*4/4 - 5*r - 5. Let l(o) be the third derivative of h(o). Factor l(x).
2*x*(x - 4)*(x + 1)
Let m = 917 + -915. Suppose -5*o - 24 = -m*a, -4*a + 4*o + 29 - 5 = 0. Factor 0*v + 0 + 2/9*v**a.
2*v**2/9
Let x(b) be the first derivative of 34 + 75/2*b - 3/4*b**4 + 195/4*b**2 + 23*b**3 + 1/4*b**6 - 21/10*b**5. Factor x(q).
3*(q - 5)**2*(q + 1)**3/2
Suppose 5*p - 15 = 0, x + x + p = 9. Suppose -x*w + 3*v = -30, -3*w = 2*v - 25 - 5. What is n in 22*n**3 + 3 + 1 - 8 + w*n - 20*n**3 - 8*n**2 = 0?
1, 2
Suppose -39 = 117*q - 39. Let r(m) be the second derivative of 24*m + 0*m**2 + 5/4*m**4 - 3/4*m**5 + q + 5/3*m**3 - 1/3*m**6. What is g in r(g) = 0?
-2, -1/2, 0, 1
Let y(t) be the third derivative of t**7/840 - t**5/40 + t**4/12 - 35*t**3/3 - 3*t**2 + 1. Let n(o) be the first derivative of y(o). Let n(v) = 0. Calculate v.
-2, 1
Let t = -453 + 455. Let o(b) = b**3 - 5*b**2 + 7*b. Let m be o(t). Factor 2/3*s + 0*s**4 - 8/9*s**3 + 2/9*s**5 - 4/9 + 4/9*s**m.
2*(s - 1)**3*(s + 1)*(s + 2)/9
Let d be (-128)/(-18) + (63/(-6))/(561/374). Factor 10/3*w**2 + d*w**4 - 44/9*w + 8/3 - w**3.
(w - 3)*(w - 2)**3/9
Let a(n) = 26*n**3 + 23*n**2 - 35*n + 13. Let l(t) = 3*t**2 - t + 1. Let c be 3 + (-2 - 12/(-8))*42. Let z(f) = c*l(f) + 2*a(f). Factor z(j).
4*(j - 1)*(j + 1)*(13*j - 2)
Suppose 305 + 1095 = -28*d. Let a = d - -53. Let -1/2*u + 1/5 - 1/10*u**4 + 3/10*u**2 + 1/10*u**a = 0. Calculate u.
-2, 1
Let y(m) = 2*m**2 + 9*m - 10. Let c be y(-9). Let z = 73 - c. Factor 1442*i - z*i**2 + 4*i**2 - 1432*i.
2*i*(i + 5)
Let j = 371818 + -6320894/17. Determine z so that -2/17*z**3 + 6/17*z**2 + j*z - 16/17 = 0.
-2, 1, 4
Suppose 5*g - 105 + 75 = 0. Let p(u) = -4*u**2 - 6*u + 11*u + 7*u + 1 - 14. Let v(f) = 4*f**2 - 12*f + 14. Let q(i) = g*p(i) + 5*v(i). Factor q(d).
-4*(d - 2)*(d - 1)
Let r(g) be the first derivative of 14*g**5/55 - 64*g**4/11 - 158*g**3/11 - 62*g**2/11 + 80*g/11 - 719. Find f, given that r(f) = 0.
-1, 2/7, 20
Let l = 7853412/5 + -1570682. Find u, given that 12/5*u**3 + l*u**4 - 6/5*u**2 - 8*u - 24/5 = 0.
-6, -1, 2
Suppose 26 + 18 = -22*y. Let k be (32/(-72))/(y/3). Factor 14/3*w**2 + k*w**3 - 32/3 + 16/3*w.
2*(w - 1)*(w + 4)**2/3
Let u(t) = t**3 - 3*t**2 + 2*t. Let f(c) = 28*c**4 - 9184*c**3 - 15748*c**2 + 5224*c. Let n(v) = f(v) + 20*u(v). Determine a, given that n(a) = 0.
-2, 0, 2/7, 329
Let u(o) be the first derivative of -17/2*o**2 + 0*o**4 + 0*o**3 + 0*o - 1/720*o**6 + 1/180*o**5 - 6. Let d(p) be the second derivative of u(p). Factor d(f).
-f**2*(f - 2)/6
Let l = 111506/3 - 37168. Let m(t) be the second derivative of 0*t**2 + 0 + 1/6*t**4 - 43*t - l*t**3. Suppose m(n) = 0. Calculate n.
0, 2
Let x(l) be the third derivative of l**5/420 + 37*l**4/168 - 20*l**3/7 + 43*l**2 + 4*l. Factor x(a).
