o + 75 + 4, 5*j - 184 = -2*o. Suppose 27 = -3*f + o. Calculate the least common multiple of 20 and f.
20
Suppose 5*f - 19 = -5*c + 3*f, 0 = -2*f - 6. What is the lowest common multiple of 35 and c?
35
Suppose 4*v - 12 = 3*v. Suppose a = -3*a + 72. What is the smallest common multiple of a and v?
36
Suppose 54 = 14*q - 8*q. Suppose -3*a = f - 0*a - 10, 4*a = -5*f + 6. What is the smallest common multiple of (-7 - 1)/f - 1 and q?
9
Suppose 5*i + 15 = 0, -2*i + 3 = 5*t + 14. Suppose -1 = z - 9. What is the least common multiple of z and 3 + t*(-1 - 12)?
16
Suppose 2*x - 9 = 1. What is the least common multiple of 37 and ((-16)/6)/(x + 17/(-3))?
148
Let s = -181 + 247. Calculate the lowest common multiple of s and 2.
66
Suppose -18 = -5*x + 7. Suppose 10 = -j + x*c, 8*c = j + 4*c + 7. What is the least common multiple of j and 8?
40
Suppose -2*r - 6 = 4, 5*i + 20 = -4*r. Suppose -5*x + i*c + 5*c = -25, 2*x = 3*c + 6. What is the lowest common multiple of 2 and x?
18
Suppose -106*f = -112*f + 270. Calculate the least common multiple of f and 55.
495
Suppose 102 = 9*w - 6*w. Let x = -14 + w. Calculate the least common multiple of x and 8.
40
Suppose 4*v = -3*s - 70, 5*s = -v - 33 - 61. Find the common denominator of -99/14 and s/(-711)*150/(-8).
1106
Let n(w) = w**3 + 9*w**2 - 2*w. Let s(a) = a**2 - a - 4. Let p be s(5). Let h = -2 + p. Calculate the lowest common multiple of h and n(-9).
126
Let b = 47365/11 - 4309. What is the common denominator of -91/8 and b?
88
What is the common denominator of 131/24 and 19/(-3 - -15 - -3)?
120
What is the common denominator of -71/120 and (-427)/(-305)*(-3)/((-21)/22)?
120
Let d be (-506)/1006 + 2/4. Let t be (-1 - 3022/(-3018))/(2180/(-18426777)). Let r = d - t. Find the common denominator of 13/6 and r.
30
Let t = -127557/910 - -1841/13. Calculate the common denominator of 42/2*(-15)/(-40) and t.
280
Let s(z) = z**3 + 15*z**2 - 9*z - 18. Calculate the least common multiple of s(-13) and 6.
2622
Let h = 5331 - 42705/8. Calculate the common denominator of h and 16/4 - 5/10.
8
Suppose 0 = -76*o + 82*o - 30. Suppose o*x - 1 + 9 = q, 2*q = -x + 16. Calculate the least common multiple of q and 40.
40
Let o = 115621 + -733846491/6347. Let j = o - -628385/50776. Find the common denominator of j and -57/40.
40
Suppose 56*b = 53*b - 4*l + 66, 3*l - 88 = -4*b. Calculate the least common multiple of 10 and b.
110
Let a(j) = -40*j - 32. Suppose -3*w + 12 = -6. Calculate the lowest common multiple of a(-1) and w.
24
Let p = 133224708 + -4795728619/36. Let m = 10022 - p. Find the common denominator of m and -11/18.
36
Suppose 0*f = 2*f - 22. Let r be 2/24*-4 - 22/(-3). Suppose -3*w + r = -8. What is the smallest common multiple of w and f?
55
Calculate the common denominator of -7 + (-252)/16 - -1 and -101/6.
12
Calculate the common denominator of 1/(-4) + 24651/6600 - 3 and -47/2.
200
Let h = 263 - 95. What is the least common multiple of 168 and h?
168
Let c be 14/5 - (-2)/10. Suppose 24 = c*k + 6. Calculate the least common multiple of 14 and k + 16/(-1 - 3).
14
Let g(c) = -4*c**2 + 106*c - 43. Suppose 5*w - o - 66 = -16, -2*w = 5*o + 7. What is the lowest common multiple of g(26) and w?
9
Suppose y + c - 4 = 0, y + c = -c. Let h(u) = -u**3 + 3*u**2 + 9*u + 4. Let n be h(5). Calculate the smallest common multiple of 4/(-8)*-6 - n and y.
8
Let z be 12/(-54) + 169/(-9). Let m = 10 + z. What is the common denominator of 51/7 and (214/(-4))/((-45)/m)?
70
Let r be 251 - (-5 + -1)*6/12. Let s = -91 + r. Calculate the lowest common multiple of s and 1.
163
Suppose 2*s - 28 = -4*g, 2*g + 2*g = 20. Let b = 9286 + -9275. What is the smallest common multiple of s and b?
44
Let b(y) = 1662*y**2 + 2*y + 1. Let i be b(2). Let q = -39817/6 + i. What is the common denominator of q and 7 + -11 - -4 - (-142)/(-20)?
30
Calculate the common denominator of 33/10 and -14 - -23 - 737/72.
360
Let m be (70/25)/((-3)/150). What is the common denominator of 89/12 and (-975)/m - 6/(-21)?
12
Suppose 0 = -8*q + 7*q. Suppose n - 5*n + 24 = q. Calculate the least common multiple of 11 and n.
