the common denominator of 18/29 and 5/r - 9/(45/10).
203
What is the common denominator of (-1004202)/258876 - 6/34 and (-1)/1 + 250/56?
252
Let f = -59/6438 + -154/111. Let m(b) = -77*b**2 + 9*b - 5. Let w be m(5). Let y = w - -15173/8. Calculate the common denominator of f and y.
232
Suppose -72 = -0*b + 6*b. Let j be (-26)/b + 1/(-6). Suppose 0 = 5*t - 5*g - 55, -3*t = -j*t - 4*g - 20. What is the least common multiple of t and 10?
40
Suppose -3 = -10*g + 11*g. Let m be (-108)/(-4) - (-9)/g. Suppose -7*o + 38 = -2*o - 2*h, 0 = 2*o - 3*h - m. Calculate the lowest common multiple of o and 6.
6
Suppose 4*c - 11 = 5*o + 8, -2*o = 4*c + 30. Calculate the common denominator of ((-6)/o)/((-12)/(-693)) and (-58)/(-10)*(-2)/3.
30
Let m = -908 - -1807/2. Let x = m + 61/6. What is the common denominator of x and (6/(-10))/(-1 + 2)?
15
Let h be (-5*(-742)/175)/(1/5). Suppose -h + 34 = -6*f. Suppose 3*q = g - 17, -4*q + 104 = 5*g - 0*q. What is the lowest common multiple of f and g?
60
Let d = -276053 + 15458897/56. What is the common denominator of d and 2/4*5/(-2)?
56
Let d = 4 - 7. Calculate the common denominator of (d - -1) + 1046/444 and -1049 + 1056 - (87/75)/(8/10).
2220
Let m = -9647 - -10178. What is the least common multiple of m and 826?
7434
Let k = 16/23 + -1033/1518. Calculate the common denominator of -2 + ((-2046)/288)/(-11) and k.
528
Let b = -241 + 290. Suppose -16 = -4*y, -4*s - y - 22 = -34. Calculate the least common multiple of s and b.
98
Let f = 554 + -800. What is the common denominator of (5/(-770))/(-1 - 249/f) and 23/210?
2310
Let g(w) = -13*w**3 - w - 2. Let q be g(-1). Suppose -q*c - 65470 - 75482 = 0. Calculate the common denominator of -61/74 and 4/9 + c/1764.
518
Let c = 85/1311 - -25598/137655. Calculate the common denominator of -62/63 and c.
315
Find the common denominator of 131/2214 and (-4 - (-61196)/17056) + 252/672.
57564
Suppose 465 = 5*d + 21*z - 16*z, 0 = 3*d + 5*z - 271. What is the smallest common multiple of d and 1358?
1358
Let w be (-9)/12 - (-75)/20. Suppose -9 = -w*h + 3*k + 6, -h - 10 = 4*k. Let t = -2 + 4. Calculate the lowest common multiple of t and h.
2
Suppose -30 = -t - 3*a, -44*t + 43*t - 4*a + 26 = 0. Calculate the smallest common multiple of 91 and t.
546
Let o(i) = -i**3 + 8*i**2 - 11*i - 4. Suppose 61*m = 57*m + 24. Calculate the least common multiple of o(m) and 6.
6
Let l(b) be the first derivative of b**4/2 - b + 20. Let g be l(1). What is the least common multiple of 1 and g + -1 + 21/3?
7
Suppose -14905 = -5*u + 4*f, 12*f = 5*u + 10*f - 14905. What is the least common multiple of u and 2981?
2981
Calculate the smallest common multiple of 4318 and 36/114 - (-6440)/1748.
8636
Suppose 0 = 4*w - 17*w - 26. Let t(z) = z**3 - 3*z**2 - 2*z. What is the lowest common multiple of t(5) and w + (-896)/(-152) + 2/19?
40
Suppose -7*f + 23951 + 83590 = 0. Let i = f + -230363/15. What is the common denominator of i and 53/60?
60
Let r = 30743/10 - 3078. Suppose -s = 9933 + 1332. Let v = -202673/18 - s. What is the common denominator of r and v?
90
Let k be (-3)/7 + (-683977096)/560. Let z = -1220194 - k. Let c = -1193 + z. Calculate the common denominator of 85/14 and c.
70
Let o = -15 - -17. Let s(m) = 7*m**3 + m**2 - 2*m - 4. Let q be s(o). Suppose 0 = 5*n - q - 18. What is the smallest common multiple of n and 18?
126
Let z(a) = -120*a + 66. Let y be z(-3). Let f = 442 - y. Let x = -13 + 23. What is the least common multiple of f and x?
80
Suppose 4*a = r - 12, 4*a = 2*r + 5 - 49. What is the least common multiple of r and 616?
2464
Let d = -5591 + 861039/154. What is the common denominator of d and 89/4844?
53284
Let z = 40224 + -38010. What is the least common multiple of 984 and z?
8856
Suppose -28 = -y - 6*y. Calculate the smallest common multiple of (-35)/5*(2 - y) and 24.
168
Let d = -1149 + 7007/6. What is the common denominator of d and 1654/468 - (-54)/(-18)?
234
Let h be (-1177)/(-3)*27/(-6). Suppose 18076 = 9*d + 2497. Let q = h + d. What is the common denominator of q and 5/8?
8
Let f = -1849019/156 + 11853. Let g = -79/42 - 114/7. Find the common denominator of f and g.
