
Let w = 2606057/264 - 29612/3. Calculate the common denominator of -61/48 and w.
528
Suppose -4*a + 440 = -8*a. Calculate the common denominator of 2/(-11) - (-915)/a and 23/8.
8
Suppose 9*w - 59 = 166. Suppose -12 = 21*k - w*k. What is the smallest common multiple of k and 2/(-3)*6/(-4)?
3
Let r = 897 - 577. What is the lowest common multiple of 2 and r?
320
Let d(f) = -3*f**2 - 4*f - 26. Let t(v) = -2*v**2 - 4*v - 25. Let n(s) = 3*d(s) - 4*t(s). What is the smallest common multiple of 11 and n(7)?
11
Let u = 12 + 2. Suppose -2*w + 0 = -12. Suppose -3*s + w = t - 0*t, 0 = 4*t. Calculate the smallest common multiple of s and u.
14
Suppose n - k - 281 = 0, 0*n + n - 279 = 3*k. Find the common denominator of 35/2 and (22/(-33))/(28/n).
14
Let j be 5*((-4)/10)/(-1). Suppose -2 = -4*o + j*y, -2*o + 0*y - 1 = -3*y. Calculate the common denominator of o/(-8)*-50 + -3 and 23/3.
12
Let j(w) be the second derivative of -w**4/12 - 7*w**3/3 - 15*w**2/2 + 11*w. Let x = 6 + -2. Calculate the least common multiple of j(-12) and x.
36
Let u(o) = -2*o + 16. Let i be u(9). Calculate the common denominator of (-91)/i*(-9)/81 and 83/2.
18
Let x = 0 - 15. Calculate the lowest common multiple of 21/6*(32/14 + 4) and (6/5)/((-3)/x).
66
Suppose 134*n - 69*n - 21840 = 0. Calculate the smallest common multiple of n and 192.
1344
Let z(g) = g**2 + 2*g + 10. Let c = -26 - -26. What is the least common multiple of z(c) and 20?
20
Calculate the common denominator of 3/12 + 226/(-532) + 0 and -17/14.
532
Let t = -2410 - -2424. Suppose -3 = -2*k + 9. Calculate the least common multiple of t and k.
42
Calculate the common denominator of 145/156 and 8/52 - 8675/2730.
1092
Let f = -1467 + 1703. What is the lowest common multiple of f and 42?
4956
Let p(b) = -b**3 + 36*b**2 + 78*b + 212. What is the smallest common multiple of p(38) and 4?
288
Suppose 6*h - 4*h + 3*m - 25 = 0, -4*h - m = -35. Calculate the lowest common multiple of 64 and h.
64
Let u = 2 + -1. Calculate the common denominator of -3 + u + (-37)/6 and (18/972*-6)/(1/(-30)).
6
What is the common denominator of (438/42)/((-54)/21) and ((-4)/(-18))/(1 + (-66)/60)?
18
Let v = 8 + 3. Let x = v - 11. Suppose 5*a - 50 = -5*d, -3*d = 6 - x. Calculate the lowest common multiple of 16 and a.
48
Let f be (-4)/(-10) - 198/45. What is the smallest common multiple of (3*f/(-24))/(-1)*-56 and 44?
308
Suppose 3*v = 1 + 17. Let l(p) = v*p - 17*p + 4 + 13*p. What is the least common multiple of 12 and l(8)?
60
Suppose 32 = t + 22. Suppose -4*d + 1 = -3*d. Calculate the lowest common multiple of t and d.
10
Let l be 1*1616/(0 + 4). Suppose 0 = -3*d - 12, 5*k - d = -2*d - l. Calculate the common denominator of 1948/k - 6/15 and 19/6.
12
Let k be 80/(-140)*((-42)/4 + 0). Find the common denominator of -69/40 and (-1540)/2970*k/16*2.
360
Let y be (-1)/((-18)/48)*(16 + -1). Suppose b + y = 6*b + 2*m, -b + 4*m + 30 = 0. What is the smallest common multiple of 20 and b?
20
Suppose 2*l - 3*w - 45 = 0, 0 = -5*l + 2*w + 124 - 6. Find the common denominator of 43/24*l/(-30) and -43/9.
90
Let y = 29 - 44. Find the common denominator of -13/21 and 8/y*696/96.
105
Let z = 2573/10 + -257. Find the common denominator of 0 + 2 + (0/(-4) - 10) and z.
10
Let r(s) = 2*s**2 - 19*s + 35. Let c be r(12). Let u = -83 + c. Calculate the lowest common multiple of (16/6)/(1/3) and u.
24
Let r be (16/(-10))/((-2)/10). Find the common denominator of 1/3*(-178)/r and 12/5.
60
Let b(w) = w**3 - 32*w**2 - 36*w + 114. What is the smallest common multiple of 9 and b(33)?
45
Let t(q) = q**2 + 8*q - 26. Suppose k = 4*k - 27. What is the least common multiple of t(-11) and k?
63
Suppose -5*i - x - 11 = 0, 2*x + x - 12 = 0. Calculate the common denominator of (-891)/(-36) - (-1)/2 and ((-130)/i)/(-6 - -4).
12
Let b = 19 - 18. Let j be -14 - ((b - 1) + -3). Let t = -6 - j. Calculate the lowest common multiple of t and 10.
10
Let s = -13 + 15. Suppose 3*k - 1 = -2*n + s, 2*k + 6 = -4*n. Suppose -k*d = 3*o - 27, 0*o + 30 = 4*o + d. Calculate the lowest common multiple of 7 and o.
