47
Let q = 2022 + -20177/10. Let j(g) = 25*g**2 + 3*g + 3. Let a be j(-2). Calculate the common denominator of q and 4/(-12) - a/132.
220
Let g be ((-94900)/(-30) - -3)*(-78)/(-29780). Let r = 10/1489 + g. Let b = 1120/9 - 2245/18. Find the common denominator of r and b.
90
Let v(b) = -5*b**2 + 3*b - 14. Let q be v(3). Let p = q - -62. Calculate the common denominator of -3 and p/14 - (3 + (1 - 3)).
7
Suppose -6*g + 11*g - 3*z - 21 = 0, 3 = -g - 3*z. What is the smallest common multiple of g and 189?
189
Let q(b) = b**2 - 10*b - 1. Let p be q(10). Let l = p + 19. Let a = -1205 + 1216. What is the smallest common multiple of a and l?
198
Suppose 4*s = -2*d + 3698 - 3304, -2*d = -4*s - 442. Calculate the least common multiple of 190 and d.
2090
Let y = -34490 - -8277661/240. Calculate the common denominator of y and 93/70.
1680
Let z = -261707/87180 - -27/1453. What is the common denominator of z and ((-3)/(-30))/((-28)/(-2765))?
120
Let m be 5 + (-26)/(10/5). Find the common denominator of 402/m*((-16)/15 + 1) and -1/58.
580
Let f = 1755/7 + -18327/70. Let m = 205393/34875 + -2/3875. Calculate the common denominator of m and f.
90
Suppose -262*a = 2*a - 409200. What is the lowest common multiple of a and 775?
1550
Let m(s) = -6*s - 6. Let g be m(-1). Let k(j) = j**2 - 4*j - 2. Let h be k(g). Find the common denominator of -70/3 and (-2)/20*h - -2.
15
What is the common denominator of 99/80 and (-46055)/(-3624) + ((-22)/12 - 6/(-12))?
80
Let n(r) = 9*r**2 - 35*r - 40. Let l(u) = -22*u**2 + 88*u + 100. Let m(c) = 5*l(c) + 12*n(c). Calculate the lowest common multiple of 16 and m(10).
80
What is the smallest common multiple of 290/((-40)/(-4)) + -15 and 18038?
126266
What is the common denominator of 54/(-198) + 1434/220 + (-10 - -4) and 18/1243?
12430
Calculate the common denominator of -67/2015 and (2/(-42))/(((-5)/(-9))/(92/(-276))).
14105
Suppose 5*w - u = 2*u + 127, -4*w + 107 = 3*u. Let n be 24/(-156) + 56/w. Suppose i = -n*i + 3. Calculate the least common multiple of i and 2.
2
Let r(d) = -d**3 - 8*d**2 + 6*d + 24. Let h be r(-8). Find the common denominator of (-289)/h + -1 - (-1)/(-8) and -91/36.
36
Let i be (-3)/(-2*(-1)/(-2)). Suppose 12168 = -n + i*n. Let j = -60897/10 + n. Find the common denominator of -42/5 and j.
10
Suppose 20 = -2*r + 6*r. Let f be (-1 - 0)*(-3 + r) + 2. Suppose -3*y + 6*y - 18 = f. What is the lowest common multiple of 15 and y?
30
Let x be ((-16)/(-40))/(2/(-10)). Find the common denominator of (-2961)/(-90) + -17 - (0 + (-1 - -7)) and 782/144 - x/(-9).
120
Let a = 535998022509/2140 - 250466361. Let o = -3121/4 - -334079/428. Let u = a - o. Find the common denominator of -93/20 and u.
20
Let t = -8065/54 + 147. Calculate the common denominator of t and -83/678.
6102
Suppose 20 = 4*z + 4*s, -3*s + 20 - 77 = -5*z. What is the common denominator of (-246)/432 + z/(-24) and -26/9?
18
Calculate the common denominator of ((-14)/(-98))/(96/798) and (-5)/120 + 0/(-2).
48
Let r(b) = -2*b**2 - 2*b + 2. Let i be r(-2). Let y be 9 + (-2 + i)/(-4). Calculate the common denominator of (-4)/y + (-914)/(-60) and 95/2.
6
Let u = -33 - -33. Suppose -3 = 4*q - 2*g - 1, u = -3*q + 4*g - 9. Find the common denominator of 4/7 and q - 1*(-9)/33.
77
Let i be 4/(-18)*(-21 + 12). Suppose 3*p + i*d = -18, 4*p + 6 = 3*p - d. Find the common denominator of 149/30 and (-1)/3*p*395/(-600).
60
Let c be (1 + 7/(-21))*3. Suppose 3*t - 17 - 1 = 0. Calculate the least common multiple of 2*((-2)/(-8))/(c/4) and t.
6
Let w = -215435/91 + 2368. Calculate the common denominator of w and -4/1339.
9373
Let o = 7548 + -90691/12. Suppose -97 = -5*w + 2*s + 11, 0 = 4*s - 4. Suppose r - w = 2*r. Calculate the common denominator of r and o.
12
Let l = -25046 - -25112. What is the least common multiple of l and 6732?
6732
Let m = 4487767/27433458 - -9/39079. Find the common denominator of 1/7722 and m.
7722
Let q = 319/560 - 21613/31920. Find the common denominator of 71/48 and q.
912
What is the common denominator of (19/(-20) - -2)/6 and ((-12)/1100)/(6/30)?
