Suppose -x = 3*m - 394 + 62, -2*m + 236 = -3*x. Calculate the least common multiple of m and (24300/2187)/(15/216).
1120
Calculate the common denominator of 83/70 and 5 - -1 - ((-1)/(-35))/((-35072)/(-7386560)).
19180
Let r = 53441/54 - 2968/3. Calculate the common denominator of 91/30 and r.
270
Let b = 30 + -26. Suppose 2*w + 2*x - 10 = -w, -b*w - 2*x + 12 = 0. Calculate the lowest common multiple of 45 and (-68)/17 - 1/(w/(-50)).
315
Suppose 0 = 217*t - 219*t - 8, -4*o - 5*t + 32 = 0. Let l(d) = -2*d - 4. What is the smallest common multiple of o and l(-7)?
130
Find the common denominator of (118/531)/((-16)/1602) and -31/8350.
16700
Let n = 793/6 + -133. Let z = -134633/9 + 14952. What is the common denominator of z and n?
18
Let j = 672097/156 - 4309. Find the common denominator of j and 19/1586.
9516
Let i = 563 - 472. Suppose i = -10*r + 23*r. Calculate the least common multiple of 137 and r.
959
Let j(i) = -7*i - 72. Let f(r) = 57*r + 573. Let a(c) = -4*f(c) - 33*j(c). What is the lowest common multiple of a(16) and 8?
264
Find the common denominator of 2/(-3)*(367926/(-9880))/(-53) and 191/570.
570
Suppose 0 = 4*f - 4*y, -2*f = 2*y + y - 20. Suppose d + 7 = f*g, -4*d + 0*d = -5*g - 5. Calculate the common denominator of g + 2 + (-645)/140 and -113/10.
140
Let y be 1736/(-32) - (-1)/4. Calculate the common denominator of 5/9 and (51/y)/(8/(-6) - 0).
72
Suppose -8542 - 1502 = -124*w. Calculate the least common multiple of w and 30.
810
Let t = -10658/9 - -1178. Suppose -3*a + 26 = 668. Calculate the common denominator of (177/180 + -1)*a and t.
90
Let p = -59984 + 8157787/136. Find the common denominator of p and -43/1275.
10200
Suppose -4*s = 14 + 2. Let k be 1/(s - 5724/(-1432)). Let n = k - -17859/50. What is the common denominator of n and -35/4?
100
Let u be 1 + 2 - (6 - 5). Suppose 0 = 3*w + 3*t + 48, -5*w = -u*w + t + 48. Calculate the common denominator of -9/11 and w/6 + (-4)/24.
66
Let u = -82147/21 - -3911. Let q = -1/195167 + -192629812/3317839. Let j = 13972/255 + q. What is the common denominator of u and j?
105
Suppose 0 = 99*z - 98*z - 92 - 262. What is the smallest common multiple of 4484 and z?
13452
Suppose -3*a + 1 = -3*u - 11, 0 = -2*a + 4*u + 12. Suppose -40 = a*g - 3*g. Let j = -331 - -341. Calculate the lowest common multiple of g and j.
40
Suppose 3*i = -15, 0 = -2*w + 4*i - 668 - 590. Let z = 655 + w. Suppose -32 = -5*g + g. What is the smallest common multiple of z and g?
16
Suppose -16*s - 1316 = -228. Calculate the common denominator of (11 + -7)/16 + 59/s and -79/10.
170
Let q = -7 + 1. Let b = 52394 + -52372. What is the least common multiple of (1 - (-14)/q)*-3 and b?
44
Let p be (1/3*-17)/((-2)/6). Suppose f + 20 = p. Find the common denominator of f - (64/(-13) + 2) and -41/9.
117
What is the common denominator of 1/6 + (-3008)/3072 and -139/2268?
9072
Let t be -1 - ((-44728)/144 - (-6)/(-4)). Let f = -8428/27 + t. Let j = -4511/204 - -400/17. What is the common denominator of f and j?
108
Let q be (693/(-44))/((-3)/(-12)). What is the common denominator of 2*q/(-196)*(-14)/(-276) and -58/3?
276
Let c = 263 + -325. Calculate the common denominator of 186/c + (-21)/(-8)*2 and ((-4)/6)/((-4)/137).
12
Suppose -3*r - 6 = 24. Calculate the least common multiple of r/(-40) - 595/(-20) and 100.
300
Let p = 384084261/2501525 + -9/200122. Let o = p + -155. Calculate the common denominator of 21/2 and o.
50
What is the least common multiple of 256 and 18/(-27)*2*-528?
2816
Let f = 2359 - -1249. Calculate the lowest common multiple of 738 and f.
32472
Let p(z) = -z**2 - 64*z - 385. Calculate the least common multiple of 490 and p(-7).
490
Suppose -15*x + 35*x = 2960. Find the common denominator of (2/4)/(-1 + 96/x) and 27/10.
130
Let l be (2 + (-1930)/(-32))*(-6)/375. Let d = -7/250 + l. What is the common denominator of d and -11/40?
40
Let b = -415331 - -1081937268/2605. Let y = 54327/28655 - b. Let j = y + -9/5. Calculate the common denominator of j and 77/12.
132
Suppose 41*g + 1228 = 45*g. Let u = g - 2465/8. Calculate the common denominator of -103/10 and u.
