*2 + 0 + 0*n.
n**3*(n + 16)/6
Factor -1/4*k**2 + 64*k - 4096.
-(k - 128)**2/4
Let u(z) be the third derivative of 0 - 1/3*z**3 + 0*z - 1/180*z**5 + 5/72*z**4 + 20*z**2. Determine r so that u(r) = 0.
2, 3
Let c(y) be the third derivative of y**7/525 - y**6/25 + 2*y**5/75 + 16*y**4/5 + 256*y**3/15 + 72*y**2. Factor c(s).
2*(s - 8)**2*(s + 2)**2/5
Let c(t) be the first derivative of -2/13*t**3 - 1/26*t**4 + 1 + 0*t - 2/13*t**2. Factor c(l).
-2*l*(l + 1)*(l + 2)/13
Let h = -2 + 5. Let m = -38 + 41. Factor -6*n - 40*n**m - 21*n**2 - 11*n**4 - 4*n**4 + 13*n**h - 3*n**5.
-3*n*(n + 1)**3*(n + 2)
Suppose -2*b + 432 = 2*b. Factor b + j**2 + 2*j**2 + 19*j + 7*j + 10*j.
3*(j + 6)**2
Let q(j) be the first derivative of j**7/140 + 3*j**6/80 - j**4/4 - 2*j**2 - 12. Let h(a) be the second derivative of q(a). Factor h(x).
3*x*(x - 1)*(x + 2)**2/2
Factor 8*b**2 - 875*b - 3*b**3 + 16 - b**3 - 841*b + 1744*b.
-4*(b - 4)*(b + 1)**2
Let w(s) be the first derivative of s**3/4 - 159*s**2/2 + 8427*s + 102. Factor w(a).
3*(a - 106)**2/4
Let g = -1 - -3. Let t = -118 - -830/7. Factor -2/7*h**g + t - 2/7*h.
-2*(h - 1)*(h + 2)/7
Let l(a) be the first derivative of 3*a**5/5 - 78*a**4 + 2598*a**3 + 8268*a**2 + 8427*a + 226. What is v in l(v) = 0?
-1, 53
Let z = -16773 + 16773. Determine n, given that -2/9*n**5 + 20/9*n**2 - 2/3*n + 4/3*n**4 + z - 8/3*n**3 = 0.
0, 1, 3
Let v(j) be the third derivative of -j**7/2520 - j**6/360 - 5*j**4/12 - 17*j**2. Let a(i) be the second derivative of v(i). Let a(h) = 0. What is h?
-2, 0
Let t = 42 - 629/15. Let y(w) be the second derivative of -t*w**6 + 1/5*w**5 + 0 + 0*w**2 + 0*w**3 + 4*w - 1/6*w**4. Factor y(u).
-2*u**2*(u - 1)**2
Suppose 8 = -4*t, -4 = 2*n + 5*t - 3*t. Let g(b) be the first derivative of 4 - 9/4*b**2 + n*b**3 + 3/8*b**4 + 3*b. Find i, given that g(i) = 0.
-2, 1
Let -12 - 3*n + 9*n - 45*n - 87*n**2 - 52*n - 8*n = 0. Calculate n.
-1, -4/29
Let d(z) be the second derivative of -11*z**4/3 + 62*z**3/3 + 12*z**2 - 32*z. Factor d(l).
-4*(l - 3)*(11*l + 2)
Let u(h) = 5*h**3 - 975*h**2 + 48021*h - 47039. Let p(d) = 5*d**3 - 975*d**2 + 48020*d - 47040. Let q(m) = -6*p(m) + 5*u(m). Factor q(z).
-5*(z - 97)**2*(z - 1)
Suppose -18*r**2 - 3/4*r**3 + 0 + 3/4*r**4 - 27*r = 0. Calculate r.
-3, -2, 0, 6
Let o(n) = 5*n - 27. Let m be o(11). Suppose 29*k - 2*k**2 - m + 10*k - 14*k + 5*k = 0. Calculate k.
1, 14
Let z be 28/80*(-6)/(-7)*10. Suppose 0 + 2/3*y - 10/3*y**4 + 2*y**z - 8/3*y**5 + 10/3*y**2 = 0. What is y?
-1, -1/4, 0, 1
Let o(q) be the third derivative of -q**6/300 - q**5/25 + 9*q**2 + 7*q. Factor o(j).
-2*j**2*(j + 6)/5
Let y(w) be the third derivative of -w**7/315 - 2*w**6/135 - 2*w**5/135 - 181*w**2. Factor y(u).
-2*u**2*(u + 2)*(3*u + 2)/9
Let u(m) = -2*m + 26. Let f be u(14). Let g(h) = -h**2 - 8*h + 7. Let x(c) = c - 1. Let i(j) = f*g(j) - 14*x(j). Determine t so that i(t) = 0.
