 derivative of c**9/45360 - c**7/7560 + c**4/24 + 5*c**2. Let a(p) be the second derivative of b(p). Factor a(o).
o**2*(o - 1)*(o + 1)/3
Let n = 548 - 90419/165. Let c(p) be the second derivative of -4/33*p**3 - n*p**6 + 4*p - 4/11*p**2 + 1/22*p**4 + 1/55*p**5 + 0. Let c(l) = 0. What is l?
-1, 2
Let q(j) = -23*j**5 - 17*j**4 - 7*j**3 + j**2 - 7*j + 7. Let a(h) = -12*h**5 - 8*h**4 - 4*h**3 - 4*h + 4. Let v(d) = -7*a(d) + 4*q(d). Factor v(n).
-4*n**2*(n + 1)**2*(2*n - 1)
Let j(y) = y**3 - 7*y**2 + 5*y. Let u be j(6). Let t be 3/u - (-15)/6. Find l such that -3*l**2 + 4*l**2 - 4 + 2*l**2 + 6*l**3 - t*l + 5*l**2 = 0.
-1, 2/3
Suppose 14*j**4 + 2*j**4 + 2*j**2 - 2*j**2 + 20*j**3 + 4*j**5 + 8*j**2 = 0. What is j?
-2, -1, 0
Let h(b) be the first derivative of b**4/7 - 4*b**3/7 + 6*b**2/7 - 4*b/7 + 2. Find v, given that h(v) = 0.
1
Factor -1/2 + 1/2*v**2 + 0*v.
(v - 1)*(v + 1)/2
Let c(r) be the first derivative of -r**6/24 - 3*r**5/20 - 3*r**4/16 - r**3/12 + 7. Factor c(o).
-o**2*(o + 1)**3/4
Let j(u) be the third derivative of 2*u**6/15 + u**5/15 - 2*u**4/3 - 2*u**3/3 - 5*u**2. Let j(v) = 0. Calculate v.
-1, -1/4, 1
Let a(q) be the second derivative of 5/12*q**4 - 9/2*q**2 + 1/20*q**5 + 0 + 1/2*q**3 - 4*q. Solve a(w) = 0 for w.
-3, 1
Let w(b) be the first derivative of 1 - 32*b**2 - 2/5*b**5 - 16*b**3 - 32*b - 4*b**4. Factor w(y).
-2*(y + 2)**4
Let x(a) be the second derivative of -a**6/180 + a**5/15 - a**4/3 + a**3/3 - 4*a. Let m(f) be the second derivative of x(f). Factor m(l).
-2*(l - 2)**2
Let y(j) be the first derivative of j**3/21 + 2*j**2/7 + 3*j/7 - 22. Factor y(q).
(q + 1)*(q + 3)/7
Let m = 7 + -5. Let f(r) be the first derivative of 0*r + 0*r**m + 1/3*r**3 + 1/5*r**5 + 1/2*r**4 + 3. Factor f(d).
d**2*(d + 1)**2
Let a(d) be the first derivative of -d**4/18 - d**3/3 - 2*d**2/3 - 6*d + 9. Let p(w) be the first derivative of a(w). Factor p(n).
-2*(n + 1)*(n + 2)/3
Let h(b) = 6*b**2 + b. Let f(a) be the second derivative of 0*a**2 - 1/12*a**4 + 0*a**3 + 0 + a. Let x(l) = 5*f(l) + h(l). Factor x(s).
s*(s + 1)
Let j(m) be the second derivative of 1/10*m**6 - 4*m**3 + 0 - 9/10*m**5 + 4*m + 3*m**4 + 0*m**2. Find t such that j(t) = 0.
0, 2
Let j = 226/7 + -32. Factor 0 + j*l**2 - 2/7*l.
2*l*(l - 1)/7
Let u(g) be the third derivative of 0*g**3 - 6*g**2 - 1/660*g**6 - 1/66*g**5 - 1/33*g**4 + 0*g + 0. Factor u(o).
-2*o*(o + 1)*(o + 4)/11
Let z be (40/(-12))/(20/(-24) + 0). Solve -1/5 - 2/5*g**z + 3/5*g**2 - 1/5*g**3 + 1/5*g = 0.
-1, 1/2, 1
Let y(w) be the first derivative of -w**4/5 - 4*w**3/5 - 4*w**2/5 + 4. Solve y(c) = 0.
-2, -1, 0
Factor 16/3 + 2/3*u**4 - 2/3*u**3 - 4*u**2 + 8/3*u.
2*(u - 2)**2*(u + 1)*(u + 2)/3
Let k = 1566/5 + -312. Factor 2*s + k*s**3 + 2/5 + 14/5*s**2.
