**4/7 - 950440*b**3/7 + 107400*b**2/7 - 4000*b/7 + 1. Let g(u) = 0. Calculate u.
-10, 1/27
Let f(s) = -3*s**3 - 8*s**2 - 15*s - 1. Let u = -134 + 129. Let j(q) = -6*q**3 - 17*q**2 - 29*q - 3. Let m(x) = u*f(x) + 3*j(x). Factor m(y).
-(y + 1)*(y + 2)*(3*y + 2)
Let t(c) = 6*c**3 - 31*c**2 + 4*c + 8. Let x be t(5). Let i = 1831/7854 - -1/462. Determine g so that -2/17*g**2 + 2/17*g**4 + 4/17*g**x + 0 - i*g = 0.
-2, -1, 0, 1
Let q(o) be the third derivative of o**6/60 + 73*o**5/10 + 3729*o**4/4 - 89383*o**3/3 + 2705*o**2. Factor q(b).
2*(b - 7)*(b + 113)**2
Let o(f) be the second derivative of -17*f**4/6 + 275*f**3/6 - 12*f**2 + 67*f - 23. Suppose o(i) = 0. What is i?
3/34, 8
Let d(c) be the third derivative of -c**6/6 - 17*c**5/15 - c**4 - 5*c**2 - 25. Factor d(k).
-4*k*(k + 3)*(5*k + 2)
Determine h, given that -45201913*h**3 + 45253893*h**3 + 13081*h**2 - 904*h + 8 + 26450*h**4 + 11537*h**2 = 0.
-1, 2/115
Let m(p) be the first derivative of 0*p + 0*p**2 + 0*p**3 + 1/9*p**6 + 2/5*p**5 + 1/3*p**4 + 187. Let m(w) = 0. What is w?
-2, -1, 0
Let i(g) = -g**3 + g**2 + 6*g + 3. Let o be i(-2). Let q be 1*3 + (4 - o). Factor f + 4*f - 5*f**3 - 20*f**2 + 9*f**4 - 4*f**q + 15*f**4.
5*f*(f - 1)*(f + 1)*(4*f - 1)
Suppose 5*z = 0, -z - 3 = -4*j + 3*j. Let q(h) be the first derivative of -h**3 - 1 + 1 - 165*h**2 + j + 159*h**2. Factor q(p).
-3*p*(p + 4)
Let u(h) be the second derivative of -2*h**6/15 + 2*h**5/5 + 13*h**4/3 + 20*h**3/3 - 904*h. Suppose u(c) = 0. What is c?
-2, -1, 0, 5
Let z(p) = -76*p**2 - 4554*p - 9134. Let q(b) = -23*b**2 - 1519*b - 3045. Let n(i) = -10*q(i) + 3*z(i). Factor n(d).
2*(d + 2)*(d + 762)
Let m(u) be the second derivative of 65*u**7/7 - 701*u**6/6 + 7*u**5 + 3505*u**4/12 - 265*u**3/3 - u + 27. Suppose m(x) = 0. What is x?
-1, 0, 2/13, 1, 53/6
Suppose -15*c = -3*c - 60. What is m in -8*m - 6 - 6 + c*m**2 - 6*m**2 = 0?
-6, -2
Let k(h) = 24*h**2 + 139*h - 30. Let l be k(-6). Factor 0*m + 2/19*m**4 - 4/19*m**2 + l + 2/19*m**3.
2*m**2*(m - 1)*(m + 2)/19
Let h(v) be the first derivative of v**3 + 279*v**2/2 + 810*v + 2282. Let h(t) = 0. What is t?
-90, -3
Let y be 2 + (-20)/(-8) - 1*(11 - 14). Find b such that 0 - y*b + 3/4*b**2 = 0.
0, 10
Let h(r) be the first derivative of -r**3/3 + 67*r**2/2 + 210*r + 2089. Factor h(w).
-(w - 70)*(w + 3)
Let f(r) = -30*r**3 + 25585*r**2 - 43554215*r + 24738808345. Let u(j) = j**3 - j**2 - j - 1. Let o(v) = f(v) + 25*u(v). Solve o(g) = 0.
1704
Suppose -1001*n + 1003*n + 30 = 4*x, -3*x = 4*n + 16. Suppose 0 - 98/19*c**4 + 8/19*c**2 + 30/19*c**5 - 16/19*c + x*c**3 = 0. What is c?
-2/5, 0, 2/3, 1, 2
Let q(m) = -3*m**2 - 14*m - 4. Let i be (-6)/(-1)*6/9. Let c = 46 + -51. Let r(u) = -3*u**2 - 13*u - 5. Let d(t) = c*q(t) + i*r(t). Factor d(b).
