0. Let g = -681/13943 - 1465639521/139430. Let x = g + 10522. Find the common denominator of a and x.
40
Let g(v) = v**2 + v + 1. Let x be g(-2). Suppose -5 - x = -2*l. What is the smallest common multiple of 35/15*3*42/49 and l?
12
Let w = 32/711 - -10579/96696. Calculate the common denominator of 155/102 and w.
408
Let c = 89 + -90. Calculate the common denominator of 4 + c + 182/280 and 65/32.
160
Let a be 5/10 - (-18)/(-4). Calculate the smallest common multiple of 28/3 + a/(-6) and (-2)/(-18) - 2120/(-360).
30
What is the least common multiple of 12 and (159/(-53))/(2/(-24))?
36
Suppose 18*g = 15*g - 3. Suppose 0 = -3*z + m + 56, 55 = 3*z + 2*m + 5. Calculate the smallest common multiple of (g*(-28)/10)/(3/15) and z.
126
What is the smallest common multiple of 83 - (-5)/((-55)/(-143)) and 48?
96
Suppose 2*f + 628 - 1132 = 0. Calculate the smallest common multiple of f and 18.
252
Let z = 3/3109 + 40081/348208. What is the common denominator of 17/21 and z?
336
Let l(n) = -n**3 - 6*n**2 - 7*n - 20. Calculate the smallest common multiple of l(-7) and 15.
390
Suppose 9 = 5*t - t - 5*y, y = 3*t - 15. Suppose 4*j + t*f - 92 = 3*f, 3*j = 3*f + 48. What is the smallest common multiple of j and 8?
40
Let t = -36177/10 + 3612. Let q = -6224 - 1539. Let x = -170815/22 - q. What is the common denominator of t and x?
110
Let g(o) be the first derivative of -6 - 1/2*o**2 + o. Calculate the least common multiple of 14 and g(-9).
70
Let c = 122 - 8. Calculate the smallest common multiple of 114 and c.
114
Let t(k) = -5*k**2 + 120*k + 9. What is the smallest common multiple of t(24) and 54?
54
Suppose o = -4*o + 25. Suppose -v - 20 = -x - o*v, -2*x + 2*v = 0. Calculate the least common multiple of x and 3.
12
Let b be (0 + 428755/(-4))*5/(-75). Let g = 7141 - b. Find the common denominator of 71/36 and g.
36
Let c = -15 + 16. What is the least common multiple of c + ((-4)/(-3) - 2/6) and 9?
18
Suppose -11 = -25*h + 24*h. What is the lowest common multiple of 7 and h?
77
Let n = 10068 + -181325/18. Let p be -7 + 1 - (0 - 2). Calculate the common denominator of n and ((-3)/p)/((-5)/155).
36
Suppose 20 = -0*a + 5*a. Suppose -70 = -a*l - l. Let p = l + -7. Calculate the least common multiple of p and 3.
21
Let l(h) = -11*h + 135. Calculate the smallest common multiple of 32 and l(9).
288
Suppose -5*n = -3*z + 640, 3*n = 17 - 5. Calculate the smallest common multiple of 60 and z.
660
Suppose -5 = -n + 6. Suppose 0*c + n = c. Calculate the common denominator of 63/10 and (-164)/c*(-3)/(-12).
110
Suppose 0 = 2*p + 10*p. Let q = 8 + p. Suppose 2 = 5*t - 5*h - 43, 8 = -2*h. Calculate the lowest common multiple of q and t.
40
Suppose -9*p + 233 = -352. What is the least common multiple of p and 2?
130
Suppose -2*m + s + 20 = 5*s, 3*s - 19 = -2*m. Calculate the least common multiple of m and 284.
568
Let x be (36503/(-2) - -1)/(-18). Let u(l) = -9*l**2 - 10*l - 3. Let p be u(10). Let s = x + p. Find the common denominator of -13/24 and s.
24
Let o = 293 + -275. Calculate the least common multiple of o and 26.
234
Let f(r) be the second derivative of -r**4/6 - 17*r**3/6 - 5*r**2 + 4*r. Let i be f(-11). What is the least common multiple of (-2 - 1) + i/(-5) and 4?
20
Suppose -4*r = 4*j - 7*j + 24, -12 = 2*r + 3*j. Let m = 16 + r. Let c = -7 + 15. What is the lowest common multiple of c and m?
40
Suppose 13*z = 5*z + 32. Find the common denominator of (-107)/(-12)*8/z and 59/22.
66
Let f be -3*(164/(-6))/(-1). Let u = -62 - f. What is the lowest common multiple of u and 16?
80
Let c be ((-2)/321)/(288/(-157797)). Let r = c + 5/1712. What is the common denominator of 29/22 and r?
132
Let b(q) = -q**2 - 12*q - 23. Let s be b(-7). Suppose l - 23 = -s. Let o(x) = x - 1. What is the lowest common multiple of l and o(9)?
88
Let v(k) = k**2 - 8*k - 2. Let l be v(6). Let m = l - -23. Suppose -r + 14 = -t + 5*t, r + 2 = 0. What is the smallest common multiple of m and t?
36
Let p = 9 + -5. Let c = p + -5. What is the common denominator of (42/(-33) - c)*1 and -73/8?
