 2669. Let t be (-3)/2 - (-2696)/s. Let q = t + 11281/599. Find the common denominator of q and 23/20.
60
What is the common denominator of -61/46 and (-1)/(-8)*(-2 + 4)?
92
Let r(b) = -3*b - 11. Let f be r(-12). Suppose -19*q - 48 = -f*q. Calculate the least common multiple of 6 and q.
24
Suppose 2*d = -5*q - 7, 6*d + q + 6 = d. What is the common denominator of 43/16 and (78/96)/(d/5)?
16
Find the common denominator of 68/15 and ((-3)/(-150))/((-3)/(-84)).
75
Suppose 6*y = 3*y - 27. Let v = y + 33. Calculate the least common multiple of 3 and v.
24
Suppose 0 = -g - g + 10. Suppose 0 = g*m - 20 - 40. Suppose 4*d = -8 - 8, 2*d + 20 = 2*s. What is the smallest common multiple of m and s?
12
Suppose 43 - 83 = -8*a. Calculate the smallest common multiple of 125 and a.
125
Let x be (-642)/(0 - (3 + -1)). Find the common denominator of -1/22 and (x/(-152))/((-18)/(-12)).
836
Let p = -9172 + 183383/20. Let o be (-47)/4 - 2/8. What is the common denominator of (-146)/o - (-2)/6 and p?
20
Let n = 172015/3059 + -1067/19. What is the common denominator of n and -83/6?
966
Calculate the common denominator of 27/(-40) + -6 + (-78)/(-12) and 83/158.
3160
Suppose 2*x = -2*z + 194, -5*x + 0*x + 5*z + 505 = 0. Calculate the lowest common multiple of x and 81.
891
Let g(v) = -v**2 - 5*v + 3. Let m(s) = -s**2 + 12*s + 17. Let f be m(13). Suppose 15 = l - f*l. What is the lowest common multiple of g(l) and 2?
6
Let s(t) = -t. Suppose 0 = -2*c + 2*f, 0*f = -5*f - 25. Calculate the smallest common multiple of 29 and s(c).
145
Let s = 2671/4 + -673. Calculate the common denominator of 33434/1752 + 2/3 and s.
4
Calculate the least common multiple of (2/(-8))/(8/(-704)) and 52.
572
Suppose 0*g = 5*g + 2*m - 7, -19 = -5*g + m. Suppose -u = -g*u + 10. Suppose -u = z - 17. What is the lowest common multiple of z and 2?
12
Let m = -44042 - -1585637/36. What is the common denominator of 8/21 and m?
252
Let v = 54/25 - -1513/75. What is the common denominator of v and -51/5?
15
Let p = -31 - -15. Let n = 1 - p. Let q = 25 - n. What is the lowest common multiple of q and 8?
8
Let x = 153 - 150. Let c = -3 + 6. Suppose -j + c*h = -16, 3*h = 2*j - x*j - 8. What is the lowest common multiple of j and 8?
8
What is the lowest common multiple of ((-387)/(-36) - 11)*(-155 + -1) and 91?
273
Let r(i) = -36409*i**2 + i. Let q be r(1). Let j = q + 1747663/48. What is the common denominator of 53/4 and j?
48
Let m(u) = u**2 + 2*u - 13. Let n be (-3 + 28/8)*34. Let p = n + -9. Calculate the lowest common multiple of p and m(-9).
200
Suppose -2*c + 9 + 15 = 4*i, 5*c - 12 = 2*i. Suppose -2*u = -c - 10. What is the smallest common multiple of u and 10?
70
Suppose 18 = -4*n + 7*n. Let q(u) = -7*u**2 - 5*u + 9. Let x be q(n). Calculate the common denominator of 19/17 and 6 - 2 - x/70.
170
What is the lowest common multiple of 27 and (-20)/25 + 1636/20 + -3?
702
Let b(p) be the second derivative of p**5/20 + p**4/2 + 2*p**3/3 - p**2 - 34*p. What is the smallest common multiple of b(-2) and 1?
6
Let p(d) = -10*d - 19. Let f be p(-2). Calculate the least common multiple of 20 and 4 + (49 - f - 4).
240
Suppose 0 = -u - 7 - 0. What is the least common multiple of 5 - -2 - (u - -6) and 32?
32
Suppose -k = 2*k + 8799. Let i = 23555/8 + k. Calculate the common denominator of i and 5/2 - 2 - 153/(-96).
32
Find the common denominator of ((-3)/(-3) - 0) + 59/(-39) and -79/24.
312
What is the common denominator of (1/9)/(2575/25338) and 13/45?
225
Suppose -103 = 5*t - t + 5*h, -3 = h. Let d = -4 - t. Calculate the smallest common multiple of d and 6.
18
Let i = -2494/2769 - 43/213. What is the common denominator of -1/282 and i?
3666
Let p be (-4)/(-7)*(-119)/(-2). What is the common denominator of p/36*-1 + (-6)/(-6) and -151/6?
18
Let z = 4 - 2. Let r(v) = 2*v**3 - v**2 - 7*v - 3. Let h be r(-3). Let i = h + 55. What is the lowest common multiple of i and z?
10
Let b = 1151130215/33 + -34885787. Let l = -3055 - b. What is the common denominator of l and 99/8?
264
Let u(w) = -w**3 - 3*w**2 + 5*w + 5. Let r be u(-4). Let q = 683/341 - 48/31. What is the common denominator of q and ((-2)/10)/(r/37)?
