999. What is the smallest common multiple of 32 and w?
15776
Suppose -28 + 10 = -3*o. Let k be 2*(-1)/o - (-136990)/(-60). Let r = -2233 - k. Find the common denominator of -97/40 and r.
40
Let f = 425353/7807995 - 3/19279. What is the common denominator of 79/90 and f?
810
Let j = -15245/6504 - -240/271. Calculate the common denominator of j and (-1)/9*226/(-16).
72
Let m(r) = -r**2 - 11*r - 24. Let s be m(-8). Suppose -4*j = -h - s*h + 13, -10 = -2*j. What is the lowest common multiple of h and 11?
33
Let q be (-10)/(-4)*(703/95 + -25). Let w(g) = 49*g**2 + 1. Let a be w(1). Let h = a + q. What is the smallest common multiple of 8 and h?
24
Let z(j) = -j**3 + 21*j**2 - 4. Suppose 2*x - 13 - 25 = s, -x = s - 25. Let c be z(x). What is the common denominator of 2/(-12)*37 - c and 49/20?
60
Let j be (-2 + 2)/(-2 + 1). Suppose 5*y + 14 - 34 = j. Suppose 0 = 91*b + 29*b + 223*b - 14749. Calculate the least common multiple of y and b.
172
Let w(j) = -j**2 + 114*j + 2506. What is the smallest common multiple of w(119) and 392?
15288
Let g = 838 + -598. Let p = 252 - g. What is the least common multiple of p and 48?
48
Let i = 570 + -578. Calculate the common denominator of 7 + i/48*15 and (-2)/21*(-558)/(-8).
14
Let j = 26 - -10. Let d = -165356 - -165358. What is the least common multiple of j and d?
36
Let d be 1*2 + (-5 - (-2464082505)/2478). Let m = -6960988/7 + d. Let w = -13/59 + m. Find the common denominator of -63/5 and w.
10
Calculate the lowest common multiple of ((-3)/2)/((20/(-360))/1) and 126.
378
Let f = -2/541 - -9209/3246. Let d = 5948958/311 - 14601607853/763816. Let a = 15/307 + d. Find the common denominator of a and f.
24
Let y be 0/1*4/(-12). Suppose -5*m - r + 32 = -0*r, -2*m + 4*r + 26 = y. Let f(s) = 5*s - 15. Calculate the smallest common multiple of f(m) and 22.
220
Let z = -50105/12 + 4173. Let v be (0 - 3) + 3/((-36747)/(-36741)). Let j = v + -216379/40830. Calculate the common denominator of j and z.
60
Suppose 2*w + 14 = 3*k - 47, -5*k - 4*w = -109. Suppose 3*p = 3*z - 9, 0 = 4*z - 12 + 4. Let f = p + 31. Calculate the lowest common multiple of f and k.
210
Suppose 2*q + 1470 - 1610 = 0. Let p(w) = 20*w + 18. What is the smallest common multiple of q and p(4)?
490
Let s = 179 + -191. Find the common denominator of 75/252 - s/42 and -131/6.
12
Suppose 3*l - t = 27, -112*l = -108*l - 3*t - 26. What is the smallest common multiple of l and 16684?
183524
Calculate the common denominator of 44/477 and ((4/3)/2)/(-1272*8/(-5688)).
1908
Find the common denominator of 16*75/173280*((-102)/(-5))/(-2) and ((-6)/100)/((-4)/(-90)).
7220
Let s = -117189/17654 - 6/1261. Let n = -47066 + 234122/5. Let u = 2021/10 + n. What is the common denominator of s and u?
14
Find the common denominator of -2*50/(-112) - (-37)/(-148) and -25/18.
126
Let y = -244 + 20. Calculate the common denominator of ((-64)/y)/(20/707) and -41/368.
1840
Let k be 8/(-10)*25/2. Let p be ((-5)/k)/((-3)/72). Calculate the least common multiple of (6/(-4))/(9/p) and 29.
58
Let x = -330857968/15 - -22044301. Let r = 12903 + x. Find the common denominator of r and -101/30.
30
Let x = -3509 + 3747. What is the lowest common multiple of x and 850?
5950
Let u = 64 - 26. Suppose -f = -4*d + 62, -2*d - 3*d + 3*f + 74 = 0. Calculate the common denominator of u and (2/(d/(-74)))/((-5)/(-4)).
5
Let z(q) = q**3 + 19*q**2 - 94*q - 54. Calculate the least common multiple of 18 and z(-22).
5058
Suppose -4*z - 14 = -x + 2*x, 2*z + 16 = x. Calculate the lowest common multiple of -2*(x + (-306)/12) and 24.
312
Let x be (-188)/(-5) - 32/(-80). Suppose -14 = 40*l - x*l. What is the least common multiple of 10 and ((-6)/l)/(10/490)?
210
What is the common denominator of 10 + 3/(-720)*2247 and 93/10?
80
Let m = -15797 + 16103. What is the smallest common multiple of 102 and m?
306
Let q = 80350 - 8838617/110. Let c = 3236851/291610 - -2/29161. Calculate the common denominator of c and q.
110
Let n be 13/(-4) - (18/24 + -1). Let v be 11100/(-2912) + n/7. Let k = v + -85/52. What is the common denominator of 19/11 and k?
88
Let u = -128807 + 206606363/1604. Find the common denominator of u and -73/20.
