(j).
2*(j - 1)*(j + 1)*(j + 5)
Factor 0 + 66/7*y - 101/7*y**2 - 1/7*y**4 + 36/7*y**3.
-y*(y - 33)*(y - 2)*(y - 1)/7
Let a(r) be the third derivative of r**8/336 - 8*r**7/105 - r**6/120 + 4*r**5/15 - 2579*r**2. Factor a(v).
v**2*(v - 16)*(v - 1)*(v + 1)
Find k such that -6072/7*k**2 - 4/7*k**4 - 320/7*k**3 + 13120/7*k - 6724/7 = 0.
-41, 1
Factor -36 - 14*l + 8/3*l**3 + 22/3*l**2.
2*(l + 2)*(l + 3)*(4*l - 9)/3
Let i(r) be the third derivative of r**5/210 - 121*r**4/14 + 43923*r**3/7 - r**2 - 716. Solve i(z) = 0.
363
What is f in -2/3*f**3 - 542/3*f + 116/3*f**2 + 212 = 0?
2, 3, 53
Let y(x) = 2*x**2 + 178*x + 1850. Let l be y(-77). Let h(s) be the first derivative of -32/9*s + 7/9*s**4 - 4/45*s**5 - 8/3*s**3 + 13 + 40/9*s**l. Factor h(r).
-4*(r - 2)**3*(r - 1)/9
Let g be 3/(-2)*(1096/(-1918))/((-14)/(-343)*7). Solve 0 + 10*z**5 + 0*z + 4/3*z**2 - 56/3*z**4 + 22/3*z**g = 0.
-2/15, 0, 1
Suppose 2*f = 184 - 58. Suppose 0*w = -u - w + 11, -3*u = -3*w - f. Factor -35*h**3 - 388*h**2 + 57*h**5 - 380*h**4 + 128*h + 43*h**5 - u + 591*h**3.
4*(h - 1)**3*(5*h - 2)**2
Let y(b) = 9*b**2 - 12*b - 15. Let z be y(5). Find u, given that -5*u**2 - 559 + z*u + 303 - 869 = 0.
15
Let n(p) be the first derivative of -155 - 1083*p**2 + 13718*p + 38*p**3 - 1/2*p**4. Determine c so that n(c) = 0.
19
Determine n so that 2*n**3 + 51*n**2 + 1838 + 502 - 224*n**2 - 7*n**3 - 2085*n - 77*n**2 = 0.
-39, -12, 1
What is l in -752*l**2 - 21*l**3 + 206*l**3 - 1407250*l**4 + 1407251*l**4 + 756*l = 0?
-189, 0, 2
Let t(w) = -w**3 - 1. Let c(h) = 5*h**3 - h + 5. Let o(f) = 2*c(f) + 9*t(f). Let b be o(1). Factor 1/4*j**4 + b*j**3 + 1/2*j + 0 - 3/4*j**2.
j*(j - 1)**2*(j + 2)/4
Let a be (16760/(-37710))/((-2)/7). Factor 8/3 + a*m**2 + 88/9*m.
2*(m + 6)*(7*m + 2)/9
Let j be (-420 + 26)/(-1 + -1). Let n = j - 575/3. Factor 12*t**2 + n + 40/3*t + 14/3*t**3 + 2/3*t**4.
2*(t + 1)*(t + 2)**3/3
Let k(h) = 3*h**2 + 4664*h - 14015. Let j be k(3). Determine v, given that 0 + 99/7*v**2 + 1/7*v**j - 121/7*v + 3*v**3 = 0.
-11, 0, 1
Let c(w) be the first derivative of -w**4/24 - w**3/3 + 3*w**2 - 79*w + 74. Let y(q) be the first derivative of c(q). Factor y(v).
-(v - 2)*(v + 6)/2
Let k = 220 + -217. Factor -111*v**2 + 19*v**2 + 38*v + 52*v + 5*v**k + 0*v**3 + 37*v**2.
5*v*(v - 9)*(v - 2)
Let l(u) = 27*u - 68. Let c be l(10). Find n such that 40*n - 61*n**2 - 33*n**2 + 21*n**5 - 74*n**2 + c*n**3 - 84*n**4 - 11*n**5 = 0.
0, 2/5, 1, 2, 5
Suppose -1288 - 212 + 783*b - 2*b**2 - 395*b - 498*b = 0. Calculate b.
-30, -25
Let p be (-40288)/320 - (-2)/(-20). Let l be ((-8)/28)/(45/p). Determine s, given that l*s**2 + 0*s**3 + 3/5*s**5 - 7/5*s**4 + 0 + 0*s = 0.
-2/3, 0, 1, 2
Let z(f) be the third derivative of f**6/150 + 44*f**5/75 + 629*f**4/30 + 1156*f**3/3 + 1996*f**2. Factor z(b).
