 24 + 1/12*o**3 + 3/2*o**2. Factor d(w).
(w + 6)**2/4
Let m(a) be the second derivative of a**7/2520 - a**6/1080 - a**5/180 - 5*a**3/3 - 3*a. Let b(g) be the second derivative of m(g). Solve b(z) = 0 for z.
-1, 0, 2
Factor 136/7 - 76/7*t + 4/7*t**3 - 64/7*t**2.
4*(t - 17)*(t - 1)*(t + 2)/7
Let f = -13 + 18. Suppose x + 2*x - f = 4*o, -x = 2*o - 5. Factor -2/15*g**2 + 2/15 - 2/15*g**x + 2/15*g.
-2*(g - 1)*(g + 1)**2/15
Let y be (2/4)/((-35)/(-4060)). Let s be (-22)/(-55) + y/30. Factor -2*m**3 - s*m**2 + 1/3*m + 2/3.
-(m + 1)*(2*m - 1)*(3*m + 2)/3
Let g(q) be the first derivative of q**4 - 64*q**3/3 + 146*q**2 - 360*q - 409. Factor g(y).
4*(y - 9)*(y - 5)*(y - 2)
Let v(c) be the second derivative of c**3/6 - 7*c**2/2 + 10*c. Let x be v(7). Determine y so that -14 - 8 + 24 - y**3 + x*y**3 + 3*y = 0.
-1, 2
Find h, given that -198 + 195*h + h**2 - 8*h**2 + 6*h**2 + 6*h**2 - 2*h**2 = 0.
-66, 1
Factor -q - 1/7*q**3 - 8/7*q**2 + 0.
-q*(q + 1)*(q + 7)/7
Suppose -96/7 + 99/7*u - 3/7*u**2 = 0. What is u?
1, 32
Let w(t) be the second derivative of 1/36*t**3 + 1/12*t**2 - 1/60*t**5 + 1/252*t**7 - t - 1/36*t**4 + 0 + 1/180*t**6. Factor w(c).
(c - 1)**2*(c + 1)**3/6
Let q(p) = p**2 - 2*p - 45. Suppose 0 = -2*r - 3*r - 30. Let l be q(r). Suppose -18*a**2 + 0 + 0*a + 18*a**l - 6*a**4 + 2/3*a**5 = 0. Calculate a.
0, 3
Find b such that -3/4*b**5 + 9/4*b**4 + 9/4 + 3/2*b**3 - 9/2*b**2 - 3/4*b = 0.
-1, 1, 3
Let n(v) be the third derivative of v**5/450 + 23*v**4/45 + 2116*v**3/45 + v**2 + 20*v. Factor n(j).
2*(j + 46)**2/15
Let d(g) = -g**2 - g + 4. Let s(l) be the third derivative of -l**5/15 - l**4/6 + 17*l**3/6 + 12*l**2. Let u(m) = 18*d(m) - 4*s(m). Solve u(k) = 0 for k.
-2, 1
Suppose -64 = -63*p + 55*p. Let s be p/2 + (-4 - (1 - 1)). Factor -1/7*i**3 + 0*i - 1/7*i**2 + s.
-i**2*(i + 1)/7
Find o such that -10/9*o**2 - 1/9*o + 10/9 + 1/9*o**3 = 0.
-1, 1, 10
Let p(o) be the second derivative of -26*o + 1/20*o**4 + 0 - 1/2*o**2 + 7/15*o**3. Factor p(g).
(g + 5)*(3*g - 1)/5
Solve -32 + 116*k + 257*k**2 - 129*k**2 + 150 - 130*k**2 = 0 for k.
-1, 59
Let a = 1765 + -1765. Factor 0*c + a + 1/2*c**2.
c**2/2
Let w(f) be the third derivative of f**7/210 + f**6/60 - 7*f**5/15 + 23*f**4/12 - 7*f**3/2 - 7*f**2 + 15*f. Suppose w(i) = 0. What is i?
-7, 1, 3
Let c(k) be the first derivative of 3*k**2 - 3/2*k**3 + 3*k + 1/4*k**4 - 5. Let i(g) be the first derivative of c(g). Solve i(x) = 0.
1, 2
Suppose s + 1 = 5. Suppose 3*b - 2 = 1, 4*y - 4 = s*b. Solve 2/3*k**y + 4*k + 6 = 0.
-3
Let g = -3999 - -4001. Factor -1 - 5/6*w - 1/6*w**g.
-(w + 2)*(w + 3)/6
Let f(j) = 73*j**2 + j - 2. Let k be f(1). Suppose k = 2*h - 10. Find p such that -48*p + 40*p**3 + 17*p**3 + 8 + h*p**3 - 5*p**2 + 47*p**2 = 0.
-1, 2/7
Let m(z) be the third derivative of 0 + 0*z - 1/40*z**5 + 1/120*z**6 + 0*z**4 + 7*z**2 + 1/6*z**3. Let x(u) be the first derivative of m(u). Factor x(y).
