
Suppose 2*j = -3*j + 110. Calculate the smallest common multiple of j and 2.
22
Let d = -4611 - -119993/26. Let b = 3271/5 - 1285/2. Find the common denominator of b and d.
130
Let b = -11887/780 + -2/195. What is the common denominator of 43/8 and b?
8
Let f = -989/14 - -71. Calculate the common denominator of f and -31/18.
126
Let s = 13957 + -84041/6. Let x = -748669/12 + 62353. Let o = x - s. What is the common denominator of 59/8 and o?
8
Suppose 615 = 5*v + p + 20, 2*v + p - 235 = 0. Suppose 0*x - 2*x = -v. Suppose -2*f = -5*f + x. Calculate the least common multiple of f and 12.
60
Suppose 5*h = 2*h + 30. What is the smallest common multiple of 7 and h?
70
Let l be (3 - (2 - 2)) + 792. Let c = 5584/7 - l. What is the common denominator of c and -79/8?
56
What is the lowest common multiple of 2/(-4)*(16 + -36) and 8?
40
Let c = -1563 + 776. Let a be 1 + 0 - (-31514)/(-40). Let b = a - c. Find the common denominator of b and 45/2.
20
Suppose -7*o + 10 = -2*o. Suppose 5*c + 4*w = -12 + o, -4*c = -4*w - 28. Suppose 0 = 4*n - 9*n + 15. What is the smallest common multiple of c and n?
6
Let y(c) = -c**2 + 2. Let h be y(0). Suppose -6*a = -h*a - 32. Calculate the least common multiple of a and ((-22)/4)/(4/(-16)).
88
Suppose 0 = 4*c - 8 - 0. Calculate the least common multiple of ((-2)/(-6))/(4/72) and c.
6
Suppose s + 18 = 2*s. Let a(y) be the second derivative of y**4/12 + y**3/3 - y**2/2 - 2*y. What is the lowest common multiple of s and a(3)?
126
Find the common denominator of 41/4 and (-2 - 231/(-516))*4/(-6).
172
Let o(f) = f**3 + 7*f**2 + 10*f + 4. What is the smallest common multiple of o(-5) and 18?
36
Suppose 0*c = 5*c - 45. Calculate the common denominator of (33/c)/(6/39) and (171/486)/((-2)/(-6)).
18
Let c = -15432 + 49805/3. Let w(z) = 2*z**3 + 11*z**2 - 7*z + 10. Let d be w(7). Let u = d - c. What is the common denominator of u and -8/3?
3
Suppose c - 271 = -3*t, 3*t = 5*c - c - 1069. Find the common denominator of -139/6 and (4/(-42))/(16/c).
42
Suppose -7*p = -2*p + 110. Let l be (-115)/20*(-16 + 0). What is the smallest common multiple of 16 and 2/(-11) - l/p?
16
Let m be (-8856)/(-3440) - (3 - 1). Let r = 1/72985 - 10436898/3138355. Let p = m - r. Find the common denominator of p and 33.
10
Let q(t) be the second derivative of -t**4/12 + 3*t**3/2 - t**2 - t. Calculate the lowest common multiple of q(8) and 6.
6
Let n = -14 + 16. Calculate the smallest common multiple of n and 10.
10
Let k(g) = -16*g**3 - g**2 - g. Let t be k(-1). Calculate the common denominator of (-2 - 0) + (-98)/20 and 4/t - 155/28.
70
Suppose -2*h + 6 = -34. Let w = 18 + -6. Calculate the lowest common multiple of h and w.
60
Suppose -2*h - 21 = 3*y - 3*h, 5*y = 3*h - 35. Let t = 8 + y. Suppose 2*v = v + 11. Calculate the lowest common multiple of t and v.
11
Let b = -148/3 + 2981/60. Let z = -1/15059 + -1611301/180708. What is the common denominator of b and z?
60
Suppose 3*w = s + 2*s + 3, -w - 9 = -3*s. Suppose 0 = 23*n - 66 - 3. Calculate the least common multiple of n and w.
6
Let m = 2 - 1. Let o be 7232/6 + m - 1. Let q = o - 1182. Find the common denominator of -23/10 and q.
30
Let y(b) = 3*b**2 - 1. Let q be y(-4). Suppose -q = -5*p - 7. What is the smallest common multiple of p and 5?
40
Suppose k = 6*k + 40. What is the common denominator of -49/11 and k?
11
Let o = 1 + 19. Calculate the lowest common multiple of o and 12.
60
Calculate the common denominator of -21/164 and (-1)/((-22)/(-103)) - 4/(-2).
1804
Let n(u) = -u**3 + 3*u**2. Let z be n(2). Suppose 0 = -4*s - 5*x + 66, -z*s + 2*x + 13 = -39. What is the least common multiple of s and 18?
126
Let r = 9 + -6. Calculate the common denominator of r + -1 - 47/20 and -25/6.
60
Let k(b) = b + 12. Suppose -5*y + 0 = -5. Calculate the lowest common multiple of (y + (-4)/2)*-3 and k(-6).
6
Let i = -22 + 0. Let a = -6382 + 140369/22. Find the common denominator of a and (-7)/i*(-186)/(-14).
22
Suppose -2*d + 10 = -d. Let b(h) = 2*h**3 - 21*h**2 - 6*h - 41. What is the least common multiple of d and b(11)?
70
Suppose -27*f + 28*f - 16 = 0. Calculate the smallest common multiple of 118 and f.
