 be (-6)/(-262)*66061/1116. Let h = n - -8/131. Find the common denominator of h and -37/36.
36
Let d be (6/(-5))/((-4)/70). Calculate the smallest common multiple of 48 and 36/d*(-882)/(-36).
336
Let l = -97/15 - -41/3. What is the common denominator of l and 17/50?
50
Find the common denominator of 582/144 + (-84)/(-72) and -115/286.
3432
Suppose -54 = -2*s - 34. Suppose -59 = -s*q + 101. Suppose 0 = 3*a - 14 - 40. Calculate the smallest common multiple of q and a.
144
Suppose -4*g + 0*g = -120. Suppose 6*y = 90 + g. Let n(u) = 2*u**3 + 11*u**2 - 8*u + 2. Calculate the smallest common multiple of n(-6) and y.
140
Suppose 0 = 9*t + 41 - 185. Let g = -20227/8 - -2534. Find the common denominator of g and (-2191)/(-756) + (-4)/t.
216
Let c be -3 + (-3)/1*(4 - 5). Suppose z + 14*z - 90 = c. What is the lowest common multiple of z and 45?
90
Let n(u) = 31*u - 186. Let q be n(6). Let i(m) = -m**3 + m**2 + m + 36. Calculate the least common multiple of 6 and i(q).
36
Suppose -37*t + 42*t - 45 = 0. Let w be 16/6 + (-26)/39. What is the least common multiple of 6 and 4 + (w - t)/(-1)?
66
What is the common denominator of 103/342 and 23442/3780 - 42/7?
11970
Let d(i) = 13 - 2 - 39 + 2*i. Let c be d(12). What is the common denominator of 3/20 and 12 + (4 - 2) + c?
20
Let n(i) = 4*i + 12. Suppose 7 = -12*k + 19*k. Calculate the lowest common multiple of n(k) and 40.
80
Calculate the common denominator of 43606*10/(-36480) + 12 and 16/627.
20064
Suppose 0 = l - 0*l - 183. Find the common denominator of (12*(-9)/27)/6 - 7 and (6/(-9))/((-4)/l).
6
Let w = -1022683 + 20448519/20. Let s = 259 + w. Let z = -6011 - -35977/6. Calculate the common denominator of s and z.
60
Let g(t) = -t**3 - 12*t**2 - 36*t - 26. Let m be g(-8). Find the common denominator of 73/10 and m/((-295)/(-35) - 6).
170
Find the common denominator of (4/(-90))/(152/7030) and (-12)/16 + (-191)/4.
18
Let k = 242 + -212. Let u = k - 18. Calculate the lowest common multiple of 416 and u.
1248
Suppose -x + 29 = 3*i, -4 + 16 = 4*i. What is the smallest common multiple of ((-384)/(-72))/((-4)/(-6)) and x?
40
Let i(f) = f**2 + 3*f - 10. Let g be i(-4). Calculate the lowest common multiple of g + (8 - -7) - (0 + -5) and -1*(1 - 22) - 1.
140
Suppose 4*l + 6 = 2*q, 8*l = -5*q + 3*l + 45. Suppose 0 = q*g - 13*g + 12. Calculate the smallest common multiple of 4 and g.
4
Let r be 1/(((-1)/25)/((-9)/9)). Suppose 469 = 32*g - r*g. Let c = g - 65. What is the smallest common multiple of 12 and c?
12
Let x = 769912/11419 - 1282/19. Find the common denominator of -19/3606 and x.
3606
Let g = -21119/4 - -5283. Let s = 7649 + -152859/20. Find the common denominator of g and s.
20
Let b(d) = 1005*d + 72. Let a be b(-24). Let c be (-225418)/a + (-2 - -4). Let k = c + 2/1503. Find the common denominator of k and 19/10.
40
Suppose -65*k + 3584 = -9*k. What is the lowest common multiple of 36 and k?
576
Let x be (-2112)/165*5/(-1). Let f = 22 + x. Calculate the least common multiple of 4 and f.
172
Suppose 4*l + 0*l = 0. Suppose 14*n - 10*n = 0. Find the common denominator of (-2)/(n - (12 - l)) and 7/16.
48
Let r(s) = 356*s**2 + 46*s - 1. Let w be r(-17). Let o = w - 12252271/120. Find the common denominator of 1/132 and o.
1320
Let h(c) = 101*c - 7653. Calculate the lowest common multiple of 4770 and h(123).
4770
Let w = -5/821 + 73219/24630. What is the common denominator of w and (2/(-54))/(2/32)?
270
Let b(v) = 77*v + 156. Let f be b(8). Let m = 2 + 0. Find the common denominator of m/(-7) + f/(-42) and 97/8.
24
Let b = -2918 + 2936. What is the smallest common multiple of b and 778?
7002
Let a(v) = v**3 + 12*v**2 - 34*v + 16. Calculate the lowest common multiple of 40 and a(-14).
200
Suppose 8686 = 4*d + l - 1747, -4*l = -4. Calculate the smallest common multiple of d and 16.
2608
Let q = 1327 - 39719/30. Suppose -4000 + 68656 = -4*l. Let p = 485009/30 + l. Calculate the common denominator of p and q.
30
Let q = -11276 - -12149. What is the least common multiple of 54 and q?
5238
Let b = -166839265621440779030291/25913550 - -6438302186363534. Let t = -653/44525 - b. Let x = t - 28/97. What is the common denominator of 61/18 and x?
