(5*t + 2)
Let i(j) = j**2 - j - 1. Let c(l) be the first derivative of -17*l**3/3 - 7*l**2/2 + 8*l + 4. Let o(p) = c(p) + 2*i(p). Factor o(m).
-3*(m + 1)*(5*m - 2)
Let f be -3 + -15*(-30)/125. Factor f*a + 0 + 12/5*a**2.
3*a*(4*a + 1)/5
Let r(n) be the third derivative of -n**9/181440 - n**8/30240 - n**7/15120 + n**5/60 - n**2. Let y(g) be the third derivative of r(g). Factor y(c).
-c*(c + 1)**2/3
Let m be (-4)/36 + 2/18. Let m + 3/4*x**4 - 1/4*x**5 - 3/4*x**2 - 1/4*x**3 + 1/2*x = 0. What is x?
-1, 0, 1, 2
Suppose 5*i - c + 35 = 0, -3*i + 4*c - 50 = 2*i. Let o be 4/(-2) - (2 + i). Let 0 - 2/7*y**o + 2/7*y = 0. Calculate y.
0, 1
Let t = -1 - -6. Let r(g) be the third derivative of 1/3*g**3 + 0*g + 1/8*g**4 + 0 - 3*g**2 + 1/60*g**t. Factor r(f).
(f + 1)*(f + 2)
Let x(b) be the third derivative of 0*b**3 + 0*b**4 + 1/35*b**7 + 4*b**2 - 2/15*b**5 + 0 + 1/168*b**8 + 0*b + 0*b**6. Let x(o) = 0. Calculate o.
-2, 0, 1
Suppose -f - 4*t = -2, -4*f + 6 = 3*t - 2. Factor 0*j + 4*j + 11*j**2 - 5*j**f.
2*j*(3*j + 2)
Let w(l) = 11*l**2 - 43*l + 101. Let v(q) = -5*q**2 + 22*q - 50. Let m(o) = -5*v(o) - 2*w(o). Factor m(k).
3*(k - 4)**2
Let x(u) be the third derivative of u**5/90 - 5*u**4/36 + 2*u**3/3 - 4*u**2 - 9*u. Solve x(o) = 0.
2, 3
Suppose 0*t + 4*s - 16 = 3*t, -t + s = 4. Let y(q) be the second derivative of 2*q + 1/4*q**5 - 4*q**2 + 2*q**3 + 3/2*q**4 + t. Factor y(v).
(v + 2)**2*(5*v - 2)
Let s = 6 - 6. Suppose s = 7*n - 11*n. Factor -3*g**2 + 0 + 3*g**4 - 2*g**4 - 2*g + n.
g*(g - 2)*(g + 1)**2
Suppose s = -x + 1, -3*s + 1 = 2*x + 2. Determine b so that x*b**2 - 3*b + 3*b + 3*b - 2*b**3 - 5*b = 0.
0, 1
Let j(n) = -2*n**3 - n**2 + 1. Let k be j(-1). Determine u, given that 2*u + u**2 - 4*u**3 + 0*u**2 - 8*u**k = 0.
-2, 0, 1/4
Suppose 0 = 5*p + 21 - 51. Let y = -6 + p. Solve -2/11*s**4 + y*s**3 + 0 + 0*s + 2/11*s**2 = 0 for s.
-1, 0, 1
Let n = 6529 + -45621/7. Determine s so that -30/7*s**4 + 8/7*s - 48/7*s**2 + n*s**3 + 0 = 0.
0, 1/3, 2/5, 2
Suppose 7*m = 4*m + 4*o + 11, 5*m = 5*o + 15. Suppose m = g - 1. Factor 2/7*t + 0 + 2/7*t**g.
2*t*(t + 1)/7
Let b(n) be the third derivative of n**8/84 + n**7/15 + 3*n**6/20 + n**5/6 + n**4/12 - 19*n**2. Factor b(h).
2*h*(h + 1)**3*(2*h + 1)
Let c = 14 + -9. Factor 5*g - c*g + 2*g + g**2.
g*(g + 2)
Let c(j) = -3*j**5 - 6*j**3 - 6*j + 6. Let h(z) = -3*z**5 + z**4 - 5*z**3 - 5*z + 5. Let f(v) = -5*c(v) + 6*h(v). Factor f(w).
-3*w**4*(w - 2)
Let j(v) be the first derivative of -1/15*v**3 + 0*v + 1/20*v**4 + 3 - 1/5*v**2. Find p, given that j(p) = 0.
-1, 0, 2
Let o = -29/2 - -103/6. Factor o*l**2 + 0 + 2/3*l**3 + 2*l.
