1/20*q**5 - 1/42*q**7 + 14*q. Factor j(u).
-u**3*(u - 1)*(u + 1)
Suppose -130/3*i**3 + 1/3*i**4 + 3373/3*i**2 + 18460*i + 60492 = 0. Calculate i.
-6, 71
Let f(j) be the third derivative of 1/1080*j**6 + 0*j + 0 + 10/3*j**3 - 14*j**2 + 1/8*j**4 - 1/60*j**5. Let m(x) be the first derivative of f(x). Factor m(v).
(v - 3)**2/3
Let k(z) be the third derivative of 1/1155*z**7 + 0 - 5/132*z**4 + 1/132*z**6 + 3*z - z**2 - 2/11*z**3 + 1/66*z**5. Let k(l) = 0. Calculate l.
-3, -2, -1, 1
Let v = 44 + -23. Suppose 17*n**2 - 8*n**2 + 2*n**5 - v*n**2 - 22*n**3 - 8*n**4 = 0. What is n?
-1, 0, 6
Factor -574/5*p - 378/5*p**2 + 4/5*p**3 - 192/5.
2*(p - 96)*(p + 1)*(2*p + 1)/5
Suppose -5*q - 33 - 18 = -2*u, -4*q + 2*u = 42. Let p = q + 12. Factor 9*o - o - 2*o**p - 2*o**3 + 4*o**2.
-4*o*(o - 2)*(o + 1)
Let i = 5789 - 9991815/1726. Let h = 3469/29342 + i. Let h*q**3 - 16/17 + 24/17*q - 12/17*q**2 = 0. Calculate q.
2
Let m(l) be the third derivative of l**6/60 + 3*l**5/10 - 19*l**4/4 - 65*l**3/3 + 7*l**2 + 12*l. Suppose m(c) = 0. Calculate c.
-13, -1, 5
Let y be 74/370*5*3. Determine r so that -y*r**2 + 1534 + 5*r + 20*r - 799 - 780 - r = 0.
3, 5
Let l(w) be the first derivative of -w**5/420 + w**4/168 + 5*w**2/2 + 7*w - 205. Let v(m) be the second derivative of l(m). Factor v(p).
-p*(p - 1)/7
Let v(n) be the third derivative of 1/30*n**5 - 104*n**2 + 0*n**3 - n - 1/45*n**4 + 2/225*n**6 + 0 - 1/630*n**8 - 1/105*n**7. Find f such that v(f) = 0.
-4, -1, 0, 1/4, 1
Let i(c) be the second derivative of -c**9/1512 - c**8/280 + c**6/45 + c**3 - c**2/2 + 77*c. Let x(l) be the second derivative of i(l). Factor x(s).
-2*s**2*(s - 1)*(s + 2)**2
Let l(d) be the first derivative of -2/11*d**4 - 1/33*d**6 - 7 + 0*d**2 + 0*d - 2/11*d**5 + 0*d**3. Factor l(o).
-2*o**3*(o + 1)*(o + 4)/11
Let r(z) be the third derivative of -1/90*z**5 + 0*z - 3*z**3 - 1/3*z**4 + 10*z**2 + 0. Find i, given that r(i) = 0.
-9, -3
Let s(t) = 3*t**2 + 3*t - 2. Let i be s(-4). Let j = 39 - i. Solve 66*f**3 + 5*f**j - 60*f**3 - 6*f**4 - 3*f**5 - 2*f**2 = 0 for f.
0, 1
Let q(t) be the third derivative of 8*t**7/805 + 73*t**6/1380 + 5*t**5/46 + 9*t**4/92 + t**3/69 + 1118*t**2. Let q(l) = 0. What is l?
-1, -1/24
Suppose 0 = -12*x + 14*x - 48. Factor -6*n**2 + 2*n**4 - 6*n**2 - x*n + 10*n**3 - 4*n**2.
2*n*(n - 2)*(n + 1)*(n + 6)
Let u(z) = -8*z**3 - z**2 + z + 1. Let q be u(-1). Let w(s) = 8*s**2 - 44*s - 46. Let a(f) = -9*f**2 + 45*f + 47. Let o(x) = q*w(x) + 6*a(x). Factor o(b).
2*(b - 20)*(b + 1)
Let q(u) be the second derivative of -u**9/98280 - u**8/10920 - 13*u**4/12 + 4*u**2 - 10*u - 2. Let t(d) be the third derivative of q(d). Factor t(c).
-2*c**3*(c + 4)/13
Factor 11/5*l**3 - 12/5*l + 0 - 1/5*l**2.
l*(l + 1)*(11*l - 12)/5
Let c be 2023/(-2040) - 5/25*-5. Let f(n) be the third derivative of 34*n**2 + 1/720*n**6 + 0 - c*n**5 + 0*n**4 + 0*n + 1/9*n**3. Factor f(r).
