*4. Factor o(a).
5*(a - 5)*(a - 1)*(a + 1)/3
Determine w, given that 1441/5 - 1/5*w**2 + 288*w = 0.
-1, 1441
Let x(u) be the third derivative of u**7/42 - u**6/2 - 27*u**5/2 - 225*u**4/2 - 945*u**3/2 + 966*u**2. What is t in x(t) = 0?
-3, 21
Solve -10531*g**4 + 10523*g**4 - 11*g**3 + 30*g**2 - 107*g**3 = 0.
-15, 0, 1/4
Let -767*f - 635*f + 160 - 338*f - 2985*f**3 - 427*f**4 - 28*f**4 + 245*f**2 + 4775*f**2 = 0. Calculate f.
-8, 2/13, 2/7, 1
Let y(b) = -b**3 + 5*b**2 - 2*b + 1. Let q be y(4). Factor -6*c - 6*c**2 + 39*c - 3*c**5 + 55*c**2 + q + 18*c**3 - 3*c**4 - 7*c**2.
-3*(c - 3)*(c + 1)**4
Let v(w) = 3*w**4 + 32*w**3 + w**2 - 38*w. Let t(d) = 19*d**4 + 191*d**3 + 7*d**2 - 230*d. Let j(x) = -2*t(x) + 13*v(x). Find i such that j(i) = 0.
-34, -1, 0, 1
Let j(t) = 425*t**2 - 6775*t - 14125. Let n(h) = -19*h**2 + 308*h + 642. Let s(d) = 2*j(d) + 45*n(d). Factor s(k).
-5*(k - 64)*(k + 2)
Factor 299*i - 5729*i - 1024 + 5049*i + 148*i**2 - 11953*i - 6602*i.
4*(i - 128)*(37*i + 2)
Factor 1952/3*w**2 + 0 - 1936/3*w + 4/3*w**4 - 500/3*w**3.
4*w*(w - 121)*(w - 2)**2/3
Let w = -19853 + 19864. Let t(n) be the first derivative of 1/18*n**3 + 1/24*n**4 + w + 1/2*n - 5/12*n**2. Factor t(g).
(g - 1)**2*(g + 3)/6
Let f be (-4 - -27) + 4920/(-216). Let x(n) be the first derivative of -1/27*n**3 - 4/9*n - 15 + f*n**2. Suppose x(s) = 0. Calculate s.
2
Let l(j) be the third derivative of -7/6*j**3 + 1/24*j**4 + 7/60*j**5 - 4 + 0*j - 1/120*j**6 + 2*j**2. Let l(a) = 0. What is a?
-1, 1, 7
Let u(m) be the second derivative of 4*m**6/3 - 217*m**5/10 - 35*m**4/6 + 22*m**3/3 - 112*m - 1. Solve u(l) = 0 for l.
-2/5, 0, 1/4, 11
Let l = -1/641349 + 1496482/641349. Suppose l*d**2 + 32/3 + 38*d = 0. Calculate d.
-16, -2/7
Suppose -38 = t - 20*t. Suppose -5*b + 4*q + 24 = 0, -6 = -t*b + 5*q - 7*q. Factor 1/6*h**b + 1/6*h + 1/2*h**3 + 1/2*h**2 + 0.
h*(h + 1)**3/6
Let p(m) = 30*m**4 + 552*m**3 + 20415*m**2 + 146058*m. Let g(w) = 7*w**4 + 138*w**3 + 5104*w**2 + 36514*w. Let n(k) = -21*g(k) + 5*p(k). Factor n(x).
3*x*(x - 72)*(x + 13)**2
Suppose 3*d - 8 = -5*y + 6*y, d - 4 = y. Determine s so that d*s**3 + 225*s - 800 + 125*s + 370*s + 78*s**2 = 0.
-20, 1
Suppose -5*b + 270 = 5*s, b - 16 = s - 68. Suppose -12 + s*z**2 + 64*z**2 + 12*z - 120*z**2 = 0. Calculate z.
2
Find a, given that -928/5*a - 1192/5*a**2 - 388/5*a**3 - 12/5*a**4 + 0 = 0.
-29, -2, -4/3, 0
Let m(r) = 9*r**2 + 47*r - 441. Let n(x) = x**2 - x + 3. Let p(h) = -m(h) + 5*n(h). Factor p(j).
-4*(j - 6)*(j + 19)
Determine g, given that 16/19*g**3 - 2/19*g**5 + 0 - 14/19*g + 12/19*g**2 - 12/19*g**4 = 0.
-7, -1, 0, 1
Let t(a) be the second derivative of 13*a**5/40 + 119*a**4/72 + 7*a**3/3 + a**2/3 + 2*a + 1802. Factor t(m).
