330901/22 - a. Find the common denominator of -45/14 and j.
154
Let b(m) = 16 - 8*m - 28*m - 7. Suppose 0 = -86*r - 261 + 175. What is the smallest common multiple of b(r) and 36?
180
Let k be (-28556)/(-30) - (-12)/90. Let v = k + -5657/6. Calculate the common denominator of v and 1 - (6/33 + 1521/891).
18
Let v = 488521/24 - 20350. Suppose -5*s + 210 = -2*s. What is the common denominator of (1 + 1)/(s/95) and v?
168
Let x be -8 + (-260)/(-32) + (-773)/6056. Let w = 73441/4542 + x. Calculate the common denominator of -35/12 and w.
12
Let l = -47538 + 32715. Let c = 800531/54 + l. Let w = -132/101 - -9019/1414. Calculate the common denominator of c and w.
378
Let a = 35015485613681/12828 - 2729613785. Let v = a - 1/1069. What is the common denominator of v and 101/136?
408
Let g(z) = 15*z + 6. Let a(r) = 8*r + 3. Suppose 61 = -q + 55. Let o(v) = q*g(v) + 11*a(v). Calculate the least common multiple of o(-6) and 2.
18
Let a = -1275425783/1880 - -678418. What is the common denominator of a and -81/8?
1880
Let u = -62973471605/3109682177 - -2/9627499. Let t = u - -425/19. Find the common denominator of (62/8)/((-20)/16) and t.
85
Let i = 1/7368 + -2329/195252. Calculate the common denominator of i and 33/424.
424
Calculate the common denominator of -16/11 and 9/(5862780/(-380171)) - 40/(-70).
93060
Let d(y) = y**3 + 4*y**2 + 14*y + 33. Let o be d(-11). Let a = -928 - o. What is the smallest common multiple of a and 40?
40
Let f(x) = -226*x + 2549. What is the lowest common multiple of 6 + 2 + -1*2 and f(11)?
126
Let f = -3616548647367 + 2748573477285103/760. Let l = f + 18393265/4. Let c = -21/95 + l. What is the common denominator of 119/6 and c?
24
Suppose 2*d + 4*k = 1124, 0 = 2*d - 2*k - 1879 + 785. Let v = 493217/866 + -15/433. Let n = d - v. Calculate the common denominator of n and -7/19.
38
Suppose 35*f - 39*f + 1400 = 0. What is the common denominator of 13/12 and (-7 + f/55)*1/(-3)?
132
Let x be 738/(-12)*(-143)/2. Let r = x - 4419. Calculate the common denominator of r and 65/96.
96
Let f be 1*(-159)/(-2)*4. Find the common denominator of ((-66)/315)/(6/40) and f/18*(-12)/(-16).
252
Suppose j = -4 + 3, 2*y - 180 = 2*j. Suppose -330 = 84*s - y*s. Find the common denominator of 13/9 and (-1 + 78/s)/((-2)/56).
99
Let z be (-1890)/(-9) + -6 + 4/(-1). Calculate the least common multiple of z/75*(-6)/(-2) and 14.
56
Let h(r) = 64*r**3 - 5*r + 2. Let t be h(2). Find the common denominator of 39/187 and 4/14 - 8796/t.
1122
Let t(h) = 57*h**2 - 57*h + 3. Calculate the smallest common multiple of 156 and t(2).
468
Let y(f) = f**2 - 21*f + 54. Let b be y(18). What is the least common multiple of 14 and (-4 - -7 - b) + 25?
28
Suppose 2*h - 307 = 5*x, -3*x + 4*x + 428 = 3*h. Let a = 5855/276 + -32/69. What is the common denominator of 2/(-8)*h/15 and a?
20
Suppose 3*d = -54*d - 27*d + 2268. What is the lowest common multiple of 2340 and d?
7020
Let d = -80 + 75. Let b(y) = 5*y + 11. Let q be b(d). What is the common denominator of ((-63)/q + -6)*127/36 and -73/15?
120
Suppose -12 = 78*d - 84*d. Suppose -4*x + 302 = x - d*z, 4*z - 16 = 0. What is the lowest common multiple of 6 and x?
186
Suppose 4*s + 3*w - 79 = 0, 3*s = 4*s - w - 11. Let d be (3 - 2/4)*s/5. Calculate the least common multiple of 12 and (-100)/d*(-12)/5.
60
Let x = -43759 + 9320609/213. What is the common denominator of 53/111 and x?
7881
Suppose 3*s + 29 + 16 = 0. Let r = s - -14. Find the common denominator of (-2)/r - 1836/697 and 7/3.
123
Let u be (-163818)/(-8) + (-2)/8. Let y = u - 2027303/99. Find the common denominator of -1/22 and y.
198
Let o(s) = s**2 - s - 44. Let q be o(4). Find the common denominator of (82/7)/(q/(-56)) and (-56)/(-124) - (0 - -2).
62
Suppose 39 + 21 = 2*d. Let w(a) = a + 26. Let g be w(-27). What is the least common multiple of d and 18*(-2 + (g - -4)) - 0?
90
Let g(v) = v**2 + 15*v + 20. Calculate the smallest common multiple of g(-14) and (2*1/6)/(-1 + (-2245)/(-2244)).
2244
Let b = 146 + -143. Suppose -b*i - 6*z + 730 = -8*z, -964 = -4*i + 5*z. What is the least common multiple of 20 and i?