4*(b + 10)*(b + 17)**2/5
Let o(z) be the third derivative of 2*z**5/15 - 1999*z**4/6 - 2000*z**3/3 + 5*z**2 + 29*z + 2. Solve o(x) = 0 for x.
-1/2, 1000
Let m = -6740 + 33703/5. Let y(z) be the first derivative of m*z**5 - z**3 - 12 - 3/2*z**4 + 0*z + 9/4*z**2 + 1/4*z**6. What is c in y(c) = 0?
-3, -1, 0, 1
Let a(t) be the third derivative of -32/21*t**3 - 1/210*t**5 + 3/14*t**4 - 4*t**2 - 5 + 0*t. Factor a(o).
-2*(o - 16)*(o - 2)/7
Let c(r) = -87*r + r**2 + 1 + 176*r - 88*r. Let d(j) = -2*j**2 + 23*j + 166. Let a(l) = -6*c(l) - 2*d(l). Let a(s) = 0. Calculate s.
-13
Suppose 8*y + 145 = 169. Let 14*f**2 + 5*f**4 - 37 + 5*f**3 + 37 + 0*f**y - 44*f**2 = 0. What is f?
-3, 0, 2
Let a = -661 - -661. Let b(y) be the first derivative of 2/15*y**5 + a*y**4 + 0*y**2 + 1/18*y**6 + 0*y**3 - 6 + 0*y. Factor b(u).
u**4*(u + 2)/3
Suppose 26*h - 67*h = -71*h. Let d(v) be the first derivative of 19 + 0*v**2 + h*v - 1/16*v**4 - 1/12*v**3. Suppose d(c) = 0. What is c?
-1, 0
Let l = 149113 - 149113. Determine i, given that 2*i**3 - 10/7*i**2 + l - 4/7*i = 0.
-2/7, 0, 1
Let t(d) = 5*d**3 - 478*d**2 + 291*d - 3. Let x(s) = -50*s**3 + 4785*s**2 - 2911*s + 29. Let u(z) = 58*t(z) + 6*x(z). Find g, given that u(g) = 0.
0, 3/5, 98
Let b(p) be the third derivative of 0*p - 1/140*p**7 - 1/40*p**5 + 0*p**3 + 0*p**4 - 11/480*p**6 + 0 + 84*p**2 - 1/1344*p**8. Solve b(t) = 0.
-3, -2, -1, 0
Let l(t) be the second derivative of -t**4/42 - 4*t**3/7 - 32*t**2/7 + 505*t + 2. Find i such that l(i) = 0.
-8, -4
Let q(j) be the second derivative of 0 + 4/5*j**3 - 60*j + 13/30*j**4 - 1/5*j**2. Factor q(d).
2*(d + 1)*(13*d - 1)/5
Suppose 4*l + 3*f = 9, -475*f + 476*f = 5*l + 3. Let r(w) be the second derivative of l + 1/10*w**4 - 16*w - 4/5*w**2 + 1/15*w**3. Factor r(m).
2*(m - 1)*(3*m + 4)/5
Let d(p) = -2*p**2 + 570*p - 12997. Let w be d(25). What is q in 22/13*q**w + 0 - 4/13*q - 8/13*q**4 - 10/13*q**2 = 0?
-1/4, 0, 1, 2
Suppose 708*k**2 - 11066*k**3 + 919*k**4 - 2436*k**3 - 3280*k**4 - 39044*k**4 - 1240*k**3 - 8*k = 0. What is k?
-2/5, 0, 2/91
Factor -160/3 + 176/3*y + 4/3*y**3 - 56/3*y**2.
4*(y - 10)*(y - 2)**2/3
Factor 2/3*d + 8/3 - 1/3*d**2.
-(d - 4)*(d + 2)/3
Let z be 5/(-15*4/(-24)) + 4. Suppose -2*s = y + 4*y - 55, z = 2*y. Suppose 1 - 120*c**2 - 13*c**4 - 1 + 225*c**3 + s*c - 112*c**4 = 0. Calculate c.
0, 2/5, 1
Let a be (189/(-3465))/((-279)/682). Find i, given that 0 - a*i**5 + 2/5*i**4 + 4/15*i - 2/15*i**3 - 2/5*i**2 = 0.
-1, 0, 1, 2
Find s such that 96 - 80/3*s**2 + 0*s + 2/3*s**4 + 0*s**3 = 0.
-6, -2, 2, 6
Let i(c) be the second derivative of c**4/66 + 25*c**3/33 - 350*c**2/11 + 4855*c. Factor i(a).
2*(a - 10)*(a + 35)/11
Let t = -214219/5 + 42848. Determine l, given that -t*l**3 + 6/5*l**2 - 6/5 + 21/5*l = 0.
