t a(h) = -9*h. Let f = 438/35 + -3799/105. Find the common denominator of f and a(-1).
3
Calculate the common denominator of ((-2)/(-16))/((-2)/170) and ((-12)/1554*-1)/(29720/3710 + -8).
296
Let x = 8941073/178 - 50231. What is the common denominator of -35/6 and x?
534
Suppose 5 = 3*a - 1. Suppose a*t + 34 = 2*u, 4*u + t = -0*t + 93. What is the lowest common multiple of u and 18?
198
Let f be (-524)/(1 - (-13)/(-23)). Let m be 6424*(-34)/(-15)*(-4)/48. Let q = f - m. Calculate the common denominator of -41/7 and q.
63
Find the common denominator of (-93330)/(-8100) - (-1 - -11) and -37/6.
90
Let x = 759 - 742. What is the lowest common multiple of 9 and x?
153
Let p = -1 + -24. Calculate the smallest common multiple of 7 and (10/p)/(1/(-5)).
14
Suppose -27 = -20*n - 32*n + 337. Suppose 34 = z + z. Calculate the smallest common multiple of z and n.
119
Let l = -5919 + 1865. Let c = 267523/66 + l. Find the common denominator of c and 87/22.
66
Suppose 2*n - b - 5 - 47 = 0, -4*n - b + 98 = 0. Find the common denominator of (-270)/n + 2 + 2 and 6/5.
5
Suppose -5*l + k + 6833 = -3*k, -2*l + 2735 = -k. Let z = -24635/18 + l. Let f = -612/5 + 9467/80. What is the common denominator of f and z?
144
Suppose 0 = -5*x - 15, 0*q - 36 = -q + 2*x. Calculate the smallest common multiple of 80 and q.
240
Suppose -5*k + 4*q + 104 = 0, -q + 6*q = -k + 44. Let g = k + -22. Calculate the smallest common multiple of 8 and g/4*(1 + 9).
40
Suppose 2*w + 3*g + 198 = 4*w, -4*w = g - 396. Let u = w + -83. Suppose j + 0*j - 37 = -n, -5*n - 4*j = -184. Calculate the least common multiple of u and n.
144
Let j = 38 + -35. Suppose -x = 5*q - j*x - 22, -4 = 4*x. What is the smallest common multiple of q and 6?
12
Calculate the common denominator of 7/184 and (-4555)/2070 + 5*4/90.
184
Suppose -3*n + 10 - 1 = 0. Suppose -m = -n*m + 8. Calculate the least common multiple of -7 - (508/(-18) + 20/90) and m.
84
Suppose -4*k - 3*y + 8 = 0, -2*k + 3*k - y + 5 = 0. Find the common denominator of 5/15*(-5)/k and 45/4.
12
What is the least common multiple of 4920/63 + -1 + 70/(-735) and 126?
1386
Let c = 27036153/506 - 1103289/23. Let o = c - 5457. Calculate the common denominator of o and 79/40.
440
Let k(n) = -n**2 + 10*n + 12. Let p be k(14). Calculate the common denominator of ((-6)/p)/((-5)/(-170)) and 85/16.
176
Let f = -2/226379 + -9279525/227963653. Find the common denominator of -34 and f.
1007
Suppose -x + 4*x = -4*h + 344, -3*x + 342 = 3*h. What is the lowest common multiple of x and 80?
560
Calculate the lowest common multiple of (5 + -15)*(3 - 9/2) and 40.
120
Suppose 0 = -2*c + 41 + 35. Let v = c + -24. Suppose 0 = -4*m + 5*m - 8. What is the least common multiple of m and v?
56
Suppose 2*j + 33 = 3*t, j + 4*j - t = -63. Let m = 7004/45 - 786/5. Calculate the common denominator of (-16)/6*(-11)/j and m.
9
Let l = -11756/5 + 2344. What is the common denominator of -115/42 and l?
210
Let y = -649 - -1599. Calculate the lowest common multiple of y and 20.
1900
Let a = -79 - -70. Let d(c) = -7*c - c**2 - 11*c - 9 + 6*c. Calculate the smallest common multiple of 22 and d(a).
198
Let x(m) = -m**2 + 23*m + 77. Let b be x(28). Let s = b + 187. Calculate the least common multiple of s and 8.
248
Find the common denominator of (-44)/(-160)*-1 + 3 and -49/55.
440
Let d(x) = -x**3 + 9*x**2 + 9*x + 1. Let y be d(10). Let k = -13 - y. What is the common denominator of -93/16 and 586/(-288) + k/(-18)?
16
Suppose -10*q = 2*w - 6*q - 156, 3*w - 234 = 5*q. Calculate the smallest common multiple of 12 and w.
156
Let u be 2 + 3/(-342)*215. Let x = u + -2561/798. Find the common denominator of x and -13/10.
210
Let b = 2539 + -2527. Calculate the lowest common multiple of 36 and b.
36
Let n = -9 - -11. Let j be n/(-13) + 2845/(-13). What is the common denominator of (-1)/2 - j/9 and 5/4?
12
Let u(t) = -7*t. Let m(g) = -20*g + 1. Let v(y) = 4*m(y) - 11*u(y). Let h(w) = w**3 + 2*w**2 - w. What is the least common multiple of v(-2) and h(-2)?
10
Suppose -4*a - 5*s = -127, -2*a + s = a - 119. What is the lowest common multiple of a and 4?
