2*l, l = -z + u. Find o, given that -2*o**3 + 2*o**4 + 2*o**5 - 6*o**2 + 3*o**2 + o**l = 0.
-1, 0, 1
Let z(u) be the first derivative of u**7/168 - u**5/80 - 2*u - 3. Let a(w) be the first derivative of z(w). Let a(g) = 0. Calculate g.
-1, 0, 1
Let y(f) be the first derivative of f**4/4 + f**3/3 + 10. Factor y(r).
r**2*(r + 1)
Let o(g) = g - 4. Let t be o(5). Suppose i - 1 = t. Factor 0*c**3 + 1/2*c**4 + 0*c + 0 + 0*c**i.
c**4/2
Let y(m) be the first derivative of -2*m**5/5 - 3*m**4/2 + 8*m**3/3 + 2. Determine u, given that y(u) = 0.
-4, 0, 1
Let t(v) = -13*v**2 + v. Let d(a) = 116*a**2 - 10*a. Suppose 3*u + 19 = h + 2, -2*h = 2. Let k(x) = u*d(x) - 52*t(x). Factor k(b).
-4*b*(5*b - 2)
Let y = 4529/135 + -167/5. Let l(t) be the first derivative of 0*t**2 + 2 - 2/45*t**5 - 2/9*t + y*t**3 + 0*t**4. Let l(a) = 0. What is a?
-1, 1
Let a(p) be the third derivative of p**6/220 - 6*p**5/11 + 300*p**4/11 - 8000*p**3/11 + 40*p**2. Find z such that a(z) = 0.
20
Let l(b) be the first derivative of 2/5*b**2 + 8 - 2/15*b**3 + 0*b. Factor l(q).
-2*q*(q - 2)/5
Let y = -94 + 96. What is k in 6/5*k**3 + 2/5*k - 2/5 + y*k**2 = 0?
-1, 1/3
Suppose 0 = -3*g + 6. Factor -3*h - h - 4*h**g - 1 + 6*h + 3*h.
-(h - 1)*(4*h - 1)
Let w(n) be the third derivative of 0*n**3 + 0*n**4 + 1/210*n**5 - n**2 + 0 + 0*n. Solve w(z) = 0.
0
Let a(d) be the second derivative of d**5/40 - d**3/12 - 6*d. Suppose a(x) = 0. What is x?
-1, 0, 1
Let d = 12 + -12. Let b(w) be the second derivative of d*w**3 + 2*w - 1/18*w**4 + 0 + 0*w**2. Let b(g) = 0. Calculate g.
0
Find t such that 4*t**2 + 30*t + 16 + 50*t**2 + 10*t**3 + 30*t = 0.
-4, -1, -2/5
Let b(o) be the second derivative of o**7/315 + o**6/45 + 7*o**5/150 + o**4/30 + 21*o. Let b(m) = 0. Calculate m.
-3, -1, 0
Let h(o) be the first derivative of 0*o**2 - 5/14*o**4 + 2/21*o**3 + 0*o + 8/35*o**5 - 3. Factor h(l).
2*l**2*(l - 1)*(4*l - 1)/7
Suppose 0 - 24 = 4*c + 4*t, -4*c = -2*t. Let k(y) = -y. Let o be k(c). Factor -5*l**2 + 2*l**2 + 2*l**o + l.
-l*(l - 1)
Let l(k) = k**2 - 2. Let q be l(-2). Suppose -3*j = q*x - 2, 0*x + 2 = 2*j + x. Solve j - 2*w**3 - 2*w**3 + 4*w - 2*w**4 - 2 + 2*w**2 = 0 for w.
-2, -1, 0, 1
Suppose 2*a = -4*w + 16, -w = -4*a - 2 + 16. Solve 2*i**a + 0*i**5 + i**5 + 0*i**3 + i**3 = 0 for i.
-1, 0
Suppose -6/11*h**3 + 0*h**4 + 0 + 4/11*h**2 + 2/11*h**5 + 0*h = 0. Calculate h.
-2, 0, 1
Suppose 5*p - 22 = -3*q - 0*p, 0 = 2*q + 5*p - 18. Factor -11 - q*n + 7 + 2*n**2 + 2*n.
2*(n - 2)*(n + 1)
Let x(l) be the third derivative of l**7/140 + l**6/80 - 3*l**5/40 - 5*l**4/16 - l**3/2 + 10*l**2. Solve x(h) = 0.
-1, 2
Determine k so that 0*k**5 - 3*k**4 + 0*k**5 + k**5 + 6*k**4 = 0.
-3, 0
Suppose 0 = 2*r - l - 3, 5*l = -8*r + 10*r - 15. Let -3/4*g**5 + r + 0*g**2 + 3/4*g**4 + 0*g + 0*g**3 = 0. What is g?
