pose -2*f - 4*a + 524 = 34, -3*a - 462 = -2*f. Let b be -2 + 4 - f - 2. Calculate the common denominator of 45/16 and 2 - b/(-24) - 3.
16
Suppose -19 - 55 = 2*l. Let j = l + 32. What is the least common multiple of j/((-10)/(-2)) - -13 and 9?
36
Suppose -o + 2*n = -0*o + 291, -5*n - 1125 = 4*o. Let w = 293 + o. Calculate the smallest common multiple of w and 10.
40
Calculate the common denominator of -157/2142 and ((-214)/112 - (13 + -13)) + 82/287.
8568
Suppose r + 276 + 414 = 0. Let l = r - -4109/6. What is the common denominator of l and 7/162?
162
Suppose 2*t - 5*o = -21, t = -3*o - 3 - 13. What is the common denominator of -13 - t - 59/(-21) and 71/3?
21
Let g be 3/4 - (-45)/(-60). Let l = 396 - 398. Find the common denominator of 770/(-176) + g/(1 + l) and 71/8.
8
Let w be 275/(4/((-24)/(-3))). Suppose -2*f + 220 = m, -5*f + 5*m = 8*m - w. What is the least common multiple of 30 and f?
330
Let t = 60/6407 + -250133/13710980. Calculate the common denominator of 131/6 and t.
6420
Let a be (-110015)/(-27505) + (-2 - 2). Let c = a + 280562/60511. What is the common denominator of -31/12 and c?
132
Let l = 6404 - 6400. Calculate the least common multiple of 1 + 2 - (2 - 59) and l.
60
Suppose -1802 - 10672 = 18*b. Let i = -8357/12 - b. Find the common denominator of -17/42 and i.
84
Let w = 5675/8184 + -17/372. What is the common denominator of w and 155/792?
792
Let r = 17239/4 + -94779/22. Let l be ((-6)/20)/((-12546)/(-5)). Let t = l + -103501/29274. What is the common denominator of t and r?
308
Suppose -214766 = -30*g + 23644. Let s = g - 174787/22. Calculate the common denominator of -119/528 and s.
528
Let c = 708/2675 - -160/107. What is the common denominator of (-26 - -24) + (-2037)/210 and c?
50
Suppose 0 = -t + 11*t. Let p be (274 + t - 0) + -4. Calculate the lowest common multiple of 30 and (-14)/4*p/(-63).
30
Let w(z) = z**3 - 5*z**2 + 4*z - 7. Let a(f) = f**3 + 3*f**2 - 45*f. Let k be a(-15). Let b = k - -22315/11. Find the common denominator of b and w(5).
11
Suppose 0 = -5*b - 5*s + 6065, 5*b + 3*s - 14601 = -7*b. Calculate the smallest common multiple of b and 420.
12180
Let h = 32 + -29. Let d be h + 8/(-6)*(-51)/2. Calculate the common denominator of -39/22 and d/12 + (-14 - -14).
132
What is the common denominator of -10 - (5 - 2098/141) and 46/177?
8319
Let f(k) = k**3 - k**2 - k. Let z(m) = 4*m**3 - 7*m**2 - 4. Let g(o) = 3*f(o) - z(o). What is the smallest common multiple of g(2) and 57?
114
Suppose 98*a + 75 = 2530 + 2249. Calculate the least common multiple of a and 45.
720
Suppose 2218 = 3*i - 2*x - 1699, -7*x = 5*i - 6611. Calculate the lowest common multiple of 184 and i.
10488
Suppose 0 = 8*y + 13*y - 672. Suppose -2*u - 26 - y = -3*b, 3*b + 4*u = 64. Calculate the smallest common multiple of 32 and b.
160
Suppose 26*y - 339 = 10*y + 813. Calculate the lowest common multiple of 24 and y.
72
Let r be (-4)/32 - (-226005250)/4560. Let x = 49563 - r. What is the common denominator of -19/10 and x?
570
Let t = -69 + 73. Suppose 4*y + t*y = -560. Let z = y - -84. Calculate the smallest common multiple of 42 and z.
42
Let b = 4708074 + -3540472909/752. Let c = b + -212/47. Find the common denominator of c and 2/(-12)*-1*41.
48
Let f = 486 + -546. What is the smallest common multiple of 6 and 36/10*f/(-18)?
12
Suppose -4*y + 5*v + 9 = 0, -3*v - 7 = y - 5. Calculate the common denominator of ((-737)/(-22))/((1 + y)*-2) and 34/7.
56
Let w = 1955/53 - -171/106. What is the common denominator of w and -42/967?
1934
Let b = 2968751/748470 - -6/24949. Calculate the common denominator of (9020/8856)/((-4)/(-3)*-2) and b.
720
Suppose 3*t - 3*o - 636 = -0*o, -5*t - 2*o + 1088 = 0. Suppose -22*p = -t - 70. What is the least common multiple of 6 and p?
78
Calculate the common denominator of 9/44 and 4 - (((-156)/36 - -5) + 2201/648).
7128
Let z = -3363 - -3899. What is the least common multiple of 938 and z?
3752
Let v = -157 - -229. What is the least common multiple of v and 612?
1224
Let z(x) = 64*x**3 - 2*x + 4. Calculate the least common multiple of 624 and z(1).
6864
Let x be 4 + ((-534898407)/64792)/(-3). Let y = x + -22047/8. Let l = y - -494049/40495. Find the common denominator of 95/6 and l.
