mon denominator of d and 31/135.
540
Let p be (36/15)/(2*21/30). Let x = p + -201/56. What is the common denominator of -85/76 and x?
152
Find the common denominator of -91/1476 and (-209)/(-264)*(-3 + 24 - 48/8).
2952
Let i = 12 - 7. Suppose 0 = -3*v - i*f - 3, v - 3*f - 2 = -3. Find the common denominator of -17/60 and (-4355)/(-660) + v*2/11.
60
Let w = -162 + 66. What is the least common multiple of (-9 - -4)/(10/w) and 16?
48
Let h = -61 - -59. Calculate the least common multiple of 75 and 1 - (-41)/h*-8.
825
Let j be ((-3)/(-28))/(2228733/55963778). Let t = j + 2/19049. What is the common denominator of (-6)/81*(3 - 24) and t?
126
Let q = 277877/30 + -194168/45. Let c = q + -4945. What is the common denominator of c and 70/(-3) - (1 + -6)?
18
Let x(o) = o**2 - 3*o - 4. Let m be 2*(-2 - (-2 - 1)). Calculate the smallest common multiple of ((-408)/119)/(m/(-7)) and x(-2).
12
Let w(a) = a + 4. Let c be w(0). Suppose m = c*m - 18. Let t(f) = 23*f - 1237. What is the smallest common multiple of t(54) and m?
30
Let o = -16147/24970 + 186/227. Calculate the common denominator of o and 38*2/56*-2.
770
Suppose -21*u + 78 = -69. Suppose 0 = 14*y - 104 - 806. What is the least common multiple of u and y?
455
Let m = 927 - -501. What is the least common multiple of 14 and m?
1428
Suppose 0 = -3*d - 4*j + 64, -1 = -6*j + 5*j. Suppose -18*w = -17*w + d. Let g = w + 24. What is the least common multiple of 36 and g?
36
Let y = -3054 + 3076. Let o(h) = -h**3 + 10*h**2 + 2*h - 14. Suppose 9*k - 40 = 5*k. What is the smallest common multiple of o(k) and y?
66
Let i(f) = -20*f + 36. Let z be i(-8). Let o = z + -120. Calculate the smallest common multiple of 6 and o.
228
Let j = -98 - -294. Suppose 0 = -33*w + 24 + 108. Suppose 0 = -4*r + w, 2*r + j = 4*p + 6*r. Calculate the common denominator of p and 55/3.
3
Let d(u) = -u**3 - 11*u**2 - 10*u - 9. Let z be d(-9). Let f = z + 99. What is the least common multiple of f and 15?
90
Let t(n) = 74 - 68 - 4*n - n. Calculate the smallest common multiple of 26 and t(-2).
208
Let h = 134023/3 - 4288877/96. Find the common denominator of 1*149/(-96) + 0 and h.
96
Suppose 5*j - j = -132. Let v = 359571/635588 - -1/16726. Calculate the common denominator of v and (-11)/j - 38/132.
836
Let r = -47 - -116. Let k = -65 + r. Suppose 5*a - k*i = i + 75, 3*i = 2*a - 33. What is the least common multiple of a and 8?
24
Let s = 230/87 + -3101/928. Calculate the common denominator of s and 278*((3 - 1) + (-355)/180).
288
Let p(x) = x**2 + 22*x + 106. What is the smallest common multiple of p(-7) and 241?
241
What is the least common multiple of (42/(-8))/((-434)/(-112) - 4) and 455?
2730
Suppose 6*l - 2075 - 2557 = 0. Suppose 0*s - 3*s - 4*c + 776 = 0, 5*c = -3*s + l. Calculate the smallest common multiple of 2160/s + (-4)/22 and 16.
16
Let a = 27 + -16. Let j = -255 - -143. Let s = 118 + j. What is the smallest common multiple of s and a?
66
Let k = 273 + 112. Calculate the smallest common multiple of 440 and k.
3080
Calculate the common denominator of (36/81)/(336/60) and -1 - (244/112 - -1).
252
Suppose 2*q + 3*w - 99 = 0, w = -5*q - 0*w + 241. Suppose -q*o - 30 = -50*o. What is the lowest common multiple of 14 and (4 - (-36)/(-10))*o?
42
Let v(d) = -67*d**2 + d + 2. Let a be v(-16). Let o = a + 1338967/78. Calculate the common denominator of o and 127/78.
78
Let m(g) = -23*g + 1481. Calculate the smallest common multiple of m(33) and 190.
3610
What is the common denominator of -6 - (-120255)/26910 - (-21)/14 and 139/78?
1794
Let m(w) = -w + 3. Suppose 3219*n - 469 = 3212*n. Suppose -n*y = -13*y - 108. What is the least common multiple of m(-3) and y?
6
Suppose 331*q - 15467 - 35077 = -293*q. Calculate the least common multiple of q and 453.
12231
Suppose -69 = 5*m - 169. Let s be 1*(-4 - -14)*(1 - -1). Suppose -m*x - s = -25*x. What is the lowest common multiple of 16 and x?
16
Let j = 197856/5 + -39576. Calculate the common denominator of j and 15/652.
3260
Suppose 241*f - 244*f = -561. Calculate the common denominator of 13/3 and f/(-30) + (-16 - -21).
30
Let h = 16296800/71 - 229528. Let d = 10317/1136 - h. What is the common denominator of 59/20 and d?
