 798801. Let j(p) = 33*g(p) - 2*x(p). Factor j(t).
3*(t - 1)*(t + 129)**2
Let v = 195 + -193. Factor -19 + 35 + 85*u - 2*u**2 + 2*u**2 - 5*u**3 + 59 + 5*u**v.
-5*(u - 5)*(u + 1)*(u + 3)
Let r be (-13)/(-22)*(-151809)/(-8722). Let u = r + 3/3916. Factor u*o + 216/7 + 6/7*o**2.
6*(o + 6)**2/7
Let g(l) be the first derivative of l**6/2 - 3*l**5/5 - 33*l**4/2 - 44*l**3 - 36*l**2 + 2135. Factor g(a).
3*a*(a - 6)*(a + 1)*(a + 2)**2
Suppose -5*j + 0*j + 25 = 0, -5*k + 4*j + 5 = 0. Determine b so that 2*b**5 - 15*b**3 + 3*b**k + 6*b**4 + 8*b**2 - 4*b**5 = 0.
-8, 0, 1
Let b(h) be the second derivative of -h**6/90 - 13*h**5/30 - 137*h**4/36 + 238*h**3/9 + 98*h**2 + 1151*h. Let b(n) = 0. Calculate n.
-14, -1, 3
Let y(b) be the first derivative of -26 + 28/9*b**3 + 3*b + 1/45*b**5 - 5/6*b**4 - 41/9*b**2. Factor y(s).
(s - 27)*(s - 1)**3/9
Let v(o) = 20255*o**2 - 2922*o - 17. Let d(t) = 30380*t**2 - 4384*t - 24. Let p(a) = -5*d(a) + 8*v(a). Determine j, given that p(j) = 0.
-2/195, 2/13
Let s(v) = v**3 + 15*v**2 - 16*v. Let i be s(-16). Suppose i = -4*k + 4 + 4. Suppose 0*y**2 + 80*y - 40*y - 200 - k*y**2 = 0. What is y?
10
Let w(j) be the second derivative of j**5/30 - 7*j**4/12 + 4*j**3 - 3*j**2 + j + 8. Let b(h) be the first derivative of w(h). Factor b(o).
2*(o - 4)*(o - 3)
Let h(x) be the third derivative of -x**7/231 - 7*x**6/660 + 83*x**5/330 - 41*x**4/132 - 10*x**3/11 - 2028*x**2. Determine z so that h(z) = 0.
-5, -2/5, 1, 3
Let z = 1415 - 183949/130. Let v(g) be the third derivative of 0 - 1/780*g**6 - 12*g**2 + z*g**5 + 0*g + 1/39*g**3 - 1/52*g**4. Factor v(c).
-2*(c - 1)**3/13
Let u(d) be the second derivative of -22*d + 1 - 275/6*d**4 - 130/3*d**3 + 5/6*d**7 - 15/4*d**5 + 13/3*d**6 + 60*d**2. Suppose u(s) = 0. Calculate s.
-3, -2, -1, 2/7, 2
Let h(b) be the third derivative of b**5/100 - 54*b**4/5 - 434*b**3/5 - 3803*b**2. Determine d, given that h(d) = 0.
-2, 434
Let b = 1 - -24. Let v = b - 23. Find s, given that -25*s**2 + 60*s - 18 + 2*s**2 - 10*s**v - 17*s**2 = 0.
3/5
Let q(k) be the first derivative of -243*k**6/7 + 38880*k**5/7 - 2160000*k**4/7 + 128000000*k**3/21 - 2084. Solve q(b) = 0.
0, 400/9
Let b = -6734696/7 - -962100. Find j such that 16*j - b*j**2 - 112 = 0.
14
Let w = 4960/37 + -24578/185. Suppose 1/5*l - w + 1/5*l**2 = 0. Calculate l.
-3, 2
Let l(t) be the third derivative of 1/2*t**4 + 24*t**2 - 1/30*t**6 - 4/3*t**3 + 0*t**5 + 0*t - 2. Factor l(f).
-4*(f - 1)**2*(f + 2)
Let a(u) be the first derivative of -83 - 60*u - 135/4*u**4 - 216*u**2 - 253*u**3. Factor a(v).
-3*(v + 5)*(5*v + 2)*(9*v + 2)
Let a(b) = -8*b**2 - 52*b + 123. Let s(j) = -3*j**2 - 21*j + 49. Let z(o) = -10*a(o) + 26*s(o). Suppose z(x) = 0. What is x?
2, 11
Let q(t) be the first derivative of -3*t**4/4 - 150*t**3 + 918*t**2 - 1848*t + 5215. Factor q(i).
