) = n**5 + 4*n**4 - 4*n**3 - 8*n**2 - 4*n + 4. Let o(s) = -20*a(s) + 5*p(s). Let o(v) = 0. What is v?
-4, 0
Let k(j) be the second derivative of -j**4/42 - 2*j**3/7 - j + 31. Suppose k(x) = 0. What is x?
-6, 0
Determine d, given that -3/7*d**4 + 0 + 48/7*d**3 - 45/7*d**2 + 0*d = 0.
0, 1, 15
Let r(o) = o**3 - 50*o**2 - 133*o + 4185. Let c be r(51). Let 0 + 2/17*q**2 + 2/17*q**c - 4/17*q = 0. What is q?
-2, 0, 1
Let k = -52 - -55. Let 2*c**4 + 3*c**3 - 6*c**2 + 2*c**k - 3*c**3 + 2*c**3 = 0. Calculate c.
-3, 0, 1
Let o(i) be the third derivative of 7*i**6/300 + 23*i**5/150 + 5*i**4/12 + 3*i**3/5 + 11*i**2 - 4*i. Solve o(n) = 0 for n.
-9/7, -1
Let q(o) be the second derivative of 343*o**6/120 + 539*o**5/40 - 91*o**4/4 + 41*o**3/3 - 4*o**2 - 14*o + 1. Solve q(d) = 0 for d.
-4, 2/7
Let i(k) be the first derivative of k**5/5 + 15*k**4/4 + 16*k**3 + 22*k**2 - 74. Factor i(f).
f*(f + 2)**2*(f + 11)
Let y(k) be the third derivative of -k**9/18144 + k**7/2520 - k**5/720 + 7*k**3/6 - 14*k**2. Let b(o) be the first derivative of y(o). Solve b(u) = 0 for u.
-1, 0, 1
Let m(a) = -a + 1. Let x be m(-1). Factor -21*d**x - d**3 - 27 + 4*d**3 + 51*d - 6*d**3 + 0*d**3.
-3*(d - 1)**2*(d + 9)
Suppose -48/5*l + 0 + 4*l**3 - 2/5*l**5 - 8/5*l**2 + 2/5*l**4 = 0. Calculate l.
-2, 0, 2, 3
Let q(f) = -f - 2. Let t be q(-8). Let c be (t/(-3) + 2)/1. Factor c + 2/7*w**2 - 2/7*w.
2*w*(w - 1)/7
Let c(z) = -7*z**2 + 20*z - 8. Let n(k) = -7*k**2 + 21*k - 9. Let v = -32 - -36. Let d(l) = v*n(l) - 5*c(l). Solve d(f) = 0.
2/7, 2
Let j(h) = -9*h**3 - 120*h**2 + 251*h - 126. Let m(l) = 8*l**3 + 120*l**2 - 252*l + 127. Let r(g) = -3*j(g) - 4*m(g). Suppose r(n) = 0. What is n?
-26, 1
Let m(y) = -4*y**4 - 40*y**3 - 127*y**2 - 160*y - 54. Let g(a) = 4*a**4 + 40*a**3 + 128*a**2 + 160*a + 56. Let s(x) = -5*g(x) - 4*m(x). Factor s(i).
-4*(i + 1)**2*(i + 4)**2
Suppose -67*k + 9 = -64*k. Let y(q) = 7*q**3 + 64*q**2 + 253*q + 3. Let b(h) = 8*h**3 + 64*h**2 + 252*h + 4. Let l(f) = k*b(f) - 4*y(f). What is j in l(j) = 0?
-8, 0
Let t(k) be the second derivative of 0*k**3 + 0*k**2 + 0 - 1/72*k**4 + 1/120*k**5 - 16*k - 1/252*k**7 + 1/180*k**6. Factor t(g).
-g**2*(g - 1)**2*(g + 1)/6
Factor -68*r - 2*r**4 + 68*r + 4*r**2 + 2*r**3.
-2*r**2*(r - 2)*(r + 1)
Let a be ((-180)/1)/(-3) - 4. Factor 8*b**3 + 55*b + a*b + 10*b**2 + 2*b**4 - 107*b.
2*b*(b + 1)**2*(b + 2)
Factor 1/2*x**4 - 1/2*x**2 + 0 + x**3 - x.
x*(x - 1)*(x + 1)*(x + 2)/2
Let r = -34 + 37. Factor 3*k**2 + 6*k**4 + 3*k**2 - 4*k + 30*k**r - 14*k**3.
2*k*(k + 1)*(k + 2)*(3*k - 1)
Let g(s) be the second derivative of 5 + 0*s**2 + 5/78*s**4 + 1/65*s**5 - 2/39*s**3 + 3*s - 1/39*s**6. Let g(y) = 0. Calculate y.
