24/(-60). Let l = 126 + -1132/9. Factor 0*s**2 - k*s**3 + 0*s - l*s**5 + 0 - 4/9*s**4.
-2*s**3*(s + 1)**2/9
Let t(a) = 4*a**2 - 28*a + 6. Let m(k) be the first derivative of 4*k**3 - 41*k**2 + 17*k + 254. Let v(d) = -6*m(d) + 17*t(d). Factor v(c).
-4*c*(c - 4)
Let f be 12/(-27)*33/1672. Let s = 5/6 - f. Factor 20/19*l**2 - 8/19*l**4 - s - 2/19*l**5 - 2/19*l**3 + 8/19*l.
-2*(l - 1)**2*(l + 2)**3/19
Let g(t) be the third derivative of 13/300*t**6 - 1/25*t**5 - 13/60*t**4 - 2*t - 87*t**2 + 0 + 2/5*t**3. Factor g(u).
2*(u - 1)*(u + 1)*(13*u - 6)/5
Suppose -4*q + 409 + 87 = d, 5*q + 4*d = 620. Factor 51*r**2 - 39*r**2 + 35 + 5 - q*r.
4*(r - 10)*(3*r - 1)
Let x(t) be the second derivative of 9/130*t**5 - 2/39*t**3 - 1/15*t**6 + 150*t + 0*t**2 + 1/78*t**4 + 0 + 5/273*t**7. Factor x(d).
2*d*(d - 1)**3*(5*d + 2)/13
Let d(w) be the second derivative of w**4/78 + 17*w**3/39 - 200*w**2/13 + 8*w + 35. Determine r, given that d(r) = 0.
-25, 8
Let q = 73115 - 73113. Let r be (-4)/14 + 346/35. Factor 0 + 0*g**q + 9*g**5 + r*g**4 + 12/5*g**3 + 0*g.
3*g**3*(3*g + 2)*(5*g + 2)/5
Let y(w) = -12*w**2 - 27*w - 15. Let a = 50 + -25. Suppose 0*k + a = 5*k. Let u(s) = -23*s**2 - 53*s - 29. Let b(x) = k*y(x) - 3*u(x). Factor b(d).
3*(d + 2)*(3*d + 2)
Let 2565/2*m + 5/2*m**3 + 640 + 645*m**2 = 0. Calculate m.
-256, -1
Let o = 12768/113 - 38078/339. Find d such that 2/3*d**2 + 0 - 4/3*d - o*d**4 + 4/3*d**3 = 0.
-1, 0, 1, 2
Find o such that 320/3*o - 88/3*o**3 + 32/3*o**2 + 14/3*o**4 - 352/3 + 2/3*o**5 = 0.
-11, -2, 2
Let t(k) = -14*k**3 - 328*k**2 - 1726*k - 1387. Let z(q) = -9*q**3 - 165*q**2 - 864*q - 693. Let x(i) = -3*t(i) + 5*z(i). Solve x(m) = 0 for m.
-4, -1, 58
Let a be (54/(-4))/(15 - (125925/92)/73). Factor -2/5*n**3 - 18/5 + a*n + 2/5*n**2.
-2*(n - 3)*(n - 1)*(n + 3)/5
Let o(f) be the second derivative of 5*f**3 - 4*f + 1/16*f**5 + 0 - 10*f**2 - 15/16*f**4. Let o(b) = 0. Calculate b.
1, 4
What is v in -4*v**5 - 38*v**2 + 2844659*v + 36*v**4 + 44*v**3 - 2844699*v + 2*v**2 = 0?
-1, 0, 1, 10
Let h(b) be the third derivative of b**8/26880 - b**7/840 + b**5/60 - 2*b**4/3 + 25*b**2 + 4*b. Let o(q) be the third derivative of h(q). Solve o(g) = 0 for g.
0, 8
Let k(q) be the third derivative of 5*q**8/672 + 937*q**7/84 + 6864*q**6 + 2149173*q**5 + 317653245*q**4 + 1249258140*q**3 + q**2 - 1244. Factor k(x).
5*(x + 1)*(x + 234)**4/2
Suppose 6 = p - 2*n, 0*p = 4*p + 4*n - 36. Solve -2*d**4 + 751 + 6*d**3 - 751 - p*d = 0.
-1, 0, 2
Let w(t) = 4*t**5 - 39*t**4 + 31*t**3 + 33*t**2 - 26*t. Let a(j) = -12*j**5 + 116*j**4 - 92*j**3 - 100*j**2 + 80*j. Let h(s) = -3*a(s) - 8*w(s). Factor h(u).
4*u*(u - 8)*(u - 1)**2*(u + 1)
Let a(o) = -2*o**4 - 52*o**3 - 4*o**2 + 160*o - 104. Let h(i) = 2*i**4 - i**2. Let m(g) = a(g) + 2*h(g). Suppose m(u) = 0. Calculate u.
