 8. Let w be i(0). Calculate the common denominator of (-1)/(-4)*(-4070)/(-275) and 47*(-1 + w/7).
70
Let s = 51343/2373 - -24/791. Find the common denominator of s and -75/23624.
70872
Find the common denominator of ((-35)/(-22))/((-4)/6) and ((-14)/21*(-90)/48)/(165/1023).
44
Find the common denominator of 87/872 and (-3)/(-1308)*496464/(-144) - -8.
2616
Suppose 24*a - 152 = 5*a. Let g(z) = z**2 - z + 27. Let v be g(0). Suppose -a*x + v = -5*x. What is the least common multiple of 6 and x?
18
Suppose -d + 2 + 1 = 0. Find the common denominator of -27*12*(-10)/(-80) and (2 - d) + (-127)/18.
18
Let g = -8761507169/156 + 56162864. Let s = 15588667/24544 + -103/1888. Let z = s + g. Find the common denominator of z and 103/6.
12
Let y = 254/259 + -43587/44030. Find the common denominator of y and 9/2618.
13090
Let x = -47/1865 + 12363508/16785. Let t = x - 740. Calculate the common denominator of t and -79/250.
2250
Suppose -62*a + 58*a = 0. Suppose a = 15*g - 10*g - 250. What is the common denominator of -53/2 and g?
2
Suppose q = -q. Calculate the common denominator of 7 + ((-49)/(-234) - 52/338) and (106/(-22) - q)/(-2).
198
Let b be 2/4*1369 + (-8)/(-16). Calculate the common denominator of 37/42 and (b/(-110) - -6)*60/9.
462
Let f be 1*-1 + (63/7 - 3). Suppose -5*u + 30 = 2*j - 93, 0 = u - f*j - 30. What is the lowest common multiple of u and 50?
50
Let l be (-921818)/220 - (-5 + (-46)/(-10)). Let r = l + 4185. What is the common denominator of 29/7 and r?
154
Let h = -6487 - -207507/32. Calculate the common denominator of -97/10852 and h.
86816
Suppose -2*d = -s - 7, -4*s = -0*s - 5*d + 16. Find the common denominator of 237/(-24)*1 + (s - -1) and (3 - (-1092)/(-8))/9.
24
Let s be 716 + 4 + (-3 - -4). Suppose 717*i + 84 = s*i. What is the least common multiple of i and 6?
42
What is the common denominator of (-374)/(-110) - (-224)/70 and 119/330?
330
Calculate the common denominator of (134/(-70))/((-110)/77*1) and (-118)/(-4)*(-50)/(-875).
350
Let l(m) = m**3 - 15*m**2 + 37*m - 63. Let o be l(13). Find the common denominator of ((-40182)/(-999))/(o/3*1) and -29/60.
120
Suppose 0 = n - 44 - 116. Suppose 52*g = 44633 - 42293. What is the lowest common multiple of g and n?
1440
Suppose 0 = 2*t + 2*n - 14 - 24, 2*t - 3*n = 18. Calculate the smallest common multiple of t and 225.
225
Let u be (-8)/(-3) - (-3)/9. What is the common denominator of (61/28 + -2)*(-95 + 114) and ((-231)/10)/u - 2?
140
Suppose -10*k + 1345 = -1455. Let l = -282 + k. Calculate the common denominator of -76/417 and l.
417
Suppose 6*f - 136584 = -0*f - 8*f. What is the lowest common multiple of f and 4?
9756
Let p = 15181/110 - 1638/11. Calculate the common denominator of 200/(-800) + (-94)/20 and p.
20
Suppose 0 = 4*o - 0*o - 20. Suppose t + o*g + 3 = -3*t, g = -4*t + 9. Let f(m) = -m**2 + 46*m + 1593. Calculate the least common multiple of t and f(-23).
6
Calculate the common denominator of 77/368 and (-9)/((-3)/(-3)) - (-1194787)/130801.
4048
Suppose -17866 + 2554 = -48*s. Calculate the lowest common multiple of s and 7.
2233
Suppose -4*h = -4*u - 16, 2*h = -0*h. Let m = 4690157/4868094 + -2/59367. Calculate the common denominator of m and (-14)/(-12)*54/u.
164
Suppose -7*d - 243 = -34*d. Suppose -19*g - 300 = -24*g. What is the smallest common multiple of g and d?
180
Let y(h) = h**2 - 4*h - 3. Let w be y(8). Suppose -7*s + 4*s + v + w = 0, -3 = -s - v. Calculate the smallest common multiple of s and 7.
56
Let k = 361/12 + -61/4. Calculate the common denominator of -15/2429 and k.
14574
Let y be (1692/(-63))/(12/(-98)). Let x = 217 - y. Calculate the common denominator of -58/75 and x.
75
Let p = 28988 + -41075. Let x = 459261/38 + p. Let f = 11889 + -261453/22. Find the common denominator of x and f.
418
Suppose 384 = -25*i - 9*i + 14188. Calculate the lowest common multiple of i and 116.
812
Let j = -12334572841/1710 - -169470172/95. Let r = -5440992 - j. Let f = 11692 + r. What is the common denominator of f and -4/33?
198
Let n = 238067 + -49994167/210. What is the common denominator of -95/84 and n?
420
Suppose -o - 1 = 0, 2*s + 18*o - 162 = 20*o. Calculate the smallest common multiple of 88 and s.
