at is the common denominator of l and (-81)/(-70) + 1 + (-2)/(-14)?
60
Let o be (537/845)/((-2)/35). Let p = o - 5/1352. Find the common denominator of 101/24 and p.
24
Suppose 0 = -3*g + 111 + 90. Calculate the smallest common multiple of 10 and g.
670
Let n(x) = -5*x**2 + 8*x - 22. Let l be n(4). Let u = -69 - l. What is the least common multiple of u and 66?
66
Suppose u + 5 - 15 = -5*h, -3*u + 4*h = -30. Calculate the common denominator of 12 and 4/(12/9) - 29/u.
10
Suppose 5*f - 4*f = -4*a + 12, 3*f - 10 = a. Let c be 6402/(-357) - a/(-7). Let v = c - -2531/102. Find the common denominator of -3/10 and v.
30
Let h(w) = -w**2 - 17*w - 40. Let j be h(-15). Calculate the common denominator of 102/10*j/32 - -4 and -133/6.
48
Suppose 0 = 12*x + 4*x - 1024. Let i(n) = n**3 - n**2 + n - 4. Let z be i(0). Calculate the lowest common multiple of (1 - 0) + (-12)/z and x.
64
Suppose r + 2*r = 5*t - 14, 3*t - 16 = -2*r. Let f(i) = 2*i**3 - 3*i**2 + 2*i. Let d be f(r). Find the common denominator of 13/12 and (-2)/d + 42/(-8).
12
Let z = -403 + 217. Let l = 128 + z. What is the common denominator of -1 + l/(-18) - 1 and 53/7?
63
Let t(g) = 2*g**2 - 11*g + 31. Let n be t(10). Let l = 131 - n. What is the least common multiple of 0 - 2*(-1 + -3) and l?
40
Let g = -16 - -34. Calculate the common denominator of (-163)/24 - g/(-27) and -101/20.
40
Let x = 35 - 32. Suppose x*h + 2*h = 80. What is the least common multiple of 24/(-2)*(-1)/2 and h?
48
Find the common denominator of ((-2140)/(-60) - -1)*3/76 and 11/380.
380
Let v be ((-15)/(-3603))/(12/(-43726)). Let x = v - -4/1201. What is the common denominator of x and (1 - 0) + (-29)/10?
30
Let s(r) = -r**3 - 15*r**2 - 16*r - 21. Suppose -2*f + f = -27. What is the least common multiple of s(-14) and f?
189
Suppose h + 1155 = 16*h. Calculate the lowest common multiple of 14 and h.
154
Let c = 8 + 0. Suppose 4*l - 30 = 5*m, 3*l = m + 4*l + 15. Let q(p) = -p**3 - 11*p**2 - 11*p - 7. What is the least common multiple of q(m) and c?
24
Suppose x + m = -30 + 79, 5*x = 3*m + 213. Let v = x + -25. Calculate the smallest common multiple of 8 and v.
40
Let l = 921 + -4631/5. What is the common denominator of l and 0/2 + (-14)/6?
15
Suppose 0 = 3*u + 5*a - 36, -5*u - a = 4*a - 60. Suppose k + 3*k + 40 = 0. Calculate the lowest common multiple of u and 20*3*k/(-30).
60
Suppose -5*p - 147 - 238 = 0. Calculate the common denominator of (174/p)/(28/(-49)) and ((-23)/(-25))/(20/(-150)).
110
Let r be (-2 - -1)/((-1)/4). Suppose r*z = -0*z + 12. Calculate the lowest common multiple of 63 and z.
63
Suppose -3*y = -3*d - 6, y + 26 = 5*y + 5*d. Suppose y*a = 7*a - 30. Let q = -7 - -13. Calculate the lowest common multiple of a and q.
30
Let f be -63*169 - (-25)/(-5). Let t = -106623/10 - f. Calculate the common denominator of t and 10/11.
110
Find the common denominator of -4 + 2968/21*(-3)/(-126) and -3/35.
315
Suppose -k + 9*k = 16. Suppose 5*l + 4*f - 24 = 4, -3*l - k*f = -16. Calculate the least common multiple of 6 - 1/(2/2) and l.
20
Suppose 4*f - 2*r + 5*r = -7, -5*f - 15 = 5*r. Let h = -306 - -310. Calculate the least common multiple of h and f.
4
Let u be -8*1/(-2) + (-725)/181. Let w = 3812/1991 + u. What is the common denominator of 49/9 and w?
99
Let x = 39560/9 + -4401. Find the common denominator of -68/27 and x.
27
Let m = 1200551/44190 + 29/2946. Let w be 4/3*366/20. Let s = w - m. What is the common denominator of s and -61/5?
45
Let z = 27 - 27. Suppose 0 = -3*k - z*k + 5*n - 2, -5*n + 20 = 0. What is the least common multiple of k and 4?
12
Suppose -2*h = 25*x - 28*x - 5, 5*h - 44 = -3*x. Calculate the least common multiple of h and 263.
1841
Let d(h) = h + 4. Let z be d(0). What is the common denominator of -19/9 and -4 - (98/30 - z)?
45
Suppose 106 = 5*h - 84. Let g = h - 40. Find the common denominator of 2*g/352*166 and 45/8.
88
Suppose -4*f = f + 6722000. Let s = f + 99487203/74. Let z = s + -6/37. Find the common denominator of -5 and z.
2
Let w = 617/2 + -932/3. What is the common denominator of -109/84 and w?