-2, 1, 26
Let g(s) = -470*s - 45120. Let k be g(-96). Factor 5/6*b**3 + k + 35/6*b**2 + 5*b.
5*b*(b + 1)*(b + 6)/6
Suppose 2*l - 9 = -l. Suppose -l*w - 28 = -5*y, -2*y + 2*w = -y. Factor -147*b - 25*b**2 - b**3 - 343 + 12*b**2 - y*b**2.
-(b + 7)**3
Factor -3/2*q**2 - 6*q + 135/4*q**3 + 0.
3*q*(5*q + 2)*(9*q - 4)/4
Suppose 4*a + 9 = -h - 0, 7*h = 2*a + 27. Let s(l) be the second derivative of 0 + 0*l**2 + 1/7*l**h + 5/28*l**4 - 3/20*l**5 - 19*l. Factor s(z).
-3*z*(z - 1)*(7*z + 2)/7
Suppose 380 + 22 = 67*l. Let p be l/26 + 357/(-1547). Factor 2/13*o**2 + 18/13*o + p.
2*o*(o + 9)/13
Let v be (-2)/126 + (-229710)/(-76167). Factor -4/5*z + 0 + 0*z**2 - 1/5*z**4 + 3/5*z**v.
-z*(z - 2)**2*(z + 1)/5
Let m(h) be the second derivative of 21*h**6/10 + 631*h**5/20 + 1585*h**4/12 + 25*h**3/6 + 211*h. Determine n, given that m(n) = 0.
-5, -1/63, 0
Let c(u) be the third derivative of 2*u**7/21 + 61*u**6/24 + 143*u**5/12 - 100*u**4/3 - 40*u**3 - 3*u**2 + 92. What is b in c(b) = 0?
-12, -4, -1/4, 1
Let j(a) be the second derivative of 16/3*a**3 + a + 1/3*a**4 - 10 + 24*a**2. Factor j(k).
4*(k + 2)*(k + 6)
Let i = 129 + -57. Suppose 84 - i = 4*k. Let 5*a**3 - 3*a**3 - 43 + 2*a**2 + a - 3*a**k + 41 = 0. Calculate a.
-1, 1, 2
Suppose -v - 27 = 3*c - 38, -v + 3 = -c. Factor -100*s + 3*s**2 + 197 + 2*s**c - 102.
5*(s - 19)*(s - 1)
Let f(k) be the first derivative of -10*k**3/21 + 167*k**2/7 + 204*k/7 + 1219. Factor f(h).
-2*(h - 34)*(5*h + 3)/7
Suppose -159 = -1352*o + 1299*o. Factor 18/7*n**2 + 0 + 2*n**o + 4/7*n.
2*n*(n + 1)*(7*n + 2)/7
Suppose 12*n + 11251 = 31795. Solve -18*t - 2*t - 1709*t**3 - 18*t**2 + n*t**3 - t = 0 for t.
-1, 0, 7
Let w(t) be the second derivative of -t**7/4410 + t**6/210 + t**5/30 - 7*t**4/4 - t**3/6 + 98*t. Let h(x) be the third derivative of w(x). Factor h(r).
-4*(r - 7)*(r + 1)/7
Let f(a) be the third derivative of 1/360*a**5 - a**2 + 0*a**3 + 1/144*a**4 + 0*a + 0. What is v in f(v) = 0?
-1, 0
Suppose -959*t + 954*t = -265. Let c = -52 + t. Find p, given that 1/4*p**5 - 5/4*p**4 + c + 1/4*p**2 - 2*p + 7/4*p**3 = 0.
-1, 1, 2
Suppose -16*f - 2*f = 0. Let x be 15 + (-5 - (f - 1)). Determine k, given that 19*k - 18 + x*k + 3*k**3 + 0*k**3 + 9*k - 24*k**2 = 0.
1, 6
Suppose -3*j + 57 = 5*c, -j + 13 + 10 = 2*c. Suppose 2*b + 6 = c. Find i, given that -i - 1/3*i**b - i**2 - 1/3 = 0.
-1
Let c(u) be the first derivative of -2/7*u**2 + 2/35*u**5 + 86 + 0*u + 3/14*u**4 - 1/21*u**6 - 2/21*u**3. Suppose c(b) = 0. Calculate b.
-1, 0, 1, 2
Let y be (-2)/2 - -3 - 230/138. Find i, given that -1/3*i + 0 - y*i**4 + 1/3*i**3 + 1/3*i**2 = 0.
-1, 0, 1
Factor -33*w - w**2 - 1372 + 2796 - 1354.
