t m = 24100 - 530099/22. Calculate the common denominator of m and (-34)/(-20)*((-5)/1 + 9).
110
Let a = 64 - 69. What is the common denominator of ((-6)/4)/(27/87) and (-59 + 0)/((-14)/(-3 - a))?
42
Let x(n) = 13*n - 2. Let g be x(1). Suppose -243 = -g*k + 8*k. Find the common denominator of (-1)/(4 + k/(-21)) and 56/3.
3
Let i(z) = 2*z - 3. Let v be i(5). What is the common denominator of (-645)/112 + (-3)/v and 99/8?
16
Let d be (-2162)/1 + (-2 - 0). Let g be (-52180)/(-24) + 3 + -5. Let i = d + g. What is the common denominator of i and 81/8?
24
Let r(n) = -n**3 - 8*n**2 + 11*n + 19. Let a be r(-9). Suppose -3*c = -3*j + 30, -4*j + 5*c - a = -45. What is the lowest common multiple of 3 and j?
6
Let n = -12 - 14. Let g be n*((3 - 3) + 1). Let u = g - -32. What is the lowest common multiple of 5 and u?
30
Let t be 6/(-81)*220437/(-12). Let h = t + -1358. Calculate the common denominator of 39/16 and h.
144
Let l(v) = -v**3 + 12*v**2 + 3*v - 3. Let i be l(12). Let o = i - 21. Calculate the lowest common multiple of o and 3.
12
Let y = -14171/516 + 776/43. Calculate the common denominator of y and 400/24*(-18)/16.
12
Let c be (-703304)/96*2/154. Let u = -987/11 - c. Calculate the common denominator of (-34)/(-33)*(-3)/4 and u.
132
Let y = -2308 + 18381/8. Find the common denominator of y and 23/41.
328
Let v be (-957295)/150 + 1/(-5). Let j = v - -6357. What is the common denominator of -73/6 and j?
6
Let b = -2/1433 - -101761/12897. Calculate the common denominator of -46/27 and b.
27
Let d(h) = -10*h - 16. Let f be d(-6). Let s = f + -35. What is the smallest common multiple of 3 and s?
9
Suppose -513 - 817 = -38*l. Calculate the smallest common multiple of l and 20.
140
Suppose z + 5*x = -21, -4*x - 7 - 11 = 2*z. Find the common denominator of z - (125/(-10))/5 and 109/12.
12
Let s = 1076720/29 + -37136. Let l = 3503/232 + s. Calculate the common denominator of (-57)/(-4)*(3 + -2) and l.
8
Suppose 0 = d - m - 31, -61 - 39 = -3*d - 4*m. Suppose 2*h = v + 88, -3*h = 5*v - 164 + d. What is the lowest common multiple of 44 and h?
44
Suppose 0 = 5*i + 20, -t + 2*i = -3*i - 29. Let r(y) = 39*y - 383. What is the lowest common multiple of t and r(11)?
414
Let v be (-114)/(-19) - (-1 + 4). Suppose -5*s = v*l - 95, -3*s + 6*l + 43 = 5*l. Calculate the least common multiple of 6 and s.
48
Suppose -4*v - 12 = -9*v - 4*l, 4*l + 20 = 3*v. Suppose -2 - 2 = -2*m. What is the least common multiple of v and m?
4
Let w = -28200839/2730 - -72309/7. Let y = -3/65 + w. Calculate the common denominator of -39/16 and y.
48
Let b(o) = 19*o**2 - 6*o + 7. Calculate the smallest common multiple of b(1) and 80.
80
Suppose -514 + 3302 = 41*k. What is the lowest common multiple of 12 and k?
204
What is the common denominator of -47/87 and (-480)/(-864)*(424/(-30))/(-4)?
783
Let v = -35945/8 - -4483. Calculate the common denominator of v and ((-29)/3)/((-150)/(-45)).
40
Suppose -5*d - 45 = 5*q - 205, -5*d - 2*q = -163. What is the smallest common multiple of 192 and d?
2112
Let b = 17 + -13. Suppose -2*m + 7*t = 2*t + 5, -b*m + 1 = t. Suppose 2*f + 2 = o - 3, 2*o + 4*f - 26 = m. Calculate the least common multiple of o and 5.
45
Let t = -2661/5 + 3217/6. Find the common denominator of -61/60 and t.
60
Let q(z) = -z**3 - 7*z**2 + 3*z + 2. Let t be q(-7). Let s = 33 + t. What is the lowest common multiple of s and (28/(-6))/((-2)/6)?
14
Let n = 10 - 5. Let h(w) = w - 3. Let z be h(n). Suppose -y - 16 = -z*y. What is the least common multiple of y and 10?
80
Let b(c) = -6*c**2 - 4*c - 3. Let a be b(-2). Let d = 29 + a. Suppose -2*q + 3*n = -15, 5*q = 4*n + 34 + 14. What is the least common multiple of q and d?
60
Let k(z) = z - 15. Let v(c) = c - 15. Let f(p) = 4*k(p) - 5*v(p). Let b be f(9). Find the common denominator of 20/3 and 2/b*(-15)/(-2).
6
Let z = 4 - 3. What is the smallest common multiple of 18 and 1 + z + 1 + 0?
18
Let o = -9543/2674 - 1/382. Find the common denominator of 3 - (-148)/(-16)*-1 and o.
28
Let p(i) = i**2 + 17*i - 12. Let g be p(-17). Let n be -5 + (3 - 2) - g. Suppose -6*j + n*j - 10 = 0. What is the smallest common multiple of j and 10?
