**3 - 1/80*c**6 - 1/40*c**5 - 1/48*c**4 - 1/420*c**7 + 6*c**2 + 0*c + 0. Factor u(l).
-l*(l + 1)**3/2
Factor -3/2*o**3 + 12*o**2 + 18 - 57/2*o.
-3*(o - 4)*(o - 3)*(o - 1)/2
Let i(b) be the first derivative of -2*b**3/33 + 78*b**2/11 - 3042*b/11 - 106. Factor i(z).
-2*(z - 39)**2/11
Let z = -2 - -44. Find x such that 44 + 183*x**2 - 128*x - 232*x + 3*x**4 + 64 - z*x**3 + 108*x = 0.
1, 6
Suppose 4*z = -8 - 12. Let u = z - -9. Solve -9*k**2 - 2*k**2 - 4*k - k**2 - 12*k**3 - 4*k**u = 0 for k.
-1, 0
Let k(t) be the second derivative of t**6/10 - 3*t**5/4 - 7*t**4/4 + 5*t**3/2 + 9*t**2 - 35*t - 1. Factor k(p).
3*(p - 6)*(p - 1)*(p + 1)**2
Let m = -139 + 699/5. Suppose 21 - 32 = -r + y, -198 = -5*r + 18*y. Let r - 1/5*g - m*g**2 = 0. Calculate g.
-1/4, 0
Find s such that -7/2*s**2 + 1 + 1/2*s + 1/2*s**4 + s**5 - 7/2*s**3 = 0.
-1, 1/2, 2
Let g be 48/280 + -6 + 6. Let f(t) be the first derivative of 0*t + 4/7*t**2 + 1/14*t**4 - 16/21*t**3 - 8 + g*t**5. Solve f(n) = 0.
-2, 0, 2/3, 1
Let g(o) = -2*o. Let a(f) = f**2 + 31*f - 28. Let d(n) = -a(n) - 2*g(n). Find v, given that d(v) = 0.
-28, 1
Let f(j) be the third derivative of -j**5/20 + 7*j**4/4 - 49*j**3/2 - 2*j**2 + 96*j. Factor f(n).
-3*(n - 7)**2
Let g(m) = m + 3. Let z(x) = x**2 - 74*x + 57. Let c(p) = 12*g(p) + 3*z(p). Factor c(s).
3*(s - 69)*(s - 1)
Let l(u) be the second derivative of u**7/14 - 16*u**6/45 + 2*u**5/15 + 41*u**3/6 - 11*u. Let w(f) be the second derivative of l(f). What is q in w(q) = 0?
0, 2/15, 2
Suppose 6*j = 10*j - 16. Let q be (8/(-14))/(j*1/(-14)). Determine y so that 3/2*y**4 + 0*y - 1/2*y**5 - 7/2*y**q + 2 + 1/2*y**3 = 0.
-1, 1, 2
Let p(a) = 7*a**3 + 12*a**2 - 33*a + 23. Let u(w) = 13*w**3 + 24*w**2 - 67*w + 45. Let f(h) = 5*p(h) - 3*u(h). Factor f(r).
-4*(r - 1)**2*(r + 5)
Let l(d) be the second derivative of d**7/168 - d**6/30 + 3*d**5/40 - d**4/12 + 2*d**3 - 5*d. Let j(w) be the second derivative of l(w). Factor j(z).
(z - 1)**2*(5*z - 2)
Let c(n) = -2*n**2 + 6*n + 12. Let v = -35 - -27. Let q(k) = k + 1. Let g(m) = v*q(m) + c(m). Suppose g(t) = 0. What is t?
-2, 1
Let z(v) be the second derivative of -v**5/150 - v**4/120 + 3*v**2 - 13*v. Let q(a) be the first derivative of z(a). Suppose q(r) = 0. What is r?
-1/2, 0
Let x be 1 + -11 - 4/2. Let g = x + 14. Factor -3*f**2 + 0*f + 2*f - f**2 + g*f**3.
2*f*(f - 1)**2
Suppose -31*l + 28*l - 4*w = 6, -2*l + 2*w = -10. Factor 4/5*s - 14/5*s**l + 18/5*s**3 + 2/5*s**5 + 0 - 2*s**4.
2*s*(s - 2)*(s - 1)**3/5
Let c(u) be the first derivative of 5*u**4/12 - 10*u**3/3 + 10*u**2 - 22*u + 19. Let d(o) be the first derivative of c(o). Factor d(y).
5*(y - 2)**2
Determine b so that 11669 + 29*b**2 - 5269 - 28*b**2 + 160*b = 0.
-80
Let n(v) be the first derivative of 2*v**3/21 + 30*v**2/7 - 111. Find l such that n(l) = 0.