156
Suppose 267 = v + 5*c - 105, -4*c = 3*v - 1160. What is the lowest common multiple of 588 and v?
1176
Let o be (3 - 4)/(2/(-14)). Let u(d) = 71*d**2 + 1 + d**3 - 74*d**2 + 2 - o*d. What is the least common multiple of 11 and u(5)?
198
Let s = -4425763/440960 + -9/8320. Let i = 26767/2862 + s. What is the common denominator of i and -17/3?
54
Let i(n) = 948*n - 10430. What is the least common multiple of i(13) and 5?
9470
Let g be (-100)/30*(-3)/(-1). What is the common denominator of 4 + 3/g*(-1694)/(-168) and 7/30?
120
Let d = -4527221/6 - -24789641/42. Let n = d - -163560. Let m = -1491/2 - n. Calculate the common denominator of m and 65/12.
84
Let w = -27473/19976 - -3/9988. Find the common denominator of w and -3/39098.
156392
Suppose 5*b - 120 = 230*o - 235*o, 4*o = 5*b - 120. Calculate the least common multiple of 3330 and b.
13320
Let x(k) = -207*k + 1875. What is the lowest common multiple of 2072 and x(9)?
6216
Let d = 91 + -86. Suppose 0 = v - 4*g - 3, -1 = 2*v + g - 7. Suppose 0*q + 4*y = -q - 12, v*q + y - 19 = 0. Calculate the lowest common multiple of d and q.
40
Find the common denominator of -64/363 and (-7)/(1463/(-22)) + (-5785)/12540 + 1.
1452
Let g = 62 + -38. Suppose x + 2*x = -2*y + 31, 3*x - 71 = -4*y. Suppose -3*k + 120 = 4*c, 2*c - 5*k = y + 14. What is the lowest common multiple of c and g?
216
Suppose -7354 = -2*z + 5*b + 2575, 4*z - 5*b - 19853 = 0. Calculate the lowest common multiple of 16 and z.
39696
Let u = 229 - 264. What is the least common multiple of (-1895)/u + (-1)/7 and 6?
54
Let j(q) = 93*q**2 - q - 2. Let t be j(-1). Let d = -75 + t. Calculate the lowest common multiple of d and 2.
34
Let s = 12865/12 - 2121/2. Let w = -52912/19 - -457711/114. Let u = w + -1240. Calculate the common denominator of u and s.
12
Let i = -153 - -107. Let w = i + 66. Suppose -2*j + 2 = -w. What is the lowest common multiple of j and 11?
11
Find the common denominator of -35/1338 and (-7206)/(-892) + (9 - (19 - 2)).
1338
Let i(h) = 82*h + 4. Let o be i(-2). Let r = o + 256. Find the common denominator of (-1)/((-10)/r*3) and -145/6.
30
Let a = -7627 - -7781. What is the smallest common multiple of a and 91?
2002
Let q(a) = 2*a**2 - 60*a - 139. Let l(h) = -2*h**2 + 61*h + 141. Let k(j) = 3*l(j) + 4*q(j). Calculate the lowest common multiple of 86/6 + (-2)/6 and k(31).
154
Let s(f) = 5*f - 19. Let n be s(8). Find the common denominator of 1/21 and ((370/272)/(-5))/(n/28).
714
Let g = -4574893/9 - -508890. Let q = -568 + g. What is the common denominator of -9/5 and q?
45
Let f = -27273/20 + 1363. Find the common denominator of -33/277 and f.
5540
Suppose -17 = -5*d + 3*j, 4*d + 3*j = 7 + 12. Suppose d*l - a + 3*a - 60 = 0, 3*l - 2*a = 31. What is the least common multiple of 11 and l?
143
Let h = -19 + 25. Let c(z) = -z**3 + 7*z**2 - 5*z - 2. Let x be c(h). Calculate the smallest common multiple of 30 and (1*x/(-8))/((-1)/6).
30
Let c = -243742/244875 + 495/653. Calculate the common denominator of 2 - 0 - (-158)/20 and c.
750
What is the least common multiple of 126 and (-532)/(-108) + -5 - 12970/(-135)?
2016
Let d = 96076 - -67244. Let z = -38870101/238 + d. What is the common denominator of 47/22 and z?
2618
Let n(x) = -157*x + 1678. Calculate the least common multiple of n(10) and 9.
108
Let k = -865 - -467. Let o = k + 438. Calculate the smallest common multiple of o and 20.
40
Let u = -17898 + 19530. Calculate the least common multiple of 2856 and u.
11424
Let w(u) = 2*u**3 + 15*u**2 - 6*u - 14. Let f be w(-8). Let n = -133/4 - f. Let g = -7558 + 121001/16. Calculate the common denominator of n and g.
16
Suppose 5*t + 9*k - 4*k - 790 = 0, 5*t - 4*k = 835. Suppose 390*p = 410*p - 40. Calculate the smallest common multiple of p and t.
326
Suppose -d = -4*g + 12, -2*g + g + d = -6. Let x be (-1164)/(-630) - (g - (-5)/(-1)). Let q = x - 12/7. Calculate the common denominator of 107/18 and q.
90
Let p(l) be the first derivative of -l**4/4 + 10*l**3/3 - 5*l**2 + 11*l - 108. Calculate the least common multiple of 11 and p(7).
88
Let y = 23472/13115 - 51627833/2282010. Let t = 1/1247 + y. What is