
Calculate the common denominator of (-1980)/800*(6 - (-1468)/(-248)) and 59/18.
4464
Let g = 68336 + -81593221/1194. Calculate the common denominator of g and -64/3.
1194
Suppose -2*i + 4*s = 31 - 155, i - 4*s = 64. Calculate the common denominator of 166*(4 - 97/24) and (43/i)/((-4)/(14 - 2)).
60
Let t = 1139/900 - 89/150. What is the common denominator of t and 119/470?
8460
Let c = -8602503833/4948 + 1738582. What is the common denominator of c and 35/4?
4948
Let c = -15280 - -15292. What is the least common multiple of c and 84?
84
Let w(f) = -f - 3*f - 6 + f**2 + 0*f. Suppose 5*v = -2*h + 20, 5*v - 20 = -0*h - 4*h. Calculate the smallest common multiple of w(6) and v.
12
Let x(o) = -33*o**2 - 39 + 22 - 2*o**3 + 61 - 22*o. What is the least common multiple of x(-16) and 28?
140
Calculate the least common multiple of (144*(-9 + 8))/(-2) and 468.
936
Find the common denominator of 19 - 25 - (-5546)/972 and -97/144.
3888
Calculate the common denominator of -23/88 and 11/((-6160)/4179) + (-29 - -1)/(-4).
880
Let u = 345 - 277. Calculate the smallest common multiple of 45 and 68/u + (2 - (-2 - 20)).
225
Let u = -54154 - -33033927/610. Find the common denominator of u and -16/61.
610
Find the common denominator of 52/306*117/(-1560)*55 and -167/30.
1020
Let g = 696 - 700. What is the common denominator of 1/g + 105/9 and 101/16?
48
Suppose 3*o = 4*m, -3*m + 0*m = -5*o. Suppose -3*u = 3*d - 24, 2*d = -m*d + u + 28. Calculate the common denominator of -59/25 and ((-3)/(30/28))/(d/55).
150
Let f = 47/69 - 8455/966. Let p be 65*3/((-252)/258). Let x = 199 + p. Calculate the common denominator of f and x.
14
Suppose -d + 2*f + 17 = 0, -4*f = 2*d - 0*d - 74. Let y = -25 + d. Find the common denominator of y + -2 + 11/27 and 16/3.
27
Suppose -3*x + 8*p = 9*p - 3703, -3*x + 3663 = -9*p. Calculate the least common multiple of 90 and x.
12330
Let p = 855828 - 1732195957/2024. Calculate the common denominator of p and -95/1472.
16192
Let h(i) = -i**2 + 16*i - 31. Let g be h(11). What is the common denominator of -49/46 and g/(-14)*19/(-8)?
322
Let k = -65 + 65. What is the lowest common multiple of 20475/520 + ((-6)/16 - k) and 63?
819
Let k = -355051/143718 - 1/8454. Let b = k + -12/119. Find the common denominator of b and ((-3)/18)/(-1) - (-1516)/(-600).
175
What is the least common multiple of 320 and (-180)/(-720) - 126/(-8)?
320
Let r = 741 + -531. What is the lowest common multiple of 30 and r?
210
Let m = -36 + 41. Suppose 64 = 3*h - 4*r, 0 = m*h - 3*r + 4*r - 122. Calculate the common denominator of (-1)/(-4) - 31/h and 33/8.
24
Find the common denominator of -97/296 and (-2384969)/111146 + 7*3.
35224
Let d = -265383/7 - -437881229/11550. What is the common denominator of -89/990 and d?
4950
Suppose 31*c + 1342 + 1157 = 2747. What is the least common multiple of 3840/14 - (-6)/(-21) and c?
1096
Suppose 0*q - 4*q = 0. Suppose q*y - 2*y - 4*k = -34, 5 = y - k. Calculate the least common multiple of 4 and ((-6)/y)/((-4)/324).
108
What is the smallest common multiple of 254 - (-4 - -9 - 3) and 60?
1260
Suppose -3*s + 20 = -2*a, 4*a - 3 = -7. Find the common denominator of 93/(-36)*(63/(-105))/((-30)/(-100)) and 17/s*(-12)/(-9).
18
Let n(v) = 11*v**2 + 6*v - 2. What is the least common multiple of n(1) and 105?
105
Find the common denominator of 46/97 and (-783)/1746*(5 - (-246)/(-54)).
291
Let n(f) = -42*f - 186. Let k be ((-90)/(-75))/(3/(-15)). Calculate the smallest common multiple of 111/6 + 1/(-2) and n(k).
198
Suppose 11 = 3*o - 37. Suppose -20*a = -o*a + 96. Calculate the common denominator of (-6)/a*(-354)/9 and -8/5.
30
Let w = -617831 - -1747843844/2829. What is the common denominator of 25/33 and w?
31119
Calculate the common denominator of 31/340*30*(-36)/(-5616) and 33/8.
1768
Let n(i) = -15*i + 36. Let d be n(-24). Find the common denominator of -21/40 and ((-3)/(-6))/(4 - 1528/d).
280
What is the smallest common multiple of (-9 - (2 + -6))/(2*(-5)/110) and 979?
4895
Suppose 12*w = 9 - 21. Calculate the smallest common multiple of (-76)/(-190) + w + (-13)/(-5) and 42.
42
Let c = -213637/167930 - -9/11995. Find the common denominator of 59/1530 and c.
