 4421/14880 + 7/992. Calculate the common denominator of l and -77/1080.
2160
What is the common denominator of (834/(-808))/(972/(-72)) and 107/54?
5454
Let k = 10/3267 + 88009/65340. What is the common denominator of k and -95/132?
660
Suppose -556 = -7*u + 620. Suppose -j = -4, -5*k + 5*j + u = -57. What is the smallest common multiple of 35 and k?
245
Let f = 12689713/24 - 528375. Let r = f - 363. Find the common denominator of -139/102 and r.
408
Suppose -3*g + 2462 = -9*c + 4*c, -g + 2464 = -5*c. Let s = c - -503. Calculate the least common multiple of 70 and s.
70
Suppose w - 5*r + 23 = 0, -4*w + 3*r - 51 + 10 = 0. Let m = w + 34. What is the smallest common multiple of 14 and m?
182
What is the common denominator of -8/187 and 163/9*24/(-16)*47/3995?
5610
Let p = 3094 - 2898. Calculate the lowest common multiple of 63 and p.
1764
Let c be (-21 - -3)*28/(-8). Let j = -150 - -127. Let v = j + c. Calculate the lowest common multiple of 4 and v.
40
Let c(q) = q**2 - 6. Suppose 10*n - 967 - 93 = 0. Suppose n = 5*z - 59. Calculate the smallest common multiple of z and c(-6).
330
Let k = 10638628512 - 957457623143/90. Let r = k + -210475. What is the common denominator of 67/20 and r?
180
Let l = -10 + 14. Suppose -2*q + l*k + 4 = -24, -17 = -3*q + k. Suppose -3*v - 2 = -4*v + d, -4*v + q = -5*d. What is the smallest common multiple of v and 16?
48
Let s = 2323/259 + -94/37. Let c be (1*3)/((-27)/1584). Calculate the common denominator of -7*(-4)/(c/(-12)) and s.
77
Let w(i) = -i. Let r be (-4)/(-16) + (-6)/(-8). Let c(n) = -3*n**2 - 27*n - 9. Let d(l) = r*c(l) - 12*w(l). Calculate the least common multiple of 5 and d(-4).
15
Find the common denominator of ((176/(-440))/(12/(-98)))/(-2) and 41/8385.
16770
Calculate the common denominator of (-1122)/(-1309) - 143/56 and 127/1428.
2856
Let v be (2 + (-13120)/(-15))*30/4. Let g = v + -105155/16. Let j = -41609/22 + 1891. What is the common denominator of j and g?
176
Let f be 1/10*4 + 173/5. Let i = 195497/24 + -8147. Find the common denominator of ((-1)/(-2))/((-21)/f*1) and i.
24
Let r = -394079/20 + 59104/3. What is the common denominator of r and -143/1962?
19620
Suppose 4*n + p - 857 = 0, 3*n + 4*p - 583 = 76. Calculate the lowest common multiple of 1491 and n.
1491
Let q(u) = -u**2 + 4*u + 9. Let f(z) = 3*z**2 - 9*z - 9. Let i be f(4). Calculate the lowest common multiple of q(i) and 66.
132
Suppose -2*t - 2*j = -j - 19, -3 = -j. Calculate the smallest common multiple of 11 and (20/t + -3)/((-2)/4).
11
Let w = -1878319/40 + 46959. Let r = -27633/44 - -628. Find the common denominator of r and w.
440
Let k = -77 + 85. Let i(r) = 4*r - 24. Calculate the least common multiple of i(7) and k.
8
Suppose 1 - 5 = -4*s. Suppose 0 = -3*j, -3*j = o + 19 - 26. Suppose 12*u - 3*x - 13 = o*u, 14 = 5*u - 4*x. What is the lowest common multiple of u and s?
2
Suppose -5*m = -6*m + 816. What is the smallest common multiple of m and 48?
816
Let u = 1898 - 1894. What is the least common multiple of 703 and u?
2812
Suppose 5*y - i - 2365 = 0, 5*y + 3*i + 0*i = 2385. Find the common denominator of 32/5 and y/4*(-4)/24.
20
Suppose 0 = -6*a + 244 + 44. What is the common denominator of (6/a)/((-84)/(-1136)) and 9/7?
42
Let z = -10462 + 366138/35. Find the common denominator of z and 0 + -10 + -16 + 6698/255.
105
Let o = -34605/8 - -4331. Let y be (6/100)/((-216)/(-224940)). Let z = y - 766/15. Find the common denominator of o and z.
24
Let k = 5954 - 285847/48. Let d be (-27 + 23)/(4/42). Calculate the common denominator of k and (-12)/d - (-1035)/(-560).
48
Let k be (1/2)/(100/9000). Suppose 11*p = 6*p + k. What is the least common multiple of (-2)/3 - (-112)/6 and p?
18
Suppose 18 = s + 17. Let j = 78 - 43. What is the least common multiple of ((-60)/j)/((-2)/(-28)*-2) and s?
12
Let i be (1 - -2) + (-26007)/45. Let t = i - -573. What is the common denominator of (-9 - -3)*3*164/(-540) and t?
15
Let a = -2090 + 20969/10. Find the common denominator of a and 44/263.
2630
Suppose 0 = 3*x - i + 3, -2*x - 2*x - 5*i = -15. Suppose 15*o - 107 = 14*o - k, x = -o + 5*k + 125. What is the lowest common multiple of o and 60?
