23/((-345)/2115) and 36.
252
Find the common denominator of 17/335 and 8 - (-51)/(-6) - 2/(48/(-75)).
2680
Find the common denominator of 47/(-16)*((-2492)/(-267) - (1 - -9)) and 71/360.
360
Let b(n) = -2*n**3 - 51*n**2 + 23*n - 76. Calculate the smallest common multiple of b(-26) and 1369.
2738
Suppose -4*d - 3*r + 505 = -403, 4*d - 5*r = 940. Suppose 0 = 11*z - 10*z - 3*w - 54, 5*z - 5*w = d. Calculate the lowest common multiple of 11 and z.
462
Let r = -5050 + 6016. What is the smallest common multiple of 6 and r?
966
What is the common denominator of -5 + (-111180)/(-19872) - (-6)/(-9) and 27/80?
16560
Calculate the least common multiple of 15 and 8*(217/28 - -6).
330
Suppose u + 35 = 43. Suppose -z - 7*t + 9*t = -u, -3*z + 21 = -3*t. What is the least common multiple of z and 11?
66
Suppose 186*y + 125*y = -54*y + 28105. Calculate the least common multiple of 1092 and y.
12012
Suppose -4*z = 20, 20 = -5*g - 0*z - 3*z. Let q be 1 + -49 + (0 - g). Let b = q + 53. What is the lowest common multiple of b and 7?
42
Suppose -8*x = -10*x + 186. Suppose 5*n = 3*c + 157, -n = 2*n - 3*c - x. What is the least common multiple of n and (-58)/(-7) + (-4)/14?
32
Suppose 0 = 13*f - 6*f - 525. Suppose -3*t + 4*i = -78, -3*t = 8*i - 11*i - f. What is the lowest common multiple of t and 0 + -2 + 4 + 0?
22
Calculate the common denominator of ((-378)/(-160))/(-7) + 1 and (-1420)/(-32)*(-2)/(-55).
880
Let s = -39 + 23. Let r = -825 + 827. Calculate the smallest common multiple of r and 68/11 - s/(-88).
6
Suppose 5*o + 1376 = -2*r, -3*r + 9*o - 2064 = 4*o. Let x be r/(-8) + (-4 - -2). Let a = 87 - x. What is the lowest common multiple of 2 and a?
6
Let k(s) = -s**3 - 9*s**2 - 4*s + 12. Suppose u = 6*u + 30. Let l = u - -8. What is the least common multiple of k(-9) and l?
48
Suppose -23*y + 113880 = 13*y + 16*y. What is the smallest common multiple of 3 and y?
2190
Let j = 410 + -419. Let y = -257/48 - -35/16. What is the common denominator of 48/j - (-38)/19 and y?
6
Let z(p) = -35*p - 1. Let n = -32 - -31. Let g be z(n). Suppose -6 = 2*h - g. What is the smallest common multiple of h and 14?
14
Let n = -9901 + 10969. Calculate the least common multiple of n and 44.
11748
Let l = 6 + -6. Suppose 0 = 2*h + 3*w + 21, l*w - 5*w = 3*h + 34. What is the least common multiple of 2 and (h/(-6))/(2/16)?
4
Let v = 881 - 879. Let j(h) = 20*h - 261. What is the lowest common multiple of j(24) and v?
438
Let q = -1413 + 1857. Calculate the lowest common multiple of q and 6.
444
Let j = 4662/5 - 446897/480. What is the common denominator of 131/528 and j?
1056
Let t = -616905/37 + 16672. What is the common denominator of t and -43/37?
37
Suppose -3*t - 56 = -7*t. Suppose -3*m + t = 2. Suppose -m*b = -23 + 7. Calculate the common denominator of 76/9 and b.
9
Suppose -27 + 34 = j. Suppose 20 = 2*t + 5*u, -5*t = 2*u - u - 50. What is the lowest common multiple of t and j?
70
Let r be -1*((-3 - -3) + -2) - 0. What is the common denominator of -1/2 and 5/r + -2 - 1501/(-798)?
42
Let z(s) = -s + 57. Let v be z(24). Suppose -u + v = 3*o, -o + 3*o = 5*u - 165. Calculate the least common multiple of u and 27.
297
Suppose 16*m = -2*h + h + 1123, 213 = 3*m + h. Calculate the lowest common multiple of 1547 and m.
15470
Let g(m) = 5*m**2 + 52*m - 714. Calculate the smallest common multiple of 198 and g(10).
3366
Let u = -249/76 + 124/19. What is the common denominator of -59/2306 and u?
4612
Suppose 83*y + 992 = 87*y + 4*v, -232 = -y - 5*v. Calculate the lowest common multiple of y and 56.
504
Let t(o) = -3*o**2 + 6*o**2 + 760 + 2*o**2 - 756 - o**3. What is the lowest common multiple of t(3) and 26?
286
Let i(d) = 2*d**2 + 5*d + 6. Let h = -23 - -55. Let s = -29 + h. What is the smallest common multiple of s and i(-4)?
18
Suppose 5*h + 3*l + 423 = 0, 4*h - 8*h - 334 = -2*l. What is the common denominator of 145/72 and (327/108 - 3)*(-13 - h)?
72
Let q be (-28)/49*(-14)/4. What is the common denominator of 88/(-39)*6/(-8) and q/(-28)*(23 + -7)?
91
Suppose -8*w - 15*w = -5*w. Find the common denominator of 6 - (w + 918/60) and 39/14.
