e (-72)/(-987)*(-146)/6. Let j = b - 24/47. Calculate the common denominator of 91/18 and j.
126
What is the common denominator of 39/10 and (-10)/28*(-63)/35 - -1?
70
Let i = -4 - -2. What is the common denominator of 518/(-147) - i/(-6) and -37/8?
56
Let v = 35 + -25. Let r(i) = i**3 - 4*i**2 - 4*i - 4. Let o be r(4). Let z = -12 - o. Calculate the smallest common multiple of v and z.
40
Let v = -18113/2821 + 197/31. Calculate the common denominator of 32/7 and v.
91
Let r = 5/142 + 3647/1278. Calculate the common denominator of r and 37/63.
63
Let b = -27046/27 - -1002. Calculate the common denominator of b and 5715/540 - 10/8.
27
Let l = -3319 - -72999/22. Calculate the common denominator of l and (-242)/(-280) + 2/7.
220
Suppose 0 = 3*a - h + 3*h - 14, 0 = a - 4*h. Suppose 0 = a*u - 9*u + 65. What is the smallest common multiple of u and 4?
52
Let h = -74993/12 + 6240. Let k = -838 - -3423/4. Find the common denominator of k and h.
12
Suppose -m - 4*h = 3*m - 76, 3*m = 2*h + 37. Let s(i) = -3*i**2 + i - 1. Let f be s(1). Let w = m - f. Calculate the lowest common multiple of 8 and w.
72
Suppose 36 = -4*y + 16. Calculate the lowest common multiple of 4 and (y/2)/(3/(-12)).
20
Suppose 0 = 4*m - 4*w - 36, -4*m - w - 3*w = -12. Calculate the common denominator of m/9 - (-410)/(-48) and (1/2)/((-20)/404).
40
Let z = 10/2709 - 4360/132741. Let a = -13417/1372 - z. Calculate the common denominator of a and 64/9.
36
Suppose 49*a - 37*a - 8280 = 0. Calculate the smallest common multiple of 14 and a.
4830
Let u = -48 - -100. Suppose -3*f + 6 = 0, 6*f - f = -3*r + u. Calculate the smallest common multiple of 2 and r.
14
Let j(n) = -n**2 + 42*n - 34*n - 3 - 4. Suppose 2*f = 2*s - 68, -5*f + 172 = s + 3*s. Calculate the common denominator of j(9) and s.
1
Let r(c) = c**3 + 13*c**2 - 16. Let i be r(-13). Find the common denominator of 27/4 and (3 + (-2103)/711)/(i/(-228)).
316
Let h = -1454 - -1458. Calculate the least common multiple of 456 and h.
456
Suppose 2*t + 4*o - 26 = 0, 0*t - 33 = -t + 3*o. Suppose -52 + 7 = -5*p. What is the lowest common multiple of p and t?
63
Suppose -7516 = -2*d - 3*b, -2*d + d = -3*b - 3776. Let a = 33833/9 - d. Find the common denominator of a and 89/24.
72
What is the smallest common multiple of (-374)/(-33) - 4/(-6) and 27?
108
Let i be -9*(-7)/(63/6). Let v = i - 20. Find the common denominator of 7/v - (-34)/5 and 91/12.
60
Let s = -8311805 - -3224976549/388. Let r = 2/97 + s. Find the common denominator of 64/9 and r.
36
Let m be 69/9 + (-16)/(-12). Let o be m/(0 + (-12)/8). Let l = o - -15. Calculate the smallest common multiple of 18 and l.
18
Let p = 47262 - 848197/18. Let j = p - 283/2. What is the common denominator of j and -43/14?
126
Suppose 5 = -v, -3*l + 2*v - 534 = -184. Let i be (l/25)/(3/(-15)). Find the common denominator of ((-51)/i)/(6/36) and -13/4.
4
Let p = 22/35 + -37/35. Find the common denominator of ((-57)/(-60) + -1)*66 and p.
70
Find the common denominator of -5 + 14*24/18 + 4 and -109/10.
30
Suppose -438 = -z - 414. Calculate the lowest common multiple of 10 and z.
120
Calculate the smallest common multiple of 20 and 6018/90 + (-14)/(-105).
1340
Let i = -1375 - -1623. What is the smallest common multiple of i and 16?
496
Suppose -4*j + 6*j = -5*b + 340, -3*b - 2*j = -208. Find the common denominator of -1*(-202)/(-32) + 0 - -1 and 115/b + 1/(-3).
176
Let j be 1/(1 + 68/(-70)). Let t = j - 29. Calculate the lowest common multiple of t and 11.
66
Let a = 2/644467 - 7761316121/12889340. Let b = a + 602. Find the common denominator of b and -151/12.
60
Suppose -4*l + 8*l = 84. Calculate the common denominator of 6/l + 478/(-56) + -5 and -52/11.
44
Suppose 5*b - 780 = -2*v, -b - 34 = -4*v - 190. What is the smallest common multiple of 54 and b?
1404
Suppose 0 = -5*i + f + 4, -3*i + 8 = 4*f + f. Let v be i*30*30/(-25). Let k = v - -109/3. Calculate the common denominator of 32 and k.
3
Let d(n) = n**2 + n - 4. Let u be d(-4). Let b be 869/(-24) + (4 - u). Let t = b - -103/3. What is the common denominator of t and 24/5?
40
Suppose -3*w + 6 = -39. What is the common denominator of 23/21 and ((-4)/w)/((-126)/(-765))?
