12 - -2 - 9) and -83/448?
4032
Let k = 794 - 710. Let n = 127127/36 - 3530. What is the common denominator of n and 107/k + 9/(-54)?
252
Suppose -2*w - 344 = -3*t, 0 = 3*w + 2 + 10. What is the common denominator of 45/134 and (-7)/(t/(-110)) - (-1 + 4)?
536
Let a = -73020/17 + 568525/153. Let d = a - -578. Let t = -1405/456 - 88/57. Find the common denominator of d and t.
72
Let y be ((-49)/(-1512))/(2/765294). Let d = y + -12401. Find the common denominator of d and -56/3.
72
Let m = -73 - -71. Let p be 0*(-3)/9 - 32. What is the common denominator of 48/11 and (m/p)/((-6)/12)*-94?
44
Suppose -5*d + 12 = -2*j, -10 = -5*j + 2*d + 2. Let a be 2 - 2*-4 - (5 - j). Calculate the least common multiple of 10 and a/((3 + -1)/4).
90
Suppose 5*w + 4 = -3*p - 5, 5*p + 46 = 2*w. Let x be 8/p - (0 + -1)/1. Suppose 5*l = x, -5*l + 2*l = -i + 2. What is the smallest common multiple of 34 and i?
34
Suppose -5*a - 65 = 95. Calculate the common denominator of (a/(-15) + 1)*-1 and 1 - (-62)/4*(-19)/38.
60
Let u = 81509/870660 - -4/4837. What is the common denominator of u and 41/12?
180
Find the common denominator of -5 + 1 + ((22236/48)/17 - 4) and -53/2136.
2136
Calculate the common denominator of 3/2912 and ((-27)/(-21) - 1)/(202488/40002).
32032
Suppose 9*d - 105 = 4*d. Let o = -964 - -1002. Suppose o*y - 144 = 35*y. What is the smallest common multiple of d and y?
336
Suppose 16*g = 14*g + 5*r + 5448, 0 = -4*g - 2*r + 10992. What is the lowest common multiple of 18 and g?
24696
Suppose 0 = -5*n + 10*n. Suppose 3*j = -4*b - j + 112, b + 2*j - 29 = n. What is the lowest common multiple of b and 9?
27
Let p(q) = q**3 - 21*q**2 + 16*q - 23. Let a be p(21). Let x = a - -131. Calculate the common denominator of -97/22 and (x/240)/((-1)/(-2)).
110
Let a be 33428/14 + (-6)/(-21). Let z = a - 14245/6. Find the common denominator of z and 4/6 + 2312/(-192).
24
Let q = 12854608255/3864 - 3326762. What is the common denominator of -143/12 and q?
3864
Let k = 996401/12 - 83021. Calculate the common denominator of (-226)/1280 - 1/(-5) and k.
384
Let f(z) be the first derivative of z**3/3 - 4*z**2 + 3*z - 9. Let r be f(5). What is the common denominator of 47/33 and 2/r*(-2 + (-87)/2)?
132
What is the common denominator of -53/2794 and (50/(-4064))/((-9)/(-9) + 0)?
22352
Let d = -592 + 596. Suppose -x + 26 = d*c + 2*x, 14 = c - 3*x. Calculate the least common multiple of 86 and c.
344
Suppose 2*f - 9 = 15*g - 14*g, 4*g = -3*f + 41. Suppose -4*p = f*d - 12*d + 196, -3*p - 120 = -3*d. What is the least common multiple of d and 60?
180
Let n(a) = a**3 - 7*a**2 - 23*a + 55. Suppose -9 = 4*z + 4*u - 41, 5*z - 46 = u. Calculate the least common multiple of n(z) and 36.
180
Suppose 3*u = 10*u - 49. Let f = u + 0. What is the lowest common multiple of 18 and f - 4 - 4/4?
18
Let y = -63883/12 - -5328. Let z = -15925728387673/869414018 - -2/39518819. Let m = z - -18314. What is the common denominator of m and y?
132
Find the common denominator of 2/(-2) + 77/39 and 38/(-28)*1792/(-1536).
156
Let q = 23377/40 - 585. Let y = -540749/34600 + 2606/173. What is the common denominator of y and q?
200
Suppose -30 = -3*q + 75. Suppose -d = 2*a - 12, -4*a + 9 - 21 = -a. Calculate the smallest common multiple of d and q.
140
Let z = 510973/30 + -17027. Find the common denominator of z and (-164)/(-6)*((-814)/(-55) - 15).
30
Calculate the common denominator of 5/804 and 12/(-162)*9 - (-56)/67.
804
Suppose -4*d = -5*i + 12, d + 4*i = 3*d + 12. What is the least common multiple of 18 and (22 - -3)/(-5) + (16 - d)?
18
Suppose 4*o + 2128 = -4*a, 0 = 2*o - 2*a - 0*a + 1052. Let d = o - -537. Calculate the lowest common multiple of d and 298.
1192
Let z = -3038 - -3048. What is the least common multiple of 84 and z?
420
Calculate the least common multiple of 8 and 868 + 2 - (4/9)/(10/45).
1736
Let d(q) = q**2 + 4*q - 8. Let n be d(-6). Let w be 2368/(-10) + n - 0. Let y = 10741/45 + w. What is the common denominator of -40/11 and y?
99
Find the common denominator of (35/(-49))/((-12)/182) and 1038/(-114) - -9 - 1034/285.
