**2 + 24/17*y + 2/17*y**3 + 0.
2*y*(y - 12)*(y - 1)/17
Let h be (-11*(-3)/66)/((-2)/(-8)). Solve 6/19*c**h + 4/19*c + 0 = 0.
-2/3, 0
Find k, given that 14 + 62/3*k + 22/3*k**2 + 2/3*k**3 = 0.
-7, -3, -1
Let r(t) = -21*t**3 + 2 + 20*t**3 - 3. Let q(v) = 4*v**3 - 4*v**2 + 6. Let i(x) = -2*q(x) - 12*r(x). Factor i(a).
4*a**2*(a + 2)
Factor -768/7 + 832/7*t - 44/7*t**2 - 22/7*t**3 + 2/7*t**4.
2*(t - 8)**2*(t - 1)*(t + 6)/7
Let d(g) be the second derivative of -4*g - 1/15*g**6 - 1/6*g**4 + 0 + 0*g**3 + 0*g**2 + 1/5*g**5. Factor d(f).
-2*f**2*(f - 1)**2
Let t(c) be the first derivative of -c**4/3 + 4*c**3 - 18*c**2 + 11*c - 2. Let w(o) be the first derivative of t(o). Factor w(u).
-4*(u - 3)**2
Suppose -2*x + 10 = 4*t - 12, 5*t - 4*x = 21. Suppose r - 21 = -3*a, 2*a + 46 - t = 3*r. Factor 3*s**3 - 5*s**3 + 0 - 12*s**2 + 5*s**3 + r*s - 6.
3*(s - 2)*(s - 1)**2
Let z = -12314 + 12316. Find v, given that -1/3*v**3 + 2/3*v**4 - 2/3*v**z + 1/3*v + 0 = 0.
-1, 0, 1/2, 1
Let a(o) = 10*o**2 - 395*o + 64. Let y(l) = 36*l**2 - 1578*l + 255. Let s(j) = -9*a(j) + 2*y(j). Solve s(r) = 0 for r.
1/6, 22
Let g be -6*6/12 - (1 + -20). Suppose g*v - 17*v + 2 = 0. Factor -1/4*q**v + 1/2*q - 1/4.
-(q - 1)**2/4
Let h(j) be the second derivative of -j**4/36 - 37*j**3/18 + 5*j - 4. Factor h(x).
-x*(x + 37)/3
Let b(z) be the second derivative of -z**6/18 + 4*z**5/15 + 17*z**4/36 - 2*z**3/9 + 46*z - 4. Let b(g) = 0. Calculate g.
-1, 0, 1/5, 4
Let j(f) be the first derivative of -5*f**3/3 - 87*f**2/2 - 405*f - 42. Let w(t) = 35*t**2 + 610*t + 2835. Let u(a) = -20*j(a) - 3*w(a). Solve u(m) = 0 for m.
-9
Let u(s) = -1. Suppose 31 = 5*g - 3*p, 5*p + 5 = -5*g + 20. Let d(k) = -9*k**2 - 6*k + 6. Let j(v) = g*d(v) + 35*u(v). Factor j(a).
-5*(3*a + 1)**2
Suppose -13 = j - 18. Solve -60*d**2 + 13*d**5 + 2*d**3 - 14*d**j + 15*d**4 + 40*d - 4*d**5 + 8*d**3 = 0 for d.
-2, 0, 1, 2
Let t(a) = 2*a - 4. Let x be t(5). Let h be (-63)/(-14)*4/x. Factor -3*c**4 - 3*c**4 + 9*c - 2 - 15*c**2 - c**2 + 14*c**h + c**5.
(c - 2)*(c - 1)**4
Let t(z) = -7*z - 2. Let p be t(-2). Suppose m + 6 = p. Factor m*q - 3*q**2 - 1 + 2 - 4.
-3*(q - 1)**2
Let q(l) be the third derivative of 0 + 0*l**5 + 1/105*l**6 + 9*l**2 + 0*l**3 + 2/735*l**7 + 0*l**4 + 0*l. Let q(d) = 0. Calculate d.
-2, 0
Let f(t) be the first derivative of t**8/280 + 3*t**7/280 + t**6/120 + 23*t**3/3 + 21. Let s(q) be the third derivative of f(q). Find y such that s(y) = 0.
-1, -1/2, 0
Suppose l = 6*l - 10. Factor 7*o**4 - o**4 - l*o**5 - 2*o**4.
-2*o**4*(o - 2)
Let n(z) be the first derivative of -3/5*z**5 + 0*z - 4/3*z**3 - 3/2*z**4 - 23 + 0*z**2 - 1/12*z**6. Let n(a) = 0. Calculate a.
-2, 0
Determine v, given that -36*v**4 + 39*v**4 + 3*v**5 + 0*v**4 = 0.
