/11*v**2 + 144/11*v = 0 for v.
-2, -1, 3, 6
Let p(y) be the second derivative of y**7/21 - 9*y**6/10 + 21*y**5/5 + 49*y**4/12 + 4*y + 389. Find u, given that p(u) = 0.
-1/2, 0, 7
Let n(q) be the second derivative of 13/5*q**6 + 35/2*q**4 - 2*q + 1/14*q**7 + 23/2*q**3 + 54/5*q**5 - 48 + 0*q**2. Factor n(a).
3*a*(a + 1)**3*(a + 23)
Suppose -4*p + 3*y + 35 + 20 = 0, 0 = p + 5*y + 15. Find u, given that -5*u**4 + 10*u - p*u**2 - 10*u**3 - 3*u - 12*u - 1 - u**5 = 0.
-1
Let p = 1266231/5 + -253239. Factor p*x**2 - 2/5 - 34/5*x.
2*(x - 1)*(18*x + 1)/5
Suppose 4 - 2 = v - 2*z, z - 2 = -v. Suppose 36*f = 65*f - 58. Factor 4*t + 2*t**3 - 4*t**2 - 8*t**f + 8*t**v - 2*t**2.
2*t*(t - 2)*(t - 1)
Let i(j) = 15*j**2 - 558*j - 627. Let s(y) = -8*y**2 + 276*y + 314. Let l(h) = -5*i(h) - 9*s(h). Factor l(q).
-3*(q - 103)*(q + 1)
Determine d, given that 33*d**2 + 99 - 116*d + 39*d**2 + 8*d**2 - 99 = 0.
0, 29/20
Let f(z) be the second derivative of z**5/160 + 3*z**4/32 + 5*z**3/16 - 179*z**2/2 - 8*z - 2. Let m(u) be the first derivative of f(u). Solve m(x) = 0.
-5, -1
Let u(b) = 6*b - 2. Let x be u(5). Suppose 4*s - x + 16 = 0. Determine q, given that -3*q**3 + 0*q**2 - 3 - q**s + 9*q**2 - 2*q**3 = 0.
-1/2, 1
Let n(x) be the first derivative of x**6/12 - x**5 + 27*x**4/8 - 3*x**3 - 22. Factor n(r).
r**2*(r - 6)*(r - 3)*(r - 1)/2
Let m(z) = -z - 91. Let y(r) = 3*r**2 + 226*r + 364. Let a(x) = -4*m(x) - y(x). Factor a(b).
-3*b*(b + 74)
Let y(r) = 424*r - 93278. Let t be y(220). Suppose t*p**4 - 52/3*p**2 - 2/3*p**3 + 40/3*p + 16 = 0. Calculate p.
-3, -2/3, 2
Determine z, given that 1775*z + 576 + 96*z**4 - 2*z**5 + 600*z**3 - 203*z + 6*z**5 + 1504*z**2 = 0.
-16, -3, -1
Let d be (16/(-3))/(6780/(-2034)). Solve 6/5 - 26/5*r + d*r**2 = 0.
1/4, 3
Let x(w) be the third derivative of w**5/45 + w**4 - 80*w**3/9 - 5*w**2 + 273. Factor x(y).
4*(y - 2)*(y + 20)/3
Let f be 12258/1188 + 4/22. Let d = -38/69 - -10219/138. Find q such that -d*q - 343/2 - f*q**2 - 1/2*q**3 = 0.
-7
Let c(f) be the first derivative of 176/15*f**3 + 8/5*f**4 + 41/5*f**2 + 2*f - 46. Factor c(m).
2*(m + 5)*(4*m + 1)**2/5
Let i(c) be the second derivative of 1/14*c**7 - 343/4*c**4 + 0*c**2 - 21/10*c**6 - 2 - 19*c + 441/20*c**5 + 0*c**3. Factor i(z).
3*z**2*(z - 7)**3
Let n(r) = -220*r**2 + 5424*r - 24. Let m(l) = 238*l**2 - 5423*l + 26. Let v(t) = 12*m(t) + 13*n(t). Solve v(s) = 0 for s.
0, 1359
Let d(l) be the second derivative of l**6/60 + l**5/40 - l**4/6 - l**3/3 - 2015*l. Let d(y) = 0. Calculate y.
-2, -1, 0, 2
Let q = -1266 + 1272. Let l(n) = 10*n**2 + 10*n + 18. Let i be (-2)/(-6) - (-28)/6. Let m(u) = -9*u**2 - 11*u - 17. Let o(b) = i*l(b) + q*m(b). Factor o(k).
-4*(k + 1)*(k + 3)
Let z(r) = 4*r**2 + 5*r + 9. Suppose -3*y + 29 + 22 = 0. Let i(b) = y + b**2 - 3 + b - 13. Let v(m) = 5*i(m) - z(m). What is d in v(d) = 0?
