3447. Let j = -3799/420 - i. Find the common denominator of j and 79/60.
60
Let h = 20989/3420 + -340/57. Find the common denominator of -127/132 and h.
1980
Let m = -19927 + 4463625/224. What is the common denominator of 101/144 and m?
2016
Suppose 0 = -3*g + 6, -3*q + 14 = g + 3*g. Suppose 16 = b - j, 1 = q*j + 3. Suppose b = -6*m + 75. What is the smallest common multiple of 12 and m?
60
Let s = 870/19 + -12587/228. Suppose -4*d - 6 = -2*d - 2*m, 0 = 3*d + 2*m - 11. Find the common denominator of d/(-3) + 22/84 and s.
84
Let x = 7807929/530 - 14732. What is the common denominator of x and 21/2?
530
Suppose 2 = -y + 5. What is the least common multiple of (-247)/(-13) + (-7)/1 and y?
12
Suppose -2*t + 1 = 29. Find the common denominator of 2452/224 + (-6)/t and (6/30)/(6/185).
24
Let p = 61 - 122. Let y = -29 - p. What is the least common multiple of y and 11?
352
Let o(c) be the third derivative of c**6/15 - 2*c**3/3 + 3*c**2. Let q be o(-3). What is the common denominator of 25/14 and 4 + -1 - (-1570)/q?
154
Let p = -7843/4 - -1977. Let l be (-1143225)/(-567) - 2/(-7). Let z = -2024 + l. What is the common denominator of p and z?
36
Suppose 0 = -4*z + 4*m - 48, 0*z = 3*z - 5*m + 40. Let p be (40/45)/((-1)/(-18)). Let a = z + p. What is the least common multiple of a and 4?
12
What is the least common multiple of (3/2)/(60/3000) and 3?
75
Suppose 5*d - w - 24 = 0, -25*d - 2*w + 8 = -21*d. What is the lowest common multiple of d and 4/14 - 1168/(-28)?
84
Let v be -3 + 5 + 64/(-2). Calculate the common denominator of -22*27/v*(-30)/24 and -9/10.
20
Let m = 1335 + -1308. Calculate the smallest common multiple of m and 357.
3213
Find the common denominator of ((-136)/96)/((-2)/(-16)) and -25/4.
12
Let d(k) = -3*k**2 - 15*k - 9. Let q be d(-6). What is the common denominator of ((-50)/(-48))/(18/q) and -85/2?
16
Let h(x) = -x - 2. Let c be h(-4). Suppose 22 = 2*v - c. What is the lowest common multiple of 33 and v?
132
Calculate the common denominator of ((-385)/(-18))/7 + 129/(-86) and 24/23.
207
What is the lowest common multiple of -12 + 80 + -16 + 8 and 24?
120
Let g(f) = -f**3 - 6*f**2 + 4*f - 10. Let v be g(-7). Let k = -17 + v. Calculate the common denominator of (k/(-52))/(12/(-316)) and 7/4.
52
Let v = 824 - 352. What is the smallest common multiple of v and 10?
2360
Let t = -126224225/18 + 7002666. Let v = -9786 - t. Calculate the common denominator of v and 115/12.
36
Let q = -517/38 - 36/19. Let x be (5/3)/((-1)/(-996)). Let t = -10025/6 + x. Calculate the common denominator of t and q.
6
Let n(c) = c**2 + 16*c - 279. Calculate the smallest common multiple of n(13) and 28.
196
Let s = -2321/4 - -595. Find the common denominator of s and -35/216.
216
Let g = -116 + 115. Calculate the common denominator of 103/28 and 4 + -226*g/(-28).
28
What is the common denominator of -55/14 and 2260/1320 + 2*3/18?
154
Let p be 1116/50*(16140/(-16))/(-3). Suppose -5*t - 37564 = -3*b, 5*b + 4586 - 19604 = 2*t. Let i = t + p. Find the common denominator of 45/8 and i.
40
Let l(z) = -2*z + 2. Let s be l(-10). Let x = s - 11. Suppose -r + 0*u - u + 5 = 0, 4*u - x = 5*r. What is the smallest common multiple of r and 6?
6
Let w(f) = -2*f**2 + 63*f + 132. What is the least common multiple of 500 and w(32)?
500
Suppose -24696 = 4*o - 9292. Let z = 296533/77 + o. What is the common denominator of z and -1/5?
385
Let o be (20/(-8) + 1)*(-336)/2. Let k = -1603/10 + 160. What is the common denominator of k and 14/o*3*137?
30
Suppose -121 + 721 = 15*k. What is the lowest common multiple of k and 12?
120
Let w = -119/6054 - 4648199/954514. Let l = 26/129 - w. Find the common denominator of (-410)/(-8)*12/50 and l.
110
Let o(x) = 2*x**2 + x + 4. Let q = 22 - -50. Let k = -50 + q. What is the smallest common multiple of o(4) and k?
440
Let l = -132364/7 - -160157087/8470. Let y = l + -8/605. Find the common denominator of 57/8 and y.
88
Let z = 4 - 3. Calculate the common denominator of ((-142)/10 - -1) + z and 1 + 0 - (-1 + (-230)/(-16)).
40
Let r(b) = b**3 + 14*b**2 - b - 16. Let n be r(-14). Let j(q) = 3*q**2 + q - 4. Calculate the lowest common multiple of 2 and j(n).
