= -5*l - 2. Determine x so that 154*x**3 - 174*x**3 + 4*x - 35*x**2 + 4*x + l*x = 0.
-2, 0, 1/4
Let u(a) be the first derivative of 4/3*a**3 + 134 + 1600*a + 80*a**2. Solve u(n) = 0 for n.
-20
Let c = -217121 - -1523647/7. Solve -32*t - 4320/7*t**3 + 0 - 250/7*t**5 - 1696/7*t**2 - c*t**4 = 0 for t.
-14, -2/5, 0
Let v be ((1 - 3) + 3)*(-1 - -1). Let l be v + 288/21 - 4/(-14). Factor -3*c**3 - 11*c**4 + l*c**4 + 3*c - 11*c**2 + 8*c**2.
3*c*(c - 1)**2*(c + 1)
Suppose 515*v + 165 = 1195. Factor 2/3 + 1/3*w**v - w.
(w - 2)*(w - 1)/3
Let a(q) be the third derivative of q**5/390 + 17*q**4/52 + 180*q**3/13 + 3*q**2 - q + 520. Factor a(k).
2*(k + 15)*(k + 36)/13
Let j(u) be the second derivative of u**5/240 - u**4/96 - 28*u**2 + 14*u. Let n(w) be the first derivative of j(w). Factor n(c).
c*(c - 1)/4
Let q be 3/3 - (-2 - 8). Suppose 4 = -n + 3*d, 2*n + q*d = 13*d. Factor 0 + 5/6*z - 1/6*z**n.
-z*(z - 5)/6
Let q(a) be the second derivative of 17*a**4/114 - 25*a**3/57 - 7189*a. Factor q(p).
2*p*(17*p - 25)/19
Let v(l) be the third derivative of l**5/80 - 337*l**4/32 + 335*l**3/4 - 1122*l**2. Solve v(z) = 0 for z.
2, 335
Suppose -116 = -3*n + z + 508, -z = 2*n - 421. Solve -89*m**2 + 2*m**4 + 7*m**3 - 96*m**2 + 9*m**3 + n*m**2 = 0.
-6, -2, 0
Factor 40/3*z + 8/3*z**2 + 0 - 10/3*z**3 - 2/3*z**4.
-2*z*(z - 2)*(z + 2)*(z + 5)/3
Let i be 80/16 + 7/((-11578)/8276). Let p = i - -26473/2481. Factor 6*x + p*x**3 + 16*x**2 + 2/3.
2*(x + 1)*(4*x + 1)**2/3
Let k(u) be the first derivative of -u**5/10 + 19*u**4/8 + 7*u**3/2 - 19*u**2/4 - 10*u - 2303. Factor k(c).
-(c - 20)*(c - 1)*(c + 1)**2/2
Let j(o) be the first derivative of o**5/50 + 11*o**4/40 + o**3/2 + 64*o**2 + 60. Let f(r) be the second derivative of j(r). Find t, given that f(t) = 0.
-5, -1/2
Factor 920/9*f + 200/9 + 1058/9*f**2.
2*(23*f + 10)**2/9
Let n(b) = 9*b**2 - 18*b. Let g(v) = 8*v**2 - 21*v. Suppose 0 = 2*i + 2*m - 4*m + 4, -3*i - 2*m = 16. Let a(w) = i*g(w) + 3*n(w). What is q in a(q) = 0?
0, 6
Let a be 2424/56 - 32/(-672). Let j(f) be the second derivative of 2/21*f**7 - 2/5*f**5 - 14/15*f**6 + 0 + 50*f**2 - 10*f + 46/3*f**4 + a*f**3. Factor j(r).
4*(r - 5)**2*(r + 1)**3
Let f(j) be the first derivative of -52/3*j + 186 + 2/9*j**3 + 11/3*j**2. Suppose f(t) = 0. What is t?
-13, 2
Let t(g) = 10*g**2 - 10*g + 20. Let c be t(2). Factor 12*v**3 - 13*v**2 + c*v + 20*v**2 + 4 + 23*v**2 + v**4 + 5 - 12*v.
(v + 1)**3*(v + 9)
Let m(h) be the third derivative of h**8/2352 - h**7/98 + 37*h**6/420 - 11*h**5/35 + 3*h**4/7 + 4220*h**2. Find u such that m(u) = 0.
0, 1, 2, 6
Let r(f) be the second derivative of f**6/15 + 37*f**5/2 + 1379*f**4 - 26132*f**3/3 + 17672*f**2 - 336*f. Determine z so that r(z) = 0.
