
Let b = -111 - -95. Calculate the common denominator of 1191/408 - (-2)/b and -1 - 1 - 35/(-6).
102
What is the common denominator of 68/171 and (228/494 - (-33)/(-156)) + 46/432?
4104
Suppose 5*s - 23 = 2*z, -3*s = -7*s + z + 19. Suppose s*k + 3*k - 600 = 0. What is the common denominator of -43/9 and (2 - 4/(-3))*(-80)/k?
9
Let n be (-21*(-7)/(-2100))/(6/8). Let c = n + 149/150. Calculate the common denominator of c and 45/956.
4780
Let i(v) = -8*v**2 + 30*v - 159. Let d be i(6). What is the common denominator of (1/(-48))/(d/8900) and -161/180?
180
Let g be (-3)/6 + (-3 - (-27)/6). Let s be -4 - (-2 + (3 - g)). What is the lowest common multiple of 27 and (2 - (-6)/s)*66?
297
What is the least common multiple of 7/1 - (35 + -39) and 116?
1276
Let k(o) = o**2 - 15*o + 2. Let g be k(14). Let m be (-18)/(-7) + g/21. What is the common denominator of (9/5 - m)/((-136)/(-1220)) and 97/10?
170
Suppose -5 = 7*h + 9. Calculate the common denominator of 6/9*h/(976/(-142)) and -9/4.
732
Let j = -3/631 + -57367/11358. Let a = -4343/16480 - -1/160. Calculate the common denominator of a and j.
1854
Calculate the common denominator of (-183)/(-488) - 2420/(-672) and -41/1421.
8526
Suppose 5*d - 16*d + 1848 = 0. Let z = -23347 + 933773/40. What is the common denominator of d/42 + 79/(-2) and z?
40
Suppose -15*f - 5*c = -14*f - 26, f + 3*c - 16 = 0. Calculate the least common multiple of f*2 - (2 - (-670)/(-5)) and 18.
1206
Let u = 1783547/480 + -18572/5. Calculate the common denominator of 89/15 and u.
480
Find the common denominator of 92/75 and ((-72)/(-40) - 6/(-9))/5.
75
Suppose -5*y = 5*v - 17 - 23, 0 = 4*v + 5*y - 32. What is the common denominator of (-18)/v*(208/(-12))/(-2) and (-34)/(-3)*3/40?
20
Let t = -6/24157 - 24978284/217413. Let f = -3791/36 - t. Calculate the common denominator of f and -45/44.
132
Suppose 945*p = 1066*p - 518606. Calculate the lowest common multiple of 4 and p.
8572
Let i = 830001/280 + -14823/5. What is the common denominator of i and -1/10?
280
Suppose -25*q + 4921 = -6*q. Suppose -v = -q + 224. What is the least common multiple of 30 and v?
210
Let i(m) = m**2 + 5*m + 3. Let l(a) = 5*a**2 - 183*a - 60. Calculate the least common multiple of l(37) and i(-5).
42
Suppose z = 5*f - 28, 2*z - z - 26 = -4*f. Let g(c) be the second derivative of 2*c**3/3 + 3*c**2/2 - 2*c. What is the lowest common multiple of 33 and g(f)?
297
Let c = 5735 + -5615. Suppose 3*q - 3*z - 39 = 0, 0 = -q + 3*z + 9 - 2. What is the lowest common multiple of q and c?
240
Find the common denominator of 1647/3692 - 482/3133 and 79/426.
852
Let n = -301 - -51. Let z = 376 + n. Suppose -20*v = -11*v - z. Calculate the lowest common multiple of v and 3.
42
Find the common denominator of -57/1400 and 6286/8820 - (-6 - -7).
12600
Let f = 450 - -192. Let j = f - 3197/5. Find the common denominator of -117/70 and j.
70
Let j = -41 + 81. Calculate the least common multiple of j and (-6)/(-15) - (-2888)/380.
40
Let h(b) = -b**3 + 2*b**2 - 6. Suppose 69*f - 30*f + 1835 = 4760. What is the least common multiple of h(-4) and f?
450
Let d = 1792 - 216. Calculate the smallest common multiple of 1182 and d.
4728
Let g(d) = -d**3 - 6*d**2 + 4*d + 2. Let j be g(-6). Let t = -106137/10 - -10616. Calculate the common denominator of (j/8)/((-23)/(-10)) and t.
230
Let y = 78 - 119. Let g = -40 - y. Find the common denominator of -87/2 and (-990)/40*g/14.
56
Let z = -10293461/820 + 12553. What is the common denominator of z and -47/20?
820
Let c be 22/33*6*6/8. Suppose -442 = -4*a - 2*v, -2*a + 3*v + 207 = 6. Suppose -c*p + a = p. What is the smallest common multiple of 3 and p?
27
Let j be ((-2 - -2)*-1)/(10 + -9). Let s(h) = h**3 - h**2 - h + 18. Suppose 4*u = 9*u - 75. What is the lowest common multiple of u and s(j)?
90
Let w(o) = 6*o**2 - 24*o + 5. Let t be w(4). Calculate the common denominator of ((-37)/t + 3)/(12/15) and 53/68.
68
Suppose 4 = -3*f + 16, 4*f - 32 = y. Find the common denominator of 61/32 and ((-17332)/1040)/7 + y/(-40).
416
Let w = -16426 - -3778001/230. Find the common denominator of -61/20 and w.
