Let x = -646 - -6427/10. Find the common denominator of x and 47/9.
90
Let l be (-4)/(-18) + 164486/(-90). Let r = 1820 + l. Calculate the common denominator of -41/6 and r.
30
Let j be 6/9 + (-33328)/6. Let g = -55459/10 - j. What is the common denominator of g and (177/27)/((-12)/9)?
60
Suppose m = -h + 7, -2*m - 3*m = -2*h. Calculate the lowest common multiple of 4 and h.
20
Let f(a) = -a**2 - 4*a - 6. Let o be f(-4). What is the common denominator of -2 - (148/o - 1) and -53/13?
39
Let p be 143 - -2*(-3)/(-6). Suppose -3*b + 7*b = p. Suppose 3*w - x - b = 3*x, 3*w - 36 = 5*x. Calculate the least common multiple of w and 12.
12
Suppose -4*j = -0*j - 44. Suppose -5 = -4*i + j. What is the lowest common multiple of 4 and i?
4
Suppose -16*y = -19*y + 21. Calculate the least common multiple of y and 10.
70
What is the common denominator of (1 - 5)*(-1245)/(-1080) and 125/582?
1746
Suppose 0 = -3*b - 45 - 15. Calculate the smallest common multiple of (-2)/(-8) + (-35)/b and 5.
10
Suppose 2*o = 4*k + o - 28, o + 4 = 0. Let r = 23 - 15. What is the lowest common multiple of k and r?
24
Let i = 203/2 - 96. What is the common denominator of -99/4 and i?
4
What is the common denominator of -19/9 and (202/(-12))/((-32)/(-8))?
72
Let x be ((-164)/(-12) + 3)*6. Suppose -x = -5*r - 0*r. Calculate the least common multiple of 16 and r.
80
Let u be (-2)/10 - (-1564)/20. What is the common denominator of 29/22 and (u/(-20))/(2/3)?
220
Suppose -17 - 38 = -5*z. Let t(j) = -j + 1. Let f be t(-6). Suppose a + 5*k = 2 + f, a + 2*k - 6 = 0. Calculate the smallest common multiple of z and a.
44
Let p be (-1)/(-4) + 2353/4. Let m = p - 604. Let c = -31/14 - -139/28. Calculate the common denominator of c and m.
4
Let b = -8250 + 140209/17. Calculate the common denominator of -31/11 and b.
187
Calculate the common denominator of 29/20 and 120/(-9) - (-3)/9.
20
Let h = -16 + 18. What is the least common multiple of h and 4?
4
Let g(q) = q**2 - 7*q - 1. Let o be g(7). Let h = o - -11. What is the common denominator of -19 and h/(-12)*-31 + -2?
6
Suppose 0*v = 4*d - 4*v - 568, d = -5*v + 148. Calculate the common denominator of 5/18 and d/16 + -1*3.
144
Let k = -6799/238 - -201/7. What is the common denominator of -47/14 and k?
238
Let j(l) = l**3 + 3*l**2 + 3*l + 3. Let s be j(-2). What is the lowest common multiple of 14 and 11 + ((-4)/4)/s?
70
Let g(h) = -h**2 + 16*h - 14. Let a be g(12). Let t = a - 16. Calculate the least common multiple of 12 and t.
36
Let g = 59550166 + -14172971765/238. Let a = 958/7 + g. Calculate the common denominator of a and 17/16.
272
Let f = -97/61 + -241/3416. Find the common denominator of f and -55/18.
504
Find the common denominator of -43 and ((-84 - 2)/(-1))/(-10).
5
Let b = -11 + 22. What is the least common multiple of b and (-7)/(-2*1/2)?
77
Let j = -6674 + 106871/16. Let k = 199/4 + -643/12. Find the common denominator of j and k.
48
Suppose 0 = 4*q + q - 10. Let m(b) = b**2 + 2*b + 5. What is the least common multiple of 18 + 0 - (-4)/q and m(-5)?
20
Let x = -360 - -5749/16. What is the common denominator of 41/4 and x?
16
Let f = 58897/44576 + 1/6368. What is the common denominator of 95/12 and f?
84
Let t(d) = -d**2 + 5*d + 2. Let i(w) = -3*w - 19. Let h be i(-9). Suppose 0 = -9*a + h*a + 6. Calculate the least common multiple of a and t(5).
6
Let p(g) = -g + 3. Let b be p(4). Let k be ((-9)/(-6) + b)*2. Calculate the least common multiple of 12 and ((-1)/(-2))/(k/12).
12
Suppose -2*c + 28 = 18. Calculate the smallest common multiple of c and 5.
5
Suppose 7*k = 4*k + 66. What is the least common multiple of k and 22?
22
Let x(c) = -c**3 - 6*c**2 + 6*c - 5. Let v be x(-7). Let t = -6619/16 - -413. What is the common denominator of 0 - -79*v/16 and t?
16
Let r(d) be the second derivative of 5*d**4/12 - d**3/6 + 2*d. What is the lowest common multiple of r(1) and 7?
28
Suppose c - 31 = -3*z, 4*c + 4*z - 84 = -0*c. Calculate the least common multiple of c and (-1827)/(-84) - (-1)/4.
176
Calculate the least common multiple of 4/2 + 4 + 0 and (-4)/(-6) + 120/9.
42
Let v = 17/1557 - 24773/3114. What is the common denominator of 59/20 and v?
