) - 1. Let p = c + 1986. Find the common denominator of n and p.
30
Let y(n) = -n**3 - 3*n**2 - n + 4. Calculate the smallest common multiple of y(-3) and 6.
42
Let n be (-2)/(-10) - (-27)/15. Let t be n + (1 - 0 - -13). Suppose 5*v = -20, -2*m = 4*v + t - 44. What is the least common multiple of 12 and m?
132
Calculate the common denominator of 133/6 and (18/36)/(5/111).
30
Let d = 73234/57 + 3867/19. Let i = -1512 + d. Calculate the common denominator of i and ((-93)/10)/(2/5).
12
Let p(a) = -a**2 - 7*a + 9. Let m be p(-7). Suppose -4*q = -m - 3. What is the lowest common multiple of 2 and q?
6
Suppose 0 = v + g + 13, 4*g - 5 = -g. Let m = -9 - v. Calculate the least common multiple of 11 and m.
55
Let t = -4055/136 - -645/17. Calculate the common denominator of t and -133/24.
24
Let k be (114 + 1)/(16/(-12)). Let j = -93 - k. Find the common denominator of 7 and j.
4
Suppose -2*m + 86 = o + 4*o, 120 = 4*m - 3*o. Suppose -2*z - 2*w + m = -w, -63 = -4*z - 3*w. What is the lowest common multiple of z and 2?
18
Suppose -7*f = -f - 36. What is the lowest common multiple of 10 and f?
30
Let u = 72 + -66. Calculate the smallest common multiple of 14 and u.
42
Suppose 0 = z - 1 - 4. Suppose -z*q = 12 - 112. Calculate the lowest common multiple of q and (-20)/(-5) + 1*2.
60
What is the common denominator of 149/18 and (-468)/98*(-56)/32?
126
Suppose 28*a - 45 = 23*a. Calculate the lowest common multiple of 24 and a.
72
Let b = 48 + -30. Let i(m) = -m**2 + 15*m + 6. Calculate the least common multiple of b and i(14).
180
Suppose 4*f - 5*g - 47 = f, f - g - 15 = 0. Let k = 16 - 10. What is the least common multiple of 6/(-9) - (-40)/k and f?
42
Let t = -3037/232 + 86/29. Calculate the common denominator of t and 44/5.
40
Let y = -117725/5271 + 2/1757. Find the common denominator of y and 31/6.
6
Suppose 0 = -m + 2*m. Suppose m*c = 3*c + 126. Calculate the common denominator of 87/c + 2/(-7) and 79/18.
126
Suppose 0 = 6*o - 3*o - 174. Calculate the smallest common multiple of o and 10.
290
Let l = 4067 + -89457/22. What is the common denominator of (-849)/126 + 2/(-6) and l?
154
Let q be (6/(-7))/((-2)/14). What is the smallest common multiple of 10/(-3)*(-12)/5 and (q/(-4))/((-2)/12)?
72
What is the common denominator of 0 - (0 - (-380)/144) and -32/9?
36
Let o = 9 + -4. Let p = -33/17 + -1311/34. Calculate the common denominator of p and (3 + (-77)/o)/2.
10
Let f be 9*(26/6 - -1). Find the common denominator of 9/f*42 + -1 and 20/11.
88
Suppose 4*f - 80 = -16. What is the smallest common multiple of 6 and f?
48
Suppose 0 = 5*v - 2051 + 6326. Let d = -2587/3 - v. Find the common denominator of d and -10/7.
21
Suppose -2*c - 5*k = -43, c + 14*k - 9*k = 34. What is the lowest common multiple of c and 18?
18
Calculate the smallest common multiple of 2/12 + (-71)/(-6) and 1.
12
Suppose 3*u = -0*z - 5*z - 18, 2*z = -3*u - 9. Let d(q) = 21*q**2 + 3*q - 2. Let o be d(-3). What is the common denominator of (1 - u) + o/(-24) and -101/10?
60
Let c = -22 + 36. What is the smallest common multiple of 4 and c?
28
Suppose 4*r = 5*x - 35, -3*r = -5*x - 0*r + 30. Calculate the least common multiple of x and 1.
3
Suppose -3*g = n + 2*n + 117, 5*g = 2*n - 230. Let w = 85/2 + g. Calculate the common denominator of w and -65/6.
6
Suppose -5*c + 12 = -2*c. Suppose 5*n = -r - 4871, -r = -c*n - 386 - 3518. Let x = n - -11657/12. Calculate the common denominator of -21/8 and x.
24
Let r(p) = p**2 - 12*p + 25. Let n be r(12). Let v = 111 - 437/4. Find the common denominator of 945/n*3/18 and v.
20
Let w = -10 + 24. Let r = -40 + 56. What is the smallest common multiple of r and w?
112
Let l = 126765/16 - 7927. What is the common denominator of 25/22 and l?
176
Let f be 1/(-5) - 2031/(-30). Let x = -118 + f. Suppose 2*y + 4*k + 62 = 2*k, 31 = -y - 5*k. Find the common denominator of y and x.
2
What is the common denominator of (63/30)/7*430/(-108) and -17/18?
36
Suppose c + 11 = 2*c. Suppose -3*a = 4*z - 53, -2*z + 4*a + 21 = -c. Calculate the lowest common multiple of 3 and z.
42
Let t = 3 - 6. Suppose 0 = -2*s + 3*n - 2, -4 = -2*n - 0. What is the lowest common multiple of (-1 + 0)/(t/60) and s?