660
Suppose -n - 32*g + 36*g = -196, -5*g + 805 = 4*n. What is the lowest common multiple of n and 10?
200
Suppose 7*u = 9*u - 8. Suppose -2*g - 10 = -2*z - 2*z, u*g - 6 = -5*z. Find the common denominator of -64/21 and 348/(-108)*(g + 0).
63
Let a be ((-4)/(-5))/(6/15). Suppose 608 + 175 = 4*p - 3*f, -a*p = f - 399. Calculate the common denominator of -32/5 and (-123)/p - (1 + 0)/(-3).
330
Suppose 144 = p - 2*b, 4*b + 302 = -5*p + 1106. What is the lowest common multiple of 234 and p?
468
Let b = -49211599/504 - -97642. Calculate the common denominator of b and 133/396.
5544
Suppose -3*p + 8*p = 10. Find the common denominator of 1*9/2*301/43 and 4/(512/124)*p.
16
Let v be 2 - (0 - -1)/(36/(-7920)). Find the common denominator of -1*(366/(-20))/(-3) and (v/(-185))/((-14)/20).
70
Let a(p) = -p**2 + 9*p - 62. Let c be a(10). What is the common denominator of ((-2)/90)/(c/(-9060)) and -11/8?
216
Suppose -432 - 2088 = -105*d. Calculate the lowest common multiple of 648 and d.
648
Let s = 5793547/22158204 + 2/63673. What is the common denominator of -89/20 and s?
1740
Let l = 7313 + -12227. What is the common denominator of (-8 - 40884/l) + (-2)/18 and 87/2?
182
Suppose -271 - 389 = -2*h. Calculate the common denominator of 3597/h + (-14)/2 and ((-1)/8)/(2/154).
40
Let g = 49761741/5 + -154361096147/15510. Let u = 490/47 + g. What is the common denominator of u and 97/54?
594
Let x = -3664 + 29409/8. Let p be 7996/6*(-396)/560. Let u = p - -4753/5. What is the common denominator of x and u?
56
Let l(w) = -w**2 + w + 7. Let a be l(-3). Let u be 6 + 2 + a/5. Find the common denominator of 9 - 5 - u/10 and 37/3.
30
Suppose -121 = q - 2*q - k, 2*q - 234 = -4*k. Let f = -121057 + 121061. Calculate the smallest common multiple of f and q.
500
Suppose -29*o - 7 - 22 = 0. What is the least common multiple of 24 and (85 - (-6 - o))*(-6)/(-15)?
72
Let a = -47 - -60. Let y(j) = j**3 - 12*j**2 - 12*j + 35. Let p be y(a). Suppose 3*g = 7*g - p. What is the lowest common multiple of 48 and g?
48
Let w = -38698 + 1857437/48. Let h be 149116*(-1 + 45/36). Let t = -1341901/36 + h. What is the common denominator of t and w?
144
Let s = 43690/3 - 3844631/264. Calculate the common denominator of 31/792 and s.
792
Let x(y) = 6*y**3 - y**2 + 1. Let g = 2683 + -2650. What is the lowest common multiple of x(2) and g?
495
Calculate the common denominator of 1/416 and (-156)/7436*(-53)/(-3).
4576
Let n be 19/(-2)*-3*(178 + -180). What is the common denominator of (-400)/n + (2 - 10) and 55/51?
969
Let v(m) = m + 15. Let t = -34 - -46. Let h be (-8)/(-3)*(30/t + -4). What is the least common multiple of v(h) and 1?
11
Let i(h) = h**2 - 6*h + 2. Let z be i(6). Let x(o) = -o - 13 - 32 - z*o. What is the smallest common multiple of x(-17) and 16?
48
Let r = -21/442 - 1579/3978. Calculate the common denominator of -21/1133 and r.
10197
Suppose -5*q = 3*p - 7, 210*p = -2*q + 208*p + 2. What is the lowest common multiple of q and 608?
608
Suppose 4*l + 166 = -z + 3045, -5*l = 3*z - 3597. What is the least common multiple of 1440 and l?
1440
Let c(m) = m**2 - 23*m + 115. Suppose -12*v - 1 = -193. What is the lowest common multiple of c(v) and 10/(-2)*(0 - 2)?
30
Suppose 2*r + 5 = 77. Let c = 6882 + -6873. What is the least common multiple of r and c?
36
What is the common denominator of 58680/66960 - 10/8 and 75/4?
372
Suppose 24*l - 17*l - 7 = 0. Let t = 2 + -2. Suppose t = 2*p - l - 35. What is the least common multiple of p and 9?
18
Suppose 21*f - 3*k = 25*f - 7304, 2*k = -3*f + 5480. Calculate the smallest common multiple of f and 229.
1832
Suppose 7*o - 11*o = -1368. Let z = o + -1325/4. What is the common denominator of (7/27)/(2/6) and z?
36
Find the common denominator of (-865)/60 - (2/4 + (-6)/8) and -137/1938.
1938
Let r = 265 - 313. Find the common denominator of 292/576 + (r/27 - -2) and -107/36.
144
Let v = 41 - 37. Suppose 2*w + 5*y = -17, -3*y + 1 + 0 = 4*w. Calculate the smallest common multiple of v and 9/(9/w) - -7.
44
Let h = 498823263618/683 + -730339695. Let z = 1833 - h. Let n = z - 19957/17075. Find the common