70
Let x = 10165 - 4665746/459. Find the common denominator of -67/54 and x.
918
Suppose -v - 459 = -4*w, -v - 343 = -7*w + 4*w. Let a be w*1 + 38/19. Calculate the common denominator of 7/(-42) + a/180 and 8/11.
495
Let k = -20570/21 + 3517687/3591. Find the common denominator of k and 151/456.
4104
Let m = 34395985961/4950 + -6948684. What is the common denominator of m and -19/11?
4950
Let y = 57984 - 474888959/8190. Let n = -303041/90090 + y. What is the common denominator of (237/4)/(9/6) and n?
22
Suppose 4*f = -4*c + 112, -4*f + 3*c = -106 - 41. What is the lowest common multiple of f and 228?
2508
Let h = -47543/36 - -10549/8. Find the common denominator of h and 37/9.
72
Let u = 2/54543 + 1109017/654516. Calculate the common denominator of 19/576 and u.
576
Calculate the common denominator of 37/205 and ((-9724)/507)/(-11)*6/(-10).
2665
Let z be ((-26)/39)/(2 - 727/363). What is the common denominator of -5 + (10272/z)/8 and -1/110?
1210
Let v be (-36)/(-6) - (-49395143)/616. Let j = v - 80192. Find the common denominator of 83/132 and j.
264
Calculate the least common multiple of ((-6)/(-10) - -1)/((-2392)/(-8970)) and 505.
3030
Let p be 17*1 - (16 - 18). Suppose -2*n + p + 37 = 0. Suppose 5*c - n = -4*t + c, c = 3*t - 9. What is the least common multiple of 4 and t?
4
Let q be 59628282/178884900 - 1/3. Let f = 219839603983/665849350 - q. Let t = 330 - f. What is the common denominator of t and -17/6?
402
Suppose 7*l + 2*o = 5*l - 88, 20 = 5*o. What is the common denominator of -11/42 and 460/l - (-1 - -1)?
84
Suppose -2*v = 3*n - 2562, -v - 331 + 1634 = -4*n. Let m = v - 18083/14. Find the common denominator of 89/140 and m.
140
Suppose 5*c - 1 = 2*s - 6, 3*c + 3 = 2*s. Suppose k - 2*k + 1 = s, -4*w + 4*k = -216. What is the least common multiple of 55 and w?
55
Suppose 24*x - 151*x = -10*x - 8190. What is the smallest common multiple of x and 532?
2660
Let z = 267167/1449492 - -40/4587. Calculate the common denominator of z and 145/12.
948
Let l(y) be the third derivative of -y**4/24 + 22*y**3/3 + 6*y**2. Suppose 77 = 9*n - 2*n. What is the lowest common multiple of l(n) and 27?
297
Suppose 0 = -2*n - 2*j + 2372, -18*n = -23*n - 2*j + 5921. Suppose -27*p - n + 16087 = 0. What is the lowest common multiple of 14 and p?
3864
Let c = 20602 + -1112543/54. Calculate the common denominator of c and (-10)/225*(-530)/24.
54
Find the common denominator of (-20)/80 - (0 + 20/(-9)) and -7/582.
3492
Suppose 4*j + 8 = -4*u, 11 = -0*u + 2*u - j. Let h be (-248 - -4)/(18/(-63)). Let d = -848 + h. What is the lowest common multiple of u and d?
6
Let x(d) = 4*d**3 + 4*d + 8. Let u be x(-2). Let q = u + 37. What is the common denominator of (-1)/q*((-77)/(-8) - 3) and 47/28?
280
Let z = -1930653/456698 - -3/20759. Find the common denominator of (-268)/144 + (-1)/(-2) and z.
396
What is the least common multiple of 180 and ((-100)/18)/((-8)/432)?
900
Let i = 121 - 132. What is the least common multiple of 24 and (3/(-2))/(((-44)/(-96))/i)?
72
Let w = -103318985/4249616956 + 3/1541951. What is the common denominator of 31/1508 and w?
79924
What is the common denominator of (4500/540)/(2*-11) and 14/165?
330
Let n(x) = 6*x**3 + 2*x**2 - x - 2. Suppose -4*p + 4 - 12 = 4*z, 3*z - p = 6. Let d be 15/5 + z/(-1). Calculate the least common multiple of n(d) and 10.
260
Suppose -3*b + 3*a - 4*a + 21 = 0, -5*a + 9 = -b. Let l(k) = -k + 1 + 6 + 2 + 4*k. What is the common denominator of -25/7 and l(b)?
7
Let o(f) = f**2 - 3*f + 2. Suppose 2755 = -0*d + 19*d. Suppose -10*q + 15 + d = 0. Calculate the smallest common multiple of o(-3) and q.
80
Suppose 2684 - 934 = -50*s. Let b be 20/153 + (-4)/(-18). Let i = b - 233/34. Calculate the common denominator of i and s.
2
Let f = 3/18735896 - -1320180413785/637020464. Let v = f + -4145/2. Find the common denominator of 65/12 and v.
816
Let h(d) = -36*d - 2780. What is the lowest common multiple of 992 and h(-79)?
1984
Suppose 2*g = 7*g - 105. Let m(n) = -n + 49. Let x be m(g). Suppose 0 = -x*s + 30*s - 12. Calculate the least common multiple of 4 and s.
12
Let w = -75 - -105. Let p = 59 - 74. What is the lowest common multiple