). Suppose -4*a = -x*a + 1. What is the common denominator of 61/6 and ((-267)/21)/(a + -1)?
42
Let n(t) = -3*t - 17. Calculate the smallest common multiple of 25 and n(-7).
100
Suppose 2*s = -0*s + 8. Let i be 6/s*304/12. Suppose v + i = 3*f, -15 = 3*f - 3*v - 57. Calculate the least common multiple of 4 and f.
12
Suppose 29382 = -3*j + 10188. Let v = 38249/6 + j. Find the common denominator of v and 57/8.
24
Let d = -307888513355/428654 - -56746620/79. Let c = -2/2713 + d. Find the common denominator of ((-5)/1)/(10/(-45)) and c.
2
Suppose 2 = -j - 0*k + k, 0 = 2*j + 4*k - 20. Suppose -5*m - 3*n + 23 = 0, n + j + 9 = 3*m. Calculate the smallest common multiple of 4 and m.
4
Suppose -3*d - 18 = -5*r + 5, -4*r = -4. Let z = d + 20. Let f(g) = 3*g**2 + 3*g + 4. Calculate the lowest common multiple of z and f(-3).
154
Let p = 12772 + -1979678/155. Let g = -201/31 + p. Calculate the common denominator of g and 125/6.
30
Suppose 30 = i + 3*c, 2*i - 11 = -3*c + 49. What is the lowest common multiple of 20 and i?
60
Suppose -s + 4 + 6 = 0. Let n(z) = -5*z + z + 2*z - 15 + 0*z. Calculate the least common multiple of s and n(-11).
70
Let n(s) = s**3 + 5*s**2 - 5*s + 6. Let m be n(-6). Suppose q + 0*q - 2 = m. What is the lowest common multiple of 7 and q?
14
Let f = -417 - -1857/5. Let i = -38 - f. Calculate the common denominator of (5 - 4)*(-26)/14 and i.
35
Let r be 24/7 - (-3)/(-7). Suppose 5*p - 3*k = 116, -4*p + 3*p + r*k + 28 = 0. Calculate the least common multiple of p and 20.
220
Let y = 2066 + -20747/10. Find the common denominator of 39/10 and y.
10
Suppose -t + 25 = -7. Suppose 3*r = -5 + t. Calculate the lowest common multiple of r and 7.
63
Suppose -5*x + 4*x - 1 = 0. What is the common denominator of 25 and x*((-32)/(-10) - 1)?
5
Suppose -b = -5*t + 27, 5*t - 5 = -4*b + 37. Calculate the lowest common multiple of 16 and t.
48
Let c = -603/62 - -38/31. What is the common denominator of 19 + -20 - 25/4 and c?
4
Find the common denominator of (-139)/3*(-1)/(-2) and 20/27.
54
Let f be (3/6 + -1)*-10. Suppose t = 4, -s + 10 = -3*t + f*t. What is the lowest common multiple of 2 and s?
2
Let k = 20 + -9. Calculate the smallest common multiple of k and (17 - -1)*(-3)/(-9).
66
What is the common denominator of 2 + 0 + (-327)/81 and 53/69?
621
Suppose 3 = -3*v + 18. Calculate the common denominator of ((-126)/(-15))/((-32)/(-60)) and (1 - (-16)/v) + 1.
20
Let p = -4 + 4. What is the common denominator of 27/10 and 132/(-56) - (p + 0)?
70
Let w be (2 - -3)*(2 - 0). What is the common denominator of -47/8 and ((-43)/2)/(w/(-10))?
8
Suppose -3*u - 4 = -10. Let o = u - 0. Calculate the smallest common multiple of o and 16.
16
Let i(b) = b + 7. What is the least common multiple of 18 and i(5)?
36
Let f = 11 - 14. Find the common denominator of 111/20 and (f/(-4))/(168/304).
140
Suppose -c - 5*g - 10 = 0, -48 = -2*c - 2*c + 2*g. Let f = 9 + -5. Let v = 6 - f. Calculate the least common multiple of v and c.
10
Let t be 2*2 - (-2 + 3). Suppose 51 = t*f + 3*z, -48 - 44 = -4*f + 4*z. Calculate the lowest common multiple of f and 20.
20
Let p be (-111)/(-21) - 6/21. Suppose -2*t = -p*t + 54. What is the lowest common multiple of t and 2/(10/(-12) - -1)?
36
Calculate the common denominator of 3/((48/(-58))/(-3)) and 53/30.
120
Suppose 99 = 5*s - 8*s. Let v = 32 - 22. What is the smallest common multiple of v and s*((-8)/(-3))/(-4)?
110
Let l = -33 + 53. Calculate the lowest common multiple of 8 and l.
40
Suppose d + g = -9 + 1, 5*d - 2*g + 12 = 0. Let j = 6 + d. Suppose -4*l = 4*v - 28, 3 = -3*v + 3*l + j*l. What is the lowest common multiple of 8 and v?
8
Suppose 0*b + b - 4 = 0. Suppose -5*c = -b*t - 2, -2*t - 2*t + 12 = 2*c. Calculate the smallest common multiple of ((-21)/(-9))/(2/6) and t.
14
Let d be (-2)/2*(0 + -2). Let b(g) = g**3 - 2*g**2 + 3*g. Suppose -r + 4 = -3. Calculate the lowest common multiple of b(d) and r.
42
Suppose -4*x - 19 = -5*j + 31, 4*j - 39 = 3*x. Calculate the smallest common multiple of 24 and j.
