1. What is the common denominator of j(-4) and ((-4)/(-7))/(0 - 80/(-224))?
5
Find the common denominator of 795/(-30)*7/14 and (-190)/(-28) - 4/14.
4
Let l be (-10)/4*(-729)/180. Let m = l + -931/88. What is the common denominator of m and -55/6?
66
Find the common denominator of -63/20 and 186/(-175)*(-155)/(-124).
140
Let n(k) = 3*k - k**3 + 16 - 3*k - 10 - 6*k**2. Let a be n(-6). Suppose a = 2*l - 18. What is the smallest common multiple of l and 6?
12
Let g(y) = y**3 + 5*y**2 - 5*y + 7. Let b be g(-6). Let s = 3823/490 + 39/98. What is the common denominator of b/1*(-2)/(-15) and s?
15
Suppose 2*u = -2*u - 152. Suppose -19 - 8 = y. What is the lowest common multiple of 16 and y/18 + u/(-4)?
16
Let d(s) = -s + 3. Let x(l) = 5*l - 7. Let r(w) = 2*d(w) + x(w). Let n = -10 - -17. What is the lowest common multiple of 20 and r(n)?
20
Let z(d) = -15*d**2 - 286*d + 9. Suppose 3*j - 4*n = -j + 80, -2*n = -3*j + 60. Calculate the least common multiple of j and z(-19).
140
Let k = -2115793171077247/251391121349676 + 1/13683383483. Let i = -1/3062 + k. Let z = -1710/17 + 38317/374. What is the common denominator of i and z?
132
Suppose 5*u + w - 278 = 0, 2*u + 7*w - 2*w = 102. Calculate the smallest common multiple of u and 44.
616
Suppose 0 = -m - s + 3*s + 86, -s = 3*m - 258. What is the smallest common multiple of 18 and m?
774
What is the lowest common multiple of 112 and 6/10 - (-55760)/400?
560
Let a be -10*(8/20)/1. Let f be -6*16/222*a. Let n = f + 1039/148. Find the common denominator of n and -29/9.
36
Suppose v = -17 + 21. Calculate the common denominator of -16/9 and (-483)/(-56) + 1/v.
72
Let r = 34361/36 - 954. Find the common denominator of -121/12 and r.
36
Suppose 4*r + 25 = -r, -5*r - 34 = 3*p. Let h = 7 + p. What is the least common multiple of h and (5/(-10))/(5/(-100))?
20
Let h = 394/23 - 12757/644. Calculate the common denominator of h and 51/236.
1652
Suppose -27*y - 190 = -32*y. Suppose j - 104 = 5*j. Let d = 36 + j. What is the smallest common multiple of d and y?
190
Let l(f) = f**3 - 3*f + 2*f + 88*f**2 - 83*f**2. Calculate the least common multiple of 12 and l(-3).
84
Let b be (90/(-140))/((-3)/40073). Let g = -8581 + b. Find the common denominator of g and 19/26.
182
Let w = -553 - -589. Calculate the smallest common multiple of 33 and w.
396
Suppose -3*k + 13 = -2*z, 4*k + 3*z + 6 = -5. Let f = 17 + k. Calculate the lowest common multiple of 4 and f.
36
Let x be 8/(2 - 20/5). Let b be x - 3/((-39)/1906). Let i = 10435/78 - b. Calculate the common denominator of -53/18 and i.
18
Suppose -8*v = -142 - 1002. What is the lowest common multiple of v and 7?
1001
Let m = 78887/22 - 3585. Find the common denominator of m and (-110)/16*(-12)/3.
22
Calculate the least common multiple of 5 and -9 - -186 - (5 + 4 + -15).
915
Suppose 6 = -7*p + 118. What is the smallest common multiple of p and 30?
240
Let c = 3481/435 + -149/58. What is the common denominator of c and -139/24?
120
Let n(m) = 7*m**3 - 5*m**2 - 8*m + 9. Let l be n(6). Let s = 1819 - l. Calculate the common denominator of (-2)/5 + s/(-60) and -63/8.
24
Let x be (2*1)/((-26)/(-39)). Suppose f + 1 = x. What is the least common multiple of 8 and f?
8
Let u = 872 - 712. What is the smallest common multiple of 128 and u?
640
Suppose 212*n - 234*n = -44. Calculate the smallest common multiple of 416 and n.
416
Let x(k) = -k + 11. Let g = 36 - 30. Calculate the least common multiple of x(7) and g.
12
Let s(v) = -2*v + 4. Let q be s(5). Let z = -6 - q. Find the common denominator of (1 + z)/1 + 27 and 40.
1
Suppose 10*k - 19 = 11. Let d(z) = 2*z**2 - 4*z + 4. Calculate the smallest common multiple of d(k) and (-9 - -3)/(4/(-6)).
90
Suppose 0*x + 8*x + 432 = 0. What is the least common multiple of 6 and ((-2)/(-6))/((-9)/x)?
6
Let f = -8 + 15. Calculate the common denominator of (f/(-5) - -1)*(-300)/16 and 21/4.
4
Let i(s) = -20*s**3 + 2*s**2 - s - 4. What is the smallest common multiple of 8 and i(-2)?
664
Let f = -286 - -295. Calculate the smallest common multiple of f and 99.
99
Let x be (-1)/((-3 - (-1 - 0))/(-8)). Let r(v) = v**2 - 3*v - 10. Calculate the smallest common multiple of 4 and r(x).
