+ u*s - 12/5.
3*(s - 2)*(s + 2)/5
Let o(f) be the second derivative of 2*f**6/3 + 55*f**5 + 15665*f**4/12 + 2475*f**3 + 3645*f**2/2 + 1290*f. Factor o(k).
5*(k + 27)**2*(2*k + 1)**2
Let m(d) be the third derivative of 0*d - 1/40*d**6 + 0 + 61*d**2 - 35/8*d**4 + 11/20*d**5 + 25/2*d**3. Suppose m(v) = 0. What is v?
1, 5
Solve -1/3*u**2 + 60*u - 179/3 = 0.
1, 179
Let d(u) be the first derivative of u**5 + 55*u**4/2 + 295*u**3 + 1540*u**2 + 3920*u - 921. Let d(b) = 0. Calculate b.
-7, -4
Let m(u) be the first derivative of 36*u - 56*u**2 + 4/5*u**5 + 40*u**3 - 12*u**4 - 24. Factor m(z).
4*(z - 9)*(z - 1)**3
Solve -3618*d + 51*d**3 + 115*d**4 + 264*d**3 + 13*d**5 + 3718*d + 305*d**2 - 8*d**5 = 0 for d.
-20, -1, 0
Let a(q) be the first derivative of -75/2*q**2 - 5/3*q**3 + 62 - 130*q. Find y such that a(y) = 0.
-13, -2
Factor -128/3*g + 2/9*g**3 + 0 + 32/9*g**2.
2*g*(g - 8)*(g + 24)/9
Let s be -1 + 13/((-1456)/(-126)). Let c(i) be the second derivative of 0 + 12*i**2 + 9/20*i**5 + 1/20*i**6 + s*i**4 + 26*i - 6*i**3. Find f such that c(f) = 0.
-4, 1
Let o = 1663 + -1643. Suppose -4*q = -11*t + 6*t - 25, 4*q - 4*t = o. Factor 2/9*h**5 - 4/3*h**3 + q - 16/9*h**2 + 0*h**4 - 2/3*h.
2*h*(h - 3)*(h + 1)**3/9
Let q(o) be the first derivative of -o**6/24 + 3*o**5/20 + 23*o**4/16 - 9*o**3/4 - 11*o**2/4 + 6*o + 5024. Determine z so that q(z) = 0.
-4, -1, 1, 6
Let w = 64/685 + 13508/2055. Find v such that -60*v**2 + 16 - 64/3*v + 44/3*v**3 + 44*v**4 + w*v**5 = 0.
-6, -1, 2/5, 1
Find w such that 2*w**2 + 201*w - 505*w + 574*w + 532 = 0.
-133, -2
Solve 0*t - 7*t**3 + 23/7*t**4 + 0 + 1/7*t**5 + 25/7*t**2 = 0.
-25, 0, 1
Let 27/2*r - 3/8*r**2 + 351/8 = 0. What is r?
-3, 39
Let o be 2 + (962/(-39) - -23). Factor 1/6*i + 1/6*i**2 - o.
(i - 1)*(i + 2)/6
Let o(a) = -2*a**2 + 21*a + 6. Let r(i) = -3*i**2 + 22*i + 7. Let f(p) = 4*o(p) - 3*r(p). Let j be f(-18). What is g in -j + 6*g + 3/4*g**3 - 15/4*g**2 = 0?
1, 2
Let l(i) = 38*i**2 - 5357*i - 11130. Let r(j) = -7*j**2 + 1075*j + 2226. Let d(k) = 2*l(k) + 11*r(k). Factor d(a).
-(a - 1113)*(a + 2)
Factor 135/4 + 63/8*v + 3/8*v**2.
3*(v + 6)*(v + 15)/8
Factor -59431 - 41*t - 34*t - 5*t**4 + 59431 + 65*t**2 + 15*t**3.
-5*t*(t - 5)*(t - 1)*(t + 3)
Let d(b) be the third derivative of -b**6/360 - 17*b**5/60 + 3*b**4 - 110*b**3/9 - 204*b**2 - 2*b. Let d(c) = 0. What is c?
-55, 2
Suppose 2 - 2/9*h**3 + 2*h - 2/9*h**2 = 0. Calculate h.
-3, -1, 3
Suppose 64*b + 800 = 69*b. Let v = -1756/11 + b. Factor v*w - 6/11 + 2/11*w**2.
2*(w - 1)*(w + 3)/11
Let z(k) be the third derivative of -k**11/1995840 + k**9/362880 - 37*k**5/15 + 83*k**2. Let y(x) be the third derivative of z(x). Factor y(u).
-u**3*(u - 1)*(u + 1)/6
Suppose 38*l - 29/3*l**2 + 1/3*l**3 + 48 = 0. Calculate l.
