6*s**4 + 0. Factor w(z).
4*(z - 2)*(z + 1)*(10*z - 3)
Let q = 72169 + -72167. Factor 2/9*a**5 - 22/9*a**4 + 230/9*a**q - 400/9*a - 1000/9 + 38/9*a**3.
2*(a - 5)**3*(a + 2)**2/9
Find q, given that 0 + 9680*q - 38808*q**2 - 1764/5*q**4 + 195361/5*q**3 + 4/5*q**5 = 0.
0, 1/2, 220
Let p(b) = 6*b**3 + 9*b**2 - b. Let w be (-63)/(-18)*16/14. Let l = -45 + 65. Let q(f) = -f**3 - f**2 + f. Let j(s) = l*q(s) + w*p(s). What is h in j(h) = 0?
-2, 0
Factor -285/7*p - 600/7 + 3/7*p**4 - 51/7*p**3 + 261/7*p**2.
3*(p - 8)*(p - 5)**2*(p + 1)/7
Suppose -2*r - 3*a = -9 - 18, -5*r - 2*a = -73. Factor 31*u - 9*u**3 - 2 - u**3 + r*u - 28*u**2 - 6.
-2*(u - 1)*(u + 4)*(5*u - 1)
Let l(y) be the third derivative of 4/3*y**6 - 5/336*y**8 + 0*y**3 + 0*y + 0*y**4 - 8*y**5 + 1/21*y**7 + 0 + 154*y**2. Factor l(w).
-5*w**2*(w - 4)**2*(w + 6)
Let x = 13696 - 13693. Let n(u) be the second derivative of -4/57*u**x + 5*u + 0 - 1/114*u**4 - 3/19*u**2. Factor n(d).
-2*(d + 1)*(d + 3)/19
Suppose 0 = 16*k + 20*k + 288. Let r(m) = -13*m**2 - 33*m - 28. Let h(a) = 5*a**2 + 11*a + 9. Let p(o) = k*h(o) - 3*r(o). Factor p(j).
-(j - 12)*(j + 1)
Suppose -8152722/7 - 2/7*z**2 - 8076/7*z = 0. What is z?
-2019
Determine b so that 6/11*b**2 + 90/11*b + 156/11 = 0.
-13, -2
Let j = -30 - -25. Let i be (-3)/j - (-34)/10. Factor 17*o**i + 3*o**4 + 25*o**3 + 2*o**2 + 3*o**2 + 0*o**2.
5*o**2*(o + 1)*(4*o + 1)
Solve -243*c - 33*c**3 - 2*c**4 + 23*c**4 - 159*c - 54 - 25 - 285*c**2 - 89 + 3*c**5 = 0.
-7, -2, -1, 4
Suppose 0 = j + 2*w - 14, -2*j + 7 + 16 = 3*w. Factor -29*z**4 - 625*z - 23*z**4 + 57*z**j + 25*z**3 + 375*z**2 - 100*z**3.
5*z*(z - 5)**3
Find g, given that -32/5*g**2 + 36*g - 4/5*g**3 - 144/5 = 0.
-12, 1, 3
Suppose -6*s - 7*s = -31*s. Let f(m) be the third derivative of -1/480*m**6 + s*m**4 - 16*m**2 + 0 + 1/120*m**5 + 0*m + 0*m**3. Factor f(o).
-o**2*(o - 2)/4
Determine i so that -50301440*i - i**2 + 2*i**2 + 50302524*i = 0.
-1084, 0
Suppose -3*x = -3, -37 = -4*h - 5*x - 0. Let q(u) be the first derivative of 5*u**2 + 5/3*u**3 - 15*u - h. Factor q(c).
5*(c - 1)*(c + 3)
Let j be ((-10544)/32950*(-5)/16)/(-1 + (-34)/(-30)). Let 3*q**2 - 1/4*q**5 + 1/2*q**3 - j*q**4 + 2*q + 0 = 0. Calculate q.
-2, -1, 0, 2
Let i be (6/(-15))/(17/85). Let p be i - 2 - 220/(-45). Factor -2/9*r**2 + p*r - 8/9.
-2*(r - 2)**2/9
Let l(v) = -48*v**3 + 141*v**2 + 27*v + 54. Let r(x) = 0 - 8 - 10*x**2 - x**2 - 4*x + 7*x**3 - 9*x**2. Let p(j) = 4*l(j) + 27*r(j). Factor p(u).
-3*u**2*(u - 8)
Let t = -32 + 14. Let x be 6/4 + t/(-4). Factor -10*s**3 + 15 - 20*s**2 - 4*s + x*s + 8*s + 5*s**4.
