1/1080*s**6 + 22*s**2 + 7/2*s**3 + 0 + 0*s. Let h(o) be the first derivative of c(o). Factor h(j).
-(j - 2)*(j + 1)/3
Let a(j) be the second derivative of -j**4/4 - 93*j**3 - 555*j**2/2 + 1146*j. Suppose a(p) = 0. What is p?
-185, -1
Let f(p) = -p**3 + 7*p**2 + 7*p + 8. Let t be f(8). Suppose 5*g + 25 = t, -2*q - 2*g + 14 = -4*g. Factor 14*o + 0*o**2 - 4*o**3 + 0*o**3 - 46*o - 16 - 20*o**q.
-4*(o + 1)*(o + 2)**2
Determine k so that -252*k + 55566 + 2/7*k**2 = 0.
441
Let y(x) = 4*x**2 - 409*x + 8177. Let v be y(75). Factor 4/11*z + 18/11*z**3 - 2*z**v + 0.
2*z*(z - 1)*(9*z - 2)/11
Suppose -7*p = 3*p - 420. Suppose 0*l + 4*l - p = 2*x, -5*l + x = -51. Factor -7*m - m**2 - 6*m + 8*m + l - 4*m.
-(m - 1)*(m + 10)
Suppose 5*p = -50*b + 53*b + 7, 0 = -4*p - 2*b + 10. Determine d so that 923 + 3*d**2 + p*d**2 - 888 + 40*d = 0.
-7, -1
Find u such that -6*u**4 + 77259775*u**2 - 77261380*u**2 + 89*u + 3375 + 1486*u + 189*u**3 = 0.
-1, 5/2, 15
Let r be 6 - (-220)/(-37) - (-18)/10656*116. Factor -r*v**2 + 77/2*v - 5929/4.
-(v - 77)**2/4
Let u(f) = 2*f**3 - 5*f**2 + f + 1. Let d(h) = 9*h**3 - 134*h**2 + 339*h - 218. Let x(l) = 5*d(l) - 20*u(l). Find y, given that x(y) = 0.
1, 2, 111
Let v(t) be the third derivative of -t**7/2520 - t**6/135 + t**5/360 + t**4/9 - 17*t**3/6 - 150*t**2. Let x(r) be the first derivative of v(r). Factor x(a).
-(a - 1)*(a + 1)*(a + 8)/3
Let g(s) be the second derivative of 31 + 2*s + 1/30*s**4 + 6/5*s**3 + 81/5*s**2. Factor g(h).
2*(h + 9)**2/5
Let p be (-25)/(50/12) - 240/(-12)*6/18. Suppose 13/2*a**2 + 9*a + 11/6 - p*a**3 = 0. What is a?
-1, -1/4, 11
Suppose -11*i + 642 = 565. Let u(v) be the third derivative of 0*v + 0 - 1/840*v**i - 1/480*v**6 + 1/96*v**4 + 0*v**3 - 7*v**2 + 1/240*v**5. Factor u(s).
-s*(s - 1)*(s + 1)**2/4
Factor -135 - 5/4*i**2 - 105/4*i.
-5*(i + 9)*(i + 12)/4
Let f(w) be the first derivative of -w**5/100 - w**4/10 + 6*w**3/5 - w**2 - 129*w - 9. Let c(k) be the second derivative of f(k). Factor c(m).
-3*(m - 2)*(m + 6)/5
Let h(i) be the third derivative of -i**5/60 - 47*i**4/2 + 566*i**3/3 + 6234*i**2. Factor h(w).
-(w - 2)*(w + 566)
Suppose 0 - 1/2*p**3 - 209/2*p**2 + 105*p = 0. Calculate p.
-210, 0, 1
Determine x so that -9498*x**2 + 0*x**3 - 6*x**3 + x**4 + 9507*x**2 = 0.
0, 3
Let t(v) be the first derivative of -9*v**5/20 + 2*v**4 + 2*v**3 + 38*v**2 + 43. Let p(r) be the second derivative of t(r). Solve p(k) = 0 for k.
-2/9, 2
Let s = 1403 - 778. Factor -4 + 0*d**2 - 310*d + d**2 - 2*d**2 - 311*d + s*d.
-(d - 2)**2
Let w = 8846546/23199 + 2/7733. Let d = w - 372. Determine t, given that d*t - 2/3*t**2 - 98/3 = 0.
7
Let c = -25516 - -25518. Find k, given that 5*k**c + 0 - 5*k - 5/4*k**3 = 0.
0, 2
Let o(t) be the first derivative of -2*t**5 - 9*t**4 + 42*t**3 + 128*t**2 - 120*t + 13249. Let o(c) = 0. Calculate c.
