22 + -16. Calculate the least common multiple of s and u/(-8) - 2/(-4).
6
Let l = 1607/30 + -162/5. What is the common denominator of -51/4 and l?
12
Suppose 2*b + 10 = -3*b - 3*k, -2*b - 4 = -4*k. Let t(h) = -h + 2. Let l be t(b). Suppose -5*n + 19 = l. What is the lowest common multiple of 2 and n?
6
Let f be -66 - -2 - 2 - -1. Let b = f - -91. Let r = -16 + b. Calculate the lowest common multiple of r and 16.
80
Suppose 0 = -o - o + 192. Let p = 9 - 9. What is the common denominator of p and -3*(o/63 - 0)?
7
Calculate the lowest common multiple of 2/(-6) + (-24)/(-18) and 23.
23
Suppose -5*f = 2*o - 0*f + 21, -5*o = 2*f + 84. Calculate the common denominator of 9/7 and (-1)/2 + (-149)/o.
63
Let i = 157 - 102. What is the smallest common multiple of i and 20?
220
Let w = -13/18 - -241/72. What is the common denominator of w and (-3 - (-7 + 115))/(1 - -9)?
40
Let k be 147/(-88)*7*2. Let r = k + 95/11. Let n = -665 - -7308/11. Find the common denominator of n and r.
44
What is the common denominator of 18/99 + 1458/88 and -27?
4
Suppose 4*r = -4*x + 516273796, x + x - 3*r = 258136898. Let v = -314281691806/2435 + x. Let m = 3/487 - v. What is the common denominator of -51/11 and m?
55
What is the lowest common multiple of 6*(-205)/(-105) - 4/(-14) and 9?
36
Let m = 41 + -37. Calculate the smallest common multiple of m and 4.
4
What is the common denominator of 4/25 and 4/((-540)/147) + (-1 - -4)?
225
Let q = -977/10 + 5101/55. Let n = 107 + -67. Calculate the common denominator of 1 + (1078/n)/7 and q.
220
Find the common denominator of 4 + -2 + 268/12 and -85/8.
24
Let o = 12925 + -180853/14. What is the common denominator of o and 4/7?
14
Let a = 15 + -8. Suppose -5*b = -10 - 45. Calculate the lowest common multiple of b and a.
77
Let h = 8923/110 + -790/11. Let b = 5503987/22832 - 3857/16. Let t = b + -178393/8562. Find the common denominator of h and t.
30
Suppose m = -4*c - 11, 2*m - 7 = -m - 2*c. Calculate the smallest common multiple of m and 2.
10
Let y = 2044 + -32729/16. Find the common denominator of 25/8 and y.
16
What is the common denominator of -23/4 and ((-85)/60*3)/(-6)?
24
What is the common denominator of -9/8 and (-9)/12*-10*(-52)/(-24)?
8
Calculate the smallest common multiple of 33 and (3 - 2)*1 + 23.
264
Let w = -71 + 76. Calculate the lowest common multiple of w and 7.
35
Let q = 3362/33 + -313/3. Let i = -29/17 + 149/187. Find the common denominator of q and i.
11
Let u = -41 - -43. Calculate the smallest common multiple of u and 10.
10
Suppose 0*o - 3 = -3*o. What is the least common multiple of 2 and o?
2
Let i = -1778/139 + -1371247/1390. Let v = 998 + i. Calculate the common denominator of 38/7 and v.
70
Let c be 0/(0/(-2) + -1). Suppose -d - 3*z = 4, 0 = 5*d + 2*z - 4 - 2. Calculate the lowest common multiple of d and 3 - ((c - -3) + -11).
22
Suppose -2*c = 4*p - 12, 5*c + 1 = 2*p + 7. What is the lowest common multiple of c and 10?
10
Let w = 20 + 32. Let z = w - 34. What is the least common multiple of 12 and z?
36
Let l(x) = x**3 - 4*x**2 + 2*x + 4. Let j be l(3). Let q(s) = 8*s**3 - 2*s + 1. What is the smallest common multiple of q(j) and 5?
35
Calculate the common denominator of -1/2 and (-155)/(-50)*30/(-8).
8
Let r(y) = y**3 - 5*y**2 - 6*y + 2. Let s(p) = 1 - 1 - 6*p + 0*p**2 - p**2 + 6. Let j be s(-6). What is the smallest common multiple of 4 and r(j)?
4
Let z = -1 + 2. Find the common denominator of 83/36 - (-2)/(-9) and (z/(3/(-166)))/12.
36
Suppose -p + 4 = 2*l + 4*p, -4*l + 60 = -3*p. What is the common denominator of 4/1 + 355/(-50) and 37/l - 2/(-4)?
60
Let u(s) = -s**2 - 7*s + 4. Let t(b) = b**2 + 11*b + 12. Let g be t(-9). Calculate the lowest common multiple of u(g) and 20.
20
Let x(d) = -3*d - 4*d - 4 - d - d**2. Let i be x(-7). Suppose -3*b + 15 = i*l, -3*l = -4*b + 3 + 3. What is the lowest common multiple of 3 and l?
6
Let n = 144 + -143. Let l(v) = 7*v - 7. Let m(t) = -21*t + 20. Let q(f) = -17*l(f) - 6*m(f). Calculate the lowest common multiple of q(n) and 6.
6
Suppose 4*p = 5*p - 8. Let x be 1/(-1) + 2 + 1. Suppose -26 = -4*m + x*f + 6, 2*m - 5*f = p. Calculate the least common multiple of m and 10.