24
Suppose 3*l + 4*v = 26, -5*l - 15 = -5*v - 0*v. Let b = 116 - 106. Calculate the least common multiple of l and b.
10
Let o be 2505/(-123)*(-4)/(-12). Let r = o + -36/41. What is the common denominator of -29/9 and r?
9
Let q = -4502 - -27113/6. Find the common denominator of -71/10 and q.
30
Suppose 4*k = 7*k - 21. What is the smallest common multiple of 13 and k?
91
Let i(o) = 10*o**2. Suppose -2*k + c = -6, -5*k - 6*c = -c. Suppose -3*l - 4 = -4*q + k, 5*l = 10. Calculate the least common multiple of q and i(-1).
30
Suppose 17 = -0*l + 3*l + 4*q, 0 = 2*l - 4*q - 18. What is the lowest common multiple of -3 + 13 + (0 - 0) and l?
70
Let o be (-41)/3 - 10/(-15). Let w = -11 - o. Calculate the least common multiple of w and 20.
20
Suppose w = 4*f - 7, 0 = 6*f - 2*f + 5*w - 37. What is the lowest common multiple of 8 and f?
24
Let l = -17 + -5. Let q = -14 - l. Calculate the least common multiple of q and 20.
40
Let b(l) = -2*l - 10. What is the lowest common multiple of b(-10) and 64?
320
Suppose 0 = i + 2*b + 3*b - 27, -4*i + 93 = 5*b. Let c(x) = x**2 - 3*x - 6. What is the least common multiple of i and c(6)?
132
Let i = 13911/4 + -3502. What is the common denominator of i and 101/44?
44
Let q = 200 - 791/4. Calculate the common denominator of q and 9/2.
4
Suppose 0 = 4*q + 15 + 5. Let w = q - -21. What is the lowest common multiple of 4 and w?
16
Suppose -20 = -32*m + 31*m. Let f(u) = u**2 + 3*u. What is the least common multiple of f(-6) and m?
180
Let m(j) = -j**3 + 4*j**2 + 5*j + 3. Calculate the smallest common multiple of m(5) and 3.
3
Suppose 0 = 4*b - 2*p - 168, 0 = -2*b - 3*p + 57 + 11. What is the common denominator of -71/4 and ((-218)/(-14))/(b/(-28))?
20
Let w = -5910 + 135903/23. Let l = -316171457/276 + 1145539. Let r = w - l. Calculate the common denominator of r and -55/4.
12
Let i be ((-18)/8)/(18/192). What is the common denominator of -29/11 and (118/5)/(i/(-15))?
44
Let v(h) = 42*h**2 - 2*h + 3. Let b be v(-5). Suppose 0 = -4*d - 323 + b. Find the common denominator of (0 + -1)*d/(-110) and 11/20.
220
Let s(x) = x**3 + x**2 + 4. Suppose -m = 2*m. Calculate the smallest common multiple of s(m) and (2 - 8)*(-4)/3.
8
Suppose -4*z + u = 28, z - 4*z = -3*u + 30. Find the common denominator of -121/6 and (39/988)/(z/196).
114
Calculate the common denominator of (1 - (-17)/(-2))*3/30 and -67/36.
36
Find the common denominator of -3 - -97*2/4 and (-1)/(-8)*(-23 + 1).
4
Let t(x) = x + 24. Calculate the smallest common multiple of t(-16) and 10.
40
Let m be ((-6418)/(-21))/((-24)/(-18)). Let p = m + -1654/7. Find the common denominator of 4/6*414/(-8) and p.
14
Suppose -6 + 0 = 3*m. What is the least common multiple of 10 and (m - 4)*(-2)/3?
20
What is the common denominator of (-4)/(-10)*(-1715)/(-28) and 55/8?
8
Suppose -y = y - 44. Suppose 0 = -4*p + 17 + 47. Suppose -n + p = -2. What is the least common multiple of y and n?
198
What is the least common multiple of 15/2*(-3)/(45/(-20)) and 2/(-1) - (-23 - -3)?
90
Let t(x) = -x + 2. Let u be t(-7). What is the least common multiple of (4/(-10))/(u/(-495)) and 20?
220
What is the common denominator of (-8)/28 + 1069/42 and -97/4?
12
Let n(v) = v**2 - 6*v - 5. Let g be n(8). Let m = -15 - -27. Find the common denominator of -17/10 and g/m - (1 - 0).
60
Let q = -109/4 - -17. Calculate the common denominator of 125/12 and q.
12
Let b = 9274 - 17985/2. Let i = 273 - b. Calculate the common denominator of i and -61/10.
10
Calculate the smallest common multiple of 6 and -1 + 30/3 - (2 - 1).
24
Let a(u) = u - 3. Let v be a(6). Find the common denominator of (3/(-7))/(v/(-4)) and 4 - 4/18*11.
63
Let m(y) = 8*y**2 + 3*y + 2. Let n be m(-1). Suppose 5*h - n = 28. What is the smallest common multiple of 2 and h?
14
Let w = -5319 - -53233/10. Find the common denominator of 909/36 + 3/(-4) and w.
10
Let v(l) = -l + 14. Suppose 2 - 24 = -2*z. Let p be v(z). Suppose d - 6*d = -5*x + 70, -p*x + 10 = 5*d. Calculate the lowest common multiple of 11 and x.
110
Let l = 2/313 + -4113/6886. Calculate the common denominator of l and -11/16.
176
What is the common denominator of -35/12 and (-6)/21 + 452/(-56)?
84
Suppose 5*b - 66 = -3*o, 4*b + 4*o - 9*o = 38. What is the lowest common mul