
Let a = -26 - -171. Let l = 310179 + -310144. What is the lowest common multiple of a and l?
1015
Let l = -4110441 + 32942497/8. Let a = l + -7361. What is the common denominator of (-3)/(-9)*(-121)/2 and a?
24
Let o(b) = -22*b - 96 - b**3 + 5*b + 111 - 18*b**2. Calculate the least common multiple of 6 and o(-17).
30
Let g(b) = 6*b - 29. Let h be g(12). Suppose -4*x = -w - h, 0 = 5*x - 10*x - w + 65. Let i = 21 + -1. Calculate the smallest common multiple of i and x.
60
Let h(n) = -44*n**2 + 18*n + 2. Let x be h(10). Let a = 33843/8 + x. Find the common denominator of -2 + 3/(27/92) and a.
72
Find the common denominator of 54/405 + (-746)/60 and (-1)/3 + 582/216.
180
What is the common denominator of -10/3509 and ((-1 - 27) + 1)/(1 + (-19)/57)?
7018
Suppose -186 = -5*h - n - n, 5*h + 3*n = 184. Let f = -18 + h. Let o = -286 + 290. Calculate the least common multiple of o and f.
20
Let k = 1255/76 + 9/38. Calculate the common denominator of (32568/(-1840))/(-1*(-6 - (-6)/2)) and k.
20
Let l = -533/7 + 62753/819. What is the common denominator of 25/126 and l?
1638
Let p be 155686/311364 + 57/(-114). Let m = -588125/544887 - p. What is the common denominator of -109/90 and m?
630
Let o be (-1262)/(-12) - (-8)/(-48). Suppose 2*b + o - 89 = 0. Calculate the common denominator of -43/9 and 1/b + (-229)/24.
9
Let v = -1796/3 + 316039/528. What is the common denominator of v and -35/864?
9504
Let d = -52 - -54. Suppose -3*r - d*s + 31 = 0, -r - 3*s = s - 27. What is the least common multiple of r and (3/9)/((-2)/(-18))?
21
Suppose 43*l = -5*d + 40*l + 172, 4*d - 4*l - 112 = 0. Calculate the smallest common multiple of d and 4.
32
Find the common denominator of 143/2070 and ((-1168)/288 + 4)/(8/(-318)).
8280
Let d be 2 + 0 + (9 - 12 - -3). Suppose a = -i + 14, -3*a + 4*i = d*i - 17. Calculate the lowest common multiple of 1 and a.
9
Suppose 2*h + 3*f = -8004, -8*h = -9*h - f - 4000. Find the common denominator of (h/(-16))/9 - 3 and 95/36.
36
Suppose i - 131 = -5*l - 3*i, 5*l = -5*i + 130. What is the least common multiple of l and 288?
864
Let y = -8450 - -59119/7. Let c = -6980/1573 - -25/121. What is the common denominator of y and c?
91
Let l = -1910275 - -511959999/268. Let x be (-2)/8 - 66/(-268). Let n = l + x. Find the common denominator of 27/11 and n.
22
Let o(w) = 5*w + 21. Let u be o(4). Suppose -5*b - 2*i = -u, b + 9 - 19 = -i. What is the least common multiple of b and 9?
63
Calculate the common denominator of 5/24 and 5 + 21*(-2861)/13185 + 4/(-10).
7032
Find the common denominator of 40/369 and (((-204)/255)/((-36)/170))/(-14).
2583
Let c(g) = -6*g - 3. Suppose 0*b - 42 = 14*b. Let n be c(b). Suppose -31 - 59 = -n*m. What is the lowest common multiple of m and 62?
186
Let b(s) = 4*s**2 - 31*s - 129. Let k(d) = -d**2. Let l(p) = -b(p) - 5*k(p). Calculate the lowest common multiple of l(-30) and 33.
99
Let u = -17/316 - 4739/29388. What is the common denominator of -68/387 and u?
11997
Suppose -11*a + 22*a - 6*a = 6220. Calculate the smallest common multiple of 2 and a.
1244
Let w(x) = -3*x + 17. Let b be w(6). Let o be 1581/(-261) + b/(-12)*4. Let u = o - -4883/696. What is the common denominator of u and -28/3?
24
Let g = 3/4874 + 23099/85295. Let n = 45675/8 + -228523/40. Find the common denominator of g and n.
70
Let m = -11000 - -77124/7. Let g = 1191/70 - m. What is the common denominator of 29/50 and g?
50
Suppose -7*d + 3 = -6*d. Let j be -2*(-2 + d) - (4 + 31). Let f = 57 + j. What is the lowest common multiple of f and 22?
220
Suppose 0 = -4*z - 4*o - 24, 2*o + 3*o = 0. What is the least common multiple of 44*(3 + -2 + 3/z) and 52?
572
Let p = -431155/27778 + -9535/1462. Let i = p - -398/17. What is the common denominator of i and 49/5?
95
Let x(d) = 4*d**2 - 5*d + 3. Let n(y) = -542*y + 7. Let f be n(1). Let k = f + 567. What is the smallest common multiple of k and x(3)?
96
Let t(k) = 2*k**3 + 39*k**2 + 19*k - 1. Let y be t(-19). Calculate the common denominator of 22/21 and y/(-54)*(-16863)/154.
252
Suppose -3*k + 3*u = -2*u + 773, -5*u = k + 271. Let f = -258 - k. Calculate the smallest common multiple of 14 and f.
