 Factor c(d).
2*d*(d + 1)**2*(d + 2)/9
Find c, given that 5/7*c**3 + 0 - 5/7*c**5 + 0*c + 2/7*c**2 - 2/7*c**4 = 0.
-1, -2/5, 0, 1
Let s(u) be the first derivative of 1/32*u**4 - 1/16*u**2 - 1/40*u**5 + 1/24*u**3 + 0*u - 10. Factor s(w).
-w*(w - 1)**2*(w + 1)/8
Let c(z) be the third derivative of z**8/84 + 8*z**7/105 + z**6/6 + 2*z**5/15 + 82*z**2. Suppose c(l) = 0. What is l?
-2, -1, 0
Let r(p) be the first derivative of -p**8/560 - 3*p**7/280 - p**6/60 + 38*p**3/3 + 13. Let w(y) be the third derivative of r(y). Factor w(k).
-3*k**2*(k + 1)*(k + 2)
Let g(p) = 5*p + 43. Let c be g(-8). Suppose -2*w - t = -6, -2*w - 4 + 18 = 5*t. Factor -w*f - c + 6 - 4*f + 3*f**2.
3*(f - 1)**2
Factor 0 + 99/2*r**3 - 3/2*r**4 + 2025/2*r - 945/2*r**2.
-3*r*(r - 15)**2*(r - 3)/2
Let g(y) = y**3 - 10*y**2 + 22*y - 217. Let l be g(10). Suppose -2/15*m**l + 0 + 0*m - 2/15*m**2 = 0. Calculate m.
-1, 0
Let s(j) be the second derivative of -96*j**2 - 3/20*j**5 + 0 - 6*j - 24*j**3 - 3*j**4. What is k in s(k) = 0?
-4
Let t(n) be the second derivative of 7*n**6/15 - 3*n**5 - 41*n**4/6 + 28*n**3 - 20*n**2 - 14*n + 2. Find q such that t(q) = 0.
-2, 2/7, 1, 5
Let b(f) be the first derivative of -f**8/4200 - f**7/525 + 17*f**3/3 + 10. Let g(h) be the third derivative of b(h). Factor g(r).
-2*r**3*(r + 4)/5
Let w(x) = -x**2 - x. Let z = 84 + -83. Let i(s) = -6*s**2 - 4*s. Let r(b) = z*i(b) - 4*w(b). Factor r(g).
-2*g**2
Let r(n) be the first derivative of -n**6/48 - 3*n**5/40 + n**4/8 + 2*n**3/3 - 2*n - 84. Let r(f) = 0. What is f?
-2, 1, 2
Let b = 156 + -156. Suppose b = 8*f - 14*f. Factor 0*p**3 + f*p**2 + 1/3*p**4 + 0 + 0*p.
p**4/3
Let s = 255 - 255. Let z(f) be the third derivative of 0 + 0*f**4 + s*f**3 - 1/30*f**5 + 0*f - f**2. Suppose z(i) = 0. Calculate i.
0
Let w(l) be the first derivative of 5*l**3/3 + 65*l**2/2 - 70*l - 22. Find b, given that w(b) = 0.
-14, 1
Let w(q) be the third derivative of 5*q**8/24 - 151*q**7/42 - 49*q**6/24 + 173*q**5/12 + 175*q**4/24 - 55*q**3/3 - 3*q**2 + 29. Suppose w(v) = 0. Calculate v.
-1, -1/2, 2/7, 1, 11
Solve 2 + 52/3*h - 6*h**2 = 0 for h.
-1/9, 3
Let f(c) = 3*c - 42. Let y be f(16). Let q(m) be the second derivative of 0 + 0*m**4 + 0*m**2 - 1/10*m**5 - 5*m + 0*m**3 - 1/15*m**y. Factor q(r).
-2*r**3*(r + 1)
Let z(g) = -3*g**4 + 3*g**3 + 24*g**2 - 45*g + 21. Let j(q) = 2*q**4 - 2*q**3 - 12*q**2 + 22*q - 10. Let u(f) = 5*j(f) + 2*z(f). Factor u(o).
4*(o - 1)**3*(o + 2)
Factor 28/9 - 26/9*w**2 - 178/9*w.
-2*(w + 7)*(13*w - 2)/9
Let t(v) = 3*v**3 - 10*v**2 - 5*v - 8. Let w(s) = -2*s**3 + 9*s**2 + 5*s + 6. Let x(i) = 3*t(i) + 4*w(i). Suppose x(y) = 0. Calculate y.
-5, -1, 0
Let h(f) be the third derivative of f**8/336 - 2*f**7/105 + f**6/120 + 7*f**5/30 - 5*f**4/6 + 4*f**3/3 - f**2 + 3*f. Factor h(w).
