Calculate the common denominator of 67/22 and s/(-210) + 3/9.
154
Let s = 2053/52 + -276/13. Let c = -1424513/1353 + -14789/123. Let d = -1172 - c. What is the common denominator of d and s?
44
Suppose 0 = 3*q - 33 - 0. Let x be 15/3 + 0 + 1. Suppose 13 = 2*a + 3*g, -2*a + 0*a = -4*g - x. Calculate the least common multiple of q and a.
55
Let s(f) = 13*f - 2. Let p be s(1). Let l(t) = -3*t**2 + 2. Let d be l(2). Let k = d + p. Calculate the smallest common multiple of 2 and k.
2
Let n(h) = -3*h + 6. Suppose 3*l - 4*z - 3 = 0, 0*l + 5*l - 2*z - 5 = 0. What is the least common multiple of n(0) and l?
6
Suppose 3*p = -2*p. Let v be 1 + p - 3714/1566. Let w = v - -14/29. Find the common denominator of w and -17/2.
18
Let l = -14 - -17. Let c = -2 + l. Find the common denominator of -11/6 and -1*(190/(-4) - c).
6
Let f(l) = -9 - 3 + 7*l**2 - 9 - 5*l**2. Calculate the smallest common multiple of 9 and f(5).
261
Suppose 0 = -4*s - 509 + 557. What is the lowest common multiple of 288 and s?
288
Let q = 47945/23 - 2084. Find the common denominator of q and -56/3.
69
Let t = -21 - -25. Let y = 12 - t. Calculate the smallest common multiple of y and 3.
24
Let f = 42 - 43. Calculate the smallest common multiple of 11/(-22)*(f - 9) and 6.
30
Let b = 59 + -55. Find the common denominator of ((-81)/(-30))/(12/(-70)) and b - (604/40 - 2).
20
Let v = -10 - -3. Let m be (-7)/19*(-6)/v. Let a = m - -332/209. Find the common denominator of -35/4 and a.
44
Let w(t) = 2*t - 34. What is the least common multiple of 214 and w(24)?
1498
Let d = 211/450 - 11/225. Calculate the common denominator of -52/25 and d.
50
Suppose -184 = -5*b + 3*h, 3*h + 69 + 77 = 4*b. Calculate the smallest common multiple of b and 14.
266
Suppose -5*i + 8 = j, -i = i - 4. What is the common denominator of (j/8)/((-6)/(-54)) and -56/45?
180
What is the common denominator of 103/46 and 14/2 + 6644/(-1144)?
598
Suppose -b + 2 = 0, -4*b + 2 = -2*h - 8. Calculate the lowest common multiple of 148/8 - h/(-2) and 14.
126
Suppose 4*h = 3*z - 54, -5*h - 2*z = -10*h - 64. Find the common denominator of (1/h*142)/(1/(-2)) and 11/6.
6
Let f = 19495/11 + -1768. What is the common denominator of f and -49/17?
187
Suppose 4 = -v - 4*o - 0, 5 = 5*o. Let z be (2/12)/(35/(-210)). Let w = z - v. Calculate the smallest common multiple of 1 and w.
7
Find the common denominator of -7/104 and ((-3)/(-1278))/(42/(-63)).
7384
Let h(y) = -16*y + 1. Let l be h(-1). Suppose 12*o - l*o + 270 = 0. Calculate the lowest common multiple of 10 and o.
270
Let l = -31 + 28. What is the smallest common multiple of 0 + (-8)/l*3 and 18?
72
Let l(m) = m - 10. Let b be l(13). Suppose -j + 0*h + 4 = 2*h, b*h + 4 = j. Calculate the least common multiple of j and 20.
20
Suppose 4 = -20*a + 21*a. Let l = -17 - -25. Suppose -l*k + 25 = -3*k. What is the smallest common multiple of a and k?
20
Let x(r) = -r**3 - 17*r**2 + 37*r + 62. Calculate the smallest common multiple of x(-19) and 10.
810
Find the common denominator of (-218)/15*(3 - (-14)/(-8)) and -83/12.
12
Let p = 64 - 32. Suppose -2*c + 52 = -4*b, 2*b - 106 = -5*c - 0*c. Calculate the lowest common multiple of p and c.
352
Let j(q) = q**3 - 4*q**2 - 8*q - 4. Let h = -34 + 38. Suppose 24 = 3*x + h*u, x - 2*u + 42 = 5*x. What is the smallest common multiple of j(6) and x?
60
Suppose 0 = -4*q + 20, 4*a + q + 0*q = 681. Suppose 4*v - a = i, 36 = v + i - 5. What is the smallest common multiple of 3 and v?
42
Suppose 3*t = -4*t + 70. Suppose -2*c - t + 22 = 0. Suppose 0 = -2*b + x + 31, x - 17 = -b + 2*x. What is the least common multiple of c and b?
42
Suppose -5*v = -36 - 29. Suppose 4*j = v - 1. Let y = j - 2. Calculate the smallest common multiple of y and 10.
10
Let i be -6 + 4 + 363 + (-2)/3. Let n = i - 365. Find the common denominator of 40/3 and n.
3
What is the common denominator of ((-3)/82)/(-4 + 11 + -10) and 91/18?
738
Let p(u) = u**2 + 8*u. Let i be p(-6). Let n = 17 + -27. Let b = n - i. Calculate the lowest common multiple of b and 24.
24
Suppose 126*k - 130*k + 96 = 0. Suppose 0 = -2*d - 2*d + 16. What is the common denominator of d/(-2) - (-135)/k and -54/11?
