e v(-1). Let o(l) be the third derivative of 0*l**h + 1/8*l**4 - 3/20*l**5 + 0 - 14*l**2 + 0*l. Solve o(i) = 0 for i.
0, 1/3
Let b(a) be the first derivative of a**6/36 + 7*a**5/3 + 1225*a**4/24 + 3882. Solve b(m) = 0.
-35, 0
Let t = 301 + -297. Factor 18*o**3 + 18*o - 4*o**3 + 25*o**2 - o**t - 8*o**3.
-o*(o - 9)*(o + 1)*(o + 2)
Let a(w) be the first derivative of -5*w**4/8 + 53*w**3/6 + 11*w**2/2 + 2179. Determine i, given that a(i) = 0.
-2/5, 0, 11
Let i(p) = -p**3 - 12777*p**2 + 10863009*p - 3081475279. Let f(z) = z**3 + 2*z**2 + z + 4. Let r(j) = -6*f(j) - i(j). Factor r(h).
-5*(h - 851)**3
Let h = -199668 + 602140/3. Find i, given that -1/3*i**2 - 112/3*i - h = 0.
-56
Find j such that -13*j**3 - 816 + 1060*j**2 - 69*j**2 - 183*j**2 + 57*j**3 + 764*j**2 + 2560*j = 0.
-34, -2, 3/11
What is i in -543/7*i - 3/7*i**3 - 468/7 - 78/7*i**2 = 0?
-13, -12, -1
Factor 0 - 2/5*f**2 + 148/5*f.
-2*f*(f - 74)/5
What is k in -60 + 103/2*k - 45/4*k**2 + 1/4*k**3 = 0?
2, 3, 40
Let y(z) = -z**3 - z - 2. Let m = -175 - -170. Let a(k) = 7*k**4 - 13*k**3 + k**2 - 5*k - 10. Let t(o) = m*y(o) + a(o). Factor t(w).
w**2*(w - 1)*(7*w - 1)
Let n be ((-76)/(-20))/(306/(-1020)*(8/3)/(-1)). Let m be (-3 + 42/(-4))/(-3). Factor -m*s**2 + n*s - 1/4.
-(s - 1)*(18*s - 1)/4
Let m(r) be the third derivative of 19*r**8/896 + 15*r**7/112 + 11*r**6/32 + 7*r**5/16 + 15*r**4/64 - r**3/16 + 58*r**2. Factor m(b).
3*(b + 1)**4*(19*b - 1)/8
Let s(d) be the first derivative of 3*d**4/4 - 16*d**3 + 87*d**2/2 + 390*d - 1658. Factor s(c).
3*(c - 13)*(c - 5)*(c + 2)
Let t = 784/5 + -156. Let r(h) = -2*h**3 + 4*h**2 + 67*h + 64. Let z be r(-1). Solve -8/5*y**2 + 8/5*y**z + 4/5 - t*y + 4/5*y**4 - 4/5*y**5 = 0 for y.
-1, 1
Suppose -45 = -4*n + 11. Suppose 2*q + n*q = 32. Let 16/7 + 2/7*r**3 - 8/7*r - 4/7*r**q = 0. What is r?
-2, 2
Factor 2/11*a**3 - 280/11*a + 0 - 26/11*a**2.
2*a*(a - 20)*(a + 7)/11
Let c(t) be the first derivative of -t**6/3 - 18*t**5/5 - 29*t**4/2 - 86*t**3/3 - 30*t**2 - 16*t + 2570. Factor c(l).
-2*(l + 1)**3*(l + 2)*(l + 4)
Let l(z) be the third derivative of 2*z**7/15 + 167*z**6/15 + 1193*z**5/5 - 4900*z**4/3 + 5000*z**3/3 + 156*z**2. Solve l(h) = 0 for h.
-25, 2/7, 2
Let o(c) be the third derivative of c**6/1260 + c**5/35 + 3*c**4/7 + 24*c**3/7 - 1931*c**2. Factor o(k).
2*(k + 6)**3/21
Let s = 474/55 - 2988/385. Solve 9/7*b**2 + 24/7*b + 12/7 - s*b**3 - 3/7*b**4 = 0 for b.
-2, -1, 2
Let z(r) = -15*r**2 - 10*r. Suppose 14*i - 10*i = -20. Let v(q) = -q**3 + 14*q**2 + 9*q - 2. Let w(g) = i*v(g) - 4*z(g). Factor w(j).
5*(j - 2)*(j - 1)*(j + 1)
Let r(n) be the first derivative of 0*n + 9/8*n**4 + 58 + n**3 - 1/8*n**6 - 3*n**2 - 3/20*n**5. Solve r(g) = 0.
