be the third derivative of 1/8*z**i + 0 - 1/20*z**6 + 0*z - 3*z**2 - 1/8*z**5 + 3/4*z**3. Factor m(o).
-3*(o + 1)**2*(4*o - 3)/2
Factor -29427 + 29427 + 5*g**2 - 1400*g.
5*g*(g - 280)
Let w(v) be the first derivative of -40 + 0*v - 8/5*v**2 + 2/15*v**3. Factor w(z).
2*z*(z - 8)/5
Let v(i) be the third derivative of 0 + 2*i**2 - 1/3*i**3 - 1/48*i**4 - 25*i + 1/240*i**5. Suppose v(x) = 0. Calculate x.
-2, 4
Let i(q) = -q - 2. Let h be i(-4). Let w = -76583/5 + 15317. Find g such that -g - 4/5*g**h - 1/5*g**3 - w = 0.
-2, -1
Suppose 13*y - 24 = y. Factor 96 + 2*i**2 + 2*i**y - 12*i - 44*i + 0*i**2.
4*(i - 12)*(i - 2)
Let m = 569 - 459. Let a = 332/3 - m. Suppose a*n**3 + 2/3*n + 0 + 4/3*n**2 = 0. What is n?
-1, 0
Suppose -12*a + 1100 = 43*a. Let s be 53/a - 144/60. Solve 0 + 0*j + j**2 + s*j**4 + j**3 = 0 for j.
-2, 0
Let s be (2/(-5))/((-248)/(-310)*10/(-4)). Solve -4/5 - o - s*o**2 = 0.
-4, -1
Let a(x) be the first derivative of 9*x**3 + 0*x + 34 + 21/5*x**5 + 1/2*x**6 + 45/4*x**4 + 0*x**2. Factor a(c).
3*c**2*(c + 1)*(c + 3)**2
Let k(g) be the third derivative of g**5/90 + 25*g**4/9 - 68*g**3/3 + 277*g**2 - 2*g. Factor k(u).
2*(u - 2)*(u + 102)/3
Let l(t) be the third derivative of -t**9/241920 + t**8/80640 + 11*t**5/60 - t**3/3 - 18*t**2 + t. Let f(w) be the third derivative of l(w). Factor f(r).
-r**2*(r - 1)/4
Find n, given that 201*n**2 + 405/2 - 3/4*n**3 + 1617/4*n = 0.
-1, 270
Let -94*k + 1/2*k**5 + 111/2*k**2 + 7/2*k**3 - 15/2*k**4 + 42 = 0. Calculate k.
-3, 1, 2, 14
Let a(g) = -3*g + 7. Let d be a(1). Factor 4600*t + 3260*t**2 + 349*t**3 + 840 + 161 + 114*t**3 + 64*t**d + 999 + 259*t**3 + 2*t**5.
2*(t + 1)**2*(t + 10)**3
Let u(q) be the second derivative of -q**5/20 + 9*q**4/8 + 45*q**2 - q - 65. Let t(p) be the first derivative of u(p). Let t(y) = 0. Calculate y.
0, 9
Suppose 5*s + 92 = 6*s - 4*r, 11 = -8*r + 7*r. Let x = -5 - -41. Let -27/4 - x*b - s*b**2 = 0. Calculate b.
-3/8
Let z = -4570 + 4576. Let m(a) be the first derivative of -18 + 2/11*a + 1/11*a**2 + 1/33*a**z + 2/55*a**5 - 4/33*a**3 - 1/11*a**4. Let m(q) = 0. What is q?
-1, 1
Let t be 2/((88/20 - 4)/((-468)/(-585))). Solve -4/3 - 1/6*a**t + 11/3*a + 4/3*a**3 - 7/2*a**2 = 0 for a.
1, 2, 4
Suppose 21*d = 19*d + 4. Factor -f**2 - 1026 + d*f - 44*f + 585.
-(f + 21)**2
Let d(v) be the first derivative of -1/180*v**6 + 33 + 1/12*v**4 - v**3 + 0*v**2 + 0*v**5 - v. Let l(a) be the third derivative of d(a). Factor l(r).
-2*(r - 1)*(r + 1)
Suppose -2146*n - 795 + 3647 = -720*n. Factor 6/7*m**n + 36/7*m + 30/7.
6*(m + 1)*(m + 5)/7
Let k = 1/157652 - -157647/788260. Factor -21/10*x + 9/5 + k*x**2 + 1/10*x**3.
(x - 3)*(x - 1)*(x + 6)/10
Let k(d) be the first derivative of 2*d**5/45 - 17*d**4/18 + 236*d**2/9 + 640*d/9 + 310. Suppose k(i) = 0. Calculate i.
