**10/151200 - h**9/60480 - 13*h**5/60 - 6*h**2. Let y(q) be the third derivative of k(q). Factor y(x).
x**3*(x - 1)
Let t be (-4)/5*(-2775)/2960. Find c such that -3*c**3 + 0 - 3/4*c**2 + t*c**4 + 3*c = 0.
-1, 0, 1, 4
Let j(q) be the first derivative of q**6/21 + 6*q**5/35 + q**4/7 - 5. Factor j(g).
2*g**3*(g + 1)*(g + 2)/7
Suppose -30*m**3 - 9*m + 21/2*m**4 + 57/2*m**2 + 0 = 0. What is m?
0, 6/7, 1
Let w(o) be the first derivative of -10 + 2/23*o**2 + 0*o - 2/69*o**3. Find t such that w(t) = 0.
0, 2
Let m(l) be the first derivative of 4*l**5/5 + 60*l**4 + 1200*l**3 + 27. Find b, given that m(b) = 0.
-30, 0
What is q in 4/9 + 2/9*q**3 + 8/9*q**2 + 10/9*q = 0?
-2, -1
Suppose 15*c - 16 = 5*m + 19*c, m - 2*c = 8. Solve d - 7/4*d**3 + m + 3*d**2 = 0 for d.
-2/7, 0, 2
Let j = -99 - -101. Let h be (j + (-93)/54)*8. Factor -2/9 - 10/9*x**4 + 20/9*x**3 - h*x**2 + 2/9*x**5 + 10/9*x.
2*(x - 1)**5/9
Let j = -44 + 45. Factor -3 - c**2 - j - 26*c + 30*c + 0.
-(c - 2)**2
Let t be 144/600*4/(-6)*-10. Let -8/5*p**2 - 22/5*p**3 + 4/5 + t*p**5 + 2*p + 8/5*p**4 = 0. What is p?
-2, -1/2, 1
Solve 22*g + 20 - 92 + 210*g + 70*g**2 = 0.
-18/5, 2/7
Let s(o) = -8*o**5 + 60*o**4 + 56*o**3 - 44*o**2 - 52*o. Let y(t) = -t**5 + 3*t**4 + t**2. Let x(p) = s(p) - 4*y(p). Let x(f) = 0. Calculate f.
-1, 0, 1, 13
Let l be -3*(-4)/(-18)*-3. Suppose g - l = -0*g. Determine p so that 0*p - 2/13*p**g + 0 + 2/13*p**3 = 0.
0, 1
Suppose 2*r + 5*x = 0, -4*r + 5*x - 9*x = 0. Let c(j) be the first derivative of 1/3*j**3 - 1/5*j**5 + 1/3*j**6 + 6 + r*j - 3/4*j**4 + 1/2*j**2. Factor c(m).
m*(m - 1)**2*(m + 1)*(2*m + 1)
Let g(x) = 13*x**3 + 15*x**2 + 5*x. Let n(t) = 11*t**3 + 13*t**2 + 6*t. Let p(z) = 6*g(z) - 7*n(z). Factor p(w).
w*(w - 4)*(w + 3)
Solve -2/5*n**3 - 18/5 - 14/5*n**2 - 6*n = 0.
-3, -1
Let g(c) = 17*c - 183. Let m be g(11). Let a(p) be the second derivative of 4*p - 1/18*p**m + 1/9*p**3 + 0 + 0*p**2. Factor a(d).
-2*d*(d - 1)/3
Let y(x) be the third derivative of -x**8/2520 - 4*x**7/525 - 11*x**6/900 + 35*x**2. Suppose y(z) = 0. What is z?
-11, -1, 0
Let x(w) = 57*w**2 + 319*w - 74. Let o(t) = 28*t**2 + 160*t - 36. Let i(h) = 9*o(h) - 4*x(h). Let i(n) = 0. Calculate n.
-7, 1/6
Let g(b) = 7*b**2 + 21*b + 45. Let l(q) = 10*q**2 + 31*q + 66. Let k(i) = -7*g(i) + 5*l(i). Factor k(s).
(s + 3)*(s + 5)
Let q(d) = -d**2 + 38*d + 60. Let x(t) = 3*t**2 - 116*t - 179. Let j(l) = 13*q(l) + 4*x(l). Suppose j(o) = 0. Calculate o.
-2, 32
Let r be 2 + 2 - 4 - -2. Solve -5*o**2 + o**2 + o**2 + o**r + 2*o**4 = 0 for o.
-1, 0, 1
Let k(d) = -35*d**2 + 95*d + 30. Let g(x) = 2*x**2 - x + 2. Let c(f) = -20*g(f) - k(f). Solve c(r) = 0 for r.
-14, -1
Find f such that 1/3*f**2 + 1600/3 + 80/3*f = 0.
