 d(l). Determine o, given that b(o) = 0.
0, 4
Let x(s) be the second derivative of -2*s**6/15 - 37*s**5 + 188*s**4/3 + 248*s**3 - 10897*s. Factor x(m).
-4*m*(m - 2)*(m + 1)*(m + 186)
Factor -6/5 + 1/5*o + 1/5*o**2.
(o - 2)*(o + 3)/5
Let i(y) be the third derivative of y**7/1680 + y**6/192 + y**5/160 - 5*y**4/192 - y**3/12 - 15*y**2 + 30. Factor i(l).
(l - 1)*(l + 1)**2*(l + 4)/8
Let g(a) = -135*a**3 + 2660*a**2 + 10585*a + 10555. Let h(p) = -28*p**3 + p - 1. Let f(i) = g(i) - 5*h(i). Let f(s) = 0. Calculate s.
-528, -2
Let u(h) be the second derivative of 7/3*h**2 + 19/9*h**4 + 11/15*h**5 - 1/63*h**7 + 17 + 1/15*h**6 - 3*h + 3*h**3. Solve u(m) = 0.
-1, 7
Let p(t) be the second derivative of 21*t**5/100 - 83*t**4/4 + 262*t**3/5 - 174*t**2/5 + 148*t - 5. Factor p(a).
3*(a - 58)*(a - 1)*(7*a - 2)/5
Let s be (2/30)/((-14)/35)*(-186)/(-10)*-6. Solve -9/5*o - 54/5 + s*o**2 + 9/5*o**4 + 57/5*o**3 = 0 for o.
-3, -1, 2/3
Suppose -z - 212 + 199 = -4*k, -3*z = -9. Factor 9/2*m**3 - 5*m**2 + 0 + 2*m**k - 3/2*m.
m*(m - 1)*(m + 3)*(4*m + 1)/2
Let c = 315128 - 315128. Let y = -2 + 5. Factor 1/3*m**4 + y*m**2 + 4/3*m + 2*m**3 + c.
m*(m + 1)**2*(m + 4)/3
Suppose -v - 5*b = 78, 4*v - 1116 = b - 1092. Factor 126/5 + 3/5*c**v + 51/5*c.
3*(c + 3)*(c + 14)/5
Let c(h) be the third derivative of h**5/48 + 65*h**4/24 + 123*h**2 - 4. Factor c(t).
5*t*(t + 52)/4
Let k be (70/(-10) - -5)/((-2)/2). Let l(a) be the first derivative of -1/5*a**3 + 6/5*a**k + 3*a + 18. Solve l(i) = 0 for i.
-1, 5
Let p(x) = -x**2 + 20*x - 1. Let w be p(20). Let r = 3 + w. Factor 0*q**2 - r*q - 3*q**2 + 2*q**2 + 4*q.
-q*(q - 2)
Let i(l) = l**3 + 7*l**2 - 10*l. Let w be i(-8). Let d be w + -11 + (283 - 0). Factor -2*x - 287*x**2 + 5*x - 10 + d*x**2.
(x - 2)*(x + 5)
Let s be ((-1 - -1)*(-12 - -11))/(-2). Suppose -3*g = -3*n, -6*g + 7*g + n = s. Factor -1/2*z**5 + 0*z**2 + 0*z**3 + g - 1/2*z**4 + 0*z.
-z**4*(z + 1)/2
Let p(m) be the first derivative of -3*m**5/20 - m**4/4 + 2*m**3 + 6*m**2 - 65*m + 56. Let f(n) be the first derivative of p(n). Factor f(u).
-3*(u - 2)*(u + 1)*(u + 2)
Let b(k) = -2559 + 7*k**2 + 11775 - 69*k - 309*k. Let s(p) = 6*p**2 - 380*p + 9216. Let l(t) = 2*b(t) - 3*s(t). Determine o so that l(o) = 0.
48
Let t(i) be the first derivative of -3*i**5/5 - 9*i**4/2 + 75*i**3 + 456*i**2 - 4032*i + 439. Let t(o) = 0. What is o?
-8, 3, 7
Let h(b) = b**2 - 64*b + 256. Suppose -15 = 2*a + 29. Let u = -19 - a. Let x(g) = 4*g**2 - 320*g + 1280. Let i(c) = u*x(c) - 16*h(c). Let i(n) = 0. Calculate n.
8
Determine j so that -854/5*j**2 + 1702/5*j - 170 + 2/5*j**3 = 0.
1, 425
Let f be (42/7 - 0) + 0/(-3). Suppose f*m - 6 = 3*m + 2*b, 4*m + b = 8. Let 0 + 2/15*v**m + 2/15*v = 0. Calculate v.
-1, 0
Let d(l) be the third derivative of 1/15*l**3 + 0 + 1/300*l**6 + 0*l - 1/150*l**5 + 221*l**2 - 1/60*l**4. Factor d(c).
