6 - 5*u - 2 - 9/40*u**5 - 5/24*u**3 + 1/3*u**4 + 0*u**2. Factor t(k).
-k*(k - 5)*(k - 1)**3/4
Let w(c) be the third derivative of -3*c**7/14 + 7*c**6/2 - 205*c**5/12 + 125*c**4/4 + 27*c**2 + 4. Factor w(i).
-5*i*(i - 6)*(3*i - 5)**2
Suppose -6/7*h**5 + 0 + 380/7*h**4 - 380/7*h**2 - 256/7*h + 262/7*h**3 = 0. Calculate h.
-1, -2/3, 0, 1, 64
Let z(k) be the first derivative of -k**5/35 - 57*k**4/28 - 136*k**3/7 + 6358*k**2/7 + 10959. Factor z(f).
-f*(f - 11)*(f + 34)**2/7
Factor -177/2*b + 15/8*b**3 - 117/2 + 1161/8*b**2.
3*(b - 1)*(b + 78)*(5*b + 2)/8
Suppose -3*b = 2*b - 55. Suppose 0 = -r - u + 3, -6*r + b = -r + u. Find y, given that -2*y - y**2 - 3*y**3 - 25*y + 19*y**r + 0*y**3 = 0.
0, 3
Let c(l) be the third derivative of -l**7/42 - 17*l**6/6 + 35*l**5/2 - 265*l**4/6 + 355*l**3/6 + 1116*l**2. Factor c(n).
-5*(n - 1)**3*(n + 71)
Let k(u) be the second derivative of u**7/252 - u**6/18 - 3*u**5/10 + 79*u**4/36 - 173*u**3/36 + 5*u**2 - 689*u. Factor k(f).
(f - 12)*(f - 1)**3*(f + 5)/6
Let i(q) be the first derivative of q**4/4 - 10*q**3 - 234*q**2 - 1512*q + 5704. Factor i(v).
(v - 42)*(v + 6)**2
Let t(j) = j**3 - 8*j**2 - 12*j + 8. Let g be t(10). Let k = g + -85. What is d in 12*d**k + 75*d - 15*d**2 + 4 - 72*d - 4 = 0?
0, 1/4, 1
Suppose -22 = -8978*h + 8967*h. Suppose 0 + 68/15*q**3 + 0*q - 578/15*q**h - 2/15*q**4 = 0. What is q?
0, 17
Factor 64 - 140*h + 136 - 52*h**2 - 4*h**3 - 4.
-4*(h - 1)*(h + 7)**2
Let u(m) be the first derivative of -1/12*m**2 + 0*m + 1/24*m**4 - 120 + 1/18*m**3 - 1/30*m**5. Factor u(t).
-t*(t - 1)**2*(t + 1)/6
Let l(o) be the third derivative of o**6/40 + 4*o**5 - 1432*o**2. Factor l(a).
3*a**2*(a + 80)
Let 31/6*v**3 + 215/6*v**2 - 4 + 179/3*v = 0. Calculate v.
-4, -3, 2/31
Let u(v) = 18*v**4 + 59*v**3 - 396*v**2 - 802*v - 498. Let o(m) = m**4 + m**3 - 2*m**2 + 2*m - 3. Let s(x) = -19*o(x) + u(x). Let s(t) = 0. Calculate t.
-1, 21
Let g = -6496 + 6501. Let n(y) be the second derivative of 0*y**2 + 0*y**3 + 3/20*y**g + 0 + 1/28*y**7 + 0*y**4 + 3/20*y**6 + 21*y. Factor n(f).
3*f**3*(f + 1)*(f + 2)/2
Factor 6845/2 - 4625/2*a - 1020*a**2 - 90*a**3.
-5*(a - 1)*(6*a + 37)**2/2
Let v(d) = 2*d**3 - 332*d**2 + 13440*d + 28244. Let s(a) = 3*a**3 - 498*a**2 + 20160*a + 42364. Let n(z) = -5*s(z) + 7*v(z). Determine m, given that n(m) = 0.
-2, 84
Let q = 337 - 3032/9. Let t = 23/36 + q. Factor -3/4*m**3 + 0 + t*m**4 + 0*m + 0*m**2.
3*m**3*(m - 1)/4
Let b = -370/3363 - -497/1121. Factor 2 - 7/3*w + b*w**2.
(w - 6)*(w - 1)/3
Let a be 14/(-3)*150/(-7). Factor -4 + 4*x - 207*x**2 + a*x**2 + 106*x**2.
-(x - 2)**2
Let j(o) be the first derivative of -80 + 0*o + 64*o**2 + 2/3*o**3. Suppose j(f) = 0. Calculate f.