-3*(i - 2)**2*(i + 154)
Suppose 23 + 28 = 5*o - 2*q, -4*q + 33 = 5*o. Suppose -i - 4 - o = -2*u, u + 3*i = -11. Factor 65*x**3 + 25*x**2 - 152*x + 250*x + 10*x**u - 128*x.
5*x*(x + 1)*(x + 6)*(2*x - 1)
Let o(k) be the first derivative of -k**7/2940 + k**6/252 + 2*k**5/105 - 4*k**4/7 + 110*k**3/3 + 46. Let p(t) be the third derivative of o(t). Factor p(q).
-2*(q - 4)**2*(q + 3)/7
Let g(q) be the third derivative of q**7/105 + 17*q**6/60 + 8*q**5/15 + 1421*q**2. What is p in g(p) = 0?
-16, -1, 0
Let d be (-5 + 8)*(1 + (-12)/9). Let n be (d - -4)*12/18. Factor 64 + 4*u**3 + u**4 + 5*u**n - 64 + 2*u.
u*(u + 1)**2*(u + 2)
What is f in 2426*f**3 + 75 + 85*f**2 + 2415*f**3 - 155*f - 4846*f**3 = 0?
1, 15
Let n(x) = 2*x**4 + 2*x**3 - 2*x - 8. Let a(l) = l**2 + 12*l - 26. Let g be a(-14). Let u(i) = i**2 - 2. Let m(q) = g*n(q) - 12*u(q). Factor m(v).
4*(v - 1)**2*(v + 1)*(v + 2)
Let y = -203885 - -203887. Find g such that 0 - 3/2*g**y - g**3 + 0*g + 1/2*g**4 = 0.
-1, 0, 3
Let o(d) be the first derivative of 0*d + 2/15*d**3 + 0*d**2 - 90 + 1/10*d**4. Factor o(y).
2*y**2*(y + 1)/5
Suppose -5*g + 31 = 2*j, -3*j + 8*j - 52 = -4*g. Let f(z) be the second derivative of 0 - 1/10*z**6 - 12*z + 15/2*z**2 + 9/10*z**5 - g*z**3 - z**4. Factor f(w).
-3*(w - 5)*(w - 1)**2*(w + 1)
Let p be ((-18)/(-6) - -18) + (4 - 1). Find t, given that -4*t + 3*t + 9*t + 99*t**3 + 94*t**2 + 38*t**4 - 4*t + 5*t**5 - p = 0.
-3, -2, -1, 2/5
Let z(d) be the third derivative of -1/150*d**5 + 12*d**2 + 0 - 1/10*d**4 + d + 7/15*d**3. Suppose z(s) = 0. What is s?
-7, 1
Let 1437*r + 1426 + 1008 + 2*r**3 + 1096*r**2 - 6*r**3 + 2995*r + 2014 = 0. What is r?
-2, 278
Let l(i) be the second derivative of -i**4/60 - 53*i**3/6 + 133*i**2/5 - 672*i. Factor l(u).
-(u - 1)*(u + 266)/5
Suppose 99*c - 80*c = 108 + 6. Let v(q) be the second derivative of 8/27*q**4 + 22/45*q**5 + 0*q**2 + 0 + 2/21*q**7 + 2/27*q**3 + 9*q + 16/45*q**c. Factor v(r).
4*r*(r + 1)**2*(3*r + 1)**2/9
Let t(w) be the third derivative of -1/24*w**4 + 0*w + 1/480*w**6 + 1/60*w**5 + 2*w**2 + 0*w**3 - 1/840*w**7 + 11. Factor t(r).
-r*(r - 2)*(r - 1)*(r + 2)/4
Let z(q) be the first derivative of 2/27*q**3 - 10 - 4/3*q**2 + 0*q. Factor z(l).
2*l*(l - 12)/9
Suppose -2*n - 3*n = -20. Suppose 22 = 5*o - 2*z, 5*o = -n*z - 4 + 20. Factor 27*x**2 - 10*x - 31*x**2 + x**5 + x**5 - o + 8*x**4 + 8*x**3.
2*(x - 1)*(x + 1)**3*(x + 2)
Let r(f) be the first derivative of -3/2*f**2 + 1/18*f**3 + 0*f - 109. Factor r(p).
p*(p - 18)/6
Suppose 40*m + 126 - 286 = 0. Let y(i) be the third derivative of -2/9*i**3 + 0*i - 1/36*i**5 + 2/9*i**m + 0 - 9*i**2 - 7/360*i**6. Factor y(a).