2*(s + 1)**2*(3*s + 1)/5
Let z be (-4)/4*2 - (-1 - 4). Find s such that 2/7 - 4/7*s + 4/7*s**z - 2/7*s**2 = 0.
-1, 1/2, 1
Let m = -18 + 2. Let u = m + 20. Factor 0 + 8/3*o**4 + u*o**2 + 2/3*o + 6*o**3.
2*o*(o + 1)**2*(4*o + 1)/3
Let g(o) be the third derivative of -2*o**7/525 + o**6/50 - 2*o**5/75 - 6*o**2. Factor g(m).
-4*m**2*(m - 2)*(m - 1)/5
Let a(n) = 5*n**2 - 2*n - 3. Let t(y) = 6*y**2 - 2*y - 4. Let q = 10 - 14. Let u = 6 + -3. Let j(b) = q*a(b) + u*t(b). Suppose j(l) = 0. What is l?
0, 1
Let h(o) be the third derivative of 0*o**4 + 0*o**5 + 0*o + 0*o**3 + 1/40*o**6 + 0 + 1/112*o**8 + 1/35*o**7 - 3*o**2. Factor h(j).
3*j**3*(j + 1)**2
Let i be 3/1*20/15. Determine y, given that 11*y**4 - 2 - 13*y**i + 11*y**4 + 5*y**5 + 8*y**2 - 3*y + 9*y**4 + 22*y**3 = 0.
-1, 2/5
Let 80/9*o - 8*o**2 - 32/9 + 28/9*o**3 - 4/9*o**4 = 0. Calculate o.
1, 2
Let k(l) = -l**2 + 10*l. Let v be k(10). Let b(z) = z + 3. Let n be b(v). Determine t so that 2*t**3 + 2*t**4 - n*t + 3*t - 4*t**2 = 0.
-2, 0, 1
Let r(a) be the first derivative of -a**2/2 + a + 3. Let b be r(-1). Suppose -2/5 - 18/5*h**b + 12/5*h = 0. Calculate h.
1/3
Let z = -24 - -26. Let v(a) be the third derivative of z*a**2 + 0*a**5 + 0*a**7 + 1/60*a**6 - 1/336*a**8 + 0*a + 0 + 0*a**3 - 1/24*a**4. What is g in v(g) = 0?
-1, 0, 1
Let p = -4 - -6. Let u = -1 - -3. Factor -2*f**2 - 4*f**2 + 5*f**2 + u*f**p.
f**2
Let v(u) = 5*u**2 + 5*u + 6. Let i(a) = -4*a**2 - 2*a**2 - 13 - 11*a - 3*a**2 - 2*a**2. Let j(b) = -6*i(b) - 13*v(b). Determine g, given that j(g) = 0.
-1, 0
Let f = -47 - -51. Determine n, given that 1/3*n**2 + 0 + 2/3*n**3 + 0*n + 1/3*n**f = 0.
-1, 0
Factor 1/2*i**3 - 1/2*i**4 + 3/2*i**2 - 1 - 1/2*i.
-(i - 2)*(i - 1)*(i + 1)**2/2
Let q(r) = -r**3 + r**2 + r + 5. Let f be q(0). Let u = 11 - f. Factor -u*y**3 - 2*y + 5*y**2 - 2*y**4 - 4*y**2 - 7*y**2.
-2*y*(y + 1)**3
Let z = -29 + 33. Let p(h) be the second derivative of -1/6*h**z + h + 0*h**2 + 2/3*h**3 + 0. Suppose p(r) = 0. Calculate r.
0, 2
Let y(u) be the first derivative of u**4/26 - 16*u**3/39 + 21*u**2/13 - 36*u/13 - 20. Suppose y(d) = 0. Calculate d.
2, 3
Let z(m) be the first derivative of 5*m**4/4 - 5*m**3/3 - 5*m**2 - 6. Factor z(n).
5*n*(n - 2)*(n + 1)
Let r(b) be the first derivative of -2/5*b - 2/15*b**3 - 2/5*b**2 + 1. Solve r(o) = 0.
-1
Let x(n) be the second derivative of n**9/15120 - n**7/1260 + n**5/120 + 7*n**4/12 + n. Let y(a) be the third derivative of x(a). Factor y(c).
(c - 1)**2*(c + 1)**2
Let z(w) be the second derivative of w**5/130 + w**4/78 - w**3/39 - w**2/13 + 20*w. Factor z(m).
2*(m - 1)*(m + 1)**2/13
Let k = -51675/14 + 3694. Let c = 7/2 - k. Factor 0 + c*s**2 + 2/7*s + 2/7*s**3.
2*s*(s + 1)**2/7
Let s(m) be the second derivative of m**7/525 - m**5/150 - m**2 + 3*m. Let z(d) be the first derivative of s(d). Factor z(t).
