8. Let h be j(-10). What is i in 4/13*i**h - 4/13*i**4 + 2/13*i**5 + 0*i**3 + 0 - 2/13*i = 0?
-1, 0, 1
Let o be ((-3)/4)/((-36)/256) + -5. Factor -o*j**2 + 1/3 + 0*j.
-(j - 1)*(j + 1)/3
Factor -17/6*y - 1/3 - 11/3*y**2 - 7/6*y**3.
-(y + 1)*(y + 2)*(7*y + 1)/6
Let f(c) be the third derivative of 0 - 23*c**2 + 0*c**5 + 0*c**3 + 0*c + 0*c**4 - 1/24*c**6. Solve f(k) = 0 for k.
0
Let w(a) = 2*a**2 + 2*a - 478. Let l be w(15). Let -4*m**5 - 115/4*m - 193/4*m**3 - 25/4 - 22*m**4 - 211/4*m**l = 0. Calculate m.
-5/4, -1
Factor 3*n - 2*n**2 - 22*n - 15*n - 180 - 109 + n**2.
-(n + 17)**2
Let q = -7978/21 + 380. Let z(r) be the third derivative of 1/42*r**5 + 1/28*r**4 + 0*r - q*r**3 + 5*r**2 + 0. Factor z(v).
2*(v + 1)*(5*v - 2)/7
Suppose 0 = -236*m + 268*m - 128. Factor -2/21*x**3 + 2/21*x + 0 + 2/21*x**m - 2/21*x**2.
2*x*(x - 1)**2*(x + 1)/21
Factor -7500 + 240*p**3 - 7876 + 492*p**2 + 14880*p - 236*p**3.
4*(p - 1)*(p + 62)**2
Let q = -3177/10 + 318. Let f(c) be the first derivative of 24*c**2 - q*c**5 + 5 + 3*c**4 - 24*c - 12*c**3. Let f(u) = 0. Calculate u.
2
Let j(l) be the first derivative of -3*l**5/5 + 861*l**4/4 - 27645*l**3 + 2734575*l**2/2 - 5144250*l - 1058. Factor j(h).
-3*(h - 95)**3*(h - 2)
Find d, given that -1/4*d**4 + 0 - 11/4*d**3 - 25/4*d - 35/4*d**2 = 0.
-5, -1, 0
Let s = 118 + -105. Let y = s - 17/2. What is q in -3/4*q**5 - 3/4*q - y*q**3 + 0 - 3*q**2 - 3*q**4 = 0?
-1, 0
Let q be (-4)/3*3/2*-1. Determine s, given that 0*s + 19*s**2 + s - 16*s**q = 0.
-1/3, 0
Let a(y) be the second derivative of -y**6/80 - y**5/40 + 19*y**2/2 + 8*y. Let z(u) be the first derivative of a(u). Determine m, given that z(m) = 0.
-1, 0
Let u = -3/445 + 917/4005. Factor 0*g + 2/9*g**2 - u.
2*(g - 1)*(g + 1)/9
Let q(u) = u**2 - 21*u + 30. Let w be q(12). Let l = 313/4 + w. What is o in -l*o**3 - 3/4*o**2 - 1/4 - 3/4*o = 0?
-1
Let z(s) be the second derivative of -1/19*s**3 + 2/19*s**2 + 1/114*s**4 + 10*s + 0. Factor z(b).
2*(b - 2)*(b - 1)/19
Let w(r) be the second derivative of -5*r**4/12 + 385*r**3/3 - 29645*r**2/2 + r - 97. Factor w(b).
-5*(b - 77)**2
Let l(d) be the second derivative of -40/3*d**3 + 0 + 25/12*d**4 + 25/4*d**5 + 10*d**2 - 2*d. Solve l(f) = 0.
-1, 2/5
Let n(l) be the second derivative of -l**10/40320 - l**9/6720 - l**8/4480 - 5*l**4/12 - 40*l. Let b(g) be the third derivative of n(g). Factor b(y).
-3*y**3*(y + 1)*(y + 2)/4
Suppose 5*i + 60*m = 63*m + 13, -8*i + m = -17. Find b, given that 2/5*b**2 + i*b + 12/5 = 0.
-3, -2
Factor 1/12*x**3 - 55/12*x + 17/3 - 7/6*x**2.
(x - 17)*(x - 1)*(x + 4)/12
Let s(z) be the second derivative of z**5/12 - 5*z**4/4 - 35*z**3/6 - 55*z**2/6 + 86*z - 1. Factor s(f).
5*(f - 11)*(f + 1)**2/3
Let b(v) be the second derivative of -16*v**7/21 + 4*v**6/3 + v**5/2 - 25*v**4/24 - 5*v**3/6 - v**2/4 - 29*v - 1. Factor b(x).
