331/2 + 1545/2*z - 1/2*z**3 - 253/2*z**2.
-(z - 3)**2*(z + 259)/2
Suppose 3*p + 2*h + 328 = 0, 18 = -2*h + 8. Let k be (p/(-265))/((-8)/(-10) + 1). Factor 2/9*g + 0 - k*g**3 + 0*g**2.
-2*g*(g - 1)*(g + 1)/9
Let l(w) be the third derivative of -w**9/60480 - 41*w**5/60 + 16*w**2. Let h(r) be the third derivative of l(r). Factor h(k).
-k**3
Let c(s) be the first derivative of -s**6/6 - 19*s**5 - 887*s**4/4 - 3205*s**3/3 - 2568*s**2 - 3060*s - 542. Solve c(d) = 0.
-85, -3, -2
Let o be -6 - 24/(-8 + 4). Suppose 5*s - 3*a = o, -4*s = -0*s + 2*a. Factor s*p**2 + 0*p + 3/8*p**4 + 0 + 3/8*p**3.
3*p**3*(p + 1)/8
Let p(g) = -5*g**4 + 34*g**3 - 48*g**2 + 50*g - 19. Let k(i) = -4*i**4 + 31*i**3 - 49*i**2 + 51*i - 19. Let n(j) = 6*k(j) - 5*p(j). What is o in n(o) = 0?
-19, 1
Suppose 104*i + 1312 = 112*i. Let c = 822/5 - i. Factor -2/5*j - c*j**2 + 0.
-2*j*(j + 1)/5
Factor -2/3*p + 1/6*p**2 + 2/3.
(p - 2)**2/6
Suppose 0 = -46*n + 12*n + 170. Find v, given that 4*v**2 - n*v - 11*v - 48 + 32*v = 0.
-6, 2
Let w(b) be the second derivative of b**4/6 - 8*b**3/3 + 15*b**2 + 2216*b. Factor w(s).
2*(s - 5)*(s - 3)
Determine r so that 53/5*r**3 - 28/5*r**2 - 96/5*r + 1/5*r**5 - 14/5*r**4 + 0 = 0.
-1, 0, 3, 4, 8
Let b(w) = -2*w**2 - 28*w - 98. Let s = 18 + -61. Let f = -48 - s. Let r(g) = -2*g**2 - 28*g - 98. Let x(c) = f*r(c) + 6*b(c). Suppose x(h) = 0. Calculate h.
-7
Suppose 0 = -357*i + 160*i - 99 + 690. Solve 3/5*m**4 + 9*m**2 + 12/5 - 39/5*m - 21/5*m**i = 0 for m.
1, 4
Let u be (-150 + 105)*(-2)/10 + 65/(-10). Solve 0 - 1/2*l**3 + u*l**2 + 12*l = 0.
-3, 0, 8
Factor 4/7*r**3 + 1640/7 - 816/7*r**2 - 828/7*r.
4*(r - 205)*(r - 1)*(r + 2)/7
Solve 4/7*k**4 + 1392/7*k**3 + 0 + 5520/7*k**2 + 5504/7*k = 0 for k.
-344, -2, 0
Let o(j) = -j**2 - 602*j + 56858. Let x be o(83). Factor -1/6*r**2 - 3/2*r + 3/2 + 1/6*r**x.
(r - 3)*(r - 1)*(r + 3)/6
Let g(i) = -2*i**2 + 9*i - 5. Let w be g(3). Factor 3*v**2 + 84*v**4 - 3*v**2 - 89*v**w.
-5*v**4
Suppose 20*c**2 + 23*c**2 + 16*c**2 + 684*c - 1384 - 55*c**2 = 0. What is c?
-173, 2
Factor 4*q**3 - 714 + 184 + 468*q + 764*q - 468*q + 396*q**2 - 634.
4*(q - 1)*(q + 3)*(q + 97)
Factor 9952/3*c + 12380288/3 + 2/3*c**2.
2*(c + 2488)**2/3
Let r(f) = 7*f**2 + 9*f + 51. Let t(x) = 3*x**2 + 4*x + 25. Let w(o) = 4*r(o) - 9*t(o). Let n be w(-5). Factor -4*u**2 + 2 + 52*u**4 - 108*u**n + 58*u**4.
2*(u - 1)**2*(u + 1)**2
Let m(j) = 21*j**2 + 1424*j + 473. Let i(k) = 21*k**2 + 1426*k + 460. Let f(z) = -5*i(z) + 4*m(z). Let f(a) = 0. Calculate a.
-68, -2/7
Suppose -5*h - 3118 = -g - 3125, 6*g = 2*h + 14. Suppose -16/5*m**h - 4*m - 6/5 = 0. What is m?