180
Let s(r) = -2*r - 3*r + 0 + 1. Let v be s(3). Calculate the least common multiple of 12 and (-21)/v*(-4)/(-3).
12
Let v(m) = -m**3 + 7*m**2 - 5*m. Let f(z) = -7*z - 1. Let n be f(-1). Let d = 13 - 7. What is the least common multiple of v(n) and d?
6
Let x(w) = w**3 + 3*w**2 - 6*w - 4. Let r = -1 - 3. What is the smallest common multiple of 22 and x(r)?
44
Let c(f) = -5*f + 1. Let j be c(-1). Let y = j - -2. Suppose 5*g = 2*p - 2, 5*g = -6*p + 4*p + 42. Calculate the smallest common multiple of y and p.
88
Let q be ((-325)/2)/5*8. Let x be 46/q*(-750)/56. Let b = 9/728 - x. Calculate the common denominator of 43/10 and b.
70
Let v = -1126 - -37163/33. Find the common denominator of -26/33 and v.
33
What is the common denominator of 113/24 and (748/180)/(-11) - (-2)/(-5)?
72
Let v = -18 - -17. Find the common denominator of v/(-1) - 453/54 and (-115)/66 - 1/(-3).
198
Let j = -8 + 18. What is the smallest common multiple of j and 1?
10
Suppose -h + 4340 = -5*h. Let n = -10883/10 - h. What is the common denominator of -105/22 and n?
110
Suppose 2*z + 3*c - 2*c = 9, z - 4*c = 18. Let t = z + -4. Let p = -11 + 15. What is the lowest common multiple of p and t?
4
Let m be (1 - 9219/558) + 2. Let t = m + 2/93. What is the common denominator of 14/(-24) - (-6)/2 and t?
12
Let b = -6 + 14. Let l(c) = -c**2 + 11*c - 4. What is the least common multiple of l(b) and 12?
60
Let z(a) = 7*a - 4. Let y(h) = -6*h + 3. Let p(d) = 3*y(d) + 2*z(d). Find the common denominator of -54/5 and p(1).
5
Let v = -12/2633 + 27933/929449. Let x = 9657/4942 - v. What is the common denominator of x and 89/22?
154
Let k be 6/(-8) + 340/(-16). Let s = k + 34. Suppose 4*a - a = 24. What is the lowest common multiple of a and s?
24
Suppose -c = 2*n + 3 - 31, 2*n - 4*c - 48 = 0. Suppose 9*g = 12*g + u - 10, 0 = -4*g - u + 14. What is the least common multiple of g and n?
16
Let v = -15421/170 - -1656/17. Let t(n) = n + 38. What is the common denominator of t(0) and v?
10
Let v be ((-18)/(-24))/((-2)/(-32)). Suppose -4*u - v = 0, 2*y + 3*u + 24 + 27 = 0. Find the common denominator of y and 77/2.
2
Let i = -8726855/646242 + -6702/2911. Let m = -184/37 - i. Calculate the common denominator of m and 4/2 - 31/5.
30
Let w = -142 + 171. What is the smallest common multiple of 3 and w?
87
Let y = -8177/1848 - 1/264. Calculate the common denominator of (30/(-8))/(90/75) and y.
56
Let n = 2555/36 - 665/9. Calculate the common denominator of -97/22 and n.
132
Let s(h) = -h**2 + 8*h - 8. Let a be s(7). Let d be (-6)/(-3 - a - -1). Suppose 2*f - 4 - d = 0. What is the smallest common multiple of f and 2?
10
Let n be -12*((-12)/9 - -1). What is the common denominator of (-12)/n + 109/22 and -71/22?
22
Let w = 15838978 + 33593874. Let l = -38063308069/770 + w. Let h = -682/35 - l. Calculate the common denominator of h and -121/20.
220
Let u be (82/(-1))/(-1 + -1). Let l = u - 19. Calculate the lowest common multiple of l and 6.
66
Suppose 3*w + 21 = v, 4*w = 2*v - 13 - 19. What is the least common multiple of v and 18?
18
Calculate the lowest common multiple of (-6)/((-7)/(84/8)) and 16.
144
Suppose 4*c - 10 = -y + c, -y = -c - 2. Calculate the smallest common multiple of (0 - 1)*(-154)/11 and y.
28
Let g = 2 - 1. What is the least common multiple of 9 and (4 - g) + -6 + 6?
9
Suppose 8 = -3*n + d, d + d - 4 = 0. What is the common denominator of 309/(-12)*n/(-5) and 40/7?
70
Let o = 11881278117461/6417 - 1851531582. Let x = 3/713 + o. Calculate the common denominator of 22/9 and x.
9
Let a(g) = -3*g - 5*g**2 + 7 + 3*g**2 + g**2 - 3*g. Calculate the least common multiple of 22 and a(-5).
132
Let a = 2247802 + -24772714/11. Let l = -4266 - a. Let m = 1/587 - -74543/3522. Calculate the common denominator of l and m.
66
Let s(r) = -r**3 - 7*r**2 - 5*r + 2. Let m be s(-6). Let g be m/(-14) - (-132)/(-21). Calculate the least common multiple of 14 and g/(-5)*(-20)/(-6).
28
Calculate the common denominator of -91/58 and (-3 - -2)*(-270)/42.
406
Suppose -3*o - 7 = 5*f, 3*o = -0*f + 5*f - 17. Let x = -72 + 78. What is the least common multiple of