 -219. Let z(u) = -13*u**3 + 45*u**2 - 36*u - 13. Let j(c) = b*z(c) + a(c). Let j(x) = 0. Calculate x.
-1/4, 2
Let q(n) = 5*n**4 + 10*n**3 + 115*n**2 - 120*n - 105. Let m(v) = -5*v**4 - 31*v**3 - 113*v**2 + 119*v + 106. Let t(d) = 5*m(d) + 4*q(d). Factor t(j).
-5*(j - 1)*(j + 1)**2*(j + 22)
Let r(c) be the third derivative of c**5/60 - 13*c**4/4 - 80*c**3/3 - 322*c**2. Solve r(o) = 0.
-2, 80
Let f(x) be the first derivative of -x**6/18 - 56*x**5/15 - 261*x**4/4 + 56*x**3/9 + 392*x**2/3 - 4335. Determine v so that f(v) = 0.
-28, -1, 0, 1
Let j be 5067/21 + 66 + 1800/(-28). Suppose -21/4*q**3 - 135/2 - 1221/4*q - j*q**2 = 0. What is q?
-45, -1, -2/7
Let h = -155203 - -776027/5. Solve -2/5 + h*b**4 - 1/5*b + 26/5*b**2 + 37/5*b**3 = 0 for b.
-2, -1, -1/3, 1/4
Factor 0*o**4 - 2*o + 2/3*o**5 + 0 - 4*o**3 - 16/3*o**2.
2*o*(o - 3)*(o + 1)**3/3
Let p(f) = 11*f**4 + 14*f**3 - 24*f**2 - 22*f + 21. Let d(o) = 13*o**4 + 13*o**3 - 24*o**2 - 23*o + 21. Let g(m) = -4*d(m) + 5*p(m). Solve g(y) = 0.
-7, -1, 1
Let f(n) be the second derivative of n**4/48 + 173*n**3/12 - 87*n**2 + n + 4. Suppose f(o) = 0. Calculate o.
-348, 2
Suppose 0 = -9*q + 3*q + 90. Let i be 6/20*2 + 231/q. Determine d so that d**3 - 4*d - 16*d**2 - 6*d**3 + i*d**4 - 9*d**5 + 21*d**5 - 3*d**3 = 0.
-1, -1/3, 0, 1
Let t be -2*(180/(-8))/9. Suppose 0 = 3*p + 2*o - 0*o - 18, 0 = -t*o. Factor -4*f - 66*f**2 + 60*f**2 + 4 - p*f.
-2*(f + 2)*(3*f - 1)
Let m be 6*3/(-105)*((-966)/12)/23. Suppose -18*y = -10*y - 24. Factor m*n**y + 3 + 9/5*n**2 - 27/5*n.
3*(n - 1)**2*(n + 5)/5
Let w be ((-4)/3)/((-819)/(-567))*20/(-60). Let w + 58/13*t**2 - 62/13*t = 0. Calculate t.
2/29, 1
Let f be (-4)/(-3)*-9 - -3. Let s be f/36 + 34/8. Factor 3*y + 0*y**2 - 3*y**3 + 3*y**2 + 1 + 0*y - s.
-3*(y - 1)**2*(y + 1)
Let i = 19460 + -19460. Factor -2/11*w**3 - 2/11*w**4 - 6/11*w + i + 10/11*w**2.
-2*w*(w - 1)**2*(w + 3)/11
Let s(b) = -b**2 - 18*b + 67. Let m be (52 - 62) + (-26)/(-2). Let p be s(m). Factor -2/7*g**p - 18/7*g**2 + 8/7*g + 0 + 12/7*g**3.
-2*g*(g - 4)*(g - 1)**2/7
Suppose 0 = n - l + 3, 26*l - 17 = 4*n + 21*l. Let u(q) be the second derivative of 1 - 1/90*q**5 - 44*q + 0*q**3 - 1/54*q**4 + 0*q**n. Factor u(z).
-2*z**2*(z + 1)/9
Suppose -3*u = -15, 5*i + 0*u = -4*u - 10. Let q = i - -10. Find s, given that -16*s**3 + s**3 + 12 - 39*s**2 - q*s - 8*s + 0*s**3 = 0.
-2, -1, 2/5
Let y = 60 + -57. Suppose y*z - 8 = 10. Determine c so that -21*c**3 + c**4 - 22*c**3 + 59*c**3 + z - 19*c - 25*c**3 + 21*c**2 = 0.
1, 6
Let d = -978/23 - -32733/184. Factor -57/4*l - d - 3/8*l**2.
-3*(l + 19)**2/8
Let d = 2975/848 - 186/53. Let l = d - -857/7632. Factor l*o**2 + 1/9*o**3 - 4/9*o - 4/9.
