2
What is the common denominator of 47/162 and 6/21 - (-20905)/41958?
162
Let g(b) = b**2 - 5*b + 10. Let n = 339 + -336. Suppose -y - 2 = -3*t + 2*t, 0 = 5*y - 3*t + 2. Calculate the smallest common multiple of g(n) and y.
4
Suppose -5*o - 51 = -4*c, 0 = 5*c + 5*o - 44 - 31. What is the smallest common multiple of c and 142?
994
Calculate the common denominator of ((-308)/6 - 4)/((-12512)/51) and -53/72.
3312
Suppose -9*g + 19 = -26. Suppose -2*p + x - 35 = -0*p, g*p = 2*x - 89. Let f = p + 28. What is the least common multiple of 9 and f?
9
Suppose 15*b - 14 = b. Calculate the least common multiple of (20/6)/(3/9) and (-7)/(-14)*(1 - (-2 - b)).
10
Suppose -46 = -2*k + 14. Let q(l) = 7*l + 157. Let y be q(-22). What is the lowest common multiple of y*((-24)/14)/(36/(-56)) and k?
120
Calculate the common denominator of -101/32 and (378515/49720 - 7) + -9*4/66.
3616
Let w = 2819/369 - 65/123. What is the common denominator of w and -107/20?
180
Suppose 4*f + 2*r = 22, -f - 4*f - 5*r = -35. Suppose -3*s + 33 = 3*c, -6 = c - f*s - 2. Calculate the lowest common multiple of c and 2/7 - 496/(-28).
72
Let g = -1343352209/1128 - -1190915. Find the common denominator of 131/282 and g.
1128
Calculate the common denominator of -61/6060 and 43521/165438 + (-918)/3978.
42420
Let a = -1245 + 1272. Suppose 20*v - 470 = -a*v. What is the lowest common multiple of ((-2)/6)/((-2)/42) and v?
70
What is the common denominator of (-1111)/66*(-9)/30 - 4 and -35/5706?
57060
Calculate the common denominator of (-96)/264*264/16*22/(-296) and -83/1036.
1036
Let q(i) = -i**2 - i - 2. Let f be q(-2). Let p be f + 1 - (4 - 2). Find the common denominator of (-749)/70 - (-1)/p and -43/5.
10
Let s = -285 + 383. Suppose 322 + s = 6*w. What is the lowest common multiple of w and 49?
490
Let q(u) = -u**3 + u**2 + 61*u - 18. What is the smallest common multiple of 112 and q(8)?
1232
Let k = 58006/78381 + 2/2903. Find the common denominator of -67/1392 and k.
12528
What is the common denominator of 1*(1 - 1) - 6903/5782 and ((-7)/(448/(-498)))/(24/16)?
784
Suppose 12 = 2*j + j. Suppose 2*t - 21 = -3*r, 0*r - j*r = 5*t - 63. Calculate the least common multiple of t and (-46 - (-8388)/180)/(4/(0 - -60)).
45
Let r be 4 - (12/12872)/((-3)/(-12868)). Let g = 136733/25744 + r. What is the common denominator of g and -97/152?
304
Calculate the common denominator of 88/50 - 0 - (-75 + 75) and -19/9585.
47925
Let p be 159/51 + 4/(-34). Let j be -5 + 4 + p + -4. What is the smallest common multiple of j*(-2)/5*(-10)/(-2) and 44?
44
Suppose -157 = -5*c - 2*p, c + p = 2*p + 37. Suppose 2*k + 4 + 26 = f, f - 5*k - c = 0. What is the lowest common multiple of f and 21?
84
Let c(n) = -n**2 + 20*n + 47. Let h be c(22). Suppose h*f - 5 = 10. What is the common denominator of 95/56 and (-5)/(-2)*(f - (-46)/(-8))?
56
What is the common denominator of (-90)/75 + (-1908)/960 and 181/840?
1680
Let g = 104 + -260/3. Find the common denominator of g and (-9776)/(-3360) - 2/(-5).
42
Suppose -5*a - 2*h = 10964 - 753, 2*a + 4080 = -3*h. What is the common denominator of -8 + (-5 - a/168) and 151/120?
840
Let f = 48 + -48. Calculate the lowest common multiple of f/(4/(0 - 4)) + 3 and ((-15)/(-2))/((-3)/(-2)).
15
Suppose -78*q = -88*q + 467 + 373. What is the smallest common multiple of q and 210?
420
Let s(b) = 2*b**2 - 11*b - 93. What is the smallest common multiple of 120 and s(15)?
960
Let v be 24/18 - (-6)/9. Suppose -v*m + 5*m = -i - 3, i - 25 = 4*m. Suppose -5*y + 0 = -15. Calculate the least common multiple of y and i.
9
Find the common denominator of -18/587 and 4 + (-485)/(-55) + -11.
6457
Let q = -27 - -9. Let n be (-2061714)/959688 - 4/q. Let i = n - -1/5924. What is the common denominator of i and 65/24?
216
Let i = 40604437/126 - 644515/2. Let j = -899926/81 - -11111. What is the common denominator of j and i?
567
Let v(u) = u**2 - 3*u. Let m be v(4). Suppose 5*l - 5*z + 53 = 218, -l + 39 = -m*z. Calculate the least common multiple of l and (-3)/(-6) + 10/4.
93
Calculate the least common multiple of 12/(-10)*(-8 - (2062 - -5)) and 1162.
