-43/141 and (-8)/(-44) + (-1319)/(-66).
282
Find the common denominator of (2356/(-132))/(-19) - 0/1 and 67/15.
165
Find the common denominator of 89/(-30) - (-6)/(-9) and 52/55.
330
Let u be 98/33 + (-12)/(-18). Let b = u + -969/88. What is the common denominator of 13/8 and b?
8
Suppose -5*q + 27 = -z - 0*z, -4*z - 48 = -5*q. Let f = -5 - z. What is the common denominator of (9/f - 1)/(-1) and -48?
2
Calculate the least common multiple of 142 and (-1 + (-7)/(-14))/(4/(-24)).
426
Let t(h) = -28*h**3 - h**2 + 9*h + 3. Calculate the lowest common multiple of t(-2) and 11.
2255
Calculate the common denominator of 7 - (-118)/168*-10 and -107/42.
42
Suppose -13*x + 72 = -656. Calculate the lowest common multiple of x and 4.
56
Let p be ((-6306906)/(-97892145)*-129)/(-4). Let r = p - -1/241709. What is the common denominator of 59/20 and r?
180
Let g be 826/35 + 6/15. What is the common denominator of (-50)/175*g/2 and (-6)/(-4)*116/(-24)?
28
Let y = -17 - -19. Suppose y*q - 15 = w, 0 = -4*q - 5*w + 9. Let u = -31 - -49. Calculate the least common multiple of q and u.
18
Let m(p) = 4*p**3 - 6*p**2 - 5*p**3 - 4*p + 8*p - 5. Calculate the smallest common multiple of m(-7) and 6.
48
Let y be (-105 + -9)*79/2. Let i = -72149/16 - y. Find the common denominator of i and -17/20.
80
Let d = -75 - -79. Suppose -5*g = -3*y + 40, d*g + 69 = 4*y + 5. Let c(m) = -13*m**3 - 2*m**2 - m. Calculate the least common multiple of c(-1) and y.
60
Find the common denominator of -167/42 and ((-83)/5)/((-414)/(-345)).
42
Let t = 8 + -5. What is the lowest common multiple of 12 - 25/((-275)/(-44)) and t?
24
Suppose 0 = -14*i + 7*i + 231. What is the lowest common multiple of 121 and i?
363
Let o be (6089/134)/(6 + -1 - 4). Let n = o + 4/67. Calculate the common denominator of n and -1/12.
12
Let q(p) = -36*p**3 + 6*p**2 + 7*p. Calculate the lowest common multiple of 20 and q(-2).
2980
What is the common denominator of (30/40)/((-15)/(-178)) and (572/16 - (-1)/2)/(-9)?
180
Calculate the smallest common multiple of 2 + 0/(-3) + (-1 - -106) and 7.
749
Let p(y) = y**3 + 49*y**2 + 95*y + 54. What is the least common multiple of p(-47) and 53?
371
Let u = -27241/310590 + 1/2465. Find the common denominator of u and -115/168.
504
Suppose -2*d + 2*j + 4 = -2, 16 = 5*d - 4*j. Calculate the smallest common multiple of 48/(-2)*d/(-6) and 26.
208
Let f = -2/4961 + 203417/39688. Let c(m) = 2*m**3 + 10*m**2 + 10*m + 2. Let y be c(-7). Calculate the common denominator of (-1)/1 - y/64 and f.
8
Suppose 0*x + 5*x = 10. Suppose 757 = 5*t + l - 10026, 4318 = 2*t + x*l. Let i = -47357/22 + t. What is the common denominator of 57/22 and i?
22
Suppose -5*p + 5*x + 0*x = -25, 4*p - 3*x - 17 = 0. Suppose p = z + 3. What is the lowest common multiple of (-16)/24*(z + -2) and 22?
22
Suppose -175 = -2*l - q, -2*q = -l - 0*l + 90. What is the lowest common multiple of 264 and l?
264
Suppose 3*g + 3*k - k = 80, g - 4*k - 50 = 0. What is the least common multiple of 20 and g?
60
Let z = -19929/8 - -2482. Suppose 4*g + 4735 = -g. Calculate the common denominator of g/182 + (-26)/169 and z.
56
Let w(z) = -z**3 - 5*z**2 + 15*z + 12. What is the lowest common multiple of w(-7) and 358?
1790
Let q(w) = -4*w + 70. Calculate the smallest common multiple of q(17) and ((-28)/(-30)*3)/((-20)/(-100)).
14
Suppose -887 = -6*z - 77. Let t = z + -257/2. Find the common denominator of 57/16 and t.
16
Let z = -116 - -1399/12. Calculate the common denominator of 139/78 and z.
156
Let r = 674 - 620. What is the lowest common multiple of 9 and r?
54
Suppose 0 = -342*s + 344*s - 4. Calculate the smallest common multiple of (-2)/(-6) + (-2)/(-3) and s.
2
Let v = -111 - -168. Let q = v + -88. Let x = q - -55. Calculate the least common multiple of x and 2.
24
Find the common denominator of 14/9 and 3/2 - 548/24*1.
9
Let q be 550/(-1048) + (-1)/(-4). Let a = q - 12301/524. Find the common denominator of a and ((-53)/6)/((-6)/18).
4
Let s be 2/3 - 164/12. Let d = s + 40. Find the common denominator of -97/10 and 4 - (-1 + 75/d).
90
Suppose k - 2*k = n + 6, -3*n + k = 6. Let g be ((-2)/12)/(n/(-48156)). Let i = 128239/48 + g. Find the common denominator of 41/8 and i.
