30*i - 117. What is the common denominator of m and i?
9
Suppose 0 = -2*u - 2 - 2, -5*a + 3*u = -1. Let t(f) = f**3 + f**2 + f + 1. Let q be t(-1). What is the common denominator of a + q + (-48)/(-27) and -44?
9
Calculate the common denominator of 39/11 and 2/(-6) + (-5872)/(-480).
110
Let y = -29 - -38. What is the common denominator of 61/8 and y?
8
Suppose 4*s = -5*l - 252, 0*l + 4*l = -4*s - 248. Let t = 1498 - 4565/3. Calculate the common denominator of (1/2)/((-3)/s) and t.
3
Let c = 481/12 - 38. Calculate the common denominator of c and -1/6.
12
What is the common denominator of -3 - ((-1076)/(-56))/(3 - 7) and 27/16?
112
Let w = 17 + -7. Let a be (-4)/w - 732/(-30). Suppose -x + 4*x = a. What is the smallest common multiple of 7 and x?
56
Let r(h) = -h**2 + 10*h + 4. Let l be r(10). Suppose y - g = -0*g + 8, 5*y + l*g = 67. Suppose -d + 11 = -0. Calculate the lowest common multiple of d and y.
11
Suppose -d + 3*p + 0 + 12 = 0, 0 = -5*p - 10. Calculate the smallest common multiple of 10 and 0/(-3) + d + -2.
20
Suppose 0 = -5*d + x - 97, -d + 0*d = 3*x + 29. Find the common denominator of 34/16 - (-1)/(-1) and 25/2 + (-5)/d.
8
Let g = -9 - -8. What is the common denominator of (-3)/6*44/(-18) and 3 + (-101)/(-10) + g?
90
Suppose 0 = 5*n + 12 - 32. Suppose 2*w - t - 24 = 0, -w - 4*t = w - 44. What is the smallest common multiple of w and n?
28
Let p(g) = 14675*g**2 + g - 1. Let j be p(1). Let c = j + -205545/14. Calculate the common denominator of c and -93/16.
112
Let t = -45083/4 - -11358. Let v = 1266198 - 45579751/36. Let h = t - v. Calculate the common denominator of h and -11/9.
9
Find the common denominator of (-82)/16 + 10/20 and 491/(-112) - (-6)/(-14).
16
What is the lowest common multiple of 3 + -1 - -45 - -5 and 44?
572
Suppose 5*w + 2*s = 35, 11*s - 15*s - 47 = -3*w. Calculate the smallest common multiple of 6 and w.
18
Let v be 2/(-2 + 3/2). Let d = 8 - 2. Let a = v + d. What is the lowest common multiple of a and 14?
14
Suppose -5 = 2*i + 5, -5*m + 115 = 4*i. Find the common denominator of -1*(-2 + m/33) and (82/(-8))/(77/28).
11
What is the common denominator of ((-103)/(-8))/(18/(-24)) and 119/10?
30
Let d(c) = -c**3 - 11*c**2 - 12*c - 6. Let o be d(-10). What is the smallest common multiple of (o/(-21))/((-2)/6) and 2/4*-2*-9?
18
Let u(h) = -h**3 + 8*h**2 - 10*h + 6. Suppose 0 = -2*x - x - 225. What is the smallest common multiple of u(6) and (8/(-10))/(6/x)?
90
Let j = 24382 + -11678987/479. Let o = j + 44637/4790. Find the common denominator of o and -49/12.
60
Let u(k) = -k**3 - 6*k**2 - k + 3. Let z be u(-6). Let m = 11693 + -257199/22. What is the common denominator of (-57)/(-594) + 2/z and m?
22
Suppose 8 = 3*w + 2. Calculate the lowest common multiple of w and 30.
30
Let a = 7154 - 150277/21. What is the common denominator of 83/6 and a?
42
Find the common denominator of -3*61/(-24) - 2 and -2 + 3*59/42.
56
Let j = -2815199/498 - -5653. Let k = -426939745645/2739 - -155874316. Let q = j + k. Calculate the common denominator of 43/22 and q.
22
Suppose -4*l + 10 = 2*t, 0 = -t + 4*l - 5 - 2. Calculate the least common multiple of t and 6.
6
Let x be (-2735)/(-3)*(-22)/12. Let z = -49 + 1718. Let k = x + z. Find the common denominator of k and 71/2.
18
Let y(k) = -622*k + 6. Let q be y(4). Let f = q - -7373/3. What is the common denominator of (-85)/(-24) + 2/6 and f?
24
Let q = -43 - -119. What is the lowest common multiple of 1 and q?
76
Suppose 3*l - 5*i - 45 = 0, 4*l + 17 = 4*i + 69. Let w = 85 - 83. Calculate the smallest common multiple of l and w.
10
Let m = -709089/216866 - -4/8341. What is the common denominator of m and 31/2?
26
Let v(t) = 3*t**2 - 2*t - 9. Calculate the least common multiple of v(6) and 15.
435
Let f be -24*-2*(-1)/2. Find the common denominator of -41/3 and f/3*(-3)/(-10).
15
Let q be (4 - (-3)/(-1)) + 1190. Find the common denominator of -89/14 and q/270 - (-4)/20.
126
Let w = 239/2 + -125. What is the common denominator of w and -13/8?
8
Suppose -327 = -2*w + 5*w. Let x = -227/2 - w. What is the common denominator of 74/9 and x?
18
Calculate the common denominator of 3 + (-5)/(75/66) and 23/5.
5
What is the smallest common multiple of (-3 - 0) + (3 - -3) and 7?
