697/47 + -78. Calculate the common denominator of c and -55/122.
5734
Let r = -32300 + 36716. What is the least common multiple of 288 and r?
13248
Let s = 2/31985 + 1503199/1535280. Let v = -13 + 15. Calculate the common denominator of 1679/138 - 1/4*v and s.
48
Let m = 248 - 249. What is the common denominator of 63/134 and 4*m*(-94)/(-64)?
536
Suppose 2*j + m = 23 + 18, 2*j - m = 31. What is the lowest common multiple of (-3 - (-70)/15)/(3/j) and (-4 + 7)/(3/20)?
20
Let w be -4*4/16 - 130278/440. Let d = 3252/11 + w. Find the common denominator of -5*2/(-28) - 2 and d.
140
Suppose -5*x + 35 = 5*v, 17 = -5*x + 5*v + 2. Suppose -4*o = n + 16, -x*n - o = -3*o - 18. What is the least common multiple of 14 and n?
28
Let m be (-3)/12 + (-9235794)/24. Let r = m - -4223152/11. Let s = r - -903. Find the common denominator of 4/9 and s.
99
Let s = 390831481/879 + -444632. Calculate the common denominator of s and 24/7.
6153
Let x = -18433 + 18687. Suppose 5*j + 87 = 4*m, -4*j + j = 4*m - 63. What is the least common multiple of m and x?
2286
Suppose 2*h + 2*c - 832 = 0, h + 84*c - 416 = 89*c. What is the smallest common multiple of 64 and h?
832
Let g = -60 - -58. Let l be (-4 - (-2 + 0)) + g. Let p = 49 - l. Calculate the smallest common multiple of 8 and p.
424
Calculate the common denominator of (-2493)/(-972) + (-10)/8 and 95/48.
432
Suppose 19*i - 24*i - 1080 = 3*f, 5*i - 4*f + 1115 = 0. Find the common denominator of 0 - i/99 - 112/28 and -119/6.
66
Let q = 87 - 81. What is the smallest common multiple of -1*((-111)/15 - q/10) and 44?
88
Let b be (-3)/24*-4*-1654 + 3. Let a = b + 833. Calculate the smallest common multiple of 228 and a.
684
Suppose -45*b + 3328 + 1937 = 0. Calculate the least common multiple of 4459 and b.
40131
Let g = 3/1394 + -34213/27880. Find the common denominator of ((-130)/650)/((-15)/125) and g.
120
Suppose 546 - 186 = 67*l - 27*l. What is the least common multiple of l and 4605?
13815
Suppose 58 - 103 = 3*a. Let g be ((-25)/a)/(15/54). Suppose 3*c = 9, -19 - g = -2*p + 5*c. What is the smallest common multiple of 8 and p?
40
Let t = 142 + -143. Find the common denominator of 71/16 and t/((-216)/554) + (-2)/8.
432
Let i be -3*(-192)/(-45) - -7. Let k = -73/60 - i. Find the common denominator of k and 31/6.
12
Suppose 3*v + 52 = 10. Let q = 35 + v. Let n = -59 + 95. Calculate the least common multiple of q and n.
252
Let m be 48 + 2/18 + (-68)/(-36). Suppose 4*h - 5*q = m, -4*q + 16 - 8 = 0. Calculate the lowest common multiple of h and 25.
75
Suppose 8 = 2*a, -29 = -2*c - 3*a + 17. What is the lowest common multiple of c and 1/(6/10 + 26/65)?
17
Let r = 3956 - 2787. Let i = r - 14041/12. What is the common denominator of i and 289/24 + (-2)/3?
24
Let j = 3086 - -267. What is the lowest common multiple of 49 and j?
23471
Let g = 1648 - 5591/3. Let z = 13213/60 + g. Find the common denominator of 17/128 and z.
640
Let z = 42247/8 + -5291. Calculate the common denominator of z and -65/28.
56
Let b = 2801701 + -47642008/17. Let q = b - -1545/2. What is the common denominator of q and 402/(-45)*15/20?
170
Let k(d) = -22*d**3 - 2*d**2 - 5*d - 3. Suppose 0*r + 3*o = 5*r + 17, -4*o + 16 = 0. Calculate the lowest common multiple of 248 and k(r).
2728
Let y = -27585/9592 - -1/1199. Suppose 0 = t - 2*a - 470, t - 475 = 2*a - a. What is the common denominator of y and (40/(-4))/(t/285)?
16
Let b = 17490/139 + -17230037/136776. Find the common denominator of 85/492 and b.
984
Let k(u) = u**2 - 21*u + 118. Let r be (-5 + 2 + 0)*(-5 - -2). What is the smallest common multiple of k(r) and 112?
560
What is the common denominator of 191/330 and 65026/(-27060) + (-1)/15?
330
Suppose -3*q = -2*x + 641, -3*x - 2*q + 98 = -870. Calculate the least common multiple of 46 and x.
322
Let w(s) = s**3 + 5*s**2 - 10*s - 21. Let b be w(-6). Suppose b*n = 3, 4 = 3*d - 9*n + 4*n. Calculate the common denominator of 47/7 and 2 - d - (-305)/(-50).
70
Let m = 389058/7 - 2138262355/38472. Calculate the common denominator of 29/1374 and m.
5496
Let o(l) = -399*l**2 - 25*l - 24. Let g be o(-1). Let v = g - -503. Calculate the least common multiple of 18 and v.