(o - 2)*(o + 1)*(o + 2)/9
Let g(d) be the second derivative of d**6/420 + d**5/42 - 2*d**4/21 - 4*d**3/7 + 29*d**2/2 + 3*d + 11. Let m(u) be the first derivative of g(u). Factor m(f).
2*(f - 2)*(f + 1)*(f + 6)/7
Let a(p) = 6*p**3 + 86*p**2 - 80*p - 4. Let h(w) = -22*w**3 - 343*w**2 + 320*w + 15. Let x(u) = -15*a(u) - 4*h(u). Suppose x(n) = 0. What is n?
0, 1, 40
Let g(u) be the first derivative of -3/5*u**2 + 1/50*u**5 + 9/10*u - 1/15*u**3 + 1/10*u**4 + 72. What is n in g(n) = 0?
-3, 1
Let y(t) = 471*t**4 - 1986*t**3 - 5979*t**2 - 246*t - 21. Let x(n) = 118*n**4 - 496*n**3 - 1495*n**2 - 62*n - 5. Let j(m) = 21*x(m) - 5*y(m). Factor j(s).
3*s*(s - 6)*(s + 2)*(41*s + 2)
Suppose -3*t + 15 = 2*i, 68*t = 5*i + 67*t - 12. Factor 87/7*u**2 - 18/7*u**i - 132/7*u + 60/7.
-3*(u - 2)**2*(6*u - 5)/7
Let x be 5 + -2 + (6 - (2 + 3)). Factor 11*q**4 - 4*q**3 + x*q**2 - 8*q**4 - 7*q**4 + 4*q.
-4*q*(q - 1)*(q + 1)**2
Suppose r + 2 = 1, 3*b = 5*r + 14. Let c = -2624 + 2624. Suppose -2/5*u**5 + 4/5*u + c + 6/5*u**2 - 2/5*u**b - 6/5*u**4 = 0. What is u?
-2, -1, 0, 1
Let v(d) = -18*d + 54. Let y be v(3). Determine n, given that -13 + y + 8 - 2 + 1 + n**2 + n = 0.
-3, 2
Suppose -5*w + 10 = a, -w + 2 = -2*w - a. Let x(t) = -t**2 - 6*t + 41. Let b be x(-10). Solve b - 1 + w*s + 2*s**3 - 9*s - 4 = 0 for s.
-1, 2
Let d = 4765/4 - 2381/2. Let m(k) be the first derivative of 1/16*k**4 + 5/12*k**3 + d*k + 7/8*k**2 + 28. Solve m(y) = 0.
-3, -1
Let q(v) be the second derivative of -v**7/6 - 151*v**6/30 - 1033*v**5/20 - 767*v**4/4 - 180*v**3 + 486*v**2 - 21*v + 2. What is b in q(b) = 0?
-9, -2, 3/7
Let x(u) be the second derivative of -2/15*u**6 + 0 - 4*u**3 + 0*u**2 + 7/3*u**4 + 0*u**5 - 42*u. Factor x(v).
-4*v*(v - 2)*(v - 1)*(v + 3)
Let -400/3*u + 16/3*u**3 + 2/3*u**4 - 250 - 20/3*u**2 = 0. What is u?
-5, -3, 5
Suppose -5678*r**2 + 5794*r**2 - 277 + 183 - 4*r**3 + 984*r + 958 = 0. What is r?
-6, -1, 36
Let z be 7/(420/8) - (-15)/75. Solve 100*u - 1000/3 + z*u**3 - 10*u**2 = 0.
10
What is t in -33165*t**2 + 1503815/2 - 500*t**3 - 5/2*t**4 - 718240*t = 0?
-67, 1
Let v = -73285 - -73287. Factor 2/11*f + 14/11 - 2/11*f**3 - 14/11*f**v.
-2*(f - 1)*(f + 1)*(f + 7)/11
Factor 0 - 243/7*g**3 - 1/7*g**5 + 675/7*g**2 + 33/7*g**4 - 648/7*g.
-g*(g - 24)*(g - 3)**3/7
Factor 1/5*i**4 - 44/5*i - 16/5*i**3 + 0 + 59/5*i**2.
i*(i - 11)*(i - 4)*(i - 1)/5
Let f(k) = -2*k**3 + k**2 + k - 1. Let l(q) = 12*q**5 - 1272*q**4 - q**3 + 947*q**2 + 314*q + 4. Let t(r) = 4*f(r) + l(r). Find g such that t(g) = 0.
-1/2, 0, 1, 106
Let v(p) be the third derivative of -p**6/1440 - p**5/60 - 7*p**4/96 + 68*p**3/3 - 166*p**2. Let d(j) be the first derivative of v(j). Factor d(t).
-(t + 1)*(t + 7)/4
Let z(v) = 19*v**3 - 79*v**2 - 2*v + 2. Let a(j) = -9*j**3 + j - 1. Let k(h) = 6*a(h) + 3*z(h). Factor k(c).
