/44429 + -91035033/177716. Let v = b - -519. Factor -9/2 - 75/4*q + v*q**2.
3*(q - 3)*(9*q + 2)/4
Let b be 5192/108 + 446/(-6021). Factor 0 - b*t**3 - 38/3*t + 8/3*t**4 - 50*t**2.
2*t*(t - 19)*(2*t + 1)**2/3
Let s be -8*(-19)/36 - (-4)/(-18). Factor -3*k**5 + 31*k**s + 29*k**4 - 6*k - 45*k**4 + 21*k**2 - 27*k**3.
-3*k*(k - 2)*(k - 1)**3
Let r = 8 - 11. Let w be r/(-7) - (-88)/56. Factor 4*o**w - 91 + 99 + 2*o - 14*o.
4*(o - 2)*(o - 1)
Let x(l) = -5 - 8*l**4 + l**5 + 0 + 6*l**5 + 8*l + 1 - 34*l**2 - 2 + 21*l**3. Let w(t) = t**5 - 2*t**2 - 1. Let p(d) = -6*w(d) + x(d). Factor p(s).
s*(s - 4)*(s - 2)*(s - 1)**2
Suppose 0 = 2*q - t + 5*t - 2916, 4*q - 5796 = 4*t. Factor 966*b + 186*b + 129*b**2 + 3*b**3 - q - 380*b + 548*b.
3*(b - 1)*(b + 22)**2
Suppose 0*p + 4687 = p + g + 4674, -13 = -g. What is u in 0 + 3/4*u**4 + 0*u**2 + 1/4*u**5 + p*u**3 + 0*u = 0?
-3, 0
Suppose 18/7*p**2 + p**3 - 8/7 - 4/7*p**4 - 4*p = 0. Calculate p.
-2, -1/4, 2
Let 1/3*p**4 + 92/3*p**3 - 2944*p + 3072 + 1924/3*p**2 = 0. What is p?
-48, 2
Let x(r) = -1564*r + 347211. Let d be x(222). Let -7/6*s**2 - 1/6*s**d - 8/3*s - 2 = 0. Calculate s.
-3, -2
Factor 1/4*k**2 - 149/2 + 147/4*k.
(k - 2)*(k + 149)/4
Let z(w) be the second derivative of -200/7*w**7 - 44*w**6 - 123/20*w**5 + 0*w**3 - 3 - 1/4*w**4 - 52*w + 0*w**2. Factor z(x).
-3*x**2*(x + 1)*(20*x + 1)**2
Let y(n) be the first derivative of -5*n**4/4 + 35*n**3 - 140*n**2 + 180*n - 3237. Determine o, given that y(o) = 0.
1, 2, 18
Let b = -474 - -477. Determine m so that -3*m**4 - 13*m - 5*m - 112*m**b + 124*m**3 - 3*m**2 = 0.
-1, 0, 2, 3
Let u(w) = -9*w**4 + w**3 + 119*w**2 + 127*w - 14. Let p(j) = -j**4 - 3*j**3 + j**2 + j - 2. Let r(k) = -14*p(k) + 2*u(k). Find z such that r(z) = 0.
-2, 0, 15
Let h(j) be the third derivative of -1/24*j**5 + 21 + 0*j - 1/8*j**4 + 3*j**3 - 1/480*j**6 + 2*j**2. Factor h(f).
-(f - 2)*(f + 6)**2/4
Let -40/3*a + 28 - 1/3*a**2 = 0. Calculate a.
-42, 2
Let l(d) = -10*d**4 - 22*d**3 - 73*d**2 - 20*d + 1. Let q(x) = -x**4 - 8*x**2 + 1. Let z(n) = -l(n) + 5*q(n). Factor z(k).
(k + 1)**2*(k + 2)*(5*k + 2)
Let z = -1674169/9 + 186019. Find t such that 2/3*t**2 + z - 2/3*t - 2/9*t**3 = 0.
1
Factor 0 + 0*v + 4/9*v**3 + 5956/9*v**2.
4*v**2*(v + 1489)/9
Factor -342/5 + 24*m - 2/5*m**2.
-2*(m - 57)*(m - 3)/5
Let v(g) be the first derivative of -4*g**5/5 + 13*g**4 - 44*g**3/3 - 26*g**2 + 48*g + 282. Find o such that v(o) = 0.
-1, 1, 12
Let g = 994951 - 2984852/3. Factor 0*x**2 + 0*x - g*x**3 + 0 - 1/3*x**4 + 2/3*x**5.
x**3*(x - 1)*(2*x + 1)/3
Suppose 0 = -i + 5*t + 2 + 2, -3*i = t - 76. Let 33889*l**2 - i - 33886*l**2 - 39 + 60*l = 0. What is l?
