10
Let v = 55799 + -3348127/60. Find the common denominator of -97/18 and v.
180
Let s = 13513/4 + -3359. Suppose -2*f - 15*y + 11*y = -264, -5*y = -4*f + 567. Calculate the common denominator of (-76)/f*(-336)/448 and s.
92
Let h = 383051/7 + -54730. Suppose j = 2*v + 4, -2 = 4*v + 10. Find the common denominator of (-410)/(-48) - j/(-3) and h.
56
Suppose -10 = -5*m, -a - 2*a + 4*m = -463. What is the least common multiple of a/7 - (-45)/(-105) and 21?
462
Let g be ((-1134)/49)/(-3) + 4/14. Let x = -34 + 375/11. What is the common denominator of g - 3 - 10/2 and x?
11
Let y(c) be the second derivative of c**4/4 - 16*c**3 + 25*c**2/2 + 2*c + 89. What is the least common multiple of 50 and y(32)?
50
Let f = 31/235 - 20347/2820. Find the common denominator of -117/100 and f.
300
Suppose 3493*p - 4 = 3491*p, -3*p - 4800 = -3*f. What is the lowest common multiple of 1958 and f?
17622
Suppose 2*d - 894 = -2*c, -5*d + 80*c + 2238 = 84*c. Calculate the lowest common multiple of d and 225.
450
Let g(t) = 21*t**3 + 3*t**2 - t. Let b be 84/(-378) + 1 + (-4)/(-18). Calculate the least common multiple of 6 and g(b).
138
Let a = -4403/120 - -104/3. Find the common denominator of a and 167/42.
840
Let c be (-9)/1568*(-28)/210. Let z = c + -186233/43120. Find the common denominator of -115/12 and z.
132
Suppose 4795 = -23*v - 2450. Find the common denominator of -115/78 and (v/15)/(33/(-6)).
858
Suppose 7*a + a = 8. Let i be (-5)/(-2)*(a + 2 + 13). Find the common denominator of 35/122 and 10/i*3/(-6).
488
Let b = 2459 - 34365/14. Suppose 0*g = 2*g + 4954. Let s = 24749/10 + g. Calculate the common denominator of b and s.
70
Find the common denominator of 149/12 and -7*(-33)/15 - (4 + -5 + 7).
60
What is the lowest common multiple of 2346 and (-1 - -18)/((-1)/(-30))?
11730
Suppose -7*s + 32*s = 119975. Let m = 475055/99 - s. Calculate the common denominator of -29/36 and m.
396
Let l = -1304 + 2897. What is the common denominator of -151/42 and (l/81)/(8/(-6)*-3)?
84
Suppose -6 = -2*h, -l - 1 = 3*h - 10. Suppose -5*o + 120 = -l*o. Suppose -2 = -3*t + b + o, t = -5*b - 18. Calculate the least common multiple of t and 10.
70
Let f = 55 - 15. Let r(y) be the first derivative of -7*y**4/4 + y**3/3 - y**2 - 16*y - 364. Calculate the least common multiple of r(-2) and f.
240
Suppose -4*c + 157 = 4*a + 37, -4*a - 3*c = -118. Let m = a - 20. What is the smallest common multiple of ((-2)/4)/((0 - 2)/24) and m?
24
Let s be (-62*(-6)/(-972))/((-2)/212386848). Let g = s - 40632629. Let p = -9300 + g. What is the common denominator of p and 59/3?
27
Suppose 15*h - 8472 = -50*h - 477. Suppose -135 = -3*z - 2*z. Calculate the smallest common multiple of z and h.
1107
Let k(g) = g + 18. Suppose -75 - 13 = -11*q. Let r(o) = o**2 - 8*o + 18. Calculate the smallest common multiple of r(q) and k(0).
18
Let z = -480 - -462. Calculate the least common multiple of 290 and -1 + 3 + 24 + z.
1160
Let g = -338 + 626. Find the common denominator of (0 + 1/70)/((-2)/g) and -4/63.
315
Let c be (6/4)/(91/(-56) + 2). What is the lowest common multiple of 20 and c + 3/(-6)*-52?
60
Suppose 0 = -36*s + 41*s + 50. Let l = -2798/1939 - -4/277. What is the common denominator of (-510)/(-175) + 2/s and l?
7
Let t = -136 + 154. Find the common denominator of 3/(-72) - (-2)/t and 11/18.
72
Suppose 10*o = 8*o - 4. Let s be (((-6)/4)/(9/12))/o. Find the common denominator of 696/189 + s/(14/6) and 1/2.
18
Let y = -451657 + 451656921/1000. Calculate the common denominator of -17/20 and y.
1000
What is the lowest common multiple of 740 and 4*800/280*(1 + 5/2)?
1480
Let x(p) = -136*p - 74. Suppose -2*c + 63 = 35. What is the least common multiple of x(-1) and c?
434
Let t = -35 + 45. Let r = -2130 - -2160. What is the least common multiple of r and t?
30
What is the common denominator of -219*7/84 - (-6 - -4) and 32/375?
1500
What is the common denominator of (-2)/120 + 3/12 - -6 and 89/420?
420
Let h = 174 - -96. Suppose -h = -2*o - 3*o. Calculate the lowest common multiple of o and 36.
108
Let y(c) = 2*c + 43. Let l be y(30). Let r = l + -95. Calculate the lowest common multiple of 20 and r.