88
Suppose -2*i + 5*c = -27, 4*c + 3 = -2*i - c. Suppose 0 = -3*x + 7*x + 12, 3*t - 5*x = 21. Suppose -t*k + 5 = 1. Calculate the least common multiple of k and i.
6
Let g = 31397/14 + -2239. Find the common denominator of g and 137/66.
462
Calculate the least common multiple of 748 and ((-64)/(-56))/(4/28).
1496
Let u = -7 + 5. Let s be u/(-9) + (-1398)/(-27). Let d = s + -36. What is the smallest common multiple of d and 14?
112
Let h = -3/253 - 4271/2530. What is the common denominator of h and 1/55?
110
Let i be 0 + 3 - 4/(32/(-1978)). Let d = i + -243. Find the common denominator of d and -1/6.
12
Suppose -7*g + 6*g = -10. Suppose 5*o = 60 + g. What is the smallest common multiple of 20 and o?
140
Let w = -16783 + 67721/4. Let n = w + -6427/44. Calculate the common denominator of n and -47/8.
88
Suppose 3*z - 20 = z. Suppose -z*o = -6*o - 36. Suppose -l + 5*l = 4*f, -4*l = -f - o. What is the smallest common multiple of 8 and l?
24
Suppose 0*x - 5*x = -15. Let r = x - -4. Calculate the smallest common multiple of (18/r)/(9/63) and 2.
18
Let u = -1574947/48 - -32813. Find the common denominator of u and 7/1 + 4199/988.
48
Let y = 330 + -788. Let x = -2249/5 - y. Calculate the common denominator of -29/9 and x.
45
Let n = 2175 + -2164. What is the least common multiple of 191 and n?
2101
Suppose -3*c - 1241635 = -5*d, 2*c - 1058360 + 65074 = -4*d. Let w = d - 1001353/4. Let s = 1997 + w. Find the common denominator of -55/12 and s.
12
Suppose 0*g + 284 = 4*g + 5*s, 2*s = 5*g - 322. Let h = -138 - -148. Calculate the least common multiple of h and g.
330
Let a be (-10)/(-4)*1970/3836. Let z = -1/548 - a. Let n = 2407/6 - 397. Calculate the common denominator of z and n.
42
Suppose 4*n - 9 = 23. Suppose -5*a - 3*u = -4*u + 18, 5*a = -2*u - 9. Calculate the least common multiple of n and ((-11)/a)/(2/6).
88
Let t(r) = 12*r + 123. What is the lowest common multiple of t(7) and 66?
4554
Let r = -9 - -15. Let p(s) = 3*s**2 - 4. What is the smallest common multiple of 4 and p(r)?
104
Suppose -3*m - m = -12. Suppose s - 20 - 10 = 5*h, -52 = -4*s + m*h. Calculate the smallest common multiple of 16 and s.
80
Let q be (-1060)/(-1470) - 1/(-3). Let m = -10261/3234 - q. Calculate the common denominator of m and -51/4.
44
What is the common denominator of ((-138)/2388)/(8/3) and -39/22?
35024
Let v(y) = -90880*y**3 - y**2 - 1. Let f be v(-2). Let r = -4413463/6 + f. Let z = r - -8565. Find the common denominator of z and -33.
6
Let a = 117247619/1013 + -115743. Let b = -139607/30390 + a. Calculate the common denominator of b and -59/12.
60
Let g = 34801/120 + -1464/5. Calculate the common denominator of 103/12 and g.
24
Suppose 0*g - 40 = -5*g. What is the common denominator of -31/18 and (-155)/(-39) + g/(-48)?
234
Let j(s) = -10 - 10*s**2 - 6*s + 7 - s**3 + 6*s + 7*s. Suppose 5*h - 3*h + 22 = 0. Calculate the common denominator of j(h) and -7/8.
8
Let q = 23247 + -1536277/66. Let n = -375/11 - q. Calculate the common denominator of 81/2 and n.
6
Let z = -155 + 163. Calculate the smallest common multiple of z and 40.
40
Let p = 1990 - 1865. What is the lowest common multiple of 9 and p?
1125
Let r = 837 - 1721/2. Calculate the common denominator of -46/5 and r.
10
Suppose -34*s + 28*s = -30. What is the lowest common multiple of s and 1?
5
Let a(z) = -z**2 + 10*z + 44. Let b(n) = n**2 - 11*n - 42. Let x(l) = -7*a(l) - 6*b(l). What is the smallest common multiple of x(-6) and 52?
52
Let b(h) = h**2 - 6*h + 19. Let n be b(6). Suppose 0 = -3*v, n = 5*p + 3*v - 36. What is the least common multiple of 4 and p?
44
Let l = -104835 - -11531759/110. Find the common denominator of l and -53/20.
220
Let j be (296/10)/(38/1425). Let r = -8865/8 + j. Find the common denominator of 16/7 and r.
56
Let y(t) = -t**3 - 3*t**2 - 4*t - 2. Let z be y(-3). Suppose -7*c + z*c = 0. Find the common denominator of 81/10 and c - (-3 - 21/(-4)).
20
Let g = -1863 + 2203. Calculate the smallest common multiple of 20 and g.
340
Let i = 12269/21140 + -24/151. Find the common denominator of 13/35 and i.
140
Let s(t) = t**2 + 12*t + 16. Let x be s(-11). Suppose 0 = -4*m + 3 + 5, -x*o + 5*m = 5. Calculate the smallest common multiple of 20 and o/(-2) - 