 x(g) = -g**3 + g**2 + 1. Let v(u) = 2*u**4 - 27*u**3 + 23*u**2 + 30*u - 31. Let b(y) = -v(y) - 3*x(y). Factor b(i).
-2*(i - 14)*(i - 1)**2*(i + 1)
What is x in 3/2*x**2 + 7 + 23/2*x = 0?
-7, -2/3
Let k(f) be the third derivative of -125*f**6/24 - 365*f**5/12 + 149*f**4/24 - f**3/2 + 161*f**2. Let k(d) = 0. Calculate d.
-3, 1/25
Let -60*q**2 - 262 - 4*q**3 - q**3 + 38 - 225*q - 46 = 0. Calculate q.
-6, -3
Let w(u) = -4*u**3 + 204*u**2 - 3461*u + 19645. Let o(v) = -2*v**3 + 102*v**2 - 1731*v + 9823. Let n(p) = -7*o(p) + 3*w(p). Factor n(t).
2*(t - 17)**3
Let o(r) be the second derivative of 11*r**4/60 + r**3/2 + 2*r**2/5 + 236*r. Factor o(l).
(l + 1)*(11*l + 4)/5
Let u(q) be the first derivative of 10*q**2 - q**5 - 40/3*q**3 + 4 + 25/4*q**4 + 0*q. Let u(p) = 0. What is p?
0, 1, 2
Let z(d) be the second derivative of -2*d**6/3 + 5*d**5/4 + 55*d**4/6 - 50*d**3/3 - 60*d**2 + 127*d. Suppose z(l) = 0. Calculate l.
-2, -3/4, 2
Let i(d) be the third derivative of 0*d + 0 - 1/5*d**5 - 1/24*d**6 + 1/2*d**4 + 4*d**2 - d**3. Let q(j) be the first derivative of i(j). What is l in q(l) = 0?
-2, 2/5
Let u(q) = q**2 + 4*q - 3. Let m be u(-5). Factor 18*l**4 - 5*l**5 - 3*l**4 + 0*l**m - 15*l**3 + 3*l**2 + 2*l**2.
-5*l**2*(l - 1)**3
Let d be 20/(-24)*(-2 - 178/(-10)). Let r = -263/30 - d. Factor -r*l**3 - 2/5*l + 2/5 - 18/5*l**2 - 8/5*l**4.
-2*(l + 1)**3*(4*l - 1)/5
Factor 2/9*z**2 + 128/9 + 32/9*z.
2*(z + 8)**2/9
Let j(n) be the third derivative of -n**8/131040 + n**7/10920 - n**6/2340 + 11*n**5/60 + 13*n**2. Let g(u) be the third derivative of j(u). Factor g(l).
-2*(l - 2)*(l - 1)/13
Let w(r) be the second derivative of r**5/60 + r**4/12 + r**3/6 + r**2/6 - 307*r. Solve w(b) = 0 for b.
-1
Let 0 - 2/5*a**2 + 4/5*a = 0. What is a?
0, 2
Suppose p - 2*k - 29 + 27 = 0, k + 15 = 4*p. Factor -4/3 - p*j**4 - 32/3*j**2 + 2/3*j**5 + 6*j + 28/3*j**3.
2*(j - 2)*(j - 1)**4/3
What is n in -56*n - 420*n**3 + 24/5 + 539/2*n**4 + 236*n**2 - 343/10*n**5 = 0?
2/7, 1, 6
Let t(n) be the second derivative of 0*n**2 + 4*n - 1/32*n**4 + 1/4*n**3 + 0. Factor t(x).
-3*x*(x - 4)/8
Let w(p) = 5*p + 51. Let f be w(-10). Let y be (4 + (-3)/f)*2. Factor -3/4*s**y - 27/4 - 9/2*s.
-3*(s + 3)**2/4
Solve -8/7 - 26/7*m**2 + 8/7*m**5 + 16/7*m**4 - 22/7*m**3 + 32/7*m = 0 for m.
-2, 1/2, 1
Let i(q) be the first derivative of q**4 - 8*q**2 + 55. Determine u, given that i(u) = 0.
-2, 0, 2
Suppose 0*o - 39*o = -61 - 95. Factor -8/5*i**2 - 64/5*i**3 + 0*i - 154/5*i**o + 0 - 98/5*i**5.
-2*i**2*(i + 1)*(7*i + 2)**2/5
Find j such that 4/7*j**2 + 0*j + 8/7*j**4 + 2/7*j**5 + 0 + 10/7*j**3 = 0.
-2, -1, 0
Let h be -4*(7 - 7 - 1). Factor 8/3 + 4/3*b**h + 4/3*b - 4*b**2 - 4/3*b**3.