-1, 6, 24
Suppose -110*v + 85*v - 15 + 65 = 0. Let u(g) be the first derivative of -8/3*g**3 - 6*g + 13/2*g**v + 1/4*g**4 + 6. Factor u(m).
(m - 6)*(m - 1)**2
Let t = 82653/2 - 413229/10. Factor 0*r + t*r**2 - 3/5*r**3 + 0.
-3*r**2*(r - 6)/5
Solve -2/5*j**3 + 0 - 72*j + 58/5*j**2 = 0 for j.
0, 9, 20
Determine k, given that 85*k**2 + 44881*k**3 - 28*k - 4*k**4 - k**5 - 44968*k**3 + 35*k**4 = 0.
0, 1, 28
Factor 888/7*j**4 - 131424/7*j**3 + 6483584/7*j**2 + 0*j - 2/7*j**5 + 0.
-2*j**2*(j - 148)**3/7
Let t(d) be the second derivative of 0 - 1/54*d**4 + 10/27*d**3 + 27*d + 0*d**2. Factor t(k).
-2*k*(k - 10)/9
Let p(q) be the first derivative of -q**4/18 + 62*q**3/9 + 136*q**2 + 840*q - 1715. Factor p(y).
-2*(y - 105)*(y + 6)**2/9
Let z(o) be the first derivative of o**6/480 - 3*o**5/40 + 5*o**4/8 - 2*o**3/3 - 4*o + 25. Let w(y) be the third derivative of z(y). Factor w(s).
3*(s - 10)*(s - 2)/4
Let g be -5*(-2829)/(-805) + 18. Determine w, given that -6/7*w**2 + g*w**3 + 18/7 - 15/7*w = 0.
-2, 1, 3
Suppose -263*v - 99 + 3014*v - 5415 - 151*v**2 - 10*v**2 + 164*v**2 = 0. Calculate v.
-919, 2
Let g(x) = x**4 - x**3 - x**2. Let o(l) = -250*l - 165*l**3 - l**4 - 1 + 470*l**2 + 1 + 21*l**4. Let j(t) = -5*g(t) + o(t). What is a in j(a) = 0?
0, 2/3, 5
Let v(g) be the second derivative of 0*g**2 - 1/80*g**5 - 3 - 19/48*g**4 + 0*g**3 - 5*g. Determine n, given that v(n) = 0.
-19, 0
Let p(t) be the first derivative of -2*t**3/3 + 3202*t**2 - 5126402*t - 306. Factor p(j).
-2*(j - 1601)**2
Let q(u) be the second derivative of -u**4/60 + 23*u**3/30 + 259*u**2/5 + 7*u + 252. Factor q(c).
-(c - 37)*(c + 14)/5
Suppose -3*c + 38 = -5*g, 2*c - c = 3*g + 18. Suppose 0 = 2*i + c*i - 32. Factor -2/5*v**2 + 2/5*v**i - 2/5*v + 2/5*v**3 + 0.
2*v*(v - 1)*(v + 1)**2/5
Let p(s) be the second derivative of s**6/6 + 452*s**5 + 510760*s**4 + 923454080*s**3/3 + 104350311040*s**2 - 13*s + 8. Determine a so that p(a) = 0.
-452
Let n(z) = -7*z - 145. Let y be n(-21). Suppose 2*t = -y*t + 3*s - 6, -4*s + 8 = 0. Factor t*k**3 + 0 + 4/5*k**5 - 12/5*k**4 + 0*k + 16/5*k**2.
4*k**2*(k - 2)**2*(k + 1)/5
Let r(j) be the second derivative of j**5/5 + 2*j**4/3 - 448*j**3/3 + 2304*j**2 - j + 134. Factor r(w).
4*(w - 8)**2*(w + 18)
Find x, given that 9*x**2 + 473*x + 507*x + 647*x - 282 - 1210*x = 0.
-47, 2/3
Let a(o) = 13*o**2 + 54*o + 12. Let u(z) = -4*z**2 + 3*z - 3. Let g(b) = -a(b) - 4*u(b). Factor g(h).
3*h*(h - 22)
Factor 455/4 + 15/2*t - 5/4*t**2.
-5*(t - 13)*(t + 7)/4
Let q be -5 + 35/(7 - 0). Suppose q = 3*g + 5*h - 4, 5*g - g - 7 = -5*h. Factor -k**2 + 1/2*k**g + 4 - 2*k.
(k - 2)**2*(k + 2)/2
Suppose -22*j + 529 + 153 = 0. Solve 0*p**3 - 14*p**3 + 0*p**4 + 14*p**2 + 4*p**4 - j*p + 27*p = 0.
