t s be 2/(-6)*0*-1. Let x(y) be the second derivative of s + 2*y - 4/3*y**2 + 7/15*y**6 - 17/18*y**4 + 2/3*y**5 - 20/9*y**3. Determine o, given that x(o) = 0.
-1, -2/3, -2/7, 1
Let u be (-4)/4 + 124/36 + -2. Find l, given that 4/9*l**2 + 2/9 - 2/9*l**5 + 2/3*l - u*l**3 - 2/3*l**4 = 0.
-1, 1
Let u(l) = l**2 - l + 2. Suppose -4*o - 3*m - 22 = -7, -15 = -3*o + 3*m. Let z be u(o). Suppose -8*s**2 + 4*s**z + 2*s**2 = 0. What is s?
0
Suppose -4*v = -3*g + 2, v + 4*v - 7 = -g. Factor -8*u - 2/3*u**3 - 16/3 - 4*u**g.
-2*(u + 2)**3/3
Suppose 4*q = q, -4*n + 20 = 3*q. Suppose 0 + 10 = 5*t. Factor 0 + t*v**n - 1/2*v + 1/2*v**2 + 11/2*v**4 + 9/2*v**3.
v*(v + 1)**3*(4*v - 1)/2
Suppose 5*b + 1 = z + 12, 3*b - 4 = -2*z. Let 3 - 27/2*c + 21/2*c**b = 0. Calculate c.
2/7, 1
Suppose -4*t + 3*r = 8*r - 13, -5*t + 14 = 4*r. Let -1/3*v**t + 1/3*v + 2/3 = 0. Calculate v.
-1, 2
Let l(q) be the second derivative of -q**7/2520 - q**3/3 + 2*q. Let h(j) be the second derivative of l(j). Determine t, given that h(t) = 0.
0
Solve 30*f**3 + 45*f**2 - 545 + 5*f**4 + 545 = 0 for f.
-3, 0
Let h(q) be the first derivative of 3 + q - 1/5*q**5 - q**2 + 1/2*q**4 + 0*q**3. Suppose h(j) = 0. Calculate j.
-1, 1
Let s be 22/(-3)*11/(-110). Let u(i) be the second derivative of -2/5*i**2 - 1/5*i**3 - 2*i + 3/50*i**5 + s*i**4 - 4/15*i**6 + 0. What is x in u(x) = 0?
-1, -1/4, 2/5, 1
Let t be (12/(-8))/(15/(-7)). Let v(k) be the second derivative of 0 - 3*k + 3/14*k**7 + 4/5*k**5 - t*k**6 + 0*k**3 + 0*k**2 - 1/3*k**4. Factor v(o).
o**2*(o - 1)*(3*o - 2)**2
Find i such that 11*i**5 + 64*i**2 - 4*i**3 + 2*i**5 + 21*i + 54*i**4 + 90*i**3 + 2 = 0.
-1, -2/13
Suppose 2*l = -3*z - z + 8, 0 = -5*l - 3*z + 13. Let a(o) be the first derivative of 2*o - o**l + 2 - 2/3*o**3 + 1/2*o**4. Factor a(q).
2*(q - 1)**2*(q + 1)
Let i(k) be the third derivative of 1/60*k**4 + 0*k + 0 + 0*k**3 - 1/150*k**5 - 2*k**2. Factor i(d).
-2*d*(d - 1)/5
Let a be 3/5 - (-381)/30. Let v = 27/2 - a. Factor -v*l + 1/5*l**2 + 0.
l*(l - 1)/5
Let b be (3/8)/(12/16). Factor 0*a + 1/2*a**2 + 0*a**3 + 0 - b*a**4.
-a**2*(a - 1)*(a + 1)/2
Let m(u) be the third derivative of -u**6/120 + u**5/15 - 5*u**4/24 + u**3/3 + 5*u**2. Factor m(c).
-(c - 2)*(c - 1)**2
Let s = 1 + -6. Let r be 8/s*(-5)/14. Suppose -r*m**2 + 2/7*m**4 + 2/7 + 0*m**3 + 0*m = 0. Calculate m.
-1, 1
Let i(r) be the first derivative of r**6/50 - r**4/10 + 3*r**2/10 - 3*r + 4. Let v(s) be the first derivative of i(s). Solve v(k) = 0 for k.
-1, 1
Let g(q) be the third derivative of 0*q + 3/40*q**6 - 1/42*q**7 - 7/60*q**5 + 1/336*q**8 + 1/12*q**4 + 0 + 0*q**3 - 9*q**2. Factor g(z).
z*(z - 2)*(z - 1)**3
Let o(u) be the third derivative of 1/48*u**4 + 0 + 0*u + 1/6*u**3 - 1/40*u**5 + 2*u**2. Factor o(f).