21
Let d(y) = -3*y + 2. Let b = -298 - -300. Calculate the least common multiple of b and d(-6).
20
Let f = -12534/5 - -526093/210. Find the common denominator of 11/18 and f.
126
Let c(o) = o**3 + 6*o**2 - 2*o - 5. Let t be c(-6). Find the common denominator of -50/11 and 10*t*3/(-6).
11
Suppose 12 + 3 = 3*s. Suppose 0 = 4*f + 4*g - 40, -s*f + 10 = 4*g - 35. Calculate the smallest common multiple of 5 and f.
5
Suppose 0 = -5*z + z - 12. Let f be 4/6 + (-16)/z. Suppose 0 = t + 3*u + 7, 3*t + 4*u = f*u + 34. Calculate the least common multiple of 10 and t.
40
Let j(k) = -k**3 + 4*k**2 - k + 3. Let n be j(4). Let m be 31/5 + n/5. Let h(w) = 2*w + 4. What is the smallest common multiple of h(m) and 4?
16
What is the common denominator of 73*(-3)/(-54)*-2 and -25/2?
18
Let c(a) = 2*a - 1. Let z be (-8)/20 - 54/(-10). Calculate the smallest common multiple of 9 and c(z).
9
Suppose -2*y + 4 = -8. Suppose 42 = -2*v - 2*d, -v + 1 = -2*v - 5*d. Let z = v + 46. Calculate the smallest common multiple of y and z.
60
Suppose 2*h - 3*h - 9 = -5*f, -3*f = 2*h - 8. Suppose -16 = -f*x - 0*x + 3*v, x + 6 = 5*v. Let r = -13 + 19. Calculate the least common multiple of x and r.
42
Calculate the common denominator of 28 and 14/9*330/40.
6
What is the common denominator of (-231)/114 - (30/6 - 9) and -3/10?
190
Calculate the common denominator of (-48)/616 - -2*1/(-7) and 35/2.
22
Let d(a) = -a**2 + 4. Suppose -u - 4 = -2*t - 2*u, 0 = 5*u - 20. Let n = 220 - 219. What is the lowest common multiple of n and d(t)?
4
Let d be ((-3)/(-2))/(541/28). Let t = d + -37171/11902. Calculate the common denominator of 2/45*790/8 and t.
198
Let i be (1 - 7/5)*-5. Suppose 0 = i*n + 3*n + 10. Let h = 2 - n. What is the lowest common multiple of h and 4?
4
Let m be (1 + 0)*(1 + 4). Suppose -2*t - m*f + 47 = 0, -4*t = -3*f + 4*f - 121. What is the common denominator of 8/7 and t?
7
Let b(s) = 3*s**2 + 4*s + 3. Let f = 9 + -6. Suppose -9 = 4*g + f. Calculate the least common multiple of b(g) and 2.
18
Find the common denominator of 33/2 and ((-3)/(-4))/((-3)/(-71)).
4
Suppose 5*c = -a - 9, 4*a - 3 = 1. Let b be (1/c)/(4/(-184)). Suppose 3*l = 4*k - 4, 7 - b = -2*l - 2*k. Calculate the smallest common multiple of 4 and l.
4
Let m = -14 + 57. What is the lowest common multiple of 3 and m?
129
Suppose 1 - 3 = -2*w. Let s = 10 - w. Suppose -31 = -5*z - 2*b, 3*z + 31 - 34 = 4*b. What is the lowest common multiple of s and z?
45
Let h = 0 - 2. Let u be h/(-8) + (-3716)/14288. Let v = u - -52768/8037. Calculate the common denominator of v and 65/6.
18
Let h be (-2)/(-18)*31026/4. Let o = -865 + h. What is the common denominator of 52/5 and o?
30
Let p = -196319/70 - -13986/5. Find the common denominator of p and -53/6.
42
Let w = 11/10 + -7/5. Calculate the common denominator of w and ((-37)/(-5))/((-6)/5).
30
Suppose 5*d - 2*h - 120 = 0, -2*d + 24 = -d - 2*h. Calculate the lowest common multiple of 9 and d.
72
Suppose 5*z - z = 36. Suppose 0 = r - 4. Calculate the lowest common multiple of z and r.
36
Let y = -15 + 9. Let z(b) = b**2 + 6*b + 4. What is the least common multiple of 8 and z(y)?
8
Let p be (2 - (-10)/(-6))*102. Let h = -12 + p. What is the least common multiple of 2 and h?
22
Suppose -2*l + 2 = -0*v + v, -3*l + 13 = -v. Suppose -2*d + 5*m + 53 = 0, m + 17 = l*d + 6*m. Let n = 0 + d. Calculate the smallest common multiple of 8 and n.
56
Calculate the common denominator of 6/(-21) + (-814)/(-56) and 2/3 + (217/30)/1.
20
Suppose 0 = 3*x - 2*x + 4*r - 24, -2*x = -5*r + 17. Suppose 0 = -2*y + 7*y - 20. What is the smallest common multiple of y and x?
4
Suppose 5*t + 5 = 0, 0*j - 1 = -5*j - 4*t. Let l(b) = b - 6. What is the least common multiple of j and l(9)?
3
Let n be (17870/6)/(20/(-15)). Let o = 2256 + n. Let s = 2/147 - 2503/294. Calculate the common denominator of s and o.
4
Suppose -2 = 2*k + r, 8*k - r = 3*k + 9. What is the lowest common multiple of k and 8?
8
Let l(u) = -u + 6. Let r be l(8). What is the smallest common multiple of ((-22)/4)/(r/8) an