minator of ((-1422)/k)/(27/36) and 562/24 + 4/12.
4
Suppose -5*c = -6*c + 5. Suppose -c*j = 2*j. What is the common denominator of 29/12 and j - ((-36)/120)/((-12)/850)?
12
Suppose -542 - 983 = -5*f. Suppose 0 = -3*w + 193 + f. What is the smallest common multiple of w and 16?
1328
Let z = 1128715 + -9076559/8. Suppose 0*k - 64493 = -11*k. Let a = z + k. What is the common denominator of a and -19/22?
88
What is the common denominator of 89/396 and ((-89)/(-20))/(1 + (-518)/56)?
1980
Suppose 0 = -17*j + 15581 - 10001 + 22504. Calculate the least common multiple of j and 77.
18172
Let q = 11808 + -10687. Calculate the least common multiple of q and 38.
2242
Let d = -191 - -205. What is the common denominator of -19/10 and d/6*264/400?
50
What is the least common multiple of 1768 and (-21)/(-63)*-13*-51?
1768
Suppose -27*f + 20820 = -24. Calculate the least common multiple of 12 and f.
2316
What is the least common multiple of 141 and ((-216)/42)/(-6)*329?
282
Let x(q) = -q**3 - 25*q**2 - 27*q - 53. Let f = -1 + 60. Let a = f - 83. Calculate the lowest common multiple of x(a) and 5.
95
Calculate the common denominator of (-43435)/(-3212) - (-72)/(-6) and 26/96 - (-1)/(-4).
528
Let g(d) = -d**2 - 2*d + 4. Suppose 3*f - 1 = -4*z, -4*f = 5*z - 2*f + 4. What is the smallest common multiple of 11 and g(z)?
44
Let w = 9928991815/2924 - 3395688. Calculate the common denominator of w and -59/16.
11696
Let u(i) = 13*i**2 - 11*i + 46. Calculate the lowest common multiple of 12 and u(14).
7320
Let u(n) = n**3 + 10*n**2 + 15*n - 5. Let i be 22/(14/2 - 5). Suppose -2*a = 3*q + 22, q - 4*a + i = -1. What is the least common multiple of u(q) and 34?
102
Let w(h) = h**3 + 19*h**2 + 19*h + 24. Let l be w(-18). What is the lowest common multiple of 132/(-18) - -6 - (-3584)/l and 16?
2384
Suppose 3*c + 3 = 0, 5*l = l + c + 7165. Let y be 1 + (l/(-444) - -3). Let k = y - -565/296. Find the common denominator of 119/18 and k.
72
Calculate the common denominator of (-3435)/630 - 3 - (-1 + -6) and 29/332.
6972
Let o = -9648797/2907 + -41/5814. Let t = o - -3328. Find the common denominator of t and -21/64.
192
Suppose 3*h = -h + 288. Suppose 46 = -15*w + 121. Suppose 0 = w*c - 12*u + 15*u + 7, c = -2*u - 7. Calculate the least common multiple of h and c.
72
Suppose 25*i - i + 24 = 0. Find the common denominator of (i/(-18))/(70/2814) and -32/3.
30
Let c(k) = -k**2 + 25*k. Let h be c(10). Let b = h - 143. Calculate the smallest common multiple of b and 13.
91
Let i be (-4 - -10) + (2 - -2). What is the common denominator of -113/12 and (i/((-160)/(-186)))/3?
24
Suppose 0 = -3*k - q - 161 - 71, -5*k = -4*q + 415. Let o = 2/37045 + -90393/59272. What is the common denominator of 1*(-6)/(-96)*k + 5 and o?
80
Let y = 221 - 197. Suppose 0 = -4*g + 12 - 4. Suppose 2*d - 2*v = v + 5, 0 = g*d - 5*v - 3. What is the smallest common multiple of y and d?
24
Suppose -360 = -t + 3*i, -42*t + 41*t + 344 = 5*i. What is the lowest common multiple of t and 1062?
1062
Let c = -254/20265 - -3/386. Let h = -3945787/60 - -65760. Calculate the common denominator of h and c.
420
Suppose 0 = 3*u - 2*u + 3, 0 = 4*t - 5*u - 23. Suppose -t*r - 6 = 0, -r = 3*c + 6 - 69. Suppose 5*m - c = -6*m. Calculate the least common multiple of m and 22.
22
Suppose -2*k - 6 = -0*k, 3*k + 21 = j. Calculate the smallest common multiple of (-229)/(-2) + 10/(-4) and j.
336
Let l = 1962 + -1930. Calculate the lowest common multiple of 36*7/((-21)/(-6)) and l.
288
Find the common denominator of 99/62 and 18/(-42) + 3572/1736.
62
Suppose -2*d - 12 = 2*d, -4*c + 12 = -4*d. Suppose 2*x = x + 4, c = -4*p + 2*x + 208. Calculate the lowest common multiple of p and 10.
270
Let s = -3538 + 396247/112. Calculate the common denominator of -111/224 and s.
224
Find the common denominator of 22/69 and 355/(-92)*(-10)/100.
552
Let s = 569 - 3437/6. Let f = -2245063/42 - -53451. Find the common denominator of f and s.
42
Let p(h) = -2*h**2 + 16*h + 16. Suppose -2*j + 23 - 3 = -4*m, -4 = 2*m. Calculate the least common multiple of p(j) and 4.
40
Let r(d) = -18*d + 2. Let h = -20858 + 20878. Calculate the smallest common multiple of h and r(-3).
