209/18 + -11/9. Calculate the common denominator of 2/(-7) + (-996)/(-105) and k.
30
Let c = -3044023/6 + 509278. Let j = 1928 - c. Calculate the common denominator of j and 109/6.
6
Let x(b) = b**3 - 9*b**2 + 12*b. Let m be x(8). Suppose j - m = 4*n, n + 15 + 26 = 3*j. Let q = j - 2. What is the smallest common multiple of 4 and q?
20
Let t(j) = 11*j - 4. Calculate the least common multiple of t(2) and 16.
144
Let h = 15/203 - -3001/6090. Find the common denominator of 55/14 and h.
210
Suppose j = 4*j - 3*y + 6, 5 = -5*j + 4*y. What is the common denominator of 2 + -47*1/(-10) and (j/(-1))/((-24)/57)?
40
Let w = 97 + -93. What is the smallest common multiple of 4 and w?
4
Let y be (((-10)/(-41))/2)/(-7). Let a = -12079/1435 - y. Calculate the common denominator of a and 28.
5
Suppose 0 = 2*c - 5*t + 47, 72 = -5*c - t - 113. Calculate the common denominator of c and (-176)/(-9)*(-1)/(-4).
9
Let d = -46 - 10. Let j = -38 - d. What is the least common multiple of 10 + -3*((-16)/(-12) + 0) and j?
18
Let g = -1 - -19. Let k(n) = n**3 + 2*n**2 + 4*n - 10. What is the least common multiple of k(2) and g?
126
Let o = -8752 - -61618/9. Let p = -1898 - o. Calculate the common denominator of p and -5/9.
9
Let x = 2/5961 - 40405/7948. What is the common denominator of x and -61/20?
60
Suppose 0 = -4*a - n + 53, 2*a - 5*n + 1 = -0. Suppose 2*l + 38 = 5*w, 0 = 4*w - l - l - 30. What is the least common multiple of w and a?
24
Suppose 2*i - 2*k - 56 = -2*i, 0 = -4*k. Let n be i + (6 - 9/3). Suppose n - 3 = u. What is the smallest common multiple of u and 12?
84
Suppose 3*q - 30 = -3*o, 3*o - 9 = 2*q + 11. Find the common denominator of (-2)/o + (-52)/6 and 61/2.
12
Let m = 7 - 2. Calculate the lowest common multiple of m and 6.
30
What is the lowest common multiple of (1/(-3))/(2/(-42)) and 11?
77
Suppose -3*d - 3*d = 150. Calculate the common denominator of 40/11 and d.
11
Suppose -c = u + 3*u - 12, 12 = -4*u + 5*c. Let w = 4 - u. What is the least common multiple of 16 and w?
16
Suppose 82 = -6*v + 250. Calculate the smallest common multiple of 36 and v.
252
Let v = 31 - 20. What is the least common multiple of v and 4?
44
Let o = -13 - -21. Suppose -o*p = -9*p + 8. Suppose 0 = -t + 4*q - 2, 0 = -2*t - 7*q + 2*q + 35. Calculate the lowest common multiple of p and t.
40
Let y = -10 - -20. Let s(t) = t**2 - 15*t + 2. What is the smallest common multiple of y and s(15)?
10
Let f = 14 - 12. Let o = 6 - f. What is the lowest common multiple of 10 and o?
20
Suppose 0*s - 2*s = -4. Calculate the common denominator of 5/(-45) + s + -1 and -1*2/16*-61.
72
Calculate the common denominator of -1 + 17*4/(-80) and 2/8 + 645/100.
20
What is the common denominator of ((-623)/(-6))/7 - 2 and -54/7?
42
Let f = -8574/11 - -777. What is the common denominator of f and (-3)/(-27)*1*33?
33
Suppose -2*c = -4*t - 8, -4*c + 4*t - 7 + 31 = 0. What is the least common multiple of 36 and c?
72
What is the common denominator of 47/3 and 803/55*(-10)/(-16)?
24
Suppose -2*x = 2*x + 8. Let g be (x/1 - -1) + 0. Calculate the common denominator of 61/20 and g/15*(-870)/12.
60
Suppose -5*h = 3*u - 2*u + 6, 5*u = -4*h - 9. Calculate the common denominator of (-11)/((-484)/(-24)) - u and -121/10.
110
What is the common denominator of (-3 + 45/16)*92 and ((-3)/(-15))/(1/(-4))?
20
Let h = 7 - 13. Suppose -c + 16 = 3*c, -2*o + c + 6 = 0. Calculate the lowest common multiple of 8 and (h/o)/(9/(-30)).
8
Let l(q) = -52*q - 1. Let o be l(-1). Suppose -3*v + 14 = -4*s + o, -5 = -2*s - 3*v. What is the smallest common multiple of 3 and s?
21
Let b = 1543/9 - 523/3. Calculate the common denominator of b and 169/30.
90
Let z = 29 + -13. Find the common denominator of -69/10 and 460/(-54)*(-12)/z.
90
Suppose -24 = 5*j - 5*c + 16, -4*j - 2*c - 44 = 0. Calculate the lowest common multiple of 75/6*(-8)/j and 5.
10
Let q = 0 + 5. Suppose q*n = 25, -h - 2*n = h - 12. Suppose 2*s - 31 = h. What is the least common multiple of s and 22?
176
Let m = -130337/10 + 13044. Let u = 1240/7 - 6452/35. Find the common denominator of m and u.
