 54. Let i = -26 + o. Suppose i + 8 = 3*c. What is the least common multiple of 22 and c?
110
Suppose u + 3*h = -3*u - 1, -u + 4*h = 5. Calculate the common denominator of -15/8 and u/(-24) - (-4)/(-24).
8
Let y(m) = 15*m - 3. Let d be y(3). Suppose -2*o = -2, 2*u - d = -5*o + 3*o. Suppose 0*f - f = -10. Calculate the lowest common multiple of f and u.
20
Suppose -4*c - 43 = 29. What is the common denominator of 49/9 and (c/(-9))/((-11)/4)?
99
Suppose 2*v - 16 = -s, -6*s + s - 24 = -3*v. Let h be 12/15 + 32/10. Calculate the least common multiple of v and (-301)/(-28) + (-3)/h.
40
Let u = 2 + 0. Suppose -2*w - 3*g = -96, 4*g = u*w - 0*g - 68. Let s(f) = -f**2 - 16*f - 21. Calculate the least common multiple of w and s(-13).
126
Suppose q - 2*d + 12 = -7*d, -15 = 5*d. Suppose -17*w + 20*w - 9 = 0. Calculate the smallest common multiple of (-234)/(-7) + 4*w/(-28) and q.
33
Suppose 200 = 6*q + 56. Calculate the smallest common multiple of q and 44.
264
Let g = 819/2 - 1279/3. Calculate the common denominator of 29/3 and g.
6
Let f = 70 - 55. What is the least common multiple of (-1)/(-6)*f*2 and 15?
15
Suppose -12 = -5*t + 6*t. Let d = 23 + t. What is the lowest common multiple of 4 and d?
44
Let d = -81 + 87. Find the common denominator of 2*(-38)/212*d/12 and -103/12.
636
Let u = 118 - 73. Calculate the common denominator of -1/18 and (13/5)/(10/u).
90
Let n = 136 + -134. Calculate the smallest common multiple of n and 6.
6
Suppose 4*j = -j. Find the common denominator of (-300)/16*2/11 and j/3 + 318/(-60).
110
Let w = 51 - 21. Let x be (-46408)/w - 2/(-15). Let m = x - -1555. What is the common denominator of m and -29/6?
30
Suppose 18*a - 119 - 43 = 0. Let v(n) = n**2 + n - 4. Calculate the lowest common multiple of v(-4) and a.
72
Suppose 9*b = 5 + 40. Suppose -162 = -5*v - a - 1, 4*a - 164 = -b*v. Calculate the common denominator of v and 49/4.
4
Let m = -20/387 + -12491/5418. What is the common denominator of 69/8 - 3/(-12) and m?
56
Let q be ((-13)/(-2))/((-2)/(-4)). Suppose -c = 2*j - q, -j - 11 + 40 = 5*c. What is the smallest common multiple of 4 and j/6 - (-217)/21?
44
Suppose 4*t + 5*g - 19 = 0, t - 3*g = 7 + 19. Suppose t*v - 6 = 8*v. What is the lowest common multiple of 11 and v?
22
Suppose 0 = -5*f + 197 - 37. Suppose -3*v + f = v. Suppose 4*n - 64 = -4*h, h + 5*n + 4 - 20 = 0. What is the smallest common multiple of h and v?
16
Suppose 192 = -2*r - 0*r. Find the common denominator of 2 - ((11 - 12) + 95/6) and 2*3/r*170.
24
Let c(p) = -27*p - 260. Suppose 0 = 5*k + 223 - 1038. What is the least common multiple of c(-10) and k?
1630
Calculate the lowest common multiple of 4 and (-54)/4*(64/(-6))/8.
36
Let a = 1339 + -1315. Calculate the least common multiple of 60 and a.
120
Let r = 10511/4 - 2615. What is the common denominator of r and 5 - (6/(-864)*-292 + 4)?
36
Let y = 7243/36 + -1006/5. Find the common denominator of y and 169/270.
540
Let o(f) = -2*f**2 - 8*f + 4. Let m be o(-5). Let t be m + 10 + -1 + 7. Find the common denominator of 119/18 and (t/(-50))/(4/(-38)).
90
Let y = -2499/8 - -313. Let v = -1597777/365296 + -319/1264. Let n = 3/2312 + v. Find the common denominator of y and n.
8
Let y(a) = 10*a**2 + 6*a - 66. Calculate the lowest common multiple of y(6) and 120.
1320
Suppose -1 = x - 2*h + 5, 2*x = h. What is the lowest common multiple of x and (-6464)/(-120) - ((-146)/(-30) - 5)?
54
Let x = -2079 - -2081. What is the least common multiple of x and 108?
108
Let u be -1 - (-1 + (-69)/(-24)). Let b = -105559/20600 - 2/2575. Let t = b - u. What is the common denominator of t and 85/14?
28
Let w = 844767922945/2147856 - 34217836/87. Let g = w + -1/1543. What is the common denominator of g and (-2 - 2/(-4))*1022/(-210)?
80
Suppose 0 = 15*g + 10*g - 1825. What is the least common multiple of g and 3?
219
Let s(o) = -11*o**3 - o**2 + 2. Let m be s(-2). Let k = m + -46. Suppose -f - f = -k. What is the lowest common multiple of f and 20?
20
Suppose -308 = -12*a - 2*a. Calculate the lowest common multiple of a and 4.
44
Let q(o) = -2*o - 6. Let c be q(0). Find the common denominator of (((-20)/c)/(-5))/((-224)/(-1659)) and 81/20.
