2047/51 + -30039. Find the common denominator of a and q.
408
Let c = -131/133 - 4987/4389. Let l = -12177/302 - 108929665/6342. Let u = l - -17213. Find the common denominator of u and c.
231
Let k = -497 + 4029/8. Let o(n) = n**3 + n**2 + 10*n + 2. Let s be o(7). Let d = s + -1011/2. Find the common denominator of d and k.
8
Calculate the smallest common multiple of 847 and (-3*(3 - 80))/((-75)/(-250)).
8470
Let f = -53331203/240 + 222214. Calculate the common denominator of 149/54 and f.
2160
Suppose -12*v + 6 = -9*v. Let i(b) = -b**2 + 17*b - 32. Let o be i(14). Suppose v = h - o. Calculate the least common multiple of h and 16.
48
Let m = 47227/3804 + 1/634. Suppose -y - n = 4*y - 82, 2*n - 11 = -y. Find the common denominator of m and y/68 + (-10)/(-7) + 0.
84
Let c be (-3)/(-6) + (-75)/10. Let i(q) = -q**2 - 10*q - 25. Let s be i(c). Find the common denominator of (435/20)/((-38)/s) and -45/14.
266
Let l(r) = r**2 + 18*r - 45. Suppose -4*z - 48 = 4*b - b, -5*z = 0. Let v be l(b). What is the smallest common multiple of 3 and (6/(-4))/((v/(-126))/(-11))?
27
Let h = -1597749873621999789 + 20281836912875976065763/12694. Let l = h - 1348535588. Let k = 3/577 + l. What is the common denominator of 27/14 and k?
154
Suppose 5*g = 5*x + 5, 0 = -5*x + 2*g - 4*g + 9. Let m be x - (2 - (-2 + -2)). What is the least common multiple of (m/10)/((-2)/268) and 6?
402
Let i = -123/160 + -25/32. Find the common denominator of -103/12590 and i.
25180
Suppose -4*y - 140 = -4*d, y = -5*d + 3*y + 178. Let f be -1*(1088510/d)/(-5). Let h = -6041 + f. What is the common denominator of h and 68/9?
18
Suppose 3035 + 15943 = 61*x - 71546. What is the least common multiple of 14 and x?
1484
Calculate the common denominator of 59/224 and ((17/(-112))/17)/((-23)/(-58)).
5152
Suppose 0 = 37*o - 36*o - 5*v - 917, 2*o = v + 1879. Suppose 944*r - o*r = 8. Calculate the lowest common multiple of 15 and r.
60
Let s = -2472288206 - -37430443454597/15140. Let w = s + 7/757. Find the common denominator of w and -113/12.
60
Let o = 3324 - 3184. Calculate the lowest common multiple of 84 and o.
420
Suppose -38*t + 36*t = 4. Let r be t/(-1)*(11 + -3)/(-2). Calculate the common denominator of (r + 1)*3/6 - 3 and 145/36.
36
Let l = 70207815/61321 + -14884/13. Let d = l + -599029/141510. What is the common denominator of d and (147/60)/((-4)/10)?
120
Let d(a) be the second derivative of a**5/20 - a**4/2 + a**3/2 + 15*a**2/2 + 13*a. Let y be d(5). What is the smallest common multiple of 26 and -2 + 6 + 5 + y?
182
Let s(d) = 4 + 18 + 23 + d. Let v be s(-19). Let f = 48 - v. What is the least common multiple of f and 4?
44
Suppose -5*x + 3*t + 963 = 0, -4*x + 2*t = 4*t - 766. Calculate the lowest common multiple of x and 11/(-44) - 33*1/(-4).
192
Let i = 701 - 22381/32. Calculate the common denominator of i and 119/144.
288
Let v be (2 - -2)/(-4) - -5. Find the common denominator of (-2)/v*(13 + 0) and (-506)/115 + 3/(-30).
2
Calculate the common denominator of 19/32 and (4563/1832 + 150/(-60))*(1 + 9).
7328
Let y(r) = -r**3 - 2*r**2 + 4*r + 2. Let w(l) = -l - 14. Let k be w(-10). Calculate the smallest common multiple of (-29)/5 + 6 - (-708)/60 and y(k).
36
Suppose 5965 = 35*h - 3485. What is the lowest common multiple of h and 174?
7830
Suppose -s = -5*z + 3512, 3520 = -288*z + 293*z - 5*s. Calculate the least common multiple of 189 and z.
4914
Suppose 37*c - 28*c = 72. Find the common denominator of -11/40 and (-444)/c*(-8)/(-528).
440
Let q(i) = -i**3 - 18*i**2 + 6*i + 115. Let x be q(-18). Suppose 168 = x*y - 294. Calculate the lowest common multiple of y and 55.
330
Let z(c) be the second derivative of c**3/2 - 23*c**2 - 30*c. Let n be z(16). Calculate the common denominator of 12/5 and 1386/(-12)*n/(-48).
80
Let s be 2/(-3) + (-18)/(-27) - 252. What is the common denominator of -4 - (1 + s/40) and (-2*7/28)/(1/(-87))?
10
Find the common denominator of -7/2 and 1232044/(-136488) + (-2 - -11).
3102
Let p = 5727461/252 + -22728. Find the common denominator of p and -89/378.
756
Let o = 262 - 258. Suppose z + 4*z - 85 = -5*n, 9 = 3*n. Suppose o*s + 6 = z. What is the lowest common multiple of 51 and s?
