 z be s(5). Let b(y) = -32*y**3 + 160*y**2 - 223*y + 80. Let g(h) = h**3 - h. Let q(v) = z*b(v) - 3*g(v). Factor q(j).
-5*(j - 2)**2*(7*j - 4)
Let y(o) be the first derivative of o**4/14 + 107*o**3/21 - 283*o**2/14 - 24*o - 342. Factor y(t).
(t - 3)*(t + 56)*(2*t + 1)/7
Let n(w) be the first derivative of -4/5*w**5 + 4*w**3 + 8*w + 20 + 10*w**2 - w**4. Factor n(v).
-4*(v - 2)*(v + 1)**3
Find s such that -8*s**4 - 1052/11*s**3 - 882/11*s - 168*s**2 + 0 - 2/11*s**5 = 0.
-21, -1, 0
Let u(c) be the first derivative of c**4/24 + 5*c**3/2 - 4*c**2 - 46*c/3 + 661. Factor u(x).
(x - 2)*(x + 1)*(x + 46)/6
Let k = -209299 - -209304. Find j, given that -20/3*j**3 + 0 - 1/9*j**k + 125/9*j - 14/9*j**4 - 50/9*j**2 = 0.
-5, 0, 1
Let z(h) = -4*h**3 + 28*h**2 + 66*h. Let p(m) = -3*m**3 + 27*m**2 + 63*m. Let j(k) = 6*p(k) - 5*z(k). Suppose j(y) = 0. Calculate y.
-8, -3, 0
Let s be 2/((-3)/2*(-4)/(-6)). Let a be (s + 14/4)/((-11)/(-22)). Determine v so that 9*v**a - 32*v + 12 + 3*v**3 + 4 + 2*v**2 + 2*v**2 = 0.
-2, 2/3, 1
Let p(c) be the second derivative of -7*c**5/20 - 139*c**4/12 - 40*c**3 - 54*c**2 - 1335*c. Factor p(q).
-(q + 1)*(q + 18)*(7*q + 6)
Factor 0*p + 1/5*p**5 + 9/5*p**2 + 11/5*p**4 + 19/5*p**3 + 0.
p**2*(p + 1)**2*(p + 9)/5
Let w(v) be the first derivative of -9*v**4/10 + 52*v**3/15 - 3*v**2 - 4*v/5 - 1478. Factor w(z).
-2*(z - 2)*(z - 1)*(9*z + 1)/5
Let p(l) be the first derivative of l**3 - 261*l**2 - 1056*l + 2664. Let p(w) = 0. Calculate w.
-2, 176
Let m(d) = -13*d + 60. Let i be m(4). Suppose -i*y = -113 + 73. Factor -y*h + 15/2 - 5/2*h**2.
-5*(h - 1)*(h + 3)/2
Suppose 6*h - 28 + 16 = 0. Find j such that 2*j**3 + 8 - 98*j**4 + 13*j**h + 20*j**3 + 54*j**2 + 23*j**2 - 56*j + 34*j**3 = 0.
-1, 2/7, 1
Let h(v) be the second derivative of -v**8/6160 + v**7/840 + v**6/990 - v**3/6 + v**2 - 12*v. Let k(o) be the second derivative of h(o). Factor k(i).
-i**2*(i - 4)*(3*i + 1)/11
Factor -12*p**4 + 2*p**4 + 5559*p**5 - 5554*p**5 - 2*p**3 + 7*p**3.
5*p**3*(p - 1)**2
Let h be (3601/39 - 2/6)*-3. Let j = h - -278. Factor -24/7*f + 4/7*f**j + 36/7.
4*(f - 3)**2/7
Let z(m) be the third derivative of -5*m**5/6 - 395*m**4/24 + 20*m**3/3 + 1738*m**2. Let z(d) = 0. Calculate d.
-8, 1/10
Let z = -719 + 719. Factor -2/5*t**5 + 0*t + 0*t**2 + z + 4/5*t**4 - 2/5*t**3.
-2*t**3*(t - 1)**2/5
Suppose -33*s - 18 = -38*s - 2*l, -l = 3*s - 10. Suppose -4*h - 77*h**5 - 2*h**s - 3 - 3*h + 6*h**3 + 78*h**5 + 5*h**4 = 0. What is h?
-3, -1, 1
Let y = 407870/7 + -58250. Determine a so that 144/7 + 2/7*a**3 + 4*a**2 + y*a = 0.
-6, -2
Let x = -3515465/13 + 270421. Determine i, given that -8*i**2 + 0 - 58/13*i**5 + 174/13*i**3 - 4/13*i**4 - x*i = 0.
