t common multiple of 225/18*(-32)/(-10) and f(0)?
120
Let y(r) = r**2 + 5*r - 28. Let w be y(-8). Let f be (-6 - (-5 + 2)) + (-1721)/w. Let d = -434 + f. Find the common denominator of 7/22 and d.
44
Let x be 2/(-14) + 213597/(-7). Let l = -213256/7 - x. Let k = l + -4105/77. Calculate the common denominator of -31/2 and k.
22
Suppose -3*z = -v - 2*z + 33, -5*v = -2*z - 174. What is the common denominator of 692/(-28)*(-6)/v and 77/12?
84
Let u = -5869072/4259745 - -2/94661. Find the common denominator of u and 181/180.
180
Let i = 2700 + -3805. Calculate the common denominator of i/(-286)*3/(-15) and -5/342.
3762
Let r be (-42)/(-35)*(493/(-2) - -4). Let a = 303 + r. What is the least common multiple of 108 and a?
108
Let w be (-162)/45 + (-2)/5. Find the common denominator of (104/6)/w*-9 and (-2)/9 - 1364/(-468).
13
Suppose 4*m + 2*i = -20, -23*i = 5*m - 25*i + 16. What is the lowest common multiple of (-7)/(-14)*(1 + m)*-12 and 15?
90
Let o = -1754/7 + 34639/140. Find the common denominator of o and -19/20.
20
Let c = 8828 + -8813. What is the least common multiple of 196 and c?
2940
Find the common denominator of ((-505)/(-2190))/(32/(-48)) and -101/20.
1460
Let k = -11 - -16. Suppose -2*y = g - 3*g - 32, 2*g = 13*y - 153. Suppose k*f = y*f - 12. What is the smallest common multiple of 3 and f?
6
Find the common denominator of 7/170 and 2255/450 - 5 - 9/15.
1530
Suppose -89 - 229 = -3*n + 2*p, -2*n = 2*p - 222. Let s be (314232/n)/(((-110)/(-48))/(-5)). Let h = -6347 - s. What is the common denominator of h and -37/21?
231
Suppose 0 = c - s - 8, -s + 3*s = 5*c - 28. Let i(y) = 2*y - 6. Let w be i(c). Calculate the common denominator of 52/27 and 3/39*w + (-1668)/(-819).
189
Suppose -5*c = 15*c - 7 - 13. Calculate the lowest common multiple of c and 10550.
10550
Let y = -4104 - -4158. What is the lowest common multiple of y and 21?
378
Let p = 403073 - 56026891/139. Let w = p - 18149/3892. Find the common denominator of 4/63 and w.
252
Let i be 64/11 - ((-318)/(-66) - 5). Suppose 4*j = -t - i - 4, 4*t - 2*j = -4. What is the common denominator of (-1)/(t/6 - 14/18) and -61/20?
20
Let a be 15/12 + (-18)/(-24). Suppose 7*d - 2075 = a*d - 5*j, -d + 403 = 5*j. Let t = d + -1715/4. Find the common denominator of t and -13/10.
20
Suppose -6*u + 4 = -4*u. Suppose 2*f - u*p = -0*p + 98, -4*f = 3*p - 161. Calculate the lowest common multiple of f and 20.
220
Calculate the common denominator of -149/396 and 2/(-9)*(-1947)/(-3776).
3168
Let v(j) = j - 9. Let z be v(17). Let g be 1 + (z/6)/((-3)/(-432)). Suppose -8*o + 23 = -g. Calculate the least common multiple of o and 21.
189
Let u = 385168 + -169474047/440. Find the common denominator of -43/400 and u.
4400
Let s = 71664356/345 - 207723. Calculate the common denominator of s and 76/45.
1035
Let g = -12323 + 246361/20. Let x = 79197/26528 - -38/829. Find the common denominator of g and x.
160
Let n(f) be the second derivative of f**5/20 - 11*f**4/12 + 2*f**3 + 9*f**2 + 27*f - 2. Calculate the smallest common multiple of 11 and n(10).
418
Let n(x) = x**2 - 27*x - 135. Let s be n(-5). What is the smallest common multiple of 54 and 270/s*(-25)/(-15)?
54
Suppose 19*p + 3*o = 17*p - 8, 0 = -5*o. Let f(l) = -19*l + 28. What is the least common multiple of f(p) and 32?
416
Let q = -98 - -100. What is the least common multiple of 30 and q/(-3)*990/(-12)?
330
Let v = -53909 + 14285824/265. What is the common denominator of v and 55/318?
1590
Calculate the common denominator of 151/216 and (-8)/(-92) + (25034/3588 - 5).
2808
Let s(v) = v**2 - 59*v + 422. What is the lowest common multiple of s(8) and 12?
84
Let l = -54 + 54. Suppose -7*q + 76 + 22 = l. Find the common denominator of -5/6 and (-2 - q/(-4))*196/12.
6
Let z(w) = -14*w + 102. Let j be 1*(3 - 3 - -5). Calculate the least common multiple of 16 and z(j).
32
Suppose 3*t = -5*l + t + 182, l = t + 35. Suppose -w + l = 76. Let q = w - -46. Calculate the lowest common multiple of 1 and q.
6
Let p(m) = m**2 + 9*m - 18. Let a(g) = 2*g**2 + 7*g - 17. Let t(u) = 6*a(u) - 5*p(u). What is the smallest common multiple of 14 and t(4)?
