 o = -1410611 + 4231849/3. Find v, given that 75 + 94/3*v**2 + 1/3*v**4 - o*v**3 - 80*v = 0.
3, 5
Let a(d) be the second derivative of -5*d**4 - 7/4*d**5 - 800*d**2 + 1 + 1/6*d**6 + 43*d + 440/3*d**3. Find g such that a(g) = 0.
-5, 4
Let b be ((-3)/(-4))/1 + (-4797)/(-52). Suppose b = 5*r - 27. Factor 2*t**3 + 38*t**2 + 30*t**2 - 56*t**2 + r*t + 16 + 0*t**3.
2*(t + 2)**3
Let h(n) = -19*n - 5*n**2 + 9 - 8*n**2 - 25. Let c(u) = -8 - 6*u**2 + 9*u - u - 20*u + 2*u. Let m(f) = 5*c(f) - 2*h(f). Factor m(x).
-4*(x + 1)*(x + 2)
Let a be (0/(-5) + 1)*(-56)/(-84). Let f be -3 - (46/(-15) - (-27)/(-45)). Factor a + f*y - 2/3*y**2 - 2/3*y**3.
-2*(y - 1)*(y + 1)**2/3
Suppose 185*u**2 - 127*u + 562*u - 118*u - 380 - 5*u**3 - 117*u = 0. Calculate u.
-2, 1, 38
Factor -4/9*g**2 - 2815684/9 - 6712/9*g.
-4*(g + 839)**2/9
Let b = -5486 + 16148/3. Let v = b + 104. Find u, given that u**4 - v*u**3 - 2/3*u**2 - 1/3 - 1/3*u**5 + u = 0.
-1, 1
Let n = -7/4406400 - -13774414093/4842633600. Let h = n - -2/157. Solve 0 + 2/7*b - h*b**2 = 0.
0, 1/10
Let n = -56 - -85. Let r(x) = x**3 - 4*x**2 + 6. Let u be r(5). Factor 3*a + a + u*a**2 - n*a**2.
2*a*(a + 2)
Let l(a) = -a**5 + 3*a**4 + a**3 + a**2. Let f(m) = -3*m**5 + 207*m**4 + 4205*m**3 - 19995*m**2. Let j(q) = -f(q) + 5*l(q). Find n such that j(n) = 0.
-50, 0, 4
Let -4/13*b + 0 - 22/13*b**2 + 14/13*b**3 + 12/13*b**4 = 0. Calculate b.
-2, -1/6, 0, 1
Let w be (1/470)/((-36)/270). Let x = w + 5661/1316. Factor 0 + 12/7*b**3 + x*b**5 + 0*b**2 + 6*b**4 + 0*b.
6*b**3*(b + 1)*(5*b + 2)/7
Let c(s) be the second derivative of s**8/12320 - 13*s**6/1320 - 3*s**5/55 + 2*s**4/3 - s**3/2 - 14*s. Let q(x) be the third derivative of c(x). Factor q(r).
6*(r - 4)*(r + 1)*(r + 3)/11
Let a(g) be the third derivative of -g**8/5040 + g**7/315 - g**6/60 + 32*g**5/15 - 2*g**2 - 3*g. Let z(d) be the third derivative of a(d). Factor z(v).
-4*(v - 3)*(v - 1)
Suppose x = -27*x + 56. Factor 4*l**3 + 313 + 132*l - 214 - 72*l**x - 163.
4*(l - 16)*(l - 1)**2
Suppose b**2 + 499*b + 3*b**2 - 432 - 987*b + 580*b = 0. What is b?
-27, 4
Let u(d) = d + 20. Let c be u(-13). Suppose c*p**3 - 19*p**3 + 17*p**2 + 22*p**2 - 18*p - 51*p + 33 + 9*p**3 = 0. What is p?
1, 11
Let w(m) = -m**3 - 2*m**2 + 2*m - 2. Let b(k) = -144*k**2 - 952*k - 8. Let a(x) = -b(x) + 4*w(x). Factor a(q).
-4*q*(q - 40)*(q + 6)
Let p(l) be the third derivative of l**5/12 - 1345*l**4/24 - 225*l**3 + l**2 + 329. Determine t, given that p(t) = 0.
-1, 270
Suppose 6 = 46*s - 43*s. Let t = 8289/3784 - 3/344. Factor t + 30/11*l**s - 48/11*l - 6/11*l**3.
-6*(l - 2)**2*(l - 1)/11
Let l(j) be the third derivative of -11/84*j**4 + 0 - 16*j**2 + 0*j + 1/210*j**5 + 10/21*j**3. Let l(s) = 0. What is s?
1, 10
Let y(u) = 11*u + 184. Let r be y(-15). Let 8*s**2 - 3*s**5 - 22*s**4 - r*s**2 + 25*s**4 + 12*s**3 - s**2 = 0. What is s?