3*y*(y - 1)
Let v(g) = 2*g**2 - g + 2. Let y be (-5)/(15/9)*-1. Let d be v(y). Suppose -17*q - 12*q + 16*q**3 + 9*q - q**4 - 8*q**2 + 4*q**5 + d*q**4 - 8 = 0. Calculate q.
-2, -1, 1
Suppose 2*f = j - 1, 4*j - 23 - 7 = -5*f. Factor 2/9*x**f + 2/9*x - 4/9.
2*(x - 1)*(x + 2)/9
Factor 576/5*d**2 - 22/5*d**3 + 0 - 104/5*d.
-2*d*(d - 26)*(11*d - 2)/5
Let 960/7 - 336*t + 1887/7*t**2 - 3/7*t**5 - 561/7*t**3 + 69/7*t**4 = 0. Calculate t.
1, 5, 8
Let k(z) be the second derivative of 27/2*z**2 + 15/2*z**3 + 7/4*z**4 + 3/20*z**5 + 0 + 34*z. Factor k(r).
3*(r + 1)*(r + 3)**2
Let g(r) = -r**2 - 29*r. Let j be g(-29). Let p(w) be the second derivative of -9/4*w**2 + 7/4*w**3 + 3/40*w**5 - 11*w - 5/8*w**4 + j. Solve p(q) = 0 for q.
1, 3
Suppose 112 = -4*r - 3*z, 2*r + 4*z = 2*z - 58. Let t = -173/7 - r. Solve -2/7 - 2/7*w + 2/7*w**2 + t*w**3 = 0 for w.
-1, 1
Suppose 3*l - 6*l + 15 = 0. Let x**3 + l*x + 4 - 11*x + 5*x**3 - 2*x**2 - 2*x**4 = 0. What is x?
-1, 1, 2
Let r(l) be the first derivative of 21*l**6/10 - 39*l**5/5 - 9*l**4/4 + 13*l**3 - 9*l**2/5 + 12. Solve r(j) = 0 for j.
-1, 0, 2/21, 1, 3
Let a be 3/(-3) + 2 - -27. Suppose 0 = -2*y - 0*m - 4*m + a, -10 = -2*m. Factor -12*p - 2*p**3 + 18*p**2 + 4 - 2*p**3 - 2 - y*p**3.
-2*(p - 1)**2*(4*p - 1)
Let b(h) be the first derivative of 4/3*h**3 + 0*h + 5/2*h**4 - 6 + 0*h**2 + 1/3*h**6 + 8/5*h**5. Factor b(w).
2*w**2*(w + 1)**2*(w + 2)
Factor 37*f**3 - 9*f**2 + 9 + 0*f - 3*f - 34*f**3.
3*(f - 3)*(f - 1)*(f + 1)
Factor -2/3*f**2 - 2*f + 2/9*f**3 - 10/9.
2*(f - 5)*(f + 1)**2/9
Suppose -4*k + 8 = -x - 2*k, 0 = -5*x + k - 4. Let l be (-3)/(-9) + x + 1/3. What is i in -1/6*i - l*i**2 + 1/2*i**3 + 1/3 = 0?
-2/3, 1
Suppose -5 = 3*h + 25. Let m = 12 + h. Solve 2*q**2 + 7*q**2 - q**2 - 2*q**m - 4 + 2*q = 0 for q.
-1, 2/3
Let c = 6 + -16. Let t = c + 14. Solve -2*l**4 - l**t - 15*l**2 - 12*l**3 - 10*l + 4*l = 0 for l.
-2, -1, 0
Let u(m) = -450*m - 7644. Let z be u(-17). Factor -z - 2/3*x**2 - 4*x.
-2*(x + 3)**2/3
Let n(u) be the first derivative of -u**6/9 + 4*u**5/15 + u**4/2 - 8*u**3/9 - 4*u**2/3 - 507. Factor n(t).
-2*t*(t - 2)**2*(t + 1)**2/3
Let g(u) = -9*u**5 - 9*u**4 + 6*u**3 + 17*u**2 - 3*u - 7. Let d(m) = -4*m**5 - 4*m**4 + 3*m**3 + 8*m**2 - m - 3. Let x(z) = -7*d(z) + 3*g(z). Factor x(y).
y*(y - 2)*(y + 1)**3
Let u(j) be the first derivative of 5/8*j**2 - 1 + 5/12*j**3 + 0*j. Factor u(v).
5*v*(v + 1)/4
Let i = -9 - -21. Suppose -i*w = -4*w - 16. Factor -2/5*q**w + 6/5 + 4/5*q.
-2*(q - 3)*(q + 1)/5
Let s(r) = -74*r - 1774. Let g be s(-24). Find x such that 2/11*x**g + 0*x - 8/11 = 0.
