. What is the common denominator of ((-148)/20 + -8)*10/n and 43/22?
88
Suppose n - 4 = 2*n. What is the common denominator of 388/144 + ((-272)/64 - -4) and 64/(-10) - (-2 - n)?
45
Suppose 406*t - 4*b + 3320 = 411*t, 6*t - 4*b - 3940 = 0. Calculate the least common multiple of t and 75.
3300
Calculate the common denominator of -1 - (2/(-6) - ((-281)/18 - -9)) and 8/137.
2466
Calculate the lowest common multiple of 462 and (20/15)/((644/2331)/23).
17094
Let m(k) = -k + 87. What is the smallest common multiple of ((-4 + 6)/(-4))/(6/(-1824)) and m(23)?
1216
Let w = -840 + 868. Calculate the lowest common multiple of 386 and w.
5404
Let a(b) = 2994*b**2 - 4*b + 16. Let h be a(4). Suppose -14*v + h = -30524. Let p = -61662/11 + v. Find the common denominator of -9 and p.
11
Let h(c) = c + 22. Let q be h(-14). What is the smallest common multiple of 4/(8/(-6)) - (-50)/5 and ((-12)/8*q/(-6))/2?
7
Let c(l) = 51*l - 63. Let r be (3/12*4)/((-1)/(-3)). Calculate the lowest common multiple of 90 and c(r).
90
Suppose 0 = -21*a + 55 + 50. What is the smallest common multiple of 7 and a?
35
Let h(c) = 8*c + 35. Let k be h(-3). Suppose -k*i + 10*i + 6 = 0. What is the smallest common multiple of 76 and i?
228
Let t = -3871163353/5736 - -674889. Find the common denominator of t and -91/7170.
28680
Let y be 254696/(-224520) + (-2 - 36/(-15)). Let r = y + 2/1871. Calculate the common denominator of 35/4 and r.
60
Let a = 40/10269 + 11003/6846. Let o = -313/7 + 8263/210. Calculate the common denominator of o and a.
90
Find the common denominator of 47/3120 and (10/(-15) - (-26502)/155232) + 4/14.
34320
What is the common denominator of 6856/1568 + -7 - -3 and -101/308?
2156
Let t = 557 + -804. Let b = t - -447. Calculate the smallest common multiple of 12 and b.
600
Suppose 867*b + 14 = 880*b - 64. What is the lowest common multiple of 2024 and b?
6072
Suppose -5*t + 28 = 2*t. Suppose -t*j = -1 - 3. Calculate the common denominator of j*2 - (356/(-8) + 4) and -5/28.
28
Let k = -260 + 260. Suppose 10*w - 73 + 53 = k. Let a = -7 - -27. What is the least common multiple of w and a?
20
Suppose 211*y - 212*y + 5 = 2*m, 3*m - 4*y = 46. Calculate the lowest common multiple of m and 249.
498
Let p = 27 - 31. Let h be (-4)/102*p/((-6352)/12). Let z = h + 67556/222717. What is the common denominator of z and 13/12?
132
What is the smallest common multiple of 21 - (-11)/(143/1833) and 162?
162
Let l(v) = 2*v - 2. Let w(u) = 11*u + 323. Let f be w(0). Let p = f + -319. Calculate the lowest common multiple of l(3) and p.
4
Suppose 3*z - z + 5*u = 37, -5*z - u = -81. Let n = z - 9. Calculate the least common multiple of n and ((-20)/(-24))/(5/30).
35
Suppose 4*y = t + 1021, 5*y + 10*t - 6*t - 1271 = 0. What is the least common multiple of y and 60?
1020
Suppose 3*a + 3 = n, -6*n + 6 = -4*n - 2*a. What is the common denominator of ((-75)/20 + n)/((-2)/(-19)) and (-4)/6 + (-194)/(-24)?
24
Let f(d) = d + 153. What is the lowest common multiple of f(-83) and 480?
3360
Suppose 46*o - 5 = 41*o. Let g be (3/(-2))/(-1*o/2). What is the common denominator of ((-2)/8)/(635/(-205) + g) and -55/24?
48
Let i(c) be the second derivative of -c**5/20 - 5*c**4/6 + c**3/6 + 7*c**2 - 4*c. Calculate the least common multiple of i(-10) and ((-5)/5)/((-7)/56).
8
Let w(c) = 5*c**3 - 3*c - 4. Let r = -1573 + 1593. What is the smallest common multiple of w(3) and r?
1220
Let s = -16430 - -18194. What is the lowest common multiple of 168 and s?
3528
Let j = -533 + -6032. Let y = j + 144459/22. Let u = -6053 - -133085/22. Calculate the common denominator of u and y.
22
Suppose 7*l = -2*l + 4*l. Find the common denominator of (21/(-6) - l)/(1/13) and (149/18)/((-3)/9).
6
Calculate the least common multiple of 40 and (-56)/42*3*540/(-3).
720
Let j = -4396 + 4461. What is the smallest common multiple of 195 and j?
195
Suppose 53944*y - 53697*y = 27911. What is the lowest common multiple of y and 1 + -2 + 6*1?
565
Suppose 0 = -120*o + 4*o + 152045 + 5251. What is the smallest common multiple of 8 and o?
2712
What is the common denominator of 3/2320 and 9225/73080 - 8/56?
16240
Let q(g) = 3*g**2 - g + 6. Let n be (-13)/4 - (-14)/56. Let k be q(n). What is the common denominator of -41/8 and k/(-120)*24/(-2)?