-(w - 2)*(w + 35)
Let b(y) be the second derivative of 361*y**7/42 - 703*y**6/90 + 47*y**5/20 - y**4/4 - 1432*y - 1. Factor b(s).
s**2*(3*s - 1)*(19*s - 3)**2/3
Let h(i) be the second derivative of i**6/60 - 3*i**5/20 + 3*i**4/8 + 299*i. Solve h(u) = 0.
0, 3
Let s be (-2)/(-11) - 18/99. Let x = 3/142 + 59/568. Factor -1/4*w + x*w**2 + s.
w*(w - 2)/8
Let n(s) be the second derivative of 25*s**7/21 - 7*s**6/2 + s**5/2 - 24*s + 46. Let n(j) = 0. What is j?
0, 1/10, 2
Suppose -42*j = -465 - 39. Let a(h) = -h**3 + 2*h**2 + 5*h - 2. Let u be a(3). Factor 206*b**4 + 4*b**3 - j*b**3 - 210*b**u.
-4*b**3*(b + 2)
Let m = -77205 - -308823/4. Let 0*t**4 + 7/8*t + 1/8*t**5 + 3/4 - t**3 - m*t**2 = 0. Calculate t.
-2, -1, 1, 3
Let b = 66 - 63. Find g such that 372*g**2 - 480*g + 48 + 710*g**2 + 198*g**2 - b = 0.
3/16
Suppose -2*x + 36 = -1062*u + 1064*u, 0 = -4*x - 5*u + 90. Determine s so that -1/3*s + x + 2/3*s**2 = 0.
0, 1/2
Let q(p) be the third derivative of -p**5/40 + 33*p**4/8 + 34*p**3 - 229*p**2 - 2. Let q(r) = 0. Calculate r.
-2, 68
Suppose 4*b - 4 = 5*u - 31, u - 5*b - 18 = 0. Solve 0*l**3 - l**u - 30*l**2 - 11*l**3 + 7*l**3 + 160 = 0 for l.
-4, 2
Let y(k) = -5*k**3 - k**2 + 143*k + 4. Let t be y(0). Factor 18*u**2 + 44/3*u + 4/3*u**t + 8/3 + 25/3*u**3.
(u + 2)**3*(4*u + 1)/3
Suppose -2*k = -125 - 35. Suppose -78*j = -k*j + 4. Determine w so that 6*w**3 - 15/2*w - 6*w**4 + 3 + 3/2*w**5 + 3*w**j = 0.
-1, 1, 2
Let y(o) be the third derivative of 0*o + 1/70*o**7 + 2 + 0*o**3 + 19*o**2 + 3/4*o**4 + 7/10*o**5 + 19/80*o**6 - 1/224*o**8. Find u, given that y(u) = 0.
-2, -1, 0, 6
Let s(o) be the first derivative of -155*o**3 + 453*o**2/2 + 12*o + 1620. Find y, given that s(y) = 0.
-4/155, 1
Let v(z) = 7*z + 1 - 1 - 3*z + 2*z**2 + 4*z. Let h(m) = -m. Let t = -14 - -8. Let j(c) = t*h(c) - v(c). Factor j(b).
-2*b*(b + 1)
Let b(t) be the third derivative of -5*t**8/1512 - t**7/105 + 37*t**6/540 - t**5/10 + t**4/27 + 3*t**2 + 31*t. Determine r, given that b(r) = 0.
-4, 0, 1/5, 1
Solve 12 + 17/4*l + 3/8*l**2 = 0.
-6, -16/3
Suppose 222*h**5 - 8*h**2 + 2160*h**4 - 4304*h**3 - 1692 + 33*h**5 - 460 - 259*h**5 + 4308*h = 0. Calculate h.
-1, 1, 538
Suppose 188 - 187 + 91 = 46*b. What is m in -140/3*m**b + 0 + 5/3*m**5 + 10/3*m**3 - 40*m + 35/3*m**4 = 0?
-6, -2, -1, 0, 2
Let b be (-15)/(-20) - (-114)/8. Let w = b - 11. Find z such that -13 - 2*z**3 - z**w + 14 + 2*z**5 - 2*z**4 + 2*z**2 - 3*z**5 + 3*z = 0.
-1, 1
What is j in 32/3*j - 82/3*j**3 + 50/3*j**5 - 30*j**4 - 8 + 38*j**2 = 0?
-1, -3/5, 2/5, 1, 2
Let q(p) = 31*p**2 - 83*p - 178. Let c(m) = 55*m**2 - 167*m - 358. Let r(n) = -4*c(n) + 7*q(n). Factor r(o).
-3*(o - 31)*(o + 2)
Let i(h) = -h**3 + 31*h**2 - 59*h + 71. Let b be i(29). Suppose b*l - 7*l - 105 = 0. Factor -5/6*k**l + 5/6*k + 1/6*k**2 + 1/3*k**4 - 1/2.
(k - 1