-(f - 1)*(3*f + 2)/2
Solve 0 + 2/5*d - 1/5*d**2 - 2/5*d**3 + 1/5*d**4 = 0 for d.
-1, 0, 1, 2
Let -8/3*t + 0 - 10/3*t**3 + 16/3*t**2 + 2/3*t**4 = 0. What is t?
0, 1, 2
Let w(l) be the first derivative of l**6/540 - 2*l**5/45 + 4*l**4/9 + 3*l**3 + 8. Let y(i) be the third derivative of w(i). Factor y(h).
2*(h - 4)**2/3
Suppose 0 = -2*q - 0*q + 8. Factor -2*j - 3*j**3 + j**3 - q + 8*j.
-2*(j - 1)**2*(j + 2)
Suppose 4*n - 38 = 42. Suppose g = -2*w - 3*g + n, 0 = -g + 4. Factor m**4 + 0*m**3 - 1/2*m**5 + 0 + 1/2*m - m**w.
-m*(m - 1)**3*(m + 1)/2
Let b(j) = 60*j + 2. Let x be b(0). Factor -6*m - 3/2*m**x - 8 - 1/8*m**3.
-(m + 4)**3/8
Suppose -4*d**5 + 90*d**3 + 12*d**4 + 88*d**3 - 186*d**3 = 0. Calculate d.
0, 1, 2
Let x = -22 - -23. Let j(m) be the first derivative of 0*m**2 + 1/9*m**6 - x - 4/15*m**5 + 0*m**3 + 0*m + 1/6*m**4. Factor j(r).
2*r**3*(r - 1)**2/3
Suppose -7*q = -5*q - 4. Solve 0*u + 2/3*u**3 - q*u**2 + 8/3 = 0 for u.
-1, 2
Let f(z) be the first derivative of z**5/150 + z**4/20 - 9*z**2/2 + 3. Let a(h) be the second derivative of f(h). Factor a(u).
2*u*(u + 3)/5
Let h = 1984/7 - 280. Suppose -8 = -3*s - s. Factor -h*p - 16/7 - 2/7*p**3 - 12/7*p**s.
-2*(p + 2)**3/7
Suppose 3*q + 1 - 16 = -3*g, 0 = 2*g - 6. Factor 8*d + 0 + 2 - 5*d**q - 5 + d**3 - 1.
(d - 2)**2*(d - 1)
Let d(c) be the first derivative of -c**5 + 5*c**4/4 + 5*c**3/3 - 5*c**2/2 + 3. Let d(v) = 0. Calculate v.
-1, 0, 1
Let k = 55 - 49. Let w(f) be the third derivative of -4/15*f**5 + 3*f**2 - 4/35*f**7 + 0*f - 19/60*f**k + 0 - 1/12*f**4 + 0*f**3. What is c in w(c) = 0?
-1, -1/3, -1/4, 0
Let j(u) be the second derivative of -u**6/120 + u**5/12 - u**4/3 + 2*u**3/3 - u**2/2 + 2*u. Let b(f) be the first derivative of j(f). Factor b(z).
-(z - 2)**2*(z - 1)
Let i(t) = -4*t**4 + 8*t**3 - 8*t + 4. Let r(q) = -6*q**4 + 12*q**3 - 12*q + 6. Let u(w) = 8*i(w) - 5*r(w). Find j such that u(j) = 0.
-1, 1
Let l = 1/560 - 13721/560. Let s = l - -25. Factor u + 0 + s*u**2.
u*(u + 2)/2
Let g = -83591/4 - -543415/26. Let u = g + -27/13. Find z such that 0*z**3 + 0*z**2 - 3/4*z**4 + u*z**5 + 0 + 0*z = 0.
0, 1
Let q(i) = -i - 1. Let d(z) = -3*z**2 + 6*z + 6. Let w(r) = -r + 11. Let u be w(-7). Suppose -2*m = -2 - 0. Let v(o) = m*d(o) + u*q(o). Factor v(p).
-3*(p + 2)**2
Let f(k) be the third derivative of k**6/24 - k**5/12 - 5*k**4/24 + 5*k**3/6 + 37*k**2. What is m in f(m) = 0?
-1, 1
Find g, given that -67*g**3 - 20*g**2 - 16 - 38*g**3 + 64*g + 5*g**3 = 0.
-1, 2/5
Let b(z) be the third derivative of z**2 - 1/105*z**7 + 0*z + 0*z**3 + 1/60*z**6 + 0 + 0*z**5 + 0*z**4. Factor b(t).
-2*t**3*(t - 1)
Let g(q) be the first derivative of 1/2*q + 7 - 1/16*q**4 + 1/4*q**3 - 1/20*q**5 + 5/8*q**2. Determine u so that g(u) = 0.
