
Suppose 5*l - 3*h - 100 = 2*h, -5*l + 97 = -2*h. Let c = l + -14. Let d(j) = j**3 - 4*j**2 - 5*j + 6. Calculate the smallest common multiple of d(c) and 6.
6
Suppose -13 = -5*s + 2*m + m, 0 = -5*s - m + 9. Calculate the lowest common multiple of 10*(1 + s)*1 and 1.
30
Let a(r) = r**3 + 5*r**2 - 2*r + 4. Let n = -13 + 42. Suppose -4*d + 11 + n = 0. What is the least common multiple of d and a(-5)?
70
Let y = 73 + -82. Find the common denominator of ((-52)/(-12))/((-6)/y) and -53/28.
28
Let a = -14 - -24. Suppose -4*f - 2*s = -10, 192*f + 21 = 195*f - 3*s. Calculate the smallest common multiple of f and a.
20
Let d = -909483/32 - -28424. What is the common denominator of d and -111/28?
224
What is the common denominator of 83/28 and (-1196)/208 - (-3)/5?
140
Let w = -2/643 - 72647/3858. Find the common denominator of w and (1/18)/((-2)/(-411)).
12
Let s = -30 + 210. Suppose -6*k = -k + s. Find the common denominator of 146/48 - 8/12 and k.
8
Suppose 4*v - 7 = -19. Let k be (v - -1 - 1) + 47. Calculate the common denominator of 20/11 and ((-30)/k)/(5/(-30)).
11
Let x = 860 - 1271. Calculate the common denominator of 2 - (x/45)/((-39)/9) and 73/6.
390
Let z(k) = -3*k - 11. Suppose 3*x - x = 2*p - 14, -5*p = 2*x. Let h be z(x). What is the common denominator of 2/h + 2/(-16) and 19/4?
8
Let z be 5/(3*(-3)/108). What is the common denominator of 20/25 - 62/z and 14/(-4)*(-18)/(-14)?
6
Let p = -15971/3339 + 2/371. What is the common denominator of p and 71/4?
36
Let s(i) = i**3 - 4*i**2 - 2*i + 2. Let z be s(4). Find the common denominator of -167/30 and (-5121)/(-540) + z/(-10).
60
Let l = 222231 - 1337291/6. Let v = -649 - l. What is the common denominator of 29/4 and v?
12
Suppose 3*q + 5*p = 14, 4*q - q = -3*p + 6. Find the common denominator of -32 - (1 + (-2)/4) and (3/18*(-159)/2)/q.
8
Let f(a) = -a**2 - 6*a + 5. Let d be f(-3). What is the lowest common multiple of 4/d - 276/(-14) and 28?
140
Let r = 1366 - 6794/5. What is the common denominator of 37/55 and r?
55
Let d = -1/6042 + 3659/12084. What is the common denominator of d and ((-196)/18)/((-4)/3)?
228
Suppose -4*b - 32 = 3*m + 17, -3*b = 3*m + 39. Find the common denominator of ((2 - 5) + 0)*b/36 and 9/67.
402
Let l = -19184/9 - -2137. What is the common denominator of 10/143 and l?
1287
Suppose r - 4 = -k, k - 4*r = r + 10. Suppose -k*c + 18 = -4*c. Calculate the least common multiple of c and 1 + 24 + (-6)/2.
198
Let n = -343919/6789 - -1568/31. Calculate the common denominator of n and 13/3.
219
What is the common denominator of 4/(-8) - (-408)/40 and -39/154?
770
Suppose -7*r = -46*r + 3510. Calculate the lowest common multiple of 234 and r.
1170
Let o(j) = 138*j - 1097. Calculate the least common multiple of (-20)/2*4/(-10) and o(8).
28
Let u be (-6)/(-27) - (1 + 574/(-9)). Suppose -r - u = -8*r. Calculate the smallest common multiple of 15 and r.
45
Suppose t = 6*t. Suppose -r + 2*r - 6 = t. Suppose -23*a = 16*a - 39. What is the least common multiple of r and a?
6
Let w = 31135/558 + -1480/31. Let n = 7621 - 45857/6. Find the common denominator of n and w.
18
Suppose 6 = 3*v + b, b - 8 = -3*v - v. What is the lowest common multiple of 34 and v*-12*30/(-40)?
306
Let z be (-4572)/(-16)*42/(-9). Suppose j = -5*r + 6884, -4*r + 5*j = -9*r + 6880. Let t = z + r. Calculate the common denominator of 56/11 and t.
22
Find the common denominator of -13/110 and 83/(-330) - (252/(-45))/7.
330
Let m = -87 + 606/7. Let f = -8/35 - m. Calculate the common denominator of -73/40 and f.
40
Let a be (-1 + -5)*(-2)/6. What is the common denominator of 198/(-42) - a/4 and 111/20?
140
Let r = 16/281 + 31529/3934. Let d be (-4)/(-30) + (-1402)/480 + 4. Let t = d + 37/20. What is the common denominator of r and t?
112
Suppose 0 = 3*g + 2*c - 32, -2*g + 6*g + 5*c = 38. Calculate the lowest common multiple of 72 and g.
72
Suppose -p = 3*p + 56. Let s = 85571/14 + -6118. What is the common denominator of s and ((-161)/p)/(2 + (-15)/(-9))?
154
Let d = 1/31939 - 3545249/638780. Let t = 2293673/42 - 54614. Find the common denominator of t and d.
420
Calculate the common denominator of 22/5 and ((-5)/100)/(4/(855 + 1)).
