uppose i(p) = 0. Calculate p.
-1, 0, 1
Factor -44*z**2 + 11*z**3 + 16*z**4 - 7*z**3 + z - 20*z**2 - 17*z.
4*z*(z - 2)*(z + 2)*(4*z + 1)
Let g = 8/35 + 6/35. Let c(s) be the first derivative of 1/10*s**2 + 1/15*s**3 - 1 - g*s. Factor c(t).
(t - 1)*(t + 2)/5
Let s(a) be the third derivative of 16*a**5/15 - 17*a**4/6 + 2*a**3/3 + 20*a**2. Factor s(r).
4*(r - 1)*(16*r - 1)
Let i(y) be the second derivative of -y**6/6 + 17*y**5/20 - 7*y**4/4 + 11*y**3/6 - y**2 - 5*y. Determine b so that i(b) = 0.
2/5, 1
Let j(m) = -m**2 + m + 1. Let w(u) be the second derivative of -u**4/2 - 5*u**3/3 - 2*u**2 - 3*u. Suppose -2*c - 1 = 1. Let o(x) = c*w(x) - 2*j(x). Factor o(f).
2*(2*f + 1)**2
Let n(b) = -b**3 + b**2 - 3. Let q = -8 - -14. Let d(y) = -6*y**3 + 6*y**2 - 17. Let i(l) = q*d(l) - 34*n(l). Determine o, given that i(o) = 0.
0, 1
Let s(b) = -2*b**2 - 6*b**2 + b**2 + 2 + 5*b. Let o(g) = -8*g**2 + 6*g + 2. Let h = -4 + 7. Let y(f) = h*o(f) - 4*s(f). Factor y(n).
2*(n - 1)*(2*n + 1)
Let -8*k - 16*k**5 - 24*k**3 + 20*k**2 + 22*k**3 + 4*k**4 + 50*k**3 = 0. Calculate k.
-1, 0, 1/4, 2
Let g(x) be the first derivative of x**4/2 - 2*x**3/3 - x**2 + 2*x - 1. Solve g(y) = 0.
-1, 1
Suppose 0 = 4*k - 2*d - 3 + 11, -2*k = -5*d + 20. Factor 1/2*l**3 + k + 0*l - 1/4*l**4 - 1/4*l**2.
-l**2*(l - 1)**2/4
Let f(i) be the third derivative of -3*i**7/70 - i**6/5 - 3*i**5/10 + i**3/2 - 7*i**2. Suppose f(a) = 0. Calculate a.
-1, 1/3
Let p = 10 + -18. Let k = p - -13. Factor -u**3 + 3*u**5 - 2*u**5 + u**2 - u**4 + 0*u**k.
u**2*(u - 1)**2*(u + 1)
Let h(s) be the third derivative of 0*s**3 + 1/1470*s**7 + 0*s + 1/280*s**6 + 0*s**4 + 0 + 1/210*s**5 + 9*s**2. Find t such that h(t) = 0.
-2, -1, 0
Let b(p) = 7*p + 2. Let y(v) = 4*v + 1. Let l(i) = -3*b(i) + 5*y(i). Let g be l(-3). Factor 4*t**5 + 2*t**5 + 14*t**4 + 2*t**5 - 2*t**g + 4*t**3.
2*t**2*(t + 1)**2*(4*t - 1)
Let t(f) be the third derivative of 5*f**8/336 - f**7/126 - f**6/8 + f**5/4 - 5*f**4/36 + 17*f**2. What is v in t(v) = 0?
-2, 0, 1/3, 1
Let p = -7 + 10. Factor -7*g**p + 3*g**2 - 13*g**3 + 9*g**4 + 8*g**3.
3*g**2*(g - 1)*(3*g - 1)
Let b = -4 - -8. Factor 1/2*g**2 - 1/2*g**5 - 1/2*g**b + 1/2*g**3 + 0*g + 0.
-g**2*(g - 1)*(g + 1)**2/2
Let o(p) be the third derivative of p**7/1260 + p**6/270 + p**5/180 + p**3/2 + 3*p**2. Let n(f) be the first derivative of o(f). Let n(l) = 0. Calculate l.
-1, 0
Let p(j) be the first derivative of 2*j**5/5 + 6. Determine t, given that p(t) = 0.
0
Let k(r) = -r + 17. Let j be k(12). Let o(u) be the first derivative of 1/18*u**6 + 0*u + 0*u**2 - 1/12*u**4 + 2 + 2/9*u**3 - 2/15*u**j. Factor o(b).
b**2*(b - 2)*(b - 1)*(b + 1)/3
Factor -14/3*j**3 + 0 - 8*j**2 + 8/3*j.
