
Let r(k) = k**3 + 4*k**2 - k - 3. What is the lowest common multiple of r(-2) and 11?
77
Let s be (3 + -4 + 3)/(-1). Let y be (3/(-5))/(s/(-30)). Calculate the common denominator of 69/10 and (y/6 - -2)*53.
10
Let g = 47423/10674 + -32/593. Suppose -3*l = 2*l - 150. What is the common denominator of ((-2)/(-8))/(7/l) and g?
126
Suppose 4 = 5*f - 6. Suppose 0 = -i - 4*i + a + 110, f*i - 17 = -5*a. What is the lowest common multiple of i and 8?
168
Suppose 200 = -3*x - 3*t - t, 3*t = 4*x + 225. Calculate the least common multiple of (5/2)/((-25)/x) and 11.
66
Suppose 24 = 127*s - 131*s. What is the least common multiple of 10 and (-32)/s*3/2?
40
Suppose -139 + 331 = 8*b. What is the smallest common multiple of 18 and b?
72
Suppose -3*c - 3915 = 147. Let y be c/18 + 12/54. Calculate the common denominator of 123/10 and (102/y)/((-8)/(-10)).
10
Suppose -61*y + 360 = -58*y. What is the smallest common multiple of y and 36?
360
Let f(o) = -7*o - 66. Let r(s) = 20*s + 197. Let h(y) = -11*f(y) - 4*r(y). Let m be h(0). Let k = -14 - m. What is the common denominator of -61/5 and k?
5
Suppose y - 2*g = -3*y + 24, 0 = -5*y + 2*g + 30. Let j be (90/4)/(1*1/2). Suppose -50 = j*d - 50*d. What is the lowest common multiple of y and d?
30
Suppose -4*d + 113 = -3*c - 2*c, 0 = -5*d - 15. Let w = c + 43. What is the smallest common multiple of w and 16?
144
Suppose -4*q + 11 = 3. Suppose q + 2 = 2*v. What is the lowest common multiple of 2 and v?
2
Suppose -335*j + 339*j = 148. What is the common denominator of 2/(-8)*j*(-1)/4 and ((-14)/(-32))/((-1)/(-22))?
16
Let h = -7874 - -409411/52. Calculate the common denominator of 61/(-4) + 0 + 1 and h.
52
Suppose -10*j - 16 = 34. Let t = -1605/8 + 395/2. Calculate the common denominator of t and 61/32*(7 + j).
16
Let k(a) = a**2 - 19*a - 114. Suppose -3*z = -2*o + 4*o - 78, -2*o = 2*z - 54. What is the least common multiple of z and k(25)?
72
Find the common denominator of (2535/720)/(1 + 2/8) and -9/22.
660
Let a(n) = -12*n + 2. Let u be a(-5). Let m = u + -59. What is the lowest common multiple of 2 and m?
6
Let y(i) = -i**2 - 14*i - 18. Calculate the least common multiple of 150 and y(-6).
150
Let j(p) = 2*p**3 + 14*p**2 - 3*p + 21. Let g(x) = x**3 + 7*x**2 - 2*x + 10. Let f(v) = -9*g(v) + 4*j(v). What is the smallest common multiple of f(-8) and 10?
10
Let w = -1993/2896 - -25967143/1016496. Let i = 301/13 - w. Find the common denominator of i and -71/27.
27
Let m(w) = 27*w**2 + 17*w - 2. Calculate the least common multiple of 20 and m(-5).
2940
Let l(x) = -2*x**3 + 26*x**2 + 30*x - 10. What is the smallest common multiple of 484 and l(14)?
4356
Suppose 191*q - 187*q - 24 = 0. Let y = -23 + 16. Let j = y + 9. Calculate the lowest common multiple of j and q.
6
Suppose 4*c = 3*x - 17 + 60, 0 = -5*c + 2*x + 52. Calculate the smallest common multiple of c and 34.
170
Suppose f - 3*f = 5*u - 48, 3*u + 3*f = 36. Suppose -4*y + u*y = 56. Suppose 5*b = 2 + 58. What is the lowest common multiple of y and b?
84
Let a(b) = 12*b - 66. What is the lowest common multiple of 126 and a(10)?
378
Find the common denominator of -103/6 and (123/(-24))/(207/(-36)).
138
Let j = -224 + 331. Let g = -75 + j. What is the lowest common multiple of g and 22?
352
Suppose 43*c - 1198 = 479. Calculate the common denominator of c and -48.
1
Let t = 6855/8 + -852. Find the common denominator of -49/46 and t.
184
Let p be (-1)/(-2) + (-18)/(-4). Suppose 13 = p*d - 3*x, -5*x = -19 - 1. Suppose 0 = -d*j + 18 + 17. What is the lowest common multiple of j and 8?
56
Let z be -5 - (-2 + 363215/75). Let f = 4851 + z. Find the common denominator of 137/6 and f.
30
Let v = -30645/8 + 3819. Let n(t) = t - 1937. Let d be n(0). Let x = 19399/10 + d. Calculate the common denominator of x and v.
40
Let m(r) = -28*r - 45. Let q be m(-6). Calculate the common denominator of 25/24 and (q/12)/((-70)/40).
168
Let z = 97115/132 - 2939/4. Let d = -2413 + 43333/18. Find the common denominator of d and z.
198
Suppose 52*t - 6*t - 828 = 0. What is the smallest common multiple of t and 12?
