 Let l = -1/676 + -18235/11492. Find the common denominator of l and b.
1615
Let k = 4018 + -3486. What is the smallest common multiple of 12 and k?
1596
Let c = 3999 + -3789. Calculate the smallest common multiple of c and 3.
210
Let c(n) = n**2 - 6*n - 23. Let t be -10 - ((-6)/7 - (-5)/(-35)). Let s be (9/t)/((-2)/18). Calculate the lowest common multiple of c(s) and 5.
20
Let q be (40/15)/(6/(-99)). Let g = q - -71. Suppose 2*h - m = 27, 5*h + 4*m - 10 = 25. What is the smallest common multiple of g and h?
297
Let z = -198 + 200. Suppose -z*k = -3*v + 56, 5*v - 101 + 15 = -4*k. Calculate the least common multiple of v and 324.
324
Suppose -30 = z + 30. What is the common denominator of (305/(-25))/((-96)/20) and (-383)/z + (-2)/8?
120
Let i = -326269 + 1289855/4. Let n = i - -3828. What is the common denominator of 103/20 and n?
20
Let b be ((-33)/27 - 3) + 6/27. What is the common denominator of 89/4 and 2 - 184/(-64) - 1/b?
8
Let p(q) = q**3 + 19*q**2 + 46*q - 56. What is the smallest common multiple of 6 and p(-15)?
462
Let h = 1507 - 521. What is the lowest common multiple of h and 17?
986
Let h be (0 - 1)*(-2 - 1). Let c be 7 + -1 + -4 + h. Suppose -2*g - c = -3*g. What is the least common multiple of g and 7?
35
Suppose 4*h = -5*x - 0*x + 12, 0 = -3*x + 3*h - 9. Suppose x = -5*f + 79 - 29. Let y(g) = g - 4. Calculate the smallest common multiple of y(f) and 1.
6
Let y(r) = r - 23 + r**2 + 5 - 4 + 13*r. Let k be y(-15). Let b(s) = -2*s - 6. What is the lowest common multiple of 15 and b(k)?
120
Let k = -60976 + 7804991/128. Find the common denominator of -3/2320 and k.
18560
Let m be (148 + -2 + 4)/(52/533). Let u = m - 1505. What is the common denominator of -37/958 and u?
958
Suppose -7*u - 247 = 6*u. Calculate the least common multiple of 123 and 54 + u + (-3 - -1).
1353
Suppose 5*j - 18 = 4*f + 32, -3*f = 15. Let w(y) = -5 - 51*y**2 + 30*y**2 + 4*y + 22*y**2. Calculate the least common multiple of j and w(9).
336
Find the common denominator of 49/6633 and ((-456)/(-72))/((-2010)/313) + (-41 - -42).
66330
Let t(w) = 20*w**2 - 7*w + 2. Let k be t(-6). Let r = k + 4498. Let o = r + -31489/6. Find the common denominator of -41/40 and o.
120
Suppose 7*c + 22 = 4 + 186. Calculate the smallest common multiple of c and 24.
24
Let r be 2/(-9) + (-754928)/(-36). Let i be (-16896)/r + 0 + (-8)/(-10). Let m = i - -4506/233. Find the common denominator of m and 29/10.
30
Suppose -8*g + 3048 = 1704. What is the least common multiple of 252 and g?
504
What is the common denominator of 0 - 5/(175/30) and 3/(-74)*(-4)/(-12)*-102?
259
Calculate the common denominator of 8/989 and 35164/(-308430) + (-2)/10.
8901
Let p = 41 - 35. Suppose -p*n + 13 + 5 = 0. Suppose 0*w - w = -n. Calculate the lowest common multiple of w and 7.
21
Let t(l) = -10*l - 34. Suppose 8 = 7*z + 78. What is the smallest common multiple of 48 and t(z)?
528
Suppose -4*y = 2*j - 9476, 0 = -27*y + 29*y - 3*j - 4730. What is the lowest common multiple of y and 38?
44992
Let q = 1/20211 + 990314/505275. Calculate the common denominator of 71/1050 and q.
1050
Let p = -67 + 64. What is the common denominator of -1/40 and (-3 - ((-711)/20)/9) + p?
40
Let a be (-1)/10*(-86305)/(-6). Let p = 1429 + a. Let t = -191477/24 + 7982. Calculate the common denominator of t and p.
24
Let d be (-3 + 6 + 4)/((-2)/32). Let y = d - -133. What is the least common multiple of 15 and y?
105
Suppose 6006 = 36*k - 29*k. What is the lowest common multiple of k and 60?
8580
Let f = 21 - -5. Suppose -3*u + 2*m = -u + f, -4*m = 3*u + 4. Find the common denominator of -4/3 and (-614)/(-24) - u/(-32).
3
Let k = 77 - 70. Let r(a) = -2*a**2 + 16*a - 10. Calculate the smallest common multiple of r(k) and 14.
28
Suppose 5*a + 6 = 2*t, -8 = 4*t - 5*a - 0. Let l(i) = 16*i**2 + 106*i - 6. What is the smallest common multiple of l(t) and 84?
252
Let t = -742/281 + 1033417/395086. Find the common denominator of t and -8/3.
4218
Find the common denominator of -43/5 and (95/(-10))/((-42501)/62).
