Suppose -42 = 2*c + 4*k, 5*c - 1 = g*k - 46. Let w = 4783/330 + 37/55. What is the common denominator of w and c?
6
Calculate the smallest common multiple of 612 and 50/5 - (11 + -477).
4284
Let b = 17 - 12. Suppose -h = 4, b*j + 2*h - h - 56 = 0. What is the smallest common multiple of 148/12 + (-2)/j*2 and 40?
120
Let t(n) = -n**3 + 9*n**2 + 11*n - 2. Let z be t(10). Let o(b) = -3*b + 21. Let x be o(z). What is the lowest common multiple of 12 and -16*(x - (2 - 4))?
48
Let t be 0/(2 + 9/(-3)). Suppose -4*i - 5*n + 105 = t, 13 = 4*n - 7. Calculate the smallest common multiple of i and 40/(-15)*-3*1.
40
Let z be (-1317)/(-24) + 5*(-2)/(-80). Let r(a) = 46*a + z*a - 97*a + 25. What is the smallest common multiple of 12 and r(-4)?
36
Suppose 5*l - 1739 = m, -5*m = -5*l - 690 + 2425. Calculate the smallest common multiple of 24 and l.
696
Let a = -926789/100 - -9268. Find the common denominator of a and (-2)/(-12)*(-22977)/(-1035).
100
Let z = -1890/233 + 1828459/226476. Calculate the common denominator of 85/324 and z.
972
Find the common denominator of 17 + (-1818)/108 - 263/1956 and 23/10.
3260
Let l = -43315/111864 + -13/1896. Find the common denominator of 81/38 and l.
4484
Let w(j) = 78*j + 29. Let a be w(15). Let d = a - 9609/8. Find the common denominator of ((-2)/128)/((-1)/86) and d.
32
Calculate the common denominator of 5/171 and 30/(-315) - (-986)/1071.
1197
Let v = 56995/28 + -4069/2. Find the common denominator of v and ((-1)/(-84))/(9/444).
252
Suppose -5*v + 40 = 3*w - 8*w, 0 = 2*v + 2*w. Suppose -4*l = -u - 156, -14*l + 4*u - 176 = -18*l. Calculate the lowest common multiple of v and l.
40
Let f(r) = 11*r + 2. What is the least common multiple of f(2) and 6*(-10)/15*6/(0 + -2)?
24
Let z = -4965 - -4973. Calculate the smallest common multiple of 6/(-12)*2*-11 and z.
88
Let p(w) = 26*w**2 - w. Suppose -776*m + 784*m - 48 = 32. What is the smallest common multiple of m and p(1)?
50
Let v(l) = l + 23. Suppose 25*q + 20 + 30 = 0. Calculate the lowest common multiple of 450 and v(q).
3150
Suppose -33*c - 30 = -28*c. Let j be c*1*(-42)/9. Let g = 39 - j. What is the lowest common multiple of 7 and g?
77
Find the common denominator of (-251)/(-8) + (-5372)/158 and (13/30)/((-18)/25).
216
Let v be 3 + ((-5690)/(-325))/1. Let y = 954067/390 + v. Let h = -2458 + y. What is the common denominator of h and 43/19?
114
Let g(d) = -24*d**2 - 4. Let w be g(3). Let y be ((-24)/(-5))/(1 + w/225). Calculate the common denominator of 2505/y - (-2)/(-9) and -133/18.
72
Calculate the common denominator of 717/5258*(50/1664)/((-2)/4) and 34/5.
45760
Let x be 0 - -4 - (-18)/45*-55. Let j = 16457/13872 - -1/867. Calculate the common denominator of ((-2)/3)/((-102)/x + -3) and j.
16
Let o = 70 - 62. Let a = 61 - o. Find the common denominator of 17/4 and (-28)/(-70) - a/(-30).
12
What is the common denominator of (3 - 236/72)*(-87 + 0) and (-18)/(-2)*(6 - (-132)/(-16))?
12
Suppose 8 + 8 = 4*k. Suppose 4 = 5*f - 2*y, -k*f - 4*y = -2*y - 14. Suppose -3*l = f*l - 25. What is the least common multiple of l and 10?
10
Let l be (-6432178)/2260720 - (-469)/335. Let d = -5/4037 + l. Calculate the common denominator of -4/7 and d.
56
Let r = 102814 + -3805868/37. Let l = r - -44671/1036. Find the common denominator of 9/4 and l.
28
Suppose -47*r = 176 + 59. What is the smallest common multiple of 93 and (r + 2)/(35 - 36)?
93
Suppose 289 = 3*p + 154. Calculate the smallest common multiple of p and 605.
5445
Let j = 80543/26124 - -1/4354. Let z be ((-2568)/33200)/(36/(-2110)). Let u = -29/249 - z. What is the common denominator of j and u?
60
Let z = -15 - -29. Suppose -1573 = -5*y + 11*p - 8*p, -p = -2*y + 630. Suppose 5*c + 181 = d, 2*c + y = 2*d + c. What is the least common multiple of z and d?
1092
Let q = -2636/29 - -296421/3248. Calculate the common denominator of q and -32/245.
3920
Calculate the common denominator of ((-12)/34)/3 + (-748600)/(-8472800) and 63/712.
4984
Suppose l - 67 = 4*s, 2*s + 3*s - 160 = -2*l. Let b(h) = -264*h - 2362. Let a be b(-9). What is the smallest common multiple of 1 - (-78)/a - l/(-175) and 11?