-94, 1, 2
Suppose -16*h = 355 - 387. Let p = 30/7 - 309/77. Factor 0*w**3 + 0 + 1/11*w**5 - 4/11*w**h + 0*w + p*w**4.
w**2*(w - 1)*(w + 2)**2/11
Let x(a) = 28757*a + 115031. Let m be x(-4). Factor -3/2 + 1/2*n**2 + 5/4*n - 1/4*n**m.
-(n - 3)*(n - 1)*(n + 2)/4
Let w(z) be the first derivative of -z**6/120 - 69*z**5/40 + 35*z**4/4 + 247*z**3/3 + 139. Let y(g) be the third derivative of w(g). Factor y(f).
-3*(f - 1)*(f + 70)
Suppose 0 = 5*t - 3*y - 37, 4*t - 8*t + y = -31. What is s in 9*s**2 + s**3 - t*s**2 - s**5 + 2*s**2 - 3*s**4 = 0?
-3, -1, 0, 1
Suppose 4*k - 32 = 0, -14*k + 16*k - 16 = -4*u. Find p such that 1/5*p + u + 9/5*p**2 = 0.
-1/9, 0
Let m(i) be the first derivative of -i**3 + 2043*i**2 - 1391283*i - 1447. Determine z, given that m(z) = 0.
681
Let z(x) be the first derivative of -3*x**6/2 + 12*x**5/5 + 105*x**4/4 - 78*x**2 + 48*x + 1031. Determine g, given that z(g) = 0.
-2, 1/3, 1, 4
Let c(t) be the second derivative of 0*t**3 - 8*t**2 + 1/3*t**4 + 0 + 11*t. Solve c(v) = 0.
-2, 2
Let 1319 + 59937*x**2 + 2*x**3 - 59903*x**2 - 624*x + 628 + 141 = 0. What is x?
-29, 6
Let m(h) be the third derivative of 1/3*h**3 + 7/30*h**5 + 3*h**2 + 13/24*h**4 + 0*h + 0. Let d(k) = -k**2. Let z(u) = 3*d(u) - 3*m(u). Solve z(l) = 0 for l.
-2/3, -1/5
Factor 8*n**3 + 55*n**2 + 1/3*n**4 + 0 + 350/3*n.
n*(n + 5)**2*(n + 14)/3
Let s(p) = 6*p + 24. Let g be s(-4). Suppose -5*x + 5 = g, 2*w + 4*x = w + 23. Factor -60*z + 19 + 8*z**4 - 3*z**4 - w - 35*z**3 + 80*z**2.
5*z*(z - 3)*(z - 2)**2
Let y(n) be the second derivative of 34*n**5/25 - 133*n**4/10 - 56*n**3/15 + 12*n**2/5 + 591*n + 1. What is m in y(m) = 0?
-1/4, 2/17, 6
Let h(p) = -288*p - 5740. Let s be h(-20). Let q(a) be the first derivative of 5*a**2 + 2/3*a**3 + s + 0*a. Factor q(t).
2*t*(t + 5)
Let c(w) be the second derivative of -w**4/6 + 866*w**3/3 - 187489*w**2 + 9*w - 12. Let c(h) = 0. Calculate h.
433
Let q be (2 - 2)/(0 + 2). Let p(h) = -131*h + 6812. Let u be p(52). Factor u*o + 3/5*o**3 + 0*o**2 + q*o**4 - 3/5*o**5 + 0.
-3*o**3*(o - 1)*(o + 1)/5
Suppose -d = 4*w - 6*d - 9, 0 = 5*w - d - 6. Let k be ((-3)/2)/(w/(-2)). Factor -18*s**5 - 6*s**k - 36*s**2 + 33*s**5 - 24*s - 12*s**5 + 9*s**4.
3*s*(s - 2)*(s + 1)*(s + 2)**2
Suppose -53 + 65 = 6*y. Factor 386 - 42*w + 0*w + 0*w**y - 16*w**2 - 368.
-2*(w + 3)*(8*w - 3)
Factor 60*f**2 + 0 + 4/3*f**4 + 64/3*f**3 - 216*f.
4*f*(f - 2)*(f + 9)**2/3
Let h(v) = 52*v - 731. Let o be h(14). Let l be 160/(-50) - o/(3/4). Find i such that l*i**2 - 6/5*i**4 + 4/5*i**3 + 2/5 - 6/5*i + 2/5*i**5 = 0.
-1, 1
Let d(f) be the first derivative of 15 + 0*f**2 + 0*f - 3/10*f**4 + 4/5*f**3. Factor d(t).
-6*t**2*(t - 2)/5
Suppose -5*v + 95 = 5. Suppose 77*n**2 + 19*n**4 - 40 + 16*n**4 + 120*n**3 + v*n**2 - 30*n = 0. Calculate n.
-2, -1, 4/7
Let j = 953 - 530. Let g = j - 421. Factor -12/5 - 16/5*k - 1/5*k**3 - 7/5*k**g.
