*v**4 + 73*v**3 + 215*v**2 - 1913*v + 2311. Let b(q) = -6*q**4 - 36*q**3 - 108*q**2 + 956*q - 1156. Let f(u) = 7*b(u) + 4*z(u). Factor f(k).
2*(k - 2)**2*(k + 12)**2
Suppose 10*o + 30 = 16*o. Suppose -34*f + o = -33*f. Let -3*u**5 + 5*u**4 - 105*u**3 + 3*u**4 + 75*u**2 + 20*u**4 + f*u**4 = 0. Calculate u.
0, 1, 5
Factor 5*f**5 + 4*f**4 - 10*f**4 + 96*f**2 + 128*f + 2*f**5 - 8*f**5 + 3*f**5 - 40*f**3.
2*f*(f - 4)**2*(f + 1)*(f + 4)
Let h(w) be the third derivative of w**6/840 + 79*w**5/420 + 715*w**4/168 + 575*w**3/14 + 4*w**2 - 88*w + 2. Solve h(s) = 0.
-69, -5
Let b(z) be the first derivative of 8*z**3/3 - 5*z**2 - 12*z - 9. Let y(q) = 23*q**2 - 30*q - 37. Let d(i) = -8*b(i) + 3*y(i). Let d(j) = 0. What is j?
-1, 3
Let a(z) = -z**2 - 929*z + 914. Let r(y) = y**2 + 309*y - 304. Let f(d) = 3*a(d) + 8*r(d). Suppose f(c) = 0. Calculate c.
1, 62
What is p in -596*p**2 - 8664*p - 4092*p - 4*p**3 - 18366 - 8524*p + 30551 + 57127 = 0?
-76, 3
Suppose 91*m = -111*m + 183*m. Let y(s) be the second derivative of -10*s**2 + 1/4*s**5 + 5/12*s**4 + 6*s - 10/3*s**3 + m. Factor y(x).
5*(x - 2)*(x + 1)*(x + 2)
Let p(k) = 8*k**3 - 5950*k**2 + 4422336*k + 4428336. Let d(m) = -15*m**3 + 11900*m**2 - 8844672*m - 8856664. Let y(v) = 6*d(v) + 11*p(v). What is i in y(i) = 0?
-1, 1488
Let p(x) be the third derivative of x**5/120 + 31*x**4/48 - 8*x**3/3 - 1003*x**2. Find t, given that p(t) = 0.
-32, 1
Let l(k) = -61*k**2 - 36*k + 175. Let h(w) = 26*w**2 + 18*w - 86. Let g(c) = -14*h(c) - 6*l(c). Factor g(j).
2*(j - 11)*(j - 7)
Factor -140 + 412130*l - 412287*l - 18 + l**2.
(l - 158)*(l + 1)
Let z = 0 - -36. Let y = -2265 + 2286. Determine v so that -2*v - 4*v - 9*v**3 - y*v**2 + z*v**3 = 0.
-2/9, 0, 1
Let w = -104 - -559. Let c(o) = o**3 + 9*o**2 - 11*o - 4. Let a be c(-10). Solve -w*b - 5*b**2 - a*b**3 + 29*b**2 - 12 + 3*b**5 + 458*b - 12*b**4 = 0 for b.
-1, 1, 4
Factor -246*u**2 - 242*u**2 + 977*u**2 - 244*u**2 + 16*u - 13 - 248*u**2.
-(u - 1)*(3*u - 13)
Let l be ((-3)/(-9) - (-21)/(-9))/((-320)/480). Factor h**l - h**2 - 1/2*h**5 + 1/2 + 1/2*h**4 - 1/2*h.
-(h - 1)**3*(h + 1)**2/2
Suppose 0 = -s - 0*s + 2. Factor 9*b**3 - 6 + s*b**2 + b**2 + 3*b**4 - 2110*b + 2101*b.
3*(b - 1)*(b + 1)**2*(b + 2)
Let v(r) be the third derivative of 17/45*r**5 + 0*r**3 + 0 + 289/18*r**4 + 1/360*r**6 + 32*r + 6*r**2. Determine d, given that v(d) = 0.
-34, 0
Let d(r) be the first derivative of -r**5/20 + 27*r**4/16 + 91*r**3/12 - 27*r**2/8 - 45*r/2 - 1335. Determine b so that d(b) = 0.
-3, -1, 1, 30
Let v(o) be the first derivative of o**6/480 - o**5/20 + 3*o**4/8 - 4*o**3/3 + o**2 - 46*o - 7. Let u(p) be the second derivative of v(p). Factor u(c).
(c - 8)*(c - 2)**2/4
Let c be 59908/7905 + 8 + (-38)/(-1767). Factor -17/5*y**3 - 1/5*y**4 - c*y**2 + 128/5 - 32/5*y.
