x**5/15 + 1936*x**4 - 681472*x**3 + 1241*x**2. Solve y(o) = 0.
264
Let f be -6 - (6237/(-363) + 2/11). Let b(j) be the second derivative of 1/30*j**4 + 2/15*j**3 + 0*j**2 - 1/50*j**5 + 0 - f*j. Find c, given that b(c) = 0.
-1, 0, 2
Determine c so that 0 + 605*c - 4237/2*c**2 + 7/2*c**3 = 0.
0, 2/7, 605
Let y(k) be the first derivative of -2*k**6/21 + 48*k**5/35 - 29*k**4/7 - 104*k**3/7 + 360*k**2/7 + 864*k/7 + 2077. Solve y(u) = 0 for u.
-2, -1, 3, 6
Determine n so that -4*n**2 - 664*n + 552*n - 699*n - 62*n - 499*n = 0.
-343, 0
Suppose -12*l + 33 + 39 = 0. Let r(v) = 4*v**2 + 22*v. Let h(k) = 3*k**2 + 23*k. Let n(b) = l*h(b) - 5*r(b). Find z such that n(z) = 0.
0, 14
Let g(u) = -3*u**2 + 14*u + 1. Let v(l) = -28*l**2 + 48*l - 488. Let z(f) = -18*g(f) + 2*v(f). Factor z(j).
-2*(j + 7)*(j + 71)
Find m such that -44/3 + 2/3*m**2 - 6*m = 0.
-2, 11
Let h = -80553/65 + 18786/13. Let o = h - 205. Determine g so that 0*g**3 + 2/5 + 2/5*g**4 - o*g**2 + 0*g = 0.
-1, 1
Let r = 67584/5 - 1419214/105. Suppose 2/21*c**3 + 0 + 0*c + 16/21*c**4 - 4/21*c**2 + r*c**5 = 0. Calculate c.
-1, 0, 2/5
Let t = 1279 + -24310/19. Let d = t + 197/95. Determine u so that u**2 - 1/5*u**3 + 4/5 - d*u = 0.
1, 2
Let p = -2898/505 - -620/101. Factor -6/5*u + p*u**2 + 4/5.
2*(u - 2)*(u - 1)/5
Let z(t) be the third derivative of t**5/100 + 47*t**4/40 - 102*t**3/5 + 5*t**2 + 57. Factor z(s).
3*(s - 4)*(s + 51)/5
Let f(d) = 414*d - 32706. Let c be f(79). Factor c + 2/5*n + 3/5*n**3 - 7/5*n**2.
n*(n - 2)*(3*n - 1)/5
Let b = 268 + -271. Let z(c) = 8*c**3 - 4*c**2 - 2*c - 4. Let q(a) = 9*a**3 - 4*a**2 - 3*a - 6. Let r(j) = b*z(j) + 2*q(j). Find d such that r(d) = 0.
0, 2/3
Suppose -62*k + 48*k - 42 = 0. Let g be (k/(-9))/((-13)/(-117)). Determine u, given that -16*u**4 + 0*u + 0 + 0*u**2 + 20/3*u**5 + 16/3*u**g = 0.
0, 2/5, 2
Suppose -2*b = -q + 9, -q - 4*b + 6 - 9 = 0. Let r(l) be the second derivative of l**4 - 32*l + 1/3*l**q + 0 + 2/45*l**6 + 14/9*l**3 + 4/3*l**2. Factor r(u).
4*(u + 1)**3*(u + 2)/3
Let r(w) be the second derivative of -5*w**4/2 - 272*w**3/3 - 36*w**2 - 808*w + 3. Suppose r(m) = 0. Calculate m.
-18, -2/15
Let p be 5 - (-1 + 4/8)*(-4 - -2). Suppose -32/17 - 40/17*s**5 - 656/17*s**2 - 640/17*s**3 - 266/17*s**p - 256/17*s = 0. Calculate s.
-2, -2/5, -1/4
Let n = 33770 - 33767. Factor -u**2 + 0 + 0*u - 1/4*u**4 + 5/4*u**n.
-u**2*(u - 4)*(u - 1)/4
Let x = 11912 - 11910. Factor 3/5*s**x - 39/5 + 36/5*s.
3*(s - 1)*(s + 13)/5
Let u(r) be the second derivative of r**4/132 + 662*r**3/33 + 3680*r. Factor u(n).
n*(n + 1324)/11
Let l(p) = -p**2 + 3. Let k(o) = 23*o**2 + 4522*o + 443. Let t(i) = k(i) + 3*l(i). Factor t(g).
