 v = 23740 + -23737. Let y(x) be the second derivative of -2/11*x**v - 21*x + 0 + 19/55*x**6 + 9/22*x**5 + 0*x**2 + 1/11*x**7 + 1/22*x**4. Factor y(m).
6*m*(m + 1)**3*(7*m - 2)/11
Let z(q) = 105*q**2 - 1490*q - 6455. Let l(n) = 16*n**2 - 213*n - 922. Let p(w) = -20*l(w) + 3*z(w). Factor p(m).
-5*(m + 5)*(m + 37)
Let o(p) be the first derivative of -p**5/10 + p**4 + 19*p**3/6 + 5*p**2/2 - 595. Factor o(i).
-i*(i - 10)*(i + 1)**2/2
Let f(i) be the third derivative of -i**7/1785 - 47*i**6/510 - 368*i**5/85 + 47*i**4/102 + 2209*i**3/51 - 4742*i**2. Suppose f(c) = 0. Calculate c.
-47, -1, 1
Suppose 16 = -33*u + 41*u. Determine y, given that 5*y**5 + 41*y**2 - 20*y**3 - 4*y**4 - 6*y**4 - 13*y**u + 12*y**2 = 0.
-2, 0, 2
Factor -92*l**2 - 91*l**2 + 183 + 181*l**2 + 45 + 26*l.
-2*(l - 19)*(l + 6)
Let s(k) be the second derivative of -64*k**2 - 28/3*k**3 + 1/3*k**4 - 60*k + 0. What is b in s(b) = 0?
-2, 16
Let g be 11/(2640/36)*(3 + 13/(-39)). Suppose 12/5 - 2/5*f**2 + g*f = 0. Calculate f.
-2, 3
Let x be (0 + 162/6)/(0 - 1). Let w be 72/x*54/(-60). Factor 2/5*k**2 + w + 2*k.
2*(k + 2)*(k + 3)/5
Let 5/2*x**3 - 95*x**2 + 14400 + 240*x = 0. What is x?
-10, 24
Let a(g) = -2*g**3 + g**2 - 2*g - 3. Suppose 5*m + 7 = 2*z + 14, 2*z - 3 = -5*m. Let n be a(z). Factor -47 - 8 - 17 + 9*q - n*q**2 + 15*q.
-2*(q - 6)**2
Let -10/9 - 2*l**2 + 92/9*l = 0. Calculate l.
1/9, 5
Let f = -3163523/6 + 527256. Factor -1/6*h**3 + f*h - 1/3*h**2 - 5/3.
-(h - 2)*(h - 1)*(h + 5)/6
Factor 2/3*l**5 + 0 + 28/3*l**3 + 6*l**4 + 0*l + 0*l**2.
2*l**3*(l + 2)*(l + 7)/3
Let h(b) be the first derivative of -2*b**3/45 - 61*b**2/5 + 368*b/15 + 338. Suppose h(k) = 0. Calculate k.
-184, 1
Let h(x) be the first derivative of 5*x**3/6 - 335*x**2/4 - 170*x - 1599. Solve h(l) = 0 for l.
-1, 68
Let q(m) be the first derivative of -16/3*m**3 - 14*m**2 + 19 - 43*m - 1/3*m**4. Let d(u) be the first derivative of q(u). Suppose d(l) = 0. What is l?
-7, -1
Suppose -13*z = -17*z + 172. Suppose 4*u + 5 = 17. Factor -44*r - 121*r**4 + r**3 + 117*r**2 + z*r**3 + 0*r**u + 4.
-(r - 1)*(r + 1)*(11*r - 2)**2
Determine b, given that -46/3 - 142*b**2 - 251/3*b + b**5 - 280/3*b**3 - 56/3*b**4 = 0.
-2, -1, -1/3, 23
Let x = 608 + -612. Let w be (-2)/x*(-1)/(-2). Find r, given that w*r**2 - 5*r + 25 = 0.
10
Factor -255*p - 210 - 50*p**2 - 10*p + 105*p**3 + 75*p**3 - 175*p**3.
5*(p - 14)*(p + 1)*(p + 3)
Let w(y) be the second derivative of -23/90*y**5 + 0*y**2 - 3 + 4/9*y**4 + 0*y**3 - 1/135*y**6 + 19*y. Factor w(g).
-2*g**2*(g - 1)*(g + 24)/9
Let n(j) be the first derivative of -6/5*j**2 + 3/20*j**4 + 232 + 0*j**3 + 0*j. Solve n(f) = 0.
-2, 0, 2
Let j(q) = -35*q**2 + 16569*q + 6662. Let h(m) = 192*m**2 - 91120*m - 36640. Let t(a) = 5*h(a) + 28*j(a). Factor t(i).
