**w. Factor t(s).
3*s*(s - 1)**3
Let m(k) = -4*k**2 - 33*k + 105. Let b be 19 - ((-22)/18 - (-14)/63). Let r(w) = 28*w**2 + 228*w - 736. Let v(i) = b*m(i) + 3*r(i). Factor v(x).
4*(x - 3)*(x + 9)
Let j(z) be the third derivative of z**5/72 - 505*z**4/24 - 3035*z**3/36 - 4131*z**2. Factor j(n).
5*(n - 607)*(n + 1)/6
Suppose -5*j + 3*f + 3 = 0, j + 3*f = -3*j + 24. Suppose -j*o + 24 = 5*o. Factor -2*m**3 + 1 + 12*m**2 - 6*m + 0*m**o - 16*m + 11.
-2*(m - 3)*(m - 2)*(m - 1)
Suppose -3*h = -8*h - 10, 34 = 5*x - 2*h. Let z be (x/(-5))/((-8)/90). Factor -3/2*g**4 - z*g**2 - 15/2*g**3 - 3 - 21/2*g.
-3*(g + 1)**3*(g + 2)/2
Let s(r) be the first derivative of 6*r**4 - 28*r - 12*r**2 - 4/5*r**5 + 32/3*r**3 - 2. Determine g, given that s(g) = 0.
-1, 1, 7
Let c(d) = -d**3 + 80*d**2 + 76*d + 409. Let n be c(81). What is b in -4/5*b**2 - 8/5*b**3 + 0 + 6/5*b + 2/5*b**5 + 4/5*b**n = 0?
-3, -1, 0, 1
Factor -116*a**5 + 34*a**3 + 42*a**4 + 57*a**5 + 4*a**3 + 79*a**3 - 162*a**2 + 62*a**5.
3*a**2*(a - 1)*(a + 6)*(a + 9)
Let v(a) be the third derivative of 19/480*a**6 + 188*a**2 - 7/240*a**5 + 0 - 3/16*a**4 + 0*a**3 + 0*a - 1/1344*a**8 + 1/120*a**7. Let v(h) = 0. Calculate h.
-2, -1, 0, 1, 9
Let j(l) = -3 - 3*l - l**2 + l - 4*l - 2. Let p be j(-2). Let 54*i**p + 8 + 4*i - 30*i**3 - 8*i**2 - 28*i**3 = 0. What is i?
-2, -1, 1
Suppose -3*a - 4 = 4*d, 2*d = -4*a + 2 - 14. Let b be (0 - 0)*(-2)/(-2)*((-3915)/(-108) - 36). Suppose b + w + 15/2*w**3 - 17/2*w**d = 0. Calculate w.
0, 2/15, 1
Let l = 3186 - 184749/58. Let t = l + -1/174. Determine c so that 0 - t*c**3 + 10/3*c**2 - 8/3*c = 0.
0, 1, 4
Let o = 185859/54215 - -3/7745. Find c such that -12/7*c**2 - o - 76/7*c = 0.
-6, -1/3
Solve 28*i**2 + 11*i**2 + 61 - 11*i - 189*i + 144 - 44*i**2 = 0 for i.
-41, 1
Let f(t) be the first derivative of -t**4/12 - 5*t**3/2 - 7*t**2 + 26*t - 22. Let q(z) be the first derivative of f(z). Solve q(j) = 0.
-14, -1
Let z be (16*(-225)/4320)/(-1 + (-3)/(-4)). Solve 1/6*l**5 + 0*l**4 + z*l**2 + 2/3 - 5/2*l - 5/3*l**3 = 0 for l.
-4, 1
Suppose -334 = -41*k - 129. Let l(c) = 4*c**3 - c**2 + 2*c - 1. Let s be l(1). Factor 27*m**3 + 13*m**s + 0*m**4 + k*m**4 + 3*m**5.
3*m**3*(m + 3)**2
Let t(y) = -705*y + 112804. Let l be t(160). Factor 0 - 8/3*v**3 - 5/3*v**2 + 14/3*v - 1/3*v**l.
-v*(v - 1)*(v + 2)*(v + 7)/3
Let y be (-2048)/(-3072) - ((-22)/3 - -1). Let z(h) be the first derivative of 0*h**2 + 0*h - y + 0*h**3 + 0*h**5 + 1/26*h**4 - 1/39*h**6. Factor z(u).
-2*u**3*(u - 1)*(u + 1)/13
Factor 1188 + 2283 + 400*c - 891 + c**2 - 6*c**2.
-5*(c - 86)*(c + 6)
Factor -1/4*q**2 - 409/2*q - 408.
-(q + 2)*(q + 816)/4
Let g = -1702563 - -5107811/3. Suppose -g*v**2 + 4/3*v**3 + 20*v + 0 = 0. Calculate v.