944
Suppose 3*k + 12 = -12. Calculate the lowest common multiple of (-1 + (0 - -2))*14 and (9/6)/((-3)/k).
28
Let v be ((-3)/21)/(21/81). Let i = -2979/196 + v. What is the common denominator of i and -28?
4
Suppose -3*h = h - 16. What is the common denominator of 0/(-1) - (-78)/(-33) and 1/h*(-1708)/35?
55
Suppose 5*i - 4*c = 10 + 1, 5*i = 3*c + 12. What is the lowest common multiple of i and 11?
33
Let d = 21 + -12. Calculate the lowest common multiple of 3 and d.
9
Let i = -426443/18 + 23685. Suppose -5*n + 5*f = -9325, 4*n - f - 7460 = 2*f. Let o = -14859/8 + n. Calculate the common denominator of o and i.
72
Let k = 3 - -8. Calculate the least common multiple of 3 and k.
33
What is the common denominator of -38 and (-71)/5*15/12?
4
Let z = 25 - 42. Let k = -7 - z. What is the lowest common multiple of k and 6?
30
Calculate the common denominator of ((-5)/(-14))/(4/(-72)) and 1/3 + 286/60.
70
Let d = 3 - -8. Let y = d - 1. What is the smallest common multiple of 20 and y?
20
Let w = -3 - -4. Suppose -n - w = -4. Suppose n*f - 14 = 4. Calculate the lowest common multiple of 4 and f.
12
Let r be (486/(-12))/(1/(-14)). Calculate the common denominator of 6/8 + r/(-112) and (-2 - (-30)/16)*14.
16
Let q(a) = 2*a - 5. Let s(r) = 3*r - 9. Let g(j) = -5*q(j) + 3*s(j). What is the smallest common multiple of g(-4) and 2?
2
Let d = -1541/26 + 566630/9581. Let n = 36/67 + d. Let s = 186/11 - n. What is the common denominator of 111/10 and s?
10
Let n = -16 - -31. What is the common denominator of 0 + (54/(-20) - 2) and (n/200)/((-6)/(-245))?
80
Let i(p) = 15*p - 4. Let c(o) = 29*o - 7. Let f(q) = -3*c(q) + 5*i(q). Let g be f(1). Calculate the lowest common multiple of 8 and (-2)/g + 150/22.
56
Suppose 0 = 3*v - 2*v - 5*p - 15, -5*v - 33 = 2*p. Calculate the common denominator of (3/6)/(v/(-59)) and 27/2.
10
Let m = 33 + -31. Let b = 4 - 2. What is the least common multiple of m and b?
2
Let w be (-872 + 2)/((-16)/1522). Let y = w + -83290. Let f = y + 6637/12. What is the common denominator of f and -107/10?
30
Let c(f) = -2*f + 1. Let l be c(2). Let a be l - (-5)/(110/276). Let u = a - 13. Calculate the common denominator of 81/4 and u.
44
Let t(o) = -o**2 + 9*o + 2. Let b be t(8). What is the common denominator of b/5 - 31/(-2) and -23/10?
10
Let g = -25 - -1. Let q = -9 - 1. What is the common denominator of (-26)/3 + q/(-45) and g?
9
Let t be 3710 - 0/(-1 - -2). Let k be -1 - ((-36992)/(-10) - 2). Let q = k + t. Calculate the common denominator of 10/3 and q.
15
Let t(l) = 2*l**3 + 22*l**2 + 14. What is the least common multiple of t(-11) and 8 + 0/(-2)*1?
56
Suppose -v - k - 2*k + 3 = 0, 21 = 2*v + 3*k. Suppose 50 - v = 4*j. Calculate the lowest common multiple of 8 and j.
8
Let f = -549967 - -28599187/52. Let r = -5/13 - f. Calculate the common denominator of r and -39/22.
44
What is the common denominator of 25/18*135/18 and 2/5 - (-379)/(-60)?
12
Suppose 17 = 4*n - 19. Let z = -9 + 14. Let o = n - z. What is the lowest common multiple of o and 10?
20
Suppose -4*o + 107 = -13. Let s be ((-1)/2)/((-1)/o). Suppose -6*n = -n - s. Calculate the least common multiple of 6 and n.
6
Let p = -84 + 53. What is the common denominator of p and -151/6?
6
Let q(i) = 4*i + 6. Let v be q(-4). Suppose 0 = -4*m + 2*o - 28, 0 = -0*m + 5*m - 4*o + 38. Let t = m - v. Calculate the lowest common multiple of 6 and t.
12
Let k be -2 + -2 + 2 + 2. Suppose 2*d = -m, 5*d = -k*m + m - 7. What is the common denominator of -6 and m/4 + (-137)/(-18)?
9
Let y = -205595/3 - -69172. Let h = y - 618. Find the common denominator of 5/6 and h.
6
What is the common denominator of (1/22)/(2/(-82)) and 305/(-20) - (-2 + -4)/2?
44
Suppose -2*t + 3*h + 2 = 2*t, -4*h = 2*t - 12. Let d = -46 - -68. Suppose 2*j + s - d = -0*s, 2*j - 26 = -3*s. What is the lowest common multiple of j and t?
10
Suppose 0 = 2*m + 4 - 8. What is the smallest common multiple of m and 1/((3/33)/1)?
22
Let m(y) = -4*y. What is the least common multiple of 14 and m(-4)?
112
Let p = -7001/13601 - -15/469. Find the common denominator of p and -79/2.
58
Let k(p) = 3 + 7*p**2