1/18519 - -12253/55557. Let x(v) = -v**3 + 2*v**2 + 2*v - 2. Let c be x(2). Factor -8/9*g + 8/9 + a*g**c.
2*(g - 2)**2/9
Solve -60*y**2 + 3/2*y**3 + 3/4*y**4 + 0*y + 0 = 0 for y.
-10, 0, 8
Let l(s) = 2*s**4 - 3*s**3 + 88*s**2 + 77*s - 49. Let u(d) = 2*d**4 - 4*d**3 + 68*d**2 + 76*d - 50. Let c(h) = -4*l(h) + 5*u(h). Factor c(m).
2*(m - 3)**2*(m - 1)*(m + 3)
Let p(o) = 3*o**2 - 65*o - 16. Let n be p(22). Let w(u) be the third derivative of 1/40*u**n + 1/10*u**5 + 0 + 0*u - 1/8*u**4 - u**3 + 20*u**2. Factor w(j).
3*(j - 1)*(j + 1)*(j + 2)
Let a = -16509942/11 + 1500904. Suppose a*g**3 - 20/11*g**2 + 392/11 - 14/11*g = 0. What is g?
-4, 7
Determine d so that 1760*d + 120*d**3 - 3475*d**4 + 1200 + 840*d**2 + 1735*d**4 + 1735*d**4 = 0.
-2, 30
Let t be 2239/(-4478)*53/2*5936/(-21). Factor t - 424/3*w + 4/3*w**2.
4*(w - 53)**2/3
Let j(d) = -236*d**3 + 7432*d**2 + 2726*d + 272. Let s(b) = 237*b**3 - 7429*b**2 - 2725*b - 268. Let t(x) = 5*j(x) + 6*s(x). What is k in t(k) = 0?
-2/11, 31
Let z = 1260369/17 + -74139. Let z*n**4 + 2/17*n**2 - 2/17*n + 10/17*n**3 + 0 = 0. What is n?
-1, 0, 1/3
Let i(o) be the first derivative of -4*o**5/55 + 5*o**4/22 + 8*o**3/3 - 137*o**2/11 + 180*o/11 - 2973. Solve i(s) = 0.
-5, 1, 2, 9/2
Let i be (-61)/(-9) + (-8)/(-36). Factor 5*u**2 + 28*u - 16*u - i*u**2 - 10.
-2*(u - 5)*(u - 1)
Let 164/5*p + 1/5*p**4 + 122/5*p**2 + 69/5 + 28/5*p**3 = 0. What is p?
-23, -3, -1
Factor 40*c**2 + 395/3*c - 5/3*c**3 + 90.
-5*(c - 27)*(c + 1)*(c + 2)/3
Let k(j) be the second derivative of 0 + 0*j**2 + 37*j + 1/21*j**3 - 2/35*j**5 - 1/14*j**4. Factor k(f).
-2*f*(f + 1)*(4*f - 1)/7
Suppose -8*v = -4*v + 3*u + 506, 0 = 3*v - 2*u + 388. Let m = -125 - v. Determine k so that -177*k**3 + 28*k**2 + 173*k**m + 16 - 32*k - 8*k**2 = 0.
1, 2
Suppose 0 = -2*j - 2*j + 8, -p + 11 = 3*j. Suppose 3*h - 15 = 0, -p*l + 92 - 2 = 4*h. Factor 24*t + 22*t**2 - 12*t**2 - l*t**2.
-4*t*(t - 6)
Let g = 206 - 205. What is n in -17*n + g - 2 - 5*n + n**2 + 1 = 0?
0, 22
Let z(f) be the second derivative of 22*f**7/105 - 3*f**6/10 - 8*f**5/5 - 2*f**4/3 - 7*f**2 - 23*f. Let q(w) be the first derivative of z(w). Factor q(i).
4*i*(i - 2)*(i + 1)*(11*i + 2)
Let x = 22437 + -22434. Let u(k) be the first derivative of 27 + 4/3*k**2 - 2*k - 2/9*k**x. Factor u(c).
-2*(c - 3)*(c - 1)/3
Let b be 45/(-10)*8/(-6). Suppose z = b*z. Find q such that -5*q**4 + 0 + 5*q**5 + 5*q**2 + z - 4*q**3 - q**3 = 0.
-1, 0, 1
Let d(n) be the third derivative of -n**7/504 + 11*n**6/36 + 15*n**5/8 - 33*n**4/8 - 9*n**2 - n. Let c(h) be the second derivative of d(h). Factor c(r).
-5*(r - 45)*(r + 1)
Let o(i) be the third derivative of i**7/280 + i**6/40 - i**5/40 - 3*i**4/8 + 23*i**3/3 + 5*i**2 - 6. Let k(t) be the first derivative of o(t). Factor k(y).
