**5/20 + 10*a**2. Let f(v) be the third derivative of b(v). Factor f(q).
2*q**2*(q - 1)**2*(q + 2)/15
Suppose 36*j = 37*j - 11. Let q = -51/5 + j. Factor 0 + 8/5*t**3 + 2/5*t**4 + 2*t**2 + q*t.
2*t*(t + 1)**2*(t + 2)/5
Factor 80/3*n - 24 - 26/3*n**2 + 2/3*n**3.
2*(n - 9)*(n - 2)**2/3
Suppose 4 = -17*x + 19*x. Let k(u) be the first derivative of -7 + 0*u**x - 1/4*u + 1/12*u**3. Determine w, given that k(w) = 0.
-1, 1
Suppose -627 - 753 = 4*m. Let n = m - -1731/5. Let 2*s**4 - 4/5*s**2 + 0 + 0*s - n*s**3 = 0. Calculate s.
-2/5, 0, 1
Let k = -79/3 + 27. Let b = -557 - -559. Solve -8/9*x - 2/9*x**b - k = 0 for x.
-3, -1
Let o(k) be the second derivative of -k**4/6 - 16*k**3/3 - 266*k. Find i, given that o(i) = 0.
-16, 0
Suppose -10 = t - 3*t. Suppose 4*h + 4*o - 11 = 3*o, -t*o = -5*h + 20. Suppose 1 - 2 + 1 - 6*v - h*v**2 = 0. Calculate v.
-2, 0
Factor -2 - 11*m**2 + 1/4*m**5 - 31/4*m - m**4 - 13/2*m**3.
(m - 8)*(m + 1)**4/4
Suppose -v - 73 = -m, 0 = -4*m - v - 189 + 466. Suppose u = m + 47. Factor -99*l**3 - 21*l + 21*l**4 + 4 - 11 - 11 + u*l**2.
3*(l - 3)*(l - 1)**2*(7*l + 2)
Factor 66*g**2 - 145*g**2 + 74*g**2 - 57*g + 220 + 22*g.
-5*(g - 4)*(g + 11)
Let l(q) be the first derivative of 3*q**4/4 - 5*q**3 - 72*q**2 + 756*q + 53. Factor l(o).
3*(o - 6)**2*(o + 7)
Let g(o) be the second derivative of o**7/280 - o**6/80 - 3*o**5/80 - 10*o**2 - 4*o. Let h(j) be the first derivative of g(j). Factor h(l).
3*l**2*(l - 3)*(l + 1)/4
What is i in -26*i**4 + 32*i**2 - 1 + 197*i + 6*i**3 - 5 + 197*i + 7*i**5 - 407*i = 0?
-1, -2/7, 1, 3
Let y(s) be the third derivative of 1/150*s**6 + 18/5*s**3 + 0 + 15*s**2 + 3/25*s**5 + 9/10*s**4 + 0*s. Factor y(u).
4*(u + 3)**3/5
Suppose 5 = r + 3. Let d = -47 + 47. Suppose -2/3*z + 2/3*z**r + d = 0. What is z?
0, 1
Let o(k) be the third derivative of k**5/15 + 63*k**4 + 23814*k**3 + 150*k**2. Factor o(n).
4*(n + 189)**2
Let f(d) = -d + 12. Let x be f(5). Suppose x*a - 19 = 9. Let -4 + 8 - z - a*z**2 - 7*z + 8 = 0. What is z?
-3, 1
Factor 72*l - 124 - 2*l**4 + 316 + 34*l**2 - 152.
-2*(l - 5)*(l + 1)*(l + 2)**2
Let u(n) = -10*n + 2. Let h be u(-2). Suppose 4 = -6*v + h. Suppose -25*c**2 + 7*c - 5*c**4 + v*c + 6*c**3 + 14*c**3 = 0. Calculate c.
0, 1, 2
Let u(o) be the third derivative of -2*o**7/105 - o**6/10 + o**5/15 + o**4/2 + 2*o**2 - 8. Suppose u(w) = 0. What is w?
-3, -1, 0, 1
Suppose 0*k**2 + 3*k**2 - 3766 + 22489 - 474*k = 0. What is k?
79
Factor 6*m - 2/3*m**2 - 40/3.
-2*(m - 5)*(m - 4)/3
Factor 5584849 - 245388*i - i**3 + 17808807 + 601*i**2 + 257*i**2.
-(i - 286)**3
Let z(s) be the third derivative of s**8/312 - 16*s**7/1365 - 17*s**6/780 + 17*s**5/195 + 5*s**4/39 - 8*s**3/39 + 3*s**2 - 21*s. Solve z(o) = 0.
-1, 2/7, 2
Factor 2/3*d**3 + 14/3*d**2 + 0 + 4*d.
