0
Let k = 4305726857/810 - 5315713. Let s = k + -1/405. Calculate the common denominator of (-105)/(-36) + 3*(-2)/4 and s.
12
Suppose j + 0*j = 2*f - 42, -5*j - 100 = -5*f. Calculate the smallest common multiple of f and 16.
176
Suppose c = -c + 146. Suppose c = 5*x + 13. What is the lowest common multiple of 8 and x?
24
Suppose m + 2*m = -3. What is the least common multiple of 11 and m - -1 - -1 - -3?
44
Let r = 1 + 3. Suppose 0 = n + 4*i - 34, 0 = 5*n - n + r*i - 100. What is the smallest common multiple of 20 and n?
220
Suppose 3*o + o = 112. Suppose -9*u = -5*u - o. What is the smallest common multiple of u and (-6)/(-9) - (-28)/3?
70
Let p be (-20)/94*351/(-2). Let s = p - -15/94. What is the common denominator of -2 and s?
2
Let l = 1 + 3. Suppose -36 = -0*c - l*c. Suppose 26 = 5*g - 24. What is the smallest common multiple of g and c?
90
Calculate the least common multiple of 8 and (15/(-5) - 0)*-1.
24
Let p = 21 - 16. Calculate the lowest common multiple of p and (8 - -1)/3 - -2.
5
Let m = -12/89 - 4058/267. What is the common denominator of m and -59/10?
30
What is the lowest common multiple of 22 and ((-30)/20)/(6/(-224))?
616
Let l = -1306 - -3971/3. Calculate the common denominator of (6/(-66))/((-2)/(-16)) and l.
33
Let a = 1999 + 779. Let d = 27893/10 - a. Calculate the common denominator of d and 151/6.
30
Let f be ((-114)/9)/(4/38). Let d = f + 139. Find the common denominator of d and 34/3.
3
Calculate the common denominator of (-692)/126 + (-22)/77 and 11/24.
72
Let z(n) be the first derivative of -n**4/4 - 7*n**3/3 + n**2/2 + 7*n - 1. Let g be z(-7). Let v = g - -6. What is the lowest common multiple of 2 and v?
6
Suppose 62*q - 64*q + 12 = 0. Calculate the lowest common multiple of q and 26.
78
Let s(r) = 2*r - 7. Let j be s(5). Suppose -j*u + 6 = -0*u. Calculate the smallest common multiple of u and -4*(0 + (-2)/4).
2
Let o be (24135/(-30))/((-2)/(-4)). Let p = o + 9571/6. What is the common denominator of p and 9/5?
30
Let s = -11875/42 - -2062/7. Calculate the common denominator of ((-2)/(-12))/((-1)/103) and s.
6
Suppose 3*i = -5*k + 116, -3*k + 3*i + 2*i = -56. Calculate the lowest common multiple of 12 and k.
132
Let t = -11/21 + -19/21. Find the common denominator of t and 2 + -6 + (-82)/4.
14
Suppose 12*s - 24 = 9*s. What is the least common multiple of s and 50?
200
Calculate the common denominator of -1 + (0 - 29/(-6)) and (-97)/(-14) - (-4)/(-9 - -5).
42
Let y = 16 + -13. Calculate the lowest common multiple of 3 and y.
3
Suppose -6*j - 12 = -2*j - 4*g, -9 = 3*j + 4*g. Calculate the smallest common multiple of 3 and j - -4 - (-2 + 1).
6
Let m = 9 - 6. What is the common denominator of (-30)/(-4)*m/50 and 53/2?
20
Let q be (662/1)/(2/(-5)). Let p = q + 3215/2. Calculate the common denominator of p and 97/18.
18
Let t(w) = 2*w + 8. What is the lowest common multiple of t(0) and 120?
120
Suppose -5*c = 4*m - 87, 4*m = -4*c - 0*m + 72. Let l(q) = -2*q + 1. Let j be l(3). Let g = j + c. Calculate the least common multiple of 3 and g.
30
Suppose 3*m - 2*u = 20, 3*m - 5 = -u + 3. Suppose 3*w = 2*l + 16, 4*l + 12 = -m*w - 0*l. What is the smallest common multiple of 20 and w?
20
Let s = 4 + 2. Calculate the lowest common multiple of -12*((-1)/21 - 2/7) and s.
12
What is the lowest common multiple of 52/(-5)*(-10)/4 and 22?
286
Find the common denominator of (34/14 + -2)/(2/36) and 2/5 - 321/15.
7
Let w(f) = -f**3 + 6*f**2 + 5. What is the least common multiple of w(6) and 8?
40
Let a = 31 - 807/26. Calculate the common denominator of -2/9 and a.
234
Let p = 25 + -7. Let a = p + -13. Find the common denominator of 35 and (-4)/(-16)*124/a.
5
Suppose -s - 2*i = 2, -3*s + 36 = -3*i + 15. What is the least common multiple of 10 and s?
20
Let p(g) = -g**3 + 2*g**2 + g - 2. Suppose -2*x + 32 = -h + 6, -x - 86 = 4*h. Let d = 32 + h. Calculate the least common multiple of d and p(-2).
60
Let c = 49 - 92. Calculate the lowest common multiple of c/(-2) - (-12)/(-8) and 8.
40
Let u be (-6)/(-4)*8/3. Let q = u + -2. What is the smallest common multiple of q and 3?
6
Suppose -j - 4*n = -16, 0 = -2*j + 3*n - 2*n + 41. Let o = 53 - 25. What is the lowest common multiple of j and o?
