+ 0*y - 4/3*y**4 + 0 = 0.
-3, -2, 0, 1
Let z(y) be the first derivative of 34 - 32*y**3 - 3/5*y**5 + 30*y**2 + 39/4*y**4 + 0*y. Factor z(j).
-3*j*(j - 10)*(j - 2)*(j - 1)
Let n be ((-1)/(-7))/(13/845) + -8. Suppose -8*r = -102 + 86. Solve 0 - 9/7*s**r - 3/7*s**4 - 3/7*s - n*s**3 = 0 for s.
-1, 0
Suppose -3*w - 116 = -d, d - 4*w + 252 = 3*d. Factor 20*f + 9 + d*f**3 + 4*f**2 + 4*f**2 + 7 - 121*f**3.
(f + 2)**2*(f + 4)
Let y(a) = 19*a**2 - 141*a + 266. Let z(m) = -159*m**2 + 1126*m - 2126. Let j(w) = 17*y(w) + 2*z(w). Solve j(v) = 0 for v.
2, 27
Suppose 0 = -15*k - 2*k - 4454. Let v = 4456/17 + k. Factor -v*d**2 + 0 - 10/17*d.
-2*d*(d + 5)/17
Suppose 3*k + x - 3623 + 3605 = 0, 4*k + 5*x - 68 = 0. Find z such that 1/2*z**k + 0 - 1/2*z**3 + 6*z = 0.
-3, 0, 4
Suppose 4*z = 2*i - 252, -2 = z - 3*z. Factor -38*y**3 + 42*y**3 + 5*y - i + 195*y - 76*y**2.
4*(y - 16)*(y - 2)*(y - 1)
Suppose -3*l = -911 - 604. Suppose 0 = l*j - 485*j - 40. Factor -32/3*v**4 - 28/3*v**3 + 0*v + 4/3*v**j + 0.
-4*v**2*(v + 1)*(8*v - 1)/3
Let j(c) = c. Let u be (-48)/(-21)*(-14)/(-4). Suppose u*k + 14 = 38. Let n(r) = r**2. Let q(f) = k*n(f) - 6*j(f). Suppose q(w) = 0. What is w?
0, 2
Let b(j) = 6*j**2 - 12*j - 18. Let o be b(3). Let z(d) be the third derivative of -4/15*d**5 - 9*d**2 - 1/3*d**4 + o*d**3 + 1/12*d**6 + 0 + 0*d. Factor z(r).
2*r*(r - 2)*(5*r + 2)
Let w = -301837/7 + 43121. Suppose -2/7*k**3 + w*k + 0 + 8/7*k**2 = 0. Calculate k.
-1, 0, 5
Let n(y) be the first derivative of -4 + 0*y - 15*y**2 - 9/2*y**5 - 235/8*y**4 - 160/3*y**3. Solve n(p) = 0.
-3, -2, -2/9, 0
Let m(a) be the second derivative of 1/108*a**4 + a**2 + 1/270*a**5 - 2/9*a**3 + 0 - 13*a. Let t(i) be the first derivative of m(i). Find o such that t(o) = 0.
-3, 2
Let j(a) be the third derivative of a**6/180 + a**5/12 + a**4/3 - 11*a**3 - 87*a**2. Let b(d) be the first derivative of j(d). Factor b(x).
2*(x + 1)*(x + 4)
Let t = 224 + -225. Let n be ((-28)/35)/(t/5 + -1). Determine q, given that 0*q + q**3 + n*q**2 + 0 + 1/3*q**4 = 0.
-2, -1, 0
Let n = 40285/8 + -201417/40. What is o in -n*o**3 - 4/5*o**2 - 1/5*o + 6/5 = 0?
-3, -2, 1
Let f = 53 - 47. Suppose 4 = f*r - 8. Factor -110*u**r - 4*u**5 - 64*u + 32*u**3 + 110*u**2.
-4*u*(u - 2)**2*(u + 2)**2
Suppose 263*r - 165*r - 575*r = 329*r. Factor -4*k**2 + r - 16/5*k.
-4*k*(5*k + 4)/5
Let o(y) = 4734*y + 4. Let r be o(0). Factor 13/7*p - p**2 - 6/7 + 1/7*p**r - 1/7*p**3.
(p - 2)*(p - 1)**2*(p + 3)/7
Suppose -4*a + 84 = 44. Let g be (252/6)/(-7) + a. Let 3/4*p**3 + p**g - 5/4*p**2 - 3/4*p + 1/4 = 0. What is p?
-1, 1/4, 1
Factor 4/5*k**2 - 536 - 516/5*k.
4*(k - 134)*(k + 5)/5
Let i(a) be the third derivative of a**6/40 + 107*a**5/5 - 429*a**4/8 - 819*a**2 + 1. Factor i(l).
