and (-840)/14700 + 4738/840?
81324
Let o = 14925 - 223966/15. Find the common denominator of -4 - -578*(-4)/(-456) and o.
285
Let y = -67 - -127. Let f = -2/12159 - 29515/85113. What is the common denominator of f and y/20 + (-44)/(-3)?
147
Suppose -6*i = -w - i - 108, 0 = 2*w - 2*i + 240. Let u = w - -51. What is the common denominator of 31/18 and (-9 + (-135)/u)/((-15)/4)?
90
Suppose -5*a + 0*a - 5*r = 0, -5*r = 25. Suppose -x - 3 + 7 = 3*l, 0 = a*x + 2*l - 20. What is the smallest common multiple of 10 and x?
20
Let u be (-157337073416)/(-2300)*1/(-3). Let p = 22802476 + u. Let h = p + -2/75. Calculate the common denominator of 101/4 and h.
92
Let y = 880392/5 - 482454697/2740. What is the common denominator of y and -39/22?
30140
Find the common denominator of 37526/12180 - 1/5 and -2 + ((-112)/(-9) - 3).
126
Let h = 45/164 - 3001/7052. What is the common denominator of h and 40/8 - ((-40)/(-35) + 1)?
602
Let t = 219579/35990 - 4/3599. Let z be 45/(-35) - (-2)/7. Find the common denominator of t and (-329)/(-14)*z/60.
120
Let v = -21/26 - 395/702. Let k = -2980/9 + 8911/27. What is the common denominator of k and v?
27
Let z = -22/10031 - 589717/962976. What is the common denominator of z and (-231)/27 - (-1)/2?
288
Suppose 3*z + g + 2 + 0 = 0, 3*z - 5*g + 8 = 0. Let i(w) = -8*w + 107. Let u be i(14). What is the lowest common multiple of u*(z + 21)/(-4) and 2?
50
Let i = 14 + 40. Suppose -o - 3*h = -6*o + i, -o - h = -14. Suppose s = -s + o. Calculate the smallest common multiple of s and 10.
30
Let o = 542 + -522. Calculate the common denominator of -1/11 and ((-105)/o)/7 + (-3087)/(-3876).
3553
Let x = -37610825/15912 - -30728/13. What is the common denominator of x and 31/51?
1224
Let s = -13 - 37. Let p = s - -54. Calculate the lowest common multiple of 5 and 1/2*(3 + p)*2.
35
Calculate the common denominator of (-340)/(-168) + (4 - 7) and (-18)/10 + (-58)/(-29) + (-122)/(-240).
168
Suppose 4*u + 8 = -2*k - 0*u, 4*k + 2*u = 2. Suppose -3*l - m = -26, -m + k*m + 6 = l. Calculate the lowest common multiple of 4 and (-4)/16 - (-98)/l.
12
Let y be 6/4*-2*(-40)/24. Suppose 0 = i - 2*c - 4, -y*c = -0*c. Calculate the lowest common multiple of 40 and i.
40
Let g = -2/2523 - 209377/40368. What is the common denominator of -9/3794 and g?
30352
Suppose -3*g - 5*j + 29 = 0, 2*j = 4*j - 2. Let f = 7 + -5. Let t(w) = -w**3 + 2*w**2 + 3*w + 2. What is the lowest common multiple of g and t(f)?
8
Suppose v = -2*o + 35, 0*o - 2*o = 2. Let b = 45 - v. Calculate the least common multiple of -2 + 194/b + 11/(-44) and 2.
22
Let r = 77231/3 + -27227. Let k = -2547 - -4051. Let d = k + r. Calculate the common denominator of 5/7 and d.
21
Suppose -16 = -4*p - 0. Let g(k) = 9 - 4*k - 12 + 21*k**2 + 6. Calculate the least common multiple of g(1) and p.
20
Let s(g) = 13*g - 17. Suppose -6*v + 3*h + 180 = v, 68 = 3*v + h. Calculate the lowest common multiple of s(2) and v.
72
Suppose -50 = -t - 132. Find the common denominator of (-249)/4*(-6)/(-207) and (-27)/60*t/3.
230
Suppose -3*g + 486 = 51*g. Calculate the least common multiple of g and 245.
2205
Let h be 2046/(-18) - (-24)/36. What is the common denominator of (h/(-16))/((-9)/2) and -53/16?
144
Let n(m) = -m**2 - 12*m - 8. Let z be n(-8). Suppose z = g + g. Calculate the least common multiple of g and (41/((-4428)/(-729)))/((-12)/(-16)).
36
Suppose -x + 2*x - 8 = 0. Suppose 0 = 3*u - 27, -27*v + 25*v = u - 25. What is the smallest common multiple of x and v?
8
Suppose 3*a - a = 10. Suppose 4*k + a*x = 141, -3*x = -7*x + 20. Calculate the smallest common multiple of 8 and k.
232
Let p = -18/367 + 6599/7340. What is the common denominator of 63/2600 and p?
2600
Calculate the common denominator of -3*(-2 - -3) + 123/20 and 16/40 + (67905/18800)/(-9).
3760
Suppose 9*o + 27487 = 29242. Let y(t) = -t**2 - 9*t + 4. What is the lowest common multiple of y(-9) and o?
780
Suppose 5*u - 3262 = -o, -2*o + 2*u = 11*o - 42473. Calculate the smallest common multiple of 1 and o.
