What is the common denominator of v and -68/207?
2277
Let f = 843/88 + 1/22. Find the common denominator of f and 107/28.
56
Let q = -186/49 + 189808/50029. Let d = -578693017 + 1181691168277/2042. Let j = q - d. What is the common denominator of 61/2 and j?
2
Let t(v) = -v**2 - 15*v - 25. Let c be t(-13). Calculate the common denominator of -1 + c + -2 + 316/(-24) and 71/22.
66
Let m = -11831051/84 + 140844. Find the common denominator of m and -149/12.
84
Let h = 1 - -11. Suppose -2*a = -4*w - 8, -3*a + 2*w - w = -h. Calculate the least common multiple of 5 + 3 + 4 - a and 16.
16
Let s = -334/5 + 67. Let q = -51 + 45. Calculate the common denominator of s and q*(235/(-50) + 5).
5
Let i(r) = -r**3 + 13*r**2 - 10*r + 135. What is the smallest common multiple of 75 and i(13)?
75
Let y = 34687 - 174056/5. Let h = 472387/3010 + -1632/43. Let k = y + h. Calculate the common denominator of -9/8 and k.
56
Suppose 2*d - i - 20 = -3*i, -3*d = 2*i - 29. Let y = -58 + 64. What is the lowest common multiple of 5/60*118 + 1/y and d?
90
Let u be -1 + (7 - 5)/(4/(-6)). What is the common denominator of -73/2 and ((-2)/u)/(24/(-21))?
16
Let n(p) = -p**3 + 4*p**2 - p - 1. Let h be n(4). Calculate the common denominator of -101/26 and h/2*29/20.
104
Suppose -78 + 24 = -18*b. Calculate the least common multiple of 27 and b.
27
Let j = 4718 - 1646581/349. Let w = 11509/2792 + j. Calculate the common denominator of w and -7 - (6 - 826/35).
40
What is the common denominator of ((9 - 18)/(-729))/((-2)/(-393)) and -7/3?
54
Suppose 0 = 55*r + 147 - 422. Let d(a) = 8*a. What is the lowest common multiple of d(1) and r?
40
Suppose -4*t - 4*x + 2356 = 0, -t - 75 = -4*x - 644. Find the common denominator of (8/198)/(15/t) and -17/27.
297
Suppose -5*x = 2*y - 5*y - 212, -y - 4 = 0. Calculate the lowest common multiple of x and 4.
40
Let o(i) = 5*i**2 + 22*i - 88. What is the lowest common multiple of 92 and o(-12)?
368
Let s = 1/398 + 2381/2786. Let k = 70122 - 220533692/3145. Let t = 97481/22015 - k. Calculate the common denominator of s and t.
7
Let h = 48 + -49. What is the common denominator of (-2)/1 + h - (-17)/4 and -25/34?
68
Let i = -1641634/111 - -14789. What is the common denominator of -68/99 and i?
3663
Let c = -18/47 + -1501/376. Let b be (1528/(-54) + 3)*29/(-71). Let i = b + 2/1917. Calculate the common denominator of i and c.
24
Let b = -57270 + 2748841/48. What is the common denominator of 5 and b?
48
Let u(g) = -2*g**3 + 13*g**2 + 6*g + 9. Let h be u(7). Suppose v = -h*v + 27. What is the lowest common multiple of 12 and v?
36
Let n = -56 - -98. Calculate the least common multiple of 69 and n.
966
Let w = 575 + -335. Calculate the least common multiple of 90 and w.
720
Suppose 0 = -5*v - 130. Find the common denominator of (-190)/(-12) + 1 + 0 and 4/v + (-171)/(-858).
66
Let w be 6/27 + 3203/(-36). Let z = w - -2029/24. Calculate the common denominator of -7/15 and z.
120
Suppose -k = -4*k + 12. Suppose 6*u - 8 = k*u. Suppose -2*s + u*h = 12, -4*h = 4*s - 21 - 15. Calculate the least common multiple of 4 and s.
4
Let y be (-8)/(-6) + 495/(-27). Let w = y + 41. Let h(r) = r - 5. Calculate the least common multiple of h(15) and w.
120
Let z be (2 + -2 + -1)*47. What is the common denominator of (-19)/(-76) - z/8 and 33/8?
8
Let j = 1909/7 - 272. Let f be (-4)/(10/(-2517) - 0). Let p = f - 1011. Calculate the common denominator of p and j.
35
Let z = 76 + -112. Calculate the lowest common multiple of (z/10)/(16/(-40)) and 27.
27
Suppose -8 = -2*i - 2, -3*u = -2*i + 72. Suppose 0 = -4*m - 3*o + 138, 3*m + o - 104 = -o. Let r = m + u. What is the least common multiple of 12 and r?
84
Find the common denominator of 63/2 and (12/(-16))/((-2)/((-516)/99)).
22
Let k(f) = 2*f - 3. Suppose 13 = 5*d - 227. Let z = -46 + d. Calculate the smallest common multiple of z and k(7).
22
Let p = -25478/5 - -1222429/240. Calculate the common denominator of p and 77/48.
48
Calculate the common denominator of 1/120 and 15/60 + (5 + -4)/(-140).
840
Let m(f) = f + 3. Suppose 0 = 3*y - 4*a - 16, 10*a = 5*y + 5*a - 25. Calculate the lowest common multiple of y and m(7).
20
Let s = 247 + -217. Calculate the lowest common multiple of s and 48.
