*y**3 - 2 + y**s. Suppose r(o) = 0. What is o?
-1, 0
Let m be -1 - (5/35 - (-6077)/(-3045)). Let i = m + -22/87. Let -108/5 + 36/5*r - i*r**2 = 0. What is r?
6
Suppose -289 = -8*r + 375. Suppose -q = -2*z + 7*z - r, 0 = z + 5*q - 7. Factor 15*a**3 - 2*a**4 + 5*a - z*a**2 + 2*a**2 - 3*a**4.
-5*a*(a - 1)**3
Let c(j) = -633 - 34*j - 654 - 2*j**2 + 1255. Let g(b) = -b**2 - 17*b - 16. Let n(v) = -6*c(v) + 11*g(v). Factor n(z).
(z + 1)*(z + 16)
Let p(o) = 6*o - 49. Let z be p(34). Solve -79*d**2 + 889*d**3 + 93*d**2 + 511*d**2 + 15 + z*d - 304*d**3 = 0.
-1/3, -3/13
Solve -4*i**4 + 0*i**2 - 140*i - i**5 - 104*i**2 + 83*i**3 + 44*i**2 - 90*i**2 + 212*i = 0.
-12, 0, 1, 6
Suppose -4*l = 3*p + 535 - 517, -2*p + 4*l = -28. Let g(d) be the first derivative of -17 + 0*d + 0*d**p - 3/38*d**4 - 2/57*d**3. Suppose g(v) = 0. Calculate v.
-1/3, 0
Factor 2/9*s**4 - 20/9*s**2 - 16/9*s + 0 - 2/9*s**3.
2*s*(s - 4)*(s + 1)*(s + 2)/9
Let p = -69 - -14. Let k = 59 + p. Determine d, given that 23*d**3 - 9*d**5 - 30*d**k + 24 - 42*d + 150*d + 114*d**2 - 14*d**3 = 0.
-2, -1, -1/3, 2
Let z be ((-5)/105)/(1 - 34/33). Let p = z + 61/28. Factor -75/4*w - 1/4*w**3 + 125/4 + p*w**2.
-(w - 5)**3/4
Suppose 3063*s**2 + 255/4 - 4092*s**3 + 16*s**4 - 3061/4*s = 0. What is s?
1/4, 255
Let r(p) be the third derivative of -p**6/60 - 651*p**5/5 - 423801*p**4 - 735718536*p**3 + p**2 + 20*p + 19. Find w, given that r(w) = 0.
-1302
Let d be (-59 - (-51)/1)*((-22)/(-24))/(-11). Solve 4/3*x**4 + d*x + 0 + 8/3*x**2 + 10/3*x**3 = 0 for x.
-1, -1/2, 0
Let k(u) be the third derivative of u**5/60 - 5*u**4/12 - 40*u**2 + u. Let j(o) = -4*o**2 + 19*o. Let r(g) = -2*j(g) - 5*k(g). Factor r(p).
3*p*(p + 4)
Let y = -198 - -200. Let g(d) be the first derivative of 25*d**y + 5/3*d**3 + 125*d - 15. Determine l so that g(l) = 0.
-5
Let q = -12379/2100 + 124/21. Let w(u) be the second derivative of q*u**5 + 0 + 1/6*u**3 - 1/5*u**2 + 14*u - 1/15*u**4. Factor w(g).
(g - 2)*(g - 1)**2/5
Let j(b) = -29*b**3 - 39*b**2 - 22*b. Let r(h) = 24*h**3 + 36*h**2 + 22*h. Let y(v) = 5*j(v) + 6*r(v). Factor y(p).
-p*(p - 22)*(p + 1)
Let g(w) be the third derivative of 1/15*w**3 - 1/150*w**5 + 7*w**2 + 1/60*w**4 - 4*w - 1/300*w**6 + 0. Let g(t) = 0. Calculate t.
-1, 1
Factor 2/11*p**2 - 62/11*p + 260/11.
2*(p - 26)*(p - 5)/11
Let p(z) be the second derivative of 2*z**6/45 - z**5/3 - z**4/9 + 10*z**3/9 + 6456*z. Let p(i) = 0. What is i?
-1, 0, 1, 5
Let u = 96 - 56. Suppose k - u = -3*k. Factor 9*a**3 + k*a**2 - 4*a + 0*a + 5*a**3 + 0*a.
2*a*(a + 1)*(7*a - 2)
Solve -13952*j - 2189889*j**4 + 593*j + 363*j**3 - 10779*j**2 + 2189886*j**4 + 66978 = 0 for j.
-3, 2, 61
Factor 33/2*b**2 - 81/2 + 3/2*b**3 + 45/2*b.