-30, 0
Let x be (-6)/(-56)*((-1392)/(-18))/29. Let g = 6 - 3. Factor 4/7 - 26/7*r**g - 18/7*r**2 + x*r - 10/7*r**4.
-2*(r + 1)**3*(5*r - 2)/7
Let g(o) be the third derivative of 0*o**5 + 6*o**2 + 0*o**3 + 0*o**4 - 1/150*o**6 + 0*o + 0. Let g(m) = 0. Calculate m.
0
Let b be 2 - (-6 + 11 - 24). Suppose -33 = -4*d - b. Find y, given that -25/3*y**2 + 20/3*y**d + 0 - 5/3*y**4 + 10/3*y = 0.
0, 1, 2
Let g = 293 + -291. Suppose a + 3*a = -3*p + 41, -2*p - 38 = -2*a. Suppose -a*z**3 + 3*z**2 + 4*z + 5*z**g + 18*z**3 = 0. Calculate z.
-1, 0
Let m = 1627 - 1624. Solve 0*v + 3/2*v**4 + 0 - 3/4*v**m - 3/4*v**2 = 0 for v.
-1/2, 0, 1
Let y(b) = -17*b**3 + 27*b**2 + 17*b - 13. Let h(c) = -8*c**3 + 13*c**2 + 8*c - 7. Let p(o) = 7*h(o) - 3*y(o). What is u in p(u) = 0?
-1, 1, 2
Solve 6/5*k**3 + 58/5*k + 24/5 - 8*k**2 = 0.
-1/3, 3, 4
Let d(z) = 2*z**2 + 4*z + 14. Let p(j) = -4*j**2 - 5*j - 29. Let f(s) = -11*d(s) - 6*p(s). Solve f(k) = 0.
2, 5
Let u(r) be the third derivative of -1/480*r**6 + 1/16*r**4 + 1/160*r**5 + 1/2*r**3 + 0 + 0*r - 3*r**2. Let h(f) be the first derivative of u(f). Factor h(b).
-3*(b - 2)*(b + 1)/4
Suppose -10*s + 18 = 3*v - 13*s, -15 = -2*v + 3*s. Solve -27/5*a**4 - 27/5 - 3/5*a**5 - 18*a**v - 138/5*a**2 - 99/5*a = 0 for a.
-3, -1
Let p(i) = -574*i**2 + 21 + 4*i - 4*i - 4*i + 570*i**2. Let f(w) = -28*w**2 - 28*w + 148. Let t(b) = 3*f(b) - 20*p(b). Let t(c) = 0. Calculate c.
-3, 2
Let b = -2765 - -2765. Let d(w) be the second derivative of 1/3*w**3 + 3/10*w**5 + 1/2*w**4 - 8*w + 1/9*w**2 + b. Factor d(h).
2*(3*h + 1)**3/9
Let w = -188 + 348. Let o = -158 + w. What is i in -4/15*i - 2/15*i**o - 2/15 = 0?
-1
Let o = 225/166 - -12/83. Let z be 225/(-40)*(-8)/6. Suppose 0 + z*p**5 - 18*p**4 + 18*p**2 - o*p**3 - 6*p = 0. What is p?
-1, 0, 2/5, 1, 2
Determine h so that -2/3*h**3 + 6*h**2 + 14*h + 22/3 = 0.
-1, 11
Suppose 227*f + 140 = 229*f. Let z = 70 - f. Find k, given that -7/10*k**4 + 1/5*k**3 + z + 1/2*k**5 + 0*k + 0*k**2 = 0.
0, 2/5, 1
Let q = -53192/3 - -17731. Factor 0 - u**4 - q*u**2 - 1/3*u**5 + 0*u - u**3.
-u**2*(u + 1)**3/3
Let f = 1288/65 - 255/13. Factor -6/5 + f*m + 1/5*m**2.
(m - 2)*(m + 3)/5
Let l = -15/196 - -859/980. Suppose -l*y**2 - 196/5 + 56/5*y = 0. What is y?
7
Let v be 7/(-18) + 1/2 - 117316/(-25020). Factor v*y - 72/5 - 2/5*y**2.
-2*(y - 6)**2/5
Let w = -30857 + 30857. Let 0*m**2 + 1/4*m**4 + w + m - 3/4*m**3 = 0. What is m?
-1, 0, 2
Let q(c) = c + 19. Let s be q(-15). Suppose 0 = 2*g - s*g + 6. Suppose 3*k - k**4 - 3*k**3 - 3*k**4 + k**4 + 0*k**g + 3*k**2 = 0. Calculate k.
-1, 0, 1
Let c(i) = i**2 + 18*i + 53. Let x be c(-23). Let k = x - 166. Let -2/3*t**k - 2*t - 4/3 = 0. What is t?
