. What is the common denominator of s and 47/18?
18
Let d be (12/(-15))/(1/(-5)). Let o(n) = -d*n - 6 + n**3 + 0 + 0*n - 5*n**2. Calculate the smallest common multiple of 7 and o(6).
42
Let q(m) = m**2 - 3*m - 8. What is the least common multiple of 32 and q(7)?
160
Calculate the least common multiple of -2*2/30 - (-18662)/465 and 44.
440
Let g = 254327/1365 - 142/273. Let u = 351/2 - g. Find the common denominator of u and (1/(-30))/((-6)/279).
20
Let o = 3573/140 + -669/20. Let f = -11 - -7. What is the common denominator of o and ((-1442)/(-189))/(f/3)?
126
Let w = 117051332/32545 + -17983/5. Let f = -670463/78108 - w. Find the common denominator of f and 3 - 163/12 - -1.
12
Let w = 0 + 6. Let l = w + -3. Suppose -l*d = -4*u - 0*d - 1, 4*u = 5*d - 7. Calculate the smallest common multiple of u and 20.
20
Let i = -1558 + 24903/16. Find the common denominator of i and 3 + -2 + (-123)/10.
80
Let h = 198527/18 + -11026. What is the common denominator of h and (-345)/(-2)*8/72?
18
Let s(d) = -d**2 + 8*d - 2. Suppose 25*w = 23*w + 40. Calculate the lowest common multiple of s(6) and w.
20
Let a be 315/(-28) + (-2)/(-8). Let x = a + 15. What is the least common multiple of x and 4?
4
Let z be -101 - (-5 + 1)/(-4). What is the common denominator of (z/(-15))/(24/(-90)) and 51/8?
8
Suppose 0 = 3*h + h - 48. Let u = 14 + -6. What is the lowest common multiple of -3*6/(-27)*h and u?
8
Suppose 4*y - 3*c - 103 = 0, -y + c = -3*y + 39. Calculate the smallest common multiple of y and 6.
66
Let s(o) = o**2 - 7*o + 5. Let f be s(6). Let r be 3 + f + 10*-2. Let x = r + 25. Calculate the smallest common multiple of 1 and x.
7
Suppose -1 + 9 = 4*r. What is the lowest common multiple of r and 5?
10
Let u be ((-2)/(-6))/((-1)/(-21)). Calculate the common denominator of -71/6 and (u/(-8))/((-1)/6).
12
Let b(g) = g - 43. Suppose -3*q + 2*q = 134. What is the common denominator of (q/10*-1)/(-2) and b(0)?
10
Suppose 4*m - 10 = 10. Suppose 5*f - 40 = -3*y, 3*f + 52 = m*y - 3*y. What is the lowest common multiple of 14 and y?
140
Let z = -223 - -100. Find the common denominator of -1 + 4/(60/z) and 129/21 + 1*-2.
35
Calculate the lowest common multiple of 2 + 2*(-9)/(-6) and 2.
10
What is the smallest common multiple of 9 and 9 - (2 + (-3 - 0))?
90
Let a = -80081/1686 - 2/843. Find the common denominator of -37/12 and a.
12
Let g = 4 + -9. Let x = g + 1. Calculate the lowest common multiple of (-20)/(x + 4 + -1) and 22.
220
Find the common denominator of 9/17 and (2 - 59/3)/(70/21).
170
Suppose -u = 5*b - 1, -b = 2*b + 3*u + 9. Find the common denominator of 31/4*(-32)/12 and b*-214*(-2)/40.
30
Suppose p + 8 = -3*p, -5*z + 5*p = -5. Find the common denominator of -115/12 and 336/(-88) - z/2.
132
Let w be (-3 - -2)/(1 - 0). Let y(h) = h**2 - 1. Let b be y(w). Suppose 4*x = -b*p - 4*p + 12, 0 = 4*p - 4*x - 36. What is the least common multiple of p and 9?
18
Let c = -194107/20 - -9702. Calculate the common denominator of 43/8 and c.
40
Let y be 0/1 - 4/(-4). Calculate the common denominator of -21*(58/54 - y) and -33/5.
45
Let l(i) = i - 11. Let w be l(10). Calculate the common denominator of 142/w*3/54 and 4/(-10) + 46/20.
90
Let t = -7 + 11. Let y be t/2 - (-35930)/(-24). Let d = 1497 + y. What is the common denominator of d and -7/2?
12
Suppose 0 = 4*y - 0*y - 4, -2*y = 5*t - 2. Calculate the common denominator of t - (-206)/(-8) - -2 and 30/28*20/(-4).
28
Let s = 1/9348 + -565559/46740. Suppose 19 = -c - 18. What is the common denominator of (3 - 3) + c/(-8) and s?
40
Let o = -8 + 5. Let r = o + 6. What is the lowest common multiple of r and (-180)/165*22/(-4)?
6
Let k(r) = 3*r**2 + 2*r - 1. Let c be k(-3). Suppose -3*v + c = 2*v. Suppose 0 = v*d - 5*d + 20. Calculate the least common multiple of d and 22.
220
What is the smallest common multiple of -2*17*(-17 - -15) and 22?
748
Let f(o) = o. Let m be f(-1). Find the common denominator of -43/2 and -67*(-3)/6 + m.
2
What is the common denominator of (-170)/28*(13 - 14) and -115/12?
84
Let r = -15878 - -35122135/2212. Let l = r - -74107/11060. What is the common denominator of l and -87/22?
110
Find the common denominator of (-38)/(-24)*(-12)/(-9) and (3/2)/(162/(-48)).