(m + 1)*(m + 2)*(39*m + 2)/6
What is k in 4240*k**4 - 8550*k**4 + 5*k**5 + 4295*k**4 + 2*k**2 + 18*k**2 = 0?
-1, 0, 2
Let k be -3*1/(-9) + 1/(-3). Suppose -4*v - 6 = 5*y, y - v - 9 + 3 = k. What is l in 10*l**y - 6*l - 4*l - 5*l**2 + 5 = 0?
1
Let k be 1200/520 - 12/39. Let j = -38 - -39. Factor j - 4/5*g - 1/5*g**k.
-(g - 1)*(g + 5)/5
Determine t so that 131*t - t**2 - 5192 - 4*t**2 - 10127 + 619*t - 12806 = 0.
75
Let l(j) be the third derivative of -10 + 0*j**4 + 0*j**5 + 0*j + 0*j**3 + 2*j**2 + 1/3696*j**8 - 3/770*j**7 + 1/165*j**6. Factor l(r).
r**3*(r - 8)*(r - 1)/11
Let i(y) be the third derivative of 2*y**7/35 - 23*y**6/30 + 32*y**5/15 - 2*y**4 + 1620*y**2 - 2*y. Factor i(v).
4*v*(v - 6)*(v - 1)*(3*v - 2)
Suppose 21 = 3*f - 4*n, -115*n + 119*n = 5*f - 43. Let t be 2/f + (-1648)/352 + 6. What is i in -3/2 - t*i**4 + 3/4*i**5 + 3*i**2 - 3/2*i**3 + 3/4*i = 0?
-1, 1, 2
Factor 448 + 851 + f**2 - 1272 - 190*f + 1429.
(f - 182)*(f - 8)
Suppose 4*t - 5 = -t. Let b(z) = z - 1. Let k(j) = 26*j**2 + 26*j. Let q(a) = 4*b(a) - k(a). Let g(i) = i**2. Let u(p) = t*q(p) + 8*g(p). Factor u(r).
-2*(r + 1)*(9*r + 2)
Factor -1/3*w**5 - 1/3*w**4 + 0 + 0*w + 0*w**2 + 2*w**3.
-w**3*(w - 2)*(w + 3)/3
Let n be 5/(-25) - (31/(-5))/1. Suppose -6 = -3*f + n. Find j such that 2*j**2 + 8*j + f*j - 15*j**2 + 10*j**2 = 0.
0, 4
Let n(z) be the first derivative of z**4/8 + z**3 - 7*z**2/4 - 1214. Solve n(k) = 0 for k.
-7, 0, 1
Determine u, given that -5208*u**3 + 7807*u**4 - 21116*u**2 - 3072 - 7611*u**4 - 21986*u**2 + 8398*u**2 + 21088*u = 0.
-6, 2/7, 32
Let t(u) = u**2 + 13*u + 73. Let i be t(-7). Determine v so that -3*v + 18*v**2 - i*v**2 - 3*v**3 - v**3 = 0.
-3, -1/4, 0
Let d(u) = 4*u - 4. Let g be d(3). Factor g*f**4 + 15*f**3 + 27 + 2*f**5 - 17*f**3 - 27 - 8*f**2.
2*f**2*(f - 1)*(f + 1)*(f + 4)
Factor 2/5*x**3 + 72962/5 + 766/5*x**2 + 73726/5*x.
2*(x + 1)*(x + 191)**2/5
Let m(k) = -24*k**2 - 53067*k - 28934628. Let r(s) = -3*s**2 - 6632*s - 3616828. Let t(q) = -4*m(q) + 33*r(q). Factor t(j).
-3*(j + 1098)**2
Let v(i) be the second derivative of -i**6/180 - i**5/60 + i**4 - 6*i**3 - 4*i - 10. Let t(g) be the second derivative of v(g). Factor t(k).
-2*(k - 3)*(k + 4)
Suppose 4*x - 387 = -x - u, -3*u - 9 = 0. Suppose -x*y + 75 = -53*y. Find h, given that 13/3*h**2 + 16*h + 12 + 1/3*h**y = 0.
-6, -1
Let j be 12/8*-6*2/9. Let m be (j/(-3))/(15/(-27) - -1). Factor -3/4*n**2 + 0 + m*n.
-3*n*(n - 2)/4
Let m(u) be the first derivative of -1/7*u**4 - 2/7*u**2 + 0*u - 55 - 8/21*u**3. Factor m(o).
-4*o*(o + 1)**2/7
Suppose -9*u = -4*u - 5*n + 445, -4*u + 3*n - 359 = 0. Let f be ((-4)/(-6))/(u/9 + 12). Find o, given that 9/8*o**3 + 3/8*o**4 - 3/4 - 9/8*o + f*o**2 = 0.
