
9
Let c = -6073 + 121357/20. What is the common denominator of c and -55/2?
20
Suppose 5*q - 2*m - m + 62 = 0, 3*q - 3*m = -42. Calculate the common denominator of -54/7 and q/75 + (-397)/60.
28
Find the common denominator of 152/40*(-5)/4 and 73/22.
44
Let v be (-6 - -10) + (-3005)/4. Let m = v - -6075/8. What is the common denominator of -4 + 3 + (-101)/(-4) and m?
8
Let a = 58361/12 + -4856. Find the common denominator of a and (-260)/(-16)*(-2)/(-40).
48
Let g = 75 - 65. Let b(c) = 2*c + 5. Let l be b(-4). What is the least common multiple of g and 6/1*(-1)/l?
10
Let b = 10 - 29. Let w be 1 + -2 - 1 - 326/(-16). Let c = w + b. Calculate the common denominator of 28 and c.
8
Find the common denominator of 268/(-30) - (-2)/6 and (-360)/(-15)*(-3)/28.
35
Let q = 2 - 5. Suppose 3*c - 11 = 1. What is the least common multiple of c and (-32)/(-3) - (-2)/q?
20
Suppose -2*i - 3 = -17. Let t = 1 + i. Calculate the smallest common multiple of 4 and t.
8
Let c be 43/2 - 4/8. Suppose -5*l + 78 = 3*m, 0*m = -3*l - 4*m + 38. What is the smallest common multiple of 1 + 0 - c*-1 and l?
198
Suppose -p + a + 0*a + 8 = 0, -5*a + 10 = 5*p. Calculate the smallest common multiple of 16 and 869/55 + 1/p.
16
Let h be 1 + (-1)/(56/4628). Let y = h + 613/7. Calculate the common denominator of -57/2 and y.
14
Suppose -7*h + 74 + 24 = 0. Calculate the smallest common multiple of 16 and h.
112
Suppose 3*p + 3*m = -2*p + 8, 0 = p - m - 8. Let h = 5 + 0. Suppose 0*d + 32 = 3*k - 2*d, -5*k + 60 = -h*d. What is the least common multiple of k and p?
8
Suppose -32 = 4*b + 3*f, 0 = 3*b + 4*f + 40 - 9. Find the common denominator of 39/20 and (-1599)/(-210) - (-2)/b.
140
What is the smallest common multiple of (-54)/(-5) - 4/5 and 2?
10
Let r = -8520 - -85133/10. Let o be -1 + 4239/(-1 + 0). Let n = -25351/6 - o. Find the common denominator of r and n.
30
What is the common denominator of -13/20 and (2 - (-5)/(-1)) + 220/250?
100
Suppose -4*b + 12 = -2*b. Suppose 6*l - 3*l - 28 = 2*u, 0 = -4*l + 4*u + 36. What is the least common multiple of l and b?
30
Suppose c + 3 = 1. Calculate the common denominator of -1 + 1 + 412/40 and (-33)/c - 6/(-9).
30
Let s = -12/119 - -3119/1428. Calculate the common denominator of s and 67/12.
12
Let m = 1259/666 + -35/37. Let v = 2/4399 - -664213/79182. Find the common denominator of v and m.
18
Let q = 4 + -3. Let c = 5 - 3. Let n(y) = 4*y. Calculate the least common multiple of n(c) and q.
8
Find the common denominator of -77/12 and (-4)/(-30) - 4/(120/(-661)).
12
Let i = 794 - 7949/10. Let w be 3/(-10)*(2806 + -10). Let f = 846 + w. Find the common denominator of i and f.
10
Let f(j) = j**3 - 2*j**2 + 2. Let c be f(2). What is the smallest common multiple of 18 and (-5 + 0)/((-1)/c)?
90
Let j = 6 - -1. Let a(z) = -z - 7. Let x be a(-5). Calculate the smallest common multiple of 66/(-4)*x/3 and j.
77
Let r = 661691 + -67491943/102. Let t be (-2)/((1360/(-52))/(-5)). Let g = t - r. Calculate the common denominator of 11/2 and g.
6
What is the lowest common multiple of 42 and (-1)/(-2)*(-140)/(-7)?
210
Let o(p) = -23*p + 7*p + 11 + 15*p. Let y(i) = i**3 - i**2 + i + 4. Calculate the lowest common multiple of y(0) and o(7).
4
Let x = -7/36 - 347/252. Let u = 141 + -276. What is the common denominator of x and u/(-8)*6/10?
56
Suppose -5 = -k, 0*k = -5*f + 5*k - 10. Suppose 0*m + n + 6 = m, -f*n = 12. Calculate the lowest common multiple of 20 and m + -4 + 1 + 5.
20
Let r = 400/9 - 4634/99. Let f be (-21)/9 + 2/6. What is the common denominator of 37/(-10) + f/(-1) and r?
110
Let b(y) = -y + 6. Let r = -20 + 24. Calculate the lowest common multiple of b(-8) and r.
28
Suppose -x + 8 = -0*x. What is the smallest common multiple of x and 3/((-1)/16*-3)?
16
Let f = -61134493/18 + 3402006. Let t = -5652 + f. What is the common denominator of t and 67/44?
396
Let v(n) = 6281*n + 2. Let m be v(2). Let p = 150881/12 - m. What is the common denominator of -79/10 and p?
60
Suppose 2*p - 5*z + 2*z = 103, z + 181 = 4*p. Suppose -3*l - 223 = 2*q - 2*l, 2*q = 3*l - 243. What is the common denominator of p and 0 + (-2)/((-20)/q)?
