 - 2*n**3/3 - 7*n**2/9 - 4*n/9 - 5. Determine a, given that d(a) = 0.
-2, -1
Let w(u) be the third derivative of -7*u**2 + 0*u - 1/8*u**4 + 3/20*u**5 + 1/24*u**3 + 0. Suppose w(v) = 0. What is v?
1/6
Let d(l) be the first derivative of 3*l**5/5 - 15*l**4/4 + 7*l**3 - 9*l**2/2 - 5. Factor d(a).
3*a*(a - 3)*(a - 1)**2
Let a(q) be the third derivative of q**6/1080 - q**5/360 + 2*q**3/3 + 3*q**2. Let r(t) be the first derivative of a(t). Determine h so that r(h) = 0.
0, 1
Let u be 0 + 3 - (-9)/(-3). Let 1/3*v + u - 1/3*v**2 = 0. Calculate v.
0, 1
Let k = 535/2 - 266. Factor 3*m**2 + k - 15/4*m - 3/4*m**3.
-3*(m - 2)*(m - 1)**2/4
Let o(k) be the third derivative of -k**6/60 + k**5/30 + 27*k**2. Let o(w) = 0. What is w?
0, 1
Let d = 4309/4 - 1072. Factor -3/2 - 6*t**2 + 9/4*t**3 + d*t.
3*(t - 1)**2*(3*t - 2)/4
Let r(s) = 5*s**2 + 35*s - 34. Let c(m) = -10*m**2 - 70*m + 69. Let y(i) = 6*c(i) + 11*r(i). Suppose y(o) = 0. Calculate o.
-8, 1
Let p(s) be the third derivative of s**5/30 - 5*s**4/84 - 2*s**3/21 + 8*s**2. Solve p(b) = 0.
-2/7, 1
Suppose -2*p - 2*p + r = -279, 0 = -2*r + 2. Let c be 20/p + 24/14. Factor 2/5*l**3 + 2/5*l**c + 0*l + 0.
2*l**2*(l + 1)/5
What is p in 0*p + 0*p**2 + 0 + 2/3*p**3 = 0?
0
Let u(m) be the first derivative of -2/7*m - 2/21*m**3 - 2/7*m**2 - 8. Suppose u(q) = 0. Calculate q.
-1
Let h(d) be the first derivative of d**3/6 - d**2/4 + 6. Factor h(y).
y*(y - 1)/2
Let k(z) be the second derivative of -z**8/6720 - z**7/1260 - z**6/720 - z**4/12 - 4*z. Let a(w) be the third derivative of k(w). Solve a(l) = 0 for l.
-1, 0
Suppose 2*h - 5 = 1. Let a(r) be the first derivative of 2/21*r**h + 0*r + 2/7*r**2 + 3. Factor a(x).
2*x*(x + 2)/7
Let c(k) be the third derivative of 1/108*k**4 + 0*k**3 - 1/270*k**6 + 0*k**7 + 0 + 0*k + 6*k**2 + 1/1512*k**8 + 0*k**5. What is h in c(h) = 0?
-1, 0, 1
Let l(j) be the second derivative of -2*j - 1/90*j**5 - 1/54*j**4 + 0*j**3 + 0*j**2 + 0. Factor l(x).
-2*x**2*(x + 1)/9
Let y = 113 + -337/3. Factor 0*w**4 - 2/3*w**3 + 0*w + 0*w**2 + y*w**5 + 0.
2*w**3*(w - 1)*(w + 1)/3
Let j = 3060/11 + -278. Let t = -513/11 + 47. Find l such that t - 2/11*l - j*l**2 = 0.
-2, 1
Let r be (4/(-3))/(2/6). Let o(x) = -3*x**3 + x**2 - 4*x - 4. Let u(v) = -2*v**3 + v**2 - 3*v - 3. Let d(i) = r*u(i) + 3*o(i). Solve d(j) = 0 for j.
-1, 0
Let r(p) be the second derivative of p**4/96 - p**3/48 - p**2/8 - 2*p. Determine z, given that r(z) = 0.
-1, 2
Let g(t) be the first derivative of -27*t**5/20 - 3*t**4/4 + 4*t**3 + 6*t**2 + t + 2. Let v(i) be the first derivative of g(i). Factor v(l).
-3*(l - 1)*(3*l + 2)**2
Let b = -117/17 + 1223/153. Let 0 + b*m**3 - 2/3*m**2 - 4/9*m = 0. Calculate m.
-2/5, 0, 1
Suppose i + 4*g = -0*g - 18, -4*g - 12 = 4*i. Factor 5 + 3*u - u**4 - u**i - 1 - 3*u**3 - 2.
