What is the common denominator of j and 61/24?
24
Let l = 497 + -662. Find the common denominator of (-5)/15 + 418/l and -93/230.
690
Let k be 2/3*(-4583)/(-4). Suppose 22365 = 58*v - 39265 + 17086. Let f = v - k. Find the common denominator of f and -91/6.
6
Let r = -26107/646415 + 3/23506. What is the common denominator of r and 129/490?
5390
Calculate the common denominator of 67/8 and (-8)/(-6) - 2/12*(-859869)/(-107433).
31832
Let q(z) = 4*z**2 + 20*z - 344. Calculate the lowest common multiple of 4 and q(-14).
160
Let c = -322 - -356. Suppose c + 26 = 4*w. Calculate the least common multiple of w and 38/4 + 1/(-2).
45
Find the common denominator of 1 and 2*(1*(-14)/(-8))/((-15678)/39).
804
Suppose 0*s - 56 = -4*s. Let d(t) = -t + 19. What is the lowest common multiple of d(s) and (-132)/(-24) + -1*(-5)/2?
40
Suppose 4*v = u - 846 + 213, 0 = -4*v - 5*u - 627. Suppose p - 14 = -3*y, -3*p + 4*y + 14 = -2*p. What is the least common multiple of 16 and 7/p - v/4?
80
Let x = -238822579/2967352596 - 2/2113499. What is the common denominator of -155/2574 and x?
15444
What is the common denominator of (2/(-25))/(9000/472 - 19) and -9/115?
1150
Calculate the common denominator of (-1 - 184/136)*5/30 and -89/18.
306
Let w = 29207 - 28957. What is the smallest common multiple of w and 875?
1750
Let m = -13155 + 13347. What is the lowest common multiple of 12 and m?
192
Let i(a) = -8*a + 3. Let b be i(1). Find the common denominator of 267/90*b/(-2) and ((-5)/(-20))/((-2)/(-162)).
12
Let j(d) = 17*d**3 + 2*d - 1. Let b(u) = u**2 - 7*u + 21. Suppose -2*w + 17 - 9 = 0. What is the lowest common multiple of j(1) and b(w)?
18
What is the least common multiple of 284 and ((-39)/5 + -1)/(((-434)/70)/31)?
3124
Let r = 1625/566 + -521611/176309. What is the common denominator of r and (-3 - 270/(-80))*(-318)/27?
7476
Let r be (-37515)/(-37545) + 1*-1. Let y = 52571/10012 + r. What is the common denominator of y and (-154)/(-24) + 78/(-36) + 2?
4
Let s = 172128 + -4302416/25. Let d = s + -7583/300. Let t = -1403 - -4282/3. What is the common denominator of t and d?
12
Let f = 82944/161 + -3606/7. Let j = f - 19553/1932. Find the common denominator of 127/30 and j.
60
Let y(k) = k**3 + 11*k**2 + 54*k + 328. What is the lowest common multiple of 1500 and y(-9)?
1500
Suppose -18 = -3*u + 3*k, 4*u - 4*k = u + 21. Suppose u = -18*g + 15*g. What is the lowest common multiple of (6/18)/(g/(-18)) and 6?
6
Let p(q) = 2*q**3 - 32*q**2 + 11*q + 44. Calculate the least common multiple of p(16) and 264.
1320
Let a = 76/53 - -821/795. Let o = -836/5 + 165. What is the common denominator of o and a?
15
Let p = 28336 + -1558437/55. Find the common denominator of p and (-4743)/(-8160)*(-2 + -4 + 2).
440
Let i(g) = g**3 - 12*g**2 - 27*g - 12. Let k be i(14). Suppose 4*l + k*p = 44, -18*p + 20*p = -l + 14. Calculate the least common multiple of l and 14.
70
Let c be (-2)/(-6) - 5216/(-12). Find the common denominator of (-1479)/(-60) + 6/(-15) and c/1440 + 2/12.
32
Let p = 23266051/2130 - 54616/5. Calculate the common denominator of -113/30 and p.
2130
Let j = 14 + -15. Let f(i) = 4*i**2 + 3*i + 2. Let d be f(j). Suppose -5*o - 12 - 15 = -4*b, 21 = 3*b - d*o. Calculate the least common multiple of 28 and b.
56
Let b = 3/529 - 10601/3703. Let x = 1067 - 1004. Calculate the common denominator of (1 + (-69)/x)*-72 and b.
7
Let d(g) = -632*g - 4418. Suppose 9 + 5 = i. Calculate the lowest common multiple of d(-7) and i.
42
Suppose -5*q + 3*q = -2*g - 10, 5*q - 35 = -5*g. What is the common denominator of (35/(-7) + q)*47/(-150) and 151/66?
1650
Suppose -21*n + 19404 = 42*n. Calculate the lowest common multiple of n and 176.
1232
What is the common denominator of 4/((-224)/(-66))*63/162 and 65/126?
504
Let z = -5734 - -2486. Calculate the least common multiple of 8 and (3/(-2) + -1)*z/290.
56
Calculate the common denominator of -43/4284 and (-20)/(-30)*429/(-1188).
12852
Let z = 4345 + -1971. What is the least common multiple of 11 and z?
26114
Let u = -2792/7 + 5731/14. Find the common denominator of -77/4964 and u.
4964
Let u = 43805 - 5037958/115. Let k = -8/115 + u. What is the common denominator of k and -131/30?
