on denominator of 51*((-2)/6)/(68/(-51)) and (-4)/14 + (-218)/(-126)?
36
Let k = 4695 + -28253/6. Suppose j + 642 = -0*j. Let u = 10309/16 + j. What is the common denominator of u and k?
48
Let o = 21 + -10. Suppose 4 = k - w, -5*w = 5*k + 4 - 34. Calculate the lowest common multiple of o and k.
55
Let r(y) = -y**3 - 3*y**2 + y - 4. Let f be r(-3). Suppose -4*l - 3*b = -13, 3*l + 4*b = 10 + 5. Calculate the least common multiple of 8 and -2 - l/(-1) - f.
24
Let g = 227673/15436 - -2/3859. Let r = 531699/325 - 1636. Let y = r - 22421/1300. Find the common denominator of g and y.
4
Let v(m) = m**2 + m - 2. Let d be v(-2). Suppose 0 = 3*c - 26 - 46. Suppose 2*u = q - d*q - 4, 4*u = -2*q + c. Calculate the least common multiple of 10 and q.
40
Let l be ((-6)/(-5))/(12/40). Suppose -50 = -l*k - 2. What is the lowest common multiple of 12 and k?
12
Let y = 5 + -2. Suppose f = y*f + 4. What is the common denominator of f/6 + (-173)/(-15) and 31/8?
40
Suppose -4*x = 2*o - 122, -2*x + 183 = 3*o - 0*x. Calculate the lowest common multiple of 11 and o.
671
Let b be 6/(-9) + (-645)/(-9). Suppose 5*r = p - 4*p - b, 2*p = r - 69. Calculate the common denominator of (123/(-42) - -3)*p and 13/10.
70
Suppose 0 = 2*q + 2*k - 12 - 2, -2*q + 3*k = -14. Suppose 9 = 4*s - q. What is the lowest common multiple of 6 and s?
12
What is the common denominator of -8/3 and -2*156/40 + 0?
15
Suppose 0 = -7*d + 2*d + 5. Suppose o + d = -4*m - 5, 5*m = -2*o. Let k = 5 + 7. Calculate the lowest common multiple of o and k.
60
Let g = 1 - 2. Let z(t) = 17*t**2 + t. Let m be z(g). Calculate the common denominator of 15/m + (-5 - -6) and 47/20.
80
Calculate the common denominator of -23/9 and 2 - -3 - (-2761)/(-330).
90
Let i be (-1)/((-2)/12*-1). Let t be i/((30/(-1064))/5). Let k = t - 14963/14. Calculate the common denominator of 59/18 and k.
126
Let o = -682621729 - -8392151524769/12294. Let x = -3/683 + o. Calculate the common denominator of x and -107/22.
198
Let g = -22/41 - -833/1476. Find the common denominator of 95/14 and g.
252
Suppose 20 = 6*v - 34. What is the lowest common multiple of v and 27?
27
Let q be (-4)/6 - (-905)/1344. Let r = 3781/4032 + q. Calculate the common denominator of r and 7/4.
36
Let i(h) = -h**3 - 4*h**2 + 4*h - 4. Let p(f) = -2*f + 2. Let a be p(4). Let l be i(a). What is the smallest common multiple of 14 and 8/12 - l/(-6)?
56
Let p(x) = -x**2 - 10*x - 7. Let l be (-6)/2 + -2 + -12. Let v = 10 + l. Calculate the lowest common multiple of 20 and p(v).
140
Let h = -229737/36134 - -2/2581. Let w = -63229/140 - -3124/7. What is the common denominator of w and h?
140
Let r = -7602752/69405 + 3834/35. Let q = -35684/9915 - r. Calculate the common denominator of 45 and q.
5
Let l be ((-28)/9)/((-4)/1842). Let u = l + -34579/24. Let d = -423373/18 - -23528. What is the common denominator of u and d?
72
What is the least common multiple of 24 and (-10)/3*(-72)/20?
24
Suppose 5*i - 28 = 4*d, -3*i + 2 = 3*d - i. Calculate the common denominator of 1/((-30)/(-363)) + d and 1/4 + 764/(-80).
10
Let x = -22758 - -500785/22. Let j(g) = -3*g - 2. Let p be j(-6). What is the common denominator of x and (-154)/p - (-9)/12?
88
Let f be -1*(-2)/4*0. Let l = 1819/3 - 600. Find the common denominator of (-57)/6 + 1 + f and l.
6
Let t = -3983997/7 + 568154. Let w = -983 - t. Calculate the common denominator of -43/5 and w.
35
Suppose 4*q = 3*k + 2*q + 18, 3*k = -4*q. What is the smallest common multiple of (1 + k/3)*-12 and 20?
20
Suppose 5*s - 197 - 143 = 0. Suppose 2*n - 20 = 2*f, -s = -4*n - f - 2*f. What is the least common multiple of n and 10?
70
Suppose -4*q = -10*q + 60. Let n be -1 + 5 + 1 + 1. Suppose n*v - v - 10 = 0. What is the smallest common multiple of q and v?
10
Suppose 0 = 6*v - 7*v + 3. Calculate the smallest common multiple of v and 6.
6
Let t(y) = -3*y + 14. Calculate the least common multiple of t(0) and 32.
224
Suppose 0 = 3*k - 5 - 1. Suppose -4*l = -6 - k. Calculate the lowest common multiple of l and 12.
12
Let c = -1 - -1. Suppose c = -3*p + 6 + 18. Let t = 671 - 665. What is the smallest common multiple of t and p?