3*(b - 1)*(b + 3)*(b + 9)/2
Let d = 69255 + -207763/3. Solve 1/6*o**5 + o**3 - 2/3*o**2 - d*o**4 + 0 + 1/6*o = 0.
0, 1
Let f(q) be the second derivative of -q**4/84 + 55*q**3/42 + 4*q**2 + 3878*q + 2. Factor f(c).
-(c - 56)*(c + 1)/7
Let b(d) = 12*d + 62. Let v be b(-5). Find p such that 62*p**5 - 78*p**3 + 8*p**4 - 479*p**2 + 957*p**2 + 8*p + 8*p**5 - 486*p**v = 0.
-1, -2/5, 0, 2/7, 1
Let b(g) be the third derivative of -g**7/525 + 217*g**6/75 - 93743*g**5/75 - 6293*g**4 - 12615*g**3 + 2*g**2 - 21*g + 8. Suppose b(n) = 0. Calculate n.
-1, 435
Find r such that -898*r + 207*r + 149*r + 4*r**2 + 127168 - 778*r - 18268 = 0.
165
Suppose -51762*r = -51749*r - 52. Let o be 0 + 1/(-2) + 1. Factor 0*q + 1/2*q**3 + 0 - 1/2*q**2 + 1/2*q**r - o*q**5.
-q**2*(q - 1)**2*(q + 1)/2
Let q(m) be the second derivative of -m**6/15 - 1249*m**5/2 - 4334723*m**4/2 - 9037880807*m**3/3 - 18023794882*m**2 + 10539*m. Factor q(k).
-2*(k + 2)*(k + 2081)**3
Let x(g) = 2*g**4 - 38*g**3 - 123*g**2 - 3*g. Let q(n) = 3*n**4 - 72*n**3 - 245*n**2 - 5*n. Let y(o) = 6*q(o) - 10*x(o). Factor y(u).
-2*u**2*(u + 6)*(u + 20)
Suppose -v = j + 6, -51 = 2*j + 5*v - 15. Factor 4/9*b + 1/9*b**j + 1/3.
(b + 1)*(b + 3)/9
Let p(v) = -v**2 - 7*v + 2. Let a be p(-7). Suppose 0*s - 5*w = s - 13, w + 4 = a*s. Suppose -6*f**4 + 2*f**s + 12*f**5 + 6*f**4 - 11*f**4 = 0. Calculate f.
0, 1/4, 2/3
Let b(x) be the first derivative of -2*x**5/75 + 68*x**4/3 - 76612*x**3/15 - 46376*x**2/3 - 232562*x/15 - 4918. Factor b(t).
-2*(t - 341)**2*(t + 1)**2/15
Let r be (4/2)/(2*(-1)/(-3)). Factor 5 + 82*t**2 - 67*t**2 + 5*t**3 + t**r + 15*t - t**3.
5*(t + 1)**3
Suppose -713 + 74 = -3*u. Let w = u - 213. Factor -4/5*s**2 - 4/5*s + w - 1/5*s**3.
-s*(s + 2)**2/5
Suppose 0 = -8*k + 4*k - 312. Let y be (-2 - k/(-18)) + 7. Factor 0*i**2 + 0 - y*i + 2/3*i**3.
2*i*(i - 1)*(i + 1)/3
Suppose 0 = -7*f - 2338 + 2275. Let s be -6 - 0 - 99/f. Solve -2*a + 1/5*a**2 + s = 0.
5
Let w(l) = l + 7 - l + 2*l**2 + 25 + 8*l. Let p(v) = -v. Let d = -4 + -4. Let r(s) = d*p(s) + w(s). Let r(f) = 0. Calculate f.
-4
Let g = -174 - -161. Let j(f) = 4*f**2 + 379*f + 9630. Let h(a) = 2*a**2 + 190*a + 4814. Let s(t) = g*h(t) + 6*j(t). Solve s(m) = 0 for m.
-49
Let b(k) be the third derivative of -k**6/72 - 11*k**5/9 + 475*k**4/72 + 115*k**3/3 + 1193*k**2. Suppose b(p) = 0. What is p?
-46, -1, 3
Let i(o) = 10*o**4 - o**3 - o**2 - 2*o + 1. Let z(x) = -65*x**4 - 3154*x**3 - 502424*x**2 - 995388*x - 496131. Let a(f) = 6*i(f) + z(f). Factor a(d).
-5*(d + 1)**2*(d + 315)**2
Let t(z) be the second derivative of -3/8*z**5 + 0 - 1/180*z**6 - 7/2*z**2 - 43/24*z**4 - 127/36*z**3 + 39*z. Factor t(q).
-(q + 1)**3*(q + 42)/6
Solve 148/7*q**2 + 4/7*q**5 + 0 - 52/7*q**4 + 104/7*q - 12/7*q**3 = 0 for q.
-1, 0, 2, 13
Factor -45 - 51/4*l - 3/8*l**2.