3*b*(b + 6)
Let d be (-209)/(-44) - 3/4. Find k such that 32 - 22*k - 20*k**4 + 5*k**4 + 6*k + d*k**3 - 24*k**2 + 19*k**4 = 0.
-2, 1, 2
Let c(j) be the second derivative of j**7/42 + 11*j**6/15 - 73*j**5/20 + 25*j**4/6 + j - 255. Factor c(h).
h**2*(h - 2)*(h - 1)*(h + 25)
Let v = 19725 + -98607/5. Suppose 3*g + v - 3/5*g**2 = 0. Calculate g.
-1, 6
Let w(v) be the second derivative of v**7/63 - 28*v**6/15 + 923*v**5/15 - 574*v**4/3 + 1681*v**3/9 + 271*v - 4. What is x in w(x) = 0?
0, 1, 41
Let o be (0 - -1) + 30/2 + 6. Determine w, given that 215*w - o + 1057*w**2 - 1037*w**2 - 33 = 0.
-11, 1/4
Let w(g) be the second derivative of -2*g**6/75 + 74*g**5/25 + 212*g**4/5 + 3248*g**3/15 + 2624*g**2/5 - 1050*g. Let w(x) = 0. Calculate x.
-4, -2, 82
Let l be (12320/14080)/(7/4). Determine c so that -3/2 + l*c**2 - c = 0.
-1, 3
Let k(p) be the second derivative of -1/3*p**4 + 0*p**2 + 4*p + 4*p**3 - 1/5*p**5 - 3. Factor k(f).
-4*f*(f - 2)*(f + 3)
Let y(r) = 2*r**2 - 2386*r - 2418. Let u(l) = -3*l**2 + 2389*l + 2412. Let f(b) = -3*u(b) - 2*y(b). What is d in f(d) = 0?
-1, 480
Let z = -16428 - -16431. Let i(x) be the first derivative of -20 + 1/15*x**z - 3/5*x**2 + x. Solve i(c) = 0.
1, 5
Suppose 72 = -4*k + 108. Let 5*j + 2*j**2 + 8*j**3 - 3*j**3 - j**5 - 4*j**4 + 2 + 0*j**5 - k*j**3 = 0. Calculate j.
-2, -1, 1
Let u be 12/(-20) + 327/(-5). Let h = u + 80. Factor 0*a**5 + h*a**4 + 2*a**5 - 10*a**4.
2*a**4*(a + 2)
Let s(r) = -31*r - 171. Let t be s(-6). Let x be (-6)/t - (-3 - (-168)/80). Factor 0 + 1/4*l**3 + x*l**2 + 0*l.
l**2*(l + 2)/4
Factor 3 - 10*u**2 + 477*u**2 - 146*u + 625*u**4 + 471*u**2 + 1051*u**2 - 313*u**2 + 2450*u**3.
(u + 1)*(u + 3)*(25*u - 1)**2
Let p = -574/23 - -20227/828. Let s = 7/9 + p. Factor 1/4*q**3 - s*q + 1/4 - 1/4*q**2.
(q - 1)**2*(q + 1)/4
Let p be (962/(-39))/(352/24). Let z = -13/11 - p. What is a in -5/4*a**4 + 5/4*a**2 + z*a - 1/2*a**3 + 0 = 0?
-1, -2/5, 0, 1
Let q be (-4 + (796 - 5))*2/6. Let h = q + -261. Factor 0*s**4 + 0*s**2 + 0 + h*s**3 - 2/3*s**5 - 2/3*s.
-2*s*(s - 1)**2*(s + 1)**2/3
Let p = 213 + -209. Find f, given that -p*f**3 - 3*f**2 - 8 + f - 16*f - 3*f**2 + 5*f**3 = 0.
-1, 8
Factor 1/5*o**3 + 363/5 - 19/5*o**2 + 11*o.
(o - 11)**2*(o + 3)/5
Let q = -51856/3 + 17286. Let w(i) be the first derivative of -5/2*i**2 + 38 + 3*i - q*i**3. Let w(m) = 0. Calculate m.
-3, 1/2
Let r be (114/(-95))/((-2)/5). Suppose 7*y = r*y + 2500. Factor -5*f**3 - 375*f - y - 24*f**2 - 8*f**2 - 41*f**2 - 2*f**2.
-5*(f + 5)**3
Let h(s) = 2 - 22 + 43*s**2 - 20*s - 41*s**2. Let k be h(11). Factor 0 - 3*q**3 - 1/5*q - 4/5*q**5 + 13/5*q**4 + 7/5*q**k.
-q*(q - 1)**3*(4*q - 1)/5
Let k = 429972753 + -1724620701955/4011. Let n = -2/573 + k. Find h, given that -n*h**4 - 2*h**5 + 4/7*h + 18/7*h**2 + 0 + 10/7*h**3 = 0.