(a - 3)*(a + 40)/7
What is i in -254*i**2 + 50*i**2 + 103*i**2 + 27*i + 69*i**2 + i**3 + 60*i**2 = 0?
-27, -1, 0
Let q = 16 + 56. Let s = q - 68. Factor -s*a + 0*a**2 + 34 - 31 + a**2.
(a - 3)*(a - 1)
What is b in 11 - 428*b - 3*b**4 + 9*b**3 + 24*b**3 - 11 + 360*b**2 + 752*b = 0?
-6, -1, 0, 18
Let y(u) be the third derivative of u**6/30 + 2*u**5/3 + 7*u**4/2 + 12*u**3 + 7*u**2. Let c(s) = -s**2. Let t(o) = -8*c(o) - y(o). Find l such that t(l) = 0.
-3, -2
Let f(p) be the second derivative of p**6/120 - 9*p**5/40 + 5*p**4/3 + 3*p**3/4 - 81*p**2/8 + 4*p - 33. Factor f(g).
(g - 9)**2*(g - 1)*(g + 1)/4
Let p(n) be the third derivative of -n**7/525 + n**6/15 + 22*n**5/75 + 1352*n**2. Factor p(q).
-2*q**2*(q - 22)*(q + 2)/5
Let z(g) be the third derivative of -g**8/672 - g**7/15 + 79*g**6/80 - 37*g**5/15 - 35*g**4/3 + 13484*g**2. What is d in z(d) = 0?
-35, -1, 0, 4
Let h = 11 + -10. Suppose 3 + h = a. Solve -z**4 - a*z**4 - 38*z**2 - 10*z + 53*z**2 = 0 for z.
-2, 0, 1
Let g be 8 + ((-1480)/216 - 2/9). Let m(l) be the third derivative of 0 - 5/54*l**4 + 0*l - 1/270*l**5 - g*l**3 - 10*l**2. Suppose m(h) = 0. What is h?
-5
Let b = -136 - -208. Let i = -180 + 186. Let -i*l**2 + 1/3*l**3 - b + 36*l = 0. What is l?
6
Factor 324 + 332 + 145*a - 9*a**2 - 62 + 10*a**2 + 154*a.
(a + 2)*(a + 297)
Let m(d) be the first derivative of 23/2*d**4 - 94/3*d**3 - 24*d**2 + 1/3*d**6 - 32 + 22/5*d**5 + 72*d. Find i such that m(i) = 0.
-6, -1, 1
Suppose 5/4*v**3 - 421/4*v - 627/4 + 1043/4*v**2 = 0. Calculate v.
-209, -3/5, 1
Let s(l) be the second derivative of -l**10/30240 - l**9/5040 + l**7/630 + l**4/6 - l - 63. Let b(k) be the third derivative of s(k). Factor b(n).
-n**2*(n - 1)*(n + 2)**2
Suppose -2*v = -6*g + 4*g - 34, -7*v = 3*g - 79. Let x be 9/108*(v + -2 + -2). What is r in 3*r**4 + 15/4*r - 3/2 - 3/2*r**2 - 3*r**3 - x*r**5 = 0?
-1, 1, 2
Let q(l) be the first derivative of l**3/3 + 85*l**2/2 - 6781. Factor q(a).
a*(a + 85)
Factor -277167808/3 - 505/3*z**4 - 1/3*z**5 - 5637355/3*z**2 - 74393200/3*z - 87595/3*z**3.
-(z + 8)**2*(z + 163)**3/3
Let w(n) be the first derivative of n**3/2 - 1071*n**2/2 + 382347*n/2 + 3610. Let w(a) = 0. What is a?
357
Suppose q = 5*z + 830, 0 = -0*z - 5*z - 4*q - 805. Let y be -1 - (z/(-22) - 9). Factor -2*d**3 - 1/2 - y*d**4 - 2*d - 3*d**2.
-(d + 1)**4/2
Let a(s) be the second derivative of -1/30*s**4 + 0 + 45*s - 1/50*s**5 + 0*s**2 + 2/15*s**3. Solve a(b) = 0 for b.
-2, 0, 1
Let q(g) be the second derivative of 5/6*g**3 + 0*g**2 + 1/18*g**4 + 0 - 7*g + 1/72*g**5 + 1/1080*g**6. Let a(u) be the second derivative of q(u). Factor a(h).
(h + 1)*(h + 4)/3
Let o(p) be the third derivative of -p**7/210 - 31*p**6/60 - 29*p**5/15 + 31*p**4/3 + 80*p**3 + 50*p**2 - 79. Suppose o(j) = 0. What is j?
