and 1/2*n/(-46).
46
Let t = 45413 + -18664778/411. What is the common denominator of (-1962)/120*(-42)/(-63) and t?
4110
Suppose b = 97 - 19. What is the smallest common multiple of b and (-7)/(-42)*78 + 15 + -7?
546
Let o(z) = z**2 - 7*z + 7. Let y be o(7). Suppose y*s = -0*s. Let l = s - -6. What is the lowest common multiple of 3 and l?
6
Let o = 34 + -34. Suppose -p - 3*i + 59 = o, 4*i - 162 = p - 4*p. Calculate the common denominator of -58/7 and (6 - 8)*p/(-48).
84
Find the common denominator of 1/7 + 2652/546 + 4399/(-840) and -59/192.
6720
Let q = 286360233/1084 + -264170. What is the common denominator of q and 43/10?
5420
Calculate the common denominator of 12 + (-149825)/7176 + 9 and -11/30.
2760
What is the common denominator of (121733/(-113544) - -1) + 2/16 and 115/996?
2988
Let a(l) = 684*l - 103. Let u be a(-5). Let j = u - -28271/8. Let b = 10/163 + -1607/2282. What is the common denominator of b and j?
56
What is the common denominator of (-479)/(-30) - (-552)/460 and -5/48?
48
Let b = 49782 - 364951848/7331. Calculate the common denominator of b and -101/4.
29324
Let w = 11 - 96/7. Let o = 828 - 841. What is the common denominator of o/(12/((-192)/(-88))) and w?
77
Let v = -724509832 - -2745892285063/3790. Let t = 18/379 - v. What is the common denominator of 13/298 and t?
1490
Let i = 126 - 66. Let j(d) = 7*d + 193. What is the least common multiple of j(-19) and i?
60
Let o be (-210)/40 + (-10)/(-8). Find the common denominator of 319/154 - (-6)/o and (-4 - (-65)/20)*43/3.
28
Let y = -455034 - -122859017/270. Let c = -62/2485 + -341591/551670. Let z = 16/111 + c. Find the common denominator of y and z.
270
Let u = 89023/15 + -5933. Calculate the common denominator of -59/96 and u.
480
Suppose 0 = 88*h - 85*h - 105. What is the least common multiple of h and 35?
35
Let j = 89 - 79. Let x(i) = -2*i + 28. Let f be x(j). Find the common denominator of (35/6)/(f*33/108) and -65/4.
44
Let f(a) = -6*a - 2. Let u be f(-2). Suppose 4*s + 5*k = 16, 5*k = -5*s + u + 10. Calculate the smallest common multiple of s and 6642/378 + (-3)/(-7).
36
What is the common denominator of -6 - 5411/462 - -16 and -107/3366?
3366
Let q = 13243 + -70747/5. Let x = -72967/80 - q. Let b = -5137/8 - -643. What is the common denominator of b and x?
16
Find the common denominator of -38/1521 and 15799/(-1708)*(4/(-6) + 410/585).
1521
Let w be -2 + 1/((-2)/(-12)). Suppose 7*b - 2*b - 362 = -2*p, -w*b = -3*p - 285. Let m = 157 + -146. What is the lowest common multiple of m and b?
792
Suppose 0 = -4*i + 4, -9*w = -8*w - 2*i - 34. What is the least common multiple of 222 and w?
1332
Let v = -27669 + -1418. Let t = 1628801/56 + v. Calculate the common denominator of t and 119/40.
280
Let o = 6838 + -10232. Let k = o + 44159/13. Calculate the common denominator of -34/143 and k.
143
Let b = -56 - -57. Let f be (b - (-10499)/26)*18/(-54). Let v = f + 404/3. Calculate the common denominator of v and 47/5.
130
Let u(o) = 5*o**3 - 87*o**2 - 10*o + 754. Calculate the smallest common multiple of u(17) and (-148)/3*(-5 + 2).
444
Let w = 4010887/6616160 - -1/41351. Find the common denominator of 103/704 and w.
3520
Suppose 12*o - 228 = 9*o. Suppose -4 = 2*b + o. Let v = -39 - b. Calculate the smallest common multiple of 6 and v.
6
Let t = 10774 + -290857/27. Let k = 2087783978/9 + -66393617694020/286209. Let d = k + -6/2891. Calculate the common denominator of d and t.
297
Let q(d) be the second derivative of -5*d**3 - 5*d - 57/2*d**2 + 0 - 1/12*d**4. Calculate the lowest common multiple of 8 and q(-27).
24
Let z = -9176 - -73397/8. Find the common denominator of 1 + 1*(-42)/(-92) and z.
184
Let k = 42774 + -42714. Let w = -10 - -14. Calculate the lowest common multiple of w and k.
60
Let x(w) = w + 1. Let n be x(-1). Let q be (-10)/(-1)*(-158)/(-395). Suppose q*i = -i + 15, n = -5*v - i + 113. What is the least common multiple of v and 10?
110
Suppose 0 = j - 78 + 2 - 104. Calculate the least common multiple of j and 360.
360
Let q = 303 - 198. What is the common denominator of 0 + (53/(-10))/(-1) and 501/10 - (-42)/q?
10
Suppose p + 5*z = 185, 4*p - 4*z + 2*z = 674. Suppose 10*m - 7*m - 30 = 0. What is the least common multiple of p and m?
