2*i + 61. Let l be p(29). Suppose 0 = -16*h + 13*h. Find g such that h*g**2 + 0*g**4 - 2/9*g + 4/9*g**l - 2/9*g**5 + 0 = 0.
-1, 0, 1
Let f(c) = 3*c**2 - 343*c - 13443. Let q(j) = 10*j**2 - 1032*j - 40328. Let n(a) = 16*f(a) - 5*q(a). Factor n(w).
-2*(w + 82)**2
Let v(u) = -u**2 + 14*u - 21. Let a be v(12). Let b(t) be the first derivative of -6*t + 3/4*t**4 - 4*t**a + 15/2*t**2 + 1. Find s, given that b(s) = 0.
1, 2
Let o(i) = 2 + 4*i**3 + 2 - 10*i**2 - 3*i**3. Let v be o(10). Factor 17*s + v - 8*s - s + 49*s**2 + 20*s.
(7*s + 2)**2
Let j(g) be the first derivative of g**6/10 + 18*g**5/25 + 3*g**4/10 - 4*g**3 - 81*g**2/10 - 6*g - 185. Factor j(z).
3*(z - 2)*(z + 1)**3*(z + 5)/5
Let i be 8 - 3/15*35 - (-52)/(-60). Factor 4/15*q**2 + 2/15*q - 4/15 - i*q**3.
-2*(q - 2)*(q - 1)*(q + 1)/15
Suppose -10/9*g**4 + 0 + 38/9*g**2 + 16/9*g**3 + 4/3*g = 0. What is g?
-1, -2/5, 0, 3
Let o(j) be the second derivative of -j**6/95 + 2*j**5/95 + 14*j**4/57 + 16*j**3/57 - 352*j. Determine b so that o(b) = 0.
-2, -2/3, 0, 4
Suppose -8*h + h + 245 = 0. Suppose -4*f - h = -5*t + f, -3*f - 11 = 2*t. Find u, given that 157*u + u**2 + 2*u**2 - 50 - 5*u**t - 137*u = 0.
5
Determine u, given that -3/2*u**3 + 9/8*u**2 - 3/2 + 3/2*u + 3/8*u**4 = 0.
-1, 1, 2
Let q(z) be the first derivative of -z**7/1960 + 3*z**5/280 - z**4/28 + 9*z**3 - 20. Let l(f) be the third derivative of q(f). Solve l(x) = 0.
-2, 1
Let n(f) be the second derivative of -3/80*f**5 - 1/32*f**4 - 3*f + 0 + 0*f**3 + 0*f**2 - 1/80*f**6. Let n(g) = 0. Calculate g.
-1, 0
Let s = 601 + -597. Let n(l) be the second derivative of 0*l**2 + 0 + l**3 + 6*l - 1/4*l**s. Factor n(i).
-3*i*(i - 2)
Let g(z) = -7*z**2 + z - 19. Let i be g(-4). Let c be (1 - 11/10)/(18/i). Factor 3/4*a**2 + 1/4 - c*a - 1/4*a**3.
-(a - 1)**3/4
Let q(o) be the second derivative of -o**7/273 + 4*o**6/195 - 3*o**5/130 - 15*o + 2. Let q(l) = 0. Calculate l.
0, 1, 3
Let q(t) be the first derivative of -12/5*t**5 - 11 + 4*t**3 + 0*t + t**4 - 2*t**2. Determine y, given that q(y) = 0.
-1, 0, 1/3, 1
Suppose -10*j + 40 = -17*j + 27*j. Find i such that 33/2*i + 0 + 3/2*i**j = 0.
-11, 0
Let q(u) = u**3 + 2*u**2 + 22*u + 5. Let i be q(0). Let 0*p - 1/4*p**3 + 0 + 1/4*p**i + 0*p**2 + 0*p**4 = 0. What is p?
-1, 0, 1
Determine s, given that 2/9*s**2 + 968/9 + 88/9*s = 0.
-22
Let a(s) = s**2 + 13*s + 8. Let c(y) be the third derivative of y**4/24 - 2*y**2. Let n(l) = 5*a(l) - 35*c(l). Solve n(v) = 0 for v.
-4, -2
Let z(o) be the second derivative of o**6/165 + o**5/55 - 7*o**4/22 - 2*o**3/3 + 40*o**2/11 + 595*o. Solve z(x) = 0 for x.
-5, -2, 1, 4
Let a be (-1)/((-1 - 2) + (-132)/(-48)). Let c(s) be the second derivative of 0*s**3 - 1/35*s**5 + 6*s + 2/105*s**6 + 0*s**2 + 0 + 0*s**a. Solve c(w) = 0.
0, 1
Find r such that -2*r**5 + 82*r**2 - 14/3*r**4 + 24*r + 86/3*r**3 + 0 = 0.
-3, -1/3, 0, 4
Suppose -18*u + 20*u - 396 = 0. Let n be u/(-33) + 70/11. Factor 6/11 - 2/