the first derivative of n(r). Factor b(j).
2*(j - 1)*(j + 1)/5
Let k(d) = 8*d**2 + 7238*d + 6559448. Let y(w) = -2*w**2 + 2*w - 2. Let b(m) = k(m) + 3*y(m). Factor b(x).
2*(x + 1811)**2
Let r(g) = -9*g**2 + g**3 - 5*g**4 + 2 - g**3 - 4 - 12*g**3 + 16*g. Let t(k) = k**4 + 3*k**2 + k + 1. Let b(y) = -r(y) - 2*t(y). Determine o so that b(o) = 0.
-3, -2, 0, 1
Suppose 2*s = 5*o - 83, -2*o + s + 38 = -s. Suppose l = 6*l - o. Solve -3*v**3 + 5*v**3 - 6*v**l + 0*v**3 - 8*v**2 + 12*v = 0 for v.
-3, 0, 1
Let o(x) be the third derivative of x**8/144 + 5*x**7/42 - 43*x**6/360 - 239*x**5/180 - 7*x**4/6 + 22*x**3/9 - 2*x**2 + 696*x. Suppose o(p) = 0. Calculate p.
-11, -1, 2/7, 2
Let i(d) be the second derivative of -2*d**7/63 + 2*d**6/45 + 8*d**5/15 - 4*d**4/3 - 517*d - 1. Factor i(f).
-4*f**2*(f - 2)**2*(f + 3)/3
Factor -557/4*d + 103*d**2 - 35/2*d**4 + 105/2 - 1/4*d**5 + 3/2*d**3.
-(d - 1)**3*(d + 3)*(d + 70)/4
Let w(t) be the third derivative of -5*t**8/336 - t**7/7 - 7*t**6/12 - 4*t**5/3 - 15*t**4/8 - 5*t**3/3 - 2565*t**2. Find j, given that w(j) = 0.
-2, -1
Factor -30941616 + 14*o**2 + 24136*o + 0*o**2 - 18*o**2 - 5467540.
-4*(o - 3017)**2
Let b = -35 + 40. Let x be 6 - b - -1*9. Factor 2 + 16*a**2 + 4*a - x*a**2 - 4*a**2 + 0*a.
2*(a + 1)**2
Let s(f) be the third derivative of -f**6/108 - f**5/135 + 5*f**4/12 + 2*f**3/3 - 649*f**2. Factor s(h).
-2*(h - 3)*(h + 3)*(5*h + 2)/9
Let r(t) = t**2 - 10*t + 20. Suppose -3*v + v = j - 12, 2*j + 8 = 0. Let o be r(v). What is d in -7*d**3 + 8*d**4 - o*d**4 + d**3 + 2*d**3 = 0?
0, 1
Suppose -4*d - 3*u = -6*d - 12, -3*d = -5*u + 19. Let s be (-16)/d + (-9)/27. Solve 0 - 9/8*v**2 + 3/8*v**3 - 3/4*v**s + 9/8*v**4 + 3/8*v = 0.
-1, 0, 1/2, 1
Let c = -2625279/10 - -262528. What is h in -1/10*h + 0 - c*h**2 = 0?
-1, 0
Factor -89/8*v - 1/8*v**2 + 91/4.
-(v - 2)*(v + 91)/8
Let v(f) be the third derivative of f**6/165 + 5*f**5/66 + 7*f**4/44 + 361*f**2. Suppose v(i) = 0. What is i?
-21/4, -1, 0
Let m(q) = 14*q**2 - 3946*q - 7908. Let d(g) = -18*g**2 + 5262*g + 10544. Let w(t) = -10*d(t) - 13*m(t). Let w(r) = 0. Calculate r.
-659, -2
Suppose -402 + 258 = -24*v. Let m(x) be the first derivative of -1/3*x - 1/6*x**4 + 1/36*x**v - 11 + 1/4*x**2 + 0*x**5 + 1/9*x**3. Factor m(w).
(w - 1)**3*(w + 1)*(w + 2)/6
Let s be 10/12 - (-24)/144. Let i(f) = f**3 + f**2 + f - 1. Let n(u) = 4*u**3 + 24*u**2 + 20*u - 20. Let d = -1 - 19. Let o(y) = d*i(y) + s*n(y). Factor o(c).
-4*c**2*(4*c - 1)
Let a(s) = -10*s - 95. Let t be a(-10). Factor 20*o**4 + 2*o**5 - 18*o**4 - o - 2*o**2 - o**t.
o*(o - 1)*(o + 1)**3
Let c = -3/295 - -127/885. Let w(z) be the third derivative of 0*z + 0*z**7 + c*z**5 + 0 - 1/8*z**4 + 11*z**2 + 1/336*z**8 + 0*z**3 - 1/20*z**6. Factor w(l).
l*(l - 1)**3*(l + 3)
Suppose -2*f - 16 - 64 = 0. Let w = f + 45. Factor -10*y**2 + 9*y**2 - 4*y**2 - w*y.