2*d*(d + 1)*(d + 6)/3
Let m be ((-105)/(-24))/(22 - 1909/92). Factor 8*x**4 - 11/2*x - 7*x**2 + 2*x**3 + m*x**5 - 1.
(x - 1)*(x + 1)**3*(7*x + 2)/2
Let p(r) = 555*r - 3328. Let h be p(6). Factor 196/5*g**3 + 12*g + 252/5*g**h + 4/5.
4*(g + 1)*(7*g + 1)**2/5
Let y(c) = 8*c**2 - 36*c + 68. Let k(v) = v**2 - 4*v + 7. Let g(n) = 28*k(n) - 3*y(n). Suppose g(p) = 0. What is p?
-1, 2
Let j be (-12)/(-14) - 1173/1932. Let b(q) be the first derivative of 0*q + 9/2*q**2 - 2*q**3 + j*q**4 + 2. Suppose b(a) = 0. What is a?
0, 3
Factor -92*g**2 + 56/3*g**3 - 400/3 - 4/3*g**4 + 560/3*g.
-4*(g - 5)**2*(g - 2)**2/3
Determine q, given that 55/2*q**2 + 25/6*q**3 - 35/3*q + 0 = 0.
-7, 0, 2/5
Let a be 235/(-94)*((-45)/(-21) - 3). Factor -2/7 - 13/7*g**2 + a*g.
-(g - 1)*(13*g - 2)/7
Suppose 3*n = -2*j + 12, -4*n = -262*j + 263*j - 6. Factor 4/9*w**2 + 0 - 2*w**3 + 14/9*w**4 + n*w.
2*w**2*(w - 1)*(7*w - 2)/9
Let h = -7153 + 7156. Determine i so that 0 + 12/5*i**h + 8/5*i**4 + 8/5*i**2 + 2/5*i**5 + 2/5*i = 0.
-1, 0
Suppose 0 = 2*s + r - 16, s - 4*r = -0*r - 1. Factor -s*d**2 + 13*d**2 + 2*d - 10*d**2.
-2*d*(2*d - 1)
Factor -118*b**2 + 14*b**3 + 42*b**2 + 21*b**3 - 80*b**5 - 169*b**2 + 200*b**4.
-5*b**2*(b + 1)*(4*b - 7)**2
Let a(f) be the third derivative of -f**6/90 + f**5/15 - f**4/6 + 2*f**3/9 - 601*f**2. Factor a(c).
-4*(c - 1)**3/3
Suppose 13*x = -10 + 75. Let b(p) be the first derivative of -2/5*p**x + p**2 + 4/3*p**3 + 2 + 1/3*p**6 - p**4 - 2*p. Factor b(l).
2*(l - 1)**3*(l + 1)**2
Suppose l + 36 = -5*g, -2*l + 27 = -3*g - 5. Let a be -4 - ((-16)/48 + g/2). Factor 0 + a*p - 2/3*p**2 + 1/3*p**3.
p*(p - 1)**2/3
Let w(x) = -x**3 + 16*x**2 - 5*x - 4. Let m(g) = 2*g**3 - 47*g**2 + 15*g + 13. Suppose -6*y + 4 = -32. Let c(s) = y*m(s) + 17*w(s). Factor c(t).
-5*(t - 1)*(t + 1)*(t + 2)
Let j(n) be the first derivative of n**6/6 + 3*n**5 + 13*n**4/2 - 2*n**3/3 - 27*n**2/2 - 13*n + 41. Factor j(v).
(v - 1)*(v + 1)**3*(v + 13)
Let i = 71267/15 + -4751. Solve -2/15*g**3 + i*g + 2/15*g**2 - 2/15 = 0 for g.
-1, 1
Factor -112*v**3 - 89*v**3 - 3459*v**2 + 5394 - 2871*v - 3*v**4 + 1140.
-3*(v - 1)*(v + 2)*(v + 33)**2
Factor 34/13 + 32/13*z - 2/13*z**2.
-2*(z - 17)*(z + 1)/13
Let l(v) be the first derivative of 5*v**4/48 - v**3/8 - v**2/4 + 4*v - 9. Let n(r) be the first derivative of l(r). Suppose n(k) = 0. What is k?
-2/5, 1
Solve -4/3*j**3 + 24*j - 128/3 + 20*j**2 = 0.
-2, 1, 16
Let m(t) = -6*t**3 - 7*t**2 - t. Suppose -16*y + 21 = -9*y. Let i(v) = -3*v**3 - 3*v**2. Let a(u) = y*m(u) - 5*i(u). Factor a(f).
-3*f*(f + 1)**2
Let k(p) be the second derivative of 0*p**4 + 0 - 1/21*p**3 - 5*p - 3*p**2 + 1/210*p**5. Let s(y) be the first derivative of k(y). Determine w so that s(w) = 0.