80
Let m = -4256 - -4836. Calculate the smallest common multiple of 60 and m.
1740
Let o(p) = 6*p - 10*p**3 - 19 - 8*p**2 + 14*p + 21 + 9*p**3. Calculate the smallest common multiple of 584 and o(-10).
584
Let o(f) = f**3 + 21*f**2 + 23*f - 57. Let t be o(-20). Find the common denominator of (1 + t/40)/((-1)/(-4)) and 35/164.
820
Let o = 5514058069279818629/650820 + -8472477903686. Let w = o + 2/32541. Find the common denominator of 31/30 and w.
60
Suppose 11 + 1 = -4*w, -2*w = -4*o + 42. Suppose -4*y + 66 = -5*v, 3*v - o = -3. Calculate the least common multiple of y and 2.
38
Suppose 1 - 7 = -n. Let h(v) = v + 31. Suppose -460 = 3*w - 26*w. Calculate the smallest common multiple of h(w) and n.
102
Calculate the common denominator of (-60)/(-456)*98/(-850) and 8/45.
29070
Let k(f) = -7*f - 20 + 4*f**3 + 11*f**2 - 9*f - 5*f**3 + 6*f**2. Let b be k(16). Calculate the common denominator of (4 - 72/14)*14/b and 71/3.
15
Suppose -30525 = -6*n + 5121. Let h = -53530/9 + n. What is the common denominator of 99/62 and h?
558
Suppose -76*j + 81*j + 26 = 4*n, 3*j + 21 = 3*n. Let l(v) = -2*v - 9. Let w be l(-12). Suppose n*d = w*d - 96. What is the smallest common multiple of d and 16?
16
Let d be (-12)/3 + -9434 - 0. Let h be (-142753)/d + -1 + -1. Let k = h + 5/121. What is the common denominator of -19/10 and k?
30
Calculate the common denominator of -43/1044 and 37/(-54)*146/365.
15660
Let q = -2/1335 - -32/1335. Let w be ((-3133)/6)/(9879/(-74)). Let j = w - q. Calculate the common denominator of j and -13/8.
72
Let a = 21 - 18. Suppose 2*l - l = a*d + 9, -8 = -l + 2*d. Let n(y) = -y + 13. Calculate the least common multiple of n(9) and l.
12
Let h(n) = -2*n + 14. Let j be 15/6*(6 - 4). Let g be h(j). What is the lowest common multiple of -4 + 2/(g/26) and 16?
144
Let i = 71874803/2232 + -32202. What is the common denominator of i and 79/16?
4464
Let r be (-2 - -1) + -3 + -173. Let y = -1773/10 - r. What is the common denominator of (-2 - (-3)/(-3))*181/(-90) and y?
30
Let d = -4333 + 4387. Calculate the lowest common multiple of 132 and d.
1188
Suppose -3*r - 14 = -44. Calculate the least common multiple of ((-88)/(-16) + -9)/(-7) - (-54)/4 and r.
70
Suppose -5*s + 7*s = 4. Let r = 307 + -287. Suppose 2 = -s*o + r. Calculate the smallest common multiple of 15 and o.
45
Let f be ((-84)/(-10))/((-2)/50)*2. Calculate the common denominator of (5 - 1687/f) + (-4)/(-10) and -39/28.
84
Let l = 56 + -54. Suppose 2*g + 14 + l = 3*a, -a = 0. Find the common denominator of 28/g*(-52)/(-76) and 19/8.
152
Let d = 4 + 1/4. Calculate the common denominator of d and 81/412.
412
Let c = 897/590 + -13/59. Let h = 11960 + -478399/40. What is the common denominator of c and h?
40
Suppose 21*k = 20*k - 7075. Let w = k + 190952/27. Calculate the common denominator of w and -107/24.
216
Let n(j) = -219*j**3 - j**2 - 4*j - 2. Let t be n(-1). Suppose -t = -155*b + 154*b. Calculate the smallest common multiple of 8 and b.
440
Let z = 115924879/426 - 272124. Calculate the common denominator of -31/284 and z.
852
Suppose 5*k - 18 - 2 = 0, 4*k = 5*a + 106. Let n be 12/a + 2/(-6)*-11. What is the common denominator of -61/10 and n/11*1/(18/(-219))?
110
Let y = 7 + -2. Suppose 2*s + u + 7 = 0, 3*s - y*u + 6 = -2*u. Find the common denominator of -79/42 and -1 - (15/4 + s).
84
Let t(p) = p**2 + 3*p. Let v be (24/(-15))/((-12)/(-30)). Let i be t(v). What is the common denominator of -44 and (117/i)/(75/30)?
10
Suppose -10*s - 5 = -5*s. Find the common denominator of 39/10 and (-1)/(s/(455/30)).
30
Let y(r) = r**3 + 2*r**2 + 2*r + 9. Let c be y(0). Suppose -14*z + c*z = 990. Let o = z + 495/2. Calculate the common denominator of -53/11 and o.
22
Let q = -11/105244 + 5755741/190807372. What is the common denominator of q and -38/1813?
3626
Calculate the least common multiple of 372 and 5 + 554 + (-1 - 0).
1116
Let c = -12 - -22. Suppose -4*t - 11 + 27 = 4*b, 2*t + 4 = 2*b. Suppose -f + 3 + b = 0. Calculate the least common multiple of c and f.
30
Let t = 2/154769 - 23060725/11143368. Find the common den