-2, 0, 1, 2
Let l(p) = -85*p**2 - 8*p - 7. Let t(f) = 80*f**2 + 7*f + 6. Let c(m) = -6*l(m) - 7*t(m). Determine n, given that c(n) = 0.
-1/50, 0
Let t = 17730 - 124098/7. Factor -12/7 + 3/7*k**2 + 3/7*k**3 - t*k.
3*(k - 2)*(k + 1)*(k + 2)/7
Let k(d) = -7*d**3 + 152*d**2 - 5925*d - 6147. Let b(n) = -2*n**3 - n**2 + n - 21. Let c(x) = 15*b(x) - 5*k(x). Factor c(o).
5*(o - 78)**2*(o + 1)
Let s = 209077 - 209074. Factor -1/4*z**4 + 5/4*z**2 + 0*z + 0 + z**s.
-z**2*(z - 5)*(z + 1)/4
Factor 14*y - 52/9 + 10/9*y**2.
2*(y + 13)*(5*y - 2)/9
Let c be (12 - 24) + 87/(10/5 - -5). Solve -16/7*p + c*p**3 - 5/7*p**2 + 12/7 = 0.
-2, 2/3, 3
Let l(q) = -32 + 8*q - 27 + 54. Let h be l(7). Find k, given that -53*k**5 + 2*k - 3*k + h*k**5 + 4*k**3 - k = 0.
-1, 0, 1
Let c(x) be the second derivative of -x**9/5040 - x**8/1120 - 9*x**4/4 - 7*x. Let s(m) be the third derivative of c(m). Factor s(d).
-3*d**3*(d + 2)
Let o(g) be the second derivative of g**7/3360 + g**6/144 + g**5/15 + g**4/3 + 71*g**3/6 - 7*g + 26. Let l(x) be the second derivative of o(x). Factor l(k).
(k + 2)*(k + 4)**2/4
Factor -6*q**3 - 83*q**2 + 44 + 51*q**3 + 28*q**2 - 45*q - 20 + 5*q**4 + 26.
5*(q - 1)**2*(q + 1)*(q + 10)
Let t(n) be the second derivative of n**7/14 + 43*n**6/5 - 261*n**5/20 - 4736*n. Determine r so that t(r) = 0.
-87, 0, 1
Let r be (-16)/(-384)*-6 + 45/20. Let c(v) be the first derivative of 28/3*v**3 - 22*v**r + 20*v + 18 - v**4. Factor c(l).
-4*(l - 5)*(l - 1)**2
Suppose 76*c + 12*c = 154*c - 132. Find d, given that -48/19*d - 290/19*d**4 - 508/19*d**3 + 0 - 50/19*d**5 - 280/19*d**c = 0.
-3, -2, -2/5, 0
Suppose 305 + 5599 = 4661*d + 971*d - 5360. Factor 17956/3 + 4/3*b**d + 536/3*b.
4*(b + 67)**2/3
Let w = 2477/85 + -492/17. Let x(f) be the second derivative of 0 - 3/100*f**5 + 0*f**2 + w*f**3 + 1/20*f**4 - 3*f. Factor x(o).
-3*o*(o - 2)*(o + 1)/5
Determine m, given that 23/4 + 35/4*m**4 - 51/2*m**2 - 71/8*m - 7/4*m**3 - 3/8*m**5 = 0.
-1, 1/3, 2, 23
Let v = 6671 + -80047/12. Let r(z) be the third derivative of 0*z**3 + 31*z**2 + 0*z + 0 + v*z**4 + 1/60*z**6 - 1/5*z**5. Factor r(t).
2*t*(t - 5)*(t - 1)
Let a(x) be the third derivative of x**5/150 + 2*x**4/15 + 16*x**3/15 + 907*x**2. Factor a(w).
2*(w + 4)**2/5
Let d be 7 + -2 + 5945/(-1218) + (-3)/(-18). Determine g, given that -8/7*g - d*g**2 - 6/7 = 0.
-3, -1
Let f(j) = -j + 9. Let x(w) = -w**2 + 15*w + 6. Let s be x(15). Let v be f(s). Factor -31 + 26*b - 6*b**2 + 10*b + v*b**2 - 77.
-3*(b - 6)**2
Let m(k) be the second derivative of -49*k**5/5 + 889*k**4/3 - 1936*k**3/3 + 544*k**2 - 4*k + 29. Determine f so that m(f) = 0.
4/7, 17
Factor 0 - 5/6*p**4 - 25/6*p**3 + 10*p + 20/3*p**2.
-5*p*(p - 2)*(p + 1)*(p + 6)/6
Let j(u) be the third derivative of u**8/168 + 2*u**7/15 + 5*u**6/4 + 97*u**5/15 + 61*u**4/3 + 40*u**3 - 1132*u**2. Factor j(s).
