/13 - 135. Factor b(o).
-2*(o + 4)*(7*o - 2)/13
Let f(z) be the first derivative of z**4/12 + z**3/9 - z**2/3 + 82. Factor f(o).
o*(o - 1)*(o + 2)/3
Let d(j) be the third derivative of 5*j**8/336 + 17*j**7/21 + 53*j**6/3 + 580*j**5/3 + 3250*j**4/3 + 10000*j**3/3 - 46*j**2. Solve d(n) = 0 for n.
-10, -2
Let f(u) = u + 15. Let s be f(8). Find g such that -9*g - 2*g**2 + 2*g + s*g**2 + 3*g**4 - 2*g - 15*g**3 = 0.
0, 1, 3
Let a(h) be the second derivative of h**4/48 + h**3/8 - h**2/2 - 5*h - 2. Solve a(q) = 0.
-4, 1
Suppose 0 = -11*a - 97 + 1879. Factor -165*v + 5 + a*v - 2 + 3*v**3 - 3*v**2.
3*(v - 1)**2*(v + 1)
Let n(x) be the first derivative of 6*x + 3/4*x**4 - 2*x**3 - 3/2*x**2 + 1. Factor n(y).
3*(y - 2)*(y - 1)*(y + 1)
Let l(k) be the third derivative of 0 - 1/5*k**5 + 3/8*k**4 + 0*k + 8*k**2 - 3/40*k**6 - 1/4*k**3 + 9/140*k**7. Determine y, given that l(y) = 0.
-1, 1/3, 1
Suppose -5/9*a**3 + 1/9*a**5 - 1/3*a**2 + 0*a + 0 - 1/9*a**4 = 0. Calculate a.
-1, 0, 3
Factor 8*c**2 - 41*c**3 - 288 - 33*c**3 + 99*c**3 + 58*c + 86*c - 29*c**3.
-4*(c - 6)*(c - 2)*(c + 6)
Let c(f) be the first derivative of 1/33*f**6 + 0*f - 13 + 81/11*f**2 + 27/11*f**4 + 72/11*f**3 + 24/55*f**5. Factor c(v).
2*v*(v + 3)**4/11
Let n = 3197/8248 - 13/1031. Factor -1/4*q + n - 1/8*q**2.
-(q - 1)*(q + 3)/8
Let a(h) be the first derivative of -5*h**3/6 + 61*h**2 + 49*h/2 + 75. Determine f so that a(f) = 0.
-1/5, 49
Let x(g) be the second derivative of g**4/8 + 11*g**3/4 - 39*g**2/2 - 2*g + 77. Solve x(p) = 0 for p.
-13, 2
Suppose 4*z**4 - 561773*z + 736*z**2 + 682910 - 528*z**3 + 4060774 + 29307*z**2 - 3907*z**2 - 13219*z = 0. What is z?
33
Let f(b) = 3*b**3 - 11*b**2 - 2*b + 24. Let o be f(3). Suppose 4/3*t + o + 2/3*t**2 = 0. What is t?
-2, 0
Factor 2/7*g**2 + 270/7*g + 268/7.
2*(g + 1)*(g + 134)/7
Let z(j) be the first derivative of -j**4/4 - 5*j**3/3 + 13*j**2/2 - 7*j + 59. Let z(q) = 0. Calculate q.
-7, 1
Let a(z) be the first derivative of 4*z**5/35 + 4*z**4/7 - 20*z**3/21 + 18. Suppose a(v) = 0. Calculate v.
-5, 0, 1
Let i(g) be the third derivative of 7*g**6/540 + g**5/54 - g**4/54 - 28*g**2 + 6. Factor i(k).
2*k*(k + 1)*(7*k - 2)/9
Suppose 2*o - 10 = -6. Factor -15*l - o*l**2 - 2 + 14*l - 4*l.
-(l + 2)*(2*l + 1)
Let l be (-4)/30 - ((-5304)/180 + 24). Find q, given that -44/9*q**2 + 16/9 + 28/9*q**4 + l*q - 16/3*q**3 = 0.
-1, -2/7, 1, 2
Let i(x) be the first derivative of 3*x**5/5 - 33*x**4/4 + 20*x**3 + 48*x**2 + 88. Factor i(y).
3*y*(y - 8)*(y - 4)*(y + 1)
Let o(s) = -s**2 + s. Let n(p) = 2*p - 19. Let h be n(9). Let i(k) = -8*k**2 + 4. Let q(c) = h*i(c) + 2*o(c). Factor q(b).
2*(b + 1)*(3*b - 2)
Find l, given that 1/2*l**2 - 1/2*l**3 + 0*l + 0 = 0.
0, 1
Let x = 829 + -820. Let m(a) be the first derivative of -2/3*a**6 - 8*a**3 - 2*a**2 + 12/5*a**5 + x + 2*a**4 + 12*a. What is j in m(j) = 0?