-3*(l + 4)*(l + 30)/8
Let s(k) be the second derivative of 10*k**7/147 - 48*k**6/35 + 243*k**5/35 - 236*k**4/21 + 40*k**3/7 + 2392*k. Solve s(b) = 0 for b.
0, 2/5, 1, 3, 10
Factor -8*n**4 - 12 - 14 + 9*n**4 - 8*n**3 + 8 + 18*n**2 - 9.
(n - 3)**3*(n + 1)
Let z be (938/(-245) - -4)/(6/10). Let r(c) be the third derivative of 0*c - z*c**4 + 1/105*c**5 - 13*c**2 + 0 + 24/7*c**3. Factor r(u).
4*(u - 6)**2/7
Let c(l) = -12005*l - 24008. Let t be c(-2). Factor -4/3*y + 2/15*y**3 + 0 - 6/5*y**t.
2*y*(y - 10)*(y + 1)/15
Let v be -7*(-65)/(35035/84). What is s in v*s**4 + 18/11*s**3 + 0*s + 0 - 12/11*s**2 - 18/11*s**5 = 0?
-1, 0, 2/3, 1
Let i be 12 - 5/(20/24) - (-36 - -38). Factor 8/7*d**2 + 0 - 18/7*d**3 + 12/7*d**i + 0*d - 2/7*d**5.
-2*d**2*(d - 4)*(d - 1)**2/7
Let k(u) be the second derivative of u**4/72 - 5*u**3/6 - 175*u**2/12 - 694*u. Factor k(x).
(x - 35)*(x + 5)/6
Let w(j) = -123*j - 1200. Let g be w(-10). Let r(c) be the third derivative of -2*c**4 + g*c**2 - 7/20*c**5 - 2*c**3 + 0 + 0*c. Factor r(x).
-3*(x + 2)*(7*x + 2)
Let h be 5 - 2/25*5335. Let w = -421 - h. Let w*j**5 - 21/5*j**4 + 37/5*j**3 + 0 - 24/5*j**2 + 4/5*j = 0. Calculate j.
0, 1/4, 1, 2
Let c = -21870 - -87483/4. Solve -9/2*f**3 + c*f**5 + 9/2*f**2 + 1/4*f**4 - 1/4*f - 3/4 = 0.
-3, -1/3, 1
Let x(w) be the third derivative of 1/160*w**6 + 1/80*w**5 + 0 - 5/32*w**4 + 3/8*w**3 - 60*w**2 + 0*w. Factor x(i).
3*(i - 1)**2*(i + 3)/4
Let z(x) be the second derivative of 0*x**3 - 1/4*x**4 + 3/2*x**2 + 25*x + 0. Factor z(g).
-3*(g - 1)*(g + 1)
Let c(l) be the second derivative of -23*l**7/12600 + 11*l**6/1800 + l**5/600 - 7*l**4/2 + 39*l. Let a(n) be the third derivative of c(n). Factor a(k).
-(k - 1)*(23*k + 1)/5
Let c(d) be the second derivative of -d**7/14 + 3*d**6 + 1472*d - 2. Determine q so that c(q) = 0.
0, 30
Let c(k) = -7*k**2 + 15*k. Let u be c(2). Solve 0 + 6*r**2 + 7*r**3 - 50*r + 40 - u*r**3 - r**2 = 0 for r.
-4, 1, 2
Determine y so that -17/9*y**3 + 16/9*y**2 + 1/9*y**4 + 0*y + 0 = 0.
0, 1, 16
Let c(w) = 3*w**3 - 2*w**2 - 21*w - 10. Let n be c(-2). Let h(f) be the first derivative of n*f - 3/32*f**4 - 1/2*f**3 - 14 - 9/16*f**2. Factor h(t).
-3*t*(t + 1)*(t + 3)/8
Suppose -279 = -11*x - 147. Let c(v) be the first derivative of 2/11*v**2 + 10/33*v**3 + x - 8/11*v**4 + 0*v + 18/55*v**5. Factor c(y).
2*y*(y - 1)**2*(9*y + 2)/11
Let z(v) be the first derivative of 7/2*v**2 + 0*v**3 - 1/8*v**4 - 1 + 1/120*v**6 + 0*v - 1/30*v**5. Let h(o) be the second derivative of z(o). Factor h(g).
g*(g - 3)*(g + 1)
Let b(t) = t**2 - 5*t - 1. Let k(a) = 18*a - 174. Let d be k(10). Let p be b(d). Factor 300*j**2 + 290/3*j**3 + 360*j + 2/3*j**p + 144 + 40/3*j**4.
2*(j + 1)**2*(j + 6)**3/3
Let y be (6/2)/((-144)/(-7008)). Suppose 28*n + y - 174 =