of (-8)/15*((-78)/112)/((-12)/(-80)) and 13/471.
3297
What is the common denominator of (25 - (5 + -4 + 3))*(-4)/(-32) and -109/78?
312
What is the common denominator of -65/333 and ((-4)/50)/(1/(-5))*(-1280)/(-720)?
1665
Let o be (-9479639)/(-1716) - 4/22. Let d = o + -5534. What is the common denominator of -65/99 and d?
396
Calculate the common denominator of (-2 - (-25)/2)*11358/19896 - 6 and 73/22.
72952
Suppose 4*b = 3*v + 16, -3*b + 0*b + 3*v = -12. What is the smallest common multiple of 612 and b?
612
Let s(i) = 5*i - 159. Let x be s(32). What is the common denominator of ((-205)/(-45) - x)/(-2) and 61/30?
90
Suppose 0 = -2*i + p + 8, -4*p + 8 + 8 = 0. Let t be (-7 - (-3 - 0)) + i/2. What is the least common multiple of 1 and (-7)/(-2 + t/(-1))?
7
Let r = 119/20068 - 902737/14328552. Calculate the common denominator of r and 13/204.
2856
Suppose u = 5*p + 22, 6*u - 10*u - 5*p - 12 = 0. What is the common denominator of 27 and (-819)/280 - (u - 21/6)?
40
Suppose 33*j - 1728 = 9*j. Suppose -h + j = 11. Calculate the least common multiple of 3 and h.
183
Let x(j) = j**2 - j + 77. Let w be x(0). Suppose 832 = -n + w. Let i = n + 2245/3. What is the common denominator of i and 17/2?
6
Let k = 62011 + -186005/3. Find the common denominator of ((-7)/(-2))/((-62)/12) and k.
93
What is the common denominator of -47/219 and 250/534*((-10)/65 + 189/(-546))?
38982
Suppose -6 + 12 = 2*c. Suppose 2*w + 3*a + 11 = c*w, 0 = -2*w - 2*a + 6. Suppose -w*n = -2*n - 162. Calculate the lowest common multiple of n and 2.
54
Let i = -374 + 416. What is the least common multiple of (198/4)/((-42)/(-56)) and i?
462
Suppose 0*d + d - 2*q = 1, -2*d - 5*q = 16. Let l be -630 + d + 4 + -3. Let i = l - -5744/9. What is the common denominator of i and -38/3?
9
Suppose 4*h - 17 = -41. Suppose 2*w - 8 = 0, -62*w + 67*w + 232 = 3*r. What is the smallest common multiple of (-8)/h - 182/(-39) and r?
84
Suppose 0 = 6*a - 5754 - 4387 + 2899. What is the lowest common multiple of 10 and a?
12070
Let b = 3364/331 - 24247219/2384855. Find the common denominator of -38/9 and b.
64845
Let v be (-69 - 2/(-2))*(-24)/96. Let g(t) = -t**3 + 17*t**2 + 1. Let c be g(v). Calculate the common denominator of (-15 - -18) + (262/(-40) - c) and 38.
20
Let w be (-1 - 1)*4/((-10)/5). Suppose -w*c - 4*d + 395 = -5*d, -305 = -3*c - d. Suppose -6*p = -p - c. Calculate the smallest common multiple of p and 20.
20
Let i(u) = u - 3. Let r be i(13). Suppose -4*f - r - 178 = -4*v, -f = 3*v - 161. Calculate the least common multiple of 117 and v.
468
Let q(u) = -u**2 - 5*u + 6. Let a be q(-7). Let h = 13 + a. Let x(m) = -253*m - 436. Calculate the lowest common multiple of x(-2) and h.
70
Let r = 32865/21344 + 36/667. Let g = 758/39 + -3236/117. What is the common denominator of r and g?
288
Let y = -89414037409/7266 + 12305813. What is the common denominator of 49/12 and y?
14532
Suppose -130 = -18*d + 68. Suppose -18 = -d*s + 4. Calculate the common denominator of -69/10 and s.
10
Let j = 74 + -89. Let n(w) = -9*w + 15. Let m be n(j). Suppose -16*x + m = -11*x. What is the least common multiple of 15 and x?
30
Let q(x) = 7*x**3 + 2*x**2 - 1. Suppose t - 3 = -2*t. Let z(m) = m**2 + 243*m + 4292. Calculate the lowest common multiple of z(-19) and q(t).
72
Let m be 35/42 + (-25034)/(-19320). Let h = 8/115 - m. Calculate the common denominator of 101/48 and h.
336
Let o = 3149/5 - 34459/55. Suppose 5*g - 11 = 19. What is the common denominator of ((-4)/((-16)/g))/((-60)/55) and o?
88
Let l = 71 + -64. Suppose 0 = l*c - c - 18. Find the common denominator of 121/12 and c/(-2) - -1*(3 - -1).
12
Suppose -3*o + 35 = -2*q, -5*o = -6*q + 2*q - 61. Let z be o/((-9)/(-26)) - -4. Calculate the common denominator of 81/z + 4 + -3 and -115/14.
70
Let c = -94 - -184. Let a = -83 + c. What is the least common multiple of a and 7?
7
Suppose 0 = 71*p - 17*p - 1836. Calculate the smallest common multiple of p and 4.
68
Suppose 2*k - 1885 = -5*z, -5*z - 4*k + 1875 = -0*k. Let i = z + -813/2. Let v = 2613/460 - 268/115. Find the common denominator of i and v.