-(k + 2)**2*(k + 3)/5
Let b(y) be the first derivative of -y**3 + 24 - 15/2*y**2 - 12*y. Let b(a) = 0. What is a?
-4, -1
Let h(f) be the first derivative of f**3/12 + 9*f**2/8 + 2199. Find w such that h(w) = 0.
-9, 0
Let m(c) be the third derivative of -c**5/120 - 59*c**4/48 - 55*c**3/3 + 2014*c**2. Factor m(y).
-(y + 4)*(y + 55)/2
Let x = 80206 - 320823/4. Factor x*w**2 - 1/4*w**5 + 0 - 1/4*w**4 + 1/4*w**3 + 0*w.
-w**2*(w - 1)*(w + 1)**2/4
Find d, given that 2/3*d**3 - 10/3*d**2 + 4/3*d + 16/3 = 0.
-1, 2, 4
Let x(g) be the third derivative of g**5/36 - 65*g**4/18 - 265*g**3/18 + 21*g**2 + 51. Factor x(v).
5*(v - 53)*(v + 1)/3
Let n = 47 + 16. Let b be (-4)/(-5) + n/15. Let b + 1 - 10 - 8*r - 4*r**2 = 0. What is r?
-1
Let r(v) = 2*v**2 + 19*v + 38. Let j be r(-2). Suppose -3*b**5 + 0*b**2 + 109*b**3 + 40 - 70*b - 44*b**3 + j*b**5 - 5*b**2 - 35*b**4 = 0. What is b?
-1, 1, 2, 4
Let u(o) = o**2 + 4*o - 11. Let c be u(-6). Let n be (-36)/(-21) - (c - (-36)/(-28)). What is q in 6 - 20 + n*q + 6 + 2*q**2 + 4 = 0?
-2, 1
Let r be (4*(1 - 2))/(-1). Suppose o = 7 - r. Factor 3/5*n**o - 3/5*n**2 - 6/5*n + 0.
3*n*(n - 2)*(n + 1)/5
Let x(g) be the first derivative of -g**5 - 45*g**4/4 + 60*g**3 - 10*g**2 - 240*g - 1320. Factor x(j).
-5*(j - 2)**2*(j + 1)*(j + 12)
Let j be 112/(-104) - (-16496)/832. Find n, given that 3/4*n**2 + 0 + j*n = 0.
-25, 0
Suppose 260 = -332*x + 322*x. Let d(s) = s**2 + 33*s + 182. Let q be d(x). Find l such that -4/5*l**5 + q - 1/5*l**4 + 0*l + 1/5*l**2 + 4/5*l**3 = 0.
-1, -1/4, 0, 1
Find b, given that -136*b**3 + 102*b**3 - 41*b**4 + 39*b**4 = 0.
-17, 0
Let 107/4*w**2 + 0 - 1/4*w**3 - 105/2*w = 0. What is w?
0, 2, 105
Let d be (1/5)/((-11)/(-165)). Find j, given that 18 + 0*j**d + 0 - 16 + 3*j - j**3 = 0.
-1, 2
Let v be 0/((3 - 6) + 1). Suppose 3*j - 2*n - 14 = v, 3*j + 8*n - 4*n + 10 = 0. Factor 0 + w + 1/3*w**j.
w*(w + 3)/3
Let d(y) be the second derivative of -8/75*y**3 - 1/125*y**5 + 19/150*y**4 - 9/25*y**2 + 13*y - 1. Let d(m) = 0. Calculate m.
-1/2, 1, 9
Let j(v) = -v + 118. Let x be j(26). Suppose -68*c**3 + 16*c**3 - 4*c + 0*c - 4*c**4 - x*c**2 - 40*c = 0. What is c?
-11, -1, 0
What is r in -5/4*r**4 + 45/4*r**2 + 20*r - 5*r**3 - 25 = 0?
-5, -2, 1, 2
Let f(x) = -x**3 - 10*x**2 + 23*x. Let j be f(-12). Factor -j*r**3 + 4*r**5 - 217*r**2 - 8*r**4 + 217*r**2.
4*r**3*(r - 3)*(r + 1)
Let l(k) be the first derivative of k**5/20 - 29*k**4/8 + 259*k**3/4 + 495*k**2/2 - 675*k - 5193. Find f, given that l(f) = 0.
-3, 1, 30
Let p be 8 + (-384)/66 + (-4)/22. Solve -608*d**p + 51*d - 8*d + 9*d + 1606*d**3 + 2*d + 242*d**4 + 2*d = 0.
-7, 0, 2/11
Determine o, given that 18/7*o**2 + 0*o - 3/7*o**3 + 0 + 3/7*o**