-(x - 1)**2*(4*x + 1)**3/2
Factor -j**4 + 352*j**3 + 69*j**3 - 11248*j**2 + 10952*j + 2*j**4 - 3*j**4 - 123*j**3.
-2*j*(j - 74)**2*(j - 1)
Suppose 2*r = 2*j - 2, 5*r + 2 = 4*j - 0. Factor 20*h - 16*h**2 + 63*h**3 - r - 111*h**3 + 10.
-4*(2*h + 1)**2*(3*h - 2)
Determine u so that -64/7*u**5 + 96/7 + 3708/7*u**3 + 1376/7*u**4 + 956/7*u + 3128/7*u**2 = 0.
-1, -1/4, 24
Let i(x) be the third derivative of -x**7/70 + x**6/5 - 13*x**5/20 + 3*x**4/4 - 44*x**2. Factor i(a).
-3*a*(a - 6)*(a - 1)**2
Suppose -2*h + 2*n = -8 + 20, -12 = 2*h - 4*n. Let y be ((-7 - h)*(0 - 1))/3. Factor -y*q**2 + 1/3*q + 0.
-q*(q - 1)/3
Suppose -4*a + 0*b + 3*b = -52, -3*b + 38 = 5*a. Suppose -a*l = -4*l - 0*l. Factor -1/8*k + 1/4*k**2 + l - 1/8*k**3.
-k*(k - 1)**2/8
Let n(z) = 4*z**2 + 21*z + 30. Let b(l) = 2*l**2 + 10*l + 14. Suppose 0 = -j + 2*q - 5, -3*q = j - q + 21. Let d(i) = j*b(i) + 6*n(i). Factor d(h).
-2*(h + 1)**2
Let o(s) = -3141*s**2 - 732*s - 31. Let x(h) = 4712*h**2 + 1104*h + 46. Let q(k) = -8*o(k) - 5*x(k). Let q(p) = 0. What is p?
-3/28
Let r(m) be the second derivative of -m**6/160 + m**5/20 - m**4/8 + 4*m**2 - 9*m. Let k(g) be the first derivative of r(g). Factor k(w).
-3*w*(w - 2)**2/4
Let y be (3/(-2))/(4/(-8)). Let s be (6/(2 - 4))/(-1). Factor -2*q**2 - 5*q - 4*q**4 + q**2 - q**5 - s*q**2 - 6*q**y + 4*q.
-q*(q + 1)**4
Let g(u) be the third derivative of -1/420*u**6 - 2/21*u**4 + 0 - 4/21*u**3 + 16*u**2 - 1/42*u**5 + 0*u. Factor g(c).
-2*(c + 1)*(c + 2)**2/7
Let h(v) be the first derivative of -v**4/4 - 5*v**3 + v**2/2 + 15*v + 71. What is g in h(g) = 0?
-15, -1, 1
Suppose -120/17*k + 74/17*k**2 - 20/17*k**3 + 2/17*k**4 + 72/17 = 0. What is k?
2, 3
Let g be 3/4*-1 + (-189)/(-28). Factor 7*d**3 + 7*d**3 + g*d**2 - 17*d**3 - 3*d**4.
-3*d**2*(d - 1)*(d + 2)
Let y(x) be the third derivative of -x**7/525 + 41*x**6/300 + 37*x**5/25 + 91*x**4/15 + 184*x**3/15 - 14*x**2 + 16. Solve y(z) = 0 for z.
-2, -1, 46
Let q = 1443 - 1443. Factor -1/2*x + q - 1/2*x**3 - x**2.
-x*(x + 1)**2/2
Suppose p - 5*b = -15, -2*p = 3*p + 4*b - 12. Suppose -4*d + p*d = -d. Determine q, given that -14/3*q**4 + 10/3*q**5 + 4/3*q**3 + 0*q + 0*q**2 + d = 0.
0, 2/5, 1
Let 13*l + 4*l + 4*l**2 + l**3 - 14*l = 0. What is l?
-3, -1, 0
Let h(p) be the first derivative of 0*p + 8/3*p**3 + 33 + 0*p**2 + 3*p**4 + 4/5*p**5. Factor h(g).
4*g**2*(g + 1)*(g + 2)
Find r, given that -39*r**4 - 5*r - 9*r**2 - 32*r**4 - r + 74*r**4 = 0.
-1, 0, 2
Let a(s) be the second derivative of -s**4/3 - 212*s**3/3 - 5618*s**2 - s - 79. Determine v, given that a(v) = 0.
-53
Suppose -21 = n + 5*u, -4*u - 20 + 4 = n. Let m = -16 + 18. Determine l, given that 3*l**3 - 3*l**4 - 3*l + l**m - 2 + n*l**4 + 0*l**3 = 0.