0, 1/2, 30
Let b = -178/19 + 1322/133. Let o(l) = l**3 - 2*l**2 - 3*l + 3. Let x be o(0). Factor -2/7*k**5 - 2/7*k + 0 + 0*k**2 + b*k**x + 0*k**4.
-2*k*(k - 1)**2*(k + 1)**2/7
Let g(z) be the first derivative of -z**4/28 - 10*z**3/7 - 144*z**2/7 - 128*z + 3256. What is b in g(b) = 0?
-14, -8
Let c(j) be the third derivative of -49/540*j**6 + 13/27*j**4 + 0*j + 7/27*j**5 + 2 + j**2 + 8/27*j**3. Factor c(n).
-2*(n - 2)*(7*n + 2)**2/9
Factor 81*l**2 + 0 + 3/7*l**4 + 90/7*l**3 + 0*l.
3*l**2*(l + 9)*(l + 21)/7
Let q(g) be the third derivative of -g**8/84 + 4*g**7/21 - 5*g**6/6 + 6*g**4 + 44*g**2 - 30*g. Suppose q(u) = 0. Calculate u.
-1, 0, 2, 3, 6
Let z be ((-75)/30)/(35/(-30)) + 9/6*2. Determine j so that -12/7*j - 3/7*j**2 + z = 0.
-6, 2
Let z(n) = n**3 + 11*n**2 + 12*n + 22. Let j be z(-10). Factor -36*a**5 + 64*a**4 + 376*a**j - 767*a**2 - a**3 + 383*a**2 - 19*a**3.
-4*a**2*(a - 1)**2*(9*a + 2)
Let p be (1/6*3)/(2/124). Suppose 0 = -8*a + p + 9. Factor a + 4*z - 5*z**2 - 4*z + 0*z**2.
-5*(z - 1)*(z + 1)
Let n = -947 + 1577. Factor -166*r - n*r**2 - 62*r**3 + 24*r + 27*r - 128*r - 38*r**3 - 27 + 1000*r**4.
(r - 1)*(10*r + 3)**3
Factor 576/7 + 240/7*t + 1/7*t**4 - 10/7*t**3 - 23/7*t**2.
(t - 8)**2*(t + 3)**2/7
Factor -658/3 + 2/3*l**2 - 80/3*l.
2*(l - 47)*(l + 7)/3
Let i = -530 + 544. Let w be (-1 + (-33)/(-15))/(i/7). Factor 1/5*k**4 - w*k**3 + 0 - 2/5*k - k**2 + 1/5*k**5.
k*(k - 2)*(k + 1)**3/5
Let k = 2624 - 2624. Let g(s) be the second derivative of 0*s**2 + k*s**4 + 0 + 0*s**5 - 24*s + 0*s**3 + 1/6*s**6. Factor g(j).
5*j**4
Let u(b) be the first derivative of 3/7*b**4 - 8/7*b - 6/7*b**2 + 4/35*b**5 + 45 + 4/21*b**3. Factor u(j).
4*(j - 1)*(j + 1)**2*(j + 2)/7
Suppose -5*d + 5/6*d**2 - 45/2 = 0. What is d?
-3, 9
Let i = -132 - -183. Factor 4*d**2 + 78*d - i*d + 29*d + 38 + 94.
4*(d + 3)*(d + 11)
Let i = -995225 + 6966577/7. Factor i*k**3 - 30/7*k**2 + 76/7*k - 48/7.
2*(k - 12)*(k - 2)*(k - 1)/7
Suppose -185*a - 84 = -206*a. Let p(m) be the second derivative of 12/5*m**5 - 15/2*m**3 + 6*m**a + 14*m + 0 + 3*m**2. Factor p(n).
3*(n + 2)*(4*n - 1)**2
Let -1155*u**2 + 334084 + 60501*u + 857*u + u**3 + 271570*u + 0*u**3 = 0. Calculate u.
-1, 578
Suppose -a + 5 = -60*o + 61*o, 3*a = 8*o - 40. Suppose -28/23*u + a - 26/23*u**2 + 2/23*u**3 = 0. What is u?
-1, 0, 14
Let y = 4008/4340251 + 243172463321/111479346935. Let t = y + -1/2335. Solve -t*g + 2*g**3 - 16/11 + 4/11*g**2 + 12/11*g**4 + 2/11*g**5 = 0.
-2, -1, 1
Suppose 5*d - 4615 = 10520. Determine m so that 30*m**4 + d*m**2 + 18*m**3 - 6 - 1524*m**2 - 1527*m**2 + 9*m**5 - 27*m = 0.
-2, -1, -1/3, 1
Find l such that 207/4*l - 411/8 - 3/8*l**2 = 0.
1, 137
Let 696*k**2 - 5026*k**5 - 1863*k**5 + 1409*k - 1425*k + 14442*k**4 - 8233*k**3 = 0. What is k?