16
Let o(a) = a**3 + a - 2. Let j be o(0). Calculate the smallest common multiple of (8/2)/((-1)/j) and (-19)/((-19)/2)*1.
8
Let k = -244 - -252. What is the lowest common multiple of 16 and k?
16
Calculate the common denominator of 1 - 2 - 2674/(-2184) and -89/24.
312
Find the common denominator of -28/33 and ((-3434)/(-36))/(-17)*(-1)/2.
396
Let g = -60297/10 + 6041. Calculate the common denominator of (-2)/14*(-1)/2*67 and g.
70
Let w = -1217/266 + 10/133. Calculate the common denominator of w and -107/222.
222
Let m = 1207/132 - -23/44. Let o = -141/242 - -875051/1210. Let d = -734 + o. Find the common denominator of m and d.
15
Let s = -13991/1818 + 132/101. Let x = 38 - 2376. Find the common denominator of s and 32/48 + (x/(-48))/7.
72
Let y be (-652)/14*1 + 2. Let n = y - -4733/112. What is the common denominator of n and (19/8 - 2)/((-18)/153)?
16
Calculate the common denominator of 133/18 and ((-232)/(-672))/(1 + (-8)/10).
252
Let h = -10 + 2. Let w(i) = -i**3 - 7*i**2 + 8*i + 5. Calculate the smallest common multiple of w(h) and 1.
5
Let b = 73 - 59. Calculate the common denominator of ((-2)/(-70))/((-2)/(-445)) and (5 + (-330)/(-35))/(24/b).
84
Suppose 0 - 100 = -4*u. Calculate the least common multiple of 24 and 3/4*(-1 + u).
72
Let t = 12373/783 - 498/29. Let w = 1451 - 8747/6. Find the common denominator of w and t.
54
Suppose 0*l + 5*c = -4*l + 20, 0 = -4*l - 2*c + 32. Suppose 0 = -b - 3*r + 86, -4*b + 9*b - 410 = -5*r. What is the lowest common multiple of l and b?
80
Let w be (-1)/(0 + 2/(-20)). Let r be 78/w - 7/(-35). Suppose 5*u = 3*u + r. What is the smallest common multiple of u and 24?
24
Let k = 38369 - 153744577/4007. Let h = -436835/48084 + k. Calculate the common denominator of h and 1*(-1)/8*-35.
24
Let k(r) = r**2 + 4*r + 3. Let p be k(-4). Suppose 5 = -2*u + 7*u, 4*u = p*w - 8. Let z = 41 - 28. Calculate the smallest common multiple of z and w.
52
Suppose -731*y + 133 = -738*y. Calculate the common denominator of y and -11/4.
4
Suppose -34 = -3*z - t + 5*t, 0 = -5*z + 3*t + 53. Suppose 0*w - 8 = -4*w. Calculate the smallest common multiple of w and z.
10
Let z = 15/961 - 133759/11532. Calculate the common denominator of -37/34 and z.
204
Suppose -j + 10 = 4*q - 2*q, 2*q + 4*j - 10 = 0. Calculate the smallest common multiple of 20 and q*-1*(-1)/2*4.
20
Suppose 5*t = -5*q + 40, -9*t + 4*q = -18*t + 87. Calculate the smallest common multiple of 220 and t.
220
Suppose 5*u = 20, -3*l + 0*u + 67 = -2*u. Suppose -4*t + 19 + l = 0. Calculate the smallest common multiple of 4 and t.
44
Find the common denominator of (6/(-64))/((-1)/12) and 102/(-34) + -1*2/(-12).
24
Suppose 0 = -5*z, -6*d + 2*d + z = 0. Suppose d = 3*j - 1 - 17. Let w = -298 - -307. What is the least common multiple of j and w?
18
Let j be (2/(-28))/(2/(-5604)). Let l = -11817/56 + j. Find the common denominator of 8845/(-390) + 4/(-26) and l.
24
Suppose -3*h + 5 = -1. Suppose 0 = h*d - 7 - 3. Suppose 0 = k - 23 + d. Calculate the least common multiple of k and 8.
72
Suppose -44 = 3*r - 5*s - 15, -3*r + 3*s - 39 = 0. What is the lowest common multiple of 14 and (-12)/(-2) + r + 22?
70
Let o(j) = -j**2 + 8*j - 2. Let l = -7 - -12. What is the least common multiple of (l - 3) + (-3)/(-1) and o(6)?
10
What is the common denominator of 5/(-3) + 3730/420 and -77/48?
336
Suppose 0 = -3*d + 3*h + 42, -4*d + 3*h = 5*h - 32. Let n be (-3 - -6) + -2 - -3. Let q = 12 - n. What is the least common multiple of q and d?
40
Suppose 0 = -24*v + 29*v - 35. Suppose -q - 480 = -v*q. Let n(c) = 23*c**3 - 1. What is the smallest common multiple of q and n(1)?
880
Suppose 5*n - 4*n + 19 = 5*f, -f + 3 = -n. What is the common denominator of (-884)/(-1120) + -1 + f/14 and -87/16?
80
Let i = -17183/7 - -721823/294. Find the common denominator of 61/18 and i.
882
Let x(q) = -q**2 + 19*q - 62. Calculate the smallest common multiple of x(14) and 2.
8
Let f = -2209693/518 + 29868/7. Let g = -15625 - -343665/22. What is the common denominator of f and g?
814
Let j = -222898578061265310213/306299422 +