40
Suppose 0 = 37*l - 41*l + 5*y + 9, 0 = 4*l + 2*y - 2. Let i = -10 + -10. Find the common denominator of -31/34 and (l/i)/(16/3616).
170
Let r be (-36493432)/(-644) - (-22 - -14). Let m = r - 56675. Calculate the common denominator of 33/70 and m.
1610
Let t = -12354/11 - -146653/132. Let a(g) = 15*g**2 + g + 2. Let s be a(2). What is the common denominator of 12/(-9)*(-564)/s and t?
12
Suppose -12*n = 1367 + 277. Find the common denominator of 59/141 and (-2)/(-8) - 9/(-756)*n.
987
Let o(k) = -7*k**2 - 4*k. Let g be o(3). Let y = 125 + g. Find the common denominator of -127/6 and (3/6)/(y/235).
60
Let k(j) = 8*j - 89. Let d be k(12). Let x(g) = g + 9. Calculate the smallest common multiple of x(d) and 16.
16
Let u = -1/2028 + 84167/10140. Find the common denominator of u and 49/5223.
52230
Let f(u) = -5*u + 30. Let y be (-6 - -4 - -8)*(-2)/(-3). Calculate the least common multiple of 8 and f(y).
40
Let q(a) = -3*a**3 - 13*a**2 - 7*a - 5. Suppose -26 - 9 = -5*w. What is the lowest common multiple of w and q(-4)?
7
Let p be 75/9 + (-1)/3. Suppose 2*z + 216 = p*z. Suppose z = 2*d - 0*d. What is the lowest common multiple of 2 and d?
18
Suppose 581 + 805 = 6*w. Suppose 4*x - 8 = 0, -258 = -3*q - 4*x + x. Calculate the least common multiple of q and w.
924
Let n = 276/73 - 7619/876. Let k = 1822 + -2577. Calculate the common denominator of -2 - (k/165 - -5) and n.
132
Let r = -345 - -81. Calculate the common denominator of -8 + (-11)/(r/117) and 51/116.
232
Suppose -6*d = -4*d + 3*l - 21, -3*d = -4*l - 40. Find the common denominator of -69/118 and d/(-48)*6*101/(-12).
472
Suppose 6 = 87*h - 89*h. Let u be 25516/(-1248) - (30/65)/h. Let q = 79/6 + u. Find the common denominator of 34/11 and q.
88
Suppose -4*m - 8 = 6*o - 11*o, -5*o = 0. What is the common denominator of 88/21 and ((-1602)/168)/(6*m/8)?
42
Let w(y) = y**3 + 1. Let z be w(1). Find the common denominator of (-5)/(1080/(-2032))*(-6)/8 and (-148)/8*z/(-12).
36
Let b = -60 + 111. Let a = -49 + b. Suppose -a*j - 40 = -7*j. What is the least common multiple of 6 and j?
24
Find the common denominator of (1647/10)/(-9)*((-114)/(-18) - 7) and -8/1069.
5345
Let z be 3 - (17 - 14) - (-155)/(-2). Let a = z - -101. Find the common denominator of 54/7 and a.
14
What is the common denominator of (42/(-140))/(2 + -7) and ((-4)/(-3) - 1) + (-20)/(-165)?
550
Let m = -2349 + 5037. Let r = 72560/27 - m. Let x = 635/54 + r. What is the common denominator of -121/30 and x?
30
Suppose -270 = -20*g + 445 + 845. What is the lowest common multiple of g and 156?
156
Let b = -17 + 22. Let s be 1*b*(-6848)/80. Find the common denominator of 51/5 and (s/24*1)/(-1).
30
Let z be -6 + 59934/(-72) + 1/6. Let p = z + 843. Calculate the common denominator of p and -115/56.
56
Let q = 1433717/75 - 19116. What is the common denominator of q and -38/945?
4725
Let p = -136748/15 + 9111. Calculate the common denominator of (-9)/(-48)*((-342)/15390)/(1/582) and p.
120
Suppose -m - 194 + 222 = 5*r, -2*m + 28 = 3*r. What is the lowest common multiple of m and 96?
96
Let k(c) = -c**3 + 9*c**2. Let x be k(9). Suppose x = -359*g + 352*g + 224. Calculate the lowest common multiple of 28 and g.
224
Let a(i) = 10*i**2 + 2*i - 1. Let o be a(1). Let p = 28 - o. Suppose p*c = 20*c - 6. What is the lowest common multiple of 9 and c?
18
What is the common denominator of (-12)/24 - 84/10 and (-1)/((-2 - 82/(-17)) + 1)?
130
Let n(d) = d**3 + 4*d**2 + 3*d + 3. Let q be n(-3). Suppose -13*w + 200 = -q*w. What is the least common multiple of w and 40?
40
Suppose 0 = -5*y - 8 - 22. Suppose 4*h = -3*j - 2086, 10*j + 2613 = -5*h + 9*j. Calculate the common denominator of 87/8 and h*2/288 + (-3 - y).
144
Let f = -122 - -153. Suppose 0 = 6*c + f - 235. Let g = -7 + 18. What is the least common multiple of c and g?
374
Let f = -241/7976 - -431693/12538272. Find the common denominator of -6 and f.
12576
Calculate the common denominator of -10 + (-19446)/(-1944) + (-12)/27 and 101/2.
324
Suppose -4*p +