pose 0 = -4*o - 4, v = -11*o + 9*o - 882. Let q = -876 - v. Factor -3/7*b**3 + 2/7*b - 1/7*b**2 + 1/7*b**5 + 1/7*b**q + 0.
b*(b - 1)**2*(b + 1)*(b + 2)/7
Let f(h) be the third derivative of 1/300*h**6 - 17/60*h**4 + 70*h**2 + 3/5*h**3 + 7/150*h**5 + 0*h + 0. Find q, given that f(q) = 0.
-9, 1
Let g(w) = 9*w**3 + 705*w**2 + 1218*w - 222. Let v(f) = 11*f**3 + 706*f**2 + 1222*f - 217. Let h(y) = 5*g(y) - 6*v(y). Factor h(s).
-3*(s + 2)*(s + 32)*(7*s - 1)
Let i(k) = 57*k + 24. Let z(x) = -29*x - 13. Let l(n) = 5*i(n) + 9*z(n). Let v(d) = d**2 + 49*d + 7. Let f(m) = -7*l(m) + 3*v(m). Find t, given that f(t) = 0.
0, 7
Let o(t) = 3*t**4 - 4*t**3 - 18*t**2 - 22*t. Let x(m) = -10*m**4 + 13*m**3 + 53*m**2 + 65*m. Let d(z) = -7*o(z) - 2*x(z). Suppose d(b) = 0. What is b?
-2, 0, 6
Let p(u) = -20*u**3 - 338*u**2 - 253*u + 3788. Let d(o) = -29*o**3 - 506*o**2 - 379*o + 5684. Let v(x) = -7*d(x) + 10*p(x). Let v(t) = 0. Calculate t.
-53, -4, 3
What is r in -130*r**2 - 28238*r**3 - 95*r + 28260*r**3 - 44*r + 2*r**4 - 11*r = 0?
-15, -1, 0, 5
Factor 772*y**2 + 48*y + 844*y**2 - 1613*y**2.
3*y*(y + 16)
Let b(o) be the first derivative of 38*o**2 - 43*o**3 + 13 - 33*o**2 + 38*o**3 + o**5. Suppose b(h) = 0. Calculate h.
-2, 0, 1
Let v(p) = -99*p + 423. Let g be v(11). Let q = 672 + g. Solve 51/8*c**2 - q*c**3 - 3/2*c + 0 + 9/8*c**4 = 0.
0, 1/3, 1, 4
Factor -27*b - 15*b**3 - 3/2*b**4 + 0 - 81/2*b**2.
-3*b*(b + 1)*(b + 3)*(b + 6)/2
Let j = 16613 + -82981/5. Suppose -3*f + 132 = 5*z, 5*f = -1 - 4. Solve 84/5*a**3 - j*a - z*a**2 + 147/5*a**4 - 12/5 = 0 for a.
-1, -2/7, 1
Let i(l) be the first derivative of 0*l**5 - 5 + 1/4*l**4 - 1/18*l**6 + 2/9*l**3 + 0*l**2 + 0*l. Factor i(x).
-x**2*(x - 2)*(x + 1)**2/3
Let x(k) = 11*k**2 + 4*k. Let h = -35 - -52. Let c(d) be the first derivative of 32*d**3/3 + 13*d**2/2 + 808. Let z(t) = h*x(t) - 6*c(t). Solve z(s) = 0 for s.
-2, 0
Let h(p) be the third derivative of -p**8/1344 + 19*p**7/105 + 47*p**6/24 + 127*p**5/24 - 313*p**4/32 - 237*p**3/4 + 5*p**2 - 34*p. Find f, given that h(f) = 0.
-3, -1, 1, 158
Suppose c + c - 12 = -2*f, -5*f = c - 6. Solve -3/2*y**3 + c*y + 3/2*y**2 - 6 = 0 for y.
-2, 1, 2
Suppose -5*p = -68 - 38 - 4. Suppose 38/3*t**3 + 0 + p*t**2 + 6*t + 2*t**4 = 0. What is t?
-3, -1/3, 0
Let -3*r**3 - 21/4*r + 0 - 87/4*r**2 = 0. What is r?
-7, -1/4, 0
Suppose -69*c**3 - 49*c**4 + 1365*c + 52*c**4 + 374 + 279*c**2 + 640 = 0. What is c?
-2, -1, 13
Suppose -b = -3*i - 2, -i = 2*b + 2*b - 8. Let s = 5 - i. Factor -14*p**4 + 7*p**3 - 6*p**2 + 8*p**3 + 3*p**s + 2*p**4.
3*p**2*(p - 2)*(p - 1)**2
Let n(r) = r**3 - 1. Let o be (-20)/(-15) + 2*2/(-12). Let t(z) = -8*z**3 + 6*z**2 + 6*z + 12. Let f(x) = o*t(x) + 10*n(x). Factor f(j).
