
Let b = 1 - 3. Let y be 2 + 271911/46896 + b. Let x = -14/977 - y. What is the common denominator of x and 53/14?
112
Let j be (-294)/10 + 4/10. Let d = -21 - j. Calculate the smallest common multiple of d and 5.
40
Let a = 1/768 - 13955/2304. Let q = 2721/500 - 174/125. Calculate the common denominator of q and a.
180
Suppose -5*z + 384 = -2*g, 4*g - 402 = -5*z - 0*g. Let p = z + -54. Calculate the common denominator of 13/11 and (-3)/(-3)*p/11.
11
Let b be (-69)/(-4) + 1/(-4). Suppose -2*t + m + 74 = 3*m, -t - 5*m = -29. Let g = t - b. Calculate the smallest common multiple of 20 and g.
220
Let v(g) = -g**2 + 9*g - 5. Let q be v(5). What is the lowest common multiple of 4 and ((-2)/(-6))/(1/q)?
20
Suppose -4 = -3*y + 14. Let p(v) = 9*v**3 - v - 1. What is the common denominator of p(-1) and (-2 + 6)/(-2) - y?
1
Suppose -6 = 2*r - 22. Suppose -4*k + 366 = 3*n, 3*n + 73 - 259 = -2*k. Suppose -q = -6*q + k. What is the lowest common multiple of r and q?
72
Find the common denominator of 57/8 and -2 - 20 - (4 + -3).
8
Let c(j) = 9*j**3 - 1. Let m = 12 - 11. Calculate the least common multiple of 0 - (-1 + -10 + 0) and c(m).
88
What is the common denominator of 101/30 and 3 - 9/4 - 831/36?
30
Suppose -b - 5*a + 15 = 0, a = -b + 3*a - 6. Let l = b + 7. Calculate the least common multiple of (-3)/4*-4 + -1 and l.
14
Let j(l) = l**2 - 9*l + 29. Calculate the lowest common multiple of 7 and j(6).
77
Suppose 3*k - 12 = -0*k. Let b = -48 + 68. Calculate the least common multiple of k and b.
20
Let d(h) = -h**3 - 3*h**2 + 5*h + 4. Let x be d(-4). Suppose 5*a + 37 - 13 = n, 3*n - a - 44 = x. What is the lowest common multiple of 4 and n?
28
Suppose 0*m = 2*m - 32. Suppose 2*f + 8 = 4*f. Calculate the least common multiple of m and f.
16
What is the common denominator of (3/6)/(1/31) and 3/4?
4
Suppose 2*c - l + 31 = 0, 4*c + 5*l + 0*l + 27 = 0. Let w be (-1116)/13 + 2/c. Calculate the common denominator of 59/9 and ((-2)/4)/((-4)/w).
36
Suppose -q + 6*q + 120 = 0. Let s be ((114822/(-87))/3)/q. Let p = 7/87 - s. What is the common denominator of p and -5/7?
28
Let j = 116449/20 - 5819. Let p = -477/140 - j. Calculate the common denominator of p and 30/8*2/(-9).
42
Let s(p) = p**2 + 2*p - 3. Let t be s(-5). Suppose -2*i + t - 30 = 0. Calculate the common denominator of (29/(-6))/(1/i) and -36/5.
10
Suppose 5*i = -2*j + 15 + 1, 2*i + 62 = 3*j. What is the least common multiple of j and 6?
18
Let a = 53353/8 + -6659. Calculate the common denominator of (1 - 7)*54/40 and a.
40
Calculate the common denominator of -107/22 and ((-45)/12 - -4)*17.
44
Calculate the common denominator of 49/10 and 6 - 3 - 18/(-10).
10
Suppose 0 = -5*g - 92 + 112. Let u = 431868080685/1631 - 264787288. Let p = 30/233 - u. Find the common denominator of p and g.
7
Suppose 2*n = 4*n. What is the smallest common multiple of 6 and 3 + -2 + 10 - n?
66
Suppose 506 - 86 = 7*o. Calculate the least common multiple of 20 and o.
60
Let v(a) = -a**3 + 3*a**2 + 5*a - 2. Let i be v(4). Suppose -w = -2*w - 2*l + 22, -3*w = i*l - 58. What is the least common multiple of 20 and w?
180
Calculate the common denominator of 4/(-8)*(-94)/4 and 43/8.
8
Let z be ((-1)/2)/(9/18). Calculate the lowest common multiple of 11 and z/2*2 + 3.
22
Suppose -14 = -2*o - 2*t, -5*o + 32 = t + 3*t. Suppose 5*f - 13 = -o*z, -4*f = 4*z - 0*z - 16. Calculate the smallest common multiple of 5 and z.
35
Find the common denominator of 29/14 and 2 + -3 + 110/28.
14
What is the smallest common multiple of (1/2 + 0)*4 and 14?
14
Calculate the common denominator of -149/6 and (-1185)/30*2/48.
48
Let r = -4/149 - 1313/1043. What is the common denominator of r and 6?
7
Let v = -1198800/469 - -2602586141/1021482. Let a = -7/720 + 727/87120. Let z = v - a. What is the common denominator of -74/3 and z?
9
Let h = -64353/10210 - -3/1021. Find the common denominator of h and -32/3.
30
Suppose -8*s = -6*s - 2468. Let g = -4891/4 + s. Let v = -94/49 + -18/49. Calculate the common denominator of g and v.
28
Let k = -53272/33 + 1614. Calculate the common denominator of -151/24 and k.
