**2 - 29*a - 63*a**2 - 7. Let s be h(-7). Let 2/9*z - 4/9*z**2 + s + 2/9*z**3 = 0. What is z?
0, 1
Let n(i) = 12*i + 219. Let s = -649 - -631. Let t be n(s). Factor 0 + 5/4*v**t - 5/4*v**2 + 5/4*v**4 - 5/4*v.
5*v*(v - 1)*(v + 1)**2/4
Let g be (5 + 148)/(54 + -62) + 24. Factor -g*v - 45/4 - 3/8*v**2.
-3*(v + 3)*(v + 10)/8
Suppose 3*r = -9*r + 24. Let -40*s - 2*s**3 - 11*s - 3*s - 49 - 18*s**r - 5 = 0. Calculate s.
-3
Let c(x) be the second derivative of 2*x + 3/5*x**5 + 0*x**3 - 2/15*x**6 + 0*x**2 - 2/3*x**4 - 21. Factor c(m).
-4*m**2*(m - 2)*(m - 1)
Let y = -420 + 423. Let n(f) = f**2 - f + 1. Let k(t) = -5*t**2 + 73*t + 69. Let j(d) = y*n(d) + k(d). Factor j(c).
-2*(c - 36)*(c + 1)
Factor 718/3*j + 1444/3 - 2/3*j**2.
-2*(j - 361)*(j + 2)/3
Let l(n) = n**3 + 53*n**2 + 52*n - 6. Let b(m) = -4*m**3 - 211*m**2 - 207*m + 27. Let d(p) = -4*b(p) - 18*l(p). Suppose d(u) = 0. What is u?
-54, -1, 0
Let w(u) be the first derivative of 7/55*u**5 + 1/66*u**6 + 2/3*u**3 + 9/22*u**4 + 4 + 13/22*u**2 + 3/11*u. Solve w(s) = 0 for s.
-3, -1
Let i be -3 + (-18)/(-8) + 1. Suppose 9 = -3*p, b - 177*p + 181*p = -9. Solve -1/4 + i*n**b - 3/4*n**2 + 3/4*n = 0 for n.
1
Let a(o) = o**3 + 9*o**2 - 4*o + 6. Let f(s) = -s**3 - 17*s**2 + 8*s - 10. Let i(n) = 5*a(n) + 3*f(n). Factor i(d).
2*d*(d - 2)*(d - 1)
Let j be (173460/(-18172) - 12/(-22)) + 13. Solve 4/5*r**3 - 12/5*r**2 + 12/5*r**j + 0*r + 0 - 4/5*r**5 = 0 for r.
-1, 0, 1, 3
Let h(t) = 3*t - 3. Let y be h(11). Suppose 5*o = -10 + y. Find u such that 9*u**3 + 89 - o*u**3 - 68 - 341 - 85*u**2 + 400*u = 0.
1, 8
Let j be (-270)/8 - 15/12. Let g be ((-1)/j*7)/(1/12). Find a such that -g*a + 18/5*a**2 + 0 = 0.
0, 2/3
Let m = 3/445 - -3468/445. Suppose 22 = 9*p - 14. What is i in 0 - m*i**3 + 0*i + 9/5*i**2 + 12/5*i**p = 0?
0, 1/4, 3
Let d(y) be the first derivative of 2*y**5/25 - 3*y**4/10 - 62*y**3/5 - 41*y**2 + 120*y - 2050. What is p in d(p) = 0?
-5, 1, 12
Let t(i) be the second derivative of 0 + 5/3*i**4 + 46*i + 0*i**2 - 2/3*i**6 + 5/42*i**7 + 3/4*i**5 - 10/3*i**3. Suppose t(v) = 0. Calculate v.
-1, 0, 1, 2
Let n be (-2076)/(-546) + 5620/7306. Determine c, given that 4 - n*c + 4/7*c**2 = 0.
1, 7
Factor -434/3*u + 47089/3 + 1/3*u**2.
(u - 217)**2/3
Let u = -1564684 + 1564686. Factor -64/7*s**u + 0*s - 1/7*s**4 - 16/7*s**3 + 0.
-s**2*(s + 8)**2/7
Let l(z) be the second derivative of -z**5/40 - 67*z**4/72 - 91*z**3/18 + 38*z**2/3 - 4795*z. Factor l(h).
-(h + 4)*(h + 19)*(3*h - 2)/6
Let 357265 + 3*i**2 - 218859 + 0*i**2 + 701117 + 3174*i = 0. Calculate i.
-529
Let d = -14117/4 - -3530. Factor 3/4*c**4 - 3/4*c + 3/4*c**3 - d*c**2 + 0.
3*c*(c - 1)*(c + 1)**2/4
Factor 1254*s + 1061*s + 3*s**2 + 12662 - 1805*s + 9013.
