 4/11*y**2 - z*y**4 - 2/11*y**5 = 0.
-1, 1
Solve 20 - 8*a - 28*a**3 - 36*a**2 - 20 = 0.
-1, -2/7, 0
Let f be (2/(-25))/(5/(-50)). Let d = 162/5 + -32. Find l, given that -d*l**2 + f - 2/5*l = 0.
-2, 1
Let d(k) = 2*k**4 + 7*k**3 - 2*k**2 + 7*k - 7. Let a(x) = -x**4 - 3*x**3 + x**2 - 3*x + 3. Let q(s) = -7*a(s) - 3*d(s). Factor q(h).
h**2*(h - 1)*(h + 1)
Let t = 172 - 169. Factor -3*n**t + 3/2*n**5 + 0*n**2 + 3/2*n + 0 + 0*n**4.
3*n*(n - 1)**2*(n + 1)**2/2
Let d(f) be the second derivative of -f**7/42 + f**6/15 + f**5/10 - 2*f**4/3 + 7*f**3/6 - f**2 - 8*f. Factor d(l).
-(l - 1)**4*(l + 2)
Solve -18*j**2 - 4*j + 10*j**5 + 20*j**4 - 3*j**3 - 9*j**3 + 6*j**5 - 2*j**2 = 0.
-1, -1/4, 0, 1
Let x(i) be the third derivative of -i**8/2520 + i**7/630 - i**5/90 + i**4/36 - i**3/6 + i**2. Let b(p) be the first derivative of x(p). Factor b(m).
-2*(m - 1)**3*(m + 1)/3
Let w = -25 - -15. Let v = -8 - w. Factor 2*p**v + 0*p + 2/3*p**3 - 8/3.
2*(p - 1)*(p + 2)**2/3
Let x be (-4 - -1)/3 - -1. Suppose -5*d + 2 = -3*d - 3*q, x = 5*d - q - 18. Determine j so that j**4 + 3 - 3*j**d - 6*j**2 + 5*j**4 = 0.
-1, 1
Let d(w) be the first derivative of -4*w**3/21 + 4*w**2/7 - 4*w/7 - 2. Solve d(q) = 0 for q.
1
Let u = 5/69 - -83/759. Let b(g) be the first derivative of -u*g**2 - 2 + 0*g - 14/33*g**3 - 3/22*g**4. Factor b(i).
-2*i*(i + 2)*(3*i + 1)/11
Let o(l) be the second derivative of l**6/6 - 5*l**4/12 - 30*l. Suppose o(h) = 0. Calculate h.
-1, 0, 1
Let c = 465/4 + -116. Factor 1/4*q**5 + 0 + 0*q**4 + c*q + 0*q**2 - 1/2*q**3.
q*(q - 1)**2*(q + 1)**2/4
Let u be 17*1 - (-2 - -4). Suppose 5*j + 0*j = a + 5, -j + u = -3*a. Let 3*x**2 - x**3 - 3 + j*x + 4 - 3*x = 0. Calculate x.
1
Let y(i) = i**2 - 9*i - 10. Let u be y(10). Solve 0*f + 0*f**3 - 1/2*f**4 + 0 + u*f**2 = 0 for f.
0
Let c(r) be the second derivative of -3*r**5/20 + 13*r**4/16 - 11*r**3/8 + 3*r**2/4 + 5*r. Solve c(w) = 0 for w.
1/4, 1, 2
Factor -1 - 3*o + 4 - 3 + 3*o**2.
3*o*(o - 1)
Let o(f) = -f**2 - 3*f. Let q(c) = c**2 - c + 1. Let p be q(-2). Let n(z) = 2*z**2 - z**2 - 5*z**2 - 10*z. Let t(h) = p*o(h) - 2*n(h). Factor t(m).
m*(m - 1)
Factor 2*o**2 + 0 + 2*o - 2 + 2*o**3 - 4*o.
2*(o - 1)*(o + 1)**2
Let g(o) be the second derivative of o**7/105 - o**6/75 - o**5/50 + o**4/30 - 6*o. Factor g(p).
2*p**2*(p - 1)**2*(p + 1)/5
What is h in 1 + 19*h + 9*h**2 - h**2 + 5 - 3*h**3 - 2*h**3 = 0?
-1, -2/5, 3
Let q(p) = 6*p**3 + 12*p**2 + 12*p + 3. Let d(y) = y**3 + y + 1. Let u(v) = -3*d(v) + q(v). Factor u(h).
3*h*(h + 1)*(h + 3)
Suppose 2*c - 10 = -3*c. Factor 0*z - c*z**4 + z**5 + 4*z**2 - z + 0*z**4 - 2*z**2.
z*(z - 1)**3*(z + 1)
Let w(z) = -z**2 - z - 1. Let i(o) = -2*o**2 - o - 2. Let n(p) = -i(p) + 3*w(p). Suppose n(f) = 0. Calculate f.