17430
Let m(t) = -247*t + 115. What is the smallest common multiple of m(-5) and 18?
1350
Suppose -10*r = -3791 - 5749. What is the common denominator of 49/18 and (r/12)/((-24)/(-2))?
72
Let i be (-2)/(-1) + -1 + -42. Suppose -3*j + g = -368, -j + 595 = 4*j + 2*g. Let s = i + j. What is the least common multiple of s and 14?
560
Let p = -2 - -4. Let d be ((-12)/(-3) - 2)*(3 - 2). Suppose i - d = 8. What is the least common multiple of i and p?
10
Let x(y) = 609*y + 164. Let w be x(9). Let c = 27100/39 + 1157641/234. Let b = w - c. Calculate the common denominator of b and -71/6.
18
Let j(a) = a**3 + 16*a**2 + 54*a - 21. Let z be j(-15). Let s = z + 13323/22. Calculate the common denominator of 35/128 and s.
1408
Let y = -8803216/194661075 + 2/338541. Find the common denominator of y and 36/35.
4025
Suppose -3*h + 3*n = -3, -3*n + 17 = h + h. Calculate the lowest common multiple of 33 - 6*h/(-8) - 6 and (2/4)/((-2)/(-12)).
30
Let c be (-3)/((-1)/(-4) + 34/(-40)). Suppose 0 = -3*z + c*l - 77, -2 - 3 = -5*l. Let v = z + 26. What is the lowest common multiple of v and 34?
34
Let k = 2/8833 + -803835/141328. Find the common denominator of 91/2092 and k.
8368
What is the common denominator of 980/(-930) - (-70)/14*4/30 and 55/2?
62
Let t(j) = -45*j + 96 + 38*j + 31*j. Calculate the lowest common multiple of 2/(-6) + (-7)/(-3) and t(-3).
24
Let n = -92159/29412 - 9/1634. Find the common denominator of n and ((-2)/(-8)*370/15)/((-198)/27).
396
Let u = -93 + 126. What is the least common multiple of 3936 and u?
43296
Let b = -21196 - -5320222/251. Calculate the common denominator of b and 25/4.
1004
Let l be 0/(-23) + (-36 - -1). Let s = -58 - l. Let a = 27 + s. Calculate the smallest common multiple of 18 and a.
36
Let n be 17036/(-14) + (-712)/(-89). Let s be 3 + -2 - (-33994)/28. Let y = n + s. What is the common denominator of y and 29/8?
56
Suppose 4*x = -2*g - 152, 3*g = 2*x - 192 - 12. Let k = -50 - g. Suppose h = -3*w + 23, -3*h + 17 = h - 3*w. Calculate the smallest common multiple of h and k.
40
Suppose -36 = -b + 2*t, -153*t + 151*t = -2*b + 78. What is the least common multiple of 77 and b?
462
Let g = -992/13 + 58381/754. Calculate the common denominator of g and 37/84*(-6 + (-24)/(-6)).
1218
Let o = -15486629/120 - -129054. Calculate the common denominator of (-6026)/2530*(-5)/4 - 4 and o.
1320
Suppose -7*q + 134*q - 2710 = 29294. Calculate the lowest common multiple of 364 and q.
3276
Let a(z) = z + 8. Let u = -212 - -332. What is the smallest common multiple of u and a(22)?
120
Calculate the common denominator of 105/22 and 17976/5296 - (-70)/(-21).
21846
Let y be (4104/(-60))/((-4)/45). Let q = y + -720. Calculate the common denominator of -46/9 and q.
18
Let t = -198 - -62. Let q = 213 + t. Suppose -3*j - 29 = -q. Calculate the smallest common multiple of 6 and j.
48
Calculate the common denominator of 0 + (-2476)/624 + 3 and 2/(2442/(-583) - -4).
780
Let a be (-9 - -13)*(-1)/(-2). Let z be a - (0 - (2 + 1)). Suppose z*v + 5 = 45. Calculate the least common multiple of v and 4.
8
Let c = 2065/4 - 23745/46. Calculate the common denominator of (2/(-28))/((-2)/230) and c.
644
Find the common denominator of 10/3591 and ((-79)/10)/(65151/254).
17955
Suppose 2*q = -2*q - 20. What is the common denominator of 2/22*q/2 and 8/(-18) + 665/114?
198
Find the common denominator of 61/78 and (1 + (-286)/33)*(-3 + (-324)/(-104)).
78
Let a be (40/25)/4 - (-36)/10. Suppose u - a = 2*o, u - 5*o = -u + 8. What is the common denominator of 4 + (u - 91/24) and -53/6?
24
Calculate the common denominator of -97/32 and (35/26075)/((-8)/(-230)).
4768
Let p(b) = 2*b**3 + 43*b**2 - 182*b - 7. Calculate the least common multiple of p(5) and 510.
2040
Let x = -230 + 231. Let d(h) be the second derivative of 23*h**4/12 + h**3/6 - h**2 - h. What is the least common multiple of d(x) and 8?
88
What is the common denominator of 44/(-154) - 201/84*2 and (-310)/(-25) + (-42)/6?
70
Let j(h) = -h**3 + 5*h**2 + 9*h + 1. Calculate the least common multiple of j(3) and 828.
828
Suppose -41*s + 2659 = -10789. What is the least common multiple of 902 and s?
3608
Suppose -j - 2*b + 22 = 2