80
Suppose -5*b + 24 + 51 = 0. Suppose -b = -3*j, 5*s - s + 3 = 3*j. Calculate the lowest common multiple of 3 and s.
3
Let f(q) = -q**2 + 14*q**2 + 18 + 12*q - 54*q**3 + 55*q**3. Calculate the lowest common multiple of f(-12) and 18.
18
Let t be (4 - 1) + 2 - 2. Suppose t*f + o = 4*f - 25, 5*o - 43 = -f. Let c = f - 6. What is the least common multiple of 1 and c?
22
Let g(f) = -24*f - 30. Calculate the least common multiple of g(-2) and 21.
126
Suppose -4*a - 2 = -2*w + a, w - 23 = -3*a. Suppose 12 = -0*u + 4*u. Let z = 2 + u. What is the lowest common multiple of w and z?
55
Let g = -176 - -196. Calculate the smallest common multiple of g and 1504.
7520
Let t be (1 - 1)/(1 - -1). Suppose m = q - 2465, 0 = -2*q - t*q - 3*m + 4950. Find the common denominator of (-4)/(-18) + q/(-54) and 97/4.
4
Calculate the common denominator of -23/28 and 90/(-448) + 20/28.
224
Let i = 37 - -6. Let o = 71 - i. Find the common denominator of 31/9 and 104/(-33) + o/(-154).
9
What is the common denominator of 39/37 and 36/111*360/160?
37
Let c be 0 - ((-5844886)/(-440) - 12/66). Let l = c - -13280. Calculate the common denominator of l and -41/10.
20
Let o be 15/(-20) + (-397)/4. Let f be 0/(-1) + (-4204)/42. Let k = o - f. Find the common denominator of k and -23/3.
21
Calculate the lowest common multiple of ((-2)/5)/((-21)/19215) and 3.
366
Let q = 285/11 + -799/44. What is the common denominator of (-47)/12*(-18)/(-12) and q?
8
Let n(i) = i**3 - 33*i**2 - 71*i + 51. Suppose -3*p + 30 = 3*c, 4*c + c = -3*p + 34. What is the smallest common multiple of n(35) and p?
16
Let j = 302/2525 - 1530603/3191600. Let u = j - 16/79. Calculate the common denominator of -62/9 and u.
144
Let l(j) = j**3 + 6*j**2 - 8*j - 34. What is the least common multiple of 36 and l(-6)?
252
Let l(f) = -15 - 270*f + 271*f - 4 + 5. What is the smallest common multiple of 12 and l(26)?
12
Let r be -2 + (-9)/((-8244)/1904). Let g = r + -5977/3206. Let f = -975 - -5831/6. What is the common denominator of f and g?
42
Let b = -3479/24 - -443/3. Find the common denominator of (-14)/12 - 1320/(-99) and b.
24
Let f(y) be the second derivative of -7*y**5/20 + y**4/6 + 5*y**3/6 + 3*y**2 - 16*y. What is the lowest common multiple of 18 and f(-2)?
180
Let z be 3/2 + 72150/(-440). Let s = -649/4 - z. Find the common denominator of s and 43/8.
88
Let g = -1065183/40 + 26623. Let r = 259/20 + g. Calculate the common denominator of r and (-20)/(-8)*53/(-5).
8
Suppose -71*s = -78*s - 9968. Let d = -76751/56 - 1549/28. Let q = s - d. What is the common denominator of -4/5 and q?
40
Suppose -4*m - 18*v + 32 = -13*v, 0 = 3*m - 2*v - 24. Calculate the common denominator of (-15)/(9 - 4) + (-34)/m and 125/6.
12
Suppose 0 = -2*b - 2*x - 10, 4*b + x + 2*x = -20. Let w be (-1127)/(-35) - (-1)/b. Suppose -3*l = l - w. What is the smallest common multiple of l and 18?
72
Let q = 34513 - 1725587/50. Calculate the common denominator of q and 1/410.
2050
Let n(t) = 18*t - 22*t + 2 - 8. What is the lowest common multiple of 3 and n(-4)?
30
Let w(q) = -q**3 - 3*q**2 - 3*q + 2. Calculate the least common multiple of 34 and w(-3).
374
Find the common denominator of -53/27 and (-453)/(-48)*30/(-450).
2160
Suppose -3*c = h + 2*h - 48, 0 = 5*c. Let l(t) = -t**3 + 4*t**2 - 6*t + 6. Calculate the smallest common multiple of l(2) and h.
16
Suppose -3*j + 60 = -0*j. Let t = -35 + 38. Calculate the lowest common multiple of t/(-12) - 178/(-8) and j.
220
Let n = 8755/6 + -1483. Let z = -2417648 - -21730159/9. Let x = 3179 + z. Find the common denominator of x and n.
18
What is the common denominator of (-4)/50 - (11 + (-27705)/2250) and 74/93?
930
Let z(f) = f**2 - 14*f + 28. Let t(v) = v**2 - 15*v - 4. Let u be t(16). Calculate the least common multiple of 14 and z(u).
28
Let g be (-22)/8 + (-39)/(-52). Find the common denominator of -3 + (g - 432/(-44)) and 594/(-84) + (-2)/4.
77
Let m be (-61)/(-5) + (-9)/45. Find the common denominator of m/20 - 114/(-90) and 27/4.
60
Suppose -2*r - 3*r = -5*w + 40, r + 1 = 0. Let c(y) = -6*y - 4. What is the least common multiple of c(-2