
Let k = -14 + 5. Find the common denominator of 25 and (-39)/(-8)*6/k*5.
4
Let a be (2 - 3 - -2)/(2/24). Calculate the common denominator of 140/(-33) + 2/(-3) and (2/a)/((-7)/(-1197)).
22
Let v = 146 - 104. Suppose 0 = 3*l + 6, -l - v = -4*f - 8. Suppose -15 = -5*d, 0 = -5*u - 2*d - 12 + 108. What is the smallest common multiple of u and f?
72
Let n = -90305/33 + 2736. Suppose -4*o = -951 - 417. Calculate the common denominator of n and 1 + 0 - o/60.
330
Let c be 2/(3 + (-5 - -3)). Suppose 5*y + 30 = 2*u, 11 = c*u + y - 7. Calculate the least common multiple of u and 5.
10
Let y(m) = -37*m**3 - m**2 + 2*m - 3. Let g be y(1). What is the lowest common multiple of 8 and 5/(130/238) - (-6)/g?
72
Let t = -406 - -418. Suppose 5*q - 3 = -3*o, -o - 2*q + 3*q + 9 = 0. What is the smallest common multiple of o and t?
12
Let v(r) = -r**2 + 7*r + 17. Suppose -3 = -2*m - y, 2*m = 6*m - 4*y - 36. Suppose c = 11 - m. Calculate the least common multiple of v(8) and c.
63
Suppose -3*y + 96 = -4*i, 2*y + 22*i - 41 = 17*i. What is the smallest common multiple of y and 12?
84
Let u(p) = 29*p**2 - 4*p - 4. Let n be u(-2). Suppose 2*i = -4*i + n. Suppose 0 = 4*j - j, 3*f + 4*j = 6. What is the smallest common multiple of f and i?
20
Suppose 0 = -17*c + 19*c + 34. Let o = c + 47. Calculate the common denominator of -4 + 2 + 209/o and -77/18.
90
Suppose s + 5*m + 0*m + 8 = 0, -5*m = -s + 22. Calculate the least common multiple of 32 and (2/(-5))/(s/(-140)).
32
Let r(c) = 4*c**3 - c**2 + 2*c + 2. Let s be r(-1). Let y be (4 - 0) + s + 3. Calculate the lowest common multiple of (1/y)/(4/24) and 2.
6
Let i = 0 - -7. Suppose -i*a + 30 = -2*a. What is the lowest common multiple of 5 and a?
30
Let a(u) = 6*u - 2. Let o be a(-2). Let l(r) = -r + 12. Let i be l(-4). Let m = o + i. Calculate the lowest common multiple of 5 and m.
10
Let k = -17 - -31. Let b = 16 - k. Let l = 9 + b. What is the least common multiple of l and 6?
66
Let h = 16 + -13. Calculate the lowest common multiple of 7/((-7)/(-12)) - 3/1 and h.
9
Let p(d) = -18*d**2 + 6*d - 10. Let f be p(-6). What is the common denominator of 2/(-8) - 284*1/24 and f/(-180) + (-8)/10?
36
Let u = -105 - -2173/20. Let s = 13 + -56. Find the common denominator of (-3)/24*(-1 - s) and u.
20
Let d = 5 - 3. Suppose d*g + 4 = 0, 2*y - g + 14 = -0. Calculate the smallest common multiple of y*(9/6 + -2) and 7.
28
Let n = -7414 + 318847/43. What is the common denominator of -30 and n?
43
Let z = 3353/15 + -655/3. Find the common denominator of -85/2 and z.
10
Suppose -n - 3*n + k + 9 = 0, -k - 5 = -2*n. Suppose -o + n*o - 5*l = -19, -4*o - l = -8. Calculate the least common multiple of 4 and o.
4
Calculate the common denominator of 37/54 and -4 + 1 - (15 - (-2717)/(-208)).
432
Find the common denominator of -93/224 and (105/10)/(-1 - (-53)/(-13)).
2464
Let u(j) = -j**3 - 5*j**2 + 4*j - 5. Let c be u(-6). Let x = c + 2. Suppose 2*y - x = -y. Calculate the lowest common multiple of 11 and y.
33
What is the common denominator of ((-50)/45)/(24/(-63)) and -29/42?
84
Let m(y) = -y**3 + 18*y**2 - 6*y + 14. Let c be m(18). Let d = -80 - c. Calculate the least common multiple of 24 and d.
168
Let h = 7 - 13. Let c = h - 2. Calculate the common denominator of -15/4 and 94/20 - (-6)/c.
20
Let n = -728 - -740. Calculate the lowest common multiple of n and 12.
12
Suppose -41 = -6*l - 11. Suppose t = -j - 4*j + 27, -5*t - 15 = -l*j. Calculate the smallest common multiple of j and 10.
10
Suppose -7*c - 657 - 386 = 0. Let x = c - -159. Calculate the least common multiple of 55 and x.
110
Let n = -1079/18 - -175/3. Calculate the common denominator of n and (-13)/(-120) + 2/(-5).
72
Let u = -2 - -4. Let f(y) = 3*y + 47. Let p be f(-15). Suppose p*g = g + 8. Calculate the smallest common multiple of u and g.
8
Let r = -49 + 16. Let v = -899 - -4478/5. Find the common denominator of (-5*(-10)/(-4))/(r/12) and v.
55
Let y(i) = -i**2 - 40*i - 139. What is the least common multiple of y(-36) and 90?
90
Suppose -2*p + 4*i + 324 = 0, 4*i - 3*i - 334 = -2*p. What is the common denominator of 9 and 3/(-15) + p/80?