88
Suppose -180 = -895*h + 894*h. What is the lowest common multiple of 5 and h?
180
Let x = 2102/11 - 20261/110. Calculate the common denominator of 45/593 and x.
5930
Suppose -2*g = k + k - 28, -3*k = 5*g - 72. Suppose 0 = 3*x - g, -2*x = -4*r + 6 + 96. Calculate the smallest common multiple of 12 and r.
84
Let h = -3469578/145 + 23928. Find the common denominator of 61/20 and h.
580
Let z be (-2 - -2) + 1 + (-2243)/3. Let u = -739 - z. What is the common denominator of 52/15 and u?
15
Let a = 14 + -11. Suppose 0 = a*c - 26 + 2. Calculate the least common multiple of 6 and c/(((-12)/(-9))/2).
12
Suppose m + 4 = -m. Let z(l) = -l**3 - l**2 + 1. Let c be z(-1). Calculate the common denominator of -23/10 and (-23)/(-7) + c*m.
70
Let f be (-9)/(-3 - (-3 - -1)). Calculate the common denominator of -81/14 and (-162)/(-56) - f/36.
14
Suppose 0 = 5*m + 5*q, 12 = -2*q - q. Suppose m*n = -5*d - n + 25, -35 = -4*d + n. What is the least common multiple of d and 13?
104
Let i(m) = m**2 - 6*m + 3. Let v be i(6). Suppose 0 = 2*y - v*q + 4*q - 17, 2*y = -2*q + 16. Let g = 17 - y. What is the smallest common multiple of 7 and g?
56
Let h = 67933/15 + -4527. What is the common denominator of -32/5 and h?
15
Suppose m + 6*i - 17 = 2*i, 2*i - 7 = -m. Let p = m + 5. Suppose 2 - 6 = -p*z, -y - 2 = -5*z. What is the least common multiple of 6 and y?
24
Suppose -6*y = 7 - 19. Suppose -y*j = -14*j + 456. What is the smallest common multiple of 12 and j?
228
Suppose -5*m = 2*k - 81, -m + 16 = 5*k - 14. Calculate the least common multiple of ((-3)/(-2) - 1)*(10 + 8) and m.
45
Let p = 698 + -690. What is the least common multiple of p and 616?
616
Let m = 106105/2447079999 - 1/346661. Let v = 642185/4545996 + m. Find the common denominator of 32/7 and v.
644
What is the common denominator of -53/102 and (-90)/(-675)*(505/8 + 0)?
204
Let l = 22 + -40. What is the common denominator of 2844/(-405) - 4/l and -10/3?
15
Let m(p) = 11*p**2 + 1. Let f be m(2). Suppose 5*x - 63 - 37 = 0. What is the smallest common multiple of (21/5)/(f/150) and x?
140
Suppose -3*a = 6, -n - 3*a = -2*n + 10. Suppose -2*u + 20 = -n*r, 3*r = -3*u - 2*r + 41. What is the lowest common multiple of 9 and u?
36
Suppose -40 = 7*c - 5. Let w = 6/2053 - -77960/18477. What is the common denominator of w and (-2)/c + (-142)/55?
99
Let s(c) = 8*c - 45. Let r be s(25). Let j = 609/4 - r. Calculate the common denominator of j and -107/10.
20
Suppose -31 = 4*z + 209. Let b = -42 - z. Suppose 4*p = -d + 3*d - 48, 4*p = -3*d + 62. What is the smallest common multiple of b and d?
198
Let u be (1/(-5))/(8/(-48215)). Let r = 2174 + -971. Let q = u - r. What is the common denominator of 20/3 and q?
24
Let g(o) be the first derivative of -o**4/4 + 8*o**3/3 - 3*o**2 + 2*o - 24. What is the least common multiple of g(7) and 1?
9
Suppose 0 = 3*d - 0 + 6. Let o(p) = p**2 + 7*p - 5. Let q be o(-8). Find the common denominator of -41/10 and (-9*(q + d))/16.
80
Let a = -21 + 26. Suppose p - a*i = -18870, -188 = -3*p + 4*i - 56842. Let j = p - -302339/16. Calculate the common denominator of -99/10 and j.
80
Let t = -82583/30 - -2755. Find the common denominator of t and 41/15.
30
Let v(k) = -4*k**2 - 30*k - 13. Calculate the least common multiple of v(-7) and 16.
16
Find the common denominator of (-342)/132 - (-12)/(-6) and (1/5)/(12/530).
66
Let a = 5786 + -121594/21. Find the common denominator of a and -65/21.
21
Let c = -54089/10 - -5402. Let q = -65 - -397. Let a = -641/2 + q. What is the common denominator of c and a?
10
Suppose -13 = -4*y + 3*y + 5*c, 45 = -5*y + 3*c. Let j = -1375 - -8333/6. What is the common denominator of (7/(-9))/((-2)/y) and j?
6
Let v(x) = -x**2 + 9*x - 10. Let b be v(7). Suppose 0 = 4*i + 3*c - 10, 2*i = b*i + c - 6. Calculate the smallest common multiple of 7 and (18/(-5))/(i/(-10)).
63
What is the common denominator of -113/132 and 338/168 + 18/(-6) + 0?
924
Suppose 3*j - 50 = -8. Calculate the lowest common multiple of j and 22.
154
Let z(d) = -d**3 + 7*d**2 + 4. Suppose -86 = 2*l - 18. Calculate the lowest common multiple of z(6) and (-64)/6*51/l.