-1, 1
Let j(x) be the third derivative of x**8/240 + x**7/126 - x**6/90 + 3*x**4/4 - 9*x**2. Let g(s) be the second derivative of j(s). What is u in g(u) = 0?
-1, 0, 2/7
Let y(t) be the second derivative of -t**9/1008 - t**8/168 + 5*t**7/504 + t**6/24 + 19*t**4/12 + 22*t. Let n(m) be the third derivative of y(m). Factor n(z).
-5*z*(z - 1)*(z + 3)*(3*z + 2)
Let d(t) = -2*t - 4. Let m(j) = -5*j - 9. Let v(h) = 7*d(h) - 3*m(h). Let l be v(3). Solve 2*g - g + l*g + g**2 + 2 = 0.
-2, -1
Let s be (1 - (0 + -4) - 7) + (-160)/(-70). Solve 0*f - s*f**2 + 0 + 4/7*f**3 - 2/7*f**4 = 0.
0, 1
Let h(r) be the third derivative of -r**8/1848 + 8*r**7/1155 - r**6/165 - 29*r**5/165 + 5*r**4/132 + 50*r**3/33 - 13*r**2. What is b in h(b) = 0?
-2, -1, 1, 5
Let u be (-2 - 33/(-12))/((-1)/(-4)). Suppose u*o - 2 - 1 = h, 2*o - 2 = 0. Factor 4/5*f + 2/5*f**2 + h.
2*f*(f + 2)/5
Let g = 307/1770 + 11/118. Factor -2/15*q**3 - 2/15*q**4 + 0*q + 0 + g*q**2.
-2*q**2*(q - 1)*(q + 2)/15
Let q(j) = 2*j - 21. Let p be q(12). Suppose 25*l**3 + 5*l**p + 20*l**2 + 3*l + 20*l**4 + 5*l**5 + 2*l = 0. What is l?
-1, 0
Let y(a) = 2*a**2 - 16*a - 18. Let t be y(9). Suppose 0 = 2*s - 8, t = 2*i + 3*s - 4*s - 176. Factor 135*g - 5*g**4 + 30*g**3 + 1/3*g**5 - 81 - i*g**2.
(g - 3)**5/3
Let o(f) be the third derivative of f**6/12 - 23*f**5/24 - 15*f**4/16 + 15*f**3/2 + 551*f**2. Suppose o(l) = 0. What is l?
-1, 3/4, 6
Let x = 8915 + -8911. Factor -14/19*o**3 + 22/19*o**2 + 2/19*o**x + 0 - 10/19*o.
2*o*(o - 5)*(o - 1)**2/19
Let w(b) be the first derivative of b**4/7 - 4*b**3/21 - 4*b**2/7 - 42. Factor w(i).
4*i*(i - 2)*(i + 1)/7
Let p be ((-12)/(-18))/(4 + 58/(-15)). Let l be (5/(-20))/(6/(-16)). Determine a, given that -1/6*a**p + 0*a + 1/6*a**3 - 1/2*a**4 + 7/6*a**2 - l = 0.
-2, -1, 1
Let p(c) be the first derivative of 0*c + 2/11*c**3 + 29 + 1/22*c**4 + 0*c**2. Factor p(k).
2*k**2*(k + 3)/11
Suppose -4*c - 3 + 15 = 0. Determine n so that 8 + 14*n**2 - n**3 + 28*n - 6*n**2 - 3*n**c + 16*n**2 - 8*n**4 = 0.
-1, -1/2, 2
Let o(i) be the second derivative of i**7/315 - i**6/180 - i**5/45 + 3*i**2 + 2*i. Let m(p) be the first derivative of o(p). Factor m(f).
2*f**2*(f - 2)*(f + 1)/3
Let a(z) be the first derivative of -z**6/900 + z**5/150 - 10*z**3/3 - 14. Let g(u) be the third derivative of a(u). Find r such that g(r) = 0.
0, 2
Let u = 243 - 241. Let p(l) be the third derivative of -1/8*l**5 + 1/80*l**6 + 9/4*l**3 + 3/16*l**4 + 0 - l**u + 0*l. Determine g so that p(g) = 0.
-1, 3
Let g(n) = -4*n**3 - 8*n**2 + 7*n - 11. Let o be g(-3). Factor 16/3 - 8/3*t + 10/3*t**3 - 2/3*t**4 - o*t**2.
-2*(t - 2)**3*(t + 1)/3
Let r(d) be the first derivative of 6 + 8/9*d**3 - 16/3*d**2 - 11*d - 1/18*d**4. Let k(v) be the first derivative of r(v). Factor k(q).
-2*(q - 4)**2/3
Let d