+ 0*n**2 + 2/11*n**4 - 8/11*n**3. Factor f(k).
2*k**2*(k - 2)*(k + 6)/11
Solve 43360*s**3 - 2162/9*s**4 + 0*s - 28800*s**2 + 1/3*s**5 + 0 = 0.
0, 2/3, 360
Let t(a) be the first derivative of -a**4/60 + 13*a**3/5 - 1521*a**2/10 - 97*a + 99. Let n(f) be the first derivative of t(f). Factor n(m).
-(m - 39)**2/5
Suppose b - 5*n - 3 + 10 = 0, b + 1 = 2*n. Let -246*c**2 + 81*c**3 - 131 - 253 + 1056*c - 66*c**b = 0. Calculate c.
2/5, 8
Let b = 1000/3 - 333. Let l(c) be the second derivative of -b*c**4 - 10/3*c**3 + 0*c**2 - 21*c + 0. Let l(d) = 0. Calculate d.
-5, 0
Suppose -81/2*y - 39 - 3/2*y**2 = 0. Calculate y.
-26, -1
Factor 7/3*p**4 + 187/3*p**3 - 460/3*p**2 + 0 + 116/3*p.
p*(p - 2)*(p + 29)*(7*p - 2)/3
Let b be 2*(-6 + 513/6). Let g = 1149/7 - b. Let -16/7 + 44/7*i**2 + 0*i - g*i**3 + 8/7*i**4 = 0. Calculate i.
-1/2, 1, 2
Let t be 2/(-4) - 5/(-2). Suppose -t*r + 71 = 83. Let b(z) = -6*z**2 - 5*z - 25. Let h(i) = -i**2 - i - 4. Let w(q) = r*b(q) + 39*h(q). Factor w(f).
-3*(f + 1)*(f + 2)
Let z(o) be the second derivative of 5*o**4/72 + 25*o**3/6 + 375*o**2/4 - 2136*o. Determine v, given that z(v) = 0.
-15
What is m in 80/3*m + 2/3*m**2 + 200 = 0?
-30, -10
Suppose 30*z - 4*f + 6 = 35*z, -5*z = -3*f - 13. Find v, given that 37/5*v**z + 9/5*v + 27/5*v**3 - 1 + 4/5*v**4 = 0.
-5, -1, 1/4
Let w(r) = 9*r**2 - 2*r + 25. Let n(v) = -2*v**2 - v - 5. Let u(x) = -5*n(x) - w(x). Factor u(g).
g*(g + 7)
Determine w, given that -48 + 2/3*w**3 + 20/3*w + 22/3*w**2 = 0.
-9, -4, 2
Let r be (-7)/(-140)*80/55. Let m = r + 157/110. Factor 3*z**2 + m*z**3 + 0*z + 0 - 3/2*z**4.
-3*z**2*(z - 2)*(z + 1)/2
Let q be 11 - (399/(-51) - -8 - (-4256)/544). Suppose 3*m**q + 0 + 0*m**2 + 1/6*m**5 - 9/2*m - 4/3*m**4 = 0. Calculate m.
-1, 0, 3
Let f(m) be the first derivative of 139 - m**5 + 15/2*m**2 + 10*m - 15/4*m**4 - 5/3*m**3. Suppose f(q) = 0. Calculate q.
-2, -1, 1
Let f = 7617 + -7615. Let b(p) be the first derivative of 1/22*p**4 + 28 + 0*p - 4/11*p**f + 2/11*p**3. Factor b(a).
2*a*(a - 1)*(a + 4)/11
Let m(w) be the first derivative of -w**4/9 - 224*w**3/27 - 610*w**2/9 - 1000*w/9 - 8029. Factor m(k).
-4*(k + 1)*(k + 5)*(k + 50)/9
Let b(t) be the third derivative of -t**6/72 + t**5 - 30*t**4 - 61*t**3/6 - 5*t**2 + 7. Let x(s) be the first derivative of b(s). Factor x(d).
-5*(d - 12)**2
Let d(i) be the third derivative of -4/255*i**5 - 4/51*i**4 - 1/1020*i**6 + 0 + 0*i + 0*i**3 - 61*i**2. Factor d(p).
-2*p*(p + 4)**2/17
Let g(v) = 6*v**2 - 3*v - 21. Let j(k) = 3*k**2 - 1413 + 10*k**2 - 5*k + 1372. Let d(n) = 7*g(n) - 3*j(n). Factor d(s).
3*(s - 4)*(s + 2)
Let a = 53335 - 53332. Find j such that -8/5*j**a - 2/5*j**5 - 8/5*j**4 + 4/5*j**2 + 2*j + 4/5 = 0.
