
28
Let m be (-2199)/(-2)*(-4)/(-5). Let r = 166428393/188230 + -1356/2689. Let d = r - m. Calculate the common denominator of d and -40/11.
154
Calculate the lowest common multiple of 7 and (-22)/154 + 64/7.
63
Suppose -29*g + 280 = -15*g. Calculate the common denominator of -14/3 and g.
3
Let h be (3 - 1) + (-17043)/9990. Let k = -2/333 - h. Calculate the common denominator of 565/30 - (-3)/(-2) and k.
30
Let k = -299977/30 + 9995. What is the common denominator of k and 6 - ((-50)/(-135) + 3)?
270
Suppose 3*v - 5727 = 6*v. Let w = -11419/6 - v. Calculate the common denominator of w and 107/18.
18
Let c(u) = -34*u**3 + 2*u + 1. Let d be c(-1). Let q = d + -22. What is the least common multiple of q and (-11)/(-3) + (-4)/6?
33
Let c = 3567/4 - 876. What is the common denominator of -69/65 and c?
260
Let c = 5 + 8. What is the lowest common multiple of c + (-5)/((-20)/(-16)) and 12?
36
Let p = -6203 - -6211. Suppose -2*c + 60 = c. What is the least common multiple of c and p?
40
Let g be (4 - 0) + -2 + 0. Suppose h + h = -m + 9, -11 = -3*h - g*m. Suppose -9*a + h*a = -6. Calculate the lowest common multiple of 6 and a.
6
Suppose j = 7*q - 4*q - 1391, -7015 = 5*j + 5*q. Let s be 6993/j - (-3 - -2). Let d = s + -47/25. Find the common denominator of -2/5 and d.
40
Let q = 42081/16 + -2626. Calculate the common denominator of q and 57/160.
160
Let q = -2565 + 2595. What is the smallest common multiple of 102 and q?
510
Suppose 160 = 2*b + 2*b. What is the common denominator of -2 + 2/(-18)*-86 and ((-708)/b)/((-36)/(-15))?
72
Let z(r) = -4*r - 2. Let l be -12*1 - (-1 + -2). Let s(i) = -5*i - 4. Calculate the common denominator of s(l) and z(9).
1
Let h = 57191/10 - 5713. Calculate the common denominator of h and -131/1122.
5610
Let v = 1541/2 - 735. Calculate the common denominator of -7/16 and v.
16
Calculate the lowest common multiple of ((-6)/(-3) - 1)/1 and 3 - 3 - (-48)/6.
8
Let y = -418501/565080 - 5/4709. Find the common denominator of -133/120 and y.
120
Let g = -14/151 + 2911/453. Let j be 2664/20*22/3. Let n = 982 - j. Calculate the common denominator of n and g.
15
Let c = 20 + -16. Calculate the smallest common multiple of c/(0 - ((-12)/9 + 1)) and 4.
12
Let g = 22 - -10. Calculate the least common multiple of 24 and g.
96
Let c = 4 - -39. Suppose 0 = -5*b - z - c, -5*b + 4*z - 42 = -14. Let a(p) = -p**2 - 10*p - 14. What is the least common multiple of a(b) and 4?
4
Suppose -3*g + 7*g - 64 = -4*j, 3*j = -5*g + 58. Calculate the common denominator of (-8)/(-60) + j/30 and -11/3.
6
Calculate the common denominator of -17*16/(-136)*(-33)/(-36) and 2 + (-21)/45 + -2.
30
Suppose 106 + 222 = 2*l. Suppose 0*u + 4*u - l = -4*t, 0 = -3*t + 3. What is the least common multiple of 4 and u?
40
Let h(d) = d**2 + 5*d - 70. What is the lowest common multiple of 7 and h(8)?
238
What is the common denominator of 313/120*2 - 4 and (9/(-2))/((-648)/675)?
240
Suppose 3*m + 12516 = -2*r - 3*r, r + 2*m = -2499. Let x = r + 4909/2. Let v = 28601/5148 - 1/5148. What is the common denominator of v and x?
18
Let y = 2 - 2. Find the common denominator of 575/120 - (-2 + y - -2) and 49/12.
24
Let b = 7 - 4. Let w(l) = 9*l**2 + 19*l - 1. Let q(u) = 10*u**2 + 19*u. Let s(x) = -5*q(x) + 6*w(x). Calculate the least common multiple of s(-6) and b.
24
Suppose 49*p - 50*p + 18 = 0. What is the smallest common multiple of p and 30?
90
Let n be ((-7)/(-2))/(8/112). Find the common denominator of 41/5 and (-969)/(-42) + 21/n.
10
Suppose 0 = 2*i - 3171 + 1143. Let k = -16283/16 + i. Calculate the common denominator of k and 73/14.
112
Suppose 4*x = -4*i + 20, -3*i = -i - x - 10. Suppose i = u - 5*q, -3*u - 6*q = -2*q - 34. Suppose p = 4*p - 48. What is the least common multiple of u and p?
80
Let c = 1140 - 1095. Let b(i) = -i**2 + 5*i + 7. What is the lowest common multiple of c and b(6)?
45
What is the least common multiple of 116 and (-80)/6*(-45)/60?
580
Suppose b = 2*j + 14, b + j - 15 = 5. Let r = -145 - -149. Calculate the smallest common multiple of b and r.
