12
Let s be (1 - (-2)/10) + 3. Let c = s - 81/20. What is the common denominator of 35/22 and c?
220
Let z(m) = m - 9941478. Let f be z(0). Let p = f + 10975392557/1104. Let i = -14/69 + p. Calculate the common denominator of i and -7/6.
48
Let x(g) = g**2 + g + 4. Let z(t) = -t + 1. Let w be z(4). Let k be x(w). Calculate the least common multiple of 1*3/6*k and 3.
15
Suppose 14 - 2 = 4*l. Suppose -6 = l*x - 153. What is the common denominator of 57/8 and x?
8
Suppose -4*a = -5*p - 7, 2*p - 2*a - 8 = -4*a. Let y be p + 1 + 2 + 56. Let f = y - 29. Calculate the common denominator of 93/8 and f.
8
Let d be 585/(-63) - (-4)/14. Suppose 24 = 4*c - 0. What is the least common multiple of d/c*-10 + 1 and 20?
80
Let s(g) = 2*g + 60. Suppose l + 10 = -5*d + 40, 4*l - 4*d - 24 = 0. Calculate the lowest common multiple of l and s(-25).
10
Let u(x) = 3*x + 13. Let t = 48425/6762 - -6/1127. Find the common denominator of u(-9) and t.
6
Let x be 2049/8124 - 1/4. Let h = x - 19645/5416. Calculate the common denominator of h and -46/5.
40
Suppose 2*j + 4*t - 17 = -j, j + 3 = 3*t. Suppose -56 + 6 = 3*q + b, 15 = -2*q + j*b. Calculate the common denominator of 95/8 and 18/16*108/q.
40
Let k be (-16)/9 + 10/(-45). What is the smallest common multiple of 6 and -3*k*(-15)/(-9)?
30
Suppose 5*t - 12 = -2. Let w be -3*t*11/(-2). Find the common denominator of -145/6 and -1 + -1 - (w - 1).
6
Suppose -5*r + 0*v = 3*v - 1725, -5*r - 5*v + 1735 = 0. What is the common denominator of 61/20 and 2/4*r/(-60)?
20
Let v = -426/5 - -1801/30. Let l be (2 - 371498/(-22980)) + 0. Let c = l - -1/1915. What is the common denominator of v and c?
6
Suppose 5*c - 22 - 8 = 0. Calculate the smallest common multiple of 18 and c.
18
Suppose 5*k = -1911 - 9. Let f = 57088 - 226771/4. Let b = k + f. What is the common denominator of b and 79/2?
4
Suppose -10*w + 11*w = 5. Calculate the least common multiple of 32 and w.
160
Let u = 533/210 - 4/105. Calculate the common denominator of 59/10 and u.
10
Let k(c) = c**3 - 16*c**2 - 17*c + 8. What is the lowest common multiple of 16 and k(17)?
16
Let z = 139995/16 + -8747. Calculate the common denominator of 6/9 - 586/24 and z.
16
What is the common denominator of 4 + -2 + (-237)/(-6) and -26/9?
18
Suppose -3*s - 1 - 17 = -3*i, 2*i - 3*s = 11. Let l(x) = 4*x**2 - 8*x + x**3 - 6 + 2 + x**2. What is the least common multiple of l(-6) and i?
56
Let x = -24/13 + -88/65. Calculate the common denominator of x and 53/3.
15
Suppose 2*a + 150 = -3*a. Let v = 71 + a. Calculate the common denominator of (134/(-4))/(9/(-2)) and v.
9
Suppose 0 = 4*d + 18 + 14. Let i = d + 10. Calculate the least common multiple of i and 6.
6
Let w = 2752 - 44013/16. Suppose 0 = -4*n - v - 267 + 4, n = 5*v - 71. Calculate the common denominator of 108/8*2/n and w.
176
Suppose -4*v + v + 3 = -3*g, 3*v - 23 = -2*g. Let c(r) = -6*r - 3. What is the least common multiple of c(-2) and g?
36
Find the common denominator of 109/12 and (-229)/60 - 16/(-64).
60
Let y = 485/108 - 20/27. Find the common denominator of y and -39/4.
4
Suppose -4*j = j + 100. Let x = j + 28. Calculate the lowest common multiple of x and 9.
72
Suppose -14 = -2*g + g. What is the common denominator of -89*(-1)/g + -2 and -51/16?
112
Suppose -30 = 14*x - 19*x. Calculate the smallest common multiple of x and 14.
42
Let z(s) = 17*s - 8. Let v be z(6). What is the common denominator of (v/10)/(44/(-55)) and -58/5?
20
Let h = -52398/7 + 6896. Let j be (-397006)/672 - (-1)/(-3). Let c = h - j. Find the common denominator of c and -119/10.
80
Calculate the common denominator of -4/7 and 2/(-1)*-2 + 3.
7
Let w(a) = 2*a**2 + 4*a**2 - 3*a**2. Let b be w(-1). Let h = 7 - b. What is the lowest common multiple of h and 6?
12
Calculate the common denominator of ((-19)/27)/1 + (-24)/(-36) and -137/18.
54
Let c(j) = j**3 + 2*j**2 + j + 2. Let f be c(-2). Calculate the lowest common multiple of 5/(5/4) + f and 2.
4
Suppose d = 4*i - 16 - 84, -2*i = 4*d - 50. Calculate the lowest common multiple of i and 11.
