and q?
42
Suppose -6*q = -18, 12*a - 5*q = 7*a - 1745. Calculate the common denominator of a/(-96) + 4 + -9 and -23/24.
48
Let m(x) = x**3 - 6*x**2 - 4*x - 6. Let o be m(7). What is the least common multiple of (-2)/(-10) - 246/o*-2 and 6?
66
Let a(b) = 5*b**2 + 44*b - 588. What is the lowest common multiple of 224 and a(10)?
2464
Let p be (-5 + -1)*(-2)/(-6). Let k be (p/(-2) - 3)*(-3 - -1). Calculate the common denominator of k - 2/(872/1692) and 10/7.
763
Let z = 35999/14 + -2572. Calculate the common denominator of 3/14*130/12 and z.
28
Let c = 153 + -147. What is the least common multiple of -1 + (123/c)/(2/4) and 5?
40
Let f be (((-77)/(-82))/11)/((-347)/(-2)). Let l = -948729/9105280 - f. Calculate the common denominator of -13/20 and l.
640
Suppose -59 - 13 = -2*v. What is the lowest common multiple of v and (2/3*21)/(111/888)?
1008
Let b(w) = -7*w - 10. What is the lowest common multiple of 18 and b(-16)?
306
Let f = 10 + -15. Let s(v) = -v**2 + 10*v + 7. What is the lowest common multiple of 2 + f - (1 - 14) and s(10)?
70
Let l(v) = -v**2 + 5*v + 7. Let f(s) = s**2 - 6*s - 133. Let z(k) = k**2 + 6*k - 12. Let b be z(3). Calculate the smallest common multiple of f(b) and l(5).
14
Suppose 0 = -85*h + 115*h + 2220. Let l(n) = 3*n**3 + n**2 + 4*n - 1. Let f be l(3). Let i = h + f. Calculate the least common multiple of i and 5.
135
Let a(o) = -728*o - 3182. Calculate the smallest common multiple of 9 and a(-7).
5742
Let h = 5943983/595 + -9990. What is the common denominator of 31/425 and h?
2975
Let y(d) = -1. Let i(z) = 8*z + 4. Let l(u) = i(u) + 3*y(u). Suppose -101*v + 477 = -48*v. Calculate the least common multiple of v and l(4).
99
Let l = 78 - 74. Suppose l*c + 164 = -520. Let b = -131 - c. Calculate the smallest common multiple of b and 14.
280
Suppose 0 = -7*g + 90 + 106. What is the smallest common multiple of g and 42?
84
Suppose 5*y - 2*z = 1859, 3*z + 407 + 712 = 3*y. What is the lowest common multiple of y and 126?
6678
Suppose -7*a + 20*a = 4667. Calculate the smallest common multiple of 1 and a.
359
Suppose 27 = 4*k - 5. Suppose 4*i - 4 = -24. Calculate the least common multiple of i*5/(-10)*4 and k.
40
Find the common denominator of ((-1130)/240)/(5 - 142/4) and 99/4.
732
Suppose -74472 = -124*d + 17*d. Calculate the least common multiple of d and 28.
4872
Find the common denominator of (-1 - (-18)/(-10))/(829712/520) and -44.
3989
What is the smallest common multiple of -13 + 8 - -3 - (-4 - 518) and 1040?
1040
Suppose -3*l = -0*l - 39. Let x = 21 - l. Suppose -12*a + 44*a = 256. What is the lowest common multiple of x and a?
8
What is the smallest common multiple of (13 - 4)*((-196)/(-63) - 3) - -62 and 189?
189
What is the common denominator of 115/6 and (-4)/(-384)*-1004 + 13?
24
Let s = -51769/10 + 5168. What is the common denominator of s and (-99)/(-495)*(-3)/((-18)/94)?
30
Let m = -1401362 - -3472575161/2478. What is the common denominator of -77/6 and m?
2478
Let g = -10173113/16825 - -15106/25. Let q = g - -2396029/5384. Let h = q - 438. Calculate the common denominator of h and 27/8.
8
Suppose n + 5*t - 175 - 176 = 0, 2*n - t - 702 = 0. What is the least common multiple of 182 and n?
4914
Find the common denominator of 10/639 and (34448/3408 - 9)*(-3)/(-8).
1278
Let d = 658393417/7407 - 88888. Let m = 748093/103698 + d. Let n = -48 - -823/18. What is the common denominator of n and m?
126
Suppose -3*g - 2*g - 45 = 0. What is the common denominator of (18/(-27))/(g/(-35)) and -1*5 + (-848)/(-480)?
270
Let h = -132719/18 - -7368. Find the common denominator of h and -101/945.
1890
Suppose 4*u - 2*q - 34 = 0, -17 + 1 = -u - 2*q. Suppose 308 = u*x + 18*x. What is the lowest common multiple of 125 and x?
1375
Calculate the least common multiple of 24622/130 - 3/(-5) and 95.
190
Let d = 264 - 226. What is the smallest common multiple of 0 + d + 132/(-22) and 24?
96
Suppose -4*l = -9*d + 8770, 62*d - l - 3904 = 58*d. What is the smallest common multiple of d and 978?
978
Suppose 32 + 778 = 6*t. Let c(u) = -u**3 + 32*u**2 - 58*u - 57. Calculate the lowest common multiple of t and c(30).
135
Find the common denominator of 97/770 and (-743)/(-1890) + 210/(-2835).
