0. Let p = g + -12. Calculate the smallest common multiple of p and 9.
45
Let v(n) = n**2 - 15*n + 24. Suppose 0 = -p - 2*m + 16, 0 = -3*p - 0*p + m + 13. Calculate the smallest common multiple of p and v(14).
30
Calculate the common denominator of (77/14)/(8/(-14)) and (-678)/180 - (-2)/3.
40
Let w = -160/9 + 401/18. What is the common denominator of w and -3 - ((-61)/18 - -3)?
18
Calculate the common denominator of -31/18 and (-3652)/(-2541) + 2/(-7).
198
Let t = 55 + -54. What is the smallest common multiple of 5 and t?
5
Suppose -2*w = -4 + 10, -5*q + 35 = -5*w. What is the common denominator of -10/11 and (2/9)/(q/42)?
33
Let v(j) = -j**2 + 9*j. Calculate the lowest common multiple of v(5) and 4.
20
Let v be (-1)/(1/(-3 - -2)). Find the common denominator of 1/(16/12) + (-286)/24 and (-410)/(-24) - v/4.
6
Let v = -202825/9582 - -1/1597. Find the common denominator of v and 79/12.
12
Let h be (0 - 0) + 15 + 1. Suppose 0*w = 4*w - h. Suppose w*p = 3*p + 6. Calculate the least common multiple of p and 10.
30
Let h be -2 - 220/438*-4. Let i = 8099/438 + h. Calculate the common denominator of -37/10 and i.
10
Let z be -12*((-85)/3)/(-5). What is the smallest common multiple of z/(-7) - 10/(-35) and 2?
10
Let w(m) = 4*m + 9. Let c = 13 + -4. What is the lowest common multiple of w(5) and c?
261
Suppose 5*q + 3*y = 6 - 2, 0 = 3*q - 2*y - 10. Suppose -g + 4 - q = 0. Find the common denominator of 34/11 and ((-1)/(4/55))/g.
88
Let c = 1949/2 - 947. Let n = -38869/13365 - 1/1215. What is the common denominator of c and n?
22
Let r be 9090/(-25) + (-4)/10. Let b = -1108/3 - r. Calculate the common denominator of 43/4 and b.
12
Let l = -2/227 - 3855/454. Suppose -206 + 1190 = -4*o. Find the common denominator of l and (-1 + 2)/((-84)/o).
14
Let b = 28 + -20. Let v = b + -6. Suppose -3*m - 3*a + 13 - 1 = 0, 5*m = -2*a + 20. What is the lowest common multiple of m and v?
4
Let c = 10/211 + 17493/422. What is the common denominator of c and 73/2?
2
Let f(h) = h**2 - 18*h - 13. What is the smallest common multiple of f(19) and 3?
6
What is the least common multiple of 10 and (2 + -6)/(-4 + 2)?
10
Suppose 0 = -6*v - 0*v + 24. What is the lowest common multiple of 2 and v?
4
Let v be 22982/8*7/(-14). Let c be (2 + 0)/(4/2858). Let b = v + c. What is the common denominator of b and 137/6?
24
Let s be 2/(3/(-84)*2). What is the common denominator of 9/8 and (6/s)/(9/(-12))?
56
Let i be ((-5077)/2)/((-1)/2). Let l = 30950366 - 680796395/22. Let m = i - l. Calculate the common denominator of 59/4 and m.
44
Let z = -3709911/10 + 371506. Let o = z - 525. What is the common denominator of o and -99/8?
40
Suppose -w - 4 = 0, 0 = 3*i + 3*w - w + 5. Calculate the smallest common multiple of i and 3.
3
Suppose 2*l - 3*b - 27 = -3*l, l - 4 = 2*b. Calculate the least common multiple of l and 22.
66
Suppose 0 = 3*v - 5 - 1. Calculate the common denominator of (-1)/(-5)*(-10)/(-44) and v - 1 - (-2)/44.
22
Calculate the common denominator of -21/29 and (-9)/12*1/(36/88).
174
Let p(t) = t**3 - 6*t**2 + 7*t - 9. Let y = 24 + 1570. Let z = y - 14332/9. Find the common denominator of p(6) and z.
9
Let c be -1 + -1 + (-2103)/(-21). Let b = -5797/56 + c. Calculate the common denominator of -95/2 and b.
8
Let m = -333511/8 + 41297. Let i = m + 385. Calculate the common denominator of i and -99/2.
8
Suppose 2 = 3*m + 5, -4*m = 2*c + 46. Let a = c - -27. What is the smallest common multiple of 11 and a?
66
Let a = -13543/5 + 2696. What is the common denominator of a and 63/10?
10
Calculate the common denominator of -73/54 and (-356)/72 + 2 + (-12)/16.
108
Let b be 5 - (0 + -1)*-2. Suppose -b*i + 8 + 34 = 0. Calculate the smallest common multiple of 20 and i.
140
Let j(k) = -3*k + 50. Suppose b = 4 + 5. What is the least common multiple of b and j(13)?
99
Suppose -2*k = -4*k + 4*b + 20, -1 = b. What is the smallest common multiple of 20 and k?
40
Let l = -1684 + 16733/10. Let z = -1499/20 + 256/5. Calculate the common denominator of z and l.
20
Calculate the common denominator of (-650)/(-308) - 21/49 and 67/14.
154
Let d be ((-2)/(-2))/((-7)/(-28)). Suppose 4*y - y = -2*l - d, y + 24 = 5*l. What is the least common multiple of l and 3?