55
Let w be (42/(-24))/((-1)/(-2)). Let z = w - -46. What is the common denominator of z and -61/2?
2
Let v = -8071/2640 + 59/110. What is the common denominator of 47/48 and v?
48
Suppose -5*x = 0, -f - 50 = -2*f + 5*x. Calculate the least common multiple of 95 and f.
950
Let d(x) = x**3 - 8*x**2 + 5*x + 10. Let i be d(7). What is the lowest common multiple of 14 and i/(-14) - (-82)/7?
84
Let r = -163 - -106. What is the lowest common multiple of (-1 + -1)/(38/r) and 8?
24
Let y = -1283 - -12839/10. Calculate the common denominator of -83/110 and y.
110
Let o = -192 - -209. What is the smallest common multiple of 7 and o?
119
Suppose -5*n - 2*l = -790, 5*n - 3*l = 513 + 277. Suppose -n = -9*o - 14. Calculate the smallest common multiple of (-20)/6*3/(-1) and o.
80
Calculate the common denominator of -56/3 and 16 - (-16 + 28) - 56/15.
15
Let o = 19/505 - -47291/18180. Calculate the common denominator of o and -13/3.
36
What is the common denominator of 4 + (116/144)/(2/(-15)) and -23/48?
48
Find the common denominator of -27/172 and 20/(-15) - 2561/(-312).
344
Let z be 2/5 + (-920)/50. Let g = z + 16. Calculate the common denominator of 77/4 and (-6)/144 - g/(-6).
8
Suppose 11*s + 10 = 6*s. Let x be s/10 + 8646/(-15). Let t = 572 + x. Find the common denominator of 31/11 and t.
55
Suppose 0 = 2*q + 2*n - 61 + 9, 2*q - 4*n = 82. What is the common denominator of 85/21 and q?
21
Let k = 445/2 + -213. Let v = 138/13 + -669/52. Calculate the common denominator of v and k.
4
Calculate the common denominator of -73*11/264 + 5/1 and 20/57.
456
Find the common denominator of 39/2 and 68/(-170) - (-733)/(-30).
6
Let o be -1 + 171/2 + -3. Let p be (-15)/50*263/(-1). Let b = o - p. Calculate the common denominator of 26/3 and b.
15
Let z = -295 + 315. What is the least common multiple of z and 20?
20
Suppose 2*n + 0*n - 28 = 0. Suppose 90 = -0*m + 5*m. Suppose l - m = -2*l. What is the lowest common multiple of n and l?
42
Suppose -b - 9 = 19. Let k = -4 - b. What is the smallest common multiple of k and 15?
120
Let y = 8 - 4. Suppose -t + 0*h + 3*h + 11 = 0, 3*t = -2*h + 11. Calculate the smallest common multiple of 3/6*(t - 1) and y.
4
Suppose -5*b = 235 + 230. Let d be 6/4 - b/2. What is the least common multiple of 6 and d/40*10*1?
12
Suppose -2*m + 34 = p, 91 = 4*m - 4*p + 11. Suppose -g - m = -4*g. What is the smallest common multiple of g and (-4)/(-6) + (-21)/(-9)?
6
Suppose -5*d = 2*r - 26, -r = -8*d + 11*d - 15. Let m = 1 + 37. Suppose -5*z = 2*t - 7*t - 10, m = 5*z + 2*t. Calculate the smallest common multiple of z and d.
12
Suppose 1217 - 264 = 186*y + 5231. Let w be 4/(-10) + (-121)/(-40). Let x = -137/8 + w. Calculate the common denominator of y and x.
2
Suppose j = 3*q + q - 68, 0 = -4*j - 3*q - 348. Let p = -7716 - -92531/12. Find the common denominator of p and 46/j - 3/(-9).
84
Let b = -174 + 183. Calculate the least common multiple of 45 and b.
45
Find the common denominator of ((-165)/92)/((-45)/(-10)) and 85/16.
1104
Suppose -g + 2 = 2*g + 2*j, -3*g + 5*j + 37 = 0. Suppose -o + 14 = -3*k - 8, -g*k - 48 = -4*o. Let s = 15 - 9. What is the smallest common multiple of s and o?
42
Let i = 1622/9 + -181. Find the common denominator of i and ((-510)/595)/(1/(-63)*-5).
45
Let y be 17 - 2*2/4. Let f = 95 - 51. Suppose 0 = 5*p - y - f. What is the lowest common multiple of 12 and p?
12
Let k(f) = f - 7. Let p be 12/(-30) + 32/5. Suppose -p*x + 7 = x. Calculate the least common multiple of x and k(9).
2
Let z = 111948368/9 - 38734112797/3114. Let c = z - 108/173. Calculate the common denominator of 89/8 and c.
72
Suppose 0*g - 177200 = 4*g - t, 4*t = -g - 44283. Let z = g - -1594615/36. Find the common denominator of -59/14 and z.
252
Let o = 1835/546 + 3/26. Let h = -26/67 + -1475/1206. Find the common denominator of o and h.
126
Let f(b) = 4*b**2 - 3*b + 2. Let i be f(2). Let q be -2*1/5 + (-108)/30. Let h = q + i. Calculate the smallest common multiple of 1 and h.
8
Suppose -8*f - 2205 = -f. Calculate the common denominator of 79/4 and f/14 - (-4)/1.
4
Let j = 160 - 136. Calculate the smallest common 