0. Factor -380 + 10*w**o + 380 + 5*w**3 + 5*w.
5*w*(w + 1)**2
Let l = -831 - -835. Let a(m) be the second derivative of 1/120*m**6 + 0*m**2 - 1/40*m**5 + 0 - 9*m - 1/48*m**l + 1/12*m**3. Factor a(o).
o*(o - 2)*(o - 1)*(o + 1)/4
Let h(g) be the second derivative of g**8/1344 + g**7/280 - g**5/60 + 2*g**2 - 3*g. Let l(f) be the first derivative of h(f). Suppose l(s) = 0. Calculate s.
-2, 0, 1
Suppose 0 = 4*a - 4*y - 20, -2*a + a = -2*y - 8. Suppose a - 4 = -q. Factor 4/3*b**q + 2/3*b**5 - 4/3*b**4 + 0*b**3 + 0 - 2/3*b.
2*b*(b - 1)**3*(b + 1)/3
Let j be (-297)/186 - (-24)/8. Let z = j + 3/31. Factor -3/2*w**3 + 0 + 0*w**2 + z*w.
-3*w*(w - 1)*(w + 1)/2
Let k = -17/18 - -1381/90. Factor -8/5 - k*o - 162/5*o**2.
-2*(9*o + 2)**2/5
Let n(r) be the first derivative of r**7/1680 - r**6/960 - r**5/480 + r**4/192 - 4*r**2 - 4. Let x(l) be the second derivative of n(l). What is s in x(s) = 0?
-1, 0, 1
Let i(f) be the second derivative of f**4/72 - f**3/9 - 5*f**2/12 + 266*f. Determine a, given that i(a) = 0.
-1, 5
Let d(m) be the third derivative of m**5/480 + m**4/64 + m**3/24 + 8*m**2 - 35. Factor d(a).
(a + 1)*(a + 2)/8
Let n = 242 + -242. Let p(q) be the first derivative of n*q**4 + 7 + 0*q**2 - 1/5*q - 1/25*q**5 + 2/15*q**3. What is r in p(r) = 0?
-1, 1
Let g(w) be the third derivative of 3*w**2 - 2/105*w**7 + 1/5*w**5 + 0*w - 1/3*w**3 + 0 - 1/120*w**6 - 5/24*w**4. Solve g(x) = 0.
-2, -1/4, 1
Let f(x) be the second derivative of x**9/560 + 9*x**8/1120 - x**7/840 - x**6/120 + 5*x**4/2 + 27*x. Let a(b) be the third derivative of f(b). Solve a(v) = 0.
-2, -1/3, 0, 1/3
Let f = 949/5718 + 2/2859. Let i(h) be the second derivative of -1/30*h**5 + 0 - 1/90*h**6 + 10*h + f*h**2 + 1/9*h**3 + 0*h**4. Factor i(k).
-(k - 1)*(k + 1)**3/3
Let y(l) be the second derivative of -l**5/20 - l**4/2 - 2*l**3 + 13*l**2/2 + 4*l. Let z(h) be the first derivative of y(h). Factor z(d).
-3*(d + 2)**2
Let u(s) = s**2 - s - 9. Let r be u(-3). Let y(p) be the third derivative of -1/3*p**r + 0*p - 1/9*p**4 + 0 - 1/90*p**5 + 3*p**2. Factor y(w).
-2*(w + 1)*(w + 3)/3
Let p = 36/2447 + 513258/41599. Factor 96/17*w**2 - p*w - 10/17*w**3 - 100/17.
-2*(w - 5)**2*(5*w + 2)/17
Factor 306 - 4*q - 6*q**2 - 155 + 8*q**3 - 4*q**5 - 2*q**2 - 147 + 4*q**4.
-4*(q - 1)**3*(q + 1)**2
Let d(w) = -53*w - 2. Let r be d(1). Let h = r + 55. Determine o, given that 2/15*o**2 - 2/15*o**5 + 0*o + 2/5*o**4 + h - 2/5*o**3 = 0.
0, 1
Let y be (-30)/4*-8*(-20)/(-24). Solve -2*c**2 + 4*c - y + 0*c + 4*c + 12*c = 0 for c.
5
Let o(h) be the first derivative of 0*h**3 - 2/15*h**5 - 1/2*h**4 + 22 + 0*h + 0*h**2. Factor o(n).
-2*n**3*(n + 3)/3
Let x(u) be the first derivative of u**4/24 + 5*u**3 + 225*u**2 + 4500*u - 73. Factor x(n).
(n + 30)**3/6
Let h(k) = -2*k**3 + k**2 - 14*k. Let j(p) = -p**3 + p**2 - 6*p. Let v(q) = -2*h(q) + 5*j(q). Find u such that v(u) = 0.