-1, -2/7, 0, 1
Let d(i) = 2*i**2 + 491*i + 778. Let z(o) = 13*o - 2. Let w(s) = -d(s) + 7*z(s). Find q, given that w(q) = 0.
-198, -2
Suppose 50*k - 44 = 28*k. Let t(u) be the second derivative of -1/21*u**3 + 0*u**k + 1/14*u**4 - 4*u + 0 + 2/35*u**5. Factor t(j).
2*j*(j + 1)*(4*j - 1)/7
Let s(b) = -b**5 + 16*b**4 - 2*b**2 + 2*b. Let v(m) = -3*m**5 + 47*m**4 - 6*m**2 - m**2 + 172 + 7*m - 172. Let l(o) = -14*s(o) + 4*v(o). Factor l(d).
2*d**4*(d - 18)
Let z(g) be the third derivative of g**6/20 + 379*g**5/20 + 189*g**4/8 - g**2 - 1914. Suppose z(o) = 0. Calculate o.
-189, -1/2, 0
Let g(d) be the third derivative of -d**6/540 - 343*d**5/270 - 151*d**4/12 - 113*d**3/3 + d**2 - 1140. Find u, given that g(u) = 0.
-339, -3, -1
Let m(c) be the second derivative of -c**7/231 + 2*c**6/11 + 98*c**5/55 - 379*c**4/33 + 271*c**3/11 - 280*c**2/11 - 8045*c. Determine l so that m(l) = 0.
-8, 1, 35
Let v be (39/9 - -1) + (-8200)/(-1025). Factor -32 - 4/3*p**2 - v*p.
-4*(p + 4)*(p + 6)/3
Let f be (-4)/(-30) + 168/(-1260). Let p(w) be the second derivative of f*w**5 + 0*w**3 - 1/48*w**4 + 0*w**2 + 1/120*w**6 + 22*w + 0. Factor p(l).
l**2*(l - 1)*(l + 1)/4
Determine q so that -352502*q + 20*q**2 - q**4 - 199*q**2 + 26*q**3 + 352656*q = 0.
0, 1, 11, 14
Factor -2/23*z**2 - 320/23 + 88/23*z.
-2*(z - 40)*(z - 4)/23
Suppose -4*l - 16 = 0, -4*s + 2 = -5*l - 26. Let p(r) = -r. Let u(a) = -a**2 + 79*a - 1444. Let o(j) = s*u(j) + 6*p(j). Factor o(w).
-2*(w - 38)**2
Find g, given that 22*g**4 - 29*g**4 - 85*g + 42 - 265*g**2 - 75*g**3 + 70*g**2 = 0.
-7, -3, -1, 2/7
Let w(q) be the first derivative of 0*q + 0*q**2 + q**4 + 64/3*q**3 + 154. Find s such that w(s) = 0.
-16, 0
Let l(r) be the second derivative of 0 + 2/3*r**3 + 1/2*r**4 - 1/15*r**6 + 0*r**5 + 0*r**2 - 121*r. Factor l(m).
-2*m*(m - 2)*(m + 1)**2
Let a(u) = 0*u + 10 - 4*u + 6*u - 4*u. Let j be a(2). Find r such that -1 + 2*r**3 - j*r**2 - 28*r + 1 + 32*r = 0.
0, 1, 2
Let b(r) be the third derivative of r**6/2340 + 11*r**5/390 + 121*r**4/156 + 7*r**3/2 + 33*r**2 - 1. Let q(f) be the first derivative of b(f). Factor q(y).
2*(y + 11)**2/13
Let d = -8/29 - -317/203. Find u, given that 0*u - 3/7*u**5 + 24/7*u**2 + 0 - d*u**4 + 18/7*u**3 = 0.
-4, -1, 0, 2
Factor 4/9*n**2 + 0*n + 2/9*n**4 + 0 - 2/3*n**3.
2*n**2*(n - 2)*(n - 1)/9
Let o = -4 - -4. Suppose s + 5*u = 2*u + 17, 5*u - 25 = o. Find r, given that 3*r**2 - 11 + 11 - 5*r**4 + s*r**4 = 0.
-1, 0, 1
Let x(z) = -2*z + 28. Let n be x(13). Factor -3*k**n + 4*k**2 + 0*k**2 + 209 + 275 + 44*k.
(k + 22)**2
Let j(z) be the first derivative of -5/4*z**4 + 55/3*z**3 + 85 + 0*z + 0*z**2. Factor j(n).
-5*n**2*(n - 11)
Let h(m) be the second derivative of 3/5*m**2 - 3/10*m**3 + 46*m 