 232. Factor q(a).
(a + 1)**2*(a + 18)
Factor -33*y - 42*y**2 + 3148*y**3 + 2*y**4 + 11*y - 3166*y**3.
2*y*(y - 11)*(y + 1)**2
Solve 26*p**2 + 7788*p**4 + 30*p - 7783*p**4 - 61*p**2 = 0.
-3, 0, 1, 2
Let b(j) be the first derivative of -j**8/3360 - j**7/840 + j**6/720 + j**5/120 + j**3 - 11. Let u(x) be the third derivative of b(x). Factor u(l).
-l*(l - 1)*(l + 1)*(l + 2)/2
Suppose -8 = -2*f - 2*h, 0 = -f - 3*h + 4*h + 6. Factor -2*r**2 + f*r - r + 12 - 4*r - 2*r.
-2*(r - 2)*(r + 3)
Let n(z) be the first derivative of -2 - 5*z**5 + 5/4*z**4 + 5/3*z**3 + 0*z + 0*z**2 + 5/2*z**6. Let n(a) = 0. Calculate a.
-1/3, 0, 1
Let v(r) be the first derivative of -2*r**3/69 + 13*r**2/23 + 28*r/23 + 983. Suppose v(b) = 0. Calculate b.
-1, 14
Suppose -2*s + 0 + 4 = 0. Factor d**5 + 0*d**s + 5*d - 5*d**3 + 9*d**2 + d**2 + 1 + 5*d**4 + 15*d**3.
(d + 1)**5
Solve -27 - 3/2*u**2 + 33/2*u = 0 for u.
2, 9
Suppose -3*r + 5*b - 16 = 0, 29*r - 34*r = 12*b - 75. Factor -6/7*m - 144/7*m**r - 54/7*m**2 - 96/7*m**4 + 0.
-6*m*(m + 1)*(4*m + 1)**2/7
Let v be ((-2)/(-5)*-3)/(306/(-510)). Factor 32/5 + 24/5*a**v + 48/5*a + 4/5*a**3.
4*(a + 2)**3/5
Let m(w) = 2*w**2 - 8. Let g be m(-4). Suppose 0 = q + r, -4*q + 0 = -2*r - g. Factor q*y**3 + 2*y**4 + 6*y**2 - y - y - 10*y**3.
2*y*(y - 1)**3
Let o(a) be the second derivative of -1/8*a**3 - 1/12*a**4 + 1/80*a**5 + 0 - 34*a + 9/4*a**2. Factor o(n).
(n - 3)**2*(n + 2)/4
Let p(z) be the first derivative of 11*z**6/8 - 93*z**5/20 - 117*z**4/16 + 71*z**3/4 + 30*z**2 + 9*z + 50. What is v in p(v) = 0?
-1, -2/11, 2, 3
Let g = 24/1369 + -1675776/6845. Let f = 245 + g. Factor f*y + 0 - 1/5*y**2.
-y*(y - 1)/5
Let y(n) be the first derivative of -2*n**5/5 - 9*n**4/2 - 18*n**3 - 31*n**2 - 24*n + 146. Determine m, given that y(m) = 0.
-4, -3, -1
Let a(m) = 12*m + 16. Let u be a(-1). Suppose u = -s + 2*x, 0 = -s + x - 1. Factor 0 - 1/4*c**s + 0*c.
-c**2/4
Let j(l) = l**3 + 13*l**2 - 6*l + 116. Let h be j(-14). Factor -4/5*o**3 + 1/5*o**h + 6/5*o**2 + 1/5 - 4/5*o.
(o - 1)**4/5
Suppose j = 4 - 2. Factor 2*m**j - 12*m - 3*m**2 + 7*m + 6*m.
-m*(m - 1)
Determine d, given that 4/5*d - 2/5*d**2 + 6/5 = 0.
-1, 3
Let h(v) = 424*v**3 + 1956*v**2 - 996*v + 120. Let b(i) = -141*i**3 - 652*i**2 + 332*i - 40. Let f(a) = -8*b(a) - 3*h(a). Determine t, given that f(t) = 0.
-5, 2/9, 1/4
Determine p so that 2/3*p + 5/2*p**2 + 0 + 11/6*p**3 = 0.
-1, -4/11, 0
Let a be (-3150)/(-735) - 4/14. Let w(q) be the first derivative of -6*q**3 + 0*q + 3/4*q**a - 5 + 27/2*q**2. Factor w(n).
3*n*(n - 3)**2
Let m(y) be the third derivative of 0 + 26*y**2 - 1/2*y**3 - 1/12*y**4 + 1/60*y**5 + 0*y. Solve m(p) = 0.
-1, 3
Let b = -3 + 7. Let f be ((-6)/b)/3*-8. Solve -5 - w + 4 + 4*w**3 - 7*w**5 + 12*w**4 + 3 - 14*w**2 + f*w = 0 for w.
