**5/20 + o**4/24 - o**3/2 + 252*o**2. Let r(i) = 0. Calculate i.
-1, 1, 3
Let f(p) be the first derivative of p**6/780 - p**5/390 + 9*p**2/2 + 26. Let g(d) be the second derivative of f(d). Factor g(q).
2*q**2*(q - 1)/13
Suppose 1435*q**3 - 44*q**4 + 70*q**4 + 1085*q**3 + 43904*q + 26656*q**2 + q**5 + 60*q**4 = 0. Calculate q.
-28, -2, 0
Let r(v) = v**4 - v**3 + v**2 + 1. Let z(x) = x**5 - 6*x**4 - 2*x**2 + 3*x - 4. Let w(s) = 4*r(s) + z(s). Factor w(k).
k*(k - 3)*(k - 1)*(k + 1)**2
Let r(w) be the first derivative of 5*w**3/3 - 220*w**2 + 9680*w - 121. Solve r(f) = 0 for f.
44
Factor 9*y**4 - 3*y**2 + 1093*y - 40*y**3 - 10125 + 707*y + 373*y**2 - 14*y**4.
-5*(y - 5)**2*(y + 9)**2
Let n(b) = -3*b**3 - b**2 + 7*b + 5. Let s = -30 - -25. Let x(u) = 4*u**3 + 2*u**2 - 8*u - 6. Let r(y) = s*x(y) - 6*n(y). Factor r(w).
-2*w*(w + 1)**2
Let o = -4855/18 + 2450/9. Suppose -2*z**2 - 1 + 1/2*z**3 + o*z = 0. Calculate z.
1, 2
Let w = -2531/6 + 422. Let g(o) be the second derivative of 0 + 0*o**3 + 1/36*o**4 - 5*o - w*o**2. Let g(x) = 0. What is x?
-1, 1
Let q = 19 - 13. Let k = -8 + q. Let f(n) = 19*n**2 + 116*n + 45. Let g(c) = -4*c**2 - 23*c - 9. Let a(h) = k*f(h) - 11*g(h). Factor a(o).
3*(o + 3)*(2*o + 1)
Let s be 14/(-420)*-50 - (-1 - (-8)/12). Factor 3/8*i**3 + 3/8 - 3/8*i - 3/8*i**s.
3*(i - 1)**2*(i + 1)/8
Let z be (-6)/(-15) + (-1)/(1635/639). Let h = z - -974/763. Factor h*q - 3/7 + 3/7*q**3 - 9/7*q**2.
3*(q - 1)**3/7
Suppose 29*p + 26 = 84. Determine z, given that 0 - 1/3*z**3 + 0*z**p - 1/3*z**4 + 0*z = 0.
-1, 0
Factor -24/5*f**2 - 3/5 + 27/5*f.
-3*(f - 1)*(8*f - 1)/5
Suppose 4*q - 4*p - 28 = 0, 167*q - 163*q + 3*p - 28 = 0. Solve -q*s**2 - 1/3*s**3 - 343/3 - 49*s = 0 for s.
-7
Let t(p) be the third derivative of 5*p**8/336 + 47*p**7/210 - 7*p**6/24 - 47*p**5/60 + 5*p**4/4 + 530*p**2. Find b, given that t(b) = 0.
-10, -1, 0, 3/5, 1
Let z be (4/(-12))/(2 - 1)*-15. Factor 0 - 9/2*u**3 + 3/2*u**4 + 3/2*u**z - 15/2*u**2 - 3*u.
3*u*(u - 2)*(u + 1)**3/2
Let y(a) = a**2 - 1. Let v(z) = 4*z**2 - z - 2*z - 8 + 2*z + 3. Let c(p) = -4*v(p) + 18*y(p). Factor c(f).
2*(f + 1)**2
Let u(v) = -v**2 + 5*v + 9. Let o be u(6). Let r(w) be the first derivative of -o - 2 - 4*w**2 + 0 - 2*w**3 - 3*w + w. Let r(i) = 0. Calculate i.
-1, -1/3
Let d(s) = 27*s**4 - 383*s**3 + 745*s**2 - 449*s + 50. Let t(x) = x**4 - x**3 - x**2 + x - 2. Let r(g) = -d(g) + 5*t(g). Find f, given that r(f) = 0.
2/11, 1, 15
Let h(d) be the second derivative of -d**6/30 + 23*d**5/60 + 101*d**4/36 + 97*d**3/18 + 11*d**2/3 + 670*d. Let h(x) = 0. What is x?
-2, -1, -1/3, 11
Let y(x) = -x - 3. Let j be y(-3). Let m(g) be the first derivative of -1/4*g**4 + j*g + 4 + 1/3*g**3 + 0*g**2. Factor m(p).