8020
Suppose -5*g = -2 - 8. Suppose 7 = g*a + 3*i, 4*i + 0 = 4. Calculate the common denominator of 545/30 + 1/(2/a) and 31/5.
30
Let r be (-11)/1 + (16 - 13). Let i = 1360811/668061 + 2/24743. Find the common denominator of r/6*3/15 and i.
135
Suppose 4*k = -4, -4*k + 1 = -2*g - 7. Calculate the least common multiple of (-451)/(-22) + -12 + g/(-4) and 6.
30
Let s = -1720753390204543/96592826 + 5308722765/298. Let f = s + 1/4103. Let b = f - 5637/790. Calculate the common denominator of b and -63/8.
40
Let j(u) = -464*u - 8348. What is the least common multiple of j(-18) and 3096?
3096
Let i(f) = f**2 + 19*f - 238. Let j(t) = t**3 + 14*t**2 + 12*t - 6. What is the lowest common multiple of j(-13) and i(9)?
14
Suppose -3*b + 41 = -r - 97, 2*b + 308 = -2*r. Let j = 166 + r. What is the smallest common multiple of j and 16?
16
Let n = -3/290 - 20/29. Let m = 398/79 + -24953/3871. Let i = m + -571/882. Calculate the common denominator of i and n.
90
Suppose 3*x - 9 = 5*t, -14*x + 9*x - 2*t + 46 = 0. Let o(b) = 13*b**2 + 3*b - 2. What is the least common multiple of x and o(2)?
56
Let i = 272 + -248. Calculate the common denominator of -25/12 and (-418)/i - (-72)/(-216).
12
Suppose 3*w - 7 = -46. Suppose 32 = 5*g + 5*a + 17, -17 = g + 5*a. What is the lowest common multiple of 0 + 6/(-3) - w and g?
88
Suppose 5*z - 34 = -3*t + 30, -2*z = -3*t + 50. Calculate the smallest common multiple of 330 and t.
990
Suppose 5*o = 5*g + 5, -2*o - 4*g = -33 + 25. Let t(f) = 3*f**2 + 5*f - 14. What is the smallest common multiple of 8 and t(o)?
8
What is the common denominator of (-1360)/4704*(-15)/25 and 16/147?
294
Let l be 12/(-2) - (4 - 13). Calculate the common denominator of (-12425)/420*l/(-20)*2 and 61/88.
88
Suppose 3*u = -g, -2*u = -g - 28 + 43. Let n = 2 - -8. What is the smallest common multiple of n and g?
90
Let a = -2 - -8. Let u(c) = -34 - 2*c**2 - 6 - 4 + c**2 - 18*c. What is the least common multiple of u(-14) and a?
12
Let g = 809656 + -1496244215/1848. Find the common denominator of g and -97/44.
1848
Let o(j) = -44*j + 32. Let u be (-20)/(-8) - (-50)/(-20). Calculate the least common multiple of o(u) and 8.
32
Let c = -4 + 12. Let x(v) = 11*v + 11. Let w be x(-6). Let y = w - -61. Calculate the least common multiple of c and y.
24
Let i = -11875 - -914381/77. Calculate the common denominator of i and 111/506.
3542
Suppose -41*x - 12*x = 121476. What is the common denominator of (-198)/16 + 0 + 1 and 4/(-2*6) - x/4176?
232
Suppose -4 = 4*z, -4*m + z + 0*z = -4617. Suppose 12*p - 190 - m = 0. Calculate the least common multiple of 20 and p.
560
Let u(i) = i**3 - 7*i**2 + 7*i - 6. Let g be u(6). Calculate the lowest common multiple of 8 and (-2 - (g - -3)) + 53/1.
48
Suppose -2*v = v - 3. Suppose -7*w + 97 = -v. Calculate the common denominator of ((-3)/w)/((-40)/28) and 3/4.
20
Find the common denominator of 2771/(-4320) - 148/(-185) and 49/12.
864
Let k(n) = n**2 - 5*n - 85. Let y be k(12). Calculate the common denominator of -11/18 and (-56)/196 - ((-123)/(-231) + y).
198
Let s be (-15)/(-3) + (-630566)/(-60). Let n = s - 10509. What is the common denominator of 16/9 and n?
90
Let o = -140/2141 - 233185/526686. What is the common denominator of o and -29/14?
1722
Let w = 16535 - 16537. Let v be 1 - 0 - 7 - 3. Find the common denominator of 22/12*v/(-6) and w.
4
Calculate the common denominator of 1361/5916 + -12 + 206/17 and 139/522.
1044
Suppose -28 + 16 = -6*w. Suppose -5*v + w*q + 340 = 0, -5*q + 123 = 4*v - 182. Calculate the least common multiple of v and 56.
280
Let q(m) = 3*m + 9*m - 12*m + 17*m - 23 + 8*m. Let r = 48 + -33. Calculate the lowest common multiple of r and q(2).
135
Let k = 3 - 30. Let s = -20429/5 + 24491/6. Find the common denominator of k and s.
30
Suppose x = 192*x + 1495 - 29190. What is the least common multiple of 70 and x?
2030
Let h = -3779675/172 - -21975. Find the common denominator of h and -151/6.
516
Let h = 5/592 + 76/37. Find the common denominator of -175/1122 and h.
8976
Let k = -63 - -73. Suppose -5*q - u = -870, -29*q + 34*q = 3*u + 870. What 