-2, -1, 1
Let g(x) = x**2 - 1. Let z(d) be the second derivative of d**4/6 - d**3/3 - 2*d**2 + 15*d. Let y(s) = -3*g(s) + z(s). Factor y(k).
-(k + 1)**2
Let v be 32*(3 + 195/(-20)). Let l = 655/3 + v. Factor 4/3*q**5 - 2/3*q - 2/3*q**3 + 1/3 + l*q**4 - 8/3*q**2.
(q - 1)*(q + 1)**3*(4*q - 1)/3
Suppose 70 = 3*w + 58. Let o(m) be the third derivative of 0*m + 0*m**3 + 0*m**w - 1/315*m**7 + 0 + 1/240*m**6 + 1/360*m**5 - m**2. Solve o(t) = 0.
-1/4, 0, 1
Let p(o) be the third derivative of 0 + 24*o**2 - 2*o**3 - 5/8*o**4 - 1/20*o**5 + 0*o. Factor p(w).
-3*(w + 1)*(w + 4)
Factor 0*d**3 - 343*d**2 - d**3 + 340*d**2.
-d**2*(d + 3)
Let n = 5947/945 - 1/135. Let u = n + -118/21. Factor -u*j**2 - 4/3*j**3 + 2/3 + j + 0*j**4 + 1/3*j**5.
(j - 2)*(j - 1)*(j + 1)**3/3
Let n(i) = i**2 + 2*i + 2. Let l be n(-1). Let z be ((-12)/54)/(l - (-8)/(-6)). Determine p so that 1/3*p**2 + 1/3 + z*p = 0.
-1
Let c(o) be the first derivative of o**4/8 - o**3/3 - o**2/4 + o + 369. Solve c(u) = 0 for u.
-1, 1, 2
Let r = -7294/55 - -1461/11. Solve r*m**2 + 0 - 1/5*m = 0.
0, 1
Let u(o) = o**3 - 39*o**2 + 142*o - 65. Let b be u(35). Solve -22*p**2 + 62/3*p**3 + 0 - 50/3*p**b - 12*p + 30*p**4 = 0.
-3/5, 0, 1, 2
Let d(n) be the second derivative of 0*n**2 + 0*n**3 + 0*n**4 + 0 - 11*n + 1/70*n**5 - 2/105*n**6 - 1/49*n**7. Factor d(x).
-2*x**3*(x + 1)*(3*x - 1)/7
Let z(k) = -6*k**3 - 8*k**2 - 2*k - 2. Let b(m) be the first derivative of 13*m**4/4 + 16*m**3/3 + 5*m**2/2 + 5*m - 9. Let h(t) = -2*b(t) - 5*z(t). Factor h(g).
4*g**2*(g + 2)
Let v(k) = 2*k**2 - 16*k + 32. Let z(y) = 2*y**2 - 17*y + 30. Let j(x) = -5*v(x) + 6*z(x). What is i in j(i) = 0?
1, 10
Let q(k) be the first derivative of -k**6/57 + 16*k**5/95 - 13*k**4/38 + 4*k**3/19 + 257. Find z, given that q(z) = 0.
0, 1, 6
Let y = 796/741 - 183/247. Let y - 13/6*h - 1/3*h**2 + 13/6*h**3 = 0. What is h?
-1, 2/13, 1
Let a be (6 - 4) + (-172)/(-56) - 5. Let q(i) be the first derivative of a*i**4 + 0*i + 4/21*i**3 + 4 + 1/7*i**2. Determine u, given that q(u) = 0.
-1, 0
Suppose -6*n - 6*n + 60 = 0. Suppose 14 = 4*f + 2*g, -2 = n*f - 2*g - 6. Suppose 1/5*o**f - 1/5*o + 1/5*o**3 - 1/5 = 0. What is o?
-1, 1
Let r(n) = -n + 10. Let t be r(7). Let s(y) = -7*y + 49. Let d be s(7). Solve d + 0*v + 1/5*v**t + 0*v**2 + 1/5*v**5 - 2/5*v**4 = 0.
0, 1
Let w = 77 + 1. Let l = 392/5 - w. Factor l*q**2 - 2/5*q**3 - 1/5 + 1/5*q - 1/5*q**4 + 1/5*q**5.
(q - 1)**3*(q + 1)**2/5
Let w(y) be the second derivative of 2*y**6/35 + 5*y**5/14 + 17*y**4/21 + 17*y**3/21 + 2*y**2/7 - 142*y + 2. Find i such that w(i) = 0.
-2, -1, -1/6
Let w(f) be the second derivative of 81/50*f**5 + 0 - 40*f - 212/15*f**3 + 24/5*f**2 + 15*f**4. Let w(p) = 0. What is p?
-6, 2/9
Find q, given t