lve -2/9*j - 4/9*j**2 + 0 + 4/9*j**4 + 0*j**3 + 2/9*j**i = 0.
-1, 0, 1
Let d(n) be the second derivative of -n**7/336 + n**6/240 + n**5/80 - 57*n. Factor d(u).
-u**3*(u - 2)*(u + 1)/8
Suppose s + 0*s = -z + 7, 0 = -3*s - 5*z + 31. Let m be (-2 - -1) + s + 2. Factor 3*f**3 - 4*f**2 - f**m - 6*f**3.
-4*f**2*(f + 1)
Let k(m) be the first derivative of m**5/20 - m**4/4 + m**3/2 - m**2/2 - 18*m + 3. Let l(v) be the first derivative of k(v). Let l(y) = 0. What is y?
1
Let h(a) = -a**4 - 12*a**2 + 10*a + 3. Let c = -4 - 2. Let i(f) = 2*f**4 + f**3 + 24*f**2 - 20*f - 7. Let u(g) = c*i(g) - 13*h(g). Determine b so that u(b) = 0.
1, 3
Suppose -4742*i + 4754*i = 0. Factor 1/4*n + 0*n**3 + 1/2*n**4 + i - 1/2*n**2 - 1/4*n**5.
-n*(n - 1)**3*(n + 1)/4
Let t(j) = 27*j**3 + 15*j**2 - 15*j - 15. Let a(s) = -6*s - 6 + 7*s**2 + 4*s**3 - s**2 + s**3 + 6*s**3. Let y(l) = 12*a(l) - 5*t(l). Factor y(r).
-3*(r - 1)*(r + 1)**2
Let q(z) be the third derivative of 13*z**5/4 + 185*z**4/24 - 5*z**3/3 + 118*z**2. Factor q(m).
5*(m + 1)*(39*m - 2)
Let w(q) be the second derivative of q**6/40 + 3*q**5/10 + 5*q**4/8 + 9*q**2/2 - 24*q. Let s(j) be the first derivative of w(j). Factor s(f).
3*f*(f + 1)*(f + 5)
Let v(k) be the third derivative of -1/600*k**5 + 6*k**2 + 0 + 0*k - 1/3360*k**8 + 0*k**3 + 1/1200*k**6 + 0*k**4 + 1/2100*k**7. Let v(y) = 0. What is y?
-1, 0, 1
Let t be 559/258 - 2/12. Let u be 7/(539/168) - t/11. Factor -112/5*f**4 + 146/5*f**3 - 86/5*f**u + 22/5*f - 2/5 + 32/5*f**5.
2*(f - 1)**3*(4*f - 1)**2/5
Suppose 5*s = -i + 102, 0 = -3*i - i + 8. Let v be ((-104)/(-325))/(2/s*4). Factor 4/5*y**5 - 4/5*y**3 + 0 + 0*y + 4/5*y**2 - v*y**4.
4*y**2*(y - 1)**2*(y + 1)/5
Let k = -1582 + 1584. Let d(t) be the first derivative of -11 - t**3 + 3/2*t**k + 6*t. Determine z so that d(z) = 0.
-1, 2
Let c(l) be the second derivative of -l**4/16 + 35*l**3/24 + 3*l**2/2 - l - 82. Solve c(v) = 0.
-1/3, 12
Let b(h) = h**3 - 17*h**2 + h - 15. Let x be b(17). Determine w, given that -3/5*w**x + 6/5 - 3/5*w = 0.
-2, 1
Factor 0 + 21/4*y**3 - 12*y**2 + 3*y.
3*y*(y - 2)*(7*y - 2)/4
Let g = -5481 + 5483. Factor 0*u + 1/4*u**g - 1/4.
(u - 1)*(u + 1)/4
Let s be (-8 - -7) + 3 + 3. Let g(l) be the third derivative of 0 + 1/4*l**4 + 0*l + 1/2*l**3 - 1/20*l**6 - 1/70*l**7 - 8*l**2 + 0*l**s. Factor g(z).
-3*(z - 1)*(z + 1)**3
Let s(g) be the first derivative of -9*g**3/7 + 6*g**2 - 9*g/7 - 594. Find a, given that s(a) = 0.
1/9, 3
Suppose 5 = 3*a + 11. Let m(l) = -l**3 - l**2 - l - 2. Let y be m(a). What is d in -2*d**3 + d - 6*d + 2 + d**3 + y*d**2 = 0?
1, 2
Let c(p) = 3 - 3*p**3 + p + 4*p**3 + 0. Let x be c(0). Factor 2*v**2 + 2*v - 8*v**5 + 11*v**4 - 18*v**x - 7*v**4 + 18*v**4.
-2*v*(v - 1)**3*(4*v + 1)
Let x = 3419 + -3419. Solve -1/10*w**2 + 1/10*w + x = 0.