-p**2*(p - 1)
Let c(n) be the first derivative of -1/10*n**4 + 10 + 1/5*n**2 + 0*n + 0*n**3. Find k, given that c(k) = 0.
-1, 0, 1
Solve -225/8*v - 3/8*v**2 - 111/4 = 0.
-74, -1
Let m(v) = 3*v**4 - 12*v**3 - 63*v**2 + 8*v + 56. Let c(s) = -2*s**4 + 13*s**3 + 63*s**2 - 10*s - 58. Let a(t) = -4*c(t) - 3*m(t). Let a(g) = 0. Calculate g.
-8, -1, 1
Suppose 18*c = -16*c - 42*c + 152. Factor 0 + 2/5*h - 4/5*h**c.
-2*h*(2*h - 1)/5
Let x(i) be the first derivative of -i**5/300 + i**3/30 - 7*i**2 - 15. Let a(f) be the second derivative of x(f). Factor a(r).
-(r - 1)*(r + 1)/5
Let w(n) be the third derivative of 7*n**6/480 - n**5/8 + 29*n**4/96 - n**3/4 + 332*n**2. Factor w(v).
(v - 3)*(v - 1)*(7*v - 2)/4
Let c be -5 - -6 - 2 - (0 + 1). Let j be 0/((0 + c)/(-1 - 1)). Determine r, given that j*r**2 + 0 + 2/7*r - 2/7*r**3 = 0.
-1, 0, 1
Let p(r) be the third derivative of r**5/20 - 61*r**4/8 - 31*r**3 + 110*r**2 - 2. Suppose p(t) = 0. Calculate t.
-1, 62
Let t(j) = j**3 + 5*j**2 + 4*j + 3. Let h be t(-4). Suppose 8*u - 94 = -30. Determine m so that -2 - 2*m**5 - 2*m**4 - 14*m + u*m + 4*m**2 + 4*m**h + 4*m = 0.
-1, 1
Let q(d) = 10*d**2 + 36*d + 115. Let t be (-3)/9 - 20/3. Let y(k) = -9*k**2 - 36*k - 114. Let r(z) = t*y(z) - 6*q(z). Find o, given that r(o) = 0.
-6
Let h(g) be the second derivative of g**4/6 + 13*g**3/3 + 22*g**2 + 242*g. Factor h(a).
2*(a + 2)*(a + 11)
Let a(z) be the second derivative of -z**6/60 + 3*z**5/8 - 13*z**4/24 - 5*z**3/4 + 7*z**2/2 + 817*z. What is t in a(t) = 0?
-1, 1, 14
Suppose 3*f = -5*h + 10, -2*f - 8*h = -4*h - 8. Factor 0 + f*c - 1/2*c**3 + 0*c**2.
-c**3/2
Let v be (4/(-9))/((-4)/18). Suppose -v = -5*a + 13. Factor -2*c**2 - 11*c**3 - c**2 + 14*c**a.
3*c**2*(c - 1)
Let i(u) = u**3 + 9*u**2 + 8*u + 3. Let z be i(-8). Factor 0*q**5 + q**4 - 8*q + 4*q + q**5 - 4*q**2 + 3*q**4 + 3*q**z.
q*(q - 1)*(q + 1)*(q + 2)**2
Let x = 12416 - 12414. Suppose -f + 4*f - 9 = 0. Factor 3/2*r**5 + 3/2*r**3 + 0 + 0*r**x + f*r**4 + 0*r.
3*r**3*(r + 1)**2/2
Factor -4*w**2 + 3*w**2 + 3*w**3 - 24*w + 0*w**2 + 7*w**2 + 8*w**2.
w*(w + 6)*(3*w - 4)
Let -25/3*j - 5/3*j**4 + 0 + 25/3*j**3 + 5/3*j**2 = 0. Calculate j.
-1, 0, 1, 5
Let a = 2088 + -2086. Find m, given that 1/5*m**a + 0*m - 1/5 = 0.
-1, 1
Let j be ((-2)/4)/((-5)/(-320)). Let g = j + 97/3. Determine s, given that g*s**2 - 1/3*s + 0 = 0.
0, 1
Let l(f) be the second derivative of 50*f**7/21 - 67*f**6/6 + 75*f**5/4 - 115*f**4/12 - 55*f**3/6 + 15*f**2 - f - 166. What is p in l(p) = 0?
-2/5, 3/4, 1
Let g = -13474963 - -38201520493/2835. Let p = g - 2/567. Let 0 - 4/15*h - p*h**2 = 0. What is h?
-2, 0
Suppose 0 + 1/4*l**2 - 1/4*l**3 - 1/4*l**4 + 1/4*l = 0. Calculate l.
-1, 0, 1
Let j(g) be the second derivative of g**6/195 + g**5/65 - g**4/26 - 8*g**3/39 - 4*g**2/13 - 70*g + 1. Suppose j(c) = 0. What is c?