2*l*(l + 1)*(l + 3)/3
Let g(k) = 5*k**4 - 5*k**3 + 10*k**2 - 7*k + 3. Let d(m) = -4*m**4 + 6*m**3 - 10*m**2 + 6*m - 2. Let w(p) = -3*d(p) - 2*g(p). What is y in w(y) = 0?
0, 1, 2
Let j(y) be the first derivative of 1 + 1/2*y**5 + 1/6*y**3 + 0*y - 1/6*y**6 - 1/2*y**4 + 0*y**2. Determine x, given that j(x) = 0.
0, 1/2, 1
Let z be 79/(-11) + 6/33. Let n be (-8 - z)/(5/(-2)). Factor -6/5*c - 2/5 - 6/5*c**2 - n*c**3.
-2*(c + 1)**3/5
What is d in -8/7*d**3 + 8/7*d + 0 - 12/7*d**2 = 0?
-2, 0, 1/2
Let o be (9/2)/((-3)/(-4)). Let s be ((-27)/o)/((-3)/4). Factor s*d + d**4 - 10*d**2 + 2 - 6*d**3 + 6*d**4 + d**4 + 0*d**4.
2*(d - 1)**2*(d + 1)*(4*d + 1)
Let a(x) be the second derivative of -x**6/90 + x**4/36 + 8*x. Factor a(u).
-u**2*(u - 1)*(u + 1)/3
Let f(n) be the third derivative of -n**5/300 - n**4/24 - 2*n**3/15 - n**2 + 9. Factor f(u).
-(u + 1)*(u + 4)/5
Let b = 48 + -45. Let y(x) be the first derivative of -1/3*x**b + x**2 - x - 1. Suppose y(k) = 0. Calculate k.
1
Let r(d) = -d**2 - 3*d + 4. Let c be r(-4). Let b(y) be the second derivative of -1/12*y**3 - 1/12*y**4 + 1/40*y**5 + c + 2*y + 1/2*y**2. Factor b(f).
(f - 2)*(f - 1)*(f + 1)/2
Let z(n) be the first derivative of -5*n**4 - 52*n**3/3 + 52*n**2 - 32*n + 3. Factor z(s).
-4*(s - 1)*(s + 4)*(5*s - 2)
Let r(x) be the second derivative of 1/48*x**4 + 1/12*x**3 + 8*x + 1/8*x**2 + 0. Factor r(l).
(l + 1)**2/4
Let b = -3 - -10. Determine a so that 2 - 7*a**3 + a**4 + 11*a**2 - b*a + 2*a**3 - 2*a**2 = 0.
1, 2
Let l(q) be the first derivative of -4*q**3/3 - 2*q**2 + 8*q - 31. What is p in l(p) = 0?
-2, 1
Let c be -3 - -3 - ((-12)/80)/3. Let d(i) be the second derivative of -c*i**5 + 0*i**4 + 0*i**2 + 0 + 0*i**3 + 4*i - 1/60*i**6. Factor d(r).
-r**3*(r + 2)/2
Let s(q) be the third derivative of q**4 - 4*q**2 + 1/15*q**5 + 0 + 0*q + 6*q**3. Let s(o) = 0. Calculate o.
-3
Let p(u) = 0 + 2*u + 5*u**2 - 3*u + 0. Let t be p(-1). What is n in -t*n + 4 + 0 - 5*n**2 - 5*n**2 = 0?
-1, 2/5
Let d = 552/11 - 50. Factor -d*q**2 + 0*q + 2/11.
-2*(q - 1)*(q + 1)/11
Let d = 121 - 121. Determine o, given that -2/3*o**2 + 0*o**3 + 1/3*o**5 + 2/3*o**4 - 1/3*o + d = 0.
-1, 0, 1
Let d(q) be the second derivative of -q**9/22680 + q**8/5040 - q**7/3780 - q**4/12 + q. Let a(p) be the third derivative of d(p). Factor a(g).
-2*g**2*(g - 1)**2/3
Let x = 414 + -4963/12. Let y(p) be the second derivative of -1/2*p**2 + x*p**3 + 0 + p + 7/24*p**4. Find o, given that y(o) = 0.
-1, 2/7
Suppose -u = -0*u - 4. Factor c**4 + 2*c**4 - 3*c**4 + c**u.
c**4
Let u(t) be the first derivative of 9*t**5/80 - 11*t**4/16 + 5*t**3/3 - 2*t**2 - 7*t + 4. Let i(k) be the first derivative of u(k). Let i(c) = 0. Calculate c.
1, 4/3
Let a = -16 + 26. Let y be (-6)/(9/(-12)*a). Find z such that -2/5*z**3 + 0 + y*z**2 - 2/5*z = 0.
0, 1
Factor 0*z - 4/7*z**3 - 2/7*z**4 - 2/7*z**2 + 0.
-2*z**2*(z + 1)**2/7
Let c(s) be the third derivative of s**5/20 - s**3/2 + 6*s**2. Determine z so that c(z) = 0.
