be the third derivative of -z**7/1050 - 23*z**6/600 - 8*z**5/25 - 9*z**4/10 - 925*z**2 - 7*z. Factor i(g).
-g*(g + 2)*(g + 3)*(g + 18)/5
Find a, given that -56/5*a - 16*a**2 + 0 + 2/5*a**4 - 22/5*a**3 = 0.
-2, -1, 0, 14
Suppose 4 = -12*n + 52. Determine k so that 40*k + 2*k**5 + 2*k**2 - k**3 - 13*k**3 - 2*k**n - 4*k**3 + 24 = 0.
-2, -1, 2, 3
Let -816*w + 22196 - 810*w**2 + 814*w**2 + 19420 = 0. Calculate w.
102
Suppose -15*l = -17*l - 30*l. Let r = 18/77 + 4/77. What is o in l*o + r - 2/7*o**2 = 0?
-1, 1
Let k = 44871 + -44869. Solve -39*v + 3/2*v**k - 81/2 = 0 for v.
-1, 27
Let t(z) be the second derivative of z**6/285 - 23*z**5/95 + 709*z**4/114 - 1380*z**3/19 + 8100*z**2/19 + 478*z - 3. Find x, given that t(x) = 0.
5, 18
Suppose -3*i + 44 = 8*i. Let n be (-22)/3*6/i*-1. Factor -2*q - n*q**2 + q + 10*q**2.
-q*(q + 1)
Let s(j) be the third derivative of -1/896*j**8 + 0*j**5 + 0*j**7 + 0 - 160*j**2 + 0*j**3 - 2*j + 1/320*j**6 + 0*j**4. Find q such that s(q) = 0.
-1, 0, 1
Let l = -4 + 6. Let a(c) = -c**2 + 7*c - 2. Let y(m) = -m**2 + 13*m - 5. Let j = 529 + -534. Let p(b) = j*a(b) + l*y(b). Factor p(d).
3*d*(d - 3)
Let t(n) be the second derivative of -1/39*n**3 - 1/39*n**4 + 1/273*n**7 + 31 + 0*n**5 + n + 0*n**2 + 2/195*n**6. Let t(j) = 0. Calculate j.
-1, 0, 1
Let z(k) be the first derivative of -2*k**3/3 + 51*k**2 + 212*k - 2859. Let z(i) = 0. Calculate i.
-2, 53
Let o(m) = 16*m + 282. Let d be o(-12). Let q be ((-48)/(-8))/(100/d). Factor 0 + q*u - 3/5*u**2.
-3*u*(u - 9)/5
Let a(d) = 14*d**2 + 141*d + 12. Let z(y) = 5*y**2 - 20*y + 5. Let k be z(3). Let j be a(k). Factor 4/7 - 2/7*v**j + 2/7*v.
-2*(v - 2)*(v + 1)/7
Let h = 583 - 520. Determine d so that 65*d + 0*d**4 + h*d**3 + 5*d**5 + 27*d**3 + 22 + 35*d**4 + 110*d**2 - 7 = 0.
-3, -1
Let j(w) be the second derivative of -w**5/160 + 31*w**4/48 - 28*w**3/3 + 54*w**2 + 30*w - 15. Determine u so that j(u) = 0.
4, 54
Suppose -745 = -36*t - 745. Let k(b) be the third derivative of -1/78*b**4 + 1/390*b**5 + 0 + t*b + 10*b**2 + 1/39*b**3. Factor k(c).
2*(c - 1)**2/13
Let u = 10774/61 - 4373657/24705. Let h = -1/81 - u. Find i such that -4/5 + 2/5*i**2 - 6/5*i + h*i**4 + 6/5*i**3 = 0.
-2, -1, 1
Let a(b) be the first derivative of -b**6/2 + 9*b**5/5 + 21*b**4/4 - 11*b**3 - 9*b**2 + 24*b + 4288. Suppose a(d) = 0. Calculate d.
-2, -1, 1, 4
Suppose -5*c + 3*q = -39, 3*c + 30586 - 30636 = -2*q. Solve 147/4 + c*y**3 + 3/4*y**4 + 84*y + 117/2*y**2 = 0.
-7, -1
Let u(z) be the first derivative of -z**5/15 + z**4/2 + 4*z**3 - 9*z**2 - 81*z - 1971. Determine j, given that u(j) = 0.
-3, 3, 9
Let h(c) be the first derivative of -c**4/2 + 20*c**3 + 288*c**2 + 1216*c - 692. Solve h(u) = 0.
-4, 38
Let l be ((-45)/51)/(((-75)/250)/(78/65)). Let -l + 2/17*d**2 - 14/17*d = 0. What is d?
