Let w = 386 + -378. Calculate the least common multiple of z and w.
40
Let a = -69979/20 + 3502. Let o = -446 + 4499/10. What is the common denominator of o and a?
20
Let l(g) = 12*g**3 - 4*g**2 + g + 2. Let h be l(2). Suppose -2*z + 3*z = -h. Calculate the common denominator of -149/18 and 497/z - (-6)/8.
18
Let u = 3099026291/15631566 + -22601/114. Let d = -22350457/4113570 - u. Calculate the common denominator of 23/24 and d.
120
Let u = 351557/64 + -5492. What is the common denominator of 55/34 and u?
1088
Let u = -430 + 911. Let c = u - 4799/10. Calculate the common denominator of -31/66 and c.
330
Let a be (36/(-14))/((-9)/168). Suppose 3*l - a = 12. Let z(c) = 11*c**2 - 1. Calculate the lowest common multiple of z(-1) and l.
20
Let o = -4 - -7. Suppose -2*m + o*m - 383 = 0. Let q = m + -1196/3. What is the common denominator of 13/7 and q?
21
Let h be 2*(25623/12813 - 2). Let q = h + 363071/76878. What is the common denominator of q and 1 + (-6)/56*78?
126
Let a(l) = 0 - 7*l + 6*l + 2. Calculate the lowest common multiple of a(-3) and 1.
5
Let m(a) = a. Let z(f) = 6*f. Let x(i) = 5*m(i) + z(i). Let n(k) = -5*k - 60. Calculate the least common multiple of x(2) and n(-14).
110
Suppose 0 = -g + 3*g - 10. Let d(u) be the first derivative of u**2 - 3*u - 126. What is the lowest common multiple of 6 and d(g)?
42
Calculate the common denominator of -59/6 and 8/3 + (-833)/(-98).
6
Calculate the smallest common multiple of 80 and 8138/169 - 6/39.
240
Find the common denominator of (63/21 - (-89)/(-16))*-2 and 188/36*(-3)/(-8).
24
Suppose -y + 4 - 1 = 0. Suppose -2*p - 6 = -y*p. Calculate the lowest common multiple of 6 and ((-16)/p)/((-12)/18).
12
Let l(s) = -25*s - 102. Find the common denominator of l(-5) and 3*(-417)/162*-3.
6
Let t = 8661 - 493616/57. Calculate the common denominator of -71/195 and t.
3705
Let p be 0/((-6)/2)*-1. Suppose -3*u + 3*y + 23 = -1, p = -2*u + 3*y + 21. What is the smallest common multiple of 9 and u?
9
What is the smallest common multiple of 6*(555/180 + 1/4) and 8?
40
Suppose 50*u = 46*u + 12. Suppose 40 = 5*f + u*i, 2*f + 3*f + i - 50 = 0. What is the smallest common multiple of f and 1?
11
Let x = -6545 + 150569/23. Find the common denominator of x and -56/11.
253
Suppose -229 = -4*r + 5*v, 0 = 33*r - 31*r - v - 113. Calculate the least common multiple of 161 and r.
1288
Let q = -64/31 - -49/279. Find the common denominator of -121/30 and q.
90
Suppose -3*s - 45 = 5*c + 2*s, 2*c - 5*s = -25. Let w(u) = u + 15. Calculate the smallest common multiple of w(c) and 2.
10
Let c(j) = -j**2 + 11*j - 4. Let u(t) = t + 9. Let d be u(0). Let i(b) = -5*b**3 + 5*b + 12. Calculate the lowest common multiple of i(-2) and c(d).
42
Suppose -a + 1349 = d - 1258, -3*d = 0. Let m = 26033/10 - a. Calculate the common denominator of (12/80)/((-72)/5340) and m.
40
Suppose 2*w + 7 = 23. Suppose 3*g = b + 67, -g = g - 3*b - 40. Suppose 4*j + 17 = 5*m, 2*j = -2*j - 3*m + g. What is the lowest common multiple of w and j?
8
Find the common denominator of 37/6 and (-255)/(-40)*14/(-21).
12
Let r = -1417 - -1429. Calculate the lowest common multiple of 8 and r.
24
Let m(w) = w**3 - w. Let g(o) = -3*o**3 + 5*o**2 + 3*o - 12. Let j(a) = g(a) + 2*m(a). Calculate the smallest common multiple of j(4) and 2.
8
Let l(x) = -6*x**3 - 6*x - 2*x**2 - x**3 + x - 3 + 8*x**3. Let k be l(4). Suppose -12*z + 15 = -k*z. Calculate the lowest common multiple of z and 6.
30
Let k be 10/(-80)*(-16651)/2. Let b = -2075/2 + k. Find the common denominator of -95/14 and b.
112
Suppose 0 = -5*a + 7*a - 22862. Let r = 137059/12 - a. Calculate the common denominator of r and -61/4.
12
Suppose -49*j - 672 = -61*j. Calculate the smallest common multiple of j and 42.
168
Let b(c) = c. Let a be b(-1). What is the common denominator of 89/8 and ((-4)/(-248))/(a/22)?
248
Let s = 13679/5 + -2747. Let j = -2976 - -17995/6. Calculate the common denominator of j and s.
30
Let d = 319/3150 + -13/50. Find the common denominator of 139/294 and d.
882
Let t = -27/2 - -465/34. Let x = 1609/34 + t. Find the common denominator of x and 39/4.
