 Calculate the common denominator of t and 43/8.
120
What is the common denominator of (-118)/16 + (8 - 11) and 121/10?
40
Suppose 3*n - 4*c - 34 = 61, n = -5*c + 38. What is the smallest common multiple of n and 30?
330
Let q be (6/(-424))/((-6)/(-5684)). Let w = q - 5/53. Calculate the common denominator of w and -43/3.
6
Let r = -42/47 + 581/282. What is the common denominator of r and (-3)/5 - (-8799)/(-1260)?
12
Let v = -336/19 + 2795/114. Calculate the common denominator of (-3)/(-8)*(-267)/(-9) and v.
24
Suppose -2*j + 7 = 3*g, -3*j - 13 + 32 = -4*g. Suppose 2*u = 5*h - 3*h + 10, -u = 4*h + j. Find the common denominator of u/4 - 1323/140 and -45.
10
Suppose -5*s + 3*z - 2*z = -46, 14 = 2*s + 4*z. Calculate the least common multiple of 108 and s.
108
What is the common denominator of -95/8 and (0 - 3) + 775/70?
56
Let g = -6 - -10. Let y(c) = 2*c + 5. Let n be y(5). Suppose -24 = -2*d - 4*r, -2*r + 87 = g*d + n. What is the lowest common multiple of 20 and d?
20
Let s = 1023/10 - 389/10. Let f = 7369/110 - s. What is the common denominator of f and 133/12?
132
Suppose -4*v + 7378 = -6*v. Let o = v - -36953/10. What is the common denominator of o and 113/12?
60
Let s = -1249/1386 - 260/77. Calculate the common denominator of s and 29/12.
36
Let w(l) be the second derivative of l**3/3 + l**2 + 2*l. What is the smallest common multiple of w(6) and 22?
154
Let b = -24 - -46. Let x be -5 + -2 + 0 + -1. Let z = x + 14. What is the smallest common multiple of z and b?
66
Suppose -k + 16 = -r - 3*r, 3*k - 61 = -r. Suppose -4*s + f + 102 = s, 3*f + 66 = 3*s. Calculate the smallest common multiple of k and s.
20
Let q be 5/30 + 11/6. Suppose q*w = 4*w. Suppose f + 2 - 16 = w. Calculate the lowest common multiple of f and 10.
70
Let m(q) be the second derivative of -q**4/4 + 4*q**3/3 - q**2/2 - q. Let h be m(7). Find the common denominator of -103/6 and 1/(-3) - h/18.
18
Calculate the common denominator of (-1)/(-5) - 966/80 and -17.
8
Find the common denominator of 10/(-18)*(-1 - 40/(-75)) and -5/3.
27
Calculate the common denominator of 103/66 and 1003/42 - (-1 + (-30)/(-42)).
66
Let d be (4 + -8)/(4/(-6)). Suppose 0 = 2*f - d, -x - f = 3*x + 29. What is the common denominator of ((-2)/(-6))/(x/102) and -13/20?
20
What is the common denominator of 151/48 and (1870/(-84))/(-5) + (-4)/14?
48
Let z = -146 - -156. What is the least common multiple of z and 5?
10
Let i be -448643724*(-4)/(-897287449) + 2. Let u = i + -25264922715983/6500847568005. Let b = u + -2/805. What is the common denominator of -59/4 and b?
36
Let r(h) = h**2 + 4*h + 1. Let f be r(-4). Suppose f = 4*m - 27. Calculate the lowest common multiple of 1 and m.
7
Let w be (-2014)/176 - 2/11. Let p = w + 3/8. Calculate the common denominator of -15/16 and p.
16
Suppose 3*w - 20 = c - 6*c, 0 = -3*c + 3. Suppose 1 + 1 = -h, 0 = -y - 5*h. What is the smallest common multiple of y and w?
10
Suppose 4*l - 4*q + 2844 - 420 = 0, 0 = q + 4. Calculate the common denominator of -3*1 + l/40 and 145/6.
12
Let x = -17 - -18. Calculate the smallest common multiple of x and 11.
11
Let r be 1 - 3*2/(-2). Suppose -r*b - 105 = 43. What is the common denominator of 27/5 and b/(-7)*1 + 0?
35
Let t(v) = -v**2 + 9*v + 2. Let s be t(9). Suppose -3 - s = -5*a. What is the least common multiple of a and 2?
2
Suppose 2*v = 60 - 40. What is the least common multiple of ((-12)/(-10))/((-3)/(-40)) and v?
80
Suppose 5*q + 24 = 4*t, -t + 31 = 3*q + 2*q. Let g(u) = -u**3 + 5*u**2 - 2*u - 3. Calculate the lowest common multiple of t and g(3).
99
What is the lowest common multiple of 5 and 13 + (-6)/9*(-6)/(-4)?
60
Let l = 3 - -3. Suppose -2*o + 6 = 4*q, 6*q = 2*o + 2*q - l. Find the common denominator of 125*o/18 + -2 and -53/18.
18
Suppose 25 = -2*p + 7*p - b, p - 21 = -3*b. What is the smallest common multiple of 195/52*(-32)/(-6) and p?
60
Let s(w) = 600*w + 7. Let n be s(-5). Let u = -12033/4 - n. Find the common denominator of (4/120)/((-2)/565) and u.
12
Let k = -4/27 - 653/27. What is the common denominator of -103/6 and k?
6
Let s(r) = 2*r + 12. Let t be s(-6). What is the common denominator of t/2 - (-53)/(-20) and -67/2?