-1, 1, 3
Let c(x) be the second derivative of 1/6*x**4 + 1/6*x**3 + 0*x**2 - 7/20*x**5 + 0 + 2/15*x**6 - 8*x. Solve c(a) = 0.
-1/4, 0, 1
Let y = 247/6 - 41. Let o = y + 1/6. Factor -3*f**2 + f**4 - 2/3 - o*f**3 + 3*f.
(f - 1)**2*(f + 2)*(3*f - 1)/3
Let r = 232 + -224. Let y(q) be the third derivative of 0 - 1/36*q**4 - 1/180*q**5 - r*q**2 + 0*q**3 + 0*q. Factor y(v).
-v*(v + 2)/3
Let p(r) = -6*r - 15. Let h be p(-4). Factor 2*m**3 + 5*m**3 + 2*m**4 - 2 - m**5 + 4*m**3 - 8*m**2 - h*m**3 + 7*m.
-(m - 1)**4*(m + 2)
Let x(m) = -m**5 - m**2 - 5 - 2*m**2 + 36*m**4 - 33*m**4 + 6*m. Let v(a) = -a**5 + 2*a**4 - 2*a**2 + 5*a - 4. Let z(c) = 5*v(c) - 4*x(c). Factor z(l).
-l*(l - 1)*(l + 1)**3
Let s(z) be the second derivative of -z**6/60 - 3*z**5/40 + z**4/4 + 3*z**3/2 - 12*z. Let m(x) be the second derivative of s(x). Factor m(v).
-3*(v + 2)*(2*v - 1)
Let g(o) = o - 12. Let j be g(12). Let b = j - -3. Factor 3*c**3 - 12*c - b*c**2 + 3 - 6*c**2 - 3*c + 3*c**4 - 9.
3*(c - 2)*(c + 1)**3
Let x(c) be the first derivative of 1/48*c**4 + 0*c**5 + 0*c - 11/3*c**3 - 2 + 0*c**2 - 1/720*c**6. Let w(g) be the third derivative of x(g). Factor w(y).
-(y - 1)*(y + 1)/2
Determine o, given that -34 - 35/2*o - 1/4*o**2 = 0.
-68, -2
Let w(c) = c**2 - 7*c - 13. Let o be w(9). Suppose -i - 2*p - p + 3 = 0, -15 = -o*i - 3*p. Factor 6*r**3 + 6*r + 43*r**2 - 16*r**2 + 13*r**i - 7*r**3.
3*r*(r + 2)*(4*r + 1)
Let n(x) be the third derivative of -x**5/30 + 2*x**4/3 + 11*x**3 + 111*x**2. Factor n(i).
-2*(i - 11)*(i + 3)
Suppose 0 = -9*q - q. Let r = 6 + -3. Factor -4*g + 3*g**2 + 3*g**2 - 6 + q + 7 + g**4 - 4*g**r.
(g - 1)**4
Find i, given that 3/4*i**2 + 0*i - 3 = 0.
-2, 2
Let s(p) = p + 12. Let c be s(-8). Suppose -15*v - 5 + 65 = 0. Factor 2*y + 2/5*y**5 + 2/5 + 4*y**3 + 2*y**v + c*y**2.
2*(y + 1)**5/5
Determine j so that 16*j + 3 + 50/3*j**3 + 85/3*j**2 = 0.
-3/5, -1/2
Let y(b) be the second derivative of -7*b**5/20 + 19*b**4/12 + 17*b**3/3 + 4*b**2 - 37*b. What is x in y(x) = 0?
-1, -2/7, 4
Suppose -2*y - 4*y + 18 = 0. Let 0*m + 12 - 14*m + y*m**2 - m = 0. What is m?
1, 4
Find s, given that 0 - 46/5*s**4 + 6/5*s - 78/5*s**3 - 2/5*s**2 + 24/5*s**5 = 0.
-1, -1/3, 0, 1/4, 3
Let c(i) be the third derivative of -i**8/672 - i**7/420 + i**6/240 + i**5/120 - 216*i**2. Solve c(d) = 0.
-1, 0, 1
Let q(p) be the second derivative of 8*p - 1/4*p**3 + 0*p**2 + 1/8*p**4 + 0. Factor q(n).
3*n*(n - 1)/2
Let z(i) be the first derivative of -20*i + 5/3*i**3 - 15/2*i**2 - 8. Determine o, given that z(o) = 0.
-1, 4
Let h(a) be the third derivative of -a**5/140 - 13*a**4/56 + a**3 - 19*a**2. What is q in h(q) = 0?
