at is the least common multiple of 999 and b?
6993
Let k(c) = -23*c**2 + 20*c - 22. Let t be k(-10). Calculate the common denominator of t*1/372 + 6 and 56/3.
186
Let i(d) = -3*d**3 - 2*d**2 - 4*d - 3. Let j be i(-1). Calculate the common denominator of j/(-9) - (-7356)/3456 and -19/7.
224
Let y = -1453009519/605525 + 638/24221. Let j = y + 2401. Find the common denominator of 12/5 and j.
25
Let x = -3971 + 214403/54. Find the common denominator of x and (((-667)/1242)/29)/((-17)/(-799)).
54
Suppose 0 = 5*t + 5*k - 2*k - 2762, t - 557 = 4*k. Let f = -5541/10 + t. What is the common denominator of 77/12 and f?
60
What is the least common multiple of 165 and (-1*22)/((-63)/630)?
660
Suppose -l + 74 = 10. Let a = -4935 - -39567/8. Find the common denominator of (236/l)/((-3)/(-2)) and a.
24
Let g be ((-20)/16*-2)/(2/(-12)). Find the common denominator of (2079/(-140))/(g/2) and 36/5.
50
Suppose -5*y + 184 = -4*b + 16, -3*b - 126 = -y. Find the common denominator of (b/(-9))/(-7) + (-87)/45 and 79/15.
15
Suppose -4*q - 2*f = -14, -4*q + 17 = f - 0. Let v be ((-17)/q)/((-30)/(-46790)). Let t = -5297 - v. What is the common denominator of t and 58/15?
15
Calculate the least common multiple of 3/(-27) + (12 - (-426)/(-54)) and 538.
1076
Let l = -7407085212593/1274520 - -249901766/43. Let a = l + 3/2470. Calculate the common denominator of a and 113/40.
120
Suppose 5*a - 2*g + 6*g - 444 = 0, 0 = 3*a - 2*g - 262. Let x = 433 - 417. Let q = a - x. Calculate the least common multiple of q and 10.
360
Find the common denominator of 17/81 and (-7)/5*-1 - 262/60.
810
Suppose 42 = 3*m - 5*j, -2*m - 17*j + 27 = -20*j. What is the least common multiple of -1 - (-37 - 0 - -3) and m?
99
Let q = -12639 - -13784. Calculate the lowest common multiple of q and 5.
1145
Let f = 706034 - 1112709523/1576. What is the common denominator of f and 43/8?
1576
Suppose 4*o - 22*b = -24*b + 6026, 4*o - 6021 = 3*b. What is the lowest common multiple of 8 and o?
6024
Let f(i) = i**3 + 5*i**2 + 3*i - 1. Let g be f(-3). What is the common denominator of (g*-4)/(0 - (-7)/1) and (-11)/5 + 6/(-12)?
70
Suppose -531 = -r - 167. Let v = -356 + r. Suppose -u + 4 = -8. Calculate the lowest common multiple of u and v.
24
Let y(o) = -8*o - 84. Calculate the smallest common multiple of y(-12) and 28.
84
Suppose -5*y - 7*y + 5664 + 1920 = 0. What is the smallest common multiple of 2054 and y?
8216
Let q = -454/49 - -22279/2156. Calculate the common denominator of q and ((-206)/12 + 1)*(-4)/(2992/51).
88
Suppose -2*z - 114 = -3*z. Let n = 21065 - 21059. What is the least common multiple of z and n?
114
Let z = 2889639787943/7656 + -377434665. Let x = z - 5/957. Calculate the common denominator of (-165)/(-50) - 2/6 and x.
120
Let h = 1917/220 + -103/11. Let j be (144693/(-120) - 0)/((-3)/(-46)). Let q = 18493 + j. Calculate the common denominator of h and q.
20
Suppose 20 = 4*d + 3*s, d = -3*d + 5*s + 52. Calculate the least common multiple of (6 - d)*(-26 - -1) and (-44)/(-10) + (-400)/(-250).
150
Let u be -3*(80/(-20) - 68/33). Let l = 1061/88 - u. Find the common denominator of -79/8 and l.
8
Suppose w + 2*w = 261. Let h be 4 + 1/6 + (-44)/(-24). What is the smallest common multiple of w/h + 6/4 and 22?
176
Suppose 18*m + 3212 = 34*m + 57*m. Calculate the lowest common multiple of 550 and m.
1100
Let i = -610920847211/369075154224 - 9/75754342. Let x = 547912/3 - 111224354/609. Let r = i + x. Find the common denominator of -49/4 and r.
48
Let d = -3300 + 3642. What is the lowest common multiple of d and 12?
684
Let k(w) = -w**3 + 26*w**2 - 26*w + 30. Let z be k(24). Suppose 7*o = o + z. Calculate the least common multiple of o and 6.
186
Let s = -662/1743 + -8/83. Let n = -2101 - -18863/9. What is the common denominator of s and n?
63
Suppose 3*n = 40 - 28. Suppose n*y = 5*s - 76, 12 = 5*y - 8*y. Let m = 109 - 71. Calculate the least common multiple of m and s.
228
Find the common denominator of 121/6 and (4/(-6))/(32252/(-2871)).
4398
Let m = 7078 - 20456/3. Let v = 238 - m. Find the common denominator of v and 47/12.
