/12 - 46*u**3/3 - 94*u**2. Let d(b) be the first derivative of x(b). Factor d(f).
2*(f - 1)*(f + 5)
Let w(y) be the first derivative of 25*y**3/12 - 2485*y**2/4 - 8428. Factor w(g).
5*g*(5*g - 994)/4
Let x(b) = -16*b**4 - 27*b**3 - 55*b**2 + 171*b + 10. Let j(a) = -13*a**4 - 25*a**3 - 54*a**2 + 172*a + 8. Let m(k) = 10*j(k) - 8*x(k). Factor m(z).
-2*z*(z - 2)*(z + 8)*(z + 11)
Let u(m) be the first derivative of -4/3*m**3 + 104*m - 133 + 22*m**2. Factor u(g).
-4*(g - 13)*(g + 2)
Determine d, given that 14*d**2 + 77*d + 45*d - 19*d**2 + 6*d**2 = 0.
-122, 0
Let g(h) be the second derivative of h**6/165 - h**5/11 + 4*h**4/33 + 10*h**3/33 - 9*h**2/11 + 120*h + 6. Solve g(r) = 0.
-1, 1, 9
Suppose 9 = -7*n + 86. Let g(p) = -p**3 + 11*p**2 - p + 13. Let z be g(n). What is w in 2*w**2 - 3*w - w**z + 0*w = 0?
0, 3
Suppose 5*d - 3 - 2 = -5*q, 2*q = -d + 3. Factor o + 6*o**4 + 98*o**3 - 97*o**3 + q*o - 10*o**2.
o*(o - 1)*(2*o + 3)*(3*o - 1)
Let h(o) = o**2 - 43853*o - 263152. Let t be h(-6). Factor -2 - 1/3*d + 2*d**t + 1/3*d**3.
(d - 1)*(d + 1)*(d + 6)/3
Factor -15456*j + 7738*j - 320 - 5*j**2 + 7798*j.
-5*(j - 8)**2
Let a(d) = -57*d - 3 + d**2 + 27 + 33*d. Let f(h) = -10*h**2 + 215*h - 215. Let s = -5 - -9. Let g(k) = s*f(k) + 35*a(k). Suppose g(c) = 0. What is c?
2
Let t = 4 + -1. Let y = 197 + -194. Solve -2*b**t - b**2 + 6*b**3 - 3*b**3 - y*b**2 = 0.
0, 4
Let o(a) = 13 + 2 - 119*a + 10*a**2 - 25. Let x be o(12). Find b such that -75/8*b - 15/8*b**x - 1/8*b**3 - 125/8 = 0.
-5
Let 496*i**2 + 2*i**4 + 474/7*i**3 - 9144/7*i + 5184/7 = 0. What is i?
-18, 1, 8/7
Suppose -4*i = -17*q + 21*q + 8, 4*q + 8 = i. Find w such that 2*w**3 + i*w**2 + 126*w + 157 + 34*w**2 - 319 = 0.
-9, 1
Let k(y) be the first derivative of -3/4*y**4 - y**3 + 0*y**2 + 1/2*y**6 + 3/5*y**5 + 0*y - 12. What is w in k(w) = 0?
-1, 0, 1
Factor -6377*a + 6049200 - 9842*a + 7699*a + 3*a**2.
3*(a - 1420)**2
Let r(l) be the second derivative of l**6/50 - 33*l**5/100 + 23*l**4/20 + 7*l**3/2 - 2*l + 308. Factor r(u).
3*u*(u - 7)*(u - 5)*(u + 1)/5
Factor -1296*j**2 + 0 - 131220*j**3 - 16/5*j.
-4*j*(405*j + 2)**2/5
Factor -3*h**4 - 47*h + 48 + 0*h**3 + 98*h - 45*h**2 - 51*h**3.
-3*(h - 1)*(h + 1)**2*(h + 16)
Suppose -728 = 1233*q - 5660. Find f such that 1/7*f**5 + f - 8/7*f**3 - 6/7*f**q + 6/7*f**2 + 0 = 0.
-1, 0, 1, 7
Let n(b) be the third derivative of 1/1155*b**7 - 38*b**2 - 1/165*b**5 + 4*b**4 + 0*b + 33*b**3 + 0 - 4/165*b**6. Factor n(p).
2*(p - 11)**2*(p + 3)**2/11
Let 70/19*d - 138/19*d**2 + 66/19*d**3 + 0 + 2/19*d**4 = 0. Calculate d.
-35, 0, 1
Let u(o) be the first derivative of -9/2*o**2 - 15/4*o**4 + 0*o + 3/5*o**5 + 7*o**3 + 48. Factor u(p).
