(-24))/((-1)/(-1))). Let o(p) be the first derivative of c*p**5 + 0*p - 2*p**2 - 7*p**4 + 20/3*p**3 + 21. Factor o(l).
4*l*(l - 1)**2*(3*l - 1)
Let o = -102425 + 307291/3. Solve -4*y**2 + o*y - 4/3*y**3 + 0 = 0.
-4, 0, 1
Let q = 53483 - 53481. Let -73/2*b**q - 3 - 47/2*b**3 - 41/2*b - 9/2*b**4 = 0. Calculate b.
-3, -1, -2/9
Let h(n) be the second derivative of -8/3*n**3 - 2/15*n**6 + 160*n**2 - 232 - 20*n**4 - n + 23/5*n**5. Solve h(a) = 0 for a.
-1, 2, 20
Suppose 2*w = -4*v + 34, 3*w = v + 4*v + 40. Suppose -4*n + 9*n = w. Factor -7*q**4 - 4*q**3 + 6*q**3 + 16*q**2 - 7*q**n - 4*q.
-q*(q - 1)*(q + 2)*(7*q - 2)
Let l be (9/(-18))/(((-6)/116)/3). What is j in 24*j**2 - 22*j**2 - l*j + 29*j + 2*j**3 = 0?
-1, 0
Suppose -18*z - 85 = -35*z. Factor 112 - 2*k**2 + z*k**2 + 0*k**2 + k**2 + 11*k + 33*k.
4*(k + 4)*(k + 7)
Let b(x) be the first derivative of 61 + 1/8*x**6 - 3/16*x**4 - 9/2*x**2 - 11/4*x**3 - 3*x + 9/20*x**5. Factor b(q).
3*(q - 2)*(q + 1)**3*(q + 2)/4
Let x = -184755/7 + 26399. Solve 8/7 - x*h**2 + 16/7*h + 2*h**3 = 0 for h.
-2/7, 1, 2
Let t = -169 + 172. Find o such that -76*o**2 + o**5 + 66*o + 244*o**3 - 20 - 212*o**t - 3*o**5 = 0.
-5, 1, 2
Solve 20/3*w**4 + 44/3*w + 0 + 1/3*w**5 - 15*w**3 - 20/3*w**2 = 0.
-22, -1, 0, 1, 2
Let m(z) be the first derivative of -27/2*z**2 - 26 + 1/2*z**4 - 3/40*z**5 + 3/4*z**3 + 28*z. Let w(j) be the first derivative of m(j). Factor w(h).
-3*(h - 3)**2*(h + 2)/2
Let j(r) = 1845*r - 36896. Let z be j(20). Let d = 2/133 - -927/266. Let q**3 - 3/2*q**z + d*q**2 + 0 + q = 0. What is q?
-1, -1/3, 0, 2
Let f(q) be the third derivative of q**8/84 + 22*q**7/105 + 19*q**6/30 + 3*q**5/5 + 191*q**2 + 1. Factor f(u).
4*u**2*(u + 1)**2*(u + 9)
Let -15*w**3 - 417*w + 10 - 6*w**2 + 78*w**2 + 5*w**3 + 512 + 13*w**3 = 0. What is w?
-29, 2, 3
Let b(a) be the third derivative of 0 - 50*a**2 + 0*a - 1/160*a**5 + 0*a**3 - 1/16*a**4. Let b(k) = 0. What is k?
-4, 0
Factor -868 + 45*f**3 + 1742 + 55*f - 874 - 105*f**2 + 5*f**4.
5*f*(f - 1)**2*(f + 11)
Let z(j) be the first derivative of -4*j**5/5 + 9*j**4 + 16*j**3 - 40*j**2 + 664. Solve z(b) = 0 for b.
-2, 0, 1, 10
Let s(d) = -d**4 + d**3 + d**2 + 1. Let c = 39 - 38. Let u(t) = -2*t**4 - 3*t**3 - t**2 + 4*t + 4. Let b(w) = c*s(w) - u(w). Factor b(p).
(p - 1)*(p + 1)**2*(p + 3)
Let i be (1/(-2))/(5165/(-24792)). Factor i - 14/5*z + 16/15*z**2 - 2/15*z**3.
-2*(z - 3)**2*(z - 2)/15
Let v be (-1280258)/(-570) - 1/15. Let s = v + -2243. Find o such that -350/3*o**5 + 188*o**s + 0 - 290*o**4 + 56/3*o**2 - 16*o = 0.