-(y - 1)*(y + 2)*(y + 8)**2/5
Let b(s) be the second derivative of -s**5/420 - s**4/28 - 4*s**3/21 - 87*s**2/2 - 120*s. Let p(k) be the first derivative of b(k). Let p(u) = 0. Calculate u.
-4, -2
Let r be 6 + -1 - (-182 - -380). Let h be 5 + 84/714 + r/51. Suppose h*i**2 + 8/3*i - 4 = 0. Calculate i.
-3, 1
Let w(k) = 2*k**3 - 37*k**2 - 18*k - 14. Let p be w(19). Let j(y) be the first derivative of 0*y + 5/3*y**3 - p*y**2 + 16. Factor j(q).
5*q*(q - 2)
Suppose -173 = 2*h - 183. Factor h*j**2 - 16*j - 555*j**3 + 560*j**3 + 6*j.
5*j*(j - 1)*(j + 2)
Let -19 + 84 - 4*q**2 - 16*q + 3 + 60 = 0. What is q?
-8, 4
Let a(r) be the first derivative of r**4/8 + 5*r**3 + 75*r**2 - 31*r + 1. Let p(v) be the first derivative of a(v). Factor p(j).
3*(j + 10)**2/2
Factor -22*h**3 + 0 + 1/5*h**4 - 337/5*h**2 - 226/5*h.
h*(h - 113)*(h + 1)*(h + 2)/5
Let k(u) be the third derivative of 0*u + 2/35*u**7 + 0*u**3 + 0*u**5 - 1/15*u**6 - 1/84*u**8 + 0*u**4 - 10*u**2 + 1. Solve k(t) = 0 for t.
0, 1, 2
Let t(o) be the second derivative of -4*o**7/21 + 862*o**6/15 - 43*o**5 - 70*o. Factor t(z).
-4*z**3*(z - 215)*(2*z - 1)
Suppose -3835 - 5143 = -67*c. Determine u so that -131*u**2 + 395*u**2 - 132*u**2 - c*u**2 + 32*u - 78 = 0.
3, 13
Solve 270 + 6*r**3 - 1/2*r**4 - 156*r + 1/2*r**2 = 0 for r.
-5, 2, 6, 9
Let w(l) = -l + 5. Let n be w(3). Let i = 1/25640 - -38459/25640. Let 1/2*q**n + 1 - i*q = 0. Calculate q.
1, 2
Let t(b) = 5*b**3 - 138*b**2 + 307*b - 210. Let o(a) = -4*a**2 + a. Let s(z) = 12*o(z) - t(z). Determine f, given that s(f) = 0.
1, 3, 14
Let q be 24/54 - (-496)/18. Suppose q*u = 40*u. Suppose 5/4*t - 5/4*t**2 + u = 0. What is t?
0, 1
Factor 123*h**2 - 244*h**2 - 53*h + 122*h**2.
h*(h - 53)
Suppose p - 109 = -3*i, i + 2 = 2*i. Factor -4500 - p*s**2 + 49*s**2 + 49*s**2 - 300*s.
-5*(s + 30)**2
Let v be (-572)/136 + (-5 - (-6 - 5)). Let h = -5/17 + v. Find t such that -15*t**3 - 81/2 - h*t**4 - 54*t**2 - 81*t = 0.
-3, -1
What is f in -1/5*f**3 + 2058/5*f**2 + 322828856/5 - 1411788/5*f = 0?
686
Let r(d) = -13*d**4 + 15*d**2 - 14*d. Let f(o) = 28*o**4 - 30*o**2 + 29*o. Suppose 6*l + 5*z = 9*l + 7, 4*z - 2 = 2*l. Let t(w) = l*r(w) - 4*f(w). Factor t(n).
5*n*(n - 1)**2*(n + 2)
Factor -2/19*x**2 - 18/19*x + 44/19.
-2*(x - 2)*(x + 11)/19
Let v = 1453784 - 1453782. Factor -184/3*g + 4232/3 + 2/3*g**v.
2*(g - 46)**2/3
Let t be 33384/4280 - (-7)/(-1). Factor t*v**2 - 24/5 + 4*v.
4*(v - 1)*(v + 6)/5
Let w = -4 - -15. Suppose 5*b - 3*n + 4 + w = 0, -25 = -5*b - 5*n. Find s such that 4*s - 8 + 0*s**2 + b*s**2 + 4*s**2 = 0.
-2, 1
Let r be (6/(-5))/(38/(-3515)). Let v be r/74*(-4)/(-14). Let -6/7 + 3/7*w + v*w**2 = 0. Calculate w.
-2, 1
Factor -37*a + 3*a**4 - 12*a - 48*a**3 - 1014*a**2 + 1831*a**2 - 922*a**2 - 5*a.