3*(s + 85)**2
Factor 1/4*w**3 + 10302*w - 405/4*w**2 - 10201.
(w - 202)**2*(w - 1)/4
Let w(l) = -l**4 - 7*l**3 - 6*l**2 - 3*l. Let z(c) = 126*c**3 + 18*c**2 + 2*c**4 - 235*c**3 + 8*c + 129*c**3. Let j(x) = 8*w(x) + 3*z(x). Factor j(g).
-2*g**2*(g - 3)*(g + 1)
Let z(l) be the first derivative of l**6/540 + l**5/90 - l**4/12 + 26*l**3/3 - 71. Let c(i) be the third derivative of z(i). Factor c(j).
2*(j - 1)*(j + 3)/3
Let x = 322 + -306. Suppose -23*j + x*j + 21 = 0. What is n in -6 + 9/2*n**2 - 3/2*n**j + 0*n = 0?
-1, 2
Let v(l) = 133*l - 665. Let k be v(5). Let d(j) be the first derivative of -5/4*j**4 + k*j + 16 - 10/3*j**3 + 0*j**2. Factor d(h).
-5*h**2*(h + 2)
Let b(l) be the third derivative of 7/6*l**6 + 0*l**4 - 22/105*l**7 + 27*l**2 + 0*l + 1/84*l**8 + 0*l**3 - 5/3*l**5 - 1. Factor b(j).
4*j**2*(j - 5)**2*(j - 1)
Let t(z) be the third derivative of -1/10*z**5 - 60*z**2 + 0*z**4 + 0 + 7/40*z**6 - 1/16*z**8 + 0*z + 1/35*z**7 + 0*z**3. Find s, given that t(s) = 0.
-1, 0, 2/7, 1
Let v(l) be the second derivative of -115*l**4/12 + 2755*l**3/6 + 60*l**2 + 4539*l. Factor v(k).
-5*(k - 24)*(23*k + 1)
Determine v, given that -1080/13 + 1088/13*v + 262/13*v**2 + 2/13*v**4 - 272/13*v**3 = 0.
-2, 1, 2, 135
Let z(p) be the second derivative of 0*p**2 + 39*p + 0*p**4 + 0 + 1/105*p**7 - 1/15*p**6 + 0*p**3 + 3/25*p**5. Factor z(u).
2*u**3*(u - 3)*(u - 2)/5
Let d = -481 - -494. Determine m, given that 48 - d*m - 4*m - 12 + 63859*m**2 - 63857*m**2 - m = 0.
3, 6
Suppose 48 = 100*w - 101*w + 5*f, 2*w + 16 = 2*f. What is t in -34/3*t**3 + 0 + 8/3*t**4 + 32/3*t**w - 2*t = 0?
0, 1/4, 1, 3
Let d(z) = z**4 - 9*z**3 - 6*z**2 + 4*z - 4. Let i(y) = -7*y**2 + 7 - 60*y + 63*y - 10 + 2*y**4 - 8*y**3. Let a(q) = 3*d(q) - 4*i(q). Factor a(t).
-5*t**2*(t - 2)*(t + 1)
Let n(d) = 3*d**3 + d. Let x = 157 - 155. Let u(o) = -39*o**3 - 1810*o**2 - 18398*o - 4000. Let i(v) = x*n(v) - u(v). Solve i(c) = 0 for c.
-20, -2/9
Find q, given that -780 - 38*q + 25*q + 2*q**2 + 155*q - 24*q = 0.
-65, 6
Let w = -60673/3 + 20626. Let o = w + -401. Let -64/3 + 64/3*g + 4*g**2 - o*g**4 - 10/3*g**3 = 0. What is g?
-4, 1, 2
Suppose 0 = -5*v + 7*v - 4. Determine h, given that 0*h**2 - 145*h**4 + 147*h**4 + 2*h**5 - 2*h**v - 2*h**3 = 0.
-1, 0, 1
Let o be (-1 - 8) + (-86 - -53). Let f be o/(-49) - 3/(42/2). Factor 4/7 + f*i + 1/7*i**2.
(i + 1)*(i + 4)/7
Factor -111/2*o**2 + 51*o + 57/4*o**3 + 6.
3*(o - 2)**2*(19*o + 2)/4
Let h(l) = 7*l**3 + 71*l**2 - 136*l + 76. Let c(u) = -8*u**3 - 70*u**2 + 134*u - 76. Let m(w) = 9*c(w) + 10*h(w). Factor m(o).
-2*(o - 38)*(o - 1)**2
Let n(l) be the third derivative of l**8/5040 - 13*l**7/2520 + l**6/90 - 17*l**3/3 - 19*l**2. Let h(u) be the first derivative of n(u). Factor h(j).
j**2*(j - 12)*(j - 1)/3
Let f(u) = -u**2 - 5*u + 9. Let m(a) = -4*a**2 - 19*a + 32. Let g(l) = 26*f(l) - 6*m(l). Let t be g(-10). Factor 6*k + 0 + 3/2*k**3 + 6*k**t.