-3/4, -1/2
Let w = -7323 - -7323. Let y(n) be the third derivative of -1/420*n**5 + 0 - 22*n**2 + 0*n**3 - 1/168*n**4 + w*n. Factor y(g).
-g*(g + 1)/7
Let o(v) be the second derivative of -v**4/36 - 1568*v**3/9 - 1229312*v**2/3 + 2*v - 3514. Factor o(h).
-(h + 1568)**2/3
Let d be (255/(-50))/17*(-46182)/27. Let p = d + -513. Factor -p*s**2 + 0 + 0*s.
-2*s**2/15
Let t(v) = -v**3 + 6*v**2 - v - 1. Let y(b) = -4*b**3 - 18*b**2 + 112*b - 81. Let z(j) = 3*t(j) - y(j). Let z(c) = 0. Calculate c.
-39, 1, 2
Let y(f) be the third derivative of 0 + 22*f - 1/20*f**6 + 0*f**3 - 3*f**2 + 0*f**4 + 1/45*f**5. Factor y(v).
-2*v**2*(9*v - 2)/3
Let i(h) be the second derivative of -5*h**4/12 + 65*h**3/3 - 525*h**2/2 + 1710*h. Determine m, given that i(m) = 0.
5, 21
Let g = 267/580 + -7/116. Let w = -2/27 + 64/135. Factor 4/5*x**2 - g*x**3 + w*x - 4/5.
-2*(x - 2)*(x - 1)*(x + 1)/5
Let d(c) be the second derivative of -c**4/4 + 455*c**3 - 621075*c**2/2 + 2427*c. Determine z so that d(z) = 0.
455
Suppose 26 = 3*d + 20. Suppose 3*c = -d*l + 23, 0*c - 5*l + 30 = 2*c. Factor -c*s**2 + s + 1 + 4 - s.
-5*(s - 1)*(s + 1)
Let k(z) be the third derivative of -11*z**5/240 + 101*z**4/96 - 3*z**3/4 + 1781*z**2. Factor k(s).
-(s - 9)*(11*s - 2)/4
Let p be (-3698)/33282*(-4)/(-8)*-2. Factor -16/9 - u**2 - 8/3*u - p*u**3.
-(u + 1)*(u + 4)**2/9
Let s = -6677 + 6773. Factor -70/3*g**3 - s*g - 128/3 + 88*g**2 + 2*g**4.
2*(g - 4)**3*(3*g + 1)/3
Let p(s) be the first derivative of -46*s + 30/23*s**3 - 1 - 21*s**2 - 1/46*s**4. Factor p(d).
-2*(d - 23)**2*(d + 1)/23
Let d be (30/(-165))/(924/121 + -8). What is z in -12 + 15/2*z**3 - 14*z - 2*z**4 + 7*z**2 - d*z**5 = 0?
-6, -1, 2
Let v(b) = 10*b**2 + 56*b - 42. Let n(q) = 8*q**2 + 56*q - 36. Let l(h) = 7*n(h) - 6*v(h). Let l(m) = 0. What is m?
0, 14
Suppose -2 + 1 = -l, 0 = 4*o + 4*l - 16. Let -o*f**2 + 3*f**4 + 2415*f**5 + 3*f**3 - 2418*f**5 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Suppose 2*a = -x - 0*x - 10, 2*x - 4*a - 44 = 0. Let l(k) be the first derivative of 35 + x*k + 4*k**2 + 2/3*k**3. Determine j, given that l(j) = 0.
-3, -1
Let a = 2776893/5 + -555373. Factor -a - 2/5*h**2 - 18/5*h.
-2*(h + 2)*(h + 7)/5
Factor -5312*c**2 + 147*c + 3*c**3 - 4 + 5354*c**2 + 112.
3*(c + 1)*(c + 4)*(c + 9)
Let v = -247 - -248. Factor -1 + 6*p**3 - 2057*p**4 + 2*p**2 + v + 2055*p**4 - 6*p.
-2*p*(p - 3)*(p - 1)*(p + 1)
Let j(d) be the third derivative of 0*d + 1/70*d**7 - 1/40*d**6 + 13/8*d**4 - 3*d**3 - d**2 - 7/20*d**5 - 18. Factor j(w).
3*(w - 2)*(w - 1)**2*(w + 3)
Let c(q) be the third derivative of q**6/840 - q**5/140 + q**4/56 - 89*q**3/6 - 115*q**2. Let v(r) be the first derivative of c(r). Factor v(t).
3*(t - 1)**2/7
Suppose 339*q - 330*q = 2088. Suppose -217*b = -q*b + 30. Find r, given that 4/3*r**b + 4/3*r + 4/9*r**3 + 4/9 = 0.