-2*j*(j + 2)*(7*j - 2)/3
Suppose -15*l**3 - 2*l**3 - 6*l**3 + 9*l + 2*l**3 - 3 + 12*l**5 + 3*l**2 = 0. Calculate l.
-1, 1/2, 1
Let r(q) be the second derivative of 1/168*q**7 + 1/8*q**2 + 0 + 1/40*q**5 + 1/24*q**4 - 1/8*q**3 - 5*q - 1/40*q**6. Factor r(s).
(s - 1)**4*(s + 1)/4
Let t = 78 + -311/4. Solve 1/2*a**2 - 1/4*a**5 - 1/4*a - 1/4*a**4 - t + 1/2*a**3 = 0 for a.
-1, 1
Let d be (-2723)/(-6132) + 1/4. Let j = -2/73 + d. Determine x so that -j*x**3 + 2/3*x + 0 + 2/3*x**4 - 2/3*x**2 = 0.
-1, 0, 1
Suppose 2*n - 19 = -5*v, -5*n = 2*v - 3*v - 7. Find j such that 2*j - 2*j**3 - 2*j**n + 0*j**3 + j**2 + j**3 = 0.
-2, 0, 1
Let x be (6/8)/(5/(-10)*-6). Suppose 0*m**2 + x*m - 1/4*m**3 + 0 = 0. What is m?
-1, 0, 1
Let l be -2 + (477/270 - 2/(-5)). Suppose 1/2*k**2 + 1/6*k - 1/6*k**3 - l*k**4 - 1/3 = 0. Calculate k.
-2, -1, 1
Let q(r) be the third derivative of r**7/3780 + r**6/540 + r**5/270 - 5*r**3/6 + r**2. Let z(h) be the first derivative of q(h). Factor z(u).
2*u*(u + 1)*(u + 2)/9
Let a be 8/24 + 0/(-1). Let w be (-5)/3*7/(-35). Factor -1/3*r + 1/3*r**3 + a - w*r**2.
(r - 1)**2*(r + 1)/3
Let n(i) be the first derivative of -1/4*i**2 - 1/4*i + 1 - 1/12*i**3. Suppose n(s) = 0. What is s?
-1
Let b(o) be the second derivative of o**5/10 + o**4/6 - 2*o**3/3 + 10*o. Factor b(m).
2*m*(m - 1)*(m + 2)
Let x(p) = -p**3 - 6*p**2 + 5. Let q be x(-6). Let j = 5 - q. Factor -1/4*h**2 + j + 1/4*h.
-h*(h - 1)/4
Solve 4/7*d**3 - 2/7*d**5 - 2/7*d + 0 + 0*d**2 + 0*d**4 = 0.
-1, 0, 1
Let h = 592 - 590. Factor -7/5*l**h + 0 - 2/5*l.
-l*(7*l + 2)/5
Let k(r) be the first derivative of 2*r**3/51 + r**2/17 - 12*r/17 + 9. Factor k(f).
2*(f - 2)*(f + 3)/17
Suppose -3*u + s = 32 - 5, -2*u - 5*s = 35. Let y = 14 + u. Factor 0 + 2/7*n**y + 6/7*n**2 - 2/7*n - 6/7*n**3.
2*n*(n - 1)**3/7
Let h(o) be the third derivative of 0*o**3 - 1/72*o**4 + 3*o**2 + 1/180*o**5 + 0 + 0*o. Determine y so that h(y) = 0.
0, 1
Let g(y) be the first derivative of -2 - 1/24*y**4 + 0*y + 1/60*y**5 - y**2 + 0*y**3. Let u(k) be the second derivative of g(k). Let u(n) = 0. Calculate n.
0, 1
Let b(c) be the first derivative of -c**9/9072 - c**8/1680 - c**7/1260 + 4*c**3/3 + 3. Let d(q) be the third derivative of b(q). Let d(i) = 0. Calculate i.
-2, -1, 0
Let d(t) be the first derivative of t**6/120 + 3*t**2/2 - 3. Let l(r) be the second derivative of d(r). Solve l(p) = 0.
0
Let l(a) = -3*a + 6. Let v be l(4). Let d(k) = k**2 + 4*k - 8. Let y be d(v). Factor -h + 2*h**5 + h + 2*h**3 + y*h**4.
2*h**3*(h + 1)**2
Suppose 2 = -2*d - 2. Let p(i) = i**2 - i - 1. Let u be p(d). Factor 3*b**3 + 4*b**5 + 3*b**4 + 0*b**2 + b**2 - 3*b**u.
b**2*(b + 1)**3
Factor 2 - 7/4*r**3 - 5*r - 13/2*r**2.