3*k*(k + 2)**2/2
Let h(r) = 5*r**3 + 19*r**2 - 65*r + 14. Let q(v) = -2*v**3 - 6*v**2 + 22*v - 4. Let s = -125 + 132. Let d(c) = s*q(c) + 2*h(c). Factor d(i).
-4*i*(i - 2)*(i + 3)
Let i be (12488/(-280) + 55)*2*(-2)/(-16). Find d, given that -11/5*d**3 - 3/5*d**2 - 2/5*d**5 + i*d + 9/5*d**4 - 6/5 = 0.
-1, 1, 3/2, 2
Let p(y) = 5*y**3 + 11226*y**2 + 6729*y - 4477. Let f(b) = -4*b**3 - 11224*b**2 - 6728*b + 4474. Let m(a) = 5*f(a) + 6*p(a). Determine u, given that m(u) = 0.
-1123, -1, 2/5
Suppose -5*w = -2*i - 51, -12*i = -9*i + 3*w - 39. Factor 0*z + 4/9*z**i - 2*z**4 - 14/9*z**3 + 0.
-2*z**2*(z + 1)*(9*z - 2)/9
Let d be (2 + -3 - (-1)/3)*16/(-32). Let s(b) be the first derivative of -33 - d*b**4 + 0*b + 1/2*b**2 + 13/18*b**3. Factor s(a).
-a*(a - 2)*(8*a + 3)/6
Let u = 3922 - 3918. Let r(v) be the second derivative of 1/54*v**u + 15*v - 2/27*v**3 + 1/90*v**5 + 0*v**2 + 0. Factor r(d).
2*d*(d - 1)*(d + 2)/9
Let d(n) be the first derivative of n**3/24 - 35*n**2/2 + 2450*n - 514. Factor d(h).
(h - 140)**2/8
Let q(m) be the first derivative of -2*m**6/3 - 4*m**5/5 + m**4 + 4*m**3/3 - 702. Determine b, given that q(b) = 0.
-1, 0, 1
Let q be 11 + (-12)/(15 + -14) + 3. Let v = -4/27 + 313/108. Determine p, given that 1/4*p**4 + 3/4*p**q + 2*p - 1 + 3/4*p**5 - v*p**3 = 0.
-2, -1, 2/3, 1
Let n be ((-4)/7)/((-3)/21). Suppose -n*y = -10*y + 30. Factor -896 - 5*f**3 - 10*f**4 + 896 + 10*f**2 + y*f**5.
5*f**2*(f - 2)*(f - 1)*(f + 1)
Let b = 77 - 305/4. Let q(h) be the first derivative of -3/35*h**5 - 30/7*h**2 - b*h**4 - 18/7*h**3 - 24/7*h + 11. Factor q(m).
-3*(m + 1)*(m + 2)**3/7
Let v be (-285882)/(-5406) + 2/17. Factor 35/2 + 3/2*l**2 + v*l.
(l + 35)*(3*l + 1)/2
Factor 4/5*l**2 + 0 + 452/5*l.
4*l*(l + 113)/5
Factor -2/7*t**2 - 10/7*t + 4.
-2*(t - 2)*(t + 7)/7
Let g(z) be the third derivative of -z**9/1512 + z**8/350 - 3*z**7/700 + z**6/450 + 16*z**3/3 - 6*z**2. Let s(j) be the first derivative of g(j). Factor s(a).
-2*a**2*(a - 1)**2*(5*a - 2)/5
Suppose -784*d = 324*d - 5540. Solve 4/7*w**4 - 2/7*w + 4/7 + 4/7*w**3 - 2/7*w**d - 8/7*w**2 = 0 for w.
-1, 1, 2
Let y = 333507 - 333504. Suppose 12/5*a**2 + 9/5*a**4 - 24/5*a**y + 0 + 0*a = 0. What is a?
0, 2/3, 2
Suppose 10*j + 5*j + 405 = 0. Let h = j - -30. Factor 9*l - 4*l**2 + 5*l**3 + 16 - 7*l**h - l.
-2*(l - 2)*(l + 2)**2
Let t be (-6)/(-26)*(-1 + 14). Factor -48 - 57 + 105 - t*i**2 - 99*i.
-3*i*(i + 33)
Suppose -3*v - 3 = 4*u, v + 3*v - 27 = 5*u. Suppose 2*a - v = 7. Factor 11*r**2 - a*r**3 - 20 - r**2 + 12*r**2 - 7*r**2.
-5*(r - 2)**2*(r + 1)
Let r(n) be the third derivative of -50/9*n**3 + 1/90*n**5 + 0 - 117*n**2 + 0*n - 23/36*n**4. Factor r(