 - 3882*o**4 - 340*o**3 = 0.
-1, 0, 2/137, 1, 5
Let w = -372 - -374. Find x such that 34905*x**5 + 8*x**4 - 64*x + 18*x**4 - 34903*x**5 + 176*x**w + 116*x**3 - 256 = 0.
-4, -2, 1
Let r(i) = -i**3 - 11*i**2 - 7*i + 32. Let w be r(-10). Factor -w*c**4 - 32*c**2 - 34*c**3 - 1427*c + 1427*c.
-2*c**2*(c + 1)*(c + 16)
Let a(x) be the third derivative of -x**5/100 - 3*x**4/4 - 45*x**3/2 - 940*x**2. Factor a(v).
-3*(v + 15)**2/5
Let p(k) be the third derivative of 115*k**2 + 31/390*k**5 + 0 + 70/39*k**4 + 196/13*k**3 + 1/780*k**6 + 0*k. Factor p(h).
2*(h + 3)*(h + 14)**2/13
Let o be (-129)/(-12) - 315/(-126)*(-2 + -2). Let s be (18/4)/((-6)/(-1)). Factor o*m**3 + 0 + 1/4*m - s*m**2 - 1/4*m**4.
-m*(m - 1)**3/4
Factor -3/7*n**2 - 1/7*n**3 + 16/7*n - 12/7.
-(n - 2)*(n - 1)*(n + 6)/7
Let n be (-20 - 560/(-30))/(24/(-9)). Let r = 41/78 + 4/13. Let 1/3*d + 0 - r*d**2 + n*d**3 + 1/6*d**4 - 1/6*d**5 = 0. What is d?
-2, 0, 1
Let b(s) be the third derivative of 0*s - 5/27*s**3 - 1/72*s**4 + 1/540*s**5 + 0 - 66*s**2. Factor b(z).
(z - 5)*(z + 2)/9
Let t(o) be the second derivative of -o**7/210 - 2*o**6/15 - 6*o**5/25 + 367*o**4/30 - 1703*o**3/30 + 507*o**2/5 + 58*o - 10. Suppose t(h) = 0. Calculate h.
-13, 1, 2, 3
Let n(j) be the first derivative of j**6/6 - 77*j**5/25 + 16*j**4 - 536*j**3/15 + 184*j**2/5 - 16*j - 2169. Find f such that n(f) = 0.
2/5, 1, 2, 10
Let p(i) = -i**3 - 25*i**2 + 34*i - 14. Let k(b) = -2*b**3 - 25*b**2 + 33*b - 13. Let q(l) = -6*k(l) + 7*p(l). Solve q(x) = 0 for x.
1, 2
Let t(y) = -5*y**2 - 661*y - 1218. Let o(q) = -4*q**2 - 662*q - 1236. Let h(w) = 7*o(w) - 6*t(w). Solve h(k) = 0.
-2, 336
Let o(w) = -20*w + 525. Let c be o(26). Suppose 9 = c*m - 11. Factor 1/3*l**m - 2/3 + 1/3*l**2 - l**3 + l.
(l - 2)*(l - 1)**2*(l + 1)/3
Find n, given that 0 - 144/7*n**3 - 4/7*n**5 + 1600/7*n + 68/7*n**4 - 1520/7*n**2 = 0.
-4, 0, 1, 10
Let m(j) be the second derivative of 5*j**4/12 + 545*j**3/6 - 2030*j**2 - j + 999. Factor m(o).
5*(o - 7)*(o + 116)
Suppose -351 = 8*h - 11*h. Factor -h*f**3 + 4*f**2 + 101*f**3 + 12*f**2 + 4*f**4.
4*f**2*(f - 2)**2
Let j(f) be the third derivative of f**6/90 + 19*f**5/90 - 8*f**4/9 + 11*f**3/9 - 1896*f**2 + f. Suppose j(m) = 0. What is m?
-11, 1/2, 1
Let g(a) be the third derivative of a**5/12 - 335*a**4/12 - 680*a**3/3 + 4*a**2 - 5*a - 5. Factor g(c).
5*(c - 136)*(c + 2)
Suppose -18 = -i - 4*j, 2*i + 5*j - 61 = -34. Let b be 22/(-132)*(-78)/(-4) + i. Factor -9/8 - 3*q - 1/8*q**4 - q**3 - b*q**2.
-(q + 1)**2*(q + 3)**2/8
Factor 0 + 50*z**3 - 1/5*z**4 + 1/5*z**2 - 50*z.
-z*(z - 250)*(z - 1)*(z + 1)/5
Let p(i) be the first derivative of -i**6/4 + 3*i**5/2 + 375*i**4/8 - 125*i**3/2 - 3750*i**2 - 18750*i - 2653. Factor p(a).