2*(j + 1)**3
Let j(g) = -124*g + 25. Let n be j(1). Let y = -97 - n. Let -2/5*d**y - 4/5*d + 0 = 0. Calculate d.
-2, 0
Let z(l) be the first derivative of l**4 - 88*l**3/3 + 256*l**2 - 896*l + 1051. Determine j so that z(j) = 0.
4, 14
Let q(d) be the second derivative of -3*d**5/140 - 57*d**4/14 - 1440*d**3/7 + 32400*d**2/7 + 7112*d. Factor q(t).
-3*(t - 6)*(t + 60)**2/7
Let i(l) be the first derivative of -32*l**5/5 - 4*l**4 + 10*l**3 + 8*l**2 + 2*l + 293. Solve i(w) = 0 for w.
-1, -1/4, 1
Suppose 7*k**3 + 72200 - 5*k**3 - k**3 + 49074*k - 12214*k + 382*k**2 = 0. What is k?
-190, -2
Suppose -m - 31 + 59 = -3*b, 0 = 4*m + b - 112. Let x(h) be the first derivative of -2*h - 21*h**4 - 23/2*h**2 + m - 80/3*h**3. Suppose x(j) = 0. What is j?
-1/2, -2/7, -1/6
Let j(p) = -p**2 - 2*p. Let d(m) = 3*m**2 + 4*m + 1. Let s(n) = 4*d(n) + 9*j(n). Let g(z) = 4*z**2 - 2*z + 3. Let a(w) = -4*g(w) + 5*s(w). Factor a(u).
-(u - 2)*(u + 4)
Let w be (-156)/130*25/(-60). What is h in 0*h**2 + 15/4*h**4 + 0 - w*h**3 + 0*h = 0?
0, 2/15
Let i(v) be the third derivative of -4/3*v**3 - 4/3*v**4 + 0 - v**2 - 7/30*v**5 - 4*v. Factor i(z).
-2*(z + 2)*(7*z + 2)
Find q such that 2/9*q**2 + 400/3 + 110/9*q = 0.
-40, -15
Let d = 551315/3 + -183768. Factor -d - 4*v - 1/3*v**2.
-(v + 1)*(v + 11)/3
Let n be (16082/(-43))/22 - -19. Factor -4/7 - 6/7*z - 2/7*z**n.
-2*(z + 1)*(z + 2)/7
Let k(r) be the second derivative of 169*r**4/36 - 403*r**3/3 + 2883*r**2/2 - 203*r. Factor k(t).
(13*t - 93)**2/3
Let j(u) be the first derivative of -u**3/12 + 21*u**2/2 - 395*u/4 - 2315. Factor j(h).
-(h - 79)*(h - 5)/4
Let g be ((10/(-6))/((-175)/(-945)))/(-2). Factor -g*c**3 + 15/2*c - 9 + 12*c**2.
-3*(c - 3)*(c + 1)*(3*c - 2)/2
Let u(b) = -b**2 + 4*b + 5. Let o(s) = 2*s**2 - 9*s - 2. Let h(n) = 2*n**2 - 8*n - 4. Let z(r) = -6*h(r) + 4*o(r). Let x(m) = 20*u(m) - 6*z(m). Factor x(d).
4*(d + 1)**2
Let p be 5 + 0 + 6955 + 13. Factor 0*q**2 - p + 3*q**2 + 6985 - 12*q.
3*(q - 2)**2
Let l(k) be the first derivative of 2*k**3/39 - 20*k**2/13 + 200*k/13 - 1105. Suppose l(m) = 0. Calculate m.
10
Let a be ((-44)/(-10))/((-1)/(-5)). Let k be (-38)/(-57) + 706/12 + (-245)/(-70). Let -r + k*r**2 + 81*r**3 + 6*r - a*r + 1 = 0. What is r?
-1, 1/9
Let v(h) be the third derivative of 13*h**8/20160 + h**7/5040 + 7*h**5/30 + 69*h**2 - h. Let d(w) be the third derivative of v(w). Find i such that d(i) = 0.
-1/13, 0
Determine o so that 23/2*o**2 - 1/2*o**3 + 41*o - 52 = 0.
-4, 1, 26
Let k be (1/(-7))/((214/(-428))/((-14)/(-2))). Determine v so that -22/5*v**3 + 0*v + 0 + 12/5*v**k - 2/3*v**5 - 56/15*v**4 = 0.
-3, 0, 2/5
Let a(j) be the second derivative of -j**6/10 + 21*j**5/20 - 3*j**4 - 2*j**3 + 24*j**2 + 27*j - 13. Factor a(y).