24
Suppose -23 = -9*y + 76. What is the lowest common multiple of y and 8?
88
Let x be (16/(-5))/((-6)/15). What is the least common multiple of (-1 - -4)/(3/x) and 2?
8
Let p(k) = -k + 19. Let w be p(16). Suppose -3 = w*g - 57. What is the smallest common multiple of g and 4?
36
Let m(q) = -q**3 + 10*q**2 - 8*q - 11. Let r be m(9). Find the common denominator of r/4 - (-22)/12 and -58/7.
21
Let l = 1087 - 3232/3. Let y be (0 + 1 + 1)*7. What is the common denominator of l and (-16)/y - (-1)/(-1)?
21
Let t(s) = s**2 - 12*s + 11. Let m be t(11). Suppose a + 5 = m, -5*h - 2*a = -3*a - 25. Calculate the least common multiple of h and 12.
12
Suppose -4*v - 5 = -9. Find the common denominator of v + (-1 - 3/(-30)) and 95/18.
90
Suppose -2*t + 2*w + 90 = -12, -57 = -t - 2*w. Let u(b) = 38*b**3 - 2*b + 1. Let v be u(1). Let n = t - v. What is the smallest common multiple of 22 and n?
176
Let b be -3 - (-16)/(-2) - 1. Find the common denominator of (-30)/8*b/(-42) and -91/6.
42
Find the common denominator of 46/7 and 3 - 1*(-88)/28.
7
Let c be 3/1 - 123985/15925. Let u = 1/6370 - c. Let f = -2/8849 + 858357/17698. Calculate the common denominator of u and f.
14
Let h(r) = r + 18. What is the lowest common multiple of 82 and h(-6)?
492
Let q = -726788277/133 - -5464602. Let l = q - -3/266. Calculate the common denominator of l and -91/10.
10
Let q(h) = -2*h + 44. What is the least common multiple of q(8) and 20?
140
Let j = -569/14 - -36/7. Calculate the common denominator of j and -75/14.
14
Let w = 11297/6 + -1861. Suppose -3*c + 37 = -5*n - 10, -3*c = 5*n - 7. Find the common denominator of w and 3/c - 154/48.
24
Let a = -824756311453/1268931780 - -10/7049621. Let r = a - -5878/9. Find the common denominator of r and 137/12.
60
Let c(p) = 2*p**3 + p. Let n be c(1). Suppose 0 = -2*k, 0*k - 4 = -v - n*k. What is the lowest common multiple of v and 11?
44
Let r be (4/(-7))/((-14)/49). Let k = r + 10. Calculate the smallest common multiple of 16 and k.
48
Let f(m) = m**3 - 4*m**2 + 2*m - 4. Let p(q) = 6*q**3 - 19*q**2 + 11*q - 19. Let z(c) = -11*f(c) + 2*p(c). What is the least common multiple of z(-6) and 1?
6
Let w = 106 - 84. What is the lowest common multiple of 6 and w?
66
What is the common denominator of (1/10)/(3/(-36)) and ((-108)/(-15))/1 - 2?
5
Let r = 26745 + -18485. Let o = 148579/18 - r. Find the common denominator of o and (-58)/25*(-10)/16.
180
Let m = 87 - 65. What is the least common multiple of m and -1 + 2 + (17 - 2)?
176
Let o(l) = -l**3 - 2*l**2 + 3*l + 2. Let r be o(-3). What is the common denominator of (-13)/(-4)*(9 - r) and 57/14?
28
Let k(m) = m**3 - m + 3. Suppose -13 - 32 = -5*f. Calculate the smallest common multiple of f and k(0).
9
Let y = -163/126 + -59/18. Find the common denominator of 17/2 and y.
14
Let u = -2 - -6. Suppose -9 = -u*y + 23. Calculate the lowest common multiple of 4 and y.
8
Suppose 0 = -5*v + 3*v. Find the common denominator of 22 and v.
1
Suppose -1 = u + 5. Let i be (-2)/6 + (-20)/u. Let w = i - 1. What is the least common multiple of 10 and w?
10
Let d(w) = w**2 - 4*w + 22. What is the lowest common multiple of 12 and d(5)?
108
Let u = 18 - 8. Suppose -p - 15 = -5*p - i, -2*p + i + 9 = 0. Suppose f = -p*f + u. Calculate the least common multiple of 20 and f.
20
Let t be (-2)/3*(-36)/(-8). Let i be (-11)/t*3 - -3. What is the common denominator of -49/4 and (-209)/70 + 4/i?
20
Let h(s) = -15*s. Let c be h(6). What is the common denominator of -59/7 and 736/c - (-16)/(-72)?
35
Let p be (-1 - -3)*(-2)/(-4). What is the common denominator of 33/(-12)*-5 + p and -83/20?
20
Suppose 2*v + v - 6 = 0. Suppose 4*o = -v*m + 8, 4*o - 14 = -3*m - 4. What is the lowest common multiple of 14 and m?
14
Suppose -d = -2*u + 13 + 9, -4*u = 3*d - 34. Calculate the lowest common multiple of u and ((-2)/2)/(2/(-28)).
70
Let w = 27 + -25. Suppose 10 = 2*c - w*s, 3*c = c + 4*s + 18. Calculate the lowest common multiple of c and 2.
2
Suppose -23*n + 240 = -3*n. Calculate the lowest common multiple of 6 and n.
12
Suppose 5*o = -5*a + 55, a + a - 6 = -o. What is the lowest common multiple of o and 4?
16