-1, 0
Let m be ((-85)/25 - -3)*-40. Find c, given that m - 30 - c**3 + c**2 + 14 = 0.
0, 1
Let c(l) be the third derivative of 0 - 2/35*l**5 + 3/70*l**6 + 1/42*l**4 + 0*l - 8/735*l**7 + 0*l**3 + 5*l**2. Factor c(q).
-4*q*(q - 1)**2*(4*q - 1)/7
Let f be -2 + (-12 - (-468)/30). Find y, given that -28/5*y + f + 4*y**2 = 0.
2/5, 1
Let 0 + 2/11*a**3 - 2*a - 20/11*a**2 = 0. Calculate a.
-1, 0, 11
Determine u so that -132/5 - 2/5*u**2 - 14*u = 0.
-33, -2
Let 25/3 - 1/6*p**2 - 23/6*p = 0. Calculate p.
-25, 2
Let t = -123 + 123. Let q = 131/192 + -1/64. Factor t - 4/3*c**4 - 2/3*c + 4/3*c**2 + 0*c**3 + q*c**5.
2*c*(c - 1)**3*(c + 1)/3
Let a(t) be the second derivative of t**5/70 - 185*t**4/42 + 403*t**3 + 8649*t**2/7 - 866*t. Factor a(x).
2*(x - 93)**2*(x + 1)/7
What is b in 15*b**3 - 17*b**2 + 90*b - 175*b - 3*b**4 - b**2 + 85*b = 0?
0, 2, 3
Let g(f) be the first derivative of -f**3/4 - 9*f**2/8 - 3*f/2 + 281. Factor g(b).
-3*(b + 1)*(b + 2)/4
Let h(i) be the first derivative of -i**4/6 - 20*i**3/9 - 32*i**2/3 - 64*i/3 - 482. Determine u so that h(u) = 0.
-4, -2
Let o(y) be the second derivative of 7/15*y**3 - 2/5*y**2 - 1/10*y**4 - 7/50*y**5 + 1/15*y**6 + 0 + 7*y. Find n, given that o(n) = 0.
-1, 2/5, 1
Let u(f) be the first derivative of 3*f**5/4 - 39*f**4/16 + 11*f**3/4 - 9*f**2/8 + 127. Factor u(t).
3*t*(t - 1)**2*(5*t - 3)/4
Let h be (-580)/6*(-362)/5430. Determine j, given that -10*j**2 + 96 + 2/9*j**4 - 48*j + h*j**3 - 2/9*j**5 = 0.
-4, 3
Let p(f) be the third derivative of -f**6/288 + f**5/32 + 31*f**3/6 + 7*f**2 - 4*f. Let r(a) be the first derivative of p(a). Factor r(w).
-5*w*(w - 3)/4
Let q(a) be the second derivative of 0 + 0*a**2 + 0*a**3 + 1/27*a**4 - 10*a. Factor q(o).
4*o**2/9
Factor 5209*m + 82*m**2 + 2*m**3 - 332750 + 8296*m - 70*m**2 - 342*m**2 + 4645*m.
2*(m - 55)**3
Factor 3*m**3 - 5*m**3 - 6*m**3 - 164*m**4 + 165*m**4 - 7*m**2 + 14*m**3.
m**2*(m - 1)*(m + 7)
Let b(a) = a**2 - 3*a - 70. Let k be b(10). Determine v, given that 0*v + 1/3*v**2 + k = 0.
0
Suppose 21*u**2 + 28*u**2 + 30 + 74 - 29*u**2 - 19 - 345*u = 0. Calculate u.
1/4, 17
Let v(x) be the third derivative of 17*x**2 + 0*x + 1/6*x**4 - 1/30*x**6 + 1/105*x**7 - 1/30*x**5 + 0 + 0*x**3. Factor v(y).
2*y*(y - 2)*(y - 1)*(y + 1)
Let z(k) = -k**3 + 9*k**2 - 10*k + 16. Suppose 2*q - 3*q = -8. Let x be z(q). Solve 2*g**2 + 2/5*g + x = 0 for g.
-1/5, 0
Let m = -43 + 49. Suppose -m*i + 3 + 9 = 0. What is p in 0*p + 1/2*p**3 + 0 + 1/2*p**i = 0?
-1, 0
Suppose 10*u - 6 = 7*u + b, -u = -4*b - 24. Factor 4/15*g**3 + u + 2/15*g + 2/5*g**2.
2*g*(g + 1)*(2*g + 1)/15
Let a(t) be the second derivative of 3*t**5/20 - 221*t**4/4 + 12099*t**3/2 + 36963*t**2/2 + 661*t. Find y, given that a(y) = 0.
-1, 111
Let k(o) be the second derivative of 2*o**6/45 + 4*o**5/15 + o**4/3 - 8*o**3/9 - 8*o**2/3 + 68*o. Factor k(t).
