 denominator of (l/(-6))/((-8)/584) and 79/8?
24
Let o = 19 + 21. Calculate the smallest common multiple of o and (-108)/(-30) + (-8)/(-20).
40
Calculate the common denominator of 988/(-396) + ((-24)/27)/(-4) and 61/276.
3036
Suppose -7*w = -12*w. Suppose y = -w*y. Suppose 2*a - 4*p - 32 = 0, y = -2*a + 3*p + 27 - 0. What is the smallest common multiple of 8 and a?
24
Suppose 36 = 5*r + 2*u, -22*r + 9 = -23*r + 5*u. Calculate the smallest common multiple of 2022 and r.
2022
Let i(m) = 10*m - 106. What is the lowest common multiple of i(12) and 4?
28
Let y(j) = -2*j - 39. Let u be y(-22). Suppose -9*b + u = -4. Let g(o) = o**3 + o**2 - 2. Calculate the least common multiple of g(2) and b.
10
Suppose 2 = 2*i + 5*n + 5, -4*i - n = -21. What is the lowest common multiple of 138 and i?
138
Let v = 45/254 - -1719/9652. Find the common denominator of v and 4/57.
228
Let x(g) = -g**3 - 7*g**2 - 6*g + 3. Suppose 4*d - 5*d - 24 = 4*s, 0 = 3*d. Let t be x(s). Let y = t + -2. What is the least common multiple of 11 and y?
11
What is the common denominator of (-440)/858*(-1)/(-4) and 161/156?
156
Let c = -397/2 - -213. What is the common denominator of ((-1)/((-30)/204))/(-1) and c?
10
Let z(k) = -k**3 + 5*k**2 + 2*k - 3. Let m be z(5). Let a(t) = -14*t**3 - t**2 + 1. Let v be a(1). What is the smallest common multiple of 20 and 73/m + 6/v?
20
Suppose -2*q - 4*b + 0*b - 64 = 0, -2*q - 5*b - 68 = 0. Suppose 0 = 4*k - 21 - 11. What is the lowest common multiple of (-1 - -9) + q/12 and k?
24
Let z = -4598 - -3136. Let n = -2/1586743 - -20846629552/14280687. Let w = z + n. Calculate the common denominator of 9/7 and w.
63
Suppose -20*c - 348 = -24*c. Let x = c + -201/2. What is the common denominator of 101/2 and x?
2
Suppose -828 = 137*q - 160*q. What is the lowest common multiple of q and 132?
396
Let g = 3653 + -29175/8. What is the common denominator of g and (-4*4/(-40))/(48/(-350))?
24
Let q = 58981/127029 + -1/1841. Find the common denominator of -23/3 and q.
69
Let l = 50 - 20. Calculate the smallest common multiple of l and 6.
30
Let f = -193/350 + -61/50. Find the common denominator of f and -57/110.
770
Let c(k) = k**2 + 13*k + 9. Let o = 62 + -75. Calculate the smallest common multiple of 4 and c(o).
36
Suppose 8*f = 67 + 53. Calculate the lowest common multiple of 55 and f.
165
Let s(a) = 16*a + 708. What is the lowest common multiple of 11 and s(-44)?
44
Suppose -4*u + 0*z - z + 20 = 0, 0 = u - 4*z - 5. Suppose -u*b + 48 = -7. Calculate the smallest common multiple of b and 4.
44
Let c = 6/3283 - 27815/78792. Find the common denominator of c and 47/12.
168
What is the least common multiple of (-104)/(4 + 0)*(-18)/12 and 65?
195
Let r(g) = 2*g + 10. Let y(c) = c + 6. Let a be y(-7). What is the lowest common multiple of 10/25*(6 + a) and r(2)?
14
Let a be (-2)/(-9) - 544/(-711). Let i = -5287/474 + a. Let s = -62/9 - 95/18. Find the common denominator of s and i.
6
Let b = -41 - -22. Let m = b + 27. Calculate the smallest common multiple of 24 and m.
24
Calculate the least common multiple of (48/(-15))/((-4)/20) and 4.
16
Let d(s) = s**3 - 10*s**2 + 6*s - 10. Let i be d(10). Let t be (0 + i)*(-2)/5. Find the common denominator of -67/14 and (-8)/t - 683/(-30).
42
Calculate the smallest common multiple of 33 and 1*-2 + (1620/(-9))/(-9).
198
Let f = 376 - -290. Calculate the lowest common multiple of f and 2.
666
Let t(z) = z**3 - 12*z**2 + 13*z - 1. Let v be t(11). Suppose 0 = 17*x - v - 81. What is the smallest common multiple of 4 and x?
12
Let v = -2313/4 + 596. Suppose -28 = -5*u - 2*t, 3*u + 5*t - 17 = 4*t. What is the common denominator of u/9 + (-80)/(-114) and v?
76
Let w = -175/11 - -15. Let i = w + -123/22. Find the common denominator of i and -2 - (3718/24)/(-11).
12
Let d(g) = g**3 - 3*g**2 - 5*g + 2. Suppose 0 = 5*s + l - 25, 0*s + 2*l + 10 = 5*s. Let a be d(s). Calculate the lowest common multiple of 7 and (9/6)/((-1)/a).
21
Let y = 546 - 459. Calculate the least common multiple of y and 33.
957
Let n be (-3 - (2 - 5))/(-2). Suppose q - 3*c + 41 - 7 = 0, -4*q - 3*c - 91 = n. Let f = q + 31. Calculate the least common multiple of f and 8.