275
Suppose -t = 2*t + 24. Let h(w) = w + 11. Let q be h(t). Suppose -2*u - q*n + 9 = 0, 2*u + 3*n + 6 = 5*u. What is the smallest common multiple of 1 and u?
3
Let g be 932/10*10/(-6). Let v = -150 - g. Calculate the common denominator of (-12)/(-3)*(-28)/(-64) and v.
12
Let z be 1 - 3/(-1 + 0). Suppose -l = z*l - 240. What is the lowest common multiple of l and 10?
240
Let m = -5 - -27. What is the least common multiple of 2 and m?
22
Let c = -1457 - -8767/6. What is the common denominator of -41/58 and c?
174
Suppose 6*y - 3*y = 6. Let c(a) = a**3 - 2*a**2 + a + 2. What is the least common multiple of (-63)/6*4/(-6) and c(y)?
28
Let r be (-11489)/(-19115) - 21/35. Let t = r - -118425/84106. Calculate the common denominator of -79/2 and t.
22
Suppose -o - 5*x = 10, -3*o + o - 2*x = -4. Suppose o*s - 6 = 39. What is the smallest common multiple of 5 and s?
45
Let r = 38615 - 351782651/9110. Let t = 70149/18220 + r. Find the common denominator of (-6)/21 + 2652/560 and t.
20
Suppose -4*f + 5*u + 30 = 0, -4*f - 3*u + 48 = u. Calculate the least common multiple of 20 and f.
20
Let j = 14 + -9. Suppose 13 = 3*n - 5*c + 33, 12 = -4*n + 3*c. Calculate the lowest common multiple of (0 - 0 - -1) + n and j.
5
Let v = 6313/260 - 263/13. What is the common denominator of v and 7/2?
20
Let r(p) be the third derivative of -p**4/12 + 2*p**3/3 - 6*p**2. Let g = 16 + -4. What is the least common multiple of r(-3) and g?
60
Let q be 1*(-3)/6*2. What is the smallest common multiple of 75/7 - (-2)/7 and q/5 + 64/20?
33
Suppose 13 = 4*k + 5. Let x(t) = 13*t**3 - 3*t**2 + t + 1. What is the lowest common multiple of k and x(1)?
12
Let n = -13 - -28. What is the common denominator of n and 31/6?
6
What is the common denominator of (-485)/30 - 4 - -4 and -25/18?
18
What is the common denominator of 1035/(-350) - (-2)/(-5) and -63/4?
28
Let f(x) = x**2 + 3*x - 5. Calculate the common denominator of f(4) and -109/6.
6
Let g = 30 + -20. What is the least common multiple of g and ((-4)/(-3))/((-6)/(-27))?
30
Suppose 20 = 2*a + 3*a. Calculate the lowest common multiple of a and 1.
4
Let x = 10217/4 - 2567. What is the common denominator of x and -93/2?
4
Suppose -w - 5*t = -13, -t = -5*w + w + 52. Calculate the common denominator of 1/20 and w/40*-1*2.
20
Let i(o) be the first derivative of -o**4/4 + o**2/2 + 10*o - 4. Calculate the lowest common multiple of i(0) and 4.
20
Suppose -b = -0*b - 38. Suppose 5*r = -b + 178. Suppose 2*c - r = -2*c. Calculate the lowest common multiple of 6 and c.
42
Let v be 2*(1 + (-6946)/7). Let w = v - -1977. Find the common denominator of w and -11.
7
Suppose 2*k + c - 28 = 3*c, k = 3*c + 22. Find the common denominator of -3/2 and k/(-25)*(-410)/88.
22
Let o = -7 + 11. Suppose -3*y + o*y - 1 = 0. Suppose -g - 2 = j, g - 2*j - 7 = 6. What is the least common multiple of g and y?
3
Let y = -74/69 + -403/1104. Let p = -6/1637 + -47365/29466. What is the common denominator of y and p?
144
Suppose 5 = -3*s + 5*h + 1294, -s - 2*h + 437 = 0. Suppose 5*o - 1798 = -s. Calculate the common denominator of -87/10 and ((-6)/(-112))/(6/o).
80
Let s = 10 + 2. Let r = 24 + -12. What is the lowest common multiple of r and s?
12
Let d be ((-1)/(-2))/(1/8). Suppose 3*h = -d*j + 150, h - 40 = -5*j + 142. What is the common denominator of (-417)/j + 2 + -1 and 149/18?
36
Let j = -2921/1808 + 6/113. Find the common denominator of (9/6)/(1/((-244)/12)) and j.
16
Find the common denominator of (114/(-45))/(8/(-5)) and (-4)/(-16) + (-79)/8.
24
What is the common denominator of 3249/(-270) - (-1)/3 and -119/20?
20
Let f = 12573094451 + -539260020750319/42890. Let g = f - 2/4289. What is the common denominator of -15/2 and g?
10
Let h = -1602 - -6473/4. What is the common denominator of 37/3 and h?
12
Suppose s = o - 4, 38 = 5*o + s + 3*s. Suppose 4*w + 0*w = d - o, 2*d = -4*w. What is the least common multiple of 18 and d?
18
Let h = 374/47 - 6105/1222. Calculate the common denominator of -25/18 and h.
234
Let f = -95 - -131. What is the least common multiple of f and 24?
72
Let m = 159 - 99. Suppose 0*z + m = 4*z. Calculate the least common multiple of z and 1.
15
Suppose 3*q - 15 = 75. What is the least common multiple of 20 and q?
60