-2, 2
Let c(s) be the second derivative of -1/160*s**5 - 1/24*s**4 + 0 - 98*s + s**2 + 1/12*s**3. Factor c(a).
-(a - 2)*(a + 2)*(a + 4)/8
Factor -1/3*x**4 + 0 - 1323*x - 1281*x**2 + 125/3*x**3.
-x*(x - 63)**2*(x + 1)/3
Solve -245*f**3 + 1781*f**5 - 3286*f**5 + 2240*f**4 - 315*f**5 - 3300*f**5 = 0 for f.
0, 7/32
Suppose 5*q**4 - 76*q**3 - 19*q**3 + 5019*q - 435*q**2 - 3026*q - 230 - 2558*q = 0. What is q?
-2, -1, 23
Let i(g) be the first derivative of g**4/26 - 102*g**3/13 + 450*g**2/13 - 2001. What is v in i(v) = 0?
0, 3, 150
Factor 0 + 708/5*c + 248/15*c**3 + 478/5*c**2 + 2/15*c**4.
2*c*(c + 3)**2*(c + 118)/15
Let k(y) be the third derivative of y**6/180 - 11*y**5/10 + 363*y**4/4 - 77*y**3/2 + 70*y**2. Let z(s) be the first derivative of k(s). Solve z(b) = 0 for b.
33
Let o = -800 - -802. Suppose -130*p - 12 = o*f - 126*p, -5*f + 6 = -2*p. Let 5/2*s**2 + f*s + 1/2*s**3 + 0 = 0. Calculate s.
-5, 0
Suppose c - 386 = -347. Let x be -2 - (-150)/c - 4/(-26). Factor -8/5*a**x - 18/5*a - 4/5.
-2*(a + 2)*(4*a + 1)/5
Suppose 13*h + h = 0. Let f(c) = -4*c + 21. Let n be f(h). Factor 2*m**2 + 43*m**3 - 12 + m**2 - n*m**3 - 12*m - 19*m**3.
3*(m - 2)*(m + 1)*(m + 2)
Let v = 2830486/5307105 - 2/353807. Find b, given that 2/3*b**2 + 0*b**3 - v + 0*b - 2/15*b**4 = 0.
-2, -1, 1, 2
Let f be ((-14)/(-21))/(1 - -1). Let i(a) be the second derivative of 1/12*a**4 - 3/2*a**2 + 10*a + 0 - f*a**3. Solve i(q) = 0 for q.
-1, 3
Suppose 0 = -9*z + 8861 - 50. Let x = z + -2935/3. Factor 0*k - 1/3*k**3 - x*k**2 + 0.
-k**2*(k + 2)/3
Let a(t) be the first derivative of 2*t**3/27 + 137*t**2/9 - 556*t/9 - 1111. Factor a(m).
2*(m - 2)*(m + 139)/9
Suppose 12*a = 22 + 19 + 7. Let g(v) be the first derivative of -16/55*v**5 - 6/11*v - 28/11*v**3 - 19/11*v**2 - 9 - 18/11*v**a. Factor g(u).
-2*(u + 3)*(2*u + 1)**3/11
Let s = 273454 - 272866. What is t in 532*t + s - 164/3*t**2 + 4/3*t**3 = 0?
-1, 21
Let d(r) be the second derivative of 22 + 9/10*r**5 + 0*r**2 + 2/3*r**3 + r - 1/3*r**6 + 1/21*r**7 - 7/6*r**4. Determine a so that d(a) = 0.
0, 1, 2
Let d(b) be the third derivative of -b**5/15 - 234*b**4 - 328536*b**3 + 3690*b**2 + 2*b - 1. Suppose d(u) = 0. Calculate u.
-702
Factor 38/5*w**2 + 0 + 2/5*w**4 + 0*w - 8*w**3.
2*w**2*(w - 19)*(w - 1)/5
Let i = 660 + -327. Factor -20*v**3 + 288*v - 51 - 54*v**2 - i + 23*v**3.
3*(v - 8)**2*(v - 2)
Factor -288/13*o + 290/13 - 2/13*o**2.
-2*(o - 1)*(o + 145)/13
Let z(h) = -235*h + 0*h**2 + 5*h**2 + 152*h + 154*h - 182. Let i(f) = -10*f**2 - 141*f + 367. Let u(l) = 4*i(l) + 9*z(l). Factor u(t).
5*(t - 2)*(t + 17)
Let v = 0 - -2. Let w = -20 + 26. Factor 3*p - w*p + 1 + 5 - p**3 - 7 - 3*p**v.