-5, -2, 2/5, 3
Suppose 2*x = 21*x + 20*x - 117. Let j(c) be the third derivative of 0 + 5*c**2 + 0*c + 27/2*c**x + 3/4*c**4 + 1/60*c**5. Factor j(b).
(b + 9)**2
Suppose -3*o - 10 = -0*o - 4*g, -g - 3 = 2*o. Let n be (-1)/(o*(-3)/(-30)). Factor 38*j + n + j**2 - 16*j - 16*j.
(j + 1)*(j + 5)
Suppose 208*d - 31*d**5 - 157*d**3 + 124*d**4 - 12*d**2 - 27*d**3 + 7*d**5 + 0*d**5 - 112 = 0. What is d?
-1, 1, 7/6, 2
Let h(j) be the third derivative of j**5/165 - 35*j**4/132 - 19*j**3/11 + 454*j**2. Find q, given that h(q) = 0.
-3/2, 19
Factor -512/3*u**2 - 486 - 576*u.
-2*(16*u + 27)**2/3
Suppose -5*w + 18 = -m, w = -655*m + 654*m. Factor 5/2*v**4 + 15*v**w + 45/2*v**2 + 0 + 0*v.
5*v**2*(v + 3)**2/2
Let a(q) be the third derivative of q**6/30 - 547*q**5/240 + 2363*q**4/48 - 289*q**3/8 + 47*q**2 + 27*q. Factor a(g).
(g - 17)**2*(16*g - 3)/4
Let f(v) be the first derivative of 5*v**5/24 - 55*v**4/16 - 35*v**3/6 + 2*v**2 - v - 41. Let y(g) be the second derivative of f(g). What is p in y(p) = 0?
-2/5, 7
Let q(h) be the first derivative of -2*h**5/15 + 11*h**4/6 + 8*h**3/3 + 4312. Factor q(i).
-2*i**2*(i - 12)*(i + 1)/3
Let k(i) be the third derivative of -i**7/70 + 9*i**6/10 - 7*i**5/4 + 1570*i**2. What is j in k(j) = 0?
0, 1, 35
Let f(x) = 57*x**2 + 1046*x + 369. Let o(v) = 24*v**2 + 522*v + 182. Let n(l) = 2*f(l) - 5*o(l). Determine z so that n(z) = 0.
-86, -1/3
Let i be (-11)/((-66)/36) + -3. Find l, given that -5*l**3 - 8*l**2 + 21*l**3 - 4*l - 10*l**i - 10*l**3 = 0.
-1, 0
Let b(a) be the first derivative of 2*a**3/3 - 131*a**2 - 1080*a + 2558. Suppose b(j) = 0. Calculate j.
-4, 135
Let z(p) = -25*p + 2. Let w be z(0). Let x(i) be the first derivative of 2/3*i**w - 2/9*i**3 - 1/6*i**4 + 0*i + 18. Solve x(b) = 0 for b.
-2, 0, 1
Let n(w) be the third derivative of -1/210*w**5 - 1 + 0*w**4 + 0*w + 1/21*w**3 + 47*w**2. Factor n(u).
-2*(u - 1)*(u + 1)/7
Suppose -14 = -3*n - u - 5, 3*u - 11 = -5*n. Let q(z) be the third derivative of 0*z + 1/90*z**5 + 16*z**2 + 0 - 2/9*z**n + 16/9*z**3. Factor q(a).
2*(a - 4)**2/3
Find z, given that -13456/5 + 228/5*z**2 - 2/5*z**3 - 6264/5*z = 0.
-2, 58
Determine m, given that 3/8*m**2 - 42*m + 1176 = 0.
56
Suppose -4*z = 2*j - 24, -5*z + 210*j - 212*j + 26 = 0. What is t in 2/9*t**z - 4/9*t + 0 = 0?
0, 2
Let w(m) = -m**3 + 6*m**2 - 6*m + 2. Let j be w(4). Let l = -1027 + 1032. Determine f so that -2*f**3 + l*f + 8*f - j*f + f**3 + 2*f**2 = 0.
-1, 0, 3
Let k(w) be the second derivative of -13*w**5/10 - 32*w**4/3 - 47*w**3/3 + 4*w**2 + 2*w - 40. Find n, given that k(n) = 0.
-4, -1, 1/13
Solve 1/2*b**3 + 72 + 8*b**2 + 42*b = 0.
-6, -4
Let i(v) be the third derivative of 1/945*v**7 + 5*v - 54*v**4 + 18/5*v**5 - 1/10*v**6 + 0*v**3 + 4*v**2 + 0. Find n such that i(n) = 0.