24
Let m(f) = -3*f**3 - 5. Let x be m(-3). Find the common denominator of -39*4/x*(2 + -1) and -39/4.
76
Let d = -239/33 - -398/33. Calculate the common denominator of d and 35/(-9)*(-6)/(-4).
66
Let c = 21/115 + -9859/460. Let g be (-123)/6 + 0/(-2). Let j = g - c. Find the common denominator of j and -19/9.
36
Let j(c) = 2*c**2 + 17*c + 1. Let s(p) = 2*p + 2. Let n be s(-6). Let l = 16 + n. Calculate the smallest common multiple of j(-9) and l.
30
Suppose 0 = 175*i - 178*i + 45. Calculate the lowest common multiple of i and 3.
15
Suppose 5*f - 32 = -4*g, -5*g - 13 + 36 = 2*f. What is the lowest common multiple of 21 and ((-45)/4)/5*(-40)/g?
210
Let l = -1501473 - -21064815/14. Let z = 3158 - l. Find the common denominator of z and -109/20.
140
Suppose -2*l - 4*d = -54, 3*l - d + 0*d = 95. Suppose 2*p = -p + 18. Suppose -2*u - 2 = 0, 0 = 2*j - u + p*u - l. What is the least common multiple of 18 and j?
18
What is the common denominator of 137/18 and (-7730)/20244 + (-348)/(-1218)?
4338
Let i be 1/((-3)/(-18)) - 3. Let r = i + 1. Find the common denominator of 6/r - (-73)/12 and 75/2.
12
Suppose 2*s - 2*v + 9 = 51, -4*s = -2*v - 86. What is the lowest common multiple of 3 and s?
66
Let c = 1/25 - -98/675. Find the common denominator of 41/3 and c.
27
Let i(g) = -2*g + 3. Let v be i(3). Let w be -3 + 9/v + -3. What is the common denominator of 115/14 and 10/w*33/(-12)?
126
Let f = 2 - -3. Suppose 3*p - f*p = -3*b - 11, 3*b - 31 = -4*p. Suppose -p*q + 4*q = -42. What is the lowest common multiple of 11 and q?
154
Suppose 0 = -8*j - 1196 + 4724. What is the lowest common multiple of 18 and j?
882
Suppose 21 = 2*v + 3*i, -24 = -v - 3*i - 9. Let o = 12 + 2. Suppose -5*j + o + 16 = 0. Calculate the least common multiple of j and v.
6
Suppose -6 = -4*u + u. Suppose 3*g = -u*b - 8, 5*g = 2*b + 4 - 28. Let n(l) = -3*l - 28. Calculate the lowest common multiple of n(-13) and b.
22
Let v = 7577/882 + -342/49. What is the common denominator of 75/142 and v?
1278
Let i(p) = -2*p**3 - 16*p**2 - 18*p - 6. Let m be i(-7). Let b = 25 - m. What is the least common multiple of b and 6?
6
Suppose 4*x = 7 + 13. Let o be -1 + x - (-28)/(-2). Find the common denominator of (182/(-6))/(20/o) and 77/10.
30
Let j(z) = 14*z - 1. Calculate the lowest common multiple of j(1) and 8.
104
Suppose 2*n = -0 + 4. Let r(s) = 2 + 3 - 4*s**n - s**3 - 35*s + 34*s. What is the lowest common multiple of r(-4) and 7?
63
Let h(o) = o**3 + 9*o**2 + 9*o - 5. What is the lowest common multiple of h(-7) and 30?
30
Suppose 21*c - 25*c + 168 = 0. Calculate the smallest common multiple of c and 63.
126
Let x be 2/(2/2 + 0). Let m be (-1)/2 - 207/(-18). Let a = m - x. What is the smallest common multiple of 1 and a?
9
Let p(n) = 15*n - 135. Let y be p(9). Suppose -4*m - m + t = 0, -4*t = 3*m + 23. Let i = y - m. What is the smallest common multiple of 7 and i?
7
Let r(y) = -y**2 + 5*y + 21. Let b be r(7). Suppose -3*j = -b*j + 4, -4*t - j = -13. What is the least common multiple of t and 18?
18
Suppose 4*y + 4 - 12 = 0. Suppose y + 2 = -2*n. Calculate the lowest common multiple of 6 and (4 - 2)*(-4)/n.
12
Let u = 2 - 3. What is the least common multiple of 8 + 2 - (7 + -11) and ((-36)/14)/(u/7)?
126
Suppose 4*i - 19 = 5*m - 0*m, -2*m - 1 = 5*i. Let r be i/(0 - (-1)/(-16)). What is the common denominator of -17/10 and 12/(-50)*170/r?
20
Let m = -12726/2761 + 16/251. What is the common denominator of -11/34 and m?
374
Let v = -233 - -243. Let m = -22 - -32. What is the lowest common multiple of v and m?
10
What is the least common multiple of 5*60/80*(-4)/(-1) and 51?
255
Suppose k + w - 14 = -4*k, 0 = 4*k + w - 11. Find the common denominator of 109/42 and (4/24)/((k/55)/(-3)).
42
Let s = 4/943879 - 10136316713/31148007. Let v = 979/3 + s. What is the common denominator of v and -32/7?
77
Suppose 0 = -0*o - 3*o + 48. Suppose 6 + o = 2*b. Calculate the least common multiple of 11 and b.
11
Let f(t) = 8*t - 13. Let a be f(6). Let k = -20 + a. Suppose 4*d + 3*l = -0*l + 55, 0 = -3*d + 3*l + k. What is the lowest common multiple of d and 12?
60
Suppos