?
30
Let z = -6 - -8. What is the smallest common multiple of -2 - -1 - (-10)/z and 10?
20
Suppose 0 = -5*s + 41 - 1. Calculate the lowest common multiple of s and 7.
56
Suppose -138 = -2*d + 2*p, 4*d + 0*p - 288 = -2*p. What is the common denominator of 49/6 and (-3)/6 + d/(-9)?
18
Let d(v) = -2*v**3 + 4*v**2 - 6. Let m(p) = -p**3 + 3*p**2 - 7. Let a(c) = 2*d(c) - 3*m(c). What is the lowest common multiple of a(0) and 10?
90
Find the common denominator of ((-34)/(-425))/((-1)/(-2 + -93)) and -10/73.
365
Let g be (-2 - 0) + 10 + -3. Suppose -22 = -4*n + 2*a, -2*n - g*a + 20 = 3*n. Calculate the smallest common multiple of n and 1 + 4*(3 - 1).
45
Let x = -2977769/12068 + -5/6034. Let q = 245 + x. Let r = -91 + 57. Calculate the common denominator of q and r.
4
Let v = -7706/5 - -1547. Find the common denominator of v and -29/5.
5
Suppose 0*m = -9*m + 45. What is the least common multiple of 2/(-3) + 34/6 and m?
5
Suppose 5*h - 12 - 3 = 0. Suppose 27 = 7*b - 5*b - 3*j, 0 = -b - 4*j - h. Calculate the lowest common multiple of b and 5.
45
Calculate the common denominator of -93/8 and ((-10)/(-45))/(2/87).
24
Calculate the common denominator of ((-1)/(-3) + 287/(-98))/(-1) and -5/2.
42
Let r be -1 - (1 + 2 + -7). Suppose r*u + 11 = n, -4*u + 7*u = 2*n - 7. What is the common denominator of -109/20 and 4/40*(-194)/n?
20
Let u = -93/76 + 4219/684. Calculate the common denominator of u and (-3)/(-9)*(-474)/(-4).
18
Let a = -11 - -22. Suppose 4*q + a = -21. What is the common denominator of 53/18 and (-41)/q*6/(-15)?
180
Let g = -1593 + 6279/4. Find the common denominator of 47/5 and g.
20
Let j = 35294 - 988335/28. What is the common denominator of 109/72 and j?
504
Let f(u) = u**2 - 2*u - 12. What is the smallest common multiple of f(5) and 3?
3
Let x(j) = -j**2 - 3*j - 1. Let u = -10 + 6. Let m be x(u). Let f(l) = l + 7. Calculate the lowest common multiple of 16 and f(m).
16
Calculate the least common multiple of (11 - -3)*(-6)/(-4) and 18.
126
Let k be (-25379)/6 - (-2)/(-2). Let b = k - -4207. Let m = 45907/10 - 4579. Calculate the common denominator of b and m.
30
Suppose 0 = -3*k - j + 6*j + 298, -4*k + 2*j = -388. Calculate the smallest common multiple of k and 14.
672
Let u = 1163/4 + -282. Find the common denominator of -1/7 and u.
28
Find the common denominator of (5 - 583/30) + 4/(-10) and 4/14 + (-1538)/(-252).
18
Let j = -167/7 - -33/14. What is the common denominator of j and 91/10?
10
Suppose -4*x - 9 = -3*k + x, 4*k = -3*x - 17. Let f be ((-2503)/(-7))/(k/12). Let u = 2153 + f. What is the common denominator of -63/4 and u?
28
Suppose -44 = -4*d - 4*u, 2*u - 16 = -3*d + 2*d. Let k = -8 - -13. Suppose -r = 3 - k. Calculate the smallest common multiple of d and r.
6
Let r = -22069/24 + 2771/3. Let t be 2/3 - (-107710)/(-12). Let i = -8951 - t. Find the common denominator of r and i.
24
Let t = 30781/2160 - 1/2160. Find the common denominator of 77/6 and t.
12
Let r = 1413/20 + -337/5. Let j = -2/477 + 2401/3816. What is the common denominator of j and r?
8
Let s(w) = -w**2 - 8*w - 7. Calculate the smallest common multiple of s(-6) and (2 - (-7)/2)*2.
55
Let z = -2/111 - 10969/1110. Calculate the common denominator of 75/4 and z.
20
Suppose 0 = -4*j + 5*j - 10. Calculate the smallest common multiple of ((-2)/(-5))/(1/25) and j.
10
Suppose -4*l + h - 3 = -4*h, l + 12 = 5*h. What is the smallest common multiple of 8 and l?
24
Let w(y) = y**2 - 6*y + 6. Let j be w(5). Suppose -3*o - j = -55. Suppose 0 = -5*t + 4*s - s + o, 0 = 5*s - 20. What is the lowest common multiple of t and 9?
18
Calculate the common denominator of -115/24 and (28/66)/((-1)/(12/8)).
264
Let v = 117173/10 + -11729. Let o = 5084057/151 - 33669. Let y = o + -9213/1208. What is the common denominator of y and v?
40
Let z = -1392 + 9727/7. Let a = -108/211 + 221498/431917. Let y = a - -137133/16376. What is the common denominator of y and z?
56
Let i = 624277/104 + 11295/52. Let x = i + -6228. Find the common denominator of 1029/(-594) - 2/9 and x.
88
What is the least common multiple of 1/(-2)*504/(-18) and 22?