6
Suppose 13*q = -7*q + 3480. What is the smallest common multiple of q and 48?
1392
Let c be (-59806)/(-1140) - 18/12*-2. Let s = -967/19 + c. What is the common denominator of -19/24 and s?
120
Let r be (-6)/11*(-45)/4. Let c = -1377/418 + r. Find the common denominator of -2/9 and c.
171
Let a = 20509 + -656349/32. What is the common denominator of a and (647/(-210) - 2) + 9/((-135)/2)?
224
Suppose -4*m - 2*w + 6 = -4, 0 = -3*m - 2*w + 6. Calculate the smallest common multiple of (6/m + -2)*-22 and 3.
33
Let v = -29 + 55. Suppose 0*s + 3*k - v = -2*s, -20 = -5*k. Let h = -6 + 8. What is the smallest common multiple of h and s?
14
Let g(b) = b**3 + 2*b**2 + b. Let o be g(-1). Let d be (852 - (0 + o))*3. Let t = d + -23050/9. Calculate the common denominator of t and -29/10.
90
Let t = 238 - 154. What is the least common multiple of 132 and t?
924
Let f be 51/7 - 20/70. Suppose 4*g + f = 527. Find the common denominator of (3 - 2) + g/44 and 95/28.
308
Suppose -5*h + 96 = n + 18, 0 = -4*n - 2*h + 222. Suppose 3*b + 45 = 5*r, -3 + n = 5*r - 2*b. What is the least common multiple of 21 and r?
84
Let m be (-3 - (-76)/12)*3. Suppose 2*d - 16 = q, -4*d + m = -3*d - q. Calculate the least common multiple of d and 3.
6
Let j be (-1)/((-3 + 2)*-1). What is the common denominator of -51/8 and (27/12)/((-58)/34 - j)?
16
Suppose 2*h - 83 = -2*h + n, 8 = h + 4*n. Calculate the smallest common multiple of 312 and h.
1560
Suppose -h + 2*h = p, -5*h = -2*p - 15. What is the lowest common multiple of 30 and p?
30
Find the common denominator of 33/124 and ((-634)/(-336) - (-172)/301)*3.
248
Let n = -8031 - -216790/27. Find the common denominator of -61/9 and n.
27
Let i(v) = v**3 + 21*v**2 + 20*v + 22. Let q be i(-20). Let k = -2 + q. What is the least common multiple of k and 12?
60
Let u = 1758405/4 + -437432. Let r = u - 2157. What is the common denominator of 6*(4 + (1869/48)/(-7)) and r?
8
Calculate the common denominator of 16/55 and 4310/(-2400) + 3/9.
880
Suppose -4 = -2*b - 0*b. Let f = b - -7. Suppose 3*i = 4*s + 33, -i - f = -4*i - 4*s. What is the lowest common multiple of 4 and i?
28
Let w(a) = a**2 + 7*a + 14. Let i be w(-4). Suppose -7*j + 5 = -i*j. Find the common denominator of 43/2 and ((-46)/18)/j*1.
18
Let r be (49 + 1)*(-2 - (-6 + 5)). Let q = -38 - r. Calculate the lowest common multiple of q and 1.
12
Let a(j) = j**3 - 14*j**2 - 16*j + 19. Let k be a(15). Find the common denominator of k/144*(-303 - -1) and -75/16.
144
Suppose -28 = 5*m + 5*z - 113, 0 = m + 5*z - 21. Let c be (-2430)/4 + m/64. Let x = -7477/12 - c. Find the common denominator of -91/16 and x.
48
Let l(o) = -o**3 - 7*o**2 - 1. Let n be l(-7). Suppose 11 = 4*c - 17. What is the lowest common multiple of ((-60)/(-18))/(n/(-3)) and c?
70
Let z = -2302/7 + 174455/532. Calculate the common denominator of z and -36/209.
836
Let b(u) = 2*u - 20. Let k be b(6). Let m = k + 11. Calculate the smallest common multiple of 1 and m.
3
Let d = 1281/10 + -21044/165. What is the common denominator of d and 119/10?
330
Let h be (-108)/(-12) - (3 + 1). Let d be 4/h + (-208)/10. Calculate the common denominator of -113/14 and (-12)/(-90) - 89/d.
84
Let j(v) = -v**2 - 26*v - 72. Let s be j(-23). Find the common denominator of 1/s*((-721)/14 + 7) and 29/27.
54
Let t be (-565909)/562 - 0/(-6). Let x = 128/281 + t. Let a = -1027 - x. What is the common denominator of a and 69/22?
22
Suppose v = 7*v + 89778. Let t = v - -239499/16. Find the common denominator of t and -59/4.
16
Let u = 2898 + -29007/10. Calculate the common denominator of (-6)/14*(-11)/(-3) and u.
70
Let c = -2745/101 + 939793/33936. What is the common denominator of c and 61/12?
336
Find the common denominator of (-1 + 34/20)*31/(-62) and (3/(-1))/(-12) - 13.
20
Let m = -43 + 45. What is the common denominator of -24 and (m + 1)*4/(180/(-111))?
5
Let p = 1495/3 - 521. Let f = 1114/9 - 12332/99. Calculate the common denominator of p and f.
33
Suppose -108 = -5*z + 2*z. Suppose 4*t - t - z = 0. Suppose -6*a = -5*b - 5*a + 83, -3*b - 5*a + 33 = 0. What is the smallest common mult