36
Let n = -10 - -6. Let q = 4610 - 9179/2. What is the common denominator of q and n/10 + 291/(-210)?
14
Let r be 19/(627/(-864)) + (-2)/(-11). Find the common denominator of (3/(-20))/(r/1404) and (-2)/(-5) - 242/(-20).
10
What is the common denominator of (-35)/(-280) + (-3)/7920*-1142 and -43/11?
165
Let j = 17 - -19. Let i = j - 35. Calculate the least common multiple of (8/(-3))/(18/(-27)) and i.
4
Let i = 2254 + -15836/7. Let j = -2275 - -22757/10. What is the common denominator of j and i?
70
Let z = -1706 + 56294/33. Let n = z + 1493/66. Calculate the common denominator of -13 - ((-7)/5 - -1) and n.
10
Let i(s) = -30*s - 161. Calculate the smallest common multiple of 12 and i(-6).
228
Let o = 13 - 23. Let z(y) = -y**2 - 17*y + 14. Let v be z(o). Calculate the smallest common multiple of 6 and (20/14)/(24/v).
30
Let w = 10352 - 279557/27. Calculate the common denominator of (71/(-18))/((-5)/3) and w.
270
Calculate the common denominator of -86/15 and 5/4*(-1 - (-605)/(-125)).
30
Suppose -7*b = -15*b + 13712. Find the common denominator of -25/88 and 26/(-117) + b/(-144).
88
Suppose -4*f = -6*f + 5*r - 10, -2*r = -2*f - 16. Calculate the common denominator of (154 + -13)*2/18 and 598/(-60) + 2/f.
6
Let h = -70393/15 + 52569/20. Let o = h - -2063. Calculate the common denominator of -19/20 and o.
60
Let l = -20742 + 373219/18. Let d(k) = -k**3 + 10*k**2 + 7*k + 66. Find the common denominator of l and d(11).
18
Let h = 1924 - 1918. Calculate the smallest common multiple of h and 1464.
1464
Let j = 514057515/44 - 11674719. Let b = 8404 - j. What is the common denominator of b and 65/24?
264
Suppose 3*m = 12, 5*m - 22 - 58 = -5*r. Calculate the least common multiple of r and 54.
108
Let c(u) = 2*u - 11. What is the least common multiple of 27 and c(7)?
27
Let o = 605747/24 + -25244. Find the common denominator of o and -27/20.
120
What is the common denominator of -95/12 and (-6)/1 - (-40495)/6408?
72
Let g = -8453 + 236657/28. Find the common denominator of 31/28 and g.
28
Let j = 116 + -64. Find the common denominator of (-3 + 4)/((-24)/j) and 21/5.
30
Suppose -119*f + 123*f - 216 = 0. Calculate the least common multiple of 42 and f.
378
Calculate the least common multiple of 36 and 909/15 - 0 - (-3)/(-5).
180
Let h = 12095/3 + -4056. Let f be (3/1)/(5 - 4). What is the common denominator of ((-103)/f)/(4/2) and h?
6
Let d = -32015/19422 + 79/83. What is the common denominator of d and 97/18?
234
Suppose -5 = y + 2*r - 35, 3*y - 50 = 4*r. What is the lowest common multiple of 210 and y?
2310
Let b = 20471/11666 + 148/307. Find the common denominator of 33/8 and b.
152
What is the lowest common multiple of (-13328)/(-256) - (-3)/(-48) and 78?
156
Let g(f) = -9*f + 220. Calculate the smallest common multiple of 234 and g(24).
468
Let w = 31 - 26. Suppose -4*v + 42 = w*d, 4*d - 4*v = -5*v + 27. What is the smallest common multiple of 7 and d?
42
Suppose 5*z - 5*k = 75, -2*z - 5*k + 85 = 3*z. What is the lowest common multiple of 2 and z?
16
Suppose 93 = 5*h + 3. Let n = 21 - h. Suppose -y - n*y = -5*c + 1, y = 2*c - 1. Calculate the least common multiple of 7 and c.
7
What is the common denominator of 5/(100/(-8)) + 73/(-20) and 5 - 78/32*2?
40
Suppose 3*k - p - 171 = -5*p, -p - 125 = -2*k. Let y = 11 - 8. Suppose 0 = -d - 4*x + 7 + 5, -4*d = y*x - k. What is the smallest common multiple of d and 18?
144
Let h = 374236703/338749960 + -2573/44339. Let s = 5/1528 + h. What is the common denominator of s and -119/36?
180
Let w = 455 - 425. What is the lowest common multiple of 18/4*(-2 - -4) and w?
90
Suppose -4*v + 21 = 197. Let t = v - -90. What is the smallest common multiple of 22 and t?
506
Suppose 55*h + 5894 - 31909 = 0. Calculate the smallest common multiple of 43 and h.
473
Let x be 12617/(-8) + 12/(-24). Let o = 1565 + x. What is the common denominator of 55/18 and o?
72
What is the lowest common multiple of (-28)/168*(-2 + 8)*-21 and 154?
462
Let x(k) = -2*k**3 + 8*k**2 - k - 3. What is the smallest common multiple of 18 and x(3)?
36
Suppose -18 - 62 = -4*z. Suppose 3*o = 25 + z. Suppose -5*t + f = -34 - o, 0 = 4*t + 3*f - 43. What is the smallest common multiple of 22 and t?
110
Suppose 5*r + 