102
Find the common denominator of 1 - (-3 - 98/(-420)) and 1 - (75/(-108))/(-5).
180
Let t(f) = f**2 - 10*f - 54. Let n be t(14). Suppose -2*h + 17 + 31 = 0. Find the common denominator of h and 264/(-27) - (-1 - n).
9
Let i = -792876 - -1021224341/1288. Find the common denominator of 49/18 and i.
11592
Let r(a) = 7*a - 4. Let v be r(1). Suppose v*y - 18 = -5*p, -2 = 3*y - 2*p + 1. What is the least common multiple of 20 and y/2*-10*-12?
60
Let g = 153/14 - 16/21. Let c = -666643/24 - -27777. What is the common denominator of c and g?
24
Let x(o) = -41*o**3 - 2*o**2 - 2*o + 4. Let n be x(2). Let s = 430 - 4321/10. Calculate the common denominator of (-36)/n*(-404)/6 and s.
70
Let s be 2/(-11) + 11035/(-110) + -3. Let i = -691/6 - s. What is the common denominator of 0 + 4/(-22) + (-526)/(-594) and i?
27
Let b be -2 - (-8)/(-3)*-3 - 3. What is the common denominator of -2 + -2 + (-91)/(-6) and (11/b + -1)*5?
6
Let f = -616 + 622. Suppose 2*c + 4*m + m = 14, -c + m = 0. Let q = c - -2. What is the smallest common multiple of q and f?
12
Let c(r) be the first derivative of r**4/4 + r**3/3 + r**2 + 2. Let g be c(2). Let o = g + 12. Calculate the lowest common multiple of o and 3.
84
Let d = -173/159 + 139/1378. What is the common denominator of d and -77/806?
2418
Let u = 994 - 953. What is the common denominator of (5824/1245)/(-13) - 4/(-10) and u?
249
Find the common denominator of 47/462 and -2 + 2094/1386 + 64/128.
462
Let y = 6643105/102 + -65127. Find the common denominator of y and -1/68.
204
Let m = -7 - -16. Suppose -1 - 1 = z. What is the smallest common multiple of m and 2700/105 - z*1/7?
234
Let l = -130 - -247. Suppose l = 18*n - 5*n. Calculate the least common multiple of 12 and n.
36
Let k be 37*-6 - 45/(-27)*3. Let d = -208 - k. Calculate the lowest common multiple of d and 381.
1143
Suppose -30*c + 20565 = -9075. What is the lowest common multiple of c and 20?
4940
Suppose u + 38*q - 16 = 42*q, -5*q = -5*u + 65. What is the lowest common multiple of 180 and u?
180
Let h be 20*4/16 + -2. Find the common denominator of 37/19 and (-174)/48 + 5 + h/(-2).
152
Let n(h) = -6*h**2 - 26*h. Calculate the smallest common multiple of 1314 and n(-3).
5256
Let t(j) = -j**3 - 5*j**2 - 6*j - 6. Let i(z) = 13*z**2 + 89*z - 12. What is the least common multiple of t(-4) and i(-7)?
2
Let b(r) = 77*r - 154. Let z be b(6). What is the least common multiple of 2/(-4)*(8 + z/(-7)) and 720?
720
Suppose -716 = 122*y - 301*y. Calculate the lowest common multiple of 98 and y.
196
Let z be 1/(-4) + (-1930)/(-8072). Let a be (-236546)/(-40360) + 10/(-50). Let j = a + z. Calculate the common denominator of 101/10 and j.
20
Let l be -4*(1 - 2) - 0. Suppose -4*q = -w - 133, l*q - w = 6*q - 71. Let i(a) = 16*a**2 + 291*a + 63. What is the lowest common multiple of i(-18) and q?
306
Let o = -83413/21 - -3976. Find the common denominator of 282/18 + -15 + -8 and o.
21
Let r be 3/((-198)/416) + 1. Let s be (-6 - 330/(-48))/(165/(-1860)). Let q = r + s. What is the common denominator of -52/3 and q?
6
Let k = -74 - -32. Let x = -37 - k. Calculate the smallest common multiple of 22 and (-6)/(-4) - x/(-2).
44
Let t = 12 + -19. Let n(m) = -7*m - 33. What is the lowest common multiple of 116 and n(t)?
464
Suppose 0 = 6*x - 4*x - p + 1468, -3*p = -2*x - 1460. Let y = x + 826. Calculate the lowest common multiple of 198 and y.
990
Let h = -136 - -144. Let d(a) = -a + 29. Let w = -30 + 48. What is the smallest common multiple of d(h) and w?
126
Let i = 10894 - 130769/12. What is the common denominator of -19/454 and i?
2724
Let m be (-9)/36 + 187/28. Let q = -95/14 + m. Let o = q + -71/14. Find the common denominator of o and 13/4.
28
Let u = -8132/12243 - 7806371/3093398. Let p = u + 8/379. What is the common denominator of 8 - (-2)/(-5)*(-4515)/(-112) and p?
24
Let l = 59 - 19. Let q = 42 - l. Suppose 0 = 2*w - q*s - 18, -2*w - 3*s + 57 = 2*w. Calculate the least common multiple of w and 8.
24
Let t(y) = -y**3 + 27*y**2 - 27*y + 33. Calculate the least common multiple of t(25) and 608.
608
Let c(u) = -u*