nd 185.
2590
Let y = 802575 + -645270389/804. What is the common denominator of -51/16 and y?
3216
Let j(v) = v**3 + 33*v**2 + 262*v + 20. What is the least common multiple of 160 and j(-15)?
1120
Let b = -384417/337552 + 317/289. Calculate the common denominator of b and 59/2336.
2336
Let m = -12349/2184 + 8/273. Let i = -28103167/390 - -432331/6. Let c = 63/65 + i. Calculate the common denominator of m and c.
120
Let j(u) = -2*u**2 + 44*u + 51. Let t be j(23). Suppose -40 = -t*w + 40. What is the smallest common multiple of 80 and w?
80
Let x = -4578 + 82273/18. Calculate the common denominator of x and ((-6)/(-513))/((-8)/(-30)).
342
Suppose 5*a = 3*n + 227, 5*n - n = 4*a - 180. Suppose 4*c + 5*q - 40 = 0, 2*c - a = -0*c + 4*q. What is the smallest common multiple of 6 and -2 + 1 - (4 - c)?
30
Suppose -f + s = 3*f + 8, -4*s = 0. Let i(u) = -2*u**2 - 4*u - 4. Let j be i(f). Let m(w) = -7*w - 22. What is the least common multiple of 2 and m(j)?
6
Let z(h) = -h**2 + 7*h + 13. Let s be z(9). Find the common denominator of (-6)/s + -1 - (-3111)/(-4880) and 111/28.
112
Suppose 4*u = -5*p - 3 + 7, 2*p = u - 1. Suppose 5*q = p, 5*q - 4 = c - 18. Calculate the least common multiple of 54 and c.
378
Let g = -149/1113 - 15793/21518. Calculate the common denominator of -3/380 and g.
33060
Let q = 40619/144 + -4455/16. Calculate the common denominator of q and -19/360.
360
Calculate the least common multiple of 1225 and (-143633)/(-639) + ((-12)/(-45))/((-6)/(-5)).
11025
Suppose -y = -11*y + 100. What is the lowest common multiple of (-51)/(-85) - (-504)/y and 6?
102
Calculate the common denominator of ((-9)/(-48) + 4/64)*(97 + -3) and 2/27.
54
Let x = 2/11727 + -175969/375264. What is the common denominator of (-1)/(-2)*1*(-29)/11 and x?
352
Suppose -q = -17*q - 448. Let f = q - -214. Calculate the smallest common multiple of f and 22.
2046
Let v be (-1 + 4/14)*(-10 + 3). Suppose -v*z = 15, -3*n + 15 = 6*z - 4*z. Calculate the lowest common multiple of 6 and n.
42
Let u = 1194 - 9583/8. Find the common denominator of u and 2280/(-180) + -2 + 13.
24
Suppose -4*j = 0, -5*x + 0*x + j - 10 = 0. Find the common denominator of x/120*-214*35/1162 and -21/2.
996
Let x be (6/((-96)/140))/(4/128). What is the common denominator of 61/16 and (-338)/x - (-46)/115?
112
Suppose -3*w - 5*i + 10*i = -32, 0 = -5*i + 10. Suppose 0 = -17*x - x + 7416. Let p = 478 - x. What is the lowest common multiple of p and w?
462
Let g(l) = -l**3 - 15*l**2 + 100*l + 967. What is the smallest common multiple of 2155 and g(-22)?
2155
Suppose 144 = 2*k + 124. What is the common denominator of (19/k - 2)*312/(-6) and -127/264?
1320
Let s = -562 - -338. Calculate the smallest common multiple of ((4 - 1) + 0)*2 and (192/s)/((-3)/14).
12
Let j be (-507706)/(-292) + 7 + -1. Let v = j - 10469/6. Find the common denominator of v and 19/2.
438
Let p be (-353655)/400 - (2 - (-33)/(-15)). Let t = 886 + p. Find the common denominator of -149/120 and t.
240
Let w = 109021/3 - 1453583/40. What is the common denominator of 73/28 and w?
840
Let m(g) = 8 + 115*g + 115*g - 223*g. Let u be m(-1). Find the common denominator of ((-6)/9 + u)/((-10)/46) and 18/5.
15
Find the common denominator of (30/(-1050))/(120/1043) and 17/1320.
6600
Let q = 11540/521843 + -3/889. Find the common denominator of q and 49.
587
Let u = -21662 + 3769181/174. What is the common denominator of 63/4 and u?
348
Let a(g) = -2*g**2 + 27*g - 32. Let k be a(12). Calculate the smallest common multiple of 12 - ((-340)/(-153) - k/18) and 11.
110
Suppose 2*i = 0, -16 = -b - 4*i + 12. Let h = -177080 + 43915761/248. Find the common denominator of (-426)/(-144) + b/(-12) and h.
248
Let u(m) = -14252*m + 5. Let l be u(-4). Let c = -1197053/21 + l. Let p = 289/14 - c. Find the common denominator of p and -17/3.
6
Let b(a) = 3*a**2 - 6*a. What is the least common multiple of (-56 + 48)/(2/(-60)*2) and b(4)?
120
Find the common denominator of (2/7)/(48/(-450)) and ((-33325)/(-124000))/((-14)/(-10)).
224
Let y be (-2)/(9/5 + -2). Let u = -4534/15 + 1534/5. Find the common denominator of u and y/(-36)*(-36)/24.