154
Suppose b - 206 = 3*b - 2*t, 5*b - 4*t = -514. Find the common denominator of b/70 + (-2)/5 and 9/10.
70
Let b = 58 + -87. Find the common denominator of b and 43/39.
39
Suppose i - 4*c - 4 = -2*c, 27 = 5*i - 3*c. Calculate the smallest common multiple of 5 and i.
30
Let w be 2564/30*546/8. Let m = 5828 - w. What is the common denominator of 15/2 and m?
10
Suppose 26 - 8 = 2*b + 5*g, 0 = -4*b + 5*g + 36. Calculate the least common multiple of 7 and b.
63
Find the common denominator of 2214/(-546) + (-4)/(-14) and -57/7.
91
Let g be 3*(2 + (-63)/33). Let z = g + 599/22. Find the common denominator of z and ((-3)/9)/((-44)/(-654)).
22
Suppose -3*i + 55 = i - a, -3*i - 4*a = -46. What is the lowest common multiple of i and 86?
602
Suppose -4 = -2*d + 4. What is the smallest common multiple of d and 3?
12
Suppose 0 = 3*k - 4 - 8. What is the smallest common multiple of 3 and k?
12
Let a(t) = t**2 + 4*t. Let s be a(-4). Let j be s/(-1)*(-3)/6. Find the common denominator of 7/4 and j + (2 - (-86)/28).
28
What is the common denominator of (-189)/(-66) - (-2)/2 and (6/20)/((-4)/30)?
44
Suppose 2*c - 15 - 9 = 0. Suppose 2*d - 37 - 3 = 0. Calculate the least common multiple of d and c.
60
Let z be -3*(-2 + (-15)/(-9)). Let r be 103042/48 + z/(-3). Let v = -2158 + r. What is the common denominator of v and 33/4?
8
Let t = -17 - -23. Calculate the smallest common multiple of t and 4.
12
What is the lowest common multiple of ((-120)/135)/(4/(-18)) and 8?
8
Let m = -38341/22 + 1741. Find the common denominator of m and 35/6.
66
Suppose 0 = -4*c + 2*c + 44. What is the lowest common multiple of c and 10?
110
Let s = 4 + -3. Let t be 753/(-15) - s/(-5). Let m = t + 72. What is the smallest common multiple of 22 and m?
22
Suppose -2*u + 2*d = -15 + 3, -8 = 2*d. Let r(l) = l**3 + 4*l**2 + 2*l + 1. Calculate the smallest common multiple of r(-3) and u.
4
Let c(a) = a + 2. Let b be c(-7). Let d be b/(-1123*(2 + 0)). Let r = d + 79693/17968. Calculate the common denominator of r and 13/4.
16
What is the common denominator of (4 + 106/4)/8 and (1/8)/((-1)/(-101))?
16
Let s = -6799/6 - -1116. Let q = -327/20 - 3/20. Calculate the common denominator of q and s.
6
Let u = -69 - -85. Calculate the least common multiple of 28 and u.
112
Find the common denominator of -49/33 and ((-1)/4)/(-9*8/(-1056)).
33
Let i = 234/3271 - 23949188/334685449. Let r = i + -144269756/1739423. Let n = r + 10721/102. What is the common denominator of 7/4 and n?
12
Let x be (-11)/55*(349/4 + -1). Let i be (-87)/(-12) + (-4)/6. Let k = i - x. Calculate the common denominator of k and 119/20.
60
Let n(y) = -y - 1. Let c be n(-2). Let k be 12/1 + c - 1. Find the common denominator of (-5)/k*(-146)/15 and -9/10.
90
Let k(z) = -321*z - 3. Let a be k(6). Let f be 1 + (a/6)/(-1). Let p = f - 289. Calculate the common denominator of p and 49/8.
8
Let k = 5 + 3. Let q = k - 4. Suppose g - 1 = 9. Calculate the smallest common multiple of g and q.
20
Let h = 2/5733 - 124217/5733. Calculate the common denominator of h and -25/11.
33
Let s(f) = -f - 2. Let o be s(-3). What is the common denominator of (-26 - -1) + (1 - o) and 1/6?
6
Let j = 0 - -9. What is the lowest common multiple of 6*1/2 - 1*-1 and j?
36
Let b(c) = c**2 - 16*c + 18. Let u be b(13). Suppose x - 4 = -1. Calculate the least common multiple of 8 and u/x*12/(-14).
24
Suppose 48 = -2*c + 6*c - 3*z, 0 = -5*c + 2*z + 67. Calculate the smallest common multiple of 36 and c.
180
Let l = -1500 + 2543. What is the common denominator of -5/8 and (l/56)/((-18)/8)?
72
Let n(f) = f**3 + 5*f**2 - 3*f + 3. What is the least common multiple of 2 and n(-5)?
18
Let j = -65238645443/1905 + 34246006. Let u = 5/762 + j. Let a = -9973/11 - -904. Calculate the common denominator of u and a.
110
Let i(v) = 4*v - 8. Let w be i(7). Let t = 2160 - 8573/4. What is the common denominator of (-2)/(-2) - (-77)/w and t?
20
Let n = 6179/4829 - 3/439. Let y = -689/2 + 359. Find the common denominator of n and y.
22
Let m = 4 + -6. Let h = m + 7. Suppose 0 = -j + 2*l - 5*l - 3, h*j = -2*l + 11. What is the lowest common multiple of j and 11?
33
Let v = -37 + 52. Suppose -3*y + 0*y 