3*c**2*(c - 79)
Factor -4*d**4 - 496*d**3 + 76*d**2 + 300*d**3 + 120*d**2 + 4*d**5.
4*d**2*(d - 7)*(d - 1)*(d + 7)
Let d(b) be the first derivative of -66 - 1/12*b**3 - 21/2*b + 13/8*b**2. Factor d(t).
-(t - 7)*(t - 6)/4
Find l such that -228/5*l**2 - 42/5*l**4 + 3/5*l**5 + 0 + 159/5*l**3 + 108/5*l = 0.
0, 1, 2, 9
Factor 75 - 6867*m**3 + 275*m**2 - 43*m + 6887*m**3 - 327*m.
5*(m - 1)*(m + 15)*(4*m - 1)
Let y be (-26)/169*(12 + -46). Suppose -48/13 - y*n - 22/13*n**2 - 2/13*n**3 = 0. Calculate n.
-6, -4, -1
Let f(o) be the first derivative of -o**4/24 - 11*o**3/6 - 24*o**2 - 128*o/3 + 1701. Let f(n) = 0. Calculate n.
-16, -1
Suppose 3*o = 3*h - 1587, -5*h + 2*o = 1662 - 4295. Let w be (-62)/14 + h/105. Factor 4/7*y**2 - w*y**4 + 0 - 1/7*y**3 + 1/7*y.
-y*(y - 1)*(y + 1)*(4*y + 1)/7
Let k(g) = -2*g**3 + 7*g**2 - 6*g + 7. Let i be k(4). Let j = i + 36. Determine o so that 3*o - o + o**3 - j*o**3 + 2*o**5 - 2*o**3 = 0.
-1, 0, 1
Let w(a) = -a**5 - 1521*a**4 + 1493*a**3 + 1521*a**2 - 1546*a. Let c(s) = -s**5 - s**4 - 2*s**3 + s**2 - 6*s. Let n(v) = 6*c(v) - w(v). Solve n(j) = 0 for j.
-1, 0, 1, 302
Let q be (-11)/(-3) + 12 + -15. Let n(g) be the first derivative of q*g + 2/3*g**2 - 4 + 2/9*g**3. Solve n(u) = 0.
-1
Let a(f) = 11*f**4 - 19*f**3 - 149*f**2 - 218*f - 93. Let o(i) = -75*i**4 + 135*i**3 + 1045*i**2 + 1525*i + 650. Let k(v) = 20*a(v) + 3*o(v). Factor k(u).
-5*(u - 9)*(u + 1)**2*(u + 2)
Let p(c) = 14*c**3 + 522*c**2 + 5545*c + 5076. Let v(t) = 4*t**3 + 172*t**2 + 1848*t + 1692. Let g(d) = -4*p(d) + 13*v(d). Suppose g(a) = 0. What is a?
-9, -1, 47
Let f be ((-50)/6)/((-11)/165). Determine u, given that -121*u**4 + 16*u + 7*u**2 + f*u**4 - 16*u**3 + u**2 - 12 = 0.
-1, 1, 3
Let m = 651/6490 - 1/3245. Let s(h) be the second derivative of m*h**5 + 4*h**2 + 0 - 7/6*h**4 - 1/21*h**7 - 8*h + 0*h**3 + 1/5*h**6. Let s(p) = 0. Calculate p.
-1, 1, 2
Let b(j) be the first derivative of -j**5/10 + 4*j**4/3 + 3*j**3 - 43*j + 51. Let x(r) be the first derivative of b(r). Factor x(q).
-2*q*(q - 9)*(q + 1)
What is q in 1/7*q**2 - 107/7*q + 312/7 = 0?
3, 104
Let f(j) be the first derivative of 1/15*j**3 + 6/5*j - 25 - 1/2*j**2. Let f(h) = 0. Calculate h.
2, 3
Suppose 46*p - 2 = 45*p. Suppose a = 4*m - 10, 9 - 5 = p*a. Determine d so that -3*d**5 + 13*d**4 + 9*d**4 - 22*d**4 + 3*d**m = 0.
-1, 0, 1
Let v = -4662 - -4664. Let s(g) be the third derivative of 1/21*g**4 + 0 + 1/210*g**5 - v*g**2 + 4/21*g**3 + 0*g. Factor s(x).
2*(x + 2)**2/7
Let o(v) = 9*v**3 + 3*v**2 - v - 1. Let t be o(1). Let r be 8*((-125)/t)/(-5). Factor -r*q + 16*q**2 + 5*q**3 - 16*q**2.
5*q*(q - 2)*(q + 2)
Let q(p) be the second derivative of -2/3*p**4 - 2 + 1/10*p**5 - 5/3*p**3 + 49*p + 0*p**2. Factor q(j).
2*j*(j - 5)*(j + 1)
Let v(x) = 6*x**4 - x