-2, 5, 16
Let s(l) be the second derivative of -l**6/255 - 33*l**5/85 - 451*l**4/34 - 8344*l**3/51 - 7056*l**2/17 + 508*l + 5. Determine c so that s(c) = 0.
-28, -9, -1
Let i(n) = n**3 + 21*n**2 - 23*n - 40. Let u be i(-22). Let f = 35 + u. Factor -813 + 849 + d**2 - f*d + 5*d.
(d - 6)**2
Let o(k) be the second derivative of -k**5/5 + 5*k**4/3 + 400*k**3/3 - 3000*k**2 + 5*k - 23. Factor o(t).
-4*(t - 10)**2*(t + 15)
Let l(w) be the second derivative of -2*w**7/735 + w**5/21 - 8*w**3/21 + 38*w**2 + 6*w - 5. Let o(x) be the first derivative of l(x). Solve o(u) = 0.
-2, -1, 1, 2
Let x be (17370/(-81))/(-2) + 4/(-18). Suppose 12*f - 131 = -x. Find t, given that 2/5*t**3 + 2*t + 8/5*t**f + 4/5 = 0.
-2, -1
Let o = -52569 - -157718/3. Suppose -o*l + 1/3*l**3 + 4/3*l**2 + 2 = 0. Calculate l.
-6, 1
Let z(d) be the second derivative of 4/15*d**3 - 1/2*d**2 - 1/20*d**4 + 18*d - 4. Factor z(r).
-(r - 1)*(3*r - 5)/5
Let n = 6197/4 + -18583/12. Let b(x) be the first derivative of 5*x**2 + n*x**3 - 25 + 8*x. Suppose b(p) = 0. What is p?
-4, -1
Determine m, given that 0 - 8714/13*m**3 + 220/13*m**4 - 2/13*m**5 + 146520/13*m**2 - 887112/13*m = 0.
0, 18, 37
Suppose 10*y = 8*y - 6*d + 44, 3*y - 6 = 3*d. Let x be (-272)/(-26)*16/56*y. Find o such that 30/13*o**3 + 64/13 + x*o**2 + 264/13*o = 0.
-8, -2/3, -2/5
Let a = 40 - 37. Factor 70*c**a + 56 - 24*c**2 - 39*c**3 - 35*c**3 + 36*c.
-4*(c - 2)*(c + 1)*(c + 7)
Let v(s) be the third derivative of s**7/140 + 7*s**6/80 - 19*s**5/40 - 7*s**4/16 + 9*s**3/2 - 240*s**2. Determine w, given that v(w) = 0.
-9, -1, 1, 2
Let f be (-42)/(-364)*-44 - -10. Let m = 1280/8151 + -2/627. Factor 0 - f*h**2 - 32/13*h - 48/13*h**3 - m*h**5 - 16/13*h**4.
-2*h*(h + 2)**4/13
Let x(z) be the second derivative of z**4/3 + 226*z**3/3 + 660*z**2 - 27*z + 22. Let x(l) = 0. Calculate l.
-110, -3
Let u(d) = 3*d**2 - 15*d - 14. Let o(y) = 19*y**2 - 90*y - 83. Let k(v) = 2*v**2 + 28*v - 39. Let h be k(-14). Let p(q) = h*u(q) + 6*o(q). Factor p(m).
-3*(m - 16)*(m + 1)
Let k be 264/(-5940) - 452/(-2070). Let m(t) be the first derivative of 2/115*t**5 - 2/23*t**3 - 1/23*t**4 + 8/23*t + 19 + k*t**2. Solve m(g) = 0 for g.
-1, 2
Let j(s) be the first derivative of s**4/38 - 112*s**3/57 - 115*s**2/19 - 116*s/19 - 4139. Factor j(i).
2*(i - 58)*(i + 1)**2/19
Suppose -4*q - d = -204, -4*q - 3*d = -0*d - 196. Let i = q - 50. Determine y so that y**4 + 0*y**2 - 2*y**3 - 4*y**2 + 2*y + 3*y**i + 0*y**4 = 0.
-1, 0, 1, 2
Let d(m) be the third derivative of m**8/168 - 3*m**7/35 + 3*m**6/10 + 16*m**5/15 - 8*m**4 - 24*m**2 - 8*m. Factor d(a).
2*a*(a - 4)**2*(a - 3)*(a + 2)
Let y(q) be the first derivative of 1/18*q**3 + 0*q**2 - 1/36*q**4 - 3 + 4*q. Let l(i) be the first derivative of y(i). Factor l(h).
