11/306.
9486
Let f = 2/2199815 + -12761231/2534186880. Find the common denominator of -85/288 and f.
5760
Let d = -7321/9 - -809. Let v = 490/131 - 5137/3930. What is the common denominator of v and d?
90
Let k = 37 - 35. Suppose -5*n + 2*n = k*s + 927, s = 4*n - 458. Find the common denominator of -101/12 and s/8*(-18)/54.
12
Let d(z) = -47*z**2 - 848*z - 28. What is the lowest common multiple of 576 and d(-18)?
576
Let r be (-2 + 9/3)*-9. What is the common denominator of r/(-12)*732/162 and (-12)/26 + (-9086)/(-364)?
18
Let i = 78323/31572 - 15/1754. Find the common denominator of ((-18009)/252)/(-29) - (-2)/7 and i.
36
Find the common denominator of (-1082)/(-368) - (90/(-240))/(8/(-64)) and -107/240.
5520
Let x = 416389/60 - 6940. Let k be 1 - 298/495 - 6/15. Let z = k + -17321/1980. Find the common denominator of x and z.
60
Let w(v) = v**2 - 50*v - 4634. What is the smallest common multiple of 1316 and w(-51)?
14476
Let o = -63739 + 63743. Let t = 17 + -12. Suppose -t*l = -l - 264. Calculate the least common multiple of o and l.
132
Suppose 287*u - 77 = 280*u. Suppose -u*s - 9*s = -80. Let b(t) = t**2 + 7*t + 12. Calculate the smallest common multiple of b(-8) and s.
20
Let l = 355 - -82. Let z = l - 172. What is the common denominator of 59/10 and z/(-32)*(-4)/(-10)?
80
Let y = 6794/13 + -1393186/2665. Find the common denominator of y and 48/35.
1435
Calculate the smallest common multiple of 4 and ((-2)/(-3))/((-37)/333) + 394.
388
Let h be -3 + -5 + 1623 - -2. Calculate the common denominator of ((-22)/h)/(2/(-75)) and -1/21.
147
Let f be (9 + -3)*5/10. Let h = -34 - 22. Find the common denominator of f + 116/h + -2 and 77/18.
126
Suppose -18 - 20 = -19*u. Suppose 4*y - o - 27 = 0, 5*y - 3*y - u*o - 18 = 0. Calculate the least common multiple of y and 24.
24
Let v be (3 - 1144) + (-2)/2. Let x = v + 2199/2. What is the common denominator of 95/(-7)*21/6 and x?
2
Let q = -73624/30315 + 114/47. Let f = 13103/3870 - q. Let i = 3/160 - 593/1760. Calculate the common denominator of f and i.
198
Let x(z) = 5*z + 99. Let w be x(-19). Calculate the common denominator of -17 - -19 - -89*1/w and 6/21 - 869/126.
36
Let w be (2*-1)/(3*6/(-315)). Suppose w = p + 6*p. Suppose -4*s + 14 = -2*t, -s + p*s + 7 = -5*t. Calculate the least common multiple of 98 and s.
98
Suppose -45*z - 44 = 46. Calculate the least common multiple of 275 and ((-18)/(-3))/(z/(20/(-2))).
1650
Suppose -b - t + 2*t = -8170, 5*b + 4*t - 40895 = 0. Let w = b - 130741/16. Let k = 5585/4656 + -82/97. What is the common denominator of k and w?
48
Let w = -6028759/102 - -59105. What is the common denominator of w and 7/762?
12954
Suppose 7*k - 31 = 3*k + 3*u, 4*u + 8 = -3*k. Suppose -3*o + 34 = -56. Suppose -k*m - o = -118. Calculate the smallest common multiple of 6 and m.
66
Suppose 1089 = 17*k + 239. Suppose -34 + 19 = -3*t. Calculate the least common multiple of k and t.
50
Let o(b) = -b**3 - 14*b**2 - 15*b - 18. Let w be o(-12). Let x = -1183 - -2437/2. Find the common denominator of x and w/(-60)*8/3.
10
Suppose -462*i = -451*i - 396. Suppose -5*n - 16 + i = 0. What is the lowest common multiple of 36 and n?
36
Let f be ((788/10)/(-1))/((-13)/(-65)). Let c = 438 + f. What is the lowest common multiple of c and 68?
748
Let i(n) = 419*n - 5830. What is the least common multiple of i(14) and 1644?
4932
Let t be (-6471)/(-36) + (-1)/(-4). What is the common denominator of ((-4)/(-10))/1 - (-6138)/t and 23/130?
130
Let l = -119 + 151. Find the common denominator of 1*(-12)/(-9)*1617/440 and l.
10
Suppose -a = 5*z + 92, -3*z - 4*a = z + 64. Let j = 95 + z. Let f = -49 + j. What is the lowest common multiple of 24 and f?
216
Let a(s) = 7*s - 8. Let q be a(1). What is the common denominator of 23/36 and 8531/7410 - q/(-5)*3?
468
Let t(a) = a**2 - 59*a + 786. What is the lowest common multiple of t(41) and 25/10*(-12)/(-10)?
48
Suppose 0 = 3*s + f - 11, 5*f = 2*s - 2 + 6. Suppose 4*q - 222 - 33 = -s*m, 2*q + 4*m - 140 = 0. What is the least common multiple of 21 and q?
420
Let x(w) = -w**3 + 8*w**2 + 3*w - 21. Let o be x(8). Suppose 5*k - o*t + 96 = 0, -2*t - 4 - 2 = 0. Find the common denominator of -35/8 and ((-56)/k)/(101/3).
