. Find the common denominator of 23/3 and g/(-40) - 9/36.
15
Let c be (-6)/(-24) - (-358)/8. Calculate the least common multiple of 5 and 4/3 - 15/c.
5
Suppose 5*c = 4*g + 13, 0 = 3*g + 4*c - 14 - 15. Suppose 0 = -g*h + 3*m + 69, 0*h + 2*h - 31 = 5*m. What is the least common multiple of 24 and h?
168
Let m be (-4*2)/(-2) - 2. Suppose 0*h = 2*s - h - 3, m*h = 5*s - 10. What is the lowest common multiple of 1 and s?
4
Let t = 8279/6 - 1396. Let s = 3013/6 + -515. Calculate the common denominator of s and t.
6
Suppose 15*y + 13*y = 280. Calculate the smallest common multiple of 2 and y.
10
Let m = -1/68380 + -4136969/1435980. Find the common denominator of m and 79/40.
840
What is the common denominator of ((-2)/(-3) - 0) + 1661/(-1518) and 35/184?
552
Suppose 2*r + 4*o - 278 = 0, 5*r - 5*o - 709 = -o. What is the common denominator of 2/6 + r/(-12) and ((-27)/2)/((-48)/32*(-4)/14)?
12
Suppose -13 = -4*j - 1. Suppose 1295 = j*t - 1000. Find the common denominator of 11/18 and t/40 - (-1)/8.
36
Calculate the common denominator of -127/6 and (2784/440 - 6)/(104/90).
858
Let p = -37 + 38. What is the common denominator of p*26/(-12) + (-4)/8 and -29/10?
30
Calculate the common denominator of ((-82)/(-24) + -6)/(2/9) and -69/10.
40
Suppose 4*a - 3 = -15. Let j = 5 + a. Suppose -d - j*u = -14, 4*d + 2*u = -2*u + 48. Calculate the lowest common multiple of 20 and d.
20
Suppose -99*m + f = -102*m + 770, 5*m + 5*f = 1290. Calculate the lowest common multiple of m and 96.
768
Let o(n) = -n**3 - 4*n**2 + 17*n + 26. What is the lowest common multiple of o(-7) and 54?
54
Suppose -4*f - 20 = f - 5*a, 3*a - 12 = 5*f. Suppose f = 4*l + 5*x - 12, 2*x = 0. Calculate the lowest common multiple of l and (10/6)/(580/2436).
21
Find the common denominator of 137/18 and (-5997)/2838 + (-14 + 3 - -13).
8514
Let f(z) = -5*z - 32. Let j be f(-17). Let c = j + -53. Find the common denominator of 2/(-7) - 1398/56 and c.
4
Suppose 0 = -7*q + 8*q - 3. Let t(s) = s**2 - 3*s + 2. Calculate the smallest common multiple of t(4) and q.
6
Suppose -20 = -4*y + 4*d, 3*y - y + 2*d = 22. Suppose 8*o - 38 = -4*t + 3*o, 2*t - 22 = -o. What is the least common multiple of t and y?
24
Let o = -1057831/11718 - -2793/31. Find the common denominator of -121/42 and o.
378
What is the common denominator of ((-85)/(-495))/(60/40) and -143/216?
2376
Suppose 228 = -66*k + 1020. Calculate the lowest common multiple of k and 11.
132
Let l(b) = b**2 - 5*b + 27. Calculate the lowest common multiple of l(6) and 156.
1716
Let f = -1/94 + 1106/141. What is the common denominator of f and -187/210?
210
Suppose -6*y + 3*y + 69 = -3*t, -2*y = -t - 41. Let f(u) = -u**3 + 15*u**2 - 25*u - 5. Calculate the least common multiple of y and f(13).
72
Let y = -110 - -152. What is the lowest common multiple of 8 and y?
168
Suppose -g + 0*c + 58 = 2*c, 5*c = 4*g - 258. What is the lowest common multiple of g and 28/(-24)*2*-3?
434
Suppose -2*i + 3 = 5*p - 7, 0 = -4*p - 16. Suppose 3*z - 5*z + 82 = 4*j, -2*j + 11 = -5*z. What is the lowest common multiple of i and j?
90
Let p be (-3)/(-5) + (-22131)/(-765). Let j = 1295/102 - p. Calculate the common denominator of -65/6 and j.
6
Let o(l) = l**3 + 12*l**2 + 7*l - 6. Let k be o(-12). Find the common denominator of (-6)/(-27) - 1945/k and 77/6.
6
Let t(z) = z**3 - 8*z**2 + 3. Let d(h) = h**3 + 1. Suppose 4*m = -1 + 5. Let v(y) = m*t(y) - 2*d(y). Calculate the smallest common multiple of 1 and v(-8).
1
Let s = -12/361 - 21493/15884. Let m = -2177/4 - -547. Find the common denominator of s and m.
44
Calculate the common denominator of 17/135 and 7/7*2057/(-660).
540
Find the common denominator of -131/162 and ((-1)/(-3))/(56/468) - 4.
1134
Let d(v) = 5*v - 5. Let n be d(7). Suppose 0 = -31*y + n*y + 27. Calculate the lowest common multiple of y and 18.
54
Let u be 2 - 1 - 1/1. Let v be -15 + 0/(u + -2). Let c = -11 - v. Calculate the least common multiple of 6 and c.
12
Let o = -1488/5 - -611/2. Calculate the common denominator of o and -27/178.
890
Let t = 598 + -573. Calculate the lowest common multiple of 11 and t.
