Calculate the common denominator of 61/i - (-5)/(-45) and 12/5.
10
Let b = 197/8 - -4025/24. Let y = b + -190. Find the common denominator of y and -53/29.
87
Calculate the common denominator of 101/10 and 10/31384*(92/(-5) - -18).
39230
Let p(w) = w**2 - 9*w - 47. Let o(c) = -7*c**2 - 67*c - 23. Let v be o(-9). Calculate the smallest common multiple of p(v) and 61.
305
Suppose -226*q + 28832 + 6424 = 0. What is the lowest common multiple of 984 and q?
12792
Let o be (-118236307)/35958660 - (-14)/4. Let k = o - -16/5505. Calculate the common denominator of 109/20 and k.
1420
Let v(b) = b**2 + 22*b + 168. What is the least common multiple of v(-40) and 40?
4440
Let h be (21/(-9))/(760/(-17058)). Let r = h + -1119/20. Let k = -4110/1159 - r. Find the common denominator of k and -7/9.
549
Let s(o) = 12*o + 54. Let w be s(-6). Calculate the smallest common multiple of (1 - 1/(-2))*(-96)/w and 12.
24
What is the common denominator of 83/15 and 2128/72*(-17)/204?
270
Let i = -14997063/154 - -97384. What is the common denominator of -23/112 and i?
1232
Suppose 3*q = -9*q + 48. What is the least common multiple of 6/2 + 4 + q/(-4) and 31?
186
Suppose -4*i - 1703 = -3*p - 343, 0 = 5*p + 3*i - 2228. What is the lowest common multiple of p and 24?
1344
Let k = -98538908 - -4434957062/45. Let h = k + -15694. What is the common denominator of h and 29/40?
360
Let f be (-17)/51*(-6)/555484*-4. Let r = -5970949/34995492 + f. Find the common denominator of r and -29/8.
504
Let t be (1 - 0) + -8 - -4. Let l be t - 5/(3420/(-24087)). Let u = l + -544/19. Calculate the common denominator of 95/24 and u.
24
Let z = -2498524/9 - -276801. Let d = z - -814. Calculate the common denominator of d and -127/30.
90
Let a be 8/6 + 2 - (-4)/6. Suppose 3*n + 0*n - 296 = 5*u, 0 = a*u + n + 230. Let j = -53 - u. What is the smallest common multiple of j and 3?
15
Calculate the common denominator of 1 + 0 + (-62463)/(-7520) + -10 and 55/4.
160
Let y = 8 + -8. Suppose -2*j + 4*d = -10, y*j - 5*j = 4*d - 53. Suppose 15*z + t = 10*z + 70, 80 = 4*z - 4*t. Calculate the least common multiple of z and j.
45
Let j be ((40/16)/5)/(1/6). Suppose 3*c = -6*r + 5*r + 869, -3*r = j*c - 861. Calculate the smallest common multiple of 9 and c.
873
Let d be 4391 - 1 - (-8 - -5). Let k be -106*((d/(-56) - 3) + 0). Let v = -8632 + k. What is the common denominator of 35/9 and v?
252
Find the common denominator of (-4)/36*3 + (120232/8832 - 13) and -113/2208.
2208
Find the common denominator of -79/2648 and (327/8)/((-65)/((-3835)/(-531))).
7944
Let q = -35230 - -4791337/136. Find the common denominator of (-6)/(-4)*231/90 and q.
680
Let x = -3698 + 3874. Calculate the least common multiple of 231 and x.
3696
Let b = -4398422 - -70295447/16. Let g = 3551 + -8506. Let v = b - g. What is the common denominator of 65/4 and v?
16
Suppose -14*q = 56819 + 26537. Let x = -77443/13 - q. Calculate the common denominator of -117/10 and x.
130
Suppose -2*w + 3*g = -118 + 127, -4*g = w - 1. Find the common denominator of -55/112 and (62/3)/((-64)/w).
224
Let q be (-2 + (-41)/(-19))*308/4906. Let f = q - -604631/127110. Calculate the common denominator of f and 133/60.
60
Suppose 0 = -n - 2*o - 13, 2*n = 5*n + 4*o + 29. Let a be (n/6)/((-2)/16). Suppose -5*l - a + 139 = 0. What is the smallest common multiple of 6 and l?
54
Suppose -6 = 2*m - y - 4*y, -5*y + 4 = -3*m. Suppose -u - 4*z = 22, 2*u + m*u + 13 = -z. What is the least common multiple of u/3 - (-65)/3 and 3?
21
What is the common denominator of -46/75 and (-1947)/(-297)*(-3 - (-28)/9)?
2025
Let r = 288447/806504 - 676/1381. Calculate the common denominator of 131/1752 and r.
1752
Let k(p) be the second derivative of 5*p**3/3 - 84*p**2 + 6*p + 4. Calculate the lowest common multiple of k(28) and 98.
784
Let u(j) = -2*j**2 - 2*j - 5. Suppose 0 = 5*p - 3*y - 17, -5*y - 10 - 1 = -4*p. Let n be u(p). What is the least common multiple of (-24)/10*n/6 and 2?
18
Let m(r) = -9*r + 26*r - 12*r + 82 + 29. What is the smallest common multiple of m(-9) and 2?
66
Let b = 2261/110 - 109/22. Let k = b - 57/20. Calculate the common denominator of 79/24 and k.