2*(c - 1)**2*(c + 1)/5
Find u, given that -2/3*u**4 - 4 - 10/3*u + 14/3*u**2 + 10/3*u**3 = 0.
-1, 1, 6
Factor -11*x**3 + x**5 - 3*x**4 - 36*x - 2*x**3 + 262*x**2 + 251*x**2 - 462*x**2.
x*(x - 3)**2*(x - 1)*(x + 4)
Let u be (0 + -8 + 9)*0. Suppose u = 62*f - 49*f. What is s in -1/5*s - 1/5*s**2 + f + 4/5*s**4 + 4/5*s**3 = 0?
-1, -1/2, 0, 1/2
Suppose -5*a - 32*x + 35*x + 81 = 0, -2*x = 4*a - 34. Factor -9*p + a + 3/2*p**2.
3*(p - 4)*(p - 2)/2
Let c = 497/135 + 131/270. Find a, given that 7/3*a**2 + 11/6*a**4 + 1/6*a**5 + 17/3*a**3 - 35/6*a - c = 0.
-5, -1, 1
Let a = 1741/24 + -559/8. Let q(i) be the first derivative of -a*i**3 + 0*i - 29 + 8/5*i**5 + 0*i**2 + i**4 - 2/3*i**6. Suppose q(x) = 0. What is x?
-1, 0, 1, 2
Let x(c) = 5*c**2 + 437*c + 174. Let o be x(-87). Factor 0 + o*k**3 + 1/9*k**5 - 2/9*k**4 + 2/9*k**2 - 1/9*k.
k*(k - 1)**3*(k + 1)/9
Let a(d) be the second derivative of 2*d**6/15 - 23*d**5/5 - 49*d**4/3 - 50*d**3/3 - 993*d. Let a(r) = 0. Calculate r.
-1, 0, 25
Let r = 1351456814/3941749 + -2/563107. Factor 160000/7 + r*z**2 + 32000/7*z + 1/7*z**4 + 80/7*z**3.
(z + 20)**4/7
Suppose -16*z + 342 = 3*z. What is n in z*n + 2*n**3 - 11*n**2 + 3*n**3 - 3*n**3 - n**2 = 0?
0, 3
Let r(u) = 2*u**3 - 16*u**2 - 3*u + 29. Let x be r(8). Let c be 104/(-39) + (x - (0 - 1)). Factor 0 + 0*m**3 - c*m - 5*m**2 + 5/3*m**4.
5*m*(m - 2)*(m + 1)**2/3
Let r = -20427/20 - -10221/10. Factor 1 + 11/4*y**2 - r*y**3 - 3*y.
-(y - 2)*(y - 1)*(3*y - 2)/4
Let s(f) be the second derivative of -f**4/12 - f**3 - 5*f**2/2 + f. Let t be s(-4). Determine r, given that t*r**2 + 2*r - 3*r**3 + r**3 + r**3 + 2*r**3 = 0.
-2, -1, 0
Let m be ((576/(-30))/(-8))/(3/(60/8)). Factor 46/3*w + m + 5/6*w**2.
(w + 18)*(5*w + 2)/6
Factor 18*q**5 - 120*q**4 + 4154*q**2 + 490*q**3 - 2105*q**2 - 2149*q**2 - 64*q**4.
2*q**2*(q - 5)**2*(9*q - 2)
Let t = 11760 + -11758. Let o(k) be the second derivative of -1/9*k**3 + 0*k**t - 1/30*k**5 - 33*k + 0 - 1/9*k**4. Factor o(j).
-2*j*(j + 1)**2/3
Let s = 630740 + -5045905/8. Determine y so that 0 + 3/2*y**2 - 3/8*y**3 + s*y = 0.
-1, 0, 5
Let i be (7/10)/(31/8370*126). Factor i*d**3 - 15/4 - 87/8*d**2 + 141/8*d.
3*(d - 5)*(d - 2)*(4*d - 1)/8
Let w(x) = 15*x**3 + 3*x**2 - 33*x + 15. Let v(u) be the first derivative of 2*u**4 + u**3/3 - 8*u**2 + 7*u - 11. Let o(z) = 9*v(z) - 5*w(z). Factor o(t).
-3*(t - 1)**2*(t + 4)
Let v = 208/6283 - -998165/25132. Factor -39/2 - 3/4*p**3 - v*p - 21*p**2.
-3*(p + 1)**2*(p + 26)/4
Let i(t) be the second derivative of t**4/36 - 5*t**3/3 - 33*t**2/2 + 2210*t. Let i(o) = 0. What is o?
-3, 33
Let z(f) be the first derivative of f**9/16632 - f**8/9240 - f**7/770 + 13*f**3 - 92. Let p(h) be the third derivative of z(h). Find r such that p(r) = 0.