275
Calculate the common denominator of (-5 - (-2159)/432)/((-6)/(-516)) and -17/24.
216
What is the common denominator of 1 + -1 + (12070/(-150))/(-17) and -71/12?
60
Let r = -136 - -181. What is the least common multiple of r and 39?
585
Let w = 752986/6593 - 2170/19. Let q = 837287/39558 - w. What is the common denominator of 13/18 and q?
18
Let f(a) = 20*a**2 + a + 1. Suppose 0*c + 118 = c. Calculate the lowest common multiple of f(-1) and c.
1180
Let v = 10766 - 107559/10. Let l = 118213/20 + -5912. What is the common denominator of l and v?
20
Let r(d) = -d**3 + 9*d**2 + 5. Let z be r(9). Let x(u) = -u**3 + 4*u**2 + 7*u - 3. Calculate the smallest common multiple of x(z) and 14.
14
Let b(n) be the third derivative of n**4/6 - n**3/3 - 3*n**2. Let o(p) = 5*p**2 - 2*p - 1. Let a be o(-1). What is the least common multiple of b(a) and 4?
44
Let f = 32 - 6. Let n = -21 + f. Suppose -n*s - u + 145 = 0, 0*s + s = -u + 33. Calculate the least common multiple of s and 18.
252
Let l = -50305/8 + 6280. Let a = 37/12 - -1/12. Find the common denominator of l and a.
24
Find the common denominator of -35/3 and 116/10728*3*(-12)/(-8).
1788
Let d be ((-114)/9)/((-8)/(-36)). What is the common denominator of (d/(-380))/(2/45) and -3 - 78/(-44) - 3?
88
Let b = -133799/22 - -18239/3. Find the common denominator of b and -31/36.
396
Let w = 2/20091 - 636223/80364. Calculate the common denominator of -3 - (-4 + (-450)/(-216))/((-6)/(-4)) and w.
36
Let t(v) = -v**3 - 5*v**2 - v - 3. Suppose 3*m = 2*o + 17, 2*m - 4*o + 1 = 15. Calculate the lowest common multiple of m and t(-5).
10
Calculate the least common multiple of (3 + -3 + 1)/((-1)/(-50)) and 60.
300
Let g = 20244 + -850099/42. Let t = -24419/30 - -815. Find the common denominator of g and t.
210
Let y = 1169 + -998. Calculate the least common multiple of 12 and y.
684
Suppose -9*j + 145 - 10 = 0. Let b(f) = 2*f**2 + f - 4. Let s be b(-3). Suppose -s*l = -6*l - j. Calculate the least common multiple of 6 and l.
6
Let k(p) = p**3 - 5*p**2 - 7*p + 6. Let u be k(6). Suppose s + 2*o = 18, 0 = s - u*s + 5*o - 21. What is the lowest common multiple of 22 and s?
176
Suppose 3 = -3*w - 6. Let l(p) = 2*p**2 - 2*p - 2. What is the least common multiple of 2 + (2/(-4))/(8/(-32)) and l(w)?
44
Calculate the common denominator of 7 + 49630/(-7497) + (-2)/(-14) and -107/102.
306
Suppose -3*g - 1 = -16, -5*u - 35 = -3*g. Calculate the common denominator of (-212)/(-112) + u/28 and (64/(-6))/(3 - 0).
36
Calculate the smallest common multiple of 1604 and (-48)/(-8)*32/12.
6416
Let z be (-3)/(6/(-8))*(-10)/(-10). Suppose -2*v + r + 61 = v, z*r = v - 24. Calculate the smallest common multiple of v and 22.
220
Let s = 3/670 - -14399/1340. Let y = -1539 + 4573/3. Find the common denominator of s and y.
12
Let y(k) = -k**3 + 10*k**2 - 9*k + 3. Let s be y(9). Suppose s*z = 4*c - 119, z + 29 = c - 5*c. Calculate the common denominator of z and (-1)/2*(-12)/(-14).
7
Let i = -599 - -43734/73. Let c = i + 1519/146. What is the common denominator of c and -33/4?
4
Let k = -12 - -9. What is the lowest common multiple of 4 and k/(-2 - 795/(-402))?
268
Let g be -2 + ((-2859)/(-711) - 2). Let f = -13948/1659 - g. Calculate the common denominator of 119/18 and f.
126
Let o = -51554/13905 + 433/103. Find the common denominator of o and -51/55.
1485
Suppose 0 = 4*m - 6*m + 12. Let c be 0/(2 - (-4 + 4)). Suppose c*z - 20 = -2*z. Calculate the lowest common multiple of m and z.
30
Suppose -53 = -6*v + 19. What is the smallest common multiple of 24 and v?
24
Let h(u) = -u**2 + 3*u - 1. Let r be h(2). Let c = r + 2. Suppose 0 = -2*x + c + 37. What is the lowest common multiple of 6 and x?
60
Let b = 5551863/110 - 50471. Find the common denominator of b and 21/16.
880
Let z(f) = -2349*f**3 - f**2 - 2*f - 2. Let x be z(-1). Let m = -14143/6 + x. What is the common denominator of m and 87/4?
12
Let n = 117 - 461/4. What is the common denominator of -73/28 and n?
28
Find the common denominator of 14/(32*(-5 + 6)) and -89/12.
48
Suppose -5*n = c + 33 - 10, 10 = -5*c - 4*n. Find the common denominator of (377/(-325))/(c/(-5)) and 1 - (-74)/8 - 0.
20
Let v =