f ((-10)/80*-12)/((-18)/85) and 19/30 + (-2)/(-3)?
60
Suppose 2*w + 80 - 324 = -4*q, -q - 4 = 0. Calculate the lowest common multiple of w and 663.
6630
Suppose 2*s - 3 = -1. Let b(d) = -13*d - 23. Let t be b(16). Find the common denominator of 31/7 and ((-42)/t)/(s/(-25)).
77
Let s = -3773 - -3797. What is the lowest common multiple of s and 54?
216
Let v = 5 - 7. What is the lowest common multiple of 392 and 11/33 + v/(-3) - -9?
1960
Calculate the least common multiple of 16 and 97 + -1 + 3 - (175 + -172).
96
Let l = 9 - 6. Suppose -l*m - 490 = -2*k, m - 958 = -4*k - 4*m. What is the smallest common multiple of 22 and k?
242
Suppose -62*c = -48*c - 210. Suppose 50 = p - 2*f, -5*p + 190 = 5*f + c. Calculate the smallest common multiple of 44 and p.
440
Let y(u) = 3*u**2 + 17*u + 9. Let h be y(-6). What is the common denominator of 376/88*((-9)/h)/(-3) and -8/55?
55
Suppose 6*u - 460 - 740 = 0. Calculate the least common multiple of (2*5)/((-6)/(-21)) and u.
1400
Let b = -251 - -247. Let s(n) = -20*n - 77. What is the lowest common multiple of s(b) and 17?
51
Suppose -r - 906 = -4*u, -u + 3*r + 139 = -71. What is the smallest common multiple of u and 5396?
16188
Suppose -5*z + 31 = r + 13, r + 2 = 0. Let q = 8 - -3. What is the lowest common multiple of q and z?
44
Suppose -5*l + 32 = -x + 3*x, 3*l = 4*x + 40. Let t(u) = u**3 + 15*u**2 + 3*u + 124. Calculate the smallest common multiple of l and t(-14).
1112
Suppose 42*f + 3006 = 9684. Calculate the least common multiple of 583 and f.
1749
Let p = 328325/2935988 - 8/41547. What is the common denominator of -173/60 and p?
3180
Suppose -49*n + 52*n - 75 = 0. Suppose 0 = -7*g - 60 + n. What is the common denominator of -3 + 0/g + (-354)/(-40) and -24?
20
Let k = 3699 + -3621. Calculate the least common multiple of k and 426.
5538
Let j = 128 + -200. Let i = j - -105. Suppose -10*d + 85 = -7*d + s, 3*d = 2*s + 100. Calculate the smallest common multiple of d and i.
330
Let m(u) = -31*u - 84. Let p be m(-4). Calculate the common denominator of (1 - p/2)/(-10 - -4) and 2/3*705/200.
60
Suppose -6*c = -7*c + 2. Suppose c*s - 71 = 39. Calculate the least common multiple of s and 50.
550
Suppose 0 = -2*w - 4*c + 152, -2*w = -3*c - 139 - 41. Let g = 6519/364 + -60/91. Calculate the common denominator of g and -2 + (-4)/w*7/(-2).
12
Suppose -4*q - 5*v = -8, -3*q + 5 = -233*v + 237*v. Find the common denominator of q and -43/233.
233
Let y(m) = -m + 12. Suppose 0*b - 7 = 2*f + 5*b, -3*f - 4*b = 0. Let d(r) = -r**3 - 9*r**2 - 9*r + 6. Calculate the smallest common multiple of y(f) and d(-8).
56
Let g = 54 - 11. Let h(i) = -i**3 + 4*i**2 + 8*i - 24. Let z be h(4). Suppose 44*f - g*f = z. What is the smallest common multiple of f and 5?
40
Suppose 2*g = -2*k - 12, -g + 2*k = 4*g + 2. Let x be g*(0 - -4)/((-2)/67). Calculate the common denominator of -3 - -1 - 60*(-12)/x and 61/8.
536
Calculate the least common multiple of 216 and (63/(-36))/(-7)*-162*88/(-3).
2376
Let f = 32370 - -64384. Let a = f + -29316416/303. What is the common denominator of a and 89/30?
3030
Suppose -3*b + 79 = -r, 5*b - r = 89 + 44. Find the common denominator of (-9)/b + 106/66 and 1371/(-90) - 15/25.
66
Let v = -426 + 446. Suppose v*n - 100 = -5*n. Calculate the smallest common multiple of n and 76.
76
Suppose -32167 = -4*h + 4193. Suppose 956 - h = -7*j. Let u = 32489/28 - j. Find the common denominator of -133/6 and u.
84
Let q = 4862045/12533 - -3208793599/41509296. Let a = -10710/23 + q. Calculate the common denominator of (23/(-20))/(6/45*6) and a.
144
Calculate the common denominator of (6 - (-266)/(-70))*(-30)/(-104) and 40/949.
3796
Find the common denominator of 77/30 and (28/152*((-266)/(-49) - 5))/(-3).
570
Let s = -42 + 52. Suppose -31 = -v - 3*d, -4*v + 18 + 56 = 2*d. Calculate the lowest common multiple of v and (-13)/((-2)/s*(-15)/(-6)).
208
What is the common denominator of 167/(-12) - (-1)/(-4) and (-545)/(-1500)*-9*(175/(-45))/7?
60
Let m be (1/15 + 0)*(-5186405)/27384. Let k = m - -2/1467. What is the common denominator of 77/648 and k?
