5/30 + 41*p**4/8 + 127*p**3/3 + 385*p**2/3 + 172*p - 4884. Factor y(c).
-(c - 129)*(c + 2)**3/6
Let j(l) be the third derivative of -l**5/60 - 7*l**4/6 - 22*l**3 - 49*l**2 + 7. Let j(a) = 0. Calculate a.
-22, -6
Suppose 0 = 38*n - 1 + 13 - 164. Let x be 6/(-9)*(-9)/2. Factor -3*c**n + 20*c - 2*c**x - 7*c**3 - 9*c**2 - 23*c.
-3*c*(c + 1)**3
Let s(b) be the third derivative of 7*b**2 + b - 3/4*b**4 - 1/60*b**6 + 0 + 0*b**3 + 1/5*b**5. Factor s(j).
-2*j*(j - 3)**2
Suppose -3*l + 3 = -3*i - 9, 0 = -4*i - 8. Let h be 210/25 - 7 - (-1 + l). Factor h*j**2 + 0 - 2/5*j.
2*j*(j - 1)/5
Let s(y) be the third derivative of -y**6/180 + y**5/60 + 7*y**3/2 + 20*y**2. Let t(d) be the first derivative of s(d). Factor t(o).
-2*o*(o - 1)
Let z(w) = -160*w**3 - 4*w**2 + 125*w**3 + 0*w**2 + 22 + 11*w. Let h(f) = 7*f**3 + f**2 - 2*f - 4. Let b(q) = 11*h(q) + 2*z(q). Suppose b(v) = 0. Calculate v.
-3/7, 0
Let t = 297129/4 + -74281. Factor -2*g - 1/4*g**3 + 1 + t*g**2.
-(g - 2)**2*(g - 1)/4
Let h(k) be the second derivative of 5*k**7/42 + 5*k**6/3 + 17*k**5/4 + 10*k**4/3 + 50*k + 2. Solve h(s) = 0 for s.
-8, -1, 0
Let r = -104280 - -104280. Let r + 6/5*z + 1/5*z**2 = 0. What is z?
-6, 0
Let y(z) be the first derivative of 8/3*z**2 + 18 - 14/3*z - 2/9*z**3. Factor y(v).
-2*(v - 7)*(v - 1)/3
Suppose -6 = -b - 8. Let s be ((-3)/(-2))/(b/((-16)/6)). Factor -2*c**3 + 4*c**3 + c**2 + c**2 - c**s + c**4.
c**2*(c + 1)**2
Let u(h) be the second derivative of 23*h**5/25 - 94*h**4/15 + 40*h**3/3 - 16*h**2/5 - 2*h - 4982. Suppose u(i) = 0. Calculate i.
2/23, 2
Suppose -840*h = -6*l - 838*h + 44, -4*h - 44 = -l. Let 5/2*t**3 - l - 5/2*t + 79/4*t**2 = 0. Calculate t.
-8, -2/5, 1/2
Let h = 1932/97 - 5602/291. Determine q so that -h*q**2 - 54 + 12*q = 0.
9
Factor -558009/10 + 747/5*s - 1/10*s**2.
-(s - 747)**2/10
Find c, given that 0*c - 1/3*c**4 - 28/3*c**2 + 29/3*c**3 + 0 = 0.
0, 1, 28
Let t = -335562/5 - -67113. Suppose 6/5*s**4 - 9/5*s**2 - t*s + 3/5 + 3/5*s**3 = 0. Calculate s.
-1, 1/2, 1
Let v(r) be the second derivative of -r**5/110 + 71*r**4/22 - 5041*r**3/11 + 357911*r**2/11 - 8*r + 4. Let v(k) = 0. What is k?
71
What is r in 825/8*r - 285/2*r**2 + 0 - 21/8*r**3 = 0?
-55, 0, 5/7
Let a(s) = -s**3 + s. Let l(y) = -y**3 - 9*y**2 - 2*y + 12. Let z be ((-33)/66)/(2/4). Let g(b) = z*l(b) - 2*a(b). Factor g(u).
3*(u - 1)*(u + 2)**2
Let o(g) be the third derivative of g**5/30 - 29*g**4/2 + 173*g**3/3 + 266*g**2 + g. What is i in o(i) = 0?
1, 173
Let q(g) = 50*g + 24 + 56*g - 108*g. Let y be q(12). Factor 0*b**3 + 0*b + y*b + b**3.
b**3
Let b(v) be the second derivative of -v**7/56 - v**6/40 + 633*v**5/80 + 1093*v**4/16 - 855*v**3/4 - 972*v**2 - 821*v + 2. Solve b(j) = 0 for j.
-9, -1, 2, 16
Factor 9/5*d**2 + 0 + 6/5*d**3 - 27/5*d.
