erivative of -n**5/160 - 23*n**4/192 + n**3/6 - 315*n**2. Determine a so that l(a) = 0.
-8, 1/3
Let q(f) be the third derivative of -f**6/360 - f**5/20 + 7*f**4/24 + 5*f**3 + 27*f**2. Let p(m) be the first derivative of q(m). Factor p(s).
-(s - 1)*(s + 7)
Let s = 20 + -11. Let o be (3 - 28/12)/(2/s). Suppose 2/3 + 4/3*r**2 + 5/3*r + 1/3*r**o = 0. Calculate r.
-2, -1
Let x(k) be the third derivative of k**6/660 + k**5/55 - 5*k**4/44 + 2*k**3 - 9*k**2. Let z(q) be the first derivative of x(q). Factor z(s).
6*(s - 1)*(s + 5)/11
Determine p so that 3/2*p**3 - 81/2 - 99/2*p - 15/2*p**2 = 0.
-3, -1, 9
Suppose -15*q - 236*q + 7080 = 221*q. Solve -33/2 + q*d + 3/2*d**2 = 0.
-11, 1
Let r(p) be the first derivative of 2*p**5/85 + p**4/17 - 14*p**3/51 + 4*p**2/17 - 460. Factor r(k).
2*k*(k - 1)**2*(k + 4)/17
Suppose -12 = -s + l, 18 = 3*s - 4*l - 18. Let r(i) be the first derivative of 4 + 5*i**3 - 12*i**2 + s*i - 3/4*i**4. Factor r(q).
-3*(q - 2)**2*(q - 1)
Let s(w) be the first derivative of -w**7/2520 + w**5/360 + 14*w**3/3 + 16. Let l(a) be the third derivative of s(a). Factor l(k).
-k*(k - 1)*(k + 1)/3
Solve -5*a + 24*a**3 + 28*a**2 + 7*a**5 - 15*a**5 - 27*a + 20*a**2 - 28*a**4 - 4*a**5 = 0.
-2, 0, 2/3, 1
Let c(h) be the second derivative of 6/5*h**6 - 4*h + 0*h**2 - 9/5*h**5 + 0 + 0*h**3 + 2/3*h**4. Factor c(z).
4*z**2*(3*z - 2)*(3*z - 1)
Let g(w) = w**3 + w**2 - 4*w + 2. Let n be g(0). Factor 0*k + 13*k**3 - 5*k**3 - 6*k**3 + 8*k - 8*k**n.
2*k*(k - 2)**2
Let t(c) be the third derivative of c**7/140 - c**6/80 - 3*c**5/8 - 23*c**4/16 - 5*c**3/2 - 116*c**2. Solve t(q) = 0.
-2, -1, 5
Factor 1/2*h**2 + 13122 + 162*h.
(h + 162)**2/2
Let o(g) be the third derivative of g**8/42 - g**7/7 + g**6/5 + 2*g**5/15 - 2*g**2 + 36. Find p such that o(p) = 0.
-1/4, 0, 2
Let l(c) be the second derivative of -1/2*c**5 + 0 + 42*c + 1/3*c**3 + 0*c**2 + 2/3*c**4. Factor l(h).
-2*h*(h - 1)*(5*h + 1)
Let f = 13 + -9. Suppose 2*t = 5*a, 2*a = f*a - 2*t. Factor 1/5*c**3 - 1/5*c + 1/5*c**4 - 1/5*c**2 + a.
c*(c - 1)*(c + 1)**2/5
Suppose 2*j - 11 = -3*i - 2*j, 2*j = 4. Let v(w) = -3*w**2 + 36*w - 15. Let b(d) = -d. Let g(h) = i*v(h) + 18*b(h). Factor g(o).
-3*(o - 5)*(o - 1)
Let m(k) be the third derivative of -1/15*k**5 + 0*k + 0 + 0*k**3 - 16*k**2 - 1/3*k**4. Factor m(p).
-4*p*(p + 2)
Let z(f) be the third derivative of 1/90*f**5 - 1/9*f**3 + 0*f + 0 - 13*f**2 - 1/180*f**6 + 1/36*f**4. What is t in z(t) = 0?
-1, 1
Let x(p) be the second derivative of -3*p**7/280 - p**6/240 + 3*p**5/80 + p**4/48 + 41*p**2/2 + 9*p. Let u(g) be the first derivative of x(g). Factor u(m).
-m*(m - 1)*(m + 1)*(9*m + 2)/4
Let p(r) be the third derivative of 5*r**8/1008 + 2*r**7/63 + r**6/12 + r**5/9 + 5*r**4/72 + 49*r**2. Factor p(k).