76
Let x(c) = -13*c**2 - 8*c - 7. Let o(l) = -27*l**2 - 17*l - 15. Let a(s) = 4*o(s) - 9*x(s). What is the least common multiple of a(-1) and 4?
8
Let j(o) = -o**2 + 5*o + 3. What is the smallest common multiple of j(4) and 5?
35
Let l = 145 + -125. Calculate the lowest common multiple of l and 52.
260
Suppose 3*x = 4*l + l - 30, 3*l = -2*x + 18. Suppose -19*a = a - 240. Calculate the smallest common multiple of a and l.
12
Let q = -336 - -728. Let c = q - 4308/11. Calculate the common denominator of c and -40/9.
99
Let y = -2/42521 - 4421974/4464705. Calculate the common denominator of -11/84 and y.
420
Suppose 15705*c - 15701*c - 24 = 0. Suppose -6*b - 3*i = -4*b + 9, -25 = -5*b + 2*i. Calculate the lowest common multiple of b and c.
6
Suppose 2*v - 35 = -2*y - 3, -5*v + 20 = y. Suppose -4*o + y = -17. Let j(b) = b**3 + 2*b**2 - b + 1. What is the least common multiple of j(-2) and o?
24
Let q be 4/(-4) + 2*28. Let g = -2/2391 + -32671/7173. Find the common denominator of g and q/8 - (3 - 3).
72
Suppose 10 = -5*d, 5*v - 27 = 2*v - 3*d. Suppose 21 = 4*t - v. What is the smallest common multiple of 12 and t?
24
Suppose -353 = 40*j - 9793. Calculate the smallest common multiple of 7 and j.
1652
Let b(m) = 165*m**2 - 3*m - 1. Calculate the smallest common multiple of b(1) and 184.
1288
Suppose 3*p - 39 = 3*q, q = p - 2*q - 7. Let x(b) = -3*b - 9. Let j be x(1). Calculate the smallest common multiple of 12 and ((-3)/2)/(j/p).
12
Let i(c) = c**3 + 12*c**2 + 9*c + 16. Calculate the least common multiple of i(-11) and 90.
1710
Let s(o) = -o**2 - 4*o - 3. Let x be s(-5). Let j = 34 + x. Let k = 2741/4 - 660. Find the common denominator of k and j.
4
Let y(c) = -13*c - 16*c + 4 + 31*c. What is the smallest common multiple of y(0) and 20?
20
Let l(t) = t + 28. Let c(h) = h**2 + 7*h + 6. Calculate the least common multiple of l(-6) and c(-7).
66
Let w(o) = -o**3 + 6*o**2 + 7*o + 8. Let k = 12 - 8. Suppose k*b = -b + 15. What is the smallest common multiple of w(7) and b?
24
Let r be -1 - 2 - 64976/60. Let c = r - -1085. Find the common denominator of 55/3 and c.
15
Let b = -93 - 156. Calculate the common denominator of b/30 - (-2)/15 and -81/22.
66
Find the common denominator of -1/10 and (-17*6/(-26) + -4)*-9.
130
Let x(v) be the third derivative of v**6/120 + v**4/12 + v**3/3 - 2*v**2. Let u be x(-2). Calculate the least common multiple of 9 and u*((-3)/1 + 2).
90
Suppose 11*q - 12 = 7*q. Calculate the common denominator of 55/6*6/(-4) and (-2)/q + 4524/1008.
28
Let v be (2519/57387)/((-22)/600). Let l = -60/517 - v. What is the common denominator of 9/5 and l?
185
Let s(a) = -a - 12. Let n be s(-14). Let p(f) = -2*f**2 - 3*f**2 - 13 + 4*f**n - 6*f - 8*f. Calculate the smallest common multiple of p(-12) and 8.
88
Let x = 13811 - 29846. Let b = x + 192287/12. Let g = 662/27 + -15913/540. What is the common denominator of g and b?
60
Suppose 11*n = 13*n + 10. Let c(l) = 4*l**3 - 5*l**2 - 7*l - 5. Let h be c(n). Find the common denominator of 2/(-6) + h/(-165) and 101/8.
88
Let z be 1 + ((-6)/3 - 6). Find the common denominator of 99/14 and 2/z*1253/120.
420
Let f be 838/84 - (-1)/(-3). Let w = -279/7 - f. Calculate the common denominator of -94*(-2)/(-48) + -2 and w.
12
Let a(d) = -d - 5. Let j be a(-7). Let o = j - 0. Find the common denominator of (-123)/(-42) - (0 + o) and -79/18.
126
Let x be 275/99 + 2/9. Suppose x*h - 698 = -5*v - h, 0 = -2*h - 6. What is the least common multiple of v and 2?
142
Let k(n) = -14*n**3 + 2*n**2 + n. Let t(q) = -q**3 + 3*q**2 + 4*q - 1. Let w be t(4). What is the common denominator of (-3)/((-165)/300 + 3/4) and k(w)?
1
Calculate the smallest common multiple of (252/27)/(-14)*(-1491)/2 and 8.
3976
Let d = 13/258 - -2165/129. Find the common denominator of d and -121/30.
30
Suppose 18*d = 28 - 10. Suppose h + 2*h - 5*i + 14 = 0, -3*h - i + 10 = 0. What is the least common multiple of h and d?
2
Let s = 828/7 - 15835/126. What is the common denominator of s and 7/27?
54
Let v = -13 - -44. Let t = v + -31. Suppose t = 3*b + 9, -3*b - 16 = -5*j + 3. What is the least common multiple of 10 and j?
10
Let m be (-2)/10 + (-108)/(-15).