f -3*a**8/616 - 4*a**7/385 - a**6/165 - 3*a**2/2 - 4*a. Let t(c) be the first derivative of z(c). What is u in t(u) = 0?
-2/3, 0
Let a(h) = -5*h**4 - 10*h**3 - 25*h**2 - 50*h + 30. Let i(m) = m**3 + m**2 + m - 1. Let o(w) = -a(w) - 30*i(w). Factor o(q).
5*q*(q - 4)*(q - 1)*(q + 1)
Let j(z) = -z**3 + 2*z**2 + 2*z - 1. Let b be j(2). Suppose 4 = 3*q - 2. What is w in 3*w**3 + 0*w**q - 3*w**4 - w**2 - w**5 - 6*w**b = 0?
-1, 0
Let g(n) = -6*n**3 + 37*n**2 - 9*n + 20. Let x be g(6). Factor x*p - 2/3*p**2 + 0.
-2*p*(p - 3)/3
Let d(g) = -16*g**2 + 32*g + 8. Let n(q) = q**2 - q. Let y be (1 + 0)/(2/72). Let t = y - 16. Let u(k) = t*n(k) + d(k). Factor u(x).
4*(x + 1)*(x + 2)
Let d(g) be the first derivative of g**3/9 + 7*g**2/3 + 40*g/3 + 44. What is n in d(n) = 0?
-10, -4
Let t(v) be the first derivative of 2*v**3/21 - 12*v**2/7 + 22*v/7 + 93. Factor t(x).
2*(x - 11)*(x - 1)/7
Let c(j) be the first derivative of -3*j**6 + 86*j**5/5 - 71*j**4/2 + 30*j**3 - 4*j**2 - 8*j - 68. Determine u so that c(u) = 0.
-2/9, 1, 2
Factor -93312/11 + 7776/11*u - 216/11*u**2 + 2/11*u**3.
2*(u - 36)**3/11
Factor -24/5*o**2 + 1/5*o**3 + 0 + 23/5*o.
o*(o - 23)*(o - 1)/5
Let a(o) = -o**3 - 2*o**2 + 4*o + 5. Let g be a(-3). Suppose -35 + 23 + 3*z**g - 8*z + z**2 = 0. What is z?
-1, 3
Let f(z) be the third derivative of -5*z**3 + 1/12*z**5 + 0*z + 0 - 13*z**2 + 5/24*z**4. Factor f(h).
5*(h - 2)*(h + 3)
Let j(q) be the first derivative of -q**6/2340 + q**5/780 + q**4/78 - 10*q**3/3 - 19. Let s(p) be the third derivative of j(p). Solve s(u) = 0 for u.
-1, 2
Let z be (-153)/6 - (2 - 5/2). Let c be 1/(((-5)/z)/((-2)/(-5))). Find f, given that 0*f**3 - 1/3*f**4 + 0*f + 5/3*f**c - 4/3 = 0.
-2, -1, 1, 2
Let l be 3*(30/(-45))/((-1)/4). Suppose -3*z + l = z. Find o, given that 0 + 1/3*o**z - 2/3*o = 0.
0, 2
Find a, given that -8*a**4 + 99*a**3 - 97*a**3 + 11*a**4 + a**5 = 0.
-2, -1, 0
Let v(i) be the first derivative of 4/3*i**3 - 8*i**2 - 40 - 48*i. Solve v(z) = 0.
-2, 6
Let t(i) = i**3 + 1. Let h(m) be the second derivative of -14*m**6/3 + 47*m**5/4 - 55*m**3/6 + 10*m**2 + 8*m. Let x(k) = h(k) - 30*t(k). What is n in x(n) = 0?
-2/7, -1/4, 1
Let j(q) be the third derivative of -q**8/84 - 34*q**7/105 - 103*q**6/30 - 89*q**5/5 - 48*q**4 - 72*q**3 - 16*q**2 - 3. Determine p so that j(p) = 0.
-6, -3, -1
Suppose -8*t - 115 = -31*t. Let f(v) be the third derivative of 0*v + 3*v**2 + 1/30*v**t + 0 - 1/12*v**4 - 2/3*v**3. Factor f(a).
2*(a - 2)*(a + 1)
Suppose 3*k + 37 = 13. Let z be k/36 - (28/36 - 1). Determine w, given that 0*w + 1/3*w**3 - 1/3*w**2 + z = 0.
0, 1
Suppose 13*r + 245 - 271 = 0. Factor -3*q - 15/2*q**r + 9/2.
-3*(q + 1)*(5*q - 3)/2
Let z(x) be the first derivative of 2*x**3/45 - 62*x**2/5 + 5766*x/5 - 248. Find r such that z(r) = 0.
