 = 0?
-1, -1/4
Let z(x) = x + 15. Let u be z(-10). Let l(s) be the third derivative of 0 - 1/60*s**u - 4*s**2 + 1/12*s**4 - 1/6*s**3 + 0*s. Factor l(n).
-(n - 1)**2
Find f, given that 3/5*f**2 + 54/5 - 27/5*f = 0.
3, 6
Let b = -1/27 + 335/297. Factor 6/11 - 12/11*g - 6/11*g**4 + 0*g**2 + b*g**3.
-6*(g - 1)**3*(g + 1)/11
Let u(l) be the second derivative of 0*l**2 + 0 + 8*l + l**3 - 1/4*l**4. Suppose u(y) = 0. What is y?
0, 2
Solve 2/3 - 5/6*t - 1/6*t**4 - 1/2*t**2 + 5/6*t**3 = 0.
-1, 1, 4
Let f(y) be the first derivative of 2*y**7/35 - 2*y**6/75 + 9*y - 4. Let r(t) be the first derivative of f(t). Factor r(d).
4*d**4*(3*d - 1)/5
Suppose -5*g + 0*g = -40. Let u be 7 + g/(-4)*2. Factor -1/7*p**2 + 4/7 - 4/7*p + 1/7*p**u.
(p - 2)*(p - 1)*(p + 2)/7
Let z(r) be the third derivative of -1/735*r**7 + 1/84*r**6 + 0*r**4 - 1/1176*r**8 + 0*r**3 + 22*r**2 + 0 + 0*r - 1/70*r**5. Let z(v) = 0. Calculate v.
-3, 0, 1
Let b(a) be the third derivative of 0*a - 31*a**2 + 7/80*a**5 - 1/280*a**7 + 15/32*a**4 - 3/160*a**6 + 0 - 9/4*a**3. Let b(s) = 0. What is s?
-3, 1, 2
Let g(m) be the third derivative of m**5/60 - 7*m**4/8 + 10*m**3/3 + 631*m**2. Factor g(s).
(s - 20)*(s - 1)
Factor 0*q**2 + 4*q**3 + 0 + 0*q - 1/2*q**4.
-q**3*(q - 8)/2
Suppose 0 = -5*t + 3*a - 21, -5*t + 3*a - 24 = a. Let w = -4 - t. Factor z - 2*z**w + 0*z + 85*z**5 - 86*z**5 + 2*z**4.
-z*(z - 1)**3*(z + 1)
Let f be (-1 + -9)/((-4)/6). Suppose 6*a = a + f. Factor 5*o**3 + 2*o**a - 5*o**3.
2*o**3
Factor 4/7*d**4 - 4/7*d**2 - 2/7*d**5 + 0 + 2/7*d + 0*d**3.
-2*d*(d - 1)**3*(d + 1)/7
Let 75/7 - 30/7*c + 3/7*c**2 = 0. Calculate c.
5
Let d = 4773/2 - 2453. Let t = 67 + d. Let t*w**4 + 3/2*w**2 + 1/2*w + 0 + 3/2*w**3 = 0. What is w?
-1, 0
Let m(j) = -7*j**2 + 517*j + 600. Let c be m(75). Factor 2/19 + c*s**2 - 4/19*s - 2/19*s**4 + 4/19*s**3.
-2*(s - 1)**3*(s + 1)/19
Let v(r) = -20*r**4 - 121*r**3 + 115*r**2. Let g(s) = 3*s**4 + 20*s**3 - 19*s**2. Let k(o) = 39*g(o) + 6*v(o). What is y in k(y) = 0?
0, 1, 17
Let y(n) be the second derivative of -n**6/15 + 33*n**5/10 - 16*n**4/3 - 3*n + 21. Factor y(x).
-2*x**2*(x - 32)*(x - 1)
Suppose 140 = 5*c - c. Factor 80*t**3 - 60*t**3 - c*t**5 + 6 - 6 + 60*t**4.
-5*t**3*(t - 2)*(7*t + 2)
Let u(x) be the second derivative of 0*x**3 + 1/4*x**4 + 11*x + 0 + 1/20*x**5 - 2*x**2. Find p, given that u(p) = 0.
-2, 1
Let f(n) = -n**3 + 7*n**2 + 4*n - 6. Let v be f(8). Let s = 40 + v. Suppose 4 - 12*u**2 - 5*u**2 - 6*u + 22*u**2 - 3*u**s = 0. Calculate u.
1, 2
Let v be (5/(60/(-16)) + 16/16)*-11. Suppose 2/3*o - 1/3*o**2 - o**5 - v*o**4 + 0 - 11/3*o**3 = 0. Calculate o.
-2, -1, 0, 1/3
Let u(i) be the third derivative of i**8/224 + 3*i**7/70 + 13*i**6/80 + 3*i**5/10 + i**4/4 + 78*i**2. Solve u(f) = 0 for f.