-2, -1, 2
Suppose -3*f - 31 = -2*a, -4*a + f = -14 - 23. Suppose a = -11*h + 15*h. Solve -d - 22*d**4 + 6*d**h + 16*d**4 + 8*d**4 + 3*d + 6*d**3 = 0 for d.
-1, 0
Suppose 0 = -5*z - 4*j + 3, 9 = 5*z + 2*j. Solve -2/5*q**4 - 1/5*q + 4/5*q**2 - 2/5 - 1/5*q**5 + 2/5*q**z = 0.
-2, -1, 1
Let l be (3 - 10) + (-274)/(-39). Let x(a) be the second derivative of 1/39*a**3 + 0 - l*a**4 + 0*a**5 + 5*a + 2/195*a**6 - 1/273*a**7 + 0*a**2. Solve x(y) = 0.
-1, 0, 1
Let d = -5 - -6. Factor -2*y**2 + 0*y**3 + 2*y**3 + y**5 + y**4 + 2*y**3 + d - 6*y**3 + y.
(y - 1)**2*(y + 1)**3
Let n(b) be the second derivative of 1/2*b**3 + 0 + 1/14*b**7 - 3/10*b**5 - 1/2*b**4 + 1/10*b**6 + 3/2*b**2 - 10*b. Suppose n(x) = 0. Calculate x.
-1, 1
Let h(n) be the first derivative of n**6/30 - 8*n**5/15 - n**4/6 + 16*n**3/3 + 10*n**2 + 1. Let b(r) be the second derivative of h(r). Solve b(o) = 0.
-1, 1, 8
Let d(r) = 4*r**2 + 24*r - 4. Let f(o) = 5 + 4 - 5 - 2. Let q(j) = d(j) + 12*f(j). Factor q(z).
4*(z + 1)*(z + 5)
Suppose -24 + 4 = 5*i, -4*i - 22 = -3*k. Let q(t) = t**2 + 14*t + 26. Let h be q(-12). Factor -h*z - 9*z**3 - 516 - 5*z**4 - z**5 + 516 - 7*z**k.
-z*(z + 1)**3*(z + 2)
Let t(k) = k**3 + 15*k**2 + 37*k + 15. Let f be t(-12). Let z(w) be the first derivative of -3*w**4 - 4/5*w**5 + 0*w + 7 - 4*w**f - 2*w**2. Factor z(u).
-4*u*(u + 1)**3
Let y(u) be the first derivative of u**5/120 + u**4/48 - 19*u**2/2 + 27. Let d(p) be the second derivative of y(p). Factor d(h).
h*(h + 1)/2
Let d(x) be the first derivative of -x**4/28 - 2*x**3/7 - 9*x**2/14 + x - 3. Let w(f) be the first derivative of d(f). Let w(n) = 0. Calculate n.
-3, -1
Let r(u) be the third derivative of 0 + 1/140*u**7 - 3*u**2 - 1/120*u**6 - 1/40*u**5 + 0*u**3 + 1/24*u**4 + 0*u. Factor r(a).
a*(a - 1)*(a + 1)*(3*a - 2)/2
Let d(s) = s**4 + s - 1. Let u(n) = 2*n**4 + 3*n**2 + n - 3. Let m(f) = f**2 + 8*f + 14. Let g be m(-4). Let r(x) = g*u(x) + 6*d(x). Factor r(b).
2*b*(b - 1)**2*(b + 2)
Let l(z) be the third derivative of -1/420*z**5 - 24*z**2 + 0*z - 1/56*z**4 - 1/21*z**3 + 0. What is g in l(g) = 0?
-2, -1
Let p(k) be the second derivative of k**6/30 + 3*k**5/20 - k**4/4 - 11*k**3/6 - 3*k**2 + 86*k. Solve p(y) = 0 for y.
-3, -1, 2
Let m(b) = 4*b**3 - 14*b**2 + 168*b - 212. Let g(i) = -i**3 + 5*i**2 - 56*i + 70. Let p(f) = -20*g(f) - 6*m(f). Factor p(t).
-4*(t - 2)**2*(t + 8)
Find k such that -23/4*k + k**2 - 7/2 + 11/2*k**3 + 1/4*k**5 + 5/2*k**4 = 0.
-7, -2, -1, 1
Suppose -4*d - 20 = -4*m, 4*m + 2*d + d = 6. Suppose -2 = -m*z + 7. Suppose -3*a**3 + 2*a**z + a**2 + 2*a + 0*a**3 = 0. Calculate a.
-1, 0, 2
Let i(w) = 6*w**3 + 16*w**2 - 80*w + 18. Let a(m) = -6*m**3 - 17*m**2 + 80*m - 19. Let h(q) = -6*a(q) - 5*i(q). Determine 