630
Suppose 82 - 238 = -3*v. Let k be 0/v - -3979*1/16. Let c = k - 249. What is the common denominator of c and -93/14?
112
Calculate the common denominator of (-2223)/777 - (110/(-30) - (-2)/3) and 37/70.
2590
Suppose 6*j = 16*j - 1550. Calculate the least common multiple of j and 15.
465
Let d = -278/49 + 10747/2352. Calculate the common denominator of d and 44/549.
8784
Calculate the common denominator of (-5)/(270/369) - (-6 + 4) and -31/3320.
9960
Let h = 6082 - 72893/12. Let b = -60/373 - 97113/1492. Let d = 321/5 + b. What is the common denominator of d and h?
60
Let g be (-3 + 4 - 0)*53. Let c = g - 26. Suppose 13*z = 17*z - 36. What is the smallest common multiple of z and c?
27
Suppose -12*g + 781 = 2557. Let b = -2122/153 - -300/17. Find the common denominator of b and -1 - -5 - (1 - g/(-16)).
36
Let c = -78 - -671/9. Find the common denominator of c and 24/41.
369
Suppose 3*l + 312 = -4*s, -l - s - 120 = -5*s. Let c = 1678 - 1681. Calculate the common denominator of -101/16 and c + (-293)/l - (-1)/(-3).
432
Let i(v) = -v**3 + 7*v**2 + 6*v + 17. Let m be i(8). Let x(g) = -g**3 - 7*g + 9*g + m + 2*g**3 + 4*g**2. Calculate the smallest common multiple of 20 and x(3).
140
Suppose 0 = b - 8 + 4. Suppose -2*l + b*v = -6, 3*v - 1 = 2. Find the common denominator of -99/4 and (-62)/l + 4 + 0.
20
Let l = -14 + 26. Suppose 74*w + 1908 = 551*w. What is the lowest common multiple of w and l - (0 - 1)*-2?
20
Calculate the common denominator of -133/510 and -2*(876/72 - 12)*(-153)/(-14).
3570
Suppose 2*d - 9*d - 14 = 0. Let y = -12/1991 + -42782/169235. Find the common denominator of d and y.
85
Let q = -260 - -97. Let t be 4 + (4/18 - q/36). Let o = -115/8 + t. Calculate the common denominator of 31/28 and o.
56
What is the common denominator of 107/40 and (-14)/77 + ((-2439)/3300 - -1)?
2200
Suppose 20 = 4*x, -v + x + 0*x + 23122 = 0. Let g = v - 4347917/188. What is the common denominator of 97/4 and g?
188
Let n be (-27 - -12)/(3586/4). Let l = n + 94466/73513. What is the common denominator of l and -49/3?
123
Let t = -191563/6 + 31943. Calculate the common denominator of t and ((-242)/100)/(6/(-5)).
60
Let u = -170 - -287. Calculate the least common multiple of 84 and u + (-1)/3*15.
336
Let t(f) = -20*f - 22. Let z be t(-15). Let y = 286 - z. What is the lowest common multiple of 60 and y?
120
Suppose 3*h - 94*h + 9272 = 31*h. What is the lowest common multiple of 190 and h?
380
Let n = -96 - -98. Suppose -a + 15 = -4*u, a + 5*u = -a - 9. What is the common denominator of a and (-80)/56 - (-4)/n?
7
Let p be ((-1)/3)/((-20)/(-76674)). Suppose 14*n - 1289 = 13*n. Let z = n + p. Calculate the common denominator of -21/4 and z.
20
Let n = -7462 + 156655/21. What is the common denominator of n and (-3 - (-43)/21)/3?
63
Let j = 117871/84 - 5611/4. Find the common denominator of j and -11/6.
42
Let p = 994 + -7308. Let k = p - -189331/30. What is the common denominator of -64/15 and k?
30
Suppose -115*f + 23*f = 123*f - 87720. What is the lowest common multiple of f and 600?
10200
Let l(h) = -380*h**2 - 5*h - 1. Let s be l(-1). Let i = s - -409. What is the least common multiple of 108 and i?
1188
Let q = -6799/4 - -1680. Calculate the common denominator of q and (-10560)/5175 + 2/(-15).
92
Let k be -12*((-3)/11094*-4)/(-4). Let z = k - 24205/51772. Calculate the common denominator of z and 15/22.
308
Let h be ((-16)/6)/(-8)*15. Suppose -4*d = -8*d + h*s + 40, 61 = 3*d + 4*s. Suppose -52*f = -46*f - 180. What is the lowest common multiple of d and f?
30
Let k = 12 - 38. Let r = 669/341 + -23/62. Find the common denominator of (-5 - -2)*k/232 and r.
1276
What is the common denominator of (-128)/64 + (-14559)/(-7232) and -111/14?
50624
What is the common denominator of 3/6064 and ((-16)/55)/(51/(-153)*12/50)?
66704
Suppose 2*t + 27 = 3*u - 9, 5*u - 2*t - 56 = 0. What is the common denominator of 65/16 and (19/(-2))/((-38)/u + 3)?
16
Let o = -343115/93126 + 11/4233. Calculate the common denominator of 3/(-28) - (-2)/(-8) and o.
154
Let s(q) = 73*q**2 - 12*q - 16. Let w be s(-2). Suppose -7*z - w = -