 -178465963/396 - -450672. Calculate the common denominator of -65/144 and a.
1584
Let w = -121 + 63. Suppose -178 = -3*l + 5. Let m = w + l. What is the least common multiple of m and 8?
24
What is the common denominator of 5/30*-1*(4 - 3048/980) and 71/70?
1470
Suppose 26*s + 196 = 30*s. What is the least common multiple of 2/(-14) - ((-644)/s - -3) and 29?
290
Let m = 337/10 - -4/5. Find the common denominator of m and (-183)/(-12) - 3/1.
4
Let q(l) = -23*l + 15. Let g be q(3). Let w(b) = -b**2 + b + 4. Calculate the least common multiple of w(0) and (-30)/(g/12 - -3).
20
Suppose 0 = 60*j + 157*j - 13671. Calculate the smallest common multiple of 21 and j.
63
Let o = 55/513 + -140339/1007532. What is the common denominator of -43/20 and o?
9820
Let y = -4601 + 18499/4. Let b be (-1)/4 - 39/(-12)*-89. Let r = b - -298. Find the common denominator of y and r.
4
Let q = 16 + -18. Let w be (-7004)/((-4)/q)*(-14)/(-210). Let p = -716/3 - w. Calculate the common denominator of -14/61 and p.
305
Suppose 4*r + 4145 = 5105. What is the least common multiple of r and 384?
1920
Find the common denominator of 6 + 0 + (1 + -245)*38/1596 and 149/84.
84
Suppose 4*l + 41 = f, 0*l - l = -2. Suppose 0 = -2*t + 5*x - 12 + 40, 0 = -5*t + 2*x + f. Calculate the least common multiple of t and 45.
45
Let v(y) = y**3 - 16*y - 27. Let c be v(-2). Calculate the lowest common multiple of (-4214)/(-258) - (-1)/c and 114.
912
Let l = -1525 + 4615/3. Let p(n) = 3*n**3 - 2*n**2 - 3*n + 2. Let s be p(2). Find the common denominator of 0 + ((-71)/s - 4) and l.
12
Let t = -294 + -569. Let p = -765 - t. Calculate the lowest common multiple of 70 and p.
490
Suppose 5*v - 5*h - 10 = 0, 6*v - 3*v + 3*h - 6 = 0. Let a be -3165 + ((-4)/6 - v/(-3)). Let n = 25379/8 + a. Calculate the common denominator of n and -93/10.
40
Let d = -84222 + 6400765/76. Calculate the common denominator of -73/4 and d.
76
Let y = 137 - 125. Suppose -8*f - 112 = -y*f. What is the least common multiple of 8 and f?
56
Calculate the smallest common multiple of 20 and (-276)/(-207)*(-3)/4 - -21.
20
Let p(k) = -k**3 - k**2 - 2*k - 28. Let m be p(0). Let s = 30 + m. Find the common denominator of 1/(-6)*s - (-26)/48 and 71/6.
24
Let r = -59578683/770 - -77375. Calculate the common denominator of r and 67/110.
770
Suppose 12*n - 176 = n. Suppose 0 = z + 2*j - n, 19*z + 25 = 20*z + 5*j. Let l = -4 - -14. What is the least common multiple of z and l?
10
Let g = 4561 - 4549. What is the smallest common multiple of g and 240?
240
Let v be ((-3)/3)/(-3 + 8/4). Calculate the common denominator of (388/12)/(4/6) and (v*4/(-96))/1.
24
Suppose -6540 = -33*a - 3*a + 7500. Calculate the least common multiple of a and 30.
390
Suppose -2*s = -2*u - 0*s - 11257988, -u = -2*s + 5628992. Let p = -44973543/8 - u. Let k = p + -7315. Calculate the common denominator of -19/44 and k.
88
Suppose -31 = -3*h - f - 12, 0 = 3*h - 3*f - 27. Suppose -8*j = j + 9. Calculate the least common multiple of h and 0 - (-4 + 0) - (j - -3).
14
Let p(k) be the first derivative of k**3/3 + 4*k**2 + 9*k - 108. Calculate the lowest common multiple of 14 and p(-11).
42
Suppose 10*v = 6*v + 160. Suppose 5*n - v = -5*u, 3*u - n - 1 - 11 = 0. What is the lowest common multiple of u and -32*((-15)/(-10) - 2)?
80
Let x = 5040 + -5016. What is the smallest common multiple of x and 644?
3864
Calculate the least common multiple of 1008 and 51 - ((-12)/(-1))/((-56)/(-42)).
1008
Let x(l) = 30*l + 6. Let v be x(5). Let a = 4617/248 - 155/8. Find the common denominator of 587/v - (-8)/52 and a.
372
Let h = 525 - 526. What is the common denominator of -101/4 and 5/h*1*551/4466?
308
Let d be (-6)/(-15) - (-1048)/(-3620). Let r = d - 10095/1267. Calculate the common denominator of r and 139/6.
42
Let a(l) = -19*l + 354. Suppose 0*v = 3*v - 6. What is the lowest common multiple of v and a(14)?
88
Let c(b) = -729*b**3 - 3*b**2 - 28*b - 26. What is the lowest common multiple of c(-1) and 416?
2912
Let g = 393/65 + -50/13. What is the common denominator of (25 - 1408/48)/(1/3*-11) and g?
55
Let z(c) = c**3 - 16*c**2 - 6*c - 11. Let m be z(17). Calculate the smallest common multiple of 622 and m/22*-1*9/(-6).