3*a*(a - 18)*(a + 1)**2
Let v(y) = -y**4 - y. Let z(o) = -3*o**5 - 104*o**4 - 960*o**3 - 1536*o**2 - 2*o. Let x(t) = 2*v(t) - z(t). Factor x(j).
3*j**2*(j + 2)*(j + 16)**2
Let v be (9/(-57))/(15/8*-4). Let i(j) be the first derivative of 9 + v*j**5 + 4/19*j**3 - 4/19*j**2 + 2/19*j - 2/19*j**4. Suppose i(t) = 0. What is t?
1
Let q(g) be the second derivative of 2 - 3/4*g**4 + 21*g - 1/20*g**5 - 10/3*g**3 + 0*g**2. Find w, given that q(w) = 0.
-5, -4, 0
Let p(m) be the first derivative of -5*m**6/18 + 287*m**5/3 + 120*m**4 + 2279. Factor p(k).
-5*k**3*(k - 288)*(k + 1)/3
Let j(g) = 16*g**2 + 812*g - 30. Let y(i) = 2*i**2 - 3. Let l(u) = -j(u) + 10*y(u). Factor l(p).
4*p*(p - 203)
Let v(g) = 7*g**5 + 2*g**4 - 9*g**3 + 2*g**2 - 14*g. Let f(b) = -13*b**5 - 3*b**4 + 17*b**3 - 6*b**2 + 27*b. Let z(c) = 6*f(c) + 11*v(c). Factor z(x).
-x*(x - 4)*(x - 1)**2*(x + 2)
Let q be -4*(-5)/300*(4104/36)/19. Find t such that 2/5*t + q*t**4 + 0 + 6/5*t**3 + 6/5*t**2 = 0.
-1, 0
Let f(y) be the second derivative of y**6/15 - 119*y**5/10 + 2*y + 111. Factor f(l).
2*l**3*(l - 119)
Suppose -50*y + 35*y - 1395 = 0. Let i = y + 93. Factor i*u - 1/3*u**3 + 0 - 2/3*u**4 - 1/3*u**5 + 0*u**2.
-u**3*(u + 1)**2/3
Let h(a) be the third derivative of a**8/784 - 4*a**7/245 + 167*a**2 + 7. Factor h(t).
3*t**4*(t - 8)/7
Let t be 195/6 - 3 - 1. Let n(p) = -p**2 + 68*p - 528. Let a be n(9). Factor 21/2*q**a + 12 + t*q**2 - 51*q.
3*(q - 1)*(q + 4)*(7*q - 2)/2
Let j(h) be the first derivative of -h**3/4 - 117*h**2/8 - 57*h/2 + 964. Factor j(s).
-3*(s + 1)*(s + 38)/4
Let f(k) be the second derivative of -k**7/210 + 8*k**6/75 - 3*k**5/10 - 12*k**4/5 + 117*k**3/10 - 513*k + 8. Determine x, given that f(x) = 0.
-3, 0, 3, 13
Suppose -4*z = -u + 4244, u - 2486 = 5*z + 2820. Let y = z + 1067. Determine c so that 0*c + 4/13*c**4 - 2/13*c**3 - 4/13*c**2 + 0 + 2/13*c**y = 0.
-2, -1, 0, 1
Suppose 35*l - 132*l = 0. Factor l*y**2 - 8/7*y**3 - 48/7*y**4 - 10*y**5 + 0*y + 0.
-2*y**3*(5*y + 2)*(7*y + 2)/7
Suppose 0 = -i, 0*f - 4*f - 4*i = -184. Factor 28*z + 2 - 21*z**2 - f*z + 1.
-3*(z + 1)*(7*z - 1)
Let 130/3*m**2 - 128/3*m - 776/9 - 2/9*m**3 = 0. What is m?
-1, 2, 194
Suppose 3*i - 6 = 0, 0 = -d - d + 5*i + 262. Suppose 3*l - 7*l - 62 = -2*t, -4*t + 2*l + d = 0. Factor t*m - 43*m**2 - 2 + 18*m**2 - 5 + 5*m**3 - 8.
5*(m - 3)*(m - 1)**2
Let q(h) = -h**2 - 13*h - 20. Let x be q(-11). Suppose -i + 2 = -x*n, 0 = -5*i + n + 11 + 8. Let 0 + 0*s - 2/7*s**3 + 0*s**2 - 6/7*s**i = 0. What is s?
-1/3, 0
Let f(w) be the third derivative of 2*w**2 + 12/5*w**4 - 42*w + 3/50*w**6 - 13/25*w**5 - 32/5*w**3 + 0 - 1/350*w**7. Factor f(b).
-3*(b - 4)**2*(b - 2)**2/5
Let c be -196 - -211 - 138/10. Let f(x) be the second 