-2, 2
Factor -893*z + 3*z**2 + 465*z - 9*z + z**2 + 106276 - 867*z.
4*(z - 163)**2
Let p = -51 + 58. Let c be (-5)/(-9) - (-21)/p. Determine o so that -32/9 - 2/9*o**5 + 16/9*o**2 - c*o**3 + 32/9*o + 14/9*o**4 = 0.
-1, 2
Suppose -3*c - 18 = -4*h, h + 5*c - 3*c + 1 = 0. Let n(d) be the second derivative of -4*d - 1/2*d**4 + 1/10*d**5 - d**2 + 0 + d**h. Factor n(p).
2*(p - 1)**3
Solve 4 + 7/3*y + 1/3*y**2 = 0 for y.
-4, -3
Let m be (-20)/(-32)*8/80. Let t(q) be the second derivative of 17/48*q**4 + 0 - 5*q + 1/2*q**2 + 2/3*q**3 + m*q**5. Find r, given that t(r) = 0.
-2, -1, -2/5
Let k = 41365/4 + -10333. Factor -3/2 - k*h - 27/4*h**2.
-3*(h + 1)*(9*h + 2)/4
Let u = 412/6255 + 1/1251. Let f(n) be the third derivative of 0*n + u*n**5 + 0 + 3*n**2 - 2/3*n**3 + 0*n**4. Factor f(d).
4*(d - 1)*(d + 1)
Suppose 15 = 3*i, 3*i + 0*i = 4*h + 59. Let l(a) = a + 14. Let s be l(h). Factor -9*v + 3*v + 3*v**3 + 0*v + s*v**4 + 3*v - 3*v**2.
3*v*(v - 1)*(v + 1)**2
Suppose 3*x = -3*x - 552. Let v = x - -278/3. Factor 0 - v*i**2 + 0*i.
-2*i**2/3
Let g = -17142 - -291418/17. Solve -2/17*d**2 + 0 + g*d = 0.
0, 2
Let f(s) be the third derivative of -s**6/60 - 23*s**5/5 - 529*s**4 - 97336*s**3/3 + 154*s**2. Suppose f(m) = 0. What is m?
-46
Factor 0 - 2/9*x**2 + 8/3*x.
-2*x*(x - 12)/9
Let t(i) = -i**4 + i**3. Suppose 6*h + 8 = -2*h. Let a(d) = -20*d**3 + 15*d**2 + 15*d - 10. Let k(f) = h*a(f) + 15*t(f). Factor k(m).
-5*(m - 1)**3*(3*m + 2)
Let n be (10/(-30))/(10/(-12)). Suppose 4/5*u**3 - n*u**4 + 0 + 1/10*u - 1/2*u**2 = 0. Calculate u.
0, 1/2, 1
Find h, given that -45*h**2 - 3*h**2 - 21*h**2 - 21*h**3 + 6*h - 15*h**3 = 0.
-2, 0, 1/12
Let l = 1965 - 1957. Factor -4*h**2 - 2*h**3 + 4*h + 1/2*h**4 + l + 1/4*h**5.
(h - 2)**2*(h + 2)**3/4
Let f(i) be the first derivative of 6*i**5/25 - 3*i**4/10 - 6*i**3/5 + 3*i**2 - 12*i/5 - 86. Suppose f(r) = 0. Calculate r.
-2, 1
Suppose -22*k - 24 = -23*k. Factor 7*h**2 + 4*h**2 - k*h + 20 - 7*h**2.
4*(h - 5)*(h - 1)
Let n = -523 - -4711/9. Factor -4/9*q - 2/9*q**2 + n*q**3 + 0 + 2/9*q**4.
2*q*(q - 1)*(q + 1)*(q + 2)/9
Let r(l) be the second derivative of l**6/6 + 9*l**5/4 + 55*l**4/6 - 80*l**2 + 21*l - 5. Factor r(q).
5*(q - 1)*(q + 2)*(q + 4)**2
Let i = 12 - 29. Let b = i + 17. Let -24*n + b + 9 - 9*n**2 - 6 + 6 = 0. What is n?
-3, 1/3
Let k(a) be the second derivative of a**5/30 - 2*a**4/3 + 16*a**3/3 - 64*a**2/3 - 8*a + 4. Solve k(h) = 0.
4
Let p = -22985/7 + 3284. Factor -2/7 + p*u - 1/7*u**2.
-(u - 2)*(u - 1)/7
Let l = 4710 + -4707. Suppose 1/3*z**l + 0*z - z**2 + 4/3 = 0. Calculate z.
-1, 2
Let c = 3727/2 + -1795. Let a = -895/14 + c. Factor 80/7*j**2 + 4/7 - a*j**3 - 34/7*j.
-2*(j - 2)*(4*j - 1)**2/7
Let d(i) be the first derivative of 0*i - 2 + 0*i**4 - 2/7*i**2 - 2/7*i**3 + 2/35*i**5. Factor d(