et b = t - -65112/9287. Find the common denominator of b and -20/9.
2259
Suppose 184 = 4*q - 8*r, -29*q - 4*r + 78 = -26*q. What is the lowest common multiple of q and 2006?
2006
Suppose -4*a + 12*a + 1792 = 0. Find the common denominator of 9/(-160)*a/24 and -89/15.
120
Let u(m) = -m + 35. Suppose -18 - 2 = -4*b. Let o be u(b). Suppose -4*f + f = -o. What is the smallest common multiple of f and 10?
10
Suppose 0 = 4*i - 10*i + 186. Calculate the smallest common multiple of 16 and -32 + i - (-42 + 2/2).
80
Suppose -l = 4*t - 5*t - 1727, -4*t - 4*l - 6916 = 0. Let z = t - -31133/18. Let f = -3/17008 + -756829/153072. Calculate the common denominator of f and z.
18
Let b be (-2)/(-6) + 3212/12. Suppose -5*l = 3*v - 375, -4*l - v + b = -5*v. What is the lowest common multiple of l and 3?
72
Suppose 451 = 12*l + 19. What is the common denominator of -5/18 and (639/504 - 1)*154/l?
144
Let t(h) = -53*h - 177. Let i(l) = 35*l + 118. Let p(q) = 8*i(q) + 5*t(q). Calculate the lowest common multiple of 8 and p(-3).
56
Suppose -5*y - 27 - 93 = 3*s, 24 = -y + 4*s. What is the common denominator of y and -47/283?
283
Suppose p = -1 + 5. Let m(q) = q**3 - 2*q**2 - 6*q + 8. Calculate the least common multiple of 4 and m(p).
16
Let j = 186 + -192. Let c = j - -15. Suppose -68 + 0 = -4*t - 4*p, -p = 1. Calculate the lowest common multiple of t and c.
18
Let z = -62585/8 + 7818. Calculate the common denominator of z and 41/115.
920
Let s(q) = q**3 - 10*q**2 + 11*q - 13. Let k be s(9). What is the common denominator of (2/k)/(62/50) and ((11 - 22) + -8)/((-16)/6)?
248
Let q = 48 + -31. Suppose -p = j, 7*p - 12*p = -j - 24. Calculate the common denominator of p and q.
1
Let x be (-6)/3 - -2 - -2. Suppose v - p - 296 = -4*v, -x*v - p + 124 = 0. What is the lowest common multiple of 36 and v?
180
Suppose 45*y = 26*y + 3895. Let b = y - 119. What is the least common multiple of b and 7?
602
Let i = -250/4363 + 672982/6871725. What is the common denominator of i and -52/315?
1575
Let m = -186/29 + 21038/3045. Find the common denominator of 8/483 and m.
2415
Let t(q) = -366*q - 470. Calculate the lowest common multiple of 40 and t(-5).
1360
Let t be 846/12 - 9/6. Let j = 197 - t. Calculate the smallest common multiple of j and 3.
384
Let s = 104593/330 + -3456/11. What is the common denominator of 181/30 and s?
30
Let d = 427 + -427. Suppose -3*l - u + 37 = 0, -3*l + d*l - 3*u = -27. Calculate the least common multiple of l and 12/15*5*7.
28
Let f(t) = -t**3 - 10*t**2 + 11*t + 3. Let c be f(-11). Suppose -c*h + 71 = 2*l - 7*l, l + 25 = h. What is the lowest common multiple of h and 177?
1593
Calculate the common denominator of (-75)/3*((-2076)/2068 + 1) and -103/94.
1034
Let l(a) = a**2 - 14*a + 34. Let d be l(12). Find the common denominator of (-970)/(-50)*4/48*d and -81/74.
222
Let d(u) = -u**2 - 180*u + 462. Calculate the smallest common multiple of 4158 and d(0).
4158
Suppose 0 = -0*u - 4*u + 48. Suppose g = 0, -3*g = 3*d - 6*d + u. Suppose 0 = 2*y - 5*y + 24. Calculate the smallest common multiple of d and y.
8
Let x = 238 + -233. Suppose -3*t + l = -x*t - 1, -4*t + 2*l + 10 = 0. Calculate the lowest common multiple of t and 5.
5
Let w = -22 - -1. Let j be w/(-7) + -5 - (-54 - 1). Suppose -17 = -7*k + j. What is the least common multiple of 5 and k?
10
Let p be ((-826)/28)/((-2)/4). Let s = -32 + p. What is the least common multiple of s and 45?
135
Let y = -35383 - -636881/18. Calculate the common denominator of 47/494 and y.
4446
What is the lowest common multiple of ((-582)/9 - (-65)/39)/((-27)/1008) and 336?
2352
Suppose -271*t + 95*t - 3959 = -45847. What is the least common multiple of 18 and t?
2142
Suppose -398*u = -396*u + 24. Let p = u + 24. What is the smallest common multiple of 48 and p?
48
Let r be (-4)/(-1) - (8 + -2). Let w = 21 - r. Suppose 0 = -4*c + g + w + 2, -4*c + 29 = -5*g. Calculate the least common multiple of c and 4.
12
Let s = -331 - -343. Find the common denominator of 9 and ((-39)/s)/((-177)/(-42) - 4).
