*2 - 3700*d + 6360. Let a(q) = 3*q**3 + 27*q**2 - 528*q + 908. Let j(p) = 15*a(p) - 2*h(p). Factor j(s).
(s - 10)*(s - 2)*(s + 45)
Let v(m) be the second derivative of m**7/840 + m**6/40 + m**5/5 + m**4/6 + 37*m**2/2 - 40*m. Let n(o) be the third derivative of v(o). Factor n(t).
3*(t + 2)*(t + 4)
Suppose 51714 = -12*k + 51750. Factor 1/6*z**2 - 1/3*z**k + 1/3*z - 1/6.
-(z - 1)*(z + 1)*(2*z - 1)/6
Let t(m) be the first derivative of 156 + 11/12*m**4 + 8/3*m - 2/5*m**5 - 2*m**2 - 2/9*m**3 + 1/18*m**6. Factor t(h).
(h - 2)**3*(h - 1)*(h + 1)/3
Let o = -242 - -267. Find z, given that -5 + 32*z - 7*z + 15*z + 20 + o*z**2 = 0.
-1, -3/5
Let x(q) be the second derivative of 0*q**2 - 1/10*q**6 + 0 - 3/4*q**5 + 0*q**3 - 3/2*q**4 - 174*q. Factor x(v).
-3*v**2*(v + 2)*(v + 3)
Let b(y) be the third derivative of y**6/90 - y**5/15 + y**4/6 - 55*y**3/3 + 18*y**2. Let n(g) be the first derivative of b(g). Factor n(f).
4*(f - 1)**2
Let u be (4*46/(-49))/(-76 - 13150/(-175)). Find w such that 2/3*w**2 - u*w**3 + 8/21*w - 74/21*w**4 + 8/7*w**5 + 0 = 0.
-1, -1/4, 0, 1/3, 4
Let c = 3270/23 + -114404/805. Let r(o) be the first derivative of -29/7*o**2 - 1/2*o**4 + 11 + 20/7*o + 18/7*o**3 - c*o**5. Solve r(w) = 0.
-10, 1
Let g = -771 - -773. Solve 30*h**5 + 10*h**4 + 14*h**3 - 9*h**g + 15*h**2 - 28*h**5 = 0.
-3, -1, 0
Let z be ((-43)/15 - -3) + 838/15. Let c be -1*(-264)/z + (-2)/(-7). Determine v, given that 0*v**2 + 2/7*v**c + 0 - 4/7*v**3 + 0*v**4 + 2/7*v = 0.
-1, 0, 1
Determine o so that 3*o**2 - 18*o + 32888 - 32860 - o**2 = 0.
2, 7
Factor 824464/5 - 3632/5*o + 4/5*o**2.
4*(o - 454)**2/5
Solve -108/7*h + 0*h**2 - 2/7*h**4 + 162/7 + 12/7*h**3 = 0.
-3, 3
Factor 1/3*b**3 + 0*b + 0 + 92/3*b**2.
b**2*(b + 92)/3
Let o(y) = y**4 + y**3 - y**2 - 8*y - 7. Let d(s) = s**4 + s**3 - s**2 - 4*s - 3. Let p = 714 - 707. Let g(u) = p*d(u) - 3*o(u). Solve g(z) = 0 for z.
-1, 0, 1
Let l(m) be the first derivative of -m**7/168 + m**6/8 - 5*m**5/8 + 35*m**4/24 + 31*m**3 + 31. Let o(s) be the third derivative of l(s). Factor o(a).
-5*(a - 7)*(a - 1)**2
Let d(g) be the first derivative of -g**3 + 363*g**2 - 13697*g + 107. Let l(k) = 2*k**2 - 364*k + 6848. Let s(o) = 3*d(o) + 7*l(o). Factor s(n).
5*(n - 37)**2
Suppose 0 = -2*d - 24*i + 29*i + 36, 3*i + 18 = 0. Factor 54/7*q**2 + 6/7*q**d + 1/7*q**5 + 81/7 - q**4 - 135/7*q.
(q - 3)**3*(q - 1)*(q + 3)/7
What is t in 0 - 2/17*t - 2/17*t**3 - 4/17*t**2 = 0?
-1, 0
Suppose -256 = 3*b - 7*b. Let s = b + -50. Factor s*c**2 + 3*c**3 - 35*c**2 + 24*c**2 - 3*c - 3.
3*(c - 1)*(c + 1)**2
Let f(r) = -1815*r**3 - 138105*r**2 - 149019*r - 41046. Let v(x) = -363*x**3 - 27621*x**2 - 29804*x - 8204. Let u(t) = -4*f(t) + 21*v(t). Factor u(n).
-3*(n + 75)*(11*n + 6)**2
Suppose z + 1577*f - 1574*f = 18, -5*z + 5*f - 30 = 0. Let z - 2/3*x**5 + 0*x + 8/3*x**2 - 16/3*x**3 + 10/3*x**4 = 0. What is x?
