= 8416. Find d, given that 1/5*d**g - 11/5*d**2 + 9/5*d - 9/5*d**3 + 2 = 0.
-1, 1, 10
Let r(c) be the third derivative of c**6/1080 + 5*c**5/108 - c**4/216 - 25*c**3/54 + 2*c**2 + 46*c. Suppose r(x) = 0. What is x?
-25, -1, 1
Let a(f) = 212*f**2 - 40*f + 4. Let p(g) = 21*g**2 + g. Let c(v) = a(v) - 8*p(v). Factor c(k).
4*(k - 1)*(11*k - 1)
Suppose -564 = 6*c - 36. Let q be -3 - (4/14 + c/14). What is k in -5*k**q - 66*k**2 + 66*k**2 = 0?
0
Let c(m) = m**3 + 7*m**2 - 27*m - 78. Let s be c(-9). Let z(n) = -2*n**2 + 87*n - 241. Let u be z(s). What is p in p**3 + 1/2*p + 7/4*p**u - 1/4 = 0?
-1, 1/4
Factor l**3 + 0*l**2 - 1/5*l**5 + 0 + 0*l + 4/5*l**4.
-l**3*(l - 5)*(l + 1)/5
Let r be (4423/(-79614))/((-2)/144). Suppose -r - 14/3*g - 2/3*g**2 = 0. What is g?
-6, -1
Let i(z) = -3*z**2 + 27*z + 60. Let n be -21*((-10)/25)/(7/5). Let a(j) = -2*j**2 + 29*j + 61. Let s(b) = n*a(b) - 5*i(b). Suppose s(y) = 0. What is y?
-11, -2
Let o be 4/42*3 + 30*10/1890. Suppose -4*u**2 - 26/9*u - o = 0. What is u?
-1/2, -2/9
Let u = 561728 - 561726. What is v in -6 + 3/4*v**u - 21/4*v = 0?
-1, 8
Let u = 3233/2667 - 353/381. Factor 0 - 2*t**3 - 24/7*t + 32/7*t**2 + u*t**4.
2*t*(t - 3)*(t - 2)**2/7
Let n(p) = -p**3 - 20*p**2 - 84*p + 2. Let i be n(-14). Find f, given that 7*f - 36121 + 36121 + f**i = 0.
-7, 0
Let z be (900/(-250))/((-2340)/600). Let z - 10/13*i**2 - 2*i = 0. Calculate i.
-3, 2/5
Let k = -694 + 696. Let s be k/8*(-10)/(-5). Factor 18 + s*w**2 - 6*w.
(w - 6)**2/2
Suppose 0 = 272*r + 38*r - 0*r - 1240. Suppose -r*t**3 - 28/3*t + 10*t**2 + 1/3*t**4 + 3 = 0. Calculate t.
1, 9
Let n(d) be the third derivative of -d**8/80640 - d**7/3360 - d**6/576 + 2*d**5/15 + 16*d**2. Let i(l) be the third derivative of n(l). Factor i(j).
-(j + 1)*(j + 5)/4
Let f = 624379 + -2497489/4. Factor f*n**3 - 6 - 33/2*n - 15/4*n**2.
3*(n - 2)*(n + 1)*(9*n + 4)/4
Let c(h) = 2*h**3 + 12*h**2 - 10*h - 57. Let g be c(-6). Suppose -17 = -5*q - 0*q - 2*j, 2*q + g*j = 9. Factor 0 + 4*x - 10/3*x**2 - 2/3*x**q.
-2*x*(x - 1)*(x + 6)/3
Let 4/5*w**2 + 32/5 - 28/5*w + 1/5*w**3 = 0. Calculate w.
-8, 2
Let d(s) be the first derivative of -181 + 2/3*s**3 - 20*s + 9*s**2. Solve d(t) = 0 for t.
-10, 1
Let f(g) be the second derivative of -6865625/6*g**4 + 0 + 21125/2*g**5 - 5801453125/2*g**2 - 325/6*g**6 + 5/42*g**7 - 100*g + 446265625/6*g**3. Factor f(l).
5*(l - 65)**5
Let h be 20/3*7392/24640. Find c such that 1/6*c**h - 19/6*c + 3 = 0.
1, 18
Let d(z) = -8*z - 174. Let u be d(-33). Let b be (-12)/u - 520/(-525). Find f, given that -4/7 - 6/7*f**3 + b*f + 4/7*f**2 = 0.
-1, 2/3, 1
Let k(h) be the first derivative of -35/2*h**4 + 173 - 340*h**2 - 115*h**3 - h**5 - 400*h. Determine i so that k(i) = 0.