10710
Suppose -32*d - 5*a - 90070 = -37*d, -5*a + 36021 = 2*d. Let n = -7925619/440 + d. Calculate the common denominator of n and 57/10.
440
Let t = -4975093/2856 + 12196/7. What is the common denominator of -61/48 and t?
816
Calculate the lowest common multiple of ((-7)/3)/((-1)/12) - 4 and 30.
120
Calculate the smallest common multiple of (2 - 5 - -4)*(17 + (22 - 21)) and 78.
234
Suppose -3*n + 9 = 0, -34*n + 38*n - 1197 = -5*a. Calculate the lowest common multiple of 195 and a.
15405
Let q = -37731/2 - -19229. Let w = q - 354. Find the common denominator of 4/23 and w.
46
Let x = -1143179999529/351532798780 + -2/116401589. Let l = -2101059/151 - -13914. Let r = x + l. Calculate the common denominator of r and 75/26.
260
Suppose -64 + 244 = 6*n. Suppose -4*v + 2 + n = 0. Suppose g + 203 = v*g. Calculate the common denominator of -52/3 and g.
3
Suppose 0 = -577*u + 571*u - 11454. Let i = u - -11483/6. Find the common denominator of i and -131/120.
120
Suppose -z = 3*l - 407, 31*l = 29*l + z + 273. Calculate the least common multiple of 527 and l.
4216
Let o(z) = 7*z**3 - 2*z**2 + 6. Let k be o(3). Find the common denominator of -87/314 and -1 + k/21 + (-1)/(-2).
2198
Let t be 6/(22089/(-11040) - -2). Let f = t + 117695/16. Calculate the common denominator of f and (6 - 334/10)*(-5)/(-12).
48
Suppose 2*t - 5*s + s = 32, 4*s - 58 = -3*t. Suppose -23*y = -7*y + 2*y - 144. Calculate the lowest common multiple of y and t.
72
Let d(a) be the first derivative of 2*a**3/3 - 15*a**2/2 + 13*a + 22. What is the lowest common multiple of 10 and d(9)?
40
Suppose 4*r = 4*q + 292, q + 249 = 5*r - 124. What is the least common multiple of 90 and r?
450
Let d(m) = 2*m**2 - 5*m + 1. Let w be d(0). What is the common denominator of w/((-2)/(-3))*776/(-480) and 35/2?
40
Let j = -8687 + 8759. Suppose 2 = 2*x - 34. Calculate the least common multiple of x and j.
72
Suppose -3*z - 3*q = -42, -2*z - 5*q - 15 = -40. Suppose 0 = 15*s - z - 45. Calculate the smallest common multiple of 271 and s.
1084
Let m(o) = 61*o + 1963. Calculate the least common multiple of m(-31) and 60.
360
Let t = 618 - 578. What is the common denominator of 1*8 - 795/t and -5/3?
24
Let f = -3413 + 423195/124. What is the common denominator of 181/30 and f?
1860
Suppose 2*g - 19 = -17. Let v be g/((-483)/339) - 2/(-3). Let n = -34715/15456 + v. Find the common denominator of n and -9/16.
32
Find the common denominator of 3 - -5*1768/(-2520) and 44/1125.
7875
Let g(b) = -195*b + 2935. Calculate the smallest common multiple of g(11) and 20.
1580
Let p = -92 - -129. Suppose -61 = -3*u + 5*t, -p = u - 2*u + 5*t. What is the lowest common multiple of 5 - (2/(-4))/(u/(-48)) and 21?
21
Let t(s) = s**3 + 5*s**2 - 1. What is the common denominator of t(-5) and (-9*5/(-609))/((-6)/21)*6?
29
Let h be -1 - -6 - (-187 + 10 + -17). Suppose 11*z = -h + 892. What is the smallest common multiple of 45 and z?
315
Suppose -25*k + 19*k = -18*k + 408. What is the least common multiple of 169 and k?
5746
Let i = 14186 + -780244/55. Calculate the common denominator of 17/3619 and i.
18095
Let n be -5*(-2)/110*14958521. Let o = -1362237 + n. Let f = o - -2369. What is the common denominator of f and 49?
11
Let g = -146259/710 + 206. Let q = g + -13493/2130. Calculate the common denominator of q and -38/55.
165
Let c = -20517263/172 + 119286. Calculate the common denominator of c and -51/40.
1720
Let m = -281095 + 154602351/550. Find the common denominator of -137/550 and m.
550
Let v be (-8)/(-52) - 160/26. Let b be (-4)/v + 4803290/(-480). Let k = -10010 - b. What is the common denominator of -49/2 and k?
16
Suppose 6*p + 41 = 167. Let o(a) = -5*a - 2*a + 0 - 3 - 15. Calculate the lowest common multiple of p and o(-6).
168
Suppose 5*z + 55386 = 5*p - 4*p, -p + 3*z + 55394 = 0. Let n = p + -2770417/50. Calculate the common denominator of n and -151/30.
150
Let z(c) = -8*c**2 + 67*c - 48. Let l(j) = -10*j**2 + 69*j - 48. Let v(i) = -5*l(i) + 6*z(i). What is the smallest common multiple of 2 and v(-30)?
42
Let g(o) = 2*o**3 - 3*o**2 + 2. Suppose 5*f - 5*l - 30