20
Suppose -5*c + 4*i + 40 = 2*i, -5*c - i = -25. Let x = c - 3. Calculate the common denominator of -97/10 and (-13)/(-57) - (x/(-9))/(-1).
190
Let h = -171 + 173. Find the common denominator of -51/4 and h/12*((-531)/(-6))/1.
4
Suppose -9 = 3*o - 18. Suppose -3*l = p + 21, -l - 2*p - 9 - o = 0. Calculate the common denominator of (-610)/(-224) - l/(-21) and -47/36.
144
Let r = 72578 - 101665. Let q = -3665059/126 - r. Calculate the common denominator of q and 40/33.
1386
Let z = -26190/101 - -71648669/276336. Find the common denominator of z and 40/19.
2736
Suppose 3*j = -3, -2*u + 2*j = -4*u - 112862. Let v = u + 13543273/240. What is the common denominator of v and 119/18?
720
Suppose -115 = 3*z - 0*z - 5*d, -100 = 4*z + 4*d. Let o = 26 + z. Let h = o - -10. Calculate the least common multiple of 23 and h.
138
Let o = 11 + -1. Suppose 2*w + 222 = 3*g, -2*g + 132 = -0*w + 4*w. Calculate the smallest common multiple of (-6)/(g/20)*-12 and o.
20
Let u = -379257/15400 + 1229/50. Find the common denominator of 119*(-2525)/(-15750) - 20 - (-2)/9 and u.
3080
Let d = 118564508/1539 - 77040. Calculate the common denominator of d and -49/30.
15390
Let x(c) = -c**2 + 11*c - 12. Let y be x(10). What is the common denominator of 4/(-29)*(-39)/(1716/(-374)) and ((-411)/(-18) - y)*-1?
174
Let b(r) = -r**2 + 9*r + 6. Let j be b(0). Suppose -3*t - j*o = -o - 22, -4*t + 14 = -o. What is the lowest common multiple of t and 9?
36
What is the common denominator of (56 - 57)/(1 + 122/(-94)) and (3 - (4 - 3))*117/(-408)?
476
Let y = 5/138 - -395/27186. Let i = 8137/1182 - y. What is the common denominator of -71/33 and i?
66
Let y be (-9 - (-5 - 0)) + 32. Calculate the lowest common multiple of 141 and (-77)/(-35) - y/(-35).
141
Let m = 429 + -2. Let w(k) = -m*k**2 + 429*k**2 + k + 8 + 6*k. What is the lowest common multiple of w(-4) and 32?
96
What is the lowest common multiple of 24 and (-2247484)/(-610) + 6/(-15)?
7368
Let z(p) = -1247*p - 127. Calculate the lowest common multiple of z(-1) and 96.
3360
Let d = 29394375206/2923 - 10056235. Let f = 58551/2583932 - d. Calculate the common denominator of f and -52/5.
4420
Let r = -3/10142515 + 15511962978/1815510185. Let m = -10/179 - r. What is the common denominator of 23/4 and m?
20
What is the common denominator of (12 - 303/26)*(-3)/44 and -29/24?
3432
Let b = 127 - 125. Let d = 277 - 193. Calculate the lowest common multiple of d and b.
84
Let k(h) = 4*h + 39. Let x be k(-9). Suppose 0 + 12 = x*p. Let m(j) = -j + 2. What is the lowest common multiple of p and m(-5)?
28
Let s be (-6)/(-8) - 14*(-62)/16. Calculate the common denominator of 581/770 + 10/s and -54/11.
110
What is the smallest common multiple of (-20009)/(-77) - (-4 + 6)/(-14) and 340?
4420
Let b(l) = 627*l + 1262. Let s = 38 + -30. Calculate the least common multiple of b(-2) and s.
8
Let l be 1/(-2) - (-8613)/48. Let u = l - 179. Calculate the common denominator of 452/(-3)*31/248 and u.
48
Let r(g) = g**2 - 5*g + 4. Let z = -192 - -274. Suppose -q - 3*m + 14 = 1, 4*q + 2*m = z. What is the least common multiple of r(5) and q?
44
Let j = 201539891/1128 + -178670. Calculate the common denominator of -83/16 and j.
2256
Let q(x) = x**3 - 31*x**2 + 39*x - 28. What is the smallest common multiple of q(30) and 3?
726
Let c(h) = 922*h - 3460. Calculate the smallest common multiple of c(4) and 510.
19380
Calculate the smallest common multiple of 441/4 + (4/(-10))/((-96)/(-60)) and 5060.
5060
Let d = -608 + 611. What is the least common multiple of d and 74?
222
Calculate the common denominator of 328/(-492)*(-66)/14 and -47/2567.
17969
Let i be ((-5762)/(-688))/(2/(16/(-6))). Let s = i - -25/2. What is the common denominator of -88/21 and s?
21
Let i(s) = -s**3 + 5*s**2 + s - 3. Let u be i(5). Let k be 318 + (13 + -8)*-1 - 5. Calculate the common denominator of u/(-4)*(-2380)/k and 93/16.
176
Let i = -3 + 12. Suppose -n + 51 = 28. What is the least common multiple of (-50)/(-10)*i/5 and n?
207
Let q be 40/260 + 4/(-26). Suppose 22*v + 47 + 41 = q. What is the common denominator of -36/65 and v?
65
Let j(a) = 8*a**2 - 2*a - 2. Let o = -1354 + 1382. Suppose 96 = 4*n - 1