616
Let t(p) = p**2 + 10*p + 4. Let r be t(-10). Let f = -276047/43182 + 9/2399. Calculate the common denominator of 3 + r/(144/(-238)) and f.
18
Let f = 356 + -186. Calculate the smallest common multiple of (11/66)/(38/1368) and f.
510
Suppose -6*h + 4*h + 2*k + 52842 = 0, 0 = 2*k + 2. Suppose -3*r = -8*r + h. Let a = 42215/8 - r. Find the common denominator of a and 143/24.
24
Let m = -18 + 60. Suppose d - p - m = 2*p, -130 = -5*d - p. Suppose 3*z - 39 - d = 0. Calculate the lowest common multiple of 46 and z.
506
Let y = 976 - 202. What is the smallest common multiple of 34 and (2/6)/(43/y)?
102
Let s = -19523/6765 + 76/205. Let y = -196 - -52. Calculate the common denominator of s and (3/y)/(6/(-588)).
264
Calculate the lowest common multiple of (52/(-104))/(4/(-2744)) and 539.
3773
Let r be (-3)/((-1)/(18/4) + (-179087)/1962). Let d = 12905/34 - 3923241/10370. Let h = r - d. What is the common denominator of 52/11 and h?
55
What is the common denominator of 121/36 and (-24)/(-18846)*(-1995)/(-456)?
12564
Suppose 0 = 6*y - 4*y + 28. Let r be (-2 - y/6) + (-109748)/6. Let v = r - -987763/54. Find the common denominator of v and 67/4.
108
Let z(r) = 3*r - 22. Let p be z(8). Suppose 4*h + 11030 = 2*x, -2*h + 2*x + p*x = 5518. Find the common denominator of 59/8 and 4/18 - h/594.
88
Let j = -194791/161840 - -369/289. Calculate the common denominator of j and 83/64.
2240
What is the common denominator of ((-9)/(-54))/((-7)/1365) and -19/2904?
2904
Suppose -k + 20*k - 204 = 252. What is the smallest common multiple of 381 and k?
3048
Let o(a) = -13*a - 6. Let f(c) = -c**2 - 9*c + 8. What is the smallest common multiple of f(-9) and o(-8)?
392
Let i = -435145/471744 - -4/7371. Calculate the common denominator of i and -11/392.
3136
Suppose 9*m = 12*m + 48. Let o(r) = r**3 + 14*r**2 - 34*r + 8. Calculate the least common multiple of o(m) and 25.
200
Let s = -168761/272676 + -40/2199. Calculate the common denominator of s and -149/930.
1860
Let c be -15*6/9*1. Suppose 5*t - 5*o = -95, -2*t - 2*t + o = 70. Let j = c - t. What is the lowest common multiple of j and 18?
126
Let r(z) = -37*z + 160. Let d be r(6). Let j be 6*(18*2)/2. Let s = d + j. What is the least common multiple of 10 and s?
230
Suppose -2*n - 3 = -3*k + n, -3*k + n + 7 = 0. Let i(y) = 8*y - 6. Let j(o) = 3*o - 11. What is the least common multiple of j(9) and i(k)?
144
Suppose -36*y + 38*y + 3*q - 292 = 0, 716 = 5*y + 4*q. What is the smallest common multiple of y and 1288?
6440
Suppose 37*g - 12353 = 523. Calculate the lowest common multiple of g and 60.
1740
Let u be (-350)/(-40) + 8 + -2. Let t be (15/18)/(2/(-33)). Let i = t - u. What is the common denominator of -47/11 and i?
22
Let x(b) = -3*b + 1. Let v be x(2). Calculate the common denominator of (-9 + 5 + 13)/((-1)/v) and -167/60.
60
Suppose -9*l + 6*l = 3*c - 84, c = 4*l - 132. What is the smallest common multiple of 7 and 3 - (-4)/(l/1176)?
1050
Let k = -309803073/6644 - -46629. Find the common denominator of k and 15/4832.
53152
Let t(q) = -169*q + 25. Let n be t(-7). Let o be 5754/2700*n/362. Let z = o + -2/4525. Find the common denominator of z and -31.
9
Let n = -30 + 24. Suppose 35*s = 14*s + 126. Calculate the smallest common multiple of s and n/(-2) + (-26)/(-2).
48
Suppose p = -3*o + 1333, -11*o + 4024 = 3*p - 7*o. What is the common denominator of 14/p*(7 - 8)*6 and 133/6?
2022
Let s = -10058 - -211226/21. Find the common denominator of s and -49/96.
672
Let s = 2689/806 - 200/31. What is the common denominator of (-573)/(-702) + 2*(-6)/24 and s?
234
Let h = 2221 - 8931/4. Let l(y) = -496*y - 4. Let r be l(-10). Let c = r - 29671/6. Find the common denominator of c and h.
12
Let l = 838787/517005 - 2/11489. Find the common denominator of 81/225*(0 + 5) and l.
45
Suppose -3*j + 344 = d, 5*j + 50*d - 564 = 53*d. Suppose -j - 66 = -15*x. What is the least common multiple of x and 30?
60
Let l = -21150 + 21710. Let h(v) = -v**2 + 2*v + 1. Let p be h(-1). Find the common denominator of (-2)/5 + 648/l*p and -6/11.
77
Let k = -34 - -50. Let v(j) = -j**3 + 16*j**2 + 3*j + 8. Let w be v(k). Calculate t