9
Let l(x) = x**3 + 4*x**2 - 8*x - 5. Let o be l(-5). Let f = -8/57 + 4535/228. Find the common denominator of f and 222/16*o/15.
4
Let v(j) = j**3 + 4*j**2 - 2*j + 4. Suppose 4 = -0*y - y - 4*c, 5*c = 5*y - 30. Calculate the smallest common multiple of v(-4) and y.
12
Find the common denominator of 3/(-18) - (-550)/(-84) and (-1*34)/((-9)/3).
21
Let z(j) = -12*j + 1. Let n be z(2). Let k = -9 - n. What is the smallest common multiple of k and 18?
126
Calculate the common denominator of 97/2 and 44/(-55) + (-186)/5.
2
Suppose -3*k - 45 = -8*k. Suppose 2*z = -4*t + 40, k = -5*t + 4. Let p = -927 + 6506/7. Calculate the common denominator of p and z.
7
Let o be 2 - (-3 - -1)/(-2). What is the smallest common multiple of 7 and -18*(o - (-6)/(-4))?
63
Suppose -2*b = -4*b + 3*y - 73, 4*y - 4 = 0. Let n(a) = a**2 - 4*a + 4. Let d be n(3). Calculate the smallest common multiple of (d - (-21)/(-15))*b and 20.
140
Suppose 6*i + y = i - 53, 4*i - 2*y = -34. Let p = 12 + i. Let j(c) = -10*c + 2. What is the smallest common multiple of j(-2) and p?
22
Let b(w) = -w**3 - 6*w**2 + 7*w - 8. Let g be b(-7). Let j = -5 - g. Let x(k) = -k**3 - 4*k**2 + 3. What is the lowest common multiple of j and x(-4)?
3
Let i = -7952/11 - -722. Let f = -235 + 495/2. What is the common denominator of f and i?
22
Suppose 0 = 4*u + 4*f - 84, 4*f - 12 = 4*u - 88. Suppose t + t = u. Calculate the smallest common multiple of t and 16.
80
Let u(f) = f**2 + 3*f. Let p be u(-5). Calculate the common denominator of 1884/440 + 4/p and 4/22 + 579/(-462).
154
Suppose -4*w = -7*w - 54. What is the smallest common multiple of 120/w*6/(-4) and 6?
30
Calculate the common denominator of (16 - 13) + 202/(-12) and -83/20.
60
Let c = -15 - -70. Let s = 752 + -3797/5. What is the common denominator of c/75*66/(-4) and s?
10
Let q(d) = d**3 + 13*d**2 + 18. Let u(x) = x**3 - 6*x**2 + x + 7. Let r be u(5). Calculate the least common multiple of 22 and q(r).
198
Let j(s) = -s**3 + 10*s**2 + 3*s - 4. Calculate the smallest common multiple of 8 and j(10).
104
Suppose -5*q + 14 = 2*s, 2*q - 8 = -2*q. Calculate the lowest common multiple of s and 1.
2
Suppose n = -3*j + 1 - 2, -5*j + 9 = 3*n. Suppose 0 = 2*y - 3*r + 8*r - n, -3*y = r - 12. Calculate the smallest common multiple of 16 and y.
16
Let b be -75*1*670/(-6). Let i = -117147/14 + b. What is the common denominator of i and -37/10?
70
Let l(q) = -q**2 + 8*q. Calculate the smallest common multiple of l(6) and 2.
12
Let f = 7/946 + -24179/7568. Find the common denominator of 51/20 and f.
80
Let z(r) = -17*r**3 + 2*r**2 + 4*r + 1. Let t(w) = w**3 + 6*w**2 - 2*w - 2. Calculate the smallest common multiple of t(-6) and z(-1).
80
Let s = 69613/29304 + -2/3663. What is the common denominator of s and (-1)/3 - (-82)/156?
104
Let p(m) = -5 - 2*m + 5. Let x be p(-6). What is the lowest common multiple of 1/2 - x/(-8) and 6?
6
Let f(b) = b + 5. Let k = -2 + -1. Suppose 4*t + 4*n - 16 = -0*n, 2*t - 28 = 3*n. Calculate the least common multiple of t and f(k).
8
Let h(i) = i**3 - 4*i**2 - 12*i + 5. Let n be h(6). What is the common denominator of 99/(-35) - (-2)/n and 1/11?
77
Suppose -2*x = -4*x + 14. Let n = -17 - -24. What is the smallest common multiple of n and x?
7
Suppose 0 = z - 5*s - 42, -3*s = 7*z - 2*z - 98. What is the lowest common multiple of z and 6?
66
Let l(x) = -x**3 + 5*x**2 + 2*x - 7. Let w be l(5). Let z be w/63*(-26)/14. Let c = z - -6451/1470. Find the common denominator of c and 77/4.
20
Suppose -4*r + 0*r - 4 = 0. Let k(g) = -11*g - 2. Calculate the lowest common multiple of k(r) and 1.
9
Suppose 0*b + b + 6 = 0. What is the common denominator of -81/22 and 3/b + (-27)/24?
88
Let y = 23327/130 - 3036/13. Let z = y + 54. What is the common denominator of (-3)/20 - (-2)/8 and z?
10
Calculate the smallest common multiple of (-6)/(-14) - 20/(-35) and 5.
5
Suppose 12 = -7*r + 10*r. What is the smallest common multiple of 10 and r?
20
Let a = -12 - -23. Suppose -5*c + 9 = -a. Suppose 5*w - 35 = -5. Calculate the least common multiple of w and 