-(u - 1)*(u + 1)**2*(u + 2)
Let -6/13*f**2 + 40/13*f - 12/13*f**3 - 24/13 + 2/13*f**4 = 0. Calculate f.
-2, 1, 6
Let h(i) = -3*i**4 + 10*i**3 + 16*i**2 - 15*i + 13. Let d(j) = j**4 - 3*j**3 - 5*j**2 + 5*j - 4. Let v(y) = 14*d(y) + 4*h(y). Let v(r) = 0. Calculate r.
-2, 1
Let o(b) be the first derivative of -2*b**3/15 - 7*b**2/5 - 12*b/5 + 38. Factor o(d).
-2*(d + 1)*(d + 6)/5
Let k(c) be the second derivative of -c**6/60 + c**4/12 - 3*c**2/2 + 9*c. Let r(o) be the first derivative of k(o). Factor r(w).
-2*w*(w - 1)*(w + 1)
Suppose 11*a = 14 + 19. Let x(o) be the first derivative of 0*o - 3/5*o**5 + 4 + 0*o**2 - 3/2*o**4 - o**a. What is r in x(r) = 0?
-1, 0
Let r(p) = -14*p - 38. Let o be r(-3). Let b(u) be the third derivative of 0*u**o + 0*u**3 + 1/600*u**6 + 0*u + 0 + 1/300*u**5 - 3*u**2. Factor b(i).
i**2*(i + 1)/5
Let t(s) be the second derivative of s**7/147 + 4*s**6/105 + 3*s**5/35 + 2*s**4/21 + s**3/21 - 8*s. Find o such that t(o) = 0.
-1, 0
Suppose 20 = -3*a + 5*a. Factor -6*v**2 + 0*v**2 - 3*v**4 - a*v**3 + v**3 + 0*v**2.
-3*v**2*(v + 1)*(v + 2)
Let l(a) = -1. Let p(z) = -3*z**2 - 9*z - 21. Let m(f) = -15*l(f) + p(f). Factor m(o).
-3*(o + 1)*(o + 2)
Let c(i) be the second derivative of -3*i**5/8 + 4*i**4 - 57*i**3/4 + 27*i**2/2 + 10*i. Determine x, given that c(x) = 0.
2/5, 3
Let a = 9 - 6. Factor -46*c**4 + 17*c**5 + 2*c**3 + c - 26*c**2 + 52*c**3 + a*c - 3*c**5.
2*c*(c - 1)**3*(7*c - 2)
Let j(o) be the third derivative of -1/60*o**6 + 0*o**3 + 1/336*o**8 + 5*o**2 + 0*o**5 + 0 + 1/24*o**4 + 0*o**7 + 0*o. Factor j(b).
b*(b - 1)**2*(b + 1)**2
Suppose 4 = a + h - 0, -a = -5*h - 28. Suppose -4*l + s - 2 = -7, l - a = -2*s. Factor 1/2*n**l - 1/4*n + 3/4*n**3 + 0.
n*(n + 1)*(3*n - 1)/4
Factor -2*i**2 + 10*i**4 - 4*i**2 - 4*i**2 - 4*i + 4*i**3.
2*i*(i - 1)*(i + 1)*(5*i + 2)
Let d(y) be the third derivative of y**8/2016 + y**7/420 - y**6/80 + y**5/72 + 22*y**2. Factor d(b).
b**2*(b - 1)**2*(b + 5)/6
Let w be -2*(-22)/35 + 32/(-80). Determine c, given that -w*c**4 - 2*c**3 - 6/7*c**2 + 4/7 + 6/7*c = 0.
-1, 2/3
Suppose 0*x + 2*x - 12 = 0. Suppose -x = -2*v - v. Determine a so that 2*a**4 - 2/3*a**v + 0*a + 0 + 0*a**3 - 4/3*a**5 = 0.
-1/2, 0, 1
Let m(f) = f**5 - f**4 - f**3 - f**2 - f + 1. Let c(i) = -5*i**5 + 25*i**4 - 40*i**3 - 10*i**2 - 15*i + 15. Let d(g) = -c(g) + 15*m(g). Factor d(b).
5*b**2*(b - 1)*(2*b - 1)**2
Let s(p) be the third derivative of -p**5/50 - 9*p**4/20 + 2*p**3 + 24*p**2. Determine j so that s(j) = 0.
-10, 1
Suppose 6*r - 9*r = 0. Let j = 3 + r. Find y such that -1/2*y**j + 0 - 3/2*y**2 - y = 0.
-2, -1, 0
Let m(g) = 12*g**2 + 4. Let w(p) = -p**2 - p - 1. Suppose c + 0 - 1 = 0. Let x(o) = c*m(o) + 16*w(o). Factor x(d).