-(a - 1)*(a + 2)*(7*a - 2)/3
Suppose 24/11*c**4 - 34/11*c + 32/11*c**3 + 60/11 - 84/11*c**2 + 2/11*c**5 = 0. Calculate c.
-10, -3, -1, 1
Let t(p) = -4*p**2 - 24*p + 55. Let n(o) = 36*o**2 + 216*o - 492. Let w(g) = 3*n(g) + 28*t(g). What is z in w(z) = 0?
-8, 2
Factor 24047 - 3*r**2 - 212847 - 97674 - 1986*r - 117660 + 75451.
-3*(r + 331)**2
Suppose 3*h**2 + 153/2*h - 39 = 0. What is h?
-26, 1/2
Suppose 0 = 11*i - 12*i + 5. Let a be ((-255)/(-14))/i + 20/(-8). Determine k so that -6/7 - 2/7*k**2 + a*k = 0.
1, 3
Let v = 198 + -1384/7. Let a = -192280 + 192282. Factor -2/7*c**3 + 0 - 6/7*c - v*c**4 + 10/7*c**a.
-2*c*(c - 1)**2*(c + 3)/7
Suppose -43980 + 33381 = -3533*v. Let h be ((-12)/10)/(-3)*5. Determine o, given that 0 + 21*o - 15*o**h - 39/7*o**v - 3/7*o**4 = 0.
-7, 0, 1
Let i(p) = 3*p**2 - 55*p + 338. Let z(l) = -4*l**2 + 55*l - 339. Let v(n) = 3*i(n) + 2*z(n). Find a, given that v(a) = 0.
7, 48
Let w(u) be the third derivative of 2*u**7/105 + u**6/12 - 34*u**5/15 - 35*u**4/12 - 6*u**2 - 9*u - 11. Factor w(a).
2*a*(a - 5)*(a + 7)*(2*a + 1)
Let u(j) be the second derivative of -2*j**7/21 + 8*j**6/15 + j**5 + 70*j + 1. Factor u(k).
-4*k**3*(k - 5)*(k + 1)
Let f(b) = -32126*b - 224882. Let h be f(-7). Solve -2/7*i**3 + h*i + 0 + 12/7*i**2 = 0.
0, 6
Let i(r) be the third derivative of r**7/105 - 3*r**6/2 - r**5/10 + 67*r**4/3 + 60*r**3 - 83*r**2 + 49*r. Factor i(h).
2*(h - 90)*(h - 2)*(h + 1)**2
What is w in -162/7*w + 54/7*w**2 - 6/7*w**3 + 162/7 = 0?
3
Let n = 7922 - 7920. Let l(q) be the first derivative of -29 + 1/2*q**4 - n*q - q**2 + 2/3*q**3. Factor l(j).
2*(j - 1)*(j + 1)**2
Let a(b) be the second derivative of -b**7/14 - b**6 - 12*b**5/5 + 63*b**4/2 + 513*b**3/2 + 810*b**2 + 1296*b. Factor a(x).
-3*(x - 4)*(x + 3)**3*(x + 5)
Let h = -191 - -195. Determine t, given that t**2 + 7*t**2 - 310*t**h + 18*t**3 + 305*t**4 = 0.
-2/5, 0, 4
Let z(w) be the first derivative of w**3/3 - 312*w**2 + 97344*w + 1925. Suppose z(r) = 0. Calculate r.
312
Let z(u) = -10*u**2 - 5*u**3 + u**3 - 4*u + u**3 + 4 - 3*u. Let m(x) = x**3 - x - 1. Let b(j) = 12*m(j) + 3*z(j). Factor b(o).
3*o*(o - 11)*(o + 1)
Let a(s) be the second derivative of s**6/240 - s**5/40 - 3*s**4/32 + 3*s**3/4 + 145*s. Factor a(q).
q*(q - 4)*(q - 3)*(q + 3)/8
Let l(i) be the second derivative of 0*i**2 - 1/12*i**4 + 0 - 5/6*i**3 + 111*i. Determine v so that l(v) = 0.
-5, 0
Let p(a) be the second derivative of -19*a + 21/2*a**2 + 1/10*a**5 + 11/24*a**4 + 0 - 1/3*a**3. Let m(t) be the first derivative of p(t). Factor m(d).
(d + 2)*(6*d - 1)
Let u(h) be the first derivative of -h**4/16 + h**3/2 + h**2/8 - 3*h/2 - 507. Solve u(z) = 0.
-1, 1, 6
Let w = 2529170/11 + -229924. Determine m so that w*m**2 + 4/11*m + 2/11*m**3 + 0 = 0.
-2, -1, 0
Let g be (-6)/8*4650/(-279) + -12. Let o(c) = c - 3. Le