-2, 0, 1, 2
Let q(u) = -u**2 + 6*u - 2. Suppose 10*t + 2 = 102. Let r(c) = 2*c**2 - 11*c + 4. Let x(p) = t*q(p) + 6*r(p). Let x(o) = 0. Calculate o.
1, 2
Let o(j) = 37*j - 9. Let k be o(1). Suppose 27 + 52 + 310*p - k*p**3 + 122*p**3 + 21 - 336*p**2 - 8*p**4 = 0. What is p?
-1/4, 2, 5
Let v(j) be the first derivative of -1/3*j**2 + 78 - 1/6*j**4 - 4/9*j**3 + 0*j. Factor v(s).
-2*s*(s + 1)**2/3
Let w(k) be the first derivative of -k**5/5 - 11*k**4 - 563*k**3/3 - 860*k**2 - 1200*k + 1083. Factor w(r).
-(r + 1)*(r + 3)*(r + 20)**2
Let n(v) = -v**2 + 22*v + 4. Let q be n(0). Let r be (15/18)/(2 - (-2)/q). Solve -1/3*o**3 + 1/3*o - r*o**2 + 0 + 1/3*o**4 = 0.
-1, 0, 1
Let y be (-2 - -1)/(-11)*1791/597. Determine w so that 5/11*w**2 + 3/11*w - 4/11 - 1/11*w**4 - y*w**3 = 0.
-4, -1, 1
Let i be (-145)/(-609)*38/95. Factor 4/21 + 6/7*g**2 + 10/21*g**3 + i*g**4 + 2/3*g.
2*(g + 1)**3*(g + 2)/21
Let w(v) be the first derivative of -v**6/3 + 31*v**5/15 - 7*v**4/2 + 16*v**2/3 - 5*v - 6746. What is m in w(m) = 0?
-5/6, 1, 3
Solve 0 - 637*v**4 - 37*v**2 + 7/4*v + 343/4*v**5 + 525/2*v**3 = 0 for v.
0, 1/7, 7
Let l(i) = 3*i + 55. Let n be l(-10). Let x be 5/3*(3 + (-65)/n). Factor 4 - 10/3*h - x*h**2.
-2*(h - 1)*(h + 6)/3
Let x(z) be the third derivative of 0 - 13*z**2 - 6*z + 20/3*z**3 + 11/12*z**4 + 1/60*z**6 - 4/15*z**5. Factor x(r).
2*(r - 5)*(r - 4)*(r + 1)
Let r(m) = -11*m + 60. Let f be r(-3). Let t = f + -93. Determine g, given that -4/5*g**2 - 4/5*g**3 + 0*g + t = 0.
-1, 0
Let k be (-4806)/8 - (-79)/(-316). Let o = 1811/3 + k. Suppose 20/3*j**4 - o*j - 56/3*j**3 + 16*j**2 - 4/3 = 0. Calculate j.
-1/5, 1
Let v be 1252/(-15024) + ((-292)/(-72) - 2)/(4/6). Factor 2/7*u**v + 16/7*u + 2/7*u**4 + 0 - 20/7*u**2.
2*u*(u - 2)*(u - 1)*(u + 4)/7
Factor -1130*v**3 - 320 + 3*v**2 + 320*v - v**2 - 1122*v**3 + 2247*v**3 + 3*v**2.
-5*(v - 8)*(v - 1)*(v + 8)
Let -1552/13*t - 2/13*t**4 - 301086/13*t**2 + 1552/13*t**3 + 301088/13 = 0. What is t?
-1, 1, 388
Let o(v) be the second derivative of v**4/3 + 20*v**3/3 + 839*v. Determine s so that o(s) = 0.
-10, 0
Let s be (((-1)/6)/(4/16*2))/(100/(-120)). Factor 6/5*a**2 + 0 + s*a**4 - 2/5*a - 6/5*a**3.
2*a*(a - 1)**3/5
Factor -15*r**2 + 3/7*r**3 + 69/7*r + 17457/7.
3*(r - 23)**2*(r + 11)/7
Factor 0 - 71/8*l - 1/8*l**3 - 9*l**2.
-l*(l + 1)*(l + 71)/8
Let q(v) be the third derivative of -v**6/240 + 11*v**5/40 - 37*v**4/16 - 145*v**3/12 + 2919*v**2. Factor q(b).
-(b - 29)*(b - 5)*(b + 1)/2
Let y be (9 - (-110)/(-15)) + (-2135)/(-15). Let v be ((-1212)/y + 9)*4. Determine r so that -v*r + 0*r**2 + 1/3*r**3 - 2 = 0.
