t d be (-114)/27 - 14/(-63). What is the lowest common multiple of 15 and ((-9)/(-12))/((-1)/d)?
15
Suppose -2*w - 3*s = -19, -3*s = 3*w - 0*s - 27. What is the least common multiple of 568 and w?
568
Find the common denominator of 37/20 and ((-89)/(-1602))/((-23)/133).
4140
Let b = 137 - 261/2. Let u = 29959/982 + -4/491. What is the common denominator of u and b?
2
Let q = 235540601/978 - 240839. What is the common denominator of q and 127/18?
2934
Suppose 0 = 3*j - a - 18, -4*j + 4*a - 10 = -34. Suppose i = -i + j. Calculate the common denominator of -70/3 and 33*-1*i/(-8).
24
Let u(k) = 3*k - 33. What is the smallest common multiple of u(32) and 33?
693
Let f = -294139259/586 - -501944. What is the common denominator of f and -89/14?
4102
Suppose -6 = 3*a - 3. What is the least common multiple of 8 and 10 + (0 + a - -2)?
88
Let s = -20 + 20. Suppose s = 5*z - 3*r + 86, 54 = -3*z + 2*r + r. Let b = 27 + z. What is the least common multiple of 1 and b?
11
Calculate the common denominator of -55/12 and (182/300 - 3) + (-3 - -6).
300
Suppose -166 = -4*i - 34. What is the common denominator of (-113)/i*1*3/12 and 67/20?
660
Let a = -2 - -6. Let m(i) = -i**2 + i + 3. Calculate the common denominator of m(a) and ((-1598)/(-1551))/(1/(-3)).
11
Suppose -4*o - 1974 = -o. Let n = -392 - o. Find the common denominator of (n/8)/(21/(-14)) and -83/8.
24
Let c(w) = w**3 - 27*w**2 + 25*w + 39. What is the smallest common multiple of 10 and c(26)?
130
Let q = -1186 - -809. Let k = 1109/3 + q. Let j = 260 + -773/3. Calculate the common denominator of k and j.
3
Let g(n) = -2*n**3 + n**2 + n + 2. Calculate the least common multiple of (-120)/(-100)*(104/6 + 1) and g(-2).
220
Suppose 4*s - 3071 = 3*h, -5*h + 28 = s - 757. Calculate the common denominator of -2*7/(-6)*s/98 and 25/9.
9
Suppose -8*h = 22*h - 600. What is the smallest common multiple of 558 and h?
5580
Let b = -1087/952 + 2/119. Find the common denominator of b and -37/15.
120
Suppose 5*r + 5*v = 4*r + 15, -5*v = 3*r - 25. Suppose 113 = r*p + 13. What is the least common multiple of p and 20?
20
Let x = -18660342/215 + 86792. Calculate the common denominator of -39/344 and x.
1720
Suppose -4*q + 138 = 4*o - 3*o, -454 = -3*o - 2*q. What is the lowest common multiple of o and 14?
154
Let v = -45 + 59. Suppose 42 = 2*r - 5*l - v, -r = -4*l - 34. What is the least common multiple of 16 and r?
144
Suppose t = 2*m - 0*m - 26, -4*m = -3*t - 68. Suppose -3*x + x = -3*w - 167, -w = -4*x + 49. What is the common denominator of w/(-9)*30/t and -101/14?
56
Find the common denominator of 2 + 7 + 2/(960/(-3965)) and -115/108.
864
Let x = 149/4 - 21. Let o = 6210797/5102825 - -2/145795. Let q = -12/175 - o. Calculate the common denominator of q and x.
28
Suppose 5*u + 20 = 5*c, -5*u + 3*c = -c + 24. Calculate the common denominator of (-536)/80 - (-1)/5 and (-2)/(-8)*(-260)/u.
8
Let t = -4491247 + 80916709/18. Let n = t - 4122. Find the common denominator of -101/2 and n.
18
Let a = -40526 + 2269377/56. Calculate the common denominator of a and 9/28.
56
Suppose 0 - 25 = -5*y, 4*y = 2*z + 52. Let g = -32287/16614 - 1/923. Calculate the common denominator of g and (-3)/(-3)*174/z.
72
Suppose -56 + 16 = -2*q - 4*r, q - 28 = 2*r. Calculate the common denominator of -1 + (-2)/((-32)/(-356)) and (-4)/q - 638/(-120).
20
Let d(q) = 25*q**3 + 3*q**3 + 4*q**3 + q**3 - q + 2*q**2. Let o be d(1). Suppose o = 5*z - 16. What is the smallest common multiple of z and 2?
10
Suppose -4*k - 2*w + 10 = -2*k, -5 = 2*k + 5*w. Let a = 1373 + -1355. What is the lowest common multiple of k and a?
90
Find the common denominator of (-115)/(-2)*(-6)/110 and 69/134.
1474
Suppose m + 13 = 4*u + 4*m, 4*m + 4 = 0. Suppose -u*a + 36 = -4. Let y(d) = d**2 + 5*d + 2. Calculate the least common multiple of y(-5) and a.
10
Calculate the common denominator of 57/172 and (-3)/10*-2*(-112)/(-96).
860
Let u be (15/3 + -5)/(1 + -2). Suppose u*b = -9*b + 180. Let q = -13 - -21. Calculate the lowest common multiple of b and q.
40
Let q(m) = -4*m - 26. Calculate the lowest common multiple of q(-7) and -12*(6/9 - 1).
4
Let a be (2/9)/(58/2610). Suppose -1 = x + 1. Let y = a + x. What is the least common multiple of 29 and y?