-2, -2/29, 0, 1
Suppose 2*z + 2 = -b, -8 = -2*b + 4*z + 4. Factor 848*o - 3*o**2 + 5*o**b + 18 - 860*o.
2*(o - 3)**2
Let c(m) be the first derivative of m**5/390 - 19*m**4/156 + 6*m**3/13 + 42*m**2 - 84. Let f(s) be the second derivative of c(s). Let f(u) = 0. What is u?
1, 18
Factor 284*u - 528 + 502*u + 97*u**3 - 100*u**3 - 255*u**2.
-3*(u - 2)*(u - 1)*(u + 88)
Suppose 0 + 16*c**2 - 164724*c**3 - 2*c**2 + 164832*c**3 + 0 = 0. Calculate c.
-7/54, 0
Let o be (((-18)/18)/((-4)/(-1)))/(2/(-40)). Let j(h) be the first derivative of 3/4*h**4 + 21/2*h**2 - 9*h + 31 - o*h**3. Factor j(f).
3*(f - 3)*(f - 1)**2
Let i(s) be the second derivative of 18*s**2 + 1/6*s**4 - 1 - s - 3*s**3. Find j, given that i(j) = 0.
3, 6
Let o(s) be the first derivative of 5*s**3/3 - 135*s**2 + 247. Factor o(i).
5*i*(i - 54)
Let i be (4/(-8))/(198/48 + -4). Let n be 4/(-4) + 1 - (i - -2). Solve -64/9*q**n - 4/9*q**4 + 0 + 0*q - 32/9*q**3 = 0.
-4, 0
Let a(s) = 4*s**2 - 29*s - 294. Let r(t) = 5*t**2 + 5*t - 5. Let m(u) = u**2 + u - 1. Let q(p) = 11*m(p) - 2*r(p). Let i(v) = -a(v) + 5*q(v). Factor i(h).
(h + 17)**2
Let t = 398/3 + -1591/12. Let w(a) be the second derivative of 10*a + 0*a**2 - 1/6*a**3 + 0 - t*a**4. Solve w(x) = 0 for x.
-1, 0
Suppose -3 - 6 = -4*t + 3*t, -3*l + 117 = 3*t. Determine o, given that 0 - 6*o**2 + 38*o**4 - 10/3*o**3 - l*o**5 + 4/3*o = 0.
-2/5, 0, 1/3, 1
Let g(z) = 15*z**2 - 1091*z - 1110. Let x(f) = -4*f**2 - 4*f + 1. Let w(v) = -5*g(v) - 20*x(v). Suppose w(r) = 0. Calculate r.
-1106, -1
Let l(u) be the third derivative of u**6/60 - u**5/3 - u**4/12 + 10*u**3/3 + 2*u**2 + 618*u. Factor l(b).
2*(b - 10)*(b - 1)*(b + 1)
Let o(v) = v**4 - 151*v**3 + 1115*v**2 + 1339*v. Let c(p) = -150*p**3 + 1115*p**2 + 1355*p. Let d(h) = 4*c(h) - 5*o(h). Determine b so that d(b) = 0.
-1, 0, 15, 17
Let o = 31389717/43456 + 1/130368. Let a = o + -717. Let -148/3*q**3 - 180*q + a*q**4 + 36 + 156*q**2 = 0. Calculate q.
1/4, 3
Let k(g) be the third derivative of -g**8/448 - 9*g**7/28 - 66*g**6/5 - 242*g**5/5 + g**2 + 49*g. Suppose k(a) = 0. What is a?
-44, -2, 0
Let w(f) be the third derivative of f**6/120 - f**5/120 - f**4/12 + f**3/4 + 850*f**2. Let w(i) = 0. Calculate i.
-3/2, 1
Let v(z) = -80*z**3 - 76*z**2 + 409*z - 683. Let s(o) = 34*o**3 + 38*o**2 - 205*o + 343. Let i(j) = 7*s(j) + 3*v(j). Let i(p) = 0. Calculate p.
4, 11
Factor 2384*t**2 + 2 - 4*t**3 + 24033*t - 379249*t - 2.
-4*t*(t - 298)**2
Let p(l) be the second derivative of l**5/25 - 40*l**4/3 + 398*l**3/15 - 1781*l. Factor p(y).
4*y*(y - 199)*(y - 1)/5
Factor -88*j**2 + 7680*j - 484/5*j**3 + 28800.
-4*(j - 10)*(11*j + 60)**2/5
Let f(k) = 29*k**2 - 37*k - 348. Let d(u) = -24*u**2 + 37*u + 347. Let j(v) = -6*d(v) - 5*f(v). Determine o so that j(o) = 0.
-19, -18
Let r(j) be the second derivative of j**6/5 + 87*j**5/20 + 13*j**4/4 - 7*j**3 - 1523*j. Factor r(d).
