rst derivative of k(t). Factor y(s).
(s - 7)*(s - 1)/3
Let w(t) = t**3 - 4*t**2 + 31*t - 122. Let x be w(4). Factor 8/3 - 22/3*l**2 + x*l**3 + 16/3*l.
2*(l - 2)**2*(3*l + 1)/3
Let q(s) be the second derivative of s**5/70 - s**4/2 + 40*s**3/7 - 100*s**2/7 + 72*s - 27. Factor q(d).
2*(d - 10)**2*(d - 1)/7
Let q = 37 - 25. Let m(l) = 6*l**2 + 6*l - 5. Let r(o) = -259*o + 7*o**2 + 274*o + 8*o**2 - 12. Let f(d) = q*m(d) - 5*r(d). Suppose f(h) = 0. What is h?
-1, 0
Suppose 3*t = -87 - 57. Let y be (-20)/t - (-6)/24. Factor 0*n + 0*n**2 - 4/3*n**4 + 0 + y*n**5 + 2/3*n**3.
2*n**3*(n - 1)**2/3
Let z(i) be the third derivative of -i**8/2688 + 13*i**7/80 + 551*i**6/480 + 829*i**5/240 + 369*i**4/64 + 277*i**3/48 + 95*i**2. Solve z(h) = 0 for h.
-1, 277
Let m(a) be the first derivative of 13*a**4/4 + 11*a**3/2 - 3*a**2 + 111*a - 122. Let w(c) be the first derivative of m(c). Factor w(f).
3*(f + 1)*(13*f - 2)
Let n(s) = -45*s**3 - 529*s**2 - 435*s + 43. Let l(a) = -45*a**3 - 528*a**2 - 435*a + 41. Let m(j) = -6*l(j) + 7*n(j). Factor m(v).
-5*(v + 1)*(v + 11)*(9*v - 1)
Suppose -p - 9 = -r, -10*p + 5*p = -8*r + 54. Let x(g) be the first derivative of 8 - 1/4*g**4 + 0*g - 1/3*g**r + g**2. Factor x(k).
-k*(k - 1)*(k + 2)
Let z be 3/27*-4 + ((-3)/9)/(657/(-4380)). Solve 8*y**2 - z + 10/9*y**3 - 22/3*y = 0.
-8, -1/5, 1
Factor -273*k**2 - 4290 + k**3 - 4*k**3 + 4290 - 132*k - 138*k.
-3*k*(k + 1)*(k + 90)
Suppose 2*r - 13*x + 25*x - 7*x = -56, -60 = 5*x. Factor 0 + 2/3*m**4 - 2*m**r + 4/3*m**3 + 0*m.
2*m**2*(m - 1)*(m + 3)/3
Let f be (46/(-8))/(-5*(-9)/(-1080)). Let v = 140 - f. Factor 1/4*m**4 - 1/4*m**v + 1/4*m**3 - 1/4*m + 0.
m*(m - 1)*(m + 1)**2/4
Let k(w) be the second derivative of w**9/7560 - w**8/1120 + 17*w**4/4 - 29*w. Let g(b) be the third derivative of k(b). Suppose g(o) = 0. What is o?
0, 3
Suppose -5*d - 488 = -3*h, 5*d + 4*h + 137 = -379. Let t = -95 - d. What is i in -21*i - 46*i**3 + 5*i**4 + t*i**3 + 5*i**5 - 4*i**3 + 55*i**2 + i = 0?
-4, 0, 1
Let u = -64482 - -64484. Suppose -1/2*x**u - 6*x - 11/2 = 0. What is x?
-11, -1
Let g(l) be the third derivative of -l**5/30 + 7*l**4/8 - 53*l**3/6 + l**2 + 277. Let b be g(5). Factor -1/3*q**5 + 0 + 0*q - q**4 - q**3 - 1/3*q**b.
-q**2*(q + 1)**3/3
Let l(x) be the first derivative of -6*x - 75/2*x**4 + 17/4*x**5 + 540*x**2 + 90*x**3 - 1/6*x**6 - 1. Let a(r) be the first derivative of l(r). Factor a(o).
-5*(o - 6)**3*(o + 1)
Suppose 55*n = 5*t + 51*n - 16, -2*t = -n - 7. Let u(s) be the second derivative of -1/8*s**3 + 1/48*s**4 - 1/2*s**2 + 0 - t*s. What is i in u(i) = 0?
-1, 4
Let x be (-231)/(-11)*((-2760)/126 + 22). Determine i, given that 11/2*i**3 + x - 31/2*i**2 + 8*i = 0.