-2, -1, 3
Let p(w) be the third derivative of 5/3*w**4 - 29 + 55/2*w**3 + 5*w**2 - 1/12*w**5 + 0*w. Factor p(j).
-5*(j - 11)*(j + 3)
Suppose 70609 - 70563 = 23*z. Determine o so that 23/7*o - z + 5/7*o**5 - 4*o**3 + 46/7*o**2 - 32/7*o**4 = 0.
-1, 2/5, 1, 7
Let d = -204 + 206. Factor -90*n**2 + 15*n + 5*n**4 + 81*n**d - 15*n**3 + 4*n**4.
3*n*(n - 1)*(n + 1)*(3*n - 5)
Let b(o) be the first derivative of 2*o**5/25 + 11*o**4/10 - 2*o**3/15 - 11*o**2/5 + 4924. Factor b(w).
2*w*(w - 1)*(w + 1)*(w + 11)/5
Determine d so that -3/4*d**5 + 0 + 21/2*d**4 - 75/4*d**3 + 0*d + 9*d**2 = 0.
0, 1, 12
Let s(p) be the third derivative of p**6/120 - 69*p**5/4 + 119025*p**4/8 - 13687875*p**3/2 - 179*p**2 + 8. Determine a so that s(a) = 0.
345
Let l be (2/5)/((-25)/(6500/(-104))). What is u in -1/6*u**2 + l + 1/6*u = 0?
-2, 3
Let b(g) be the first derivative of 2*g**5/5 + 255*g**4/2 + 508*g**3/3 - 5377. Factor b(h).
2*h**2*(h + 1)*(h + 254)
Let n(m) be the first derivative of -72 + 13/7*m**2 - 2/21*m**3 + 4*m. Suppose n(g) = 0. Calculate g.
-1, 14
Let z be (-37)/(666/(-36)) + 11 - 13. Suppose 0 + z*h + 21/4*h**4 + 1/2*h**3 + 0*h**2 + 19/4*h**5 = 0. Calculate h.
-1, -2/19, 0
Let c(d) be the first derivative of -1/2*d**4 + 39 + 2/25*d**5 + 0*d + 0*d**2 + 2/5*d**3 + 1/15*d**6. Factor c(t).
2*t**2*(t - 1)**2*(t + 3)/5
Let h(k) be the first derivative of -k**7/840 + k**6/180 - k**5/120 - 17*k**3 - 57. Let v(p) be the third derivative of h(p). Factor v(q).
-q*(q - 1)**2
Let n(g) be the second derivative of 11/30*g**4 - 274*g + 37/15*g**3 + 12/5*g**2 + 0. Factor n(l).
2*(l + 3)*(11*l + 4)/5
Let b(i) = 3*i**3 - i**2 - 1. Let a(s) = -2602 - 113*s**2 + 5040*s - 5*s**3 + 3*s**3 + 36*s**3 + 250*s**2 + 139*s**2. Let y(w) = 2*a(w) - 20*b(w). Factor y(o).
4*(o + 36)**2*(2*o - 1)
Let b(w) be the first derivative of w**6/24 - 9*w**5/10 + 7*w**4 - 24*w**3 + 32*w**2 - 851. Factor b(r).
r*(r - 8)*(r - 4)**2*(r - 2)/4
Let -89210*d**3 + 5*d**4 - 405*d**2 + 89210*d**3 = 0. What is d?
-9, 0, 9
Let x = 2417/1044 - 187/348. Find p such that -2/9*p**2 - 32/9 + x*p = 0.
4
Suppose 0 = -21*w + 57 + 48. Let m = -4 + 6. Solve -m*h**3 + 8*h**4 - 27*h**w + 33*h**5 + 4*h**3 = 0 for h.
-1, -1/3, 0
Let o(f) = 25*f**4 + 35*f**3 - 45*f**2 + 95*f - 50. Let j be 0/2 - (-148 - 2)/5. Let s(d) = d**4 + d**2 + d - 1. Let m(v) = j*s(v) - o(v). Solve m(q) = 0.
1, 4
Let l be (176/(-7) + 2)/(((-309738)/(-33264))/(-247)). Find x such that -108/19*x**2 + 1944/19*x - l + 2/19*x**3 = 0.
18
Let d = 203083 - 203077. Factor -14/5*s**2 + d*s - 18/5 + 2/5*s**3.
2*(s - 3)**2*(s - 1)/5
Suppose -183 = -4*j + 3*u, 5*j - 3*u - 200 = -5*u. Let t = 45 - j. What is z in -449*z - z**3 + t*z**2 + 449*z = 0?
0, 3
Let t = 154784 + -464162/3. Find g such that t + 5/3*g**2 + 35*g = 0.
-19, -2
Let p = 156 - 151. Let k be 7/(-14)*4 + 0 + p. Dete