0, 1
Suppose 0 = -h - h + 12. Let z(s) = -4*s - 4*s**2 + 5 + 2 - h*s**2 + 1. Let u(k) = -19*k**2 - 8*k + 16. Let r(i) = -6*u(i) + 11*z(i). Let r(b) = 0. Calculate b.
-2, 1
Suppose -32*o - 76 = -70*o. Let 0 - 2/3*x + 2/3*x**3 + 0*x**o = 0. Calculate x.
-1, 0, 1
Let c(s) be the second derivative of -2*s**6/45 - 7*s**5/30 - 7*s**4/18 - 2*s**3/9 + 87*s. Let c(j) = 0. Calculate j.
-2, -1, -1/2, 0
Let j(d) be the first derivative of d**6/12 - 57*d**5/10 + 447*d**4/4 - 1175*d**3/3 + 2241*d**2/4 - 729*d/2 + 791. Factor j(f).
(f - 27)**2*(f - 1)**3/2
Factor 24 - 7*v**2 + 10*v - 4*v**2 + 17*v**2 - 5*v**2.
(v + 4)*(v + 6)
Let f(o) = -16*o**4 - 153*o**3 - 119*o**2 + 9*o + 9. Let y(p) = -4*p**4 - 38*p**3 - 30*p**2 + 2*p + 2. Let j(q) = -2*f(q) + 9*y(q). Factor j(m).
-4*m**2*(m + 1)*(m + 8)
Let r(q) be the third derivative of -1/30*q**6 + 32/3*q**3 + 2*q**4 + 0 + 26*q**2 + 0*q**5 + 0*q. Factor r(t).
-4*(t - 4)*(t + 2)**2
Let t(l) be the first derivative of l - 19/6*l**4 - 2/9*l**3 + 13/6*l**2 + 39 + l**5 + 1/2*l**6. Suppose t(x) = 0. What is x?
-3, -1/3, 1
Let x(o) be the third derivative of 0 - 12*o**2 + 0*o + 0*o**5 + 0*o**4 + 0*o**3 - 1/24*o**6. Factor x(b).
-5*b**3
Let j(h) be the second derivative of 4/9*h**3 - 4/3*h**2 + 7/6*h**4 - 1/21*h**7 + 0 - 1/9*h**6 - 3*h + 11/30*h**5. Find q such that j(q) = 0.
-2, -1, 1/3, 2
Let a(j) be the first derivative of j**7/252 + j**6/20 + j**5/18 + 10*j**3 + 32. Let y(g) be the third derivative of a(g). Let y(l) = 0. Calculate l.
-5, -2/5, 0
Let y(n) = -n**2 - 9*n + 25. Let a be y(-11). Let s be 1 + a*6/(-45). Factor s - 6/5*l - 12/5*l**3 - 21/5*l**2.
-3*(l + 1)**2*(4*l - 1)/5
Let x = 91 - 96. Let y be 17/x + (6 - 1). Factor y*w - 16/5 - 1/5*w**2.
-(w - 4)**2/5
Let p(x) be the third derivative of 1/150*x**5 + 0*x**3 + 0 + 0*x + 1/15*x**4 - 3*x**2. Let p(q) = 0. Calculate q.
-4, 0
Let p(r) = -r**2 + 11*r - 10. Let t(l) = 2*l**2 - 11*l + 9. Let b(z) = 3*p(z) + 2*t(z). Let x be b(-12). Factor x - 35*j**3 + 22*j**2 + 25/2*j**4 - 4*j.
j*(j - 2)*(5*j - 2)**2/2
Let b(k) = -k**3 + 8*k**2 + 4*k - 23. Let a be b(8). Let n(g) = -g**3 + 5*g**2 - 3*g + 2. Let o be n(4). Solve 7*f**2 + a*f - 13*f**2 - o + 3*f**2 = 0 for f.
1, 2
Let s = -1765 + 3535/2. Factor -1/4*f**2 - 25/4 - s*f.
-(f + 5)**2/4
Let z(v) be the first derivative of -v**4/18 + 8*v**3/27 - v**2/3 + 61. Factor z(s).
-2*s*(s - 3)*(s - 1)/9
Find t, given that 24*t - 2*t**2 + 3*t**2 + 6 + 30 + 2*t**2 = 0.
-6, -2
Let d(r) be the first derivative of 0*r**2 + 0*r**4 - 1/60*r**6 - 1/20*r**5 - 3 + 0*r**3 - 5*r. Let s(l) be the first derivative of d(l). Factor s(g).
-g**3*(g + 2)/2
Let t(i) be the third derivative of -i**7/840 + i**6/240 + i**5/20 - 23*i**4/24 + 41*i**2. Let l(a) be the second derivative of t(a). Solve l(v) = 0 for v.
