**2/5
Let t = -38488266/186319 - -12/26617. Let n = -206 - t. Factor -2/7 - 2/7*j - 2/7*j**5 - 2/7*j**4 + 4/7*j**2 + n*j**3.
-2*(j - 1)**2*(j + 1)**3/7
Let h(o) be the second derivative of -o**4/21 - 8*o**3/21 - 6*o**2/7 + 12*o + 1. Factor h(x).
-4*(x + 1)*(x + 3)/7
Factor 375/7*d + 1/7*d**3 + 187/7 + 27*d**2.
(d + 1)**2*(d + 187)/7
Factor 5/2*z**3 - 15 + 65/2*z - 20*z**2.
5*(z - 6)*(z - 1)**2/2
Let m(u) be the third derivative of -u**8/1008 + u**7/105 + 7*u**6/72 + 4*u**5/15 + 5*u**4/18 + 65*u**2. Suppose m(f) = 0. Calculate f.
-2, -1, 0, 10
Let f be (-8)/(-52) - (-76)/13. Factor -45*u**2 + 32*u**3 - f - 5*u**4 - 4 - 57*u**3 - 35*u.
-5*(u + 1)**3*(u + 2)
Let m(o) be the second derivative of o**4/3 + 38*o**3/3 + 68*o**2 - 361*o. Factor m(w).
4*(w + 2)*(w + 17)
Let y(o) = -4*o - 70. Let q be y(-18). Let a(k) be the first derivative of -1/6*k**3 + 6 + k - 1/4*k**q. Suppose a(h) = 0. Calculate h.
-2, 1
Let k be ((-18)/(-36))/(2/8). Suppose 5*f = -r + 20, -f - k*r = -0*f - 4. Factor 4*o**3 - f*o**4 + o**4 - 4*o**5 + 4*o**2 - o**4 + 0*o**3.
-4*o**2*(o - 1)*(o + 1)**2
Let b(m) be the first derivative of 6*m - 3/2*m**4 - 19 + 3/2*m**2 + 6/5*m**5 - 4*m**3 + 1/2*m**6. What is s in b(s) = 0?
-2, -1, 1
Let b(k) be the first derivative of -k**5/10 - 5*k**4/8 - k**3 + k**2 + 4*k + 218. Find d, given that b(d) = 0.
-2, 1
Let f(k) be the first derivative of k**6/24 + 7*k**5/20 - 5*k**4/2 + 11*k**3/3 + 451. Factor f(u).
u**2*(u - 2)**2*(u + 11)/4
Let -5/6*c**3 + 0 + 0*c + c**2 - 1/6*c**4 = 0. What is c?
-6, 0, 1
Let q be (-15)/((-105)/56) + -5. Find s such that 0*s + 2/3*s**5 - 5/3*s**2 + 10/3*s**q - 5/2*s**4 + 1/6 = 0.
-1/4, 1
Let x(d) be the second derivative of d**10/60480 - d**8/4480 - d**7/2520 + 17*d**4/12 - 10*d. Let q(y) be the third derivative of x(y). Solve q(r) = 0.
-1, 0, 2
Let i(d) be the third derivative of -d**5/48 + 35*d**4/48 - 5*d**3 - 100*d**2. Factor i(r).
-5*(r - 12)*(r - 2)/4
Suppose 0 = 3*s + 5*u - 37, 0 = 4*s - u - 3*u + 4. Let l be (-245)/90 + s - 6/(-27). Factor l*z**2 + 3/2 + 3*z.
3*(z + 1)**2/2
Let i(c) be the first derivative of 21 + 0*c + 0*c**2 + 8*c**3 + 3/4*c**4. Factor i(k).
3*k**2*(k + 8)
Factor 0*k - 22/3*k**3 + 4*k**2 + 0 - 34/3*k**4.
-2*k**2*(k + 1)*(17*k - 6)/3
Let f(b) be the third derivative of b**6/30 + 11*b**5/60 + 5*b**4/24 - b**3/3 - b**2 - 51*b. Factor f(d).
(d + 1)*(d + 2)*(4*d - 1)
Let x(r) be the second derivative of -r**4/18 + 19*r**3/9 - 34*r**2/3 + 3*r + 46. Suppose x(m) = 0. What is m?
2, 17
Suppose -3 - 3 = -i. Let f = -4 + i. Let 5*k**f - 3 + 0*k**4 - k**4 + k**2 - 2*k**4 = 0. Calculate k.
-1, 1
Let p be 924/98 + -10 - 37/(-28). Let m(j) be the first derivative of 0*j + 0*j**3 - 4 - 1/18*j**6 + 0*j**2 - p*j**4 - 2/5*j**5. Let m(v) = 0. What is v?
-3, 0
Factor -2/7*h**2 - 6050/7 + 220/7*h.