-2, -1, 1
Factor 60/13*f - 2/13*f**2 - 112/13.
-2*(f - 28)*(f - 2)/13
Factor 72/5*s + 0 - 3/5*s**3 - 3*s**2.
-3*s*(s - 3)*(s + 8)/5
Find r, given that 61*r**4 + 892*r**2 + 475*r - 297*r**3 + 480 - 1045*r - 538*r - 29*r**4 - 2*r**5 + 3*r**5 = 0.
-40, 1, 2, 3
Let s(k) = -4*k - 11. Let y be s(-4). Suppose y*m = 7*m - 212. Determine q so that 54*q**2 + 57*q**2 - m*q**2 - 40 - 2*q + 12*q = 0.
-4, 2
Let h(y) be the third derivative of y**5/120 + 17*y**4/24 + 20*y**3 + 75*y**2 + 4. Factor h(k).
(k + 10)*(k + 24)/2
Factor 2/5*w**2 - 568/5*w + 0.
2*w*(w - 284)/5
Let k = 138/737 + 24/67. Let y(m) = -4*m**3 - 64*m**2 - 222*m - 8. Let r be y(-5). Factor 2/11*b**r + 4/11 + k*b.
2*(b + 1)*(b + 2)/11
Let w(m) be the second derivative of 9/25*m**5 + 2/75*m**6 + 23*m + 16/15*m**4 - 1/105*m**7 + 0 + 23/15*m**3 + 6/5*m**2. Let w(d) = 0. What is d?
-1, 6
Let t(k) be the second derivative of 132 + 2601/8*k**2 + 103/48*k**4 + 901/8*k**3 + k + 1/80*k**5. Let t(x) = 0. Calculate x.
-51, -1
Let j(i) = 5*i**4 + 55*i**3 - 61*i**2 - 79*i + 60. Let u(z) = z**2 - 6*z. Let a(d) = j(d) - 4*u(d). Factor a(r).
5*(r - 1)**2*(r + 1)*(r + 12)
Suppose -504 = -20*u + 6*u. Solve -15 + 28*z**5 - 48*z**3 - u*z**4 + 4 + 15 - 4 + 16*z**2 = 0.
-1, 0, 2/7, 2
Let t(d) be the first derivative of 1/5*d**4 + 0*d + 35 + 0*d**2 - 8/5*d**3. Let t(v) = 0. What is v?
0, 6
Let n(q) be the third derivative of -1/30*q**4 - 1/5*q**3 + 0*q + 0 - 1/450*q**5 - 65*q**2. Determine z, given that n(z) = 0.
-3
Let f(v) be the first derivative of -8/45*v**3 - 13/15*v**2 + 149 - 4/3*v. Suppose f(h) = 0. What is h?
-2, -5/4
Determine m so that 28 - 38*m + 126*m + 165*m**2 + 4*m**4 + 53084*m**3 - 69*m**2 - 53044*m**3 = 0.
-7, -1
Let s(f) be the first derivative of 2*f**3/51 - 1594*f**2/17 + 1270418*f/17 - 1685. Suppose s(x) = 0. What is x?
797
Let m(w) be the third derivative of -w**6/120 + 17*w**5/10 - 299*w**4/24 + 33*w**3 - 24*w**2. Suppose m(x) = 0. What is x?
1, 2, 99
Factor 978*q**2 - 637656*q + 138583904 - 1/2*q**3.
-(q - 652)**3/2
Let s = 122 + -77. Let q be ((-204)/s - -4)*(-55)/22. Find i, given that 14/3*i + 2/3*i**5 - 8/3 + q*i**2 + 4/3*i**4 - 16/3*i**3 = 0.
-4, -1, 1
Let k = -93355 - -1213625/13. Factor 0 - k*x**2 - 6/13*x.
-2*x*(5*x + 3)/13
Let p(j) be the first derivative of -60*j + 4*j**2 - 60 + 4/3*j**3. Solve p(r) = 0.
-5, 3
Let v(y) = -3*y**2 - 2*y + y**2 + y**2 + 2. Let i(h) = 17. Let m(c) = 118. Let l(x) = -7*i(x) + m(x). Let r(n) = -3*l(n) - v(n). Factor r(f).
(f + 1)**2
Let c(z) be the first derivative of 8/9*z**2 + 1/27*z**6 + 0*z + 14/27*z**3 - 1/2*z**4 + 27 - 14/45*z**5. Solve c(s) = 0.
-1, 0, 1, 8
Let n(z) be the second derivative of z**6/240 + 9*z**5/20 + 81*z**4/4 + 486*z**3 + 19*z**2/2 + z + 3. Let d(y) be the first derivative of n(y). Factor d(x).
(x + 18)**3/2
Let w(l) = -327*l + 5232. Let r be w(16). Let k