 + 279. Factor k(s).
4*(s - 806)**2
Factor 64*h**3 + 4*h**4 - 270*h**5 - 102*h + 36*h**4 + 34*h - 8*h**2 - 32 + 274*h**5.
4*(h - 1)*(h + 1)**3*(h + 8)
Suppose 4078*g - 15264*g**2 - 2916 - 301693*g**2 - 23730*g**3 + 56942*g - 441*g**4 = 0. What is g?
-27, 2/21
Factor -176/7*j**2 + 0 + 360/7*j - 2/7*j**3.
-2*j*(j - 2)*(j + 90)/7
Solve -2*b**2 - 432 + 60 - 66 + 18 + 58*b = 0 for b.
14, 15
Let k be 191/(-3820) + 2/8. Let -38/5*i**3 + 7/5*i**4 + k*i**2 + 34/5*i - 8/5 + 4/5*i**5 = 0. What is i?
-4, -1, 1/4, 1, 2
Factor 414*h**3 - 4*h**2 - 3*h - 73*h**4 + 77*h**4 - 412*h**3 + h**5.
h*(h - 1)*(h + 1)**2*(h + 3)
Suppose -3 = 7*j - 24. Solve 2*d**2 + 8*d**4 - 16*d**2 - 9*d**4 + 2*d**2 - 3*d**4 - 16*d**j = 0.
-3, -1, 0
Suppose -84*l + 3510 = -78*l. Suppose -591*b + 12 = -l*b. Find w, given that -1/3*w**3 - 1/3*w**b + 1/3 + 1/3*w = 0.
-1, 1
Suppose 0 = -4*x + 2*q - 140 + 166, 24 = 3*x - 2*q. Determine d, given that -8/5 + 8*d**3 + 51/5*d**2 + x*d + 7/5*d**4 = 0.
-4, -1, 2/7
Factor 6/5 + 44/15*s**2 + 2/15*s**4 + 16/15*s**3 + 16/5*s.
2*(s + 1)**2*(s + 3)**2/15
Factor 3/7*m**3 - 48/7*m**2 + 162/7 - 117/7*m.
3*(m - 18)*(m - 1)*(m + 3)/7
Determine u, given that -8 + 70/3*u + 11/3*u**2 - 14/3*u**3 - u**4 = 0.
-4, -3, 1/3, 2
Suppose -14*f + 11*f - 21 = -3*r, -f + 2 = 2*r. Suppose r*q + 4*h = 0, -q - q - 3*h = 0. Determine u so that 0*u**3 + 0 + 2/3*u**4 - 2/3*u**2 + q*u = 0.
-1, 0, 1
Let f(w) = -w**4 - 6*w**3 + w**2 - w + 1. Let y(b) = 4*b**4 - 168*b**3 + 8830*b**2 - 17109*b + 8461. Let o(i) = 3*f(i) + y(i). Factor o(d).
(d - 92)**2*(d - 1)**2
Let r(t) = t**4 - 18*t**3 + 40*t**2 + 9*t + 5. Let c(d) = -d**4 + 35*d**3 - 84*d**2 - 19*d - 11. Let m(p) = -5*c(p) - 11*r(p). Find s such that m(s) = 0.
-1/6, 0, 2
Factor -65/8*p**2 + 15/8 + 161/4*p.
-(p - 5)*(65*p + 3)/8
Let 3*j - 805*j**2 - 16*j**4 - 1515*j**3 - 49*j**4 + 129*j + 500*j**5 + 43*j + 30 = 0. Calculate j.
-1, -3/25, 1/4, 2
Let k(a) = 412*a + 86. Let m be k(-3). Let l = m + 1152. What is v in -1 - 3/2*v**3 - 5*v**l - 9/2*v = 0?
-2, -1, -1/3
Let q(o) be the third derivative of o**5/10 + 149*o**4/12 + 98*o**3/3 - o**2 + 169*o. Find d, given that q(d) = 0.
-49, -2/3
Factor 9*l**2 + 1356*l + 1777*l - l**2 - 3*l**2 - 1003*l + 226845.
5*(l + 213)**2
Factor 10/3*d**4 + 53144*d**2 - 778034/3 + 3858196/3*d + 2188/3*d**3.
2*(d + 73)**3*(5*d - 1)/3
Let v(h) be the second derivative of 5*h**4/12 + 17860*h**3/3 + 31897960*h**2 - 2*h + 382. Determine g so that v(g) = 0.
-3572
Let t(x) = x**2 + 23*x + 102. Suppose -16 = 4*o + 8. Let u be t(o). Factor -18/5*z**4 - 2/5*z**2 + u*z - 12/5*z**3 - 8/5*z**5 + 0.
-2*z**2*(z + 1)**2*(4*z + 1)/5
Let s(r) be the second derivative of -2*r**3 + 0 - 1/12*r**4 + 13/2*r**2 - 128*r. Factor s(v).