2460
Let r(m) = -m**3 + 8*m**2 - 10*m - 7. Let f be r(6). Suppose -7*w - 6 = -f*w. What is the common denominator of 30/55*((-21)/(-4))/w and 25/24?
264
Suppose -90*z - 3032 - 23720 = -109*z. Calculate the least common multiple of 6336 and z.
12672
Calculate the least common multiple of 3075 and 46/4 - 69/138.
33825
Suppose -4*q = -67 - 65. What is the lowest common multiple of 15 - 9 - 1*3 and q?
33
Let o = -45 + 54. Calculate the least common multiple of (-2)/(-6)*(15 + (-1932)/(-23)) and o.
99
Suppose 27 - 7 = -10*o. Calculate the common denominator of -121/6 and 3/24*o - 988/144.
18
Find the common denominator of (28/(-10))/(17409/735 + -23) and 53/94.
564
Suppose -82 = -4*c + 38. Calculate the smallest common multiple of c and (-146)/(-1825) + 3115/125.
150
Let d(o) be the second derivative of -3*o**3/2 + 16*o**2 + 24*o. Let l be d(-11). Suppose 43 - l = -2*t. What is the smallest common multiple of 40 and t?
440
Let y = -884 + 898. What is the smallest common multiple of y and 165?
2310
Suppose 2*u + 699308 = -a, 8*u - 3*u + a + 1748270 = 0. Let m be (-2)/13 - u/4095. Let j = 596/7 - m. Find the common denominator of -23/12 and j.
180
Let m = -2511 - -2865. What is the smallest common multiple of m and 63?
7434
What is the common denominator of 19/9 and 12/(-16) + 8337/(-5940) + 2?
495
Let m = 23500 + -3807059/162. Calculate the common denominator of 125/72 and m.
648
Let x = 10050 + -8070. What is the least common multiple of x and 45?
1980
Suppose -3*o - s = -o - 1, 3*s = o + 3. Suppose o = -25*p + 2*p + 4002. Calculate the least common multiple of p and 12.
348
Let h = 803 - 807. Find the common denominator of (-2)/4 - 202/(-16) and (-27)/(-4) + 1 + h + 3.
8
Let v be 5 - ((-3 - 74) + -4). Let n = -6 + v. Suppose 3*b = 6*y - 2*y + n, -3*b + 76 = -5*y. Calculate the least common multiple of 16 and b.
32
Let x = 34 + 2. Let u(n) = 102*n + 320. Calculate the lowest common multiple of u(-3) and x.
252
Let r = 2781 + -2067. Calculate the least common multiple of 357 and r.
714
Let x = 3362 + -47029/14. Let m = -3/48578 + -1894215/5295002. Let q = m - 4336/981. Calculate the common denominator of x and q.
126
What is the common denominator of 2/(-6)*(-1378)/(-530) and 89/2124?
10620
Let z = 34 + -23. Suppose 5*n - 9*n - t = 19, 2*n + z = t. Calculate the smallest common multiple of 6 and -2 - n/((-5)/(-12)).
30
Let b = -369119/18 - -20514. Find the common denominator of 133/72 and b.
72
What is the common denominator of -95/324 and 31*(145/35 - 32/8)?
2268
Let t = -16017 - -16094. What is the lowest common multiple of t and 220?
1540
Suppose -5*s + 14 = -3*s. Let d(j) = -3*j**3 + 5*j**2 + 2*j. Let m be d(-2). Let w = 41 - m. Calculate the least common multiple of s and w.
7
Let r(n) = 11262*n - 56290. Let v(t) = -t**2 - 4*t + 2. Calculate the least common multiple of v(-4) and r(5).
20
Let l = 3956 + 313. Calculate the least common multiple of l and 6.
8538
Suppose -5*r + 12698 - 3556 = -4*f, -9160 = -5*r - 5*f. What is the least common multiple of 30 and r?
1830
Let o(w) = w**3 - 24*w**2 - 15*w + 30. What is the smallest common multiple of 20 and o(25)?
280
Let y = -143507/6 - -8250418/345. Let z = 11/23 + y. Calculate the common denominator of 69/10 and z.
10
Let d(u) = -3507*u - 2277. What is the lowest common multiple of d(-2) and 24?
37896
Calculate the common denominator of 7 and (1 - 4)*-28*(5/35331)/5.
11777
Suppose -25 = -4*t - 69. Let k = -31 - t. What is the common denominator of (6/k)/(78/2015) and 3/4?
4
Let y = -110566/5 - -22113. Let h = 178/5 + -3236/85. Find the common denominator of y and h.
85
Let w = -227 + 530. Suppose -5*j = -323 + w. Calculate the smallest common multiple of j and 226.
452
Let f(s) = -s + 23. Let w(r) = 19*r**2 + 2*r - 4. Let j be w(1). Calculate the smallest common multiple of f(j) and 6.
6
Suppose 6744 - 1274 = 2*u - k, -2757 = -u - 5*k. What is the least common multiple of 3 and u?
8211
Let j be -1 - ((-22002)/(-48) - 0). Let z = 458 + j. Find the common denominator of z and -97/80.
80
Let v(y) = -9*y**3 + 104*y**2 + 49*y + 24. Let u = 13 + 107. What is the lowest common multiple of u and v(12)?
360
Suppose 216