
Let r = -63/190 - -240/19. What is the common denominator of r and -27/7?
70
Suppose -2*d - 1 + 5 = 0. Let x = -2 - -2. Calculate the smallest common multiple of 14 + (d - (2 + x)) and 14.
14
Let b be 3 + 0 + (-25526)/8506. Let q = b - -174429/59542. Let p = 45963/20 - 2297. What is the common denominator of q and p?
140
Let o = 68 - 41. What is the smallest common multiple of 12 and o?
108
Suppose -y - 3*r + 4 = -0*y, -5*r - 10 = 0. Let m = 35 - 62. Let p = -11 - m. Calculate the lowest common multiple of p and y.
80
Suppose 0*k - 4*n - 13 = 3*k, k = -n - 5. What is the smallest common multiple of (k + 1)/(30/(-20)) and 10?
20
Suppose -3*c + 0 = -33. Suppose -5*p - c - 114 = 0. Let o = p + 37. Calculate the least common multiple of o and 4.
12
Let c(r) = -5*r + 4. Let z be c(-5). Let k = 49 - z. Calculate the least common multiple of 10 and k.
20
What is the smallest common multiple of 140/(-8)*24/(-14) and 10?
30
Let g be ((-236)/16)/(6/579). Let w = 1421 + g. Calculate the common denominator of w and -55/9.
72
Suppose -3*n = -13 - 2. Let r be 1/(((-3)/(-3))/1). Calculate the smallest common multiple of (-39)/(-4) + r/4 and n.
10
Suppose -z - r = 8, -2*r = -z + 3*r + 22. Calculate the smallest common multiple of 8 and (2 - z) + -2 - -3.
24
Suppose 16 = -5*g + g. Let n be 8/(-36) + 1960/(-9). Find the common denominator of g/6*n/8 and -43/2.
6
Suppose -107 = -g - 28. Find the common denominator of g/2*(-8 - -7) and (1/5)/(2/62).
10
Let o = -2/8631 - -313597/17262. What is the common denominator of o and 49/18?
18
Calculate the common denominator of -2/11 and 3/(-15)*9/3.
55
Calculate the common denominator of 163/42 and (3 + 0)*447/54.
42
Suppose 0*z = -3*z - 9. Calculate the common denominator of 11/7 and (-1)/((-27)/102) - z.
63
Suppose -5*p + 56 = 16. Let b(i) = 40*i**2 + 3*i + 3. Let d be b(-2). Suppose -5*u - 57 = 5*t - d, 0 = t. Calculate the lowest common multiple of p and u.
40
Let u(g) = -2*g - 7. What is the least common multiple of u(-4) and 6?
6
Let l(q) be the first derivative of q**3/3 + 3*q**2 + 7*q + 2. Let f be l(-6). Calculate the smallest common multiple of 8 and 2/7 + 26/f.
8
Let l(b) = 3*b**2 + 11*b - 8. Let h be l(-8). What is the common denominator of (-2)/1 + (-204)/h and (-1)/2 + (-55)/(-16)?
16
Let q(w) = 4*w**2 - 7*w**2 + w**3 - 2*w + 1 + 1. Calculate the least common multiple of q(4) and 4.
20
Let m be (-38)/3 + 16/24. Find the common denominator of 2/m + 278/(-6) and -29.
2
Let f(x) = -x**2 + 6*x - 3. Let p be f(4). What is the least common multiple of 10 and ((-2)/p)/(3/(-15))?
10
Suppose -10 = -6*o + o + 5*t, -2*t = 4*o - 38. What is the least common multiple of o and 1/(0 - (-1)/1)?
7
Let h = 3 + -1. Let i(x) = x**3 + 7*x**2 - 8*x + 3. What is the smallest common multiple of i(-8) and h?
6
Let w = -1189 + 4657/4. Let d = w + 1129/44. Let g = -113/20 - 33/20. Find the common denominator of d and g.
110
Let f = -1 + 51. Calculate the common denominator of -5/22 and (-6)/f*345/(-6).
110
Suppose 0 = -2*n - w + 5, 3*n + 3*w = -2*n + 13. Let r be (-6)/n*1*-48. What is the common denominator of -27/7 and (1 - 5)*(-244)/r?
63
Suppose -10*d - 195 = -5*d. Let p = -25 - d. What is the lowest common multiple of p and 16?
112
What is the least common multiple of 30 and (10/6)/(15/54)?
30
What is the common denominator of 908/198 + (-22)/99 and -109/6?
66
Let k(o) = o**2 + 7*o + 2. Let l be k(-7). Let r(b) = 2*b + 1. Let i be r(l). Suppose 0 = -i*t + 19 + 31. What is the smallest common multiple of t and 2?
10
Suppose 4*k = -38 + 166. Calculate the smallest common multiple of 8 and k.
32
Calculate the least common multiple of 120 and -5 - 4/(4/(-7)).
120
Calculate the smallest common multiple of ((-70)/(-15))/(2/6) and 60.
420
Suppose -2*j = -o - 8, -3*j + 9 = -2*o - 5. Calculate the common denominator of -67/6 and (112 - 9)/(12/j).
6
Let j be (6/5)/((-4)/(-10)). Suppose j*o - 38 = -5. What is the least common multiple of o and 9?
99
Let c be (-131)/(-7) - (-4)/14. Let k = 11 - c. Let j = k + 19. What is the smallest common multiple of j and 5?
