0
Let w = 11635/9 + -1290. What is the common denominator of -39/7 and w?
63
Let b(c) = -3*c**2 + 2. Let p = -9287/870 + -23/145. Calculate the common denominator of b(-4) and p.
6
Suppose -4*j = -j - 108. Calculate the common denominator of ((-35)/40)/(1/j) and 111/50.
50
Let g = -3380 - -20213/6. Suppose -c = 3*c - 4112. Let l = -7167/7 + c. Find the common denominator of g and l.
42
Suppose y - 5*t + 0*t - 7 = 0, y = -2*t. Suppose -8 - 10 = -y*o. Calculate the smallest common multiple of o and (-7)/(-1) - (0 - (-2 + 2)).
63
Let p = -154/93 - -2317/744. What is the common denominator of p and -69/4?
24
Let w = 10 + -6. Calculate the common denominator of ((-1)/(-10))/((-6)/1185) and w.
4
Let l(c) = c**3 + c**2 + 4*c - 5. Let i be l(2). Suppose 5*k = i, 6*u - 3*u = -3*k + 57. What is the least common multiple of 14 and u?
112
Let t = -2797/78 + -64/39. Let c be (-372524)/38832 + 1/2. Let q = 8/809 + c. What is the common denominator of q and t?
12
Let q = 64961/19316 + 1/1756. What is the common denominator of q and -89/4?
44
Let i(s) = 587*s + 11. Let f be i(8). Let q be 2/42*f/(-2). Let r = -1012/7 - q. Find the common denominator of r and -1/10.
10
What is the common denominator of 6/7 and (3 + (-69)/30)/(10/(-275))?
28
Let d be (3 - 5) + 1 + 0. Calculate the common denominator of 2 - d/((-4)/186) and 6/16*34/(-5).
20
Let z(a) = -a**3 + 12*a**2 + a. Calculate the smallest common multiple of z(12) and 1.
12
Suppose r - 4 = -3*r. Suppose s = 5*s - 32. Calculate the lowest common multiple of r and s.
8
Let l = -16 - -16. Suppose 5*x + 2*m = -m + 93, l = -4*x - 3*m + 75. What is the least common multiple of 8 and x?
72
Let n = -31 + 17. Let g = n - -25. Calculate the smallest common multiple of (-34)/(-4) + (-2)/(-4) and g.
99
Let g(f) = f**3 + 12*f**2 + f + 18. What is the smallest common multiple of 2 and g(-12)?
6
Let q = -124/15 - -57/20. What is the common denominator of 1/6 - 375/63 and q?
84
Let q be 2/9 - (-16)/9. Suppose -5*l + 12 = -k, -l + 6 = q*l. Find the common denominator of 73/(-14) + k/14 and -65/4.
28
Suppose 3*c - 4*i + 71 = -0*c, 0 = -5*c - i - 149. Let n = 51 + c. Suppose h + 0*h - n = 0. What is the smallest common multiple of h and 16?
176
Let l = 3436 - 195793/57. Calculate the common denominator of l and -77/12.
228
Suppose -2*l = -21 - 11. Suppose l + 11 = 3*z. What is the lowest common multiple of 8 and z?
72
Let a(t) = t**2 + t + 3. What is the lowest common multiple of 2 and a(-2)?
10
Suppose 0*j = -2*j + 16. Let y(r) = r**3 - 4*r**2 + 3*r + 3. Let k be y(3). Suppose -j = -k*l + 40. What is the lowest common multiple of 10 and l?
80
Let w = -10 - -14. Calculate the common denominator of (-29)/28 + 1/w and 75/8.
56
Let s(k) = 3*k**3 - k**2 - 4*k + 6. Calculate the lowest common multiple of s(1) and 0 + 0 + 1 + 10.
44
Find the common denominator of 56/3 and 11 - ((-39)/(-9) + -3).
3
Let u(g) = -2*g. Let x be u(-1). Find the common denominator of 43/18 and (-58)/x*9/6.
18
Let w be 169/(-4 - (2 + -4)). Let a = 611/7 + w. Calculate the common denominator of 2*101*2/(-24) and a.
42
Find the common denominator of -13/3 and 531/(-27) - 0/1.
3
Let v(n) = n**2 + 5*n + 4. Suppose 5*i + 0*i - 10 = 0. Calculate the lowest common multiple of v(-5) and i.
4
Suppose 6*k - 40 = 2*k. What is the smallest common multiple of k and (-1)/(-3) - 130/(-6)?
110
What is the common denominator of ((-1075)/30)/(-5) + 3 and 99/8?
24
Let p = 18 - 31. Let g(h) = -2*h - 19. What is the smallest common multiple of g(p) and 2?
14
Let h(w) = w**3 + 7*w**2 + 2*w - 8. Let s(g) = 2*g**3 + 14*g**2 + 4*g - 16. Let q(r) = -5*h(r) + 3*s(r). What is the smallest common multiple of 22 and q(-6)?
176
What is the common denominator of (-1)/(-3) + 106/132 and (-1 + 1561/35)*(-2)/8?
110
Let n = 2 + -6. Calculate the lowest common multiple of (3 - -5) + n + 2 and 5.
30
Let r(s) = -s**3 + 11*s**2 - 8*s. Calculate the lowest common multiple of 16/(-56) - 312/(-14) and r(10).
220
Let u = 29 + -15. What is the least common multiple of 16 and u?
112
Let i(q) = -q + 1. Let s(w) = 7*w + 4. Let b(j) = -6*i(j) + 2*s(j). Let r be b(-10). What is the common denominator of -76/9 and (-80)/r + (-2)/11?