140
Let l = -1339337/468 + 37254/13. What is the common denominator of 67/6 and l?
36
Suppose 4*x + x - 2*u - 33 = 0, 0 = 2*x + 5*u - 19. Let k(d) = -8*d. What is the lowest common multiple of x and k(-1)?
56
Find the common denominator of (-2)/13 - (-1299)/(-429) and 29/11.
11
What is the common denominator of (6 - 711/120)/((-6)/(-284)) and 31/18?
180
Suppose 68 = -2*k - 0*k. Find the common denominator of -107/10 and (9/252)/((-1)/k).
70
Find the common denominator of (146/(-30))/(36/(-45)) and 15/50*(-107)/(-6).
60
Let b be 1/(-2)*15781/6. Let d = -1317 - b. Let p = 2965/348 - -20/87. Calculate the common denominator of p and d.
12
Let u = 63 + -59. Calculate the lowest common multiple of 32 and u.
32
Suppose 11 = -5*k + 2*u, 2*u = -k - 3*u + 14. Let a be k/(-2)*-2 + 35. Suppose -j + a = 12. Calculate the smallest common multiple of j and 14.
154
Let y(q) = q**2 + 6*q + 7. Calculate the smallest common multiple of y(-7) and 11.
154
Suppose 0 = 79*l - 74*l - 70. Calculate the least common multiple of l and 14.
14
What is the common denominator of 30/(-45) - 530/96 and 25/8?
16
Let y be -1*(-1 - 0/(-1)). Calculate the common denominator of y*(-3)/(-30)*43 and -107/14.
70
Let s = 5 + -1. Suppose 25 = s*c + c. What is the smallest common multiple of c and (-1)/(-2) - 5/(-2)?
15
Let x = -4718/23 - -205. Let k = 373/138 - x. Find the common denominator of k and 59/36 + (-4)/18.
12
Suppose -4*u - 4*k = -u + 10, 0 = 4*u - 2*k - 16. Suppose 0 = 3*o + u*i - 20, -3*i + 6*i - 21 = -3*o. What is the common denominator of 19 and -3 - (201/o - 3)?
2
Let h = -269374 - -1370242/5. Let b = h - 4652. Let t = b + -539/10. Calculate the common denominator of -137/12 and t.
12
Suppose 0 = 3*d - 0*d - 39. Calculate the lowest common multiple of 18 and (-284)/(-13) - (-2)/d.
198
Let g = -109 + 157. What is the least common multiple of 8 and g?
48
Suppose 5*g - 14 = -5*j + 11, 4*g = 3*j - 1. Suppose 6*l - 2*s = 2*l + 14, g*l - 10 = 4*s. Calculate the lowest common multiple of l and 5.
15
Let m = -24773/10 - -2475. What is the common denominator of (-166)/(-18) - 21/7 and m?
90
Let a(m) = -m + 3. Let y be a(0). Suppose 0*i = -y*i + 6. Calculate the least common multiple of i and 16.
16
Let v(c) = c**3 - 8*c**2 + c - 3. Let y be v(7). Calculate the common denominator of 37/(-8) - (-1 - -2) and 110/y - (-4)/(-3).
72
Suppose n - 3 = 1. Let c be -4*(-1 - (-6)/n). Find the common denominator of -47/3 and c + -2*(-153)/42.
21
Let g(r) be the third derivative of -2*r**2 + 0*r + 0 - 2/3*r**3 - 3/4*r**4. Calculate the common denominator of -13/2 and g(-3).
2
Let s(q) = -3*q - 3. Let y be s(-6). Let r = y + -9. Calculate the least common multiple of r and (2 + -1)*10/2.
30
Let o = -4/1617 + -195617/16170. What is the common denominator of o and -79/32?
160
Suppose -2*m + 17 = 5*a, -a - 3*m + 3 = 2*a. Let z(t) = -t**2 + 7*t - 2. Calculate the least common multiple of 22 and z(a).
88
What is the least common multiple of (0 - (0 - 3)) + -3 - -24 and 9?
72
Let s = 8 + -33. Let x be (-2)/4 - s/10. Suppose -x*k + 16 = -0*k. Calculate the smallest common multiple of 10 and k.
40
Let j = 9 - 5. Let s(l) = -l + 2. Calculate the least common multiple of s(-10) and j.
12
Let g be ((-2)/(-3))/(6/27). Let b be (g/2)/(3/20). Suppose 0*s = -s + b. Calculate the lowest common multiple of 8 and s.
40
Let f = 30 - 22. What is the least common multiple of f and 9?
72
Suppose -31*x = -28*x - 63. Calculate the smallest common multiple of 6 and x.
42
Let r = 770 - -1584. Let q = 3933 - r. Let y = 6379/4 - q. Calculate the common denominator of y and 1/4.
4
Suppose 19 = p + 3. Suppose 16 + p = 4*s + 3*q, -5*s + 29 = q. Let d(t) = -t**2 + 8*t - 5. What is the lowest common multiple of 6 and d(s)?
30
Let h = -2/365 - -9131/1095. Calculate the common denominator of -6 and h.
3
Let c = -548307/22 - -24918. Find the common denominator of c and 3*(-114)/81 - 2.
198
Let t = 797/4 - 995/4. Let a = t - -433/9. Find the common denominator of 6/9 - (-42)/8 and a.
36
Suppose r - 3*r = -3*p - 2, 0 = -3*r - p + 14. What 