3*(y - 1)*(y + 1)*(y + 3)
Let n(z) = 13*z**4 + 54*z**3 + 80*z**2 + 44*z + 8. Let r(f) = -14*f**4 - 56*f**3 - 81*f**2 - 45*f - 10. Let v(i) = -5*n(i) - 4*r(i). Factor v(c).
-c*(c + 2)**2*(9*c + 10)
Factor -113 + 6*i**2 + 777*i - 8*i**3 + 369 + 9*i**3 - 921*i.
(i - 8)*(i - 2)*(i + 16)
Let z = -105/454 + 2903/8626. Let a be 180/(-95) - (0 + (1 - 3)). Let z*p**3 + 10/19 - a*p - 10/19*p**2 = 0. Calculate p.
-1, 1, 5
Let g(a) be the first derivative of -a**6/3 - 428*a**5/5 - 15121*a**4/2 - 228240*a**3 + 730944*a**2 - 746496*a + 461. Find i, given that g(i) = 0.
-72, 1
Let s(h) be the second derivative of 0 - 5/27*h**3 + 1/108*h**4 + 57*h + 7/6*h**2. Factor s(g).
(g - 7)*(g - 3)/9
Let l(x) be the first derivative of -x**6/24 - 8*x**5/5 - 61*x**4/16 - 5*x**3/2 - 3962. Factor l(c).
-c**2*(c + 1)**2*(c + 30)/4
Let c(g) = 4*g**4 - 124*g**3 + 1109*g**2 - 3909*g + 4874. Let v(j) = 4*j**4 - 124*j**3 + 1108*j**2 - 3908*j + 4872. Let p(s) = 4*c(s) - 5*v(s). Factor p(d).
-4*(d - 19)*(d - 4)**3
Let r be (-153)/(-85) + (-1137)/(-90) + 25/(-30). Factor 4/5*j**3 + 352/5*j + r*j**2 + 576/5.
4*(j + 4)**2*(j + 9)/5
Let a(r) be the third derivative of r**7/1260 + r**6/72 + r**5/15 - 49*r**2 - 3. Factor a(c).
c**2*(c + 4)*(c + 6)/6
Let l = 52/2893 + 5110/37609. Find v such that 8/13*v**3 + l*v - 10/13*v**5 - 12/13*v**4 + 12/13*v**2 + 0 = 0.
-1, -1/5, 0, 1
Let k = 4530 + -407699/90. Let c(v) be the third derivative of 0*v - 1/18*v**4 + 8/9*v**3 - k*v**5 + 0 - 47*v**2. Factor c(g).
-2*(g - 2)*(g + 4)/3
Let g be ((-6)/4)/((-2)/4) - -119. Let g*j**2 - 2*j**5 + 6*j**3 - j**4 - j**4 + 4*j - 112*j**2 = 0. What is j?
-1, 0, 2
Let m be -20*(2 - (-15)/(-10)). Let y be ((-80)/(-8) - 11) + (-34)/m. Factor 6/5*u**4 - 18/5*u**2 + y + 6/5*u**3 - 6/5*u.
6*(u - 1)**2*(u + 1)*(u + 2)/5
Let x(a) = 7*a**4 - 151*a**3 - 7650*a**2 - 132496*a - 124996. Let i(t) = 2*t**4 + t + 1. Let y(j) = 20*i(j) - 5*x(j). Suppose y(q) = 0. Calculate q.
-50, -1
Let f = 16372/3 + -5392. Let j = 68 - f. Solve 4/3*p**4 - 4/3*p**2 + j*p - 8/3*p**3 + 0 = 0 for p.
-1, 0, 1, 2
Let y(l) be the third derivative of l**9/1008 + l**8/560 - 20*l**3/3 + 2*l**2 + 3*l. Let n(g) be the first derivative of y(g). Suppose n(k) = 0. What is k?
-1, 0
Let -4/7*c**3 - 32*c**2 + 456/7 + 236/7*c = 0. What is c?
-57, -1, 2
Let g(y) be the third derivative of -y**8/56 - 5*y**7/168 - 29*y**3/2 + 7*y**2 - y. Let b(i) be the first derivative of g(i). Determine v, given that b(v) = 0.
-5/6, 0
Let g(c) be the second derivative of 0 + 0*c**2 - 1/60*c**5 + 38*c + 0*c**3 + 1/36*c**4. Factor g(n).
-n**2*(n - 1)/3
Let z(l) = -3867*l**3 - 136*l**2 - 12*l - 5. Let d(k) = 5801*k**3 + 208*k**2 + 17*k + 7. Let v(u) = -10*d(u) - 14*z(u). Solve v(s) = 0 for s.