21
Suppose 0*z - 5*s + 43 = z, 0 = 3*s - 15. Suppose -4*i + 23 + 97 = 0. Suppose -4*f + i = 6. What is the least common multiple of z and f?
18
Find the common denominator of (-117)/2*(-6)/180 and 55/1154.
11540
Let b = -5577/10 + 563. What is the common denominator of (-16)/(-20) + (5544/(-160))/(-7) and b?
20
Let t = 1153597/216 + -16022/3. Find the common denominator of 37/6 and t.
216
Let n be (1/((-51780)/(-1428968)))/4. Let d = -2/2589 - n. Calculate the common denominator of 1234/(-180) + 4/(-20) and d.
90
Let n(m) = -14*m**2 + m - 21. Let d(w) = -5*w**2 - 7. Let i(g) = 17*d(g) - 6*n(g). What is the smallest common multiple of i(-5) and 12?
12
Let n = -29861570/221 - -135120. Find the common denominator of -13/85 and n.
1105
Suppose -3*r - 5*i = -9 - 7, 3*i = -4*r + 14. Let f be r/(-5) + 18/(-30). Find the common denominator of (-88)/(-36) - 0/f and 36/5.
45
Let l = 2/39 - -20/117. Let g = -12075 + 398516/33. What is the common denominator of l and g?
99
Let l(o) = -489*o - 6. Let w be l(-12). Let d = w + -10853. Let z = 30077/6 + d. Find the common denominator of z and 39/11.
66
Suppose 3*c - 12 = 21. Let x = 1127 + -1119. What is the lowest common multiple of c and x?
88
Let q(v) = 2*v**2 - 37*v - 8. Suppose 2*p + 26 = 4*p. What is the lowest common multiple of q(19) and p?
143
Suppose 5*n - 40 = -5*f, 4*n - 12 = -0*f + f. Let h(y) = y + 2. Let l = 463 + -458. What is the least common multiple of l and h(f)?
30
Suppose 4*m + m - 6 = -4*b, b + 1 = 0. Suppose 0 = -4*k - 66 + 102. Suppose 11 = f - k. What is the lowest common multiple of f and m?
20
Let l(c) = c + 14. Let g be l(18). What is the least common multiple of -1 - g/(-2)*(4 - 3) and 18?
90
Let y = -9799/370 - 3/185. Suppose 4*a - 3*z = 24, 12 = 6*a - 4*a - 5*z. Calculate the common denominator of (34/(-48))/(a + 159/(-27)) and y.
8
What is the smallest common multiple of 26 and 4/26 - (-2 - (-102)/(-13))?
130
Suppose 129*r - 111*r = 432. What is the smallest common multiple of 18 and r?
72
Let j = 162109/270 - 1201/2. Let n be (-1522)/540 - 16/(-24). Let q = j - n. Find the common denominator of 115/6 and q.
18
Let z = -14325 + 4649. Let k = -996618/103 - z. Let n = -6064/927 + k. What is the common denominator of -11/5 and n?
45
Let j = 1063 + -2484. Let i = j - -15590/11. Calculate the common denominator of i and (24/32)/((2/(-36))/1).
22
Suppose -2*x - 310 = -2*c, x + 5*c - 67 = -246. Calculate the common denominator of x/(-10)*(-13)/39 and 71/32.
160
Let a = 42 - 14. Let z(v) = -v + 0*v + a - 32. Calculate the least common multiple of 3 and z(-8).
12
Let w = -226 + 228. What is the smallest common multiple of w and 6?
6
Let g(w) = 80*w**3 + 3*w**2 - w + 1. Let m be g(2). Let i be 1/4 - m/(-14). Let a = i - 38. Find the common denominator of a and 2/3.
12
Suppose -s + 24 = 4*j - 2*s, 5*j - 3*s = 37. Let m = -17/95 + -5089/760. Calculate the common denominator of 0 - (-113)/(-16) - (-15)/j and m.
16
Let c = 137 - 131. Calculate the least common multiple of 2 and c.
6
Let c be ((-147)/(-14))/(1347/(-450) + 3). Calculate the common denominator of 12/((-2592)/c) + (-1)/3 and 17/38.
152
Let m = -4 + 5. Let p be (-4)/(m/(0 - -3)). What is the common denominator of -89/12 and 1062/p*(-2)/6?
12
Suppose 0 = 2*z - 4*j - 44, -18 = 3*z - 3*j - 78. Let a(q) = q + 30. Let g be a(0). Suppose 2*d + 3*d = g. What is the lowest common multiple of d and z?
18
Let o(g) be the third derivative of g**6/2 + g**5/12 - g**4/24 - 6*g**2. Let l be o(-3). Let d = -15769/10 - l. What is the common denominator of d and -87/4?
20
What is the least common multiple of (6 - 3 - -37)*3/6 and 45?
180
Let k be ((-39)/(-2) - 4)*25/6. Let x = 65 - k. Let i = 222/1001 - -1/182. Calculate the common denominator of x and i.
132
Let i(l) = 2*l**3 - 2*l**2 + 3*l - 2. Let k be 15 + -2 + (-12)/(-4). Suppose -5*x = -64 - k. What is the lowest common multiple of x and i(2)?
48
Let t be (-1196)/36 + (-12)/(-54). What is the common denominator of -1 - (2 - (-186)/t) and -83/8?
88
Let x be 2/11 - 705/(-55). Let g(w) = -w**3 + 14*w**2 - 13*w + 4. What is the l