36
What is the common denominator of -45/22 and (1023/248)/((-128)/12)?
2816
Suppose -7*w - 2268 = -21*w. What is the smallest common multiple of 6 and w?
162
Let g = 6725/20748 - -3/6916. Find the common denominator of -67/57 and g.
114
Suppose -2*x - 36 = -3*n, 5*n - 3*x = -6*x + 60. Suppose y = -3*y - t + 7, t - 6 = -3*y. Let g(b) = 4*b + 2. What is the smallest common multiple of n and g(y)?
12
Let d be 2*((-24)/(-8) - (-1)/(-1)). Suppose d*l - 30 = -l - 5*v, 0 = -2*l - 3*v + 12. What is the least common multiple of (-9)/2*(-8)/6 and l?
6
Suppose 5 = -n + 6*n. Let t = 873 + -872. Calculate the smallest common multiple of n and t.
1
Let k be (-156351542)/32*(-5 + 4). Let m = k - 4878165. Let o = m + -7825. Calculate the common denominator of o and 63/2.
16
Suppose 17 - 3 = 2*k. Let p = k - 0. What is the lowest common multiple of 12 + -5 + (-3 - -2) and p?
42
Let m = 3/393520 + -12313437569/1180560. Let l = -10406 - m. Find the common denominator of -65/4 and l.
12
Let b(g) = -g**3 + 2*g**2 - g. Let k be b(1). Let j be (k - -11)*(-11)/1. Calculate the common denominator of 0 + j/(-6) + -1 and 53/8.
24
Let a = -3/808 + 57781/2424. Let s = 432383/20 - 21624. Find the common denominator of a and s.
60
Suppose 5*h = -3*x + h + 644, -2*h = -5*x + 1030. Calculate the least common multiple of x and 8.
208
Calculate the common denominator of -83/6 and 5/(-6 + 204/18).
48
Let y = 223 + -6245/28. Calculate the common denominator of 53/24 and y.
168
Let i = 41 + -40. Calculate the common denominator of -149/18 and i + (-2466)/1624 + (-32)/(-112).
1044
Suppose 0 = w + 4 - 18. Let g = -28 - -30. Suppose 0 = -2*b - g*b + 32. Calculate the smallest common multiple of w and b.
56
Suppose 0 = -3*a - 2*u + 25, -a = 3*u - 6 - 0. What is the common denominator of 25*a/42 - (2 + 0) and ((-3)/(-4))/(-3) + -18?
28
Calculate the common denominator of -73/88 and (52/60)/(3 + (-378)/110).
792
Suppose r = -3*l - 6, 4*l = l. Let u = -1 - r. Suppose 0*s + 50 = u*s. What is the smallest common multiple of s and 20?
20
Calculate the common denominator of 95/(-6)*-1*(-8)/(-20) and 28/9.
9
Let u(y) = -2*y - 33. Let l be u(12). Let k = l + 196/3. Find the common denominator of -28/9 and k.
9
Let t(d) = -d**2 - 9*d - 12. Let c be t(-9). Let s = -8 - c. What is the least common multiple of s and 11?
44
Let g = -3938317/66 + 59670. Find the common denominator of g and (-123)/738 - -38*(-2)/(-120).
330
Let k = -218 + 839. Find the common denominator of 139/84 and 2 - (6/15 - k/(-110)).
924
Let g(h) = -9*h**3 + 2*h**2 + h. Suppose -3*k = -3 + 6. What is the lowest common multiple of 11 and g(k)?
110
What is the common denominator of (-94)/10 + 9 + 226/(-360) and 17/12?
36
Let n(c) = -c. Let o = -187 - -198. What is the lowest common multiple of n(-4) and o?
44
Let f = 170 - 116. Let a = f + -16. What is the lowest common multiple of a and 8?
152
Let o be (-2)/(-9) - 713/9. Let j = -50 - o. Calculate the lowest common multiple of 3 and j.
87
Suppose 30*r = 3*l + 32*r - 784, 4*l - 1048 = -2*r. Calculate the least common multiple of l and 240.
2640
Let s be (-1)/(-5) - (-8001)/(-105). What is the common denominator of -1 - (6/(-4))/((-12)/s) and -17/18?
18
Suppose -3*w - 5*u = -126, -3*w - 3*u + 2*u + 126 = 0. Suppose -3*i = 3*i - w. Calculate the lowest common multiple of i and 5.
35
Suppose -2*v = -0*v - 5*g - 149, 0 = -2*v + 3*g + 143. What is the least common multiple of v and 13?
871
Let k(o) = 9*o**3 + o**2 - 1. Let x be k(1). Suppose -x = 2*p + 5*r, p - 5*r + 13 - 46 = 0. What is the smallest common multiple of p and 1?
8
Let p = 1393/96 + 23/96. Calculate the common denominator of p and -93/628.
628
Let n = -24 - -40. Let s(r) = -6*r**2 + 2*r**2 + 5*r**2 + 3 - 12 - 10*r. Calculate the least common multiple of n and s(11).
16
Let o be 24/(-144) - (-19)/6. Suppose 0 = o*d - 5*r - 8, -d - 2*r + 3*r + 2 = 0. What is the least common multiple of d and 12?
12
Let b = -6 - -22. Suppose -l - 5*n + 8 = -b, 52 = 4*l - 2*n. What is the lowest common multiple of 23/5 + 9/(-15) and l?
28
Suppose -3*a = -2 - 7. Find the