Let m = 28651/44140 + 2/2207. Let b = 34195/7752 + -35/969. Calculate the common denominator of m and b.
40
Suppose 13*w = 18*w + 3*c + 875, 840 = -5*w + 4*c. Let z = 307/12 + -229/6. Calculate the common denominator of w/3698 + (-1031)/(-903) and z.
84
Let q = 2493 - 44941/18. Let y = 119205/175588 - 2/6271. Find the common denominator of y and q.
252
Suppose 19*s - 11*s - 96 = 0. Let c(t) = 2*t**2. Suppose -o + 5 = -5*k - 0, k - 2*o - 8 = 0. What is the smallest common multiple of s and c(k)?
24
Suppose 399 = 31*y - 28*y. What is the common denominator of (-536)/105 - 57/y and -137/30?
30
Suppose 62*g - 66*g + 94 = l, -2*l = -3*g + 76. Calculate the smallest common multiple of 98 and (224/g)/(6/18).
196
Let g = 1120462 - 1364722561/1218. What is the common denominator of g and 65/1624?
4872
Let y = 509 + -473. Suppose 375*q - 371*q - y = 0. Let x(w) = -w**2 + 8*w - 1. What is the least common multiple of q and x(7)?
18
Let l = 930679/221160 + 3/18430. Let w(o) = o**3 + o**2 - 5*o + 2. Let a be w(4). Let c = a - 191/3. Find the common denominator of c and l.
24
Let z(j) = 26*j + 3. Let w be z(3). Let r = 225284/27 + -8345. Find the common denominator of r and 12/w*(-35)/2.
27
Let k(y) = -6 - 7 + 28 - 4 - 37*y - 9. What is the least common multiple of 35 and k(-4)?
1050
Let z = 1/29930 + -167831/6674390. Calculate the common denominator of 93/2230 and z.
2230
Let m = -38981 + 17619445/452. What is the common denominator of m and -101/20?
2260
Let f = -32626 - -978613/30. Let a(g) = 95*g + 74. Let x be a(-10). Let k = -1671/2 - x. Find the common denominator of f and k.
30
Suppose c + 5*z + 10 = z, 0 = c - 2*z - 8. What is the lowest common multiple of (-1*c)/(29/(-551)) and 6?
114
Suppose -22 + 15 = k. Let w = 7 + k. Suppose 90 = -w*f + 3*f. Calculate the lowest common multiple of 6 and f.
30
Let s = -3 + 3. Let m be (-104)/(-10) - (-8)/(-60)*3. Suppose -15*i + m*i + 55 = s. Calculate the lowest common multiple of 10 and i.
110
Let y(m) = 2*m + 91. Let f be y(-31). Suppose -2 = q + f. Let n = q - -63. Calculate the least common multiple of 40 and n.
160
Let n = -92 + 89. Let f be (-202316)/(-840) + n + 38/14. Let l = -695/3 + f. Find the common denominator of -151/30 and l.
30
Let s = -375088873/834 + 449747. What is the common denominator of 127/834 and s?
834
Suppose 374 = 3*x - j, 8*x - 10*x - 5*j + 272 = 0. Find the common denominator of -57/28 and 24/72 - (-1 + 1005/x).
28
Calculate the least common multiple of 652 and (-624)/(-80) - (3 + 32/(-10)).
1304
Calculate the lowest common multiple of 79688 and ((-30)/(-12))/((-16)/(-128)).
398440
Let u(k) = 4*k**2 + 4*k - 4362 + k**3 - 9*k + 4348. Let f = -12 + 8. Calculate the least common multiple of 9 and u(f).
18
Suppose 0 = -12*i + 6*i + 1008. Let l = -1089 - -1107. What is the least common multiple of l and i?
504
Suppose -13*c + 14*c = 1329. Suppose -1689 = -5*h - c. What is the smallest common multiple of 24 and h?
72
Let i = 147809/12180 - 241/20. Find the common denominator of -77/435 and i.
3045
Calculate the common denominator of 19/3262 and (-14)/46*-3 - 1 - (-1072575)/6752340.
6524
Suppose 0 = -6*g + 2*g + 322 - 278. Calculate the smallest common multiple of g and 154.
154
Let n(v) = 18*v**3 - 2*v**2 - 7*v - 6. Let q be n(-3). Let l = q + 490. What is the common denominator of l and 3/7?
7
What is the lowest common multiple of ((-12)/(-42))/((-4)/(-2324)) and 76?
6308
Suppose 0*b = -b + 5. Suppose -m + 11 = 2*o, 0 = -2*m - m - 9. Suppose o*n - 40 = -5. What is the least common multiple of b and n?
5
Let v = 365 + -516. Let q = 186 + v. Calculate the lowest common multiple of 20 and q.
140
Let f = 4 + 38. Find the common denominator of 1/(4*(-7)/f) and -15/22.
22
Let b = -24 + -3. What is the least common multiple of ((-45)/b)/((-15)/(-9)) and 13?
13
Suppose 54*r - 57*r = 0. Let y(a) = a**3 - a**2 - 2*a + 336. Let g be y(r). Let k = g - 747/2. What is the common denominator of k and -145/12?
12
Suppose 9*n - 1683 = 12*n. Find the common denominator of (-2)/(-6)*(n/(-121) + 3) and 37/65.
