0. Find the common denominator of 47/4 and m.
28
Let m be (-39538)/(-92)*(330171 + -4). Let v = m + -586659688530107/4134526. Let y = -2/8171 - v. What is the common denominator of y and 57/7?
77
What is the common denominator of 5/80*-2*89 and -23/14?
56
Let s be 112/(-6)*(7 - 4). Let q = -40 - s. Suppose 29 = 3*z - 7. What is the least common multiple of q and z?
48
Let v be (-4)/(-8) + 1/(-2). Let b be (4/5)/((-2)/(-25)). Suppose v = -g + 6*g - b. What is the least common multiple of g and 7?
14
Let n(h) = h**2 + 4*h + 2. Let g be 33/(-7) + 2/(-7). Calculate the smallest common multiple of 8 and n(g).
56
Let b = -10 + 18. Let y be 1/4 - (-220)/16. Let h = y - 10. Calculate the lowest common multiple of b and h.
8
Let k = -191873/12 - -15977. Let y = -6 - 2. Calculate the common denominator of 111/(-20) - 4/y and k.
60
Let x be (-1 + -1)/(7/(-84)). Suppose -x = 4*v + 24. What is the common denominator of 15/50*(-50)/v and -83/10?
20
Suppose -32 + 50 = 3*v. What is the least common multiple of 18 and v?
18
Let a be (-4)/14 + 5137185/700. Let k = a + -7342. Let q = 146573/18 - 8145. Find the common denominator of k and q.
180
Let q(t) = -3 - 2 + 81*t + 4. Let w be q(1). What is the lowest common multiple of (2 + -1)*w/4 and 12?
60
Let t = -23359/38719 - 12/1249. Find the common denominator of t and 101/2.
62
Suppose 7 = -t + 3*j, t = -j - 3*j + 14. Calculate the smallest common multiple of 6 and t.
6
Let a = -78 + 0. What is the common denominator of 11/10 and ((-4)/(-12))/(22/a)?
110
Let q = -3 - -13. Let d(o) = 2*o**2 - 4*o + 2. What is the lowest common multiple of d(4) and q?
90
Suppose f + 3*o - 20 = 0, 0 = -3*f + 2*o - 4*o + 32. Let c(k) = -k**3 + 7*k**2 + 8*k + 12. Calculate the least common multiple of c(8) and f.
24
Suppose -4*m = -67 - 17. What is the lowest common multiple of 18 and m?
126
Let l(q) = 50*q**3 - 2*q**2 + 5*q + 4. Let w be l(-3). Let s = 6921/5 + w. Calculate the common denominator of (-1)/(-2) - 106/36 and s.
45
Let c = 60471/11800 - -1/2950. Find the common denominator of c and -5/16.
16
Let u = 4/1077 + 91529/4308. What is the common denominator of -47/26 and u?
52
Let n = 44 + -126. Let m = 637/8 + n. What is the common denominator of 73/10 and m?
40
Let u(d) = -d - d + 3*d + 2 + 3*d. Calculate the least common multiple of 5 and u(2).
10
Let a(w) be the first derivative of 5*w**4/4 - 2*w**3/3 + w**2/2 - 7. Let i be (-1)/2 - (-6)/4. Calculate the least common multiple of a(i) and 10.
20
Suppose -2*f - f = -15. Let k be 1 + (f + -2)/3. Suppose -4*l + 56 = -2*r, k*r = -3*r + 20. Calculate the common denominator of l and 97/8.
8
Let p = 1913 + -19093/10. Let c = 52142/237 - -684/79. Let d = c + -1451/6. Find the common denominator of p and d.
30
Let u(l) = l - 84. Let p be u(0). Let q = 25313/6 - 4209. Find the common denominator of q and 218/p - (-8)/12.
42
Let b be -7*(1 + (-10)/14). Calculate the smallest common multiple of 2 and b/(-8) + 609/28.
22
Let x = -9 - -16. Suppose -2*i = -0*i + 78. Find the common denominator of i/x + (-3)/3 and 1/2.
14
Let w be ((-3)/8)/(1/(-101)). Let n = 38 - w. What is the common denominator of (2/56)/((-28875)/(-3210) - 9) and n?
56
Suppose 2*b - x + 6 = -3*x, -5*x = 2*b + 9. Let m = 2383 + -14369/6. Find the common denominator of b/(-3)*20/8 and m.
6
Suppose -4*x = -9*x - 35. Let j = -1 - -12. Let g = x + j. What is the lowest common multiple of 8 and g?
8
Let m(b) be the second derivative of b**4/12 - b**3/6 - 6*b**2 - b. Let z be m(0). What is the common denominator of 23/3 and (-183)/z*4/3?
3
Suppose 0 = 2*k - 2*o - 44, 0 = 2*k - o - 6 - 36. Suppose -2*d + 50 - 18 = 0. What is the least common multiple of d and k?
80
Let g(a) = 6483*a - 1. Let k be g(4). Suppose -3*i - k = -701. Let v = 117809/14 + i. Calculate the common denominator of -79/18 and v.
126
Suppose 5*a - 34 = -2*w, -2*w + 37 = 5*a - w. Suppose 4*g + 4 = 4*m, 14 + 11 = 3*g + 4*m. What is the lowest common multiple of a and g?
24
What is the common denominator of (194/(-2))/((-10)/(-5)) and -35/3?
6
Suppose 0*o = -4*x + 3*o + 12, 5*x = -2*o + 38. What is the least common multiple of x and 12?