170
Let i be ((-124)/(-6828))/((-7)/(-42)). Let f = i - 43769/20484. Calculate the common denominator of 53/36 and f.
36
Let k(n) be the first derivative of -n**3/3 - 15*n**2/2 - 30*n - 15. Let q be k(-12). Let w = 2 + q. Calculate the lowest common multiple of w and 20.
40
Suppose 2*r = -2*t - 28, 3*r + 34 = t - 2*t. Let o = 3 + -5. What is the lowest common multiple of 41 and (4 + 9/o)*r?
205
Let a(c) = -133*c - 934. What is the smallest common multiple of a(-8) and 145?
3770
Let r = 203402/17 + -484505179/40494. What is the common denominator of r and -31/3573?
7146
Let s(w) be the first derivative of w**3/3 + 11*w**2 + 128*w - 36. What is the least common multiple of 22/(-8)*2*-2 and s(-8)?
176
Let r(n) = -321*n - 878. What is the least common multiple of 17 and r(-3)?
85
Let t(o) = -22*o - 140. Suppose 0 = j - 61 + 68. Calculate the least common multiple of 4 and t(j).
28
Suppose -3*l = 1044 + 3576. Let m = -98569/64 - l. Find the common denominator of -121/24 and m.
192
Let y(m) = 7*m - 9. Let i(t) = 14*t - 19. Let s(x) = 3*i(x) - 5*y(x). What is the smallest common multiple of s(2) and 11?
22
Suppose -s + 4*s = -372. Suppose -5*u + 4*v = -788, 2*u + 5*v - 330 - 5 = 0. Let p = u + s. What is the lowest common multiple of 6 and p?
36
Suppose 0 = 4*k - 4*c + 768, 64*c - 65*c - 936 = 5*k. Let o = 194 + k. Calculate the lowest common multiple of o and 36.
36
Suppose -7 = -k - 3*m, 2*m = 6*k - 2*k - 42. What is the lowest common multiple of k and 9*265*((-16)/(-30))/8?
1590
Calculate the common denominator of 49/381 and ((-77)/(-154))/(9/2*1).
1143
Let j(z) = z - 11. Let l be j(9). What is the lowest common multiple of 126 and 8 - (-4)/((8/4)/l)?
252
Let i(o) = 79*o**2 - 36*o - 159. Calculate the lowest common multiple of i(-4) and 9.
11241
Let m(w) = -w**2 - 8*w - 9. Let x be m(-6). Suppose -x*a + 6*a - 33 = 0. Let k = 19573 - 19565. Calculate the lowest common multiple of k and a.
88
Let x be (-3)/(-6) - (-11)/2. Suppose 2*c - x*c + s = -35, -s - 8 = -c. What is the smallest common multiple of c and 48/60*(-230)/322*(-21)/2?
18
Let x = 2994 - 422156/141. Let g = x - 1079/141. Let a = -34358 - -103063/3. Calculate the common denominator of a and g.
3
Let a = 181853/81 - 2245. Let d = -653/9072 + a. Find the common denominator of -49/80 and d.
560
Let a be 2 - ((-10514)/7 + 4/1). What is the least common multiple of ((-1)/(4/(-6)))/(50/a) and 72?
360
Suppose -8*z - 8*z - 11*z = -117720. Calculate the lowest common multiple of 12 and z.
13080
Let c = 33 + -39. Let d be 20/16*c*(-12)/9. Let f(h) = -5*h + 14. What is the common denominator of f(d) and -19/10?
10
Let m be (-1)/92*184/(-14927). Let a = 1358345/89562 + m. What is the common denominator of -43/9 and a?
18
Suppose -q + 8712 = 11*q + 10*q. What is the smallest common multiple of q and 396?
396
Suppose -2*n = -r - 69, 8*r - 3*r = 5*n - 165. Let w(a) = -a**3 + 9*a**2 + 21*a - 187. Calculate the least common multiple of w(5) and n.
36
Let u = -74 - 16. Calculate the common denominator of 2/(12/(-10)*u/(-639)) and ((-2)/(-8))/(1/((-192)/(-162))).
54
Suppose 12*b + 114 = 10818. Let r = -406 + b. What is the least common multiple of 18 and r?
486
Suppose 8*t - 126 = -6*t. Let y be ((-1 - t)/2)/(7/1246). What is the common denominator of 5/(y/72)*(-17)/51 and 15/4?
356
Let c = 26840 + -482977/18. Let j be 9/2*(-8)/12. What is the common denominator of c and (-1 - j) + 49/12?
36
Suppose 0 = -b + 2*b + 2, 2*b = -3*n + 23. Suppose 0 = -20*y - 4*y + 72. Suppose -53*u - y = -54*u. What is the smallest common multiple of n and u?
9
Let p = -280/9 - -2987/72. Find the common denominator of 11/4646 and p.
18584
Let s(n) = -n**3 + 3*n**2 + n + 9. Let z be s(-7). Let u = 8851/18 - z. Let t = -39/122 - -3271/3172. Find the common denominator of u and t.
468
Let w = 1557585/1672 + -10254/11. Calculate the common denominator of w and 69/104.
1976
Let w(k) = 2*k**2 + 5*k - 2. Let u be w(6). Let t = u + -60. Suppose 0 = 2*a + 2*a - t. Calculate the least common multiple of a and 14.
70
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