-2, -1
Let m(n) be the third derivative of 1/20*n**5 - 1/6*n**3 + 3*n**2 + 0*n + 1/120*n**6 + 0 - 3/8*n**4. Let y(q) be the first derivative of m(q). Factor y(v).
3*(v - 1)*(v + 3)
Let c = 1493/5103 + -5/729. Let 2/7*n**3 + 6/7*n**2 + 6/7*n + c = 0. Calculate n.
-1
Let i(f) be the third derivative of -2*f**7/105 - 3*f**6/10 - 22*f**5/15 + 64*f**3/3 - 81*f**2 + f. Factor i(p).
-4*(p - 1)*(p + 2)*(p + 4)**2
Let n(y) = 5*y**2 - 24*y - 25. Let z(b) = -5*b**2 + 25*b + 25. Suppose 3*a - 3*x + 10 = -8, -2*x = a. Let j(k) = a*z(k) - 5*n(k). Solve j(l) = 0 for l.
-1, 5
Let p(l) be the third derivative of 0*l**3 + 1/30*l**6 + 1/2*l**4 - 13*l**2 + 0 - 4/15*l**5 + 0*l. Factor p(c).
4*c*(c - 3)*(c - 1)
Let u be (-1)/(-1) - (-4 - -4)/(-5). Factor 12*p - 1 + 0*p**2 + u + 3*p**2.
3*p*(p + 4)
Let p(j) be the third derivative of j**6/1320 - j**5/330 - 13*j**4/264 - 5*j**3/33 + 2*j**2 + 152. Factor p(t).
(t - 5)*(t + 1)*(t + 2)/11
Let y(r) be the third derivative of -r**10/1058400 + r**9/141120 - 7*r**5/20 + 18*r**2. Let a(l) be the third derivative of y(l). Factor a(p).
-p**3*(p - 3)/7
Let r be (-2)/17 - (-2592)/1224. Determine u so that 12/5 - 2/5*u**r + 2/5*u = 0.
-2, 3
Let r(y) = -y**3 - 8*y**2 + 11*y + 18. Let j be r(-9). Factor 4*p**5 + j*p - 16*p**3 + 4*p**3 + 0*p - 8*p**2.
4*p**2*(p - 2)*(p + 1)**2
Let f be (3 + 0)/((9/21)/3). Let g be ((-14)/f)/((-21)/6 - -3). Factor -2/3*m - 2/3*m**3 + g*m**2 + 0.
-2*m*(m - 1)**2/3
Let y = -211719/10 + 21172. What is o in 0 - y*o + 1/5*o**3 - 1/10*o**2 = 0?
-1/2, 0, 1
Let k(q) = 12*q**5 - 3*q**4 - q**3 - 19*q**2 + 11*q - 11. Let s(m) = -m**5 + m**4 + m**2 - m + 1. Let t(g) = -2*k(g) - 22*s(g). Let t(u) = 0. What is u?
-8, -1, 0, 1
Let o be 0/4*(0 + (-2)/(-4)). Let t(r) be the third derivative of 6*r**2 + 0*r**3 + 0 + 0*r**4 - 1/90*r**5 + o*r. Factor t(h).
-2*h**2/3
Let s(i) be the first derivative of i**9/4536 + i**8/840 + i**7/420 + i**6/540 - 2*i**3 + 12. Let d(k) be the third derivative of s(k). Factor d(m).
2*m**2*(m + 1)**3/3
Let u be ((-3)/14)/((-27)/36). Suppose -2*a + 3 = -q, 8*q + 11 = -13. Factor 2/7*t + u*t**2 + a.
2*t*(t + 1)/7
Let m(b) be the third derivative of b**6/480 + b**5/30 + 19*b**4/96 + b**3/2 - 2*b**2 - 16*b. What is w in m(w) = 0?
-4, -3, -1
Let r = 2171/28 + -309/4. Let -6/7*p**2 + 4/7*p**4 + 2/7 + r*p**3 - 2/7*p = 0. What is p?
-1, 1/2, 1
Factor -6*l**2 + 50 + 54 + 2*l**2 - 100*l.
-4*(l - 1)*(l + 26)
Let j(r) = -r**2 - 9*r + 3. Let f be j(-9). Suppose -4*v = -2*v - f*i + 1, -5 = v - 3*i. Suppose -7*b**3 + 5*b**v - 2*b**3 - 11*b**4 - 3*b**2 = 0. What is b?
-1, -1/2, 0
Let t(o) be the second derivative of 0 + 0*o**2 - 1/3*o**3 + 42*o - 1/6*o**4. Let t(a) = 0. What is a?
-1, 0
Find r, given that 2*r**3 - 100*r + 114*r - 18*r**2 + 36 - 2*r**2 = 0.
-1, 2, 9
Let m be 2/