5*(s - 3)*(s - 1)*(s + 1)**2
Let c = -80 + 88. Let m be ((-6)/c)/((-2)/8). Suppose 5*l**m + 5*l**2 - 5*l**4 + 5522 - 5*l - 5522 = 0. Calculate l.
-1, 0, 1
Let u(z) = -8*z**2 - 2060*z + 1524. Let t(k) = 7*k**2 + 2004*k - 1523. Let c(a) = -4*t(a) - 5*u(a). Suppose c(n) = 0. Calculate n.
-191, 2/3
Let n(j) = j + 1. Suppose 5*z - 8 = -2*d + 5*d, -2*d = z - 12. Let x be n(z). Let 7*y**3 + x*y**3 - 17*y**3 - 5*y**4 + 7*y**2 + 3*y**2 = 0. Calculate y.
-2, 0, 1
Let h(x) be the third derivative of 1/2*x**4 - 1/90*x**6 + 0*x - 1/15*x**5 + 14*x**2 + 0 + 2*x**3. Let o(n) be the first derivative of h(n). Factor o(r).
-4*(r - 1)*(r + 3)
Suppose -10 = -8*a + 3*a. Let z = -46/17 + 155/51. Factor 5/6*j**a - z*j**3 - 1/3 - 1/6*j.
-(j - 2)*(j - 1)*(2*j + 1)/6
Let p(q) = -10*q**2 - 75*q - 40. Let x(g) = 2*g + 127792 - 127792. Let i(o) = p(o) - 5*x(o). Factor i(z).
-5*(z + 8)*(2*z + 1)
Factor 5*u**4 + 8*u**3 + 51960*u**2 - 1008*u**3 - 61147*u - 65815*u - 19111*u - 49927*u + 192080.
5*(u - 98)**2*(u - 2)**2
Suppose -2/3*d**2 - 142/3*d - 140/3 = 0. What is d?
-70, -1
Let z(a) be the first derivative of a**5/195 + 7*a**4/156 + a**3/13 + 5*a**2/2 - 6*a + 210. Let p(v) be the second derivative of z(v). What is x in p(x) = 0?
-3, -1/2
Suppose t = -109*j + 108*j, -5*t + 3 = 4*j. Determine i, given that 70 + t*i**2 + 4*i + 146*i + 214 - 137 = 0.
-49, -1
Let c = -129896/9 - -14434. Let n(u) be the third derivative of 0*u + 1/90*u**5 + c*u**3 + 7/36*u**4 + 0 - 17*u**2. Suppose n(w) = 0. What is w?
-5, -2
Let x(y) be the third derivative of y**7/315 - 131*y**6/180 + 43*y**5/10 - 385*y**4/36 + 128*y**3/9 - 931*y**2 + y. Factor x(u).
2*(u - 128)*(u - 1)**3/3
Suppose -1 + 2 = -m. Let g(l) = -2*l**2. Let a(b) = -4*b**2 - 102*b - 104. Let f(k) = m*a(k) + 3*g(k). Determine x, given that f(x) = 0.
-1, 52
Suppose 3*j - 139 + 20 = 4*l, j = 5. Let p = l - -35. Suppose -6*o**2 + 37*o**3 + 14*o**2 - p*o**3 - 61*o - 4*o**5 + 13*o - 32 = 0. What is o?
-2, -1, 2
Let u(k) be the second derivative of -5*k**7/21 - 107*k**6/6 + 195*k**5/2 - 635*k**4/3 + 710*k**3/3 - 285*k**2/2 + 9*k - 6. Let u(w) = 0. What is w?
-57, 1/2, 1
Let u(r) = r + 5. Let d be u(3). Let v = -6 + d. Suppose 4*n**v - n**3 - 7 - 2*n**2 + 7 - n = 0. What is n?
0, 1
Let j be 1/300*(214 - 212). Let b(y) be the third derivative of 1/900*y**6 + 0 + 1/60*y**4 + j*y**5 + 13*y**2 + 1/45*y**3 + 0*y. Suppose b(h) = 0. Calculate h.
-1
Let i(w) be the first derivative of 2*w**5/5 + 165*w**4 + 53786*w**3/3 - 54780*w**2 + 55112*w - 461. What is y in i(y) = 0?
-166, 1
Let b = 1459367/3 - 486449. Determine a, given that -b*a**2 + 2/3*a**3 + 20/3 - 2/3*a = 0.
-1, 1, 10
Let x be 5 + (0 + 4 - 5). Factor -95*l + 45*l + 178*l + 1024 + x*l**2.
4*(l + 16)**2
Solve 46/15*l**2 + 30 + 18*l + 2/15*l**3 = 0 for l.
-15, -5, -3
Let r = -31 + 156. Let h = 140 - r. Factor -3*z**3 - 48*z**2 + h*z + 0*z**3 - 6 + 3*z**4 + 39*z**2 + 0*z**3.
