06
Suppose 0 = -6*u + 1622 + 1834. Calculate the common denominator of 70*(-76)/u - 2/(-18) and -50/11.
88
Let j(c) = -c**3 - 4*c**2 - c - 3. Let l = 405559 - 405476. Calculate the least common multiple of j(-4) and l.
83
Find the common denominator of ((-368)/(-40))/((-80376)/425) and -47/33.
26004
Let o(w) = 3*w**2 + 58*w - 33. Let s be o(-20). What is the smallest common multiple of 18 and 2/42*-3 + 43/s?
18
Let a(c) = 46*c**2 + 1. Let s be a(2). Suppose -565 - s = -10*h. What is the smallest common multiple of h and 9?
225
Let o = 2711 - 593696/219. Let m = 68626/61413 + 7/1861. What is the common denominator of o and m?
2409
Let r(d) = 7*d**2 - d + 1. Let m be r(2). What is the common denominator of 0 - 165/(-10) - (-1)/(-4) and m/(-12)*56/132?
44
Calculate the lowest common multiple of 44 and -18 - -29 - (1 - 178).
2068
Let c = -1588 - -2302. Let m = c - 644. What is the smallest common multiple of m and 70?
70
Let u = 39931/24 + -1660. Find the common denominator of u and ((-2882)/352)/(9/(-6)).
24
Suppose -812 + 4067 = -5*r. Calculate the common denominator of (-4)/10 - r/(-385) and (126/49)/(-6) - 718/56.
44
Suppose 4*n + 3*l = 3781, -4*l + 2841 = -4*n + 7*n. What is the lowest common multiple of n and 253?
10373
Let o = 2/5123 + -210055/30738. What is the common denominator of -64/81 and o?
162
Let z = 253735/36 - 21152/3. Let t = 2/6167 - -770863/37002. Find the common denominator of z and t.
36
Let g(w) = -w**3 + 13*w**2 + 15. Let f be g(9). What is the common denominator of -3/17 and f/30 - (-3 + -4 + 6)?
170
Let q = 7/4999 + -205113/109978. Find the common denominator of 107/204 and q.
2244
Let n = -5711167/8 - -713886. Let p = 2/9065 - -444153/145040. Find the common denominator of n and p.
16
What is the common denominator of -13/320 and 6/(-45) + 826/1200?
1600
Let o be 2599697/(-224070) - 4/10. Let w = -209350/77 - -2719. Let n = o + w. Find the common denominator of 45/7 and n.
42
Suppose 5*z = 67*z - 5084. Let n = -514623/44 - -11694. What is the common denominator of n and 27/(-135)*z/(-8)?
220
Find the common denominator of -87/52 and (-6)/(36/(-7))*99/234.
156
Let x be ((-10)/(-4))/(5 - (-124)/(-24)). What is the lowest common multiple of 20 and (x/4)/(4/(-128)*6)?
20
Suppose d + 289 = a, 149*a - d = 152*a - 863. What is the lowest common multiple of 1008 and a?
2016
Let f(m) = -77*m + 3602. What is the smallest common multiple of f(46) and 72?
360
Let l be 9/6*8/37566*-3. Let v = l + 73051/6261. What is the common denominator of 65/(-6) - (2 - 1) and v?
6
Calculate the lowest common multiple of ((-14)/3)/(-14)*36 and (-291)/(-6) + (-2)/4.
48
Let w = 709351723/16692 - 552456/13. Calculate the common denominator of -19/3 and w.
1284
Let m = -25418207/297 + 85583. What is the common denominator of m and 61/33?
297
Suppose 4*j - 69 = 5*n - 393, 2 = -2*j. Let r = -34 + n. Calculate the lowest common multiple of r and 55.
330
Let j be (-2110221)/528 - (-12)/(-66). Let t = j + 4000. What is the common denominator of t and -29/20?
80
Suppose -466 = -31*o + 371. Let d = -3 + o. What is the lowest common multiple of 21 and d?
168
Let r = 120 - 69. Let n be (165/60 + -2)/((-3)/(-184)). Let w = r - n. What is the lowest common multiple of w and 7?
35
Suppose -3 = 14*f - 3. Suppose -4*y + 22*y - 1116 = f. Calculate the lowest common multiple of y and 12.
372
Let u = -7 - -10. Suppose -n - 4*f = 294, -2*n - 3*f = -0*n + 613. Let z = 315 + n. Calculate the smallest common multiple of u and z.
3
Let x(v) = v**2 - 18*v - 12. Let l = 1 + 14. Let y be x(l). What is the common denominator of -13/76 and 8/4 + y/(-6)?
76
Let n = 3/9038 - 2264/13557. Suppose -2*c - 2*c = 2108. Let a = 9461/18 + c. Find the common denominator of a and n.
18
Let r = 35028/5 - 257771032/36795. Let x = -787301/206052 - r. Calculate the common denominator of -9/28 and x.
28
Let q = 1998/1007 + 2292861/121847. Let g = 3202151/150645 - q. Let f = g - -1/83. What is the common denominator of f and 64/33?
165
Let l be 2 - 0 - 2050/26. Let s = -9227/104 - l. Find the common denominator of 948/(-270) + 4 + 72/(-20) and s.
72
Let q = 8 - 5. Suppose -4*u - 3*m - 117 = -4*m, 0 = -q*u - m - 93. Calculate the smallest common multiple of 14 and u/(-40) + 1*(-314)/(-8).
