 Calculate p.
0, 1
Let c be (-1)/10*(-5)/12. Let g(i) be the third derivative of 1/9*i**3 + 0 + c*i**4 + 1/180*i**5 + i**2 + 0*i. Factor g(v).
(v + 1)*(v + 2)/3
Suppose 1426*a - 1437*a = -88. Determine y, given that 260/9*y**3 + 218/9*y**2 + 50/9*y**4 - 104/3*y + a = 0.
-3, 2/5
Let i(x) = x**2 - 5*x - 6. Let v be i(6). Suppose v = 3*c - 15, 4*l - l = -2*c + 16. Factor 8 - 4*u - 8 + 10*u**l.
2*u*(5*u - 2)
Factor 0 + 12/5*j**2 - 4/5*j + 4/5*j**4 - 12/5*j**3.
4*j*(j - 1)**3/5
Suppose 6*n**3 - 2*n**3 + 0*n**3 - 2*n**5 - n - n = 0. Calculate n.
-1, 0, 1
Solve 0 + 2/15*i**2 + 0*i = 0.
0
Suppose -2*o - 3 = -27. Let t = o + -9. Factor 3*v**5 - 9*v**4 + 9*v**2 - 9*v**2 + 6*v**3 + 0*v**t.
3*v**3*(v - 2)*(v - 1)
Let k = -192 + 1730/9. Suppose -3*u = -6, w - 4 = -5*u + 8. Let 0 - 2/9*f + k*f**w = 0. Calculate f.
0, 1
Let l(r) be the first derivative of 5*r**4/4 + 25*r**3/3 - 5*r**2/2 - 25*r + 18. Factor l(p).
5*(p - 1)*(p + 1)*(p + 5)
Suppose 5*o = 7 + 8. What is u in -2/11*u + 2/11*u**o - 2/11*u**4 + 2/11*u**2 + 0 = 0?
-1, 0, 1
Let a(d) = -d**4 - 3*d**3 + 7*d**2 - 5*d - 2. Let n(s) = -s**4 - 4*s**3 + 8*s**2 - 6*s - 2. Let o(x) = 5*a(x) - 4*n(x). Factor o(u).
-(u - 2)*(u - 1)*(u + 1)**2
Let g = -515 - -519. Find r such that -2/13*r**g + 2/13*r + 0 + 2/13*r**2 - 2/13*r**3 = 0.
-1, 0, 1
Let y(g) be the second derivative of -2*g**7/21 - 8*g**6/15 - g**5 - 2*g**4/3 + 4*g. Factor y(s).
-4*s**2*(s + 1)**2*(s + 2)
Let t(w) be the second derivative of 1/9*w**3 + 0 - 6*w + 0*w**2 + 1/36*w**4. Determine s, given that t(s) = 0.
-2, 0
Let s(r) be the second derivative of r**2 - 1/8*r**4 + 1/20*r**5 + 1/6*r**3 + 0 + r - 1/120*r**6. Let n(p) be the first derivative of s(p). Factor n(t).
-(t - 1)**3
Let f(b) = -2*b**2. Let o(x) = x**2 - x. Let k(p) = -2*f(p) - 3*o(p). Let c(n) = 6*n**2 + 15*n + 1. Let h(w) = -2*c(w) + 11*k(w). Factor h(r).
-(r - 2)*(r - 1)
Let l(f) be the third derivative of -f**7/2520 - f**6/360 - f**4/8 - f**2. Let d(x) be the second derivative of l(x). Factor d(m).
-m*(m + 2)
Suppose 16*w - 6*w - 40 = 0. Factor 0*k + 0 - 3/5*k**w + 1/5*k**5 - 1/5*k**2 + 3/5*k**3.
k**2*(k - 1)**3/5
Determine u, given that -u**2 + u**5 - 20*u**4 - 5*u**5 - 5*u**3 + 12*u**4 = 0.
-1, -1/2, 0
Let i(k) be the first derivative of -k**4/16 - 7*k**3/12 - 2*k**2 - 3*k + 22. Factor i(w).
-(w + 2)**2*(w + 3)/4
Factor 0*m + 2/11*m**2 + 0.
2*m**2/11
Let w(n) be the third derivative of -n**5/36 + 5*n**4/48 - 5*n**3/36 - 3*n**2. Factor w(d).
-5*(d - 1)*(2*d - 1)/6
Suppose 24 = 21*r - 15*r. Let b(t) be the first derivative of -2/3*t - 2/3*t**3 - r - t**2 - 1/6*t**4. Factor b(u).
-2*(u + 1)**3/3
Let y(w) be the third derivative of -w**6/210 + w**5/70 + w**4/28 - 2*w**3/21 + 9*w**2. Suppose y(p) = 0. What is p?
