Let j(h) = -2*h + 6. Let m be j(5). Let r = -37957/22 - -1723. Find the common denominator of r and (-2)/m*(-26)/(-16).
176
Let c = -4955/12 + 415. Calculate the common denominator of c and 27/52.
156
Let k = 13031/2148 - -3/179. Calculate the common denominator of 181/60 and k.
60
Let k(t) = 6*t**3 + t**2 + 7*t + 2. Let p(w) = -5*w**3 - w**2 - 6*w - 2. Let r(b) = 4*k(b) + 5*p(b). What is the smallest common multiple of 20 and r(-3)?
220
Let v(q) = -q**3 - q**2 + 2*q - 1. Let c be v(-3). Let l = -15 + c. What is the common denominator of 17/4 and ((-11)/l)/((-9)/(-8))?
36
Let u = 2222 - 33374/15. What is the common denominator of 34/15 and u?
15
Let k = 964724 - 6769814/7. Let z = 2398 + k. Find the common denominator of 4/3 and z.
21
Let n = -614 + 996. Let a = -5351/14 + n. Calculate the common denominator of (((-740)/(-25))/4)/((-12)/5) and a.
84
Let a = -1245463/22 + 56579. Let l = a + 33. Calculate the common denominator of l and -119/6.
66
Let p = 17 - 6. Calculate the lowest common multiple of p and 1.
11
Suppose -l + 5*c = -3*l - 27, 0 = -l - 5*c - 21. What is the common denominator of (-317)/72 - l/(-27) and -16/9?
72
Calculate the common denominator of (-110)/4*5/70 and 69/2.
28
Let h = 1 + -2. Let o be (h - 28)/1 - 1. What is the common denominator of 8/(-12) - (-181)/o and 46/5?
10
Let t = -17393/126 + 1011/7. Find the common denominator of 59/3 and t.
18
Let g(s) = -s**2 + 6*s - 2. What is the lowest common multiple of g(5) and (-1 - (-2 + -9))*1?
30
Let i = 200/7 - 1467/56. What is the common denominator of i and 1/16?
16
Let g = -11 - -23. What is the least common multiple of 102 and g?
204
Let w = -3/50 + 577/450. Calculate the common denominator of w and 32/9.
9
Let s(m) = m**3 + 2*m**2 - 4*m - 4. Let z be s(-3). Calculate the lowest common multiple of 9 and ((-14)/(-4))/(z/(-2)).
63
Let d(j) = j**3 + 6*j**2 - 5*j + 2. Let z be d(-7). Let b = 19/203 + -4275/4466. What is the common denominator of b and ((-2)/z)/((-9)/(-411))?
198
Let h = 1378 + -2811/2. Find the common denominator of -19/4 and h.
4
Find the common denominator of (-3*12/198)/(1/2) and -97/4.
44
Let r be (-6)/(-4) - 18747/(-2290). Let l = 26/229 + r. Find the common denominator of 121/10 and l.
10
Let g = -1 + 4. Suppose g*m = 5*m - 14. Let j = 3 - 2. What is the smallest common multiple of j and m?
7
Suppose 4*p + d - 21 = 0, 7 = -3*p + 4*d - 1. Calculate the lowest common multiple of ((-8)/4)/(p/(-14)) and -6*1*1/(-2).
21
Let l(t) = 254*t. Let p be l(-11). Let k = p + 27881/10. What is the common denominator of k and (6/30)/(4/(-25))?
20
Calculate the common denominator of 30/(-10) - 21/(-2) and (-34)/11 + (1 - 1).
22
What is the common denominator of (-246)/16*4/(-6) and 2/8 + (-25)/3?
12
Let q = 1685/18 + -1270/9. Find the common denominator of -131/6 and q.
6
Find the common denominator of -91/18 and (-151)/(-20) + (-3)/1.
180
Calculate the least common multiple of (4/3)/((-2)/(-9)) and (16/(-2))/(6/(-12)).
48
Suppose 6*x - 4*x - 66 = 0. Suppose -u + 0*u + 53 = 5*s, u - x = -3*s. What is the least common multiple of 1 and s?
10
Let z(l) = -8*l**3 - 3*l**2 - 2*l - 2. Let q be z(-3). Let f = 273 - q. Suppose -8*i + 4*i = -f. Calculate the smallest common multiple of i and 16.
80
Suppose 4*x = 20 + 20. Find the common denominator of (-4)/x + 1045/50 and ((-194)/6)/(8/(-6)).
4
Suppose 0*w = -4*w. Suppose 2*a = 3*r - 16, w = -5*r + 5*a + 11 + 19. What is the least common multiple of 6 and r?
12
Let u(p) = -7*p - 11. What is the least common multiple of 1 and u(-2)?
3
Let a be -482 - (1 - -1) - 3. Let b = -1505/3 - a. Find the common denominator of ((-80)/6)/(8 + -2) and b.
9
Suppose 0 = -2*x + 5*x + 4*c + 56, 2*c = 2. What is the common denominator of -19/4 and (-812)/48*x/(-14)?
12
Let b be -2 - -6*(-4437)/(-1092). Let f = -11/91 - b. What is the common denominator of 103/10 and f?
10
Let l = 24 + -28. Find the common denominator of 20/9 and 18/(-10)*70/l.
18
Let i = 2973/518 + 7/37. Calculate the common denominator of 0 + 170/(-48) + 4/4 and i.
168
Let g = 14 + 21. Let z = 69 - g. Find the common denominator of -44/3 and z.