280
Suppose -4*w + 5*i + 110 = 3*i, -4*i = -2*w + 40. Suppose -22*r + 13*r + 46*r - 666 = 0. Calculate the smallest common multiple of w and r.
90
Suppose 5*c + 3203 - 3527 = -7*c. What is the lowest common multiple of 1107 and c?
1107
Suppose -17 = 7*r - 8*r. Suppose 11 + 34 = 5*i + u, -i + 5*u = r. What is the least common multiple of 16 and i?
16
Let u(c) = 2*c - 39*c**2 + 20 + 27*c**2 - c**3 + 100 - 4*c. What is the least common multiple of u(-11) and 6/((-2)/4 + 2)?
84
Let d = -261108/11 + 125072690/5269. Let l = 766/74245 - d. Find the common denominator of 43/3 and l.
465
Calculate the common denominator of -101/602 and 277/1505 - (-91)/(-455).
3010
Let l = -43 + 40. Let s be (2/2)/(l/(-27)). Calculate the least common multiple of s - (-2 + 1 - -1)/2 and 49.
441
Let i = 63 + -49. Suppose -i = -o - 21. Find the common denominator of 97/40 - (-28)/o and -25/12.
120
Let k = -18 + 64. Suppose -z - 3*t = -56, -z = 2*t - t - k. Let i = 57 - z. Calculate the smallest common multiple of i and 18.
144
Suppose -i - 3*v + 14 = 0, 3*i + 3*v - 75 = -57. Let b be (-4)/6*27/(-6). Suppose -i*p - 7 = b. Calculate the common denominator of 137/6 and p.
6
Let f = -173 - -246. Suppose -85 = -q - f. Calculate the least common multiple of q and (24/(-3))/(-4) - -25.
108
Let r be (-213202)/14 + 3 + 4/(-14). Let q = r - -1141873/75. Calculate the common denominator of -97/30 and q.
150
Let t(d) = 64*d - 8810. What is the smallest common multiple of 9910 and t(138)?
109010
Let s = 8956 - 8781. Calculate the least common multiple of s and 1750.
1750
Let p = -3702 - -148033/40. What is the common denominator of p and -23/9720?
9720
What is the common denominator of (-20015)/996 + 40/2 and -12/1577?
18924
Let c = 232 - 149. Suppose 686 = -2*i - 5*i + 721. What is the lowest common multiple of c and i?
415
Suppose -67*x + 554 = 152. Calculate the smallest common multiple of x and (-1 + (-30)/(-18))/((-1)/(-165)).
330
Let g = 282767/14 + -20206. Suppose y - 314 = 10*p - 14*p, -2*p + 4*y = -148. What is the common denominator of g and 18/32*p/(-9)?
56
Let h be 5*((-28)/(-5) + 24/(-6)). Calculate the common denominator of 20/h*3/135*3 and 71/114.
114
Let f(c) be the second derivative of -c**3/2 - c**2 + 387*c. Let q = -14 + 8. What is the smallest common multiple of 11 and f(q)?
176
Calculate the common denominator of -16/25 and (-14)/147 + 10 + (-1631672)/163905.
5575
Let k(j) = -534*j + 1644. What is the lowest common multiple of k(3) and 308?
924
Let z(m) = 280*m**2 + 1041*m - 2077. Calculate the smallest common multiple of 125 and z(2).
1125
Let j(x) = -1605*x. Let c(a) = -803*a. Let u(f) = -9*c(f) + 5*j(f). Let n be u(-1). Suppose -7*b + n - 182 = 0. What is the lowest common multiple of b and 4?
88
Let d = 127252 + -69378. Let z be (d/42 - 2/7) + -3. Let y = 1360 - z. Find the common denominator of y and 133/24.
24
Let j be -2*(3 + 1 + -6). Suppose -r + j*a - 104 = 33, 2*r + 326 = -5*a. Find the common denominator of (r/135)/(0 + 1) and 33/8.
120
What is the least common multiple of 192 and 604/(6 + 805/(-138))?
28992
Let u = -688 + 641. Let v(w) = 4*w**3 - 3*w**2 - 4*w + 2. Let z be v(3). Let y = u + z. What is the least common multiple of 3 and y?
24
Let a = 141 + -41. Let k = a + -77. Find the common denominator of -99/10 and (-3)/(100/(-8) + -4)*k.
110
Suppose 2*f + 2*m = -2*f, 5*m = f + 11. What is the least common multiple of 4 and ((-9)/f)/((-9)/(-26 + -1))?
108
Let w be (0 - (-6)/(-12))/(35/(-12947)). Let t = -898/5 + w. Calculate the common denominator of (-93)/(-8) + 1 + 0 and t.
56
Let r = 172 + -173. What is the smallest common multiple of r/(-5) - -218*5/50 and 28?
308
Let q(o) = -27*o**3 - 70*o**2 - 305*o + 10. What is the least common multiple of 2528 and q(-5)?
12640
Suppose -26*m - 2735 = -11618 - 13425. What is the lowest common multiple of 390 and m?
4290
Suppose -77*d = -74*d - 12. Suppose -3*w = -h - 0*h + d, -2*w + 88 = 5*h. Suppose -3*f = f - 40. Calculate the smallest common multiple of h and f.
80
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