 - 14/13*z**4.
-2*z**3*(z + 1)*(9*z - 2)/13
Let w be -1 + 1 - -5 - (-630)/(-140). Factor s**2 + 1 + w*s**5 - 2*s**4 + 2*s**3 - 5/2*s.
(s - 2)*(s - 1)**3*(s + 1)/2
Suppose 1512*v = -271 + 3295. Let 0 - 1/2*l**5 - 8*l**3 - 4*l**4 + 0*l + 0*l**v = 0. Calculate l.
-4, 0
Let p(o) = -3*o**2 + 11*o + 9. Let i be p(-1). Let g be (3/27 + i/(-90))*2. Factor -n - g*n**2 - 2/3.
-(n + 1)*(n + 2)/3
Suppose 2*g + 8*r - 24 = 13*r, 5*g - 8*r - 42 = 0. Let -2/3*j**3 + 0*j + 0 + 6*j**g = 0. Calculate j.
0, 9
Let j be 9/(-648)*252/(-14). Factor 2*a + j*a**3 + 0 + 9/4*a**2.
a*(a + 1)*(a + 8)/4
Factor 0 + 1/5*q**3 - 233/5*q - 232/5*q**2.
q*(q - 233)*(q + 1)/5
Determine s so that -91/3*s - 63/2*s**2 - 20/3 - 3/2*s**3 = 0.
-20, -2/3, -1/3
Let k(x) be the second derivative of -x**8/42 + 3*x**7/70 + x**6/90 - 56*x**3/3 + 38*x - 3. Let v(z) be the second derivative of k(z). Solve v(b) = 0.
-1/10, 0, 1
Let r(u) be the second derivative of 1/60*u**5 + 1/6*u**4 - 1/2*u**3 - 7/3*u**2 - 126*u + 0. Factor r(j).
(j - 2)*(j + 1)*(j + 7)/3
Let v be (-2)/(-5) - -6*77/70. Let g(z) be the second derivative of 10/3*z**3 + 0 - v*z - 1/6*z**4 - 25*z**2. Factor g(b).
-2*(b - 5)**2
Let k(t) be the first derivative of 2*t**3/9 + 164*t**2/3 + 1280*t/3 + 2715. Factor k(f).
2*(f + 4)*(f + 160)/3
Suppose 5*j = 3*o + 7*j + 283, 0 = o + 2*j + 101. Let n = 183/2 + o. Find s, given that n*s**4 + 0 + s - 1/2*s**2 - s**3 = 0.
-1, 0, 1, 2
Suppose 0 = -u - 82 - 58. Let t = u - -143. Find i, given that -16/7*i**2 - 16/7*i + 0 - 4/7*i**t = 0.
-2, 0
Let -672*h**2 - 835*h + 208*h**4 + 24 - 189*h**3 + 879*h + 585*h**3 = 0. What is h?
-3, -2/13, 1/4, 1
Let r(y) = 2*y**3 + 25*y**2 + 12*y + 2. Let s be r(-12). Suppose -2 = -s*g + 2. Let -3*w**g - 4 + 2*w + 5*w**2 - 1 + 1 = 0. Calculate w.
-2, 1
Let q be 2*(1 - 0) - -19. Suppose 2*n = -5*n + q. Let 122 + 560*d + 123 + 43*d**n + 390*d**2 + 5*d**4 + 37*d**3 = 0. Calculate d.
-7, -1
Let z(n) be the second derivative of -n**4/18 - 86*n**3/9 + 176*n**2/3 + 712*n. Suppose z(k) = 0. What is k?
-88, 2
Factor -137/4*y + 0 - 1/4*y**3 + 69/2*y**2.
-y*(y - 137)*(y - 1)/4
Let l(u) be the second derivative of -u**6/10 + 93*u**5/5 + 125*u**4/4 - 5*u - 264. Solve l(o) = 0.
-1, 0, 125
Factor 104*p - 338/3 - 24*p**2.
-2*(6*p - 13)**2/3
Let a = 59/16 - 527/144. Let q(w) be the second derivative of 23*w + 1/6*w**3 + 1/3*w**2 + 0 + a*w**4. Factor q(d).
(d + 1)*(d + 2)/3
Let t(c) be the second derivative of -c**4/90 - 856*c**3/45 + 857*c**2/15 - 8177*c. Factor t(a).
-2*(a - 1)*(a + 857)/15
Let c(u) = 6*u**3 + 193*u**2 + 1535*u - 1734. Let t(p) = 15*p**3 + 483*p**2 + 3837*p - 4335. Let k(d) = 12*c(d) - 5*t(d). Factor k(a).