36
Suppose -5*g + 0*g - 425 = -3*i, -g + 2*i - 78 = 0. Calculate the common denominator of 99/34 and (4 + 340/g)/(3/71).
374
Let y = 45587 - 272789/6. Let t = y + -113. What is the common denominator of t and -1/10?
30
Let n = 597 - 533. Calculate the smallest common multiple of 2 and n.
64
Suppose 4 = 20*m - 16*m. Suppose 3*o - o - 5*d + 73 = 0, 5*d + 95 = -5*o. Let s = o + 28. What is the lowest common multiple of s and m?
4
Let g = 12 + -12. Let w = 4 - g. Suppose -z = w*i - 3, 41 = 4*z - 2*i - 7. What is the least common multiple of z and 1?
11
Let k(f) = -f**2 - 15*f + 35. Let v be k(-18). What is the common denominator of v/72 + (-34)/(-153) and -64/39?
312
What is the least common multiple of 1/(0 + 1 - (-966)/(-1035)) and 738?
3690
Let o = 1729/615 - -19/492. Suppose 3*m - 7*m = -16. Calculate the common denominator of (-5)/(-10)*(-59)/m and o.
40
Calculate the common denominator of 2/10 - 1692/160 and -5/26.
104
Let l = 10 - -422. Calculate the common denominator of (-2529)/l + (-2)/6 and 29/18.
144
Suppose 0 = -5*j - 2*b + 54, -3*b - 27 = -2*j - 2*b. Find the common denominator of -3/8 and (9/j)/(2*(-11)/76).
88
Let d = 110277 + -12130593/110. Find the common denominator of d and -61/220.
220
Let a = 15210 - 59023/4. Let u be (-7164)/16 + (-1)/4. Let z = a + u. Calculate the common denominator of 93/4 and z.
4
Suppose 8 = -0*q + 4*q. Suppose x = q*x - 4. Find the common denominator of 73/16 and (-334)/56 + x/(-14).
16
Suppose -3 = -3*c + 9. Suppose 10 = -4*i + 4*r + 230, -2*i - c*r = -86. Find the common denominator of (6/(-99))/((-4)/i) and 79/6.
66
Suppose -3*k + 0*k = -o + 27, -3*k = 3*o - 33. What is the common denominator of (86/(-15))/(24/o) and -89/4?
12
Suppose -49*p = -43*p - 42. Let g = p + 29. Calculate the smallest common multiple of 12 and g.
36
Suppose 2416 + 542 = 17*f. Calculate the smallest common multiple of f and 33.
1914
Let r = -175913/12416 - -1416/97. Calculate the common denominator of r and -61/2.
128
Let g = -5/14 - 19/84. Let o = -6275/9 + 699. Calculate the common denominator of g and o.
36
Let t = -35 - -43. Calculate the smallest common multiple of t and 3/((-2)/((-8)/3)).
8
Suppose -q + 3 = 7. What is the common denominator of (-51)/q*(-8)/16 and -17/6?
24
Calculate the common denominator of -105/88 and (146/5)/(48*(-4)/(-60)).
88
Suppose 7*u = -248 + 269. What is the smallest common multiple of 60 and u?
60
Let s = -27 + 39. Let b(l) = -l**3 - 7*l**2 + 2. Let p be b(-7). Suppose -p*w - 8 = m, m - 4*m - 5*w = 19. What is the smallest common multiple of s and m?
12
Let r = -1620683/88 - -18418. Find the common denominator of r and 69/110.
440
What is the common denominator of 41/8 and (-5)/3 - ((-65681)/(-12408) - 7)?
376
Let w = 8172194/189 + -43239. Find the common denominator of 23/27 and w.
189
Suppose -5*q + 875 = -5*y, 4*q + y - 24 - 661 = 0. Calculate the lowest common multiple of q and 11.
1892
Let z = 936 + -926. Calculate the smallest common multiple of z and 198.
990
Let b be ((-51397221)/(-94))/((-5)/1210). Let l = -377783223375539/2855062 - b. Let r = l - -2/4339. Calculate the common denominator of -79/2 and r.
14
Let j = 2992 - 2970. Calculate the least common multiple of (0 + 1)*-1*-4 and j.
44
Let i = 10 + -18. Let w = 7343 - 7334. What is the least common multiple of w and (2 - 1)/((-2)/i)?
36
Let p = -437/7 - -61. Calculate the common denominator of p and 45/14.
14
Let s(l) = -3*l**2 - 92*l - 52. Calculate the smallest common multiple of s(-30) and 26.
104
Let a = 965/78 - 59/13. Find the common denominator of 2/9 + 1042/252 and a.
42
Suppose -2*j + 365 + 423 = 0. What is the common denominator of ((0 + -1)/(1/23))/3 and j/12 - (-4)/6?
6
Let x be 8/(-10) - (-1611)/(-30). Let q = 48 + x. Calculate the common denominator of 53/2 and q.
2
Let x = 42035/26556 - -1/2213. Let c(b) = -2*b + 2. Let p be c(3). Find the common denominator of x and -2 + (3 - 21/p).
12
Find the common denominator of 58/45 and ((-196)/(-16))/(4 + -2 + -5).
180
Suppose -2*j + 244 = -r + 67, -3*r + 252 = 3*j. Let t = -3 + -7. What is the smallest common multiple of j/27 - t/(-45) and 8?
24
Calculate the common denominator of 47/4 and -1 - 4474/1100 - (-