-(v - 1)*(v + 13)
Suppose 4 - 16 = 6*a. Let f be (15/a + 0)/((-2)/4). Factor 288 - 288 - 5*n**2 - f*n.
-5*n*(n + 3)
Suppose -3*f + 0*h = -4*h - 3792, -3*h - 5049 = -4*f. Let q = 6308/5 - f. Factor -4/5*i**3 - 14/5*i**2 + q - 8/5*i.
-2*(i + 2)**2*(2*i - 1)/5
Let v(g) = 10*g**4 - 50*g**3 - 5. Let z(w) = 2*w**4 + w**3 + 2*w**2 + 1. Let h(t) = -v(t) - 5*z(t). Factor h(u).
-5*u**2*(u - 2)*(4*u - 1)
Let m(k) be the second derivative of 0 + 8/3*k**3 + 16*k + 1/3*k**5 + 7/30*k**6 - 18*k**2 - 8/3*k**4. Let n(q) be the first derivative of m(q). Factor n(c).
4*(c - 1)*(c + 2)*(7*c - 2)
Let n(v) be the second derivative of 0*v**4 - 3/2*v**2 + 1/240*v**5 + 1/480*v**6 + 0 + 11*v + 0*v**3. Let z(q) be the first derivative of n(q). Factor z(h).
h**2*(h + 1)/4
Let t(k) be the first derivative of k**5/25 + 37*k**4/10 + 624*k**3/5 + 1728*k**2 + 27648*k/5 - 727. Solve t(f) = 0 for f.
-24, -2
Let c(z) be the first derivative of -z**5 + 1285*z**4/4 + 5*z**3/3 - 1285*z**2/2 - 3043. Factor c(b).
-5*b*(b - 257)*(b - 1)*(b + 1)
Suppose 46*w - 56*w = -270. Let v be (-4)/(-63) - (-6)/w. Find k, given that -2/7*k + 0 - v*k**2 = 0.
-1, 0
Factor 16/3*c**2 - 14/3*c - 1/3*c**4 + 14/3*c**3 - 5.
-(c - 15)*(c - 1)*(c + 1)**2/3
Let j(w) = w + 1. Let s(y) = 2*y**2 - 3*y - 3. Let l = 2 - -12. Let z be (-4)/l - (384/(-28))/6. Let p(k) = z*s(k) + 6*j(k). Factor p(q).
4*q**2
Let t(c) be the second derivative of -9/13*c**2 - 1/78*c**4 - 10/39*c**3 + 40*c + 0. Factor t(b).
-2*(b + 1)*(b + 9)/13
Find q such that 0 + 96*q - 272/3*q**2 + 56/3*q**3 + 4/3*q**4 = 0.
-18, 0, 2
Suppose 20280 = 38*m - 53*m. Let w = 1356 + m. Factor 1/2 + 13/4*n + 23/4*n**3 + 7/4*n**w + 27/4*n**2.
(n + 1)**3*(7*n + 2)/4
Factor 7*w**2 + 157*w + 300*w - 6*w**2 - w**2 - w**2.
-w*(w - 457)
Factor 3158*i + 3603 - 3603 + 4*i**2 - 474*i.
4*i*(i + 671)
Let h = -455/3 + 154. Suppose 20 = 4*l - 4*c, -10*l + 17 = -5*l - c. Suppose -2/3*x**2 - 1/3*x**l - 4/3 + h*x = 0. What is x?
-4, 1
Let r(f) be the first derivative of -f**7/315 + 7*f**6/240 - 7*f**5/120 + f**4/36 - 249*f**2/2 + 153. Let w(z) be the second derivative of r(z). Factor w(d).
-d*(d - 4)*(d - 1)*(4*d - 1)/6
Let k = 11356 + -124913/11. Let y(s) be the first derivative of 2/33*s**3 + 0*s - k*s**2 + 18. Factor y(f).
2*f*(f - 3)/11
Let c be ((-6)/(-4))/((-18)/(-4800)). Let b = c - 2796/7. Factor 16/7*i + b*i**2 + 16/7.
4*(i + 2)**2/7
Let m = -320392 + 320405. Factor 13/3*z**2 + 9 + 1/3*z**3 + m*z.
(z + 1)*(z + 3)*(z + 9)/3
Let b(c) be the first derivative of -c**6/405 + c**5/108 - c**4/108 + 14*c**3/3 + 85. Let x(l) be the third derivative of b(l). Factor x(n).
-2*(n - 1)*(4*n - 1)/9
Let h(o) be the second derivative of -o**6/90 + 11*o**5/30 + 2*o**4 + 7*o**3/3 + 3*o**2/2 + 35*o. Let p(w) be the second derivative of h(w). Solve p(b) = 0.