808
Let j(n) = -n**3 - 9*n**2 - 66*n - 920. Suppose -c - 2*b = -10, -2*c = b + b - 20. What is the smallest common multiple of j(-11) and c?
240
Let z be 1900/12 - 25/(-15). Find the common denominator of 23/160 and (-70)/(-21)*(-5)/(z/66).
160
Find the common denominator of -36/527 and -7*(-300)/(-1088)*-2 - 4.
4216
What is the common denominator of 5/2*576/900*(-16)/(-6) and -25/728?
10920
Calculate the least common multiple of 930/(-4)*8/10*(-40)/6 and 84.
26040
Calculate the smallest common multiple of 2992 and 8*((-3)/(-24))/((-30)/(-300)).
14960
Suppose -186 = 2*c - 5*q, 0 = 6*c - 2*c - 5*q + 352. Let f be (3/c)/(777/96 + -8). Let p = f - -4936/747. Calculate the common denominator of p and -11/9.
9
Let s(i) = -i**3 + 30*i**2 + 16*i + 276. What is the least common multiple of 1260 and s(30)?
3780
Suppose -l - 2*q = -2*l + 14, -3*l + q = -22. Suppose -3*k + 5*i = l*i - 138, i = -2*k + 93. What is the least common multiple of k and 5?
45
Suppose 1 = -20*z + 19*z. Calculate the least common multiple of 50 and 36 + (4/z - -3).
350
Let g be -2 + -1 - (2 + 2). What is the common denominator of ((6342/(-12))/g)/(-18) and 81/16?
144
Let z = -14013 - -448369/32. What is the common denominator of 142/144 + 3/9 and z?
288
Let m = -77509/22 + 3524. Let r(b) = -b**2 + 36*b + 306. Let h be r(43). Calculate the common denominator of -173*h/280 + 4 and m.
616
What is the least common multiple of 532 and (-22 - (-5300)/240) + (-2)/24*-1007?
1596
Let y = 57600 - 5760067/100. Let h = 8376/11 - 83639/110. Find the common denominator of h and y.
100
Let t(q) = 3*q**2 - 8*q + 7. Let j be t(1). Suppose -j*o = -21 - 91. What is the common denominator of (4/(-9))/(4/o*-2) and 137/36?
36
Calculate the smallest common multiple of 24 and 6/(7 + 54/(-12) - 849/342).
1368
Suppose n = 2*q - 23, 2*q = 3*q - 4. Let v = n + 17. Calculate the lowest common multiple of v and 60.
60
Let c(r) = -r**2 + 7*r - 4. Suppose -19*l + 24*l - t = 272, -14 = 2*t. Calculate the lowest common multiple of l and c(3).
424
Let y = 31930087009/770220 - 19934/38511. Let k = 41457 - y. Calculate the common denominator of k and -127/6.
60
Suppose 0*y - 5*g = -2*y + 758, -5*y = 3*g - 1864. Suppose -4*h = -y + 1074. Let n = h - -1923/11. What is the common denominator of -59/3 and n?
33
Let b = 67702 + -743966/11. Let m = -18397/264 + b. What is the common denominator of 2236/39*(-2)/72 and m?
216
Let l = 4528 - 4407. What is the least common multiple of l and 1144?
12584
Suppose -2*v - 1974 = 4*d, -4*v = -9*v + d - 4990. Let n = -963 - v. Calculate the least common multiple of n and 12.
204
Suppose 0 = 4*m - 89 - 93 + 2. Find the common denominator of 11/905 and m.
905
Let d be (-20)/(-7)*(-7)/(-2). Suppose -k + d + 12 = 0. Let l = -287 - -307. What is the lowest common multiple of k and l?
220
Let s = -1470378 - -14691757/10. Let t = s - -1204. Calculate the common denominator of t and 119/40.
40
Let l = 1699/210 + -114/35. Let x(s) = 92*s**3 + s**2 - s. Let c be x(-1). Let w = c + 1699/18. What is the common denominator of l and w?
18
Let i(d) = -113*d**3 + 3*d**2 - 2. Let y be i(3). Calculate the common denominator of (-1)/1 + y/(-2091) and -26/9.
369
Let g be (-873)/3*(2 - 154102/(-108)). Let s = g - -415199. Let u = s - -600. What is the common denominator of 57/10 and u?
90
Let b = 611791/240 + -7652/3. Calculate the common denominator of ((-55)/60 + 1)*(-522)/45 and b.
240
Let d be (-4)/12*93 - (0 + -2). Let s = 31 + d. Suppose -2*x - j = -67, -s*j + 12 = 3*x - 89. Calculate the smallest common multiple of 21 and x.
231
Let k(j) = 2055*j**2 - 3*j - 3. Let d be k(-1). Let v be 89108/(-96)*(-20)/d. Let z = 134/137 - v. Find the common denominator of 37/16 and z.
144
Suppose -64*j + 140*j + 320 = 108*j. Calculate the lowest common multiple of j and 370.
370
Suppose 13 = 2*d - 5*r, d - 3*r - 8 + 1 = 0. Calculate the common denominator of 130/(-8) - d/24*-3 and -49/4.
4
Let f be 114/4 + (-102)/(-12) + -9. Suppose -13 + f = 3*p. Calculate the least common multiple of 55 and p.
55
Let o(p) = -5*p**2 - 41*