-60, -2, 2
Let t(l) = l**3 + 9*l**2 - l - 7. Let k(q) = -q**2 + 6*q - 14. Let s be k(5). Let r be t(s). Factor -6*x**4 + 6*x**r - 5*x**5 + x**5 - x**5 + 2*x**5 + 3*x.
-3*x*(x - 1)*(x + 1)**3
Let y = 1837/690 - -1/230. Let s = 55142 + -55140. Factor -y*n - 8/3 - 2/3*n**s.
-2*(n + 2)**2/3
Let b(z) = -7*z + 37. Let x be b(5). Solve 24*s**3 - 158 - 2586 - 25*s**3 - 42*s**x - 588*s = 0 for s.
-14
Suppose 6 = 4*u - 10. Let d be (-119)/(-34)*-2 - (4 + -11 - 3). Factor -8/3*j - 2/3*j**u - 8/3*j**d - 2/3 - 4*j**2.
-2*(j + 1)**4/3
Let l = -98536 + 98539. Solve r**l + 0*r + 0 + 4*r**2 + 1/2*r**5 - 5/2*r**4 = 0 for r.
-1, 0, 2, 4
Let t be ((-18810)/247)/15 + 4/((-3)/24*-4). Factor -16/13*f**2 + 2/13*f**3 - 24/13 + t*f.
2*(f - 4)*(f - 3)*(f - 1)/13
Let z(x) = x**3 + 8*x**2 - 10*x - 6. Let w be z(-9). Solve 5*y**w + 4*y**2 - 7 - 13 + 5 - 29*y**2 + 35*y = 0.
1, 3
Let h be (297/22 + -16)*(0 + (-6)/5). Let g(v) be the first derivative of 1/3*v**h + 30 + 25*v + 5*v**2. Determine d so that g(d) = 0.
-5
Let p(h) be the first derivative of 4/5*h**5 + 0*h - 50 + 1/3*h**6 - 3/2*h**4 - 4*h**2 - 16/3*h**3. Factor p(d).
2*d*(d - 2)*(d + 1)**2*(d + 2)
Let i be (-300)/(-112) - -2 - (74 - 79 - (-52)/16). Factor i*k**3 - 81/7*k**2 - 3/7*k**4 + 0 + 39/7*k.
-3*k*(k - 13)*(k - 1)**2/7
Let y(s) be the first derivative of -s**4/16 - 157*s**3/12 - 95*s**2 - 426. Find g such that y(g) = 0.
-152, -5, 0
Let k = -8/21 + 18/35. Let y(g) be the second derivative of 0*g**2 - 1/5*g**5 - k*g**6 - g + 2/21*g**7 + 1/3*g**4 + 0 + 0*g**3. Factor y(v).
4*v**2*(v - 1)**2*(v + 1)
Let l(u) be the third derivative of -u**6/280 - 3*u**5/5 - 1485*u**4/56 - 3751*u**3/7 + u**2 - 1988. Suppose l(j) = 0. Calculate j.
-62, -11
Let f(l) be the first derivative of l**4/18 + 3530*l**3/27 + 196*l**2 + 9938. Factor f(m).
2*m*(m + 1)*(m + 1764)/9
Let w(n) = n**2 + 21*n - 1602. Let y be w(-52). Let x(v) be the first derivative of 0*v + 1/2*v**2 - 1/6*v**3 - y. Factor x(u).
-u*(u - 2)/2
Let l(z) = -z**2 + 7*z - 8. Let p be l(5). Suppose -3*q + 5*u - 6 = -p, 0 = 4*q - 5*u - 3. What is y in 0*y**2 - y**3 + q*y**2 - 5*y**2 = 0?
0, 2
Factor 33/8*v**3 + 1/8*v**4 + 287/2*v + 171/4*v**2 + 147.
(v + 2)*(v + 3)*(v + 14)**2/8
Let a be 0 - ((-4188)/(-838) + 1*-5). Let u = a - -1663/5447. Let 0*y**4 + 2/13*y**5 - u*y**2 - 8/13*y**3 + 4/13 + 6/13*y = 0. What is y?
-1, 1, 2
Let m be 10/(-195) + 8/156. Let t(d) be the third derivative of -26*d**2 + 0 + 0*d**3 - 1/120*d**5 - 1/12*d**4 + m*d. Suppose t(y) = 0. What is y?
-4, 0
Let f(i) be the second derivative of 2*i**6/15 + 2*i**5 + 12*i**4 + 112*i**3/3 + 64*i**2 + 3622*i. Solve f(d) = 0.
-4, -2
Let l(z) be the first derivative of -z**5 + 10*z**2 + 0*z - 5*z**4 - 63 + 5/3*z**3. Factor l(p).
-5*p*(p - 1)*(p 