-64, 0
Let l(x) be the second derivative of -x**4/3 + 268*x**3/3 + 544*x**2 - 23*x - 15. Let l(o) = 0. Calculate o.
-2, 136
Let t(i) be the second derivative of 1/231*i**7 - 5/22*i**4 + i + 0*i**2 - 10 + 0*i**3 - 29/110*i**5 - 13/165*i**6. Factor t(s).
2*s**2*(s - 15)*(s + 1)**2/11
Let u(y) be the first derivative of 1/9*y**4 + 20*y + 4*y**2 - 20 + 14/9*y**3. Let l(x) be the first derivative of u(x). Let l(a) = 0. What is a?
-6, -1
Factor 516 - p**2 + 349 + 69*p + 210*p - 19.
-(p - 282)*(p + 3)
Let o = -60 + 62. Factor 390 - 390 + 24*d - 3*d**3 - 20*d**2 - d**o.
-3*d*(d - 1)*(d + 8)
Suppose 822 = -15*n + 867. Let t(g) be the first derivative of -5/6*g**4 - 5/18*g**6 - 5/3*g - 10/9*g**n + g**5 + 5/2*g**2 + 6. Determine v so that t(v) = 0.
-1, 1
Let s(u) be the first derivative of -2*u**6/17 - 182*u**5/85 - 349*u**4/34 - 52*u**3/51 + 112*u**2/17 - 1091. Solve s(b) = 0.
-8, -7, -2/3, 0, 1/2
Suppose 971*z - 1210 = 366*z. Determine t, given that 32/9*t - 10/3*t**3 - z*t**4 + 0 + 16/9*t**2 = 0.
-4/3, 0, 1
Let n = 549 - 541. Let a be (-7 - -2 - 1) + n. Factor a*d + 32/9*d**2 + 2/9*d**5 + 4/9 + 4/3*d**4 + 28/9*d**3.
2*(d + 1)**4*(d + 2)/9
Let b(q) be the second derivative of -q**4/12 + 2*q**3/3 + 17*q**2 - 41*q. Let c be b(-4). Factor 24*w**2 - 47*w**c - 5*w + 18*w**2.
-5*w*(w + 1)
Let g(x) = -140*x + 4. Let h be g(5). Let d = 699 + h. Factor -4/3*j**2 - 5/3*j + 0 + 1/3*j**d.
j*(j - 5)*(j + 1)/3
Let h(a) be the first derivative of -15*a**4/4 + 22*a**3 + 78*a**2 - 72*a - 103. Factor h(k).
-3*(k - 6)*(k + 2)*(5*k - 2)
Let s(b) = -29*b**2 + 5105*b - 172. Let o be s(176). Factor 2/9*w**o + 16/9*w - 2/3*w**2 - 8/9 - 4/9*w**3.
2*(w - 2)*(w - 1)**2*(w + 2)/9
Let s(y) be the first derivative of -2*y**3/15 - 138*y**2 - 5764. Determine h, given that s(h) = 0.
-690, 0
Factor -1782/5 + 1206/5*p - 42*p**2 + 2/5*p**3.
2*(p - 99)*(p - 3)**2/5
Suppose -5 = -q + 4*a - 11, 3*a = 5*q - 4. Find r, given that -8 - 49*r**2 - 3*r**q - 52*r - 62*r**3 + 102*r**3 = 0.
-1/2, -1/5, 2
Let g = 1/49759 + 199033/149277. Factor -2/3*y**4 + g*y + 2/3 + 0*y**2 - 4/3*y**3.
-2*(y - 1)*(y + 1)**3/3
Suppose -2*j = -5*s + 6, -4*j + 4 = 3*s - 10. Suppose -2*l + 10 = 4. Determine t, given that -s - t**l + t**2 - t**2 + t - t**4 + 3*t**2 = 0.
-2, -1, 1
Let a(d) = -d**2 - 1246*d - 78225. Let t(f) = f**2 + f - 25. Let y(x) = -a(x) + 4*t(x). Suppose y(k) = 0. Calculate k.
-125
Let g(c) = 11*c**3 + 173*c**2 - 637*c - 7. Let l(z) = -3*z**3 - 58*z**2 + 214*z + 2. Let x(f) = -10*g(f) - 35*l(f). Find n, given that x(n) = 0.
0, 4, 56
Suppose -o + 5*o - 24 = 0. Suppose -d + 16 = 3*s + o, 0 = d + 2. Factor -3*v**s + 2*v**2 + 8*v**5 - 24*v + 5*v**2 - 4*v**2 - 11*v**5 + 12 + 15*v**3.
-3*(v - 1)**3*(v + 2)**2
Find h such that 18/7*h - 6/7*h**2 - 2/7*h**3 - 10/7 = 0.