-1, 12
Let d(f) = 13*f**2 - 669*f - 710. Let s(r) = -45*r**2 + 2343*r + 2484. Let i(k) = -24*d(k) - 7*s(k). Find z such that i(z) = 0.
-1, 116
Let q = -57 + 59. Suppose x - 2 + 1 = -u, -q*x + 5*u + 16 = 0. Solve 3*d**3 - 8 + 6*d**2 - 4*d**x - d**3 = 0.
-1, 2
Suppose 768320*h + 288*h**3 - 14845*h**2 + 4516*h**2 - 20392*h**2 + 5647152 - h**4 + 3673*h**2 = 0. Calculate h.
-6, 98
Suppose 2 = -6710*c + 7523*c + 2. Factor -9/2*o**3 + c + 12*o**2 + 0*o - 3/4*o**4.
-3*o**2*(o - 2)*(o + 8)/4
What is p in -3*p**2 - 630 + 630 - 75*p + 0*p**2 + 75*p**3 + 3*p**4 = 0?
-25, -1, 0, 1
Let k(c) be the second derivative of -c**4/3 - 52*c**3/3 - 306*c**2 - 1536*c. Factor k(b).
-4*(b + 9)*(b + 17)
Let s be (-1 - 1)*((-205)/2050 + (-1)/(-60)). Factor -1/6*u**3 + 0 - s*u**4 + 0*u**2 + 0*u.
-u**3*(u + 1)/6
Let q be ((-176)/72 - -1)/(-2 + -1). Let x(y) be the second derivative of 0 - 4/9*y**2 - 5/18*y**4 - 1/135*y**6 - 7/90*y**5 - 16*y - q*y**3. Factor x(h).
-2*(h + 1)**3*(h + 4)/9
Let k(f) be the second derivative of 0 + 4*f + 1/42*f**4 + 1/21*f**3 + 1/210*f**5 + f**2. Let t(p) be the first derivative of k(p). Factor t(v).
2*(v + 1)**2/7
Let j = -17604 + 17610. Let p(u) be the second derivative of 1/12*u**4 - 3/20*u**5 + 36*u + 0 + 1/2*u**3 + 1/30*u**j - u**2. Factor p(b).
(b - 2)*(b - 1)**2*(b + 1)
Suppose -17 + 233 = 27*v. Let c be 18/(-4)*v/(-30). Factor c*b**3 + 0 + 2*b**2 - 4/5*b.
2*b*(b + 2)*(3*b - 1)/5
Suppose 24*m = 411 + 213. Let x be (12/2)/(-5*m/(-65)). Determine q, given that 1/4*q**4 + 0 + 3/4*q**2 - 3/4*q**x - 1/4*q = 0.
0, 1
Suppose 0 = 4*v + 2292 - 48. Let k be v/(-68) - (1 - -7). Factor z**4 - k*z + 0 + 1/4*z**3 - z**2.
z*(z - 1)*(z + 1)*(4*z + 1)/4
Let b(k) = -k**2 + 5*k + 14. Let w be b(7). Suppose w = -6*x - 0*x + 480. Factor 22*p - x*p**2 - 7 - 1 + 14*p**3 + 4 + 48*p**2.
2*(p - 1)**2*(7*p - 2)
Factor -16*j**3 - 21*j**4 + 17*j**4 + 280*j - 5*j**2 - 800 + 113*j**2.
-4*(j - 4)*(j - 2)*(j + 5)**2
Let w = -496469 + 496478. Find k, given that -w*k**2 + 0 + 54/5*k - 1/5*k**4 + 12/5*k**3 = 0.
0, 3, 6
Suppose 84*c = 69*c + 45. Let i(d) = -7*d**2 - 94*d - 43. Let k(q) = 15*q**2 + 188*q + 85. Let g(z) = c*k(z) + 7*i(z). Factor g(b).
-2*(b + 23)*(2*b + 1)
Let h = -807 - -798. Let r be 616/(-132)*-2*h/(-8). Find a, given that -1029/4*a**5 + 735/2*a**4 - 3/2 + r*a**3 - 93/4*a - 96*a**2 = 0.
-2/7, -1/7, 1
Let j(w) = 6*w**2 - 26*w + 26. Let h be j(1). Let z(c) = c**2 + 26*c + 66. Let o(y) = 5*y**2 + 104*y + 266. Let d(g) = h*o(g) - 26*z(g). Factor d(k).
4*(k - 15)*(k + 2)
Let c(o) = 9*o**3 + 409*o**2 + 1106*o + 549. Let l(j) = 55*j**3 + 2447*j**2 + 6634*j + 3293. Let d(m) = -19*c(m) + 3*l(m). Find z such that d(z) = 0.
-69, -2, -2/3
Let y(z) be the first derivative of -2/15*z**5 + 44/9*z**3 + 0*z + 2