2*(g + 226)*(10*g + 1)
Let z(k) be the first derivative of 0*k + 1/6*k**4 - 1/15*k**5 + 4/3*k**3 - 24 + 25/2*k**2. Let n(s) be the second derivative of z(s). Factor n(i).
-4*(i - 2)*(i + 1)
Let w(y) be the first derivative of -2*y**3/15 - 32*y**2/5 + 738*y/5 - 1078. Determine t so that w(t) = 0.
-41, 9
Suppose -4*i + 4 = t, 0 = -2*t + 2*i + 3 + 5. Suppose d = -2*w + 5, -2*d + 7 = t*w + 3*d. Factor 2*c - 1/4*c**3 - w + 1/4*c**2.
-(c - 2)**2*(c + 3)/4
Let h = 32 - 30. Suppose -q + w + 5 = 0, -4*w = 3*q + h*q - 25. Find n, given that q*n - 50*n**2 - 7*n + 20*n**3 + 2*n - 2*n**4 = 0.
0, 5
Solve 3*x**5 + 486 + 402*x + 921*x + 172*x**3 + 86*x**3 + 66*x**4 + 216*x**3 + 1248*x**2 = 0.
-9, -2, -1
Let u = 23 + -6. Let r = 13 - u. Let m(t) = 16*t**3 - 56*t**2 + 48*t + 20. Let y(p) = -32*p**3 + 111*p**2 - 96*p - 41. Let h(v) = r*y(v) - 9*m(v). Factor h(i).
-4*(i - 2)**2*(4*i + 1)
Let o be 15/(-6)*396/(-10). Factor 2*t**2 + 5*t + 191 - t**2 - 98 - o.
(t - 1)*(t + 6)
Let t(r) be the first derivative of -r**5 + 5*r**4/2 + 95*r**3/3 + 70*r**2 + 60*r - 2083. Factor t(a).
-5*(a - 6)*(a + 1)**2*(a + 2)
Let u(c) be the first derivative of c**5/10 + 137*c**4/8 + 202*c**3/3 + 67*c**2 - 589. Let u(k) = 0. Calculate k.
-134, -2, -1, 0
Let k(u) be the third derivative of -u**5/240 + 353*u**4/48 - 124609*u**3/24 + 981*u**2. Factor k(b).
-(b - 353)**2/4
Suppose -4*v + 18 = -v, -5*u + 24 = 4*v. Let m(a) be the second derivative of 15*a + 1/2*a**6 + 6/5*a**5 + u + 0*a**2 + 3*a**3 - 19/4*a**4. Factor m(z).
3*z*(z - 1)*(z + 3)*(5*z - 2)
Let r(l) be the second derivative of -l**4/6 + 223*l**3/3 + 224*l**2 - 550*l. Find b, given that r(b) = 0.
-1, 224
Let i = 1073/1348 - 184/337. Let g(b) = b**3 + 2*b**2 - 3*b. Let a be g(-3). Let 1/4*r**4 - 1/2*r**3 + a*r**2 - i + 1/2*r = 0. What is r?
-1, 1
Solve -1924/7*q**2 + 3852/7*q - 8/7 = 0.
1/481, 2
Let d(t) be the third derivative of t**6/540 - t**5/15 - 13*t**4/36 + 1352*t**3/27 - 736*t**2. What is l in d(l) = 0?
-8, 13
Let l(f) be the second derivative of f**5/40 - 13*f**4/12 + 61*f**3/4 - 135*f**2/2 + 64*f - 13. Suppose l(c) = 0. Calculate c.
2, 9, 15
Find s such that 4*s**3 + 240/7*s**2 + 0 - 2/7*s**4 + 0*s = 0.
-6, 0, 20
Let o(j) be the first derivative of -3*j**4/20 + 8*j**3/5 - 3*j**2/10 - 126*j/5 + 639. Let o(i) = 0. What is i?
-2, 3, 7
Let h = -4664736003/5662069 - -2/808867. Let g = -819 - h. Solve -16/7*k**4 - 8/7 - 2/7*k**5 - 44/7*k**3 - 8*k**2 - g*k = 0.
-4, -1
Suppose -10*s = 3 - 43. Factor 24 + 2*z**3 + 11*z**s - z**3 - 10*z**4 - 2*z**2 - 4*z - 8*z**2.
(z - 2)**2*(z + 2)*(z + 3)
Factor 4500 + 9*l**2 + 199*l + 120*l - 4*l**2 - 39*l + 20*l.
5*(l + 30)**2
Let m = 355/1476 + -3/164. Suppose 32 = 5*j + 2*d, 3*j - 4*d - 36 = -8*d. Determine z so that 8/9*z**j + 0 + 4/9*z**2 - 14/9*z**3 + m*z = 0.