-21, 1
Let t(g) be the second derivative of 115*g - 16/51*g**3 + 12/17*g**2 + 7/102*g**4 - 1/170*g**5 + 0. Factor t(i).
-2*(i - 3)*(i - 2)**2/17
Factor 1064/3*p + 4*p**2 + 704/3.
4*(p + 88)*(3*p + 2)/3
Suppose -40233*m = -40678*m + 760 + 107 + 23. Factor 64/5 - 36/5*n + 2/5*n**m.
2*(n - 16)*(n - 2)/5
Let x = -27082 - -189584/7. Let i be (3/5)/((-1)/(-5)). Factor -2/7*p**2 - x*p + 2/7*p**i - 6/7.
2*(p - 3)*(p + 1)**2/7
Let g(d) be the third derivative of -d**8/448 - d**7/70 + d**6/32 + 3862*d**2. Factor g(y).
-3*y**3*(y - 1)*(y + 5)/4
Let a(n) be the second derivative of -n**4/48 - 13*n**3/12 + 15*n**2 - 1083*n. Find d such that a(d) = 0.
-30, 4
Let y(w) = -3*w**2 + w - 2. Let i(j) = j**2 + 1. Suppose -3*a = -2*n - 7*a, -3*n = -2*a - 24. Let h(v) = n*i(v) + 3*y(v). Factor h(l).
-3*l*(l - 1)
Suppose -2/9*c**3 - 96 - 6*c**2 - 48*c = 0. Calculate c.
-12, -3
What is v in 14*v**5 + 954/5*v**3 - 762/5*v**4 + 2098/5*v**2 + 96/5*v - 216/5 = 0?
-1, -2/5, 2/7, 3, 9
Let i(z) be the second derivative of 135*z**5/4 - 257*z**4/4 + 14*z**3 + 6*z**2 + 2292*z. Factor i(u).
3*(u - 1)*(9*u - 2)*(25*u + 2)
Let 5265/2*j**2 + 1125/2*j**3 + 21465/4*j + 165/4*j**4 + 16281/4 - 3/4*j**5 = 0. Calculate j.
-3, 67
What is b in 26559621/2 + 8543/3*b**3 - 3913173/2*b + 31755*b**2 + 239/6*b**4 + 1/6*b**5 = 0?
-87, 11
Let r(u) be the first derivative of -2*u**3 - 89*u**2 + 60*u - 1786. Suppose r(p) = 0. Calculate p.
-30, 1/3
Let f(b) be the first derivative of -233 + 16/3*b - 2/9*b**3 - 2/3*b**2. Factor f(w).
-2*(w - 2)*(w + 4)/3
Let b = -1/198624 - -397261/2582112. Determine f, given that -10/13*f**2 - b*f + 0 = 0.
-1/5, 0
Let p be (-12)/(-1) + ((-138)/(-8))/((-354)/236). Factor -1/4*v**2 + 2 + p*v.
-(v - 4)*(v + 2)/4
Let w be 2030/350 - 12/(-10). Suppose 3*s - 5 = 10. Determine f so that -w*f**3 + 4*f**4 + 3*f - 2*f**3 + 6 - 12*f**2 + 2*f**4 + 3*f**3 + 3*f**s = 0.
-2, -1, 1
Let i = 57 + -37. Suppose -23*c = -i*c. Factor -q - 2 - 2*q**2 + 3*q**2 + c*q + 0*q**2.
(q - 2)*(q + 1)
Suppose -5*k - 4*w - 24 = 0, 61*k = 58*k + 5*w + 30. Factor -6/5 - 12/5*j**2 + 2/5*j**4 + 16/5*j + k*j**3.
2*(j - 1)**3*(j + 3)/5
Let y(r) be the first derivative of 33/4*r**4 - 33/4*r**2 - 3*r - 11/4*r**6 - 126 + 2*r**3 - 3/5*r**5. Determine f, given that y(f) = 0.
-1, -2/11, 1
Factor -63*p**2 - 3*p**3 - 25703*p - 50 - 2*p**3 + 25598*p + 3*p**2.
-5*(p + 1)**2*(p + 10)
Let v = -91 - -93. Determine a, given that -355*a**2 - 18*a + 2*a - 20*a**4 + 4*a**5 + 375*a**v + 12*a**3 = 0.
-1, 0, 1, 4
Let a(k) be the second derivative of -294*k - 13/22*k**4 + 10/11*k**3 + 2/11*k**5 - 1/55*k**6 - 8/11*k**2 + 0. Find x such that a(x) = 0.
2/3, 1, 4
Let o(j) be the second derivative of -j**7/21 + 17*j**6/90 + 33*j**5/20 + 22*j**4/9 + 2*j**3/3 - 2085*j. Suppose o(g) = 0. What is g?