-4*(i - 417)*(5*i + 2)
Let b = -549094 - -549337. Factor 270*j + 111/4*j**2 + 3/4*j**3 + b.
3*(j + 1)*(j + 18)**2/4
Suppose 0 = -12*w + 43*w - 2077. Suppose 56*a - w = 45. Find y such that -1/7*y + 1/7*y**a + 0 = 0.
0, 1
Suppose 41*z - 36*z = 5. Factor 7 + 52*h + 2998*h**3 + z - 2978*h**3 + 64*h**2.
4*(h + 1)*(h + 2)*(5*h + 1)
Let g(x) = x**3 - 57*x**2 - 425*x + 14700. Let j be g(60). Factor -1/2*l**3 + j + 9*l + 17/2*l**2.
-l*(l - 18)*(l + 1)/2
Suppose 0*v + 2/5*v**4 - 148/5*v**2 - 14*v**3 + 0 = 0. Calculate v.
-2, 0, 37
Let c(b) = -b**2 + 416*b + 82055. Let f be c(-146). Let 0*n + 0 - 2/13*n**4 + 0*n**2 + 6/13*n**f = 0. What is n?
0, 3
Let x = -85110 - -595786/7. Find h, given that -4/7*h**2 - x*h - 12/7 = 0.
-3, -1
Factor 606841/6 + 1/6*i**2 + 779/3*i.
(i + 779)**2/6
Let z be -119 + (-28478)/(-232) + 6/(-2). What is n in -75/4*n**2 - 3/4*n + z*n**3 + 75/4 = 0?
-1, 1, 25
Let l = -327263 + 327266. Determine f, given that -1251/2*f**2 - 30 - 147/2*f**4 - 246*f - 483*f**l = 0.
-5, -1, -2/7
Let y(l) = -7*l**2 + 1328*l - 88433. Let i(w) = -22*w**2 + 3983*w - 265293. Let c(o) = -2*i(o) + 7*y(o). Factor c(s).
-5*(s - 133)**2
Let h(d) = -63*d**2 - 83*d**3 - 15*d - 13*d + 44*d**3 - d**4. Let v(r) = 2*r**4 + 38*r**3 + 62*r**2 + 28*r. Let s(j) = 2*h(j) + 3*v(j). Factor s(f).
4*f*(f + 1)**2*(f + 7)
Let -q + 0 - 3/2*q**2 - 1/2*q**3 = 0. Calculate q.
-2, -1, 0
Suppose 19*v - 637 = 902. Suppose 37*g - v + 7 = 0. Factor 1/6*j**g + 0*j + 0 - 1/6*j**3.
-j**2*(j - 1)/6
Let u = 6637/786 + -3122/393. Factor -u*m**2 + 3/2*m + 0.
-m*(m - 3)/2
Let j be (-35784)/(-5964) + (1 - 1*7). Let f(q) be the third derivative of 1/54*q**4 + 36*q**2 + 1/270*q**5 + 0*q + 0*q**3 + j. Suppose f(g) = 0. Calculate g.
-2, 0
Let j(w) be the first derivative of -2*w**3/69 - 409*w**2/23 + 820*w/23 - 2409. Determine d, given that j(d) = 0.
-410, 1
Let t(d) be the second derivative of -d**4/6 - 28*d**3/3 - 160*d**2 - 637*d. Factor t(f).
-2*(f + 8)*(f + 20)
Factor u**2 - 1/3*u**4 - 10/3 + 5/3*u**3 - 13/3*u.
-(u - 5)*(u - 2)*(u + 1)**2/3
Suppose 2*v + 57 = 63. Factor -2*t**4 + 65*t**3 - 123*t**v - 20*t**2 + 72*t**3.
-2*t**2*(t - 5)*(t - 2)
Suppose -8 = -2*n + 2. Suppose p = n + 4. Factor 90*t**2 - 4*t**3 + p*t**3 - 75*t**2.
5*t**2*(t + 3)
Suppose -5*r + 29 = -4*k, 27 = 3*k + r + 25. Let f be (k/4)/((-85)/680). Find a such that -4/3*a**f + 4/3*a**4 + 0 - 2/3*a**3 + 2/3*a**5 + 0*a = 0.
-2, -1, 0, 1
Let y(u) = 35*u - 286. Let t be y(9). Suppose -73 - t = -34*x. Factor 0 - 3/2*p + 1/4*p**x - 1/4*p**2.
p*(p - 3)*(p + 2)/4
Let m(o) be the first derivative of -o**4/34 - 190*o**3/51 - 276*o**2/17 + 931. Factor m(g).
-2*g*(g + 3)*(g + 92)/17
Suppose 22*q - 45*q - 52*q = 0. Find s, given that 0 + 1/7*s**4 - 1/7*s**3 + 0*s**2 + q*s = 0.
