/54. Calculate the common denominator of g and -45/8.
216
Suppose 2*v = -3*r + 257, -209 = -4*r + 4*v + 127. What is the least common multiple of r and 55?
935
Suppose 26*s - 24*s - 42 = 0. What is the smallest common multiple of s and 4?
84
Suppose 2*z + 48 = 6*z - 3*x, 4*x - 61 = -3*z. Calculate the smallest common multiple of z and 372.
1860
What is the smallest common multiple of (1 + 1)/((-101)/(-10302)) and 34?
204
Suppose 0 = 2*f - x + 3*x - 2, -3*x + 7 = 5*f. Let t be (6 - 7)/((-2)/(-4)). What is the least common multiple of 14 and (t*f)/12*-66?
154
Let j = -649/4410 + 8/45. Calculate the common denominator of j and 33/2.
98
Suppose -21*v - 226 = -562. Calculate the least common multiple of v and 18.
144
Suppose -46 = -2*h + j, 5*h - h + 3*j - 72 = 0. What is the smallest common multiple of 21 and h?
21
Suppose -6 = -o + 4*f + 16, -69 = -4*o - 3*f. What is the least common multiple of o and 195?
1170
Let c = -554 + 917. Suppose 16*b - c = 5*b. What is the least common multiple of 15 and b?
165
Let s(g) = g**3 + 5*g**2 - 6*g + 1. Suppose 0*b + b - 61 = -5*j, -4*j = -4*b + 172. Let k = -40 + b. What is the smallest common multiple of k and s(-6)?
6
Let w be 2/10 - (-371746)/(-180). Let p = -2066 - w. Calculate the common denominator of p and 103/6.
18
Let s(l) = -l**3 + 8*l**2 - 2*l + 12. Let q be s(8). Let a = -698167/147870 + -6/8215. What is the common denominator of a and (5/3)/(q + 8)?
36
Suppose -3*n - 15 = -2*b, 4*b + 76*n - 33 = 79*n. Calculate the least common multiple of b and 309.
927
Find the common denominator of 1 + -3 + (-1388)/(-552) and 29.
138
Suppose x - 5*n + 33 = -3*x, -2*x - n + 1 = 0. What is the smallest common multiple of 8/12*(-3)/x and 8?
8
Let i be -2 - (-347)/(-156) - -2. Let u = -30/13 - i. Find the common denominator of (-45)/48 + 2/4 and u.
48
Suppose -4*j + 3 = -j. Let f be (j - -2)*(-12)/(-18). Find the common denominator of (-2681)/(-294) - f/7 and 25/22.
66
Let u = 22 - 6. What is the lowest common multiple of 22 and (10/2)/((-60)/u + 4)?
220
Let w(v) = 13*v - 19. Let u be w(3). Calculate the common denominator of (u/402)/(6 + 316/(-54)) and 3/20.
1340
Calculate the common denominator of (-76)/(1 - (1 + 6)) and 73/50.
150
Suppose -49*b + 249 = 34*b - 0. Let q be (-66)/(-8) - 2/8. Let d = q + -2. What is the least common multiple of d and b?
6
Let q = 1/96 + -263/6816. Let z = 561/2272 + q. Calculate the common denominator of z and 103/12.
96
Let h(y) = y**3 - 14*y**2 - 15*y - 7. Let q be (-44)/(-3) + (-2)/(-6). Let a be h(q). Let f(l) = l + 9. What is the smallest common multiple of f(a) and 4?
4
Suppose 0 = -5*z + 5*c - c - 3551, 5*c = -2*z - 1427. Let q = -4253/6 - z. Let n = 8774 + -105229/12. What is the common denominator of q and n?
12
Suppose 0 = -m + 3*i, -2*i = -2*m - 5*i - 36. Find the common denominator of (-2)/4*32/m and -2/5.
15
Let p(b) = 19*b + 2. Let s be p(-3). What is the common denominator of -31/8 and 91/s - (-2)/10?
88
Let f(l) = -15*l - 173. What is the least common multiple of 10 and f(-19)?
560
Suppose 10 + 390 = 4*d + 5*b, 87 = d - 2*b. What is the least common multiple of 260 and d?
4940
Let d = -206929/27 - -7662. Let h = -14430 - -389561/27. Find the common denominator of d and h.
27
Let j(i) = -i**3 + 3*i**2 - i + 4. Let w be 1 + 0 - 1*-2. What is the smallest common multiple of j(w) and ((-340)/119)/((-4)/14)?
10
Suppose -36 = 5*y - 9*y. What is the lowest common multiple of 56 and y?
504
Suppose 44 = b - 40. Calculate the least common multiple of b and 15.
420
Suppose -3*i = 5*q - 23, q = 5*q - 5*i - 11. What is the lowest common multiple of q and 16?
16
Let v = 1235 + -7333/6. Suppose -178 = -0*k + k. Calculate the common denominator of v and ((-16)/96)/((-4)/k).
12
Suppose -5*q + 7*q = -20. Find the common denominator of -29/27 and 1/2 + q/135*-3.
54
Let x be 20/((-6*63)/(193/3)). Let l = x + 13/567. Find the common denominator of -47/6 and l.
42
What is the least common multiple of 28 and (1 + 8/6)/((-18)/(-162))?
84
Let w(m) = -m - 90. Let t be w(0). Calculate the common denominator of 47/10 and (-1083)/t - (-4)/(-48)*4.