-1, 0, 2/5, 1
Let n be (26/351 - 70/216)*-6. Factor -1/2*y + 3/2*y**4 - n*y**2 + 0 + 1/2*y**3.
y*(y - 1)*(y + 1)*(3*y + 1)/2
Let o be 3/(3/10 + (-153)/(-340)). Factor 128*g**2 + 32/3*g**3 + 2048/3*g + 1/3*g**o + 4096/3.
(g + 8)**4/3
Let s(o) = 1 - 2*o + 4*o - 5. Let n be s(3). Factor 0*m**4 + 0*m - 4*m**4 + n*m**3 - 2*m**2 + 6*m**4 - 2*m.
2*m*(m - 1)*(m + 1)**2
Let x(u) be the first derivative of 2/3*u**3 - 7/2*u**2 - 18 - 4*u. Suppose x(i) = 0. What is i?
-1/2, 4
Let i be (-4 + (-52)/(-8))/8. Let f = i - -1/48. Factor 2*n**2 - 4*n - f*n**3 + 8/3.
-(n - 2)**3/3
Suppose -8 = -7*n + 5*n. Factor -9*v**4 + 8*v**3 - 7*v**2 + n - 12*v + 14*v**2 - 3*v**4 + v**2 + 4*v**5.
4*(v - 1)**4*(v + 1)
Let z = -12885 + 12888. Factor -1/2*c**z + 0*c**2 + 0 + 0*c.
-c**3/2
Solve 38/9*g - 8/3 - 8/9*g**2 = 0.
3/4, 4
Let b be (0 - 1)/(7/21). Let a = 9/2 + b. Factor 0*k**2 + 0*k + 0*k**3 + 3*k**4 + 0 - a*k**5.
-3*k**4*(k - 2)/2
Let b(z) be the second derivative of -1/4*z**2 - 1/6*z**3 - 3*z - 5 - 1/24*z**4. Solve b(w) = 0.
-1
Let i(b) be the third derivative of b**5/45 + 118*b**4/9 + 27848*b**3/9 - 345*b**2. Suppose i(k) = 0. Calculate k.
-118
Let x be 244 + 14/(-1 + -6). Let j = -967/4 + x. Factor -1/4*d + 0 + j*d**2.
d*(d - 1)/4
Let a = 295 - 2650/9. Let p(f) be the first derivative of 1/4*f**4 + 1/6*f**2 + 1/3*f - a*f**3 - 4. Suppose p(h) = 0. What is h?
-1/3, 1
Let o(p) be the second derivative of p**5/10 - p**4/2 + 113*p. Solve o(d) = 0 for d.
0, 3
Let y = 6728/7847 - 2/7847. Solve -1/7*r**3 - y*r**2 - 12/7*r - 8/7 = 0 for r.
-2
Suppose 4*o + 5 = g + 6*o, -3*g + 15 = 5*o. Suppose -g + 2 = -h. Factor -8*a**4 + a - 3*a**3 + a + 18*a**h + 2 + 7*a**3 - 18*a**2.
-2*(a - 1)**3*(4*a + 1)
Suppose -4*z + 13 = -5*q, -3*z - 1214*q = -1215*q - 7. Determine x so that 20/7*x + 18/7 + 2/7*x**z = 0.
-9, -1
Let y(g) be the first derivative of -5*g**4/4 + 10*g**3/3 - 5*g**2/2 - 116. Let y(z) = 0. What is z?
0, 1
Let c = 17356/3 + -5785. Determine p so that c*p**2 - 3*p + 0 = 0.
0, 9
Let k(d) be the first derivative of -5*d**4/8 + 20*d**3 - 180*d**2 - 228. Let k(i) = 0. Calculate i.
0, 12
Factor 6*c**4 - 482*c + 114*c**3 + 728*c + 363*c**2 - c**4 - 8*c**4.
-3*c*(c - 41)*(c + 1)*(c + 2)
Let u(d) be the third derivative of -d**5/12 - 15*d**4 - 1080*d**3 + 97*d**2. Factor u(x).
-5*(x + 36)**2
Determine x, given that -1/5*x**2 - 7/5*x - 2 = 0.
-5, -2
Let c(m) be the second derivative of 32*m**7/105 + 4*m**6/15 + m**5/15 + m**2 + 7*m. Let n(x) be the first derivative of c(x). Factor n(g).
4*g**2*(4*g + 1)**2
Let b(i) be the third derivative of 0*i**3 + 0*i - 1/8*i**6 + 0 - 8*i**2 + 1/10*i**5 + 0*i**4. Determine u, given that b(u) = 0.
0, 2/5
Let b(f) = -f**3 + f**2 - f - 2. Let x(p) = p**4 - 29*p**3 + 359*p**2 - 1327*p + 8. Let m(z) = -4*b(z) - x(z). Factor m(q).
