
Let u(l) = -176*l + 531. Let y = 71 + -24. What is the least common multiple of y and u(3)?
141
Let t(l) = l + 72 - 66 + l + l. What is the smallest common multiple of 15 and t(-1)?
15
Let r = 8502 - 8418. What is the lowest common multiple of 18 and r?
252
Let r(u) = 2*u - 16. Let w be r(-2). What is the smallest common multiple of 9 and 72*(w/(-50) - (-2)/20)?
36
Suppose -23*v + 1406 = -6322. Calculate the lowest common multiple of v and 42.
336
Let t be (3 - 0/1)*(-495)/297. Let k = -240 + 5759/24. What is the common denominator of 15150/(-750)*(t/28)/(-1) and k?
168
Let m be (14/(-2928))/(2/(-1063)). Let h = m - 19/183. What is the common denominator of h and 6/(-15) + (-331)/(-290)?
464
Suppose u - 33 = -4*a, -4*a + 5*u + 9 + 18 = 0. Let x = -11 - -16. Let i(t) = -t**3 + 5*t**2 + 5. Calculate the least common multiple of a and i(x).
40
What is the common denominator of 75/352 and -8*(-11 - -12) + 574/88?
352
Suppose 7*b = 8*b - 5*q - 738, 5*q + 3730 = 5*b. Let v = -65825/88 + b. What is the common denominator of 113/110 and v?
440
Let f = -539728/15 - -35983. Find the common denominator of f and (-9)/(-378)*(-32)/(-3).
315
Let m(p) = p**2 + 24*p + 179. Let i(t) = -t**3 - 4*t**2 + 17*t + 23. Let h be i(-6). What is the smallest common multiple of m(h) and 24?
120
Suppose 0 = 4*t + 4*w + 15 - 27, 5*t - 4*w - 96 = 0. Calculate the smallest common multiple of 920 and t.
2760
Let u(f) be the first derivative of -2141*f**2/2 + 40*f - 29. Let y be u(5). Let r = y + 298693/28. Calculate the common denominator of r and 37/6.
84
Suppose z - 1299 = -3*b, 3*z - 242 = -b + 175. What is the least common multiple of b and 87?
435
Suppose 28 = 20*h - 13*h. Calculate the smallest common multiple of 6/24 + 11/h and 7.
21
Let k be 1/3 - 21/9. Let l be 12/(-18) - (-236)/(-6). Calculate the common denominator of 13/24 and (k/(-9))/(l/(-70)).
72
Suppose 190 = 7*q + 820. Let p = 213/107 + 13601/1284. Calculate the common denominator of 3/(18/(-8)) + 282/q and p.
60
Let f be 7 + (-8 - -6) + 8. Calculate the common denominator of 101/4 and -3*(10/4 + (12 - f)).
4
Let i = -19093/33 + 577. Calculate the common denominator of i and 67/1011.
11121
Find the common denominator of 125/3192 and 1/(18 + (-15774)/913).
15960
Let c = 876 - 856. Calculate the common denominator of -47/27 and 53/(84*(-5 - (-85)/c)).
189
Suppose 5*k = 14*s - 18*s - 13, -3*s = 2*k + 8. What is the common denominator of k*5 + -5 + 335/30 and 2 + -1 - 136/18?
18
Calculate the common denominator of 89/2030 and -8 + -15 - -25 - (-97)/(-1160)*22.
4060
Let x = 1 + 2. Suppose 10*z - x*z = -14. Find the common denominator of -173/30 and 31/(-27) - z/6.
270
Let i = -5330797331/3114 + 1711881. What is the common denominator of i and 17/42?
21798
Suppose -16*p + 4 = 2*m - 14*p, 0 = m + 4*p + 4. Suppose h - 3 - 3 = -2*o, m*h = 0. What is the lowest common multiple of o and 11?
33
Let a(y) = -7*y + 233. Calculate the lowest common multiple of a(-11) and 10.
310
Let y = -808495/59 + 27405/2. Find the common denominator of -145/18 and y.
1062
Suppose 93*n = 27559 - 2449. What is the lowest common multiple of n and 6?
270
Suppose -260*g - 1013 = 20*g - 9413. Calculate the smallest common multiple of g and 180.
180
Let m = 726 + -328. Let d = m - 813/2. Find the common denominator of -83/16 and d.
16
Let b(h) = -h**3 - 78*h**2 + 238*h - 169. Calculate the smallest common multiple of 40 and b(-81).
2360
Suppose 25*d + 4788 = 44*d. Calculate the lowest common multiple of 168 and d.
504
Let y = 698/835 - 6/167. Let v = 504/23 + -4996/207. What is the common denominator of v and y?
45
Suppose -z + 6*y = 3*y + 12, z - 2*y + 16 = 0. Let f = -24 - z. Calculate the common denominator of 4 + (-532)/24 - f and 7/4.
12
What is the common denominator of 6/(-36) - (-13)/54 and ((-29)/54)/(43/172)?
27
Let n = -127/239 - -135157/19120. Let y = n - 75/16. Calculate the common denominator of y and (7 - 13727/1176) + (-4)/14.
120
Let t = 933673/56 - 16674. What is the common denominator of 1/448 and t?
448
Let s = -155479/33 - -4712. Calculate the common denominator of s and ((-1)/(-6))/(((-150)/580)/(-3)).