60
Let l = -482 - -484. Suppose -3*b = u - 17, u + 4*b = 20 - l. Calculate the least common multiple of ((-8)/5)/(2/(-20)) and u.
112
Suppose 198*k = 200*k - 32. Suppose -4*p + f = -43, 2*p - 4*f - 28 = -2*p. Suppose -2*n - 4 + p = 0. Calculate the lowest common multiple of n and k.
16
Suppose -4*p - 2*l + 8 = 0, -10 = -6*p + p + 2*l. Let k = -22 - 221. Let b = k - -259. What is the smallest common multiple of b and p?
16
Let q be -1 + (-5*4)/(-5). Suppose 0*o - 10400 = -2*n + 4*o, -5198 = -n + q*o. Let t = 31127/6 - n. What is the common denominator of t and 73/4?
12
Suppose -j = -2*y + 13, 5*j = 6*y - 3*y - 37. Suppose 0 = -k + 5*t - 2 + 16, -10 = -y*k - 3*t. Calculate the common denominator of 1/(k - 681/177) and 43/18.
18
Suppose -70 = -7*t + 14. Find the common denominator of -43/18 and (14 - t) + 133/(-6).
18
Let c(q) = -5*q**2 + 45*q - 29. What is the least common multiple of ((-126)/(-10))/(4/20) and c(8)?
693
Suppose 61*q - 150 = 56*q. Suppose q = 4*b + 6. Suppose 12*s - b*s - 24 = 0. What is the least common multiple of 52 and s?
52
Let d(m) = -m**3 + 7*m**2 + 19*m - 8. Let c be d(9). Let w be ((c - -1) + 2 + -5)*0. Suppose 0 = -7*f - w*f + 28. What is the lowest common multiple of f and 4?
4
Suppose 5*v - 148 + 3323 = h, 3*h = -2*v + 9610. Calculate the smallest common multiple of h and 640.
3200
Calculate the common denominator of (-5*14/(-245) - (-160)/(-21))/172 and -51/20.
2580
Suppose j - 4*j - 2*d + 47 = 0, 29 = 2*j - d. Let a(o) = -571*o - 13. Let b be a(-1). Let f = -543 + b. Calculate the lowest common multiple of j and f.
15
Let z = -16957/6 - -2839. Calculate the common denominator of z and -79/710.
2130
Let o(s) = -14*s + 2. Let h be o(-1). Let x = 13165/4146 - 6/691. What is the common denominator of (4/h)/((-1)/18) and x?
6
Let y = -5141 + 61609/12. What is the common denominator of -37/183 and y?
732
Suppose -5*p + 157 = -43. What is the common denominator of p/96*(-54)/(-8) and (-77)/(-22)*(-143)/104?
16
Find the common denominator of 349110/238680 - 3/51 and -18/221.
884
Suppose 0 = 4*a + 3*q - 304, 0 = a - q - 17 - 59. Let o = a - 61. Calculate the lowest common multiple of o and 15.
15
Let v(b) = -b**3 - 7*b**2 + 3*b - 7. Let c be v(-7). What is the smallest common multiple of c/35*100/(-8) and 47?
470
Find the common denominator of -19/1620 and 10/12 + (-37)/(-4440).
3240
Let q = 40295 - 1370125/34. What is the common denominator of (-369)/(-480)*3115/1869 and q?
544
Suppose 670 = 2*u + 2*c + 3*c, 0 = 4*u - 5*c - 1310. Find the common denominator of -69/2 and 6/(-11) + (-7190)/u.
6
Let x be -6 + 12 + -3 + 257. Calculate the common denominator of -3/2 and 2821/x - (-12)/(-2).
20
What is the smallest common multiple of 4 + 10 + -6 - (28 + -180) and 240?
480
Let i be (-16)/(-10) + (-58)/(-145). Suppose i*q + 132 = 13*q. What is the smallest common multiple of q and 16?
48
Suppose -1998 = 57*q - 51*q. Let v = q + 501. What is the common denominator of -29/9 and 102/238 + 1790/v?
36
Let t = -380 - -134899/355. Let m = 10304/3195 + t. What is the common denominator of m and -29/2?
18
Let y(i) = -i**2 + 5*i - 42. Let k be y(0). Let f = k - -62. Suppose -f*u + 208 = -92. What is the smallest common multiple of 6 and u?
30
Let y = -1775 - -1915. What is the lowest common multiple of y and 65?
1820
Let h = -57795 + 57800. Suppose -2*g + 8 = -0*g. Calculate the lowest common multiple of h and g/(-10) + 1056/15.
70
Let v be (-93)/(-2)*(-287)/63. Let x = -259212/5 + 51634. Let y = x - v. Find the common denominator of y and 53/3.
30
Let o = -60 - -59. Let c be (0/o)/(9 - 7). Suppose -v - 54 + 66 = c. Calculate the lowest common multiple of v and 16.
48
Let z = -306 + 105. Let j = 139/12 - 233/24. Calculate the common denominator of -1 - z/(-84) - -3 and j.
56
Suppose 76*h = 1564 + 6036. Calculate the least common multiple of h and 290.
2900
Let n = 256033/3 - 84607. Let p be (-4388)/(-6) - (-2)/(-6). Let z = p - n. What is the common denominator of -57/14 and z?
42
Suppose 0 = -c + 2*b - 1842, 12 = -3*b - b. Let o = -14761/8 - c. Let i = -2154/5 - -15308/35. Find the common denominator of o and i.
56
Let n be 4*1