3*l*(l - 1)*(l + 429)
Let c(q) be the third derivative of -2*q**2 + 0 + 26*q - 585/8*q**4 - 4225/14*q**3 - 1/280*q**6 + 129/140*q**5. Factor c(j).
-3*(j - 65)**2*(j + 1)/7
Let j be (2 - (-22)/(-5)) + 3. Let m = 39377 + -196884/5. Factor -4/5*k + 0*k**2 + 0 + m*k**4 + j*k**3.
k*(k - 1)*(k + 2)**2/5
Let n = 370956 - 1854778/5. Factor n*a**2 + 24*a + 360.
2*(a + 30)**2/5
Let t be (-2358)/(-99) - 6/(-33). Let r be (-9 - -6)*-2*2/t. Factor -1/4*z - 1/4*z**2 + r.
-(z - 1)*(z + 2)/4
Let o(w) = -5*w**2 - 30*w - 18. Let n(k) = 2*k**2 + 69 - 6*k**2 - 24*k - 84 - 5*k. Let h(z) = -6*n(z) + 5*o(z). Suppose h(f) = 0. Calculate f.
0, 24
Let b(q) = 3*q**2 + 24*q + 8. Let v be b(-10). Let d = v - 43. Factor 12*a**3 - d*a**3 - 8*a**2 + 15*a**3.
2*a**2*(a - 4)
Let v = 32 - 30. Factor 2*w**2 + 5*w**2 + 17*w + w + 4*w**2 - 14*w**v.
-3*w*(w - 6)
Let l(h) be the first derivative of h**8/1680 - h**7/420 - h**6/120 + 17*h**3 - 98. Let s(g) be the third derivative of l(g). Factor s(j).
j**2*(j - 3)*(j + 1)
Let u(o) be the first derivative of 2*o**3/27 + 134*o**2/9 - 544*o/9 - 1050. Factor u(v).
2*(v - 2)*(v + 136)/9
Suppose -12*d = 5*i - 44, -172*d + 177*d = 3*i - 2. Find r such that 0*r + 0 - 16/7*r**5 - 44/7*r**3 + 52/7*r**4 + 8/7*r**d = 0.
0, 1/4, 1, 2
Let l(u) be the first derivative of u**3/12 + 13*u**2/2 + 25*u + 9353. Suppose l(c) = 0. What is c?
-50, -2
Let f be (2/13 + (-38936)/40820)/(-2). Determine w so that 12/5*w**3 - f*w**4 - 14/5*w**2 + 16/5 - 12/5*w = 0.
-1, 1, 2, 4
Factor 590/3*k**2 - 2954/15*k + 4/15.
2*(k - 1)*(1475*k - 2)/15
Suppose -4 + 10 = 2*s. Let v = 551/31 + -1622/93. Factor 2*m + v*m**2 + s.
(m + 3)**2/3
Let d(n) be the first derivative of -n**4/18 - 22*n**3/27 + 19*n**2/3 - 10*n - 2863. Factor d(q).
-2*(q - 3)*(q - 1)*(q + 15)/9
Let j(k) be the third derivative of -2*k**6/15 + 91*k**5/15 - 65*k**4/6 - 44*k**3/3 + 43*k**2 + 48. Factor j(l).
-4*(l - 22)*(l - 1)*(4*l + 1)
Let q(n) = -2*n**2 - 34*n + 3. Let d be q(-17). Solve -h + d*h**2 + 6*h + 0*h**2 - 4 - 4*h**2 = 0.
1, 4
Let s be (-8)/(-12)*(-12)/(-2). What is b in 0*b**5 + 3*b**5 - s*b**4 - 2*b**5 - 10*b**3 + 13*b**4 = 0?
-10, 0, 1
Let m(v) be the third derivative of -v**5/150 + 2*v**4 - 119*v**3/15 + 241*v**2 + 1. Find c, given that m(c) = 0.
1, 119
Factor -2*o**3 + 17*o**2 + 3*o**2 - 95148*o + 16 + 95114*o.
-2*(o - 8)*(o - 1)**2
Let o(y) be the first derivative of 4/27*y**3 + 112/9*y + 58/9*y**2 + 50. Factor o(g).
4*(g + 1)*(g + 28)/9
Let g(c) be the second derivative of -c**9/9072 - c**8/560 - 29*c**3/2 + 3*c - 10. Let f(n) be the second derivative of g(n). Factor f(m).
-m**4*(m + 9)/3
Let a(d) = -13*d**4 - 16*d**3 - 12*d**2 + 16*d - 35. Let o(s) = -8*s**4 - 8*s**3 - 10*s**2 + 8*s - 18. Let f(c) = -6*a(c) + 10*o(c). Solve f(r) = 0 for r.
