 Factor n(d).
d**2*(d - 1)**2*(d + 4)/7
Let x(u) be the second derivative of u**10/6048 + u**9/3024 - u**8/336 - u**7/126 - 2*u**4/3 + 41*u. Let j(f) be the third derivative of x(f). Factor j(g).
5*g**2*(g - 2)*(g + 1)*(g + 2)
Let r(n) = -n**2 - 20*n + 44. Suppose 2*h + 0 = -8. Let x(s) = s**2 - s + 1. Let z(p) = h*x(p) - r(p). Suppose z(b) = 0. Calculate b.
4
Let v = 102 - 96. Let i(d) be the second derivative of 0*d**3 - 1/357*d**7 - 1/85*d**v + 0*d**2 + 0 - 1/85*d**5 + 0*d**4 - d. Factor i(t).
-2*t**3*(t + 1)*(t + 2)/17
Let b(d) be the third derivative of 3*d**7/175 + 17*d**6/150 - 53*d**5/150 + d**4/6 - d**2 - 78*d. Solve b(p) = 0 for p.
-5, 0, 2/9, 1
Suppose -4*f - 17 = -3*h - 3, f + 29 = 5*h. Let x be (-2)/h + (-171)/(-189). Factor -x*a**2 + 0 + 4/7*a.
-4*a*(a - 1)/7
Let j be (-8)/2 - ((-2 - -5) + -11). Let w(r) be the third derivative of 1/42*r**7 + 0*r - 5/6*r**3 - 5/12*r**j + 1/12*r**6 + 2*r**2 + 0*r**5 + 0. Factor w(l).
5*(l - 1)*(l + 1)**3
Suppose 0 = 3*q - 16*w + 18*w - 8, 3*q - 4*w - 2 = 0. Suppose 2*v = -10, 5*k + 6*v = 2*v - 5. Factor -340*r**3 + 348*r**k - 4 - 2*r + 20*r - 24*r**q.
2*(r - 2)*(2*r - 1)**2
Let h(l) be the third derivative of 1/120*l**6 - 1/48*l**4 - 1/60*l**5 + 0 + 1/12*l**3 - 25*l**2 + 1/420*l**7 + 0*l - 1/672*l**8. Factor h(u).
-(u - 1)**3*(u + 1)**2/2
Suppose 0 = -5*x + 10*x. Suppose 3*d - 22 - 2 = x. What is r in 11*r**3 + 5 + 7*r**3 - 10*r - 5*r**2 - d*r**3 = 0?
-1, 1/2, 1
Let l(x) be the third derivative of x**7/1680 + x**6/360 - x**3/2 + 15*x**2. Let k(h) be the first derivative of l(h). Factor k(r).
r**2*(r + 2)/2
Let j(k) be the first derivative of -k**5/110 + k**3/11 + 2*k**2/11 - 29*k + 17. Let t(s) be the first derivative of j(s). What is u in t(u) = 0?
-1, 2
Solve -30 - 9*h - 2*h**2 + 6*h**2 - h**2 = 0 for h.
-2, 5
Let v(n) be the third derivative of -n**11/83160 - n**10/37800 - n**5/3 - 9*n**2. Let i(l) be the third derivative of v(l). What is f in i(f) = 0?
-1, 0
Solve 9/2*u**2 - 9/2*u**4 + 0 - 2*u**5 + u**3 + u = 0.
-2, -1, -1/4, 0, 1
Suppose 0 = -2*q + 5*b + 21, 2*q + 2*q - 27 = 5*b. Suppose -4*v + 2*m = 7*m - 13, -5 = -q*v + m. Factor 0*g**v - 4*g + 7*g**2 + 0 - 5*g**2 + 2.
2*(g - 1)**2
Factor 3/8*n**2 + 0 + 15/2*n.
3*n*(n + 20)/8
Suppose 257 = -5*a + 1117. Let o be (a/(-56) + 3)*-4. Factor 8/7*i + 6/7 + o*i**2.
2*(i + 1)*(i + 3)/7
Let i be 6 - (4 + -2 + -1). Suppose -i*p + 0*p = 0. Determine s, given that 2 - 6 - 2*s**2 - 6*s + p*s = 0.
-2, -1
Suppose 0 + 4*s + 19/3*s**3 - 1/3*s**5 + 28/3*s**2 + 2/3*s**4 = 0. What is s?
-2, -1, 0, 6
Let l(a) be the first derivative of a**7/1260 - a**6/270 + a**5/180 + 5*a**3/3 + 3. Let n(w) be the third derivative of l(w). Find u, given that n(u) = 0.