-1
Let r = -6997 + 49027/7. Factor -20/7*c + 2/7*c**3 + 6/7*c**2 - r.
2*(c - 3)*(c + 2)*(c + 4)/7
Let u(o) be the third derivative of o**5/40 - 15*o**4/16 + 25*o**3/2 + 346*o**2. Find g, given that u(g) = 0.
5, 10
Let t = 2969 - 2966. Let o(l) be the first derivative of 16*l - 16 + 12*l**2 + 4*l**t + 1/2*l**4. Solve o(z) = 0 for z.
-2
Let w = -10/649 - -9037/38940. Let n(y) be the third derivative of 0*y + 12*y**2 - 1/40*y**6 + 0 - w*y**5 - 2/3*y**4 - 2/3*y**3. Find b, given that n(b) = 0.
-2, -1/3
Let r(s) be the third derivative of -s**7/45 - 13*s**6/60 - 41*s**5/90 + 17*s**4/12 + 4*s**3 - 57*s**2. What is u in r(u) = 0?
-3, -4/7, 1
Let y(q) be the second derivative of -3*q**2 + 2/5*q**6 - 5/2*q**3 - 1/2*q**4 + 3/5*q**5 + 0 + 1/14*q**7 + 76*q. Let y(a) = 0. Calculate a.
-2, -1, 1
Let v(l) = l - 8. Let q be 3*(1 - 2) + 15. Let f be v(q). Determine s, given that -16*s**4 - 5 - 15*s**3 - 35*s**3 - 60*s**2 - 30*s - 7*s**4 + 8*s**f = 0.
-1, -1/3
Suppose 2*a = 5*x + 2053, -4*x + 3*a + 424 = 2072. Let y = 1231/3 + x. Factor y*k + 2/3*k**4 - 4/3*k**3 - 2/3 + 0*k**2.
2*(k - 1)**3*(k + 1)/3
Let v(i) be the second derivative of -i**5/30 + 31*i**4/3 + 757*i**3/9 + 190*i**2 - 476*i. Factor v(m).
-2*(m - 190)*(m + 1)*(m + 3)/3
Let i(y) be the third derivative of y**8/336 - 23*y**7/30 + 1039*y**6/20 + 4961*y**5/15 + 1681*y**4/3 + 954*y**2 - 2*y + 1. Factor i(c).
c*(c - 82)**2*(c + 1)*(c + 2)
Let k(u) be the first derivative of u**4/60 - 52*u**3/15 + 1352*u**2/5 - 143*u + 87. Let w(y) be the first derivative of k(y). Factor w(f).
(f - 52)**2/5
Let j(z) = 8*z**2 - 3468*z + 1513788. Let g(r) = 63*r**2 - 27746*r + 12110306. Let u(s) = 6*g(s) - 47*j(s). Factor u(i).
2*(i - 870)**2
Determine g, given that 1/3*g**4 + 0 + 14*g - 4*g**3 + 29/3*g**2 = 0.
-1, 0, 6, 7
Let w(m) = -m**2 + 13*m - 19. Let b be w(7). Suppose 4*u = b + 13. Factor 5 + 5*g**4 + 21*g**2 - u*g**2 + 20*g - 10*g**3 + 18*g**2 + 30*g**3.
5*(g + 1)**4
Let r(d) be the third derivative of -7*d**5/20 + 113*d**4/8 + 190*d**3 + 280*d**2 + 2*d - 4. Determine a, given that r(a) = 0.
-20/7, 19
Let y(l) be the second derivative of -9*l + 1/6*l**4 + 0*l**3 + 3 + 0*l**2 - 1/8*l**5. Factor y(x).
-x**2*(5*x - 4)/2
Let r be (935/(-748))/((-70)/112). Factor 57/4*v**r + 21/4*v**3 - 51/2*v + 6.
3*(v - 1)*(v + 4)*(7*v - 2)/4
Let b(x) be the second derivative of -1/130*x**5 + 17*x + 0 + 0*x**2 + 1/78*x**4 + 2/13*x**3. Factor b(w).
-2*w*(w - 3)*(w + 2)/13
Suppose 198*w + 3207 = 3999. Factor 22/9*g**2 + 0 + 8/3*g**3 + 4/9*g - 2*g**w.
-2*g*(g - 2)*(3*g + 1)**2/9
Let t(w) = -21*w - 184. Let a be t(-9). Let d(c) be the second derivative of 7*c + 0 + 3/80*c**a + 1/24*c**3 - 1/120*c**6 + 0*c**2 - 1/16*c**4. Factor d(f).
-f*(f - 1)**3/4
Let n(l) be the first derivative of -5/24*l**4 + 1/12*l**5 - 5/3*l**3 + 12 + 15/2*l**2 + 0*l. Let y(f) be the second d