(w - 2)**2*(w - 1)**2*(w + 2)
Let f(b) = 7*b**3 + 66*b**2 + 104*b + 40. Let p(v) = -5*v**3 - 65*v**2 - 105*v - 40. Let d(h) = -5*f(h) - 4*p(h). Find r, given that d(r) = 0.
-2, -2/3
Let k = 58 + 8. Let i be (k/(-5))/(-3) + (-46)/115. Determine u, given that -2/7*u**i - 4/7*u + 0 + 2/7*u**2 + 4/7*u**3 = 0.
-1, 0, 1, 2
Let d(g) be the first derivative of -g**4 + 16*g**3/3 + 22*g**2 + 24*g + 17. Solve d(c) = 0.
-1, 6
Suppose -375 = -3*x - 4*s - 374, -4*s - 2 = 2*x. Factor 0 - 2/7*v**2 + 5/7*v**x + 0*v.
v**2*(5*v - 2)/7
Let s = -988 - -6919/7. Factor s*g**2 - 3/7 + 0*g.
3*(g - 1)*(g + 1)/7
Let l = 368/209 + -30/19. Let a = 2613 - 2611. Determine g, given that -l*g**a + 8/11 - 6/11*g = 0.
-4, 1
Factor -2/3*x**2 - 92/9 + 142/9*x.
-2*(x - 23)*(3*x - 2)/9
Determine y so that -3/4*y**2 - 75/4*y + 0 = 0.
-25, 0
Let u(j) = -5*j**4 + 33*j**3 - 45*j**2 + 23*j. Let w(i) = -10*i**4 + 67*i**3 - 90*i**2 + 47*i. Let r(z) = -7*u(z) + 3*w(z). Find h, given that r(h) = 0.
0, 1, 4
Find s such that -70*s + 741*s**3 + 45*s**4 - 1399*s**3 + 5*s**5 + 120 + 723*s**3 - 165*s**2 = 0.
-6, -4, -1, 1
Suppose -4*f + 53 = 41. Factor 1/2*z**f + 1/2*z**2 - 1/2*z**5 - 1/2*z**4 + 0 + 0*z.
-z**2*(z - 1)*(z + 1)**2/2
Let s(d) be the first derivative of -21 + 5/6*d**6 + 0*d - 5/3*d**3 + 0*d**2 - 5/4*d**4 + d**5. Find w such that s(w) = 0.
-1, 0, 1
Let x(y) = -6*y**2 + 14*y - 4. Let c(v) = -7*v**2 + 16*v - 5. Let r(n) = -4*c(n) + 5*x(n). Factor r(b).
-2*b*(b - 3)
Let m(o) be the first derivative of -4/3*o**3 + 0*o + 1/2*o**2 + 9. Determine t, given that m(t) = 0.
0, 1/4
Let s = 218 + -216. Let b be 5/s*2/20. Suppose -3/4*w**3 - 3/4*w**4 + 0*w - 1/4*w**2 - b*w**5 + 0 = 0. What is w?
-1, 0
Factor 0 + 1/4*p**2 - 23/2*p.
p*(p - 46)/4
Let s = 5321/9 + -591. Factor 2/9 + s*h**5 + 2/9*h**4 - 4/9*h**2 + 2/9*h - 4/9*h**3.
2*(h - 1)**2*(h + 1)**3/9
Suppose 7453*l - 7457*l = -28. Let b(g) be the second derivative of 0*g**3 + 0*g**2 + 0 - 1/42*g**6 + 13*g + 0*g**4 + 1/140*g**5 + 2/147*g**l. Factor b(m).
m**3*(m - 1)*(4*m - 1)/7
Factor -10/3*m**3 + 0 + 0*m**2 - 7/3*m**5 + 0*m + 37/3*m**4.
-m**3*(m - 5)*(7*m - 2)/3
Let r be -5 + (0 - -5) + 0. Suppose r = 10*h - 7*h. Factor h*s**2 - 2/3*s**3 + 0 - 2/9*s**4 + 8/9*s.
-2*s*(s - 1)*(s + 2)**2/9
Let j = -8 + 3. Let s be (-7)/j - 0 - 1. Factor -s*t**3 - 2*t - 4/5 - 8/5*t**2.
-2*(t + 1)**2*(t + 2)/5
Let c(p) be the third derivative of -p**7/1260 + p**6/60 - 11*p**5/360 - 13*p**2 + 5. Factor c(g).
-g**2*(g - 11)*(g - 1)/6
Determine n so that 3/4*n**3 - 75/4 - 33/4*n**2 + 105/4*n = 0.
1, 5
Let l be ((-54)/(-108))/(1/(-2)). Let k be ((-2 + 3 + l)*-1)/1. Find c such that k - c**2 - 1/4*c**4 + c**3 + 0*c = 0.