-3, 10
Let o be (-120681)/(-345) - (14/2 - 10). Factor -1/5*b**2 - 84/5*b - o.
-(b + 42)**2/5
Solve 27/7*w**2 - 1/7*w**4 - 26/7 + 11/7*w - 11/7*w**3 = 0.
-13, -1, 1, 2
Let t be 1978/42 - -13*(-20)/2730. Factor -154*f - t - 1 - 21*f**3 + 36*f**2 + 3*f**4 + 166*f.
3*(f - 4)*(f - 2)**2*(f + 1)
Let t = -46 - -32. Let h = 18 + t. Find v such that 3*v**2 - h + 3*v + 3 - 5 = 0.
-2, 1
Let l(q) be the second derivative of q**5/55 + 521*q**4/132 + 8515*q**3/33 + 4225*q**2/22 + 15*q + 5. Suppose l(i) = 0. What is i?
-65, -1/4
Let i be (9 - 24)*(110/(-15) + 6). Suppose 47*g - 57*g = -i. Solve 2/3*h**4 + 48*h**g - 28/3*h**3 + 256/3 - 320/3*h = 0 for h.
2, 4
Let w = -247 + 252. Let f = -298 + 300. Factor 0*x**f + 0*x + 0 - 1/3*x**3 - 1/3*x**w - 2/3*x**4.
-x**3*(x + 1)**2/3
Let y be 84/(-1 + 15/12*2). Factor 199*c**3 + 164*c**2 + 75*c**4 - 59*c**4 - 77*c**3 + 114*c**3 - y*c.
4*c*(c + 1)*(c + 14)*(4*c - 1)
Let w be -27 + 27 + 142/(-3) - -5. Let x = -251/6 - w. What is y in 1/2 + 1/2*y - 1/2*y**2 - x*y**3 = 0?
-1, 1
Let l(a) be the second derivative of a**5/10 + 9*a**4/14 + 11*a**3/7 + 13*a**2/7 + 746*a + 1. Factor l(p).
2*(p + 1)**2*(7*p + 13)/7
Factor -4/5*b**3 - 64/5*b**2 - 208/5*b - 192/5.
-4*(b + 2)**2*(b + 12)/5
Suppose 0 = -2*f - 4*u + 32, 934 - 910 = f + 3*u. Let z(o) be the third derivative of f + 0*o + 1/56*o**4 - 34*o**2 + 1/420*o**5 + 1/21*o**3. Factor z(g).
(g + 1)*(g + 2)/7
Let x = -599607/964 - -542/241. Let m = 620 + x. Factor 1/4*q**3 - m*q - 1/4*q**2 + 1/4.
(q - 1)**2*(q + 1)/4
Let a(l) be the first derivative of -8/3*l**3 - 1/3*l**6 + 4/5*l**5 + 4*l + 4 - l**2 + l**4. Determine k, given that a(k) = 0.
-1, 1, 2
Solve 213*o**3 + 35*o**4 + 349 + 64*o**2 + 315 + 337*o**3 - 364 - 1180*o + 231*o**2 = 0 for o.
-15, -2, 2/7, 1
Let u be (-513)/114*22/(-1). Let p be (u/44)/(52/(-16) + 4). Suppose 2/3 - 2/9*h**p - 14/9*h + 10/9*h**2 = 0. What is h?
1, 3
Let q(m) be the third derivative of -m**7/1155 + 41*m**6/165 + m**5/2 - m**2 + 123. Factor q(k).
-2*k**2*(k - 165)*(k + 1)/11
Let w(z) be the first derivative of z**6/2160 + z**5/30 - 25*z**4/144 + 17*z**3/3 - 2*z + 25. Let v(q) be the third derivative of w(q). Factor v(m).
(m - 1)*(m + 25)/6
Determine h, given that -4992*h**2 - 163840 - 1027*h**4 + 10122*h + 1023*h**4 - 57226*h - 232*h**3 = 0.
-16, -10
Let n be ((-464)/32)/(1/(-10)). Suppose 33*s - n = -46. Factor 0 + 3/4*p**4 + 6*p**2 + 15/4*p**3 + s*p.
3*p*(p + 1)*(p + 2)**2/4
Suppose x = d + 257 - 240, -2*d = 5*x + 13. What is u in 2/11 + 576*u**2 - 5940*u**x - 6534*u**4 - 196/11*u = 0?
-1, 1/33
Suppose -90 + 30 = 4*h. Let b(k) = -3*k**3 + 108*k**2 + 2. Let u(i) = 21*i**3 - 756*i**2 - 15. Let r(a) = h*b(a) - 2*u(a). What is m in r(m) = 0?