90
Let c = -134 - -164. Let z(k) = k**3 + 4*k**2 - 4*k + 7. Suppose -o + 2*p - 4*p - 11 = 0, 3*p - 1 = 2*o. Calculate the smallest common multiple of z(o) and c.
30
Let z = -4/13045 - -30061/55493430. Let y = -202069/17016 + z. Find the common denominator of 58/96 - (-3 - -1) and y.
48
Let c = -243 + 420. Let v = c - 579. Calculate the common denominator of 200/12*(v/(-128) - 3) and -37/18.
288
Let c = -9841 + 1102243/112. Calculate the common denominator of -25/7 and c.
112
Let h be 0*((-2)/(-4))/(8 + -7). Suppose h = 5*s - 5*a - 20 - 10, 5*s = -5*a. Calculate the smallest common multiple of s and 41.
123
Suppose -26*q + 2202 + 335 = -193. Calculate the smallest common multiple of q and 1855.
5565
Calculate the common denominator of ((-3795)/(-51060))/((15/36)/(-5)) and -27/58.
2146
Let u = 105412748 + -5692745653/54. Let b = -8466 - u. Calculate the common denominator of 23/105 and b.
1890
Let z(o) = 12*o + 2. Let d(h) = -7*h - 1. Let w(c) = -7*d(c) - 4*z(c). Calculate the smallest common multiple of 50 and w(11).
50
Suppose 3*j = -27, r = -124*j + 119*j + 4479. What is the least common multiple of 1131 and r?
4524
Suppose 3*n = -0*n - 4*z + 98, 3*z = 3*n - 63. Calculate the lowest common multiple of n and 38.
494
Let p(t) = -t**3 - 3*t**2 - 34*t + 2. Let v(o) = 4*o**3 + 10*o**2 + 103*o - 6. Let k(d) = 7*p(d) + 2*v(d). What is the lowest common multiple of k(-5) and 54?
108
Let q = 13/20 + -2/5. Let t be (-72030)/25*(-1)/(-2). Let a = 1434 + t. Find the common denominator of a and q.
20
Let g = -7695/776 + 198/97. Calculate the common denominator of 61/110 and g.
440
Suppose -2*k + 58*k = 3472. What is the smallest common multiple of 6 and k?
186
Calculate the common denominator of ((-682)/124)/(8/3*148/12) and -51/8.
592
Suppose -99 = 7*v + 97. Let w = v - -262. What is the lowest common multiple of w and 30?
1170
Let x be 1*-2 - -35*(-28)/40. Let r = -43 - x. Find the common denominator of 718/220 - (-4)/(-10) and r.
22
Let b = 8 + -5. Calculate the lowest common multiple of b and 2/11 - (-73320)/5720.
39
Let v be (-68)/(-85) - 497/(-28). Let g be (0 + 1)*218/10. Let q = v - g. What is the common denominator of q and 57/14?
28
Let x be ((1 - -1) + 1)/((-48)/128). Calculate the common denominator of 50/(-375)*125/(-3) and (3/12)/((-492)/x)*116.
369
Let b be (-12769)/6 - (-7)/42. Let r = b + 46829/22. Calculate the common denominator of 3/2*(-11)/9 and r.
66
Suppose 2*z = -2*c + 8, 0 = 2*z - c - 2 + 6. Suppose z = j + 2. Find the common denominator of -47/16 and ((-637)/(-13))/(16/j).
16
Suppose 5*k = -20, -5*w - 183794 = -0*k + k. Let u = 1102843/30 + w. Find the common denominator of 38 and u.
30
Let o = 1823/4074 + 79/97. Calculate the common denominator of o and (-833)/(-126) - 2*(-1)/2.
126
Let d be 1/(-3)*(-2509)/13. Let x = d + -3019/48. Calculate the common denominator of x and -5/3.
48
Let r = 71 + -307. Let n = r - -266. What is the smallest common multiple of n and 24?
120
Suppose -4*w + 2 = 3*h, -6*h + 3*w - 5 = -10*h. Suppose 5*q + 4*g - 181 = -0*g, -h*q = 2*g - 74. What is the common denominator of q and -33/14?
14
Suppose 4*f = d + 208 - 30, 5*f - d - 223 = 0. Suppose -35*r = -30*r - f. Calculate the lowest common multiple of 3 + (-2 + 2)/3 and r.
9
Suppose 5*i = -q + 1505, -11*i + 8*i - q + 905 = 0. Calculate the least common multiple of 24 and i.
600
Let o(p) = -p**3 - 7*p**2 - 7*p - 18. Let v be o(-8). Suppose y - v + 90 = 0. Calculate the smallest common multiple of 4 and y.
12
Let h = 6938231/360 + -19273. Find the common denominator of 25/1656 and h.
8280
Suppose 0 = -3*c - 2*y - 99 + 5, 2*y = 5*c + 146. Calculate the common denominator of 105/44 and 84/640 - 12/c.
352
Let t = -4/5969 - -459673/89535. Let h = -86/125 + 4541/750. Calculate the common denominator of t and h.
30
Suppose -4*r = 2*u - 14, 2*u + 0 + 10 = 0. What is the lowest common multiple of r and (-7 + -1)/((-2)/1)?
12
Let a = 19579/132 + -1594/11. What is the common denominator of a and -29/1194?
2388
Calculate the least common multiple of 41802 and 90/6 - (3 - 11 - -5).
125406
What is t