/116 - c. Calculate the common denominator of -121/36 and g.
180
Suppose 3*v + 2394 = 3*a, 5*a - 1246 = -4*v + 2771. Let t be (a - 0)/(14/(-28)). Let r = t - -3295/2. What is the common denominator of 97/10 and r?
10
Let l = 4/2417 - -113543/33838. Let w = -9 + 18. What is the common denominator of ((-296)/(-24))/(10/w) and l?
70
Let r(c) be the third derivative of c**4/12 + 17*c**3/3 + 15*c**2. Calculate the least common multiple of 4 and r(-12).
20
Suppose 3*d + 7 = 19. Suppose 270 = d*j + 6*j. Calculate the least common multiple of j and 3.
27
Let y = 3/8 + -233/24. Let o(f) = f**2 - 6*f - 7. Let a be o(-5). What is the common denominator of y and ((-294)/a)/((-6)/(-8))?
6
Suppose 4*i = i - t + 148, 60 = i - 5*t. Suppose 4*u + u - i = 0. Calculate the least common multiple of 4 + (-2)/(-2) - -1 and u.
30
Let m = -1474 - 4242. Let o = m + 3712. Let l = -3917/2 - o. What is the common denominator of l and 23/4?
4
Let m = -41185 + 2141515/52. What is the common denominator of m and 101/32?
416
Let r = -361079/22 - -16416. What is the common denominator of -63/508 and r?
5588
Let q(h) = h**3 - 4*h**2 - 2*h - 3. Let i be q(5). Let y = i - 0. Suppose -4*z + 3*z + 6 = -3*f, z + 5*f = 38. What is the smallest common multiple of z and y?
36
Let w = -1/591 + -8191/49053. Let f = -2972/1079 + w. Calculate the common denominator of -2 + (2 - 36/22) and f.
143
Let s = 1427/42 + -389/18. Let t = -146/9 + s. What is the common denominator of 107/6 and t?
42
Let z = 78 + 546. Suppose 2*s - p = -5*p - z, -615 = 2*s - 5*p. Find the common denominator of 24/80*s/(-12) and 29/2.
4
Let w be (-2)/(6/(-3)) - -1. Let f = 5 - 11. Let s = w - f. Calculate the lowest common multiple of 11 and s.
88
Let u(i) = -3*i + 33. What is the smallest common multiple of u(6) and 50?
150
Let q = -134629/260340 - -2/4339. What is the common denominator of q and -53/84?
420
Suppose 4*w = 3*a + 49, -3*w + 3*a + 8 = -25. What is the lowest common multiple of 4 and w?
16
What is the least common multiple of 60 and 5 + -3 + 3 - -79?
420
Let x(m) = m - 7. Suppose 6*a - 3*a - 6 = 0, -122 = 4*b - 3*a. Let t = b + 51. What is the smallest common multiple of x(9) and t?
22
Find the common denominator of ((-2)/(-30))/((-2)/(-173)) and (0 - 48/(-30))*(-7)/18.
90
What is the smallest common multiple of 5 + 0 + 5 - (4 - 4) and 20?
20
What is the least common multiple of 1806*18/108 + (-1 - 6) and 21?
294
Let t = 14 + -10. Suppose -21 = -t*g + g. Suppose -z - 44 = -3*a - g, 4*z = 5*a - 71. Calculate the least common multiple of a and 8.
88
Let k = -16241341069/8882 + 1828568. What is the common denominator of 19/2 and k?
8882
Let k(y) = -y**3 + 10*y**2 - 12*y + 10. What is the least common multiple of 18 and k(8)?
126
Let y = -1/15 + -103/5. What is the common denominator of 220/24 + (-2)/(-3) and y?
6
Let k(d) = -2*d**2 - 28*d + 146. Calculate the smallest common multiple of k(-18) and 100.
100
Calculate the common denominator of -37/9 and (-790)/231 + 2 + (-36)/(-63).
99
Suppose -2*a + 7*a + 220 = 4*f, -60 = a - 4*f. Let r = a + 48. Let h = 19 + -12. What is the lowest common multiple of r and h?
56
Let n = 71 + -75. What is the smallest common multiple of (1 + 55/(-20))*n and 8?
56
Suppose -3*k + 28 = -k. Let b = 459 - 301. Calculate the lowest common multiple of b and k.
1106
Let i = -395/4811024 - -371346512839/34278546000. Let s = i - -1/4750. Calculate the common denominator of s and 44/15.
30
Let h be -2 + 3 + -4 + 7. Suppose -h - 6 = -5*n. Suppose -3*i + 5 = -n*a, 2*a + 2*a = -5*i + 23. Calculate the lowest common multiple of a and 2.
2
Let o be 4 - 13/11 - 3. Let p = -61/33 - o. Let u = -13081/1340 + 4/335. Find the common denominator of u and p.
12
Suppose -c + 30 = -16. Suppose -4*f + 2 = -c. What is the smallest common multiple of 18 and f?
36
What is the common denominator of 99/4 and 3/(25 - -2) + (-1154)/1152?
64
Find the common denominator of -21/68 and 4/(-14) - 1*(-1090)/(-56).
68
Suppose -2*j = -m + 9351, 4*m + 3*j - 37430 = -2*j. Let w = 299405/32 - m. Calculate the common denominator of 7/18 and w.
