(n). Factor h(u).
4*(u + 114)**4
Factor -101*l**5 + 57*l**5 + 6*l**3 + 46*l**5 - 8*l**4.
2*l**3*(l - 3)*(l - 1)
Let u(h) be the first derivative of -h**8/56 - h**7/15 - h**6/12 - h**5/30 + 17*h**2/2 + 21. Let i(v) be the second derivative of u(v). Factor i(z).
-2*z**2*(z + 1)**2*(3*z + 1)
Suppose -15*s = 17 - 827. Let n(c) be the first derivative of 2/5*c**5 + 54*c - s*c**2 + 8 + 24*c**3 - 5*c**4. Factor n(h).
2*(h - 3)**3*(h - 1)
Let o be ((-132)/363)/((-6)/33). Let p(z) be the second derivative of 1/135*z**6 + 2/27*z**3 - 1/54*z**4 + 0 + 0*z**o - 8*z - 1/45*z**5. Factor p(m).
2*m*(m - 2)*(m - 1)*(m + 1)/9
Let v(a) = a**5 - 3*a**4 + 19*a**3 - 39*a**2 + 23*a - 11. Let t(m) = -m**5 + 4*m**4 - 20*m**3 + 38*m**2 - 23*m + 10. Let d(o) = 5*t(o) + 4*v(o). Factor d(j).
-(j - 3)*(j - 2)*(j - 1)**3
Let t(z) be the second derivative of -2*z - 1/240*z**5 + 0 + 1/24*z**3 - 1/2*z**2 + 0*z**4. Let x(c) be the first derivative of t(c). Factor x(d).
-(d - 1)*(d + 1)/4
Let k(u) be the second derivative of -2*u**7/189 - 14*u**6/45 - 46*u**5/15 - 298*u**4/27 - 58*u**3/3 - 18*u**2 + 425*u. Factor k(z).
-4*(z + 1)**3*(z + 9)**2/9
Solve -50*s**4 - 24*s**3 + 91*s - 75*s**3 - 5*s**5 + 34*s + 50*s**2 - 21*s**3 = 0.
-5, -1, 0, 1
Let y(j) be the second derivative of -1/60*j**6 + 0*j**2 + 1/24*j**4 - 8*j + 0 + 1/20*j**5 - 1/6*j**3. Determine q, given that y(q) = 0.
-1, 0, 1, 2
Let 2/19*u**2 + 64/19*u + 0 = 0. What is u?
-32, 0
Let a(h) be the second derivative of h**4/48 - h**3/3 - 9*h**2/8 + 2*h + 70. What is q in a(q) = 0?
-1, 9
Factor 54/5*v**2 + 16/5 - 12*v - 2*v**3.
-2*(v - 4)*(v - 1)*(5*v - 2)/5
Let p(z) = 11*z**5 + z**4 + 20*z**3 - 6*z**2 - 37*z + 21. Let v(s) = -4*s**5 - 10*s**3 + 2*s**2 + 18*s - 10. Let o(c) = 2*p(c) + 5*v(c). Factor o(d).
2*(d - 1)**3*(d + 2)**2
Determine m, given that -2129*m + 0*m**2 + 7*m**3 + 2132*m - 8*m**2 - 2*m**4 = 0.
0, 1, 3/2
Let w be (-1140)/95 + (-40)/(-2). Let a(g) be the third derivative of 4/5*g**3 - w*g**2 + 27/50*g**5 + 9/10*g**4 + 0 + 27/200*g**6 + 0*g. What is k in a(k) = 0?
-2/3
Let m be ((-3)/(-10))/(84/112). Let l(d) be the first derivative of -m*d**2 - 13/20*d**4 - 6/25*d**5 + 0*d - 2 - 4/5*d**3 - 1/30*d**6. Solve l(t) = 0 for t.
-2, -1, 0
Suppose -55*z**4 - 80*z**3 - 94*z**2 - 120*z**3 - 5*z**5 + 160*z + 320 - 126*z**2 = 0. What is z?
-4, -2, 1
Let a = -79 + 78. Let f be 0*a/(2 - 5). Factor -1/3*m**2 + f*m + 1/3.
-(m - 1)*(m + 1)/3
Let z(t) be the second derivative of -1/7*t**4 - 9/2*t**2 - 1/14*t**3 - 4/35*t**5 + 0 + 2*t. Let d(n) be the first derivative of z(n). Factor d(r).
-3*(4*r + 1)**2/7
Determine p, given that 93 - 16*p - 77*p**2 + 82*p**2 + 20*p - 243 + 31*p = 0.
-10, 3
Let i(o) be the second derivative of -2*o - 1/120*o**5 - 3*o**2 + 1/12*o**3 - 1/96*o**4 + 1/480*o**6 + 0. Let p(b) be the first derivative of i(b). Factor p(a).
