alculate the common denominator of s and ((-188)/(-32))/(22/c).
198
Let o = 19946/13 - 1536. Let j = 10722459371/665 + -16124004. Let r = j - -22/95. Find the common denominator of r and o.
91
Let u = -48404 + 481961/10. Suppose 2*h = 2*a - 1 - 417, 3*h + 5*a = -595. Let x = u - h. Find the common denominator of x and 131/24.
120
Let q(z) = 3*z**3 - 3*z**2 + 3*z - 2. Let r be q(2). Suppose 3*t - r = 8. What is the smallest common multiple of t and (-3 - (-39)/9)/((-30)/(-945))?
168
Suppose -o - 550 = 4*o. Let a = 9483 - 208521/22. Find the common denominator of o*(68/64 + -1) and a.
88
Let k = -1877/1309 + 1/187. Let p(z) = 7*z - 19. Let b be p(3). Find the common denominator of k and (b/24*-2)/(28/3906).
28
Let v(b) = -1 - 5*b + 2 - 6*b - 7*b. Calculate the smallest common multiple of 3 and v(-1).
57
Let o = -33903 - -3865073/114. What is the common denominator of 45/22 and o?
1254
Let u = -32 + 51. Calculate the common denominator of (-2)/(-13) - -2*u/(-416) and 67/2.
16
Let r = 4847/3 - 1595. Calculate the common denominator of (-1414)/60 + 38/95 and r.
6
Suppose 0 = -0*x - 2*x - 3*r + 5, 3*r = 2*x + 1. What is the least common multiple of 14 and x?
14
What is the common denominator of -161/78 and -10 + (1186/104)/1?
156
Let o(i) = i**2 + 12*i + 11. Let g be o(-12). Let n = g + 1. Calculate the least common multiple of n and 8.
24
Suppose -2*v = 3*v + 3*g - 132, 2*v = -4*g + 64. What is the least common multiple of 4 and v?
24
Let p = 813/16 + -9351/184. Find the common denominator of 131/6 and p.
1104
Suppose -4*n - 4 = -p - 0, 3*n = 0. Suppose -p*d + 0*d = -13832. Let z = d + -48459/14. Calculate the common denominator of z and -7/10.
70
Let q = -388 - -391. Calculate the lowest common multiple of 27 and q.
27
Let l = -34823/6 + 5823. Calculate the common denominator of -46/15 and l.
30
What is the smallest common multiple of 3330/37*(-8)/(-3) and 80?
240
Let d(y) = -y**3 + 5*y**2 + 16*y + 7. Let m = 100297/109100 - -3/4364. What is the common denominator of d(7) and m?
25
Let a = 84462983/197756 + 7272/3803. Let j = a - 429. What is the common denominator of j and 77/20?
260
Suppose -b - 4*h + 2 = -20, 5*h = -3*b + 38. What is the smallest common multiple of b and 73?
438
Let q(g) = -g**2 - g + 22. Suppose 0 = 3*u + 2*c + c - 9, -12 = -2*u - 4*c. Calculate the lowest common multiple of q(u) and 22.
22
Suppose -2 = 2*v - 4, -4*d + 13 = v. Find the common denominator of 97/64 and d/(-72)*996/8.
64
Let y(k) = -k**3 - 2*k**2 + 0*k**2 - 5*k**2 - 2*k + k**2 - 9. Calculate the least common multiple of y(-6) and 4.
12
Let a(k) = k**2 + 6*k - 5. Let t be a(-7). Let y be t + -1 - (-88915)/(-70). Let h = -1268 - y. What is the common denominator of -97/2 and h?
14
Find the common denominator of 109/12 and 20/50 + 3/(-840)*57.
168
Let n = -1122 - -1166. Calculate the smallest common multiple of n and 104.
1144
Suppose -a - z + 3 = 4*z, 2*z = 2*a - 6. Suppose -a*i + 64 = k, -i + 32 = -8*k + 3*k. What is the least common multiple of i and 32?
352
Let c(v) = -35*v - 139. Calculate the smallest common multiple of 6 and c(-4).
6
Let w = -27503 - -5461. Let g = w - -485005/22. Let a = 1207/150 + 378/25. Find the common denominator of a and g.
66
Let x(f) = -f + 27. Suppose -5*d = -5*g + 4*g + 51, 0 = -3*g - 3*d + 63. Calculate the smallest common multiple of 13 and x(g).
13
Let v = 0 + 12. Let c = -2 + -14. Let w = v - c. What is the common denominator of w and 59/2?
2
Let v(g) = 23*g + 149. Calculate the least common multiple of 68 and v(-5).
68
Let j(s) = -s**3 - 19*s**2 - 22*s - 99. Let k be ((-148)/5)/(486/73). Let b = k + 2/1215. Calculate the common denominator of b and j(-18).
9
Calculate the common denominator of 3305/(-560) + 10 - (0 + 4) and -49/48.
336
Let s(o) = -o**3 - 15*o**2 - 14*o + 11. Suppose -8*w - 54 = w. Let k = w + 10. Calculate the smallest common multiple of s(-14) and k.
44
Let n be 28 + (-20)/(-5) + -8. Suppose 9*t = 13*t - n. What is the least common multiple of 2 and t?
6
Let a(u) = 2*u + 4. Let o be a(-3). Calculate the smallest common multiple of o + (-24 + 4)/(-1) and 12.
