m + -873/116. Find the common denominator of -17/10 and j.
10
Suppose 0 = 2*h + 5*o - 195, 16*o = -5*h + 19*o + 503. Calculate the least common multiple of 260 and h.
1300
Calculate the common denominator of 123/70 and (9 - 0)*(1392/18)/29.
70
Suppose 0 = -106*f + 12*f + 2914. Calculate the lowest common multiple of f and 899.
899
Let f = -6011 - -793403/132. Let q = -356/33 - f. Calculate the common denominator of -43/36 and q.
36
Suppose b = 4*f + 624, 5*b + f - 3048 = -3*f. Calculate the smallest common multiple of b and 8.
1224
Let a(m) = -32*m + 4. Let h be a(2). Calculate the lowest common multiple of ((-36)/8)/(5/h) and 24/108 - 88/(-9).
270
Suppose -5*h - 35 = r, 25 = -2*r - 3*r. What is the least common multiple of -1 - (3/h)/((-2)/(-44)) and 8?
40
Calculate the smallest common multiple of ((-22)/(-8))/((-7)/(-140)) and (594/(-25))/(-3) - 346/(-4325).
440
Suppose 0 = -5*y - 5*m - 16115, 3*y - 19*m + 9667 = -21*m. Let v = y - -12957/4. What is the common denominator of v and -17/228?
228
Suppose -13*f + 79 + 12 + 104 = 0. Calculate the least common multiple of f and 1845.
1845
Suppose 2 = -n, -t = 6*n - 7*n - 10. Suppose 14*c = 20 + t. What is the least common multiple of c and 2?
2
Let g be 7 - (-5 + 2307385/127200). Let j = -11/1696 - g. What is the common denominator of j and -79/24?
120
Suppose 0 = -13*b + 6004 - 4249. Calculate the smallest common multiple of 50 and b.
1350
Suppose 4*p + 3 = t, 3*t + p + 0 = 35. What is the least common multiple of t and 1695?
18645
Let j = 281 + -277. Suppose -t = 2*t + z - 367, -238 = -2*t - j*z. Calculate the smallest common multiple of t and 24.
984
Let a(q) = -q**3 - 25*q**2 - 8*q + 40. What is the lowest common multiple of 432 and a(-25)?
2160
Let a be (-1 + 2)/(-3*(-6)/(-594)). Let g be 2/(-8) + (-33262)/8. Calculate the common denominator of 85/14 and (g/(-44))/(0 + a).
154
Let f = -211813/18 + 11775. Find the common denominator of 150/(-12) + (-15 - 15/(-3)) and f.
18
Suppose 3*y + 1294 = 334. Let z = 765 + -780. What is the least common multiple of 8 and y/(-150) + 2/z?
8
Let s(n) = -n**2 + 28*n. What is the lowest common multiple of s(25) and 270?
1350
Suppose 2*f + 18*h = 14*h + 12, 5*f + 3*h - 37 = 0. Suppose 4*k - 20 = 0, 2 = -2*p - 2*k + 4*k. What is the lowest common multiple of p and f?
8
Let y = -424 + 428. What is the lowest common multiple of y and 487?
1948
Find the common denominator of -3/100 and (-664365)/3878550 - (8/(-36))/(3 + -1).
22100
Let a(j) = 5*j**3 + 2*j**2 + 2*j + 1. Let h be a(-1). Let x = -551 + 552. Calculate the lowest common multiple of 7/4 - x/h and 16.
16
Let z be (-4580)/(-24) - (-2)/(-6). Let w = 194 - z. Calculate the common denominator of ((-2)/(-4))/((-6)/(-438)) and w.
2
Calculate the common denominator of -11/1160 and (-34)/20 + 44/(-176).
1160
Let d(t) = 2*t**3 + 14*t**2 - 25*t + 5. What is the lowest common multiple of d(2) and 156?
1404
Let x = 196 - 171. What is the common denominator of x and -1 + (-54)/(-48) + 3?
8
Let p = 10/67 - 5393/670. Calculate the common denominator of 2/72*79*2 and p.
90
Let a be (-28)/(-21) - (-1240174)/(-30). Let g = -41468 - a. Let p = 4261/30 + g. Calculate the common denominator of 13/7 and p.
42
Find the common denominator of -101/72 and ((-135)/(-15))/(-27) - (8270/(-3504) - -2).
5256
Suppose -36*r - 162 = -4194. Calculate the smallest common multiple of 19 + 2/((-10)/15) and r.
112
Suppose 17*n = 20*n + 6. What is the common denominator of (-2685)/(-2200)*n + 6/10 and 17/44?
44
Let p = 4 - 58. Let z = 10 - p. What is the common denominator of ((-42)/z)/((-6)/4) and 97/8?
16
Let r = 160094/15 - 10677. Let y be (-3 - 50505/(-10)) + (-2)/(-4). Let i = y - 30389/6. Calculate the common denominator of i and r.
30
Suppose -2*z + 2*q - 1086 = 0, z + z = -4*q - 1068. Find the common denominator of (-4)/6 + (-1750)/z and 151/6.
54
Suppose 20 + 12 = 8*k. Suppose n = 2*q + 6, k*q - 3*n = 2*n - 12. Calculate the common denominator of 1 + 58/(-36) + q + -2 and -71/3.
18
Suppose -46*l + 47*l = 20. Let u(s) = 3 - 23*s**2 + s**3 + 14*s + 38*s**2 - 29*s**2. What is the least common multiple of u(13) and l?