0, 1, 2
Let s(l) be the first derivative of 16*l**5/5 + 6*l**4 + l**3/3 - 3*l**2 + l + 54. Factor s(n).
(n + 1)**2*(4*n - 1)**2
Suppose -36 = -5*b - 6. Factor -4*h**2 - b*h - 7 - 1 - 6*h + 0.
-4*(h + 1)*(h + 2)
Let b(o) be the first derivative of 19*o**4/3 + 8*o**3/9 - 1. Factor b(u).
4*u**2*(19*u + 2)/3
Let j(g) be the third derivative of g**5/420 - 11*g**4/42 + 43*g**3/42 - 385*g**2. Suppose j(t) = 0. What is t?
1, 43
Let n(j) be the second derivative of j**7/3780 + j**6/720 + j**5/360 + j**4/6 - 10*j. Let d(m) be the third derivative of n(m). Factor d(g).
(g + 1)*(2*g + 1)/3
Let v(t) be the first derivative of 3*t**4/4 + t**3 - 24*t**2 - 48*t + 87. Find g, given that v(g) = 0.
-4, -1, 4
Suppose -2*t = 4*u - 1 - 11, 5*t - 20 = -5*u. Factor 2*j**4 - 5*j + 22*j**2 - 14*j**3 - j + u*j - 6*j.
2*j*(j - 5)*(j - 1)**2
Let 2/11*q**5 - 12/11*q**3 + 0 + 2/11*q**4 - 8/11*q**2 + 16/11*q = 0. Calculate q.
-2, 0, 1, 2
Let s(p) be the second derivative of -p**6/195 - 3*p**5/130 + 4*p**4/39 + 4*p**3/13 - 16*p**2/13 + 6*p - 6. Let s(j) = 0. Calculate j.
-4, -2, 1, 2
Determine n, given that 45/7*n**3 - 45/7*n + 11/7*n**2 + n**4 - 18/7 = 0.
-6, -1, -3/7, 1
Let 0 - 5/3*g**2 - 9*g = 0. What is g?
-27/5, 0
Factor 42/11*s - 40/11 - 2/11*s**2.
-2*(s - 20)*(s - 1)/11
Let h = -48 - -52. Factor 14*v - 4*v**4 + 8*v**2 - 8*v**4 + h + 3*v**5 - 2*v - 7*v**5 - 8*v**3.
-4*(v - 1)*(v + 1)**4
Let s(q) be the first derivative of -117*q**4 + 202*q**3 - 92*q**2 - 8*q + 387. Factor s(v).
-2*(3*v - 2)**2*(26*v + 1)
Let v(d) be the first derivative of -d**6/18 + 7*d**5/15 - 3*d**4/4 - 7*d**3/9 + 5*d**2/3 - 313. Find c such that v(c) = 0.
-1, 0, 1, 2, 5
What is y in 87*y**2 - 22*y**2 - 16*y**2 - 14*y**2 - y**4 + 2*y**3 - 20*y**2 = 0?
-3, 0, 5
Let g(v) be the second derivative of v**5/15 + v**4 + 10*v**3/3 - 5*v**2 + 10*v. Let q(t) be the first derivative of g(t). Solve q(s) = 0 for s.
-5, -1
Let d(v) be the second derivative of -4/9*v**3 - 2/3*v**2 - 1/60*v**5 + 0 - 12*v - 5/36*v**4. What is w in d(w) = 0?
-2, -1
Let r(f) be the second derivative of f**8/33600 + f**7/3150 + f**6/1200 - 8*f**4/3 - 32*f. Let k(c) be the third derivative of r(c). Factor k(h).
h*(h + 1)*(h + 3)/5
Let b(o) be the first derivative of o**4/2 + 4*o**3 + 11*o**2 + 12*o - 803. Solve b(g) = 0.
-3, -2, -1
Suppose 6 - 18/5*d**2 + 3/5*d**3 + 9/5*d = 0. What is d?
-1, 2, 5
Let o(j) be the first derivative of j**6/3 - 18*j**5/5 + 23*j**4/2 - 10*j**3 - 251. Factor o(t).
2*t**2*(t - 5)*(t - 3)*(t - 1)
Let g be (-75)/3*-1 - -2. Suppose -2*z - z = -g. Factor 2*x + z*x**3 - 2*x - 6*x**2 - 4*x**4 + x.
-x*(x - 1)**2*(4*x - 1)
Let k(n) = -13*n**4 + 11*n**3 + 23*n**2 - 9*n + 3. Let z(p) = -12*p**4 + 12*p**3 + 23*p**2 - 10*p + 7. Let y(u) = -4*k(u) + 3*z(u). Let y(b) = 0. What is b?
