se 3*n = 0, -u*n = 3*b - 6*n + 63. What is the common denominator of (-1378)/168 - 6/b and 117/50?
300
Let b be (-24)/20*80/(-12). Let q = 98 - b. Suppose 0 = -5*u + 2*r - 0*r + q, 4*u - 72 = 4*r. Calculate the lowest common multiple of 22 and u.
198
Let t(s) = -s**3 + s**2 + 2*s - 2. Let x be t(1). Suppose x = -4*j + 63 + 1. What is the lowest common multiple of 200/j + (-3)/6 and 12?
12
Suppose 0 = j - 5*b + 42, -3*b - b = 3*j + 69. What is the common denominator of j + 20 + 734/140 and -17/28?
140
Let a(i) = i**3 - 28*i**2 + 25*i + 42. Let z be a(27). What is the least common multiple of (-327)/z + 5/(-20) and 45?
135
Calculate the lowest common multiple of 4 and 12/(-9)*6/16*(-2 + -176).
356
Let p(h) = -11*h**3 - h**2 + 11*h + 66. Let c be p(-6). Let r = c + -23281/10. Find the common denominator of 21/32 and r.
160
Let j(o) be the second derivative of 7*o**3/2 - 50*o**2 + 35*o. Suppose -3*b = -2*b + t - 11, -3*t = -6. Calculate the least common multiple of j(16) and b.
2124
Let t = 413/15 - 26. Let p(a) = -4*a - 32. Let o be p(-10). Calculate the common denominator of (-69)/(-90) - 12/o and t.
15
Let o(l) = l**3 - 3*l**2 - 4*l + 3. What is the lowest common multiple of o(5) and 6 + 6354/126 + (16/(-14))/(-2)?
627
Let y = -450 + 474. Let z be ((-9)/2)/((-3)/(-216)). What is the common denominator of (1/(-15)*2)/(y/z) and 52/3?
15
Let f = 16630941973 + -3592306593833/216. Let m = 107073 + f. Calculate the common denominator of 25/48 and m.
432
Let a = 63 + -64. Let p be (174/435)/(12/(-10) - a). Find the common denominator of (p/(-6))/(4/(-99 + 7)) and 76/21.
21
Let i = 86892 - 382759262/4405. Let h = -207051/35240 - i. Let c = 15/1678 + 69337/33560. Find the common denominator of h and c.
40
Let u = 6 - 13. Let m be (u - -9)*(1 + 1 + 0). Suppose -b = 4*b + 25, -26 = -3*x + m*b. Calculate the least common multiple of x and 8.
8
Suppose -184*i = -713410 - 413774. What is the smallest common multiple of i and 15?
30630
Calculate the common denominator of 23/315 and -2*(-6310)/(-1080) - -12.
1890
Calculate the smallest common multiple of 780 and (-1146)/(-5157) - ((-3952)/(-18))/(-2).
8580
Suppose 10 = h - 2*s, 365*h + 5*s = 364*h + 17. Let k = -5 - -7. Suppose -4*o + k = -2*o. Calculate the least common multiple of o and h.
12
Let q = -73 - -81. Calculate the lowest common multiple of 4/(-10) + 25098/445 and q.
56
Let k = -7314089615/96 + 76187697. Let n = k - -2203/3. What is the common denominator of n and (-363)/42 - 2 - -3?
224
Let m be 2*(-6)/(-9)*45/12. Let o be (20/m + -4)/(0 - -3). Calculate the lowest common multiple of 8 and 8 - (4 + -4 - o).
8
Suppose 56*o - 770 = 13*o + 32*o. What is the lowest common multiple of 445 and o?
6230
Let f = 7471/1078 + -1/539. Find the common denominator of (-2588)/(-360) + -11 - (-4)/(-5) and f.
126
What is the common denominator of 103/18 and 266/12*(-15)/(-525)*50/4?
36
Let s(n) = n**3 + 22*n**2 + 9*n + 22. Let v be s(-21). Let r = 357 - v. Calculate the lowest common multiple of 2 and r.
166
Let t = -429 + 259. Calculate the lowest common multiple of 54 and (t/25 - -6) + 638/10.
378
Let p = 1280547/35 - 36587. Calculate the common denominator of p and -2 - (-2)/((-54)/147).
315
Let x be (75/(-25))/(3/4) + 7. Suppose 11*z - 15*z = -3*y - 42, x*z = -2*y + 23. What is the least common multiple of z and 6?
18
Let f be (-6)/(-12)*(81 - (3 + -4)). Suppose f - 6 = 5*x. Let o(l) = 3*l. Calculate the lowest common multiple of o(1) and x.
21
Suppose 31542 = -372*a + 396102. What is the smallest common multiple of a and 1568?
7840
Let b(d) = -35*d**2 - d + 2422. Calculate the least common multiple of b(0) and 14.
2422
Let b = 93793/16 + -5860. What is the common denominator of b and 9/52?
208
Let h(b) = 20 + 4*b + 35 - 17. Let d be h(-9). Calculate the lowest common multiple of (d + 10)/((-1)/(-1)) and 21.
84
Let c = 2 - 1. Let l = 9711 + -9702. What is the lowest common multiple of l and (1/(-2))/(c/(-14))?
63
Calculate the common denominator of (-4 + (-94)/(-27))/((-20)/(-105)) and ((-2)/20*4)/((-7200)/12875).