7
Let g = -30 - -48. Let x(q) = -4*q. Let p be x(3). Let t = p - -26. Calculate the lowest common multiple of g and t.
126
Let t = -2042 - -2492. What is the least common multiple of 150 and t?
450
Let c = -28 - -13. Calculate the least common multiple of 3/c*0 + 18 and 8.
72
Suppose 0 = -4*w - 5*a - 23, 2*a = -5*w + 6*a + 2. Let q = 0 + 3. Calculate the smallest common multiple of q and w + 7 + 15/(-5).
6
Let b = -1931/16 - -122. Suppose 3*q + 2657 = -1672. Let m = 14453/10 + q. Calculate the common denominator of b and m.
80
Suppose -2*x - 3*b = 50, -3*x - 102 = 2*x - 4*b. What is the least common multiple of (-30)/165 - 268/x and 15?
60
Suppose 0 = -d + 2*d - 2. Suppose 8 + 10 = d*a. What is the least common multiple of 4 and a?
36
Let q = 17/38 - 79/304. Calculate the common denominator of 111/10 and q.
80
Let v = -101 + 87. What is the least common multiple of (105/v - -9)*(-20)/(-1) and 10?
30
Let s = 7 + -7. Let z = -34 + s. What is the common denominator of 93/14 and (45/(-24))/(12/z)?
112
Suppose -2*x - 2*z + 14 = 0, -5*x - 3*z + 27 = -0. Let i = 10 + -4. Calculate the lowest common multiple of x and i.
6
Suppose -8*a = -6 - 42. Let h(n) = -n**2 - 5*n - 2. What is the least common multiple of a and h(-3)?
12
Suppose y + 4*i + 296 = 0, 4*y + 776 + 476 = i. Calculate the common denominator of 83/20 and (-334)/y - (-10)/30.
260
What is the lowest common multiple of 5*(6 - (-16)/(-10)) and 106?
1166
Suppose -20 = -3*i + 4*j, -5*j = -5*i + 44 - 9. What is the smallest common multiple of 8 and i?
8
Let k(x) = 12*x - 16. Let f be k(4). Let z = f + -24. Let m = 47 - 25. Calculate the least common multiple of m and z.
88
Suppose -o - 167 = c, 5*o - 4*c = -3*c - 811. Let d = 165 + o. What is the lowest common multiple of d and 6?
6
Calculate the least common multiple of (-6)/(-27) - 1472/(-18) and 12.
492
Let c = 456 + -406. Calculate the smallest common multiple of 45 and c.
450
Let p be 2/2 + -1 + 760. Calculate the common denominator of (15/(-8))/(210/p) and -39/14.
14
Let u(k) = -3*k + 15. What is the smallest common multiple of 36 and u(-9)?
252
Suppose -3*m - 1220 = 5*n, 3*m + 623 = 4*n + 1599. Find the common denominator of (-1)/(-7) - ((-4664)/672 - -15) and ((-15)/(-20))/(6/n).
12
Let t = -3 + 27. Let d = 6084 - 48735/8. Find the common denominator of (-24)/(-36) - 85/t and d.
8
Calculate the common denominator of 37/52 and ((-430)/(-624))/1 + 8/(-64).
156
Let n(t) = t + 11. Let i be n(-9). Let u(l) = 5*l**i - 2*l + 3*l + l - 2 - l. Calculate the least common multiple of u(-2) and 10.
80
Let i = -18 + 27. Suppose -4*s = -i*s + 30. What is the smallest common multiple of s and 12?
12
Find the common denominator of 16/512*124/(-15) and 149/48.
240
Let p be (1 + 0)/((-2)/(-30)). Let y = -70 - -76. Calculate the least common multiple of y and (p/(-10))/(6/(-88)).
66
Suppose 0 = 4*b - 0*b + 2*z - 4, 2*b - 2 = -5*z. Suppose -4*j + 5*m + 24 = 0, 3*m + 14 = 2. What is the smallest common multiple of j and b?
1
Let l = -1109 - -2135/2. Find the common denominator of l and -37/100.
100
Suppose c + 0 = 4. Suppose 0 = -3*r - x + 1045, 0 = -4*r + 2*x - 4*x + 1396. What is the common denominator of 103/22 and c/(-6) - r/(-30)?
110
Suppose 0 = -10*b + 20*b - 100. What is the lowest common multiple of (3 - 2)*(7 + 3) and b?
10
Let a(k) = 3437*k + 5. Let w be a(-6). Let m = 247543/12 + w. Calculate the common denominator of (-190)/36 + (-1)/(-1) and m.
36
Suppose 0 = -k - 1232 - 1330. Let c be ((-3)/6)/((-4)/20318). Let p = c + k. Calculate the common denominator of p and -5.
4
Suppose -3 - 5 = 4*o, t - 2*o - 27 = 0. Suppose -5*x = y - t, -3*x - x = 5*y - 31. Suppose 0 = -v - y*v + 40. What is the lowest common multiple of v and 2?
10
Let o(v) = 3*v**2 + 11*v - 20. Let c(j) = j**2 - 17*j + 35. Let n be c(14). What is the smallest common multiple of o(n) and 4?
100
Let r = -28933/7 + 365335/91. Let p = -1654579/13949 - r. Let t = 76187/4292 + p. What is the common denominator of t and 25/11?
44
Suppose -70*t = -62*t - 792. Calculate the least common multiple of 63 and t.
693
Let k = -2 + 5. Suppose 0 = k*r - 4*l + 1, 3*r + 5*l + 0 = 8. What is the least common multiple of r and 1?
1
Let d be ((-1267