10
Let b(h) = -2*h - 6. Let a be b(-4). Suppose -a*v + 4*v = -208. Calculate the common denominator of -89/6 and (-1011)/v + (-2)/(-13).
24
Let q be 8263/4*-2*(-7)/42. Suppose -4*h = 3*v - 2064, -3*v = -4*v - 5*h + 677. Let p = v - q. Calculate the common denominator of p and 11/18.
36
Suppose 860 = 6*u + 146. Suppose 120*o - 4 = u*o. Calculate the lowest common multiple of 4 and o.
4
Let v be 1046752/330 + 36/(-90). Let f = 3173 - v. What is the common denominator of 20/9 and f?
99
Let m = 50126/15 - 3345. Let l = 1977 + -13806/7. Calculate the common denominator of l and m.
105
What is the common denominator of ((-295)/(-300))/((-11)/(-22)) and -43/110?
330
Let x be (-1356)/(-1)*(-36)/(-15). Suppose 4*w + 2339 = -3*m - 7385, 3*w - 6 = 0. Let i = x + m. What is the common denominator of i and 48/5?
5
Let x = 11510831/12752 - 65233419533/29724912. Let c = 895/333 + x. Let d = c - -1291. Calculate the common denominator of 101/4 and d.
28
Let y = -3710 + 44635/12. What is the common denominator of y and 37/36?
36
Let t = 330 - 0. Suppose -4*h - t = -19*h. What is the smallest common multiple of h and 14?
154
Let n = 100 - -233. Calculate the smallest common multiple of n and 81.
2997
Let g(f) = -7*f - 3. Let p be g(-5). Let x = p + -28. What is the lowest common multiple of 18 and x?
36
Suppose 0 = -13*n + 8*n + 160. Suppose -40 - n = -2*b. Suppose -24 - b = -5*w. Calculate the least common multiple of 10 and w.
60
Let b = 1442885 + -296887. Let j = -11411551/10 + b. Let q = 4839 - j. What is the common denominator of 14/3 and q?
30
Let h(s) = s**3 - 7*s**2 + 4*s + 8. Let v be h(6). Calculate the least common multiple of 4 and v/(-16) + 30/8.
4
Suppose 5*f = -3*h + 122, -2*h + f + 2*f + 94 = 0. Suppose -3*c + h = -c. Calculate the lowest common multiple of 2 and c.
22
Let b(z) = -z**3 + 7*z**2 - 5*z + 14. What is the least common multiple of 36 and b(4)?
252
Let b be 12/(-5)*(-10)/3. Let o(r) = -r + 10. Let a be o(b). Suppose 0 = 4*q + 2*c - 50, q + a*c = 5*c + 2. Calculate the least common multiple of 7 and q.
77
Let o = -751/8 + 37981/408. Find the common denominator of -41/21 and o.
357
Suppose 2*p - 27 = -g + 19, -3*g + 114 = 5*p. Let b = 16 - -17. What is the least common multiple of p and b?
264
Let l = 4 - -28. Suppose l = 2*k + 2*k. What is the least common multiple of k and 11 - ((-4)/2 - -4)?
72
Suppose -3*w - v = -18, 4*w - 14*v + 19*v = 35. Suppose -q = 2*f - 3*q - 30, 0 = -f - 3*q - 1. Calculate the smallest common multiple of f and w.
55
Let h(w) = w + 7. Let g be h(5). Suppose -5*q + 188 = 2*s, 3*s - g = -0*s. Let n = -26 + q. What is the lowest common multiple of 11 and n?
110
Let s(k) = 43*k + 754. What is the lowest common multiple of s(-16) and 24?
264
Suppose -3*t - 3*b - 584 - 817 = 0, -2*b - 1403 = 3*t. What is the common denominator of 13/16 and (t/28)/((-14)/4)?
112
Suppose -10 + 2 = -5*z - 2*r, 0 = 3*r - 12. What is the common denominator of 11/4 and (-3 - (-9)/48) + z?
16
Suppose 2 = 2*s, -4*p + s = 2*s - 1. Let a = 6 - p. Calculate the least common multiple of a and (114/133)/((-4)/(-28)).
6
Let z = 175/22 - -96/55. Let x be (35/(-63))/(17/(-30)). Let f = x + -94/119. Find the common denominator of f and z.
210
Let y = -18/9029 - -72713/31944602. Let j = -171591/7076 - y. What is the common denominator of j and 65/16?
16
Let r(u) = -u**3 - 18*u**2 + 15*u + 62. Calculate the smallest common multiple of 39 and r(-19).
1794
Let y = 198659/30 + -6624. What is the common denominator of (226/(-10)*-1)/((-102)/85) and y?
30
Suppose -p = 20 - 28. What is the lowest common multiple of 6 and p?
24
Let o be 1*1/(1/23). Suppose n - p = -3, 4*n - 5*p + o = 7*n. Calculate the lowest common multiple of 9 and n/(0 - (-3)/21).
63
Calculate the least common multiple of 258 and (-3)/((42/420)/((-6)/10)).
774
Let v be -4 + 16/(-4) + 21. Let s = v - 5. Suppose 5*u - 28 = 2*o, -4*u + s = -4*o - 12. What is the lowest common multiple of u and 5?
30
Suppose 2*b + 8 - 24 = 0. Suppose o = -j - b, -4*o = -3*j - 0*j + 46. Calculate the smallest common multiple of 0/(2 + 1) - o and 1.
10
Let s be -4*((-1)/4)/1. Calculate the common denominator of -1