715
Let s be ((-10 + 9)/(1/2))/1. Calculate the least common multiple of 6 - (s - 0 - 0) and 28.
56
Suppose 2*s = 45*s - 3031 - 409. What is the lowest common multiple of s and 2488?
24880
Calculate the smallest common multiple of ((-2)/3)/((-114)/39672) - 13 and 219.
219
Suppose 3 + 5 = t. Let w(j) be the third derivative of j**5/60 - 43*j**3/2 - 2*j**2 + 28. Calculate the lowest common multiple of t and w(13).
40
Let f = -40425 + 40431. Suppose 2*h + 292 = s, 2*s - 552 - 36 = 5*h. What is the smallest common multiple of s and f?
852
Find the common denominator of -59/92 and 34/3*612/(-131376).
644
Suppose -3*f + 8570 = 4*b + 140, -2*b + 8436 = 3*f. Let c be 394/6*858/(-20). Let d = c + f. Calculate the common denominator of -27/43 and d.
430
Let k = 11637 + -11625. Suppose 3*x - 30 + 6 = 0. What is the lowest common multiple of x and k?
24
Let g(c) = c. Let u(x) = -180*x + 2319. What is the lowest common multiple of g(9) and u(12)?
477
Let s = -38 - -65. Let t(z) = -z**3 + 27*z**2 - z + 44. Let f be t(s). Suppose 8*w = f*w - 360. Calculate the smallest common multiple of w and 8.
40
Suppose -4*i + 4*k + 12 = 0, i = 4*k - 6 - 6. Let c be ((-4)/i)/((-20)/(-303146)). Let j = 7581 + c. What is the common denominator of j and -69/10?
20
Let j = -12821/252 - -482/9. What is the common denominator of -43/500 and j?
3500
Let i = 40471/2 - 20630. Let c be -3*1 - 11/(1980/70210). Let y = c - i. What is the common denominator of 43 and y?
9
Let s be ((-62)/4)/((-1)/(-2)). Suppose 3*w - 3 = -5*m - 18, -1 = -4*m - 5*w. Calculate the common denominator of s/(-9) - m/(-36) and -50/9.
18
Calculate the common denominator of (2 - (-88)/33)/((-48)/(-99)) and 58/621.
4968
Let b = -33389 + 2804831/84. Find the common denominator of b and 1/51.
1428
Calculate the least common multiple of 9 and ((-11)/((-99)/3807))/(0 + 1).
423
Suppose 4*u = -2*m - 19756, -4*u + 9*u + 49375 = -5*m. Let s = 1154351005/28 + -41236692. Let a = m - s. What is the common denominator of a and 29/12?
84
Let i(o) = 3*o**2 + 37*o + 8. Let a be i(-12). Calculate the smallest common multiple of 11/((-154)/63)*a and 180.
180
Let d(k) = -k**3 + 14*k**2 - k - 54. Let w be d(0). Let p = 7 - 5. Calculate the common denominator of (111/w + p)/((-8)/420) and -11/2.
12
Let b = 453939 - 204305. Let z be (-2)/7 - 236277/b. Let l = -8/1621 - z. What is the common denominator of l and 49/18?
198
Suppose 5*j - 757 = -4*a + 1108, 4*a - 2*j - 1886 = 0. What is the smallest common multiple of 470 and a?
470
Suppose 0 = -3*u + 3*x + 176 - 536, -4*x - 240 = 2*u. Calculate the smallest common multiple of 11 and (u/(-140))/((-6)/(-112)).
176
Suppose -4*y + 0*y = 4*y. Let f(l) = -46*l + 1. Let g be f(1). Find the common denominator of y - ((-177)/g - 5) and 47/9.
45
Let k = 7689 + -7656. Suppose 85 - 25 = 4*p. Calculate the least common multiple of k and p.
165
Suppose -5*y = -5*t - 170, -214*y + t + 142 = -210*y. Let p = -102 + 120. What is the lowest common multiple of y and p?
36
Calculate the common denominator of 59/6 and (36/90)/((-357)/(-160)).
714
Let w = -51 - -48. Let k(r) = -r**3 + 2*r**2 + 2*r - 6. Let s = 2 + 7. What is the smallest common multiple of s and k(w)?
99
Let u = 58 + -59. Let y be (14/(-6034))/(u/3). Let w = y + -20311/7758. What is the common denominator of 179/30 and w?
90
Let c = 10482221/230015310 - -1/156473. What is the common denominator of -27/56 and c?
5880
Let d = 13699 - 13696. What is the lowest common multiple of d and 53?
159
Suppose 4 = 9*d - 5*d. Calculate the least common multiple of 20 and (d - 0) + 7 + -1 + -1.
60
Suppose 9*t - 10*t + 20 = 0. Suppose 2*k - 11 - 1 = 0. Suppose -k*o = -7*o + 14. What is the smallest common multiple of o and t?
140
Let x = 990273 - 707055053/714. Find the common denominator of x and -143/420.
7140
Let r = -36638593/260 - -140918. Calculate the common denominator of r and -79/260.
260
Let x = 2/25595 - 578459/153570. Calculate the common denominator of 59/1047 and x.
10470
Let z = -11 - -13. Calculate the least common multiple of z and (13*10)/(-5)*-3*(-2)/(-12).
26
Find the common denominator of (-778)/(-360) + (-2590)/2331 and -63/8350.
16700
Let s = -1867 - -1822. Find the common denomina