 be (-32)/(-24) - 8/(-6). Let h(g) be the first derivative of 1/5*g**5 - 3*g**2 - 9*g - 3 + r*g**3 + 3/2*g**4. Factor h(l).
(l - 1)*(l + 1)*(l + 3)**2
Let x = -1220/9 + 8081/63. Let i = -169/28 - x. Suppose 0*h + 5/4*h**4 - i*h**2 + 0 + 0*h**3 = 0. Calculate h.
-1, 0, 1
Suppose -4*q + 2*a + 151 = 5*a, 25 = 5*a. Let r be ((-8)/q)/((-18)/9). Factor 4/17*n - r - 2/17*n**2.
-2*(n - 1)**2/17
Let r(y) be the second derivative of y**6 - y**5/2 + 5*y**4/48 - 5*y**3/6 + 19*y. Let d(i) be the second derivative of r(i). Factor d(j).
5*(12*j - 1)**2/2
Let h(j) = -3*j**3 + 16*j**2 - 13*j + 5. Let a(x) = 16*x**3 - 88*x**2 + 72*x - 28. Let c = 77 - 49. Let i(o) = c*h(o) + 5*a(o). Factor i(v).
-4*v*(v - 1)**2
Let l = 2214 - 15497/7. Let q(d) be the second derivative of -1/14*d**4 + 0 + 10*d + l*d**2 - 2/21*d**3. Factor q(a).
-2*(a + 1)*(3*a - 1)/7
Let q(t) = t - 19. Let u be q(21). Factor -27/5 + 18/5*a - 3/5*a**u.
-3*(a - 3)**2/5
Let j(u) = -10*u - 134. Let p be j(-17). Let z be (-100)/p + (0 - (1 - 4)). Suppose -z*m - 2/9*m**2 + 0 = 0. What is m?
-1, 0
Let w(k) be the first derivative of -5*k**4/2 - 5*k**3/3 + 125*k**2/2 - 60*k + 28. Let w(f) = 0. What is f?
-4, 1/2, 3
Let g be 117/17 + 30/255. Factor -5*c + g*c - 4*c - c**2 - 1.
-(c + 1)**2
Let t(v) = v**2 - 1. Let b(n) = 4*n**4 + 12*n**3 - 14*n**2 - 12*n + 10. Suppose 0 = 4*h - 32 - 8. Let s(l) = h*t(l) + b(l). Factor s(d).
4*d*(d - 1)*(d + 1)*(d + 3)
Let b(m) = -15*m. Let i(l) = -3*l**2 + 18*l - 2. Let s(g) = -g**2 + g - 1. Let a(k) = -i(k) + 2*s(k). Let r(v) = 3*a(v) - 2*b(v). Factor r(h).
3*h*(h - 6)
Suppose -12*x - 3518 = -3566. Factor -4/5*s**3 + 2/5 + 2/5*s**x + 2/5*s + 2/5*s**5 - 4/5*s**2.
2*(s - 1)**2*(s + 1)**3/5
Factor 14/15 - 2/15*x**3 - 2*x + 6/5*x**2.
-2*(x - 7)*(x - 1)**2/15
Let u(p) be the first derivative of -11 + 0*p**3 + 0*p**2 + 1/22*p**4 + 0*p - 2/55*p**5. Determine n, given that u(n) = 0.
0, 1
Let n(m) be the third derivative of 1/390*m**5 + 0*m + 1/156*m**4 - 2/13*m**3 + 38*m**2 + 0. Factor n(i).
2*(i - 2)*(i + 3)/13
Let k = 1242 + -11176/9. Let n(a) be the first derivative of 0*a + 6 - k*a**3 - 2/3*a**2. Factor n(m).
-2*m*(m + 2)/3
Let n(j) be the third derivative of -j**8/168 + j**7/35 + j**6/60 - j**5/10 + j**2 - 81. Determine z so that n(z) = 0.
-1, 0, 1, 3
Let j(c) be the second derivative of 5*c**4/12 - 65*c**3/6 + 105*c**2 - 18*c - 3. Factor j(v).
5*(v - 7)*(v - 6)
Let k(a) be the second derivative of a**7/14 + 2*a**6/5 + 9*a**5/10 + a**4 + a**3/2 + 159*a. What is d in k(d) = 0?
-1, 0
Suppose 0 = -i - 2*i, -2*v = 3*i - 8. Factor 8/5*z**2 - 32/5*z**3 + 0*z + 0 + 14/5*z**v.
2*z**2*(z - 2)*(7*z - 2)/5
Let l(i) be the first derivative of 0*i - 1/14*i**4 + 1/7*i**2 - 1 + 2/21*i**3 - 2/35*i**5. Solve l(g) = 0 for g.
