
70
Let a = 145/12 - 63/4. Find the common denominator of a and (102/8)/(15/(-14)).
30
What is the least common multiple of 4 and (-72)/(-33) - -2*2/(-22)?
4
Let u be -28*4/(-8) - 4. Suppose 4*c = 0, -3*c + 11 = -4*f + 51. Suppose x - u = 2*z, f - 53 = -5*x + 3*z. What is the smallest common multiple of 2 and x?
8
Suppose 2*q - 6*q + 28 = 0. Suppose -29*j + 102 = 5*j. Calculate the least common multiple of j and q.
21
Let z be 409/(-2) + 3/6. Let m be 3 + -1 + z + 2. Find the common denominator of -64/9 and (4/(-10))/((-15)/m).
9
Let r(n) = 3*n - 9. Let t be r(7). Let s(i) = -i**2 + 2*i + 4. Let p be s(4). Calculate the lowest common multiple of (80/t)/(p/(-6)) and 6.
30
What is the common denominator of -97/22 and (-201)/(-4)*(-1)/6?
88
What is the common denominator of -35/116 and ((-348)/(-32))/(-2 + (-14)/8)?
580
Let d(y) = y**3 - 2*y**2 + 3*y - 2. Let o be d(2). Let n = 18 + o. What is the least common multiple of n and 8?
88
Let r(n) = 68*n**2 + n - 1. Let m be r(1). Suppose -2*x = -4*u + m, 2*u = 6*u + 5*x - 82. Let h = -81 - -93. What is the least common multiple of u and h?
36
Suppose -5*b = -b - 16. Let r be (b/(-10))/(2/20). What is the common denominator of -137/12 and (-1)/r*(-282)/33?
132
Suppose -5*v = -4*j + 40, 37 = -3*v - 5*j - 24. What is the common denominator of -53/4 and ((-26)/(-6))/(v/63)?
4
Let u = 475 + -1889/4. Calculate the common denominator of (-4)/(-22) + 2307/198 and u.
12
Let u(w) = w**2 + 5*w + 10. What is the smallest common multiple of u(-4) and 2?
6
Let b be (18/(-15))/((-12)/(-880)). Calculate the common denominator of -10/11 and (-194)/b - 6/(-24).
11
What is the smallest common multiple of 10 and (-4)/(-32)*402 - 1/4?
50
Suppose 0 = f + 71 - 16. Let g = 43240/11 - 3927. Find the common denominator of (12/f)/((-3)/(-10)) and g.
11
Let z = -3/431 + -29709/4310. What is the common denominator of z and 69/2?
10
Let w(u) = -16*u - 2. Let f be w(-2). What is the lowest common multiple of 2 and (-1 - f/(-2))/2?
14
Let u be (-2)/(-18)*3*12. Suppose -k = -u*b + 9, k + 3*b = 6*b - 6. What is the smallest common multiple of k and 2 + 1 + 0/2?
3
Suppose -j + 5*j = 2*v + 40, 2*j - 20 = -4*v. What is the least common multiple of j and 10/((2 + 0)/1)?
10
Let f = 421 + -195. Let h = 1873 - 3667/2. Find the common denominator of f/16 - 4/2 and h.
8
Suppose -7*p + 2*p + 90 = 0. Let b be (-50)/(-4)*-2 - -3. What is the common denominator of p/(-3)*9/b and 95/4?
44
Let b(z) = -z**2 + 31*z - 100. What is the smallest common multiple of b(26) and 35?
210
What is the common denominator of -85/4 and (82/(-3))/((-14)/3)?
28
Let r be 4/(3 + -2) - -2. Calculate the common denominator of -51/4 and (-2067)/(-54) - r/(-27).
4
Let k = 6471/8 - 811. Suppose 3*d - 5*d = -6. What is the common denominator of k and d/(-6) + 29/14?
56
Let v = 22 + -11. Let g = v + -2. What is the least common multiple of g and 2?
18
Suppose -5*d + 0*l = l + 24, 0 = -3*d + 3*l - 18. Let a(i) = i**2 + 3*i - 6. What is the smallest common multiple of a(d) and 4?
4
Suppose 3*d - 6 = d. Let b be -1 - -1 - 0/(-3). Let q = b + 2. Calculate the least common multiple of d and q.
6
Let l = -40837/8 + 5113. Let x = 193/2 - 1639/18. What is the common denominator of l and x?
72
Let m be 31*((-4)/2 - -3). Let c = m - 17. Let b = 8 - 4. What is the smallest common multiple of c and b?
28
Let v(r) = -5*r + 1. Calculate the least common multiple of v(-2) and 3.
33
Suppose -2*j - 36 = -5*j. Suppose -2*m + m + j = 0. Calculate the least common multiple of 4 and m.
12
Let a = -2292 + 36685/16. Calculate the common denominator of a and 13/10.
80
Let g = 215 - 124. Suppose -3*u = -4*d - 0*u + g, 3*u + 69 = 3*d. Let v(o) = 13*o**2 + 1. What is the smallest common multiple of d and v(-1)?
154
What is the least common multiple of 21 and 5 - -13 - ((-1 - -4) + -6)?
21
Suppose -g + 36 = 4*n, 0 = -3*n + n + 5*g + 18. What is the least common multiple of n and 30?
90
Let d be 0 - ((-460)/(-468) + -1). Let y = -12/16565449 - -176637393919/15505260264. Let h = d - y. Find the common denominator of -5/6 and h.
24
Find the common denominator of (-2 - (-65)/2)/(1 - -11) and -99/2.