0, 1, 2
Let j be ((-4)/(-10) + 36/(-15))*-1. Let q(v) be the first derivative of -5*v**j + 0*v + 12 - 5/3*v**3. Factor q(y).
-5*y*(y + 2)
Let w(b) be the third derivative of b**8/756 - 2*b**7/45 + 61*b**6/135 + 16*b**5/135 - 64*b**4/3 - 2048*b**3/27 + 2*b**2 - 58. What is l in w(l) = 0?
-2, -1, 8
Suppose -706 + 686 = -10*u. Suppose -10 + 8 = -t - u*a, 2*a = t - 2. Solve -8/5 + 44/5*y - 4/5*y**4 - 54/5*y**t + 5*y**3 = 0 for y.
1/4, 2
Let t(j) be the second derivative of -j**5/70 - 181*j**4/7 - 98283*j**3/7 - 45*j + 26. Find i, given that t(i) = 0.
-543, 0
Let t(l) = -2*l + 4. Let s be t(1). Suppose 0 = s*k + 2*b - 12, -3*b = -7*b + 16. Solve 0*x**3 + 2*x**2 - x**5 + 2*x**4 - 6*x**k + 4*x + 2*x**3 + 2 - 5*x = 0.
-1, 1, 2
Let w(o) = 213*o - 23213. Let c be w(109). Let t(i) be the first derivative of -c*i + 1/9*i**3 - 2/3*i**2 - 18. Factor t(u).
(u - 6)*(u + 2)/3
Let j(w) be the third derivative of 0*w**5 + 0 - 2*w + 13/30*w**4 - 1/150*w**6 + 8/5*w**3 - 17*w**2. Factor j(v).
-4*(v - 4)*(v + 1)*(v + 3)/5
Factor -257575250/7*s**4 + 16/7 + 3048180/7*s**2 + 254514950/7*s**3 + 12104/7*s.
-2*(s - 1)*(505*s + 2)**3/7
Let y(f) be the first derivative of -14*f**5/5 - 16*f**4 + 944*f**3/21 + 320*f**2/7 + 96*f/7 + 2480. What is s in y(s) = 0?
-6, -2/7, 2
Solve 0 + 1/3*r**2 + 272/3*r = 0.
-272, 0
Let o = -638164 + 5743478/9. Solve o*i**4 - 2/9*i**5 + 0 + 88/9*i**2 + 44/9*i**3 + 16/3*i = 0 for i.
-2, -1, 0, 6
Let p(r) be the second derivative of 147*r**6/25 - 3108*r**5/25 + 589*r**4/30 - 14*r**3/15 - 3600*r. Factor p(b).
2*b*(b - 14)*(21*b - 1)**2/5
Let c(z) = z**3 - 4*z**2 + 4*z - 14. Suppose 7*r = 9*r - 8. Let q be c(r). Find x such that 1 + 9 + 3*x**2 - 12*x + q + 15*x**4 - 48*x**2 - 6*x**3 = 0.
-1, 2/5, 2
Let a be 4/(-22) - ((-1127)/(-4554))/49*-58. Factor -2/9*f**3 + 0*f + 0 + a*f**4 + 0*f**2.
f**3*(f - 2)/9
Let r = 22 - 32. Let c be (r*7/(-35))/((-1)/(-8)). Determine g so that -16*g + c + 2*g**3 - 12*g**2 + 4*g**4 + 8*g**3 - 2*g**3 = 0.
-2, 1
Let x(c) = -7*c - 2. Let w be x(-2). Suppose -7*p = -p - w. Solve 10 + 178*r**p - 183*r**2 + 5 + 10*r = 0.
-1, 3
Let n(f) = f**3 + f**2 + f. Let c be n(3). Let l = c - 31. Solve -4*v + 9*v**4 + 9*v**3 + 6*v**3 - 7*v**2 - 5*v**2 - l*v = 0.
-2, -2/3, 0, 1
Let z be ((-16)/(-3))/2 + -5 + 3. Let t(i) be the first derivative of 2/3*i**3 - z*i**2 + 0*i - 19 - 1/6*i**4. Factor t(n).
-2*n*(n - 2)*(n - 1)/3
Let h(w) be the second derivative of 1/40*w**6 - 3/8*w**4 - w**3 + 0*w**2 + 9/80*w**5 + 11*w - 7. Determine z so that h(z) = 0.
-4, -1, 0, 2
Let r be (-11)/(-3*3/9). Let h be 4/(-8)*6 + r. Solve 6 + 3*v**3 + 16 - h + 13 + 9*v - 15*v**2 = 0.
-1, 3
Suppose o = -3*m + 8, -2*m + o = -4 + 2. Factor 3743*q - 6*q**m + 2*q**3 + 0*q**2 - 3739*q.