-1, 0
Let u(y) = 4*y**2 + 22*y - 4. Let q be u(-6). Factor 2*r**3 - 2*r + 4 - 3*r**4 - 3*r**4 + 8*r**4 - q*r**2 + 2*r**2.
2*(r - 1)**2*(r + 1)*(r + 2)
Let y(l) be the second derivative of 0 + 1/2*l**3 + 3/80*l**5 + 13*l + 1/4*l**4 + 0*l**2. Let y(o) = 0. Calculate o.
-2, 0
Let i = 11 + -11. Let b = 143/141 + 15/47. Factor i*n + 2/3*n**5 + b*n**4 + 0*n**3 + 0 + 0*n**2.
2*n**4*(n + 2)/3
Let i(l) be the second derivative of l**6/6 - 7*l**5/2 + 15*l**4 - 85*l**3/3 + 55*l**2/2 + 120*l + 1. Factor i(j).
5*(j - 11)*(j - 1)**3
Let b(d) be the third derivative of -507*d**8/784 + 299*d**7/49 - 433*d**6/21 + 172*d**5/7 + 50*d**4/7 + 16*d**3/21 - 749*d**2. Solve b(r) = 0.
-2/39, 2
Let n be 10*95/(-960) - -1. Let a(r) be the third derivative of r**2 + 0*r - 1/240*r**5 + 0 - n*r**4 + 0*r**3. Factor a(g).
-g*(g + 1)/4
Determine n, given that -20/11*n + 6/11*n**2 + 2/11*n**3 + 0 = 0.
-5, 0, 2
Find l such that 3/7*l**5 + 0 + 6/7*l**4 - 6/7*l**2 - 3/7*l + 0*l**3 = 0.
-1, 0, 1
Factor -50/3*k + 3*k**4 + 112/3*k**2 + 7/3 - 26*k**3.
(k - 7)*(k - 1)*(3*k - 1)**2/3
Let v = 2/39 + -14551/78. Let c = v - -188. Factor -c*g + 1/2*g**3 + 0*g**2 + 1.
(g - 1)**2*(g + 2)/2
Let o(c) be the second derivative of 2*c**7/105 + 6*c**6/25 + 28*c**5/25 + 12*c**4/5 + 32*c**3/15 - 104*c. Solve o(t) = 0.
-4, -2, -1, 0
Let v = 116 + -117. Let t be 5/75 + v/6*-2. Find i, given that -t*i**2 + 0*i**3 + 1/5*i**4 + 0*i + 1/5 = 0.
-1, 1
Let g(d) = -3*d**2 - 39*d - 48. Let o(r) = -r**2 - 10*r - 12. Let s be 0/5 - 1*-2. Let q = -20 + 11. Let x(b) = q*o(b) + s*g(b). Find u such that x(u) = 0.
-2
Factor -3/5*b**5 + 0*b - 1/5*b**2 + 0 - b**3 - 7/5*b**4.
-b**2*(b + 1)**2*(3*b + 1)/5
Let r(z) = -z - 4. Let t be r(-6). Find m, given that t*m + 2*m**3 - 2*m**3 + 4*m**4 - 228*m**2 - 2*m**5 + 224*m**2 = 0.
-1, 0, 1
Let y(j) be the second derivative of -1/130*j**5 - 1/26*j**4 + 0 + 0*j**2 - 2/39*j**3 - 20*j. Factor y(m).
-2*m*(m + 1)*(m + 2)/13
Suppose 0 = -2*r + 2*p + 18, -r + 69*p - 9 = 71*p. Let t = 0 + 0. Let 21/2*a**2 + 27/2*a**3 + 15/2*a**4 + r*a + t + 3/2*a**5 = 0. What is a?
-2, -1, 0
Let v be -7 + 3 + -3 + 9. Determine k, given that 0*k + 2/5*k**5 + 32/5 + 6/5*k**4 - 32/5*k**v - 8/5*k**3 = 0.
-2, 1, 2
Let n = -82 - -86. Let g(d) be the second derivative of 1/6*d**n - 1/10*d**5 + 0 - d**2 + 1/3*d**3 - 5*d. Factor g(b).
-2*(b - 1)**2*(b + 1)
Suppose i = 3*q - 9, -5*i + 23 = 2*q - 0*q. Factor 4*o**2 - q + 12*o - 3 + 7.
4*o*(o + 3)
Let g be 374/44 - (-5)/(-2). Factor 25/7*b - g*b**2 + 9/7*b**3 - 4/7.
(b - 4)*(3*b - 1)**2/7
Let h(t) = 8*t**2 - 8*t - 3. Let d(g) = 65*g**2 - 65*g - 25. Suppose -50 = 9*f - 11*f. Let n(v) = f*h(v) - 3*d(v). Factor n(a).