42
Let l = -10249/22049 - -11851980693/1146548. Let y = l - 10336. Find the common denominator of -51/8 and y.
104
What is the least common multiple of 1260 and (462/8)/(246/(-1008) + 28/98)?
13860
Let c = 33578 - 28822. What is the least common multiple of c and 406?
33292
Let r = -78 - -75. Let m(t) = 2*t**2 + 6*t + 4. Let j be m(r). Suppose j*d + 6 + 30 = 2*z, 16 = z - 4*d. Calculate the smallest common multiple of 12 and z.
60
Let j be ((-33)/(-22))/((-1)/26). Suppose 2*u - 4*g = 30, 2*u + 0*g - 2 = -3*g. Calculate the smallest common multiple of u and ((-2)/(-5))/(j/(-2535)).
182
Let i(k) be the third derivative of -131*k**4/24 + 7*k**3/3 - 3*k**2. Let v be i(4). Calculate the common denominator of -3 + (-65)/v*21 and -87/4.
68
What is the lowest common multiple of 8 - (28 - 21) - -113*1 and 152?
456
Calculate the smallest common multiple of (40/60)/((-4)/(-144)) and 324.
648
Let m = -1834966/15 - -122279. Let r = -152/3 - m. Find the common denominator of -5/7 and r.
35
Let d be (-6)/4*9/81*-12. Suppose -d*l + 5*h + 4 = 0, 5*l + 5*h - 97 = -17. What is the smallest common multiple of l and (2 + -1)*21*1?
84
Suppose 2*o - 10*o = -16. Calculate the least common multiple of 80 and ((-25)/(o + 0 + -3))/1.
400
Let j = -2725/972 - -766/243. Calculate the common denominator of -151/2196 and j.
19764
Let v = -2892 - -40423/14. What is the common denominator of 39/664 and v?
4648
Let j be (-28736)/480 - (-6)/(-45). Suppose 5*a + 14 + 106 = 0. What is the lowest common multiple of 1*a/10*j/8 and 33?
198
Let m = -35944789/1512 - -190183/8. Calculate the common denominator of m and -49/72.
1512
Suppose -5*q + 2*q + 5 = 5*r, -2*r = -2. Suppose -k - 5*f + 2 = 17, q = -2*k - f + 6. What is the smallest common multiple of k and 83?
415
Suppose -60 = -2*o + o. Let k(b) = -8*b**2 - 62*b - 48. What is the smallest common multiple of k(-3) and o?
660
Let a be 120/(-16)*(-30)/(-9). Let h(v) = -v + 46. Let u be h(0). Let q = a + u. What is the common denominator of 99/4 and q?
4
Let t = -8713/4 + 2193. Let g = -886 - -877. What is the common denominator of t and 1111/(-66) - g - -11?
12
Suppose -l + 1640 = 5*g - 0*g, 5*l = -25. Let k = 332 - g. Calculate the common denominator of 32/51 and k.
51
Let c = 11440 + -1132624/99. Find the common denominator of c and 4/341.
3069
Let o be 54/10 + 12/(-30) - 446. Let l = -4841/11 - o. Find the common denominator of l and -62/77.
77
Let t be (-2 - 1) + 7/630*472371. Let r = t + -5247. Find the common denominator of r and (92/15)/(2/5).
30
Suppose 2*q = 5*q + 4*a - 9140, -4*a = 28. What is the lowest common multiple of 22 and q?
33616
Let u(b) = -b**2 - 13*b - 3. Let n be u(-5). Let v = 49 - n. Find the common denominator of 55/16 and v - 10 - 230/16.
16
Let c be ((-180)/8 + 1)*-2. Suppose 3*n = -13 + c. Calculate the least common multiple of 7 and n.
70
Let h = 5045 + -60629/12. Let t be ((-6)/(-9))/(10/(-225)). What is the common denominator of (-6)/(-8)*(-142)/t and h?
60
Let w(r) = -233*r + 1. Let g be w(-2). Suppose -167 = 3*c + 3*o - g, 5*c - 4*o - 464 = 0. Calculate the common denominator of -17/2 and c/18*(1 - 4/22).
22
Let n = -48 + 42. Let o be ((-2)/3)/((-4)/n) + 76. Suppose 0*u + 3*u + 3 = 0, 4*c - 3*u = o. Find the common denominator of c and -28/3.
3
Let j = -215 - -203. Find the common denominator of -2/15 and (j/(-6))/(-2) - (-458)/204.
510
Let t(j) = 5*j**2 - 18*j - 70. What is the least common multiple of t(-9) and 781?
5467
Let c = 3417545/171 - 19986. What is the common denominator of c and -53/399?
1197
Let a = -71023 - -40174. Let u = a + 2776369/90. Calculate the common denominator of 121/10 and u.
90
What is the common denominator of -10/569 and 14 + 13685/(-612) + (-10)/(-8)?
5121
Suppose -8*r = -281 - 71. Let m = -3108/19 + 164. Find the common denominator of m and 5 + ((-400)/r - -4).
209
Let u(q) = -q**3 + 5*q**2 + 14*q + 2. Let c be u(7). Suppose -c*z = -6 - 0. Suppose z*b - 40 = -10. What is the least common multiple of b and 6?
30
Calculate the common denominator of -5/44 and (283 - 165)*(-2)/48.
132
Let t = -96031 + 31620. Let n be 2/12 - t/(-6). Let y