165
Suppose -2*g = -5*v + 1287, -9*g = -7*g + 2*v + 1280. Let o = -1939/3 - g. What is the common denominator of (9/(-20))/((-2)/5) and o?
24
Let l = -43979/10 - -4394. Let o = -241/40 - l. Find the common denominator of o and 29/6.
24
Let u = -1369 - -2153. Calculate the smallest common multiple of u and 152.
14896
Suppose -49 = -3*w + 56. Suppose 0 = 4*j + 2*t - 92, 2*t + 1293 - 1235 = 2*j. What is the lowest common multiple of w and j?
175
Let c = 1758961/148 + -11885. Calculate the common denominator of -97/74 and c.
148
Let x be (-1 - (-114)/42)*238. Suppose -9*b - 3*b + x = 0. What is the lowest common multiple of b and 1?
34
Suppose 471*d = 1355*d - 13260. Let n(x) = 8*x**2 - 4*x + 6. Calculate the lowest common multiple of d and n(-6).
1590
Let g = 1602862/135 + -11873. Calculate the common denominator of g and 4/693.
10395
Let x(r) = -17*r - 1. Let o(w) = -w**3 + 281*w**2 - 16658*w - 390. What is the least common multiple of o(196) and x(-1)?
16
Let a(b) = 7*b - 3. What is the smallest common multiple of a(7) and (6 + (-44)/8)*(36 + -26)?
230
Let l(r) = 16*r + 929. Suppose x + 2*o = 7*o + 10, 4*x - 59 = o. Calculate the lowest common multiple of x and l(-58).
15
Suppose -2*m - 2 = 0, 0 = 2*d - 4*d + 2*m + 18. Let n = -6 + d. What is the least common multiple of 11 and 30/4 - n*(-3)/(-12)?
77
Let t be 14/(-7)*(-2)/(4/9). Suppose 10*o - t*o = 3. What is the common denominator of 56/9 and 4*o - ((-13 - -6) + 4)?
9
Let g = -7442407712/579 - -12853896. Let y = 2/579 - g. What is the common denominator of -50/39 and y?
39
Suppose -32 = -2*o + 328. Find the common denominator of 151/o*-2 + 6/15 and 73/12.
36
Suppose -774 = 6*j - 12*j. What is the least common multiple of 4 and j?
516
Let m(d) = -2*d**2 - 11*d + 91. What is the least common multiple of m(-6) and 70?
1190
Let c = 2473939/264 - 9371. Find the common denominator of 139/78 and c.
3432
Let w = -2030248/79 + 25700. What is the common denominator of -49/11 and w?
869
Suppose 0 = -4*h + 91 + 101. Suppose 45*t = -149*t + 1746. What is the least common multiple of h and t?
144
Suppose 0 = -4*w + 3*w. Suppose r + 1 - 3 = w. Suppose 2728 = -124*h + 186*h. What is the least common multiple of r and h?
44
Let l = 3/47429 - 3939082/39128925. What is the common denominator of l and -19/121?
9075
Suppose -5 = -t, 0 = -5*r - 5*t + 24 + 11. Suppose -r*i + i = -4, -5*u = -4*i - 39. Calculate the lowest common multiple of 18 and u.
198
Let v(t) = -t**2 - 44*t - 120. What is the least common multiple of v(-41) and 838?
2514
Let k = 4503/65 - 2095/26. Let f = -131869 + 8307487/63. Let p = f - -9467/630. What is the common denominator of k and p?
10
Calculate the least common multiple of (-8)/(-172) + (-108975)/(-645) and 3588.
46644
Let t = 663574/7 + -96024. Let q = t + 1220. Find the common denominator of q and -61/25.
175
Let u(q) = 8*q**2 + 160*q - 322. Calculate the lowest common multiple of 76 and u(2).
1140
What is the common denominator of (-1947)/(-5588)*(-24)/396 and 107/242?
30734
Let m be 21500/44 - (2 - 0). Let c = m + -490. What is the common denominator of c and (-1914)/88 - (-7 + -1)?
44
Suppose -4*f - 3*o = -38 - 23, 2*o = -f + 14. Suppose 0 = z + f*z - 680. What is the lowest common multiple of 12 and z?
120
Let j(r) = 79*r**3 - 2*r**2 + r + 2. Calculate the least common multiple of (-1368)/(-68) - ((-60)/85)/(-6) and j(1).
80
Suppose -2*f - 40 = 24. Let y = f - -42. Suppose -y = -2*b + 8. What is the lowest common multiple of b and 6?
18
Suppose 44*o - 3315 = 1437. What is the lowest common multiple of o and 144?
432
What is the common denominator of (-10625)/1275 + (-1)/2*1 and -17/1163?
6978
Suppose 0 = 2*y + 5 - 7. Let q = -2657 - -2661. What is the least common multiple of 1 - y - (-1 - 2) and q?
12
Suppose -5*k + 8*n = 3*n - 145, -9 = -3*n. What is the lowest common multiple of k and 216?
864
Let f(a) = a**2 - 7*a - 13. Let x be 5/(10/(-4)) - (-3 + 1). Let c be 9 - 5/10*x. What is the lowest common multiple of f(c) and 5?
5
Let p = 3670652/11 + -333695. Let n = -522011/353540 - 6/8035. Find the common denominator of n and p.
44
Suppose 0 = -4*y - 3*k 