
4
Find the common denominator of 57/4 and (500/(-255) + (-1 - -3))*-9.
68
Find the common denominator of ((-1)/2)/((-6)/111) and (0 + -25)*6/12.
4
Let j(z) = 7*z + 4. Let g be j(4). Calculate the common denominator of -23/20 and (-322)/8 + (-8)/g.
20
Suppose -3*u + r + 38 = -r, 4*r - 24 = -4*u. Let f = -11 - -19. What is the smallest common multiple of f and u?
40
Let s = -27 - -73. Let n = s - 28. Calculate the smallest common multiple of n and ((-28)/(-2))/(1 - 0).
126
Let i = -7 - -11. Suppose -6 = i*x - 5*x. What is the smallest common multiple of 10 and x?
30
Suppose 0 = 4*r - 4*c, 2*r = -3*c + 10 - 0. What is the common denominator of -53/2 and r/2 - (-86)/(-6)?
6
Let s(a) = a**2 + 4*a + 2. Let f be s(-3). Let r = f - -4. Suppose -10 - 2 = -r*w. Calculate the least common multiple of w and 2.
4
What is the common denominator of -71/39 and -21 + 19 + (-322)/(-120)?
780
Let m(l) = -l**2 - 3*l - 3. Let n be m(-2). Calculate the least common multiple of 2 and -1 + (9 - (1 - n)).
6
Let v = 5979 - 9780. Let g = 437121/115 + v. Let m = g - 11433/920. Find the common denominator of m and -59/5.
40
Let t be 0 + -1 - (3 + -6). What is the least common multiple of (8/2)/(-1 + t) and 4?
4
Suppose 0 = -2*q - 11 + 51. Calculate the lowest common multiple of 32 and q.
160
Let j be 6/4*(-32)/24. Let h(r) = 2*r**3 + 2*r**2 - 2*r. What is the common denominator of h(j) and -7/4?
4
Calculate the least common multiple of (-108)/(-21)*42/9 and 8.
24
Let f = 8 + 12. Calculate the smallest common multiple of 18 and f.
180
Let i = 25 - 4. Suppose -4*c = 3*h + c - i, -3*h + 3*c = 3. Calculate the lowest common multiple of h and 5.
10
Let q be 1 + 1 - (4 - 3). Let x = q + 5. Let v(p) = -p**2 + 7*p. Calculate the smallest common multiple of v(x) and 8.
24
Suppose -4*j = 16 - 64. Suppose -3*g - 4*t + 20 = 7, -2*t + 14 = 4*g. Suppose g*b - 4 = 2. What is the least common multiple of j and b?
12
What is the lowest common multiple of 20 and -2 + -1 - (-9 + -1 + -2)?
180
Suppose 5*i = -16 - 124. Let y = -4053 + 24227/6. Calculate the common denominator of y and (6/(-15))/(i/415).
42
Let i be (-4)/10 - 14502/(-5). Let h = i + -20337/7. Calculate the common denominator of 70/3 and h.
21
Let r(l) = 2*l**2 - 7*l + 6. What is the lowest common multiple of r(4) and 14?
70
Suppose -g + 25924 = -4*a + 3*g, -32409 = 5*a - 4*g. Let o = -116693/18 - a. Calculate the common denominator of o and ((-89)/12)/1 + -3.
36
Let m(v) = 5 - 5*v - 2*v + 9*v - v**2. Let x be m(-5). Calculate the common denominator of -145/18 and ((-86)/x)/(8/20).
18
Let k be (1 + -4)/(3/14). Let u = -638/21 - -98/3. Find the common denominator of 13/k + 2/4 and u.
7
Let l = 81 + -35. Calculate the smallest common multiple of 6 and l.
138
Let s(c) = -c**2 - 9*c - 2. Let p be s(-8). Calculate the common denominator of 11*p/(-4)*3 and 1/(-3)*(-83)/(-2).
6
Let k be 3*((-24)/(-9) - 2). Suppose -5*i - 4*u + 72 = 0, 12 + 28 = k*i - 4*u. What is the smallest common multiple of i and 14?
112
Find the common denominator of (213/(-15))/((-9)/15) and 151/6.
6
Let z = -82792/10615 + -1/2123. What is the common denominator of (-4)/18 - (-208)/45 and z?
5
Let q = -64 - -70. What is the least common multiple of 12 and q?
12
Calculate the smallest common multiple of 33 and (-6)/(-18)*45/1.
165
Let n be (-2892)/(-1498) + 6/(-21). Let w = n + -16343/1284. Find the common denominator of w and -109/12.
12
Suppose -2*s + 30 = s. Suppose 4*g - 1 + 0 = -t, 3*t - g - 29 = 0. What is the lowest common multiple of t and s?
90
Suppose 3*b - 8 = 1. Suppose -b*m = -7*m - 80. What is the common denominator of (3/7)/(m/462) and -23/2?
10
What is the lowest common multiple of 3 and 10/(-15) - (-32)/3?
30
Let t = 3 + 0. Let u be (-4)/10 + (-32)/(-5). Suppose t*p = -u + 18. What is the least common multiple of 4 and p?
4
Let q = -15/5764363 + 38142806981/6536787642. Let v = q - 1/567. Find the common denominator of v and -111/20.
60
Let k = 22 + -17. Suppose 2*o - 4*o = -20. Calculate the lowest common multiple of o and k.
10
Let v = -6/151 - 11157/4228. Calculate the common denominator of 35/8 and v.
56
Let n = -2760 - -57977/21. Find the common denominator of 8/3 and n.