3*p*(p - 3)*(p - 1)**2
Suppose -4*d - 4*w - 268 = 0, -d = -2*w - 3*w + 67. Let g = d - -69. Determine n, given that 2*n**2 - 25 - 30*n - n**2 + 2*n**2 - 8*n**g = 0.
-5, -1
Let l be 11 - ((-6)/33 + (-35908)/(-4136)). Suppose 4*m - 5 = 3. Find r such that -l - 1/2*r**m - 3*r = 0.
-5, -1
Let r(n) be the second derivative of -n**4/96 + 2*n**3/3 - 31*n**2/16 - 92*n + 39. Suppose r(k) = 0. Calculate k.
1, 31
Let x(g) be the second derivative of g**6/2 + 11*g**5/4 - 5*g**4/3 - 1102*g. Suppose x(o) = 0. Calculate o.
-4, 0, 1/3
Let n = 1/597 + 593/2388. Let t(h) be the second derivative of 8/3*h**2 + 11*h + 0 + 4/3*h**3 + 1/60*h**5 + n*h**4. Factor t(j).
(j + 1)*(j + 4)**2/3
Let t(x) = 13 - 15*x - 18 - x**2 + 2*x**2 - 7. Let k be t(16). Factor 3*n**3 + 7*n**5 - 2*n + 4*n**2 - 5*n**2 + n**k - 8*n**5.
-n*(n - 2)*(n - 1)*(n + 1)**2
Let m(b) = -178*b**2 - 88*b + 84. Let v(d) = 533*d**2 + 263*d - 254. Let g(a) = -8*m(a) - 3*v(a). What is z in g(z) = 0?
-1, 18/35
Let f be (7/(-6) - -2)/((-124)/(-744)). Let 0 + 8/3*r**2 - 4/3*r + 1/3*r**f - 2/3*r**4 - r**3 = 0. What is r?
-2, 0, 1, 2
Let p(s) be the first derivative of s**6/18 + 41*s**5/24 + 25*s**4/12 + 43*s**3 + 98. Let j(q) be the third derivative of p(q). Factor j(z).
5*(z + 10)*(4*z + 1)
Let l(j) be the second derivative of 0*j**2 + 0 - 1/200*j**5 + 0*j**4 + 12*j + 3*j**3 + 1/600*j**6. Let w(o) be the second derivative of l(o). Factor w(p).
3*p*(p - 1)/5
Let l = 18923 - 18921. Factor -224/15*d + 8/5 + 186/5*d**l - 54/5*d**3.
-2*(d - 3)*(9*d - 2)**2/15
Let z(p) be the first derivative of -p**7/2940 - 2*p**6/315 - 4*p**5/105 - 7*p**3/3 + 42. Let d(j) be the third derivative of z(j). Factor d(i).
-2*i*(i + 4)**2/7
Let k(q) = q**2 + q - 3. Let i be k(-3). Suppose -2 = -j, j = -i*g + 15 + 44. Factor -g*z**2 + 53*z**2 + 5*z - 19*z**2 - 20*z**2.
-5*z*(z - 1)
Let x be 4/6*-1*(-126)/14. Factor -x*a**2 - 165 - 23*a**3 + 4*a + 25*a + 173 - a - 7*a**4.
-(a - 1)*(a + 2)**2*(7*a + 2)
Let a(q) = 7*q**3 + 166*q**2 - 47*q + 25. Let l be a(-24). Let l + 1/2*g - 1/2*g**2 = 0. Calculate g.
-1, 2
Suppose 2*q = 3*x - 22, q - 7 = -x - 2*x. Let s be (q/15)/((-4)/10). Factor s*g**2 - 1/2 - 1/3*g.
(g - 1)*(5*g + 3)/6
Let l be (-2881)/737 + 36/(-33) + (12 - 3). Let a(t) be the second derivative of -1/9*t**3 - 1/6*t**l + 1/45*t**6 + 1/30*t**5 + 2/3*t**2 + t - 4. Factor a(j).
2*(j - 1)**2*(j + 1)*(j + 2)/3
Let w(p) = -6*p**2 + 3*p + 24. Let a(h) = -7*h**2 + 2*h + 24. Suppose -6*r = 21 - 231. Suppose r = 6*q + 11. Let v(n) = q*w(n) - 3*a(n). Factor v(i).
-3*(i - 4)*(i + 2)
Factor 9*v + 11*v - 112366*v**3 + 112346*v**3 - 5*v**2 + 5*v**4.
5*v*(v - 4)*(v - 1)*(v + 1)
Let x(v) be the first derivative of v**4/30 - 8*v**3/45 - 4*v**2/15 + 32*v/15 - 470. Solve x(y) = 0.