77
Find the common denominator of 114/20 + 260 + -270 and 59/168.
840
Find the common denominator of 5/1269 and (54 - 1)/(-25 - -17 - -83).
31725
Let q = 2/4253 + -225435/55289. Let m be ((-402)/(-55))/((-9)/90). Let u = m - -7874/99. Calculate the common denominator of u and q.
117
Let o = 211 + -156. Suppose -21*j + o = -20*j. Calculate the lowest common multiple of j and 2.
110
Let w be (-3169419)/(-324)*(-40)/812. Let l = 62018/189 - w. Let j = 810 - l. Find the common denominator of 95/12 and j.
348
Suppose -3*a - 3630 = n + 4*n, a - n = -1218. Let u = a - -7403/6. Let i = -9389/8 - -18821/16. Calculate the common denominator of u and i.
48
Let z = 222 - 170. Suppose -9*v + z + 164 = 0. Calculate the least common multiple of 9 and v.
72
Suppose 15 = 103*r - 106*r. Calculate the smallest common multiple of 456 and 21/(-2)*r/((-15)/(-4)).
3192
Let a = 990193/60 + -16501. What is the common denominator of a and 291/(-96)*3*(600/(-36) - -16)?
240
Let l = -391041/8410 - 12/4205. What is the common denominator of -73/1180 and l?
1180
Let j be (-14)/6 - 1/(-3). Suppose -5*h - 1734 = -36*h - 71*h. Find the common denominator of (h/3 - j)/(20/6) and -111/56.
280
Let g = 1147 - 667. Let p = -4312/9 + g. Find the common denominator of -125/12 and p.
36
Let k be (6/9)/(1/432). What is the common denominator of (-20)/k*-69 - (4 + -1) and 2/4*174/24?
24
Find the common denominator of 45/16 and (2/8)/(4500/(-850)).
720
Let f(k) = k**3 - 6*k**2 + 7*k + 20. Let c be f(5). Let p = 33 - c. What is the least common multiple of 35 and p?
105
Let a = 13082 - 12210. What is the least common multiple of 327 and a?
2616
Suppose 9*k - 7*k = -370. What is the common denominator of k/1410 + (-4)/(-12) and (-3)/8*216/14?
658
Let p = -9561/49 + 31743451/162680. Calculate the common denominator of p and -59/2988.
29880
What is the least common multiple of (-7 - (-13 - -14))/((-8)/(-4)) - -488 and 4268?
46948
Suppose -22*u + 940 = -1119 + 211. Let q(i) = i**2 + 7*i + 3. Let l be q(-5). Let m(j) = j**2 + 5*j - 4. Calculate the lowest common multiple of m(l) and u.
420
Let k = -1382/7 - -10895/56. Find the common denominator of k and 25/(-100)*19/(-4).
16
Suppose 3 = -7*v + 311. Let c = -41 + v. Suppose -g = -c*g + 40. Calculate the lowest common multiple of g and 38.
380
Let h = -4212 - -5760. Calculate the least common multiple of h and 11.
17028
Let r(p) be the second derivative of p**4/12 + 11*p**3/6 + 2*p - 30. What is the lowest common multiple of 20 and r(5)?
80
Let h(d) = d**3 - 5*d**2 - 13*d - 20. Let i be h(8). Calculate the common denominator of 46/5*7/(-12) and 13/10 - 17/i.
60
Find the common denominator of 25/198 and 42/648*(1272/126 + (2 - 0)).
1782
Let c = 9347 - 7290653/780. Calculate the common denominator of -133/12 and c.
780
What is the common denominator of 74/99 and ((-511)/(-219))/(15/(-13))?
495
What is the common denominator of -32/45 and -2 + 1/(-2)*8494/(-1860)?
180
Let q be 4 + -11 + 4 + 5. What is the common denominator of ((-133)/(-4))/(9/6) and (q/(24/(-297)))/(-5)?
60
Let u = 623/12 - 6619/132. Let y = -201083/494 + 7761/19. What is the common denominator of y and u?
286
Let v = 746883 + -5246610/7. Let j = v + 2625. What is the common denominator of j and ((-2)/(-12))/((15 + -2)/(-806))?
21
Let k = 1847/12 - 131/4. Let z = k + -985/8. Find the common denominator of 67/90 and z.
360
Let m(d) = 19*d - 74. Let r be m(12). Calculate the common denominator of (3/((-36)/r))/((-1)/(-3)) and 25/51.
102
Suppose 3*w - 1301 = -7*v + 3*v, 5*w - 2130 = v. Let m be w/41510*-622 - (-4)/6. Let d = 1/593 - m. What is the common denominator of -19/6 and d?
30
Calculate the lowest common multiple of 656 and ((-20)/6)/((-885)/43542).
656
Let w = -33 + 45. Let b = 2 - w. What is the common denominator of -5/16 and (-15)/b - 14/32?
16
What is the common denominator of ((-1)/(-21))/((-12586)/5673) and -11/6?
8526
Let n be ((-8)/(-24) - 7)/(2/447). Let k = -66991/45 - n. Calculate the common denominator of k and -22/63.
315
Let o = -20 - -22. Let l = -248 + 258. Calculate the lowest common multiple of l and 9 - (0 + 6/o).
30
Let g = 30304 - 29204. Ca