383 - -825. Let y = j + 4455/8. Find the common denominator of z and y.
40
Let l = 19/11 - 45/77. Let p = l - -185/28. Find the common denominator of 9/4*(-136)/(-12) and p.
4
Suppose -4*h - y - 47 = 0, -4*h - 77 = -9*y + 4*y. Let u be 0/(-2) + 61460/(-32). Let o = 1930 + u. Calculate the common denominator of o and h.
8
Let d = -115/76 + 2079/608. Calculate the common denominator of 53/28 and d.
224
Let g = -3 + 8. Let t = g + -2. Let a(b) = -b**2 + 6*b - 2. What is the lowest common multiple of a(t) and 1?
7
Let u = 1359/1561 - 3/223. Suppose 0 = 4*b - 0*b - 72. What is the common denominator of (69/b)/((-10)/(-18)) and u?
70
Suppose -13*c + 9*c + 56 = 0. What is the lowest common multiple of c and (4 + 2)/(2/4)?
84
Calculate the common denominator of 59/33 and (-1)/33*-73 + (9 - 10).
33
Suppose 2 + 4 = 3*q. Calculate the lowest common multiple of q and 9.
18
Let b(k) = k**2 - 5*k - 2. Calculate the lowest common multiple of b(-3) and 18.
198
Let h = -5521/12 + 3425/6. Let y = -108 + h. What is the common denominator of y and -15/8?
8
Let w be (18/15)/((-6)/(-20)). What is the common denominator of 3/2 and (-6)/w*165/(-9)?
2
Let p(t) = -41*t - 1. Let r be p(-6). Suppose -5*z - r = -10*z. What is the smallest common multiple of (18/7)/(7/z) and 10?
90
Let a = 335/42 - 8/7. Calculate the common denominator of 73/18 and a.
18
Suppose -49 = 2*k - 57. Calculate the smallest common multiple of 9 and k.
36
Let d be 18 + 3*(-6)/(-9). Let r = d + -12. What is the lowest common multiple of 28 and r?
56
Let h(o) = o + 21. Calculate the lowest common multiple of h(-11) and 7.
70
Let f = -4 - -8. Let t = -6 + f. What is the least common multiple of ((-2)/4)/(t/28) and 8?
56
Let n = 8 - 32. Let a = -83468/3603 + -1/2402. Calculate the common denominator of a and 4/n + 307/(-30).
30
Let x be (-1)/(-3) - 8/6. What is the common denominator of (-2)/(x + 30/16) and 48/11?
77
Let p be 1*-7 + (8 - 6). What is the common denominator of -43/11 and (-3 - p) + 1/(-10)?
110
Let k = -3956/815 + -15/326. Find the common denominator of k and (-3 - -1)/((-14)/(-41)).
70
Let l(v) = -v**2 - 5*v + 3. Suppose -9*f + 12 = -6. What is the smallest common multiple of l(-3) and f?
18
What is the common denominator of (-1)/4*165/12 and 1043/(-42) + (-4)/(-6)?
48
Suppose -44 = -107*p + 103*p. Calculate the smallest common multiple of 52 and p.
572
Let o = 30/413 + 32507/1652. Find the common denominator of o and (-27)/(-3)*30/(-20).
4
Let n = 9 - 5. Suppose -t + 0*t + 4*f - 6 = 0, 9 = n*t - 5*f. What is the least common multiple of t and 12?
12
Let p be 1*(3 - 0) - -2. Let b = p + -3. Calculate the smallest common multiple of 10 and b.
10
Let v = 149 - 102. What is the common denominator of v and 125/12?
12
Let t = 42 - 22. Let g = 41 + -7. Calculate the lowest common multiple of g and t.
340
Let r = 11013/4 + -2728. Find the common denominator of r and -9.
4
Let x(g) = g**2 - g + 4. Let t(q) = -q**2 + 5*q + 4. What is the lowest common multiple of x(4) and t(5)?
16
Suppose 16*n - 28 = 12*n. Suppose 1 = 2*w - 5. Calculate the least common multiple of n and w.
21
Let b = 43 + -35. Calculate the smallest common multiple of 12 and b.
24
Let i be (-76)/(-3) + (-6)/(-9). Suppose 8*n - 3*n - a - 46 = 0, -n + i = 4*a. What is the least common multiple of n and 14?
70
Suppose -5*m + 2 - 7 = 0. Calculate the common denominator of (51/(-33))/(m/3) and -2 - (-16)/(-22) - 1.
11
Let j = -1315 + 93. Let o = j + 4965/4. Calculate the common denominator of 56/11 and o.
44
Suppose 3*z + 2*x = 8, -2*z - 4 = -z + 2*x. Let u = -11 - -21. Calculate the smallest common multiple of 15/2*u/15 and z.
30
Let j = -433/8 + 50. What is the common denominator of 511/539 - 1/(-7) and j?
88
Let f = -401/90 + -67/9. Find the common denominator of 47/10 and f.
10
What is the least common multiple of 312 and (-10)/25 + 107/5 + 1?
3432
Let y = 20164 - 241829/12. What is the common denominator of y and (-111)/18 + 2 + 2/1?
12
Let o be 6/12*(-4)/(-213). Let s = o - 1073/852. What is the common denominator of s and -41/17?
68
Suppose -200 = 5*f + 5*c, 2*c + 51 - 211 = 4*f. Find the common denominator of (-4 - 372/f)*-1 and 65/16.