-1, -2/7, 1
Suppose -5*j + 48 = 11*j. Let c(v) be the first derivative of 1/3*v**j + 16*v - 8 + 4*v**2. Solve c(f) = 0.
-4
Let r(q) = 14*q**4 + 122*q**3 + 488*q**2 + 448*q + 8. Let i(s) = -9*s**4 - 82*s**3 - 325*s**2 - 299*s - 5. Let l(w) = 8*i(w) + 5*r(w). Solve l(f) = 0 for f.
-19, -2, 0
Let k(q) be the first derivative of 11 + 1/2*q**3 + 0*q + 1/8*q**4 - q**2. Determine r so that k(r) = 0.
-4, 0, 1
Suppose -5*v = -5 - 10. Factor -4*t**3 + 6*t**2 + 3*t**3 - 8 - t**v.
-2*(t - 2)**2*(t + 1)
Let h(z) be the second derivative of 3*z**5/4 - 7*z**4 + 13*z**3/2 + 15*z**2 - 7*z. Factor h(m).
3*(m - 5)*(m - 1)*(5*m + 2)
Let r(x) be the first derivative of 1/9*x**6 + 2/3*x**4 + 13 + 4/9*x**3 - 8/15*x**5 + 4/3*x - 5/3*x**2. Factor r(o).
2*(o - 2)*(o - 1)**3*(o + 1)/3
Let a = 497/3 - 165. Let v(y) be the second derivative of 1/3*y**4 + 0 - 11*y + a*y**3 + 0*y**2. Solve v(q) = 0.
-1, 0
Suppose -4*q**2 - 547 - 152*q - 971 + 74 = 0. Calculate q.
-19
Let j = -2370 - -2372. Determine l so that -4/3*l**j - 2/3*l**3 + 0*l + 0 + 2/3*l**4 = 0.
-1, 0, 2
Let l(y) = y - 3. Let a be l(5). Suppose -s = -a*s. Factor -11*q**3 - 12 + s + 0*q**2 + 14*q**3 + 9*q**2.
3*(q - 1)*(q + 2)**2
Let v = 13289 - 13286. Factor -50/3*g - 35/6*g**2 - 10 + 5/3*g**v + 5/6*g**4.
5*(g - 3)*(g + 1)*(g + 2)**2/6
Let m(p) be the first derivative of -p**4/4 + 7*p**3/3 + 4*p - 4. Let o be m(7). Let -3*a**5 - 20 - o*a**2 + 2*a**4 + 4*a**3 + a**5 - 2*a + 22 = 0. Calculate a.
-1, 1
Let l = -850 + 14445/17. Let h = l - -83/51. Solve 2/3*b**5 + 0*b + 0*b**4 - 2*b**3 - h*b**2 + 0 = 0 for b.
-1, 0, 2
Solve -63368 + 2*b**2 - 373*b - 51*b + 198*b - 4*b**2 - 486*b = 0 for b.
-178
Let g = 8722 - 8718. Determine v so that -1/4*v**3 + 0*v**2 + 0*v + 0 + 1/8*v**g = 0.
0, 2
Let l(m) be the first derivative of m**6/45 + 2*m**5/25 - 8*m**3/45 - 604. Factor l(h).
2*h**2*(h - 1)*(h + 2)**2/15
Let p(k) be the third derivative of -k**7/11340 + k**6/1080 + k**4/24 - 7*k**2. Let t(c) be the second derivative of p(c). Find a such that t(a) = 0.
0, 3
Suppose 421 - 421 = -4*n. Let j(u) be the first derivative of -3*u**4 + n*u**2 - 12/5*u**5 + 11 + 0*u - 2/3*u**6 - 4/3*u**3. Factor j(w).
-4*w**2*(w + 1)**3
Let q(m) be the third derivative of m**8/84 - 8*m**7/105 - m**6/15 + 4*m**5/5 + 3*m**4/2 + m**2 + 4*m. Find o, given that q(o) = 0.
-1, 0, 3
Let f(b) be the third derivative of 0*b**3 - 11*b**2 + 0 - 1/30*b**5 + 1/6*b**4 + 0*b - 1/60*b**6. Factor f(k).
-2*k*(k - 1)*(k + 2)
Let w = -4 - 3. Let m = -4 - w. Determine r, given that 48*r**3 - m*r**5 - 47*r**3 + 2*r**5 = 0.
-1, 0, 1
Let f be -5*(-253)/110 + 1. Factor -25/2*t**3 + 5 + f*t - 5*t**2.
-5*(t - 1)*(t + 1)*(5*t + 2)/2
Let f(d) = 7*d**4 + 54*d**3 + 95*d**2 + 5*d + 15. Let z(r) = -r**4 + r**2 - r - 3. Let p(t) = -f(t) - 5*z(t). Let p(m) = 0. Calculate m.
