) + -1 - r/(-336). Let f = 5 - g. Calculate the least common multiple of f and 10.
30
Let s be 47400/280 + 4/(-14). Let m = s + -211. Let a = 18413/15 - 1228. What is the common denominator of m and a?
15
Calculate the common denominator of 1353/286 - (-3)/(-3) - 4 and -59/39.
78
Suppose -3*u = b + 20, -18 = 2*u - 0*u + 3*b. Calculate the common denominator of 55/18 and ((-1041)/180 - u)*2.
90
Let v(r) = -4*r**3 + 67*r**2 + 19*r - 14. Calculate the lowest common multiple of v(17) and 675.
2700
Suppose -5*p + 3*y + 364 = 0, -38*p = -39*p - 12*y + 161. Calculate the least common multiple of p and 176.
1232
Suppose p + 73 = 2*o, -8*o - 3*p + 141 = -4*o. Let n = -5 + 35. Let h = 2 + n. Calculate the smallest common multiple of o and h.
288
Suppose 105*c - 24363 = 69507. What is the smallest common multiple of c and 1341?
2682
Let g = -1/1863 + 92563/63342. What is the common denominator of g and -17/831?
28254
Suppose r + 1054 = 35*r - 3*r. Suppose 0*a + 2*a = 36. What is the smallest common multiple of a and r?
306
Let g = 9738183/160 + -60863. Calculate the common denominator of g and -37/2160.
4320
Let s = -1793 - -2414. What is the smallest common multiple of 276 and s?
2484
Suppose -25*u = -545 + 170. What is the lowest common multiple of 30*(-3 + 13/3) and u?
120
Let k(o) = -29*o - 786. What is the least common multiple of 150 and k(-34)?
600
Suppose -25292 = 9*w + 52486. Let t = w - -2689. Let f = -130941/22 - t. What is the common denominator of f and -79/4?
44
Calculate the common denominator of 3/14 and ((-1130)/273150*6)/(12/(-15)).
25494
Find the common denominator of -87/1076 and ((-14)/(-24))/((650/675)/13).
2152
Suppose -19 = -3*h - 7. Suppose 0 = 15*v - 13*v + 4*d - 26, 5*v - 2*d = 5. Suppose v*p = -h + 13. Calculate the smallest common multiple of p and 6.
6
Let w = -2579/902 + 115/123. Calculate the common denominator of 79/44 and w.
132
Suppose 2*w + 0*w = 2*z - 22, 5*w + 2*z + 62 = 0. Suppose 5*y = -4*c + 29, 3*c - 4*y = -3*y + 36. What is the least common multiple of (4/(-5))/(w/150) and c?
110
Let h be (-747329)/(-154) - (-1 + 4)*-1. Let b = 4849 - h. Let i = 3055/4 - 751. Find the common denominator of i and b.
28
Let w = -8843 + 291766/33. Let q(f) = 155*f. Let c be q(-4). Let y = 3743/6 + c. What is the common denominator of y and w?
66
Suppose -41*v - 104 = -89*v - 56*v. What is the lowest common multiple of v and 34?
34
Let v = 24097/8148 + 2/291. Let g = -3/616 - 4771/616. What is the common denominator of v and g?
28
Let v(h) = h**3 + 20*h**2 + 65*h + 8. Let t be v(-16). Calculate the lowest common multiple of 23 - (1 + 0 - 2) and t/3*351/(-156).
24
Suppose n + 2*o + 9 = 0, -2*n + 7*n + 4*o = -45. Calculate the common denominator of 54/11 and n/(-21) - (-37728)/(-61376).
3014
Suppose 184 = 4*w - 3*y, -2*w - 5*y + 42 = -24. Let t = w - -40. What is the least common multiple of 1 and t?
83
Let v = -3827636009/33 + 115978774. Let k = v + 10197. Calculate the common denominator of 85/12 and k.
132
Suppose -2 = 5*z + 3. Find the common denominator of (-68)/(-612)*(-388)/8 and ((-153)/48)/(-1) + z.
144
Let h = -2214 + 123979/56. Calculate the common denominator of ((-53)/56 - 0) + -5 + 6 and h.
56
Let f = 18466 - 17041. Calculate the least common multiple of f and 135.
12825
What is the common denominator of -33/52 and 154/156*((-9)/(-3))/(6 - 12)?
156
Let p(d) = -149*d + 73. Let n be p(2). What is the least common multiple of 15/n*-10 + 2/6 and 17?
17
Let b(l) = -194*l + 4388. What is the lowest common multiple of b(22) and 144?
720
Let m(j) = -25*j. Suppose -3967 + 1078 = -h - 320*h. What is the least common multiple of m(-6) and h?
450
Suppose 5*a - 3*b - 66 = -0*b, 2*b = -4*a + 44. Find the common denominator of ((-111)/(-12))/(3/a) and 19/7.
7
Let y be 1686*((-99)/(-6))/(-3). Let m = y + 185569/20. Calculate the common denominator of 2/8 + 2*-5 + 0 and m.
20
Suppose 10*y + 80*y - 1957 = -517. Suppose 0 = -3*j - 4*l + 6 + 90, -5*l = 2*j - 64. What is the least common multiple of j and y?
32
Let h = -998/339 + -270/113. Let i = 4/6681 + 99439/1296114. Calculate the common denominator of h and i.
582
Let d = -976151221/1380 - -707356. Calculate the common denominator of 11/1150 and d.