-2*(h - 55)**2/7
Let w(v) be the third derivative of 0 - 2/3*v**4 + 22*v**2 + 0*v - 1/10*v**5 - 16/9*v**3. Determine o so that w(o) = 0.
-4/3
Suppose 2*p - 6*p - 4 = 3*b, 5*p - 4*b = 26. Determine u so that 166*u**2 - 28*u - 171*u**p + 30 + 3*u = 0.
-6, 1
Let j be (8/10)/((-86)/(-172)). What is a in -71/5*a**3 + 4*a**4 + 5*a**5 - 52/5*a - 22*a**2 - j = 0?
-1, -2/5, 2
Let z(d) be the first derivative of 16*d**6/3 - 72*d**5 - 349*d**4/2 - 767*d**3/6 - 42*d**2 - 13*d/2 + 51. Determine m, given that z(m) = 0.
-1, -1/4, 13
Suppose 4*u - 5 = -k + 3, 2*k - 12 = -4*u. Suppose 6 = k*d - d. Factor 2/7*o + 1/7 + 1/7*o**d.
(o + 1)**2/7
Let m(q) be the second derivative of -q**6/20 + q**4/4 - 3*q**2/4 - 3*q + 7. Factor m(i).
-3*(i - 1)**2*(i + 1)**2/2
What is x in 70*x**3 + 21 + 90*x**2 - 24 - 55*x - 65*x**4 - 15*x**5 - 6 - 16 = 0?
-5, -1, -1/3, 1
Let k be (-21)/126*42 + 0 + 11. Suppose 1/5 - 7/5*y + 12/5*y**2 - 16/5*y**k + 4/5*y**3 = 0. Calculate y.
-1, 1/4, 1/2
Let s(z) be the first derivative of -1/6*z**3 + 2 + 1/4*z**2 + 1/24*z**4 - 12*z. Let v(j) be the first derivative of s(j). Factor v(d).
(d - 1)**2/2
Let n(l) be the second derivative of -24*l + 0 + 3/100*l**5 + 1/15*l**3 + 0*l**2 + 1/12*l**4. Solve n(i) = 0 for i.
-1, -2/3, 0
Let v(d) be the third derivative of d**6/24 + 37*d**5/12 + 75*d**4 + 270*d**3 - 9*d**2 - 3*d. Factor v(o).
5*(o + 1)*(o + 18)**2
Suppose 0 = -5*j - 108 + 38. Let l be (-27)/(-36) + j/40. Factor -6/5 - 4/5*k + l*k**2.
2*(k - 3)*(k + 1)/5
What is q in -5/2*q + 1/6*q**2 + 7/3 = 0?
1, 14
Let z(j) be the third derivative of -j**7/84 - 3*j**6/40 + j**5/15 - 3*j**2 - 30. Factor z(i).
-i**2*(i + 4)*(5*i - 2)/2
Let t be 2*(-4)/(24/(-15)). Suppose -t*v + 6 = -19. Factor -4 + 4*p**4 - v*p**4 + p**3 + 4.
-p**3*(p - 1)
Let m(k) be the second derivative of k**6/900 - k**5/150 + 4*k**3/45 - 3*k**2/2 + 12*k. Let x(j) be the first derivative of m(j). Factor x(n).
2*(n - 2)**2*(n + 1)/15
Let n be 29/7 + -4 + -22 + 22. Let g be -1 + (27/7)/3. Suppose -g*q - n*q**2 - 1/7 = 0. Calculate q.
-1
Let p be 15/10*24/18. Let y(b) be the second derivative of -5*b - 1/15*b**4 + 0 + 0*b**p + 1/50*b**5 + 1/15*b**3. Factor y(k).
2*k*(k - 1)**2/5
Suppose -9 = 2*r - 27. Suppose 3*a + d - 73 = 0, -r = 3*a + 5*d - 62. Solve 12*u**3 + 3*u**3 + a*u**2 - 6*u - 17*u**2 = 0 for u.
-1, 0, 2/5
Let k(j) = j**3 - j**2 + j - 1. Let q = 16 + -16. Let h(g) = -3 - 4*g**4 + 2*g**3 + q - 2*g**2 + 3*g**4 + 4*g. Let m(r) = h(r) - 3*k(r). Factor m(v).
-v*(v - 1)*(v + 1)**2
Let i(b) be the first derivative of -4/3*b**3 - 100*b + 20*b**2 - 22. Find z, given that i(z) = 0.
5
Let r(x) = -2*x**3 - 35*x**2 + 196*x - 41. Let k be r(-22). Factor -4/5*i**2 + 4/5 + k*i.
-(i - 4)*(4*i + 1)/5
Suppose -2*j = 4*d - 6, 3*d + 5*j = 2*d + 6. Let x be ((-16)/(-20) - d)*-1. Factor 1/5 - x*l**2 + 0*l.