20
Let f(q) = q + 1. Suppose 0 = -2*p + g + 28, -6*p + p + 76 = -4*g. Calculate the lowest common multiple of p and f(7).
24
Let y = 7294 - 102199/14. Calculate the common denominator of ((-1)/(-10))/(2/6) and y.
70
What is the lowest common multiple of ((3 + -4)*14)/(-1) and 2?
14
Calculate the common denominator of ((-3)/24)/((-4)/(-792)) and -89/22.
44
Suppose 0*q + 5*q = 25. What is the smallest common multiple of 5 and q?
5
Suppose 2*w + 50 = 7*w. Calculate the common denominator of 247/24 + (-3)/(-9) and (182/w)/((-12)/(-10)).
24
Let y(k) = 132*k + 3. Let v be y(8). Calculate the common denominator of -47/2 and v/(-210) - (-2)/5.
14
Let y(u) = 2*u - 7. Find the common denominator of y(-19) and -43/8.
8
Let g = -438/25 - -3693/275. Let p be 324*(-1 + 9/(-3)). Let k = p - -14275/11. What is the common denominator of k and g?
11
Let l = 12 + -27. Let z = -1051833/171020 + 3/8551. Calculate the common denominator of z and (l/(-72))/((-15)/500).
180
Let r = 58 + -40. Suppose 3*z = 3*p + 24, -5 + 33 = 3*z - 2*p. What is the least common multiple of r and z?
36
Suppose 0*f + 5*h - 87 = -4*f, 2*h + 10 = 0. Suppose -2*w = -0*w - f. What is the least common multiple of w and 20?
140
Suppose -2*y - 240 = 3*y. Let d be (-1 - -3) + y/8. Find the common denominator of d/18 + (-934)/(-72) and -73/16.
16
Suppose -22 = -15*p + 13*p. Calculate the lowest common multiple of 18 and p.
198
Suppose -2*z = 2*d, z - 5*d - 12 = -0*d. What is the common denominator of 37/21 - z/(-3) and -37/3?
21
Let x = -138 + 64. Let u = -119/3 + 47. What is the common denominator of u and x/9*12/(-8)?
3
Let f be (-1160)/6*27/6. Let a be f/(-9) - 2/(-6). What is the common denominator of 25/12 and ((-4)/16)/((-4)/a)?
48
What is the common denominator of ((-2)/(-4) - 1)/(12/267) and 11/6?
24
Let f = 4 - 2. Calculate the common denominator of (-4)/(-6) - 23/f and 19/11.
66
Let a be (13 + 1)/2 + -2. Suppose a*s - 41 = 29. Suppose 4*j = 40 + 32. What is the least common multiple of j and s?
126
Suppose 3*w - 13 = -1. Suppose -2*v - r = 4*r - 19, 5*r - 33 = -w*v. Calculate the lowest common multiple of v and 8.
56
Let i = 43 - 175/4. Suppose 6*w = 5*w - 2959. Let d = w + 35563/12. Calculate the common denominator of d and i.
12
Let s = -6465/4 + 1630. Let z = -2137 + 38491/18. Find the common denominator of z and s.
36
Let o(j) = -j**3 - 7*j**2 - 6*j + 4. Let h(x) = x**2 - 3. Let z be h(-3). Suppose 2*y - y = -z. What is the least common multiple of 16 and o(y)?
16
Let u = -4454/11 - -404. Find the common denominator of 16/11 and u.
11
Let o be (9/6)/(99/23). Let c = o + -222/11. Calculate the common denominator of -13/4 and c.
12
Let l = -1 - -12. Suppose -t + 2 = -2*t, -2*d + t - 34 = 0. Let b = l + d. Find the common denominator of b and -39/5.
5
What is the smallest common multiple of ((-140)/(-42))/(2/3) and 4?
20
Let u be (-34)/(-8) + (-10)/40. Let y(x) = x**2 - x - 1. Calculate the least common multiple of y(u) and 3.
33
Suppose u - 2*t - 24 = 2*t, -u + 31 = 3*t. Calculate the lowest common multiple of u and 9.
252
Let l = 4905 - 9919. Let k = -50087/10 - l. Find the common denominator of -19/8 and k.
40
Let j = -145 - -805. Let z = j - 6609/10. Find the common denominator of z and 19/16.
80
Let r = -6 - -6. Suppose -3*p + p + 2 = r. Calculate the lowest common multiple of 3 and p.
3
Suppose -o + 29 - 5 = 5*u, 4*u - 36 = -2*o. Calculate the lowest common multiple of o and 14.
14
Calculate the common denominator of 0 + (3 - (-55)/2)/(-5) and 151/12.
60
Let q = 26 - 15. Let c(o) = o**3 - 2*o**2 - 2. Calculate the least common multiple of q and c(3).
77
Calculate the common denominator of ((-26)/8)/((-32)/(-192)) and ((-2)/(-5))/(-2)*37.
10
Suppose -5*c = -6 - 49. Calculate the smallest common multiple of c and 2.
22
Let y = 93 - 139. Let g = -22 - y. Calculate the common denominator of g and 101/8.
8
What is the smallest common multiple of 5 and (5/15)/(1/3)?
5
Let v = -15 - -31. What is the lowest common multiple of v and 14?
112
Let h(p) = 2*p + 10. Let x(y) = y + 9. Let t(j) = -2*h(j) + 3*x(j). Suppose 0 = 6*l