 (-1)/(-2). Calculate the common denominator of i and x/28 + 98/24.
12
Let k = 8434605/488 + -17284. Calculate the common denominator of -113/96 and k.
5856
Suppose -15*p - 38*p = 21*p - 9028. Calculate the least common multiple of p and 5.
610
Let k(j) = -63*j**2. Let y be k(-1). Suppose -5*z = -2*o + 17, 4*o + 15*z = 12*z - 31. What is the common denominator of 0 - (o - -1) - y/(-32) and -99/4?
32
Let w = -748577/24 - -31186. Find the common denominator of w and 49/234.
936
Let a be 4/45*(8 + (-136578)/17076). Let g = -1011769/102456 + a. Find the common denominator of (-109)/(-236) - 2/8 and g.
472
Let o(z) = -44*z - 342. What is the smallest common multiple of o(-9) and 21?
378
Suppose s - 2*s = 4*q - 5276, 4*s = q - 1336. Find the common denominator of (2/14)/(q/(-222) + 6) and -1/438.
3066
Suppose 0 = -3*y + 15 - 6. Suppose -4*h = -j + 3*j - 64, y*h = -j + 50. What is the lowest common multiple of h and 4?
36
Let z be (0 + -1)*1 + (44 - 0). Let o be z + -14 + (-4)/(-2). Find the common denominator of 107/12 and ((-96)/(-120))/((-2)/o).
60
Calculate the common denominator of 43/20 and ((-586)/18890)/((-114)/2375) - 2/3.
37780
Let i = -1776505/1155816 + -1/42808. Calculate the common denominator of i and -79/196.
5292
Suppose -123 - 257 = 10*m. Let d be (-4)/m - (-177)/(-57). Calculate the common denominator of 2/d - 2/124 and -1/4.
372
Suppose -3*q - 51 = -5*r, 609*q = 5*r + 605*q - 48. What is the least common multiple of 243 and r?
972
Let f be ((-425733)/(-900))/(-19) + 0 + 1. Let o be 1/300*-31 + (-2)/(-8). Let y = f + o. Find the common denominator of y and -105/38.
76
Let r = -11 + 5. Find the common denominator of (-30)/(-135)*((-51)/(-5))/(-3) - -1 and 23/66 - (-3)/r.
495
Let x(z) be the third derivative of -5*z**4/12 - 31*z**3/3 + 108*z**2. Calculate the smallest common multiple of x(-8) and 16.
144
Let a = 1321759/78 - 16946. What is the common denominator of a and 11/52?
156
Let r(f) = -2*f**3 + 22*f**2 + 229*f - 369. Let x = 131 - 67. What is the least common multiple of r(17) and x?
448
Let h = 6/20165 - 44681/1068745. Find the common denominator of h and -40/583.
2915
Suppose -5*g = -5*s + 10, -g + 2*s - 2 = 2*g. Suppose 2*u + 2 = 2*n + 10, -g*u = -n - 9. What is the least common multiple of 50 and u?
50
Suppose 62*p = 67*p - 95. Suppose -13*g - 822 = -p*g. What is the common denominator of (71/(-18) + 4)*g and -83/4?
36
Suppose 12617 = -2*y - 13161. Let d = y - -979505/76. Calculate the common denominator of d and -7/4.
76
Let f = -613 - -6271. Calculate the least common multiple of 14 and f.
39606
Let l(p) = -14*p - 18. Let o be l(-10). Suppose 0 = -7*q + 4*q - 5*a - 281, 4*a + 184 = -2*q. Let n = q + o. Calculate the least common multiple of n and 10.
20
Let f(k) = -5047*k - 1360. Calculate the least common multiple of f(-5) and 4.
95500
Suppose 4*g = 3*g - 10. Let d(h) = -h - 12. Let f be d(g). Calculate the common denominator of 62/21 and f/(-4)*(-242)/99.
63
Let i = 1525/2607 + 107/79. What is the common denominator of i and 7 + (948155/4620)/(-29) - (-3)/12?
231
Let o = 12/3163 + 39811/344767. What is the common denominator of 16/(-30)*((-3224)/93 - -28) and o?
981
Suppose 0 = -62*o + 60*o - 664. Let q = o + 350. What is the lowest common multiple of 14 and q?
126
Let u(w) be the third derivative of -w**4/12 + 11*w**3/6 + 12*w**2. Let h be u(-11). Calculate the common denominator of -41/16 and 3/6*291/h.
176
Suppose 0 = -3*z, -4*u + 5*z = -0*z - 100. Suppose -u + 307 = 3*r. Suppose 5*w - f = -0*f + r, -32 = -2*w - f. What is the least common multiple of w and 20?
180
What is the common denominator of (237/(-72)*-2)/((-4)/3) and 14/(-1008)*1648/12?
432
Calculate the common denominator of 2/4*227*(1819188/(-72765) + 25) and 67/297.
20790
Calculate the common denominator of -71/609 and 9/(-12)*6556/5742 + 4 + -4.
1218
Let b(m) = 42*m**2 + 12*m + 106. Calculate the least common multiple of 266 and b(5).
8512
Let h = -33550 + 1107206/33. Find the common denominator of 2/48*157 + -2 and h.
264
Calculate the lowest common multiple of ((-22)/(-5))/((-139)/(-3475)) and 20.
220
Let y = 3726 - 3678. What is the smallest common multiple of 4104 and y?