5*k*(k + 1)**4/3
Let h = 2/61 + 179/122. Let f(m) be the second derivative of 0*m**5 - 1/2*m**4 + 1/10*m**6 + h*m**2 + 5*m + 0*m**3 + 0. Suppose f(y) = 0. What is y?
-1, 1
Let i(v) be the first derivative of -2*v**4 - 22*v**3 + 4*v**2 + 66*v - 55. Factor i(p).
-2*(p - 1)*(p + 1)*(4*p + 33)
Let d = 52 - 51. Let o(i) be the first derivative of 0*i - d + 1/2*i**3 - 1/6*i**2. Factor o(l).
l*(9*l - 2)/6
Let i(a) be the first derivative of 0*a + 22*a**2 - 1 - 4/3*a**3. Determine w so that i(w) = 0.
0, 11
Suppose -10/9*v**4 + 2/9*v**5 + 0*v - 8/9*v**2 + 16/9*v**3 + 0 = 0. What is v?
0, 1, 2
Let c be 81/7 - 3/(-7). Determine y so that 2*y**5 + 0*y**5 + c*y**3 - 4*y**4 - 10*y**3 = 0.
0, 1
Let v be ((-6)/70)/(576/(-10752)). Factor v*l**2 - 4/5 + 14/5*l.
2*(l + 2)*(4*l - 1)/5
Let d(u) be the second derivative of -5/9*u**3 - 2*u + 0 - 5/36*u**4 + 5/2*u**2. What is a in d(a) = 0?
-3, 1
Factor -36/7*u + 4/7*u**2 + 8.
4*(u - 7)*(u - 2)/7
Suppose d + 3*d - 44 = 0. Find v, given that 5*v**2 + v + 0*v - d*v + 0*v**2 - 15 = 0.
-1, 3
Suppose w - 3 - 4 = 0. Suppose -2*n - 20 = -w*n. Determine v, given that -4*v**n + 2*v**3 + 0*v**3 - 2*v**3 = 0.
0
Let a be 699/63 + (156/(-18) - -9). Factor 60/7*f**2 + 2/7 + 20/7*f + 12/7*f**5 + 50/7*f**4 + a*f**3.
2*(f + 1)**4*(6*f + 1)/7
Let m(o) be the second derivative of -o**4/60 - 4*o**3/15 - 6*o**2/5 + 173*o. Find j, given that m(j) = 0.
-6, -2
Let t(h) = h**5 - h**4 - 2*h**3 - 3*h**2 - 3*h + 3. Let u(r) = 0*r + r - 1 + r**2 + r**4 + r**5 + 0*r. Let d(q) = t(q) + 3*u(q). What is b in d(b) = 0?
-1, 0, 1/2
Factor 31*h**2 + 6*h - h**3 + h**4 - 2*h**2 - 33*h**2 + 0*h - 2*h.
h*(h - 2)*(h - 1)*(h + 2)
Let z be (((-39)/6)/(2/8))/1. Let l be 16/(-8) - (-1)/((-5)/z). Factor -7/5*m**3 + l*m**2 + 0 - 4/5*m.
-m*(m - 2)*(7*m - 2)/5
Let p(c) be the first derivative of -13 + 30/11*c**2 - 46/33*c**3 + 18/11*c + 2/11*c**4. Factor p(a).
2*(a - 3)**2*(4*a + 1)/11
Let v(p) be the first derivative of -108*p - 3/8*p**4 - 45*p**2 - 7*p**3 + 38. Solve v(r) = 0.
-6, -2
Factor -26*n + 74/15*n**2 + 186/5 - 2/15*n**3.
-2*(n - 31)*(n - 3)**2/15
Let b(v) be the third derivative of v**7/504 - v**6/144 - v**5/12 - 13*v**4/24 - v**2 + 4*v. Let j(m) be the second derivative of b(m). Factor j(u).
5*(u - 2)*(u + 1)
Suppose 12 = 3*u - 2*u. Suppose -8*m - u = -12*m. Find f, given that 4/5*f**m - 4/5*f - 2/5 + 0*f**2 + 2/5*f**4 = 0.
-1, 1
Let x be (-14)/(-21)*(-729)/(-36). Factor -81/2*q + 81/2 + x*q**2 - 3/2*q**3.
-3*(q - 3)**3/2
Let m(d) be the first derivative of -d**2 - 12*d + 10. Let c be m(-9). Factor 5*j - 2*j - 5*j + 6*j + c*j**2.
2*j*(3*j + 2)
Let u(h) = -h**2 + 9*h - 11. Let m(b) = -b**2 + b + 63. Let g be m(8). Let a be u(g). Factor -1/5*o - 2/5 + 9/5*o**2 + 13/5*o**a + o**4.
(o + 1)**3*(5*o - 2)/5
Suppose b + 5 = -2. Let d be (30/b)/(5/(-35)). Suppose 71 - 188 - 133 - 150*a - d*a**2 - 2*a**3 = 0. What is a?