12
Suppose -r + 936 = 2*r. Suppose 5*h + 4*n = r, 9 + 3 = 4*n. Suppose 4*s - b - 64 = b, -4*s + 3*b + h = 0. What is the lowest common multiple of s and 12?
36
Let j be (-1 - -2)*(0 + 85). Let g = 679/8 - j. Calculate the common denominator of g and 119/6.
24
Suppose 2*l - 1 - 9 = 0. Let f(p) = -p**3 + 7*p**2 - 7*p + 7. What is the smallest common multiple of 20 and f(l)?
220
Suppose -j + 1 + 5 = 0. Let f(g) = 4*g - 8. Suppose -4*t = a - 26, -t + 5 = -0*t. What is the smallest common multiple of j and f(a)?
48
Suppose -3*l - 30 = -6*l. Let z(y) = -11*y - 2. Let o be (-32)/14 - 4/(-14). Calculate the least common multiple of z(o) and l.
20
What is the lowest common multiple of (-2)/4 + (-13)/(-2) and 14/4 + (-2)/12*3?
6
Let b = 370 + -665/2. What is the common denominator of b and (164/(-10))/(-2*1)?
10
Let j = -82 - 16. Find the common denominator of 93/8 and j/(-2)*(-2)/6.
24
Suppose 5*h + 0 - 85 = 0. Calculate the lowest common multiple of 7 and h.
119
Let f(o) = 6*o**2 + o + 1. Let l be f(-1). Find the common denominator of 109/18 and 1/(-6)*l/58.
522
Let c = 2790026471927/8008 - 348404905. Let v = c + 3/728. Find the common denominator of v and (-58)/(-4)*58/87.
33
Let o(c) = 4*c - 2. Let w be o(4). Calculate the common denominator of w/7 + 110/12 and -5/4.
12
Let s = 84 + -72. What is the least common multiple of s and 1?
12
Suppose 2*t + 25 = 7*t, 5*t + 65 = -3*f. Let r = 2601 + -46883/18. What is the common denominator of r and (11/(-8) - -1)*f?
36
Let b(g) = -g + 33. Suppose -3*v = v - 24. What is the least common multiple of v and b(7)?
78
Let h = 61 + -53. Calculate the lowest common multiple of 12 and h.
24
Calculate the lowest common multiple of (-81)/(-9)*2/3 and 21.
42
Let q = -896820/11 + 81607. Let d(p) = -82*p - 1. Let y be d(-1). Let i = y - q. What is the common denominator of i and 39/5?
55
Let i = -9/700 + 6939/700. Calculate the common denominator of i and (-52)/(-18)*(-1)/4.
90
Let y(w) = -w + 0*w - 9*w - 2. Suppose 3*h + 5*c + 15 + 11 = 0, 0 = -5*c - 20. Calculate the lowest common multiple of 8 and y(h).
72
Let u = 4 + -1. Suppose -4*p = -u - 1. Suppose -3*v - 5 = -8*v. What is the smallest common multiple of p and v?
1
Suppose -5*p = 4*b - 123, p + 60 = 2*b - 5. Let x = -14 + b. Suppose 5*y = 0, y = -4*n + 5*y + 56. Calculate the smallest common multiple of x and n.
126
Let a = 3 + 12. What is the common denominator of 1/a*(-273)/14 and 73/20?
20
Calculate the common denominator of ((-130)/6)/(56/(-21)) and -21/5.
40
Let i = -13/127 - 13583/2540. Find the common denominator of i and 95/22.
220
Let j = 22 - -1. Calculate the lowest common multiple of 7 and j.
161
Let r(p) = p**3 - p**2 - 5*p + 2. Let v be r(3). Suppose -v*j + 11 = 1. Suppose -2*k = 2*k, -10 = -5*h + 3*k. Calculate the lowest common multiple of j and h.
2
Calculate the common denominator of -11/6 and (6/(-24))/(4/166).
24
Let j be (-42002)/2610*6/40. Let m = j - 2/725. Find the common denominator of m and 35/6.
12
Let x = -48497/2886 - 14/481. What is the common denominator of 3/8 and x?
24
Let n(i) = i**3 + 15*i**2 - i - 3. Calculate the least common multiple of 14 and n(-15).
84
Let w be (1 + 159/(-135))*-3. Let f = w + -19/3. What is the common denominator of 41/7 and f?
35
Suppose -2*f + 3*n + 18 = -0*n, n - 11 = -5*f. What is the lowest common multiple of f and 3?
3
Let x be (-23 - (-3 + 2))*14. Let z = x + 1001. What is the common denominator of -1 - (z/12)/3 and -49/8?
8
Suppose 0 = -4*x - 0 + 68. Suppose -28 = -4*p + 5*l, 4*l + x = -2*p + 5. Calculate the lowest common multiple of p and 2 + -1*(-1 - 0).
6
Let k = -2003/138 + -91/69. Calculate the common denominator of 23/105 and k.
210
Let i = 135089/22 - 6142. Calculate the common denominator of (4 + 5/(-3))*18/32 and i.
176
Let x = 16511/36 + 565/36. Let q = 1867/4 - x. Find the common denominator of q and (-8)/(-60)*1150/24.
36
Let d = -261473/27 + 9686. Calculate the common denominator of -67/48 and d.
432
Calculate the lowest common multiple of (5 + 0)/((-2)/(-4)) and 2.
10
Find the common d