6
Calculate the lowest common multiple of (-5)/(-3*(-10)/(-12)) and 246.
246
Find the common denominator of 404/(-44) + 110/11 and 43/730.
8030
Suppose -2034*b = -2025*b - 432. What is the lowest common multiple of b and 30?
240
Let j = -28093245/12709 - -1/25418. Let x = 2162 + j. Calculate the common denominator of (2/32)/((-8)/304) and x.
8
Let a be (-4086)/(-9) + (1 - 0). Suppose -5*f = -5*d - a, -3*f - 2*d = -96 - 172. What is the smallest common multiple of f/8 + (-15)/(-20) and 14?
84
Let g be -4*(-3)/(-6) - 5. Find the common denominator of -7/6 and (1/4)/(g/966).
6
Let u(n) = n**3 + n**2 + n + 22. Suppose 14 = 4*x - 2, 0 = -2*y + x - 34. Let o = y + 37. Calculate the least common multiple of u(0) and o.
22
Let u = 1899046/5925 + -8008/25. Find the common denominator of u and 31/11.
2607
Let o = -47/899 - 4168381/5394. Let j(n) = -258*n - 3. Let x be j(3). Let f = o - x. What is the common denominator of f and 17/6?
6
Suppose -4*a - 31 = -7. Let b = -1 - 16. Let g = a - b. Calculate the least common multiple of g and 3.
33
Suppose -6*s = -4*s - 4. Suppose 0*b + 9 = 3*i + 5*b, 2*b = s*i - 22. Calculate the least common multiple of i and 4.
8
Let s = -2457 - -2494. Calculate the smallest common multiple of 24 and s.
888
Suppose -b + 5*b = -352. Find the common denominator of 31/3 and 184/(-77) - (-16)/b.
21
Let o = -268 + 122. What is the common denominator of (-1*29/(-5))/(-1) and (-1 + 0)*(-6)/24*o?
10
Let p = -1/18718 - 2196/9359. What is the common denominator of p and -23/6?
294
Let f(u) = -u + 10. Let v(r) be the third derivative of r**5/60 + 7*r**4/24 - r**3 + r**2. Calculate the lowest common multiple of f(8) and v(-9).
12
Let z(m) = m**2 - m - 4. Let n(o) = 1. Let b(l) = 11*n(l) + 2*z(l). What is the lowest common multiple of 45 and b(-2)?
45
Let j = 11 + 150. Calculate the smallest common multiple of 11 and j.
1771
Suppose 10*v + 34 = 3*t + 12*v, 0 = 4*t + v - 47. Calculate the least common multiple of 20 and t.
60
Let l = -721703/11097834 + -60/10219. Calculate the common denominator of l and -1/4.
2172
Suppose 0 = -2*t - 2*b + 8 + 28, -4*t + 108 = -5*b. Let v = t + -21. Let m = 9 - v. Calculate the least common multiple of m and 14.
56
Suppose 68 = 2*b - 0*b - 3*u, -3*b + 3*u + 102 = 0. Suppose -3*r + 32 = 5*w, 2*r - 6*r + b = -2*w. What is the least common multiple of 13 and r?
117
Calculate the common denominator of -53/98 and 1 + (-177)/231 - (-30)/165.
1078
Suppose l - 2*j - 27 = 3*j, -5*l + 69 = -3*j. Suppose -6 = 3*a - 2*s - 26, s = -4*a + l. What is the lowest common multiple of a and 6?
12
Let s = -6 - -12. Calculate the least common multiple of ((64/14)/8)/((-4)/(-70)) and s.
30
Let p = 1346 + -1342. Suppose -2*j = 3*j - 100. What is the least common multiple of j and p?
20
Let x(a) = -2*a**3 - 2*a**2 - 11*a - 33. Calculate the least common multiple of x(-3) and 64.
576
Let z(q) = 44*q + 94. Suppose -3*x - 7 = 2. Let b = x - -12. What is the smallest common multiple of b and z(-2)?
18
Let y = -14 + 34. Let f(q) = q**2 + 9*q + 22. What is the smallest common multiple of y and f(-8)?
140
Let h(t) = 9*t**3 + t**2. Let a be h(-1). Let k = 156313/18 + -8687. Find the common denominator of k and 363/8*a/90.
90
Suppose -78 - 10 = -4*z. Let p = -16 + z. Suppose -15*i + 3*i = -24. Calculate the smallest common multiple of p and i.
6
Suppose 5*j + 3*q - 36 = 80, -4*q + 38 = 2*j. Let i = 31 - j. Calculate the least common multiple of i and 4.
12
Let y be 1 + (-28)/36 - 2438/12. Let n = y + 1648/9. Calculate the common denominator of 2/7 - (-802)/(-112) and n.
24
Let m be (-4)/(-18) - ((-22)/(-18) - 0). Let j(s) = -3*s**3 - s**2 + 2*s. Let k be j(2). What is the common denominator of 22/5 and (1 - m)*(-3)/k?
20
Suppose 18*s = 13*s + 3*r + 755, 3*r = s - 163. What is the least common multiple of 36 and s?
1332
Let u = -86 - -179. Suppose -14*f + 19 = -u. What is the smallest common multiple of f and 2?
8
Let h(p) = 11*p + 40. Calculate the least common multiple of 20 and h(0).
40
Let v be (-3)/5 + (-108)/(-30). Let g = v + 1. Suppose -5*l = 0, g = 2*p + 2*l - 8. What is the lowest common multiple of p and 28?