0, 1
Let i(w) be the third derivative of 0 + 1/180*w**5 + 1/18*w**3 + 1/36*w**4 + 0*w + 4*w**2. Determine t so that i(t) = 0.
-1
Let v(y) be the third derivative of -2*y**7/105 - 4*y**6/15 - 13*y**5/15 - y**4 - 10*y**2. Factor v(o).
-4*o*(o + 1)**2*(o + 6)
Let z = 13/9 - 11/9. Factor -2/9*w**3 + 2/9 + 2/9*w - z*w**2.
-2*(w - 1)*(w + 1)**2/9
Let v(b) be the first derivative of 4*b**3/3 - 4*b + 5. Factor v(y).
4*(y - 1)*(y + 1)
Suppose 3*p = -0*p. Suppose 4 = -2*q + r + 7, 4*q - 4*r - 12 = p. Factor q - 4/9*v - 14/9*v**2.
-2*v*(7*v + 2)/9
Let b = 187 - 1681/9. Factor -2/9*m**3 - 4/9 + 4/9*m**2 + b*m.
-2*(m - 2)*(m - 1)*(m + 1)/9
Suppose 0 = -7*x + 249 - 228. Suppose -1/2*p + p**4 + 0*p**x + 0 - p**2 + 1/2*p**5 = 0. Calculate p.
-1, 0, 1
Let i(j) be the third derivative of 0 - 1/210*j**7 + 0*j**3 + 0*j**5 - 1/6*j**4 + 0*j + 1/40*j**6 - 4*j**2. What is a in i(a) = 0?
-1, 0, 2
Suppose h - 5*c = 2, -h - 1 = 3*c - 3. Let x(l) be the third derivative of 1/12*l**3 + 1/120*l**5 + h*l**2 + 0 + 0*l + 1/24*l**4. Factor x(j).
(j + 1)**2/2
Let j be 2/(-1) - -10 - 2. Suppose -k - j = -3*k. Suppose -2*o**k + 24/5*o**4 + 4/5 - 28/5*o**2 + 2*o = 0. What is o?
-1, -1/4, 2/3, 1
Let x(i) be the second derivative of 6*i**7/91 - 17*i**6/39 + 72*i**5/65 - 109*i**4/78 + 12*i**3/13 - 4*i**2/13 + 20*i. What is s in x(s) = 0?
2/9, 1/2, 1, 2
Let o(l) be the second derivative of -l**6/10 + 5*l**5/4 - 9*l**4/4 - 3*l**3/2 + 7*l**2 + 16*l. What is b in o(b) = 0?
-2/3, 1, 7
Let w(u) be the second derivative of u**6/120 + u**5/80 - u**4/24 - 4*u. Factor w(r).
r**2*(r - 1)*(r + 2)/4
Suppose 5 = 3*o - 1. Let y be 7/o + 4/(-8). Find u such that 4*u**4 - u**4 - 2*u**y - 2*u**4 = 0.
0, 2
Let q(n) = n**2 + 6*n - 5. Let p be q(-7). Determine j so that 2*j + 2/5 + 8/5*j**p = 0.
-1, -1/4
Suppose 2*r + 2*r = -n + 19, -3*r = -4*n. Suppose -2*y = -y, -r = -2*w - 5*y. Find p such that -p + 2*p + w*p**3 - 3*p = 0.
-1, 0, 1
Let t(s) be the first derivative of -s**4/18 - s**3/9 + 2*s**2/3 - 5*s - 5. Let a(p) be the first derivative of t(p). Suppose a(h) = 0. Calculate h.
-2, 1
Let -3*d**2 - 3/5*d + 3/5*d**3 + 3 = 0. Calculate d.
-1, 1, 5
Let d(m) be the third derivative of m**8/12600 - m**7/2100 + m**6/1350 - m**3 + 6*m**2. Let o(l) be the first derivative of d(l). Factor o(x).
2*x**2*(x - 2)*(x - 1)/15
Let k(v) be the third derivative of -1/210*v**5 - 3*v**2 - 2/21*v**3 + 0*v - 1/28*v**4 + 0. Factor k(s).
-2*(s + 1)*(s + 2)/7
Let w(p) be the second derivative of 3*p**6/10 + 3*p**5/4 - 5*p**4/4 - 5*p**3/2 + 3*p**2 + 40*p. Let w(d) = 0. Calculate d.
-2, -1, 1/3, 1
Let a(w) be the third derivative of 0*w + 1/12*w**4 - 1/105*w**7 + 0*w**3 + 0 - 1/60*w**6 + 1/30*w**5 + w**2. Factor a(s).