-5
Factor 44*h + 131/3 + 1/3*h**2.
(h + 1)*(h + 131)/3
Let s be 1 - 5/((-5)/1). Factor -7*l**3 - 3*l**s - 2*l**3 + 6*l**3 + 3 + 3*l.
-3*(l - 1)*(l + 1)**2
What is y in -3/5*y**3 - 204/5*y - 192/5 - 12*y**2 = 0?
-16, -2
Let z(h) be the third derivative of -h**6/1020 - 7*h**5/510 - 5*h**4/68 - 3*h**3/17 - 310*h**2. Factor z(d).
-2*(d + 1)*(d + 3)**2/17
Let b(l) be the first derivative of 5*l**3/3 - 1005*l**2 + 202005*l + 102. Factor b(y).
5*(y - 201)**2
Let r(t) = 12*t**2 + t + 25. Let g(y) = -y**2 - y. Suppose 2*k = 7*k - 220. Let d(w) = k*g(w) + 4*r(w). Factor d(s).
4*(s - 5)**2
Let u(f) be the first derivative of 0*f + 2 - 2/3*f**6 + 0*f**4 + 8/3*f**3 - 8/5*f**5 + 2*f**2. Find s such that u(s) = 0.
-1, 0, 1
Let v(z) = -8*z**2 - 252*z + 128. Let x be v(-32). Determine h, given that x*h**2 + 4/5*h**3 + 2/5*h**4 - 4/5*h - 2/5 = 0.
-1, 1
Suppose -q = -5*b, 0 = -2*q - 64*b + 62*b. Factor 3/2*y**3 + q*y - 3/2*y**4 + 0*y**2 + 0.
-3*y**3*(y - 1)/2
Let n be 63/(-9) + 1 - (-3 - -7 - 13). Determine v, given that 3/8*v**5 - 3/4*v**4 + 21/8*v + 3/2 - 3/4*v**2 - 3*v**n = 0.
-1, 1, 4
Let w be (-33)/(-66) + (-1)/(2/(-4)). Let t(u) be the first derivative of -w*u**2 - 9 + 0*u + 10/3*u**3 - 5/4*u**4. Determine k, given that t(k) = 0.
0, 1
Let l(n) be the second derivative of -n**4/60 + n**2/10 + 2*n. Suppose l(t) = 0. Calculate t.
-1, 1
Let h(o) = -32*o**3 + 290*o**2 + 397*o + 85. Let s(u) = 16*u**3 - 144*u**2 - 198*u - 42. Let g(d) = 2*h(d) + 5*s(d). Determine z so that g(z) = 0.
-1, -1/4, 10
Let i(s) = -34*s - 52. Let z(a) = 16*a + 26. Let h(r) = 6*i(r) + 13*z(r). Let n be h(-6). Factor 1/6*d**n + 3/2 - d.
(d - 3)**2/6
Let y(t) be the second derivative of -2/3*t**4 + 0*t**5 + 0*t**2 + 2/3*t**3 + 27*t + 0 - 2/21*t**7 + 4/15*t**6. Factor y(d).
-4*d*(d - 1)**3*(d + 1)
Let q = 75 - 51. Factor 17*a - 24*a**3 + 28*a + 23*a - q + 20*a**2.
-4*(a - 2)*(2*a + 3)*(3*a - 1)
Let w = -26 - -28. Determine j, given that -8 + 4 - j**w + 8*j - 4 - 8 = 0.
4
Let s = -337/20 - -321/10. Let a = s + -379/28. Suppose 9/7*o**2 - a - 36/7*o + 24/7*o**3 - 9/7*o**4 = 0. What is o?
-1, -1/3, 2
Factor 6*n**2 + 3/7*n**4 + 0 - 24/7*n - 3*n**3.
3*n*(n - 4)*(n - 2)*(n - 1)/7
Let t = -942 + 950. Let g(s) be the second derivative of -t*s - 1/105*s**7 + 0*s**4 + 0*s**3 + 0*s**2 + 0 + 2/75*s**6 - 1/50*s**5. Factor g(v).
-2*v**3*(v - 1)**2/5
Factor -1/5*d**4 + 0*d + 0 + 0*d**2 + 2/5*d**3.
-d**3*(d - 2)/5
Let x(f) = f**2 - 14*f + 16. Let v be x(13). Factor 18*d**3 + 66*d**2 + 27 + v*d**4 + 0*d + 6*d**3 + 72*d.
3*(d + 1)**2*(d + 3)**2
Let a = 63 + -59. Suppose -q + 3*t = -6*q + 15, -a*q + t + 12 = 0. Factor 2/7*k**2 - 4/7*k*