-1/4, 0, 1
Let t = 16111 + -16109. Let n(u) be the first derivative of -13/12*u**4 - 4/3*u**3 - 2/5*u**5 + 25 + 0*u - 1/18*u**6 - 2/3*u**t. Find f, given that n(f) = 0.
-2, -1, 0
Suppose 5*t - 6 - 3 = -2*i, -5*t = -2*i - 21. Let a be 50/(-4)*(-1 + -1 + 0). Solve a*u - 24*u - 3*u**2 + u**t + u**2 = 0 for u.
0, 1
Let v be 0 + 56 + (-2 - -3 - 0). Let w = v - 54. What is u in 1/2*u**w + 0 + 1/4*u + 3/4*u**2 = 0?
-1, -1/2, 0
Find y, given that 1212*y**2 + 199660 - 53024*y + 1219340 - 4*y**3 + 986938 - 69388*y + 1715266 = 0.
101
Let f(i) = i**2 - 15243*i - 14379259. Let y(u) = 4*u**2 - 76200*u - 71896296. Let k(d) = -24*f(d) + 5*y(d). Factor k(l).
-4*(l + 1896)**2
Suppose 2*a - 5*c - 21 + 46 = 0, c = -a + 5. Let j be ((-68)/(-306))/((-3)/6*-1). Suppose j*n**2 + 2/3*n**3 - 2/9*n**5 + 0*n + a*n**4 + 0 = 0. What is n?
-1, 0, 2
Let h(z) be the second derivative of 0 + 4*z**2 - 73*z + 14/3*z**3 - 4/3*z**4. Determine i, given that h(i) = 0.
-1/4, 2
Let f(z) be the third derivative of -z**5/60 + 13*z**4/12 + z**3/3 + 38*z**2 - z. Let w be f(26). Solve -14/13*a - 4/13*a**w - 6/13 = 0.
-3, -1/2
Let g be (3/(-9))/(0 - 1). Let t(y) = -1735*y - 220342. Let b be t(-127). Determine s so that -1/6*s**2 - g*s + 1/3*s**b + 1/6*s**4 + 0 = 0.
-2, -1, 0, 1
Let x = 176 - 164. Suppose 3*s - 3*o + o - 10 = 0, -3*s + x = -3*o. Factor 1/2*c**s - 5*c + 25/2.
(c - 5)**2/2
Let t(k) be the first derivative of 3*k**5 - 921*k**4/4 + 712*k**3 - 354*k**2 + 2004. Factor t(j).
3*j*(j - 59)*(j - 2)*(5*j - 2)
Suppose -3*g = -2*u + 12, 9*u = 14*u - 2*g - 30. Solve -u*i - 2 + 2*i**3 + 6*i**2 + 8*i + 4*i + 4 = 0.
-1
Let j(u) = 7*u**2 + 18*u + 20. Let p(v) = 51*v + 20*v + 11*v**2 - 4*v**2 + 22*v**2 + 80. Let b(t) = 9*j(t) - 2*p(t). Find c, given that b(c) = 0.
-2
Let d(f) be the second derivative of -f**8/840 - 16*f**7/525 - 16*f**6/75 + 91*f**2 + 170*f. Let t(s) be the first derivative of d(s). Solve t(g) = 0 for g.
-8, 0
Let c(d) be the first derivative of -1/10*d**4 + 2/15*d**3 + 48 + 1/50*d**5 + 0*d**2 - 10*d. Let f(u) be the first derivative of c(u). Factor f(o).
2*o*(o - 2)*(o - 1)/5
Let n(t) be the first derivative of t**4/3 + 128*t**3/9 + 494*t**2/3 - 306. Solve n(h) = 0.
-19, -13, 0
Let m = -2620 - -209601/80. Let v(z) be the third derivative of 1/96*z**6 - 5/96*z**4 + 0*z + 0 + 1/210*z**7 - 1/24*z**3 - 17*z**2 - m*z**5. Factor v(k).
(k - 1)*(k + 1)**2*(4*k + 1)/4
Let b = -19011/100 - 13408501/900. Let w = b - -15104. Find h, given that -w*h**2 + 26/3*h - 4/9 = 0.
2/35, 1/2
Let v(t) = t**3 + 170*t**2 - 665*t + 5394. Let r be v(-174). Factor -2/11*o**2 + 0*o - 2/11*o**3 + 2/11*o**4 + 2/11*o**5 + r.
2*o**2*(o - 1)*(o + 1)**2/11
Determine b so that -b**4 - 65883*b**3 - 98 + 158 + 65940*b**3 + 177*b**2 + 179*b = 0.
-1, 60
Let h be 5*(-80)/(-50) + 1097. Let p be (-2)/(-26) - 85/h. F