(a - 2)*(a - 1)*(a + 1)/4
Let q(w) = w**4 - 5*w**3 + w**2. Let r(h) = 22*h**4 - 112*h**3 + 77*h**2 - 8*h. Let m(o) = -14*q(o) + 2*r(o). Factor m(x).
2*x*(x - 4)*(x - 1)*(15*x - 2)
Let z(w) = -2*w**2 - w + 1. Let s(v) = 3*v**2 - 45*v + 46. Let j(o) = 5*s(o) + 10*z(o). Factor j(p).
-5*(p - 1)*(p + 48)
Let x be (-2)/((-12)/18) + -52. Let a = x - -49. Let 16/7*q - 36/7*q**2 + 24/7*q**3 + a - 4/7*q**4 = 0. Calculate q.
0, 1, 4
Let f(h) be the third derivative of -3*h**7/70 + 49*h**6/40 - 31*h**5/6 + 19*h**4/2 - 28*h**3/3 + 94*h**2. Let f(d) = 0. What is d?
2/3, 1, 14
Let b(w) be the second derivative of 6*w**4 + 4*w**3 + w**2 + 121*w. Determine z, given that b(z) = 0.
-1/6
Let g = 30621 - 29793. Find v, given that 486 + g*v**2 + 58/3*v**4 + 1134*v + 596/3*v**3 + 2/3*v**5 = 0.
-9, -1
Suppose 18 = 5*n + 2*m + 4, 15*m = 2*n + 26. Suppose -9/7*l + 0 + 3/7*l**n = 0. What is l?
0, 3
Let i(u) be the first derivative of 2*u - 12 + 2/3*u**3 + 2*u**2. Factor i(c).
2*(c + 1)**2
Let t(o) = -350*o + 1055. Let d be t(3). Suppose 4/3*q**3 + 2/3 + 4/3*q**2 + 2/3*q**d - 2*q**4 - 2*q = 0. Calculate q.
-1, 1
Let 2/5*u**2 + 6/5*u - 8/5 = 0. What is u?
-4, 1
Let u(x) be the third derivative of -x**8/2184 + x**7/1365 - 3*x**2 - 13*x. Factor u(k).
-2*k**4*(k - 1)/13
Let f(s) = s**4 + 9*s**3 - 36*s**2 - 44*s. Let m(q) = -3*q**3 + 12*q**2 + 15*q. Let c(o) = -3*f(o) - 8*m(o). Determine r, given that c(r) = 0.
-2, -1, 0, 2
What is r in 0 - 1 + 5*r**2 + 14 + 12 + 30*r = 0?
-5, -1
Let i be (-2 + 2 + -1)*4. Let x(t) = -t**3 - 5*t**2 - 5*t - 2. Let w be x(i). Factor p**4 - 8 + 8 + 2*p - w*p**3 - 1.
(p - 1)**3*(p + 1)
Let f(j) be the third derivative of -1/48*j**4 - 2*j**2 + 0*j - 1/420*j**7 + 1/2016*j**8 + 0 + 1/180*j**5 + 1/360*j**6 + 1/36*j**3. Find r such that f(r) = 0.
-1, 1
Let q(d) be the first derivative of -d**6/2 - 27*d**5/5 - 27*d**4/2 + 4*d**3 + 36*d**2 - 159. Suppose q(f) = 0. What is f?
-6, -2, 0, 1
Let b(s) be the first derivative of s**6/45 - 2*s**5/15 + 5*s**4/18 - 2*s**3/9 - 16*s + 4. Let f(q) be the first derivative of b(q). Let f(l) = 0. Calculate l.
0, 1, 2
Let l(i) = -i**3 + 10*i**2 - i + 12. Let k be l(10). Let b(v) = v**2 - 8*v + 10. Let x be b(7). Factor -1 + 4*j - k*j - x*j**2 + j + j**3.
(j - 1)**3
Solve -40/11*g**3 + 0 + 0*g**2 - 162/11*g**4 + 0*g - 8/11*g**5 = 0.
-20, -1/4, 0
Suppose 0 = -w + 3*w - 2. Let l = w + 4. Find o, given that -16*o**l - 32*o**4 + 2*o**2 - 2*o**3 - 10*o**3 + o - 3*o**3 = 0.
-1, -1/4, 0, 1/4
Let k(y) be the first derivative of 5/12*y**2 - 1/3*y**5 + 37 + 0*y - 10/9*y**3 + 25/24*y**4. Factor k(b).
-5*b*(b - 1)**2*(2*b - 1)/6
Let l(g) be the second derivative of -19*g**6/210 - 17*g**5/140 + g**4/42 + 379*g. Determine q so that l(q) = 0.