6900
Let g = -281/122 - -59725/24156. Find the common denominator of g and 73/396.
396
Let a(g) = -15*g - 35. Let o be a(-14). Let p = o + -170. What is the smallest common multiple of 21 and p?
105
Let t = 4219 - 3984. Calculate the lowest common multiple of t and 470.
470
Let n(z) = 23*z - 26. Suppose 0 = 25*b - 29*b + 16. What is the smallest common multiple of n(b) and 24?
264
Suppose 0 = 4*x, -x = -5*f - 2*x + 450. Calculate the common denominator of 275/(-110)*3/(f/286) and 65/14.
42
Suppose o - h = 12 - 14, 3*h - 3 = 0. Calculate the smallest common multiple of (-10 - -14)*22/4 and 3 + -5*(-6)/((-3)/o).
286
Suppose -2*r + 0*r = 5*i - 172, 2*r = i - 44. Calculate the common denominator of 2 + (0 - (-98)/i) and 232/(-128)*20/(-45).
36
Suppose -196*m + 79*m + 112800 = 3*m. Calculate the lowest common multiple of m and 20.
940
Suppose -351*f = -4*d - 349*f + 180, 0 = -4*f + 24. What is the lowest common multiple of 1088 and d?
3264
Let l = -464/5 - -15647/165. Let o = 448565/462594 + 1/42054. Calculate the common denominator of l and o.
33
Let q = 1478 - 470. Calculate the least common multiple of 18 and q.
1008
Suppose 5*i + 61 - 171 = 0. What is the least common multiple of i and -12*10/5*-1?
264
Calculate the least common multiple of 4596 and (-11 - -21)*(-3)/(6/18*-3).
22980
Let d = -6358 + 7006. Calculate the lowest common multiple of 792 and d.
7128
Let o be (-3)/(-2) + 2765/(-980). Let g = -2395/14 - -171. Let z = g - o. What is the common denominator of -3/4 and z?
4
Calculate the common denominator of 105/286 and (84/(-1))/(-462 - -124).
3718
Let p be 9/(-6) - 1/(-2). Suppose 10*q = 5*q - 420. Find the common denominator of 1 - (158/q - p) and -43/16.
336
Let f(s) = 12*s - 94. Let n be f(-7). Let o = -55 - n. What is the smallest common multiple of o and 6?
246
Suppose 45*t - 40*t = 20. Suppose 0 = t*o, -3*w - 2*o + 63 = -5*o. What is the least common multiple of w and 9?
63
Let b(l) = l**2 + 9*l + 17. Let y be b(-4). What is the smallest common multiple of 3 and 5/(45/6) - 556/y?
186
Let y = 100214 - 56019659/559. What is the common denominator of y and 131/1548?
20124
Let s(w) = 2*w. Let m be s(6). Let t = 72 - 40. Suppose -t = -4*l - m. Calculate the lowest common multiple of l and 3.
15
Calculate the common denominator of (-7 + (7 - -50 - 3))/(-144) and -139/18.
144
Suppose -10*t - 4*q + 1088 = 0, -102 = -t + 278*q - 275*q. What is the smallest common multiple of t and 480?
4320
Suppose 3*c + w = -3*w + 7, w = -c + 3. Suppose c*k = -3*m + 42, 3 + 22 = 3*k + 2*m. Calculate the least common multiple of -7*(-2 + 1) + -7 + 18 + -17 and k.
9
Let b = 2922 + -11531. Let g = 103403/12 + b. Calculate the common denominator of 55/8 and g.
24
Let f(s) = 87*s - 156. What is the smallest common multiple of 60/14 - (-4)/28*-2 and f(4)?
192
Let d = 34 - 35. Let x be (-36162)/(-45)*(6 + d). Let b = x + -40147/10. Calculate the common denominator of b and 31/7.
70
Suppose 74*l - 27 = 71*l. Let u be (-5)/(-16)*4*-8. Let q(v) = -v**2 - 9*v + 15. What is the lowest common multiple of q(u) and l?
45
Let y = 377 - 214. Let u = 78703/3633 - -4/1211. Calculate the common denominator of y/12 + -4 + -1 and u.
12
Suppose 2*x = -3*x + 110. Suppose 2*b + 5*m + 48 = 0, 0 = -2*b + 5*b - 2*m + 34. What is the least common multiple of x and 8/3*(21/b - -6)?
132
Let w(d) = -d**3 + 22*d**2 - 57*d - 54. Suppose 3*q + 33 = 3*l + q, 4*l - 2*q - 42 = 0. What is the smallest common multiple of l and w(18)?
216
Let m = -2557 + 2590. Let p(b) = -b**3 - 9*b**2 - 5*b + 2. Let s be p(-8). Let r = 29 + s. What is the lowest common multiple of r and m?
231
Let w = 10194 - 10012. What is the smallest common multiple of w and 364?
364
Let x be (56/10 - (-22)/11)*100. Suppose 0 = -5*a + a + 44. What is the smallest common multiple of a and (-6)/(-16) + 5035/x?
77
Let z(r) = r - 3. Let j(f) = -f - 8. Let u be j(-9). Let l be z(u). Find the common denominator of 1/l - (2 - 231/24) and -32/5.
40
Suppose -2*q - 487 = -0*q - 3*n, -4*q - 977 = -3*n. Let z = q + 6005/24. Calcul