-1, 2/7, 1
Let b(r) = -4*r**3 - 8*r**2 - 5*r. Let m = -34 + 39. Let v(z) = 6*z**3 + 12*z**2 + 8*z. Let c(u) = m*v(u) + 8*b(u). Find d, given that c(d) = 0.
-2, 0
Let a(p) be the second derivative of -p**7/210 + 16*p**6/75 + 17*p**5/50 - 8*p**4/15 - 11*p**3/10 + 9*p + 134. Suppose a(f) = 0. Calculate f.
-1, 0, 1, 33
Let f be (-93)/(-248)*4/3. Let x(d) be the second derivative of -1/3*d**3 + 0 - 1/12*d**4 - 12*d - f*d**2. Factor x(l).
-(l + 1)**2
Let o(t) be the first derivative of -4*t**3/3 - 32*t**2 + 528*t - 50. Find a, given that o(a) = 0.
-22, 6
Factor -5/2*w**3 + 180 + 90*w - 5*w**2.
-5*(w - 6)*(w + 2)*(w + 6)/2
Let g = 1/289086 - -3634223/289086. Find w such that 6/7*w**2 - 8/7*w**4 + 22/7 + 68/7*w - g*w**3 = 0.
-11, -1/2, 1
Let w(y) = 70*y**3 + 40*y**2 - 540*y - 1125. Let s(z) = 29*z**3 + 19*z**2 - 270*z - 562. Let i(x) = -5*s(x) + 2*w(x). Solve i(r) = 0 for r.
-8, -2, 7
Let m be ((-280)/28 + -2 + 232/20)*(-4 + -1). Factor -99/4*d + 51/4 + 45/4*d**m + 3/4*d**3.
3*(d - 1)**2*(d + 17)/4
Let g(z) be the first derivative of 103823*z**4/4 + 11045*z**3 + 3525*z**2/2 + 125*z - 10189. Factor g(s).
(47*s + 5)**3
Suppose -27556/9 - 332/9*a - 1/9*a**2 = 0. Calculate a.
-166
Let r(n) = -n**2 + 3675*n + 9. Let z be r(0). Solve -15/2 - 3/2*h**2 + z*h = 0 for h.
1, 5
Let q(y) be the first derivative of y**5/330 - y**4/12 + 8*y**3/11 + 65*y**2 + 43. Let n(s) be the second derivative of q(s). Factor n(m).
2*(m - 8)*(m - 3)/11
Suppose 52 = 5*l - 2*z, -62 = -4*l - z - 36. Factor 1/3*k**4 - l*k + 22/3*k**2 + 3 - 8/3*k**3.
(k - 3)**2*(k - 1)**2/3
Factor -139/3 - 1/3*g**2 + 140/3*g.
-(g - 139)*(g - 1)/3
Let t(a) be the first derivative of -25*a**6/12 - 47*a**5/2 + 787*a**4/4 + 8197*a**3/3 - 24157*a**2/4 - 288463*a/2 + 2505. Factor t(n).
-(n + 7)**3*(5*n - 29)**2/2
Let v be (((-465)/50)/31)/((-6)/16). Let u(s) be the first derivative of 1/3*s**6 + 0*s + 24 + 0*s**4 - s**2 - v*s**5 + 4/3*s**3. Solve u(h) = 0.
-1, 0, 1
Let f(h) be the first derivative of 5/6*h**3 - 1/2*h**4 - 62 + 1/10*h**5 + 0*h - 1/2*h**2. Let f(k) = 0. What is k?
0, 1, 2
Let i(w) = 4*w**2 + 24*w + 65. Let t(c) = 3*c**2 + 22*c + 66. Let p(n) = -2*i(n) + 3*t(n). Let a be p(-5). Factor 0*l + 7/3*l**2 + 1/3*l**a + 0.
l**2*(l + 7)/3
Suppose 3*c - i + 474 = -113, -3*c - 575 = 5*i. Let q be 4/(-30) + (-26)/c. Factor 0*y + q - 44/3*y**3 - 2/3*y**4 - 242/3*y**2.
-2*y**2*(y + 11)**2/3
Let o be 5*((-14)/(-5))/7. Find v such that -224 - 2*v + 437 - 228 + v**o = 0.
-3, 5
Let w be (-30)/5 + -1 + 9. Let y(q) be the second derivative of 0*q**w + 0*q**3 - 1/3*q**4 + 0 + 5*q + 3/5*q**5 - 2/5*q**6 + 2/21*q**7. Factor y(s).
4*s**2*(s - 1)**3
Factor 7/4 - 3/4*v - 11/2*v**2.
-(2*v - 1)*(11*v + 7)/4
Let j(u) be the firs