2*q*(q - 2)*(q - 1)
Let l(h) be the first derivative of -25/21*h**6 - 64/7*h + 128/7*h**2 + 16/7*h**5 - 340/21*h**3 + 59/14*h**4 - 44. What is k in l(k) = 0?
-2, 4/5, 1
Let z(j) be the first derivative of 24*j**2 - 225 + 0*j + 141/4*j**4 - 21/5*j**5 + 70*j**3. Factor z(o).
-3*o*(o - 8)*(o + 1)*(7*o + 2)
Let g be ((-634)/(-208))/(52/104) + 4/26. Let y(n) be the first derivative of 5/6*n**6 + 10*n**2 + 0*n**5 - g*n**4 + 0*n**3 + 13 + 0*n. Solve y(t) = 0 for t.
-2, -1, 0, 1, 2
Let v = 28340 + -28337. Factor 0*r**2 + 1/8*r**v - 3/8*r - 1/4.
(r - 2)*(r + 1)**2/8
Factor 10/7*p**2 + 132/7 + 334/7*p.
2*(p + 33)*(5*p + 2)/7
Let n be (-12)/(-2) + 2367/(-9). Let x = -257 - n. Let -2/9*f**3 + x - 1/9*f**2 + 1/9*f**4 + 2/9*f = 0. Calculate f.
-1, 0, 1, 2
Suppose 202*t - 199*t = 657. Suppose t*n = 216*n + 12. Determine j so that 0*j - 8/5*j**n - 4/5*j**2 + 0 + 2*j**3 + 2/5*j**5 = 0.
0, 1, 2
Let -2/5*v**2 + 3056/5 - 3054/5*v = 0. Calculate v.
-1528, 1
Let u(a) = 3*a**2 - 42*a - 39. Let p(z) = -3*z**2 + 43*z + 38. Suppose -2*n - 6 = s, -2*s + 4*n = -3*s - 16. Let m(c) = s*u(c) + 3*p(c). Factor m(g).
3*(g - 14)*(g + 1)
Let h be 7/(-385)*10 - (0 - (-1 + 68/11)). Factor 12/13*f**4 - 2/13*f**h + 0*f**3 + 0 - 64/13*f**2 + 0*f.
-2*f**2*(f - 4)**2*(f + 2)/13
Let y(r) be the second derivative of -21/5*r**3 + 49/5*r**2 - 1/50*r**5 - 3 - 18*r + 1/2*r**4. Solve y(x) = 0 for x.
1, 7
Let -9*p**4 + 10981 + 16*p**4 - 30*p + 35*p**2 - 12*p**4 - 10981 = 0. What is p?
-3, 0, 1, 2
Suppose 0 = -3*n + 9, 9*f - 8*f = -4*n + 12. Let w(m) be the third derivative of 0 - 1/24*m**6 + f*m + 0*m**4 - 1/2*m**5 + 22*m**2 + 0*m**3. Factor w(h).
-5*h**2*(h + 6)
Let b be -3 + (-190)/152 + (-39)/(-6). Let -3/4*m**3 - 1/8*m**5 - 5/2*m**2 - b + 39/8*m + 3/4*m**4 = 0. Calculate m.
-2, 1, 3
Let p = -2802848/51 - -54951. Let r = -25/17 - p. Factor 6 - 2/3*n**2 - r*n.
-2*(n - 1)*(n + 9)/3
Let k = 14 - 12. Suppose 24*g - 12 = 18*g. Let 4*q**k - 4*q**2 + 8 + g*q**2 + 2*q - 12*q = 0. What is q?
1, 4
Suppose -4*b + w = -218, 3*w - 224 = -4*b + w. Let c be b/5 + -4 + -2. Suppose 15*j**3 - 12*j**4 - 79*j - 3*j**c + 79*j = 0. Calculate j.
-5, 0, 1
Suppose 16*k - 29*k + 104 = 0. Let v be 1545/165 - k/22. Factor v - 3*d + 1/4*d**2.
(d - 6)**2/4
Let v(m) be the first derivative of 0*m**4 - 144*m - 120*m**2 + 3*m**5 + 1/2*m**6 - 40*m**3 - 4. Find z such that v(z) = 0.
-2, 3
Solve -349/3*v + 350/3 - 1/3*v**2 = 0 for v.
-350, 1
Let f be 15966/1352 - 12 - 2/(-8). Let r = 437/1183 + f. Let r*p**4 + 0*p + 0 - 3/7*p**2 + 0*p**3 = 0. What is p?
-1, 0, 1
Let n(k) = 6*k. Let h be n(1). Suppose -215*l + 1372 - 910 = -1688. Solve i**3 + 4*i**3 - 15*i**4 - 5*i + 0*i + h*i**2 - l + 19