-41323/6. Find the common denominator of -3/182 and z.
546
Let o(y) = y**2 + 2*y + 2. Let n be o(1). Suppose -n*t + 3*g = -t - 114, -g = t - 32. Calculate the lowest common multiple of t and 39.
390
What is the lowest common multiple of 1444 and (10/4 - 304/32)*-1?
10108
Let d(h) = h**3 - 13*h**2 - 7*h - 273. What is the least common multiple of 8 and d(15)?
72
Suppose 2*k = 5*k + 15, -67 = -m + 2*k. Calculate the lowest common multiple of 133 and m.
399
Calculate the least common multiple of 464 and -2*(-5684)/(-147)*3*1/(-2).
464
Let c(m) = 80*m**3 - 2*m**2 + 3*m + 6. Let z be c(-2). Let x = z - -264. Calculate the smallest common multiple of 3 and -2 + 8/2 - x/16.
78
Let r = -75 + 79. Suppose 28 = -r*d + 120. What is the lowest common multiple of 7 and d?
161
Calculate the lowest common multiple of ((-72)/20)/(33/(-1100)) and 48.
240
What is the common denominator of 97/1570 and (265/(-2355))/(28/((-70)/10))?
9420
Let t(j) = 75*j**2 - 1251*j + 38. Calculate the least common multiple of 30 and t(18).
5460
Let s = -77819/12540 + 537/95. Calculate the common denominator of s and -39/1936.
5808
Suppose -3*n = 4*p - 921, -4*n + 227 = 10*p - 9*p. Calculate the lowest common multiple of 105 and p.
1155
Let v(m) = -5*m**3 + 90*m**2 + 29*m + 45. What is the least common multiple of 486 and v(18)?
3402
Suppose 186 = 4*d - d. Suppose 0 = -2*j + 5*t - 0*t + 27, -3*j - 3*t = -51. Calculate the least common multiple of j and d.
496
Suppose -284*f - 2*s = -279*f - 135, f - 2*s = 27. What is the smallest common multiple of 1353 and f?
12177
What is the common denominator of (67/2010)/((-6)/1605) and 85/1806?
3612
Let u(i) = i**2 + i + 18. Let l(k) = -k**3 - 19*k**2 - 50*k - 32. Let x be l(-16). Calculate the lowest common multiple of u(x) and 38.
342
Suppose 8*m + 571 - 1611 = 0. Calculate the least common multiple of 117 and m.
1170
Let r(k) = 477*k**2 - 8*k - 5. Calculate the smallest common multiple of r(-1) and 60.
480
Let f = 283 - 267. Suppose -2*q - 8 = -4*m, 0 = -5*m + m - 2*q + f. Calculate the least common multiple of m and 249.
249
Suppose -21*l + 34174 = 33586. What is the smallest common multiple of 1 + -3 + 1 + 51 and l?
700
Let i = -142/51 + -1873/408. Suppose 600 = 70*a - 95*a. Calculate the common denominator of i and ((-2)/a)/(1 - 910/917).
24
Let z(v) = 6*v + 10786. Let j be z(0). Let k = 323539/30 - j. Find the common denominator of k and 46/5.
30
Let g be 2 + 7/3 + 3/(-9). Suppose 3*z + 439 = -2*w, 3*z + 843 = -4*w + g*z. Let v = w - -3817/18. Calculate the common denominator of v and -41/76.
684
Calculate the common denominator of (((-23205)/136)/(-39))/(2 - 1) and 101/5682.
22728
Let d = 381470087/3177504 + -6063/20768. Let v = 1950/17 - d. Calculate the common denominator of (-140)/(-88) + (-2 - (-1 - 0)) and v.
198
Let c = -2013/5 + 14032/35. Calculate the common denominator of c and ((-3)/(-126))/(20/(-564)).
70
Suppose -12*d + 28*d - 32 = 0. Let g = -3/4369 - -607345/78642. What is the common denominator of g and (6/(-4) - 127/(-18)) + d?
18
Suppose -3*u + 27 = -6*u. Let p(w) = -45*w - 392. Calculate the smallest common multiple of p(u) and 2/3*(-6)/(-2).
26
Suppose -30*k + 140 = -25*k + 5*w, -56*w = -2*k - 60. Calculate the least common multiple of k and 90.
1170
What is the common denominator of 87/532 and 4/(-6688)*6742 + -41 + 45?
5852
Let k(n) = n**3 - 5*n**2 + 6*n - 6. Let p be k(4). Suppose 0 = p*v - 11*v + 9. What is the common denominator of (v/2)/(165/(-80)) and -137/24?
264
Let j(s) = -5*s - 12. Let d be j(-3). Suppose -d*n + 113 + 22 = 0. Find the common denominator of (-75)/(-35) - (3 + 2) and n.
7
Let t = -41645/12 - -3479. Find the common denominator of t and 32/(-18)*(-6 + (-333)/(-84)).
84
Suppose 0 = -5*t - 15, 0 = -4*c + 5*t + 21 + 2. Suppose -25*u + 18 = -22*u + 3*x, -3*u = 5*x - 14. What is the smallest common multiple of u and c?
8
Let s be (1018/(-6))/(64/(-408)). Let c = s + -1092. Find the common denominator of c and ((-67)/(-6))/(4/(-12)).
8
Let y be (1/(-3))/(7 + 1697390/(-242490)). Let k = y + 72481/36. What is the common denominator of -25/128 and k?