6855
Let z = 1 + 7. Let j(y) = 3*y**2 + y**2 + 14 - 2*y + 4*y - 3*y**2. What is the smallest common multiple of z and j(0)?
56
Let f be (465516/66501 + -7)/((-4)/(-6)). Let l = f - -61531/216744. What is the common denominator of -35/4 and l?
88
Suppose 64*v = 65*v + 5, -5*q = 3*v - 3450. What is the smallest common multiple of q and 420?
13860
Suppose 2*n + 2851 + 923 = 2*k, 5*n - 1851 = -k. Calculate the lowest common multiple of k and 1710.
18810
Suppose 2*x = 4*z - 1946, -9*x + 209 - 704 = -z. Calculate the lowest common multiple of z and 33.
5346
What is the common denominator of 9 - 10 - (-13)/(988/288) and (306/(-120))/((-36)/10)?
456
Suppose m - 63 = -76. Let g(x) = -2*x + 6. Calculate the lowest common multiple of 20 and g(m).
160
Let a = 69897 + -16146257/231. What is the common denominator of 79/189 and a?
2079
Let c(d) = 31*d**2. Let a be c(1). Let h(v) = 31*v**2 - 15*v**2 - 6*v - a*v**2 + 6 + 2*v**3. What is the least common multiple of h(8) and 22?
22
Suppose 17*t - 14*t = 3, 0 = -5*h + 2*t + 78. Calculate the lowest common multiple of 366 and h.
2928
Let i = 290674499/1194 + -243446. Find the common denominator of -75/4 and i.
2388
Let d be (-332)/(-6) - 4/(-6) - 2. Let y = 51896 - 4151607/80. Calculate the common denominator of y and d/28*(-14)/(-60).
80
Let z = -51 + 54. What is the common denominator of (-69)/2 - 3/18*z and 14/61?
61
Let r = -3165 - -3198. What is the lowest common multiple of r and 324?
3564
Suppose 0*c + c = 3. Suppose -y + 4*y = 15, -c*x - 3*y = -27. Calculate the lowest common multiple of x and 3.
12
What is the lowest common multiple of 630 and 4/(-32)*-4*10?
630
Let u be 1 + -16*9/(-6). Suppose 29 = 2*m - u. Calculate the smallest common multiple of 33 and m.
297
Let f = 9947717/13385 + 3/2677. Let i be (-33 + 3)*(-29 - -4). Let d = i - f. What is the common denominator of -49/4 and d?
20
What is the common denominator of -39/2599 and 18316*(-4)/8136 - -9?
23391
Let w(t) = 53*t - 26. Let h = 319 + -311. What is the lowest common multiple of h and w(6)?
584
Let z = -527 + 827. Suppose -7*d = -8*d - z. Find the common denominator of -143/30 and (d/63 - -1)*-1.
210
Find the common denominator of (-3 - (-24)/9)*(-351)/378 and -51/128.
2688
Suppose -z + 12 = -5*w, 2*z + 3*w - 5*w - 8 = 0. What is the lowest common multiple of z and 3230?
3230
Find the common denominator of 0 - (-5 + (-1384)/(-160)) and 17/356.
1780
Calculate the common denominator of -1 + 13 + (-7098)/756 and -31/5.
90
Let y = 1001 - 781. What is the lowest common multiple of y and 80?
880
Calculate the common denominator of ((-166)/(-102) - (14 - 10))/(-2) and -38/255.
510
Let p = -6896 + 393059/57. Let y = -6001/570 - p. Calculate the common denominator of ((-1)/(4/134))/(8/2) and y.
40
Let w = 1579/285 - 27/5. Calculate the common denominator of w and -47/9.
171
Suppose 0 = 5*u - 10, 2*r - 4*u = -0*r - 84. Let o be (56157/(-15))/(-3 - r/10). Let v = o + 4657. What is the common denominator of v and -87/2?
4
Let k = -7099/2 - -177539/50. Let z = 1039073/60 + -17319. What is the common denominator of z and k?
300
Calculate the lowest common multiple of (31593/8)/((-465)/(-310)) - 6/8 and 329.
2632
Let o = -11914 - -12114. Calculate the least common multiple of 4300 and o.
8600
Let u(c) = 594*c + 10806. What is the smallest common multiple of u(-17) and 12?
708
Let t = 1001/477 + 195/53. Let z = 261347/38 + -6879. Find the common denominator of t and z.
342
Let u(v) = 14*v - 11. Let w be u(-3). Let h = -46 - w. Calculate the lowest common multiple of 11 and h.
77
Find the common denominator of (3936/(-448))/(18/(-7)) and (-2)/(-6) - 23/60.
60
Let t = 21072 + -1201183/57. Calculate the common denominator of t and 55/5127.
97413
Let y = 11527 - 7327. What is the smallest common multiple of 44 and y/180 - (-4)/6?
264
Suppose -5*m + 10*m - 5 = 0. Let o = 547 + -537. Calculate the lowest common multiple of m and o.
10
Let k(t) = -9*t**3 + 2*t**2 - 11*t - 22. Let z be k(-3). Let v = -254 + z. Calculate the least common multiple of 230 and v.
2070
Let w = -40766 - -40775. What is the smallest common multiple of w and 1410?
4230
Let l(t) = t**3 - 5*t**2 - 2*t + 8. Let w be l(-2). Calculate the common denominator of 61/63 and (w/112)