93
Let y(q) be the third derivative of 0 + 0*q - 5*q**2 - 1/16*q**4 + 1/80*q**6 - 1/20*q**5 + 1/2*q**3. Factor y(n).
3*(n - 2)*(n - 1)*(n + 1)/2
Let o be ((-14)/10 - -1)/(-1). Suppose 64*i - 25 = 62*i + 5*r, 25 = i - 5*r. Suppose i + o*h**3 + 8/5*h - 8/5*h**2 = 0. What is h?
0, 2
Let t(j) = -12*j**4 + 43*j**3 + 229*j**2 + 427*j + 233. Let z(a) = 3*a**4 + a**3 + a**2 + a + 2. Let l(v) = t(v) + 5*z(v). Factor l(p).
3*(p + 1)*(p + 3)**2*(p + 9)
Let p(z) = 3*z**2 - z + 9. Let d = -83 - -57. Let w(j) = -j**2 - 2. Let o(k) = d*w(k) - 6*p(k). Determine u, given that o(u) = 0.
-1, 1/4
Let q = 78 + -77. Let h be -3 + (-20)/(-8)*(3 - q). Factor 0 + 6/11*o**h - 2/11*o**3 - 4/11*o.
-2*o*(o - 2)*(o - 1)/11
Let f = 2099 + -2095. Factor 0 + 1/3*c**2 + 2/3*c**3 - 1/3*c**f - 2/3*c.
-c*(c - 2)*(c - 1)*(c + 1)/3
Let k(n) be the third derivative of 1/60*n**4 + 0*n + 0 + 0*n**3 - 4*n**2 + 1/150*n**5. Let k(d) = 0. What is d?
-1, 0
Let h(t) be the third derivative of t**7/1575 + 7*t**6/900 - t**5/450 - 7*t**4/180 - 18*t**2 - t. What is i in h(i) = 0?
-7, -1, 0, 1
Let s(q) be the second derivative of q**4/84 + 10*q**3/21 + 50*q**2/7 - q. Factor s(b).
(b + 10)**2/7
Let b(y) be the first derivative of 22 - 3/5*y**2 - 9/5*y - 1/15*y**3. Factor b(j).
-(j + 3)**2/5
Suppose -3*u = -5*p - 26, 14 = u - 0*p - 3*p. Let 4*o**3 + 4/3*o**u - 4*o + 4/3*o**4 - 8/3 = 0. What is o?
-2, -1, 1
Let y(l) = 22*l - 702. Let z be y(32). Suppose 2/13*f + 6/13*f**z + 0 = 0. What is f?
-1/3, 0
Let w(m) be the second derivative of -m**5/10 + 2*m**4/3 - 5*m**3/3 + 2*m**2 - 2*m + 66. Factor w(q).
-2*(q - 2)*(q - 1)**2
Let n(c) = 120*c**3 + 93*c**2 - 27*c. Let w(q) = -60*q**3 - 47*q**2 + 13*q. Let z(s) = 4*n(s) + 9*w(s). Factor z(p).
-3*p*(p + 1)*(20*p - 3)
Let z(l) be the second derivative of 0 - 1/24*l**4 - 81/4*l**2 - 3/2*l**3 - 36*l. Factor z(i).
-(i + 9)**2/2
Let r = -16 + 18. Determine x, given that 1 + 5*x - 11 + 25*x**3 + 0 + 40*x**r = 0.
-1, 2/5
Let z(u) be the first derivative of 1/2*u + 3/20*u**5 - 5/8*u**2 + 13 + 5/16*u**4 - 5/12*u**3. Solve z(g) = 0.
-2, -1, 1/3, 1
Suppose 5*i - 4*i - 5 = 0. Suppose 4*b - 2*f = 8*b - 6, -2*b + 9 = -i*f. Factor 0*z + 1/2*z**b + 0.
z**2/2
Let g(u) be the third derivative of -u**5/100 - 21*u**4/20 - 441*u**3/10 - u**2 - 128. Factor g(z).
-3*(z + 21)**2/5
Suppose 18*q - 150 = -12*q. Find j, given that 1/5*j**q + 8/5*j - 1/5*j**4 + 4/5 - j**3 + 1/5*j**2 = 0.
-1, 2
Let x(t) be the first derivative of -3*t**5/10 + 33*t**4/8 - 315. Factor x(u).
-3*u**3*(u - 11)/2
Let y be 1 - 3/(-9)*-3. Factor -4 + 3*p**2 + y*p**2 + 2*p**2 - 6 - 5*p.
5*(p - 2)*(p + 1)
Let v(y) be the first derivative of -1/6*y**3 - 3*y + 1/12*y**4 - 1/30*y**6 + 0*y**2 + 1/20*y**5 + 2. Let x(c) be the first derivative of v(c). Factor x(q).