232
What is the lowest common multiple of 21 and ((-108)/(-378))/(2/546)?
546
Let y(b) = 5*b**2 - 2*b + 1. Let j be y(1). Find the common denominator of ((-308)/6)/((-4)/1) and 4/(-18)*j/(-8).
18
Let k(d) = -d**3 + 2*d**2 - 2*d - 3. Let m be k(-3). Find the common denominator of -1 + 1 + (58/m)/(-1) and -11/32.
96
Find the common denominator of 113/96 and ((1012/(-429))/(-4))/(2/(-4)).
1248
Find the common denominator of (-73)/30 + 4/(-6) and -5/172.
860
Suppose 24*u - 1624 = 1016. Calculate the lowest common multiple of 20 and u.
220
What is the common denominator of (21/(-5))/7*474/594 and 181/30?
330
Let z(o) = o**3 - 4*o**2 + 3*o + 5. Let w be z(3). Suppose -3*l + 3*p + 20 = 8, -w*l = 3*p - 52. What is the lowest common multiple of 6 and l?
24
Find the common denominator of 1 - ((-100)/(-24) - -2) and (-82)/3*(-2)/28.
42
Let n = -55 + 123. Suppose 5*c - 2 = n. Calculate the smallest common multiple of c and 10.
70
Let r = -2390 - -4921/2. Let u be 26*(-2)/((-24)/(-25)). Let h = u + r. Calculate the common denominator of 1/11 and h.
33
Suppose -2*b + 3*b - 4*a = 1, 4*b = -5*a + 4. Let l = -29 - -22. What is the smallest common multiple of 46/161 + (-12)/l and b?
2
Let r = 9685/9 - 1078. Suppose 28*i = 25*i + 126. What is the common denominator of r and i/(-147) - 211/(-77)?
99
Let x = 145 + -103. Let z = x - 24. What is the lowest common multiple of 8 and z?
72
Let z(d) = 8*d - 320. What is the lowest common multiple of 204 and z(43)?
408
Let c(g) = g**2 + g. Let s(j) = -j**2 - 9*j - 8. Let v(i) = 2*c(i) + s(i). Let z be v(8). Let h(w) = w + 8. What is the lowest common multiple of 10 and h(z)?
40
Suppose -2*t - 2*t - 10 = -2*w, 20 = 4*w - 3*t. Suppose 220 = w*z + 5*z. Calculate the least common multiple of 20 and z.
220
Suppose -4*x + 3*s + 68 = 17, 2*x - 26 = 2*s. Let w(a) = 6*a + 24. What is the lowest common multiple of x and w(1)?
60
Find the common denominator of (4/(-12))/((-6)/(-345)) and -118*2/(-8) - -1.
6
Let w = 120205/162888 - -5/7404. Find the common denominator of 11/48 and w.
528
Let a be 12/(-84) - (-443)/3087. Let k = -7389701396 + 364992131372809/49392. Let p = k + a. What is the common denominator of p and -127/18?
144
Let i(p) = p + 3. Let w be i(2). Suppose 0 = b - w*b. Suppose b = 3*q - 7 + 1. What is the least common multiple of q and 18?
18
Let t(g) = -g**3 + 10*g**2 + 2*g - 17. Let j be t(10). What is the common denominator of -59/8 and (-1005)/90*j/8?
16
Let s(n) = 2*n - 9. Let v be s(6). Suppose 12 + v = 5*y. What is the lowest common multiple of (30*2/36)/((-5)/(-18)) and y?
6
Let f = -2577 + 17984/7. Let s = -7 + 12. Let z(p) = p**3 - 3*p**2 - 3*p - 5. What is the common denominator of f and z(s)?
7
Suppose u + 3*u - 3*x = -446, 4 = 2*x. Let t = u - -112. Calculate the lowest common multiple of 7 and t.
14
Calculate the common denominator of 13/15 and 462/90*(-11)/(-319).
435
Let q = 150 - 225. What is the common denominator of (-705)/120 - -3*1 and (42/(-15))/((-9)/q)?
24
Suppose 4*f - 4*q - 152 = 0, 110 + 2 = 4*f + 4*q. Calculate the least common multiple of (-2 + 0 - -6) + 2 and f.
66
Suppose 0 = -3*q + 5*q - 6, -4*v + 2*q = -54. What is the least common multiple of v and 30?
30
Let z(v) = -v**2 - 10*v - 26. Let k be z(-4). What is the lowest common multiple of ((-3)/k)/(2 - (-69)/(-36)) and 12?
36
Let v(g) = -9*g + 9*g + 5 - 1 - g**2. Let o be v(0). Suppose 0 = -o*f + 4. Calculate the smallest common multiple of 10 and f.
10
Suppose 2*b - 12 = w + 4*b, 0 = -2*w + 2*b. Calculate the lowest common multiple of (w/(-7))/((-14)/(-98)) + 4 and 6.
24
Let v = 446 - 6199/14. What is the common denominator of v and 3/10?
70
Let x = 539083/60570 - 1/6057. Let c = 3/177370 - 1035220011/354740. Let u = c + 2895. Calculate the common denominator of u and x.
20
Suppose 5 = 3*s - 13. Suppose 2*v - s*z + z - 15 = 0, -z - 15 = -v. Let w(f) = f**3 + 8*f**2 + 4*f - 5. What is the smallest common multiple of v and w(-7)?
80
Let b = -2817803/105 - -26836. What is the common denominator of -22/65 and b?
1365
Let d(u)