-40
Let z(u) = 12*u. Let g be z(5). Suppose 3*a - g + 21 = 0. Suppose 18 + 36*m + 6*m**2 + 19 + 12*m**2 + 3*m**3 - a = 0. What is m?
-2
What is m in -90424352/5 + 4410944/5*m - 80688/5*m**2 - 2/5*m**4 + 656/5*m**3 = 0?
82
Let z(w) be the third derivative of -w**8/168 - 11*w**7/105 + 5*w**6/12 - 13*w**5/30 - 2*w**2 + 206. Factor z(g).
-2*g**2*(g - 1)**2*(g + 13)
Let l(q) = -6*q**4 - 25*q**3 - 95*q**2 - 55*q. Let t(o) = 2*o**4 + 13*o**3 + 47*o**2 + 27*o. Let p(w) = -3*l(w) - 7*t(w). Factor p(h).
4*h*(h - 6)*(h + 1)**2
Determine c, given that -200/3 - 14*c**2 + 2/3*c**3 + 80*c = 0.
1, 10
Let c(s) be the first derivative of 18/17*s**2 - 2/51*s**3 + 13 - 162/17*s. Factor c(y).
-2*(y - 9)**2/17
Suppose -1 = -a - 2*d, -9*a + 11*a - 3 = -3*d. Let h be 1/4 + 1/(-20). What is s in s - 1/5*s**a - 2/5 - 3/5*s**2 + h*s**4 = 0?
-2, 1
Let i = 132 - 132. Let s be ((-81)/(-12))/3 - i/(-2). Factor 3/4*y**5 + 3/4*y**4 - 15/4*y**2 - s*y**3 - 3/2*y + 0.
3*y*(y - 2)*(y + 1)**3/4
Determine i, given that -52*i - 7*i**3 + 43 + 10*i**3 + i**3 - 3 + 8*i**2 = 0.
-5, 1, 2
Let l = -19547/54 + 362. Let w(b) be the second derivative of 1/27*b**3 - 3*b + l*b**4 - 1/18*b**5 + 1/45*b**6 + 0 + 0*b**2. Let w(n) = 0. What is n?
-1/3, 0, 1
Let u = 140/11 - 656/55. Let x(p) be the second derivative of -4/5*p**3 + u*p**2 + 1/6*p**4 + 6*p + 0. Let x(o) = 0. Calculate o.
2/5, 2
Let -24/5 - 2/5*q**2 + 26/5*q = 0. What is q?
1, 12
Let u = 67373/4 - 16843. Factor u - 1/2*n + 1/2*n**3 + 0*n**2 - 1/4*n**4.
-(n - 1)**3*(n + 1)/4
Suppose -2*q - 62 = -3*k, 5*q + 18 = k + 3*q. Let j = k - 18. Factor -1/3*m**5 + 2/3*m**3 + 0 - 1/3*m + 0*m**j + 0*m**2.
-m*(m - 1)**2*(m + 1)**2/3
Suppose -6*f - 4*t = 3*t + 9, 3*f = 4*t + 63. Factor -33/2*d + 3 - f*d**2.
-3*(d + 2)*(6*d - 1)/2
Let l(r) = 3*r**3 - 6*r + 1. Let o be l(0). Factor o + 1/4*u**2 + u.
(u + 2)**2/4
Let -16/9*f**3 + 16/9*f + 14/9 - 4/3*f**2 - 2/9*f**4 = 0. Calculate f.
-7, -1, 1
Let i be 78*9/(-108) + 9*1. Factor -25/2*j**2 - 5/2*j**3 + 20*j**4 - 10*j**5 + 5/2*j + i.
-5*(j - 1)**3*(2*j + 1)**2/2
Let i(k) be the second derivative of 3*k + 17/30*k**3 + 0 - 3/5*k**2 + 1/25*k**5 - 1/4*k**4. Factor i(x).
(x - 2)*(x - 1)*(4*x - 3)/5
Let z(v) be the second derivative of -1/2*v**2 + 1/40*v**5 - 1/6*v**4 + 0 + 5/12*v**3 + 9*v. Factor z(m).
(m - 2)*(m - 1)**2/2
Suppose -8*t + 68 = 52. Let j be -4 - 17/(-8)*t. Determine q, given that 0*q - 1/4 + j*q**2 = 0.
-1, 1
Find n, given that -2*n + 2*n - 280*n**3 - 242*n**5 + 502*n**5 + 100*n**2 + 65*n**4 - 235*n**5 = 0.
-5, 0, 2/5, 2
Let s(l) be the third derivative of -l**6/280 - 9*l**5/70 + 5*l**4/7 + 394*l**2. Solve s(g) = 0.
-20, 0, 2
Let t(u) be the first derivative of -u**4/16 + 25*u**3/2 - 1875*u**2/2 + 31250*u - 97. Factor t(z).