288
Suppose 3*w + w - 12 = 0. Suppose -w = -2*u + 3. Suppose -2*j - 1 = 3*v - u, -3*j = 5*v - 2. What is the lowest common multiple of 9 and j?
36
Let i be 114970/(-30) - 4/(-3). Let z = -114859/30 - i. Find the common denominator of 133/12 and z.
60
Let m = 62/3 - 1259/57. Calculate the common denominator of -111/190 and m.
190
Let h be 2 + 3/(96/435698). Let r = h + -13613. Calculate the common denominator of r and 3/(-60)*1590/24.
16
Suppose k + 23 = 3*k - 3*y, 3*k = 2*y + 27. Let t(m) = -m**3 + 9*m**2 - 13*m + 24. Calculate the lowest common multiple of t(k) and 10.
310
Let q(m) be the third derivative of m**4/3 + 2*m**3/3 + 39*m**2. Calculate the least common multiple of q(0) and 52.
52
Let z(n) = -n**3 - 7*n**2 - 5*n + 10. Let v be z(-7). Let i = -5/18 - 56/9. Calculate the common denominator of i and (v/162)/((-2)/66).
6
Suppose 202*r - 2440 = 182*r. What is the least common multiple of 7 and r?
854
Let x(v) = 2*v**2 - 26*v + 85. What is the smallest common multiple of x(13) and 45?
765
Let o = -284/325 + 78317/77350. Find the common denominator of -79/8 and o.
952
Let j = 137889/14 + -9856. Find the common denominator of j and 115/112.
112
Let y = 61/34 - 814/51. Find the common denominator of y and (3618/(-72))/(66/(-4)).
66
Let n = 10024 + -3796. Let i = -5374765/863 + n. Let p = -55235/2589 - i. Calculate the common denominator of p and -137/6.
6
Let u = 30/487 + -36107/24837. Calculate the common denominator of u and 139/12.
204
Let g = 49 - 46. Calculate the common denominator of (126/20)/(16/(-10)) and 186/(-4)*g/33.
176
Let h = 12 + -10. Let a = 20 - 18. What is the common denominator of (h - a) + 153/(-42) and 25/9?
126
Let b = 17 + 13. What is the least common multiple of b and 360?
360
Let p = 16127/45240 - 37/377. Find the common denominator of 43/84 and p.
840
Let k be (-1844259989)/9799 - 5/5. Let a = k + 188210. Let m = -950483/97990 - a. What is the common denominator of 45/8 and m?
40
Suppose 0 = -4*t - 4 + 48. Suppose -120*z + 140*z = 180. Calculate the lowest common multiple of t and z.
99
Let g be 14/3*(75/10 + -6). What is the lowest common multiple of -2 + 3 + g + 4 and 8?
24
Calculate the smallest common multiple of 15 and 374/14 + 4/14 + 0.
135
Suppose -3*r + 156 = 5*a, -121 = -3*a - r - 29. What is the least common multiple of 330 and a?
330
Let v = -2375505/76 - -31256. Find the common denominator of 47/36 and v.
684
Let m(x) = -x**3 + 4*x**2 - 3*x + 2. Let g be m(4). Let j(o) = 2*o + 13. Let i be j(g). What is the common denominator of 99/16 and (-59)/i*14/(-60)?
240
Suppose 4*o - 5*u - 48 = 0, 0 = -4*o - 0*o + u + 32. Suppose 2*z - 18 = 3*d, z + 3*d - 3 = 6. What is the lowest common multiple of z and o?
63
Let p = 3 + -14. Let v = p - -37. Let j = v - 8. Calculate the lowest common multiple of 18 and j.
18
Let o = 65 + 7. Calculate the smallest common multiple of o and 48.
144
Calculate the common denominator of (1211/(-18))/7 + 4/(-18) and 41/100.
300
Calculate the least common multiple of 642 and 244/14 + 184/28 + -6.
1926
Let t = 17 + -13. Let b(s) = -s + 14. Let d be b(0). What is the smallest common multiple of t and 49/d*(-1 - -5)?
28
Suppose 3*g + 3 = 0, g = -r - 4*r + 414. Suppose 61 = 12*a - r. Calculate the smallest common multiple of a and 22.
132
Let w = 812540/1827 + -3112/7. What is the common denominator of -49/290 and w?
2610
Suppose 0 = 2*i - i - 10. Suppose 2*p - 18 = p - 2*q, 4*p = q + 27. Calculate the lowest common multiple of p and (-14)/(-5) + (-8)/i.
8
Let i = -100/717 + 51469/76002. What is the common denominator of -19/14 and i?
742
Let c be 4/(-18) + 98512/7200. Let t = c - 209/25. Calculate the common denominator of 25/6 and t.
30
Let t(y) = y**3 + 10*y**2 + 10*y + 11. Let f be t(-9). Suppose -4*k - f*i = -i - 12, 0 = k + 4*i + 12. Calculate the lowest common multiple of k and 6.
12
Let g = 687797/1252866 - -1/24566. Calculate the common denominator of -23/15 and g.
255
Let m be 2 + 1351/(-30) - (-16 - -12). Let q = 39 + m. Calculate the common denominator of q and -57/2.
30
Let k be (-12)/(-18) - (3 - 34/3). Suppose -y + k + 0 = 0. Calculate the smallest common multiple of 24 and y.
72
Let y = 328 + -175. What