. Suppose 5*d = -5*l + 2*l + 34, 2*l = -2*d + 16. Find the common denominator of 107/18 and (j/l)/((-28)/(-279)).
252
Let v = -26 - -26. What is the least common multiple of 8 and v - (-7 + (-1)/1)?
8
Let v(d) = -3*d**2 + 40*d - 3. Let c be v(13). Suppose c*p - 77 - 663 = 0. What is the common denominator of -145/36 and p/(-144) + (-8)/(-36)?
72
Suppose 4*u - 13 = -n, 355 - 373 = -4*u - 2*n. What is the lowest common multiple of 784 and u?
784
Suppose 16*c - 288 = -0*c. Calculate the common denominator of -69/4 and c/21 - (-9515)/(-2926).
76
Suppose 3*f + 11 = f - 3*k, -3 = f + 4*k. What is the common denominator of 55/8 and (-1 - (f - -2)) + -10 + 28?
8
What is the common denominator of 119/246 and (-605)/300*2 - (-161)/23?
1230
Suppose 15 = 37*l - 22. Let x(r) = 9*r**2 - 5*r + 4. What is the lowest common multiple of x(l) and 60?
120
Let q be (-126)/24*-2*98/120. Let g = -73/40 - q. Calculate the common denominator of g and -95/6.
30
Let b be (-72)/13212*(-2)/(8/10). Let n = 3403/7340 - b. Calculate the common denominator of n and -31/2.
20
Suppose -85*s = 22714 - 175204. Calculate the smallest common multiple of s and 10.
8970
Suppose -4*f + 86 = 2*h, 53 = 32*f - 31*f + 5*h. Calculate the lowest common multiple of 36 and f.
36
Suppose -16*t + 928 = -8*t. Calculate the lowest common multiple of t and (-8)/16 - (-7)/2*3.
580
Let l = -6/38183 - 607766/20122441. Find the common denominator of l and 23/136.
4216
Let m be (0 - 45)*(-36)/60 + -4. Suppose -25*x + 8 = -m*x. Suppose -2*r + 4 = -2. What is the lowest common multiple of r and x?
12
What is the common denominator of 172/258*(-82)/72 and (-3 - 212/10) + 4/(-30)?
54
Let u(m) = 2*m**2 - 31*m + 47. Calculate the least common multiple of u(14) and (-6)/39 + 399*48/104.
920
Let a(c) = c**2 - 9*c + 11. Let j be a(8). Calculate the lowest common multiple of (123 - 114) + (-1)/(-3) + (-19)/3 and 1 + j/(3/29).
30
Suppose 3*j - 6 = 9. Suppose 66*c + 334 = 3074 - 100. What is the lowest common multiple of j and c?
40
Let l(i) = 3*i**3 - 43*i**2 + 186*i + 26. Calculate the least common multiple of 3000 and l(12).
15000
Let o = -3 + 1. Let d be 5 - (8/4 + o). Calculate the common denominator of -52/9 and ((-22)/(-8) - d)*(-34)/(-3).
18
Find the common denominator of -41/234 and (-6)/(-21) + (-42375)/76650.
17082
Let t(q) = 378*q + 1894. What is the lowest common multiple of t(-5) and 22?
44
Let v = -59672269/286 + 208644. What is the common denominator of v and 4/165?
4290
Suppose -91 = -x - 2. Let r = x + -69. What is the lowest common multiple of r and 11?
220
Suppose -23*x = -148 + 166 - 110. What is the lowest common multiple of x and 3430?
6860
Suppose 3*f - 2*o = 127, 3*f - 2*o - 133 = -6*o. Suppose 38*z - f*z = -245. Calculate the least common multiple of 42 and z.
294
Let k = 1281 - 1289. Let a(i) = 6*i - i + i**3 + 1 + 0*i + 9*i**2 - 16. What is the least common multiple of a(k) and 6?
18
Let r be -2*(2 + 100/(-16))*-474. Let v = -1760 - r. Let k = v - 8983/4. Calculate the common denominator of -95/28 and k.
28
Suppose 4*r - 9*r - 20 = 0, 3*j - 5 = 2*r. Calculate the common denominator of 185/(-3210)*-3*j and 99/2.
214
Let d(k) = -3*k**2 - 151*k - 97. What is the lowest common multiple of 561 and d(-49)?
1683
Suppose -5*k - 5*x + 3710 = 0, -5*k = -5*x - 2249 - 1481. Calculate the smallest common multiple of k and 192.
5952
Let n be (4 + -279)*(-21 - -20). Suppose 131 = -8*k + n. What is the lowest common multiple of k and 1254?
3762
Let x(o) = 2*o**2 + 12*o - 10. Let n be x(-7). Suppose -6*r + 8 = -n. What is the least common multiple of r and 68?
68
Let m = -162 + 162. Calculate the common denominator of (1 - m)*(-3 + 49/(-140)) and -13/20.
20
Let u = -252860299544 - -98109692445039/388. Let f = u + 267469. What is the common denominator of -73/6 and f?
1164
Calculate the common denominator of (2199/(-1088))/(-1) + 6/12*-4 and -49/24.
3264
Let o(d) = 10*d + 36. Let z be o(5). Let m = -82 + z. What is the smallest common multiple of m and 16?
16
Let a be -1 + ((-4)/14 - 27888/(-196)). Let s = -121 + a. Calculate the smallest common multiple of 38 and s.