0, 1
Let f(m) be the second derivative of 1/168*m**7 + 25/48*m**4 + 0*m**2 + 11/120*m**6 + 0*m**3 + 7/16*m**5 + 0 - 13*m. Factor f(x).
x**2*(x + 1)*(x + 5)**2/4
Suppose 0 = -2*c + 8, -183 = -5*y + 8*c - 5*c. Let r be (186/(-155))/(y/(-10)). Let 2/13*s**2 + r + 6/13*s = 0. Calculate s.
-2, -1
Let m(i) be the first derivative of 1/27*i**6 + 0*i - 12 - 2/27*i**3 + 2/45*i**5 + 0*i**2 - 1/18*i**4. Factor m(r).
2*r**2*(r - 1)*(r + 1)**2/9
Let d(b) be the first derivative of -b**5/100 - b**4/15 - 2*b**3/15 - 20*b + 13. Let p(t) be the first derivative of d(t). Factor p(l).
-l*(l + 2)**2/5
Let s(c) = -3*c**2 - 5*c. Let v(q) = 9*q**2 - 2*q. Let z(m) = -5*m**2 + m. Let k(r) = 6*v(r) + 11*z(r). Let d(p) = 5*k(p) - s(p). Factor d(i).
-2*i**2
Let z(b) = b**3 + 8*b**2 + b + 11. Let w be z(-8). Solve w*d + d**3 - 6*d**2 - 2 + 0*d**2 + d**3 + 3*d = 0 for d.
1
Let f be (-63)/(165*(-4)/12). Let t(k) be the second derivative of 0*k**2 - 49/165*k**6 + 8/33*k**3 - 11*k + 0 - 10/11*k**4 + f*k**5. Factor t(m).
-2*m*(m - 2)*(7*m - 2)**2/11
Let t(q) = q**3 + 6*q**2 + 3*q - 5. Let x be t(-5). Let h be 68/104 + (-24)/48. Factor -4/13*a**3 + h*a**x + 2/13*a + 0 + 0*a**4 + 0*a**2.
2*a*(a - 1)**2*(a + 1)**2/13
Suppose -3*h + 16 = 1. Factor -h + 3 - 5*m**2 - 15*m + 2.
-5*m*(m + 3)
Let k(l) be the second derivative of -l**4/4 - 7*l**3 - 135*l**2/2 + 423*l. Suppose k(s) = 0. What is s?
-9, -5
Suppose 41 + 79 = 8*d. Factor -5 + 4*b**2 - 17*b**2 + 3*b**2 + d*b**2.
5*(b - 1)*(b + 1)
Let b = -23 + 56. Let a = -31 + b. Solve -4*i + 12*i**a - 2*i**2 - i**2 - 5*i**2 = 0 for i.
0, 1
Let c(d) = -d**2 - 270*d + 1375. Let m be c(5). Solve m*i - 3/5*i**4 + 0*i**2 + 0 + 1/5*i**5 + 2/5*i**3 = 0.
0, 1, 2
Let m(o) = 2*o**4 - 7*o**3 + o + 7. Let g = -54 - -52. Let u(k) = -k**4 + k**3 - k**2 + k - 1. Let n(y) = g*m(y) - 6*u(y). Solve n(l) = 0 for l.
-2, -1, 1
Let c = -56807 - -851567/15. Let o = c - -36. Solve 2/15*n + 0 + o*n**3 + 4/15*n**2 = 0 for n.
-1, 0
Let d(y) be the third derivative of -y**6/360 - y**5/120 + 11*y**3/3 - 5*y**2. Let x(w) be the first derivative of d(w). Factor x(b).
-b*(b + 1)
Let h(p) be the third derivative of p**10/151200 - p**9/15120 - 9*p**5/20 + p**3/3 + 6*p**2 + p. Let t(x) be the third derivative of h(x). Factor t(n).
n**3*(n - 4)
Suppose -4 - 3 = -s. Let l = 9 - s. Factor -3*d**2 - 2*d**4 + 5*d**4 - d - l*d + 3*d**3.
3*d*(d - 1)*(d + 1)**2
Let w = 1013 - 6077/6. Let k(l) be the second derivative of -1/6*l**3 + 0 - w*l**4 - 10*l + l**2 + 1/20*l**5. Solve k(b) = 0 for b.
-1, 1, 2
Let x(o) be the second derivative of -5*o**4/2 - 835*o**3/6 + 70*o**2 - o - 351. Determine g so that x(g) = 0.
-28, 1/6
Let g(f) be the third derivative of -5*f**8/672 - 31*f**7/1260 + 7*f**6/16 - 49*f**5/72 - 5*f**4/12 + f**3 + f**2 + 112*f. Determine j so that g(j) = 0.