-3*(y - 4)*(y - 2)**2*(y + 1)
Let a(t) be the second derivative of -t**6/45 + t**5/5 + 5*t**4/6 + 8*t**3/9 + 109*t + 16. Factor a(g).
-2*g*(g - 8)*(g + 1)**2/3
Let m(i) be the second derivative of -16 - 3*i - 15/2*i**2 - 20/3*i**3 - 5/2*i**4 + 0*i**5 + 1/6*i**6. Let m(t) = 0. Calculate t.
-1, 3
Let a(x) be the second derivative of 1/8*x**5 - 1/72*x**6 - 5/12*x**4 + 0*x**2 + 41/6*x**3 - 39*x + 0. Let l(w) be the second derivative of a(w). Factor l(c).
-5*(c - 2)*(c - 1)
Let w be ((-13)/(-5) - 1)/((-20)/(-200)). Factor -w*t + 80 + 35*t**3 - 19*t - 55*t**2 - 32 + 45*t**4 - 38.
5*(t - 1)*(t + 1)**2*(9*t - 2)
Factor -7*g**3 + 3*g**3 + 1872 - 698*g + 332*g**2 - 886*g.
-4*(g - 78)*(g - 3)*(g - 2)
Let g(r) be the third derivative of -5*r**8/336 - 3*r**7/14 - 29*r**6/24 - 43*r**5/12 - 25*r**4/4 - 20*r**3/3 - r**2 - 1642*r + 1. Factor g(h).
-5*(h + 1)**3*(h + 2)*(h + 4)
Suppose -13*i = -4*i + 36. Let x(f) = 17*f**3 + 37*f**2 + 43*f - 119. Let a(d) = 6*d**3 + 12*d**2 + 14*d - 40. Let q(v) = i*x(v) + 11*a(v). Factor q(p).
-2*(p - 1)*(p + 3)*(p + 6)
Let j = -8942 + 125191/14. Let h(g) be the second derivative of 0 + 26*g - 1/28*g**4 + 0*g**2 - j*g**3. Find x, given that h(x) = 0.
-3, 0
Let v(o) = -o**4 + o**2 + o - 1. Let g = 96 - 95. Let b(h) = 6*h**5 + 10*h**4 + 2*h**3 - 2*h**2 - 2*h + 2. Let k(z) = g*b(z) + 2*v(z). Factor k(n).
2*n**3*(n + 1)*(3*n + 1)
Suppose 5*k - 5*v + 284 = 344, -k = 5*v + 48. Factor -16/7 + 92/7*q**k - 176/7*q.
4*(q - 2)*(23*q + 2)/7
Let n(v) be the first derivative of -v**6/2 - 48*v**5 - 699*v**4/4 - 154*v**3 - 1020. Determine c, given that n(c) = 0.
-77, -2, -1, 0
Factor -4052/7*u - 2704/7 + 6/7*u**2.
2*(u - 676)*(3*u + 2)/7
Let f be (-33 + (-31)/(-1))/(2/(-4)). Let t(b) be the first derivative of 13 + 0*b - 1/3*b**6 + 0*b**3 + 8/5*b**5 - 2*b**f + 0*b**2. Factor t(g).
-2*g**3*(g - 2)**2
Suppose -13*z = -9*z - 4*y - 51036, 4*z - 5*y - 51035 = 0. Solve -12824*m - 16*m**3 + 5 + z*m - 112*m**2 + 12*m**4 - 5 = 0 for m.
-2, -2/3, 0, 4
Let m be 8/(-10)*(-75)/18 - 202/606. Let y(v) be the third derivative of 0 - 1/10*v**5 + v**m - 13*v**2 + 0*v + 1/40*v**6 - 1/8*v**4. Factor y(z).
3*(z - 2)*(z - 1)*(z + 1)
Let i be 248629/(-82116) + 0 + (-2)/(-8) + 3. Suppose -2 - i*k**2 + 4/3*k = 0. Calculate k.
3
Suppose 12*a - 6 = 27 - 9. Let l(q) be the second derivative of 1/2*q**4 + 0 + 0*q**3 - 1/10*q**5 - 4*q**a + 14*q. Factor l(g).
-2*(g - 2)**2*(g + 1)
Let c = 1876 - 75039/40. Let s(k) be the second derivative of 0*k**2 + 0*k**4 - c*k**5 - 17*k + 1/3*k**3 + 0. Solve s(y) = 0 for y.
-2, 0, 2
Let n be (-1)/1 + (-1 - -5) - 0. Suppose -1 = -l + 2. Factor l*q**4 - 21*q**n - 4*q + q**4 - 23*q + 45*q**2 - q**4.
3*q*(q - 3)**2*(q - 1)
Let z(h) be the first derivative of -3*h**7/56 - h**6/5 - 21*h**5/80 - h**4/8 + 62*h + 101. Let v(y) be the first deri