95/456. What is the common denominator of l and 113/684?
1368
Find the common denominator of (-406)/(-55860)*-141 + (-6)/(-10) and 53/10.
1330
Let u = 587 - 494. Calculate the smallest common multiple of u and 44.
4092
Let t(k) = -20*k + 8. Let d be t(-5). Let f = -581 + 677. Let l = d - f. What is the least common multiple of l and 32?
96
Suppose 17 = -5*l - 3*d + 7*d, 0 = -2*l + d - 8. Find the common denominator of -149/6 and (141/(-15))/((-14)/l).
42
Let b = 30397/3090 + -2/515. Let f = -4/36393 + -578199/412454. Find the common denominator of f and b.
102
Suppose 5*l = 4*g + 426, -4*g = 5*l - 346 - 48. Let m = l - 77. Suppose 0 = -3*v - 2*c + 40, 3*c - m = 10. What is the smallest common multiple of 9 and v?
90
Suppose -30*u + 273 + 2068 = -5099. Calculate the lowest common multiple of u and 16.
496
Let d = -112877 - -168863999/1496. Calculate the common denominator of 47/9 and d.
13464
Let j(g) = g**3 - 22*g**2 + 27*g - 16. Let a be j(21). Suppose 0 = -2*p - 9*p + a. What is the lowest common multiple of p and 5?
10
Suppose -5*k + 2*z = -3*z + 100, -5*k - 5*z - 140 = 0. Let d = 20 + k. What is the common denominator of ((5/d)/(-5))/(4/(-66)) and -41/10?
40
Let y = 262 - 72. Let f = 144 - 388/3. Calculate the common denominator of f and y/3477*66/5.
183
Let c = 637 + -17203/27. Let p = c - 0. Calculate the common denominator of p and -13/135.
135
Let h be 2/9 - 11/(594/(-636)). Calculate the common denominator of -75/4 and (6/h - 0)*-13.
4
Let m(q) = 50*q**2 + 216*q + 34. What is the smallest common multiple of 2140 and m(-9)?
2140
Suppose 30*y - 7*y - 12305 = 0. Let p = -509 + y. Calculate the lowest common multiple of 18 and p.
234
Let l = 180 - 618. Let b = -430 - l. Calculate the lowest common multiple of 4 and b.
8
Suppose 0 = 5*u + 1483 + 1357. Calculate the common denominator of (213/u)/(78/(-712)) and -13/10.
130
Suppose 3*o = -4*m + 1133, 5*m + 4*o = 3*m + 564. Let g = -278 + m. Calculate the least common multiple of g and 80.
240
Let q = -167733541/97524 + 73956/43. What is the common denominator of -53/84 and q?
2268
Suppose 5*z - z - y - 376 = 0, 2*y = -5*z + 457. Let w = z - 153. Calculate the common denominator of -1/10 and ((-88)/110)/(11/w).
110
Let j be (2/2)/((-10)/(-30)). Suppose 2*x + 3*s - 153 = -2*x, j*x - 101 = -5*s. Calculate the smallest common multiple of 15 and x.
210
Let a be 1 + -2 + (2 - 1). Let z(r) = r**3 + r**2 + 9. Calculate the least common multiple of 6 + -1 - (-1068 - -4)/38 and z(a).
99
Suppose 2*n - 428 = -4*b, -2*n - 3*b = -166 - 263. What is the smallest common multiple of 153 and n?
3672
Find the common denominator of 93/22 and (-7)/3143*(((-855)/2)/(-9) - -1).
9878
Let i = -1709252723/44 - -38843260. Let n = -3393 - i. What is the common denominator of n and -99/4?
44
Let r be 3/(3/1) + 25/5. Let u = -8249/24 + 346. What is the common denominator of (-712)/240 - r/(-10) and u?
120
Find the common denominator of 16/22 - (2 - 10/4) and -51/92.
1012
What is the common denominator of 125/(-4) + (-1)/(-4) and ((-1184)/1110 - 2/(-3)) + 194/(-790)?
79
Let n be 2/((1/(-33))/(5/(-15))). Let c(a) = -a**2 + 24*a - 54. Let s be c(n). Find the common denominator of 47/39 and (((-128)/s)/2)/((-2448)/(-600)).
663
Suppose -3*v = 49165 + 1922. Let r = 612953/36 + v. Find the common denominator of -5/44 and r.
396
Let d = 1194284 - 2131796836/1785. Calculate the common denominator of d and 91/6.
3570
Suppose -b + 1622 = -3861. Let s = -107647820/9 + 17231546693/1440. Let w = s - b. Calculate the common denominator of w and -27/10.
160
Let j be ((-38)/(-4))/((-11)/1188). Calculate the common denominator of 1 - -4 - (-4921)/j and 29/30.
270
Let g = 248910 + -1493441/6. Let t = -1548 + 10806/7. Calculate the common denominator of t and g.
42
Suppose 4*i - 15 - 26 = p, 3*i - 3*p = 33. Suppose -2*g + i = 3*g. What is the least common multiple of -9*(9 - 10) - 2/(-2) and g?
10
Let f = 181 + -279. Let c be (f/147)/(-1 - (-2)/3). Suppose -c*n - 6 = 2*a - 50, 4*a + n - 103 = 0. What is the least common multiple of a and 4?
108
Let h = 2/1577 - -102501/3154. Let s = -3/98 + 1013/1078. What is the common denominator of s and h?