30
Let o be (1 - -3080) + (28 - 29). Calculate the common denominator of ((-2)/40)/(20/o) and -29/25.
50
Suppose -2*r + 26*u - 31*u = -7133, 0 = 5*r - 3*u - 17848. Calculate the smallest common multiple of r and 43.
3569
Suppose 1387 = -6*n - 797. Let s = n + 416. Calculate the lowest common multiple of s and 8.
104
Let d = 928/5225 + 105/209. Find the common denominator of 61/10000 and d.
10000
Suppose 3 + 3 = 3*h. Suppose -h*z = -5*l - 6*z - 13, -3*l + 4*z = 27. Let v(c) = c**3 + 4*c**2 - 4*c + 7. What is the lowest common multiple of 7 and v(l)?
14
Let h(v) = -v**2 - 15*v - 1 + 7*v - 2 + 18 + 6*v. Calculate the least common multiple of 60 and h(-3).
60
What is the common denominator of (6/5)/3 - (-963435)/(-2212650) and -58/9?
2682
Let s be -2 + -5 + (2 - -6). What is the smallest common multiple of 428/6 + s + (-4)/12 and 4?
72
What is the common denominator of 121/180 and (2888/240 + -12)*(-394)/28?
1260
Let p = 43 - 39. Suppose 4*v + 0*v + p*z - 12 = 0, -5*v - 3*z = -13. Let a = 9 - v. What is the smallest common multiple of a and 2?
14
Let z(c) = 2*c**3 - 30*c**2 + 31*c + 12. Calculate the lowest common multiple of 4446 and z(14).
13338
Let h be 111/3*4/4. Suppose 41*q = h*q + 44. What is the common denominator of -5/36 and 7/(-28) - 5/q?
396
Let p be ((-40)/(-25))/((-6)/(-15)). Let j = 7511/5868 + -23/163. What is the common denominator of j and (p - 4884/240)*(-2)/(-3)?
180
Let y(f) = -f**2 + 10*f - 1. Suppose -13 = 5*c + 17. Let t be (-69)/(-9) + 4/c. What is the lowest common multiple of y(t) and 4?
20
Suppose -25749 - 14256 = -127*t. Suppose -17 = -3*l + 28. Calculate the smallest common multiple of t and l.
315
Suppose -10*m = -7*m - 33. Let z(y) = -4*y**3 - 3*y**2 + 2. Let o(q) = q**2 - 18*q + 55. Let l be o(4). What is the smallest common multiple of m and z(l)?
33
Suppose -4*w - 389 = -25. Let a = -94 - w. Calculate the least common multiple of 8 and a/(-1) - 5/5.
8
Let p = -388 + 368. Find the common denominator of (-93)/42 + (-6 - -1)/p and 73/70.
140
Let r be (-3 - 0) + (-472314)/(-84). Let h be (4*-1 - 1)/((-43)/48289). Let l = h - r. Find the common denominator of 1/5 and l.
70
Let a(n) = 6 - 24 - 238*n + 3. Let c be a(2). Let q = c + 10777/22. Find the common denominator of q and -89/16.
176
Suppose 0 = 5*m + 2*j - 376, 5*j - 66 = -0*m - m. Suppose f + 2 = 0, 0 = -2*c + 2*f + m + 8. What is the smallest common multiple of c and 40?
40
Let s = 116/7 - 73/7. Find the common denominator of 171/54 + 4 - 6/(-4) and s.
21
Let k(c) = 2*c**2 - 12*c - 2. Let x be k(5). Let f be ((-15)/9)/((6/3)/x). What is the common denominator of -9/22 and (-75)/21 - 5/f?
154
Let o = 322400839/1148 + -280837. Calculate the common denominator of o and -2/7.
1148
What is the smallest common multiple of -11 + -2 - 924/(-28) and 700?
700
Let w(h) = 410*h + 1332. What is the least common multiple of w(-3) and 14?
714
Let p = -29 - -30. Let l be (-4)/(p - 5/6). Calculate the common denominator of -68/33 and (-220)/(-16)*l/(-20).
66
Let f = -177 - -198. Let a(s) = 25*s**2 - 10*s - 8. What is the least common multiple of a(-1) and f?
189
Let i(p) = 2*p**2 - 295*p + 603. What is the smallest common multiple of 21 and i(176)?
74445
Let b be 5 + -2 + (-519)/12. Let o be (4 + (-1610)/8)*1/3. Let k = b - o. Find the common denominator of k and 103/12.
12
Let m = -48599 - -2138263/44. Calculate the common denominator of -51/88 and m.
88
Suppose 20*u = 12*u + 1720. Suppose -3*k + 251 - u = 0. Calculate the lowest common multiple of 3 and k.
12
Let o = 23419/48 - 1474/3. Let z = 157/2252 - -1097425/10134. Let c = -1108/9 + z. What is the common denominator of c and o?
16
Suppose -3*s = -4*w + 277, -3*w + 6*w = 4*s + 206. Suppose -w = 14*k - 378. Let r = 48 + -30. Calculate the least common multiple of r and k.
198
Suppose 12 - 56 = -4*t. Let v = -70 - -75. Suppose 3*z - 1 = 5*s - 12, -29 = -v*s - 3*z. What is the smallest common multiple of t and s?
44
Let n = -132997987/1188 - -447821/4. Let t = -55/27 + n. Find the common denominator of 1 + (1048