-3*(a - 1)*(a + 17)**2
Let j be 120/18*6/8 - -12. Suppose 2*v - 41 = -4*u - 35, 3*u = v + j. Determine x so that 4/3*x**u + 14/9*x**3 + 0 - 2/9*x**2 - 4/9*x = 0.
-1, -2/3, 0, 1/2
Let q(g) = 20*g**2 + 195*g - 215. Let o(l) = l**2 - l. Let z(u) = -25*o(u) + q(u). Factor z(j).
-5*(j - 43)*(j - 1)
Let p(z) be the third derivative of z**5/15 - 76*z**4 - 914*z**3/3 - 2*z**2 + 1562*z. Factor p(w).
4*(w - 457)*(w + 1)
Let 5/3*j**3 + 0*j + 0 + 0*j**2 - 2*j**4 = 0. Calculate j.
0, 5/6
What is j in -18240*j + 383/2*j**2 - 1/2*j**3 - 18432 = 0?
-1, 192
Determine b, given that 1476 + 5880*b**3 - 4*b**5 + 1460*b**4 - 17976*b**2 - 10279*b**2 + 37095*b**2 + 5900*b = 0.
-1, 369
Let k(m) be the third derivative of 0 + 1/240*m**6 + 8/3*m**3 + 3/4*m**4 - 139*m**2 + 0*m + 1/10*m**5. Factor k(y).
(y + 2)**2*(y + 8)/2
Factor 5387*f**2 + 542198*f**3 + 12*f + 614725*f**3 + 2065*f**2.
3*f*(621*f + 2)**2
Let v = -3/2288 - -45811/38896. Let p = v - -2/85. Let -9/5 + 6/5*o + 12/5*o**2 - 3/5*o**4 - p*o**3 = 0. Calculate o.
-3, -1, 1
Let r be -2 - 140/(-75) - 7*(-992)/3255. Find o such that -1/4*o**r - 2 + 3/2*o = 0.
2, 4
Let v(m) = 6*m**2 - 20*m - 32. Let u be v(-4). Let k be u/(-16) - (-170)/18. Factor -k*n**2 - 2/9*n**3 + 8/9*n + 16/9.
-2*(n - 2)*(n + 2)**2/9
Let i = 4562752/7 + -650227. Determine j, given that i + 3/7*j**2 - 366/7*j = 0.
61
Let s = -2865 + 2865. Let k(u) be the first derivative of 0*u - 1/4*u**2 + 1/4*u**3 + 9 - 1/20*u**5 + s*u**4. Let k(x) = 0. What is x?
-2, 0, 1
Suppose -5*h = -3*g + 30, -3*g + 5 = 2*h - 4. Factor -266 + 4*j**2 - j - 2*j**4 - 2*j**3 + 2*j + 264 + j**g.
(j - 2)*(j - 1)**2*(j + 1)**2
What is i in 2/9*i**4 - 28/9*i**3 + 0 + 58/9*i**2 + 88/9*i = 0?
-1, 0, 4, 11
Suppose -3*d - 3*i = 15, 8*i - 60 = -2*d + 13*i. What is y in 0*y**4 + 4/3*y**2 - 3*y**3 + 0 + 4*y + 1/3*y**d = 0?
-3, -1, 0, 2
Let w(x) be the third derivative of -x**6/90 - 11*x**5/120 - x**4/4 - 11*x**3/6 - 12*x**2. Let q(i) be the first derivative of w(i). Factor q(o).
-(o + 2)*(4*o + 3)
Let m(c) be the third derivative of c**8/1512 + 4*c**7/15 + 147*c**6/5 - 728*c**2. Factor m(z).
2*z**3*(z + 126)**2/9
Let n(s) be the second derivative of -1/36*s**4 + 5/18*s**3 - 100*s - 2/3*s**2 + 0. Factor n(l).
-(l - 4)*(l - 1)/3
Let o(n) = -7*n**2 + 637*n + 51182. Let i(p) = 3*p**2 + p + 6. Let g(u) = -3*i(u) - o(u). Solve g(c) = 0.
-160
Suppose 28567 = 11*b + 28567. Let s(w) be the second derivative of 5/12*w**4 + b*w**2 - w**5 + 0*w**3 - 5*w + 0. Factor s(u).
-5*u**2*(4*u - 1)
Determine k, given that -58/7 - 64/21*k - 2/21*k**2 = 0.
-29, -3
Factor -4*i**3 - 5700344*i + 1640689628 - 2257076*i + 8916*i**2 + 1332832*i.
-4*(i - 743)**3
Determine j, given that -43/2*j**4 + 0*j - 175/4*j**3 + 0 - 22*j**2 + 1/4*j**5 = 0.
-1, 0, 88
Let j(g) be the second derivative of -7*g**6/30 - 213*g**5/16 - 1691*g**4/8 - 361*g**3/24 + 3*g + 496. Factor j(b).