(r - 2)**2*(r + 1)/6
Let q(u) = -2*u**5 + 9*u**4 - u**3 + 3*u**2. Let m(n) = -6*n**5 + 26*n**4 - 4*n**3 + 8*n**2. Let j(o) = 3*m(o) - 8*q(o). Find p, given that j(p) = 0.
0, 1, 2
Let f(b) be the third derivative of 3*b**8/112 - 193*b**7/35 + 51*b**6/8 + 32*b**5/5 - 6589*b**2. Let f(i) = 0. Calculate i.
-1/3, 0, 1, 128
Let i(a) be the second derivative of a**7/70 - 72*a**6/25 + 423*a**5/25 - 28*a**4 - 1107*a. Suppose i(n) = 0. Calculate n.
0, 2, 140
Let i(x) be the third derivative of -x**6/60 - 247*x**5/30 - 5125*x**4/4 - 5043*x**3 - 1544*x**2. Factor i(h).
-2*(h + 1)*(h + 123)**2
Suppose -6*c + 4*c = -4. Let b be (1 - c)*5/(25/(-15)). Factor 9*u**4 - 6*u**4 + 7*u**b - 13*u**3.
3*u**3*(u - 2)
Let m = 478869 - 478869. What is z in m + 2/3*z**5 - 4/3*z**3 + 2/3*z + 0*z**4 + 0*z**2 = 0?
-1, 0, 1
Let o(u) be the second derivative of u**5/80 - u**4/6 - 191*u**3/24 - 171*u**2/4 + 3341*u. Factor o(n).
(n - 19)*(n + 2)*(n + 9)/4
Let a(x) = -12*x**3 + 150*x**2 + 954*x + 9. Let o(i) = -5*i**3 + 75*i**2 + 476*i + 4. Let p(g) = -4*a(g) + 9*o(g). Find f such that p(f) = 0.
-13, -12, 0
Let z be 480/(-22 - -12)*((-1458)/180 + 8). Factor -4*w**3 - 4/5*w**4 + 16/5*w - z*w**2 + 32/5.
-4*(w - 1)*(w + 2)**3/5
Let i(u) = 2881*u**3 + 3*u**2 + 1. Let x be i(2). Find r, given that 26*r**2 - x*r**3 + 23077*r**3 + 4*r**4 + 12*r - 2*r**4 = 0.
-6, -1, 0
Suppose 0 = -34*t + 50 + 562. Let m be (0 - 14/3)/((-60)/t). Solve -m*d**2 - 9/5 - 3*d - 1/5*d**3 = 0.
-3, -1
Let w(a) be the first derivative of a**7/420 + a**6/36 - a**5/10 - 91*a**3/3 + 43. Let x(b) be the third derivative of w(b). Factor x(l).
2*l*(l - 1)*(l + 6)
Let v(o) be the third derivative of -o**7/1050 - 7*o**6/300 - 6*o**5/25 - 4*o**4/3 - 64*o**3/15 + 18*o**2 + 96. Find p such that v(p) = 0.
-4, -2
Let q be 0 + 6/39 + 228/(-10374)*7. Let -2/3*u**3 + q - 14/9*u**2 + 2/3*u**4 + 2/9*u**5 + 4/3*u = 0. Calculate u.
-3, -2, 0, 1
Let z(l) be the first derivative of -3/5*l**5 - 154 + 0*l**2 - 2/3*l**3 + 1/12*l**6 + 9/8*l**4 + 0*l. Factor z(u).
u**2*(u - 4)*(u - 1)**2/2
Let h(i) be the third derivative of 1/224*i**8 + 0 + 0*i**4 + 0*i - 1/15*i**7 + 5/12*i**5 + 0*i**3 + 11/48*i**6 + 64*i**2. What is w in h(w) = 0?
-2/3, 0, 5
Suppose 0 = -16964*x + 16975*x - 22. Let v(f) be the first derivative of 15 + 3/2*f**x - 3/4*f**4 + 6*f + 3/5*f**5 - 3*f**3. Factor v(b).
3*(b - 2)*(b - 1)*(b + 1)**2
Let r(x) = 2*x**2 - x - 3. Let f(b) = -33*b**2 - 525*b + 249. Let t(o) = f(o) + 3*r(o). Find z such that t(z) = 0.
-20, 4/9
Let z = -510 + 744. Let n be 3/(0 + 1) + z/(-156). Solve -9/2*x - 1/2*x**4 + 0 + 5/2*x**3 - n*x**2 = 0.