40
Find the common denominator of -38/117 and 1*2/(8424/(-516)).
351
Suppose 192 = -0*q - 6*q. Calculate the lowest common multiple of 170 and (-15)/(-7) + 0 - q/(-224).
170
Let r be (1 + 86)*(-6)/(-18). Suppose 3*j - 9*b + 4*b - r = 0, -b - 49 = -3*j. Calculate the lowest common multiple of (-12)/18 + (-112)/(-6) and j.
18
Let b(d) = 9*d**2 - 4*d + 4. Let g be b(2). What is the common denominator of (1/g)/((-285)/(-13148)) and (-79)/6 - (-3 - -5)?
120
Let z be (-350)/8 + (-10)/45*-9. Let s = z + 5/4. Calculate the common denominator of 71/640 and s.
640
Let z(y) = -y**3 - 6*y**2 - 5*y + 2. Let p be z(-5). Let s = -11/386 + -593/2895. Find the common denominator of s and (742/20)/7 - p.
30
Let o = 5084 - 55923/11. Find the common denominator of 21/1268 and o.
13948
Let x = 971/69 - -219/46. Find the common denominator of x and 1/38.
114
Let h(a) = -125*a + 2407. What is the smallest common multiple of 844 and h(19)?
6752
Suppose -31*m + 30*m + 2 = 0. Suppose m*u = 14*u - 144. Calculate the least common multiple of 15 and u.
60
Suppose 367*j - 321*j - 120044 - 124768 = 0. What is the lowest common multiple of j and 10?
26610
Let d be ((-47640)/(-28))/6 - 6/(-14). Calculate the lowest common multiple of 40 and d/12 + (-12)/(-9).
200
Find the common denominator of -19*9*15/(-3375) and -49/675.
675
Let n = 425 + -76. Let j = n - 319. What is the least common multiple of 2 and j?
30
Calculate the least common multiple of 95 and 624/2 + (-31 + 12 - -11).
1520
Let u(s) = s**2 - 28*s + 20. Let v be u(27). Find the common denominator of (-8)/(-4) + 7/(-20) and 4/v + (-359)/(-28) + 5.
20
Let q = -5502 - 616. Let b = -49017/8 - q. Let s = -641/198 + 23/9. Find the common denominator of b and s.
88
Let c = -18433/1080 - -929/54. Find the common denominator of 97/28 and c.
2520
Suppose -14*l = -10*l + 32. Suppose -1 = m - 5. What is the smallest common multiple of (-26)/l + 16/(-64) and m?
12
Suppose 0 = j + 3 - 9. Suppose 0 = -72261*q + 72319*q - 580. Calculate the smallest common multiple of j and q.
30
Suppose -3*j + 297 = 3*u - 6*u, 0 = 4*j + 3*u - 347. What is the lowest common multiple of 276 and j?
276
Let x be 171 + (-7)/14 + (-14)/4. Let r = x - 117. What is the least common multiple of 50 and r?
50
Let j(w) = -w**3 + 10*w**2 - 7*w + 16. Let d be j(10). Calculate the common denominator of -99/10 and ((-3)/d)/((-10)/(-1160)).
90
Suppose 9*m - 4806 = -9*m. Calculate the common denominator of m/(-72) + -6 + 4 and -1/60.
120
Let k(p) = 4*p**3 - 9*p**2 - 2*p - 13. Let l(a) = a**3 - a**2 - 2. Let b(d) = k(d) - 6*l(d). What is the lowest common multiple of 11 and b(-2)?
77
Calculate the common denominator of 10 + 16245/(-648) + 13 and -157/180.
360
Suppose -97*s = -26593 - 7551. What is the lowest common multiple of s and 396?
3168
Let r = 5116 + -2118. Let c = r + -74921/25. Find the common denominator of c and -67/35.
175
Suppose -982 + 5982 = -5*x + f, 981 = -x + 4*f. Let c = x + 7965/8. Calculate the common denominator of c and 17/16.
16
Suppose -c - 116 = -2*u, -3*c = -u - 0*c + 63. Suppose -3*l = -n + u, -n = 5*l - 3*n + 94. Let f = l - -27. Calculate the smallest common multiple of f and 30.
210
Let t = -1347 + 8159/6. Find the common denominator of 6/8*(1 + 63/175) and t.
150
Suppose 32 = -3*y + 830. Let z = y + -263. Calculate the smallest common multiple of 32 and z.
96
What is the common denominator of (4 - 6)*483/(-462) and 23/196?
2156
Suppose -2*d + 6510 = k - 6*k, -k = 5*d + 1302. Find the common denominator of (32/10)/(k/(-175)) and 113/12.
372
Let p(c) = -2*c**3 - 36*c**2 - 4*c - 68. Let l be p(-18). Suppose 0*d + 3*y = 4*d - 95, l*d + 4*y - 60 = 0. Calculate the lowest common multiple of d and 32.
160
Let r = 48399 + -1451819/30. What is the common denominator of 29/1470 and r?
1470
Let b = 457 + -465. Find the common denominator of (-71)/b - 129/172 and 149/12.
24
Let b(y) = y + 13. Let t(a) = a + 6. Let z(j) = 2*b(j) - 5*t(j). Let c be z(0). Find the common denominator of (-71)/(-26) + 6/c - 2 and 67/8.
104
What is the common denominator of 4 + 60/(-18) - 304/330 and 79/150?
1650
Suppose -3*r + 4*p +