-1, 1/2, 2
Let j = 4 + 2. Suppose 5*i + 16 = -y, y - 3*i = j*y - 8. Suppose f**2 - f - 4*f**3 + 5*f**3 - y*f**3 + 4*f**3 - 1 = 0. Calculate f.
-1, 1
Let l(b) be the second derivative of b**6/15 + b**5/10 - b**4/2 - 5*b**3/3 - 2*b**2 - 9*b. Solve l(v) = 0 for v.
-1, 2
Let i(w) be the first derivative of -4*w**3 - 1 - 3/4*w**4 + 0*w + w**5 - 2*w**2. Suppose i(r) = 0. What is r?
-1, -2/5, 0, 2
Suppose -2/9*q**3 - 4/9*q**4 + 4/9*q**2 + 0*q + 0 + 2/9*q**5 = 0. Calculate q.
-1, 0, 1, 2
Let w be 0 + 1 + 1 + 0. Let i(g) be the first derivative of 2/27*g**3 - 1/18*g**4 + 1/27*g**6 + 0*g + 0*g**2 - w - 2/45*g**5. Determine q, given that i(q) = 0.
-1, 0, 1
Let b(v) be the first derivative of -v**6/6 - 3*v**5/5 - 3*v**4/4 - v**3/3 - 4. Suppose b(a) = 0. Calculate a.
-1, 0
Let v(f) be the second derivative of -7*f**4/96 - 5*f**3/8 - f**2/2 + 10*f. Factor v(c).
-(c + 4)*(7*c + 2)/8
Let d(h) be the second derivative of -1/54*h**4 + 1/9*h**2 + 0 + 0*h**3 - h. What is b in d(b) = 0?
-1, 1
Suppose -a = -3*u + 2*a - 9, -2*a = 10. Let n = 8 + u. Find b such that n*b**2 + 0*b**3 + 0 + 2/7*b**4 - 2/7*b**5 + 0*b = 0.
0, 1
Let s(y) = 2*y**4 - 3*y**3 + y**2 - 1. Let t(c) = -c**4 + c**3 - 1. Let h(b) = s(b) - t(b). Find f such that h(f) = 0.
0, 1/3, 1
Suppose 8*p = 4*p. Suppose 5*v - 33 = -4*l, p*v + 3*v = 15. Determine s, given that s - s - l*s**2 - 2 - 4*s = 0.
-1
Suppose 0*r - 5*c = -3*r - 19, 3*r - c - 1 = 0. Factor 2*p**3 - 4/3 + 2/3*p**4 - 2*p + 2/3*p**r.
2*(p - 1)*(p + 1)**2*(p + 2)/3
Let u(t) be the third derivative of t**8/168 - 2*t**7/105 - t**6/60 + t**5/15 + 9*t**2. What is o in u(o) = 0?
-1, 0, 1, 2
Let f(i) be the first derivative of -i**4/28 + 2*i**3/21 - i**2/14 - 6. Factor f(y).
-y*(y - 1)**2/7
Let a(b) = b**2 + 8*b + 14. Let d be a(-6). Suppose -4*j - d*p + 16 = 0, -2*j + 2*p = 2*j. Factor 0 + 1/3*s**3 + 0*s - 1/3*s**j.
s**2*(s - 1)/3
Let j(f) = 0*f**2 + 3 - 4 - f**2 - f. Let w be (-2 - 1)/(3/(-1)). Let u(o) = o. Let l(g) = w*u(g) - j(g). Factor l(a).
(a + 1)**2
Let z = 3 + -1. Suppose -l - 8 = -z*x, 0*x + 2*x = 5*l. Suppose -2/7*v**l + 0*v + 2/7 = 0. Calculate v.
-1, 1
Find o, given that -2*o**3 - 4*o**4 + 3*o**4 - 7*o**2 + 6*o**2 = 0.
-1, 0
Let r = -1025 - -3106/3. Let s = -59/6 + r. Factor s*x**3 + 0*x + 0 - 1/4*x**4 - 1/4*x**2.
-x**2*(x - 1)**2/4
Let n(i) = -2*i - 6. Let f be n(-3). Suppose 0 + f - c**2 - 2*c - c**2 = 0. Calculate c.
-1, 0
Let w(z) = -2*z - 2. Let h be w(-2). Suppose 10*q - 6*q = 8. Determine p, given that q*p**2 + 3 - 13*p**2 + 12*p - 4*p**h = 0.
-1/5, 1
Let o(f) = -f**4 - f**3 - 7*f**2 + 6*f - 3. Let g(n) = 8*n**2 - 6*n + 2. Let y(v) = -3*g(v) - 2*o(v). Factor y(r).
2*r*(r - 1)**2*(r + 3)
Let x(z) be the first derivative of -2*z**5/65 + 5*z**4/26 - 6*z**3/13 + 7*z**2/13 - 4*z/13 + 47. Factor x(o).