-1
Let g(s) be the second derivative of 3*s + 0*s**3 - 1/300*s**5 + 0 - 1/600*s**6 + 2*s**2 + 0*s**4. Let n(h) be the first derivative of g(h). Factor n(o).
-o**2*(o + 1)/5
Let o(z) = -16*z**3 - 30*z**2 + 108*z - 80. Let x(c) = c**3 + c - 1. Let v(q) = -2*o(q) - 36*x(q). Factor v(d).
-4*(d - 7)**2*(d - 1)
Let h(f) be the first derivative of -1/15*f**6 - 3 + 0*f**2 + 2/15*f**3 + 6/25*f**5 + 0*f - 3/10*f**4. Factor h(u).
-2*u**2*(u - 1)**3/5
Factor -14 - 2*g**2 - 31 + 14*g - 3*g**2 + 16*g.
-5*(g - 3)**2
Let g(p) be the first derivative of -p**5/10 - 13*p**4/40 + 11*p**3/30 + 13*p**2/20 - 3*p/5 + 1. What is h in g(h) = 0?
-3, -1, 2/5, 1
Let j(t) be the first derivative of t**5/150 - t**4/30 + t**3/15 - 2*t**2 + 4. Let v(p) be the second derivative of j(p). Factor v(y).
2*(y - 1)**2/5
Let p(b) = b**2 + 6*b + 5. Suppose -5*m + 2*z = 7*z + 40, 2*z = m - 1. Let h be p(m). Factor 4/11*y**2 - 4/11*y**4 - 2/11*y + 2/11*y**5 + 0*y**3 + h.
2*y*(y - 1)**3*(y + 1)/11
Let y(v) be the second derivative of 1/2*v**2 - 4*v + 1/24*v**4 + 1/4*v**3 + 0. Factor y(z).
(z + 1)*(z + 2)/2
Let a(x) be the third derivative of x**7/525 - x**6/75 + x**5/30 - x**4/30 - 31*x**2. Factor a(n).
2*n*(n - 2)*(n - 1)**2/5
Let p(q) be the first derivative of 2*q**6/3 - 4*q**5 + 7*q**4 + 4*q**3/3 - 16*q**2 + 16*q + 11. Determine f so that p(f) = 0.
-1, 1, 2
Let r(p) be the first derivative of 10*p**3/27 + 8*p**2/9 + 12. Suppose r(x) = 0. Calculate x.
-8/5, 0
Determine f, given that 0 + 0*f**4 + 4/15*f**3 + 0*f**2 - 2/15*f**5 - 2/15*f = 0.
-1, 0, 1
Let u(w) be the second derivative of w**4/8 - 3*w**3/2 + 27*w**2/4 - w. Factor u(o).
3*(o - 3)**2/2
Let y be 45/(-180) - (-3)/4. Factor 1 - 1/2*i - y*i**2.
-(i - 1)*(i + 2)/2
Let l be (-81)/(-96) + (-2 - -1). Let s = 29/32 + l. Factor 1/4 + s*r - r**2.
-(r - 1)*(4*r + 1)/4
Find j, given that j + j**3 - 2*j**3 + j**3 - j**3 = 0.
-1, 0, 1
Let c(p) = -3*p**3 + 3*p**2 - 4*p. Let h be c(3). Let z = h - -478/7. Suppose -12/7*l**2 - z + 2/7*l**3 + 24/7*l = 0. What is l?
2
Suppose 4*n + 3*t - 5 = 27, -2*n + t = -6. Let q(a) be the first derivative of 0*a - 1/15*a**n + 0*a**2 - 4/9*a**3 - 2 + 1/3*a**4. Factor q(c).
-c**2*(c - 2)**2/3
Let c(a) be the third derivative of a**7/735 - a**6/140 + a**5/210 + a**4/28 - 2*a**3/21 - 8*a**2. Solve c(y) = 0 for y.
-1, 1, 2
Let j(s) = -s**2 - 5*s + 5. Let f be j(-6). Let t be (-1 - f)/(10/5). Solve -2*m**2 - 4*m**2 + t*m**2 + 4*m**2 = 0 for m.
0
Let -7/4*u + 5/4*u**2 - 1/4*u**3 + 3/4 = 0. What is u?
1, 3
Let b = 20 + -20. Let w(q) be the second derivative of 1/120*q**6 + 1/48*q**4 - 1/40*q**5 + 0*q**3 + b*q**2 - 2*q + 0. Solve w(s) = 0 for s.
0, 1
Let q(u) be the first derivative of -5*u**4/2 + 44*u**3/3 - 28*u**2 + 16*u + 7. Factor q(x).