40
Suppose -3*u = -2*b - 25, -5*b = -12*u + 15*u + 10. What is the least common multiple of 78 and (44 - (b - -5))/2?
858
Let r(h) = 6*h - 2. Suppose 3*t = 2*c + 2230, 6*t + 2222 = 9*t + 2*c. Let u = t + -736. What is the lowest common multiple of r(4) and u?
66
Let z(i) = i**3 - 4*i**2 - 18*i - 14. Let j be z(7). Calculate the lowest common multiple of 20 and (j/(-7))/(4/(-80)).
20
Let g(l) = 3*l**2 + l + 9. Let u be g(-4). Let d = 52 - u. What is the common denominator of (3/d)/(68/18 - 2) and 99/8?
16
Suppose -10827*r - 384 = -10875*r. What is the least common multiple of r and 3143?
25144
Suppose -4*w - 1254 = 478. Let z = 517 + w. What is the smallest common multiple of 78 and z?
1092
Let z = -2775958184/904177935 - -14/2945205. Let c = z - -42/307. Find the common denominator of c and 73/45.
45
Calculate the common denominator of ((-225)/10)/(-9) - (-1 + (-45)/66) and 10/51.
561
Let o be (23997/45 + (-4)/(-10))*5. Let u = o + -2691. Let f = -44953/21 - -2140. Find the common denominator of u and f.
21
Calculate the common denominator of (243/30)/(3 - 9) and -6 + ((-4385)/(-580) - 2).
580
Suppose -7 - 9 = -x. Calculate the least common multiple of 38 and ((-66)/(-9) - 2)*60/x.
380
What is the common denominator of (-71)/1349 - (46125/190)/(-5) and 1/(-3) + 91/(-6)?
2
Suppose 4*g = -2*m + 1318 - 134, g + 5*m = 287. What is the least common multiple of 594 and g?
594
Suppose -5*n + 1032 = -3*x, n - 5*x + 76 - 256 = 0. What is the least common multiple of n and 70?
210
Suppose -5*t - 5235 = -3*c, 0*c + 4*t = c - 1738. Suppose -c = 2*x + 5*x. What is the common denominator of -32/27 and x/(-12) - (-18 + 15)?
54
Let m = 26101/4400 + 3/550. Let k = -15222359/194 - -78466. Calculate the common denominator of k and m.
1552
Let g be ((-6)/5)/((-15)/(-125)). Find the common denominator of 4/g + 1/((-315)/54) and -59/49.
49
Let i = -7/188 + 17/141. Find the common denominator of 4/57 and i.
228
Let l = -6371 - -44552/7. Calculate the common denominator of 95/2194 and l.
15358
Let k = 20771/105 - 1409/7. Let n = -11/5 - 84/55. Find the common denominator of k and n.
165
Let k = 33 - 27. Let i(x) = 12*x**2 - 128*x - 2. What is the smallest common multiple of k and i(11)?
42
Suppose -z + 15 = -3*c, 4*z + c - 36 = 5*c. Let d(t) = -8*t**2 - 9*t - 348. Let y be d(0). What is the common denominator of (z/64)/((-2085)/y - 6) and -41/32?
32
Let y(h) = 29*h**3 - 137*h**2 - 15*h - 21. What is the least common multiple of y(5) and 533?
4264
Let n be 14006/(-12) - (-4 - 0). Let h = n - -1156. What is the common denominator of -8/3 and h?
6
Let w be (-5)/(-191940)*94118 + (6 - 5). Let u = -2/3199 - w. Find the common denominator of u and 113/90.
630
Let m = 81 - 48. Let o(p) = -p**2 - 5*p + 8. Let j be o(-5). Let f = j + 1. Calculate the smallest common multiple of m and f.
99
Let k = 3/19111 + 87929699/76444. Let u = k - 1144. What is the common denominator of (-1665)/(-100) + 4/(-10) and u?
4
What is the lowest common multiple of 22 and (101670/100)/((-22)/(-440))?
223674
Let l(j) = -118*j + 3561. Calculate the lowest common multiple of 1547 and l(30).
4641
Let t = -15/2468 - -92745/32084. Find the common denominator of -83/1274 and t.
1274
Let h be 171/19 + 4/2. Let n(z) = -z**3 + 5*z**2 - 5*z + 4. Calculate the lowest common multiple of ((-22)/h + (-16)/(-6))*15 and n(3).
70
Suppose -r = 4*v + 6015, -v + 5*v = 3*r - 6019. Let d be 2 - (-3)/(-2)*v/48. Let x = -48 + d. What is the smallest common multiple of 10 and x?
10
Let b = 14832 + -534005/36. Calculate the common denominator of b and 17/18.
36
Let r be (-753653)/(-12098)*(-3)/366. Let c = 4/16043 - r. Calculate the common denominator of 1138507/(-108852) + 2/47 and c.
276
Let l be (0 - 2/(-4)) + 135/(-6). What is the least common multiple of 4 and (7 - 3 - 5)*l?
44
Calculate the lowest common multiple of ((-32)/6)/(1416/(-531)) and 711.
1422
Let z = 1574922761/2069 + -761200. Find the common denominator of 65/9 and z.
18621
Let l = 2754765 + -14900523821/5409. Find the common denominator of l and -10/5409.
5409
Suppose 3*i = -2*i - 15, 2*x = i + 955. Let d = -12 + x. Calculate the lowest common multiple of d an