**5 + 53.
4*(y - 4)*(y - 1)*(y + 1)**3
Factor -98*v + 324*v - 1648*v**2 + 696 + 1646*v**2.
-2*(v - 116)*(v + 3)
Let r = 1806931 + -1806911. Suppose -r - 65/4*p**3 + 95*p**2 - 115*p = 0. Calculate p.
-2/13, 2, 4
Let p(s) be the third derivative of s**7/4200 - s**6/900 - s**5/200 - 7*s**3 + 4*s**2 - 5*s. Let d(y) be the first derivative of p(y). Factor d(b).
b*(b - 3)*(b + 1)/5
Let o be (-30)/(-2) - -30*98/(-245). What is t in 0*t + 0 - 1/7*t**o + 0*t**2 = 0?
0
Let o(v) = 3*v**2 + 40*v + 16. Let p be o(-13). Factor 18*g + p*g**2 - 15*g - 7*g**2 - 43*g.
-4*g*(g + 10)
Let m be ((-1862)/(-304))/49*14. Determine g so that -1/4*g**2 + 1/4*g**4 - m*g**3 + 0 + 7/4*g = 0.
-1, 0, 1, 7
Let h(p) be the first derivative of p**4/20 + 19*p**3/15 + 22*p**2/5 - 64*p/5 - 468. Solve h(w) = 0.
-16, -4, 1
Suppose -12*w**2 - 66*w**3 + 66*w**3 - 3*w**3 = 0. What is w?
-4, 0
Let b(n) be the second derivative of -n**6/120 - 11*n**5/60 - n**4 + 6*n**3 - 3*n**2 - 2*n + 6. Let o(g) be the first derivative of b(g). Factor o(x).
-(x - 1)*(x + 6)**2
Let f(n) be the third derivative of n**9/3024 - n**7/504 + 11*n**4/24 - n**3 + 80*n**2. Let g(z) be the second derivative of f(z). Factor g(r).
5*r**2*(r - 1)*(r + 1)
Let p(h) = 21*h - 35. Let x(r) = -22*r + 27. Let u(z) = 5*p(z) + 4*x(z). Let q be u(5). Factor 24*w - 21/2*w**2 - q + 3/2*w**3.
3*(w - 3)*(w - 2)**2/2
What is h in 20250 + 2/5*h**2 - 180*h = 0?
225
Let i = -583698 - -583700. Factor 1/5*v**4 + 18/5*v**3 + 144/5*v + 64/5 + 97/5*v**i.
(v + 1)**2*(v + 8)**2/5
Let i(u) be the second derivative of 36*u**5/35 + 32*u**4/7 + 170*u**3/21 + 50*u**2/7 - 1124*u. Factor i(g).
4*(g + 1)*(6*g + 5)**2/7
Suppose -g - 26 = -5*m, 5*m + 6*g - 2*g = -4. Let l(c) be the first derivative of 2/15*c**5 + 0*c + 32 - 2/9*c**3 + 0*c**2 + 0*c**m. Factor l(n).
2*n**2*(n - 1)*(n + 1)/3
Let a(u) be the first derivative of -4*u**5/5 - 16*u**4 - 84*u**3 - 184*u**2 - 176*u - 1846. Factor a(d).
-4*(d + 1)*(d + 2)**2*(d + 11)
Let q = -3897/88 + 6057/88. Factor -q*m**2 - 264 - 6/11*m**3 - 288*m.
-6*(m + 1)*(m + 22)**2/11
Let x(g) = g**3 + 6*g**2 - 8*g - 4. Let o be x(-8). Let z = o - -72. Factor 4*n - 31*n**2 - z*n + 3*n + 2 + 32*n**2.
(n + 1)*(n + 2)
Let d(b) = -5*b - 1. Let v be d(-1). Let f be 16/20 - (10 - (4 + (-504)/(-70))). Determine t, given that 4/3 - 8/3*t - v*t**f = 0.
-1, 1/3
Let q(s) be the second derivative of -5/11*s**3 + 0*s**2 - 1 - 1/66*s**4 - 46*s. Factor q(a).
-2*a*(a + 15)/11
Suppose -3146 = 22942*s - 24515*s. Suppose 20*u - 104/3 - 4/3*u**s = 0. What is u?
2, 13
Let s = 18686 - 18686. Let r(x) be the second derivative of 1/2*x**2 + 1/12*x**4 + 1/3*x**3 + 12*x + s. Determine z so that r(z) = 0.
-1
Let t = 138/205 - -1427/1230. Let s(o) be the third derivative of 1/2*o**4 + 1/60*o**5 + 0*o + 4*o**2 + 0 + t*o**3. Factor s(h).