5
Suppose 2*t + 30 = 5*t. Suppose 2*d = 9*m - 5*m - 72, -m + 4*d = -4. Calculate the least common multiple of t and m.
20
Let q(b) = -9*b**3. Let f be -1*(-2)/(-4)*2. What is the lowest common multiple of q(f) and (-2)/(-8) - (-162)/24?
63
Let p(k) = k**2 + 7*k - 4. Let x be p(-7). Suppose n = s + 7, -2*n + 0*s - 3*s = -14. Calculate the least common multiple of x/14 - (-9)/7 and n.
7
Suppose 2*r = -5*c - 10, -3*r - 2*c + 7*c = -35. Suppose j - 1 - 12 = -r*f, 2*f + 8 = 4*j. What is the smallest common multiple of 4 and f?
4
Let a(o) = 10*o**2 - 2*o + 1. Let m(k) = -k**3 + 10*k**2 + 13*k - 16. Calculate the least common multiple of a(1) and m(11).
18
Suppose 3*o = 6*o - 36. Calculate the least common multiple of 2 and o.
12
Suppose 5*k - 44 = -5*u + 1, -2*k + 23 = 3*u. Suppose -2*i + 3*q + 33 = 0, -4*i - u*q + 121 = -0*q. What is the common denominator of 11/2 and 855/i*1/(-3)?
8
Let i be (-4)/(-3)*9/6. Let a = i - -7. Suppose 3*s - 55 = -2*s. What is the smallest common multiple of s and a?
99
Suppose t + 2 = 2*h, -2*h - 20 = -7*h. Calculate the smallest common multiple of 6 and t.
6
Suppose -7*a = -8*a + 9. Suppose -14 = -3*w + r, r = -w - 0*w - 2. What is the smallest common multiple of a and w?
9
Find the common denominator of -2 - (-3)/(-36)*-113 and 0 - (1 - 89/(-8)).
24
Suppose 5*w = w. Suppose 2*r + w*r - 36 = 0. Calculate the lowest common multiple of 12 and r.
36
Let g = 22503 - 23470631/1043. Let i = -28145/8344 + g. Find the common denominator of i and -3/8.
8
What is the least common multiple of 10 and 1 + (-4 - -6) - -5?
40
Let h = -2210 + 765. Let w = h - -20215/14. What is the common denominator of w and -85/18?
126
Let l = 97 - 87. Suppose c = 4*c - 2*j - 24, 8 = c + 2*j. What is the smallest common multiple of c and l?
40
Let n = -73/3 - -401/6. Let d be (-2)/9 - (-760)/18. Let a = -25 + d. Calculate the common denominator of n and a.
2
Calculate the common denominator of 1329/72 + 3/(-24) and -49/10.
30
Let p(v) = -v**3 - 3*v**2 + 3*v + 10. Calculate the lowest common multiple of p(-3) and 2.
2
Let y = 9 - 11. Let z = -80/61 - 4179/488. Calculate the common denominator of z and y/11 + (6 - 7).
88
Let q(m) = -m**2 - 6*m - 4. Calculate the smallest common multiple of -3*30/(-18) + -4 and q(-3).
5
Calculate the common denominator of (189/(-216))/(5/(-52)) and 55/2.
10
Let i = -59 + 69. Calculate the lowest common multiple of i and 4.
20
Suppose 4*x = -4*c, 5*c = -7*x + 4*x + 2. Let k be (3 - 13)*3/x. Suppose 5*a = 2*a + k. What is the smallest common multiple of a and 11?
110
Suppose 5*t - 16 = -2*k, 3*k + t = -t + 24. Let d = k - 5. Suppose d + 12 = 5*i. Calculate the least common multiple of i and 2.
6
Find the common denominator of (-896)/132*(-6)/8 and 32.
11
Let m(i) = i**3 + 10*i**2 - 3*i + 10. Let l be m(-10). Suppose 4*z + 4*f - 9 = 23, -5*z = f - l. Calculate the lowest common multiple of z and 11.
88
Calculate the lowest common multiple of (4 - 88/20)*-30 and 6.
12
Let z be (-2)/(-7) - 5/(-7). Let y be 35/(-10)*(1 + z). Let s = y - -11. Calculate the lowest common multiple of s and 2.
4
Find the common denominator of 374/72 + ((-234)/12)/13 and 91/12.
36
Let r(l) be the first derivative of 1 + 7/2*l**2 - 1/3*l**3 + 2*l. Calculate the smallest common multiple of 4 and r(6).
8
Let g be 2 + -1 - 43977/3438. Let v = -8/191 + g. Let n = -1062 - -4197/4. Find the common denominator of v and n.
12
Suppose -4*r + 8*r = 20. Suppose -p - 2 = -3*n + 3*p, 7 = 5*n - 3*p. Let j = r - n. What is the lowest common multiple of j and 5?
15
Let v = -57 - -29. Let j(w) = -14*w**2 + 3*w. Let a be j(-4). What is the common denominator of v and a/(-6)*2/(-4)?
3
Suppose 2*r + r - 18 = 0. Let c be 2 + -1 + (5 - 3). Suppose 2 - 20 = -c*x. Calculate the least common multiple of x and r.
6
Let u(q) = -q + 7. Calculate the lowest common multiple of 20 and u(-5).
60
Calculate the common denominator of (-51)/8 + (1 - 0) and (8/20)/((-36)/(-435)).
24
Suppose v - 114 = -3*l, 4*v = l - 3 - 48. What is the smallest common multiple of 72/39 + 6/l and 8?
8
Let a(f) = -9*f**2 + 1. Let q be a(-1). Let p = q - -11. Calculate the smallest common