-5, -4, -1
Let u(p) be the second derivative of p**7/168 - p**6/60 - 3*p**5/16 + p**4/6 + 17*p**3/6 + 6*p**2 - 161*p - 2. Find k, given that u(k) = 0.
-2, -1, 3, 4
Suppose -2*j - 3*l + 6 = -8*l, -5*j - 5*l = -15. Let i(y) be the first derivative of 8*y - 2*y**2 + 4 - 4/3*y**j. Factor i(c).
-4*(c - 1)*(c + 2)
Suppose -5*a - 4*k = -4*a - 16, 0 = 4*a - 3*k - 7. Factor -72*u**a - 495*u**3 + 15*u**3 - 409 - 4*u**5 - 2112*u - 743 - 1472*u**2.
-4*(u + 2)**3*(u + 6)**2
Let p(r) = -95*r + 1. Let l be p(-2). Let z = l - 191. Factor -2/3*u**2 + 0*u + z.
-2*u**2/3
Suppose -3885 = -5*g - 3*t, 27 = 3*t + 12. Let p = g + -772. What is r in 2/3*r**3 + 0*r - 4/3*r**p + 0 = 0?
0, 2
Suppose 116/23*i - 176/23*i**3 + 0 - 6/23*i**4 - 54/23*i**2 = 0. Calculate i.
-29, -1, 0, 2/3
Suppose 3*f + 3*d + 13 = 49, 2*f - 3*d - 44 = 0. Suppose 172*s = 180*s - f. What is l in 0*l + 3/2 - 3/2*l**s = 0?
-1, 1
Let g(w) be the second derivative of w**5/30 + 91*w**4/18 + 1127*w**3/9 + 3773*w**2/3 - 70*w + 3. Determine v so that g(v) = 0.
-77, -7
Suppose 2*s = r - 120, -3*s + 4*r - 46 = -2*s. Let d = s + 74. Factor -4*m + 18*m**5 - d*m**5 + 38*m**4 + 8*m**5 + 30*m**3 + 2*m**2.
2*m*(m + 1)**3*(7*m - 2)
Let u = -73/27 + 401/135. Let b(s) be the first derivative of -1/2*s**4 - 1/18*s**6 - 1/6*s**2 + 0*s + 4/9*s**3 - 6 + u*s**5. Factor b(o).
-o*(o - 1)**4/3
Let f(b) be the second derivative of b**6/120 - b**5/20 - 65*b**2/2 + 7*b + 5. Let p(l) be the first derivative of f(l). Let p(i) = 0. Calculate i.
0, 3
Let j(t) be the third derivative of t**6/90 - 23*t**5/45 + 22*t**4/3 - 40*t**3 + 183*t**2 + 3*t. Determine c, given that j(c) = 0.
2, 6, 15
Let a be 532/48 - 1/12. Let k(d) = -10*d**2 - 100*d - 261. Let f(w) = 5*w**2 + 50*w + 131. Let o(v) = a*f(v) + 6*k(v). Determine l, given that o(l) = 0.
-5
Let x = -308719 + 308724. Solve 8/3 - 40/3*j + 14/3*j**x + 38/3*j**2 + 26/3*j**3 - 46/3*j**4 = 0.
-1, 2/7, 1, 2
Let b(q) = 2*q - 3. Let k be b(4). Suppose 46 = -2*f + 5*r, 8*f = -5*r + 447 - 381. Determine m, given that 0 + 0*m + k*m**3 - 5/2*m**4 + 0*m**f = 0.
0, 2
Suppose -u = -5*u + 60. Suppose 4*r = 9*r - 4*z - 3, -5*r = -z - 12. Let -5*p**r + p - 21*p - 35*p**2 + u*p**2 = 0. Calculate p.
-2, 0
Let o(p) be the second derivative of -p**6/15 + 48*p**5 - 29276*p**4/3 + 76160*p**3 - 226576*p**2 - 3594*p. Factor o(m).
-2*(m - 238)**2*(m - 2)**2
Let v(r) = 60*r**3 + 52*r**2 - 122*r - 14. Let o(i) = 73*i**3 + 62*i**2 - 146*i - 17. Let g(j) = -14*o(j) + 17*v(j). Factor g(b).
-2*b*(b - 5)*(b - 3)
Suppose -6848*y + 9804 + 1271 + 9469 = 0. Solve 13/2*j - j**2 - 1/2*j**y - 5 = 0.
-5, 1, 2
Determine z so that -1/4*z**5 - 19*z**4 + 0 - 111/2*z**3 - 73/4*z - 55*z**2 = 0.
-73, -1, 0
Let n = -387 + 395. Let o be 4/(n + (-80)/12). Find d such that o*d + 0 - 3/2*d**2 = 0.