(h + 1)*(h + 11)
Solve -277*w - 100*w**4 - 848*w + 610*w**3 - 5*w**5 + 28300*w**2 - 28720*w**2 = 0.
-25, -1, 0, 3
Let i(j) = -2*j**2 + 93*j - 36. Let a be i(46). Let q be 1/(-6) + (a - 76/8). Find s such that -q*s**2 + 1/3 + 0*s = 0.
-1, 1
Factor 0 + 2/7*s**3 + 0*s**2 - 242/7*s.
2*s*(s - 11)*(s + 11)/7
Factor -54*t**4 + 0 + 0*t - 4/3*t**3 + 0*t**2.
-2*t**3*(81*t + 2)/3
Suppose -577*w - 563*w = -1186*w - 7 + 237. What is n in 404/5*n**4 + 122/5*n + 106*n**w - 652/5*n**3 - 80*n**2 - 4/5 = 0?
-1, 2/53, 1/5, 1
Determine m, given that -60 - 3/4*m**2 - 27/2*m = 0.
-10, -8
Factor 70*n**4 - 10085*n**2 - 300*n**3 + 10335*n**2 + 625*n - 8*n**5 + 3*n**5.
-5*n*(n - 5)**3*(n + 1)
Solve 1/8*r**3 + 55/4 + 137/8*r + 7/2*r**2 = 0 for r.
-22, -5, -1
Let s(q) be the third derivative of q**7/840 + q**6/80 - q**5/10 + 151*q**4/24 + 7*q**2 + 2. Let c(u) be the second derivative of s(u). Factor c(n).
3*(n - 1)*(n + 4)
Determine o so that -76 + 193*o**2 + 81 + 917*o**2 + 145*o + 2160*o**3 = 0.
-1/3, -1/8, -1/18
Let o(k) = 7*k**2 + 7*k. Let q = -125 - -121. Let b(p) = 27*p**2 + 27*p. Let i(g) = q*b(g) + 15*o(g). Factor i(j).
-3*j*(j + 1)
Factor -163606 + 165906 + 17*z + 5*z**2 + 198*z.
5*(z + 20)*(z + 23)
Let f(i) = 31*i**3 - 83*i**2 + 53*i + 9. Let u(v) = -46*v**3 + 125*v**2 - 80*v - 15. Let k(d) = 8*f(d) + 5*u(d). Factor k(o).
3*(o - 1)**2*(6*o - 1)
Let f be (-1649)/(-102) + -22 + 6. Let i be ((-1)/(-15))/((-4)/(-10)). Suppose f*l**2 - 1/6 - 1/6*l + i*l**3 = 0. Calculate l.
-1, 1
Let r = 3661223/6487096 + -91/21062. Let c = r - -1/88. Solve c*t**3 + 8/7*t**2 - 8/7 - 4/7*t = 0 for t.
-2, -1, 1
Factor 1/2*d**2 - 2246*d + 2522258.
(d - 2246)**2/2
Let k be ((-1)/((-1096)/6))/((-6)/24). Let d = 527/959 - k. Factor 6/7*w**2 + 0 + d*w + 2/7*w**3.
2*w*(w + 1)*(w + 2)/7
Solve 764/5*m**2 - 428*m**4 + 0 + 1266/5*m**3 + 5*m**5 + 17*m = 0.
-1/5, 0, 1, 85
Let q(w) be the third derivative of -w**5/30 + 67*w**4/12 + 146*w**3 + 77*w**2 - 3. Find a such that q(a) = 0.
-6, 73
Suppose 146 - 66 = 20*p. Let l(v) be the first derivative of 98/45*v**3 - 21 + 0*v**2 + 0*v + 2/75*v**5 - 7/15*v**p. Factor l(z).
2*z**2*(z - 7)**2/15
Let u(a) be the second derivative of -1/160*a**6 - 13*a**2 - 1/32*a**4 + 1/40*a**5 + 17*a + 0 + 0*a**3. Let k(t) be the first derivative of u(t). Factor k(r).
-3*r*(r - 1)**2/4
Let f = -337 - -463. Let n be (220/f + -2)/((-6)/18). Factor 2/21*z**2 - 4/7*z + n.
2*(z - 4)*(z - 2)/21
Let x(w) be the third derivative of 34/105*w**7 - 184*w**2 - 31/30*w**6 - 1/84*w**8 + w**5 + 0 + 0*w**3 + 0*w**4 + 0*w. Factor x(a).
-4*a**2*(a - 15)*(a - 1)**2
Let x(f) be the first derivative of 47*f**4/18 + 346*f**3/9 + 446*f**2/3 + 112*f/9 + 459. Factor x(q).
2*(q + 4)*(q + 7)*(47*q + 2)/9
Let -16*h**3 + 2/3*h**4 - 42 + 16*h + 124/3*h**2 = 0. What is h?