2310
Let d = 1812 - -8314. Let p = -344251/34 + d. What is the common denominator of 32/85 and p?
170
Suppose 0 = 3*d + 4*f + 36, -2*f + 6 = -2*d - 18. Let n(q) = -3*q**2 - q. Let w be n(-2). Let a = w - d. Calculate the smallest common multiple of 1 and a.
2
Let a(b) = -38*b + 13. Let o be a(-4). Let t be 30/o + (-24)/11. What is the common denominator of 0 + t + (-465)/480 and 37/7?
224
Suppose 4*h + 3881 = -z, -5*z - 28112 + 8653 = 2*h. Let s = z + 175127/45. Calculate the common denominator of -83/21 and s.
315
Suppose 0 = -2*r - 83 + 87. Calculate the common denominator of -85/44 and r + 302*(-3)/168.
308
Suppose -2*f + 4 = 0, -3*c + 4*f + 58 = -210. Calculate the lowest common multiple of (-18)/45*1*-30 and (-2)/(-6) + c/12.
24
Suppose -r = 4*u - 0*r - 29, -5*u = -4*r - 10. Let o(z) = z**2 + 3*z + 2. Suppose 6*w - 98 = 20*w. Calculate the smallest common multiple of o(w) and u.
30
Suppose 0 = 5*k - 13 - 2. Let z = -293 + 312. Let u = z - k. What is the smallest common multiple of u and 14?
112
Let y(h) = h**3 + 62*h**2 - 157*h - 1832. Let z = 16 - 4. What is the least common multiple of y(-64) and z?
24
What is the smallest common multiple of (6/13)/(275/42900) and 136?
1224
Suppose -9 + 24 = 3*k. Suppose 3*r = 5*r + m + 19065, k*r + 47662 = -2*m. Let d = 152425/16 + r. Calculate the common denominator of d and -87/44.
176
Let r = -109597/17 + 6449. Calculate the common denominator of r and 5460/(-6510) - (-2 + 1)*1.
527
What is the common denominator of -4 - 440/(-192) - (-10 + 3) and 41/144?
144
Suppose 0 = 213*r - 39427 - 49181. Calculate the least common multiple of r and 312.
1248
Suppose -w - 55 = q + 2*w, 0 = -3*w + 12. Let t = q - -67. Suppose 4*g - 3*h - 15 = 3*g, t = 4*h + 16. What is the lowest common multiple of 33 and g?
33
Let l = 4014 + -1354. Suppose l = -44*v + 49*v. What is the least common multiple of 4 and v?
532
Suppose 0 = -j - 4 + 3. Let p(y) = -1499*y - 11982. Calculate the least common multiple of j + (-2*5)/(-2) and p(-8).
20
Calculate the common denominator of 15/63*-3 + 1798/(-4872) and -43/1797.
7188
Let o(k) = k - 42. Let v be o(-10). Find the common denominator of -1/2 and 26/28 - (-13)/(v/(-16)).
14
Let x = 12032657693/1590114 - 6/265019. Let f = x - 3723343/492. Calculate the common denominator of -15/16 and f.
656
Suppose 4*q = -5*o + 72, -2*o + 66 = 3*o + 2*q. Suppose -13*f + 1 = -o*f. What is the smallest common multiple of f and 4 - (-12)/(2 - 6)?
1
Suppose 0 = 3*h + 2*h - 5. Suppose -3*o = n + 289, h = 2*n + 3. Calculate the common denominator of 11/14 and (-2)/(-3) + (-824)/o.
28
Let w be 2*1 + (207 - -5 - 7). Suppose 4*m + 240 + w = -5*d, -2*m - 87 = d. Calculate the common denominator of -38/17 and ((d - 2) + -3)*5/(-70).
119
Suppose 54 = -10*o - 36. Suppose 0*w + 5*x = 4*w - 70, 4*x + 52 = 3*w. What is the least common multiple of w and 24 - (1 - o - 4)?
180
Suppose -b + 64 = 2*g, 0 = -4*b + 4*g + 277 + 15. Let c be 92 + -102 - 1*33. Let a = b + c. Calculate the smallest common multiple of a and 18.
54
Let i = 961/6 - 153. Let x = 778846 - 8559648/11. Let q = x + -699. Find the common denominator of q and i.
66
Let w = 727428 + -1294821717/1780. Calculate the common denominator of -85/1068 and w.
5340
Let k = -4/10657 + 2699/35583723. Calculate the common denominator of k and -4/3339.
3339
Suppose -2*p - 2*p = 5*v + 55, p + 4*v = 0. Let q be p/(-16)*-2*8. What is the smallest common multiple of 2 and 88/14*(-70)/q?
22
Let p(i) = -i**3 - 30*i**2 + 28*i - 201. Let a be p(-31). Suppose 0 = -2*z + z + 17. Calculate the common denominator of (z/a*10)/((-4)/(-6)) and -11/8.
72
Suppose -293 = -4*p - 133. Suppose -41*a = -p*a - 2. Calculate the least common multiple of a and 10.
10
Let t = 869644/411285 - 2/11751. Let k = -837 - -1123. Calculate the common denominator of (k/(-660))/((-2)/(-18)) and t.
70
Let p = 1 + 0. Let l be p + (4 - (2 + -3)). What is the common denominator of 107/12 and ((-314)/(-150))/(l/15)?
60
Suppose 5*a - 5472 = -2*w + w, 3*a - 3*w = 3312. Calculate the smallest common multiple of a and 36.