0, 1
Let j(m) be the second derivative of 13*m**7/14 + 457*m**6/10 + 1977*m**5/10 + 35*m**4 - 836*m**3 - 384*m**2 + 45*m + 9. Let j(l) = 0. Calculate l.
-32, -2, -2/13, 1
What is f in -768/7*f - 774/7 + 6/7*f**2 = 0?
-1, 129
Let p = -3984 + 47809/12. Let k(o) be the second derivative of 26*o + 3/2*o**2 - 2/3*o**3 + p*o**4 + 0. Factor k(i).
(i - 3)*(i - 1)
Let r be (-8)/(-3)*12/16. Suppose r*t + 20 = u + 2*u, 4*u - 2*t = 28. Suppose 2*p**2 - u*p + 2*p**2 - 6 - 6*p**2 = 0. Calculate p.
-3, -1
Let i(y) = -7*y**4 - 162*y**3 + 157*y**2 + 2*y + 2. Let z(u) = -190*u**4 - 4375*u**3 + 4235*u**2 + 55*u + 55. Let v(x) = 55*i(x) - 2*z(x). Solve v(a) = 0.
-33, 0, 1
Let l(k) be the first derivative of k**6/1440 - k**5/240 - 22*k**3/3 + 2*k + 111. Let n(a) be the third derivative of l(a). Factor n(z).
z*(z - 2)/4
Let q = 478711/50 - 9574. Let f(o) be the second derivative of 0 - 7/15*o**4 - 1/30*o**6 + q*o**5 + 4/15*o**3 - 12*o + 0*o**2. Factor f(y).
-y*(y - 2)**2*(5*y - 2)/5
Let q = 241525 + -4105923/17. Find m, given that -8/17*m + q*m**3 + 0 + 0*m**2 = 0.
-2, 0, 2
Find c, given that -33696 + 8/13*c**5 - 335216/13*c**2 + 23152/13*c**3 + 141120*c - 706/13*c**4 = 0.
1/4, 18, 26
Let n be 6/(-20 - -8)*14*8/(-35). Factor 1/5*v**2 + n + 6/5*v.
(v + 2)*(v + 4)/5
Let d(w) be the second derivative of 23/40*w**6 + 21/20*w**5 + 6 + 0*w**2 + 1/4*w**3 + 13/16*w**4 - 2*w + 3/28*w**7. Determine z so that d(z) = 0.
-2, -1, -1/2, -1/3, 0
Let l be 44/1 - 57232/1568. Factor 0*q + 49/8*q**5 + q**2 + 0 + l*q**3 + 63/4*q**4.
q**2*(q + 2)*(7*q + 2)**2/8
Let a(u) be the third derivative of 1/72*u**4 - 1/360*u**6 - 1/9*u**3 + 0*u - 1/630*u**7 + 1/60*u**5 + 29*u**2 + 0. Factor a(s).
-(s - 1)**2*(s + 1)*(s + 2)/3
Let m(u) = 2*u**2 - 21*u - 1269. Let n be m(31). Solve 0*o - 4/5*o**n + 4/5 = 0 for o.
-1, 1
Let l = 124 - 120. Let b be (-6 - (-5 - l)) + 0/(-1). Let 2/7*g**2 + 0*g - 2/7*g**b + 0 = 0. What is g?
0, 1
Let r = 384195/11 - 209376738/5995. Let g = r + 1/109. Factor 4/5*f**2 + 4/5*f**4 + 12/5*f - g - 12/5*f**3.
4*(f - 2)*(f - 1)**2*(f + 1)/5
Let s(k) be the first derivative of -k**8/2240 + k**7/140 - k**6/30 - 130*k**3/3 - 13. Let h(i) be the third derivative of s(i). Suppose h(w) = 0. What is w?
0, 4
Let l = 3752307/695 + -5399. Let p = l - -689/2085. Factor p*t**3 - 2/3*t**2 + 2/3 - 1/3*t.
(t - 2)*(t - 1)*(t + 1)/3
Let u(s) = 6*s - 3*s + 53 - 17 + 0*s. Let b be u(-11). Factor -21*o**4 - 4*o**b + 4*o + 8*o**4 + 11*o**4 + 2.
-2*(o - 1)*(o + 1)**3
Suppose 14*k = 130*k - 122496. Let f = k + -1052. Factor 0 + 0*o + 0*o**3 - 3/2*o**f + 6*o**2.
-3*o**2*(o - 2)*(o + 2)/2
Suppose 153*r - 33*r**2 - 4480 - 36*r**2 + 191*r + 98*r**2 - 33*r**2 = 0. Calculate r.
16, 70
Suppose -3*z**3 - 302*z**2 - 42133983*z + 42133387*z + z*