648
What is the least common multiple of 1900 and ((-46692)/(-6485))/((-2)/2850*-2)?
51300
Suppose -7 = -2*n - 1. Suppose -5 = -s + m - n, -3*s + 2*m = -9. Let x = s + 11. What is the lowest common multiple of 18 and x?
144
Suppose -1000 = -20*v + 1400. Let a = 127 + -109. Calculate the smallest common multiple of a and v.
360
Let k(m) = -m**3 + 8*m**2 - 3*m - 4. Let x(f) = f + 25. Suppose 8*q - 38 = 6*q. What is the smallest common multiple of k(3) and x(q)?
352
Let f = -1333385407/924 - -1443058. Calculate the common denominator of f and -9/4.
924
Let p(d) be the third derivative of -d**6/120 - d**5/60 - d**4/12 + 5*d**2. Suppose 75*m - 145 - 1888 = 1492. What is the lowest common multiple of p(-2) and m?
376
Suppose 2*x - 8 = -x - 2*f, 3*x + f - 10 = 0. Suppose -260 = 1103*k - 1129*k. Calculate the smallest common multiple of 81/x + (-3)/12 and k.
20
Let u be 4 - 0 - (-2 - -3). Let r be 1 - (21 + u) - 2. Let v = r + 41. Calculate the least common multiple of 10 and v.
80
Suppose -1518*i + 39600 = -1493*i. What is the least common multiple of 24 and i?
1584
Let o = -14544 + 25459. Let m = o - 152911/14. Find the common denominator of -55/32 and m.
224
Suppose 163*c = 153*c - 3210. Calculate the common denominator of 99/10 and c/200*(-4)/90*-3.
500
Let p(f) = -f**3 - 64*f**2 - 186*f - 105. What is the lowest common multiple of 20 and p(-61)?
780
Let s = 3905 + -3837. Calculate the lowest common multiple of 48 and s.
816
Let l = 48525 + -580057/12. Let n = -182 + l. Find the common denominator of 79/120 and n.
120
What is the smallest common multiple of ((0 - -1) + (-72)/99)/((-12)/(-132)) and 156?
156
Let l be (-84369)/(-9)*1*18/(-102372). Let t = 15/898 + l. Find the common denominator of t and 23/38.
38
Let a = 163/11782451246 + -6972695600537515/1174380480591312. Let h = a + -2/12459. What is the common denominator of h and -37/292?
1168
Suppose 27*x - 65 = 97. Suppose x - 10 = -d. Calculate the least common multiple of d and 52.
52
Suppose -55*l + 760 = -450. Let g(z) = 31*z**3 - 2*z + 1. Let n be g(1). Let t = n - l. What is the lowest common multiple of 20 and t?
40
Suppose -2*q - 104 = -3*u - 3*q, 0 = -2*u + 4*q + 74. Let m(f) = 5*f**3 - 250*f**2 - 193*f + 9705. What is the least common multiple of u and m(50)?
385
Suppose -17*t = 5*p - 15*t - 585, 3*t = -3*p + 351. Let q = p + -78. What is the lowest common multiple of q and 33?
429
Let u = 1426 + -1384. Suppose 9*g - 24 = 6*g. Calculate the lowest common multiple of g and u.
168
Suppose y + 5*p = 54 - 63, -3*p = 15. What is the smallest common multiple of 1040 and y?
1040
Let r = -2861 - -2881. What is the lowest common multiple of r and 228?
1140
Let r be -30*((-7)/5 - -3). Find the common denominator of 3 + -5 + (-428)/r and 42/(-96)*-66*((-184)/(-48) - 4).
48
Let f = -333 - -339. Find the common denominator of -151/30 and (-5)/(135/93)*f/118.
1770
Let i be 4*((-45)/(-12) + 1*-4). Find the common denominator of 94*(-5)/40*i/(-9) and -61/28.
252
Let l(g) = 2*g**2 - 1 - 20*g - 2 - 6 - g. Let a be l(11). Suppose a - 8 = -t. What is the least common multiple of 8 and t?
24
Let r(n) = 2*n**3 - 43*n**2 + 92*n - 7. What is the lowest common multiple of r(2) and 69?
483
Let j = 98/1247 + -65093/495059. Let f = 491/13 + -4981/104. Calculate the common denominator of f and j.
3176
Let s = 36142 - 2168627/60. What is the common denominator of 4/10*280/(-256) and s?
240
Let g be (-1)/(-3)*-3 - (1 + (-3257)/(-3)). Suppose -3204 = 2*p + p. Let h = g - p. Calculate the common denominator of -2/33 and h.
33
Let l = 7729/9282 - -1/1547. Find the common denominator of l and -97/2698.
8094
Suppose 16*b - 10*b - 1104 = 0. Let q = b - 514/3. What is the common denominator of -87/8 and q?
24
Let d(p) = p**3 - 6*p**2 - 33*p + 22. Calculate the lowest common multiple of 21 and d(11).
1848
What is the common denominator of 38/3933*(2475/(-63))/11 and -113/70?
14490
Suppose 0*c + 2*u = -3*c - 25401, -4*c - 33872 = 4*u. Let f = c - -84529/10. Find the common denominator of f and 11/364.
1820
Let m(r) = -r**2 + 18*r - 14. Let p be m(16). Let s be (-184)/(-3) - 24/p. Suppose 4*z - z = s. What is the least common multiple of z and 22?
220
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