240
Calculate the common denominator of 4/((-288)/(-86)) + 0 and 1/8.
72
Let r = 10186/3 - 30212/9. Let b = -7037/180 + r. Find the common denominator of -37/240 and b.
240
Suppose -4*v + 17 = o - 24, 0 = 5*v + 3*o - 60. Suppose 120 = -5*m + v*m. What is the least common multiple of 3 and m?
30
Calculate the common denominator of -57/16 and ((-3)/12*1)/((-60)/(-1452)).
80
Let t(f) = f**3 - 2*f - 2. Let z be t(2). Suppose z*a - 2 + 32 = 0. Calculate the common denominator of -59/4 and a.
4
Let y = -2138 - -2160. What is the lowest common multiple of y and -2*1/(-4)*8?
44
Suppose c - 1 = -3. Find the common denominator of 5/6 and c/6 + (-3 - (-353)/24).
24
Let r = 263 + -208. Calculate the smallest common multiple of r and 50.
550
Find the common denominator of (4/12)/(1/50) and 6/1 + 4*174/(-264).
33
Find the common denominator of 107/96 and -3 - 2/((-1152)/2187).
192
Calculate the common denominator of -1374*(-6)/432 + (-1)/(-6) and -47/276.
276
Let k be -2 + 4/(16/15369). Let u(a) = 140*a**3 + 3*a**2 + 4*a - 1. Let b be u(3). Let l = b - k. What is the common denominator of l and 15/11?
44
Let n(a) be the second derivative of a**4/4 + 5*a**3/2 - 4*a**2 - 28*a. What is the least common multiple of 12 and n(-6)?
60
Let g = 3917/226 - -1/678. Let k = 5087 - 56000/11. Calculate the common denominator of g and k.
33
Suppose 2*n + 60 = 4*n. Suppose 5*v = -13 + 133. Calculate the smallest common multiple of v and n.
120
Suppose -3*l + 16*p + 143 = 12*p, 0 = -5*p + 5. What is the least common multiple of l and 56?
392
Let p = -137/20 + -27/5. Calculate the common denominator of p and -37/448.
448
Suppose 2*z + i - 19 = 0, 2*i + 10 = -2*z + 26. Let h(u) = -6*u + 1. Calculate the lowest common multiple of z and h(-4).
275
Let m be ((-397)/199 - -2)/(9 - 2). Let p = 22277/15323 + m. What is the common denominator of -13 and p?
11
Let m be 0 - ((-7190)/(-375) + (-2)/(-3)). Let r = 13721/650 + m. Calculate the common denominator of r and 107/14.
182
Suppose 2*p - 26 = 4. What is the smallest common multiple of 29 and 144/p - (-9)/(-15)?
261
Let u = -1/2208 - 55745/15456. Let r be 4/3*(-6)/(-4). What is the common denominator of r + (-2 - (-39)/(-2)) and u?
28
Let j(r) = -3*r - 13. Let s(y) = 7*y + 25. Suppose -1 = 3*q + 11. Let v(l) = q*s(l) - 9*j(l). Calculate the smallest common multiple of 4 and v(11).
12
Suppose -2*b + 5*f + 416 = 2*b, 4*b - 412 = 4*f. Find the common denominator of -37/63 and b/12 + (-1 - 0) + -1.
252
Let l(n) = 6*n**2 - n. Let r be (-3)/12 + (-37)/(-4). Suppose r = -4*w + 4*b - 7, 4*w = b - 7. What is the lowest common multiple of l(w) and 3?
21
Suppose 3*m = -0*x + 2*x + 548, -4*m + 716 = x. What is the smallest common multiple of m and 80?
720
Let l be 4/((-80)/28 + 3). Calculate the smallest common multiple of 4 and 9 - 13 - l/(-1).
24
Suppose -47 = -2*q - 527. Find the common denominator of -37/10 and (-2)/(-5) - (1444/q + 8).
60
What is the smallest common multiple of 7 + (3/(-6))/(8/(-48)) and 4?
20
Let y(l) = l**3 - 2*l - 5*l - 2*l + 5 - 5*l**2 + 3*l. Let m be y(5). Calculate the smallest common multiple of 12 and m*(-5)/((-75)/(-6)).
60
Let o = -1/5660 - -20603/3396. Find the common denominator of (-82110)/(-44100) + (-2)/21 and o.
30
Let z = -554 - -562. What is the lowest common multiple of z and 2018?
8072
Let l = -668271/20 - -176279/5. Suppose g - 5*j = -1885, -j - 9309 = 5*g + 3*j. Let n = g + l. What is the common denominator of -15/11 and n?
44
Suppose -2*d + 0*d - 18 = 5*t, -5*t = d + 19. What is the lowest common multiple of 2*d + 6 + 4 and 8?
24
Let r = 29 - 11. What is the lowest common multiple of -16*(10/(-25) - (-77)/(-20)) and r?
612
Calculate the smallest common multiple of 832/14 - 4/(-7) and 6.
60
Calculate the common denominator of -18/55 and -107*16/(-220) + -8.
55
What is the least common multiple of 29 and (-62)/(-8) - (2 - 10/8)?
203
Let q be (1 + -3)/(20/(-150)). Suppose 3*x = 4*x - q. Suppose 2*l = -4*p + 16, -3*l + x = 2*p - 9. What is the smallest common multiple of l and 8?
8
Let p = 4256896