-4*(d + 1)*(d + 3)
Let z(d) be the third derivative of -2/165*d**5 + 1/33*d**3 + 0 - 2*d**2 + 0*d - 1/44*d**4. Factor z(i).
-2*(i + 1)*(4*i - 1)/11
Let p(k) be the first derivative of 3/7*k**2 + 1/14*k**4 + 2/7*k**3 - 1 + 2/7*k. Factor p(s).
2*(s + 1)**3/7
Let u = 3 - 4. Let d = u - -3. Let -3*s**d + 2*s - s**4 - s + 6*s**3 - 3*s**3 = 0. What is s?
0, 1
Let g be (-50)/15*(-6)/4. Let 52*s**g - 54*s**5 - 4*s**4 - 4*s**3 + 10*s**4 = 0. What is s?
0, 1, 2
Let n = 38 - 33. Let r(l) be the first derivative of -1 + 4/7*l**2 + 2/3*l**3 - 8/7*l - 2/7*l**4 - 6/35*l**n. Find o such that r(o) = 0.
-2, -1, 2/3, 1
Let g(h) = -6*h**3 - 2*h**2 + 12*h - 16. Let l(z) = z**3 + z**2 + z - 2. Let d(r) = g(r) + 4*l(r). Factor d(t).
-2*(t - 2)**2*(t + 3)
Determine a so that -3/4*a**3 - 3/4*a + 0 + 3/2*a**2 = 0.
0, 1
Let p = 230 - 4599/20. Let w(a) be the second derivative of 0 + 1/3*a**4 + p*a**5 + 3*a + a**2 + 5/6*a**3. Factor w(h).
(h + 1)**2*(h + 2)
Suppose 0 = 5*t + i - 95, -4*t + 63 = i - 12. Let h be (8/t)/(36/15). Suppose 0 + 1/6*b - 1/3*b**2 + h*b**3 = 0. Calculate b.
0, 1
Factor -3*g + 4*g**3 - 5*g + 6 - 4*g**2 - 2 + 4*g.
4*(g - 1)**2*(g + 1)
Factor 5*k**2 - 15*k**5 + 46*k - 25*k**4 - 5*k**3 - 46*k.
-5*k**2*(k + 1)**2*(3*k - 1)
Let p(x) be the third derivative of x**5/300 - x**4/120 - x**3/15 + 3*x**2. Factor p(m).
(m - 2)*(m + 1)/5
Factor -4/3*f**2 + 0*f - 4/3*f**4 + 8/3*f**3 + 0.
-4*f**2*(f - 1)**2/3
Suppose -2 - 10 = 6*k. Let h be (k/(-24))/((-12)/(-108)). Suppose -1/4*q**3 + 0 - 1/2*q - h*q**2 = 0. Calculate q.
-2, -1, 0
Let g be (-3)/9*0 - -3. Let x(k) be the first derivative of -2/11*k**2 - 2/11*k**3 + 0*k + 6/11*k**4 - 14/55*k**5 - g. Factor x(y).
-2*y*(y - 1)**2*(7*y + 2)/11
Let b(g) = 2*g + 46. Let s be b(-21). Let q(i) be the second derivative of -1/4*i**s + 3/2*i**3 + 0 - i - 3*i**2. Factor q(y).
-3*(y - 2)*(y - 1)
Let t = 1/3 - 13/40. Let l(p) be the third derivative of 0*p + 0 + 1/120*p**6 - 1/420*p**7 + 0*p**3 - p**2 - t*p**5 + 0*p**4. Solve l(x) = 0.
0, 1
Let -6*m**2 - 76*m**2 + 20*m + 8 - 4*m**4 + 23*m**3 + 40*m**2 = 0. What is m?
-1/4, 2
Let d(p) = p**3 - 9*p**2 + 9*p - 7. Let b be d(8). Let q(c) = 3*c**2 - 12*c + 12. Let v(a) = -1. Let n(j) = b*q(j) + 3*v(j). Let n(y) = 0. What is y?
1, 3
Let j be -2 + 0 - ((-816)/42)/8. Factor -3/7*b**3 + 0 + 3/7*b**4 + 0*b - 3/7*b**2 + j*b**5.
3*b**2*(b - 1)*(b + 1)**2/7
Let z(p) be the second derivative of p**8/168 + p**7/35 + p**6/20 + p**5/30 + p**3/2 + 3*p. Let v(r) be the second derivative of z(r). Factor v(o).
2*o*(o + 1)**2*(5*o + 2)
Suppose 3*q + 0 = 6. What is z in 2/3*z**4 + 0*z + 0 - 8/3*z**3 + 8/3*z**5 - 2/3*z**q = 0?
-1, -1/4, 0, 1
Let c(p) be the second derivative of p**6/180 + p**5/15 + p**4/3 + p**3/3 - 2*p. Let a(l) be the second derivativ