1152
Suppose -5*y + 95 + 125 = 0. Let i = -37 + y. Calculate the common denominator of 149/210 and ((-109)/i)/((-5)/(70/12)).
210
Suppose -r + 2 = -2*r + 5*f, 0 = -2*r - 2*f + 8. Suppose -5*j = -r*j + 18. Let m(g) = g**2 + 9*g + 4. What is the smallest common multiple of m(j) and 52?
52
Let j = 3333/56 + -337/7. Let h be (7052/(-2352) + 3)*1982. Let f = -88/49 - h. What is the common denominator of f and j?
24
Suppose 0 = 3*j - 2*m + 5*m + 15, 3*m + 7 = j. What is the lowest common multiple of 45 and (-17)/17 - (-36 - j)?
495
Let z be 2*((-5)/40 + 168/64). What is the common denominator of -59/14 and (-738)/300 + 7 - z?
350
Suppose -5*w + 41 = -24. Suppose w = x + 1. Calculate the smallest common multiple of x and 16.
48
Let s(x) = -2*x**2 - 6*x + 4. Let y be s(1). What is the common denominator of 119/48 and ((-3)/6)/(y - 984/(-244))?
48
Let y(o) = o**3 + 4*o**2 + 3*o. Let n be 9/(-5) - 1/5. Calculate the smallest common multiple of (-1242)/(-324) + 1/6 and y(n).
4
Let i(b) = 40*b + 1448. What is the smallest common multiple of 504 and i(-11)?
1008
Let r(u) = 3*u**2 - 3*u + 4. Calculate the least common multiple of 1*((-1331)/(-55) - 4/20) and r(4).
120
Let w = -977514907/6785 - -144070. Let j = w - 636269/2971830. Find the common denominator of j and 91/10.
2190
What is the common denominator of 2430/(-1736) - 109/((-192603)/(-114)) and -87/2666?
37324
Suppose 14*m + 80 = 22*m. Find the common denominator of 40/7 and ((-148)/m)/((-15)/((-120)/(-16))).
35
Let y(c) = -c**2 + 27*c - 59. Let p be y(24). Let i = 28 - p. What is the lowest common multiple of 12 and (-5 - -4) + -2 + i?
12
Suppose -16 = 83*n - 85*n. Let h be ((n + -2)/(-1))/(8/(-44)). What is the common denominator of 73/10 and (-2)/4 + 96/h?
110
Suppose -136*d + 141*d = 3*o - 4166, -2*o = 3*d - 2790. Calculate the least common multiple of o and 80.
6960
Suppose -49 = -b + 3*n, -3*b - 5*n + 41 + 162 = 0. Suppose 65*a = b*a + 224. Calculate the smallest common multiple of a and 42.
168
Let h = 392828/9243 - 1/18486. What is the common denominator of (-68)/30*(-3)/(-2) and h?
10
Let h = -514 - -570. Suppose 39 = 2*l - 5*f, 5*f = -0*l + 4*l - 53. Calculate the least common multiple of l and h.
56
Suppose 4*b - 534 = 3*a - 784, 0 = -3*a - 4*b + 290. What is the least common multiple of 1512 and a?
7560
Let k = 113 - 104. Suppose k*c - 3*c - 42 = 0. Let i(r) = r**3 + 5*r**2 + 7. What is the least common multiple of i(-5) and c?
7
Suppose -22016 = -182*d - 5272. What is the lowest common multiple of 86 and d?
3956
Let c(u) = u**2 + 6*u - 8. Let y(h) = -17*h + 84. What is the lowest common multiple of c(2) and y(4)?
16
Suppose -2*k - 422 = 4*g, 3*g - k = -5*k - 309. Let v = g + 117. What is the smallest common multiple of 10 and v?
10
Let p = 3/136238 - 2077643/613071. Let u = 13384/9 - 789686/531. Calculate the common denominator of u and p.
1062
Let l = -24862/24399 - 3172049785/97596. Let x(u) = 32501*u**2 + u. Let f be x(-1). Let g = f + l. Find the common denominator of -5/12 and g.
36
Let q(m) = -m**3 + 11*m**2 - 11*m + 6. Let r be q(10). Let v be -372 + (4 + r - -2). What is the common denominator of -59/14 and ((-6)/15)/((-344)/v)?
602
Let k be (-16 - -14) + 1*188. Let r = -178 + k. Calculate the least common multiple of r and 6.
24
Let j = -735/11 - -11859/176. Let r be (-42396)/986*(-4)/16. Let k = r - -1/1972. Calculate the common denominator of k and j.
16
Let b = -21075 - -316037/15. Find the common denominator of b and -58/2547.
12735
Calculate the common denominator of 27/(6804/264)*(-28)/(-24) and 9/10657.
95913
Let j(z) = -z - 5. Let x be j(-5). Calculate the least common multiple of 1 + x - -5*(4 + -3) and (324/16)/(-5 + (-86)/(-16)).
54
Let p = 8467 + -8459. What is the lowest common multiple of 514/8 - (-2)/(-8) and p?
64
Let f = 10273/1476 - 430/41. Let j = 51157/36 + -12859/9. Calculate the common denominator of f and j.
36
Let t = -128631967/378 + 340296. Calculate the common denominator of 17/36 and t.
756
Let g = 4603 + -41405. Let t = -1766609/48 - g. What is the common denominator of t and -113/72?
144
Let x = 2311/2 - 1202. Calculate the common denominator of x and (13