-1, 1, 3, 5
Let d(a) = -a - 6. Let o be d(-9). Suppose -o = j - 53. Find f, given that 23*f**2 - 14 + 35*f**2 - j*f**2 + 54*f = 0.
-7, 1/4
Let r be (-10*(-2)/25)/((-4)/(-10)). Find y such that 9*y**3 - 14*y**3 - 10*y - 2*y**3 - 15*y**r + 2*y**3 = 0.
-2, -1, 0
Suppose 27*d**3 + 123*d + 1298 + 294*d**3 - 1304 - 105*d**4 - 333*d**2 = 0. Calculate d.
2/35, 1
Let v(k) be the third derivative of -k**8/336 - 4*k**7/105 + k**6/6 - k**5/30 - 19*k**4/24 + 5*k**3/3 - 8*k**2 + 43*k + 6. Find f such that v(f) = 0.
-10, -1, 1
Let c(a) be the second derivative of a**7/84 - 31*a**5/40 - a**4/12 + 16*a**3 - 40*a**2 - 34*a - 6. Find i such that c(i) = 0.
-4, 1, 2, 5
Factor 100467/4 + 96*h**3 + 17568*h + 6693/2*h**2 + 3/4*h**4.
3*(h + 3)**2*(h + 61)**2/4
Let x be (15 - 0)*-3 - (-1 - -2). Let g = -46 - x. Factor g*y + 10*y**2 + 5*y**3 + 1199 - 1199 + 5*y.
5*y*(y + 1)**2
Let k(b) = 10*b**2 - 80*b - 65. Suppose -13*f - 5*f + 54 = 0. Let c(s) = 5*s**2 - 40*s - 30. Let x(v) = f*k(v) - 5*c(v). Suppose x(o) = 0. What is o?
-1, 9
Let p = 35/1999 + -4259974/5997. Let s = 711 + p. Suppose -s*u**2 + 0 - 2/3*u = 0. Calculate u.
-1, 0
Let 44*x**4 - 77*x**4 + 4 - 592*x**3 + 1200*x**2 - 832*x + 30 - 2 + 131*x**4 = 0. What is x?
2/49, 2
Suppose -23*g + 41 = -51. Let m be (-986)/(-1309) + (0 - g/22). Determine u so that -2/7*u - 2/7*u**2 + m = 0.
-2, 1
Let z(x) be the third derivative of 1/150*x**5 + 1/10*x**4 + 6*x**2 + 0*x - 16/15*x**3 - 4. Determine d, given that z(d) = 0.
-8, 2
Let z(b) be the first derivative of b**6/6 + 14*b**5/5 + 7*b**4 - 152*b**3/3 - 128*b**2 + 640*b - 1818. Factor z(f).
(f - 2)**2*(f + 4)**2*(f + 10)
Let c(m) = -m**2 - 256*m - 16126. Let k be c(-144). Suppose 741/7*v + 3/7*v**3 - 87/7*v**k - 1521/7 = 0. Calculate v.
3, 13
Suppose 3*h - 5*z + 6 = 2*h, 2 = 3*h - 5*z. Solve -9 - 11*s**2 - 6 - 15*s + 12 + h*s + 2*s**4 - s**3 = 0 for s.
-1, -1/2, 3
Suppose -30*z + 11*z + 32 = -3*z. Let c = 114 - 796/7. Determine p so that 11/7*p**4 + 27/7*p**z + 5/7*p - c + 31/7*p**3 = 0.
-1, 2/11
Suppose 2*n + 62 = 4*o, -2*n = 4*o + 35 - 13. Let g be (-741)/n + 2/(-7). Suppose -85*w**2 + 105*w**4 + 54*w + 26*w - 2 - g*w**3 - 45*w**5 - 18 = 0. What is w?
-1, 2/3, 1
Let a = -4863 - -4865. Let b(l) be the second derivative of 9*l - 1/48*l**4 + 0*l**a + 0 + 0*l**3. Determine n, given that b(n) = 0.
0
Let x be -5*(-2 - 20/(-25)). Suppose 0 = c, -x*c = 4*v - c - 12. Suppose -82*a + 82*a + 6*a**2 + a**v = 0. What is a?
-6, 0
Let l(r) = -186*r**3 + 1782*r**2 - 4833*r + 3273. Let u(a) = -187*a**3 + 1781*a**2 - 4836*a + 3272. Let v(w) = -5*l(w) + 6*u(w). Factor v(k).
-3*(k - 1)*(8*k - 33)**2
Find y such that 5/6*y**3 - 1375/2 + 1775/6*y - 215/6*y**2 = 0.
5, 33
Let w(k) be the first derivative of -2*k**6/3 + 8*k**5/5 - 8*k**3/3 + 2*