-2*(x - 2)**2*(5*x - 2)
Let r(q) be the first derivative of 5*q**6/27 + 2*q**5/15 - q**4/9 - 12. Factor r(w).
2*w**3*(w + 1)*(5*w - 2)/9
Let g be 3/(-1)*6/((-54)/15). Let v(t) be the third derivative of 0*t + 3*t**2 + 5/8*t**g + t**3 - 5/4*t**4 + 0. Suppose v(n) = 0. Calculate n.
2/5
Suppose 23*o = 22*o. Factor -2/7 + 2/7*y**2 + o*y.
2*(y - 1)*(y + 1)/7
Suppose 4*q + 0 + 28 = 0. Let l = 11 + q. Determine n so that 2*n**3 - 4*n**4 + 20*n**2 - l*n**4 + 4*n**5 - 2*n**5 + n - 9*n - 16 = 0.
-1, 2
Find n, given that -2/13*n**3 + 4/13*n**4 + 0*n**2 + 0*n + 0 - 2/13*n**5 = 0.
0, 1
Let j(n) be the second derivative of -n**6/120 + n**5/80 + n**4/48 - n**3/24 - 4*n. Factor j(u).
-u*(u - 1)**2*(u + 1)/4
Let t(b) be the first derivative of b**6/27 - 16*b**5/45 + 5*b**4/6 + 16*b**3/27 - 16*b**2/9 - 10. Find r such that t(r) = 0.
-1, 0, 1, 4
Suppose 5*y = -4*w - 3, -5*w - 4*y - y = 0. Factor n**w + 0*n**2 - 4*n + 6*n - 3*n**2.
n*(n - 2)*(n - 1)
Solve 0 + 2/3*i + 11/3*i**2 = 0.
-2/11, 0
Factor -8*s**4 + 22*s**4 - 10*s**4.
4*s**4
Let y = 20 - 18. Let j be y*(4/3 + -1). Let j + 4/3*k**3 - 2/3*k**4 - 4/3*k + 0*k**2 = 0. What is k?
-1, 1
Let a(c) be the third derivative of -c**8/70560 + c**6/2520 + c**5/20 + 3*c**2. Let q(g) be the third derivative of a(g). Factor q(t).
-2*(t - 1)*(t + 1)/7
Let v(o) be the third derivative of -1/20*o**6 + 0*o**3 + 0 + 0*o - o**2 - 1/105*o**7 - 1/10*o**5 - 1/12*o**4. Factor v(f).
-2*f*(f + 1)**3
Let u(x) be the third derivative of -x**6/120 + x**5/20 - x**4/8 + x**3/6 - 3*x**2. Let a(b) be the first derivative of u(b). Solve a(m) = 0 for m.
1
Let a(w) = 7*w**3 + 2*w**2 + 5*w - 5. Let z(d) = 3*d**3 + d**2 + 2*d - 2. Let n(y) = -6*a(y) + 15*z(y). Suppose n(b) = 0. What is b?
-1, 0
Let i(f) be the second derivative of -f**8/1512 + 2*f**7/945 - f**5/135 + f**4/108 - f**2/2 - f. Let o(g) be the first derivative of i(g). Factor o(r).
-2*r*(r - 1)**3*(r + 1)/9
Suppose z + 585 = 5*l, -5*l + 348 = -2*z - 237. Let y be (-38)/(-9) - 26/l. Find u such that 1/3*u**2 + 2/3*u + 0 - u**y - 4/3*u**3 = 0.
-1, 0, 2/3
Let o(k) = k**2 - k. Let c(u) = -10*u**2 + 11*u - 1. Let q(b) = -2*c(b) - 18*o(b). Find x such that q(x) = 0.
1
Suppose 5*w - 4*k + 6*k = 18, 0 = 3*w + 2*k - 14. Suppose -7/2*g - 1/2*g**4 - 1 - 9/2*g**w - 5/2*g**3 = 0. Calculate g.
-2, -1
Let p be ((-2)/(-4))/(3/24). Suppose -p*q + 6 = 2. Solve -2*l**3 - q + l**5 - l**4 + 2*l**2 + 3*l**2 - 3*l**2 + 0*l**4 + l = 0.
-1, 1
Let t(z) be the third derivative of -z**5/20 + 2*z**3 + 7*z**2. Determine i so that t(i) = 0.
-2, 2
Factor -1/4*n**3 + 3/4*n**2 - 1 + 0*n.
-(n - 2)**2*(n + 1)/4
Let q(x) be the third derivative of 7*x**2 + 0 - 2/75*x**6 - 2/75*x**5 + 0*x + 0*x**7 + 4/15*x**3 + 1/420*x**8 + 1/10*x**4. Find j such that q(j) = 0.
-1, 1, 2
Let i(x) be the first 