-2*s*(s - 1)*(s + 1)**2
Let s = -11 - -13. Let b = 0 - -3. Solve -2*k**b + k**3 - 2*k**3 + k**3 - 2*k**s = 0 for k.
-1, 0
Let q(n) be the second derivative of 3*n**5/20 - 3*n**3/2 + 3*n**2 + 9*n. Factor q(w).
3*(w - 1)**2*(w + 2)
Let x(o) be the second derivative of -o**4/48 - o**3/12 - 3*o. Solve x(l) = 0 for l.
-2, 0
Let l(g) be the second derivative of -9/20*g**5 - 2*g + g**4 + 0 - 2/3*g**3 + 0*g**2. Solve l(a) = 0.
0, 2/3
Let y(f) be the first derivative of 3*f**5/25 - f**4/10 - 3*f**3/5 + 6*f**2/5 - 4*f/5 + 32. Factor y(n).
(n - 1)**2*(n + 2)*(3*n - 2)/5
Let b(o) = 89*o**3 + 231*o**2 - 300*o + 89. Let t(k) = 22*k**3 + 58*k**2 - 75*k + 22. Let l(n) = 2*b(n) - 9*t(n). Factor l(v).
-5*(v + 4)*(2*v - 1)**2
Solve -1 + m**2 + 5/2*m - 5/2*m**3 = 0.
-1, 2/5, 1
Suppose 0 = 5*c + 9 - 34. Factor -5*y**c - 7*y**4 - y**4 + y**5 + 0*y**4.
-4*y**4*(y + 2)
Let d(q) = q - 4. Let k be d(4). Let f be (4 - k) + -1 + 0. What is v in f*v + 0*v**2 + v**2 - 2*v = 0?
-1, 0
Let f be 4/(-8) + (-2)/(-4). Let 16/7*p**2 + 8/7*p - 6/7*p**5 - 2/7*p**3 - 16/7*p**4 + f = 0. What is p?
-2, -1, -2/3, 0, 1
Let p(d) be the second derivative of 2*d**5/15 - 5*d**4/18 - 7*d**3/9 + 2*d**2/3 - 4*d. Factor p(w).
2*(w - 2)*(w + 1)*(4*w - 1)/3
Factor 0 + 5*a**2 - 5/4*a - 15/4*a**3.
-5*a*(a - 1)*(3*a - 1)/4
Let a(b) be the first derivative of b**5/12 - 7*b**4/24 + b**3/3 - b**2 + 3. Let v(h) be the second derivative of a(h). Let v(y) = 0. Calculate y.
2/5, 1
Let i(z) = z**3 - z**2. Let p(d) be the first derivative of 3*d**4/4 - 5*d**3 - 3*d**2 - 1. Let x(f) = -6*i(f) + p(f). Let x(u) = 0. What is u?
-2, -1, 0
Suppose n + 0*n + 4 = 3*p, 4*n = -5*p + 1. Let s(g) be the first derivative of -1/2*g**2 + p + 5/6*g**3 + 0*g. Determine y so that s(y) = 0.
0, 2/5
Let p = 65753/3554 + -2/1777. Let n = -18 + p. Find y such that 1/2 + n*y**4 - y**3 + 1/2*y + 1/2*y**5 - y**2 = 0.
-1, 1
Let u(x) be the third derivative of 0*x + 0*x**3 + 0*x**4 + 0 + 1/120*x**5 - 3*x**2. Factor u(d).
d**2/2
Let b(g) be the first derivative of 1/3*g**4 - 2/15*g**5 - 2/3*g**2 + 0*g**3 + 2/3*g + 8. Factor b(x).
-2*(x - 1)**3*(x + 1)/3
Suppose v + 1/4*v**2 + 0 - 1/4*v**4 - v**3 = 0. Calculate v.
-4, -1, 0, 1
Suppose 4*b - 9 = 3*n, 3*n + 9 + 0 = 0. What is u in 8*u**4 - 4*u**2 + b*u**2 + 6*u**2 - 10*u**3 = 0?
0, 1/4, 1
Let h(k) be the second derivative of k**6/15 + k**5/10 - 11*k. Factor h(o).
2*o**3*(o + 1)
Let v(h) be the first derivative of h**5/40 + h**4/8 - h**2 - 5*h - 1. Let o(y) be the first derivative of v(y). Let o(l) = 0. What is l?
-2, 1
Let q(b) be the second derivative of -b**7/10 - 17*b**6/60 - 13*b**5/45 - b**4/9 + b**2/2 - 3*b. Let a(x) be the first derivative of q(x). Factor a(h).
-h*(3*h + 2)**2*(7*h + 2)/3
Let r(v) = -v**3 + 12*v**2 - 12*v + 14. Let m