0, 18
Let o(k) be the third derivative of k**7/1365 + k**6/78 - k**5/30 - 71*k**4/78 - 40*k**3/13 - 583*k**2 + k. Suppose o(l) = 0. What is l?
-10, -3, -1, 4
Let l(g) = g**3 + 2*g**2 - 30*g - 58. Let k be l(-2). Let w(d) be the third derivative of -18*d**k + 25/96*d**4 - 1/48*d**5 + 0*d + 0 - 5/6*d**3. Factor w(b).
-5*(b - 4)*(b - 1)/4
Let l be (-31)/(-186) - 12/(-9). Factor 1/2*z**4 + 2 - 3/2*z**3 - 5/2*z**2 + l*z.
(z - 4)*(z - 1)*(z + 1)**2/2
Let x(v) be the first derivative of -65*v**4 - 92*v**3 + 16*v**2 + 48*v - 1610. Find r such that x(r) = 0.
-1, -6/13, 2/5
Suppose 275*c - 14 = 268*c. Suppose 4*g = -c*u - 3 + 9, -3*u + 9 = 2*g. Determine o so that 0 - 2/7*o**5 + 8/7*o**4 + 0*o - 8/7*o**3 + g*o**2 = 0.
0, 2
Let f be (-35)/(-14)*39/468. Let v(k) be the second derivative of 1/40*k**5 + f*k**4 + 0 - 9/4*k**2 + 1/4*k**3 + 7*k. What is b in v(b) = 0?
-3, 1
Let z(f) be the first derivative of -7 - f**2 - 2/3*f**3 + 0*f. Suppose z(l) = 0. Calculate l.
-1, 0
Let k(m) be the first derivative of -295 - 299/8*m**2 - 11/12*m**3 - 27/2*m. Factor k(f).
-(f + 27)*(11*f + 2)/4
Let l(o) = o**4 + o**3 - o - 1. Suppose 4*m - m = 5*n - 10, m + 5 = 0. Let v(b) = 6*b**4 - 18*b**3 - 4*b - 4. Let f(c) = n*v(c) + 4*l(c). Factor f(k).
-2*k**3*(k - 11)
Suppose 3*d = 2*q - 4, 5*d = 52 - 52. Let a(p) be the third derivative of 0*p - 13*p**q + 3/4*p**3 + 0 + 1/4*p**4 + 1/40*p**5. Suppose a(z) = 0. Calculate z.
-3, -1
Let a(t) be the first derivative of -t**4/3 - 4*t**3/3 - 2*t**2 + 38*t + 108. Let q(r) be the first derivative of a(r). Solve q(y) = 0.
-1
Let -453750 - 1650*b - 3/2*b**2 = 0. What is b?
-550
Solve 3/7*b**4 - 33/7*b**3 + 234/7 - 93/7*b**2 + 177/7*b = 0 for b.
-3, -1, 2, 13
Let u(t) = 11*t**3 - 81*t**2 + 66*t - 4. Let c(d) = 9*d**3 - 78*d**2 + 66*d - 3. Let x(h) = -4*c(h) + 3*u(h). Factor x(n).
-3*n*(n - 22)*(n - 1)
Let f be (-12749)/2736 + (5 - 0). Let l = f + 5/48. Let 0 - 8/9*v**3 - 10/9*v**2 - l*v - 2/9*v**4 = 0. Calculate v.
-2, -1, 0
Let g(u) = 77*u**2 + 84*u**2 - 59*u - 212*u + 143 + 7*u**3. Let j(k) = 4*k**3 + 107*k**2 - 181*k + 95. Let f(n) = -5*g(n) + 8*j(n). Solve f(q) = 0.
1, 15
Factor -70/3*o - 14*o**2 - 2/3*o**3 + 38.
-2*(o - 1)*(o + 3)*(o + 19)/3
Let l(b) be the first derivative of -b**6/75 + b**5/25 + b**4/30 - 2*b**3/15 + 249*b - 13. Let g(c) be the first derivative of l(c). Factor g(f).
-2*f*(f - 2)*(f - 1)*(f + 1)/5
Let h = 15242 + -15190. Let f(b) be the first derivative of -16/9*b**3 + h - 20/3*b + 14*b**2. Factor f(j).
-4*(j - 5)*(4*j - 1)/3
Let a(s) be the second derivative of 7 - 9*s**2 - 25/96*s**4 + 5/2*s**3 - 8*s. Factor a(y).
-(5*y - 12)**2/8
Let s(i) be the second derivative of 16/11*i**3 + 0 