24
Suppose -14*d - 9 = -17*d. Let m(a) = -a**2 - 4*a + 3. Let u be m(-4). Suppose 4 = u*r - 5. Calculate the lowest common multiple of d and r.
3
Let i(t) = 2*t**2 - t. Let o be i(1). Let h = -4 + o. Calculate the common denominator of -89/12 and 3 - h/(18/(-159)).
12
Let x be (-3)/(-2 - 5/(-3)). Suppose -2*t - 5 = -o + x, -3*o = -4*t - 34. Calculate the smallest common multiple of 10 and o.
30
Let o be 0 - -2*7*4. What is the common denominator of -15/32 and (-593)/28 - (-24)/o?
32
Let u = 592 - 580. Suppose -k - 2*k + 60 = 0. Calculate the smallest common multiple of u and k.
60
Let i = -12496/151 - -2883001/37146. Let a = 1/41 - i. What is the common denominator of -30/7 and a?
42
Suppose -52 = 2*n - 4*p, 0 = -6*n + 3*n - 5*p - 45. Let c = n - -56. Calculate the common denominator of c and 23.
1
Suppose 5*g - 185 - 920 = 0. Suppose -3*v - 4*p + g = 0, 0*v + v - 5*p = 99. What is the common denominator of v/2 - 3/6 and -73/6?
6
Let i be (-2)/(-6) - (-354)/(-171). Let l = 611/133 + i. Calculate the common denominator of -19/8 and l.
56
Suppose 19 = 5*g + 4. Suppose -g*t - 33 - 3 = 0. What is the common denominator of -1 + (-1 - (-74)/t) and 28/9?
18
Suppose -5*y = -y + 412. Let h be (0 + -1)*(-1 - y). Find the common denominator of 81/14 and (h/(-30))/(12/(-70)).
42
Calculate the common denominator of (-2*235/60)/3 and 169/60.
180
Let p = -8/103359 - 153487507/7855284. Let n = p - -11/38. Find the common denominator of 21/(-84) + 10*(-1)/(-2) and n.
4
Calculate the common denominator of 55/38 and ((-11737)/(-1980) - 4/(-18))/3.
380
Let l = -7 - -35. What is the common denominator of (-53)/16*l/42 and 55/18?
72
Let x = -10 + 22. Suppose 4*v = x, -6 = 3*z - 2*z - v. What is the lowest common multiple of ((-1)/(-3))/(z/(-27)) and 2?
6
Let b = -124833/29854 - 1/2714. What is the common denominator of 87/4 and b?
44
What is the common denominator of (36/10 + -4)*415/(-44) and 63/8?
88
Let i(l) = -17*l - 1. What is the lowest common multiple of i(-2) and 69?
759
Let w be 1 + (-5)/(10/(-8)). Suppose -4*v + 32 = -5*k, -w*k - 8 = v - 2*v. What is the smallest common multiple of 7 and v?
56
Calculate the lowest common multiple of -2 - 32/(-4)*3 and 4.
44
Let n = -32203/10 - -3213. Calculate the common denominator of ((-3)/6)/(4/59) and n.
40
Let x be (1 - 3/9)*3. Suppose 2*m = -x*m + 1572. Let a = -3921/10 + m. What is the common denominator of -55/4 and a?
20
Let l(s) = 5*s - 5. Let h be l(6). What is the least common multiple of 260/h + (-4)/10 and 5?
10
Let b = -5015/3447 + 4/383. Find the common denominator of 31/4 and b.
36
Let o(z) = 6*z**2 - 5*z + 7. Calculate the least common multiple of 30 and o(2).
210
Let t be 4/(-6) + 4574/30. Let m = 150 - t. Calculate the common denominator of 2 + 122/(-20) - -2 and m.
10
Let p = 8 + -3. Let y = 0 + p. Let r = y - 2. What is the lowest common multiple of 10 and r?
30
Let a(h) = 5*h**2 - 2 + 2*h**3 + 3*h - h**3 + 0*h. What is the smallest common multiple of a(-3) and 9?
63
Let i(j) = j + 1. Let m be i(-4). What is the common denominator of 97/4 and (-61 - 0)/((-6)/m)?
4
Let x = -1/3410 - -116797/15345. Find the common denominator of -95/2 and x.
18
Let b(y) = 6*y**3 - 2*y**2 - y. Let d(k) = 18*k**3 - 6*k**2 - 2*k. Let a(i) = -11*b(i) + 4*d(i). What is the common denominator of (-5)/(-2)*(-357)/45 and a(2)?
6
Let u = -1160 - -10463/9. What is the common denominator of 36/7 and u?
63
Let b = 2346/5 + -13321/30. What is the common denominator of -19/32 and b?
96
What is the common denominator of 23/12 and ((-21)/36)/((-1)/(-3))?
12
Let h = 1594832 + -172240471/108. Let a = -11485/26838 + 1/497. Let i = h - a. What is the common denominator of 2/11 and i?
44
Let l = 9/160 + 10799/1440. Find the common denominator of l and 10/11.
99
Let u = -63755/1362 + -81/227. Let k = u - -65/3. Let s = 772/165 + -32/15. Find the common denominator of s and k.
22
Let c = -1001/30 - -87/10. Suppose -p = -5*z + 7, -7*p + 3*z - 9 = -4*p. Calculate the common denominator of p/(-7) - (-766)/112 and c.
24
Let a be (0 - -2)/(-9 + 11). Let b = a - -4. Calculate the smallest common multiple of b a