66
Let l(p) = -3*p - 11. Let t be l(-5). Suppose -3*g = 4*k + 60, -g + t*k + 12 = 32. What is the common denominator of -33/7 and g?
7
Let p = 146 - 141. Suppose -4*r - 5*k = -10 - 83, p*r + 3*k = 126. Calculate the smallest common multiple of 12 and r.
108
What is the lowest common multiple of 110 and ((-100)/10 - -6) + 214 + 0?
2310
Suppose 0 + 2 = -3*v - 2*u, 2*u = -2*v. Let h = v - -5. What is the smallest common multiple of 9 and (0 - h - -5) + 7?
9
Let d(n) = 3*n - 17. Let b(z) = z - 1. Let l(s) = 2*b(s) - d(s). Calculate the smallest common multiple of 28 and l(7).
56
Let v(y) = -y**3 + 7*y**2 - 5*y - 4. Let h be v(6). Suppose 3*n = 5*p + h, 2*n + 4*p - 14 = 2. Calculate the least common multiple of n and 32.
32
Suppose -2*a + 117 = -663. Suppose 3*b - a = -2*b. Calculate the lowest common multiple of 5 and 37/13 + 12/b.
15
Let l = -64 - -62. Calculate the lowest common multiple of 6 and 2 - -54 - l/(-1).
54
Let u(x) = -x**2 + 7*x + 4. Let a be u(6). Suppose 4*b - 18 = a. Calculate the lowest common multiple of 2 and b.
14
Suppose -7*j = -8*j. Calculate the lowest common multiple of 30 and -3*(-1 - j) - -3.
30
Let z = 6 + 7. Let x = z - -1. Calculate the smallest common multiple of x and 9.
126
Let v be 6/(-4)*8/12. Let i = v + 13. Calculate the lowest common multiple of i and 26.
156
Let g = 59/412 + -29467/25956. Calculate the common denominator of g and -121/162.
1134
Suppose -4*b + 4 = -3*b. What is the least common multiple of 10 and ((-22)/(-4) + -3)*b?
10
Let z(c) = 4*c + 29. Let q be z(-6). Calculate the least common multiple of 2 and (-12)/15*1*q*-2.
8
Suppose z + 5 = -2*i, -i - 20 = 5*z + 4*i. Calculate the common denominator of -17/36 and z + (-2 - 1345/(-120)).
72
Let w(f) = 0*f**2 - 5 + f**2 + 10*f + 34 + 6. Calculate the smallest common multiple of w(-7) and 12.
84
Let k = 12 + -12. Let a = k - -8. What is the common denominator of 101/(-42) + a/(-12) and 61/4?
28
Let k = -92 - -220. Suppose 5*h = 2*g - 38, -3*g = -2*g - 5*h - 24. Calculate the least common multiple of k and g.
896
Let h(n) = -n**3 + 11*n**2 - 8*n - 39. Calculate the lowest common multiple of 27 and h(9).
459
Suppose -31 = -b + y, 10*y + 22 = b + 12*y. What is the lowest common multiple of b and 8?
56
Let j = -88/67 - -12599/3216. What is the common denominator of 89/12 and j?
48
Let c = -4231 + 88897/21. Find the common denominator of 70/81 and c.
567
Let a(k) = -4*k**2 + 45*k + 13. Let w(v) = v**2 - 3*v - 4. Calculate the smallest common multiple of a(11) and w(-4).
24
Suppose -978*n - 5628 = -999*n. What is the least common multiple of n and 28?
1876
Let p = 107 + -746/7. Calculate the common denominator of p and 30/427.
427
Calculate the lowest common multiple of (-7 - 1)/((-2)/5) and (-5 - -10) + 5 + 5 - 5.
20
Let o(n) = -n**3 + 2*n**2 + 2. Let z = -33 + 35. Suppose -l + 3 = 1. Calculate the least common multiple of o(z) and l.
2
Let s = 1101763/910842 + 1/14691. Find the common denominator of s and -121/20.
620
Let z be (-1)/(2*4/56). Let k = -92087/31430 + 3/2245. Find the common denominator of z*((-6)/4)/(-15 + -3) and k.
84
Let b = 6 + -6. Suppose 5*d + 45 = -3*p + 154, 5*p + d - 167 = b. Suppose 4*z = u + p, -z - 2*u = -0*z + 3. What is the least common multiple of 5 and z?
35
Let k(j) = -7*j**2 + j + 0*j**3 - j**3 + 2*j**3 + j - 8. Calculate the smallest common multiple of 11 and k(7).
66
Suppose 11*m + 432 = 7*m. What is the common denominator of ((-2)/7)/((-12)/m) and -74/27?
189
Let i = 1509 + -1381. What is the least common multiple of i and 16?
128
Let w = 41 - 27. Calculate the common denominator of -41/3 and w/(-14) + -10*1.
3
Suppose -117378984558 = -2*i - i. Let h = i + -1615760848689029/41296. Let c = 1/2581 - h. What is the common denominator of c and -97/18?
144
Let y = 77/4 - -7/2. Find the common denominator of y and -101/14.
28
Suppose 1 - 7 = 6*d. Let u = d - 2. Calculate the smallest common multiple of 8 and 3/(3/u) + 7.
8
Find the common denominator of -65/32 and ((-1778)/180 - 2) + 14/(-63).
160
Suppose 0 = 10*a + 13*a - 414. Calculate the smallest common multiple of a and 57.
342
Let i = -7077/209 - -690/19. Find the common denominator of i