-1, 0, 1
Suppose -32 = -5*d + 4*f, -4*f + 9 = -7*f. What is u in -8*u**2 + d*u**2 + u**2 - 1 + 7 - 3*u = 0?
-2, 1
Factor 45*z - 100 + 222*z**2 + 221*z**2 + 226*z**2 - 674*z**2.
-5*(z - 5)*(z - 4)
Let z(x) be the third derivative of -x**8/448 + 3*x**7/560 + 3*x**6/320 - x**5/80 + 586*x**2. Let z(c) = 0. Calculate c.
-1, 0, 1/2, 2
Let p(w) = 7*w**3 + 24*w**2 - 57*w + 30. Let t(n) = 8*n**3 + 26*n**2 - 58*n + 30. Let f(b) = -3*p(b) + 2*t(b). Factor f(y).
-5*(y - 1)**2*(y + 6)
Determine b, given that -12*b + 14*b**2 + 21*b**2 - 37*b**2 + 80 = 0.
-10, 4
Let q be (-6)/1 + (-10 - -11). Let m = q - -17. Factor 2*f**2 + 30 - 12*f + 0*f**2 - m.
2*(f - 3)**2
Factor 4*o**5 + 54*o**3 + 51*o**3 - 2*o**4 - 107*o**3.
2*o**3*(o - 1)*(2*o + 1)
Let j(i) be the second derivative of -i**6/144 - 9*i**5/80 - 5*i**4/24 - 25*i**3/6 + 21*i. Let g(k) be the second derivative of j(k). Factor g(z).
-(z + 5)*(5*z + 2)/2
Let b(i) be the third derivative of -i**5/150 - 3*i**4/20 - 4*i**3/3 + 51*i**2 + 1. Determine u so that b(u) = 0.
-5, -4
Let v(w) = w**2 + 20*w + 39. Let a be v(-18). Find m such that 6*m**2 - 6*m**a - 4 + 6*m + 9*m**4 - 13*m**4 - 5*m**2 + 7*m**2 = 0.
-2, -1, 1/2, 1
Let a(k) be the third derivative of -k**6/30 + 4*k**5/5 - k**2. Factor a(f).
-4*f**2*(f - 12)
Let s(y) be the second derivative of 0*y**3 - y**5 + 5/42*y**7 + 0 + 1/6*y**6 + 0*y**2 - 5*y - 5/3*y**4. Factor s(u).
5*u**2*(u - 2)*(u + 1)*(u + 2)
Let l(r) be the first derivative of r**6/135 + r**5/45 - 2*r**3/27 - r**2/9 + 21*r - 20. Let t(v) be the first derivative of l(v). Factor t(a).
2*(a - 1)*(a + 1)**3/9
Suppose m = -2, -m + 3 = v - 2. Factor -28*s**2 - 1 - 52*s + v - 1 + 3.
-4*(s + 2)*(7*s - 1)
Let b be 0 + (-4)/(-14) + 20/(-210)*-18. Factor 32/5 + 16/5*z + 2/5*z**b.
2*(z + 4)**2/5
Let z be (-2 - 1)*(64/4)/(-144). Factor -1/6*k**2 + z + 1/6*k.
-(k - 2)*(k + 1)/6
Let g be (2/(-2) - -5)/(0 + -1). Let t be ((-255)/25)/3 - g. Suppose 1/5*h**3 - t*h**2 + 0 + 2/5*h = 0. Calculate h.
0, 1, 2
Let n be (-9)/(-18)*(2 - 2). Factor -3/7*r**2 - 12/7*r + n.
-3*r*(r + 4)/7
Suppose -1/4*a**4 + a**2 + 3*a + 0 - 3/4*a**3 = 0. What is a?
-3, -2, 0, 2
Let v(j) = 2*j**4 + 29*j**3 + 181*j**2 + 355*j + 201. Let y(h) = -2*h**4 - 30*h**3 - 182*h**2 - 354*h - 200. Let p(u) = 4*v(u) + 5*y(u). Solve p(b) = 0 for b.
-7, -2, -1
Let w(k) be the second derivative of -7/8*k**2 - 1/80*k**5 + 0 + 7/48*k**4 + 26*k + 1/24*k**3. Find d such that w(d) = 0.
-1, 1, 7
Let g be (-9)/(27/(-2))*-1*2/(-6). Factor 2/9*l**2 + 0 + g*l.
2*l*(l + 1)/9
Let h(c) be the third derivative of c**6/660 + c**5/330 - c**4/132 - c**3/33 - 85*c**2. Factor h(b).
2*(b - 1)*(b + 1)**2/11
Suppose 2*g = 2*n - 60, -17*n - 4*g - 48 = -18*n. Factor -n*o**2 + 0 + 6*o - 27/2*o**3.