-2, -1, 0
Let l(v) be the second derivative of -v**5/40 - 7*v**4/24 - 7*v**3/6 - 2*v**2 - 4*v - 4. Let l(m) = 0. What is m?
-4, -2, -1
Let r = -237 - -1663/7. Let k(y) be the first derivative of 2/21*y**3 - 9 + r*y**2 + 8/7*y. Suppose k(p) = 0. Calculate p.
-2
Let r(p) = -p**3 - 9*p**2 + p + 6. Let y be r(-9). Let g be 0 - (-87)/(-33) - y*1. Factor 2/11*n**2 + g + 6/11*n.
2*(n + 1)*(n + 2)/11
Suppose -183 = 5*v + 177 - 375. Solve 0 - 9/8*x**v + 3/4*x + 15/8*x**2 = 0 for x.
-1/3, 0, 2
Let k(f) be the third derivative of -f**8/70560 - f**7/17640 + f**5/10 + 2*f**2. Let n(q) be the third derivative of k(q). Suppose n(h) = 0. What is h?
-1, 0
Factor 4*q**4 + 74*q + 20*q**2 - 230*q + 60*q**3 + 55*q**2 + 17*q**2.
4*q*(q - 1)*(q + 3)*(q + 13)
Let s(z) = -2*z**2 + 57*z - 338. Let r(d) = d. Let x(k) = -5*r(k) + s(k). Suppose x(g) = 0. Calculate g.
13
Find v, given that -20/9*v**4 - 100/9*v**2 + 0 + 70/9*v**3 + 2/9*v**5 + 16/3*v = 0.
0, 1, 2, 3, 4
Let w(c) = -8*c + 1. Let z be w(-4). Suppose g + z = 12*g. Let 0 - 4/5*k + 18/5*k**2 + 2*k**4 - 24/5*k**g = 0. What is k?
0, 2/5, 1
Let i = 16319 - 81546/5. Find z, given that 63/5*z**4 + i*z**5 + 8/5 - 71/5*z**2 - 43/5*z**3 - 6/5*z = 0.
-1, -4/7, 2/7, 1
Suppose 4 = -3*u + 25. Suppose -2*r = -4*f - 16, -7*r - 4*f + 40 = -2*r. Factor 18 - 8 + u*d + 3*d**2 - r.
(d + 2)*(3*d + 1)
Let k(q) be the second derivative of 10*q**7/21 - 13*q**6/6 + 15*q**5/4 - 35*q**4/12 + 5*q**3/6 + 17*q + 2. Let k(r) = 0. What is r?
0, 1/4, 1
Let l(g) be the second derivative of 3/2*g**2 + 0 - 1/80*g**5 + 1/12*g**3 + 3*g - 5/96*g**4. Let b(x) be the first derivative of l(x). Factor b(s).
-(s + 2)*(3*s - 1)/4
Factor 2/3 + 5/3*p + 4/3*p**2 + 1/3*p**3.
(p + 1)**2*(p + 2)/3
Let c(m) = 5*m**2 - 55*m + 6. Let a(v) = -5*v**2 + 55*v - 8. Let h(d) = -3*a(d) - 4*c(d). Factor h(g).
-5*g*(g - 11)
Factor 294/11 + 292/11*i - 2/11*i**2.
-2*(i - 147)*(i + 1)/11
What is k in -k**4 + 1/2*k**3 + 0*k**2 + 0*k + 0 = 0?
0, 1/2
Let o(h) be the first derivative of 4*h**5/5 + h**4 - 4*h**3/3 - 2*h**2 - 89. Determine y so that o(y) = 0.
-1, 0, 1
Let a be 108/26 - 48/312. Let u = 103 + -99. Find i, given that -1 - 25/4*i**2 - 7/4*i**u + a*i + 1/4*i**5 + 19/4*i**3 = 0.
1, 2
Let c be (2 - (-348)/(-175))/(84/70). Let p(k) be the third derivative of -1/30*k**6 + 0 - c*k**7 - 4/3*k**3 + 0*k + 1/10*k**5 + 1/3*k**4 + 6*k**2. Factor p(z).
-2*(z - 1)**2*(z + 2)**2
Let d(g) = g - 7. Let o be d(12). Factor 135*c**3 + o*c + 8 + 22*c**4 + 84*c**2 + 39*c - 67*c**3 - 2*c**4.
4*(c + 1)**3*(5*c + 2)
Let m(z) be the first derivative of 32*z**6/15 + 8*z**5 + 11*z**4 + 6*z**3 - 7*z - 11. Let x(r) be the first derivative of m(r). Find u, given that x(u) = 0.
-1, -3/4, 0
Let d(u) be the first derivative of -u**6/1260 + u**5/60 + 2*u**4/21 - 17*u**3/3 + 46. Let s(v) be the third derivative of d(v). Factor s(w).