-2/11, 1, 2
Suppose -3*i + 1238 = q, 355 = 4*i - 2*q - 1309. Let j = i + -412. Factor 0 + v**3 + 2/3*v**4 + 1/3*v**j + 0*v.
v**2*(v + 1)*(2*v + 1)/3
Let n(k) be the first derivative of 5*k**6/24 + 2*k**5 - 25*k**4/8 - 10*k**3/3 + 45*k**2/8 - 4504. Solve n(h) = 0 for h.
-9, -1, 0, 1
Let i(d) be the second derivative of 0 + 7/6*d**4 + 8*d**2 + 1/150*d**6 + 10/3*d**3 + 11/75*d**5 + 7*d. Let q(z) be the first derivative of i(z). Factor q(t).
4*(t + 1)*(t + 5)**2/5
Let p = -704273 + 704277. Factor 0*w + 0 - 4/3*w**p - 8*w**3 - 12*w**2.
-4*w**2*(w + 3)**2/3
Let h(m) = -2*m**3 + 6*m**2 - 31*m + 2. Let i be h(0). What is w in -1/8*w**3 + 0*w**i + 1/8*w + 0 = 0?
-1, 0, 1
Let w(p) = -p**2 - 524*p - 5135. Let c be w(-10). Solve 8/5*l - 11*l**2 + 0 + 57/5*l**3 + 16/5*l**c + 136/5*l**4 = 0 for l.
-8, -1, 0, 1/4
Let c(n) = 7*n**3 + 23*n**2 - 803*n - 5997. Let j(x) = -8*x**3 - 24*x**2 + 804*x + 5996. Let w(r) = 4*c(r) + 3*j(r). Factor w(p).
4*(p - 15)*(p + 10)**2
Let h(v) = v**3 + v + 68. Let t be h(0). What is q in 493*q + 159*q + 69*q**2 + 51*q**2 + 5*q**3 + t*q = 0?
-12, 0
Let m be 1 + (2 - -2) + 23. Suppose -5*s + 5*x = -5, -m*s + 30*s = -3*x - 3. Factor 0*n + s - 1/6*n**2.
-n**2/6
Let f = -7685/6 + 1281. Let u(h) be the first derivative of 1/2*h**4 - 1/5*h**5 + 6 + 0*h + 0*h**2 + 0*h**3 - f*h**6. Factor u(p).
-p**3*(p - 1)*(p + 2)
Let y(j) be the first derivative of -5*j**8/336 + j**7/14 - j**6/12 - j**2/2 + 107*j + 109. Let u(g) be the second derivative of y(g). Solve u(k) = 0.
0, 1, 2
Let m be (-1074)/(-45) + 38/285. Let v = 17 - 10. Find x such that -8*x**2 - 6*x - v*x**2 - m + 0*x**2 + 18*x**2 = 0.
-2, 4
Let y(w) be the third derivative of 13/48*w**4 + 0*w - 1/160*w**5 - 104*w**2 - 17/48*w**3 + 0. Factor y(r).
-(r - 17)*(3*r - 1)/8
Suppose 0 = -36*g - 150 - 174. Let z be 9/21 - g/(-189)*-33. Let -36/13*a - 2/13*a**z - 162/13 = 0. Calculate a.
-9
Let f = -65960 - -989402/15. Factor f*w**5 - 4/15*w**3 + 2/15*w + 2/15*w**4 - 4/15*w**2 + 2/15.
2*(w - 1)**2*(w + 1)**3/15
Let v(o) be the first derivative of o**6/66 - 4*o**5/55 - o**4/44 + 16*o**3/33 - 6*o**2/11 - 1804. Determine j so that v(j) = 0.
-2, 0, 1, 2, 3
Let s(w) be the second derivative of w**5/30 + 11*w**4/9 + 8*w**3 - 7635*w. Determine y so that s(y) = 0.
-18, -4, 0
Suppose 46*u = 154 + 30. Solve 3*y**5 + 599*y**2 + 886*y**2 + 66*y**u + 2163*y + 307 + 575 + 522*y**3 + 255*y**2 = 0.
-7, -6, -1
Let o(z) be the first derivative of -1/2*z**6 - 24/5*z**5 - 36*z + 63/2*z**4 - 68*z**3 + 76 + 141/2*z**2. Suppose o(l) = 0. Calculate l.
-12, 1
Let l(d) be the second derivative of -d**5/50 + 26*d**4/3 - 1187*d + 1. Factor l(q).
-2*q**2*(q - 260)/5
Let d(u) be the first derivative of -u**6/21 + 8*u**5/35 + 15*u**4 - 616*u**3/3 + 833*u**2 - 284. Factor d(y).
-2*y*(y - 7)**3*(y + 17)/7
Factor -3/5*r**2 - 39/5*r + 342/5.