3*d*(d + 3)*(2*d - 3)/5
Let g = 3167/3822 + 3/637. Let w(s) be the second derivative of 0 - 5/2*s**2 + 1/2*s**5 - 5/42*s**7 + 5/6*s**4 - 1/6*s**6 - g*s**3 + 16*s. Factor w(y).
-5*(y - 1)**2*(y + 1)**3
Factor -243*z - 8 - 76 + 36 - 16 - 58 + 2*z**2.
(z - 122)*(2*z + 1)
Let q(d) be the second derivative of 0*d**3 + 0*d**2 + 0*d**4 - 67*d + 0*d**5 - 5/42*d**7 + 0 + 0*d**6. Factor q(p).
-5*p**5
Let q be 25975/(-10)*((-24)/10 - -2). Let s = q - 1035. Determine f, given that 10/11*f**2 + 0 + 2/11*f**s - 8/11*f**3 - 4/11*f = 0.
0, 1, 2
Let f(o) be the second derivative of o**7/12600 + o**6/720 - 79*o**4/12 - o - 26. Let v(h) be the third derivative of f(h). Find b, given that v(b) = 0.
-5, 0
Let s = -9395/9 + 1045. Let f = s + -61/63. Factor 3/7 - 2/7*a - f*a**2.
-(a - 1)*(a + 3)/7
Find g such that 0 - 3*g**4 + 33/2*g**3 - 27/2*g**2 + 0*g = 0.
0, 1, 9/2
Let t be 127 + 4*(-4)/8. Factor 4*j**2 + 73*j + 2 - t*j + 64*j - 18.
4*(j - 1)*(j + 4)
Suppose -2*v = -x + 821, 18*v - 3*x + 827 = 16*v. Let i = v + 411. Suppose 3*s + 4*s**i + 2/3 + 5/3*s**3 = 0. What is s?
-1, -2/5
Suppose -y - 4*l = 2*y + 140, -4*l = -5*y - 244. Let j be ((-9)/12)/(12/y). Let 1/6 - 5/6*v + 7/6*v**2 - 1/2*v**j = 0. Calculate v.
1/3, 1
Suppose 4*c = 3*s + 4, -87*c - 30 = -82*c + 5*s. Let p be 2/(-3)*(-1)/(c/(-9)). What is g in 0*g**2 - 1/4*g + 0 + 1/4*g**p = 0?
-1, 0, 1
Suppose o = -4*s - 5, o - s = 5*o - 10. Let f(z) be the first derivative of 0*z + 4/3*z**o + 8*z**2 - 13. Find d, given that f(d) = 0.
-4, 0
Factor 20*g**2 + 476*g - 5*g**2 + 512*g + 90 - 1564*g + 417*g.
3*(g - 10)*(5*g - 3)
What is a in -1/6*a**3 + 13/3*a**2 + 0*a + 1/6*a**5 - 13/3*a**4 + 0 = 0?
-1, 0, 1, 26
Let n(z) = 6*z + 51. Let t be n(-8). Find b such that -3*b - 6*b**2 - 2*b**3 + 4*b**3 + 2*b**2 - t*b**3 = 0.
-3, -1, 0
Let p(c) be the first derivative of c**6/300 - c**5/150 - c**4/30 + 14*c**2 - 25. Let g(a) be the second derivative of p(a). Factor g(u).
2*u*(u - 2)*(u + 1)/5
Let s(w) be the second derivative of -31/24*w**4 + 867/4*w**2 - 187/12*w**3 + w - 1/40*w**5 + 43. Solve s(l) = 0.
-17, 3
Let 13/3*f - 1/3*f**2 + 238 = 0. Calculate f.
-21, 34
Let j(u) = -302*u**2 - 928*u - 64. Let w be j(-3). Factor -30/7 - 13/7*s - 1/7*s**w.
-(s + 3)*(s + 10)/7
Let g(z) = -7*z**3 - 124*z**2 + 510*z - 518. Let y(u) = -3*u**3 - 62*u**2 + 256*u - 260. Let t(n) = 4*g(n) - 10*y(n). Factor t(h).
2*(h - 2)**2*(h + 66)
Suppose 5*p - 6 = a, 12 = -2*p - 6*a + 10*a. Find t, given that 0*t**2 + 2*t**2 + 21*t + 7*t**p + 15*t**2 + 3*t**3 = 0.
-7, -1, 0
Let r be 235/105 - 2/(-6) - (-106 - -68 - -40). Factor -6/7*f + r*f**2 + 0 + 2/7*f**3.
2*f*(f - 1)*(f + 3)/7
Let m(r) = 8. Let j(x) = -x**2 - 62*x - 160. Let p(a) = j(a) - 9*m(a). Factor p(v).