8
Let k = 335 + -317. What is the smallest common multiple of 219 and k?
1314
Calculate the least common multiple of (-1)/(-4) + 55/4 and 4 + 4/1 - 0.
56
Suppose 2*j = 6 - 0. Calculate the smallest common multiple of j and 6*1 + (1 + 2 - 4).
15
Let i be 52/3 - (8/(-3) + 3). Let y = 27 - i. Calculate the lowest common multiple of 9 and y.
90
What is the least common multiple of 8 - (-2 + -4) - (-6)/(-3) and 36?
36
Calculate the common denominator of 2/4 + 168/(-36) and -3 + (-7)/(1568/(-1116)).
168
Suppose -5664 - 18436 = 2*g. Let i = 241089/20 + g. What is the common denominator of i and (-290)/12*3/45?
180
Suppose -2*n = -3*h - 6, -1 = 2*n + 5*h - 7. Let l be (n/(-5372))/(36/(-2224104)). Let k = 2/1343 - l. What is the common denominator of k and -8/3?
6
Calculate the lowest common multiple of (-1 - -6) + (4 - 5 - -2) and -13 - -12 - (-22 + -1).
66
Let c = -1281/4 - -303. Let y = -101/6 - c. Calculate the common denominator of y and 1 - 35/(-4) - -1.
12
Let c = 187 - 57. Suppose -3*q = l - 160, -2*q + c = -2*l + 450. Calculate the least common multiple of 4 and l/(-12)*12/(-8).
20
Let b = 47/38 + -1723/456. What is the common denominator of 155/84 and b?
168
Suppose s = 3*d + d + 8630, -3*s = -6. Let n = 30215/14 + d. What is the common denominator of n and -24/7?
14
Let q(a) = -a**2 - 5*a + 1. Let z be q(-4). Suppose 2*v + 95 = 5*s - 0*v, -s + z*v - 4 = 0. Calculate the lowest common multiple of s and 24.
168
Let y be 92/1*-23 - 1. Let q be y/(-326) - (-6)/6. Let w = -1/163 - q. Calculate the common denominator of w and 109/10.
10
Let b(q) = -q**3 - 4*q**2 + 3*q - 7. Let h be b(-5). Let t be 0 + h - 3 - 26. Let c = 44 + t. Calculate the least common multiple of c and 2.
18
Let m = -91 + 181. What is the least common multiple of m and 6?
90
Let t(g) = -3*g + 12. Let a be t(8). Find the common denominator of (11 + 2)/((-8)/5) and (-498)/a*1/(-9).
72
Let k(h) = -26*h + 548. What is the smallest common multiple of k(16) and 120?
1320
What is the lowest common multiple of 84 and 6/(-14) - 4455/(-105)?
84
Find the common denominator of (-624)/(-1280)*(1 - 16/28) and -87/16.
560
Let i = -2055063083831/7615 + 539740813/2. Let s = i + 3/1523. Find the common denominator of s and -139/30.
30
Suppose -5*y = -4*f - 1874, -2*y + 0*f = 3*f - 745. Calculate the least common multiple of y and 22.
374
Suppose -14*z + 2077 = 565. What is the smallest common multiple of 44 and z?
1188
Let t be 1 + (4/(-22) - (-192)/(-399)). Let h = 5/266 - t. Find the common denominator of h and -15/2.
22
Let v(j) = -j + 4. Let g be v(-6). Let s be -3 - g*-1 - -2. Suppose 3*h - s = 2*p + 7, 5*h - 27 = 3*p. Calculate the smallest common multiple of h and 2.
6
Let w(t) = -t**3 + 4*t**2 + 6*t - 4. Calculate the smallest common multiple of w(5) and ((-6)/(-4))/(48/256).
8
Suppose 2*g + 6 = j, 5*j = 2*g - 5*g + 4. Find the common denominator of (-55)/2358 - (j + 57/(-27)) and -35/18.
2358
Suppose -u + 26 = u. Suppose -t = -u - 5. Calculate the smallest common multiple of t and 20.
180
Calculate the common denominator of -55/39 and 7/(-6)*(-120)/(-330).
429
Let s = 3/5026 - -238717/30156. What is the common denominator of s and -35/69?
276
Let a = 109 - 29. Let q = 1265 + -13905/11. Find the common denominator of 330/a + (-1)/4 and q.
88
Let w be -2*(1 + -2) - -3. Suppose -4*r - 4*f + 7 = -29, r - 39 = w*f. Let p(a) = a**2 + a. What is the least common multiple of r and p(2)?
42
Let n be (6385/(-2175) + 3)*(-3)/(-2). Let p = n - -11923/1160. Find the common denominator of p and -10*(-1)/24*1.
24
Let n = 5004 - 40099/8. Let o be (-2 - -2) + -2 - -4317. Let c = o + -47413/11. Calculate the common denominator of n and c.
88
Calculate the smallest common multiple of 28 and (-170)/(-40) - 4/16.
28
Let p(a) = 1. Let g(h) = -5*h**2 + 2. Let w(j) = g(j) - 6*p(j). Let b be w(-2). Find the common denominator of 11/4 and (-4)/(-24) + (-590)/b.
4
Find the common denominator of -39*1/48*3 - 1 and -73/6.
48
Let k = -50839/6 - -8485. Suppose 5*o + 10 + 5 = 0, 5*h + o - 2 = 0. What is the common denominator of k and h + (130/(-6) - -2)?
6
Let d = 1/492 + -2339/984. What is the common denominator