10
Let y = 357 - 2441/7. Find the common denominator of 7/4 and y.
28
Let c = -1227 + 1297. What is the smallest common multiple of 154 and c?
770
Let s = -45 - -52. Suppose 4*p = p + 54. Suppose p = 4*n - 10. Calculate the lowest common multiple of s and n.
7
Let d = 1302637/30 + -43427. Calculate the common denominator of 52/501 and d.
5010
Let x(n) = 7*n**2 + n + 2. Let t be x(-1). Find the common denominator of -39/28 and (-49)/(-88) - t/44.
56
Let m(j) = -j**2 + 5*j + 16. What is the smallest common multiple of 102 and m(6)?
510
Let u(y) = y**3 - 4*y**2 - 4*y. Let l be u(5). Suppose 20 = -l*o, -i + 42 = -4*o - o. Calculate the least common multiple of i and 6.
66
Let v be (3/1 - 5) + 268. What is the common denominator of (3 - 7) + 819/v and -3/10?
190
Let x = 47 - 33. Let g(y) = -y + y**3 - 7*y**2 - 4*y + 7*y + 5*y. Calculate the smallest common multiple of x and g(6).
42
Let d(r) = -r**3 - 19*r**2 - r - 15. Let h(b) = -b**2 - 11*b - 7. Let z be h(-12). Calculate the lowest common multiple of d(z) and 6.
12
Let r(s) = -3*s - 78. Let j be r(-27). Suppose -4*g + 32 = -3*a + 8*a, -5*g + 27 = j*a. Let z(i) = -i + 8. Calculate the least common multiple of a and z(6).
4
Suppose -5*z + 18957 - 361467 = 0. Let p = z - -7125717/104. Let w = p - 1/104. What is the common denominator of -53/10 and w?
10
Let n = 13/3 + 7. Let x = 15/394 + -7211/5713. Find the common denominator of n and x.
174
Suppose -967 = -7*d + 5*d - 5*h, -2470 = -5*d - 2*h. What is the least common multiple of 14 and d?
3472
Let f(u) = u**2 - u + 3. Let p be f(-5). Suppose 1 = -2*a + p. Let x = 7 - 5. What is the least common multiple of x and a?
16
Suppose -33*n = -40*n - 5537. What is the common denominator of 59/3 and 1/(-6) + n/(-546)?
39
Let q be 60/(-100) - 9146/(-10). Find the common denominator of q/(-112) - (-10)/35 and (-3)/(-1*1 + 5).
8
Let t = -218118908/367 + 594330. Let k = 3646/75969 - t. Let b = k + 9/23. Calculate the common denominator of 11/3 and b.
9
Suppose 0 = -5*l + 5*s + 5, 4 + 15 = -l - 4*s. Calculate the lowest common multiple of (-1)/(l/(-2))*-3 and 14.
14
Let g be 3/((-2490)/(-1556)) + (6 - 9). Let h = g + -2/249. What is the common denominator of -11/5 and h?
15
Suppose 0 = 4*l + 2*g + 8022, 2*l - 3*g = -2*g - 4005. Let c = -40147/20 - l. Find the common denominator of c and 125/48.
240
Let o = 7 + 117. Suppose -3*s = 5*v - 232, 3*v - 4*s - o = -2*s. What is the smallest common multiple of 8 and v?
88
Let q be (-4 + (-16)/(-3))*3. Suppose 3*n + 2*w + 69 = 0, 0*w - 75 = 3*n + q*w. Let y = n - 17. Find the common denominator of -32/7 and y.
7
Suppose 0 = -19*g - 138 + 5610. Calculate the lowest common multiple of 12 and g.
288
Let u = 3617/2 + -1767. Calculate the common denominator of -169/30 and u.
30
Let q(i) = i**2 - 8*i + 9. Let d be q(7). Suppose 0 = -0*v + 3*v, d = h + v. Calculate the lowest common multiple of h and 22.
22
Let g be -4 + (6 - 0) + (-342)/3. Calculate the common denominator of -37/12 and (-1)/(-2) + 2*65/g.
168
Let t = 195 + -1756/9. What is the common denominator of -37/3 and t?
9
Let m(y) = y**3 - 10*y**2 + 9*y - 1. Let q be m(9). Calculate the common denominator of -83/10 and -146*5/(-4)*q/(-5).
10
Let w = 10443/140 - 498/7. Let z = -17/10 + w. What is the common denominator of 91/32 and z?
32
Suppose -11*q + 33*q = 44. What is the lowest common multiple of 896 and q?
896
Let h = 843 + -837. Let b(p) = p**2 + 4*p - 8. What is the lowest common multiple of b(-6) and h?
12
Let c be ((-2)/(-2))/1*(-150)/(-1). Calculate the common denominator of -5/12 and 4/(-10) + (-785)/c.
60
Suppose 1 + 93 = 4*m + 2*y, 75 = 3*m + 3*y. Suppose 4 + 7 = c. Let a = c + -1. What is the smallest common multiple of a and m?
110
Let n = -1195 + 1420. Calculate the least common multiple of n and 9.
225
Let g(s) = -s**3 + 6*s**2 + 5*s + 5. Let m be g(6). Suppose m = 2*i - 3*h, -5*h + 5 = i - 6. Calculate the smallest common multiple of 46 and i.
368
What is the common denominator of ((-91)/132)/(390/(-156)) and 1/66?
330
Let s = 889/1839 - -67303138/20229. Let q = -3330 + s. Find the common denominator of q and (-6)/(-