80
Let h(u) = -u**2 - 16*u + 114. Let n be h(5). Find the common denominator of n/15 - 231/(-528) and -109/40.
80
Let z(t) = 7*t**3 - t**2 - 10*t - 42. Calculate the least common multiple of z(5) and 4.
1516
Let z(d) = -9*d**3 + 10*d**2 - 3*d + 63. Let q(i) = 5*i**3 - 5*i**2 + i - 32. Let g(m) = 7*q(m) + 4*z(m). Calculate the lowest common multiple of g(5) and 22.
66
Let z = -11876 + 15698. Calculate the smallest common multiple of z and 6.
3822
Suppose u - 61*k + 57*k = 1, -u - 5 = -k. What is the smallest common multiple of 16 and (12/4)/21 - 559/u?
80
Let k be (-4609)/77 - 1/7. Find the common denominator of -149/48 and ((-303)/8)/((-405)/k).
144
Suppose x - 18 = -2*n - 3, -25 = -2*n + x. Suppose 15*p - n*p - 5*s - 105 = 0, 51 = 3*p + s. Calculate the lowest common multiple of 15 and p.
90
Let p = -481/2 + 261. What is the common denominator of ((-6)/3)/(420/3)*-72 and p?
70
Let x = -2125369/857296 + -2/160743. Calculate the common denominator of x and -15/68.
816
Let o = 14701 + -3780. Let r = -33385499/3057 + o. Let l = r + -131435/24456. Calculate the common denominator of -85/6 and l.
24
Suppose -67 = -5*p + 128. Let i = p - 16. Calculate the common denominator of 59/3 and (1599/(-52))/(i/4) + 4.
69
Suppose 0 = -3*t - 4 - 8, 1062 = 5*p + 2*t. What is the smallest common multiple of p and 4?
428
Let f = 10 - 6. Suppose -m = 5*j + 21, m - 8 = -3*m + 3*j. What is the smallest common multiple of f and (6 - (-5 + 10))/(m/(-8))?
8
Let o = -5162 - -5261. Suppose 0 = s - 5*h - 31, 0 = 5*s + 4*h - 9 - 1. What is the lowest common multiple of o and s?
198
Let a be ((-6)/4)/((-66)/44). Let i(g) = g**2 - 4*g - 3. Calculate the smallest common multiple of i(7) and (a - -1)/((-4 + 5)/10).
180
Let a = 4407/1540 - -34/385. What is the common denominator of a and 0 - -1 - 756/320?
80
Suppose 0 = -m + 444 - 153. Let u = -10475/36 + m. Calculate the common denominator of -59/48 and u.
144
Suppose -4*v + 1766 + 1690 = 0. Suppose -863*i - 32 = -v*i. What is the smallest common multiple of 40 and i?
160
Suppose -5*j + 888 = -2*j - 3*o, 0 = 5*j + 3*o - 1512. What is the smallest common multiple of j and 4?
300
Let h be ((-20)/16)/((-10)/40). Calculate the common denominator of 88/105 and 13 - (-4199)/(-585) - (h + 0).
315
Suppose 0 = 4*s - 5*g + 11506, 3*s + 2*g = 6*g - 8629. Let i = -28867/10 - s. Let m = -225997001/37150188 + 2/3095849. Find the common denominator of m and i.
60
Let s(r) = 3*r**3 - 5*r**2 + 9*r - 2. Let v = 23 - 21. Calculate the lowest common multiple of 304 and s(v).
1520
Let p = -231866 - -203810248/879. Find the common denominator of 3/10 and p.
8790
Suppose -29*q = -32*q - 258. Let z = -83 - q. Suppose -z*v = -71 - 28. Calculate the smallest common multiple of 9 and v.
99
Let w = -95069/58986 - -2/3277. Let v be 32/(-168)*(-7190)/(-8). Let m = -172 - v. What is the common denominator of m and w?
126
Let c(i) = 6*i + 48. Let v be c(-7). Suppose -o - 3*d = -5*d - v, 3*d = 3*o - 21. What is the lowest common multiple of 7 and o?
56
Let d = 13/24 + -101/120. Let j = 4345/7 - 4376/7. What is the common denominator of j and d?
70
Suppose 641*w + 626*w + 297 = 1278*w. Calculate the lowest common multiple of 10494 and w.
31482
What is the lowest common multiple of 29 and (13 + 31)/4 - 4?
203
Let v(j) be the second derivative of j**5/20 + 5*j**4/6 + 5*j**3/3 - 27*j**2/2 + 18*j. What is the lowest common multiple of 3 and v(-8)?
21
Let o = 488302/51 - 9573. Calculate the common denominator of o and 103/258.
4386
Calculate the common denominator of 8386/(-3528) + (-39)/91 and 89/660.
1980
Let z(y) = -13*y - 93. Suppose 40*u = -7*u - 517. Calculate the least common multiple of 135 and z(u).
1350
Let q = 909 - 573. What is the smallest common multiple of q and 336?
336
Let f = 13805 - 13518. Calculate the least common multiple of 2911 and f.
20377
Suppose -7*c = -2*c - 155. Let p = 1 + 0. Find the common denominator of c/p*(-6)/(-36) and 27/8.
24
Let o be (-2 - 35/(-15))*12. Suppose -d + 26 = -0*d - o*n, -20 = -5*d - 2*n. What is the smallest common multiple of 6 and d?
6
Let h = -179308 + 125044. Let g = h + 10310061/190. Fi