-q*(q - 11)**3
Suppose 28 = 5*y + j, -y + 4*j + 14 + 0 = 0. What is v in y*v**3 + 3/2*v**4 + 0*v + 6*v**2 + 0 = 0?
-2, 0
Let a(b) be the first derivative of 3/5*b**5 + 22 - 9*b + 2*b**3 + 6*b**2 - 3*b**4. Determine u so that a(u) = 0.
-1, 1, 3
Let z(d) = -4*d**3 + 33*d**2 + 49*d - 79. Let a(y) = -y**3 + 2*y**2 + y - 1. Let u(k) = a(k) + z(k). Factor u(n).
-5*(n - 8)*(n - 1)*(n + 2)
Let z(t) = 6*t + 1. Let j be z(1). Let h = 10 - j. Find l, given that -7*l - h*l**3 + 3 + 12*l**2 + 3 - 8*l = 0.
1, 2
Suppose 28*j + 14*j = -14*j - 0*j. Factor j*v**2 + 1/5*v - 1/5*v**3 + 0.
-v*(v - 1)*(v + 1)/5
Factor -12 + 23*g + 120 - 41*g + 9*g**2 - 150*g.
3*(g - 18)*(3*g - 2)
Let c = 55 - 82. Let g be -3*(-1)/c*-10. Factor -4/9*h**2 - g*h + 8/9*h**3 - 4/9 + 8/9*h**4 + 2/9*h**5.
2*(h - 1)*(h + 1)**3*(h + 2)/9
Factor 58*q + 38*q - 8*q**2 - 80*q + q**3.
q*(q - 4)**2
Let v(i) = -i**2. Let o(m) = -2*m**2 + 26*m + 169. Let l(s) = -s**3 + 11*s**2 + 14*s - 27. Let c be l(12). Let d(y) = c*v(y) + o(y). Factor d(q).
(q + 13)**2
Let q(n) be the third derivative of n**7/3360 + n**6/1440 - 3*n**5/160 - 3*n**4/32 - 7*n**3 - 49*n**2. Let s(x) be the first derivative of q(x). Factor s(h).
(h - 3)*(h + 1)*(h + 3)/4
Let v(b) be the third derivative of b**8/84 - 2*b**7/105 - b**6/30 + b**5/15 - 130*b**2. Factor v(s).
4*s**2*(s - 1)**2*(s + 1)
Let a be 1 - (64/(-16) - 3/(-1)). Let f(j) be the third derivative of -1/30*j**5 + 0*j + 1/315*j**7 + 0*j**3 + 0 - 1/18*j**4 + 0*j**6 + 3*j**a. Factor f(n).
2*n*(n - 2)*(n + 1)**2/3
Suppose 15 = 5*g - 5*p, -6*g + g + 2*p + 12 = 0. What is b in 6/7*b**3 + 170/7*b + 50/7 + 62/7*b**g = 0?
-5, -1/3
Let o(m) be the second derivative of m**6/120 + m**5/10 - 5*m**4/8 + 5*m**3/6 + 16*m. Let q(p) be the second derivative of o(p). Let q(b) = 0. What is b?
-5, 1
Let i(n) = 323*n + 6464. Let l be i(-20). Determine o, given that 14/15*o**l - 4/15*o + 4/15*o**3 + 0 - 14/15*o**2 = 0.
-1, -2/7, 0, 1
Let m = 4902/1535 + 2/307. Factor m*f**2 - 4*f + 8/5 - 4/5*f**3.
-4*(f - 2)*(f - 1)**2/5
Solve -2/9*b**4 + 14/9 - 16/9*b - 4/3*b**2 + 16/9*b**3 = 0.
-1, 1, 7
Suppose 6*g + q = 2*g + 696, 708 = 4*g - 2*q. Solve 19*l**3 - g*l + 15*l**3 - 125 - 55*l**2 - 39*l**3 = 0 for l.
-5, -1
Factor -21*r**5 - 4653 + 4653 - 6*r**2 - 33*r**3 - 48*r**4.
-3*r**2*(r + 1)**2*(7*r + 2)
Solve 8/3*q**4 + 0*q + 10/3*q**3 - 2/3*q**5 + 0 + 0*q**2 = 0 for q.
-1, 0, 5
Let n(z) be the first derivative of -90*z**5 - 165*z**4/2 + 112*z**3/3 - 4*z**2 - 20. Determine y so that n(y) = 0.
-1, 0, 2/15
Let g be 2/(-13) + (-67)/(-13). What is t in 10*t**4 - 28*t + 38*t + 20*t**2 + 20*t**3 + 2 + 5*t**g - 3*t**5 = 0?
-1
Let r(l) be the second derivative of l**5/70 - l**4/42 + 4*l. Determine z, given that r(z) = 0.
0, 1
Let c = -30 - -34. Let 19*y**2 - 10 + 42 - c*y**3 + 7*y**2 - 