55
Let y(d) = -2*d. Let p be y(-6). Suppose -p = 3*x - 5*x. What is the lowest common multiple of 3/((-6)/(-38)) - -1 and x?
60
Let v(k) = k**3 + 8*k**2 + 5*k - 9. Let d be v(-7). Suppose 3*o + 5*g = 2*o + 16, 2*g = -d*o + 80. What is the smallest common multiple of o and 34?
272
Suppose 3*o - 4 = 2*o. Suppose o*d - 5*w - 23 = -0*d, 0 = 3*d - 5*w - 21. Suppose 5*b = 18 + d. What is the smallest common multiple of 16 and b?
16
What is the common denominator of 57/8 and 5/40*(4 - 105)?
8
Calculate the common denominator of (2 + 16/(-3))*6/96 and -41/15.
120
Calculate the common denominator of (-75)/8*(-1 + 3) and -69/14.
28
Suppose -3*z - 2*h + 726 = 0, 72 + 159 = z - 3*h. What is the lowest common multiple of 14 and z?
1680
Suppose -11 = -2*f + 3*x, 5*x + 10 = -3*f - 2. What is the smallest common multiple of f and 3?
3
Let t = -16507/18 - -909. Find the common denominator of (-453)/18 - (-1)/1 and t.
18
Let r be 2/(-3 - -6 - 1). Let d = 8240/9597 + -2/1371. Find the common denominator of d and r/6*(-344)/(-8).
42
Suppose -2*j - 26 = -278. Let c be j/4 + 1/2. Suppose 7*m = 3*m + c. Calculate the least common multiple of 8 and m.
8
Let q = 3 - 16. Let b = q + 5. Calculate the common denominator of 6/63*606/b and -79/6.
42
Let u = 1307625527/10884 + -120142. Let b = u + 560531/54420. Find the common denominator of b and -35*(-2 - -3)/9.
90
Let g = -115961/14 - -8279. Let d = -2107/2 + 5294/5. What is the common denominator of g and d?
70
Let j = -1723/6 - -284. What is the common denominator of 89/16 and j?
48
Let n be (1 + 0)/(10/90). Let l = n - 5. Suppose -3*y + 3 = -5*k, -l*y + 4 = -2*k + 4*k. What is the least common multiple of 5 and y?
5
Let h be (-79664)/(-90) + 2/5. Let q = h - 2632/3. What is the common denominator of q and 9/(-12) - 1195/(-180)?
9
Let c = -7 - 2. What is the common denominator of 4/c*2013/88 and -54/11?
66
Let u(x) be the third derivative of 11*x**4/24 + x**3/3 - x**2. Let g be u(-2). What is the common denominator of -63/22 and (69/72)/((-3)/g)?
198
Let k(x) = -3*x + 4. Let o be k(4). Let w be 1 + -3*(-4)/6. What is the least common multiple of 6 and 5*w/((-30)/o)?
12
Suppose 0 = -2*u + o - 1 + 10, -27 = -3*u - 3*o. Calculate the smallest common multiple of u and (22/4)/((-2)/(-4)).
66
Let b = 50401/22 + -2290. Calculate the common denominator of -1/10 and b.
110
Let r = 22265/2232 + -28/279. Find the common denominator of r and -10/13.
104
Find the common denominator of 27/10 and (-42)/(-16)*306/81.
60
Let d = 41011/21 - 1951. Find the common denominator of -61/24 and d.
168
Let u be (-3)/12 - 208473/(-60). Let d = -5471 + 2001. Let y = u + d. What is the common denominator of -145/6 and y?
30
Let o be 2/7 + (-920)/(-2905). Let m = 4115/747 + o. Calculate the common denominator of m and 125/6.
18
Let x = -3215/6 - -532. Let v = -547 + 249. Calculate the common denominator of x and (7 - 8)/((-24)/v).
12
Suppose c + 116 = 3*c. What is the common denominator of (c - -3)*(-1)/6 and 101/4?
12
Let q = 12 - 9. Let d(h) = -h**3 + 4*h**2 - h. What is the lowest common multiple of d(q) and 14?
42
Calculate the common denominator of (-175)/(-41) - 1 - 3 and 2/9.
369
Calculate the smallest common multiple of 7 and (-17)/(-4) + 14/(-56).
28
Suppose 5*t - 2 = -r, -24 = -2*r + 4*t - 6. Let j(m) be the first derivative of 8*m**3/3 + m**2 - m + 1. Calculate the lowest common multiple of j(1) and r.
63
Let k(h) = -h**3 - 8*h**2 + 2 - 5*h + h**2 + 12*h. What is the lowest common multiple of k(-8) and 1?
10
Let b = 6871/516 - -3/172. Let p = 167/6 - b. Calculate the common denominator of p and -56/11.
22
Let v = 1 - 5. Let h(m) = -2*m - 6. Let f be h(v). Calculate the common denominator of (3/(-16))/(f/(-152)) and -11/8.
8
Suppose -4*j = -2*j - 4. Calculate the common denominator of 29/9 and 1758/72 - j/(-8).
9
Find the common denominator of 111/10 and (-13)/3*3/8.
40
Let j be (-1)/3 - 373237/57048. Let o = -70197562/2377 + 29532. Let u = j + o. Calculate the common denominator of u and 63/5.
40
Calculate the common denominator of ((-2)/(-16))/((-4)/(-348)) and 4/30*555/(-36).
72
Let d = 548 + -268. Let i be 2/(-3) + d/15. Suppose k = -k - u + i, 4*k - 38 = -3*u. What is 