 the least common multiple of u and x?
154
Calculate the common denominator of -83/1896 and 6/1 - 16/(1920/477).
9480
What is the common denominator of 38/(-6) - (-24)/16 and ((-4)/14)/((-10)/140) - 78/4?
6
Let i(a) = -a**3 + 6*a**2 + 2*a - 11. Let n be i(6). Find the common denominator of 77/18 and (-134)/(-84) + -4 + n.
126
Let a = 694 - 688. What is the lowest common multiple of 34 and ((345/12)/(-5) + a)*24?
102
Let t(n) = 15 + 18 + 2*n + 5 + 5*n - 64. Suppose 4*o - 6 = -2, 4*w + 3*o = 35. What is the smallest common multiple of t(w) and 18?
90
Let w = -12227 + 12731. What is the least common multiple of 22 and w?
5544
Suppose t - 24*b - 732 = -21*b, 704 = t + 4*b. What is the least common multiple of 33 and t?
7920
Suppose 0 = o + 5*u - 830, u = -40 + 41. What is the smallest common multiple of 550 and o?
1650
Let m(k) = -29*k**3 + 11*k**2 + 182*k + 172. Suppose -2 = -2*o - 5*d, -5*o - 5*d + 47 = -3*d. Calculate the smallest common multiple of o and m(-1).
330
Suppose 3*x - 3 = 3*z, 0 = 2*x - 0*z - 3*z. Suppose 4 = x*f + 16. What is the common denominator of (-326)/20 - (0 + f) and -79/2?
10
Find the common denominator of 13/669 and 6 + ((-24752)/5720)/(223/310).
7359
Suppose -22620 = -75*r - 41*r. Calculate the smallest common multiple of r and 338.
5070
Let u(n) = 8*n - 36. Let c be u(7). Calculate the common denominator of 34/108 + c/(-20) and 43/12.
108
Let d(u) = -u**2 - u + 14. Let g be d(0). Suppose q - 32 = -f - g, -f + 32 = 2*q. Calculate the common denominator of 167/(-12) + 42/q and -19/3.
12
Suppose x = -3, 7*i - 4*i + 5*x - 252 = 0. What is the smallest common multiple of 32 and i - (-8 - (5 - 6))?
96
Let g = -150585440/33 - -4563575. Let p = g - 381. Find the common denominator of p and 79/33.
33
Suppose -33*x = -3488 + 1244. Find the common denominator of (54/5)/3*(-153)/x and 73/15.
30
Let m be 1800/(-340)*-10*(-4)/(-10). Let n = m - 7223/374. Let f = 22/161 - 10319/1288. Calculate the common denominator of n and f.
88
What is the smallest common multiple of 200 and (-274534)/(-780) + 1/30?
8800
Find the common denominator of (-14)/4*1075/(-903)*(-12)/(-160) and -79/22.
176
Suppose -2*f - 128 = -0*f. Let s = -142 - f. Let c = s + 113. Find the common denominator of c and -7/4.
4
Suppose -471*l = 3*u - 477*l - 6246, -5*u + l + 10356 = 0. What is the least common multiple of u and 207?
2070
Let w = -3177 - -6511/2. Let k = w + -581/6. Calculate the common denominator of k and (-2)/6 - (-14)/10.
15
Let v = -45988 - -3127247/68. Find the common denominator of 49/36 and v.
612
Suppose -10*r + 28420 = -15530. Calculate the smallest common multiple of 879 and r.
4395
Let b be (-3)/5 + ((-1186)/(-10))/1. Suppose -3*s - b = -4*n, 4*s + 33 = n + 5*s. Let j = -32 - -33. What is the lowest common multiple of j and n?
31
Let w(p) = p**2 - 13*p + 30. Let s = -6 + 8. Suppose 0 = 4*j - s*j - 24. What is the least common multiple of w(j) and 14?
126
Suppose 0*k - 1954 = -3*k + 2*f, 4*k + 3*f - 2611 = 0. Let l(h) = -h**2 + 555*h + 51528. Calculate the least common multiple of l(-81) and k.
1956
Find the common denominator of -113/2744 and ((-124)/(-10))/2*(-50 + 3528150/70560).
16464
What is the common denominator of (1 - 8/9)/((-14)/(-6)) and 44/1197?
1197
Let h be -1 + (-75)/2 + -1. Let l be 24/(-16)*1719/(-81). Let m = l + h. What is the common denominator of 6/11 and m?
33
Let u be 44175/(-10)*(-2 - -5198). Let m = u - -9158373001/399. Let f = m - -463/38. Find the common denominator of f and -1/20.
420
Let n(b) = -11*b - 12. Let s(v) = -v**3 - 14*v**2 - v - 8. Let h be s(-14). Suppose h = -8*j + 9*j. What is the lowest common multiple of j and n(-2)?
30
Let j(f) = 22*f + 7. Let w be j(8). Let q = w - 159. What is the lowest common multiple of q and 18?
72
Let c(w) = 3*w**2 + 22*w + 21. Let d be c(-6). Calculate the smallest common multiple of -5 - (8 - 20) - d and 492.
2460
Let i(y) = -y**3 - 52*y**2 + 49*y - 206. Suppose -2*h + 5*l - 1 = 0, -4*h + l + l = -6. What is the smallest common multiple of i(-53) and 106/5 - h/10?