0, 36
Let t be 36/(-16)*(4 - (-185)/(-15) - -7). Solve 2/3*w**t - 80/3 + 88/3*w - 28/3*w**2 = 0 for w.
2, 10
Let o = 1467 - 1462. Let j(q) be the third derivative of 0*q - 10*q**2 + 1/180*q**4 - 1/450*q**o + 2/45*q**3 + 0. Factor j(c).
-2*(c - 2)*(c + 1)/15
Factor 487*p + 976 - 1/2*p**2.
-(p - 976)*(p + 2)/2
Let y(r) be the second derivative of -r**5/25 + 76*r**4/15 + 94*r**3/3 + 316*r**2/5 - 1793*r. Factor y(u).
-4*(u - 79)*(u + 1)*(u + 2)/5
Solve 168/5*s - 704/5 + 2/5*s**2 = 0.
-88, 4
Determine x so that 994/3*x + 350/3*x**3 + 2*x**4 + 220/3 + 1118/3*x**2 = 0.
-55, -2, -1, -1/3
Factor 1/3*r**2 - 23*r - 292/3.
(r - 73)*(r + 4)/3
What is g in -304*g**2 - 323*g**2 + 16016004 - 16008*g + 631*g**2 = 0?
2001
Factor 237/2 + 1/4*b**3 - 547/4*b + 18*b**2.
(b - 6)*(b - 1)*(b + 79)/4
Let x = 13786/1869 - 648/89. Let 0*o - 2/7*o**2 + x*o**5 + 2/7*o**4 - 2/21*o**3 + 0 = 0. Calculate o.
-3, -1, 0, 1
Let f = -4275 + 4282. Let n(t) be the third derivative of 0*t**3 - 1/42*t**f + 0*t**4 + 2*t**2 + 0*t**5 - 1/12*t**6 + 0 + 0*t. Find u, given that n(u) = 0.
-2, 0
Let h = 1823 + -1794. Let p(x) be the first derivative of h - 2/5*x**5 + 2*x**3 - 2*x**2 + 0*x + 0*x**4. Factor p(c).
-2*c*(c - 1)**2*(c + 2)
Let k(x) = -2*x**2 + 53*x - 73. Let i be k(25). Solve -25*b**2 - 18*b**2 + b**i + 14*b - b + 27*b**3 + 2*b = 0 for b.
0, 5/9, 1
Let f = 879475 + -4397366/5. What is c in -f + 12/5*c**2 + 33/5*c = 0?
-3, 1/4
Let d(c) = 5*c - 97. Let n be d(19). Let z be n*((-90)/(-84))/(-5). Factor 45/7*l**2 + 375/7 - z*l**3 - 225/7*l.
-3*(l - 5)**3/7
Let g(c) be the first derivative of 2*c**5/11 - 43*c**4/22 + 164*c**3/33 - 20*c**2/11 - 48*c/11 - 3002. Suppose g(i) = 0. What is i?
-2/5, 1, 2, 6
Factor -130*d**2 + 205*d**2 - 843*d + 3*d**3 + 75*d**2 - 990.
3*(d - 6)*(d + 1)*(d + 55)
What is c in 262/11*c**3 - 6/11*c**4 + 0 - 2/11*c**5 - 260/11*c + 6/11*c**2 = 0?
-13, -1, 0, 1, 10
Let f = 34529 - 34526. Solve -1/4*m**f - 81/4 + 17/4*m**2 - 63/4*m = 0.
-1, 9
Let w = -2175 - -1327. Let z = 853 + w. Suppose 4*i**z + 0 - 4*i**3 + 4/3*i**4 + 0*i - 4/3*i**2 = 0. What is i?
-1, -1/3, 0, 1
Let p(u) = u**3 + 21*u**2 - 41*u + 31. Let s be p(-21). Find q such that -q**2 + 1190 + 4326 - s - 272*q + 5*q**2 = 0.
34
Let z be 12/7*(-4)/756. Let y = z + 9269/882. Factor -y*b**2 - 9/2*b**4 + 0 + 12*b**3 + 3*b.
-3*b*(b - 1)**2*(3*b - 2)/2
Let m(o) be the first derivative of o**4/12 + 206*o**3/9 + 5200*o**2/3 - 21632*o/3 + 532. Factor m(x).
(x - 2)*(x + 104)**2/3
Let t(n) be the third derivative of n**6/240 - 2*n**5/15 + 25*n**4/48 + 7*n**3/2 + 1505*n**2. Let t(s) = 0. Calculate s.
-1, 3, 14
Let v be ((-28)/126)/((-498)/162 - -3). Let w(c) be the first derivative of 4/27*c**v + 1/18*c**4 - 9 + 0*c + 0*c**2. Determine i so that w(i) = 0.
-2, 0
Let w(t) = t*