third derivative of 1/168*n**8 + 0 + 0*n + 12*n**2 - 1/20*n**6 + 0*n**3 + 2/105*n**7 - 2/15*n**5 + 1/3*n**4. Find r, given that h(r) = 0.
-2, 0, 1
Let n = -75 + 89. Let y = 16 - n. Find k, given that 0*k**y + 0 - 1/3*k**5 + 0*k - 1/3*k**4 + 0*k**3 = 0.
-1, 0
Let h(l) be the third derivative of l**7/2100 - l**6/450 - l**3/3 + 8*l**2. Let d(a) be the first derivative of h(a). Find q such that d(q) = 0.
0, 2
Suppose -3*b + 6*b - 3*y = 0, -3*y = -b - 6. Factor 0 - 1/3*u**2 - 1/3*u**b + 0*u + 1/3*u**5 + 1/3*u**4.
u**2*(u - 1)*(u + 1)**2/3
Factor -3*g**2 + 0 + 1/3*g**3 + 8/3*g.
g*(g - 8)*(g - 1)/3
Let h(m) = m**4 + m**3 + m**2 - m + 1. Let k(l) = -40*l**3 - 145*l**2 - 95*l - 5. Let j(a) = -5*h(a) - k(a). Factor j(s).
-5*s*(s - 10)*(s + 1)*(s + 2)
Let v = 20 - 13. Let g(m) = -11*m**2 + 87*m - 393. Let c(u) = -10*u**2 + 86*u - 394. Let k(f) = v*c(f) - 6*g(f). Determine o so that k(o) = 0.
10
Let q = 228 + -232. Let c(d) = 3*d + 16. Let y be c(q). Let -m**3 + 3*m + 1/4*m**y - 1/2*m**2 + 9/4 = 0. Calculate m.
-1, 3
Let d(x) = 10*x**3 + 49*x**2 + 39*x. Let l(i) = 2*i**3 + 12*i**2 + 10*i. Let b(n) = 4*d(n) - 18*l(n). Factor b(s).
4*s*(s - 6)*(s + 1)
Let g(b) = 13*b**3 + 28*b**2 - 110*b + 39. Let v(q) = -7*q**3 - 14*q**2 + 57*q - 20. Let t(s) = -8*g(s) - 15*v(s). Solve t(n) = 0.
1, 12
Let s be (-9 + 9)/(6/3). Let g(c) be the second derivative of -2/3*c**3 + 0 + 1/5*c**5 + 0*c**4 - 4*c + s*c**2. Find j, given that g(j) = 0.
-1, 0, 1
What is t in 32/7 - 2/7*t**2 + 0*t = 0?
-4, 4
Let h(z) be the third derivative of -z**6/24 + 5*z**5/12 - 5*z**4/6 + 89*z**2. Factor h(y).
-5*y*(y - 4)*(y - 1)
Let p be -3 + 28*-4*(-2)/48. Factor -p + 5/3*h**2 + 5/3*h - 5/3*h**3.
-5*(h - 1)**2*(h + 1)/3
Find v, given that 1/8*v**3 + 3/2 + v**2 + 19/8*v = 0.
-4, -3, -1
Suppose -5*n + 145*f = 149*f - 36, -4*n - 2*f + 24 = 0. Let 1/3*c**2 + n + 7/3*c = 0. Calculate c.
-4, -3
Suppose 4*u + 7*g + 3 = 2*g, -2*g = 6. Factor 4*z - 6*z**3 + 4*z**3 + z**u - 2*z**2 + 8.
-(z - 2)*(z + 2)**2
Determine q so that -12/7*q**2 - 6/7*q**4 - 432/7 + 54/7*q**3 - 72*q = 0.
-2, -1, 6
Suppose 4*z - 4 + 8 = 4*y, y + z = -1. Find u, given that -3/2*u**3 + 3*u**2 + 0 - 3/2*u**4 + y*u = 0.
-2, 0, 1
Let r(b) = -7*b**4 + 7*b**3 + 5*b**2 - 7*b. Let g(f) = 9*f**4 - 6*f**3 - 6*f**2 + 6*f. Let p(x) = 2*g(x) + 3*r(x). Solve p(a) = 0.
-1, 0, 1, 3
Let y(m) be the second derivative of -6*m - m**2 + 0 + 1/12*m**4 + 7/18*m**3. Factor y(g).
(g + 3)*(3*g - 2)/3
Let r(a) = 5*a**4 - 11*a**3 + 17*a**2 + 94*a + 50. Let w(o) = 4*o**4 - 10*o**3 + 18*o**2 + 92*o + 52. Let k(n) = 6*r(n) - 7*w(n). Factor k(p).
2*(p - 4)*(p + 2)**3
Let i(l) = -l**4 + l + 1. Let x(m) = -6*m**4 + 20*m**3 - 28*m**2 + 14*m + 2. Let n(w) = 2*i(w) - x(w). Factor n(o).