-3, -2/7, 0, 2/5
Suppose -2*p = -10*p + 8. Let u be 936/2080 + ((-4)/(-5) - p). Factor -u*g + 0 + 11/8*g**2 - 2*g**3 + 7/8*g**4.
g*(g - 1)**2*(7*g - 2)/8
Suppose 73*h = -63*h + 126*h. Let r(q) be the third derivative of 0*q + 1/350*q**7 + 1/120*q**4 - 4*q**2 - 1/600*q**6 + h*q**3 + 0 - 1/100*q**5. Factor r(o).
o*(o - 1)*(o + 1)*(3*o - 1)/5
Let b be 2/(-4) + (-648)/(-144). Suppose 34*a**3 - 4*a**b - 6*a**4 - 24*a - 32*a**2 + 32*a = 0. What is a?
0, 2/5, 1, 2
Suppose -7 = -c - 2, 2*c + 40 = 5*v. Factor -2*n**2 - v*n**4 - 6*n**4 + 2*n**3 + 18*n**4 - 2*n.
2*n*(n - 1)*(n + 1)**2
Let x(a) be the third derivative of a**9/15120 - a**7/1260 - a**5/60 + 3*a**3/2 - a**2 - 23*a. Let d(f) be the third derivative of x(f). Factor d(g).
4*g*(g - 1)*(g + 1)
Let r = -1870 - -1874. Let l(k) be the first derivative of 0*k**2 - 4/5*k**5 + 0*k + 0*k**3 - k**r + 10. Factor l(n).
-4*n**3*(n + 1)
Let a be 95/(-2375)*(0 - 1). Let i(n) be the second derivative of 0*n**4 - 8*n + 0*n**2 + 8/15*n**3 - a*n**5 + 0. Find y such that i(y) = 0.
-2, 0, 2
Factor 8*f**2 + 23*f**2 + 48*f**2 + 296*f**3 - 2*f - 69*f**4 + 284*f**4.
f*(f + 1)*(5*f + 2)*(43*f - 1)
Let s(c) = 2*c**2 + 1470*c + 270856. Let v(f) = -f + 4. Let l(b) = -2*s(b) + 4*v(b). Find j, given that l(j) = 0.
-368
Factor -470/9*o + 472/9 - 2/9*o**2.
-2*(o - 1)*(o + 236)/9
Suppose -2/25*r**5 + 82/25*r**4 + 3648/25*r + 2232/25 + 686/25*r**2 - 646/25*r**3 = 0. Calculate r.
-1, 6, 31
Let d(w) be the first derivative of w**5/180 - w**3/2 - 79*w**2/2 - 197. Let u(b) be the second derivative of d(b). Factor u(t).
(t - 3)*(t + 3)/3
Let y be (5 + (-120)/16)*(-8)/10. Solve 25*j**4 + 189*j - 4*j**3 - 80 + 29*j**3 - 125*j**y - 389*j - 5*j**5 = 0.
-1, 4
Suppose 4*w = 5*r - 10 - 2, 6 = w + r. Factor 14*o - 20*o**3 + 5*o**w + 6*o**4 - 11*o**4 + 14*o - 8*o.
-5*o*(o - 1)*(o + 1)*(o + 4)
Let h(o) be the second derivative of 0 + 1/15*o**4 + 8/15*o**3 + 8/5*o**2 + 91*o. Factor h(w).
4*(w + 2)**2/5
Let i(u) = 1 - 16 + 16. Let b(s) = 3*s**2 + 336*s + 9390. Let z(y) = b(y) + 18*i(y). Suppose z(o) = 0. What is o?
-56
Let h(g) be the second derivative of -g**5/5 + 530*g**4/3 - 140450*g**3/3 + 13*g + 36. Let h(u) = 0. Calculate u.
0, 265
Find s such that s**3 - 1122*s**2 + 13 + 4 - s + 1105*s**2 = 0.
-1, 1, 17
Solve u**2 - 4*u**2 - 112327 + 2*u**2 - 396042 - 1426*u + 0*u**2 = 0.
-713
Let t be (200/10 + -27)*(-3)/7. Let m(w) be the third derivative of 0 - 9/80*w**6 + 2/5*w**5 + 0*w**t - 22*w**2 + 1/4*w**4 + 0*w. Factor m(g).
-3*g*(g - 2)*(9*g + 2)/2
Suppose 0 = 2*p - 2*b - 34, 5*p - 18*b + 16*b = 79. Factor -19*a**3 - 3*a - 24 + 20*a**2 - 48*a**2 + 58*a + 4*a**4 - 3*a + p*a**3.
4*(a - 2)*(a - 1)**2*(a + 3)
Let n be ((-174)/(-42))/(0 + 1) - (-6497 - -6490). Determine l so that -26/7*l**2 - n*l - 2/7*l**3 - 54/7 = 0.
-9, -3, -1
Solve 786/7*z**2 + 2/7*z**4 + 1156/7 + 1870/7*z + 74/7*z**3 = 0.
-17, -2, -1
Let n(z) be the second derivative of 2*z**6/5 - 128*z**5/5 + 203*z**4/3 + 164*z**3/3 - z + 74. Solve n(p) = 0.