0, 2
Suppose 0 = -0*f - 46*f. Let 2/5*u + f + 1/5*u**3 + 3/5*u**2 = 0. Calculate u.
-2, -1, 0
Suppose -2*q + q - 14 = -3*a, -5*a = -5*q - 30. Suppose -l**2 + a*l**3 + l**2 - 5*l**3 + l**2 = 0. Calculate l.
0, 1
Factor 311*a - 9680 - 5*a**2 - 83*a + 212*a.
-5*(a - 44)**2
Let w(j) be the first derivative of 2*j**3/3 + 17*j**2 + 104*j - 51. Suppose w(s) = 0. Calculate s.
-13, -4
Let h be (-40)/(-24) + 3/18*2. Let 2*w**h + 54*w - 3*w**2 - 51*w = 0. Calculate w.
0, 3
Let a(x) be the second derivative of -x**7/840 - x**6/30 - 2*x**5/5 + 5*x**4/6 - 14*x. Let m(w) be the third derivative of a(w). Factor m(j).
-3*(j + 4)**2
Let c(f) = -f**3 - f**2 + 1. Let w(p) be the first derivative of -6*p**4 - 4*p**3 + 5*p**2 + 4*p + 26. Let m(n) = 6*c(n) - w(n). Find h, given that m(h) = 0.
-1, 1/3
Let d = -9 - -9. Let c be (6/8 + d)*4. Let -28*j**c + 30*j**3 - 8 - 3*j - 5*j + 2*j**2 = 0. What is j?
-2, -1, 2
Let k = -11928 - -23857/2. Solve k*d**5 - 3/2*d**4 + 0*d + 2*d**2 + 0*d**3 + 0 = 0.
-1, 0, 2
Let u = -19/96 + 997/672. Suppose 6/7 - u*m**2 + 3/7*m + 3/7*m**4 - 3/7*m**3 = 0. Calculate m.
-1, 1, 2
Let o be (-4585)/270 - -12 - -5. Let z(f) be the second derivative of 1/9*f**3 + 0 + f + o*f**4 + 2/9*f**2. What is m in z(m) = 0?
-2, -1
Let m be (-80)/39 + (-3 - -4 - -1). Let s = m + 47/156. Factor -1/4*g**2 - s + 1/2*g.
-(g - 1)**2/4
Let c(u) be the third derivative of -u**6/720 - u**5/80 - u**4/24 - 11*u**3/6 - 4*u**2. Let i(k) be the first derivative of c(k). Factor i(a).
-(a + 1)*(a + 2)/2
Let b(h) be the first derivative of h**7/420 + h**6/90 - h**5/60 - h**4/6 + 22*h**3/3 - 4. Let q(w) be the third derivative of b(w). Let q(n) = 0. What is n?
-2, -1, 1
Let f(x) = -x**2 + x - 1. Let t(a) = 2*a**3 - 45*a**2 - 3*a + 47. Let k(b) = 2*f(b) + 2*t(b). Factor k(v).
4*(v - 23)*(v - 1)*(v + 1)
Suppose -7*u + 10*u - 9 = 0. Factor y - 5*y - 3*y**2 + y**3 - y**2 + 4*y**4 + u*y**3.
4*y*(y - 1)*(y + 1)**2
Let d(h) be the second derivative of h**4/20 - 21*h**3/5 + 1323*h**2/10 + 25*h + 1. Factor d(v).
3*(v - 21)**2/5
Let r(v) = -2*v**2 + 10*v - 2. Let i(x) = 4*x**2 - 20*x + 5. Let d(q) = -4*i(q) - 10*r(q). Factor d(m).
4*m*(m - 5)
Let z be (2/2)/(2/4). Suppose 2*y = -z*y. Let -x - 2*x**4 + y*x**4 - x - 6*x**3 - 6*x**2 = 0. What is x?
-1, 0
Suppose 4*j = -3*v + 5, -8 = -5*j - 3*v + 2. Determine w so that 2*w**2 - 2*w + 32 + w - j*w - 10*w = 0.
4
Let m(g) = 13*g**2 - 30*g - 50. Let z(v) = 7*v**2 - 15*v - 26. Let b(h) = -4*m(h) + 7*z(h). Determine s so that b(s) = 0.
-1, 6
Let q be 8/4*6/20*(-35)/(-126). Factor 1/6*f - q*f**2 + 1.
-(f - 3)*(f + 2)/6
Let f(h) be the second derivative of -1/4*h**3 + 3/16*h**4 + 0*h**2 - 1/40*h**6 + 0 + 0*h**5 - 14*h. What is l in f(l) = 0?
-2, 0, 1
Let q(b) be the second derivative of 0 + 4/9*b**3 - 1/6*b**5 + 1/45*b**6 - 13*b + 1/63*b**7 - 5/18*b**4 