8208
Let y = 9913 - 9883. What is the lowest common multiple of y and 120?
120
Let m(k) = -433 + 200 + 205 - 17*k. Suppose -4*d = 4*o + 4, -19 = -0*o + 3*o - d. What is the least common multiple of 1 and m(o)?
57
Let n = -2 - 4. Let m(x) = 2*x**3 + 3*x**2 + 2*x + 16. Let i be m(-3). Let f = n - i. Calculate the least common multiple of f and 4.
44
Let a = -36137/11 - -3289. Calculate the common denominator of ((-1)/(1 + 69))/(86 - (-612352)/(-7120)) and a.
308
Let j = 138555/4 + -35500. Suppose 0 = -3*f + 4*n + 2549, n = -3*f - n + 2537. Let c = j + f. What is the common denominator of -71/22 and c?
44
Let l be 10 - 4 - 1072/28. Let d = l - 3/14. Calculate the common denominator of d and -22/5.
10
Let k(p) = -3*p**2 + 27*p + 5. Let j be k(15). Find the common denominator of 23/24 and j/(-90)*2/(-3).
216
Calculate the common denominator of (568/336)/(-1) + (-10)/2 + 3 and 47/63.
126
Let f = -56879/7515 - -11/835. Find the common denominator of 0 - -15*6/(-63) and f.
63
Let q(w) = 120*w - 66*w - 64*w + 10. What is the lowest common multiple of q(-3) and 70?
280
Suppose 4*d = q - 17, -5*q + 2*d = -12 - 1. Calculate the lowest common multiple of 10 and 3486/56 + q/(-4).
310
Let i(m) = m**2 - 3*m - 15. Suppose 582*y - 573*y = -36. Calculate the lowest common multiple of i(y) and 2.
26
Suppose 763*p = 769*p - 396. Calculate the smallest common multiple of p and -1*(-20)/30*33.
66
Let m = -300 + 432. Suppose 89*f - 86*f = -m. What is the least common multiple of 24 and (-696)/f - (-2)/11?
48
Let n(y) = -y**2 - 8*y - 12. Let z be n(-6). Suppose z = o + 3*o - 12. Suppose 0*j - 15 = -o*j. Calculate the smallest common multiple of j and 5.
5
Suppose -9*i - 4*k = -6*i - 1218, -4*k + 390 = i. What is the lowest common multiple of i and 460?
4140
Let y = 14/1551 + -74015/9306. Let h be ((16/6)/1)/((-1)/6). What is the common denominator of ((-10)/(-575))/(h/380) and y?
414
Let t(w) = -6*w + 180. Calculate the smallest common multiple of t(-106) and 816.
816
Let k be (-1)/(1 + (-12)/9). Let t be (k/200)/((-1)/(-3844396)). Let o = 57668 - t. Find the common denominator of o and -31.
50
Let z = -20965 + 20966. Calculate the least common multiple of 4107 and z.
4107
Let m(b) = -b**2 + 21*b - 35. Let a(x) = -36*x + 118. Calculate the least common multiple of a(3) and m(10).
150
Let h(z) = -27*z + 74. Let q be h(4). What is the common denominator of 137/18 and 656/(-90) + q/(-85)?
18
Let t be (16456/12)/((-5)/((-135)/24)). Let z = 1532 - t. What is the common denominator of -10/11 and z?
44
Suppose 5*l + 3*j - 384 = 5*j, 3*l - 5*j - 219 = 0. Let m = l + -46. Suppose -m = -10*v + 6*v. Calculate the lowest common multiple of v and 6.
24
Calculate the common denominator of 131/144 and ((-36)/2160)/((-24)/(-603)).
1440
Let q(z) = -8*z + 22. Let y(i) = -i. Let a(b) = -q(b) + 5*y(b). Let p be a(12). What is the common denominator of (-2 + 34/12)*p/4 and 7/40?
120
Let h = -441/4 - -4371/40. Find the common denominator of h and (-22785)/(-6200) + 5/(-2).
40
Let t be (2/4)/((-292)/(-72) + -4). Let h = 1 - t. Calculate the common denominator of -137/18 and (-633)/(-1122) + h/44.
306
What is the smallest common multiple of 10/165*-3 - (3255/(-55) - -3) and 56?
56
Let p(m) = m**2 + 53*m + 30. Calculate the lowest common multiple of 5 and p(22).
1680
Let p = -3830 - -34397/9. Find the common denominator of p and (-173)/(-10)*(-20)/24 - 8/32.
9
Let u(a) = a**3 - a**2 - 2*a + 64. Suppose 0 = 13*o - 8*o + 2*o. What is the lowest common multiple of u(o) and 7?
448
Let m = -2680392815/297849 - -15/198566. Let o = 9024 + m. Calculate the common denominator of (-1)/(-3) + (-146)/12 and o.
6
Let f(q) = q**3 + 7*q**2 - 6*q - 4. Suppose -205*z = -214*z + 108. Calculate the least common multiple of z and f(5).
1596
Suppose 6*s - 66 - 96 = 0. Suppose 0 = 12*h - s*h + 225. Calculate the least common multiple of h and (-9)/(-2)*(-8)/(-3).
60
Let g = 88 + -88. Suppose 566 = 3*x - z, g*x - 4*z + 396 = 2*x. What is the least common multiple of x and 5?
190
Let z = -13 + 23. What is the lowest common multiple of z and (2/(-3))/