4
What is the common denominator of 79/118 and ((-49)/10)/((-42)/84)?
590
Suppose 11*m = 5*m - 372. Calculate the common denominator of 5/4*(-89)/(-5) and (-2)/(m/(-70) - 1).
4
Let c = -7600 + 159661/21. Find the common denominator of c and -10/21.
21
Suppose 0*g - 4*q + 10 = g, -4*g + 20 = -4*q. Suppose 62*f - 82*f + 220 = 0. What is the smallest common multiple of f and g?
66
Let u = 4441/18 - 247. Calculate the common denominator of u and -20/21.
126
Let b be (2 - 0)/(-2) + 0 + 4. Suppose 11*q - 28 = -b*q. What is the smallest common multiple of 14 and q?
14
Let y = 195 + -126. Let a = y + -37. What is the least common multiple of a and 20?
160
Suppose 3*r + 63 = 4*b, -4*b + r + r + 58 = 0. Suppose 11*x = b*x - 11. Calculate the lowest common multiple of x and 15.
165
Calculate the common denominator of 201/(-12)*8/36 and 19/14.
126
Let y(o) = o**3 - 3*o**2 - 3*o - 3. Let t be y(4). Suppose -3*j + 2*l - t = -2*l, -6 = 4*j - 3*l. What is the common denominator of -99/8 and 153/30*j/6?
40
Let t = 1337159/7784 + -451/278. Let u = t + -1248/7. Find the common denominator of 4/(112/2765)*(-1)/25 and u.
40
Let d = 2860 + -2840. What is the smallest common multiple of 910 and d?
1820
Let u = -3 + 7. Suppose 0 = -6*k + 5*k + u. Find the common denominator of 187/(-90) - k/18 and 25/7.
70
Let z = -14 - -14. Let a(f) = -f**3 - f**2 + 14. Calculate the smallest common multiple of a(z) and 12.
84
Let d = 71 + -39. Let x = d + -30. Calculate the least common multiple of x and 1.
2
Let c = 7 + -5. Suppose 4 = -c*k - 3*l - 5, 4*k + 3 = -l. Suppose 2*p + p - 6 = k. What is the least common multiple of 12 and p?
12
What is the common denominator of -48 and (-113)/3*69/3680?
160
Suppose -5*z = 2*s - 139, 4*s + 18 = 6. Let m = z + -22. Calculate the lowest common multiple of 51 and m.
357
Let f = 31 - 36. Calculate the smallest common multiple of 8 and (11 + f)/(6/8).
8
Suppose -v = -5 - 1. Suppose 3*u - 4*i = -0*i + 114, -2*u - 5*i = -76. What is the lowest common multiple of u and v?
114
Let i = 151855229/406 - 374028. Let q = i + -5/58. What is the common denominator of q and (-3)/2 - 0 - (-226)/16?
56
Suppose 5*t = -5*v + 4*v + 18, -t = 2*v - 18. Calculate the smallest common multiple of (-3)/((-175)/40 + 4) and v.
8
Let s be (-224)/77*(-6)/8. Let q = 1315/154 - s. What is the common denominator of q and 143/6?
42
Find the common denominator of (-483)/(-144) - 15/((-45)/(-4)) and -99/2.
48
Let c(s) = s + 12. What is the lowest common multiple of c(-7) and 369?
1845
Suppose -p + 4*u - 8 = -14, 4*p = -u + 41. Calculate the lowest common multiple of 384 and p.
1920
Let t be 115/(-10) - 1/2. Let c = 300/67 + 6517/804. Find the common denominator of t/(-42) - 342/(-224) and c.
48
Let w = 51 - -3. Let s = w + -26. Calculate the least common multiple of 22 and s.
308
Suppose x - 74 = -3. Suppose 0 = 94*n + 101 - 289. Calculate the least common multiple of n and x.
142
Suppose -2*t + 3*t - 2*o = 9, -4*t + 3*o = -36. Suppose 2*d + t*d - 22 = 0. Calculate the smallest common multiple of 18 and d.
18
Let m = -69836725/11384 - -3221/1423. Let l(n) = 6144*n**3 + 2*n**2 - 9*n + 7. Let k be l(1). Let p = k + m. Calculate the common denominator of 81/22 and p.
88
Let b = -17/28870 - 221627747/43305. Let m = 5096 + b. Calculate the common denominator of 83/10 and m.
30
Let d = -6461/12 - -531. Let z(h) = -h + 8. Let r be z(7). What is the common denominator of d and (-22)/(-40) - (3/5 - r)?
60
Suppose 0 = 4*w - 150 - 18. Calculate the smallest common multiple of w and 6.
42
Suppose 5*l - 5*u = 45, -4*l + 5*u - 20 + 53 = 0. Calculate the smallest common multiple of 168 and l.
168
Let y(r) = r - 9. Let q be y(9). Suppose q = 3*k + k - c + 9, 5*c - 30 = 5*k. Calculate the lowest common multiple of 18 and ((-12)/9)/(k/3).
36
Let g be 609 + -5 - (2*3 + -2). Find the common denominator of 89/24 and (-2735)/g - 6/(-10).
24
Let s(b) = 1. Let h(d) = -d + 15. Let t(o) = h(o) - 2*s(o). Let a be t(9). What is the common denominator of -49/10 and (-4)/a + 18/(-8)?
20
Let t be (-2 + (-420130)/(-72))*3. Let q = t - 17489. What is the common denominator of (-10)/12*102/(-16) and q?
48
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