Suppose 1175*n - g*n = 54. Calculate the lowest common multiple of n and 123.
369
Let o = 51/230 - -11/23. Find the common denominator of o and (((-6)/(-27))/((-36)/(-243))*-2)/((-70)/33).
70
Suppose 225*c = 76*c + 4768. Calculate the smallest common multiple of 8 and c.
32
Suppose -1478 = -20*w + 982. What is the lowest common multiple of w and 4 + (2/(-2) - -4)?
861
Let u = 21/155 + -2603/28365. Find the common denominator of -79/117 and u.
7137
Calculate the common denominator of -44/43 and -8 - ((-8351955)/1083600 - (-2)/(-7)).
3440
Let u be (-7981 + -2 - 2)/(-1 - 5). Let j = 1331 - u. Calculate the common denominator of j and (14*1)/(66/(-8)).
66
Let f(o) = -31*o + 44 + 2*o**2 - 35*o + 28*o. Let g(c) = 2*c**2 + 5*c + 1. Calculate the smallest common multiple of f(18) and g(-4).
104
Suppose i - 6 = -0. Let g be (21/(-6) - -4)*i. Suppose g*l - 46 = -4*r, -3*r = -2*l + 3*l - 17. Calculate the lowest common multiple of 4 and l.
28
Let t be 18/(-27) - (-1 + (-13)/(-3)). Let z(c) = c**2 - 11*c - 5. What is the least common multiple of 5 and z(t)?
55
Let h = -6720 + 6820. Calculate the least common multiple of h and 52.
1300
Let z = -33 + 48. Suppose -97*c = -2704 + 1152. Calculate the smallest common multiple of (-1)/1 + z/3 and c.
16
Suppose f = o + 2 - 3, 3*f = 4*o - 8. Suppose -f*u + 2*t + 126 = 0, 0*u = -u - t + 36. Calculate the lowest common multiple of u and 33.
33
Let g(f) = 4*f**3 + 105*f**2 + 28*f + 61. What is the least common multiple of 3574 and g(-26)?
32166
Suppose -k - x - 62 = 0, -x = -0*x + 2. Let a = -42 - k. Suppose 5*o + 1 = -5*z + 6, -3*o = 4*z + 2. What is the least common multiple of o and a?
18
Find the common denominator of -3 - (79/22 + -2) and 33/(-2)*(-7)/(-21).
22
Let l = -245 - -246. What is the common denominator of ((3 + 124/(-42))*-59)/l and -25/8?
168
Let p(j) = -j**3 + 106*j**2 + 126*j - 1277. What is the lowest common multiple of 1386 and p(107)?
8316
Let n(c) = -3*c**2 + 19*c - 1. Let a be n(6). Suppose z - 6 = -5*t + 3*z, 5*t = a*z. What is the least common multiple of 20 and t?
20
Find the common denominator of -127/114 and 14220/(-9900)*(82/(-36) + 2).
3762
Let p be 501/(-3) + (-14)/(-2). Let r = p + 192. What is the smallest common multiple of 12 and r?
96
Let n(x) = 91*x + 5468. Let b(w) = 2*w**3 + w**2 - 2*w + 3. Calculate the least common multiple of n(-60) and b(3).
120
Suppose 10450 = -295*z + 306*z. What is the lowest common multiple of z and 380?
1900
What is the common denominator of (31808/639 - 68)/((-26)/6 + 1) and (-28)/(-23) + (-2)/6?
345
Let o be (3/(-2))/((-1)/(-2)). Calculate the common denominator of (-20)/(-3)*(-252)/1470 and (-34)/4*4/o.
21
Suppose n + f - 8 = 0, 4*n + 2*f - 19 = n. Suppose 59*d + 5*d - 512 = 0. Suppose d = -n*k + 56. Calculate the smallest common multiple of 2 and k.
16
Let m be ((-14)/11)/(96/1923664). Let k = m + 25501. Calculate the common denominator of k and -61/75.
825
What is the common denominator of ((-2)/(-12) - 13375/87954)/((-8)/196) and 49/24?
3288
Suppose 0 = -m + 4*k + 28, -2*k + 10 = 5*m - 108. Let b = -2768/9 - -11327/36. Calculate the common denominator of 8/m + (-219)/(-576)*2 and b.
96
Suppose -161*w + 179*w - 100 = -28. Calculate the lowest common multiple of w and 400.
400
Let m be (-2)/((-3)/(-18)*3). Find the common denominator of (-174)/(-4)*(-1)/m and (171/60)/(6/16).
40
Let u(v) = v**3 - 11*v**2 + 43*v - 6. Let m be u(5). Calculate the common denominator of 7/(-2 - 33)*(m - 2) and ((-66)/(-5))/(6/(-4)).
5
What is the common denominator of (-8)/(-368)*23*57/870 and 49/18?
5220
Calculate the lowest common multiple of (3 - -1)/(21/(422541/38)) and 2471.
14826
Let c = 4739 + -4734. Calculate the least common multiple of 1769 and c.
8845
Suppose -3489 = -7*b + 2895. Find the common denominator of (-2043)/b + (-3 - 25/(-5)) and 39/4.
304
What is the smallest common multiple of ((-11)/5)/(8/(-10)*(-15)/(-60)) and 7650?
84150
Let d = -274183/90 - 67447/45. Let q = -4534 - d. Find the common denominator of q and -71/3.