-14, 1
Let d(w) be the first derivative of w**5/300 - w**4/20 + 3*w**3/10 - 19*w**2/2 + 23. Let v(a) be the second derivative of d(a). Factor v(y).
(y - 3)**2/5
Let k(i) = -10*i**2 - 6*i + 18. Let y(q) = 8*q**2 + 7*q - 18. Let s(p) = 5*k(p) + 6*y(p). Factor s(j).
-2*(j - 3)**2
Let s(x) = 2*x**4 - 35*x**3 - 24*x**2 + 38*x + 31. Let k(v) = 4*v**4 - 104*v**3 - 72*v**2 + 112*v + 92. Let r(l) = 3*k(l) - 8*s(l). Solve r(i) = 0 for i.
-7, -1, 1
Suppose 0*u - 5*u = -35. Suppose 0 = 2*z - u + 3. Suppose 56/5*d - 8/5 - 32/5*d**4 - 66/5*d**z - 112/5*d**3 = 0. What is d?
-2, 1/4
Let g be ((5/(-2))/(-5))/((-4)/(-8)). Let b be 0/(g*(2 + 0)). Factor 0*u - 1/3*u**3 + 0 + b*u**2 + 2/3*u**4.
u**3*(2*u - 1)/3
Let k = -10 - -26. Factor -k*z**4 + 2*z**3 - 15*z**4 - 8*z**4 + 41*z**4.
2*z**3*(z + 1)
Let r be 15/(-2)*(-176)/440. What is b in 2/9*b**4 + 0*b - 2/9*b**2 + 0*b**r + 0 = 0?
-1, 0, 1
Suppose -4*s = 5*o + 15, 7*s - 4*s = 2*o + 6. Suppose 0 = 3*u - 4*w - 8, u + s - 9 = -5*w. Solve -4*v**3 - 9*v**3 - 22*v**2 - 3*v**3 - 2*v**3 - u*v = 0.
-1, -2/9, 0
Suppose 2*o - 13 = -3. Let d(x) be the second derivative of 3/2*x**4 + 12*x**3 + 3/40*x**5 + 48*x**2 - o*x + 0. Find n such that d(n) = 0.
-4
Let b be 2/236*(93324/(-435) - -2). Let l = -2/1711 - b. Find y such that 3/5 - 9/5*y + l*y**3 - 3/5*y**2 = 0.
-1, 1/3, 1
Let u(a) = 2*a**2 - 16*a - 48. Let d(x) = -x**2 + 16*x + 48. Let c(z) = 2*d(z) + 3*u(z). Determine m so that c(m) = 0.
-2, 6
Let q be 2/7*9/3. Suppose -3*s + 4*t + 14 = 0, 32*s - 37*s - 3*t = -4. Determine h so that q*h**s - 2/7*h**3 - 4/7*h + 0 = 0.
0, 1, 2
Let x(b) be the second derivative of -b**7/84 - 7*b**6/90 - b**5/120 + 31*b**4/36 + 13*b**3/9 - 2*b**2 - 302*b. Find i such that x(i) = 0.
-3, -2, 1/3, 2
Let s(p) = -3*p + 11. Let a be s(3). Let j(y) be the second derivative of 7/15*y**7 + 2/25*y**5 + 0*y**4 + 0*y**3 + 5*y - 28/75*y**6 + 0*y**a + 0. Factor j(b).
2*b**3*(7*b - 2)**2/5
Let q(s) = -9*s**3 - s**2 - 8*s. Let w(f) = 6*f**3 + f**2 + 5*f. Suppose -2*x = -3*l - 14, l + 0*l - x + 3 = 0. Let d(v) = l*w(v) - 5*q(v). Factor d(i).
-3*i**2*(i + 1)
Find g, given that 7/2*g + 1 - 2*g**2 = 0.
-1/4, 2
Let t(b) be the second derivative of b**7/420 - b**6/45 + b**3 - 37*b. Let a(n) be the second derivative of t(n). Solve a(i) = 0 for i.
0, 4
Let f(w) be the first derivative of -2*w**3/27 + 11*w**2/9 - 20*w/9 + 37. Factor f(v).
-2*(v - 10)*(v - 1)/9
Let g(f) = -18*f**3 + f**2 + f + 1. Let k be g(-1). Suppose k = 2*a + 15. Let 3*d**4 - d**4 - 1 + 0*d**2 + 2*d**a + 2*d**3 - 3*d**4 - d - d**5 = 0. Calculate d.
-1, 1
Let w be (-3)/9 - (-996)/18. Let s = w + -52. Determine u so that -2/9*u**2 + 2/3*u + 2/9 + 0*u**4 - 14/9*u**s + 8/9*u**5 = 0.
-1, -1/2, 1
Let y be (-2)/(3 + 85/(-25)). Determine f, given that 5*f + 3*f**2 + 4*f**4 - 2 - 