-1, 0, 3
Let q = 415 + -412. Let u(v) be the third derivative of 0*v**5 + 0*v**q + 0*v + 1/24*v**6 + 35*v**2 - 5/24*v**4 + 0. Factor u(j).
5*j*(j - 1)*(j + 1)
Suppose -64 = -2*p + 2*f, -14*p - f - 90 = -17*p. Factor -p*g - 3*g**2 - 11*g - 4107 - 36*g - 146*g.
-3*(g + 37)**2
Suppose -5*i + 13375 = 20*i. Solve 3*d**4 + 52816 - 379*d**3 + 26364*d + 3042*d**2 + 32867 + i*d**3 = 0.
-13
Let z = -53 + 55. Suppose z*w - 2*w = w. Suppose -15 + 42*v**2 - 47*v**2 + 20*v + w*v = 0. What is v?
1, 3
Let f(o) be the first derivative of o**4/20 - 4*o**3/5 + 29*o**2/10 - 18*o/5 + 864. Factor f(w).
(w - 9)*(w - 2)*(w - 1)/5
Let j(c) = 5*c**4 + 37*c**3 + 80*c**2 - 957*c + 1155. Let w(u) = 24*u**4 + 186*u**3 + 408*u**2 - 4786*u + 5774. Let g(r) = 14*j(r) - 3*w(r). Factor g(l).
-2*(l - 2)**2*(l + 12)**2
Let x(v) = v**2 - 4*v. Let i(s) be the first derivative of -4*s**3/3 + 25*s**2/2 - 6*s - 182. Let h(f) = 4*i(f) + 20*x(f). Factor h(y).
4*(y - 1)*(y + 6)
Let f(i) = i**4 + 51*i**3 + 789*i**2 - 853*i. Let m(v) = -3*v**4 - 154*v**3 - 2366*v**2 + 2557*v. Let b(w) = -17*f(w) - 6*m(w). Solve b(o) = 0 for o.
-29, 0, 1
Let y = 501005/2 - 250492. Determine o so that 1/2*o**3 - 9 - 4*o**2 + y*o = 0.
2, 3
Let k(z) be the second derivative of z**9/30240 - z**7/5040 + z**4/12 - 37*z**3/6 + 31*z + 3. Let i(y) be the third derivative of k(y). Factor i(x).
x**2*(x - 1)*(x + 1)/2
Suppose -3*b + 18 = 4*t, 2*t + b = 2*b + 4. Factor 24*x - t + 19*x - 45*x + 3*x**2 - 2*x**2.
(x - 3)*(x + 1)
Let 27497230*y**3 + 4844*y**2 + 201*y + 120 + 1555*y - 27498270*y**3 = 0. Calculate y.
-1/4, -6/65, 5
Let p(q) be the third derivative of 0*q**3 + 1/350*q**7 + 3/25*q**5 + 1/25*q**6 + 0*q + 90*q**2 + 0*q**4 + 0. Find t such that p(t) = 0.
-6, -2, 0
Let a(f) be the third derivative of -1/6*f**4 + 1/30*f**6 + 2/3*f**3 + 9*f**2 + 0 + 0*f - 1/15*f**5. Factor a(s).
4*(s - 1)**2*(s + 1)
Suppose g - 12 = -4*x, x + g - 5 = -2. Suppose 0 = 11*d + x*d. Suppose -i**5 + i**3 + 1/2*i**2 - 1/2*i**4 + 0 + d*i = 0. Calculate i.
-1, -1/2, 0, 1
Let s(y) be the first derivative of 22/7*y**3 + 44 + 12/7*y - 31/7*y**2. Find m such that s(m) = 0.
3/11, 2/3
Suppose -9*w - 3*n + 33 = 0, -4*n + 44 = -70*w + 67*w. Suppose 3/11*m + 1/11*m**3 - 4/11*m**5 + 7/11*m**2 + w - 7/11*m**4 = 0. What is m?
-1, -3/4, 0, 1
Let j(y) = 78*y + 5853. Let l be j(-75). Let t(r) be the first derivative of 2/27*r**l - 7/9*r**2 - 24 + 0*r. Suppose t(g) = 0. What is g?
0, 7
Suppose -3*n + 1272 = 2*t + 144, -6 = 3*n. Let v be 783/t + 2/6. Let -57/7*h**2 + v*h + 12/7 - 45/7*h**4 - 102/7*h**3 = 0. What is h?
-1, -2/3, 2/5
Let i(h) be the second derivative of -h**6/75 - 18*h**5/25 - 34*h**4/15 + 10170*h. Factor i(q).
-2*q**2*(q + 2)*(q + 34)/5
Suppose 12*d = 4*d - 776. Let u = d + 99. Factor 36*o**3 - 352*o**u + 