-(l - 1)*(l + 1)/5
Factor 66/5*k**4 + 0 - 102*k**3 - 2/5*k**5 - 578/5*k**2 + 0*k.
-2*k**2*(k - 17)**2*(k + 1)/5
Let g(i) = -i + 1. Let r(p) = -1 - 2*p**2 + p + p + 2*p**2 - 3*p**2. Let l be r(1). Let f(u) = -u**2 - 3*u + 2. Let z(s) = l*g(s) + f(s). Factor z(d).
-d*(d + 1)
Let d(g) be the first derivative of g**3/3 + 20*g**2 + 400*g - 237. Find c such that d(c) = 0.
-20
Let x(y) be the second derivative of 0*y**3 + 0 - 1/48*y**4 - 1/40*y**6 + 0*y**2 + 3/80*y**5 - 3*y + 1/168*y**7. Determine c, given that x(c) = 0.
0, 1
Let w(j) = -4*j**5 - 2*j**4 + 70*j**3 - 106*j**2 + 54*j. Let s(u) = 4*u**5 + u**4 - 69*u**3 + 105*u**2 - 55*u. Let i(b) = -6*s(b) - 7*w(b). Solve i(c) = 0.
-6, 0, 1, 2
Factor -74/5*z**2 + 2/5*z**3 + 722/5 + 646/5*z.
2*(z - 19)**2*(z + 1)/5
Let m(d) = -13*d - 77. Let h be m(-14). Let v be (0 - -1)/(h/30). Let v*q**2 + 0*q - 2/7 = 0. Calculate q.
-1, 1
Let -40 - 32*a + 0*a**2 + 6678*a**3 - 2*a**2 - 6676*a**3 = 0. Calculate a.
-2, 5
Let f(p) be the second derivative of -p**7/70 + 2*p**6/45 - p**5/30 - 13*p**3/6 - 8*p. Let a(u) be the second derivative of f(u). Find j, given that a(j) = 0.
0, 1/3, 1
Factor 1/2*p**2 - 7/6*p**3 - 7/3 + 19/6*p - 1/6*p**4.
-(p - 1)**2*(p + 2)*(p + 7)/6
Let t(f) = -8*f + 0*f - 26*f**3 - 4 - 18 + 36*f**2 + 6*f. Let u(k) = -9*k**3 + 12*k**2 - k - 7. Let q(s) = -5*t(s) + 14*u(s). Factor q(b).
4*(b - 3)*(b - 1)*(b + 1)
Let o(w) = 9*w**3 + 33*w**2 + 20*w - 8. Let f(a) = -36*a**3 - 132*a**2 - 78*a + 30. Let j(p) = -2*f(p) - 9*o(p). Factor j(x).
-3*(x + 2)**2*(3*x - 1)
Factor 586 + 840*l**2 + 1525 + 73*l**3 - 396 + 37*l**3 + 5*l**4 + 2450*l.
5*(l + 1)*(l + 7)**3
Let x = 23553/5 + -4710. Factor 0 + 1/5*t**5 + 0*t - 2/5*t**2 + 0*t**4 - x*t**3.
t**2*(t - 2)*(t + 1)**2/5
Let d(l) be the first derivative of 0*l**2 - 2/5*l - 1 + 2/15*l**3. Factor d(w).
2*(w - 1)*(w + 1)/5
Suppose -5*f + 256 = -f. Factor f*s**4 + 0*s**5 - 22*s**5 - 6*s**5 - 16*s**3.
-4*s**3*(s - 2)*(7*s - 2)
Let h(o) = 4*o + 1. Let i be h(1). Factor 8*b + i*b + 2*b**3 + 12*b**2 + 4 - b + 2*b**3.
4*(b + 1)**3
Find b, given that 36*b - 3*b**4 + 0*b**3 - 3*b**3 - 24*b**2 - 357*b**5 + 356*b**5 + 9*b**4 - 2*b**3 = 0.
-2, 0, 2, 3
Let t(r) = 10*r**3 - 32*r**2 + 88*r - 48. Let v(s) = -11*s**3 + 30*s**2 - 90*s + 50. Let i(c) = 7*t(c) + 6*v(c). Factor i(n).
4*(n - 9)*(n - 1)**2
Suppose -z = -2*z + 6*z. Suppose 5*b + 0*p - 5*p + 25 = z, 0 = 5*b + 3*p - 15. Suppose -1/2*x**3 + 0*x + 1/2*x**2 + b = 0. Calculate x.
0, 1
Suppose 2*b = 5 + 11. Let q(k) be the first derivative of 1 + b*k + 7/2*k**4 + 8*k**2 - 38/3*k**3. Find g, given that q(g) = 0.
-2/7, 1, 2
Determine h so that -2/15*h**3 + 12/5 + 