-5*y*(y + 1)
Let m be (15/(-50)*2)/(18/(-60)). Let q(n) be the third derivative of 0*n**4 + 1/60*n**6 + 22*n**m + 1/10*n**5 + 0*n + 0 - 4/3*n**3. Factor q(w).
2*(w - 1)*(w + 2)**2
Let b(o) be the second derivative of o**5/20 - 7*o**4/8 + 50*o**2 + 99*o. Let x(y) be the first derivative of b(y). What is t in x(t) = 0?
0, 7
Let w(c) be the first derivative of 51 + 0*c**3 + 0*c + 3/10*c**5 + 9/8*c**4 - 3*c**2. Let w(o) = 0. What is o?
-2, 0, 1
Solve -5/3*b**3 - 60 + 10*b**2 + 155/3*b = 0.
-4, 1, 9
Suppose -16*d + 20/3*d**2 - 4/3*d**4 - 4*d**5 - 16/3 + 20*d**3 = 0. Calculate d.
-2, -1, -1/3, 1, 2
What is w in 1/4*w**3 + 389/4*w**2 + 391/4 - 781/4*w = 0?
-391, 1
Let f(s) be the third derivative of -s**8/112 + 13*s**7/70 - 51*s**6/40 + 27*s**5/20 + 27*s**4 - 162*s**3 + 1246*s**2. Factor f(u).
-3*(u - 6)*(u - 3)**3*(u + 2)
Let z(i) be the first derivative of -i**3 - 1125*i**2/2 + 1198. Factor z(b).
-3*b*(b + 375)
Let a(o) = -25*o**4 - 5*o**3 - 50*o**2 + 155*o - 165. Let r(l) = 2*l**4 - l**3 + l**2 + l + 3. Let q(h) = -a(h) - 15*r(h). What is x in q(x) = 0?
-3, 1, 2, 4
Let r = 1386143/3 + -462047. Factor -8 - r*g**3 + 32/3*g - 2*g**2.
-2*(g - 2)*(g - 1)*(g + 6)/3
Let j be 217/62*((-5)/(-21) + 1/(-6)). What is l in -j*l**5 - 3/2*l**4 - 3/2*l**2 + 0 + 0*l - 11/4*l**3 = 0?
-3, -2, -1, 0
Suppose 0 = 23*p - 25*p - 8. Let a be 1/((p/((-12)/3))/14). Find o such that -16*o**4 - 10*o**3 + 2*o - 12*o**2 - 5*o - a*o**3 + o = 0.
-1/2, 0
Suppose -2*m + f = -277 - 1843, -m + f = -1061. Let t = m + -3167/3. Factor -14/3*s**2 - t*s + 4/3.
-2*(s + 1)*(7*s - 2)/3
Solve 76/3*u**2 - 9126 + 1/9*u**3 + 1365*u = 0.
-117, 6
Let g(x) be the third derivative of -98/3*x**3 + 2*x**2 + 7/4*x**4 + 0 + 1/4*x**6 + 61/30*x**5 + 0*x + 1/105*x**7. Factor g(o).
2*(o - 1)*(o + 2)*(o + 7)**2
Let m(f) be the first derivative of -90*f**2 + 600*f - 18*f**3 + 122 - 3/4*f**4. Factor m(w).
-3*(w - 2)*(w + 10)**2
Let a(x) = 14*x**2 + 20978*x - 21226*x + 6*x**2 - 76. Let l(j) = -22*j**2 + 247*j + 75. Let g(h) = -3*a(h) - 4*l(h). Factor g(o).
4*(o - 9)*(7*o + 2)
Find u, given that 56/5 + 186/5*u**2 - 12*u**4 - 34/5*u**3 + 216/5*u = 0.
-7/6, -1, -2/5, 2
Let o = -121/570 + 36/95. Let v(c) be the first derivative of -16 + 1/2*c**2 + o*c**3 + 0*c. Find n such that v(n) = 0.
-2, 0
Factor 0 + 2834352*c + 2781864*c**2 + 970/3*c**4 - 2/3*c**5 - 52164*c**3.
-2*c*(c - 162)**3*(c + 1)/3
Let b(v) = -48*v + 99. Let a be b(2). Let t = 18 - 15. Factor -8*c**2 + 9*c**a + 10*c**t - 23*c**3.
-4*c**2*(c + 2)
Let f be ((-225)/(-208950))/(1 + (-7)/4). Let q = f - -11150/4179. Find j, given that 8/3 - 2/3*j**3 - q*j**2 + 2/3*j = 0.
-4, -1, 1
Solve -39*c**2 - 9*c**4 - 36*c + 48 + 141/4*c**3 + 3/4*c**5 = 0.