9
Let k be (-6)/(-18) - (-2)/(-6). Calculate the least common multiple of 4 - (0 - (-2 + k)) and 15.
30
Suppose 3*y = 7*y. Suppose -5*b + 2*b + 54 = y. Suppose 0 = 5*h - 2 - b. Calculate the least common multiple of 2 and h.
4
Suppose 0 = -2*y - 0*y + 26. Let n = y - 5. Let g = 35 - 24. Calculate the lowest common multiple of n and g.
88
Let o = 253 + -3029/12. Let v = 121/4 + -27. What is the common denominator of o and v?
12
Let d = -8 + 10. What is the common denominator of d/(-7) - 407/(-28) and -93/16?
16
What is the least common multiple of 7 and 2 + -1 + 1 + (-25)/(-25)?
21
Find the common denominator of 15/8 and 6 - 3 - (87/24)/(-1).
8
Calculate the common denominator of (3 - (-335)/(-20)) + -2 and 29/8.
8
Let i = 8 + -8. Suppose i*j - 3*j + h = -96, -2*j + h = -65. Find the common denominator of j and 16/3.
3
Let w = -10 - -19. Let f be 2/w + (-214)/(-9). Suppose 2*s - f = -4*h, 0 = 3*s - 2*h + h - 15. Calculate the smallest common multiple of s and 16.
48
Suppose -2*d = -r + 2*r, 18 = d + 5*r. Calculate the least common multiple of 4 and -2 + 2 + d - -14.
12
Calculate the common denominator of 59/4 and (-543)/864 - (-4)/18.
32
Let j be 10/(-4)*(-2 - 2). Let b(o) = o - 1. What is the smallest common multiple of 1 and b(j)?
9
Let t = 122311/3 - 41660. Let r = -1815/2 - t. Find the common denominator of 334/48 - 2/(-3) and r.
24
Let l(j) be the third derivative of -j**4/6 - 2*j**2. Let w be l(-2). Calculate the common denominator of 0 + (-4)/(w/11) and 53/9.
18
Let t = -200999/12 + 16740. What is the common denominator of t and 83/20?
60
What is the common denominator of 149/(-56) - (5 - 7) and 5/2?
56
Let c be (16 + -1)*32/20. Suppose 4*k + c = -120. What is the smallest common multiple of 22 and 1/(3/k*-1)?
132
Let d(i) = 10*i. Let u be d(2). Let y = -926/159 + -1/106. Find the common denominator of y and (-150)/(-40)*34/u.
24
Suppose -57 = -2*k - 1. Calculate the common denominator of -2/5 and k.
5
What is the common denominator of (-174)/40 - 33/44 and -13?
10
Suppose 4*z = 5*z + 83. Find the common denominator of z/12 + (-1)/(-3) and (1/(-6))/(2/41).
12
Suppose n + 3*w + 1 + 4 = 0, -n - 3 = 2*w. Let r(l) = 16*l**3. Calculate the lowest common multiple of r(n) and 18.
144
Let d be -1 + 2 - (-154)/30. Let z = 2159/330 - d. Calculate the common denominator of 33/4 and z.
44
Suppose -48 = -t + 4*t. Calculate the common denominator of ((-3)/2)/(t/(-92)) and (2/(-8))/(3/4).
24
Suppose 0 = -11*c + 176. Let k(b) = 5*b - 1. Let w be k(1). Suppose 0*n - w*n + 48 = 0. What is the least common multiple of c and n?
48
Suppose -m = 4, 0 = -5*z - m + 65 + 21. Suppose -2*b = 2*b - 80. What is the least common multiple of b and z?
180
Suppose -3*v = 5*o - 22, -2*o - 5*v + 8 = -3*v. Suppose -o*b = 13 - 3. Calculate the least common multiple of 3/((-1)/b + 0) and 18.
18
Suppose -2*m + 0*m = c + 5, -5*c + 14 = -3*m. What is the smallest common multiple of 9 and c?
9
What is the common denominator of 59/4 and (-8)/52 + 1161/(-312)?
8
Let o be (-1)/(3 + (-64)/22). Let w = o - -17. Calculate the smallest common multiple of 1 and w.
6
Let h = -8/6669 - 9978407/533520. Let w be (-89)/(-240) - 2/6. Let p = h + w. What is the common denominator of -13 and p?
3
Let r be -2*(6/4)/(-1). Let k(g) = g**2. Let h(y) = -y**3 + y**2 + 11. Calculate the least common multiple of h(0) and k(r).
99
Let f = 2417/12 - 201. What is the common denominator of f and 71/14?
84
Let a(c) = 41*c - 2. Let x be a(-2). What is the common denominator of 33/(-8) + 2/4 and ((-27)/(-16))/(7/x)?
8
Let q = 4 - 0. Calculate the smallest common multiple of q and 9.
36
Let o(h) = -h**3 - 6*h**2 + 8*h + 10. Let s be o(-7). Suppose s*l + l = 20. Calculate the common denominator of -2 - 1/6*-107 and l.
6
Let x be ((-1)/(-6))/(12/(-2622)). Let m = x - -211/4. Find the common denominator of m and 1/5 + (-1216)/180.
9
Let r = -3 + 13. Let t = -3 + 9. What is the lowest common multiple of r and t?
30
Suppose -23*q - 5*w = -24*q + 16, -4*w - 10 = 2*q. Calculate the smallest common multiple of q and ((-2)/(-3))/((-6)/(-27)).
3
Wha