30
Let x be (1211/5)/(12/(-21)). Let s = x - -1993/5. What is the common denominator of ((-270)/(-5) - -4)/5 and s?
20
Let s = 48/4159 + -613999/948252. What is the common denominator of s and 121/798?
1596
Suppose -5*o - f = -4456, -56*f + 3565 = 4*o - 55*f. What is the smallest common multiple of 27 and o?
891
Suppose 3*o + 0*o - 45 = 0. What is the least common multiple of 51 + (12/(-14))/(42/(-196)) and o?
165
Suppose -2*a - 788 = -2*i, 330 = -4*a - i - 1261. Let s be (-4)/10 - a/5. Let g = -73 + s. Calculate the smallest common multiple of g and 16.
48
Let n(y) = 5*y**2 + 4*y - 5. Let u = -97830 + 97842. What is the least common multiple of u and n(-5)?
300
Find the common denominator of -13/132 and ((-5275)/(-844))/((-132)/10).
264
Suppose -16 = 4*r, 3*r + 176 = 4*b + 8*r. Suppose 2*z = 2*o - 3*z + b, 0 = 2*z - 10. Find the common denominator of -81/2 and 28/60 + o/18.
10
Let n(q) = 3*q - 12. Let v be n(5). Let z(c) = c**2 - 3*c. Let w be z(v). Suppose -4*u + 32 + 4 = w. Calculate the lowest common multiple of 7 and u.
63
Suppose -4*f = -2*k + 15 - 471, 4*k + 564 = 5*f. Suppose -f + 44 = -4*v. What is the least common multiple of 236 and v?
2124
Let a = -17 + 125. What is the smallest common multiple of 3*12/a*(12 - 0) and 9?
36
Calculate the common denominator of 7/(-140)*-5 + 167/(-304) and -27/128.
2432
Calculate the common denominator of (-575)/5060*206/(-1470)*-3 and -67/2464.
17248
Let p be (1/2)/((-13581)/1782). Let d = p - 28885/12072. What is the common denominator of 35/72 and d?
72
Let m = 4152499/222 - 18705. Calculate the common denominator of -127/144 and m.
5328
Let p(f) = 39*f - 78*f - 2 + 35*f + 3*f**2 - 5*f**2. Let d be p(-3). Let i = d - -19. What is the least common multiple of i and 14?
154
Calculate the least common multiple of 100 and 15 + (-1 + 1 - -405).
2100
Let i = -107/94 + 13515/188. Let f = i + -1187/16. Find the common denominator of -109/18 and f.
144
Let n be -28 + (-1 - -2 - 0). Let r = -65 - n. What is the common denominator of -1 + 4 - (-2)/10*r and 55/2?
10
Let l = -153590/9 - -17067. What is the common denominator of 22/73 and l?
657
Let u = -4646 - -4700. Calculate the smallest common multiple of u and 126.
378
Let u(w) = w**2 - 4*w - 12. Let p be u(6). Suppose p = -2*o + 257 - 65. Find the common denominator of 11/4 and (450/128)/(72/o).
16
Let p = -23365/6 - -3918. What is the common denominator of p and -13/304?
912
Let d(o) = o**3 + 6*o**2 - 21*o + 12. What is the least common multiple of d(-8) and 18?
468
Find the common denominator of 69/64 and 49374/49140 + (-2)/24.
2240
Let m be ((-54)/(-5))/(4/(-20)). Let c = m - -74. Calculate the smallest common multiple of 14 and c.
140
Suppose 0 = 2*h + c - 482, 291 + 195 = 2*h - c. Let t = h + -234. Calculate the lowest common multiple of 330 and t.
1320
Let n(x) = -x**3 + 11*x**2 + 26*x + 21. Let c be n(13). Calculate the lowest common multiple of 125 and c/3 - 4/2.
125
Let o = 823/26 - 12731/364. What is the common denominator of o and -2 + (-3)/72*94?
84
Let c be 95800 - (4 + -2 + 1). Let v = -522955821/5459 + c. Let n = 322137/152852 - v. Calculate the common denominator of n and 32.
28
Let m be (4491/(-15) + -1)/(2/(-5)). Let q = m - 745. What is the smallest common multiple of q and 12?
12
Let b = -3989 + 5605. What is the lowest common multiple of 18 and b?
14544
Suppose 7*c - 412 = 3*c. Suppose -2*v + 34 = a - 21, 5*a = 4*v - c. Let t = v - 4. Calculate the least common multiple of t and 6.
138
Let p = 39 + -34. Find the common denominator of -53/33 and (-1 - 2) + ((-142)/p)/(-2).
165
Let l = 4191 - 4173. Calculate the lowest common multiple of l and 18.
18
Let m(o) = -2*o**2 - 15*o + 10. Let w be m(-9). Let f = 15 + w. What is the common denominator of -23*((3/81 - -2) + f) and -65/18?
54
Suppose 0 = -9*c - n - 530 + 3228, 2*n + 4 = 0. Calculate the least common multiple of c and 18.
900
What is the common denominator of 44/9 and (-6)/((-7)/(84/18)) + (-2039)/501?
1503
Let x = 2448 - 2439. What is the smallest common multiple of 11 and x?
99
Calculate the common denominator of (2/1)/(-10)*198/(-5616)*4 and 11/2.
390
Let u be 2/4*(-186)/(-4 + 1). Suppose u = 5*r - 79. What is the smallest common multiple of 11 and r?
22
Let s(k) =