0, 1/2, 1, 2
Suppose 36/11*j**2 - 2/11*j**4 + 0*j**3 - 64/11*j + 30/11 = 0. Calculate j.
-5, 1, 3
Let v(g) = 8*g**3 - 58*g**2 - 36*g + 10. Let o(a) = -a**3 - 2*a - 1. Let d(r) = -10*o(r) - v(r). Factor d(n).
2*n*(n + 1)*(n + 28)
Let n = -1080941/42 - -25737. Let y(f) be the second derivative of 1/105*f**6 + 0 + 20/7*f**3 - 1/7*f**5 + n*f**4 + 36/7*f**2 + 18*f. Factor y(w).
2*(w - 6)**2*(w + 1)**2/7
Let x = -2/40777 + 163114/122331. Find z such that -8/3 - 1/3*z**4 + 10/3*z - x*z**3 + z**2 = 0.
-4, -2, 1
Let d(y) be the first derivative of -47*y**3 - 2673*y**2/2 + 114*y - 3039. Factor d(w).
-3*(w + 19)*(47*w - 2)
Let q(h) = h**3 + 16*h**2 - 5*h + 4. Let y be q(0). Let m(p) be the first derivative of 80/3*p**3 + y*p**4 - 23 + 34*p**2 + 16*p. Factor m(f).
4*(f + 4)*(2*f + 1)**2
Let v(b) = 10*b**4 - 120*b**3 + 220*b**2 - 100*b - 5. Let j(s) = -15*s**4 + 180*s**3 - 331*s**2 + 150*s + 8. Let y(z) = 5*j(z) + 8*v(z). Factor y(a).
5*a*(a - 10)*(a - 1)**2
Let l(c) = 7*c**4 - 431*c**3 - 3590*c**2 - 5859*c - 2752. Let p(v) = 4*v**4 - 215*v**3 - 1795*v**2 - 2929*v - 1380. Let b(u) = -3*l(u) + 5*p(u). Factor b(n).
-(n - 226)*(n + 1)**2*(n + 6)
Let w(c) be the second derivative of 0 - 78*c + 240*c**3 + 3/20*c**5 + 1728*c**2 - 23/2*c**4. Suppose w(x) = 0. What is x?
-2, 24
Let v(j) be the second derivative of -5/12*j**4 - 2 - 65*j + 1/40*j**5 + 49*j**2 - 7/12*j**3. Suppose v(n) = 0. What is n?
-4, 7
Let -135*l**4 - 321*l**3 + 80 - 2147*l**2 + 25*l**5 + 30*l + 1782*l**2 - 154*l**3 = 0. Calculate l.
-1, 2/5, 8
Let f(d) be the third derivative of -2*d**2 + 0*d**4 - 17 + 1/35*d**7 + 1/20*d**6 + 0*d + 0*d**5 + 1/224*d**8 + 0*d**3. Factor f(b).
3*b**3*(b + 2)**2/2
Let z = 29355 - 29351. Let c(f) be the first derivative of 13/3*f**3 - 3/8*f**z + 16*f - 16*f**2 - 27. Factor c(x).
-(x - 4)**2*(3*x - 2)/2
Let c(y) be the first derivative of 4*y**5/35 + 81*y**4/7 + 2804*y**3/7 + 33718*y**2/7 - 76176*y/7 + 14337. Let c(q) = 0. What is q?
-36, -23, 1
Suppose 771/2*h + 2*h**2 - 193/2 = 0. What is h?
-193, 1/4
Let v(f) = 19*f + 210. Let a be v(-11). Determine g so that -2 + 628*g**3 - 70*g + a - 9 - 47*g**2 - 621*g**3 - 6 = 0.
-1, -2/7, 8
Factor 4/13*u**4 + 0*u + 2/13*u**5 + 0 - 16/13*u**2 - 8/13*u**3.
2*u**2*(u - 2)*(u + 2)**2/13
Let k = 890 - 893. Let l be k/4*-5*3/45. Factor l*j + 1/4*j**3 + 1/2*j**2 + 0.
j*(j + 1)**2/4
Let d = 12617 + -12617. Let n(f) be the first derivative of d*f + 2*f**3 - 16 + 5/2*f**4 + 2/5*f**5 - 9*f**2. Factor n(g).
2*g*(g - 1)*(g + 3)**2
Let c be 35 + 24991/(-335) + 40. Let y = -6 - -8. Solve 1/5*q**y + 3/5*q + c = 0 for q.
-2, -1
Let f(b) be the first derivative of 2/9*b**2 + 1/18*b**4 - 5/27*b**3 - 5*b + 22. Let u(r) be the first derivative of f(r). Factor u(m).
2*(m - 1)*(3*m - 2)/9
Let m(c) be the second derivative