4*(t - 1)*(t + 1)*(t + 2)**2/3
Suppose -2*h = 4*z, -3*z - 6*h = -10*h. Let n(w) be the third derivative of 1/96*w**4 + z*w + 0*w**3 - 1/240*w**5 + 5*w**2 + 0. Find c, given that n(c) = 0.
0, 1
Suppose 14*h = 6*h - 312. Let s = h + 83/2. Suppose q**2 + 3/2*q**4 + 0*q + s*q**3 + 0 = 0. Calculate q.
-1, -2/3, 0
Let v(k) be the third derivative of 0 - 6*k**2 + 0*k - 1/20*k**5 + 0*k**4 + 0*k**3. Suppose v(z) = 0. What is z?
0
Suppose 3*n - 12 = -3*o, -19 + 1 = -3*n + 3*o. Factor -5/3*y**4 + 0 - 4/3*y**3 - 2/3*y**n - 1/3*y**2 + 0*y.
-y**2*(y + 1)**2*(2*y + 1)/3
Solve -63 - 104*h**2 - 112*h**2 + 217*h**2 + 18*h = 0 for h.
-21, 3
Let s be 3/(-9)*-3 - 0. Let o(f) = 3*f**3 + 2*f**2 - f. Let d be o(s). Factor 4*w**4 - 2*w**5 + 0*w**d - 2*w**3 + 0*w**5.
-2*w**3*(w - 1)**2
Let v(y) = y**3 - 12*y**2 - 13*y + 2. Let q be 7/(-21) - (-80)/6. Let a be v(q). Suppose -16*j + 5 - 9 + 6*j**a + 2 - 4 = 0. Calculate j.
-1/3, 3
Suppose -3*j = -4*j. Suppose 2*w - 5*w + 9 = j. Factor -120 - 2*c**w - 8 - 134*c + 38*c - 24*c**2.
-2*(c + 4)**3
Let a(p) be the second derivative of -p**5/80 - 5*p**4/12 + 370*p. Factor a(u).
-u**2*(u + 20)/4
Let h(v) be the third derivative of -v**6/180 - v**5/60 + v**4/2 - v**3/6 - 23*v**2. Let m(u) be the first derivative of h(u). Factor m(y).
-2*(y - 2)*(y + 3)
Suppose 3*a + 5*f + 11 = a, 4*f = 2*a - 16. Let o**2 + 18*o**4 - 9*o**4 - 3*o**5 + a*o**2 - 12*o**4 + 3*o**3 = 0. Calculate o.
-1, 0, 1
Let p(w) = 14*w**2 - 27*w - 8. Let g(h) = 84*h**2 - 161*h - 48. Let n be -3 - (2 - 2) - -15. Suppose -2*b = n + 56. Let y(a) = b*p(a) + 6*g(a). Factor y(c).
4*(c - 2)*(7*c + 2)
Let z = 7831/35 - 1118/5. Factor 2/7*s - z*s**2 + 0.
-s*(s - 2)/7
Let q be (-24)/30 + (-8)/3. Let r = 19/5 + q. Find d, given that 0*d**3 - r*d**4 - 1/3 + 2/3*d**2 + 0*d = 0.
-1, 1
Suppose -2*n + 0*k - k = -5, n = -2*k + 4. Factor -40*t + 20*t**3 + 75*t**2 + 80*t + 54 - 3*t**n + 2*t**4 + 68*t.
2*(t + 1)*(t + 3)**3
Let g be (9 + -3)*(0 + (-2)/(-4)). Suppose 2*b = -2*w + 16, g*b - 5*w = -7 - 9. Suppose -4/15*c**2 + 2/15*c**b + 4/15 - 2/15*c = 0. What is c?
-1, 1, 2
Let s(d) = -d**2 + 95*d + 1052. Let a(g) = -g**2 + g - 2. Let v(w) = 6*a(w) - 2*s(w). Determine q, given that v(q) = 0.
-23
Let f(u) be the second derivative of 0 - 6*u**2 - 10/3*u**3 + 1/5*u**5 + 9*u - 1/3*u**4. Factor f(o).
4*(o - 3)*(o + 1)**2
Suppose -5*o = 2*j + 12, -2*o - 2*o = 3*j + 4. Let v be (-7)/(-4) + (-1)/o. Factor -2*g**3 - 2*g**2 + 3*g**2 + 6*g**3 - 3*g**4 - 2*g**v.
-g**2*(g - 1)*(3*g - 1)
Let z(v) = -2*v**3 + 56*v**2. Let o be z(28). Let h(f) be the third derivative of 1/8*f**3 + 5*f**2 + 1/240*f**5 + 0 + o*f - 1/24*f**4. Factor h(g).
(g - 3)*(g - 1)/4
Let u(k) = -16*k**3 + 157*k**2