-2*(o - 2)*(o - 1)**3/13
Let z be (-1 - -11) + (1 - 2). Suppose -f + 6*m - 3*m = -z, f - 7 = 2*m. Find p, given that 1/2*p + p**2 + 0 + 1/2*p**f = 0.
-1, 0
Determine k, given that 4/11*k**2 - 4/11 - 2/11*k**3 + 2/11*k = 0.
-1, 1, 2
Let j(z) = -z - 12. Let b be j(-17). Suppose -2/5*x + 0 - 32/5*x**b - 48/5*x**4 - 2/5*x**3 + 12/5*x**2 = 0. Calculate x.
-1, 0, 1/4
Let v(j) = j**2 + 4*j - 3. Let b be v(2). Factor -3*y**4 - 3*y**2 + 15*y**2 + 3*y**5 + 12*y - b*y**3 - 3*y**4.
3*y*(y - 2)**2*(y + 1)**2
Let f(h) be the first derivative of h**5/60 + h**4/8 + h**3/3 - 5*h**2 - 1. Let w(z) be the second derivative of f(z). Factor w(k).
(k + 1)*(k + 2)
Let f(z) be the third derivative of z**6/30 + z**5/30 - z**4/8 - z**3 + 5*z**2. Let b(p) = -4*p**3 - p**2 + 4*p + 7. Let i(w) = 5*b(w) + 6*f(w). Factor i(q).
(q + 1)**2*(4*q - 1)
Suppose 4*g - 3*g = -2, -3*g + 39 = 5*s. Suppose 2*k = -k + s. Factor -z**2 - 2*z**3 - 2 + k - z**2 + z + z**5 + z**4.
(z - 1)**2*(z + 1)**3
Let g(p) be the first derivative of p**3 + p**2 - 2. Let u(t) = -t**2 - t. Let k(f) = 3*g(f) + 6*u(f). Factor k(n).
3*n**2
Factor -9/2*b + 0 + 1/2*b**2.
b*(b - 9)/2
Solve 3*f + 3*f**3 + 3*f - 4 + 4 + 9*f**2 = 0.
-2, -1, 0
Suppose -5*b - u = 138 + 97, -5*b - 250 = -2*u. Let r be 6/16 - 238/b. Determine p, given that 8/3 + 10/3*p**2 - r*p - 2/3*p**3 = 0.
1, 2
Let j be (-48)/(-28) + 4/14. Suppose -q + 4 = j*c, 5*c + 4 = c + q. Solve x**3 + c*x + 0 + 1/3*x**2 = 0 for x.
-1/3, 0
Let j(a) be the third derivative of a**5/75 + a**4/15 + 2*a**3/15 + 3*a**2. Solve j(s) = 0.
-1
Suppose 30*t - 18 = 72. Factor -2/5*r**4 - 4/5*r + 0 - 2*r**2 - 8/5*r**t.
-2*r*(r + 1)**2*(r + 2)/5
Let z = 21 + -11. Let l be (-3)/(-6)*(z - 0). Factor q**2 + l + q - 5.
q*(q + 1)
Solve -15*l**4 + 9/2*l**5 - 3*l**2 + 27/2*l**3 + 0 + 0*l = 0.
0, 1/3, 1, 2
Let z(t) = -2*t**2 - 5*t - 2. Let o(i) be the second derivative of i**4/12 + i**3/6 + i**2/2 + 3*i. Let c(r) = -3*o(r) - z(r). Factor c(v).
-(v - 1)**2
Factor -1/4 - 1/4*a + 1/4*a**2 + 1/4*a**3.
(a - 1)*(a + 1)**2/4
Factor 18/13*h - 14/13*h**2 - 4/13.
-2*(h - 1)*(7*h - 2)/13
Let f(r) = -3*r**2 + 15. Let b(t) = -1. Let u(i) = 3*b(i) + f(i). Factor u(m).
-3*(m - 2)*(m + 2)
Let u be (8/78)/(12/54). Factor 0*j + 0 - 4/13*j**2 + u*j**3.
2*j**2*(3*j - 2)/13
Suppose -3*u = -0*p + 4*p - 2, 4*u - 12 = 4*p. Factor -10*f**u + 4*f**2 - 3*f + 7*f**3 + 2*f**3.
3*f*(f - 1)*(3*f + 1)
Let a be -4 + (-1)/(5/(-30)). Suppose 6/5*g - 2/5 + 2/5*g**3 - 6/5*g**a = 0. Calculate g.
1
Let r(z) be the first derivative of -z**6/180 + z**5/45 - z**4/27 + 2*z**3/3 - 1. Let v(f) be the third derivative of r(f). Factor v(q).
-2*(3*q - 2)**2/9
Let a(v) = 6*v**2 - 15*v + 21. Let r(t) = t**2 + 1. Let o(c) = -a(c) + 3*r(c). Determine l so