-2, -1, -1/6, 0, 6
Let w be 157/66 + (8 - (1270/110 - 3)). Factor 25/6*a - w*a**2 - 13/6 - 1/6*a**3.
-(a - 1)**2*(a + 13)/6
Let i(h) = -11*h**2 - 8*h + 1. Let y(g) = -63*g**2 - 207*g + 1194. Let l(j) = -6*i(j) + y(j). Determine k so that l(k) = 0.
9, 44
Let a be (-2367)/54 + (251 - 207). Solve -1/6*q**2 + 5/3*q - a*q**3 - 4/3 = 0 for q.
-4, 1, 2
Let d(x) be the first derivative of 0*x - 15 + 1/3*x**3 + 121/30*x**5 + 11/6*x**4 + 9/2*x**2. Let k(n) be the second derivative of d(n). Solve k(t) = 0 for t.
-1/11
Let k(y) be the second derivative of -y**5/60 - 31*y**4/144 - 5*y**3/36 - 143*y**2/2 + y + 72. Let d(s) be the first derivative of k(s). Factor d(x).
-(x + 5)*(6*x + 1)/6
Let u be ((-5)/25)/(-1) + (-86 - -86). Factor 0 + 1/5*s**5 + 0*s + 1/5*s**4 - u*s**3 - 1/5*s**2.
s**2*(s - 1)*(s + 1)**2/5
Let b = -64307 + 64309. Factor -3/7*p**3 - 3/7*p**b + 27/7*p + 27/7.
-3*(p - 3)*(p + 1)*(p + 3)/7
Let g(p) be the first derivative of -59 + 16*p**2 + 60*p + 4/3*p**3. Solve g(h) = 0.
-5, -3
Let m(c) be the second derivative of c**5/160 - 3*c**4/4 + 71*c**3/48 + 30*c - 9. Let m(t) = 0. What is t?
0, 1, 71
Let w(k) be the second derivative of k**4/6 - 70*k. Let f(a) = -3*a**2 + 32*a + 31. Let c(j) = -f(j) - 2*w(j). Find q such that c(q) = 0.
-31, -1
Suppose 4*x = 4*q + x - 1732, 0 = -5*q + x + 2165. Let z = -431 + q. Determine c, given that z - 1/2*c**3 - 1/2*c**2 + 2*c = 0.
-2, -1, 2
Let y(u) be the third derivative of -1/60*u**5 + 0*u**3 + 0*u + 3 + 40*u**2 + 3/8*u**4. Determine l, given that y(l) = 0.
0, 9
Factor -56782*k**2 - 4*k**4 + 4934*k**3 + 5279*k**3 - 18279472*k - 267914*k**2 - 18836*k**3 + 6655*k**3 - 51968964.
-4*(k + 3)*(k + 163)**3
Suppose -3 = 2*m - 3*v - 32, 3*v = -3. Suppose -5*r + 35 = 5*n, 0 = r - 4*n + 3*n - m. Factor k + 16*k**2 - 8*k - r*k**3 + 0*k + 2*k**4 - k.
2*k*(k - 2)**2*(k - 1)
Let u = 10 - 8. Let -6 + 5*w**u + 57*w - 62*w - 24 = 0. What is w?
-2, 3
Find y such that -220/17 - 210/17*y**2 - 2/17*y**4 + 38/17*y**3 + 394/17*y = 0.
1, 2, 5, 11
Let s(j) = -46163*j - 738604. Let z be s(-16). Factor -35*c**z + 2*c + 0 + 25/2*c**5 + 69/2*c**3 - 14*c**2.
c*(c - 1)**2*(5*c - 2)**2/2
Let g(p) be the first derivative of 1/21*p**3 - 15/14*p**2 + 0*p + 57. Determine a so that g(a) = 0.
0, 15
Let o(m) be the second derivative of 0*m**2 + 1/5*m**6 + 0*m**3 + 1/42*m**7 + 9/20*m**5 + 1/3*m**4 + 82*m + 0. Factor o(h).
h**2*(h + 1)**2*(h + 4)
Let l(c) be the second derivative of -c**5/50 + 11*c**4/15 - 41*c**3/15 + 4*c**2 - 4120*c - 1. Factor l(d).
-2*(d - 20)*(d - 1)**2/5
Let l(k) be the first derivative of -5*k**4/4 + 650*k**3/3 + 1330*k**2 + 2680*k - 3291. What is d in l(d) = 0?
-2, 134
Suppose -2/15*n**5 + 0*n - 16*n**4 - 78/5*n**3 + 476/15*n**2 + 0 = 0. Calculate n.
-119, -2, 0, 1
Let z(d) be the second derivative of -45/2*d**2 + 7*d**3 + 0 - d + 1/4*d**4. S