80
Let f(n) = -n**2 - 5*n + 5. Suppose 0*i = -5*i - 25. Suppose 6*a - 2*a = -2*q + 6, 5*q + 3*a - 22 = 0. What is the least common multiple of q and f(i)?
5
Let s = -28 - -13. Find the common denominator of 18/11 and 994/40 + (-6)/s.
44
Calculate the smallest common multiple of ((-20)/15)/2*-12 and 2.
8
Let g = -12/17 + 371/68. What is the common denominator of g and (1/(-24))/(2/51)?
16
Let d = 760 - 12934/17. Let l = -710/119 - d. What is the common denominator of -19/7 and l?
7
Suppose 3*u - 5 = 2*n, 4 - 20 = -2*n - 4*u. Suppose -2 - 8 = -3*z - p, -4*z + n*p + 20 = 0. Calculate the smallest common multiple of 4 and z.
4
Calculate the common denominator of ((-14)/2 - 2)*-2 and (-105)/9 - (-9)/3.
3
Let k(w) be the third derivative of w**6/120 - w**5/15 - w**4/24 + w**3/3 - 2*w**2. Let n be k(4). Find the common denominator of 0 + n + (-46)/(-12) and 47/4.
12
Suppose -15 = -5*r, -2*r - r + 6 = -q. Let k = q + 2. Suppose -5*i = h - 7, i + k = -2*h + 10. What is the smallest common multiple of 2 and h?
2
Calculate the common denominator of 40/3 and 1/(-3) + 1449/297.
33
Let b = 1217 - 7379/6. What is the common denominator of b and 21/(-8)*(-2)/(-9)?
12
Suppose -2*a - 4242 = -4*f, a - f = -1447 - 675. Let s = 714041/35 - 127999/7. Let m = s + a. Calculate the common denominator of 101/2 and m.
10
Let f(i) = i**3 + 3*i**2 - 2*i + 6. Let c be f(3). Let w be ((-4)/1 + -1)/(-1). Suppose 56 = w*y - c. What is the smallest common multiple of y and 8?
88
Let k = 3 - -19. What is the least common multiple of k and 8?
88
Let s be ((-51)/15 + 3)*20. Calculate the common denominator of 2 + (-138)/s - -1 and -31/6.
12
Let g(a) = -a**3 + 7*a**2 - 4*a - 2. Let f be g(6). What is the common denominator of 137/6 and (6/(-14))/((-15)/f)?
42
Suppose 3*a - 7657 = -4*x, 3*x = -5*a + 2*x + 12756. Let h = 15163/6 - a. Find the common denominator of h and 35.
6
Let l be 464455491/(-99055740) - (-4)/14. Let r = -202/12413 - l. Let k = r + -33/19. Find the common denominator of k and -93/22.
220
Let a = -31170902 - -49624069329/1592. Let d = 11/199 + a. Let n = 42323/8180 + 72/409. Calculate the common denominator of n and d.
40
Let i = -195 - -207. Calculate the lowest common multiple of i and 111.
444
Let x(j) = -6*j**3 + j**2 + j. Let b be x(-1). Let q(y) = -y**2 + y + 3. Calculate the lowest common multiple of q(0) and b/(-4)*(-2 - 0).
3
Suppose 24 = 2*s + s. Let v(g) = 3*g**2 + 2. Calculate the smallest common multiple of s and v(-2).
56
Suppose -1 = -4*y + 3. What is the common denominator of y/4 + 45/(-40) and -1/20?
40
Let w(d) = -3*d**3 + 2 + d**3 - 5*d**2 + 3*d**3. Suppose 2*u = 3*m - 2, -5 = -7*u + 2*u + 5*m. What is the least common multiple of w(u) and 1?
2
Let u = 53 + 2. Suppose -5*o - 15 = -u. What is the smallest common multiple of 2 and o?
8
Let w(i) = -i**3 - i**2 + i + 4. Suppose -89*y + 8 = -87*y. What is the smallest common multiple of y and w(0)?
4
Let p = 159 - 87. Calculate the common denominator of 11/18 and ((-134)/p)/(1/(-2)).
18
What is the common denominator of 75/2 and 3458/8740 - 1/5?
46
Find the common denominator of 85/48 and 54/(-12) - (1 - 4)*-1.
48
Calculate the common denominator of -55/6 and 74/10 + (-1 - 0).
30
Let t = -6384775/99 - -596936/9. Let w = t - 1838. Calculate the common denominator of w and -31/7.
77
Let t = 18749/304 + -1059/19. Suppose 0 = -2*v - 2*v - 120. Find the common denominator of t and (30/(-8))/(v/260).
16
Suppose -v - v - 4*w - 8 = 0, -w + 13 = 3*v. What is the least common multiple of v and 54?
54
Let u = -1 + 11. Calculate the lowest common multiple of 10 and u.
10
Suppose -3*a + 6*a = 30. Calculate the lowest common multiple of a and 26.
130
Calculate the common denominator of 2/6 - 50/105 and -103/6.
42
Let y(l) = -l**2 - 5 + 6*l - 1 + 3*l. Let k be y(9). Calculate the common denominator of 83/10 and (-12)/8*46/k.
10
Let p(h) = -7*h + 5. Let n(s) = 8*s - 6. Let k(w) = -4*n(w) - 5*p(w). Calculate the smallest common multiple of k(4) and 3 + (-12 - 0)/(-4).
66
Let h(j) = j**2 - 15*j + 10. Let m be h(14). Calculate the smallest common multiple of 9 a