3*(z - 1)**3*(z + 2)
Suppose -7*b + 30 - 25 = -16. Let r(w) be the third derivative of 7/27*w**4 + 18*w**2 + 0*w - 4/27*w**b - 49/270*w**5 + 0. Factor r(n).
-2*(7*n - 2)**2/9
Let m(n) = 233*n**2 + 3928*n - 559. Let z be m(-17). What is a in 12/7*a**3 + 2/7*a**5 + 0*a - 9/7*a**z + 11/7*a**4 + 0 = 0?
-3, 0, 1/2
Let s = -38767 - -38772. Factor -1/4*f**2 + 19/4*f + s.
-(f - 20)*(f + 1)/4
Let j(a) be the third derivative of a**7/280 + a**6/160 - 3*a**5/80 - a**4/32 + a**3/4 + 9836*a**2. Factor j(h).
3*(h - 1)**2*(h + 1)*(h + 2)/4
Let t(g) be the first derivative of 12167*g**4/4 - 19044*g**3 + 44712*g**2 - 46656*g + 4260. Factor t(y).
(23*y - 36)**3
Let q(t) be the third derivative of -1/44*t**4 + 0*t + 1/33*t**3 + 0 + 1/110*t**5 - 1/660*t**6 - 43*t**2. Determine j so that q(j) = 0.
1
Suppose 20 - 12 = z. Let l be ((-12)/z)/(2/(-4)*3). Determine s so that -2 + 1 - 2*s - l + 1 - s**2 = 0.
-1
Let u = -93852 + 281558/3. Let -u*q**2 - 2 - 8/3*q = 0. Calculate q.
-3, -1
Let u(z) be the second derivative of 11/40*z**5 + 0*z**3 - 7/2*z**2 + 49*z + 0*z**4 + 0 - 1/80*z**6. Let c(j) be the first derivative of u(j). Factor c(w).
-3*w**2*(w - 11)/2
Let l = 68 - 53. What is y in -18*y**4 - 15*y**4 + l*y**2 + 13*y**4 - 115*y - 14 + 160*y**3 - 26 = 0?
-1/2, 1, 8
Suppose 4*w = 3*p + 17, 0 = 3*w - 0*w + 2*p. Suppose 3869 = 95*u + 139*u - 46*u + 1049. Determine j, given that -20/3*j**w + u - 175/3*j = 0.
-9, 1/4
Determine s, given that -604*s**2 - 4/3*s**4 - 212/3*s**3 - 4012/3*s - 2408/3 = 0.
-43, -7, -2, -1
Let c be (-26)/((-68)/8 + 8). Factor -6*l + 4*l**3 - c*l**2 + 31*l - 8*l + 31*l + 0*l.
4*l*(l - 12)*(l - 1)
Let f = -15542 - -15545. Let j(x) be the first derivative of -2/11*x**2 - 12 + 0*x - 2/33*x**f. Let j(s) = 0. What is s?
-2, 0
Let x(o) be the second derivative of o**4/78 + 172*o**3/13 - 517*o**2/13 + 6947*o. Solve x(w) = 0 for w.
-517, 1
Let l(c) be the second derivative of -c**4/15 - 2972*c**3/15 - 1104098*c**2/5 - 150*c. Determine f, given that l(f) = 0.
-743
Let v be (-6 - 5/(-1))*0/1. Let x(y) = -4*y**2 - 384*y - 1113. Let h be x(-93). Factor 2/15*q**h + 4/15*q + v + 2/5*q**2.
2*q*(q + 1)*(q + 2)/15
Let o(h) be the first derivative of -h**4 - h**3 + 54 + 1/5*h**5 + 8*h + 5*h**2. Solve o(u) = 0 for u.
-1, 2, 4
Let t(g) be the third derivative of -g**6/360 + g**5/60 + 9*g**4/8 + 77*g**3/18 + 4589*g**2. Determine u so that t(u) = 0.
-7, -1, 11
Suppose -15*o + 43 + 2 = 0. What is f in -80*f + 112 - 64 + 36*f**2 - 6*f**o + 2*f**3 = 0?
1, 2, 6
Let 24/5*i - 27/5*i**4 - 24/5*i**3 + 6*i**2 - 3/5 = 0. Calculate i.
-1, 1/9, 1
Let x = -17 + 19. Suppose -3*r + x*f = -16, r + r + 2*f = -6. What is a in -8*a + 4 + 12*a - r*a**3 - 4 + 2*a**2 = 0?
-1, 0, 2
Let -4*x**4 + 3729443*x**2 + 3738*x**3 - 1848020848*x - 11530*x**3 - 94214