0, 2
Let f(q) be the third derivative of 0*q + q**5 - 75*q**4 - 1/180*q**6 + 80*q**2 + 3000*q**3 + 0. Factor f(j).
-2*(j - 30)**3/3
Let w(l) be the third derivative of -l**5/30 + 41*l**4 - 980*l**3/3 + 287*l**2 + l - 9. Factor w(x).
-2*(x - 490)*(x - 2)
Let -152464*g - 25645*g + 1900*g**2 - 147769 - 46563*g - 4*g**3 - 78807 = 0. Calculate g.
-1, 238
Let j = -145 + 234. Suppose 101 + 3*v**2 - 49*v + 53 + j - 5*v = 0. Calculate v.
9
Let n(a) be the third derivative of -a**7/140 + 17*a**6/40 - 9*a**5/2 + 43*a**4/2 - 56*a**3 - 3*a**2 - 505*a + 2. Let n(k) = 0. Calculate k.
2, 28
Let t be (260/(-35) + 7)*(-6)/24. Let p(c) be the second derivative of -3/14*c**3 + 0 - t*c**4 + 28*c - 1/7*c**2 + 1/70*c**6 + 1/140*c**5. Factor p(m).
(m - 2)*(m + 1)**2*(3*m + 1)/7
Let v(l) be the first derivative of 0*l - 2/15*l**3 - l**2 + 64. Factor v(u).
-2*u*(u + 5)/5
Let d(b) = 50*b**3 - 1128*b**2 - 62*b + 108. Suppose 2*c + 5 = 15. Let o(l) = -52*l**3 + 1127*l**2 + 63*l - 108. Let m(j) = c*d(j) + 4*o(j). Factor m(q).
2*(q - 27)*(3*q + 1)*(7*q - 2)
Let f = 89 + -87. Factor -6*d - 22*d**3 + 21*d**f + 12*d**3 - 5*d**3.
-3*d*(d - 1)*(5*d - 2)
Suppose 23 = -0*q + 4*q - 3*x, -5*q + 5*x = -25. Suppose -2*l - q = 0, 3*l + 2*l - 1080 = -5*d. Factor 40 + 283*h**2 - d + 60*h - 288*h**2.
-5*(h - 6)**2
Let w(o) be the first derivative of o**5/90 - 7*o**4/18 - 2*o**2 + 10*o - 161. Let j(z) be the second derivative of w(z). Find c, given that j(c) = 0.
0, 14
Let h(a) be the third derivative of -a**7/70 + 287*a**6/40 - 27063*a**5/20 + 799765*a**4/8 + 1825346*a**3 - 13*a**2 - 78*a. Solve h(j) = 0 for j.
-4, 97
Let d(r) = r**3 + 57*r**2 + 138*r + 78. Let p(i) = 115*i**2 + 280*i + 155. Let o(c) = -5*d(c) + 2*p(c). Factor o(v).
-5*(v + 1)*(v + 2)*(v + 8)
Suppose 0 = -w + a, -4*w - 3*a + 72 - 58 = 0. Factor 1/4 - n**3 + 3/2*n**w - n + 1/4*n**4.
(n - 1)**4/4
Let p(m) be the first derivative of -5*m**3/12 - 25*m**2/2 - 1275. Factor p(l).
-5*l*(l + 20)/4
Factor 0*x - 18/5*x**3 + 48/5*x**2 - 3/5*x**4 + 0.
-3*x**2*(x - 2)*(x + 8)/5
Let w = 946371 + -946369. Solve 3/4*k + 1/8*k**w - 7/8 = 0 for k.
-7, 1
Factor 48/5*v**2 + 147/5*v + 9/5.
3*(v + 3)*(16*v + 1)/5
Factor 5*t**3 + t**3 + 4175*t + 11*t**3 - 380*t**2 - 10750 - 28*t**3 + 6*t**3.
-5*(t - 5)**2*(t + 86)
Suppose -4*z = -v + 108, -231 = -2*v - 0*z + 3*z. Factor -17*t**3 + 2*t**4 - 2*t**3 + 76 + 8*t**3 + 26*t**2 - 9*t**3 - 4 + v*t.
2*(t - 6)**2*(t + 1)**2
Suppose 0 = 7*u - 444 + 934. Let n be (-8)/u*(-50)/20*-7. Suppose -140/3*r**3 + 80/3 - 245/3*r**4 + 560/3*r + 320*r**n = 0. Calculate r.
-2, -2/7, 2
Let q(b) = -10*b - 54. Let r be q(-7). Suppose 0 = -r*h + 30 + 2. Suppose 10/9*s**h + 2/3 - 16/9*s = 0. Calculate s.
3/5, 1
Let c = -38 - -38. Suppose -3*z + z = c, -2*z + 40 = 4*w. Suppose 4