10
Let n = 93697059445/14 - 6696258484. Let a = n + 3613430. Let x = 2045 - a. Find the common denominator of x and 83/10.
70
What is the common denominator of (-78)/128*(3 + 99/27) and -17/300?
1200
Suppose 0*n - 40 = -5*n. Suppose -4*t - 2 = 3*q - n*q, 4*t = 3*q - 6. What is the common denominator of 65/22 and (q/4)/(40/(-452))?
220
Let i = 7367/14 + -526. Find the common denominator of i and (-6)/(-28)*(-330)/15.
14
Suppose 0 = -5*m - x - x + 173, -1 = x. Let w = m - 25. Let d = w - 4. What is the smallest common multiple of d and 22?
66
Calculate the common denominator of 2/(-17) + 19/((-188955)/5800) and 16/91.
819
What is the common denominator of 3/(-2) + (8 - 3699/555) and -53/12?
2220
Suppose 0 = -13*q + 14*q - 3*o - 9, 2*o - 8 = 0. What is the lowest common multiple of 10 and q?
210
Suppose b + 5*u = 19, 4*b = -3*u + 1 + 7. Suppose 12 = 2*x - 6. Find the common denominator of (-3 - (-49)/x)*b and -37/9.
9
Suppose 0*v = 4*v + 740. What is the common denominator of (-6)/9 - v/75 and (28/(-8))/((-4)/(-26))?
20
Calculate the lowest common multiple of 6 and (-2)/17 - (1 - (-7273)/(-119)).
60
Let g = -20 + 35. Let q = 7 + g. What is the least common multiple of (2/(-1))/2*-6 and q?
66
Let h be (-15)/(-6)*4*(-3)/(-6). Find the common denominator of -73/4 and 2*1/h - (-1246)/60.
12
Let o = 5663 - 56709/10. Calculate the common denominator of 38/115 and o.
230
Let i = -137 - -140. Calculate the common denominator of i + -17*7/6 and 36/7.
42
Suppose 0 = 2*o - o - 178. Let q be 6/4*(-8)/6. Find the common denominator of 41/22 and 1/14*o/q.
154
Suppose 11*g = 8*g + 18. Suppose i = 4*i + g. What is the common denominator of 74/3 and 3 - (i + 276/27)?
9
Let h = 8 + -6. Let f be ((-3)/2)/(5/60). Let l = 40 + f. Calculate the least common multiple of l and h.
22
Suppose 52*f = 42*f + 3870. Calculate the smallest common multiple of 9 and f.
387
Suppose -2*r - 21 = -3. Let s = r + 6. What is the common denominator of (51 + -2)/(9/s) and 20/21?
21
Let c be (-100 + 0/(-1))/1. What is the common denominator of (1555/c + 1)/(-3) and 57/22?
220
Let k(w) = 487 - 484 - 2*w**3 - 2*w - 3*w**2 - 2*w**2. What is the lowest common multiple of 9 and k(-3)?
18
Let x(a) = 4*a**2 - 2*a + 8. Suppose 5*o = 2*p + 19, 2 = 4*o - 3*p - 16. What is the smallest common multiple of 4 and x(o)?
76
Suppose -3*z = -3 - 9. Let c = z + 5. What is the smallest common multiple of 5 - (0/2)/(-3) and c?
45
Let r = 114003/1330 - 5574/95. Let j = -183/7 + r. Let k = 21908 - 481897/22. What is the common denominator of j and k?
110
Suppose -12 = 3*r - 2*o + 107, -4*o = -3*r - 109. Let v = r - -47. Calculate the smallest common multiple of 42 and v.
84
Suppose 4*p - 2*p - 57 = -5*c, -4*c + 2*p = -60. What is the lowest common multiple of c and 13?
13
Let u = -50/29 - -1147/783. What is the common denominator of u and (-1 + -7 - -2)*112/63?
27
Calculate the common denominator of (0/(-5))/4 + (-26)/8 and (474/32)/(3/(-2)).
8
Let l = -3/1499 - -226403/26982. Let t = -426 - -2651/6. What is the common denominator of l and t?
18
What is the common denominator of 197/210 and 26/(-24) - ((-10)/40 - 0)?
210
Suppose 2*z + 2 = 2*n, n + 4*n - 2*z = 8. Let w be (-20)/130 + (-518)/13. Calculate the smallest common multiple of 20 and w/25*(-25)/n.
20
Let o be -2 - ((-9)/3)/1. Suppose -2*g = -5 + o. Suppose -g*u + 16 = 4. What is the smallest common multiple of u and 2?
6
Let w(h) = h**3 + h - 1. Calculate the common denominator of 2/16*2210/(-17) and w(1).
4
Calculate the smallest common multiple of -8 - (-18)/(-27)*-33 and 77.
154
What is the common denominator of (6/(-40))/((-6)/244) and ((-274)/(-42) - (-32)/(-48)) + -1?
70
Let d(l) = 11*l + 3*l**2 - 4*l**2 - 2 + 2*l**2. Let v(m) = 3*m - 6. Calculate the least common multiple of d(-12) and v(4).
30
Calculate the common denominator of 1/6 and (-176)/3*(-141)/12690.
270
Suppose -m = -0*m - 2, 3*m = 5*b - 74339. Let t = 4260/689 + -123079649/8268. Let i = b + t. What is the common denominator of i and -37/20?
60
Suppose -3*o - 3*m + 67 = -m, -5*o - m = -121. What is the smallest common multiple o