84
Let a(d) = d**3 + 6*d**2 - 6*d + 17. Calculate the smallest common multiple of a(-7) and 11.
110
Suppose -8*i + 1723 - 859 = 0. Calculate the smallest common multiple of 16 and i.
432
Suppose -4 = d + 4*c - c, -d + 3*c + 20 = 0. Let t = -67 + 16. Let m = t + 73. Calculate the lowest common multiple of d and m.
88
Suppose -18*s = -16*s + 18. Find the common denominator of 2/6 + (-150)/s and 61/10.
10
Suppose -15 = 3*d, -3*y + 2*d - 3*d + 7 = 0. Let p = 12 - 12. Suppose -2*t = -p*t - 36. Calculate the smallest common multiple of t and y.
36
Calculate the least common multiple of 2/66*6 - (-2473)/11 and 50.
450
Let h(v) = -8*v + 8. Let w be ((-2)/(-3))/(3 + 24/(-9)). Find the common denominator of h(w) and -37/6.
6
Let i = -87509/406 + 1513/7. What is the common denominator of -87/10 and i?
290
Let f(z) = z - 5. Let a be (-4)/(-18) + (-7516)/(-36). Calculate the smallest common multiple of a/55 + (-1)/(-5) and f(15).
20
Let v be 8 + -11 + -1*2. Calculate the common denominator of (v/(-16))/((-12)/(-624)) and -37/22.
44
What is the common denominator of 708/108 + 1*-1 and 74*16/(-12)*3/12?
9
Let k be 2102555/(-7590) + -2*(-3)/(-6). Let v = k + 6447/23. Find the common denominator of 59/10 and v.
330
What is the least common multiple of 7 and 1*-36*(-5)/20?
63
Calculate the common denominator of 3*7*24/(-176) and 25/(-6)*(0 - (-23)/(-30)).
396
Suppose -5*a + 1219 = 3*g, 2*a + 90 = 94. What is the least common multiple of 13 and g?
403
Let f = -117 + 66. Let s = 73 + f. Calculate the lowest common multiple of s and 16.
176
Let c = -2 - -4. What is the lowest common multiple of c and ((-12)/(-10))/(35/525)?
18
Let q = 15/44 - -149/176. Let w be (5/(-1503))/(8/7905). Let r = 3/668 - w. Calculate the common denominator of r and q.
48
Let b(j) = -j**2 - 13*j + 31. Let d be b(-14). Suppose s - 6*s + d = 2*z, 2*s = 2. Calculate the least common multiple of z and 2.
6
Let r = -102811 + 65701. Let h = -39893247/1075 - r. Let m = h + 4079/2150. Calculate the common denominator of 77/8 and m.
40
Suppose -35*b + 20441 = -9239. Calculate the smallest common multiple of b and 18.
7632
Let m(y) = y - 1. Let a be m(13). What is the common denominator of -7 and (-534)/135 - a/(-30)?
9
Suppose 6*k - 260 = k. Suppose 0 = 6*l - 4*l - 6*l. Suppose l*j - 2*m = 2*j - k, 3*j - 2*m - 58 = 0. What is the lowest common multiple of 16 and j?
176
Let a = -9735932 + 389365287/40. Let s = -1800 - a. What is the common denominator of s and -73/35?
280
Let b be 54 + 0 - 3/(0 + -1). Let v = b - 46. Calculate the smallest common multiple of v and 7.
77
Suppose -11*l - 3041 = -3063. What is the lowest common multiple of 52 and l?
52
Let o be 1525/535 - (0 - -1). Let s = 105115858503/8560 - 61399429/5. Let k = s + o. Calculate the common denominator of 29/2 and k.
16
Let u = 51 + -29. Let x = 6 + -4. What is the smallest common multiple of x and u?
22
Let o(b) = -b**3 + 10*b**2 - 5*b - 16. What is the smallest common multiple of 60 and o(8)?
360
Let i = 7691 - 99913/13. Let p = -820/273 + i. Let o = p - 206/63. Find the common denominator of -35/8 and o.
72
What is the common denominator of 45/22 and (-76)/(-247) - 14462/48100?
20350
Let i = 34 - 33. Let t = i + 3/4. Calculate the common denominator of t and (-10 + -3)*(-6)/32.
16
Let l be -1*(48/(-2))/(-4). What is the common denominator of -32/3 and 1/l + (-3)/(-2)?
3
Suppose 0 = c + 2*u - 448, 0 = -9*c + 12*c - 4*u - 1304. What is the least common multiple of c and 10?
440
Let s(h) = 10*h**2 + 17*h - 45. What is the least common multiple of s(3) and 192?
192
Let y = 7 - 3. Suppose -y*t + 894 - 190 = 0. Calculate the common denominator of 5/2 and -4 + 3 + 164/t.
44
Let k be (-28)/(-154) + (-2)/11. Calculate the lowest common multiple of k + 2/4 + 1/2 and 2.
2
Suppose -3*o + 5 = t - 3, -4 = -2*o. Suppose 4*q - 16 = -4*a, t*q = -5*a + 8 - 0. Suppose -2*y - 4 = -q*y. Calculate the lowest common multiple of 9 and y.
18
Calculate the common denominator of 32/21 and (3962/(-396) - -10)/((-5)/650).
693
Calculate the common denominator of (2*3/(-160))/((-8)/1056) and -85/126.
1260
Let h(l) = 3*l + 0*l**2 + l**3 - 14*l + 7 - 8*l**2 - 2*l**3. Calculate the smallest common multiple of 