-2, 2, 4
Let b(r) be the first derivative of -4*r**3/17 + 89*r**2/17 + 190*r/17 - 810. Factor b(x).
-2*(x + 1)*(6*x - 95)/17
Suppose 0 - 561/4*y**3 + 187/8*y**4 - 427/2*y**2 - 7/8*y**5 - 49*y = 0. Calculate y.
-1, -2/7, 0, 14
Let m(h) be the third derivative of h**6/24 + 5*h**5/6 - 215*h**4/24 - 130*h**3/3 + 1626*h**2. Solve m(q) = 0 for q.
-13, -1, 4
Let s(f) be the second derivative of -f**5/170 - 232*f**4/17 - 215296*f**3/17 - 99897344*f**2/17 + 5891*f. Determine a, given that s(a) = 0.
-464
Let y(w) be the second derivative of w**6/15 - 47*w**5/10 + 112*w**4 - 2480*w**3/3 - 3200*w**2 - 42*w + 13. Determine s, given that y(s) = 0.
-1, 8, 20
Let y be 98/3 + 0/(-1). Let x = 2110929/226171 - -1/678513. Factor 2/3*z**2 + y + x*z.
2*(z + 7)**2/3
Let b(n) = -11*n**2 - 28*n + 55. Let h(m) = -7*m**2 - 19*m + 36. Let y be -12*(-5)/(-15) - (-11 + -1). Let f(r) = y*h(r) - 5*b(r). Solve f(g) = 0 for g.
-13, 1
Let k(a) be the second derivative of 3/10*a**5 + 4/3*a**3 - 2/15*a**6 + 7 + 0*a**2 - 1/21*a**7 + 5*a + 4/3*a**4. Suppose k(s) = 0. Calculate s.
-2, -1, 0, 2
Let -15609*b**5 - 273*b - 23*b**4 + 15610*b**5 + 27*b**4 - 154*b**2 - 120 + 29*b - 27*b**3 = 0. What is b?
-5, -2, -1, 6
Let v be (15/(-9) - -2)*(19 - 1). Solve -v*r**4 + 6*r**2 + 9*r**2 - 14*r**3 + r**4 + 4*r**3 = 0 for r.
-3, 0, 1
Suppose -2/9*a**4 - 4/9*a**3 + 0 - 16/3*a + 40/9*a**2 = 0. Calculate a.
-6, 0, 2
Let c(k) be the third derivative of k**8/4032 - k**7/252 - k**6/12 + k**5/60 + k**3/3 + k**2 - 12. Let t(g) be the third derivative of c(g). Factor t(n).
5*(n - 6)*(n + 2)
Let 83*r**4 + 205*r**4 - 2184*r**2 + 1900*r**3 - 1045305*r**5 + 1045301*r**5 = 0. Calculate r.
-7, 0, 1, 78
Let u(m) be the first derivative of 5*m**4/24 - 3*m**3/2 + 9*m**2/4 + 9*m/2 + 906. Find j, given that u(j) = 0.
-3/5, 3
Let t(k) be the first derivative of 4*k**3/15 + 24*k**2 + 464*k/5 - 1025. Determine h so that t(h) = 0.
-58, -2
Let t(u) be the second derivative of u**6/60 - u**5/20 - 13*u**4/8 - 6*u**3 + 1360*u. Find b such that t(b) = 0.
-3, 0, 8
Let m = 2/14525 + 24898/14525. Let j(a) be the first derivative of m*a + 22 + 8/21*a**3 - 11/7*a**2. Factor j(h).
2*(h - 2)*(4*h - 3)/7
Let d(m) be the first derivative of -2*m**3 + 146 - 3*m**2 - 1/2*m**4 - 2*m. Determine w, given that d(w) = 0.
-1
Let f(h) = 778*h**2 + 74*h - 5*h**4 + h**4 - 834*h**2 - 14*h**3. Let y(k) = -k**4 - 3*k**3 - 11*k**2 + 15*k. Let n(c) = 3*f(c) - 14*y(c). Factor n(t).
2*t*(t - 2)*(t - 1)*(t + 3)
Suppose 4*f - 11 - 1 = 0. Suppose 4*j - j - 4*s = 9, -5*j + 15 = -f*s. Factor 2*l**2 - 2*l**4 + 19*l**5 + 0*l**4 - 2*l**j - 17*l**5.
2*l**2*(l - 1)**2*(l + 1)
Let i(q) = -12*q**2 - 9*q + 10. Let p = 5 - -4. Suppose -p*n = -n + 32. Let s(z) = -z**2 - z + 1. Let x(k) = n*i(k) + 44*s(k). Factor x(r).
4*(r - 1)**2
Let p(s) be the first derivative of -5*s**6/36 + 19*s**5/180 +