-1/3, 0, 2, 41
Determine y, given that -8/13*y + 2/13*y**2 + 6/13 = 0.
1, 3
Let k = 377546 + -377544. Factor -4/3 - 1/9*l**3 - 19/9*l - 8/9*l**k.
-(l + 1)*(l + 3)*(l + 4)/9
Let a = 36261/60685 - -30/12137. Solve 1/5*p - a - 1/5*p**3 + 3/5*p**2 = 0.
-1, 1, 3
Find a such that -18/5*a**4 + 0 + 72/5*a - 2/5*a**5 - 46/5*a**3 - 6/5*a**2 = 0.
-4, -3, 0, 1
Suppose -7*s = 13*s - 1220. Suppose -10*n = -9*n - s. Factor n*z**2 - 69*z**2 - 3*z - 3*z.
-2*z*(4*z + 3)
Let h(i) be the third derivative of -i**6/180 + 19*i**5/15 - 37*i**4/3 + 440*i**3/9 + 176*i**2. Factor h(q).
-2*(q - 110)*(q - 2)**2/3
Determine g so that g**3 + 101 - 6*g**4 + 861*g - 15 - 257 - 513*g**2 + 98*g**3 - 270 = 0.
1, 3/2, 7
Factor 67*o - 69*o + 237*o + 8*o**2 + 73*o + 152.
4*(o + 38)*(2*o + 1)
Let s = 3072 + -12285/4. Let j(m) be the third derivative of -1/60*m**6 - 1/10*m**5 + 0 - 5/3*m**3 - 3*m**2 + 0*m + s*m**4. Factor j(g).
-2*(g - 1)**2*(g + 5)
Suppose -2*l = -10 - 0. Find f, given that 6*f**4 - 8*f**3 + f**5 - 3*f**l - 4 - 2*f**2 + f**5 + 9*f = 0.
-1, 1, 4
Suppose 0 = -4*p - p. Suppose p = 13*m - 16*m + 12. Solve -8*z - 2*z**2 + 5*z - 5*z + m*z = 0.
-2, 0
Let q(j) be the first derivative of -j**6/39 + 188*j**5/65 - 24*j**4 + 876*j**3/13 - 783*j**2/13 - 6506. Suppose q(r) = 0. What is r?
0, 1, 3, 87
Let d(o) be the first derivative of -24/7*o - 2/21*o**3 + 8/7*o**2 + 112. Solve d(s) = 0 for s.
2, 6
Determine q so that -442/7*q + 2/7*q**3 + 0 - 440/7*q**2 = 0.
-1, 0, 221
Let a(q) = -3*q**3 - 7*q**2 - 1. Let u be 18/12 + (-250)/(-4). Let j = u + -65. Let b(h) = h**3 + h**2 + 1. Let w(c) = j*b(c) - a(c). What is p in w(p) = 0?
-3, 0
Let z(g) = g**2 - 9*g - 2. Let n(w) = -w**2 + 9*w + 3. Let s(m) = -6*n(m) - 7*z(m). Let b be s(7). Factor k**2 - 3 + 5 + 17*k - 10*k - b*k.
(k - 2)*(k - 1)
Let o(h) be the third derivative of -11/60*h**4 - 13/150*h**5 + 2/15*h**3 + 44*h**2 + 0 + 0*h. Factor o(a).
-2*(a + 1)*(13*a - 2)/5
Let b(x) = -5*x**2 - 2*x - 17. Let y(o) = o**2 - 1. Let i be (-10 - -7 - -7) + -2. Let c(t) = i*b(t) + 14*y(t). Suppose c(n) = 0. What is n?
-3, 4
Let h = -4/4421 - -22133/30947. Let k(r) be the first derivative of -12/7*r + 12/7*r**2 - h*r**3 - 38 + 3/28*r**4. Factor k(x).
3*(x - 2)**2*(x - 1)/7
Let o(c) be the third derivative of c**7/27720 - c**5/1320 - 23*c**4/24 + 74*c**2. Let x(z) be the second derivative of o(z). Determine g so that x(g) = 0.
-1, 1
Let r be (-220)/((-4)/(-8)*-1). Let u = -436 + r. Solve 0 - 49/2*j**3 + 2*j - j**2 + 49/4*j**u = 0 for j.
-2/7, 0, 2/7, 2
Let h(l) = -4*l**4 - l**3 + 5*l**2 + 3*l - 3. Let t(a) = 29*a**3 - 2*a + 2 - 4*a**2 - 39*a**3 + 3*a**4 + 11*a**3. Let v(j) = 2*h(j) + 3*t(j). Factor v(b).
b**2*(b - 1)*(b + 2)
Let i(q) be the second derivative of -2*q**2 