36
Let a = -9335/6 + 1559. Calculate the common denominator of a and -30/833.
4998
Let z = -14115 - -465844/33. Calculate the common denominator of z and 71/63.
693
Let m = -1/10586 + 730499/688090. What is the common denominator of m and 22/15?
195
Let v = -461 - -471. What is the lowest common multiple of -2*(-1 + (-1)/2) and v?
30
Suppose -90 = 30*u - 35*u. Suppose 4*c - u = -2. Calculate the lowest common multiple of 12 and c.
12
Let s = -3/6260 + 266083/68860. What is the common denominator of s and 121/36?
396
Let n(w) = -w + 6. Suppose 304 = 26*i - 398. What is the least common multiple of n(-6) and i?
108
Let c = -111 + 66. Find the common denominator of (-9)/c - 473/90 and 85/8.
72
Let x be 1*5/(4 - -1). Suppose 0 = 3*b + 1 - 4. Let q = b + x. What is the least common multiple of 8 and q?
8
Suppose 122 = 2*c + m, -9*m = -3*c - 10*m + 182. Calculate the smallest common multiple of c and 30.
60
Calculate the common denominator of (-27)/(-108) + (-163)/(-12) and -11/1784.
5352
Let w = 1389 + -2786. Let t = -233964 - -1162808/5. Let v = t - w. Find the common denominator of -39/7 and v.
35
Let q be 0/(-4) - (-1)/(-1). Find the common denominator of 83/8 and (q/(-5))/(16/(-188)).
40
Let q be (-1197)/12 - (-2)/(-8). Calculate the common denominator of 61/2 and q/6 - (-3 - 0).
6
Let b = 4878456/7525 + -28014/43. Let y = 87881/25 + -3514. Let z = y - b. What is the common denominator of 38/3 and z?
21
Suppose 149 + 61 = -3*l. Find the common denominator of 700/(-48) + 2 + 0 and (-4)/(-10) - (-223)/l.
84
Let v = 8 - -8. Suppose -v = 2*j - 26. Let s(a) = a + 5. What is the smallest common multiple of j and s(-4)?
5
Let n = 4514/623 + 79093949/11214. Let w = -7063 + n. What is the common denominator of (-73)/(-52) + (-1)/(-4) and w?
234
Let z = -704310316427/1590 + 442962444. Let o = 16698 + -13274906/795. Let x = z - o. What is the common denominator of x and 47/6?
6
Let a(y) = 5*y**3 - 3*y**2 + 5*y - 1. Let k(o) = 3*o**2 - 2*o - 1. Let b be k(-1). Let f be a(b). Find the common denominator of f/21*2/(-4) and -83/8.
56
Calculate the smallest common multiple of 144 and ((-1000)/800)/(1/(-128)).
1440
Suppose -4*c - 7*c + 11 = 0. Suppose 5*l - 51 + 7 = 2*u, l + 4*u = 0. What is the common denominator of c and l/(-28) + 171/(-14)?
2
What is the least common multiple of 242 and (3 - 352/(-33)) + 2/6?
1694
Let r = 22684/7 - 3235. What is the common denominator of r and 1 + 146/(-10) + 2?
35
Suppose 0 = -4*w - y - 325, -w + y - 395 = 4*w. Let h be 12899/w*(-708)/12510. Let r = h - 2/10425. Calculate the common denominator of r and -89/4.
8
Calculate the common denominator of ((-1)/((-6)/(-21)))/((-207)/(-253)) and -53/358.
3222
Let p = 692809/72 + -9623. Calculate the common denominator of 73/64 and p.
576
Find the common denominator of 62/((-2)/(-1 - (-6)/12)) and -35/2.
2
Let p = 45157841/350 + -129022. Calculate the common denominator of p and 59/35.
350
Suppose 0 = 5*h - 2 + 17. Let b be (-116)/46 + h/(-6). Let n = -1825/368 - b. What is the common denominator of n and -61/2?
16
Let r = -1773 - -1754. Find the common denominator of r and 0 - 38/(-3) - 0.
3
What is the common denominator of -23/105 and (-4)/10*1/14?
105
Let p be -1163*(-8)/(-231) - -2. Let r = p - -269/7. Calculate the common denominator of -17/15 and r.
165
What is the common denominator of (-894)/(-4)*(-1)/(-9) and 2499/(-132) - (-4)/22?
12
Let t be 145/(-171) - (-2 - -1). Let j be 54/(-27) - 5407/1710*-4. Let m = t + j. What is the common denominator of 83/6 and m?
30
Suppose 0 = l - 5*m - 125 + 34, 0 = 5*l - 3*m - 455. Calculate the lowest common multiple of 78 and l.
546
Suppose 2*a - 4*k = 22, -3*k = -3*a + 8*a - 68. Calculate the least common multiple of 78 and a.
78
Let t = 671 - -793. Calculate the smallest common multiple of 9 and t.
4392
Let c(m) = m + 11. Let f be c(-5). Find the common denominator of (-1)/2 + (-137)/f and ((-67)/20 - -2)*8.
15
Let c(j) = 4*j**3 - 6*j**2 - 3*j + 15. Calculate the smallest common multiple of 78 and c(3).
780
Let r be 4*3/18*30/4. What is the common denominator of -139/6 and r + (-196)/35 - (-3 + 2)?
30
What is the common denominator of ((-95)/(-6