3267
Suppose -l - 12353 = -d, -4*l + d - 61761 = l. Let q be 10/16*4939780/250. Let i = l + q. Find the common denominator of -39/11 and i.
220
Suppose 46*a - 44*a = 0. Let s be 8/24*(a - 0). Calculate the common denominator of 17/11 and (64/(-40))/(s - 2*-1).
55
Suppose -12 = -4*y - 4. Suppose 258 = z - i, -1028 = -13*z + 9*z + 2*i. What is the least common multiple of z and y?
256
Let z(o) = -o**3 + 28*o**2 + 43*o + 1598. Calculate the smallest common multiple of z(31) and 1152.
1152
Suppose 3 = -7*j + 4*j. Let i be (2 - j - 2) + 6. What is the common denominator of (-16)/32*(-4)/i and -59/9?
63
Let p = 317491 + -154935551/488. Calculate the common denominator of -50/2013 and p.
16104
Let t(j) = 2432*j + 4632. What is the least common multiple of t(5) and 9?
151128
Suppose -7*v - 34 = -104. Let j = -38 + 32. Let z(r) = r**3 + 6*r**2 + 2. What is the smallest common multiple of z(j) and v?
10
Suppose 4*g - 449 = -441. What is the lowest common multiple of 65*g/5 - -3 and 3?
87
Let q = -98576/635805 + 1/8955. What is the common denominator of q and -45/122?
8662
Suppose 3*j - 1183 = 4*l, -8*l + 4*l - 1189 = -j. Let q = l + 300. What is the smallest common multiple of ((-2)/4)/((-2)/44) and q?
22
Let j(n) = -73*n + 440. What is the lowest common multiple of j(2) and 84?
588
Let q(d) = 9*d - 98. Let o be q(17). Suppose o*w + 6 = 56*w. What is the lowest common multiple of 12 and w?
12
Let f = 32890/51 - -177827/476. Let n = -4083/4 + f. What is the common denominator of n and 21/16?
336
Suppose l = -5*x - 2417, 0*l + 9596 = -4*l - 2*x. Let r be 8/(-6)*l/2. Let y = -22359/14 + r. Find the common denominator of 19/9 and y.
126
Let y = 15182174 - 318962804/21. Let v = y + 6527. What is the common denominator of v and 12/49?
147
Suppose 0 = -14*n + 19*n - 3*l + 18, 2*l - 14 = 4*n. What is the lowest common multiple of 192 and (-22)/(n + 1/1)?
2112
Suppose -22 = 26*i + 186. What is the common denominator of -29/6 and (5 - -3)/i - 59/(-30)?
30
Let h = 181645633/35910 - 177043/35. Find the common denominator of 111/70 and h.
35910
Let o = 20788 + -20784. What is the lowest common multiple of 189 and o?
756
Let r = -968 - -1364. Find the common denominator of (-519)/18 + (4/3 - 1) and -3*42/9*(-39)/r.
66
Let j = 5625 + -4570. What is the smallest common multiple of j and 5?
1055
Suppose 0 = -11*g + 5*g + 234. What is the common denominator of 4 and (7/14)/(2/g)?
4
Calculate the smallest common multiple of 228/21*(-8 - -85) and 220.
4180
Suppose -19*h - 44174 = -50900. What is the least common multiple of h and 171?
20178
Let b = 8 + -17. What is the common denominator of (b - 1)*49/28 and 4/18 - ((-3682)/1008 + 3)?
8
Let h(f) = 447*f - 3562. What is the smallest common multiple of h(8) and 170?
1190
Suppose -2*m + 318 = 5*p, 0 = -7*p + 4*p + 4*m + 170. Let r = 23 - 18. Suppose p = r*n + 12. What is the lowest common multiple of n and 38?
190
Let d be (-14394)/4 - 2/4. Let a = d + 39615/11. Find the common denominator of (91/(-140))/((-96)/1440) and a.
44
Let s(g) = -13*g**3 + 2*g**2 - 1. Suppose -1 = -3*m + 2*m. Let c be s(m). Calculate the common denominator of 57/52 and 5/(-30) - (-15)/c.
156
Let h = -136 - -235. Suppose -15*u = -24*u + h. Let d = 37 + -31. What is the smallest common multiple of d and u?
66
Let x(z) = -z**2 + 12*z - 13. Let q be x(9). Suppose 16 = q*d - 40. Suppose -2*h = -8 + d. Calculate the least common multiple of 134 and h.
134
What is the common denominator of -91/50 and -8*306/(-1440) - 10?
50
Let y(n) be the third derivative of n**5/60 - n**4/12 - 20*n**3/3 - 3*n**2 - 24*n. Calculate the smallest common multiple of 150 and y(8).
600
Suppose 2*y + 3 = 5. Suppose -6 = -3*c + c, -2*o = -c - y. What is the lowest common multiple of (3/o)/((-2)/(-36)) and 3?
27
Let h(k) = -k**2 + 12*k - 19. Let x be h(6). Let s = x - 14. Suppose 0 = -4*y - s*y + 168. Calculate the least common multiple of 3 and y.
24
Let y = 10256 + -10239. Calculate the lowest common multiple of 1717 and y.
1717
Let h be (((-3069)/(-36))/(-11))/((-2)/(-8)). Let d = 40 + h. Calculate the least common multiple of d and 82.
738
Let a be (5/5)/((-909)/42). Let c = a - -995/404. Find the common denominator of c and (1/18)/((-32)/(-3984)).
12
Let t = 51071075/12 + -