-3/4, 1
Factor -34 + 25 + 8*a - 44*a + 3*a**3 - 25 + 27*a**2 - 26.
3*(a - 2)*(a + 1)*(a + 10)
Let z(t) be the first derivative of -t**4/22 + 8*t**3/11 + 43*t**2/11 + 60*t/11 - 605. Factor z(s).
-2*(s - 15)*(s + 1)*(s + 2)/11
Factor -35/4*u + 1/4*u**3 - 9/2 - 4*u**2.
(u - 18)*(u + 1)**2/4
Let g be ((240/25)/6)/(53/5 - 7). Determine n, given that 0 + 2/3*n**3 - g*n - 10/9*n**2 = 0.
-1/3, 0, 2
Let z be 46/299 + (-4)/(-52)*-2. Factor 0*d**2 - 1/7*d**3 + 0*d + z.
-d**3/7
Let o = 511 + -511. Let f(w) be the third derivative of 0 + o*w - 1/40*w**5 + 1/420*w**7 - 6*w**2 - 1/120*w**6 + 1/3*w**3 + 1/12*w**4. Factor f(m).
(m - 2)**2*(m + 1)**2/2
Let u be 1206/335 - 6/15. Solve -4/5*t**2 + 2/5*t**4 - u - 24/5*t + 6/5*t**3 = 0.
-2, -1, 2
Solve -159*p**3 - 52*p**2 + 123*p**3 + 4 - 44*p**2 - 64*p - 4*p**4 - 4 = 0.
-4, -1, 0
What is v in 14 + 3*v**3 - 92*v + 37 - 28*v + 93*v**2 - 75*v + 48 = 0?
-33, 1
Let o(t) = -t**3 + 9*t**2 - 4. Let v be o(9). Let p = v + 6. Factor 5 - 2 + 2*z**2 + 2*z**p + 2*z**2 - 9*z.
3*(z - 1)*(2*z - 1)
Let c(o) be the second derivative of -o**6/45 + o**5/30 + 17*o**4/18 - 7*o**3/3 - 12*o**2 + 29*o. Solve c(q) = 0.
-4, -1, 3
Let u(a) be the third derivative of -a**8/3024 - a**7/378 + 5*a**6/108 + a**5/6 - 35*a**4/8 + 49*a**3/2 + 2*a**2 + 405. Factor u(f).
-(f - 3)**3*(f + 7)**2/9
Let t(i) be the first derivative of -i**4/3 - 4*i**3/3 + 8*i**2/3 + 157. Let t(w) = 0. What is w?
-4, 0, 1
Let -12/5*y**5 + 63/5*y**4 - 9*y + 6/5 - 123/5*y**3 + 111/5*y**2 = 0. What is y?
1/4, 1, 2
Let g(j) = -j + 7. Let u be g(-4). Suppose u*m = -m + 48. Suppose -4/7 - 4/7*b**2 - 10/7*b + 8/7*b**3 + 2/7*b**5 + 8/7*b**m = 0. What is b?
-2, -1, 1
Let s(n) be the third derivative of n**8/504 + n**7/105 - n**6/180 - 7*n**5/90 + 4*n**3/9 - 143*n**2. Determine z, given that s(z) = 0.
-2, -1, 1
Factor -6*y**3 + 64 - 2*y**2 + 35*y + 9*y**2 - 70.
-(y - 3)*(y + 2)*(6*y - 1)
Let j(x) = 4*x**2 + 4*x + 2. Let z(g) = 5*g**2 + 5*g + 3. Let r(t) = 3*j(t) - 2*z(t). Factor r(l).
2*l*(l + 1)
Let o(w) be the first derivative of 1/3*w**2 - 13 + 2/9*w**3 - 4/3*w. Factor o(g).
2*(g - 1)*(g + 2)/3
Let a(y) = -9*y**2 - 3*y + 14. Let h(g) = -49*g**2 - 14*g + 70. Let v(o) = -11*a(o) + 2*h(o). Suppose v(n) = 0. What is n?
-7, 2
Let t(z) be the third derivative of 0*z**5 + 0*z**3 - 1/70*z**7 - 1/2*z**4 + 0 + 0*z + 38*z**2 + 3/40*z**6. Factor t(v).
-3*v*(v - 2)**2*(v + 1)
Let r(g) = -6*g**2 - 65*g - 73. Let h(s) = 4*s**2 + 43*s + 49. Let c(x) = -7*h(x) - 5*r(x). Factor c(o).
2*(o + 1)*(o + 11)
Let f(u) be the first derivative of u**3 + 159*u**2 + 8427*u - 127. Solve f(c) = 0.
-53
Let p(h) be the th