-1, 1, 3, 21
Let y(k) = -5*k**3 + 3*k**2 + 9*k + 43. Let j(w) = w**3 - w**2 - 2*w - 11. Let m(v) = 9*j(v) + 2*y(v). Let c(s) be the first derivative of m(s). Factor c(l).
-3*l*(l + 2)
Let s(z) be the third derivative of z**5/240 + 2335*z**4/96 - 292*z**3/3 + 1385*z**2 + z. Determine r so that s(r) = 0.
-2336, 1
Let t = 436447/6 + -71316. Let p = t - 1421. Solve p + 1/6*h**2 + 5/3*h = 0.
-5
Factor -258*a - 100 - 63*a**2 - 189*a**3 + 186*a**3 - 188.
-3*(a + 2)*(a + 3)*(a + 16)
Let h be (-2)/((-192)/382) + 9258/49376. Factor -25/6 + 5/6*d**3 - 5/6*d + h*d**2.
5*(d - 1)*(d + 1)*(d + 5)/6
Let x(b) = -11564*b - 92508. Let f be x(-8). Factor f*q**2 + 48/5 - 1/5*q**3 - 67/5*q.
-(q - 16)*(q - 3)*(q - 1)/5
Let d(s) = s. Let g(z) = -10*z + 61. Let n(w) = -2*d(w) - g(w). Let p be n(8). Let -2/13*h**4 + 2/13*h**2 + 0 + 0*h - 2/13*h**5 + 2/13*h**p = 0. Calculate h.
-1, 0, 1
Let -2/7*z**3 + 4/7*z**2 + 230/7*z + 104 = 0. Calculate z.
-7, -4, 13
Suppose -5*g - 4*f + 56 = 0, 3710*g + 65 = 3715*g + 5*f. Factor -18*z**3 - 25/2*z + g*z**4 + 0 + 105/4*z**2.
z*(z - 2)*(4*z - 5)**2/4
Let q be ((-376)/(-235))/((-292)/(-190)). Let h = 2728/657 - q. Factor -98/9 - h*z - 2/9*z**2.
-2*(z + 7)**2/9
Let d(n) = 2*n**3 - 3*n**2 + 19*n - 16. Let p be d(7). Factor -1102736*q**2 + 37035*q**3 + 4*q**5 + 4707*q**3 - 1398*q**3 - p*q**4 + 11303044*q.
4*q*(q - 41)**4
Suppose -20/9 + 50/9*o**2 - 82/3*o = 0. What is o?
-2/25, 5
Let p(w) be the first derivative of 51*w**5/5 - 81*w**4/2 + 60*w**3 - 39*w**2 + 9*w + 424. Factor p(f).
3*(f - 1)**3*(17*f - 3)
What is u in -508032/13*u + 0 - 2016/13*u**2 - 2/13*u**3 = 0?
-504, 0
Factor 481404 + 764052 - 1851*k + 4*k**2 - 2613*k.
4*(k - 558)**2
Let u(d) be the first derivative of 2*d**3/9 + 35*d**2 + 396*d - 1990. Find f, given that u(f) = 0.
-99, -6
Suppose 5*g = 15, -213*k + 209*k + 4*g + 36 = 0. Suppose 9*s - 12 - 15/4*s**3 + k*s**2 - 9/2*s**4 - 3/4*s**5 = 0. What is s?
-4, -2, 1
Let r(g) = 2*g**4 + 52*g**3 + 210*g**2 - 262*g + 2. Let a(f) = 4*f**4 + 103*f**3 + 421*f**2 - 523*f + 5. Let l(t) = -2*a(t) + 5*r(t). Let l(q) = 0. Calculate q.
-22, -6, 0, 1
Let x(r) be the second derivative of r**7/70 - 151*r**6/50 - 93*r**5/20 + 91*r**4/4 + 77*r**3/5 - 456*r**2/5 + 3990*r. Let x(j) = 0. Calculate j.
-2, -1, 1, 152
Suppose b - 178 = -0. Let s = b - 13. Factor 3*w**4 - 165 - 4*w**3 - 24*w - 14*w**3 + 36*w**2 + s.
3*w*(w - 2)**3
Let g(d) be the second derivative of 3*d**5/20 + 59*d**4/4 + 420*d**3 - 1350*d**2 + 3094*d. Factor g(n).
3*(n - 1)*(n + 30)**2
Find z such that -3*z**4 + 126*z**3 + 131*z**3 + 63*z**3 - 60*z**3 + 33282*z - 17157*z**2 + 2*z**4 = 0.
0, 2, 129
Let p(h) = -2*h**2 - 73*h - 245. Let x(n)