280
What is the common denominator of ((-162)/(-60) - (-12)/(-10)) + 370/(-315) and -80/189?
378
Suppose 0 = -5*m, 321 = 2*a + 2*m - 759. Calculate the common denominator of (-3)/(a/(-184)) + 1 and -9/50.
450
Let d = -46 + 73. Let c = 11 - d. What is the least common multiple of 4 and -2 - (-2 - -3)*c?
28
Suppose -5*f + 30 = 3*q - 3, -f = 3*q + 3. Let o = -264794/23 - -11511. Find the common denominator of (-354)/(-24) + (f/3)/(-3) and o.
92
Suppose 183*f - 181*f = -78. Calculate the common denominator of (40/(-126) - 13/f)*71 and -65/28.
252
Find the common denominator of -69/112 and (6/(-185))/(3836/(-10275)).
4144
Suppose -3*z = -5*t - 60, 0 = -5*t - z - 19 - 21. Let l be (29/12)/((-13)/t) + -1. Let s = -569/130 - l. What is the common denominator of -39/70 and s?
140
Let c(p) = -p**2 + 4*p + 14. Calculate the smallest common multiple of -7 - 2 - 5/((-50)/2210) and c(6).
212
Let v = 267575767/700 - 382251. What is the common denominator of -29/6 and v?
2100
Let n = 3/2609 - -206045/57398. Suppose 3*h - h - 4*k = 748, -3*k = -5*h + 1877. Find the common denominator of ((-1)/12)/(4/h) and n.
66
Let x = -81 - -85. Calculate the smallest common multiple of x and (4 - 0 - -1) + -1.
4
Let d = -446677167414961/336435 + 6638387313/5. Let j be 2/4*-1*4/2039. Let v = d + j. What is the common denominator of v and 173/30?
330
Let q(w) = w**2 + w - 3. Let b be q(-3). Suppose -b*p = 4*u + 75, 2*p - 7*p - 3*u - 114 = 0. Let d = 27 + p. What is the smallest common multiple of 18 and d?
18
Let v = -89861/20 - -4493. Calculate the common denominator of v and 35/6822.
68220
Suppose -2*s - 2 - 2 = 0. Let w = 395219/25 - 15807. Calculate the common denominator of ((-25)/(-18))/(-1)*s and w.
225
Suppose -c + 44 + 71 = 2*y, -4*c + 410 = -2*y. Suppose c - 225 = -5*a. Calculate the lowest common multiple of 33 and a.
264
Let l(n) = -n + 6. Let w be l(3). Suppose w*q = 2*q + 7604. Let x = q + -45755/6. What is the common denominator of x and -49/26?
78
Suppose 0 = 3*t - 16 - 20. Suppose -52*h + 56*h = 12, 4*h - 111 = -3*c. Calculate the lowest common multiple of c and t.
132
Find the common denominator of 73/236 and ((-1261)/1404)/(2/6).
2124
Suppose 4*o = 8*o - 32. Suppose o*k - 845 = 35. Calculate the least common multiple of k and 5.
110
What is the smallest common multiple of (-360)/50*(-3)/(-2)*-25 and 54?
270
Suppose 6*b - 11*b = 200. Let p be (b/460)/(104 - 1). Let a = 120803/18952 - p. Find the common denominator of a and 39/8.
8
Let y be 77/12 + (-1)/(-4). Let o = -71/8 + y. What is the common denominator of o and 6 + -9 + 62/27?
216
Suppose 4*h + 346 = i, 21*h = -i + 19*h + 340. Let f = i + -382. Let c = -17/8 - 3/40. Calculate the common denominator of c and f.
5
Let w = -67 + 46. What is the common denominator of 77/66*291/w and 31/18?
18
Let f = -6031/372 - 50/93. Let d(v) = 13*v**2 - 14*v + 1. Let q be d(6). What is the common denominator of f and (-157)/35 - 11/(q/(-10))?
20
Suppose -7*k + 4*f + 22 = -10*k, -5*f = 4*k + 29. What is the lowest common multiple of 1/(6/18) - k and 99?
99
Let d(b) = 2*b**2 + 69*b + 352. What is the least common multiple of d(-6) and 25?
50
Find the common denominator of ((-351)/(-234))/(1284/(-146)) and 25/6.
1284
Suppose 31*g - 15*g - 96 = 0. Calculate the lowest common multiple of g and (1/2 + 2/(-12))*15.
30
Calculate the common denominator of 13/2849 and 12/210 + 10827/1890.
5698
Let k(w) = -2*w**2 + 20*w + 9. Let o be k(10). Suppose -4*y - 3*v = -80 + 335, 3*v = o. What is the least common multiple of (-27)/45 + y/(-10) and 6?
6
Let b = 19 - 21. Let q = -111 + 119. Calculate the smallest common multiple of (-2)/b - -4 - 0 and q.
40
Let x(l) = l**2 - 5*l - 17. Let y be x(10). Let m = 47 - y. What is the least common multiple of m and 10*-6*(-8)/30?
112
Find the common denominator of -31/1509 and (-9)/(-6) + (-731)/(-255).
15090
Let o = -129109/17160 + 489/65. Calculate the common denominator of o and 127/4400.
13200
Suppose -11*y + 7*y = -1728. What is the common denominator of 2 + -2 + -2 - (-474)/y and -49/9?
72
Let a = -19 - -34. Calculate the smallest com