3*d*(d + 1)*(d + 14)*(2*d - 1)
Let p(g) = -g**3 + 2*g**2 + 6*g - 420. Let a be p(0). Let z be ((-20)/(-48))/((a/(-8))/21). Find r such that 0 + z*r**3 - 4/3*r**2 + 8/3*r = 0.
0, 4
Let o(t) = 9*t**3 + 25*t**2 - 5*t - 10. Let l = 36 - 39. Let p(w) = 5*w**3 + 13*w**2 - 3*w - 6. Let u(y) = l*o(y) + 5*p(y). Factor u(h).
-2*h**2*(h + 5)
Suppose -u**2 + 27*u**4 + 37*u**2 - 6*u**4 - 25*u**3 + 9*u**2 - 39*u**3 - 2*u = 0. Calculate u.
0, 1/21, 1, 2
Solve 126/17 + 318/17*o - 2/17*o**5 + 260/17*o**2 + 4*o**3 - 2/17*o**4 = 0 for o.
-3, -1, 7
Let x be (-2 - -2)/((144/(-216))/(2/15)). Let i(s) be the second derivative of -90*s**2 - 5/12*s**4 + 10*s**3 + x + 9*s. Factor i(u).
-5*(u - 6)**2
Let n(g) be the first derivative of 16*g**5/45 + 113*g**4/9 + 16*g**3/9 - 904*g**2/9 - 448*g/9 + 1171. Let n(h) = 0. Calculate h.
-28, -2, -1/4, 2
Let z be (5/(-3))/(-2*(-7)/(-84)). Factor -40*c + 25*c**3 - 2*c - z*c**2 + 2*c - 5*c**4.
-5*c*(c - 4)*(c - 2)*(c + 1)
Let b(w) be the second derivative of -5*w**7/42 + w**6/2 + 55*w**5/4 - 5*w**4/4 - 45*w**3 + 7*w + 19. Find k, given that b(k) = 0.
-6, -1, 0, 1, 9
Let n(j) be the first derivative of 0*j - 148 + 40*j**2 - 5/3*j**3. Factor n(r).
-5*r*(r - 16)
Let r be (-3)/12 - (-26)/8 - (-13 + 3784/264). Find f, given that 1/6*f**2 + r + 11/6*f = 0.
-10, -1
Let c(k) be the third derivative of 0*k**4 + 1/75*k**5 - 1/840*k**8 + 0 + 0*k**7 + 1/100*k**6 + 0*k + 132*k**2 + 0*k**3. Factor c(g).
-2*g**2*(g - 2)*(g + 1)**2/5
Factor 5*a**2 - 1284226*a + 343 + 1284086*a + 392.
5*(a - 21)*(a - 7)
Let n(d) be the second derivative of -15*d + 1/140*d**5 + 1/7*d**3 + 0 - 3/56*d**4 - 13/2*d**2. Let s(f) be the first derivative of n(f). Factor s(q).
3*(q - 2)*(q - 1)/7
Let f(l) be the first derivative of -l**6/6 + 5*l**5 - 43*l**4/2 + 38*l**3/3 + 87*l**2/2 - 63*l - 105. Solve f(k) = 0.
-1, 1, 3, 21
Let j be 859/27*15 + (-4)/18. Suppose -10*m = -743 - j. Factor 285 - m + 5*g**2 - 2 + 100*g + 339.
5*(g + 10)**2
Let u(o) be the first derivative of -1/18*o**4 + 63 + 1/3*o**2 + 0*o - 4/27*o**3. Let u(s) = 0. Calculate s.
-3, 0, 1
Let d(p) be the first derivative of 5*p**4/4 - 505*p**3/3 + 5980*p**2 + 40560*p - 519. Factor d(g).
5*(g - 52)**2*(g + 3)
Suppose -365*z + 369*z = 37*u - 130, 5*u = z + 24. Suppose 4/5*f**u + 24 + 124/5*f = 0. What is f?
-30, -1
Let c be 4/((-12)/3)*1*-5. Let n(a) = -a**2 - a - 1. Let f(j) = 4*j**3 - 5*j**2 + 7*j + 9. Let m(d) = c*n(d) + f(d). Find s, given that m(s) = 0.
-1/2, 1, 2
Let j(n) = 3 + n**2 - n + 7*n**2 - 6*n**2. Let k be j(0). Factor 424*i**k - 212*i**3 + i**2 - i**4 - i**5 - 211*i**3.
-i**2*(i - 1)*(i + 1)**2
Let w(b) be the first derivative of 0*b**2 + 2/55*b**5 + 24 + 0*b + 1/22*b**4 - 4/33*b**3. Factor w(