-(p + 1)**3
Let l(o) be the third derivative of -11/96*o**4 - 2*o**2 + 0 + 1/2*o**3 - 1/240*o**5 - 11*o. Factor l(z).
-(z - 1)*(z + 12)/4
Suppose -c - 4 = 0, 459 = 2*z - 4*c - 649. Let f be (-6)/7 + 804/z. Solve -2/13 - f*n**4 - 2*n**3 - 30/13*n**2 - 14/13*n = 0.
-1, -1/4
Let -2688*y - 887 + 928 - 28*y**2 - 968 - 1759 + 26*y**2 = 0. What is y?
-1343, -1
Suppose 29403/5 + 201/5*g**2 + 1/5*g**3 + 2079*g = 0. What is g?
-99, -3
Let u(z) be the third derivative of z**5/120 - 41*z**4/24 - 83*z**3/12 - 1916*z**2. Let u(q) = 0. What is q?
-1, 83
Let x(t) = 3*t**2 - 12*t + 11. Let a be x(4). Factor j**5 - j**4 + 5*j**2 + a*j**3 + 8*j**4 + 0*j**5.
j**2*(j + 1)**2*(j + 5)
Let i(l) be the third derivative of 7 - 3*l**2 + 7/34*l**5 + 275/204*l**4 + 1/60*l**6 + 250/51*l**3 + 1/1785*l**7 + 0*l. Solve i(g) = 0.
-5, -2
Let l(m) = -2*m**3 + 8*m**2 - 22*m - 4. Let g(o) = 4*o**3 - 17*o**2 + 43*o + 7. Suppose 47 = -24*d - 49. Let w(j) = d*g(j) - 7*l(j). Factor w(h).
-2*h*(h - 3)**2
Let 6372*s**2 - 3182*s + 530 - 3*s**5 - 11943*s**4 - 5324*s**3 - 3*s**5 + 13553*s**4 = 0. Calculate s.
1/3, 1, 265
Let w be (10 + 2)*(95/(-171))/((-175)/168). Determine p, given that 32/5 - 2/5*p + 2/5*p**3 - w*p**2 = 0.
-1, 1, 16
Let l = 9053/2 - 4225. Let r = l + -300. Suppose 21/4*k**3 + 0 - r*k - 9/4*k**2 - 15/4*k**5 + 9/4*k**4 = 0. What is k?
-1, -2/5, 0, 1
Let m be (10 - 216/20)*(-1 - (-8)/(-2)). Let t(b) be the second derivative of -1/18*b**m + 11*b + 0 + 2/3*b**2 - 1/9*b**3. Factor t(u).
-2*(u - 1)*(u + 2)/3
Factor -4/5*i**2 - 2/5*i**3 + 32/5*i + 64/5.
-2*(i - 4)*(i + 2)*(i + 4)/5
Let h(o) be the third derivative of -o**6/24 - 3*o**5/4 + 85*o**4/12 - 20*o**3 + 980*o**2. Find t such that h(t) = 0.
-12, 1, 2
Let w(a) be the first derivative of -a**6/900 + a**5/300 + a**4/5 + 5*a**3/3 + 18*a + 41. Let l(o) be the third derivative of w(o). Factor l(p).
-2*(p - 4)*(p + 3)/5
Let k(v) = -v**2 - 15*v - 12. Let a(y) = 4*y - 2. Let s be a(-3). Let t be k(s). Factor 3/5*n**3 - 3/5*n + 3/5 - 3/5*n**t.
3*(n - 1)**2*(n + 1)/5
Let p be (-146)/8 - 1444/(-110 + 34). Factor -9/4*b**3 - p*b + 3/4*b**4 + 9/4*b**2 + 0.
3*b*(b - 1)**3/4
Let 2*a**4 + 192/5*a - 14/5*a**2 - 72/5 - 44/5*a**3 = 0. What is a?
-2, 2/5, 3
Let d(r) be the third derivative of -3/100*r**5 - 1/5*r**4 - 1/600*r**6 + 41*r**2 + 0*r + 0 - 2/3*r**3. Let d(f) = 0. Calculate f.
-5, -2
Let j(r) = 2. Let l(y) = -1156*y**2 - 272*y - 40. Let a(x) = -12*j(x) - l(x). Find h such that a(h) = 0.
-2/17
Let v = 6450 + -6448. Let 0*a**3 + 0*a + 24/5*a**4 + 0 - 4/5*a**5 + 0*a**v = 0. Calculate a.
0, 6
Let 207 - 795/4*m + 3/4*m**3 - 9*m**2 = 0. Calculate m.
-12, 1, 23
Let u(a) = -34*a**2 - 28*a - 1238. Let d(n) = -24*n**2 - 19*n - 825. Let t(h) = -10*d(h) + 7*u(h). Factor t(y).
2*(y - 16)*(y + 