-2, -1, 1
Let u(w) be the first derivative of -1/6*w**2 + 1/18*w**3 + 0*w + 1/24*w**4 + 72. Factor u(k).
k*(k - 1)*(k + 2)/6
Determine y so that 0 - 20*y - 5*y**2 + 65/2*y**3 - 15/2*y**4 = 0.
-2/3, 0, 1, 4
Factor 16/7*f - 12 + 4/7*f**2.
4*(f - 3)*(f + 7)/7
Let o = 248 + -216. Find s such that 9*s**2 - o*s**4 + 10*s**3 - s**2 + 15*s**4 + 15*s**4 - 88*s + 96 = 0.
-3, 2, 4
Let s(w) be the second derivative of 190/3*w**3 + 76/15*w**6 + 148/5*w**5 - 2/7*w**7 + 11*w + 10 + 32*w**2 + 62*w**4. Let s(d) = 0. What is d?
-1, -1/3, 16
Let l(h) be the second derivative of 6 + 0*h**2 - 25/6*h**3 - 4*h - 5/12*h**4. Let l(d) = 0. What is d?
-5, 0
Factor 3024*o**2 - 29305*o + 323069*o - 3888*o**2 + 4*o**3 + 3032*o**2.
4*o*(o + 271)**2
Let p(i) = i**2 + 37*i + 74. Let o be p(-35). Find l such that -12*l**o + 3*l**5 - 247*l + 124*l + 123*l = 0.
0, 4
Suppose -2/5*r**5 + 28*r**4 + 0 + 144/5*r**2 + 0*r + 286/5*r**3 = 0. What is r?
-1, 0, 72
Factor -460*h**2 - 4/3*h**3 - 916*h - 1372/3.
-4*(h + 1)**2*(h + 343)/3
Let c(h) be the first derivative of 15*h**5 + 765*h**4 + 804*h**3 + 240*h**2 + 2178. Factor c(r).
3*r*(r + 40)*(5*r + 2)**2
Let -880/3 + 1328/3*n - 224*n**2 - 1/3*n**4 + 116/3*n**3 = 0. What is n?
2, 110
Let q(x) = -x**2 + 5*x + 39. Let y be q(9). Factor -5*r**5 + r**5 + 2*r**5 + 2*r**y.
-2*r**3*(r - 1)*(r + 1)
Let z(v) be the first derivative of 5/28*v**4 - 2/7*v**2 - 1/42*v**6 + 5/21*v**3 + 32 - 1/35*v**5 - 4/7*v. Find i such that z(i) = 0.
-2, -1, 1, 2
Let i(q) = 3*q**2 - 324*q - 2692. Let w(d) = 2*d**2 - 2*d + 2. Let a(j) = 5*i(j) - 30*w(j). What is n in a(n) = 0?
-52/3
Let s(m) be the first derivative of 1 - 1/2*m**4 + m**2 + 0*m - 2/9*m**3 + 2/15*m**5. Find i such that s(i) = 0.
-1, 0, 1, 3
Let f(a) be the first derivative of 38/3*a**2 - 8*a + 16/9*a**3 + 118 + 8/15*a**5 - 22/3*a**4 + 2/3*a**6. Let f(d) = 0. Calculate d.
-3, -1, 1/3, 1, 2
Let m(c) be the first derivative of -7/13*c**2 - 36 - 2/13*c**3 - 4/13*c. Factor m(u).
-2*(u + 2)*(3*u + 1)/13
Let u(a) be the third derivative of 17/120*a**5 + 0*a**3 - 60*a - 19/480*a**6 - 2*a**2 - 1/120*a**7 + 0 - 1/12*a**4. Suppose u(v) = 0. Calculate v.
-4, 0, 2/7, 1
Let r be (-3)/(((-30)/4)/5). Suppose -4*d + 8 = -r*d. Factor -3*o**2 + 10*o**4 - 9*o**4 + 2*o**d.
3*o**2*(o - 1)*(o + 1)
Let b(o) be the first derivative of -o**6/120 + 13*o**5/40 - 11*o**4/4 + 31*o**3 - 89. Let z(i) be the third derivative of b(i). Let z(m) = 0. Calculate m.
2, 11
Let s(d) be the third derivative of -d**5/450 - 11*d**4/90 - 8*d**3/3 - 1674*d**2. Let s(c) = 0. Calculate c.
-12, -10
Let b(w) be the first derivative of -4*w**3/3 + 1506*w**2 + 3016*w - 2977. Factor b(l).
