 m = -78 + 83. Suppose 3*n = m*n + 4*g - 30, 0 = -4*n - 2*g + 84. What is the lowest common multiple of -2 - (-4 - (-3 + n)) and 34?
374
Let t be 0 + 3 - (-1 + 229). What is the common denominator of ((-1)/16)/((-33)/(-6116)) and t/28 + (-5)/(-20)?
84
What is the common denominator of (-12)/(-72) + 166/(-36) and -38/1301?
11709
Let l = -7252253/10965 + 2/10965. Let m = 654 + l. Find the common denominator of m and -7/9.
45
Let t = 228/5 + -1749/40. Suppose -2*u = -29 - 51. What is the common denominator of t and 30/u*86/(-39)?
104
Suppose -3*j + 225 = -k, -391 = -330*j + 325*j - k. What is the smallest common multiple of j and 572?
4004
Suppose -3*g + 15 = 0, 4*g = 5*q - 145 + 30. Let c be 17 + -3 + (-1)/1. Let b = -5 + c. What is the lowest common multiple of b and q?
216
Let d be (-3 - -2) + 2/2. Suppose -4*y + y + 6 = d. Suppose -1610*b + q + 12 = -1608*b, -b - 3*q - 8 = 0. Calculate the smallest common multiple of b and y.
4
Let g(n) = -3*n**3 - 4*n**2 + 17*n + 51. What is the least common multiple of g(-4) and 150?
5550
Suppose -3*k + 2 = 4*d - 13, 0 = 3*d + 2*k - 12. Calculate the least common multiple of d and 798.
798
Let f be (-90)/25 + (-9)/(-15). What is the common denominator of 17/24 and (f/(-60))/(42/675)?
168
Let u = -1277/80 - -209/16. What is the common denominator of 38/21683 and u?
216830
Suppose 12956 - 13436 = -10*l. Calculate the least common multiple of (-9)/(-36) + (-2)/((-8)/351) and l.
528
Let x = -45295/3736 - 1/934. Let o(m) = m**3 - m - 6. Let w be o(0). Calculate the common denominator of ((-423)/(-84))/(w/(-4)) and x.
56
Suppose -3*s = -d - 51, d + 3*s + 75 = -0*d. Suppose 0 = -19*x + 1449 + 1624 - 2465. Calculate the common denominator of 109/12 and (d/x - -2)/((-15)/(-1220)).
24
Suppose -78*c + 24 = -74*c. Suppose 5*g - 3*f - 46 = 0, -3*g + 29 = 3*f - 13. What is the lowest common multiple of g and c?
66
Suppose 47124 = -153*v + 351*v. Calculate the smallest common multiple of 3128 and v.
21896
Suppose 53*a + 96*a = 14*a - 405. Let i(y) = 9*y + 3*y**3 - 3*y**3 - y**3 + 6. Calculate the least common multiple of i(a) and 4.
12
Let z(j) = -6*j**2 + 219*j + 392. What is the smallest common multiple of 1775 and z(38)?
3550
Let j = -197940 - -26127935/132. What is the common denominator of j and 31/99?
396
Suppose -4*p + 21 = -3*u, -u = -4*u + 15. Let k(z) = -z - 2. Calculate the least common multiple of p and k(-4).
18
Suppose 4*l - 8 = 5*s - 26, 2 = 5*s + 4*l. Suppose -107*n - 369 = -110*n. Suppose 122*j + 8 = n*j. What is the least common multiple of j and s?
8
Let r = 66 - 30. Let o = -34 + r. Suppose 3*i - 4*n = 34, i + 18 = o*i - 3*n. Calculate the lowest common multiple of i and 6.
6
Let v = -1776 + 10687/6. Let h(b) = -b**2 - 12*b - 44. Let x be h(-12). Calculate the common denominator of (-3 + (-153)/x)*-4 and v.
66
Suppose 4*c - 84 = 4*g, 0 = 4*g - 2*g - 6. Let x(d) = -28*d + 680. What is the lowest common multiple of x(24) and c?
24
Suppose 0 = 21*u - 138*u + 194922. What is the smallest common multiple of u and 7?
1666
Suppose -6*m + 1350 = 19*m. Suppose 0 - m = -27*v. Let c(r) = r**2 - 7. What is the lowest common multiple of c(-5) and v?
18
Let p be (9/(-2) + 4)*8 + 82. Suppose -p = 167*t - 170*t. What is the smallest common multiple of 102 and t?
1326
Suppose 2*x - 318 = 2*v - 5*v, v + 4*x = 86. Calculate the lowest common multiple of v and 38.
2090
Let d be 14/91 - (-654)/(-3406). Let u = 6444/655 + d. What is the common denominator of -58/5 and u?
5
Suppose -2*c = 0, 2*v = -0*c + 4*c - 24. Calculate the common denominator of (-43)/v + 58/(-116) and -107/56.
168
Let j = -3375283/66 + 51143. Calculate the common denominator of (0 - 1)/((-462)/406) and j.
66
Let z be ((-49)/8)/(((-144)/(-12))/(-48)). Let q = -46 + z. Calculate the common denominator of 43/11 and q.
22
Let h = -87/184 + -4967/10120. Calculate the common denominator of -6 + (-11)/((-4840)/2752) and h.
55
Let t = -14 - -25. Let h = 365 + -346. Calculate the least common multiple of t and h.
209
Suppose -5*g + 40 = -0*g. Let y(j) = 4*j - 12. Suppose -l = -4*n + 77, -22*l + 20*l = -3*n + 64. Calculate the lowest common multiple of n and y(g).