5*a*(a - 1)
Let a = 2 - 0. Suppose 10*u - 48 = -a*u. Factor -5/2*q**3 + 5/4*q**u - 1/4*q**5 - 5/4*q + 1/4 + 5/2*q**2.
-(q - 1)**5/4
Let p(g) be the second derivative of g**4/6 + 70*g**3/27 - 16*g**2/9 - 27*g. What is h in p(h) = 0?
-8, 2/9
Suppose -301*x - 235 = -398 - 439. Find s such that 2*s**2 + 4/3*s - 2/3*s**5 - x*s**4 + 0 - 2/3*s**3 = 0.
-2, -1, 0, 1
Let t(z) be the first derivative of 4*z**3/3 + 40*z**2 + 400*z - 124. Suppose t(p) = 0. Calculate p.
-10
Let l(d) be the second derivative of -d**5/60 - d**4/12 - 5*d - 1. Suppose l(b) = 0. Calculate b.
-3, 0
Let g(l) = 22*l - 8. Let x be g(1). Let y be (-8)/(-14) + (-1)/x. Factor 0 + y*m**3 - 1/2*m**5 + 1/2*m**4 + 0*m - 1/2*m**2.
-m**2*(m - 1)**2*(m + 1)/2
Let v(t) = -t**3 - 4*t**2 - 3*t. Let j be v(-2). Let s be 77 + 4 + 0 + j. Factor 9*m**3 + s - 6*m**2 - 3*m**5 - 79.
-3*m**2*(m - 1)**2*(m + 2)
Let o(k) be the third derivative of k**6/108 + 23*k**5/270 + 5*k**4/27 - 4*k**3/9 + 4*k**2 + 41. Let o(a) = 0. Calculate a.
-3, -2, 2/5
Factor 6*p**2 + 0*p + 0 - 40/7*p**3 - 2/7*p**4.
-2*p**2*(p - 1)*(p + 21)/7
Suppose 22/3*a - 52/3 + 2/3*a**2 = 0. What is a?
-13, 2
Let q(b) be the second derivative of -b**5/10 + 35*b**4/3 - 384*b**3 - 2592*b**2 + b + 51. Determine z so that q(z) = 0.
-2, 36
Let z(o) = -2*o**3 + 16*o**2 + 2*o - 12. Let v(k) = k**3 - 15*k**2 - k + 12. Let l(d) = 4*v(d) + 3*z(d). Factor l(b).
-2*(b - 1)*(b + 1)*(b + 6)
Let n = 43 + -41. Let o(r) be the first derivative of 4/3*r**3 + 10 + 0*r + 4*r**n. What is q in o(q) = 0?
-2, 0
Let d(m) = -m**3 + m**2 + 2*m + 1. Let f(p) = -3*p**4 + 7*p**3 + 15*p**2 + 2. Let j(s) = -21*d(s) + 3*f(s). Let j(b) = 0. Calculate b.
-1, -1/3, 1, 5
Let g(p) = p**2 + 13*p - 10. Let d be g(-14). Find f such that 0*f**5 - 2*f**2 + 6*f**4 - f**d + 2*f**5 - 2*f**3 - 3*f**4 = 0.
-1, 0, 1
Let w(h) = -h**2 + 46*h - 164. Let o be w(42). Let n(r) be the second derivative of 1/20*r**5 + 0*r**3 + 0 - 1/4*r**o + 2*r**2 + 5*r. Factor n(m).
(m - 2)**2*(m + 1)
Let y(o) be the first derivative of o**5 + 5*o**4/2 - 25*o**3 + 10*o**2 + 100*o + 25. Factor y(s).
5*(s - 2)**2*(s + 1)*(s + 5)
Factor 152/5 + 8/5*i - 38/5*i**2 - 2/5*i**3.
-2*(i - 2)*(i + 2)*(i + 19)/5
Let q(n) be the second derivative of -n**6/960 - n**5/240 - 19*n**2/2 + 18*n. Let v(i) be the first derivative of q(i). Factor v(t).
-t**2*(t + 2)/8
Determine p so that -1/4*p**5 - 3*p**3 - 3/2*p**4 + 0*p + 0 - 2*p**2 = 0.
-2, 0
Let x(g) be the second derivative of -g**6/720 + g**5/80 - g**4/24 - 26*g**3/3 - 61*g. Let p(v) be the second derivative of x(v). Find a such that p(a) = 0.
1, 2
Suppose -4*s + 888 = -s + 5*u, 0 = 4*s + 3*u - 1195. Let y = s + -297. Factor -4*g + 8/7 + 36/7*g**2 - 20/7*g**3 + 4/7*g**y.
4*(g - 2)*(g - 1)**