-(r + 2)**2*(7*r - 2)/4
Let y(s) be the second derivative of s**4/48 + s**3/8 + s**2/4 - 4*s. What is h in y(h) = 0?
-2, -1
Factor 2*y**2 - 4 - 3*y**2 + y**2 - 6*y - 2*y**2.
-2*(y + 1)*(y + 2)
Let v be ((-320)/56 - -6) + (-24)/(-14). Let w(s) be the first derivative of 0*s**5 + 1/9*s**6 + 0*s + 1/3*s**v + 2 + 0*s**3 - 1/3*s**4. What is b in w(b) = 0?
-1, 0, 1
Let d(z) be the second derivative of -z**6/120 + z**5/40 + z**4/48 - z**3/12 - 3*z. Factor d(v).
-v*(v - 2)*(v - 1)*(v + 1)/4
Let l = 10 + -7. Let f(t) be the second derivative of 0*t**l - 1/6*t**4 + t**2 - 2*t + 0. Suppose f(b) = 0. Calculate b.
-1, 1
Let g = 987 + -497447/504. Let i(f) be the third derivative of -g*f**8 + 1/180*f**6 - 1/90*f**5 + 1/315*f**7 + 0*f**4 + f**2 + 0*f + 0 + 0*f**3. Solve i(r) = 0.
-1, 0, 1
Let g(k) be the first derivative of k**5/5 + k**4/4 + 8. Factor g(v).
v**3*(v + 1)
Let x(z) = -3*z - 3. Let m be x(-2). Let w(o) be the second derivative of -1/15*o**6 + 0 - 1/3*o**m + 0*o**2 - o + 1/10*o**5 + 1/6*o**4. What is s in w(s) = 0?
-1, 0, 1
Let j(h) be the third derivative of h**9/90720 - h**8/40320 - h**4/24 - 5*h**2. Let a(w) be the second derivative of j(w). Factor a(v).
v**3*(v - 1)/6
Let v(a) be the first derivative of a**4/4 - a**3/3 - 1. Factor v(x).
x**2*(x - 1)
Suppose -5 = -n + 4*q + 3, -5*q + 40 = 5*n. Let r be 8 - n - 1/(-2). Factor 0*p**3 + 0 + 1/2*p**2 + 0*p - r*p**4.
-p**2*(p - 1)*(p + 1)/2
Let o be 23/7 + (-9 - -6). Let g = 1119/1946 - 1/278. Factor 2/7*t + o - g*t**2.
-2*(t - 1)*(2*t + 1)/7
Let b = -15 + 19. Let w(a) be the second derivative of 2*a + 2*a**5 - 2/3*a**3 + 43/12*a**b - 5/2*a**6 - 2*a**2 + 0. Determine y so that w(y) = 0.
-2/5, 1/3, 1
Let x(j) be the first derivative of -j**3/3 + 2*j**2/3 - j/3 - 23. Factor x(d).
-(d - 1)*(3*d - 1)/3
Let s(y) be the third derivative of -y**6/30 + y**5/15 + 5*y**4/6 + 2*y**3 + 13*y**2. Factor s(m).
-4*(m - 3)*(m + 1)**2
Let t(u) be the third derivative of u**8/50400 - u**7/12600 - u**6/900 - u**5/20 + u**2. Let w(p) be the third derivative of t(p). Factor w(z).
2*(z - 2)*(z + 1)/5
Let m = 59 - 175/3. Let j(w) be the first derivative of -m*w**3 - 3 - 2*w**2 + 0*w. What is k in j(k) = 0?
-2, 0
Let u = 127/1812 + 2/151. Let f(g) be the first derivative of u*g**3 + 0*g**2 - 2 + 1/20*g**5 - 1/8*g**4 + 0*g. Factor f(v).
v**2*(v - 1)**2/4
Let t be 68/16 + -4 - (-8)/(-32). Factor -4/3 - 1/3*n**3 + t*n + n**2.
-(n - 2)**2*(n + 1)/3
Let x(t) be the second derivative of -t**7/840 - t**6/720 - t**4/4 - 3*t. Let p(n) be the third derivative of x(n). What is c in p(c) = 0?
-1/3, 0
Let z = -137/3 + 48. Let m = z - 11/6. Factor m*a**2 + 1/2*a**3 - 1/2*a**5 - 1/2*a**4 + 0 + 0*a.
-a**2*(a - 1)*(a + 1)**2/2
Let h(i) = i**3 + 11*i**2 + 2*i + 24. Let u be h(-11). Determine d, given that 0 - 4/5*d + 1/5*d**4 + 8/5*d**u - d**3 = 0.
0, 1, 2
Let u(k) = k**2 + k - 6. Let z be u(2). Factor -1/4*p**