144
Find the common denominator of -37/8858 and (3/36)/(((-1560)/(-3708))/26).
88580
Suppose -128*b = -135*b + 14. Suppose -b*p - 80 = -2*q, p + 122 = 3*q - p. Calculate the common denominator of q and 73/38.
38
Let b be (-3)/13*((-376548)/68)/(-3). Let z = -3381/13 - b. Let c = -112409/680 + z. Calculate the common denominator of -139/12 and c.
120
Suppose 1808 + 2976 - 619 = 119*d. What is the least common multiple of d and 1250?
8750
Find the common denominator of -67/162 and (((-8)/(-48))/(8/8))/(34/(-594)).
2754
Let x be 4/(-6) + (-112042)/30. Let f = x + 7449/2. Let o = -32/703 - -37483/4921. Find the common denominator of f and o.
70
Let m(q) = 37*q - 252. What is the lowest common multiple of m(8) and 828?
9108
Suppose 101 + 227 = 4*h. Let k = h + -72. Let b(y) = y**2 - 9*y + 1. Calculate the smallest common multiple of b(k) and 43.
473
Let i be (-7)/(-5 + 1 - (-7 + 4)). What is the smallest common multiple of (2/(-4))/((-15)/90) and (-16 + i)*(1 + 22/(-6))?
24
What is the least common multiple of 56 and 1774 - (-6 + 300/54 + (-256)/72)?
7112
Suppose -59*g + 54*g - 3*x + 178 = 0, 106 = 3*g + x. Calculate the least common multiple of 406 and g.
2030
Let y = -188 + 114. Let a = 86 + y. What is the smallest common multiple of 5*(-12)/(-45)*a and 16?
16
Suppose -3*i - 2*i + 10 = 0. Suppose -m + i = -0. Find the common denominator of (-18)/16 + -2 + m/(-2) and 113/12.
24
Let t = 9466/7 + -227723/168. What is the common denominator of -77/1108 and t?
6648
Let g = -18947 - -3884143/205. Let n = -16147/1230 - g. Calculate the common denominator of n and -23/140.
420
Let w(q) = q**3 - 20*q**2 + q - 13. Let i be w(20). Suppose 8 = i*t - 27. What is the lowest common multiple of t and 17?
85
Suppose 9*x - 5*x = 144. Calculate the smallest common multiple of (-4)/24 + (-454)/(-60) - 36/(-60) and x.
72
Let l = -395612731/588 - -672811. What is the common denominator of 68/21 and l?
588
Let k = 251901/49 - 5141. What is the common denominator of -43/1267 and k?
8869
Let r = 0 + 10. Let u be 27/12 + (-9)/36. Let h(z) = 7*z + 6. What is the lowest common multiple of r and h(u)?
20
Let b = 6467/60 + -419/4. Let w = -539293/169743 + -108/8083. What is the common denominator of b and w?
210
Let z(y) = -2*y**3 - 59*y**2 - 130*y + 279. Calculate the least common multiple of z(-30) and 15.
25395
Let i = -4 + 10. Let v = 4/13635 - -68063/381780. Calculate the common denominator of v and (-53)/(-12) + (-3)/i.
84
Let o(z) = -z**2 + 6*z - 7. Let s be o(-6). Calculate the common denominator of (-1411)/1360 - (-8)/(-20) and s*(9/(-48))/(-3).
16
Suppose -3*n = -8*n + 40. Let h be ((-44)/4 + 5)*46/3. Let f = h + 100. What is the least common multiple of f and n?
8
Let i(k) = -k - 24. Let u be i(0). Find the common denominator of (-55)/(-198)*118/20 + 1 and (-270)/u*(-3)/20.
144
Let o(a) = -16*a**2 - 4*a**3 - 7*a**2 + 1 - 26*a + 3*a**3 + 8*a**2 - 12*a**2. What is the smallest common multiple of 77 and o(-26)?
77
What is the common denominator of -109/140 and -1*(-664)/(-476)*(105/(-52) - -2)?
30940
What is the common denominator of (-5 + 1)/((-358530)/3705) and 38/153?
5661
Let b(o) = 39*o + 249. Let w(m) = 4*m + 25. Let r(f) = 2*b(f) - 21*w(f). Let c be r(-6). Calculate the least common multiple of c + (-2)/(4/2) and 16.
16
Let a = 43283/60228 - -11/956. Find the common denominator of a and -61/1206.
8442
Let f = 2943140428 + -122849624587570/41741. Let x = f - 2/623. Let s = -109 + 565/6. Find the common denominator of x and s.
402
Let y = 155 - 185. Calculate the least common multiple of ((-42)/(-35))/((-1)/y) and 52.
468
Find the common denominator of (-27)/585*(7 - 326/40) and -52/11.
14300
Let o = 8592527/1095461535 - -1/286545. Let y = o - 570707/137628. Find the common denominator of y and (2/(-10))/(1*66/(-45)).
396
Calculate the least common multiple of ((-138)/(-1840)*-20)/((-1)/14) and 1791.
12537
Let l be (-3)/(13338/52756232) + 1. Let d = -11865 - l. Let t = d - -42245/8892. What is the common denominator of -87/20 and t?
20
Suppose 56772 - 168786 = 14*c. Calculate the common denominator of 3/14 and ((-3)/(-4))/(7/(c/(-162))).
168
Calculate the smallest common multiple of 9660/(-46)*(-2)/7 and 2172.
1086