-3*(a - 10)**2*(a + 5)**3/2
Solve 875/3*k + 292 - 1/3*k**2 = 0.
-1, 876
Factor 1/4*y**4 + 75/4*y - 75/4*y**3 - 77/4*y**2 + 19.
(y - 76)*(y - 1)*(y + 1)**2/4
Let p(v) = 21*v**2 - 5324*v - 7903. Let j be p(255). Factor 0 + 100/3*u**j + 5/3*u**3 + 95/3*u.
5*u*(u + 1)*(u + 19)/3
Factor 1598472/13 + 3576/13*u + 2/13*u**2.
2*(u + 894)**2/13
Let f(x) be the third derivative of -1/12*x**5 + 0 + 2*x - 3*x**2 - 5*x**3 + 25/24*x**4. Factor f(q).
-5*(q - 3)*(q - 2)
Let k(v) be the second derivative of -v + 7/4*v**3 + 1/8*v**4 - 15 - 6*v**2. Factor k(h).
3*(h - 1)*(h + 8)/2
Let b = -321 - -224. Let g = b + 132. Factor -15 + g*c + 20 - 35*c**2 - 15 + 10*c**3.
5*(c - 2)*(c - 1)*(2*c - 1)
Factor -567/2 + 687/4*h + 27/4*h**2.
3*(h + 27)*(9*h - 14)/4
Let z(h) = 3*h**4 - 8*h**2 + 4. Let m(c) = -6*c**2 + 1493*c**4 - 1491*c**4 + 3 - 2*c**3 - c**2 + 3*c**3. Let s(g) = -4*m(g) + 3*z(g). Factor s(r).
r**2*(r - 2)**2
Suppose -v + 3*j - 54 = 0, 3*v + 2*j = -133 - 29. Let g be (27/36)/((v/32)/(-3)). Determine q, given that g*q + 0 - 1/3*q**2 = 0.
0, 4
Let j(d) be the first derivative of -5*d**4/4 - 205*d**3 + 970*d**2 + 6300*d + 8427. Factor j(o).
-5*(o - 5)*(o + 2)*(o + 126)
Let n(x) = x**3 - 8*x**2 + 12*x + 2. Let i be n(6). Factor 20*w**i + 39*w**4 + 8*w**3 - 8*w**3 - 44*w**4.
-5*w**2*(w - 2)*(w + 2)
Let g(t) be the second derivative of -t**8/3920 + 3*t**7/1960 - t**6/420 + 40*t**3/3 - 15*t. Let p(q) be the second derivative of g(q). Factor p(u).
-3*u**2*(u - 2)*(u - 1)/7
Solve 10606*y**3 - 3 + 2*y**4 - 5305*y**3 + 3 - 5313*y**3 - 8*y + 18*y**2 = 0.
0, 1, 4
Factor -1/3*b**3 + 36 + 12*b - b**2.
-(b - 6)*(b + 3)*(b + 6)/3
Let n be (1 + (-112)/24 - -9)/((-5)/(-6)). Solve 104/5*z**2 + 14/5*z**5 - n*z**4 - 62/5*z**3 + 0 - 24/5*z = 0.
-2, 0, 2/7, 1, 3
Let 2/7*k**3 + 318/7*k + 1620/7 - 68/7*k**2 = 0. What is k?
-3, 10, 27
Let x(w) = -w + 13. Let b be x(-5). Let f be -9*(-3)/2*4/b. Factor -28*r + 37*r**2 + 4*r**5 + 8 + 0*r**3 - 5*r**3 - 5*r**2 - 8*r**4 - 3*r**f.
4*(r - 1)**4*(r + 2)
Suppose 85 + 86 = 15*t + 171. Let o(w) be the third derivative of 64/3*w**3 + 0*w - 8*w**2 + 1/60*w**6 + 4*w**4 + 2/5*w**5 + t. What is r in o(r) = 0?
-4
Suppose -3*v = 4*j - 0*j - 480, -3*j + 357 = 3*v. Suppose -27*g**2 + 2052*g + 3*g**3 + 252*g + 6*g**2 - j*g**2 - 12288 = 0. Calculate g.
16
Solve 351*j - 6749*j**2 + 1383*j - 6757*j**2 + 13503*j**2 = 0.
0, 578
Let o = 18817 + -18815. Suppose 0*y + 1/3*y**o + 0 = 0. Calculate y.
0
Let t(u) = 4*u - 26. Let m be t(7). Suppose -m*j + 112 = 5*j. Factor -j - 5*p**4 + 10*p**3 + 4*p**4 + p**4 + 12*p**2 + 2*p**4 - 8*p.
2*(p - 1)*(p + 2)**3
Let z be (133/(-323))/((-266)/14592). Find o, given that -884736/17*o - 2/17*o**4 - z*o**3 - 10616832/17 - 27648/17*o**2 = 0.