-(v + 4)*(v + 58)
Let n = -823/7 - -16467/140. Let p(w) be the second derivative of n*w**5 - 2*w + 1/2*w**3 - 5/12*w**4 + 0 + 9/2*w**2. Solve p(t) = 0.
-1, 3
Let k(h) = h**4 - h**3 + h**2 - h - 1. Let s(g) = 6*g**2 - 20*g**3 + 20*g**4 + 209*g - 14 - 225*g + 6*g**2. Let j(f) = 36*k(f) - 2*s(f). Factor j(o).
-4*(o - 2)*(o - 1)*(o + 1)**2
Let m(q) be the first derivative of q**3/2 - 933*q**2/4 - 5400. Suppose m(a) = 0. Calculate a.
0, 311
Let o be 5/((-270)/(-1176)) + 136 + -156. Find c, given that 10/9*c**5 - 44/9*c**4 + 0 + 8/3*c - 94/9*c**3 - o*c**2 = 0.
-1, 0, 2/5, 6
Let k = -3/107 - -125/642. Let x be ((-3)/30)/(36/(-300)). Determine z so that -z - k*z**2 - x = 0.
-5, -1
Let i be (-336)/189 + 6 - 4/18. Determine a, given that -432*a**5 + 23/3*a + 144*a**i + 1/3 + 64*a**2 + 216*a**3 = 0.
-1/6, 1
Suppose -35*p - 542*p**2 + 192 - 2*p - 4*p + 538*p**2 - 11*p = 0. What is p?
-16, 3
Suppose 2*p + 8 = 88. Factor 9*u**3 + 30*u**4 + u**3 - p*u**2 - 25*u**4.
5*u**2*(u - 2)*(u + 4)
Suppose -70 = -3*o - 2*c, 4*c + 74 = 5*o - 6. Factor 21*r - 80*r - o*r**2 + 24*r - 113*r + 96.
-4*(r + 8)*(5*r - 3)
Let s(k) be the first derivative of k**6/630 + 13*k**5/105 + 25*k**4/42 + 2*k**3 - 57. Let o(t) be the third derivative of s(t). Factor o(p).
4*(p + 1)*(p + 25)/7
Let l(m) = -9*m**4 + 6243*m**3 + 6252*m**2 + 4*m - 4. Let c(s) = 38*s**4 - 24971*s**3 - 25009*s**2 - 18*s + 18. Let u(k) = 2*c(k) + 9*l(k). Factor u(n).
-5*n**2*(n - 1250)*(n + 1)
Let q = 394655 - 394650. Find r, given that 218/7*r**3 + 536/7*r - 40/7*r**4 + 2/7*r**q - 508/7*r**2 - 208/7 = 0.
1, 2, 13
Let s(d) be the second derivative of d**5/5 - 11*d**4/3 + 80*d**3/3 - 96*d**2 + 999*d. Factor s(q).
4*(q - 4)**2*(q - 3)
Factor -1/4*q**2 + 7/2*q - 6.
-(q - 12)*(q - 2)/4
Suppose 2*w - 65399*q + 65400*q = 28, -4*q + 100 = 5*w. Factor 2/7*f**w + 36/7*f**3 + 92/7*f + 96/7*f**2 + 30/7.
2*(f + 1)**3*(f + 15)/7
Let s(h) be the first derivative of -100 + 0*h**4 - 3/20*h**5 + 3/4*h**2 + 0*h + 3/4*h**3. Find c such that s(c) = 0.
-1, 0, 2
Let p(r) = -12*r**2 + 12*r + 105. Let l be (-300)/(-500) - (-18)/(-5). Let f(y) = 15*y**2 - 11*y - 104. Let q(a) = l*f(a) - 4*p(a). Factor q(s).
3*(s - 9)*(s + 4)
Let x be (-83)/166*(-1 - (0 - -13)). Let -21*t**2 + x*t**2 + 381*t**3 + 389*t**3 - 780*t**3 = 0. What is t?
-7/5, 0
Let d = 4 - 8. Let x be (0 - (-18)/(-4))*d/6. Find l, given that 2*l**5 + x*l**2 + 10*l**4 + 16*l**3 - 20*l**4 - 11*l**2 = 0.
0, 1, 2
Let u(m) be the first derivative of m**5/20 - 55*m**4/48 + 19*m**3/12 + 13*m**2/8 - 110*m - 13. Let z(x) be the first derivative of u(x). Factor z(b).
(b - 13)*(b - 1)*(4*b + 1)/4
What is g in 0 + 1/2*g**2 - 15*g = 0?
0, 30
Let x(w) be the first derivative of -3/10*w**4 - 3/25*w**5 + 7/5*w**3 + 36/5*w + 6*w**2 - 80. Suppose x(h) = 0. W