4*o*(o - 3)*(o - 1)**2
Determine z so that -3/5*z**4 + 0*z + 0*z**3 - 27/5 + 6*z**2 = 0.
-3, -1, 1, 3
Let w(y) = -4*y - 1. Let a be w(4). Let r be (a/51)/(1/(-12)). Factor -2 - 32*i**2 - 16*i + 4 - r.
-2*(4*i + 1)**2
Suppose 4*r + 32 = 4*h, -3*r = 3*h - 5*h + 19. Let c be 1*r/2*36/(-27). Factor 9/2*a - 3 - 3/2*a**c.
-3*(a - 2)*(a - 1)/2
Let v(s) be the second derivative of 1/90*s**6 - 4/9*s**3 - 14*s - 1/63*s**7 + 2/3*s**2 + 0 + 1/6*s**5 - 5/36*s**4. Let v(j) = 0. What is j?
-2, -1, 1/2, 1, 2
Let r(f) be the first derivative of -5*f**9/3024 + f**8/336 + f**7/168 - f**6/72 - 10*f**3/3 - 11. Let h(o) be the third derivative of r(o). Factor h(g).
-5*g**2*(g - 1)**2*(g + 1)
Suppose 5*v - 5*f = 15, 3*v + 3*f + 9 = -0*v. Let p be 2 + v + 1 + 0. Suppose p*s**2 - s**2 + 12*s + 5*s**2 - 3*s**2 = 0. Calculate s.
-3, 0
Suppose -8*d - 117*d + 320 = -55. Factor 4/5*l**d + 0*l - 8/5*l**2 + 0.
4*l**2*(l - 2)/5
Let h be ((-7)/(-4) - 1)*4. Let d be 7 - 1/1 - h. Factor 8*o**d + 12*o**2 + 67*o**4 - 63*o**4 + 3*o + o + 4*o**3.
4*o*(o + 1)**3
Let s(h) be the second derivative of 3*h**6/10 + 57*h**5/20 + 15*h**4/2 + 4*h**3 + 4*h + 2. Factor s(g).
3*g*(g + 2)*(g + 4)*(3*g + 1)
Suppose 3*l - 3*i + 9 = 6*l, 6 = 2*l - i. Suppose -l*p + 8*p - 10 = 0. Let 0*h**p - 4*h + 3*h - h - 2*h**2 = 0. What is h?
-1, 0
Suppose -5*f + 105 - 75 = 0. Let f + 3*h - h + 2*h - 2*h**2 = 0. Calculate h.
-1, 3
Let f be 8 + (-4)/((-24)/(-30)). Let -2/19*r**5 + 6/19*r**f + 4/19*r - 2/19*r**4 + 10/19*r**2 + 0 = 0. Calculate r.
-1, 0, 2
Let c be ((-334)/(-36) + -9)/(10/6). Let f(o) be the first derivative of -c*o**2 + 1/9*o**3 - 4 + 0*o. Factor f(b).
b*(b - 1)/3
Let q(k) = -2*k**2 + 12*k + 8. Let n = -31 + 27. Let u(i) = 3*i**2 - 13*i - 8. Let m(l) = n*u(l) - 5*q(l). Determine w so that m(w) = 0.
-2
Let k(v) be the third derivative of 0*v**3 - 18*v**2 + 0 + 1/20*v**5 - 1/8*v**4 + 0*v. Factor k(y).
3*y*(y - 1)
Let 9*x - 2173 + 3*x**3 - 12*x**2 + 1088 - 3*x**2 + 1112 = 0. Calculate x.
-1, 3
Factor -6*c**2 - 9/2*c + 2*c**4 + 0 + c**3 - 1/2*c**5.
-c*(c - 3)**2*(c + 1)**2/2
Let v = -1069/2 + 535. Let j(i) be the first derivative of -3 - v*i**4 + 0*i + 0*i**3 + 1/3*i**6 + 0*i**5 + 0*i**2. What is u in j(u) = 0?
-1, 0, 1
Let v be 46 - (0 - -3 - -1). Let -88*l + 45*l + v*l - 2*l**4 + 2*l**2 + l**5 = 0. Calculate l.
-1, 0, 1
Let o(d) = 6*d**2 - 49*d + 79. Let b(j) = 15*j**2 - 123*j + 198. Let n(i) = -5*b(i) + 12*o(i). Factor n(x).
-3*(x - 7)*(x - 2)
Let w(d) = d**3 - 7*d**2 - 11*d - 3. Let a be w(-5). Let l = a - -252. Find n, given that -2/3 - 1/6*n**5 - 19/6*n**3 - 7/6*n**l - 25/6*n**2 - 8/3*n = 0.
-2, -1
Let l be ((-216)/(-1944))/(0 - (-8)/18). Factor 1/2*z + 1/4*z**2 + l.