-48
Let c = -31739/60 + 529. Let p = 161/60 - c. Factor -p*d - 2/3*d**2 + 0.
-2*d*(d + 4)/3
Let j(t) be the first derivative of 5*t**3/3 - 67*t**2 - 27*t - 566. Determine f, given that j(f) = 0.
-1/5, 27
Solve -2105*n + 20407*n**4 + 1998*n**2 - 149961 - 25933*n**2 + 149901 - 79740*n**3 + 76793*n**4 + 8640*n**5 = 0.
-12, -1/12, 1
Suppose -40*d + 38*d = -m + 448, -m + 400 = 4*d. Suppose -48*b + m + 4/3*b**2 = 0. Calculate b.
18
Let q = -14877/16 - -930. Let z(x) be the first derivative of -7 + 1/20*x**5 + 0*x + 1/8*x**2 + q*x**4 + 1/4*x**3. Solve z(m) = 0 for m.
-1, 0
Let s = -207 - -211. Determine r, given that 49*r**2 + 16*r**4 - s*r**2 - 11*r**4 - 30*r**3 = 0.
0, 3
Let j(a) = a**4 + 2*a**3 + 7*a**2 - a - 1. Let z(r) = -3*r**4 - 58*r**3 - 995*r**2 - 6302*r - 5374. Let l(h) = 2*j(h) + z(h). Suppose l(c) = 0. What is c?
-21, -16, -1
Let h = -27616 + 27620. Factor 1/4*z**5 + 0*z**h - 1/2*z**2 - 3/4*z**3 + 0*z + 0.
z**2*(z - 2)*(z + 1)**2/4
Let g be (112/((-2)/(-1)))/(26 - 24). Let k be 1 - (-14)/52 - 14/g. Factor 8/13*h - k*h**2 + 2/13.
-2*(h - 1)*(5*h + 1)/13
Suppose 2*t - 4*k = 164, -3*k - 2*k - 15 = 0. Let m be (-2 - (-1225)/266) + (-8)/t. What is r in m*r**3 - 1/2*r**4 + 0*r + 0*r**2 + 0 = 0?
0, 5
Let b(z) = z**3 - 2*z**2 - z + 1. Let l be b(3). Let f be (11 - 3) + 4 + -6. Factor -3*n**4 + n**4 + n - 4*n + f*n**2 + l*n.
-2*n*(n - 2)*(n + 1)**2
Let g(f) = 6*f**3 + 26*f**2 + 72*f + 50. Let t(b) = 13*b**3 + 51*b**2 + 148*b + 101. Let l(c) = -5*g(c) + 2*t(c). Solve l(q) = 0.
-3, -2
Let d(u) be the first derivative of u**6/120 - 3*u**5/10 + 11*u**4/8 - 16*u**3/3 - u**2 + 5. Let p(k) be the third derivative of d(k). Let p(j) = 0. What is j?
1, 11
Let w(a) be the first derivative of a**3/9 + 1736*a**2/3 + 3013696*a/3 + 1624. Let w(h) = 0. Calculate h.
-1736
Let j(g) be the second derivative of -5/2*g**4 + 0 + 5/14*g**7 + 94*g + 9*g**2 + 2/5*g**6 + 7/2*g**3 - 9/5*g**5. Let j(y) = 0. What is y?
-1, 1, 6/5
Let l(c) = 11*c - 24*c + 1 + 14*c - 4. Let k be l(18). Factor -1 + 10*j**2 - 13 - 6 + 15*j**2 + k*j**3 - 20*j.
5*(j - 1)*(j + 2)*(3*j + 2)
Let m = 24023 + -24021. Solve -3/7*y + 186/7*y**4 + 0 + 144/7*y**5 - 24/7*y**m + 3*y**3 = 0 for y.
-1, -1/2, -1/8, 0, 1/3
Let y(f) be the third derivative of -f**5/60 + 103*f**4/6 - 137*f**3/2 + 1086*f**2. Let y(l) = 0. Calculate l.
1, 411
Suppose 22 = -4*c + 42. Let m be 7/(21/c)*1*3. Factor -553 + 25*f + m*f**2 + 553.
5*f*(f + 5)
Let o be 12/(-15) - (-14 + 1392/160). Let t(s) be the second derivative of -o*s**2 - 2*s + 0 - 1/4*s**4 - 2*s**3. Determine p, given that t(p) = 0.
-3, -1
Let g be 3 - (-2)/14*-7. Find y, given that 144*y**4 + 20*y**3 - 141*y**4 + 25*y**3 + 12 - 9*y**5 - 36*y - 15*y**g = 0.
-2, -1, 1/3, 1, 2
Let l(f) be the second derivative of -f**8/7560 + f**7/945 + f**6/324 + 25*f**3/6 - 70*f. Let k(a) be 