12
Let v = 137779/18 - 7659. Find the common denominator of v and -99/16.
144
Let f(b) = b**2 + 7*b - 10. Let o be f(-8). Let l be (-2 - -4)*267/o. What is the common denominator of (2/(-4))/(3/l) and -53/8?
8
Let n(o) = -2*o - 3. Let u = -2 - 0. Let s be n(u). What is the lowest common multiple of 16 and ((-35)/(-15))/(s/6)?
112
Suppose 0 = -6*d + d - 35. Let g = d + 12. Find the common denominator of (1 + g)/((-42)/(-52)) and -33/2.
14
Find the common denominator of (-309)/(-36) + 1 + 1 and 29/6.
12
Suppose -4*q - 25 = w, -w + 22 = -3*q - 5*w. Let u = -1618 + 8141/5. What is the common denominator of u and 20/11*(-15)/q?
55
Let v = 161/2 + -72. Find the common denominator of v and -1/70.
70
Let j be -15*3/(45/(-12)). Let o = j + 8. Let u = o - 14. What is the least common multiple of 22 and u?
66
Calculate the common denominator of ((-56)/(-16))/(-7) - 55/46 and 41.
23
Let m = -14 + 10. Calculate the smallest common multiple of (-14)/(-2) - (m - -1) and 1.
10
What is the common denominator of -67/27 and (-58)/16 - (-2)/(2*-6)?
216
Let s(d) = d**3 + 7*d**2 + 4*d + 2. Let t be s(-6). What is the common denominator of 1/((3/(-36))/((-39)/(-60))) and 1 + (-64)/t + 0?
35
Let u = -4 + 11. What is the smallest common multiple of 8 and u?
56
Find the common denominator of 38/24*-1 + (1 - 0) and (51/(-66))/(2/(-6)).
132
Let y = 0 + -1. Calculate the lowest common multiple of 8/(-1)*(-4 + 2) and y - (-18 + (-2)/2).
144
Calculate the smallest common multiple of 2 and ((-6)/(-4))/(3/44).
22
Let d = -19401/10 + 1936. Calculate the common denominator of d and -1*58/(-5) + 1.
10
Let o be 7/(-21) - 56/(-6). Suppose 2*a = o + 5. What is the smallest common multiple of 5 and a?
35
Suppose -4*l + 13 = -3*l + 5*f, -f = -4*l + 73. What is the least common multiple of 2 and l?
18
Suppose 5*p - 50 = -5*j, 0*p - 38 = -3*p - 5*j. What is the common denominator of 56/3 and 303/4*(-4)/p?
6
Let v = -26 + 44. What is the lowest common multiple of 4 and v?
36
Suppose 2 = -4*t - 14. Suppose 0 = 4*p + 3*r + 2*r + 23, 9 = -3*r. Let g = p - t. Calculate the smallest common multiple of g and 9.
18
Let p = -70973/7192 - 6/899. Calculate the common denominator of p and 159/(-120)*(-4)/2.
40
Let z = -34 + 17. What is the common denominator of 93/2 and (-2 - 15/(-8))*z?
8
Let h = -17 + 25. What is the smallest common multiple of h and 8?
8
Let h = -745/4 + 183. Calculate the common denominator of -13/18 and h.
36
Let i = 24251 - 1867379/77. What is the common denominator of i and -64/3?
231
Let s = 3 - 6. Calculate the smallest common multiple of 51/12 - s/(-12) and 5.
20
Let n be 14/4*(-1417)/(-4). Let u = 1249 - n. Find the common denominator of u and 113/20.
40
Let t = 242 + -439/2. Let w = 1323/20 - 312/5. Calculate the common denominator of w and t.
4
Let x(c) = -39*c + 5. Let p be x(-4). Let b = p + -104. Let k = b + -35. What is the smallest common multiple of 22 and k?
22
Let d(j) = j - 3. Calculate the smallest common multiple of 0/(-2) + (-2)/(-2) and d(6).
3
Suppose 6*a - 2*a + 8 = 0. Calculate the common denominator of -15/4 and a/7 - (-579)/42.
4
Suppose -2*m + 4 + 8 = 0. Suppose -m*o + 2*o = -52. Suppose 2*b - o - 19 = 0. Calculate the lowest common multiple of 2 and b.
16
Suppose 48 = 2*k - 5*y, k + 2*y - 1 = 23. Suppose 5*t + 5*n - 95 = 0, -k = -4*n - 4. Let f = t - -2. Calculate the lowest common multiple of 22 and f.
176
Suppose -p + 2*y = 1, y = -p + 6*y - 16. What is the smallest common multiple of 3 and p?
9
Suppose 3 = 3*y - 5*b, -5*y + 3*b = 2 - 23. What is the lowest common multiple of 6 and y?
6
Let r = -6 + 15. Let f = r - -1. Calculate the common denominator of -44/9 and (4/(-16))/(f/(-44)).
90
Suppose -6*v - 8 = 52. Calculate the common denominator of (v/50)/(28/(-570)) and -9/10.
70
Let j(k) = 3 + 3*k - 5*k + 2*k - 2*k. Let f be j(3). What is the common denominator of (149/(-1))/(f - -15) and 75/8?
24
Let k = 14160631/54488 - 35328/139. Let t = -54/49 + k. Calculate the common denominator of t and 62/3.
24
Let w = -2770401/80 + 135661/5. Let m = 7495 + w. What is the common denominator of m and ((-3)/(-12))/(1/174)?
16
Suppose 4 = 3