180
Let a = -3610 - -28843/8. Let b be 2*(-2)/(-14) + 349437/(-1386). Let s = b + 679/3. Calculate the common denominator of s and a.
8
Let k be 13/(-2) - (-13)/26. Suppose 11*l - 296 = 45. Calculate the least common multiple of l and k/(-8) - 185/(-20).
310
Let y(j) = -j**3 - 26*j**2 + 74*j + 1277. Suppose -54 = 2*s - 1190. What is the smallest common multiple of s and y(-27)?
568
Let d = -2/1927 + 63601/9635. Let k = -560047/42 - -40012/3. Calculate the common denominator of d and k.
210
Let z(a) = -a**3 - 6*a**2 + 4*a + 15. Suppose 4*x = -16, 7*y + 4*x + 46 = 2*y. Let h be z(y). Find the common denominator of ((-68)/h - (3 - -1)) + 4 and 56/3.
9
Let z = 972/907375 - -6/1037. Calculate the common denominator of z and -27/250.
1750
Suppose 5*t - 112 = 2*b, -205*b + 208*b - 132 = -5*t. Calculate the lowest common multiple of 12 and t.
24
Let n = 10/35001 + 524945/245007. What is the common denominator of n and ((-2)/8 - -1)*-58?
14
What is the common denominator of 41/416 and (-2010195)/(-4178304) - (-8)/(-18)?
1664
Let k = 6/3421 + -120167/246312. Calculate the common denominator of 139/48 and k.
144
Let u = 209519/18 - 11637. Find the common denominator of -28/11 and u.
198
Let z be 9/(-10446)*(-12)/9. Let v = 50497/6964 - z. What is the common denominator of (-4)/(-10) - (-1535)/1100 and v?
44
Suppose -5*a - 177 = 1293. Let i = 2265 + -13577/6. Calculate the common denominator of i and (-3)/(-2)*a/(-9).
6
Suppose -y + 3*t + 60 = -5*y, 2*y = 2*t - 30. Let d be (4 - (-55)/y)/(2/54). Suppose -d*b + 36 = -6*b. What is the lowest common multiple of 8 and b?
24
Let x be 1 + 8679/(-21) + 4/14. Let c = -676 - x. Find the common denominator of 49/3 and 4/(-1) + (-385)/c.
24
Let f = 22667 + -17970. What is the least common multiple of 427 and f?
4697
Let c = -34 - -50. Suppose -120*b + 17099 + 6925 = 342*b. Calculate the least common multiple of c and b.
208
Let z(f) = 3*f + 1. Let a be z(1). Suppose -a*d = -d. Suppose 4*g = 4*i + 48, d*g - 4*g + 42 = -i. What is the smallest common multiple of g and 4?
20
Let g = 102437/333500 + -3/11500. What is the common denominator of -101/80 and g?
2320
Let g = -5 + 9. Let o be (-1 + -5)/(-1) + (-17 - -15). Suppose c + 80 = 5*d - o*c, d = 4*c + 10. What is the least common multiple of g and d?
36
Let r = -372246839/1740 - -213935. Find the common denominator of r and 41/3480.
3480
Let p = 204287/858 + -3112/13. Suppose -x + 4*d = -1384 + 3462, 3*x + 6218 = -4*d. Let a = x - -33225/16. Calculate the common denominator of p and a.
528
Let l = 24840 - 24833. Let q = 7 + 1. What is the lowest common multiple of q and l?
56
Let t(p) = -11*p - 11. Let v be t(-1). Suppose v = 2*h - 12*h + 40. Suppose 6*y - 24 = h*y. What is the smallest common multiple of 3 and y?
12
Calculate the lowest common multiple of 2 and (((-122)/1220)/(1/(-38770)))/(1 - 0).
7754
Suppose -21 = -129*s + 130*s. What is the least common multiple of s*(-16)/(-12)*18/(-24) and 15?
105
Let k = 544 + -499. Suppose -3*i + 165 = k. Calculate the least common multiple of i and 10.
40
Let p = 10460 + -125603/12. What is the common denominator of p and ((-903)/72)/7 - -3?
24
Let b be (2 - 1)/(6*4/48). Suppose -b*h + x = 0, -3*x = -h - 7*x + 18. Suppose 8*r - 30 = h*r. Calculate the least common multiple of 12 and r.
60
Suppose 10*o = 18*o + 1616. Let b = -186 - o. What is the least common multiple of 184 and b?
368
Let o = -108 + 190. Suppose 0*n = 2*n - w + 164, n - 4*w + 96 = 0. Let x = o + n. What is the lowest common multiple of x and 102?
102
Suppose 45*d - 15 = 40*d. Let j be d/485*32/24. Let x = -32447/5820 - j. Find the common denominator of x and -71/6.
12
Suppose 646 = 5*c + 10*t - 2*t, -5*c + 4*t + 622 = 0. Calculate the lowest common multiple of c and 201.
8442
Suppose -4*f - 4*t = -92, -5*f + 4*f + 2 = -2*t. What is the least common multiple of 9776 and f?
9776
Calculate the common denominator of (-24 + (-22428)/(-987))*(-8)/(-20) and 79/82.
3854
Let u(o) = 3*o**2 + 3*o - 1. Let x be u(1). What is the common denominator of (-3*170/300)/((-2)/x) and (1 + (-14)/4)/(-16)?
32
Let j = 36009/140 - 1763/