24
Let a = 1/3642931212 - 107953712823773/73470636683616. Let g = a - -3/5042. Calculate the common denominator of (-1)/8*404/8 and g.
32
Let r = -78/745 + 6177/46190. Let j = r + 1191/620. Calculate the common denominator of j and -19/10.
20
Let s(p) = 6*p + 19. Let c be s(6). Suppose -7*x = -12*x + c. Let i = 6 - -3. What is the least common multiple of i and x?
99
Suppose 133*b - 136*b + 907 = -4*t, 4*b = -5*t + 1230. What is the smallest common multiple of 180 and b?
10980
What is the common denominator of 5/2332 and (-19)/4*1032/45580*(-5)/(-12)?
4664
Suppose 0 = -f + 4*p + 8, -5*p + 13 = 5*f - 27. Let w = -7655 - -7664. Calculate the least common multiple of f and w.
72
Let v(c) = 140*c + 10372. Let m = -64 + 46. Let k = -12 - m. Calculate the least common multiple of v(-74) and k.
12
Suppose 17*g + 27*g - 178 + 2 = 0. Calculate the least common multiple of 11568 and g.
11568
Calculate the common denominator of 13 - (34125/2085 + -3) and -53/6.
834
Let n(g) = g**3 - 12*g + 12. Let f be n(-4). Calculate the least common multiple of f/(-26) - (-5 + (-668)/52) and 9.
18
Let u = 242400 + -8725837/36. Let m = u - 35/9. What is the common denominator of m and 554/126 - 4/14?
36
Let p = 49 + -33. Suppose 2*s + 3*s = 130. Calculate the least common multiple of p and s.
208
Let o(k) = 2*k + 5. Let g be o(-10). Let n be (-3336)/10*g/10. Let r = -14537/30 + n. What is the common denominator of -23/16 and r?
48
Suppose 140 - 1330 = -17*y. Let n = -43 + y. Calculate the lowest common multiple of n and 15.
135
Calculate the least common multiple of (31/((-372)/1104))/(-1) and 2139.
8556
Suppose -n + 32 = n. Let a = 21 - 16. Suppose 0 = 2*o - 7*o - a*b - 10, -4*b = 16. Calculate the least common multiple of o and n.
16
Suppose -4*i - 92 + 76 = 0. Let u = 25 + -26. What is the common denominator of (-213)/58 - (i - u) and 63/8?
232
Let t(q) = q**3 - 4*q**2 + 6*q - 6. Let y be t(3). Suppose -24 = -y*d + 5*x - 15, d = 5*x - 7. Calculate the least common multiple of 24 and d.
24
Let f = 1464/13 - 578371/5135. What is the common denominator of 5/31 and f?
12245
Let z = -7776084402/317276261689 + 3523/143933. Let q = z - 24073304001/6727624316. Let w = 3/436 + q. Calculate the common denominator of -121/10 and w.
70
Let j = -8371/1008 - -3/112. Calculate the common denominator of j and -49/78.
234
Let u = -2441/42 - -371/6. Find the common denominator of u and (3*2/(-4))/(17/(-22)).
119
Let k = 51 + -24. Let j(l) = 16*l**3 + 6*l**2 + 5*l - 12. Calculate the smallest common multiple of k and j(2).
1350
Let q = -8888401/462 - -19239. Find the common denominator of 10/11 and q.
462
Let q be (2 - 8)/(4/1 - 5). Suppose 225 = q*z + 1125. What is the common denominator of (45/z)/((-6)/(-365)) and 79/2?
4
Let y = -5039/30 - -861/5. Find the common denominator of 137/588 and y.
2940
What is the lowest common multiple of 396 and 10/8 - (-75 + 101)/((-24)/9)?
396
Calculate the common denominator of 115/72 and (-43435)/(-101640) + 2/(-6).
8712
Let y = -11947/3 - -59618/15. What is the common denominator of y and -53/3345?
3345
Let b = -21771 + 33287. What is the least common multiple of b and 6?
34548
Let y = 29556844/165 + -179133. Find the common denominator of y and 29/120.
1320
Let x = -8 - -29. Let b(q) = -q**2 - 339*q + 2079. Let s be b(6). Suppose -x = -d + s. Calculate the lowest common multiple of 12 and d.
60
Suppose 5*d + 98 = v, 2*v - 23 = 3*d + 173. Calculate the least common multiple of v and 924.
6468
Suppose -15*o + 18*o - 2232 = 0. Let f = -1523/2 + o. What is the common denominator of f and 25/56?
56
Let f(b) = 7*b**2 - 16*b - 5. Let s be f(3). Suppose 2*a - 3*g + 1 = 0, -2*a - 2 = -14*g + s*g. Calculate the lowest common multiple of 60 and a.
60
What is the smallest common multiple of 12/(1 - 1/3) and (-20)/(200/170) - (-178 + 44)?
234
Let m = 2/169 + -8641/1859. Find the common denominator of m and -63/4238.
46618
Suppose 0 = -y + 2. Suppose 2*l = 3*j - 1, y*l = l + 5*j - 11. Suppose -4*v - 5*n = -23, -2*n + 2 = l. Calculate the smallest common multiple of v and 5.
35
Let z(o) = 6*o**2 + 12*o - 10. Suppose -16 = 