84
Let x be 3 + (1 - 664/(-4)). Suppose 0*y + 5*y - x = 0. What is the least common multiple of y and 6?
102
What is the common denominator of 22/71 and (-14134)/(-191)*(0 - 1/(-4))?
142
Calculate the lowest common multiple of 68 and 8 + -2*(7 + -6).
204
Suppose 0 = 2*d + 3*d - 5*x - 50, -46 = -4*d + 2*x. What is the least common multiple of d and 117?
117
Let f = 619/19 - 13783/342. Calculate the common denominator of f and (-463)/(-72) + (-16)/(-128).
18
Let o(r) = 52*r - 7. Suppose -4*p + 3*p - 4 = 0. Let k be o(p). Find the common denominator of k/60*(-3 + 5) and -31/22.
66
Calculate the common denominator of 61/4 and 30/(-40)*604/36.
12
Suppose -4*o = 4, -3*g - 2*o + 85 = -6*o. Let h = 7 + 5. Calculate the least common multiple of h and g.
108
What is the smallest common multiple of (3/2)/(12*4/320) and ((-2)/3)/((-4)/6)?
10
Suppose 36*a - 78 = -26*a - 16. Suppose -k + 5*z = -41, 5*k = 4*z - 17 + 138. Let w = -14 + k. What is the lowest common multiple of a and w?
7
Suppose -19 = -4*l + 61. Suppose -6 = 2*u + t - 33, -2*u + t = -37. Calculate the lowest common multiple of l and u.
80
Suppose g - 3*l - 10 = 0, 0 = g + 2*l - 3*l - 6. Let h(t) = 2*t - 1. Let d be h(9). Suppose -73 = -5*j + d. Calculate the smallest common multiple of j and g.
36
Let b = 13 + 6. Suppose b = 5*l - k, 4*k = -l + 3*l - 4. Calculate the smallest common multiple of 16 and l.
16
Let w be -3 + (226/5 - 1). Let v = -3009/70 + w. What is the common denominator of 130/24 - (-5 + 9) and v?
84
Calculate the lowest common multiple of 3*(78/9 + 2) and 16.
32
Let i be (154/(-4))/(-11) + 3/2. Suppose 3*k + 174 = i*d, -d - 4*d + 159 = 2*k. What is the lowest common multiple of d and 6?
66
Suppose 5*o = 4*x - 15, 5*x = -o - 2*o + 28. Let l(i) = -10 + o + 3 - i. What is the least common multiple of 15 and l(-9)?
15
Suppose 37*q - 481 = -111. What is the least common multiple of 0/2 - (-2 + -20) and q?
110
Let v(y) = -2*y + 22. Let t be 0*((-65)/(-20) - 3). Calculate the smallest common multiple of 14 and v(t).
154
Let d(w) = w + 11. What is the smallest common multiple of (59 - 23) + (2 - 4) and d(9)?
340
Let h(x) = -14*x**2 - 6*x + 5. Let m be h(4). Let k = m - -1939/8. Calculate the common denominator of (-8292)/2160 + (-2)/18 and k.
40
Suppose -6*f = -4*f + 88. Let n = f + 54. Suppose -6*w + 8 = -2*w. What is the smallest common multiple of n and w?
10
Let c = -28264/479 - -59. Let r = c - -30207/4790. Calculate the common denominator of 86/14*(0 - -1) and r.
70
Let w be 4 + 934/2 + -2. Let f = -4733/10 + w. Let b = 107/2 + -52. Calculate the common denominator of f and b.
10
Let d be (-1)/(0 + 1/3). What is the common denominator of (-152)/d*1/6 and (-246)/54 - 2/9?
9
Let q = -4755 + 8395. Let z = 58263/16 - q. Find the common denominator of z and 63/16.
16
Let f = 911 - 1789/2. What is the common denominator of -11/36 and f?
36
Let w = 12 + -12. Suppose 2*z = 6*z + 3*o - 17, w = -2*z - 2*o + 6. Suppose -f = -3*f + 6. What is the least common multiple of z and f?
24
Suppose -23*z - 1080 = -26*z. What is the smallest common multiple of 44 and z/(-54)*(-6)/4?
220
Let n be ((-4)/(-6))/(8/2160). Suppose -8*c - 2*c + n = 0. Calculate the smallest common multiple of 4 and c.
36
Let d = -275 - -344. Calculate the least common multiple of d and 6.
138
Let x = 694733/189 + -3676. Calculate the common denominator of 53/21 and x.
189
Let v(b) = b**2 - 10*b - 116. Calculate the lowest common multiple of 95 and v(19).
1045
Let g = 35576 + -107860/3. Let c = 394 + g. Calculate the common denominator of (-38)/(-95) - 134/20 and c.
30
Let h = -68 + 70. Let s(d) = 6*d**2 - 3*d - 4. What is the smallest common multiple of 14 and s(h)?
14
Let b(q) = -q + 4. Let g be b(7). Let r be (-8)/(g + 5 - 1). Find the common denominator of (-4)/(-5)*(-43)/r and -101/26.
130
Let p(r) = -r**2 - r + 11. Let l be p(3). Suppose 0 = -3*m + 14 + 4. What is the common denominator of m and (3 + 10/(-4)*1)*l?
2
Let v be 1 + 2*5/(-10). Suppose 0 = 3*w + 3, v = -2*m - 5*w + 4*w + 31. Calculate the common denominator of 57/7 and m.
7
What is the common denominator of (-3 - 70/(-40))*82/5 and 