22
Let g be 1 - 244/5 - (-10 - -8). Let n = -45 - g. What is the common denominator of 1 + 0 + 45/33 and n?
55
Let r(b) = b**3 + 38*b**2 + 37*b + 64. Let w be r(-37). Suppose 0 = 24*f - 8*f - w. What is the lowest common multiple of 23 and f?
92
What is the least common multiple of (5/4)/((-4)/(-16)) and ((-78)/9)/(8918/(-2058))?
10
Let g = -1103437854/25 - -44130717. Let f = 9229 - 16025. Let k = f - g. Calculate the common denominator of k and 101/8.
200
Suppose 6 = -6*b + 3*b. Let z be (b - -1)*5 - 0. Let i(f) = f**2 + 4*f + 7. What is the smallest common multiple of i(z) and 10?
60
Let x = 29068 - 29032. What is the least common multiple of 294 and x?
1764
Let f = -2/2237 - 176711/13422. Calculate the common denominator of f and 106/(-70)*20/8.
42
Calculate the common denominator of ((-78)/(-2691)*46)/((-40)/(-306)) and (-121)/28 - 2/(-7).
140
Let b(m) = -m + 5. Let i be b(1). Suppose -j + 6 = i*r, 4*j + 2*r = -2*r + 36. Calculate the smallest common multiple of 302 and j.
1510
What is the lowest common multiple of (210/45 - -6)/(((-4)/(-6))/1) and 1934?
15472
Suppose 2*x + 5*n - 230 = 0, 5*x - 369 - 206 = -2*n. Let s = 35 - x. Calculate the common denominator of -131/6 and (2/s*-2)/(19/(-2223)).
60
Calculate the common denominator of -7/1364 and (-551364)/14880 + 31 + (5 - -1).
13640
What is the least common multiple of (12543/222)/((-1)/(-38)) and 1243?
23617
Let z be ((-96099645)/108911 - 0) + 1*2. Let x = -49/9901 - z. Let s = 1765/2 - x. What is the common denominator of -77/8 and s?
88
Let r be (2 - 2/(-6))*24/(-4). Let x be -1 - (1/(-1))/((-2)/r). Calculate the common denominator of -89/20 and ((-4875)/x)/5*2/80.
80
Let d = 3342 + -3331. Calculate the lowest common multiple of 375 and d.
4125
Let y be (2 + 441/3)*-1*1. Calculate the common denominator of 2/4*399/14 and y/(-16) + -4 + (2 - 2).
16
Let l = -1689 - -1066. Let m = -588 - l. Calculate the lowest common multiple of m and 25.
175
Let b = 96 + -61. Suppose 42*t = b*t + 21. Suppose 3*u = 2*r - 40, t*r - u - 20 - 40 = 0. What is the smallest common multiple of r and 38?
380
Let p = 222 - 222. Suppose p = -11*u + 2*u + 72. What is the least common multiple of 20 and u?
40
Suppose 0 = -v + 3*n + 22, -4*v + 10*n - 7*n = -61. Let z(g) = 2*g**2 - 9*g - 47. Calculate the smallest common multiple of 11 and z(v).
1914
Suppose 54 = -4*p + 31*p. Suppose -2*l = p*b - 26, 0*b + 3*l = -b + 15. What is the least common multiple of 144 and b?
144
Let h be (4 - 4)*(7 - -2 - 8). Let r be 6 + (-1 - -1 - -1). Suppose -4*a + 4*u + 28 = 0, 4*a - r = -h*u - 3*u. Calculate the lowest common multiple of a and 9.
36
Let a = 12423 + -372517/30. What is the common denominator of a and (204/40 + 4)/2?
60
Let d(q) = -35*q - 7. Let g be d(-2). Let a = -33 + g. Let r = -16 + a. What is the smallest common multiple of r and 4?
28
Suppose -7*r - 336 = -4*d - 11*r, 2*d = r + 177. Suppose -11*k = -89 - d. What is the lowest common multiple of k and 10?
80
Let k(s) = -2*s**2 + 3*s + 3. Let p be k(3). Let i = 3781 + -3813. Find the common denominator of (25/p)/((i/(-10))/(-4)) and -47/8.
24
Suppose 1451 = 71*q + 150*q - 1643. What is the least common multiple of q and 4050?
28350
Let r(v) = v**2 - v + 8. Let o = -39 - -39. Let w be r(o). Find the common denominator of 14/20*w - -5 and -45.
5
Let i be (-363)/(-33)*(-6 + 1). Let s = i + 63. What is the smallest common multiple of 44 and s?
88
Suppose 3*r - 4*a = -2*r + 60, 0 = -2*r - 3*a + 24. Let o be 1142/(-13) - r/78. Let i = o + 94. What is the smallest common multiple of 12 and i?
12
Suppose -12251 = 31*m - 26696 - 26475. What is the smallest common multiple of 45 and m?
3960
Suppose -c - 2*u = -2, -u + 0 - 2 = -c. Let x = 8 - c. Suppose -x*h + 120 = -0*h. Calculate the lowest common multiple of h and 12.
60
Suppose 0 = -3*h - r + 436, -12*h - 3*r + 438 = -9*h. Let y = -135 + h. Calculate the smallest common multiple of 132 and y.
660
Find the common denominator of (4/(-18))/((-10)/3) and 67 - 62 - (6993/585 + -8).
195
Let z = 1055128 + -2649426461/2511. What is the common denominator of z and 59/8?
20088
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