42
Let k = 89 - 62. Let y = k + -20. Suppose -4*f = -y + 3. What is the lowest common multiple of 5 and f?
5
Let s(q) = q**2 + 56*q + 541. What is the lowest common multiple of s(-46) and 189?
567
Let l = 10345 + -10295. Suppose 3*x = 52 + 14. What is the smallest common multiple of l and x?
550
Let v = -2/104435 + -3446303/2715310. Calculate the common denominator of v and 29/96.
1248
Let c = 517 - 345. Suppose -c = 4*w + 4*g, -5*g - 36 + 13 = w. Find the common denominator of 616/w*(-3)/10 and -37/22.
220
Let x = -266390/27 - -9868. What is the common denominator of 50/1617 and x?
14553
Suppose 3*d + 34 = d - v, 5*d + 72 = 4*v. Let u = -16 - d. Suppose -3*g + g + 108 = u. What is the lowest common multiple of 12 and g?
108
What is the lowest common multiple of 360 and 269 - -96 - (2*(-9)/(-6) - -2)?
360
Let n = 211/429 + -5/39. Let c = 4336/9 - 484. Let j = -46/9 + c. Find the common denominator of n and j.
33
Suppose 11*l - 7*l = -20, -h + 26 = -2*l. Suppose t = -0*t + 6. Calculate the lowest common multiple of t and h.
48
Let z = 352 + -350. Find the common denominator of (-77)/297*(-12)/z and -34/71.
639
What is the common denominator of -39/2480 and (-66)/(-1240) + 22/88?
2480
What is the common denominator of (-1179)/(-90)*(-1*52/(-24) - 2) and -53/444?
2220
Let a = -607 - -603. Calculate the smallest common multiple of (16/a)/4 + 300/3 and 27.
297
Let p = -11966 - -12182. What is the least common multiple of p and 2016?
6048
Let d = 85562/9 - 9499. Suppose r + z + 1 = 0, -r + 4*r - 2*z + 23 = 0. Calculate the common denominator of 2 - r/((-90)/28) and d.
9
Let p(f) = 12*f + 144. Let x be p(-36). What is the lowest common multiple of (1/6*4)/((-8)/x) and 66?
264
Suppose 3*q + 11*l = 8*l + 699, -268 = -q + 4*l. Calculate the least common multiple of 1440 and q.
1440
Suppose 65 + 89 = 14*l. Suppose 9*f = 43 + l. Calculate the smallest common multiple of f and 6.
6
Let o = -2640197 + 13932319618/5277. What is the common denominator of o and -17/30?
52770
Suppose -7*a = -6*a - 7. Suppose 0 = -k + 15 - a. What is the lowest common multiple of 40 and k?
40
Let q = 4 + -16. Let y be 960/44 + q/(-66). Suppose 18*h - y*h + 28 = 0. What is the least common multiple of h and 9?
63
Let h = 944 + -647. What is the common denominator of -49/2 and (h/(-10))/(-11) + -3?
10
What is the lowest common multiple of 21 and (-4 - -18)*220/40?
231
Let t = -1232867 + 5307492412/4305. Find the common denominator of t and 82/21.
4305
Let s = 107 - 333. Let t = 234 + s. What is the least common multiple of 2 and t?
8
Let m = -3330 - -3447. What is the least common multiple of 52 and m?
468
Let p(v) = v**3 + 36*v**2 - 349*v - 19. Suppose 4*m = 29 + 7. What is the smallest common multiple of p(8) and m?
45
Suppose 4*v + 135 - 111 = 0. What is the lowest common multiple of 54 and (3 - 15/6)*(v + 12)?
54
What is the lowest common multiple of 14205/70 - (-25)/350 and 232?
1624
Suppose -4*w - 2*q + 6108 = -11428, 0 = q + 8. What is the least common multiple of w and 6?
13164
Let z = 427951/2024 + -4890/23. What is the common denominator of 58/8*62/93 and z?
264
What is the common denominator of 13/(-8) + (-27)/36*-4 and ((-20631)/(-26))/23*(-2)/(-176)?
176
Let v(z) = 20*z**2 - 123*z - 21. Calculate the least common multiple of 8 and v(13).
1760
Suppose 12*d - 1253 = -2*d - 385. What is the lowest common multiple of 248 and d?
248
Let b be 1261/(-39)*384/2. Let j = b - -55927/9. Calculate the common denominator of j and -89/40.
360
Suppose 0 = -15*n + 12*n - 9. What is the common denominator of (-27)/(-18) + 21/36 + n and 71/68?
204
Suppose -37*d + 161 = -14*d. What is the smallest common multiple of (90/(-25))/(3/(15/(-2))) and d?
63
Let k = -2 + -6. Let o be (-39445)/k - (1 + -2). Let c = o - 4940. What is the common denominator of -91/10 and c?
40
Suppose -15*d + 1540 = -5*d - 8*d. Calculate the smallest common multiple of d and 84.
4620
Suppose 5*q - 3 = 3*c, 2*c + 7 = 3*q + 2*q. Let y(l) = -31 + q*l**2 + 59 - l**3 - 27 + l. What is the lowest common multiple of 8 and y(3)?
8
Let z = -2128 + 21327/10. What is the common denominator of -6/245 and z?
490
Suppose 4*a = 5*a + 3*i - 1, 0 = -3*a + 3*i + 27. Let b = -5 + a. Calculate the low