2*(s + 2)**3*(s + 3)*(s + 5)
Let p(d) = -5*d**4 + 3*d**3 - 19*d**2 + 21*d - 6. Let s(g) = -11*g**4 + 7*g**3 - 39*g**2 + 43*g - 13. Let a(i) = -13*p(i) + 6*s(i). Factor a(f).
-f*(f - 5)*(f - 1)*(f + 3)
Let m(r) be the first derivative of -r**6/45 + r**5/15 + r**4/9 + 13*r**2/2 - 4*r - 102. Let v(p) be the second derivative of m(p). Factor v(q).
-4*q*(q - 2)*(2*q + 1)/3
Determine x so that -115*x + 23*x**4 + 16685*x**3 - 31*x**2 + 8*x**2 + x**5 - 8282*x**3 - 8284*x**3 - 5*x = 0.
-15, -8, -1, 0, 1
Suppose v = 4*z - 2*v - 8, 0 = -2*v + 8. Suppose 10*f**2 - 31*f + 31*f - 4*f**z + 15*f**3 - f**5 = 0. What is f?
-1, 0, 2
Let f(c) be the third derivative of 0*c + 5/4*c**3 - 19*c**2 - 2 + 3/32*c**4 - 1/80*c**5. Suppose f(n) = 0. What is n?
-2, 5
Suppose -3*p + 39 = 4*g, 3*g + 9 = 795*p - 793*p. Let 30/11 - 2/11*k**g - 14/11*k**2 - 14/11*k = 0. Calculate k.
-5, -3, 1
Let l(n) be the third derivative of 6 + 0*n**3 + 1/600*n**6 + 2/75*n**5 + 0*n + 7*n**2 + 7/120*n**4. Let l(k) = 0. What is k?
-7, -1, 0
Let f = 31 - 28. Suppose -f*d + 9 + 4 = 4*n, 5*n = -3*d + 14. Solve -376*p**2 + 12 + 607*p**2 - 30*p + 126*p + 147*p**d = 0 for p.
-1, -2/7
Let h be (-26)/(-36)*387/3354. Let l(m) be the first derivative of -1/16*m**4 + h*m**3 - 20 - 1/4*m + 1/8*m**2. Factor l(a).
-(a - 1)**2*(a + 1)/4
Suppose -63 - 102 = -11*p. Factor -5*c - 2 - p*c + 28 - 3 + 9 + 2*c**2.
2*(c - 8)*(c - 2)
Suppose 813*h = 815*h + 5*n + 46, -h + n = -12. Determine x so that -24*x**h + 123/2*x**4 - 75/2 + 159*x**3 - 165*x + 6*x**5 = 0.
-5, -1, -1/4, 1
Let y(c) = -c**3 - 8*c**2 + 8*c - 5. Let m be y(-9). Suppose -5*k + 2*o + 10 = 3*o, m = 2*k - 4*o. Factor -n**k + 4 + 0*n**2 - 2*n**2 - 1.
-3*(n - 1)*(n + 1)
Let m(o) be the third derivative of -14*o**7/15 + 49*o**6/10 - 94*o**5/15 - 2*o**4 + 16*o**3/3 - 1685*o**2. Suppose m(v) = 0. Calculate v.
-2/7, 2/7, 1, 2
Let m = 230176/10821 - -224/3607. Factor -m*y + 2/3*y**4 - 16/3*y**3 + 16*y**2 + 32/3.
2*(y - 2)**4/3
Let y(r) = -8*r**3 + 3*r**2 - r - 7. Let x be y(-2). Let x*z**2 + 0 + 0 - 70*z - 66*z**2 = 0. Calculate z.
0, 14
Let x(p) = 2*p**3 - 17*p**2 + 6*p + 15. Let f be x(8). Let n(u) = u**2 - 4. Let i(j) = -j - 2. Let d(m) = f*n(m) + 4*i(m). What is w in d(w) = 0?
-2
Suppose -x + 66 - 172 = 3*n, -4*n + 587 = -5*x. Let p be (-2)/(-8) + x/(-20). Factor -9*y**2 - 2*y**2 + 5 + p*y**2.
-5*(y - 1)*(y + 1)
Let u(f) = -f**2 - 45*f + 80. Let a(q) = 46*q - 84. Let w(h) = -5*a(h) - 4*u(h). Factor w(o).
2*(o - 10)*(2*o - 5)
Suppose 16 = -8*z + 10*z. Suppose -o + z = -10. Factor 2*f - 8*f**2 - 9*f**2 - 3 + o*f**2.
(f - 1)*(f + 3)
Let p(k) be the third derivative of -k**6/1620 + 7*k**5/540 + 23*k**3/2 - 2*k**2 + 20*k. Let w(o) be the first derivative of p(o). Factor w(j).
-2*j*(j