20
Suppose -2*d - 2*d - 4 = 0. Let c be d/(2/(-2))*3. Let h(n) = -n**3 + 4*n**2 - n + 3. Calculate the smallest common multiple of 8 and h(c).
72
Let t be ((-2335)/(-100))/((-1)/6). Let o = -141 - t. Calculate the common denominator of 284/(-63) - (-6)/27 and o.
70
Suppose 0*i - 4*b = -i - 8, 4*i - 4*b + 8 = 0. Suppose -5*w + 35 = -i*w. Calculate the least common multiple of 8 and w.
56
Let o = -2969/4 - -6015/8. Calculate the common denominator of -47/34 and o.
136
Let b = 128/61 + 2831/366. Let p = -30953/12 - -2570. Find the common denominator of b and p.
12
Suppose -2*x = x - 27. Let p(t) = -t**3 + 9*t**2 - t + 18. Calculate the lowest common multiple of x and p(9).
9
Let w(o) = o**2 + 2*o - 7. Suppose 4*f = 5*f + 5. What is the lowest common multiple of w(f) and 7?
56
Let l(p) be the first derivative of p**3/3 + 11*p**2/2 - 4*p - 1. Let u be l(-11). Calculate the common denominator of ((-18)/u)/((-9)/12) and -6.
1
Suppose 3*r - 4 = -2*h, -3*r - 16 = -2*r + 5*h. Calculate the least common multiple of r and 3.
12
Suppose -4*h = -4*z, -h + z + 6 = 2*h. Suppose -2*o + h*o = -3*i + 139, 2*o - 8 = 0. Suppose -s - i = -6*s. Calculate the lowest common multiple of 2 and s.
18
What is the common denominator of 77/2 and (-14)/40*(-615)/(-35)?
20
Let u = 2/359 - -5726/3231. Find the common denominator of 19/5 and u.
45
Let u(m) = -2*m**2 + m - 7. Let h = -17 - -12. Let z be u(h). Calculate the lowest common multiple of 1 and (-2)/(-8) - z/8.
8
Let m be 8 + -1*(3 + -1). What is the lowest common multiple of 16 and 25 - ((m - 1) + -2)?
176
Let u be 95597/48 - (-3)/9. Let n = 1993 - u. Calculate the common denominator of n and 89/2.
16
Suppose -5*g - 2*d - 358050 = d, 0 = 3*d. Let w be (449/4)/(g/2080). Let r = w + -8/651. Calculate the common denominator of r and -97/6.
66
Let x = -7446/95 + -312/19. Let g = x - -369/4. Find the common denominator of g and -43/10.
20
Let t = -10933/8 - -1369. Let z = 67929/10 - 6802. Calculate the common denominator of z and t.
40
Suppose -4*p = p. Suppose 0 = 4*o - 5*l - p + 1, -5*o + 2 = -3*l. What is the smallest common multiple of 4 and o?
4
Let j = -32 + 42. What is the lowest common multiple of 36 and j?
180
Suppose 0 = -5*l - v - v - 43, 5*l + 4*v = -41. What is the common denominator of 25/16 and (-12)/l*123/72?
144
Suppose 5*f - 5 = -2*x + 4, 0 = 2*x - 5*f + 1. Let d(c) = 2*c**3 - 3*c**2 + c. Calculate the smallest common multiple of d(2) and x.
6
Let a = 3 + -3. Suppose -5*f = -5*m - 10, -3*m + 6 + 0 = a. Calculate the lowest common multiple of 10 and f.
20
Suppose 0*w + 4*w = 28. Let y = -21 - -33. Suppose -3*i + y = -6. What is the smallest common multiple of i and w?
42
Let r = 2054 + -16399/8. Let k = 8 - 6. Calculate the common denominator of k/(-5)*(-580)/16 and r.
8
Let m be (-2)/3 - 442754/(-84). Let j = 5278 - m. Calculate the common denominator of (110/16)/(10/8 + -2) and j.
42
Suppose o - 11 = -1. Calculate the smallest common multiple of o and (0 + 9/(-6))*-4.
30
Let i = 174187/570 - 5874/19. Find the common denominator of i and -139/6.
30
What is the common denominator of (9 - 4)*(-66)/20 and 103/34?
34
Suppose 2*c + 9 = 3*z - 0*c, 31 = 5*z + 2*c. Suppose -1 = -a + z. Calculate the smallest common multiple of 11 and a.
66
Let y(h) = h - 8. Let a be y(8). Suppose a = -3*x + 5*b + 33, 4*b - 19 = 4*x - 55. Calculate the least common multiple of 6 and x.
6
Suppose 5*y - 3*z + 1 = 3*y, 5*y - 2*z + 8 = 0. Calculate the least common multiple of 2 and 2 + y + 19 + 1.
20
Let j = -124/19 - -3677/380. Find the common denominator of (-10)/(-16)*(-79)/(-10) and j.
80
Let v = -83 + 104. Calculate the lowest common multiple of 21 and v.
21
Let q = 4448596935504076147/529520 - 8401187746463. Let x = 2/33095 - q. Calculate the common denominator of 119/6 and x.
48
Let h be 1 + -1 - (2 + -3). Suppose 4 = 3*j - 38. Calculate the smallest common multiple of 2*(h + -1 - -8) and j.
112
Find the common denominator of (-6)/(-33) - 804/1155 and 59/15.
105
Let q = 53 + -45. What is the smallest common multiple of q and 26?
104
Let n = 17163/8 - 2136. Find the com