-b*(b + 19)**2*(28*b + 1)/4
Suppose 0*m + 4*m - 52 = -3*k, 3*m - 5*k - 10 = 0. Suppose -4*g - 3*w + 24 = 0, 2*w - m = -2*g + w. Factor -g + 3/2*j + 3/2*j**2.
3*(j - 1)*(j + 2)/2
Let -12/17*n + 4/17*n**3 + 0 - 10/17*n**2 + 2/17*n**4 = 0. Calculate n.
-3, -1, 0, 2
Let q = -2221437/5 - -442838. Let v = q - -1450. Factor 9/5 - v*w**2 - 6/5*w.
-3*(w - 1)*(w + 3)/5
Let a(w) be the first derivative of -404*w**3/9 + 1210*w**2/9 + 8*w/9 - 9732. Factor a(c).
-4*(c - 2)*(303*c + 1)/9
Let n(s) be the first derivative of 0*s - 7/5*s**2 - 2/15*s**3 - 37. Suppose n(j) = 0. Calculate j.
-7, 0
Factor 28 - 8*f + 857*f**2 + 23*f - 858*f**2 - 42.
-(f - 14)*(f - 1)
Let r(c) be the third derivative of -1/10*c**6 - 1/12*c**4 + 26*c**2 + 0*c**3 + 0*c - 1/168*c**8 + 0 - 4/105*c**7 - 2/15*c**5. Factor r(o).
-2*o*(o + 1)**4
Let n = -49 - -54. Suppose -3*v - n*x + 26 = 0, 5*v - 3*x + 18 = 8*v. Determine b so that 6*b**2 + 6*b**3 - v*b**3 - 30*b**3 - 2*b**2 + 22*b**4 = 0.
0, 2/11, 1
Let y(t) = -53 - 22*t**2 - 3*t + 57*t + 13*t. Let p(x) = 5*x - 1752 + 1734 - 2*x - 7*x**2 + 19*x. Let z(v) = 7*p(v) - 2*y(v). Factor z(n).
-5*(n - 2)**2
Suppose -810566*x + x**2 + 810474*x + 0*x**2 = 0. Calculate x.
0, 92
Let v(c) be the first derivative of -c**3/15 + 256*c**2/5 - 65536*c/5 - 1091. Solve v(w) = 0 for w.
256
Let o = -195077 + 195080. Factor -6*x + 24/5 - 69/5*x**2 - 3*x**o.
-3*(x + 1)*(x + 4)*(5*x - 2)/5
Let c(y) be the third derivative of y**8/294 - 62*y**7/735 + 41*y**6/70 - 134*y**5/105 + 20*y**4/21 - 101*y**2 + y. Determine t, given that c(t) = 0.
0, 1/2, 1, 4, 10
Let a be 30/12*((-924)/(-35))/33. Factor 2/17*o + 4/17 - 2/17*o**a.
-2*(o - 2)*(o + 1)/17
Let w(b) be the second derivative of b**5/20 + b**4/12 - 68*b. Let x(v) = 2*v**3 - 3*v**2 - 7*v - 2. Let l(k) = -20*w(k) + 5*x(k). Factor l(m).
-5*(m + 1)*(m + 2)*(2*m + 1)
Let z be 182/(-28) - (3 + -10 - 2). Suppose -z*w**3 + 1/2*w - 1/2 + 3/2*w**2 + w**4 = 0. Calculate w.
-1/2, 1
Let b(s) be the first derivative of -68/7*s**2 - 2312/7*s - 2/21*s**3 + 71. Suppose b(l) = 0. What is l?
-34
Let j(i) be the second derivative of -i**7/840 - i**6/15 + 17*i**5/40 - 11*i**4/6 - i**2/2 - 2*i - 6. Let l(y) be the third derivative of j(y). Factor l(w).
-3*(w - 1)*(w + 17)
Let r = 46071 - 46069. Factor -56/11*z - 392/11 - 2/11*z**r.
-2*(z + 14)**2/11
Let i(t) be the second derivative of t**4/96 - t**3/2 - 145*t**2/16 - 978*t. Factor i(b).
(b - 29)*(b + 5)/8
Factor 1976 + 366*y + 16421 + 5*y**2 - 2550 + 20278 + 484*y.
5*(y + 85)**2
Solve 0*w**2 - 5/4*w**5 + 125/4*w**4 + 1080*w + 0 - 405/2*w**3 = 0.
-2, 0, 3, 12
Let m = -58487 + 172910/3. Let o = 851 + m. Determine z, given that 2*z**4 + 2/3*z**3 - 2*z**2 + o*z**5 - 4/3*z + 0 = 0.
-2, -1, 0, 1
Let i be 10/4 - (-