3
Let c be 1*(-1 + 2 + -2). Calculate the common denominator of 40/3 and c - -4 - 175/45.
9
Let d be (-58)/(-5) + (-2)/(-5). Suppose d = k + k. Suppose -4*c - 16 - 36 = -4*p, -14 = -2*p - 4*c. What is the smallest common multiple of k and p?
66
Suppose 0*b - 3*b + 15 = 0. What is the lowest common multiple of b and 9?
45
Let j = 0 - -14. What is the least common multiple of 4 and j?
28
Let h = -354648302933/2060216 + 19451475/113. Let x = h + -3/2279. Calculate the common denominator of x and -49/4.
8
Let u(l) = l + 14. Suppose 5*j = 3*n - 0*n - 73, -2*n = 2*j - 22. Calculate the smallest common multiple of n and u(0).
112
Let r = -3 - -8. Suppose -5*q + 35 = 4*b, -2*q + r*b + 24 + 23 = 0. Calculate the lowest common multiple of q and 5.
55
Let a(m) = m**2 + 2*m - 11. Calculate the lowest common multiple of 10 and a(-9).
260
Suppose 0 = 5*b - j + 2*j - 401, 0 = 3*b - 4*j - 259. What is the common denominator of -13/6 and (-42)/b*(-6)/(-4)?
18
Suppose -5*b + 135 = 4*u, 3*u - 9 = 3*b + 72. What is the smallest common multiple of u and 55?
330
Suppose -4*t = 4*p - 48, 0*p + 4*t = -2*p + 32. Calculate the lowest common multiple of 16 and p.
16
What is the common denominator of 85/(-68) - 1*2 and 75/2?
4
Let p(v) = 0*v + 3*v - 2*v - 2. Let q = 10 - 7. What is the least common multiple of q and p(5)?
3
Suppose 77 = 4*t + 5*d, 5*t + d - 79 - 12 = 0. What is the smallest common multiple of t and (4/(-8))/(2/(-72))?
18
Let o = -1587 + 15927/10. What is the common denominator of 0 + 1 + 3 - (-348)/(-88) and o?
110
Calculate the common denominator of 0/(-5) + ((-27)/(-14))/3 and (49/(-28))/(9/(-2)).
126
Let b = 11 + -3. What is the smallest common multiple of b and 1/5 - (-19)/5?
8
Let x be (-2)/(-3)*(-9)/(-2). Let k(b) = 5*b - 28. What is the least common multiple of 6/x*1*2 and k(7)?
28
Let k(s) = -43*s**2 + s. Let t be k(1). Let w = -24 - t. Calculate the lowest common multiple of w and 6.
18
Let u = -44 + 138. Suppose y - u = -y. Suppose -7 = 4*p - y. What is the smallest common multiple of p and 18?
90
Let a = -5 + 10. Let g = a - 5. Suppose 0 = -g*h - h + 5*k + 21, -k = -4*h + 65. What is the smallest common multiple of 8 and h?
16
Let r = 95327/30 - 3174. Find the common denominator of 19/27 and r.
270
Let s = -1337/20 + 303/5. Find the common denominator of s and 11/230.
460
Suppose -255 = -5*y + 125. Find the common denominator of ((-286)/36)/11*2 and -1*(y/(-3) + 1).
9
Let g be 326829/9*3/6316. Let j = g - -2/1579. Find the common denominator of j and 33/5.
20
Let a = -567/4 + 141. Find the common denominator of a and 1 + 84/64*2.
8
Let v(n) = -n + 1 - 5 + 1 - 3. Calculate the smallest common multiple of v(-14) and 18.
72
Suppose 0 = 3*k - 193 - 59. Calculate the least common multiple of 10 and k.
420
Calculate the smallest common multiple of 8 and -2 + (4 - -3) + (0 - 1).
8
Suppose -5*o + 3*a + 13 = 0, -o - 2 - 1 = 5*a. Suppose -o = -2*h + h. Calculate the smallest common multiple of h and 10.
10
Let c(m) = 4*m + 1. Let n be c(1). Let k be (-393)/n + (-10)/25. Calculate the lowest common multiple of 6 and 1/4 + k/(-4).
60
Let s be ((-4)/41)/((-3)/3). Let w = -2578/369 + s. Let x = -3/628 - -9583/1256. What is the common denominator of w and x?
72
Let n = 182803 - 11150729/61. Let l = 1/366 + n. What is the common denominator of l and 99/2?
6
Let q = 57 + -45. What is the least common multiple of 28 and q?
84
Let h(n) = n**3 + 22*n**2 + n + 34. Calculate the lowest common multiple of 18 and h(-22).
36
Let l(o) = -3*o + 7. Suppose 2*f = f - 5. Calculate the least common multiple of l(f) and 2.
22
Let u be (-2)/2 - 16/2. Calculate the lowest common multiple of (6/7)/(1/7) and ((-3)/u)/((-2)/(-66)).
66
Let l = 7289/8 - 905. Let y = -7219 + 72297/10. Calculate the common denominator of y and l.
40
Suppose 5*j + 18505 = 4*s, -27137 + 8627 = 5*j - 3*s. Calculate the common denominator of j/38*3/(-35) and 21/4.
28
What is the least common multiple of 1 + -4*14/(-8) and 14?
56
What is the common denominator of -31 and (-14)/91 + 10*(-70)/(-156)?
3
Suppose -4*t - 2*b + 36 = 0, 4*b + 20 + 12 = 5*t. Calculate the smallest common multiple of t and 