4*(b - 2)*(b - 1)*(b + 1)**2/3
Let w(q) = -5*q**5 - 21*q**4 + 32*q**3 - 17*q**2 + 7*q - 7. Let z(h) = 3*h**5 + 11*h**4 - 16*h**3 + 8*h**2 - 4*h + 4. Let j(x) = 4*w(x) + 7*z(x). Factor j(g).
g**2*(g - 3)*(g - 2)**2
Let x = -232/9 - -1313/45. Determine f, given that 17/5*f**3 - x*f + f**4 - 6/5 + 1/5*f**2 = 0.
-3, -1, -2/5, 1
Let a = 24 + -71/3. Suppose -2/3 + 2/3*v**2 - a*v + 1/3*v**3 = 0. What is v?
-2, -1, 1
Suppose -4*i + 4*y = -4, 7*y - 3 = i + 4*y. Determine x so that 2*x**5 + x**i - 21*x**4 + 3*x**3 + 13*x**4 + 2*x**5 = 0.
0, 1
Let g(q) be the third derivative of q**7/7560 - q**6/720 + 37*q**4/24 - 26*q**2. Let d(m) be the second derivative of g(m). Determine s, given that d(s) = 0.
0, 3
Let m(b) be the third derivative of b**7/5040 - b**5/240 + b**4/72 - b**3 - 3*b**2. Let z(k) be the first derivative of m(k). Let z(v) = 0. What is v?
-2, 1
Let z be -1 + 1 - (3 - -7). Let i = 12 + z. Let 3 + 4*f + f**2 - 3*f**i - 3 - 2 = 0. What is f?
1
Let j(f) be the first derivative of 0*f**3 + 0*f - 1/180*f**5 - 1/72*f**4 - 2*f**2 + 6. Let p(l) be the second derivative of j(l). What is x in p(x) = 0?
-1, 0
Let g(i) = -1239*i**2 - 5376*i - 5928. Let p(k) = -248*k**2 - 1075*k - 1185. Let t(l) = -5*g(l) + 24*p(l). Let t(m) = 0. What is m?
-20/9
Factor -3/2*g**2 - 45/2*g - 21.
-3*(g + 1)*(g + 14)/2
Let n(p) = p - 8. Let r be n(11). Let a(j) be the third derivative of 0 + 1/3*j**5 + 0*j - 1/6*j**4 - 1/14*j**7 + 5*j**2 - 19/120*j**6 + 0*j**r. Factor a(t).
-t*(t + 2)*(3*t - 1)*(5*t - 2)
Let w(l) be the first derivative of 35*l**4/4 + 80*l**3/3 + 10*l**2 - 63. Factor w(t).
5*t*(t + 2)*(7*t + 2)
Let h(v) = v**2 + 9*v - 358. Let w be h(-24). Factor -6/5*k - 2/5*k**3 - 6/5*k**w - 2/5.
-2*(k + 1)**3/5
Let t(s) = -7*s - 70. Let y be t(-10). Solve 0 + 0*z**4 - 4/3*z**3 + 2/3*z + 2/3*z**5 + y*z**2 = 0.
-1, 0, 1
Let r be 458*((-4)/8 + 1). What is q in 238 - r - 5*q**2 + 6*q - 3*q + q**3 = 0?
-1, 3
Let k(v) be the second derivative of -1/40*v**5 - 1/12*v**4 - 1/12*v**3 + 9*v + 0*v**2 + 0. Factor k(n).
-n*(n + 1)**2/2
Suppose 0 + 0*c - 2/21*c**3 + 58/21*c**2 = 0. What is c?
0, 29
Suppose 4*u = 42 + 14. Suppose 21 = 21*f - u*f. Factor -4/9*b**4 + 2/9*b**5 + 0*b + 2/9*b**f + 0 + 0*b**2.
2*b**3*(b - 1)**2/9
Let w(h) = h**2 - 15*h + 29. Let n be w(13). Factor 378*t**2 - 15*t**3 + 13*t**3 + 648 + n*t**4 + 972*t + 59*t**3.
3*(t + 1)*(t + 6)**3
Let z(h) be the first derivative of -h**3/15 + 3*h**2/5 + 7*h/5 - 171. Factor z(v).
-(v - 7)*(v + 1)/5
Let g = -31 - -33. Factor 5*k**g + 2*k**4 - 3*k**2 - 7*k**4 + 3*k**4.
-2*k**2*(k - 1)*(k + 1)
Let z = -478/5 - -96. What is i in 3/5*i**4 + z*i**3 - 4/5*i**2 - 2/5*i + 1/5 = 0?
-1, 1/3, 1
Let g(k) = 365*k**3 - 745*k**2 + 420*k - 20. Let a(r) = 548*r**3 - 1119*r**2 + 629*r - 30. Let u(f) = 5*a(f) - 7*g(f). Factor u(y).