-3*o*(o + 2)*(9*o - 2)/2
Suppose -5*r = -p - 25, 0 = -2*r + 3*r - 3*p + 9. Suppose -2 + r = o, 0 = -5*g + 3*o - 2. What is n in 2*n - 2*n**3 + 3*n**3 + 4*n - 6*n**g + n**3 - 2 = 0?
1
Let i be (-260)/78*(2 - 8/10). Let j be (i - -2) + (10/3)/1. Factor -16/3 + j*f**2 + 2/3*f**3 - 8/3*f.
2*(f - 2)*(f + 2)**2/3
Let g be 112/32*(-12)/(-14). Factor 2 + 1 - 2*a**2 - 3 - a**4 + 3*a**g.
-a**2*(a - 2)*(a - 1)
Let u(k) be the third derivative of k**7/525 - k**6/25 - 8*k**5/5 - 272*k**4/15 - 512*k**3/5 - 44*k**2 + k. Factor u(c).
2*(c - 24)*(c + 4)**3/5
Find d such that -1/3*d + 2/3 + 1/3*d**3 - 2/3*d**2 = 0.
-1, 1, 2
Suppose -k + c + 145 = 2*k, 121 = 3*k + 5*c. What is p in 52*p**2 - 13 - 40*p - 32 - k*p**2 = 0?
-1, 9
Let m = -13108/7 - -1874. Determine n so that -4/7*n**5 + 0 - 2/7*n**2 + 0*n - m*n**4 - 8/7*n**3 = 0.
-1, -1/2, 0
Find h such that -8/17*h**2 + 26/17*h - 6/17*h**3 - 12/17 = 0.
-3, 2/3, 1
Let d(f) be the second derivative of -f**7/357 + f**6/51 - 7*f**5/170 + f**4/34 + 294*f. Find o, given that d(o) = 0.
0, 1, 3
Suppose 2*l = 0, l + 3 = -3*r + 4*r. Let m(j) be the second derivative of -1/2*j**r + 0*j**2 + 0 + 3/10*j**5 - 5*j + 1/4*j**4. Factor m(n).
3*n*(n + 1)*(2*n - 1)
Let z = 4/5 + -58/75. Let l(q) be the third derivative of 0*q + z*q**5 + 0 - 1/12*q**4 - 1/300*q**6 - q**2 + 2/15*q**3. Factor l(y).
-2*(y - 2)*(y - 1)**2/5
Let h(s) be the second derivative of 0 - 1/3*s**3 + 57*s + 1/6*s**4 + 0*s**2. Solve h(t) = 0.
0, 1
Suppose 2*p + 19 = -2*l - 11, -1 = p. Let n be (-76)/(-28) - 4/l. Factor 37 - 37 + 3*w**n + 0*w**3.
3*w**3
Let c(t) be the second derivative of -t**4/24 - 25*t**3/6 - 625*t**2/4 + 72*t. Factor c(h).
-(h + 25)**2/2
Let b(x) = 1. Let i(d) = d**3 - 53*d**2 + 52*d + 11. Let a(l) = 22*b(l) - 2*i(l). Let a(r) = 0. Calculate r.
0, 1, 52
Solve 12*n - 110/9 + 2/9*n**2 = 0 for n.
-55, 1
Let x(j) be the second derivative of j**6/30 - 11*j**4/12 - 3*j**3 - 4*j**2 + 7*j - 5. Solve x(s) = 0 for s.
-2, -1, 4
Let t(d) be the third derivative of -d**5/20 - d**4 - 6*d**3 + 2*d**2 - 17. Find s, given that t(s) = 0.
-6, -2
Solve -40*h**3 + 4*h**5 - 80*h**2 - 52*h + h - 16 - 9*h = 0.
-1, 4
Let z be 34/6 - (-168)/(-378). Let t = z - 5. Find l such that -2/9*l**3 - t*l**2 + 0 + 2/9*l**4 + 0*l + 2/9*l**5 = 0.
-1, 0, 1
Let l(s) be the third derivative of 0*s**4 - 1/5*s**5 + 0*s**6 + 0*s**3 + 0*s + 0 - 2*s**2 + 1/112*s**8 + 3/70*s**7. Suppose l(n) = 0. What is n?
-2, 0, 1
Suppose -3*h + 50 = 22*h. Let x(s) be the second derivative of 4*s + 6*s**3 - 7/6*s**4 + 4*s**h + 0 - 41/4*s**5 + 125/21*s**7 - 5/2*s**6. Factor x(y).
(y - 1)*(2*y - 1)*(5*y + 2)**3
Let z = 13 + -9. Suppose 0 = z*h + 5*b - 37, 3*b = h + b + 7. Factor 3 - h + 3*k**2 - 1 - 5 - 3*k.
3*(k - 2)*(k + 1)
Let k be 74/14 - -5*(-6)/105. Suppose -2*q = y, q 