-5, 1
Let m = -7 - -9. Suppose 0*q - q + m = 0. Let r**4 - 2*r**4 + 0*r**2 - q*r + 3*r**2 = 0. Calculate r.
-2, 0, 1
Suppose -59*q = 36*q. Let f(b) be the third derivative of 1/20*b**5 + q*b**3 + 19*b**2 + 0*b + 0 + 1/8*b**4. Factor f(z).
3*z*(z + 1)
Let i(r) = -2*r + 58. Let h be i(18). Suppose a = 3*n + h, a + a = -4*n + 74. Factor a*x**3 + 27*x**4 + 38*x**2 + 27*x**2 + 31*x**3 + 4 - 6*x**4 + 28*x.
(x + 1)**2*(3*x + 2)*(7*x + 2)
Solve 1087208 + 3750*i + 46980*i**2 - 46977*i**2 + 84667 = 0.
-625
Find i, given that 21 + 11/2*i**3 - 1/2*i**4 + 1/2*i - 29/2*i**2 = 0.
-1, 2, 3, 7
Let k(o) be the first derivative of -2*o**4/9 + 4*o**3/3 + 4*o**2 - 1861. Factor k(g).
-4*g*(g - 6)*(2*g + 3)/9
Determine s, given that -2/7*s**4 + 10/7*s**3 - 40/7*s + 0*s**2 + 32/7 = 0.
-2, 1, 2, 4
Let g be 10/(1/((-24)/140)) + 2 + 0. Solve g*q**2 - 110/7 - 12/7*q = 0 for q.
-5, 11
Let t(s) = 86 + 7 - s**2 - 45 + 108 + 0*s - 11*s. Let d be t(-19). Determine h so that 0 - 14/3*h**5 + 0*h + 32/3*h**3 - 10/3*h**d - 8/3*h**2 = 0.
-2, 0, 2/7, 1
Suppose 0 = -10*n + 55 - 5. Factor -21*g**3 + g**4 - 13 + 37 + 54*g + 21*g**2 - 10*g**4 + 3*g**n.
3*(g - 4)*(g - 2)*(g + 1)**3
Let n(o) be the first derivative of 0*o + o**3 + 252 + 1/2*o**2 - o**4. Factor n(g).
-g*(g - 1)*(4*g + 1)
Let m be (-8)/20 - 4/(-5). Suppose 5*w + k = 19, 15 = 18*w - 3*k - 27. Solve -f**w - 1/5*f + m - 8/5*f**2 = 0.
-1, 2/5
Let u(t) be the first derivative of -t**7/70 + t**6/50 + 3*t**5/25 - t**4/5 + 61*t + 86. Let w(p) be the first derivative of u(p). Solve w(x) = 0.
-2, 0, 1, 2
Suppose 22/7*o**2 + 0 + 188/7*o = 0. What is o?
-94/11, 0
Let q = 15735 - 110133/7. Let r(n) be the first derivative of 34 + q*n + 5/7*n**2 + 2/21*n**3. Find u such that r(u) = 0.
-3, -2
Let 0*d - 32/3*d**3 + 2/3*d**4 + 0 + 0*d**2 = 0. What is d?
0, 16
Let f(z) be the second derivative of -z**5/180 - 199*z**4/27 + 407*z - 4. Suppose f(x) = 0. Calculate x.
-796, 0
Solve 144/5 + 9*w - 1/5*w**2 = 0 for w.
-3, 48
Let q(v) = 5*v**3 + 305*v**2 - 510*v + 75. Let m(f) = f**2 + 7*f - 3. Let h(p) = 25*m(p) + q(p). Suppose h(r) = 0. Calculate r.
-67, 0, 1
Let n(b) = b**2 + 2*b - 5. Let h(w) = -w**3 - 6*w**2 - 4*w + 1. Let g be h(-5). Let l be n(g). Factor -2*c**3 - 3 + 0*c**l + 5*c**3 + 4*c**2 - 3*c - c**2.
3*(c - 1)*(c + 1)**2
Let x(t) be the third derivative of -t**5/30 - 333*t**4 - 1330668*t**3 + 3228*t**2 + 2*t - 2. Determine l, given that x(l) = 0.
-1998
Let c(r) be the first derivative of r**4/2 + 50*r**3/3 - 26*r**2 - 1197. Determine s so that c(s) = 0.
-26, 0, 1
Let t(s) be the first derivative of 2*s**3/51 + 131*s**2/17 + 1500*s/17 - 7775. Factor t(p).
2*(p + 6)*(p + 125)/17
Factor -159*n + 45 + 177*n**2 - 41*n**2 + 34*n**4 + 3*n**4 - 4*n**4 + 74*n**2 - 3*n**5 - 126*n**3.
-3*(n - 5)*(n - 3)*(n - 1)**3
Factor -126*a 