-1/44, 0
Let h(b) be the second derivative of b**5/10 + 31*b**4/2 + 765*b**3 + 6075*b**2 - 1222*b. What is z in h(z) = 0?
-45, -3
Let q(w) be the third derivative of w**8/84 - 13*w**6/30 + 6*w**4 - 212*w**2. Determine o, given that q(o) = 0.
-3, -2, 0, 2, 3
Let t be (61/(-1647) - 15/81)/(4/(-6)). Factor 207*a - 1058/3 + t*a**4 - 15*a**3 + 481/3*a**2.
(a - 23)**2*(a - 1)*(a + 2)/3
Let l = -1980 - -1980. Let d = 20/3 + -58/9. What is r in -10/9*r**2 - 2/9*r**5 + d*r**4 + 2/3*r**3 + 4/9*r + l = 0?
-2, 0, 1
Let d(p) = -p**3 - 18*p**2 - 15*p + 33. Let t be d(-17). Let k be (t/(-4))/((189/(-14))/(-9)). Determine z so that 1/3 + k*z**2 + 1/2*z = 0.
-2, -1
Let w be 2/(11/((-198)/(-12))). Let d(f) be the first derivative of 0*f**2 + 6*f + 15 - 1/2*f**w. Factor d(u).
-3*(u - 2)*(u + 2)/2
Let l(w) be the first derivative of 2*w**5/45 - 4*w**4/3 - 8*w**3 - 112*w**2/9 + 610. Let l(i) = 0. What is i?
-2, 0, 28
Find y such that 0 - y**5 + 0*y + 26/3*y**4 - 37/3*y**3 + 14/3*y**2 = 0.
0, 2/3, 1, 7
Let n(x) = -x**2 + 3. Let r(f) = f - 1. Let w(i) = -n(i) + 2*r(i). Let j be w(-7). Let 4 + j*g - 35*g - 2*g**2 + 3*g**2 = 0. What is g?
1, 4
Let k = 64 - 37. Suppose -4*z - 2*l = -42, -z - 3*l + 8*l = -k. Factor v**4 + z*v + 0*v**3 - 16*v - 3*v**2 + 4*v**3 - 14*v.
v*(v - 2)*(v + 3)**2
Let j = -60981 + 60983. Solve 12/7*o**4 - 128/7 - 208/7*o**j + 288/7*o - 4/7*o**5 + 40/7*o**3 = 0 for o.
-4, 1, 2
Solve 279/2 + 117/8*k**2 - 3/8*k**3 - 195/2*k = 0.
2, 6, 31
Factor 1/5*z**2 + 124*z + 19220.
(z + 310)**2/5
Suppose -19*h = -7*h. Suppose h = 11*a + 17 - 61. Factor 0 + 1/4*s**a + 0*s - 5/4*s**3 + s**2.
s**2*(s - 4)*(s - 1)/4
Let b be 273/(-15561) - (-458)/114. Factor 0 + 4/3*n - 28/9*n**2 + 20/9*n**3 - 4/9*n**b.
-4*n*(n - 3)*(n - 1)**2/9
Let c be 30/6 + 613 - 1. Factor d**3 - c*d**2 - 343 + 59*d + 88*d + 596*d**2.
(d - 7)**3
Let i = -323857 + 323857. Let v = -6 - -9. Factor i*t**2 + 4/3*t**5 + 0 + 0*t + 4/3*t**4 - 8/3*t**v.
4*t**3*(t - 1)*(t + 2)/3
Suppose -22*j - 23 = -25*j + 7*s, 0 = 3*j - 3*s - 15. Let b(d) be the third derivative of -4/3*d**j + 29*d**2 - 1/45*d**5 + 0 + 7/18*d**4 + 0*d. Factor b(v).
-4*(v - 6)*(v - 1)/3
Let w(b) be the first derivative of -27*b**4/32 - 13*b**3/4 + 73*b**2/16 + 4*b - 7020. Find s, given that w(s) = 0.
-32/9, -1/3, 1
Let d = 809 + -786. Suppose 16*i = -32*i - d*i. Factor 4/5*m**4 - 8/5*m**3 + 0*m + 4/5*m**2 + i.
4*m**2*(m - 1)**2/5
Let b(s) be the third derivative of s**6/30 - 31*s**5/5 - 293*s**4/3 - 528*s**3 - 2*s**2 + s - 1582. What is z in b(z) = 0?
-4, -2, 99
Let o(c) be the third derivative of -c**7/840 + 101*c**6/480 - 539*c**5/48 + 2401*c**4/32 - c**2 - c + 743. Suppose o(s) = 0. What is s?
0, 3, 49
Suppose -5/3*h**3 + 0*h - 115/3*h**2 + 0 = 0. What is h?
-23, 0
Determine i, given that 