-2, 0, 3
Let p(z) = -13*z**2 + 53*z + 46. Let q(y) = -23*y**2 + 104*y + 92. Let l(n) = -7*p(n) + 4*q(n). Let l(d) = 0. Calculate d.
-1, 46
Let -3/7*m + 16/7*m**2 - 180/7 - 1/7*m**3 = 0. What is m?
-3, 4, 15
Let x(v) be the second derivative of 3*v**5 + 97*v**4/12 - 22*v**3/3 + 2*v**2 + 690*v. Determine p, given that x(p) = 0.
-2, 2/15, 1/4
Let n(z) be the first derivative of -2/5*z**2 - 14/25*z**5 + 14/15*z**3 + 1/3*z**6 + 0*z + 82 - 3/10*z**4. Let n(k) = 0. What is k?
-1, 0, 2/5, 1
Suppose -5*j + 1 = 6*u - 31, j + 5*u = 14. Suppose 9/5*y**j - 3*y**3 + 0 + 3/5*y**2 + 3/5*y = 0. Calculate y.
-1/3, 0, 1
Let t(h) be the second derivative of -h**8/1344 - h**7/504 + h**6/72 - 13*h**4/3 - 27*h. Let g(r) be the third derivative of t(r). Determine l so that g(l) = 0.
-2, 0, 1
Let f = -546929/2 - -273465. Factor i + f*i**2 + 1/2.
(i + 1)**2/2
Let f(l) = 303*l - 33933. Let v be f(112). Determine q so that 6/5*q**v + 2/5*q + 13*q**4 - 3*q**2 + 42/5*q**5 + 0 = 0.
-1, 0, 1/6, 2/7
Let z(t) be the third derivative of -t**6/80 + 16*t**5/5 - 127*t**4/16 + 92*t**2 + 2. Suppose z(l) = 0. What is l?
0, 1, 127
Let k be -2 + 4 - -2 - (-1 - 5). Let i be ((-81)/45)/((-1)/k). Factor -1240 - 2*c - i*c**2 - 22*c + 1231 + 3*c**4.
3*(c - 3)*(c + 1)**3
Let x(o) be the first derivative of -3*o**4/16 - 23*o**3/2 - 267*o**2/8 - 33*o - 5156. Factor x(g).
-3*(g + 1)**2*(g + 44)/4
Solve -278/5*u - 188/5 - 88/5*u**2 + 2/5*u**3 = 0.
-2, -1, 47
Let y(r) be the second derivative of 0*r**2 + 0*r**4 - 2/15*r**5 - 1/63*r**7 + 0 + 0*r**3 - 1/9*r**6 - 129*r. Let y(q) = 0. Calculate q.
-4, -1, 0
Let a = -107 + 109. Suppose 5*s + t = a*s + 9, 0 = -5*t + 15. Factor 6*z**2 - 4*z**s + z**2 - 5*z**4 - 5 + 7*z**2.
-5*(z - 1)**2*(z + 1)**2
Factor -189/8*g**2 + 1665/8*g + 3/8*g**3 - 3975/8.
3*(g - 53)*(g - 5)**2/8
Factor -1/2*g**4 + 0 - 47*g + 139/2*g**2 - 22*g**3.
-g*(g - 2)*(g - 1)*(g + 47)/2
Let s be (24/(-8))/(-4 + (-37)/(-10)). Suppose 12*o - 15*o + 5*b + 16 = 0, o - 4*b = s. Solve 2/7*j**o - 8/7*j + 8/7*j**3 - 2/7 = 0.
-1, -1/4, 1
Suppose 10368/17 + 4320/17*s + 0*s**2 - 40/17*s**4 - 2/17*s**5 - 240/17*s**3 = 0. What is s?
-6, 4
Let z(a) = -5*a**4 - 27*a**3 + 21*a**2 + 74*a - 63. Let u(y) = -y**3 - 2*y**2 + 2*y + 1. Let o(q) = -3*u(q) - z(q). Suppose o(w) = 0. What is w?
-6, -2, 1
Let x be 6 + 1*(-4 - 1041/285). Let j = 39/19 + x. Factor 4/5*i + j*i**3 - 6/5*i**2 + 0.
2*i*(i - 2)*(i - 1)/5
Let w(r) be the first derivative of -10/3*r**3 - 306 + 0*r + 1/4*r**4 + 1/10*r**5 + 6*r**2. Factor w(n).
n*(n - 2)**2*(n + 6)/2
Let g(d) be the second derivative of 0 - 190*d + 5/8*d**4 - 25/4*d**3 - 1/40*d**5 + 125/4*d**2. Factor g(y).
-(y - 5)**3/2
Suppose 7*o = -7 + 21. Let 