2 + 171*o. Factor u(n).
(n - 5)*(n - 2)**2*(n + 1)/4
Let y(o) be the third derivative of 0*o - 9/10*o**5 + 3*o**2 - 3/40*o**6 + 0*o**3 + 1/70*o**7 + 0*o**4 - 15. Factor y(n).
3*n**2*(n - 6)*(n + 3)
Determine i so that 6*i**4 - 16*i**3 - 35/6*i**2 + 0 - 1/2*i = 0.
-1/6, 0, 3
Let z(d) be the first derivative of d**6 - 20*d**5/7 - 9*d**4/14 + 116*d**3/21 - 12*d**2/7 - 16*d/7 + 1290. Determine o, given that z(o) = 0.
-1, -2/7, 2/3, 1, 2
Suppose 15 = -7*c + 4*c, 4*c = -2*j - 24. Let q be j/13 + (-268)/(-52) + -2. Let 15*b**3 - b + 20*b**2 - 14*b - 19*b**q - b = 0. Calculate b.
0, 1, 4
Let t(k) be the second derivative of -k**4/96 - 187*k**3/24 - 373*k**2/16 + 416*k. Let t(f) = 0. Calculate f.
-373, -1
Let z(k) = 22*k**3 - 460*k**2 + 2492*k + 98. Let j(m) = -8*m**3 + 153*m**2 - 830*m - 35. Let d(a) = -14*j(a) - 5*z(a). Suppose d(w) = 0. Calculate w.
-84, 0, 5
Let w(h) be the first derivative of -h**6/10 - 3*h**5/5 + 8*h**3 + 24*h**2 + 265*h - 14. Let a(t) be the first derivative of w(t). Factor a(x).
-3*(x - 2)*(x + 2)**3
Let j(t) be the third derivative of 1/40*t**5 + 0*t + 0*t**3 + 1/12*t**4 - 2 - 1/240*t**6 - 19*t**2. Factor j(v).
-v*(v - 4)*(v + 1)/2
Let r(l) be the third derivative of 0*l**3 + 0*l + 1/180*l**6 + 0*l**5 - 7*l**2 + 0 + 0*l**4 + 1/210*l**7 + 1/1008*l**8. Factor r(u).
u**3*(u + 1)*(u + 2)/3
Let s(l) = l**2 - 3*l - 9. Let m be s(5). Let r be ((-105)/(-25))/m - (4 - 0). Factor 0 + 1/5*q + r*q**2.
q*(q + 1)/5
Let a(w) = -2*w**3 + 18*w**2 + 15*w + 52. Let r be a(10). Suppose -4*c - 3 = -43. Factor 1 + c*o**2 + 5 - r*o**2 - 17*o**3 + 13*o + 18*o**3.
(o + 1)**2*(o + 6)
Let c = -1 + -8. Let f be 7 + (c/4 - (-1)/4). Find h such that 16*h**2 + 3*h**f - 8*h**4 - 11*h**3 - 3*h - h + 12*h**5 - 8*h**4 = 0.
-1, 0, 2/5, 2/3, 1
Let 315 + 640 + 2*a**2 - 96*a + 197 = 0. Calculate a.
24
Let z(q) be the first derivative of 84/5*q + 1/5*q**2 - 2/15*q**3 + 165. Factor z(t).
-2*(t - 7)*(t + 6)/5
Suppose 8*m - 9 = 15. Factor -5*k**4 + 27*k**3 + 3*k**4 - 48*k**3 + 19*k**m.
-2*k**3*(k + 1)
Let d be (6/(-5))/((-62)/20 - -3). Let w be d/(0 - (-3)/36). Factor 17*q + w + 4*q**2 + 31*q + 0*q**2.
4*(q + 6)**2
Let u(z) be the third derivative of z**6/300 + z**5/15 + 29*z**4/60 + 4*z**3/3 - 1593*z**2. Find x, given that u(x) = 0.
-5, -4, -1
Determine p, given that -4 + 9*p**3 + 141*p**3 - 13*p**5 + 18*p**5 + 4 + 85*p**4 = 0.
-15, -2, 0
Let r(c) be the second derivative of 1/3*c**4 - c + 56/3*c**3 + 54*c**2 + 48. Determine n, given that r(n) = 0.
-27, -1
Factor -66*l**3 + 186*l**3 - 1295*l + 1369 - 121*l**3 - 73*l**2.
-(l - 1)*(l + 37)**2
Let a(m) be the second derivative of -2/15*m**6 + 0 + 62*m + 0*m**3 + 0*m**2 + 2/3*m**4 - 1/5*m**5. Find i, given that a(i) = 0.