6
Suppose -4*h - 17 = -53, m + h - 65 = 0. What is the least common multiple of (-62)/(-8) - 2/(-8) and m?
56
Let m = -5535 - -5608. Calculate the smallest common multiple of m and 876.
876
Let z(g) = 12*g + 7*g + g + 507 - 502. Calculate the smallest common multiple of 8 and z(1).
200
Let f = 26/1013 - -6391/974506. What is the common denominator of f and 3/56?
26936
Calculate the least common multiple of (4/6*2)/((-85)/(-40290)) and 4.
632
What is the common denominator of 31/576 and ((-70)/(-48))/(13184/618)?
4608
Suppose 67536 = 16*v + 15*v - 10*v. What is the smallest common multiple of v and 8?
3216
Let u be -3 + (-1491 + -2)/(-1). Let b = -40217/27 + u. Find the common denominator of b and ((-74)/(-21))/1 + 3 + (-570)/210.
189
Find the common denominator of -29/550 and (-1070)/(-100)*(-2)/88.
2200
Let k = -5514 + 9018. Calculate the lowest common multiple of k and 219.
3504
Let p be 2/(12/8*8/30). Suppose -3*l + 3200 = p*l. What is the smallest common multiple of l/32 - 3/(-2) and 54?
378
Let k = -10214 + 10223. What is the smallest common multiple of k and 9740?
87660
Calculate the lowest common multiple of 1040 and (-366)/(-23) - 3/(207/(-6)).
1040
Suppose 14*h + 0*h = 420. Suppose 16*d - d = h. Calculate the common denominator of -87/10 and ((-1688)/(-240) - d)*10/4.
60
Let d = 8444/9 - 1401797/1494. Find the common denominator of 61/664 and d.
1992
Let n = 365 + -485. Let x = -27925/4296 - -97/179. Calculate the common denominator of 55/n + (-2 - (-10)/4) and x.
24
Find the common denominator of 6 + 1 - (0 + (468/264 - -1)) and 7/2864.
31504
Let t = -62299/210 - -1477/5. Let g = 92273/23881 + -1/4342. Calculate the common denominator of g and t.
462
Let l be (855/(-140) - -6)*-1*499. Let g = l + -17797/308. Calculate the common denominator of g and -5/202.
2222
Suppose -1611*u + 1616*u = 35. Calculate the smallest common multiple of u and 261.
1827
Suppose 129 = 38*j - 35*j. Let s = 48 - j. Suppose -1 = -3*b + 26. What is the smallest common multiple of s and b?
45
Let x be 8/((-1520)/(-139675)) - -7. Let t = 740 - x. What is the common denominator of -17/10 and t?
190
Suppose 79*r + 188*r - 215736 = 0. What is the smallest common multiple of r and 6?
2424
Let d = -1 - -17. Let y = -280 + 343. Calculate the least common multiple of d and 7/y*-6 + (-23)/(-3).
112
Suppose 4*c - 35 = -3*c. Let i(s) = 6*s - 29. What is the least common multiple of 29 and i(c)?
29
Let t = -7491893/72 - -104056. Calculate the common denominator of t and 39/44.
792
Let j = 2/674755 - 16059233/21592160. Find the common denominator of j and -97/30.
480
Let z = -35/2 - -159/4. Let c be 191988/28960 - (-3 + 5 + 2). Let w = c + -4/905. Calculate the common denominator of w and z.
8
Suppose 1281 = 2*j + 299. Let v = 957/2 - j. What is the common denominator of v and 3/23?
46
Suppose -161*u + 2359 + 3276 = 0. What is the lowest common multiple of 125 and u?
875
Let w = -2568676717/5328 + 482109. Calculate the common denominator of 1/9 and w.
5328
Let f(b) = -b**2 - 15*b + 29. Let j be f(-15). Let k = -25 + j. Suppose 2*t + 2*p = k*p + 38, 3*p - 33 = -3*t. What is the lowest common multiple of 30 and t?
30
Let g = -24606 - -24726. Calculate the smallest common multiple of g and 464.
6960
Let i(j) = 7*j - 1. Let t be i(-1). Let o = 148 - 152. Let b = o - t. What is the least common multiple of b and 2?
4
What is the smallest common multiple of 181182/138 + (-18)/(-207) and 117?
11817
Let c = -123149071/450 + 273665. What is the common denominator of 11/6 and c?
450
Let u be 4*3/(-6) - -32. Suppose -3*i + u = -i. What is the smallest common multiple of i and 21 + (-1 - 7) + 2?
15
Let c = -479/18 + 18013/684. Let b = -1388 - -22191/16. Calculate the common denominator of b and c.
304
Suppose -566 = 5*z - 591. Suppose 0*a + 12 = 4*a, -3*s + 12 = -z*a. What is the least common multiple of s and 33?
99
Let m(w) = 5*w - 6. Suppose 4*z - 274 = -1258. Let b = 251 + z. What is the smallest common multiple of b and m(4)?
70
Let x(m) = 673*m**2 - 247*m + 6. Calculate the lowest common multiple of 380 and x(2).
11020
Let g = 2925 + -2733. What is the smallest common multiple of g and 33?
2112
Suppose 1070*j = 1011*j + 5782. What is the lowest common multiple of 