-1, 2
Let h(z) = 4*z**4 - 12*z**3 + 18*z**2 - 4*z + 6. Let o(v) = -v**2 - 1. Let u(b) = -h(b) - 6*o(b). Suppose u(j) = 0. Calculate j.
0, 1
Suppose 0 = -f - 3*f + 8. What is t in 0*t**4 + 2*t**4 - t**2 + 4*t**3 + f*t**2 + t**2 = 0?
-1, 0
Let n(j) be the second derivative of -j**6/45 - j**5/5 - 2*j**4/3 - 8*j**3/9 - 12*j. Factor n(z).
-2*z*(z + 2)**3/3
Suppose 3*b - 7 = 8. Suppose -b = -5*j - 0. Let -m + 3 - j + 5*m + 2*m**2 = 0. What is m?
-1
Let v = 182 - 180. Let k(u) be the second derivative of 1/2*u**2 - 1/3*u**3 + 0 - 1/30*u**6 + v*u + 0*u**4 + 1/10*u**5. Let k(q) = 0. What is q?
-1, 1
Let j be (-4)/16*(-2 + (3 - 2)). Factor -j*c + 0 - 1/4*c**2.
-c*(c + 1)/4
Let x(b) = -b**4 - b**3 + b**2 + b + 1. Let i(j) = -18*j**4 - 24*j**3 + 9*j**2 + 15*j + 15. Let w(q) = -i(q) + 15*x(q). Factor w(g).
3*g**2*(g + 1)*(g + 2)
Suppose i + 21 = -27. Let d = -191/4 - i. Solve 0*q**2 - d*q**4 + 1/4 + 1/2*q - 1/2*q**3 = 0 for q.
-1, 1
Suppose 6 - 2 = -3*q + f, -5*f + 20 = 5*q. Let b(r) be the second derivative of -2*r + 1/15*r**3 + 0 + q*r**2 - 1/30*r**4. Find g, given that b(g) = 0.
0, 1
Let s(g) be the third derivative of 8*g**7/105 + 11*g**6/15 + 3*g**5 + 27*g**4/4 + 9*g**3 - 2*g**2. Solve s(a) = 0.
-3/2, -1
Let z be 14/(-10) + ((-7)/(-7) - -1). Factor -z*l**5 + 0 + 0*l - 3/5*l**2 - 9/5*l**3 - 9/5*l**4.
-3*l**2*(l + 1)**3/5
Let c = 646 - 1291/2. Determine p, given that -9/2*p**3 + 13/2*p**4 - 5/2*p**5 - c*p**2 + 0 + p = 0.
-2/5, 0, 1
Factor -10/3*u**3 + 8/3*u**4 - 2/3*u**5 + 0*u + 4/3*u**2 + 0.
-2*u**2*(u - 2)*(u - 1)**2/3
Let u(b) be the second derivative of b**8/13440 - b**7/1120 + b**6/240 - b**5/120 - b**4/3 - b. Let j(f) be the third derivative of u(f). Factor j(w).
(w - 2)**2*(2*w - 1)/4
Let w(i) be the first derivative of i**5/40 - i**4/12 + i**3/12 + i - 3. Let x(v) be the first derivative of w(v). Suppose x(k) = 0. What is k?
0, 1
Let x be 25/(-4)*(-6)/15. Let s(k) be the first derivative of -2 - 6*k**2 - 3/8*k**4 - x*k**3 - 6*k. Suppose s(u) = 0. What is u?
-2, -1
Suppose 2*m - 4 = 2. Let -2 - 2 + 18*a + m*a**3 + 0*a**3 + 7*a**3 - 24*a**2 = 0. Calculate a.
2/5, 1
Suppose 0 = -2*n - 0*n + 380. Let s = n + -560/3. Find q, given that -4/3*q + 6*q**2 + s*q**4 - 8*q**3 + 0 = 0.
0, 2/5, 1
Let l(c) be the first derivative of -11*c**6/9 + 6*c**5/5 + 35*c**4/6 - 10*c**3/9 - 8*c**2 - 8*c/3 - 67. Find t, given that l(t) = 0.
-1, -2/11, 1, 2
Let j(r) be the second derivative of r**6/45 + r**5/15 + r**4/18 + 21*r. Factor j(k).
2*k**2*(k + 1)**2/3
Suppose -48 - 12*a**2 - 80*a + 8*a**4 + 15*a**3 + 9*a**3 - 4*a**4 = 0. Calculate a.
-6, -1, 2
Let k be (-595)/(-49) + -8 - 3. Factor 4/7 - 10/7*a**3 + k*a**2 + 22/7*a.
-2*(a - 2)*(a + 1)*(5*a + 1)/7
Let t(w) be the second derivative of w**7/378 + w**6/135 - w**5/60 - 2*w**4/27 - 2*w