-2, 0, 1
Let b(w) be the first derivative of -w**5/5 - 5*w**4/3 + 26*w**3/3 - 14*w**2 - 7*w - 91. Let t(q) be the first derivative of b(q). Factor t(l).
-4*(l - 1)**2*(l + 7)
Let i(q) be the third derivative of -q**6/840 - 71*q**5/210 - 281*q**4/168 - 10*q**3/3 - 4044*q**2. Factor i(l).
-(l + 1)**2*(l + 140)/7
Let v(m) be the third derivative of m**5/12 + 5*m**4/4 + 25*m**3/6 + 261*m**2. Factor v(d).
5*(d + 1)*(d + 5)
Let b(m) be the third derivative of -m**7/210 - 19*m**6/30 - 181*m**5/30 - 125*m**4/6 - 71*m**3/2 - 845*m**2 + 4*m. Solve b(z) = 0.
-71, -3, -1
Let 558*u**3 - 24*u**2 - 356*u**3 + 4363*u**4 - 1974*u**3 + 217*u**4 = 0. Calculate u.
-3/229, 0, 2/5
Let q(j) be the second derivative of 0*j**2 + 1/200*j**5 + 0*j**3 - 1/300*j**6 + 26*j - 1 + 1/20*j**4. Factor q(b).
-b**2*(b - 3)*(b + 2)/10
Let t(v) be the first derivative of -v**5 - 105*v**4/4 - 620*v**3/3 - 690*v**2 - 1040*v - 219. Factor t(l).
-5*(l + 2)**2*(l + 4)*(l + 13)
Let k(z) be the second derivative of 2*z**7/21 + 2*z**6/15 - 41*z**5/5 - z**4/3 + 880*z**3/3 - 800*z**2 - z - 112. Suppose k(b) = 0. Calculate b.
-5, 1, 4
Factor -3072/5*q + 208/5*q**2 + 9216/5 - 4/5*q**3.
-4*(q - 24)**2*(q - 4)/5
Let q(y) be the third derivative of y**7/630 - y**6/40 - 49*y**5/180 - 13*y**4/24 + 15*y**2 - 52*y. Factor q(n).
n*(n - 13)*(n + 1)*(n + 3)/3
Let o(g) be the second derivative of -2*g**2 + 1/15*g**6 - 3/10*g**5 + g**3 + 3*g + 1/6*g**4 - 4. Factor o(r).
2*(r - 2)*(r - 1)**2*(r + 1)
Let o(r) = -1357*r - 9499. Let v be o(-7). Let z(a) be the second derivative of 0 + v*a**2 + 21*a - 1/6*a**4 - a**3. Factor z(q).
-2*q*(q + 3)
Let p(b) be the first derivative of -51 + 6/5*b**5 - 1/2*b**6 + 3/2*b**2 - 2*b**3 + 0*b**4 + 0*b. Factor p(d).
-3*d*(d - 1)**3*(d + 1)
Let q(r) be the second derivative of r**5/6 + 31*r**4/6 + 8*r**3 + 9*r**2/2 + 18*r + 2. Let i(l) be the first derivative of q(l). What is v in i(v) = 0?
-12, -2/5
Factor 87*s - 15/2 - 159/2*s**2.
-3*(s - 1)*(53*s - 5)/2
Let z = -13 - -16. Suppose -4 = 5*h - 6*h + j, z*h + 2*j - 2 = 0. Determine x, given that -19*x + 35*x**h - 32 - 48 - 7*x - 5*x**3 - 14*x = 0.
-1, 4
Suppose 48 = 4*f + 4*f. Let c be (68/51)/(f/9). Solve 5/7*l + 1/7*l**5 + 8/7*l**4 + 0 + 18/7*l**3 + 16/7*l**c = 0 for l.
-5, -1, 0
Let p = -1810 + 54301/30. Let h(q) be the third derivative of 15*q**2 - 1/60*q**6 + 0 - p*q**5 + 1/12*q**4 + 0*q + 1/105*q**7 + 0*q**3. Factor h(c).
2*c*(c - 1)**2*(c + 1)
Let u(w) = 11*w - 52. Let y be u(5). Factor -261*f**4 - 12*f + 118*f**4 + 4*f**3 - 56*f**2 + 111*f**4 - 80*f**y.
-4*f*(f + 1)**2*(8*f + 3)
Let y(d) be the second derivative of 13*d**2 + 2*d - 1/2*d**4 + 38/3*d**3 + 19. Factor y(o).
-2*(o - 13)*(3*o + 1)
Let p be 3 - ((-1)/((-14)/77))/2. Let y(g) be the second derivative of -g**3 + 19*g - p*g**4 + 0*g**2 + 0. Factor y(z).