90
Suppose -3*p - 3*h - 1 = -p, 0 = 3*p + 5*h + 3. Calculate the smallest common multiple of 9 and (-2)/(2*p/(-16)).
36
Let w(m) = 3*m**2 - 4*m - 2. Let d = -2 - -6. Let r be w(d). Suppose 2*z - 14 = r. What is the smallest common multiple of z and 22?
22
Let d = 5167 - 82641/16. What is the common denominator of d and 35/18?
144
Let c = 4051/108 - 1/108. Let r be 204837/(-79310) - (-1)/5. Let d = r - 19/721. What is the common denominator of d and c?
22
Let f = 108/13 + -2779/286. What is the common denominator of f and 43/62?
682
Let m = 2/67 - -6227/134. Let h = -2/47941 + 5992661/862938. Calculate the common denominator of h and m.
18
Let j be 9982/12*11 + -1. Let k = -9128 + j. What is the common denominator of (114/28)/((-64)/(-56)) and k?
48
Suppose -5*f - 3*j + 476 = 0, 9*f - 3*j = 4*f + 494. What is the smallest common multiple of f and 11?
1067
Let p be (-2)/(-7) + (-52)/(-14). Suppose -5*t - j + 943 = 0, 417 = p*t - 4*j - 323. Calculate the common denominator of -81/2 and (2/8)/(4/t).
4
Let c = -36311/16 + 2274. Suppose 5*l + 42 = 2*b, -2*l + 7*b = 2*b. Calculate the common denominator of ((-12)/l)/(48/435) and c.
16
Let a(r) = 6*r + 16. Let i be a(-8). Let n = i + 2. Find the common denominator of n and -67/10.
10
Let r be 3*(8/(-3) + -2). Let h = 59 + r. Suppose -6*a + a = 5*d - h, -15 = -5*a + d. Calculate the lowest common multiple of 3 and a.
12
Let h(y) = 2*y**3 + y. Let b be h(-1). Let k = b + 1. What is the common denominator of 31/10 and 59/3 - 1/k?
30
Let d = 17887/1570 + -46/157. What is the common denominator of d and -69/16?
80
Suppose 5*f - 13 = -3*c, 2*f = 3*c - 0*c - 41. What is the least common multiple of c and 35?
385
What is the common denominator of 117/10 and (-1757)/462 - (-2)/(-6)?
110
Suppose -6*l - 2*k = -l - 52, l - 14 = -4*k. Calculate the least common multiple of -1*(-4)/(-14) - 7138/(-581) and l.
60
Let l(v) = 3*v + 51. Calculate the least common multiple of l(-5) and 4.
36
Let l = 9 + -3. Let a = 11 - l. Suppose -a*h - 6 = -31. Calculate the smallest common multiple of h and 6.
30
Let x = -42149/14 + 3005. Find the common denominator of x and 69/22.
154
Let r = 32/117 - 7627/936. Suppose -2*u - m = -38, m = 4*u - 5*u + 20. Calculate the common denominator of r and 4 - 6 - 381/u.
24
Let i = -11 - 1. Let u = i - 0. Find the common denominator of ((-3)/u)/(3/(-291)) and 37/20.
20
Let j(h) = 5*h**2 - h + 1. Let w be j(2). Suppose -2*m - 2*m - 32 = 0. Let y = m + w. Calculate the smallest common multiple of y and 10.
110
Let c(w) be the first derivative of 1 - 1/3*w**3 + 1/4*w**4 - 3*w + 1/2*w**2. What is the lowest common multiple of 14 and c(3)?
126
What is the common denominator of 49/30 and 10/14*(-4)/(24/(-161))?
30
Let a = -6 + 6. Suppose a = 4*o + 6 - 2. Find the common denominator of 11/8 and (-52)/(-16) + o/(-4).
8
Let x = -127175/14 + 9090. Find the common denominator of -23/18 and x.
126
Find the common denominator of 143/18 and -1 - (286/40 - 2).
180
Suppose 4*g + 0*g - 52 = 0. Suppose -3*m - m = s - g, 5*s - m = 2. Calculate the lowest common multiple of s and 9.
9
Let c be (-3682)/(-8) + 4/(-16). Let y = -1001/2 + c. Find the common denominator of 19/6 and y.
6
Calculate the common denominator of -3 - 7/((-42)/(-255)) and -85/6.
6
Let w be (-2)/(-1*1/(-3)). Calculate the common denominator of 71/6 and ((-8)/w)/((-20)/(-186)).
30
What is the common denominator of 18/5 and -1 - (-4)/((-20)/(-49))?
5
Let k(v) = -v**2 - 6*v + 9. Let n be k(-7). Suppose 8 = -5*o - 12. What is the common denominator of (n/o)/(9/192) and 17/3?
3
Let x = 36 + -6. Calculate the lowest common multiple of 27 and x.
270
Find the common denominator of 20/25 - (-306)/105 and 3/40.
280
Let d(u) = u**3 - 2*u**3 - 8*u**2 + 4 - 2. Let m be d(-8). Suppose 0*k + 2*k = -5*a + 108, -47 = -m*a + 3*k. Calculate the lowest common multiple of a and 4.
44
Calculate the lowest common multiple of 2 and (1/1*-1)/((-4)/108).
54
Let t = 10759/5598 + 7/311. Let y = -1805 - -7179/4. Calculate the common denominator of t and y.
36
Let q(r) = r**3 + 4*r**2 + 3*r - 3. Let b be q(-4). Let p b