-1, 1, 4
Let r(q) be the second derivative of q**5/90 + 11*q**4/6 - 205*q + 2. Suppose r(j) = 0. What is j?
-99, 0
Suppose -c + 16 = -t, -4*c - 4*t + 0 = -32. Let x be (-5)/(-9 + (-42)/c). What is z in 8/5*z**2 - 4/5*z**4 - 4/5 - x*z**5 - 2/5*z + 4/5*z**3 = 0?
-2, -1, 1
Let z(p) be the third derivative of -p**5/60 + 13*p**4/24 + 16*p**3/3 - 2*p**2 + 151*p. Let w be z(15). Factor -2/9*o + 4/9 - 2/9*o**w.
-2*(o - 1)*(o + 2)/9
Let d be (6 - (-108)/(-16)) + (-5)/((-720)/108). Factor 0*g - 5/3*g**4 + 1/3*g**3 + d + 0*g**2 + 4/3*g**5.
g**3*(g - 1)*(4*g - 1)/3
Find y, given that 192*y + 0 - 4/3*y**3 + 24*y**2 = 0.
-6, 0, 24
Suppose -8*a - 2*a = -30. Solve 2*o**a + 33*o + 4 - 5*o**3 + 6*o**2 - 27 - 13 = 0 for o.
-3, 1, 4
Let u = 18 - 16. Let d = -2/17599 - -52801/35198. Factor 3/4*x**u + d*x + 3/4.
3*(x + 1)**2/4
Let u(d) be the third derivative of 59/30*d**6 - 7/3*d**5 + 3 - 74/105*d**7 - 5*d**2 + 1/12*d**8 + 0*d**3 + 0*d + d**4. Let u(t) = 0. Calculate t.
0, 2/7, 1, 3
Let f(b) be the second derivative of 11*b**2 - 1/48*b**4 + 1/6*b**3 - 1/120*b**5 + 7*b + 0. Let i(a) be the first derivative of f(a). Factor i(d).
-(d - 1)*(d + 2)/2
Let h = -160615 + 803077/5. Let g = 49 + -241/5. Factor -1/10*z**3 + 1/2*z**2 - g*z + h.
-(z - 2)**2*(z - 1)/10
Let h(p) = -3*p**2 - 19*p + 42. Let m be h(-8). Factor 1506*o**2 + 49*o - 1501*o**m + 11*o.
5*o*(o + 12)
Solve 561/4*c**2 + 837/4*c - 243/2 - 639/4*c**3 + 117/4*c**4 - 3/2*c**5 = 0.
-1, 1/2, 2, 9
Let o(v) = -v**3 - v. Let f be o(-1). Let j = f - -1. Find z such that -116*z**j + 60*z**3 - 2*z**2 + 58*z**3 = 0.
0, 1
Factor -1/4*u**3 - 1085*u + 32*u**2 + 3844.
-(u - 62)**2*(u - 4)/4
Suppose 2*y = 8*b - 12, -4*y - 601*b = -599*b - 12. Factor -24*z**y + 0 + 3/2*z**3 + 45/2*z.
3*z*(z - 15)*(z - 1)/2
Suppose 4*n + 0*n - 75 = 5*x, -x = 2*n + 1. Let b be ((-348)/24 - x)/(-7). Factor 1/2*v**4 - b*v**2 + 1/2*v**3 + 0 - 1/2*v.
v*(v - 1)*(v + 1)**2/2
Let g(c) be the first derivative of -25*c - 5/12*c**3 - 1/48*c**4 - 17 - 25/8*c**2. Let n(s) be the first derivative of g(s). Factor n(i).
-(i + 5)**2/4
Factor 4*x**4 + 109*x + 135*x - 36*x**3 - 98*x**2 + 141*x + 95*x + 10*x**2.
4*x*(x - 10)*(x - 3)*(x + 4)
Let m(z) be the second derivative of -8*z**5/15 + 164*z**4/9 - 1441*z**3/9 + 605*z**2 - 2647*z. Let m(g) = 0. What is g?
11/4, 15
Let f = -1721/548 + 533/137. Factor -21/2*i + f*i**2 - 45/4.
3*(i - 15)*(i + 1)/4
Determine y, given that 28/3*y - 26/9*y**2 + 0 + 2/9*y**3 = 0.
0, 6, 7
Let j(l) = -l**5 - 5*l**4 - 6*l**3 + 8*l**2 + 7*l. Let c = -448 + 433. Let z(q) = q**3 - q**2 - q. Let p(u) = c*z(u) - 5*j(u). Suppose p(y) = 0. What is y?
-4, -1, 0, 1
Let y = 1738850 + -1738847. Factor -11/6*d**4 - 28/3*d - 8/3 - 43/6*d**y - 73/6*d**2 -