5*(y - 1)**2*(37*y - 2)
Let h(p) be the second derivative of -20/3*p**3 + 5/2*p**2 - 3 + 55/6*p**4 + 3/2*p**6 - 10*p - 6*p**5. Factor h(y).
5*(y - 1)**2*(3*y - 1)**2
Suppose -6*x + 5*x = -6. Let w = 8 - x. Let -2*f - 8*f - 6*f + 16 + 4*f**w = 0. What is f?
2
Factor -108*j - 5832 - 1/2*j**2.
-(j + 108)**2/2
Suppose -47*d = -46*d + 2, -5*k = -2*d - 19. Suppose 18/13*b**4 + 0*b**2 + 0 + 0*b - 4/13*b**k = 0. What is b?
0, 2/9
Let x(g) be the first derivative of 0*g + 16/3*g**3 + 0*g**2 - 8 - g**4. Factor x(z).
-4*z**2*(z - 4)
Let b = 26 - 18. Let d(y) be the first derivative of -3*y - 6 + 5*y**2 - y**3 + 2 - b*y**2. Find n, given that d(n) = 0.
-1
Let k(h) = h**2 + 5*h - 19. Let b be k(-8). Let 2*g + 5*g**5 + b*g**2 - 4 + 36*g**4 + 44*g**3 + 11*g**2 + 5*g**5 - 8*g = 0. Calculate g.
-1, 2/5
Let r(l) be the first derivative of -4*l**3 - 8*l**2 - l**4 - 1/10*l**5 - 8*l + 39. Determine o so that r(o) = 0.
-2
Solve 13/9*m + 4/3 + 1/9*m**2 = 0 for m.
-12, -1
Factor -6/7*h**3 + 6/7*h**2 + 96/7*h + 120/7.
-6*(h - 5)*(h + 2)**2/7
Suppose 0*f - f + 27 = 5*x, -3*x + 33 = -5*f. Suppose 4*d = x*d - 4. What is v in -d*v**2 - 4/11*v - 14/11*v**4 - 32/11*v**3 + 0 = 0?
-1, -2/7, 0
Let u = 75/8 - 9. Let k(f) be the first derivative of 1/4*f**3 + u*f**2 + 0*f + 6. Factor k(w).
3*w*(w + 1)/4
Let w(c) be the third derivative of -2/15*c**5 + 0*c**3 + 1/84*c**8 + 1/6*c**6 + 0*c**4 - 38*c**2 + 0*c + 0 - 8/105*c**7. Factor w(l).
4*l**2*(l - 2)*(l - 1)**2
Let v = -43 - -46. Find i, given that 121*i**v - 116*i**3 + i**2 - 5*i + i**4 - 2*i**4 = 0.
-1, 0, 1, 5
Let w(n) = -n**2 - 4*n - 3. Let d be w(-3). Suppose -3*m + 21 = 3*v, 12*v - m - 3 = 8*v. Factor -2/5*l + d + 2/5*l**v.
2*l*(l - 1)/5
Let z(l) be the second derivative of -l**5/40 - 43*l**4/24 - 161*l**3/4 - 441*l**2/4 + 235*l + 1. Factor z(u).
-(u + 1)*(u + 21)**2/2
Let h(u) be the second derivative of -u**4/102 - 9*u**3/17 + 30*u. Solve h(q) = 0 for q.
-27, 0
Let m(g) be the third derivative of 1/105*g**7 - 5*g**2 + 1/20*g**6 + 0*g - 2/3*g**3 + 0 + 1/30*g**5 - 1/4*g**4. Let m(l) = 0. Calculate l.
-2, -1, 1
Suppose -8*a + 30 = 2*a. Factor a*q**2 - 16*q**3 - q - 3 - 14*q**3 + 31*q**3.
(q - 1)*(q + 1)*(q + 3)
Determine t so that -1/6*t**5 - 11/6*t**4 - 10/3 + 31/6*t**2 - 7/6*t**3 + 4/3*t = 0.
-10, -2, -1, 1
Let j(s) = s**3 + 81*s**2 + 580*s - 283. Let f be j(-73). Factor -3*i + f - 3/4*i**2.
-3*(i - 2)*(i + 6)/4
Let j be 1434/(-15)*((-5)/(-2))/(-1). Let v = j - 716/3. Factor 0 + 0*y + v*y**3 + 1/3*y**2.
y**2*(y + 1)/3
Let a(m) = -6 - 4 - 6*m - 2*m + 4 - m**2. Let d be a(-3). Factor -12*k + 67*k + 20*k**2 - d - 6.
5*(k + 3)*(4*k - 1)
Let q(f) be the second derivative of f**4/6 - 3*f**3 - 70*f**2 + 585*f. Solve q(u) = 0.
-5, 14
Let v(u) = u**2 - u + 2. Let p be v(1). Determine w so th