-(z - 50)**3/4
Let c(a) be the first derivative of 4/9*a**3 - 1/3*a**5 + 4/3*a**2 + 0*a - 1/18*a**6 - 1/2*a**4 + 11. Factor c(n).
-n*(n - 1)*(n + 2)**3/3
Let q(z) = -2*z**3 + 2*z**2 - z - 1. Let b(g) = 5*g**3 - 415*g**2 - 10930*g - 98410. Let i(y) = b(y) + 5*q(y). Determine t, given that i(t) = 0.
-27
Factor 2/7*g**3 - 6/7*g**2 + 0*g + 8/7.
2*(g - 2)**2*(g + 1)/7
Let w(h) = h**3 - 23*h**2 + 103*h - 9. Let n(q) = -2*q**3 + 47*q**2 - 207*q + 21. Let o(d) = -3*n(d) - 7*w(d). Factor o(y).
-y*(y - 10)**2
Let j be 0/(6/18*(3 + 3)). Let i(v) be the first derivative of -2 + 4/9*v**3 + j*v + 0*v**2 - 1/6*v**4. Factor i(k).
-2*k**2*(k - 2)/3
Let t(x) be the first derivative of -2*x**3/3 + 20*x**2 + 138*x - 596. Factor t(w).
-2*(w - 23)*(w + 3)
Let t(v) be the third derivative of -v**6/600 - 3*v**5/100 - 13*v**4/60 - 4*v**3/5 + 5*v**2 - 3*v. Factor t(j).
-(j + 2)*(j + 3)*(j + 4)/5
Let f = -51 + 54. Let f*b**4 - 5*b**2 - 8*b + 14*b**2 + 3*b**3 + 9*b**3 - 12 - 4*b = 0. Calculate b.
-2, -1, 1
Let o be 128/(-10)*((-7899)/(-27) + -7). Let k = o + 3666. Let -k*z**4 + 8/9*z + 0 + 154/9*z**3 - 64/9*z**2 = 0. Calculate z.
0, 2/7, 1
Let d(j) be the second derivative of -j**6/6 - j**5/2 + 5*j**4 - 35*j**3/3 + 25*j**2/2 + 59*j. Suppose d(h) = 0. Calculate h.
-5, 1
Find v, given that -5/9 - 2/3*v - 1/9*v**2 = 0.
-5, -1
Let p(h) be the second derivative of -h**5/190 + 11*h**4/114 - 31*h**3/57 + 21*h**2/19 - 2*h - 121. Solve p(b) = 0.
1, 3, 7
Factor 0 - 1/2*z**4 - 5/2*z**3 + 1/2*z**2 + 5/2*z.
-z*(z - 1)*(z + 1)*(z + 5)/2
Let q(w) be the second derivative of w**9/756 + w**8/420 - w**7/210 - w**6/90 + 11*w**3/3 - 19*w. Let z(r) be the second derivative of q(r). Factor z(b).
4*b**2*(b - 1)*(b + 1)**2
Let k = 15010 + -30019/2. Factor 3/4 - 1/4*b**2 + k*b.
-(b - 3)*(b + 1)/4
Let v(h) be the second derivative of 6*h + 4/13*h**2 - 4/39*h**3 + 1/78*h**4 + 0. Factor v(w).
2*(w - 2)**2/13
Let h(y) = -48*y**5 + 64*y**4 + 28*y**3 - 66*y**2 + 20*y + 20. Let b(s) = s**5 - s**4 + s**3 - 2*s - 2. Let f(c) = 6*b(c) + h(c). Let f(q) = 0. Calculate q.
-1, -2/7, 2/3, 1
Suppose 5 = 3*m - 2*m. Factor -107 - m*o + 8*o**2 + 107 + o - 4*o**3.
-4*o*(o - 1)**2
Suppose 7 = -6*j + 3*t - 8, -3*t = 4*j - 35. Solve -2*g - 1 + 1/2*g**3 + 1/4*g**4 - 3/4*g**j = 0.
-2, -1, 2
Let 20/7*v**3 - 16/7*v + 0 + 0*v**2 - 4/7*v**5 + 0*v**4 = 0. Calculate v.
-2, -1, 0, 1, 2
Let i(l) = -l + 1. Suppose 3*j - 2*j + 2 = 0. Let o be i(j). Factor 22*g**2 - g**o + 12*g**2 - 34*g**2.
-g**3
Suppose 25 = 5*w, 0*h + 2*w = 3*h - 32. Determine u, given that 3*u**3 - u**3 - u**2 + 13*u**4 - h*u**4 = 0.
0, 1
Solve -2*k**3 + 1003*k**4 - 2013*k**4 - k**2 + 1009*k**4 = 0 for k.
-1, 0
Let h(z) be the second derivative of -z**5/100 - z**4/30 + 4*z**3/15 - 20*z - 3. Solve h(p) = 0 for p.
-4, 0, 2
Let z be -4 + 33/15 - (-1 + -1).