(z + 1)**2/4
Let f be (-5)/(-3) + (-42)/(-18). Suppose -l + 4*y - f = -3*l, -5*l + 16 = 4*y. Find h, given that 3/4*h**l - 11/4*h**2 - 5/4*h**3 - 3/4*h + 0 = 0.
-1, -1/3, 0, 3
Suppose 27*m - 25*m = -42. Let r be (6/32)/(m/(-14)). Factor r*n**4 + 3/8*n**2 - 3/8*n**3 + 0 - 1/8*n.
n*(n - 1)**3/8
Suppose 2*y**3 - 9*y**2 + 10 - 10 - 2*y + 7*y**2 + 2*y**4 = 0. Calculate y.
-1, 0, 1
Let p be 6/(-14) - (-78)/84*-6. Let b be p*(60/(-54))/2. Factor 8/3*u**2 - 2/3*u**3 - b*u + 4/3.
-2*(u - 2)*(u - 1)**2/3
Let m(u) be the third derivative of 1/255*u**6 - 7*u**2 + 0*u + 0*u**3 + 1/102*u**4 + 1/1785*u**7 + 0 + 1/102*u**5. Determine v so that m(v) = 0.
-2, -1, 0
Let a(c) = 6*c**4 + 328*c**3 - 7085*c**2 + 33589*c - 46058. Let d(y) = y**4 + 66*y**3 - 1417*y**2 + 6718*y - 9212. Let f(j) = -2*a(j) + 11*d(j). Factor f(r).
-(r - 32)**2*(r - 3)**2
Let s(v) be the first derivative of -2*v**6/15 + 8*v**4/5 - 32*v**2/5 + 2. Factor s(n).
-4*n*(n - 2)**2*(n + 2)**2/5
Factor -1/4*a**2 + 0 + 0*a - 1/2*a**3.
-a**2*(2*a + 1)/4
Suppose -3*p = -0 - 9. Suppose t + 4*c = 21, -c = -5*t + p*c + 9. Solve 0*h**3 - 3 - 3*h**4 - 3*h + 6*h**3 + 3*h**2 - t*h**5 + 3*h**2 + 2*h**5 = 0.
-1, 1
Let u be ((-26)/3 - -4)/(((-28)/(-9))/(-7)). Factor 27/2*g**2 - u*g - 3.
3*(g - 1)*(9*g + 2)/2
Let w = 18 + -13. Suppose -w*g + 29 = -0*g - 2*n, 13 = g - 4*n. Factor -3*v + 9*v**3 + 3*v + 5*v**4 + 0*v**3 + 2*v + 7*v**2 + v**g.
v*(v + 1)**3*(v + 2)
Let o(a) be the second derivative of -a**5/45 - 13*a**4/27 - 20*a**3/9 - 22*a - 2. Factor o(c).
-4*c*(c + 3)*(c + 10)/9
Let x(b) be the second derivative of b**5/15 - 2*b**4/9 - 2*b**3/3 - b + 11. What is s in x(s) = 0?
-1, 0, 3
Suppose -180/7*v**3 + 2871/7*v**2 - 5046/7*v + 3/7*v**4 + 0 = 0. What is v?
0, 2, 29
Let k(i) be the first derivative of 2*i**3/33 + 8*i**2 + 352*i + 144. Find a such that k(a) = 0.
-44
Suppose 4/5*s - 2/5*s**2 - 2/5 = 0. What is s?
1
Let k be -1 + 6*4/24. Suppose 2*p - 4*q = q + 31, k = 4*q + 20. Let -1/4*b**5 + 1/4*b**p + 0*b + 1/4*b**4 - 1/4*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let o be (-436)/1635 - (-68)/30. Factor 49/6 + 1/6*q**o - 7/3*q.
(q - 7)**2/6
Let h(v) be the third derivative of v**8/3360 + v**7/336 + v**6/90 + v**5/60 - 7*v**3/6 + 8*v**2. Let c(w) be the first derivative of h(w). Factor c(b).
b*(b + 1)*(b + 2)**2/2
Let p be -5*((2 - 8) + 3/(-3)*-5). Factor 0*v**2 + 2/3*v**4 - 2/3*v**p + 0*v + 0 + 0*v**3.
-2*v**4*(v - 1)/3
Let i(o) = -4*o + 40. Let n be i(9). Let r be -1*(12/15)/(-4). Solve -2/5*a**2 + 1/5*a**n + r + 0*a**3 + 0*a = 0.
-1, 1
Solve 6/7 - 3/7*q**4 - 3/7*q**2 - 9/7*q + 9/7*q**3 = 0.
-1, 1, 2
Let r(q) be the second derivative of -q**6/165 + q**5/22 + 7*q**4/33 + 253*q. Factor r(j).
-2*j**2*(j - 7)*(j + 2)/11
Suppose 0 = -2*h + 2*m + 12, -h + 0*m + 5*m = -10. Suppose -4*r + r = o - 7, -3*o + 13 = h*r. Let -2/5*w - 2/5*w**r + 0 = 0. Calcul