-3*(r - 6)*(r + 19)/5
Suppose -2*f = -605*b + 607*b - 2, -b - 4 = -4*f. Factor -20/9*n**2 + b - 4/9*n**5 + 4/3*n**3 + 4/9*n**4 + 8/9*n.
-4*n*(n - 1)**3*(n + 2)/9
Let m(d) be the third derivative of d**5/105 + 505*d**4/42 - 2*d**2 + 907*d. Factor m(x).
4*x*(x + 505)/7
Let d(x) = 39*x**2 + 930*x - 43253. Let t(w) = 245*w**2 + 5580*w - 259520. Let g(u) = 25*d(u) - 4*t(u). Factor g(y).
-5*(y - 93)**2
Factor 2/5*q**2 + 66978/5 + 732/5*q.
2*(q + 183)**2/5
Suppose 3*l - 21 + 15 = -2*x, 0 = 5*l - 2*x - 26. Let q be ((-8)/6)/(20/(-3) + l). Factor -1/4*a**4 - 3/4*a**3 - 1/4*a**2 + 3/4*a + q.
-(a - 1)*(a + 1)**2*(a + 2)/4
Factor 32/9 + 2/9*q**4 + 74/9*q**2 - 28/3*q - 8/3*q**3.
2*(q - 8)*(q - 2)*(q - 1)**2/9
Let o = -1480 + 825. Let z = -653 - o. Factor -1/3*u**4 + 1/3*u + 0 + 1/3*u**z - 1/3*u**3.
-u*(u - 1)*(u + 1)**2/3
Let a(l) be the first derivative of -l**6/480 + 10*l**3 + l**2 - 75. Let p(f) be the third derivative of a(f). Determine h so that p(h) = 0.
0
Factor 5148*t**2 + 6192*t**2 + 860 + 3679*t**2 + 6431*t**2 + 37*t**3 - 162*t**3 + 8595*t.
-5*(t - 172)*(5*t + 1)**2
Determine m, given that 415/4 + 5/4*m**2 + 105*m = 0.
-83, -1
Let o(n) be the third derivative of 0*n - n**4 + 1/60*n**5 + 6 + 11*n**2 + 0*n**3. Factor o(q).
q*(q - 24)
Factor -2*g**4 - 48/11*g**3 + 0 + 72/11*g**2 - 2/11*g**5 + 0*g.
-2*g**2*(g - 1)*(g + 6)**2/11
Let r(g) be the third derivative of -3*g**7/70 + 37*g**6/60 - 151*g**5/60 + 5*g**4/4 - 5267*g**2. What is u in r(u) = 0?
0, 2/9, 3, 5
Let h(a) be the second derivative of -1/16*a**4 + 1/80*a**5 + 0 - 5/2*a**2 + 1/160*a**6 + 20*a + 0*a**3. Let l(k) be the first derivative of h(k). Factor l(r).
3*r*(r - 1)*(r + 2)/4
Solve 26/7*h - 2/7*h**2 - 80/7 = 0 for h.
5, 8
Let z(r) be the first derivative of 8*r**3 + 290*r**2 - 500*r - 3260. Factor z(n).
4*(n + 25)*(6*n - 5)
Let o(x) be the third derivative of -4/135*x**6 + x + 0*x**5 + 0*x**4 + 0 - 8/315*x**7 - 1/168*x**8 + 4*x**2 + 0*x**3. What is w in o(w) = 0?
-4/3, 0
Let p be 13420/330 + -37 + 7. Suppose -12 + p*d + 4/3*d**2 = 0. What is d?
-9, 1
Let n(f) be the second derivative of -f**5/50 + 11*f**4/15 + 233*f**3/15 + 42*f**2 - f + 637. What is m in n(m) = 0?
-7, -1, 30
Find t such that -139/2*t**2 - 10*t**3 - 216 - 204*t - 1/2*t**4 = 0.
-9, -4, -3
Let q(y) be the third derivative of -y**8/840 - y**7/60 + 103*y**3/6 - 95*y**2. Let j(x) be the first derivative of q(x). Determine w, given that j(w) = 0.
-7, 0
Let v(x) = x**2. Let g(u) = u**2 + 48*u - 288. Suppose 3*o = -11 + 8. Let s(d) = o*g(d) + 3*v(d). Factor s(j).
2*(j - 12)**2
Let j = -17/4407 + 105887/30849. Factor 27/7 - 69/7*s**2 + j*s**3 + 48/7*s**4 - 18/7*s.
3*(s + 1)**2*(4*s - 3)**2/7
Let k be (-217)/(-620) + (5 + -6)/4. Let w(s) be the first derivative of 