880
Suppose 5*y - 6*c + 5 = -c, 3*c = -6. Let x(o) = o**3 + 35*o**2 + 102*o + 203. Calculate the least common multiple of x(-32) and (-7)/(42/40)*y.
220
Suppose 1535*k = 1509*k + 13520. What is the lowest common multiple of 182 and k?
3640
Let l(o) = 31*o + 2589. What is the smallest common multiple of 2 and l(-69)?
450
Suppose 4*n + 581 = -3*y, 0 = -4*n + n - 15. Let m = y + 247. What is the smallest common multiple of m and 44?
660
Let k(c) = -49*c - 108. Let q be 7/((-532)/8) - 188/19. Calculate the lowest common multiple of k(q) and 2.
382
Let a = -28942 + 1620849/56. Suppose -3*r = 7*r. What is the common denominator of r - (2/(-10) + 386/(-220)) and a?
616
Let t = -1484 + 53555/36. Calculate the common denominator of (11 - 14)/((480/(-114))/(-4)) and t.
180
Suppose -4*u + 2 = -3*h, 2*u - 1 - 1 = h. Let n(c) = -4 + 3*c - 9*c - 6*c**u - 5*c**3 + 1 + 6*c**3. What is the least common multiple of n(7) and 20?
20
Let i(y) = -y + 28. Let l be i(-14). Let s = l + 5. Let v = 52 - s. What is the smallest common multiple of v and 1?
5
Suppose 14*l = 6119 - 5419. What is the least common multiple of 110 and l?
550
Suppose 4*d = 2*s - 41 - 139, 3*s - 258 = 3*d. What is the lowest common multiple of 24 and s?
984
Let n be (-14)/(-3 + 5845/1939). Let h be (4 + (-2 - 0))*494. Let p = n + h. Calculate the common denominator of -7/22 and p.
22
Let c = -705 + 387. Calculate the smallest common multiple of 14/63 - (-1)/((-27)/c) and 16.
48
Let v be (3 + 7)*(-1635)/(-10). Suppose -27*m = -v - 1632. Calculate the smallest common multiple of 121 and m.
121
Let a = -1826 + 2693. Let n = 1476 - a. Calculate the least common multiple of n and 5.
3045
Let g(h) = -h**2 + 13*h + 24. Let w be g(13). Let s = w + -5. Calculate the lowest common multiple of 7 and s - -6 - 2*2.
21
Suppose 275*l - 163200 = -45*l. What is the least common multiple of 165 and l?
5610
Let i be ((-20)/(-12))/(1/(-6)). Find the common denominator of 18/17 and i/4*12/75.
85
Let z = 9511/574 + -20/287. What is the common denominator of 33/2198 and z?
2198
Let m = -1445133 + 52020187/36. Let h = -1106/9 - m. Calculate the common denominator of h and (-2)/(-3) - (-955)/120.
24
Let r = 69119/15 - 4603. Find the common denominator of r and 3 - (0 - (-141)/30).
30
Let v be -3 + 122 - (0 + -4). Suppose -139*y + v*y + 1728 = 0. Calculate the least common multiple of y and 12.
108
Let k(a) = a**3 + 11*a**2 - 39*a - 426. What is the smallest common multiple of 105 and k(-11)?
105
Suppose 4*b + 10 = 10. Suppose -2*m + 7 - 1 = b. Suppose m*x = -4*r + 410, -5*r + 6*r + 5*x = 94. What is the lowest common multiple of r and 12?
312
Let s = -129 - -295. Calculate the least common multiple of s and 18/(-15)*2200/(-264).
830
Let o = -107631589/12 + 8977641. Let x = o - 8333. Find the common denominator of x and 151/132.
132
Let h = 500/11 + -4781/88. Suppose 4*f - 19986 = -0*r - 3*r, -f + 5*r = -4985. What is the common denominator of (-14282)/f + 1/10 and h?
216
Calculate the least common multiple of 4 and -2 - ((138960/(-27))/(-4))/(3/(-9)).
7716
Let s(r) = -19*r - 49. Let j(c) = -19*c - 49. Let i(m) = -3*j(m) + 4*s(m). What is the least common multiple of i(-5) and (-36)/24*1*-2?
138
Let o = 1839/10 - 903/5. Let b = -10 + 16. Calculate the common denominator of o and 967/342 + b/(-27).
190
Suppose -2*t - 3*m + 95 = 0, -5*t + 151 = 2*m - 59. Suppose 6*v - 8*v - t = 0. Let y = v - -30. Calculate the lowest common multiple of 10 and y.
10
Let x(w) = 7*w**3 - 1. Let t(q) = 8*q + 65. Let c be t(-8). Let v be x(c). Suppose 178 = v*y + 52. What is the lowest common multiple of y and 30?
210
Let m(i) = 18*i - 102. Let g be m(8). Find the common denominator of 1315/(-2520) - (g/16 - 3) and 23/6.
252
What is the common denominator of (76138/(-12768))/(-1) - (-10)/95 - 6 and -103/124?
10416
Suppose 5*z = -0*z + 215. Suppose -2*s + 80 = -5*l, -9 = s - l - z. What is the least common multiple of (3 + (-49)/7)*((-201)/12 - -16) and s?
30
Let r = 3600 - 1416. What is the smallest common multiple of 6 and r?
2184
What is the common denominator