-4*(l - 754)*(l + 1)
Suppose -72 = -3*g + 93. Factor 0*c**3 + g*c**2 + c**3 - 2*c - 54*c**2.
c*(c - 1)*(c + 2)
Let r = 3218 - 3214. Let y(n) be the third derivative of 22/15*n**6 + 0 + 0*n**3 + 0*n**r + 3*n**2 + 0*n - 4/15*n**5 - 242/105*n**7. Factor y(q).
-4*q**2*(11*q - 2)**2
Let z(c) be the first derivative of c**6/15 + 14*c**5/25 - 99*c**4/5 - 2668. Factor z(o).
2*o**3*(o - 11)*(o + 18)/5
Let t(s) be the second derivative of s**9/5544 - s**7/770 + s**5/220 + 20*s**3 - 280*s. Let m(b) be the second derivative of t(b). Solve m(j) = 0.
-1, 0, 1
Let g(r) = -2*r**3 + 11*r**2 + 10*r - 10. Let h be g(6). Determine y, given that -7*y + h*y - 4 + y**2 - 4 + 0*y = 0.
-8, 1
Solve 0 - 1/4*l**5 + l**2 + 0*l + 7/4*l**3 + 1/2*l**4 = 0.
-1, 0, 4
Let c(v) = 19*v**2 - 12*v - 5. Let o(r) = r**2 - 1. Let q = 180 + -185. Let u(i) = q*o(i) + c(i). Determine d, given that u(d) = 0.
0, 6/7
Let u(h) be the third derivative of -h**8/7840 - h**7/1960 + h**6/840 - 6*h**4 + 186*h**2. Let l(y) be the second derivative of u(y). Factor l(r).
-3*r*(r + 2)*(2*r - 1)/7
Let f(k) be the first derivative of 187 - 1/2*k**2 - 20*k + 1/3*k**3. Factor f(o).
(o - 5)*(o + 4)
Determine z, given that 1352/3*z - 4/3*z**2 + 452 = 0.
-1, 339
Let m(h) be the third derivative of h**5/180 + 29*h**4/9 + 230*h**3/9 + 1123*h**2. What is s in m(s) = 0?
-230, -2
Solve 3340*s - 128*s**2 + 2*s**5 + 38*s**3 + 26*s**3 + 52*s**2 - 20*s**4 - 3310*s = 0 for s.
0, 1, 3, 5
Let -5*t**2 - 8*t**2 + 5808 + 4*t**2 - 3*t**3 + 7*t**3 - 31*t**2 - 572*t = 0. What is t?
-12, 11
Let v(l) be the first derivative of -18*l**5/5 + 7*l**4/2 + 22*l**3/3 - 7*l**2 - 4*l + 1549. Determine g, given that v(g) = 0.
-1, -2/9, 1
Let f(t) = 1362*t + 16344. Let g be f(-12). Let -1/5*p**5 - 1/5*p**2 - 3/5*p**4 + 0 + g*p - 3/5*p**3 = 0. Calculate p.
-1, 0
Let p(n) be the second derivative of -n**8/2800 + n**7/1400 - 3*n**3/2 - 107*n. Let k(c) be the second derivative of p(c). Factor k(s).
-3*s**3*(s - 1)/5
Let h(x) = x**2 + 88*x + 847. Let p be h(-77). Let a(s) be the first derivative of -5/4*s**4 - 9 + p*s + 0*s**2 + s**5 + 0*s**3. Factor a(b).
5*b**3*(b - 1)
Let u(m) be the first derivative of 4489*m**4 + 126764*m**3/3 + 3760*m**2 + 112*m + 2398. Factor u(d).
4*(d + 7)*(67*d + 2)**2
Let a(p) = p**2 - 19*p + 78. Let o be a(21). Factor -123*z**2 + 247*z**2 - o*z**2 - 40*z - 44.
4*(z - 11)*(z + 1)
Let k(d) = 3*d**2 + 2 - 15*d**3 - 2*d + 14*d**3 + 0*d. Let u be k(2). What is l in -186 + 50*l + 61 - 2*l**u - 3*l**2 = 0?
5
Suppose 4*p = o + 13, -26*o - 3*p = -27*o - 9. Let k be -12 + 2763/207 + -2 + 1. Factor k*n**o - 2/23*n**4 + 0*n - 8/23*n**2 + 0.
-2*n**2*(n - 2)**2/23
Let w(m) be the third derivative of -m**7/1470 + m**6/210 + m**5/420 - 2*m**4/21 + 2*m**3/7 + 139*m**2 + 2*m. What is k in w(k) = 0?
-2, 1, 2, 3
Factor -1871*d + 1290*d**3 - 5409*d + 438*d**2 + 427*d**2 - 1320*d**3 + 14365.
-5*(d - 13)**2*(6*d - 17)
Let k(a) be the thir