-1, 0, 2/19
Let a(o) be the second derivative of o**5/5 + 27*o**4 + 1066*o**3 - 3362*o**2 + 63*o. Let a(s) = 0. Calculate s.
-41, 1
Solve -1/7*l**3 - 360/7*l + 400/7 - 39/7*l**2 = 0.
-20, 1
Let c(l) be the third derivative of -l**5/15 - 14*l**4 - 1176*l**3 - 76*l**2. Factor c(v).
-4*(v + 42)**2
Let b(y) be the first derivative of -2*y**3/51 + y**2/17 + 14. Determine g, given that b(g) = 0.
0, 1
Determine l, given that 12*l**4 - 24*l**2 + 12 - 6/5*l**5 - 6/5*l + 12/5*l**3 = 0.
-1, 1, 10
Suppose 21 = -3*k + 10*k. Determine p so that 6*p**k + 6*p - 10*p**2 + 8*p - 6 - 4*p**3 = 0.
1, 3
What is k in 24*k + 48*k**2 - 6*k**4 - 96 + 3/2*k**5 - 12*k**3 = 0?
-2, 2, 4
Let h be (-1)/(3/(-108)*-4). Let q = -26/3 - h. Determine l so that 1/3*l + 2/3 - q*l**2 = 0.
-1, 2
Let x = -639/7 + 1285/14. Factor -x*n**3 + 0*n**4 + 1/4*n**5 + 1/4*n + 0*n**2 + 0.
n*(n - 1)**2*(n + 1)**2/4
Let b = -23 + 31. Let s be (-6)/b - (-273)/12. Find u such that -3*u + 3*u**2 - 5*u + 7 - s - 4*u = 0.
-1, 5
Let w(d) be the third derivative of -d**5/30 + 7*d**4/12 + 6*d**3 + 89*d**2 + 2*d. Find x, given that w(x) = 0.
-2, 9
Let y(s) = 3*s**3 - 81*s**2 - s + 27. Let i be y(27). Factor i - n - 2*n**2 - 3/4*n**3.
-n*(n + 2)*(3*n + 2)/4
Let k(v) be the first derivative of -v**5/4 + 5*v**4/2 - 10*v**3 + 20*v**2 + 12*v + 8. Let i(y) be the first derivative of k(y). Factor i(s).
-5*(s - 2)**3
Suppose 8*k**3 + 4*k**4 - 13*k**3 - 2*k**4 + 3*k**3 - 24*k**2 = 0. What is k?
-3, 0, 4
Let g(l) be the first derivative of 6 + 1/8*l**4 - 1/6*l**3 - 5/4*l**2 - 3/2*l. Factor g(x).
(x - 3)*(x + 1)**2/2
Let d(y) be the third derivative of 9/40*y**4 + 0*y**3 + 0*y + 3/20*y**5 - 15*y**2 + 0 + 1/350*y**7 + 7/200*y**6. Factor d(j).
3*j*(j + 1)*(j + 3)**2/5
Suppose 5/4*s**5 + s - 1/2*s**4 - 15/4*s**3 - s**2 + 0 = 0. What is s?
-1, 0, 2/5, 2
Let t = -7 - -9. Let o = 4 - t. Determine y, given that -7*y - 3*y**2 + y - 3 + 0*y**o = 0.
-1
Let y(a) = a**2 - 9*a + 13. Let x be y(8). Let k(j) = j**2 - 7*j - 6. Let h be k(8). Factor -2 + 50*b - x*b**h - 33 - 97 + 7.
-5*(b - 5)**2
Let n(h) be the second derivative of 0*h**4 - 29*h - 1/2*h**5 + 0 + 5/3*h**3 + 5/2*h**2 - 1/6*h**6. Determine r, given that n(r) = 0.
-1, 1
Let b be 2 + 0 - (-1 - -1). Let u(i) = -i**2 + 8*i - 9. Let a be u(6). Factor 2*k**3 + 2*k**5 + 5*k**3 - 2*k**2 - b*k**a + k**3 - 6*k**4.
2*k**2*(k - 1)**3
Suppose 4*p - 26 = -14. Let t be p - ((-34)/(-21))/(2/3). Factor 0 + t*w**3 - 2/7*w - 2/7*w**2.
2*w*(w - 1)*(2*w + 1)/7
Find q such that 0*q + 0 + 40/11*q**3 - 2*q**4 - 14/11*q**2 - 4/11*q**5 = 0.
-7, 0, 1/2, 1
Determine l, given that -82*l**3 - 40*l**2 + 23*l**3 + 32*l**3 + 8*l**2 + 31*l**3 = 0.
0, 8
Let w = 2029 + -18257/9. Solve -2/9*r**2 - 2