2*t**2*(t - 1)*(t + 1)/5
Let i(c) be the second derivative of -c**5/180 + c**4/54 - c**3/54 - 30*c. Factor i(h).
-h*(h - 1)**2/9
Let -4/9*z**2 + 2/9*z + 2/9*z**3 + 0 = 0. Calculate z.
0, 1
Let c(r) be the second derivative of -r**5/110 + 2*r**4/33 - 5*r**3/33 + 2*r**2/11 - 2*r. Factor c(k).
-2*(k - 2)*(k - 1)**2/11
Let j(d) be the first derivative of -1/12*d**3 + 0*d + 0*d**2 + 1/24*d**6 - 3/20*d**5 - 1 + 3/16*d**4. Factor j(v).
v**2*(v - 1)**3/4
Let b = 0 - -2. Let k(t) be the second derivative of 0*t**b - 1/15*t**6 + 0 + 1/3*t**3 - 2*t + 1/6*t**4 - 1/10*t**5. Solve k(y) = 0.
-1, 0, 1
Let o be -3 - 40/(-24) - (-26)/6. Determine t so that 8/3*t**2 + 0 - 8/3*t - 2/3*t**o = 0.
0, 2
Let w(q) be the second derivative of q**7/2940 - q**6/1260 + 5*q**3/6 + 3*q. Let b(l) be the second derivative of w(l). Factor b(n).
2*n**2*(n - 1)/7
Let i(q) be the second derivative of -q**5/24 + 25*q**4/72 - 10*q**3/9 + 5*q**2/3 - 12*q. Factor i(a).
-5*(a - 2)**2*(a - 1)/6
Determine o so that -5*o**2 + 8 + 0*o**3 + 32*o**3 - 14*o**4 + 11*o**2 - 32*o = 0.
-1, 2/7, 1, 2
Find n, given that 0*n + 1/2*n**4 - 1/2*n**2 + 1/2*n**3 + 0 - 1/2*n**5 = 0.
-1, 0, 1
Factor 2/3*w**2 + 0*w + 0.
2*w**2/3
Let m(o) be the third derivative of o**8/6720 - o**6/240 - o**5/10 - 5*o**2. Let f(n) be the third derivative of m(n). Find y, given that f(y) = 0.
-1, 1
Let x(v) = -v**4 - v**3 + v**2. Let a(b) = 6*b**4 + 8*b**3 - 4*b**2 - 3*b - 2. Let g(s) = -2*a(s) - 10*x(s). Factor g(u).
-2*(u - 1)*(u + 1)**2*(u + 2)
Let b(u) be the third derivative of u**6/420 - u**5/105 + u**4/84 - 12*u**2. Let b(q) = 0. Calculate q.
0, 1
Let j be 3/(-9)*(-1 + 10). Let v = j - -7. Factor 0 + 0*y - 1/4*y**5 + 0*y**v + 1/4*y**3 + 0*y**2.
-y**3*(y - 1)*(y + 1)/4
Let k(u) = 0 - 1 - u - u + 3*u. Let o be k(3). Factor 10*s - 4 + 17*s - 18*s**o - 5*s.
-2*(s - 1)*(9*s - 2)
Let l be (-1 + 0 - -6) + -1. Suppose -l*d = -d. Factor -2*m**2 + 2/3*m**3 + d + 4/3*m.
2*m*(m - 2)*(m - 1)/3
Let w(l) be the first derivative of 1/4*l**3 - 2 + 0*l + 0*l**2 - 3/16*l**4. Factor w(z).
-3*z**2*(z - 1)/4
Suppose -4*n - 104 = -0*k - 2*k, -4*k = -16. Let b be (-38)/(-12) - 8/n. Determine l so that -9/2*l**2 - 1/2*l**4 - 1 - b*l - 5/2*l**3 = 0.
-2, -1
Factor 30*k**3 - 25*k**4 + 25*k + 9*k**5 - 50*k**2 - 4*k**5 - 5 + 20*k**3.
5*(k - 1)**5
Suppose 4*a = a + 30. What is f in 2*f**2 - a*f**2 + 6*f + 14*f**3 - 19*f**2 + 7*f**3 = 0?
0, 2/7, 1
Let r(x) be the second derivative of -x**5/5 + x**4 - 3*x. Factor r(k).
-4*k**2*(k - 3)
Suppose 3*g = 4*g - 2. Let k(a) = 2*a**3 - 2*a**2 - 2*a + 2. Let f be k(2). Find b such that 7*b**g - 4 + 2*b**2 - 10*b + f*b**3 - b**2 = 0.
-2, -1/3, 1
Let b(i) be the third derivative of -i**7/280 - 3*i*