3732
Let b = 2/253859 - 14470627/84281188. What is the common denominator of b and 25/36?
2988
Let y = -2047/30 - -133/2. Let z = 109987/100310 - -46/1433. What is the common denominator of y and z?
210
Let b(t) = 2*t**2 - 22*t + 24. Let c be b(10). Let u be ((-3042)/c)/13*(-8)/(-3). What is the least common multiple of (-2)/(-3) - u/9 and 12?
36
Let f(z) = -z - 4. Let n be f(-5). Let r be n - 28*3/((-36)/51). Suppose -4*p - 2*p = -r. Calculate the smallest common multiple of p and 3.
60
Suppose 3*s = 1146 + 729. Suppose s = 2*x + 3*x - 4*r, 15 = 3*r. Let o = -69 + x. What is the smallest common multiple of 18 and o?
180
Let r(k) = k**2 - 9*k + 19. Let v be r(4). What is the common denominator of 1047/30 - 4/10 and 427/(-21) - v/2?
6
Let j = -68 + 113. Let q be (-3)/((j/(-2))/(-5) - 3). Calculate the least common multiple of 4/8 - (0 + 7/q) and 20.
20
Suppose -l + 0*l = b - 24, 0 = 3*b - 12. Let u be (1/7*0)/(0 + -2). Let q(p) = 11*p + 7. Calculate the least common multiple of l and q(u).
140
Let l = -7147 + 8610. What is the smallest common multiple of 931 and l?
10241
Let w = 188/21 - 347/84. Let s = w + -202/35. Let d = 1987/912 + 1/114. What is the common denominator of d and s?
80
Suppose -30*t + 8*t + 5940 = 0. What is the common denominator of 2/(-5) + ((-1968)/t - -8) and 2/7?
315
Suppose -39*o = 144 - 183. What is the least common multiple of o and 50?
50
Let f = -46 - -48. Suppose -4*p = 5*z - 1038, f*z + 0*z - p - 423 = 0. Suppose 6*t - z = -t. What is the least common multiple of t and 9?
90
Let z = 1/68 - -3169/1836. Let q be ((-9)/6)/((3/4)/1). Calculate the common denominator of z and ((-94)/(-6))/((-20)/q).
270
Calculate the common denominator of 19/885 and (-60030)/(-53100) + (-1)/2*2.
1770
Suppose -3*l - 34 = -16. Let n be (l/5)/((-2)/1030) + -3. Find the common denominator of -93/26 and n/18*(-24)/80.
52
Let s = 90679763294881/16524612 + -367666391/67. Let c = -11/2108 + s. What is the common denominator of 17/21 and c?
819
Find the common denominator of -11 - -18 - (4 + 1 + (-31454)/(-15738)) and -22/15.
39345
Suppose 4 - 10 = -3*v. Suppose 5*i = -2*t + 2, -4*t + v*i = t - 5. Let c(x) = x**2 - 4*x - 2. Calculate the least common multiple of t and c(5).
3
Let k = -22893 - -25683. What is the least common multiple of 45 and k?
2790
Let h = -106 - -112. Calculate the least common multiple of 4 and 146/h - 3/9.
24
Let w(f) = -1 + 4*f - 10*f - f - 3. Calculate the lowest common multiple of 12 and w(-4).
24
Suppose 2*w + 7*y - 8*y = 25, 2*w = 5*y + 5. Suppose 0 = -6*n + 39 - w. Calculate the least common multiple of 18 and n.
36
Find the common denominator of (54/459)/((-32)/67) and -5/442.
3536
Let s = -422 + 408. What is the least common multiple of 7/(s/(-3)) + 1060/8 and 1?
134
Let y(d) = -d**2 - 10*d - 17. Let s be y(-8). Calculate the common denominator of 1 - ((-24)/(-99) - 1) and (-435)/270*(s - 2).
66
Suppose -3*i = k - 33, -2*i + 9 = -k + 6*k. Let m(t) = -2*t**3 - 5*t**2 + 22*t + 100. Calculate the smallest common multiple of m(-4) and i.
60
Let l = -1217 + 40168/33. Let c = -343 + 349. Find the common denominator of l and 8 + ((-28)/c - 35/(-7)).
33
Let t be 5 - (2*2307/(-6))/1. Let r = t - 722. What is the smallest common multiple of 24 and r?
312
Calculate the least common multiple of 270 and (-4740)/(-30) - 88/(-4).
540
Let h = 5405 + 1300. Calculate the least common multiple of 24 and h.
53640
Let z be 2/(-266)*69651/2. Let t = 1839/7 + z. Calculate the common denominator of t and 175266/(-77040) + ((-6)/16)/(-1).
190
Let g = -2826 - -3042. Calculate the least common multiple of g and 6.
216
Let s = 2575/7 - 366. Let t = 583/14 + s. Let k = -186/203 - 494/8323. Find the common denominator of t and k.
82
Let d = -11 + -37. Find the common denominator of -89/46 and ((-139)/(-12))/(-1) - 64/d.
92
Let y = 169 + -22. Let k be y/28*(-24)/(-9). Suppose 5*a - g - 60 = -k, -3*a = g - 34. Calculate the smallest common multiple of a and 28.
140
Let j be (-2926)/40 - (-2)/8. Let m = -192/5 - j. Let u = 2332728/23 - 101421. Find the common den