0, 4/83, 1
Let q(k) = 4*k**3 - 8*k**2 - 7*k + 5. Let l be q(3). Let 34 - 15*n + l + 728*n**2 - 731*n**2 - 6*n = 0. Calculate n.
-9, 2
Let y(m) = 73 - 31 + 32*m + 3. Let c be y(7). Solve -c*f**2 - 6*f**3 + f**3 + 259*f**2 - 5*f = 0 for f.
-1, 0
Let i(j) = -12*j**2 + 3*j. Let w(v) = v**3 + v**2 + 2*v - 1. Suppose 5 - 2 = 3*r. Let u(y) = r*i(y) + 3*w(y). Factor u(d).
3*(d - 1)**3
Let f(b) = -b**2 + b - 1. Let z(t) = -4*t**2 + 4*t - 5. Let v(y) = 2*f(y) - z(y). Let s be v(2). Factor 28*q + q**2 + 24 - 3*q**2 - 13*q + s*q.
-2*(q - 12)*(q + 1)
Let b(v) = -106*v**2 + 10142*v + 20232. Let z(w) = -34*w**2 + 3380*w + 6743. Let l(g) = 9*b(g) - 28*z(g). Suppose l(u) = 0. Calculate u.
-1679, -2
Let b(o) be the second derivative of -3*o**5/20 + 41*o**4/4 + 18*o + 10. Find a such that b(a) = 0.
0, 41
Let q(j) be the third derivative of j**9/37800 - j**8/8400 - j**4/12 - 3*j**3 - 303*j**2. Let d(x) be the second derivative of q(x). Factor d(m).
2*m**3*(m - 2)/5
Let v(r) be the first derivative of -r**4/34 + 584*r**3/51 + 587*r**2/17 + 588*r/17 + 55. Factor v(n).
-2*(n - 294)*(n + 1)**2/17
Let z be (-4)/((-8)/(-6)) - (8 + 1). Let r be -29*12/(-22) + z/(-66). Let -4*w**4 + 22*w**3 - 3*w**2 - r*w**3 + w**4 = 0. What is w?
0, 1
Factor 4/5*f**2 - 4*f + 4/5*f**3 + 12/5.
4*(f - 1)**2*(f + 3)/5
Let y be -3 - ((-18 - -6) + 7). Factor -6*c - 2307 - 893 - 7*c**y - 154*c + 5*c**2.
-2*(c + 40)**2
Let d(u) = 176*u**4 + 2856*u**3 + 1594*u**2 + 214*u + 10. Let x(k) = -178*k**4 - 2856*k**3 - 1593*k**2 - 215*k - 9. Let j(n) = 9*d(n) + 10*x(n). Factor j(y).
-4*y*(y + 14)*(7*y + 2)**2
Let z(v) be the third derivative of v**7/105 + 8*v**6/15 - 17*v**5/15 - 8*v**4/3 + 11*v**3 - 787*v**2. Factor z(k).
2*(k - 1)**2*(k + 1)*(k + 33)
Let c = -17 - -50. Let g = 35 - c. Solve -65*x**g + 1569 - 55*x - 3*x**3 - 17*x**3 - 1579 = 0 for x.
-2, -1, -1/4
Let o(s) be the third derivative of 2*s + 13*s**2 - 1/40*s**6 + 1/8*s**4 - 1/3*s**3 + 0 + 1/210*s**7 + 1/60*s**5. Factor o(b).
(b - 2)*(b - 1)**2*(b + 1)
Let z = 603069/4 - 150767. Factor 1/4*u**4 + 0*u**2 - z*u**5 + 1/2*u**3 + 0*u + 0.
-u**3*(u - 2)*(u + 1)/4
Let t(i) = 8*i**2 - 2544*i - 2555. Let g(w) = -70*w**2 + 22898*w + 22994. Let f(h) = 6*g(h) + 52*t(h). Factor f(y).
-4*(y - 1276)*(y + 1)
Let a(h) be the second derivative of -h**9/9072 + h**8/4032 + h**7/756 + 25*h**4/4 + 39*h. Let c(f) be the third derivative of a(f). Let c(n) = 0. What is n?
-1, 0, 2
Find q, given that -2/23*q**4 - 84/23*q**3 - 158/23*q**2 + 160/23 + 84/23*q = 0.
-40, -2, -1, 1
Let p(k) be the first derivative of k**6/3 + k**5/5 + 11*k - 74. Let m(l) be the first derivative of p(l). Factor m(j).
2*j**3*(5*j + 2)
Let t be 6 + 12*(-64)/288. Factor 37/3*k - 7/3*k**2 - t.
-(k - 5)*(7*k - 2)/3
Suppose -4*o + 538 = 530. Suppose 5 - 9 = -o*h. 