-3*z*(z + 2)
Factor 4/5*q**3 - 116/5*q - 84 + 4*q**2.
4*(q - 5)*(q + 3)*(q + 7)/5
Let w be 1/24*(-184)/(-1610). Let o(z) be the third derivative of 0 - w*z**5 - 7*z**2 + 0*z + 1/420*z**6 - 1/84*z**4 + 1/21*z**3. Factor o(a).
2*(a - 1)**2*(a + 1)/7
Let w(d) be the second derivative of -d**7/336 + 11*d**6/120 + 49*d**5/160 - 11*d**4/48 - d**3 + 3445*d + 2. Solve w(s) = 0.
-2, -1, 0, 1, 24
Let u(c) be the second derivative of -c**7/84 - 13*c**6/60 - 33*c**5/40 + 61*c**4/24 + 17*c**3/6 - 12*c**2 + 5501*c. Let u(g) = 0. Calculate g.
-8, -6, -1, 1
Let z(j) = -j**3 + 20*j**2 - 17*j - 45. Let r be z(19). Let a be (-2)/(r - (-24)/4). Factor 2/9 - a*k**3 - 14/9*k + 10/3*k**2.
-2*(k - 1)*(3*k - 1)**2/9
Let z(s) be the first derivative of s**3/3 - s**2/2 + 11. Let r be z(2). Let -1 + 5*t**2 - 6*t - r*t**2 - 6 - 2 = 0. Calculate t.
-1, 3
Let i be 25/((-2700)/(-8))*18. Let v(p) be the first derivative of 8*p + i*p**3 - 6*p**2 + 7. Factor v(b).
4*(b - 2)*(b - 1)
Factor -96*p**2 + 376*p + 2/3*p**3 - 1120/3.
2*(p - 140)*(p - 2)**2/3
Let q(n) = -2*n**3 + 14*n**2 - 9*n - 14. Let z be q(6). What is i in -3*i + 4*i**2 + 12*i**2 + 11*i - z*i**2 - 4 = 0?
-1, 1/3
Let u(c) be the first derivative of c**5/15 + 79*c**4/3 + 12482*c**3/3 + 67*c**2 - 144. Let l(d) be the second derivative of u(d). Determine y so that l(y) = 0.
-79
Let v(c) be the second derivative of 0*c**2 + 1/6*c**6 + 0*c**4 + 0*c**3 + 3/16*c**5 + 0 + 5/168*c**7 + 61*c. Factor v(u).
5*u**3*(u + 1)*(u + 3)/4
Let g(y) = 9*y**2 - 841*y - 273. Let u(v) = 26*v**2 - 2518*v - 820. Let w(o) = 8*g(o) - 3*u(o). What is n in w(n) = 0?
-1/3, 138
Suppose 8 = 5*k - k. Let w(d) = 20*d**2 + 8*d - 9. Let h be w(k). Factor 5*q**2 - 66*q + 320 + h*q - 101*q.
5*(q - 8)**2
Let m(o) be the first derivative of -2*o**4/3 + 26*o**3/3 + 14*o**2 + 120*o + 160. Let a(b) be the first derivative of m(b). Determine y, given that a(y) = 0.
-1/2, 7
Let t(d) be the second derivative of d**5/30 - 55*d**4/54 + 38*d**3/9 - 32*d**2/9 - 4*d - 39. Factor t(p).
2*(p - 16)*(p - 2)*(3*p - 1)/9
Let k(m) be the second derivative of -3/2*m**2 + 1/36*m**4 + 124*m + 4/9*m**3 + 0. Let k(v) = 0. What is v?
-9, 1
Let t(u) be the second derivative of -u**6/135 + 74*u**5/45 - 290*u**4/27 + 64*u**3/3 + 709*u. Factor t(n).
-2*n*(n - 144)*(n - 2)**2/9
What is w in 16*w - 608*w**3 + 578*w**3 + 18*w**2 + w**4 - 5*w**4 = 0?
-8, -1/2, 0, 1
Let x(f) = -9*f**3 - 15*f**2 - 60*f. Let j(w) = -w**3 + 2*w**2 - w. Let u(v) = -6*j(v) + x(v). Factor u(i).
-3*i*(i + 3)*(i + 6)
Let x(d) = 10*d**2 - 12*d + 36. Let r(n) = 8*n**2 - 13*n + 35. Let t = 176 - 250. Let q = -70 - t. Let o(v) = q*r(v) - 3*x(v). Factor o(y).
2*(y - 4)**2
Let w(c) be the third derivative of -1/70*c**7 + 0*c + 67*c**2 - 36/5*c**5