440
What is the common denominator of 91/408 and 3211/(-4760) - (15 + 312/(-20))?
2856
Let i be (-39394)/393890 - 1/(-10). Let b = i + 6223507/3545010. Find the common denominator of b and 83/45.
45
Let h = -219642 + 219649. Suppose 0*v + 3*v - 1085 = j, j - 359 = -v. What is the lowest common multiple of h and v?
2527
Let s be (-91515)/(-10)*1/(-2). Let i = s + 4598. Suppose -2*w - 2*d - 4 = 0, 0 = -7*w + 5*w - 3*d - 2. What is the common denominator of w and i?
4
What is the common denominator of 6 - ((-13)/(-78) - (-8351)/1482) and -55/133?
1729
Let k(a) = -30*a - 160. Calculate the least common multiple of k(-6) and 194.
1940
Find the common denominator of (-235)/1659 - (-318)/742 and 137/192.
15168
Calculate the common denominator of (-2024)/(-8602) + (-3274)/3366 and 58/105.
3465
Let v = 52 - 48. Suppose -5*t - 48 = 7. Calculate the common denominator of (2/v)/(4/t) and 109/6.
24
Let l = 112/9 + 2269/18. Let i = l - 368/3. Find the common denominator of i and 3105/(-486) + 0 + 7.
18
Suppose 16*z - 5141 = -397 + 568. What is the lowest common multiple of z and 913?
3652
Let o be (68/(-144))/(4/(-20)). Let v = 481/204 - 15/34. Let d = o - v. Calculate the common denominator of d and 99/4.
36
Let x = 2388 - 2212. What is the least common multiple of x and 1008?
11088
Let j = -5142/5 + 1024. Let w = 11/59 - -2317/1180. Let l = w + j. Find the common denominator of l and 42/5.
20
Let q(h) = 5*h + 30. Let o be q(-12). Let f be (4/(-2) + (-776)/20)*o. Let n = -24461/20 + f. Find the common denominator of n and 101/88.
440
Let w = -376 + 352. Calculate the smallest common multiple of 5 + (8/w)/((-2)/114) and 24.
24
Let t be 11/22 - (-4710)/4. Let i = t - 21293/18. What is the common denominator of i and (-37)/(-11)*(-1)/(-2)?
198
Suppose 0 = 2*u - 12 + 12. Suppose 9*c + 1 - 19 = u. Calculate the smallest common multiple of 14 and c.
14
Let u(v) = 2*v + 10*v**2 + 13*v**3 - 5*v**3 - 7*v**3 + 20. What is the lowest common multiple of 6 and u(-6)?
456
Let g = -65955 + 3957407/60. What is the common denominator of -151/24 and g?
120
Let d(n) = n**3 - 14*n**2 + 20*n + 11. Let c be d(17). What is the common denominator of -1*c/(-36) - (-8)/(-6) and 37/41?
82
Let y be (-208)/(10/20*4/(-26)). Suppose 26*w - 18*w - y = 0. What is the smallest common multiple of w and 6?
1014
Let j = 18373/1050 + 1/525. What is the common denominator of -2 + 2 + 5 + 524/(-80) and j?
20
Calculate the common denominator of (-6)/(-16) + 665815/69384 + -10 and -29/12.
588
Let j(z) = -220*z**2 - 3*z - 18. Let i be j(-10). Let d = i - -33173. Let l = d - 167708/15. Calculate the common denominator of 35/4 and l.
60
Suppose 0 = -18*l - 131 + 59. What is the common denominator of -53/166 and (30/l)/((-6)/(-38))?
166
Let n be (-3 + -16)/((-3)/(0 - 3)). Let h(g) = 2*g**2 + 38*g + 11. What is the lowest common multiple of h(n) and 33?
33
Suppose k = 4*l - 468, -7*k + 468 = 4*l - 12*k. What is the lowest common multiple of 15 and l?
585
Suppose 4*h + 373 = 5*r, 5*r - 597*h = -602*h + 310. Let m = 29 - 14. What is the least common multiple of m and r?
345
Let q = 288227/141480 - 1/5240. Calculate the common denominator of q and (-25)/(-16) - (-1)/(-3).
432
Let f(t) = -t**3 + 10*t**2 - 6*t - 28. Let b be f(7). Suppose 17*w = 18*w - b. Calculate the smallest common multiple of 35 and w.
385
Let b(u) = 3*u - 8. Suppose -87 + 81 = 2*g, 0 = -3*t + 5*g + 465. Calculate the least common multiple of t and b(6).
150
Suppose -2*i + 10 = -2*f, i - 2*f = -0*i. What is the smallest common multiple of i and 260?
260
Let n = 86 - 81. Suppose -161 = -n*x + 4. What is the smallest common multiple of 36 and x?
396
Let r = -87616/5 + 262643/15. Let c be (-10)/(-1336)*2/(-3). Let l = -30298/2505 + c. Find the common denominator of l and r.
30
Let u = -15798 + 221071/14. Let j be (2 + -1 - (10 + -7))/(-2). Find the common denominator of u and (-3565)/(-2944)*j/5*2.
448
Let g = 228 - 223. Suppose 4*m - 4*b + g*b = 44, -5*m - b = -56. What is the smallest common multiple of ((-40)/6)/(2/(-3)) and m?
60
Suppose b = -4*m + 2310, -3*m + 1758 = -25*b + 30*b. Calculate the smallest common multiple of 432 and m.
1728
Let f = -3217/15 - -217. What is the common denomin