380
Let j(s) = -9*s + 2. Let u(c) = -9*c + 2. Let q(l) = -3*j(l) + 4*u(l). Let g be q(1). Calculate the common denominator of ((-8)/14)/(2/g) - -28 and 19/9.
9
Suppose 2*k = -2*j + 2, 3*j = 4*k - 31 + 6. Suppose 0 = k*p - 4*d + 1020, 5*p + 3*d = -0*d - 1235. Find the common denominator of p/24 + 2 + -1 and 103/18.
36
Let t(z) = 97*z**3 + 8*z - 7. Let g be t(1). Suppose -5*n + 2*b - 8 = -g, 2*n - 2*b - 42 = 0. What is the lowest common multiple of n and 196?
784
Let l be ((-21)/(-27) + 2/9)*458. Let a = -413 + l. Calculate the lowest common multiple of a and 8.
360
Let z be 30/(-4)*(-8)/(-12). Let w be 1/z - 74041/5170. Let j = w + -44/141. What is the common denominator of j and -37/12?
12
What is the common denominator of (-8)/(-14688)*303/(-2) and 1/1428?
8568
Let v(u) = u - u + 17*u - 10*u + 48. What is the smallest common multiple of v(12) and 33?
132
Let z be (-2)/(-20) - 10/100. Suppose z = -17*y + 18*y - 9. What is the lowest common multiple of y and 93?
279
Let w be (-3681245)/(-225) - (-1 + 16/12). Let t = w + -16359. What is the common denominator of 6/35 and t?
315
Let m = 7932 - 428377/54. Let y = -17920 - -913972/51. Calculate the common denominator of m and y.
918
Let l = -883 + 1387. What is the common denominator of 45/16 and (-30)/l*17/2?
336
Let o = 1157/5 - 10328/45. Let c = -3175/4 - -22097/28. What is the common denominator of c and o?
63
Find the common denominator of (40 - 45) + 3670/336 - 5 and 173/672.
672
Let n = 6 + -5. Find the common denominator of (5 - 15)/(1/(8/36)) and -2 - 78/(-20)*n.
90
Let r(h) = -h**2 + 25*h - 73. Let g be r(20). What is the common denominator of 113/6 and g/(-18) + 2740/1915?
2298
Let p(r) = 292*r**2 + 6*r + 2. What is the smallest common multiple of p(1) and 10?
300
Suppose -32*x = -37*x + 15. Let v(d) = 2 - 6 + 2*d + d**3 - 4*d**2 + x - 5. Calculate the smallest common multiple of v(4) and 9.
18
What is the common denominator of 96/(-52) + 2 - 14482/(-9126) and 8/63?
189
Let f = -6 + 24. Let j(k) = 23*k + 104. Let o be j(-4). Suppose -o*g - 672 = -40*g. Calculate the lowest common multiple of f and g.
72
Suppose -3*p = 5*f - 644, 3*p + 656 = -238*f + 243*f. Calculate the lowest common multiple of 1092 and f.
5460
Let f = 41777/18 + -2320. Find the common denominator of f and (75/2100)/((1 + -5)/208).
126
Let o = -11692 - -210545/18. Find the common denominator of 2392/(-400) + 12/2 and o.
450
Let i = -43 + 820/19. Find the common denominator of i and -6*13/(507/(-26)) + (-17)/12.
228
Let j(k) = 39*k - 36. Let s be j(1). Find the common denominator of 95/18 and s + (3 - 4) - (-89)/12.
36
Let h = -261 - -375. Let o = h - 111. What is the smallest common multiple of 12 and o?
12
Let o = 5291/18 + -294. Let p be 1 + -3 + 2/(-1). What is the common denominator of o and (-2)/(-30)*(-190)/p?
18
Let j(c) = c**2 - 6*c - 52. Suppose 3*a + 15 = 0, 6*z - a - 19 = 5*z. Calculate the smallest common multiple of 160 and j(z).
480
Let o(u) = u**2 - 8*u - 5. Let i be o(-11). Let f = i + -177. Calculate the smallest common multiple of 12 and f.
108
Let k = -27798 + 28356. What is the lowest common multiple of k and 558?
558
What is the common denominator of 139/1674 and (-1)/(7812/(-6850)) + 414/(-483)?
1674
Let c = -70 + 72. Let m be 4/(-1) - c*2228. Let u = m + 133853/30. Calculate the common denominator of 59/4 and u.
60
Suppose 0 = -7*b + 9*b - 4*i - 88, 46 = b - 3*i. Suppose 111 = -4*h + 271. Calculate the lowest common multiple of h and b.
40
Suppose -12*y = -11*y - 277. Let k = y + -265. Calculate the smallest common multiple of 66 and k.
132
Suppose 26*r = -0*r. Calculate the common denominator of 2625/(-504) - (-3 + r) and -59/12.
24
Suppose 3*o + 57600 = 42*o + 11*o. Calculate the least common multiple of 160 and o.
5760
Suppose -w - 2*w = 81. Let j = w - -15. Let t = j + 30. Calculate the least common multiple of t and 2.
18
Suppose -89*i = 12*i - 10056 - 10144. Calculate the smallest common multiple of i and 2700.
5400
Let r = 608 + -609. Let w(t) = -1 + 2 - 5*t + 0. What is the lowest common multiple of 28 and w(r)?
84
Suppose -3*r - 1310 = -i - 1410, 0 = 5*r + i - 188. Let v(a) = 2*a**