12
Let h = 975/4 + -248. Find the common denominator of 1 + 3/((-783)/150) and h.
348
Suppose -379*c + 39988 = -416*c + 110288. What is the lowest common multiple of 836 and c?
20900
Let s(f) be the first derivative of -f**3/3 - 15*f**2/2 - 22*f - 92. Let u be -9 - (-2)/(-4)*-6. Calculate the lowest common multiple of s(u) and 10.
160
Suppose -3*v - 2*v - 10 = 0, 0 = b + 3*v + 2661. What is the common denominator of (-2)/8 + (b/252 - -4) and (1 - (3 + -2))*-1?
14
Let r = -1464 + 1040. Let i = r + 460. What is the smallest common multiple of i and 20?
180
Let u(p) = -p**3 - 12*p**2 + 9*p + 32. Let c be u(-6). Let v = 346 + c. What is the lowest common multiple of v and 27?
108
Suppose 11*v + 500 = 12*v. Let m be v/(-4 + 9)*-1. Let i = m - -122. What is the lowest common multiple of 18 and i?
198
Suppose 691*l = 703*l - 30492. Calculate the smallest common multiple of l and 231.
2541
Let n(j) be the second derivative of j**4/4 - 17*j**3/6 + 8*j**2 - 4*j. Let m be n(11). What is the common denominator of -25/27 and -3 - -2*644/m?
216
Suppose -33*l + 13*l = -2200. Let a = -46/153 + 2795/306. What is the common denominator of (-361)/l + ((-1156)/(-85) - 13) and a?
66
Let q(f) = 15*f + 15. Let u be q(-7). What is the common denominator of -29/27 and ((-8)/u)/((-234)/1495)?
81
Let c = -123097/2494230 + 1/17565. What is the common denominator of -5/84 and c?
5964
What is the common denominator of -44/2493 and (-8)/(-160)*(-2870)/9695?
24930
Let p = 4234 + -4180. What is the smallest common multiple of 1071 and p?
6426
Let g(v) = -3*v**2 - 41*v + 38. Calculate the least common multiple of g(-13) and 240.
960
Suppose 50 = 2*u + 3*u. Suppose -3*j = -0*j - 12. Suppose -j = b + 2*r, -4*b + 3*r + 45 = b. What is the lowest common multiple of u and b?
30
Let w(b) = -b**3 + 42*b**2 - 67*b + 1121. Suppose 0 = -9*i + 4*i + 25. Calculate the smallest common multiple of i and w(41).
55
Let w = 26750 - 21944. What is the lowest common multiple of w and 2670?
24030
Let r be -14 + (4 - -10) + -7. Let s(w) = -6*w - 57. Let p(b) = -b - 8. Let z(y) = 15*p(y) - 2*s(y). What is the lowest common multiple of z(r) and 9?
45
What is the common denominator of (5 - -2) + 70050/(-10080) and 145/336?
336
What is the smallest common multiple of 5*15/25 + 15 and 27?
54
Let n be -2*46/864 + 82/738. Let m = 91/216 - n. What is the common denominator of m and 37/136?
408
Let b = -425 - -525. Suppose b = -2*d + 12*d. Calculate the lowest common multiple of d and 442.
2210
Let n(y) = 11*y + 114. Let h be n(-6). What is the common denominator of 2211/(-180) + h/15 + -3 and 139/60?
60
Suppose -3*g - 5*v = -115, -v + 221 = -4*g + 9*g. Calculate the smallest common multiple of g and 198.
990
Let q be ((-26)/(-38))/(2/((-716702)/21)). Let m = 11676 + q. Calculate the common denominator of m and 127/18.
342
Let h be (-274)/18*(672/(-70))/(-16). Let o = h + 4567/390. Find the common denominator of 11/46 and o.
598
Suppose 4*u + 34*k - 39*k - 9820 = 0, 3*k - 4932 = -2*u. What is the lowest common multiple of 50 and u?
12300
What is the common denominator of (-12)/5*(-585)/6786 and -59/2?
58
What is the lowest common multiple of 3 - 5/((-65)/481) and 32?
160
Let g = -204071281/3263 - -62541. Let v = 120701/48945 + g. What is the common denominator of v and 73/18?
90
Let x be (-15)/(-2)*16/(-24). Find the common denominator of 70/165*-2*x/(-4) and 103/18.
198
Let i(a) = -a**2 - 12*a + 257. Let g(j) = -2*j + j + 2*j**2 - j**2 + 2*j. Calculate the least common multiple of i(-23) and g(3).
12
Suppose -5*p = -45 - 20. What is the common denominator of -71/22 and 38*p/96 + 6/9?
176
Let o(v) = -6*v - 47. Let f be o(-8). Let p be -6*f/(-10) + (-888)/(-20). Suppose p = 2*g + 41. Calculate the smallest common multiple of 2 and g.
2
Let k(i) = -2*i + 34. Suppose -5*m - 1 = -26. Suppose 0 = -0*w - 3*w - 2*s + 58, -m*w + 114 = -s. What is the lowest common multiple of w and k(8)?
198
Let y = -18284 + 18306. What is the smallest common multiple of y and 5468?
60148
Suppose 0 = -r + 4, 4*r + 13 = -w + 64. Calculate the least common multiple of w and 63.
315
Let a be 406/(-68) - 2/4. Let z = -15207861/34 + 447336. Let s = z + a. What is