264
Let s = -9477/4 - -2391. What is the common denominator of 23/10 and s?
20
Let k(j) = -j + 4. Let s be k(2). Suppose -s*b = -z + 32, -3*z + z + 2*b = -54. What is the least common multiple of z and 7?
154
Let z = 7611/2 + -3932. Let p = -181 + 66. Let f = p - z. Calculate the common denominator of f and -17/6.
6
Suppose o = -3*o - 84. Let l be (2/(-6))/(1/o). Suppose -t = -19 + l. What is the smallest common multiple of 4 and t?
12
Suppose -2*a - 2*a - 33 = -3*w, -3*a - 9 = 3*w. Find the common denominator of ((616/(-18))/(-2))/(-4) and a/(-15) - 40/32.
180
Let p be -3*1 + 2 + -2. What is the lowest common multiple of 18 and (14/p)/((-1)/3)?
126
Let x = -3801305/74448 - -7147/1584. Let f = x + 9/188. Let d = 48/185 - -7269/4070. Calculate the common denominator of d and f.
22
Suppose -1 = -x + 9. What is the lowest common multiple of 5 and x?
10
Let g(h) = -h**3 + 8*h**2 + 9*h + 8. Calculate the smallest common multiple of g(9) and 4.
8
Let i(v) = v**2 + 7*v - 8. Let a be i(-10). Let n = a - 16. What is the smallest common multiple of (-33)/(-4) + (-1)/4 and n?
24
Let z(s) = -s**2 + 8*s + 4. Suppose 0 = -0*a + 2*a - 4. What is the least common multiple of a and z(7)?
22
Let j = -4/12333217 + 1172876603555/221997906. Let b = j - 5280. Calculate the common denominator of 1*-2 + (-71)/(-6) and b.
18
Let r be (-1)/(-4) + 49/28. Suppose o - r*o = -4. Suppose -o*z + 5 = -3*z. Calculate the least common multiple of 5 and z.
5
Let t(x) = -3*x**2 + 5*x + 1. Let i be t(4). Let y(s) = -2*s + 4. What is the lowest common multiple of y(-4) and (-16)/(-6)*i/(-6)?
12
What is the least common multiple of 4 and (9 + 5)/(4 - 2)?
28
What is the common denominator of (-4 - -1) + (-5)/35 and (-45)/7 - (-6)/(-21)?
7
Let m(s) be the second derivative of s**4/12 + s**3/6 + s**2 + 2*s. Let j be m(0). What is the common denominator of -7/6 and (67/(-15))/(j/3)?
30
Suppose 4 = -k - 5. Let o = 15 + k. What is the common denominator of ((-1)/o)/((-1)/(-41)) and 13?
6
Suppose -2*y + 9 = -19. What is the smallest common multiple of 14 and y?
14
Let l(o) = -o**3 + 9*o**2 - 18*o + 8. Calculate the smallest common multiple of 9 and l(6).
72
Let d(z) = -z**3 - 3*z**2 - 4*z + 1. Let i be d(-3). Suppose 4*r + i = 69. Suppose -40 = -0*x - 2*x. Calculate the smallest common multiple of r and x.
140
Suppose 3*w + w = -76. Let n = -27 - w. Find the common denominator of ((-524)/18)/(n/6) and 53/2.
6
Let g = 508 + 122. Let v = 3136/5 - g. Calculate the common denominator of v and -41/10.
10
Let d = -613 - -325. Calculate the common denominator of 1/(-3) - 726/d and 17/14.
112
Suppose 3 = -6*v + 21. Calculate the lowest common multiple of v and 39.
39
Let i(w) = -w - 5. Let s be i(-5). Suppose 3*j + 0*j - 9 = s. Calculate the least common multiple of j and 2.
6
Calculate the lowest common multiple of (-1)/4 - 287/(-28) and 4.
20
Let z = -5795 + 52291/9. Let d = 1441/90 - z. Let p = d - 254/35. What is the common denominator of p and 63/4?
28
Let h = 49 + 19. What is the least common multiple of h and 8?
136
Let c be 3434/6 - (-8)/12. Let z = c + -1245/2. Find the common denominator of -37/3 and z.
6
Calculate the common denominator of -85/2 and (-74)/(-5) - (-2 - -6).
10
Let i be (21/(-30))/7*16681. Let v = i - -1675. Calculate the common denominator of v and 109/12.
60
Suppose 35 = -3*m - 16. Let v be 1 + -4 + 3 + m. Let y = -6 - v. Calculate the lowest common multiple of y and 10.
110
Let h = -16 + 26. Let d(o) = 6*o**2 + o. Calculate the lowest common multiple of d(-2) and h.
110
Let z = -2418 - -50843/21. Find the common denominator of z and 25/6.
42
Let b be ((-14)/5)/((-1)/85). Let j = b + -82. Let y = j + -621/4. What is the common denominator of y and 119/12?
12
Find the common denominator of 2/(-7) + 990/(-112) and -21/8.
8
Suppose -4 = -4*l - 0*l. Let i be 2/1 + (-1 - l). Suppose i = -5*r - 0*r + 55. What is the smallest common multiple of 1 and r?
11
Suppose 5*x + n + 2*n = 71, -3*x - 5*n + 33 = 0. Suppose 5*d - 70 = -2*q, d + 4*q + 1 = 15. Calculate the least common multiple of x and d.
112
Let o(f) = -f**3 + 4*f**2 + 6*f - 2. Let r be o(5). Calculate the least common multiple of 