-1, 2
Let a(r) be the third derivative of -r**6/24 - r**5/6 + 95*r**4/24 + 50*r**3/3 - r**2 - 212*r. Factor a(q).
-5*(q - 4)*(q + 1)*(q + 5)
Let i = -51 - -53. Solve 2*z**4 + 71 - 28*z - 39 - 6*z**i + 8*z**3 - 48 = 0 for z.
-4, -1, 2
Let y = 106 + -56. Suppose 5*d - 10 = 0, 2*t + d = -4*d + y. Factor 1 + 8*a**3 + 17/2*a + t*a**2.
(a + 2)*(4*a + 1)**2/2
Let u(o) = -o**2 + 2*o + 24. Let z be u(6). Let l(x) be the third derivative of -x**2 + z - 3/8*x**4 + 0*x + 1/20*x**5 + x**3. Let l(p) = 0. Calculate p.
1, 2
Let q be (276/(-90) + 3)*-48. Suppose -q*s**3 + 4/5 + 24/5*s**2 - 16/5*s + 4/5*s**4 = 0. What is s?
1
Let u = 5 + -6. Let v be (2/18)/((u - 2)/(-18)). Factor 4/3*h + 2/3*h**2 + v.
2*(h + 1)**2/3
Factor -75 - 37*c + 5*c**2 - 65 - 18*c + 8*c - 13*c.
5*(c - 14)*(c + 2)
Let y(f) be the first derivative of 35*f**3 + 99*f**2/2 - 6*f - 83. Factor y(p).
3*(p + 1)*(35*p - 2)
Let y(j) be the third derivative of -1/70*j**7 - 1/8*j**4 + 0*j - 3/40*j**6 - 10*j**2 + 0 - 3/20*j**5 + 0*j**3. Factor y(o).
-3*o*(o + 1)**3
Let r(y) = 50*y**3 - 5695*y**2 - 11680*y - 5830. Let u(p) = -3*p**3 + 335*p**2 + 687*p + 343. Let t(f) = -2*r(f) - 35*u(f). Let t(s) = 0. What is s?
-1, 69
Suppose y - 17 = 4*b, 0 = -4*y + 5*b - 3*b + 12. Suppose 0 = -g + y. Solve -1 + 2*j**2 - 3 - 2*j - 1 + g = 0.
-1, 2
Suppose -320 = -0*f + 4*f + 5*p, 12 = -3*p. Let g = f + 80. Suppose 0 + 0*n + 2/5*n**2 + 6/5*n**4 + 2/5*n**g + 6/5*n**3 = 0. Calculate n.
-1, 0
Let c be (-4)/2 + 1 + 1. Let u = -5/2544 + 5123/17808. Factor 0*y**2 + 0*y - 2/7*y**5 + 0*y**4 + u*y**3 + c.
-2*y**3*(y - 1)*(y + 1)/7
Let f(z) = 925*z**3 + 1440*z**2 + 575*z + 25. Let a(v) = -77*v**3 - 120*v**2 - 48*v - 2. Let t be (-428)/(-12) - 6/9. Let u(q) = t*a(q) + 3*f(q). Factor u(l).
5*(l + 1)*(4*l + 1)**2
Let h = -1316 - -14478/11. Factor 0 + 4/11*g + h*g**2.
2*g*(g + 2)/11
Determine v so that 30*v**2 + 255/4*v + 65/2 - 5/4*v**3 = 0.
-1, 26
Let d(q) be the second derivative of q**4/6 + 13*q**3/6 - 7*q**2/2 - 59*q. Let d(m) = 0. What is m?
-7, 1/2
Let a(s) = -2*s - 14. Let q be a(5). Let f be (2/(-3))/2 + (-20)/q. Let -1/2*x**3 + 0 + 1/2*x + 1/2*x**4 - f*x**2 = 0. What is x?
-1, 0, 1
Determine s so that 0 - 1/3*s**2 - 3*s = 0.
-9, 0
Let j(n) = 5*n**2 + 207*n - 208. Let k be j(1). Factor -2/5*h**k + 1/5*h**5 + 2/5*h**2 + 0*h - 1/5*h**3 + 0.
h**2*(h - 2)*(h - 1)*(h + 1)/5
Let l be (160/(-280))/(-3 - 38/(-14)). Suppose 9/5*f**l + 0 - 6/5*f - 9/5*f**4 + 3/5*f**5 + 3/5*f**3 = 0. What is f?
-1, 0, 1, 2
Factor -18*v**4 + 36*v**3 + 6*v**4 - 108*v**2 + 5*v**4 + 4*v**4.
-3*v**2*(v - 6)**2
Factor 160*b**3 + 400/3*b**2 + 4/3*b**5 + 28*b**4 + 0*b + 0.
4*b**2*(b + 1)*(b + 10)**2/3
Let z(d) be the first derivative of d**6/33 - 4*d*