-h*(h - 1)/3
Factor -52*c - 3*c**2 - 63*c - 261 - 39 - 41*c.
-3*(c + 2)*(c + 50)
Find y such that 238 - 172 - 89*y**2 - 18*y**3 + 19*y + 22*y**3 = 0.
-3/4, 1, 22
Let k = 12727/4 - 3181. Let n(w) be the first derivative of k*w - 24 + 1/8*w**3 + 9/16*w**2. Factor n(z).
3*(z + 1)*(z + 2)/8
Let m = -398152/9 - -44240. Factor m*i + 22/9 - 14/9*i**2.
-2*(i + 1)*(7*i - 11)/9
Factor -20089 - 15171*q - 5751 + 63555*q + 765*q**2 + 3*q**3 - 31952 + 8640.
3*(q - 1)*(q + 128)**2
Let t be 7/15 + (-1)/(-3). Suppose 2255*z - 2569*z = -628. Find d such that -2/15*d**3 - t + 8/15*d**z - 2/15*d = 0.
-1, 2, 3
Determine q so that 3193/4*q**2 + 4*q**4 + 326*q**3 + 711/4 + 654*q = 0.
-79, -1, -3/4
Suppose 6*w - 488 = 82. Let d be w/60 + 2 + (-4)/16. Find l, given that -14/9*l**4 - 2*l**2 - d*l**3 + 0*l + 0 - 2/9*l**5 = 0.
-3, -1, 0
Suppose 0 = 4*t - 4*j - 40, -4*t - 2*j + j = -15. Let u = -1735 + 1738. Determine g so that -t*g + g**4 + 0*g - g + 8*g - 1 - 2*g**u = 0.
-1, 1
Let z(p) be the second derivative of -21*p - 1/15*p**4 - 4/45*p**3 - 1/225*p**6 - 2/75*p**5 + 0 - 1/15*p**2. Factor z(h).
-2*(h + 1)**4/15
Let m(y) = -y**3 + 3*y**2 - y - 1. Let l(r) = 1. Let b(u) = u + 3. Let s(w) = b(w) - 4*l(w). Let a(k) = -m(k) - 2*s(k). Solve a(z) = 0.
-1, 1, 3
Let f(x) = -3001*x + 96035. Let q be f(32). Determine u, given that -204/7*u**2 - 4/7*u**q - 19652/7 - 3468/7*u = 0.
-17
Let w(l) be the first derivative of -5*l**6/33 - 204*l**5/55 - 230*l**4/11 - 112*l**3/11 + 2457. Suppose w(k) = 0. Calculate k.
-14, -6, -2/5, 0
Let a(t) be the second derivative of -t**7/210 + 2*t**6/25 + 4*t**5/25 - 19*t**4/30 - t**3/2 + 13*t**2/5 + 32*t + 7. Suppose a(g) = 0. Calculate g.
-2, -1, 1, 13
Let i(s) = 5*s**2 - 10*s + 21. Let t be i(3). Let m = t + -36. Factor m*r - 2/5*r**5 + 2/5*r**3 - 2/5*r**4 + 2/5*r**2 + 0.
-2*r**2*(r - 1)*(r + 1)**2/5
Suppose 18 + 74 = 22*j - 18. Suppose 0 - 1/3*d**2 - j*d = 0. What is d?
-15, 0
Let 132/7*i - 2/7*i**2 - 2178/7 = 0. What is i?
33
Let q(u) be the first derivative of 1/20*u**4 + 108 - 1/15*u**3 + 0*u - 6/5*u**2. Let q(y) = 0. Calculate y.
-3, 0, 4
Let j(g) be the third derivative of 52 + 5/3*g**4 + 11/15*g**5 + 0*g + 1/30*g**6 - g**2 + 0*g**3. Find z such that j(z) = 0.
-10, -1, 0
Let v = -101420 - -304261/3. Factor 1/3*k**3 + 0 - v*k - 1/3*k**2 + 1/3*k**4.
k*(k - 1)*(k + 1)**2/3
Let j(q) = 2*q**2 + 1930*q + 30371. Let d be j(-16). Solve 4*l**2 - 1/2*l**4 - 7/2 + 3*l - 3*l**d = 0.
-7, -1, 1
Factor -66120*m + 1155*m**2 - 85740 - 5*m**3 - 1208 + 19668.
-5*(m - 116)**2*(m + 1)
Let f(c) = -c**2 - 4*c + 572. Let r be f(-26). Let u(p) be the second derivative of 1/110*p**5 + r + 1/33*p**4 + 31*p - 1/33*p**3 - 2/11*p**2. Factor u(g).
2*(g - 1)*(g + 1)*(g + 2)/11
Let 