21
Let c = 2 + -1. What is the common denominator of (-138)/16*(c - 5) and (-532)/(-288) - (-4)/(-18)?
8
Let s(y) = -y + 6. Let j = 7 + -3. Let c(h) = h**2 + 4*h + 2. What is the lowest common multiple of s(j) and c(-6)?
14
Let t = 3449/1090 - 7/109. Find the common denominator of 143/6 and t.
30
Suppose -2*v - 2*v - 40 = 0. Let y(i) = i**3 + 9*i**2 - 10*i + 1. Calculate the lowest common multiple of 10 and y(v).
10
Suppose -5*c - 8 = -3*d + 16, 2*d = 6. Calculate the smallest common multiple of -1*(c - -1)/2 and 8.
8
Let k(g) = -160*g**2 + g + 5. Let d be k(-6). Let p = d - -46149/8. Calculate the common denominator of 57/8 and p.
8
Let m = -677 - -2663. Let t = m - 11957/6. What is the common denominator of -42 and t?
6
Let f be (18/5)/(2/5). What is the common denominator of f/36*(-73)/(-2) and -29/9?
72
Let k be 49 + 0 + (-3)/1. Suppose 5*m + 3*t + k = -247, 4*m - 3*t + 229 = 0. What is the common denominator of 59/5 and -6*m/(-16)*2?
10
Let j(a) = -a + 14. Let d be j(12). What is the common denominator of -1 + d - 242/(-24) and -49/20?
60
Suppose -2 = 2*r, -5*r - 9 = -2*y - 4. Suppose 3*t + 3 - 36 = y. What is the lowest common multiple of t and 6?
66
Let m = -3491/22 + 159. Calculate the common denominator of 103/12 and m.
132
Let x be (105/4)/((-1)/(-4)). Suppose x = 4*j - j. Calculate the common denominator of j and 34/7.
7
Suppose 49 = -4*y + 81. Calculate the lowest common multiple of y and 8.
8
Suppose -4 = -4*a + 4*n, -5*a + n - 1 = 10. Let y = a + 11. Calculate the smallest common multiple of 11 and y.
88
Let y = -719633/26 - -27674. Calculate the common denominator of -127/12 and y.
156
Suppose 6*x - 8 = 124. What is the smallest common multiple of x and -1 + -2 + -2 + 7?
22
Let q = 507 - 8099/16. Calculate the common denominator of 125/18 and q.
144
Suppose 4*d = -2*k + 26, k + 2*k = d + 4. Suppose 0 = 5*s + 3*x - 2, -x = 2*s - k*s - 6. Calculate the common denominator of (-2 - 22/(-7))/s and -47/8.
56
What is the common denominator of ((-2)/24)/((-3)/453) and 2/4 - ((-130)/18)/1?
36
Suppose 0 = 5*q + 2*n - 5 - 37, 3*q = n + 23. Calculate the lowest common multiple of 18 and q.
72
Suppose 5*x + 35 = -3*c, x - 7*c + 3*c = -30. Let w = 20 + x. Calculate the smallest common multiple of w and 3.
30
What is the common denominator of (1/(-4))/((-8)/(-10)) and 0/(4/(-2)) - 276/8?
16
Let n(o) = o**3 - 5*o**2 + 6*o - 6. Calculate the smallest common multiple of n(4) and 20.
20
Let g be (-83)/4 - (-1)/(-4). Let h be 0/(-3) - (0 + 2). Calculate the lowest common multiple of 12 and (g/(-14))/(h/(-24)).
36
Let u(h) = -h**2 - 9*h - 8. Suppose 2*y - 5*k = 3*y - 33, -5*k = -25. Calculate the lowest common multiple of y and u(-6).
40
Let w(g) = 3*g - 8. What is the lowest common multiple of w(6) and 6?
30
Suppose 6*h = 10*h - 224. Find the common denominator of 1972/h - (-4)/14 and 2/2 + (-16)/(-5).
10
Find the common denominator of 1/3 - (-137)/(-24) and -16 + 6/(3 + -1) - -4.
8
Let q(o) = o**2 + 3*o. What is the smallest common multiple of q(-5) and 10/(-30) - (-1 - (-20)/(-6))?
20
Suppose 4*i = 3*i - 2319. Let w = i - -69563/30. Calculate the common denominator of 29/6 and w.
30
Let i = -18713/2586 - -30/431. What is the common denominator of (-118)/(-18)*(-2)/(-2) and i?
18
What is the smallest common multiple of 12 and ((-3)/4)/(0 + 1/(-8))?
12
Let m be -2 + (3 - 2) + 3. Suppose -w + 4 = -m. Let f(p) = -9*p**3 + 1. Calculate the least common multiple of f(-1) and w.
30
Let d = 55/4462 - -22/97. What is the common denominator of 71/16 and d?
368
Suppose -z = 2*z - 240. What is the common denominator of 17/22 and (-3 - (-364)/z) + -1?
220
Suppose 2*a - 54 = -a. Suppose -r = -2*r + 2. Suppose -r*j + 0 = -24. Calculate the lowest common multiple of j and a.
36
Calculate the common denominator of 32/5 and ((-6)/(-8))/(21/994).
10
Let i = -7001 - -69943/10. Let a = -41937223029/940 - -44614079. Let q = a + -22/705. Find the common denominator of i and q.
60
Let p = 7621/14 - 3792/7. What is the common denominator of 1 + (-110)/(-36) + -3 + 1 and p?
126
Let r be 2/1 - 2*1. 