-1, 1
Let i = -629/3 - -210. Determine r so that -1/3 - r**2 + 7/6*r + i*r**4 - 1/6*r**3 = 0.
-2, 1/2, 1
Let r(g) = -9*g**3 + 25*g**2 - 31*g + 17. Let u(y) = y**4 + y**3 - y**2 - y - 1. Let p(v) = 3*r(v) + 3*u(v). What is h in p(h) = 0?
2
Let x(o) be the third derivative of -o**6/60 + 11*o**5/30 + o**4/12 - 11*o**3/3 + 14*o**2 - 2*o. Factor x(j).
-2*(j - 11)*(j - 1)*(j + 1)
Let u(m) = -21*m**3 - 5*m**2 + 13*m + 13. Let g(r) = 10*r**3 + 2*r**2 - 6*r - 6. Let z(t) = -13*g(t) - 6*u(t). Factor z(a).
-4*a**2*(a - 1)
Let d(g) be the third derivative of 0*g + 7*g**2 + 1/330*g**5 + 1/33*g**3 + 0 - 1/66*g**4. Solve d(b) = 0.
1
Let o(r) be the third derivative of -r**8/1344 - r**7/280 - r**6/240 - 3*r**2. Determine q, given that o(q) = 0.
-2, -1, 0
Suppose 0 = 3*s - 4*x - 12, -5*s + 0*x = -x - 3. Let s*j**2 - j**2 + 4*j**2 - 2*j**2 = 0. What is j?
0
Let k(v) = 5*v**2 - 8*v + 12. Let g(n) = -n**2. Let j(z) = 6*g(z) + k(z). Let y be j(-9). Factor 3 + f - 6 - 2*f + f**2 + 2 + f**y.
(f - 1)*(f + 1)**2
Let c(g) be the first derivative of g**4 + 8*g**3/3 - 6. Factor c(m).
4*m**2*(m + 2)
Let z(v) be the third derivative of -v**6/80 - v**5/20 - v**4/16 - 17*v**2. Factor z(b).
-3*b*(b + 1)**2/2
Let k(y) = 2*y**4 - 2*y**3 - 2*y**2 - 4*y + 3. Let h(o) = 5*o**4 - o - o**3 - 2 - o**2 - 4*o**4 + 3. Let v(x) = -6*h(x) + 2*k(x). Factor v(b).
-2*b*(b - 1)**2*(b + 1)
Find c such that -59*c**2 + 36*c**3 - 2*c**4 - 31*c**2 - 72*c**2 = 0.
0, 9
Let 2/25*k**3 + 8/5*k + 16/25*k**2 + 32/25 = 0. What is k?
-4, -2
Let z(w) be the second derivative of 0*w**5 - w - 2/15*w**6 + 0 - 1/21*w**7 + 1/3*w**3 + 0*w**2 + 1/3*w**4. Factor z(t).
-2*t*(t - 1)*(t + 1)**3
Let j = 16/2203 - 1046489/8812. Let b = -118 - j. Factor 27/4 + b*a**2 + 9/2*a.
3*(a + 3)**2/4
Let l be 3124/121 - (-4)/22. Suppose -3*j + l = 4*n, 2*n - 8 = -0*j + j. Determine b so that b**3 + 1/2*b**j + 0 + 1/2*b**4 + 0*b = 0.
-1, 0
Let z = 29 - 27. Suppose 0*a + 10 = 2*a. Factor -3*u**4 + 0*u**2 + a*u**2 - 2*u**z - 3*u**3 + 3*u.
-3*u*(u - 1)*(u + 1)**2
Let w be (-3)/(-9)*((-63)/6)/(-7). Factor -3*y**2 + 0 - 9/2*y**3 - w*y - 2*y**4.
-y*(y + 1)**2*(4*y + 1)/2
Let z be (284 - 1)*80/180. Let f = 126 - z. What is d in 2/3*d**3 + 4/9*d**2 + 0 - f*d = 0?
-1, 0, 1/3
Let l(m) = m - 1. Let c be l(3). Let 2 - 9 - 4*i**3 - 1 + 6*i**c + 6*i**3 = 0. What is i?
-2, 1
Let t(k) be the first derivative of -k**7/945 - k**6/540 + 2*k**2 + 3. Let w(o) be the second derivative of t(o). Suppose w(f) = 0. Calculate f.
-1, 0
Let a(u) = -u**5 - u**3 - u**2 - 1. Let w(j) = j**4 + j**3 + j**2 + 1. Let s(c) = -a(c) - w(c). Factor s(h).
h**4*(h - 1)
Factor -r + 1/2*r**2 + 0.
r*(r - 2)/2
Let w = -1 - -1. Let m(t) = -t**3 - 4*t**2 