-q*(q - 1)**2*(q + 1)
Let p(c) be the second derivative of -c**8/168 + c**7/70 + c**6/60 + 25*c**2/2 - 36*c. Let k(f) be the first derivative of p(f). Let k(o) = 0. What is o?
-1/2, 0, 2
Let f(s) be the third derivative of -s**8/378 + 38*s**7/945 + 14*s**6/45 + 89*s**5/135 + 13*s**4/27 + 893*s**2. Determine i, given that f(i) = 0.
-2, -1, -1/2, 0, 13
Let b(c) = -13*c**2 + 7*c + 12. Let m(j) = 7*j**2 - 4*j - 6. Let s(z) = -6*b(z) - 11*m(z). Let o be s(2). Suppose 2/7 + 64/7*q**o - 24/7*q = 0. What is q?
1/8, 1/4
Let i(d) be the first derivative of -d**3/3 + d**2 + 2*d - 21. Let z be i(0). Find c such that -8/5*c - 8/5 + 6/5*c**z = 0.
-2/3, 2
Suppose -5*a + g = 48, -3*g + 13 + 41 = -5*a. Let t(f) = f**3 + 7*f**2 - 19*f - 7. Let c be t(a). Factor -1/4*q - 1/4*q**c + 0 + 1/4*q**3 + 1/4*q**4.
q*(q - 1)*(q + 1)**2/4
Let r(c) be the second derivative of -2*c**6/75 - 113*c**5/150 + 19*c**4/90 - c + 20. Factor r(l).
-2*l**2*(l + 19)*(6*l - 1)/15
Suppose r - 3*w - 5 = 0, r + 52*w - 47*w + 3 = 0. Find p, given that 1/4 + 3/2*p + p**4 + 3*p**3 + 13/4*p**r = 0.
-1, -1/2
Factor 53*b**3 - 50*b**3 - 12*b**2 - 25 - 47 - 87*b.
3*(b - 8)*(b + 1)*(b + 3)
Suppose -s + 0*s = -10. Let g = s - 8. Solve -4*n**2 - 4*n**4 - g + 10*n**2 - 2*n - 3*n**3 + 0*n + 5*n**3 = 0.
-1, -1/2, 1
Find z, given that -2*z**5 + 44/3*z**4 - 62/3*z**3 - 80/3*z**2 + 0 + 32/3*z = 0.
-1, 0, 1/3, 4
Suppose 13 = 20*w + 13. Let s(x) be the third derivative of 1/20*x**5 - 1/36*x**4 + w*x + 0*x**3 - 6*x**2 + 1/180*x**6 - 1/70*x**7 + 0. Let s(n) = 0. What is n?
-1, 0, 2/9, 1
Let v = 37 - 34. Determine g so that -g - 3*g + v*g + 0*g**2 + g**2 = 0.
0, 1
Suppose 2*l + 3 = -37. Let b = 22 + l. Determine y, given that -1/4*y**b - 1/4*y**3 + 0 + 0*y = 0.
-1, 0
Let -18/11*s**2 - 2 + 2/11*s**3 - 42/11*s = 0. What is s?
-1, 11
Let w(n) = -7*n**3 - 6*n**2 - 6*n - 14. Let j(i) = i**3 - i + 1. Let f(u) = -6*j(u) - w(u). Factor f(c).
(c + 2)**3
Suppose 0 = -2*p + 4*b - 2, -4*b = 4*p - 7 - 25. Suppose -5*z - 5 + p = 0. Factor -4/3*a + 2/3*a**2 + z.
2*a*(a - 2)/3
Factor -5/2*j - 11/4 + 1/4*j**2.
(j - 11)*(j + 1)/4
Let b(u) be the first derivative of -u**5/30 + u**4/3 - u**3 + 35*u**2/2 - 5. Let g(o) be the second derivative of b(o). Factor g(m).
-2*(m - 3)*(m - 1)
Let z be (28/(-6))/((-5 + 14)/(-27)). Suppose z*j = 16*j - 4. Let 0 - 2/7*q**j + 2/7*q = 0. What is q?
0, 1
Suppose 2*d = -3*v + 4, 4*v + 4 = 2*d - v. Solve -10 + 19*g + 11*g + 15*g**d - 10*g - 10 = 0.
-2, 2/3
Let v be (6/(-10) - -1)/((-13)/(-325)). Factor 1 + z**2 - 18*z + 6*z + v*z.
(z - 1)**2
Let g(n) be the first derivative of 4*n**3/3 + 66*n**2 + 360*n + 256. Factor g(o).
4*(o + 3)*(o + 30)
Let g(o) be the first derivative of -5*o**6/6 + 16*o**5/5 - 47*o**4/1