10
Let c(p) = -p**3 - 4*p**2 + p + 5. What is the least common multiple of c(-4) and 10?
10
Let d = -6/1927 + 152449/69372. Calculate the common denominator of -3/2 and d.
36
Let k be 3 - (1689/396 + -1). Let o = 419/66 + k. What is the common denominator of o and 21/16?
48
Let x = 5 + -2. What is the common denominator of 1*1/x*-7 and -11/3?
3
Let i be (126667/(-698) + -3)/(-45). Let u = 14195/4 + -44586487/12564. Let d = u + i. Find the common denominator of -18 and d.
10
Let c = 30 - 19. Suppose -4 = -5*y - 4*u + 3, -3*u = -4*y + 18. What is the smallest common multiple of y and c?
33
Let w = 2591/70 - 180/7. Calculate the common denominator of 23/14 and w.
70
Let c = -2 - -2. Suppose 0*g - 3*g + 28 = 4*z, c = -2*g + 4*z + 12. Suppose 0 = -2*f + 4*f - 36. What is the least common multiple of g and f?
72
Suppose -f + 5*x = -0*f - 49, 0 = 4*x + 20. What is the common denominator of ((-156)/(-40))/(f/(-10)) and 22/3?
24
Let t(q) = -q**3 - 2*q - 1. Let l be t(-3). Suppose -2*g = -3*d - 7 - 11, -4*g + l = -4*d. Calculate the least common multiple of g and 22 + -24 + (1 + 0 - -6).
30
Calculate the smallest common multiple of (2 - 3)/((-1)/10) and 40.
40
Let q = -1944 + 19423/10. Let j = 89/5 - q. What is the common denominator of 59/16 and j?
16
Let o = 11650/6369 - 84/193. Calculate the common denominator of 13/18 and o.
198
Suppose 0 = n - 5*r - 31, -6*r = -2*r + 20. What is the smallest common multiple of n and 3?
6
Let a be -5 - -1 - -2 - 9. Let x = a + 15. Calculate the least common multiple of x and 4.
4
Let d = -952615 + 10470227/11. Let l = 777 + d. Let y = -3341/6 + 555. What is the common denominator of y and l?
66
Let x = -7 + 12. Suppose -5*w + 4*r + x + 1 = 0, 0 = -w + 2*r. Suppose w*b - 2 = 2. What is the least common multiple of b and 4?
4
Let t(f) = 4*f**2 + 3*f - 1. Calculate the least common multiple of 8 and t(1).
24
What is the common denominator of 80/33 and (6 - 16/2)/(48/122)?
132
Suppose 3*o = -2*o. Suppose -3*n - n - 120 = o. Find the common denominator of (-17)/n - 4/10 and -39/7.
42
Let h = -1/493 - 9359/3944. Calculate the common denominator of h and -1 - 23/5 - 0.
40
Let k(i) = 4*i - 3. Let v(w) = 3*w - 4. Let j(h) = -5*k(h) + 4*v(h). Let u be j(7). Find the common denominator of 29/12 and (u/30)/((-2)/25).
12
Suppose 3*r = 59 + 1. Let k = 10 + -2. What is the smallest common multiple of r and k?
40
Let h(p) = -2*p**2 - 3*p - 2. Let x be h(-2). What is the common denominator of (-1 - 142/x) + 1 and -109/6?
6
Let q = 6 - 2. Suppose -5*b = -3*b - q. Calculate the smallest common multiple of 9 and b.
18
Let y(s) be the first derivative of -s**3/3 + 7*s**2/2 - 5*s + 2. Let w be y(6). Find the common denominator of 244/56 + -2*w and -85/8.
56
Find the common denominator of (105/12 - -3) + 2/4 and -103/34.
68
Let r = -7852578/239 + 18537909215/564518. Let m = -2/1181 - r. Calculate the common denominator of (-124)/(-42) - 6/21 and m.
6
Suppose 0 = -n + 12 - 10. What is the least common multiple of n and 7?
14
Let i(n) = -2*n - 12. Let u be i(-10). Let h = 1328/45 - 187/5. Calculate the common denominator of h and (u/84)/1*-36.
63
Suppose 3*w - o - 17 = 0, 2 - 43 = -4*w + 5*o. Suppose -w*h - 4 = -0*h. What is the least common multiple of h - (2 - 8 - 1) and 7?
42
Let c be (-9 - 1)*(-1)/(-2). Let o = -3 - c. Calculate the smallest common multiple of 4/((-1 + o)/2) and 4.
8
Let u = -10961/88 + 1234/11. Find the common denominator of u and 25/18.
72
Let d = 18519/1970 - 138/197. Find the common denominator of 37/13 and d.
130
Let w(q) = 4*q**2 + 1. Let v be w(-1). Suppose -v*f + 3*b = 4*b + 3, 5*b + 15 = 2*f. Calculate the lowest common multiple of f + (0 - 1 - -7) and 9.
18
Let o = -326327/12924 - 1/3231. What is the common denominator of o and 498/4*2/24?
8
Let m(v) = -v + 15. Let y be m(7). Let r(o) = o - 8*o - 3*o**3 + 2*o**3 - y*o**2 + 8. What is the smallest common multiple of 22 and r(-7)?
88
Calculate the common denominator of (-50)/148*456/120 and 59/14.
518
Suppose 0 = 6*n + n - 294. Calculate the smallest common multiple of 10 and n.
210
Let c = -6589/14 - -469. What is the common denominator of (1 - (-36)/(-32))/(2/(-108)) and c?
28
Calculate the c