30
What is the lowest common multiple of 640 and (-24)/(-8) + 57 + 0?
1920
Suppose 2*x = -11 + 5, -3*x = -5*m - 6. Let y be -1 - 70 - (m + 1). Calculate the common denominator of y/44 - -3*(-2)/(-24) and -15/8.
88
Suppose 0 = -3*p - 3*p + 72. Let v = p + 60. What is the common denominator of -1 - 2*339/v and -93/4?
12
Suppose 4*v + 8 = 0, -5*u + 0*v + 429 = -2*v. Let a = 125 - u. Calculate the least common multiple of a and 20.
40
Let q = -774859857403/90 + 8609642526. Let d = q - 88553. Calculate the common denominator of 37/60 and d.
180
Suppose 0 = -2*x - c + 4*c - 6, -10 = 5*x - 5*c. Suppose 5*z - 99 = -3*j, x*j + 5*j = 15. What is the least common multiple of -3*(10/(-5) - 0) and z?
18
Suppose j - 12 = -14*k + 11*k, j + 4*k - 16 = 0. Suppose j = 179*t - 178*t - 5. Calculate the smallest common multiple of 325 and t.
325
Let b(l) = 514*l**2 - 7*l - 8. Let t be b(8). Let q be (0 - t/20) + -3. Let u = q - -4919/3. Find the common denominator of -89/30 and u.
30
Suppose t + 4617 = 3*h, -4*t = -3*h + 62 + 4555. Calculate the lowest common multiple of 162 and h.
3078
Let o = 6/6815 + 80393/27260. Find the common denominator of o and (-7973)/1020 - (-5)/(25/40).
60
Let y = 70034011/1632 - 42913. Let d = y + 797/4896. Calculate the common denominator of d and -29/80.
720
Let i be (-2 + 68/32)*362. Let m = i - -1441/12. Let n = m + -627/4. Calculate the common denominator of n and -65/18.
36
Let s = -3558 + 2268. Let m = -2501/2 - s. What is the common denominator of m and -3/16?
16
Let r be 63871493/(-840) + (6/(-3) - -4). Let o = r - -76035. Calculate the common denominator of o and 149/66.
1320
Let d(i) = 6*i + 44. Let r be d(-8). Let g(s) = -s**3 + 15*s + 3. What is the least common multiple of g(r) and 5?
35
What is the common denominator of 95/2322 and 1/2*(-22)/10?
11610
Let r = 521811/8 - 65229. Find the common denominator of 2 - 143/(-24)*-2 and r.
24
Let u = 52/31625 - 929933749/379500. Let x = -2441 - u. Find the common denominator of x and 115/42.
84
Suppose 5*q - 30 = -q. Let d(n) = n**3 - 4*n**2 - 3*n - 11. Let b be d(q). Calculate the smallest common multiple of ((-8)/(-6))/(b/(-15)) and 8.
40
Let v = 1087/34 - -36331/68. Let l = -20459/36 + v. Find the common denominator of l and (13/(-48))/((-2)/6).
144
Let v(z) = -249*z + 3261. Calculate the least common multiple of v(5) and 126.
2016
Let d = 193788/11 + -2519156/143. Calculate the common denominator of d and ((-3)/(-60) - 0)*-2.
130
What is the lowest common multiple of 138/368 + 20867/56 and 4?
1492
Suppose 0*o - 5*o - 5205 = 0. Let a = o - -14657/14. Let q = 31029 - 186173/6. What is the common denominator of q and a?
42
Let o be -5 - -1*(-2)/(-2). Suppose -691 = -7*i - 726. Calculate the lowest common multiple of (-22)/i - o/(-10) and 22.
44
Let j(i) = 60*i + 110. Let g be j(-2). What is the common denominator of (86/g)/(-287*4/(-70)) and (-1)/(-6*2/106)?
246
Suppose 4154 - 18390 - 7964 = -50*v. Calculate the least common multiple of 24 and v.
888
Let t(z) = 24*z**3 - z**2 + 4*z - 3. Let v(k) = 24*k**3 - k**2 + 4*k - 4. Let s(f) = -2*t(f) + 3*v(f). What is the smallest common multiple of s(2) and 152?
760
Let k = 17464699396 + -345591471577145/19788. Let q = k + 1/4947. Let z = 3499 + -76911/22. Calculate the common denominator of q and z.
132
Let s = -9335/8 - -4715/4. Let v = 41 - 81. Calculate the common denominator of s and v.
8
Suppose -12 = 5*b + 198. Let p = 47470 + -522197/11. Find the common denominator of p and b.
11
Let v(m) = -m**3 + 35*m**2 + 290*m - 12. Calculate the lowest common multiple of v(-8) and 840.
840
Let i = -1017/74 + 60049/4403. Calculate the common denominator of 56/5 and i.
1190
Suppose -2*a + 3*a = 0. Suppose 4*l + 3*b - 76 = a, -2 = 2*b - 10. Let r = -529 - -537. Calculate the smallest common multiple of r and l.
16
Let k = 66668276/343 - 194368. Find the common denominator of 67/441 and k.
3087
Suppose 0 = 4*h - 8, 3*m + 0*m = -h + 8. Let y be (3*m)/((-252)/(-624)). Let q = y - 19. What is the common denominator of q and 27/10?
70
Let z = 217 + -309. Let v be 0 + 2/(-7) + (-1452)/14. Let j = z - v. What is the smallest common multiple of 9 and j?
36
Suppose 198 = 58*x - 40*x.