-6, -2/5, 1/3, 1, 3
Let u(v) be the first derivative of -2*v**3 - 5*v**2 - 38*v + 1. Let k(j) = -2*j**2 - 3*j - 13. Let h(x) = 14*k(x) - 5*u(x). Factor h(t).
2*(t + 2)**2
Let v(f) be the second derivative of -f**6/240 + f**4/48 + 49*f**2/2 + 46*f. Let a(w) be the first derivative of v(w). Factor a(z).
-z*(z - 1)*(z + 1)/2
Factor 0 - 2/3*m**5 + 4*m**4 - 2*m + 20/3*m**2 - 8*m**3.
-2*m*(m - 3)*(m - 1)**3/3
Let d(q) be the third derivative of 1/120*q**5 + 0*q + 0 + 0*q**3 + 19*q**2 + 1/48*q**4. Factor d(h).
h*(h + 1)/2
Let g = 3 - 0. Factor 2*s**2 - 9*s + 7 + 3*s - g.
2*(s - 2)*(s - 1)
Let l(d) be the second derivative of -6/5*d**2 + 0 - 5*d + 29/15*d**3 - d**4 + 7/50*d**5. Factor l(p).
2*(p - 3)*(p - 1)*(7*p - 2)/5
Let o(v) be the second derivative of v**5/20 - 3*v**4/8 - 21*v**2/2 - 9*v. Let m(g) be the first derivative of o(g). Factor m(s).
3*s*(s - 3)
Let d(m) be the third derivative of m**5/12 - 15*m**3/2 - 15*m**2. Factor d(r).
5*(r - 3)*(r + 3)
Determine c so that -2667*c**3 + 0*c**5 - 4*c**2 + 16 + 2653*c**3 + 2*c**5 + 24*c = 0.
-2, -1, 2
Let r = 50 - 25. Suppose -r*d = -29*d + 4. Determine h so that -d - 3/2*h - 1/2*h**2 = 0.
-2, -1
Let u(z) be the third derivative of -z**8/6720 - z**7/1260 - z**6/720 + z**4/4 - z**2. Let b(n) be the second derivative of u(n). Suppose b(w) = 0. What is w?
-1, 0
Suppose -8*r = 38*r. Let d(i) be the second derivative of 0*i**5 + 0*i**2 + 0*i**4 + r*i**3 + 0 + 1/14*i**7 - 10*i + 1/5*i**6. Factor d(z).
3*z**4*(z + 2)
Solve 102*k + 15/2*k**2 - 42 = 0.
-14, 2/5
Let i(o) be the third derivative of 0*o + 0 - 1/12*o**4 + 10*o**2 + 0*o**3 - 1/20*o**5 - 1/120*o**6. Factor i(g).
-g*(g + 1)*(g + 2)
Let m(r) be the second derivative of -r**6/9 - 13*r**5/30 - 2*r**4/9 + 4*r**3/9 - 2*r - 3. Let m(h) = 0. Calculate h.
-2, -1, 0, 2/5
Let i be (6/10)/((-1)/(-5)). Factor -2211 - 2*r**i + r**4 + 2211 + r**3.
r**3*(r - 1)
Suppose 5*a = -20*i + 18*i + 8, -5*a + 4*i = -44. Factor 9/5*n + 0 + 3/5*n**2 - 3/5*n**a - 9/5*n**3.
-3*n*(n - 1)*(n + 1)*(n + 3)/5
Let t = -18889/3 + 6298. Let -5/3*q - t*q**2 + 0 = 0. What is q?
-1, 0
Let q(x) be the third derivative of 0*x**3 + 10*x**2 + 0 + 0*x + 5/36*x**4 + 1/72*x**6 + 1/12*x**5. Determine r so that q(r) = 0.
-2, -1, 0
Let q(k) = -16 - 20 - k + 37. Let t(n) = 2*n**5 + 6*n**4 + 2*n**3 - 6*n**2 + 8*n - 12. Let j(f) = -12*q(f) - t(f). Solve j(b) = 0.
-2, -1, 0, 1
Suppose -31*f + 640 = 516. Let 1/2*c**f + 0*c + 0 + 0*c**2 - c**3 + 1/2*c**5 = 0. What is c?
-2, 0, 1
Let l(a) = -a**3 + 12*a**2 - 44*a + 528. Let z be l(12). Suppose 0*k - 6/7*k**3 - 2/7*k**2 + z = 0. What is k?
-1/3, 0
Let a(q) = 36*q - 162. Let v(w) = w**2 + 30*w - 163. Let c(l) = -2*a(l) + 3*v(l). Factor c(k).
3*(k - 5)*(k + 11)
Let c be 129/(-86)*(-8)/36. Solve 2 + 7/3