460
Let w(k) = -19*k + 1430. Calculate the smallest common multiple of w(74) and 84.
168
Let d(b) = 3*b - 105 + 52 + 45. Let l be d(5). Suppose -3*j + l = -5, -j + 84 = 5*r. Calculate the smallest common multiple of r and 4.
16
Let n be 634/10 - (-3 - -4). Let i = 239/10 - n. Let h = 121489/18 - 6755. Find the common denominator of i and h.
18
Let q be (-54)/(-243) - 248/3222. Let c = q - -2266/4117. Calculate the common denominator of c and -67/4.
92
Let f = 962 + -838. Calculate the smallest common multiple of 836 and f.
25916
Find the common denominator of 31/40 and 72/(-132) + (-2421)/(-264).
40
Let r(t) be the first derivative of -t**3/3 - 23*t**2 - 196*t - 162. What is the least common multiple of r(-41) and 33?
99
Let j = -1151/400 + -53/50. Let z be (-1446)/(-33) + 4 - (-6)/33. Find the common denominator of (-606)/z + (-30)/(-12) and j.
16
Let k = 56924388179/8042 - 7078387. What is the common denominator of k and 79/14?
56294
Let p = -1575 + 3438. What is the smallest common multiple of 18 and p?
3726
Find the common denominator of (493/522)/(-2*71/21) and -7/24.
1704
Suppose -5*q = -2*q - 9. Let m(o) = o**3 + 54*o**2 + o + 84. Suppose -402 - 84 = 9*i. Calculate the lowest common multiple of q and m(i).
30
Let g = -55543/8072 - -6/1009. Let j = 471 + -256. Calculate the common denominator of (j/(-60))/((-1)/(-2)) - 4 and g.
24
Let k = 673 + 1061. Calculate the lowest common multiple of 2312 and k.
6936
Let p be (0 + 1)*(20/(-5) - -3). Find the common denominator of ((-1)/(-12))/(p/145) and ((-39)/21)/(24/(-14)).
12
Let r = 27473/1495 - -451175879/107640. Let u = r - 4210. Calculate the common denominator of u and 43/8.
72
Let l(v) = -271*v**3 + 5*v**2 - 41*v - 103. Calculate the lowest common multiple of l(-2) and 394.
4334
Let h = 1969/2 - 963. Suppose 120*o - 3174 - 306 = 0. What is the common denominator of h and o?
2
Let v = 3/5338 - -162749/106760. Find the common denominator of -97/352 and v.
1760
Let m(p) = -p**3 + 9*p**2 - p + 12. Suppose -6*y + 17 = -37. Let z be m(y). What is the smallest common multiple of 27 and (0 + z/6)/((-3)/(-126))?
189
Suppose 6*c - 41 = 97 - 6. Suppose 25 = -5*h, 0 = -5*q + 2*q + 2*h + 484. What is the least common multiple of q and c?
1738
Let s(f) = 336*f**2 - 14*f - 39. Let k be s(-3). Let x = -181573/60 + k. Calculate the common denominator of x and -53/30.
60
Suppose 6*m = -5594 + 1238. Let r = -677 - m. Calculate the least common multiple of 14 and r.
98
Suppose -o = -2*a - 29 + 3, -4*a + 92 = 2*o. Let v = -60512 + 60534. Calculate the smallest common multiple of v and o.
396
Suppose 262*l = 221*l + 5330. Calculate the lowest common multiple of l and 48.
3120
Let l = -58 - -35. Let m = l + 38. Suppose 52*x = -8*x + 180. Calculate the least common multiple of m and x.
15
Suppose -4*w + 1 = -4*r + 85, 3*r = -2*w + 38. What is the lowest common multiple of 6/10*(15 - 525/45)*8 and r?
16
Let o = -25885 - -1035519/40. Let q = -82001/18744 - 1/4686. Calculate the common denominator of q and o.
40
Let g be (((-280)/(-6))/5)/(12/(-54)). Let a be (67186/6 - 2)/(308/g). Let z = 1527 + a. Calculate the common denominator of z and 55/18.
198
Suppose -5*w - 3*d = -3705, -5*w - 3*d + 3715 = -2*d. Let v = w + -8143/11. What is the common denominator of -67/14 and v?
154
Let p = 12 - 4. Let x(j) = 4*j - 12. Suppose 4*s - 3*k = 4, 2*k - 9 = -5*s + 19. Calculate the smallest common multiple of x(s) and p.
8
Calculate the lowest common multiple of 549 + (-4 - -2 - (38 - 43)) and 1380.
2760
Suppose 5*b = -4*k + 1584, -49*b + 51*b = 3*k + 652. Calculate the least common multiple of b and 384.
1920
Suppose -2369*q + 2361*q = -304. What is the smallest common multiple of q and 1?
38
Suppose s + 1 = -35. What is the common denominator of (207/s + 18/3)*-7 and -29/2?
4
Let h = 11460 - 378242/33. What is the common denominator of h and 7/6?
66
Find the common denominator of (-2 - -1)*61/(-14) and ((-11160)/20832)/(70/(-96)).
98
Let p = 545 - 587. What is the common denominator of -32/5 and -6 - 38/p*(17 + -6)?
105
Let p = 2942 + -2720. Calculate the smallest common multiple of p and 14.
1554
Let x = 2/3307 - -201655/119052. 