-25, -2, 0
Let u(p) be the third derivative of -8/27*p**3 - 5/27*p**4 - 5/108*p**5 + 6*p**2 - 1 + 0*p. Factor u(w).
-(5*w + 4)**2/9
Let q(g) be the second derivative of -g**5/20 + g**4/6 - g**3/6 + 2*g**2 - 12*g. Let b be q(2). Solve 0 + 2/7*h + 2/7*h**3 - 4/7*h**b = 0 for h.
0, 1
Let a = 138 - 295/2. Let n = -9 - a. Factor 0*x - n*x**2 + 1/2.
-(x - 1)*(x + 1)/2
Suppose -6*h - 5 = -17. Factor 13*q**3 - q**3 + 23*q**4 + q**2 - 26*q**4 + 6*q - 16*q**h.
-3*q*(q - 2)*(q - 1)**2
Let o(n) = 2*n**3 - 2*n**2 - 7*n + 2. Suppose 2 = -0*u + u. Let f = 3 + u. Let w(c) = c. Let y(t) = f*w(t) + o(t). Solve y(l) = 0 for l.
-1, 1
Let a(y) be the third derivative of -1/525*y**7 + 1/150*y**5 + 0*y + 17*y**2 + 0*y**4 + 0*y**3 - 1/300*y**6 + 1/840*y**8 + 0. Factor a(v).
2*v**2*(v - 1)**2*(v + 1)/5
Let v(b) be the second derivative of b**6/15 - 2*b**5/5 + b**4/3 + 4*b**3/3 - 3*b**2 - 49*b. Determine f, given that v(f) = 0.
-1, 1, 3
Let w(i) be the second derivative of -i**4/3 + 160*i**3/3 - 3200*i**2 - 818*i. Factor w(l).
-4*(l - 40)**2
Let d(s) be the third derivative of 0*s + 16*s**2 + 0*s**4 + 0*s**3 - 1/660*s**6 - 1/165*s**5 + 0. Find t such that d(t) = 0.
-2, 0
Suppose 6*g - 59 - 25 = 0. Factor 5*z**3 + 11*z**3 + 2*z**4 - g*z**2 + 4*z - 8*z**4.
-2*z*(z - 1)**2*(3*z - 2)
Let x(f) be the second derivative of -1/42*f**4 - 1/21*f**3 + 0 + 1/70*f**5 + 2*f + 1/7*f**2. Solve x(j) = 0.
-1, 1
Let l(f) be the third derivative of -f**6/600 + 7*f**4/120 + f**3/5 - 10*f**2 + f. Solve l(h) = 0 for h.
-2, -1, 3
Let s = 944/13 - 23602/325. Let x = s + 392/325. Determine c so that x*c + 2/5*c**2 + 0 = 0.
-3, 0
Suppose 0 = -n + g - 1, -8*n - 14*g + 16 = -16*g. Find z such that 0 + 1/5*z**n + 0*z**2 + 1/5*z**4 + 0*z = 0.
-1, 0
Let o be ((-120)/(-150))/(-3*(-8)/(-180)) + 10. Factor 121/5*t**o - 198/5*t**3 + 4/5 + 37/5*t**2 + 36/5*t.
(t - 1)**2*(11*t + 2)**2/5
Solve 29132 + 16*o + 24*o**3 + 36*o**2 - 29132 + 4*o**4 = 0.
-4, -1, 0
Find y, given that 3/7*y - 3/7*y**3 + 0 + 0*y**2 = 0.
-1, 0, 1
Let w be 0/((4/(-1 + 5))/(-1)). Let s be 2 + (244/(-110) - 4/(-10)). Determine z, given that w - s*z**2 - 2/11*z = 0.
-1, 0
Suppose 5*j = 5*g - 35, -3*g + 5*j + 10 = -21. Factor -34*i**g - 3*i**5 + 58*i**2 - 24*i**3 - 15*i**4 - 36*i**2.
-3*i**2*(i + 1)*(i + 2)**2
Let l(u) be the second derivative of -u**6/40 + 27*u**5/20 - 97*u**4/4 + 144*u**3 - 384*u**2 + 358*u. Solve l(m) = 0 for m.
2, 16
Let b be -2 + 0 - 45/(-27)*(-48)/(-20). Factor 1/8*j**b - 1/4*j + 0.
j*(j - 2)/8
Let p be (-4)/(-18) + (-711)/(-81). Suppose d = 4*d - p. Factor 26*z**d - 21*z**3 - 39*z**2 - 3*z**4 - 12 + 36*z + 13*z**3.
-3*(z - 2)**2*(z - 1)**2
Factor 0 - 39/5*w + 1/5*w**3 - 2*w**2.
w*(w - 13)*