-2*(w - 8)*(w + 1)/7
Determine w so that -1/3*w**2 - 4*w + 0 = 0.
-12, 0
Let w(z) = -7*z**4 - 178*z**3 - 356*z**2 - 173*z - 3. Let q(t) = -13*t**4 - 358*t**3 - 712*t**2 - 347*t - 5. Let h(c) = -3*q(c) + 5*w(c). Factor h(v).
4*v*(v + 1)**2*(v + 44)
Let p(k) be the second derivative of -k**5/15 - k**4 - 6*k**3 - 18*k**2 + 27*k - 2. Factor p(c).
-4*(c + 3)**3/3
Let 0 + 0*w**2 + 2*w - 1/2*w**3 = 0. What is w?
-2, 0, 2
Factor -5/6 + 1/6*r**2 - 2/3*r.
(r - 5)*(r + 1)/6
Let j = 2648 + -18518/7. Factor 8/7 + 12/7*y**2 + j*y + 2/7*y**3.
2*(y + 1)**2*(y + 4)/7
Let l = -21758 - -21762. Factor -10/3*q**2 + 0*q**3 + 0*q + 5/3 + 5/3*q**l.
5*(q - 1)**2*(q + 1)**2/3
Determine q so that -32*q**3 + 17*q + 2*q**5 - 6*q**4 - 18*q**4 - 6*q**5 + 24*q**2 + 19*q = 0.
-3, -1, 0, 1
Let m(l) be the first derivative of -l**6/3 + 6*l**5/5 + 3*l**4/2 - 14*l**3/3 - 6*l**2 - 74. Let m(w) = 0. Calculate w.
-1, 0, 2, 3
Factor 0 + 0*u + 5/2*u**4 + 2*u**5 - u**3 - 3/2*u**2.
u**2*(u + 1)**2*(4*u - 3)/2
Let d(k) be the third derivative of k**6/480 + k**5/240 - 5*k**4/96 + k**3/8 + 56*k**2. Factor d(b).
(b - 1)**2*(b + 3)/4
Let x(u) be the third derivative of u**7/735 - 5*u**6/84 + 3*u**5/5 - 59*u**4/21 + 152*u**3/21 - 91*u**2 - 2*u. Let x(k) = 0. What is k?
2, 19
Let c(o) be the third derivative of o**6/120 + 8*o**5/45 + 32*o**4/27 + 23*o**2. Factor c(v).
v*(3*v + 16)**2/9
Let f(n) be the second derivative of n**4/4 - n**3/2 - 5*n - 2. Factor f(z).
3*z*(z - 1)
Determine u so that 2/19*u**2 + 0 + 34/19*u = 0.
-17, 0
Let b = 10072/5 - 2014. Let -1/5*h - 1/5 - 1/5*h**5 - 1/5*h**4 + 2/5*h**3 + b*h**2 = 0. Calculate h.
-1, 1
Let r(m) = -4*m**3 + 6*m**2 - 18. Let u(h) = -3*h**3 + 5*h**2 - 12. Let x(n) = 2*r(n) - 3*u(n). Factor x(j).
j**2*(j - 3)
Let n = 21 + -16. Suppose 0 = n*o - 1670 + 370. Factor 263*i**4 + 3*i**5 - o*i**4 + 0*i**5.
3*i**4*(i + 1)
Suppose -6*q + 12 = -3*q. Let c = q - 1. Factor -3/4*y**3 - 3*y**2 + 0 - c*y.
-3*y*(y + 2)**2/4
Let y(n) be the third derivative of -n**6/200 - n**5/25 + 7*n**4/10 - 16*n**3/5 - 9*n**2. What is g in y(g) = 0?
-8, 2
Factor -9*l**2 + 4*l - l**3 - 16*l - 72 + 5*l**3 + 25*l**2.
4*(l - 2)*(l + 3)**2
What is t in -2*t**2 - 533*t + 12 + 552*t - 2 = 0?
-1/2, 10
Let o = 120 - 103. Suppose -4*c + 3*c = 2*m - 7, 3*c - o = -2*m. Let 4/9*z**4 - 2/9*z**3 - 4/9*z**2 + 2/9*z**c + 0*z + 0 = 0. Calculate z.
-2, -1, 0, 1
Let g(n) = -1. Let o = -27 + 26. Let t(m) = -21*m**3 + 36*m**2 - 9*m - 2. Let y(f) = o*t(f) - 4*g(f). Solve y(h) = 0.
-2/7, 1
Let g(u) = 40*u**5 + 220*u**4 + 205*u**3 + 5*u + 5. Let r(p) = 23*p**5 + 110*p**4 + 102*p**3 + 3*p + 3. Let j(t) = 3*g(t) - 5*r(t). What is a in j(a) = 0?
-21, -1, 0
Let w(i) 