30
Let b(g) = 3*g**2 + 3*g - 1. Let k(y) = 4*y**3 - 15*y**2 - 15*y + 5. Calculate the lowest common multiple of b(3) and k(5).
385
Find the common denominator of -95/14 and ((-20)/3400*-445)/(-391).
93058
Let k(q) = -5*q - 233 + 443 - 9*q - 236. Calculate the least common multiple of k(-4) and 160.
480
Let t be (-2)/(-33) + 0 + 3. Let n = -269/33 + t. Let i = 5032 + -125742/25. What is the common denominator of i and n?
275
Let i = 101552 + -55853493/550. Calculate the common denominator of i and 63/715.
7150
What is the least common multiple of (-67*1)/(19/(25 - 44)) and 335?
335
Let c = 27/43 - -3289/172. Let d = -1245036 - -138200516/111. Let p = 1/37 - d. Calculate the common denominator of p and c.
12
Let y be (-1 + -15)*(-24)/(-16). Let i be (-4)/(-3)*y/(-16). Calculate the common denominator of 41/6 and i*3/6 - 492/40.
30
Let o = 19558134/1063 - 18399. Calculate the common denominator of 42/5 and o.
5315
Let c(o) = -o**3 + 15*o**2 - 25*o + 83. Let b be c(15). Let a = 732 + b. What is the smallest common multiple of 8 and a?
440
Suppose -32*p - 256 = -36*p. Suppose 7*r + p - 260 = 0. What is the lowest common multiple of r and 292?
2044
Let d = -6855 - -7323. Calculate the smallest common multiple of d and 450.
11700
Let a = 150 - 141. What is the common denominator of (-370)/192 + 3/a and -61/24?
96
Suppose -x = -c + 5, -5*x + 0 = c + 1. Let k(g) = -128*g + 12. Let f be k(-1). Suppose -48*y + f = -41*y. Calculate the smallest common multiple of y and c.
20
Let s be (-147)/32 + 0 + 1/1. Let k = s - -2345/96. Calculate the common denominator of (-6 - -2) + (-11)/(-12) and k.
12
Let j(d) = -31*d + 268. Let n be j(9). Suppose 5*v - 65 = -3*c + 4*v, 0 = 2*c - 5*v - 15. Let b = n + c. What is the smallest common multiple of b and 22?
198
Suppose 0 = 2*z + 10 - 4. Let r be z*(-21)/(-864)*1606/5. Let h = -427/16 - r. What is the common denominator of h and -38?
15
Suppose -5*c + 85 = 5*y, -38 = -4*c + 2*y + 6. Suppose 5*x + 29*x - 374 = 0. Suppose 0 = x*u - c*u + 20. What is the lowest common multiple of u and 14?
70
Calculate the common denominator of 59/13800 and (3/22)/((-147)/(-4459)).
151800
Let m(i) = i**2 + 12*i + 37. Let v be m(-7). Calculate the least common multiple of (v*(-1)/4)/(5/(-30)) and 90.
90
Suppose 13290 = -9*b + 14055. What is the least common multiple of b and 153?
765
Let t = 6663/2 - 3288. What is the common denominator of t and 63/208?
208
Suppose -r = -3*i + 63 - 34, 0 = -3*i + 3*r + 39. Calculate the smallest common multiple of i and 140.
280
Let n = 49523/506175 - -2/9925. Calculate the common denominator of n and 8850/(-1575)*(-28)/(-96).
612
Let i = -144830 + 130781516/903. Find the common denominator of -155/42 and i.
1806
Let y(q) = 15*q + 54. Let o be y(-7). Calculate the least common multiple of 75 and (-50 - o)/((-2)/(-80)).
600
Let u = 660 - 702. Find the common denominator of ((-438)/u + -9)/(-2) and 61/625.
4375
Let d = -2071529/89418 - -2/14903. Let k be (85/4 + 2)/((-13)/780). Let i = 15308/11 + k. Calculate the common denominator of i and d.
66
Suppose -4 = -4*a + 4. Suppose -a*r = -9 + 181. What is the smallest common multiple of r*((-2)/(-2))/(-10 - -9) and 4?
172
Let g = -184 + 181. Find the common denominator of 50/11 and g + 2 + (-1)/55.
55
Let y = 32297/8 - 4045. Let z be (-3570291)/(-78)*10/(-30). Let n = 15261 + z. Find the common denominator of n and y.
104
Let l = -4505705/18 - -250156. Let v(p) = 5*p**2 + 7*p + 1. Let s be v(5). Let j = s + l. What is the common denominator of 62/3 and j?
18
Let y(n) = -30*n - 21*n - 2*n**2 + 0*n**2 + 48*n - 6. Let k be y(-2). Calculate the common denominator of (50/245)/((-2)/k) and 2/7.
49
Suppose m - 3*m = -4*d + 162, 0 = -2*d + 2. Let l(c) = -c**2 + 20*c - 23. Let s be l(22). Let t = s - m. What is the least common multiple of 27 and t?
108
Suppose 2*p - 100 - 12 = 0. Let q(l) = 2*l**2 + 42*l + 128. Calculate the least common multiple of p/3 + (-4)/6 and q(-18).
180
Calculate the common denominator of ((-143)/198 - -7)/7 and -25/126.
126
Let d(y) = y**2 + 8*y - 21. Let p = -16