 Let q = m - 2359/3. Calculate the common denominator of (-472)/63 - 6/21 and q.
9
Let s = -88 + 87. What is the common denominator of s*(9/(-21) - 1923/(-126)) and 73/168?
168
Let z(h) = -h**3 + 17*h**2 - 18*h - 40. Let l be z(15). Suppose -l = 3*v - 272. What is the least common multiple of v and 32?
352
Let f = -31004 + 2790253/90. Let k = -42235/18 - -2347. Calculate the common denominator of k and f.
90
Let r be 48/(-10)*((-870)/4)/1. Let l = -3202244 - -64065723/20. Let d = l - r. What is the common denominator of 119/24 and d?
120
Suppose -5*n + 2*n = 5*u - 177, 3*n - 33 = -u. What is the common denominator of 89/116 and 109/u - 22/(-99)?
116
Let x = -2255827/80 + 28198. Let u = 1439/420 - 38/21. Calculate the common denominator of u and x.
240
Find the common denominator of 133/3270 and 1436/110*(26/4 + -6) + -6.
35970
Let o(k) = -k. Let y be o(-9). Calculate the common denominator of 1270/26 + (-12)/(-78) and 1 - (768/y)/(-4).
3
Suppose 4*w - 190 = -3*s - 9, -s - 5*w + 42 = 0. Let n(h) = -h + s - 64 + 2*h**2 - 15*h + h**3. Calculate the lowest common multiple of n(-5) and 1.
8
What is the common denominator of 5/427 and (-336)/(-3528)*150/(-104)?
11102
Let i be ((-4)/(-10))/(20/25)*8. Let u be (167 + -4)/(i - 3). Suppose -f = -u + 137. What is the smallest common multiple of 2 and f?
26
Suppose -16*m + 13 = -83. What is the common denominator of (-350)/m*(-6)/45 and 107/36?
36
Suppose -593 = -3*i - 3*c + 7081, 2*i - 5141 = 3*c. Let d = i - 1045705/408. Let l = d - 161/204. Find the common denominator of l and -29/21.
168
Let r = -16/709 - -37300/19143. Calculate the common denominator of r and ((-508)/(-20))/((-84)/10).
378
Let d(z) = 5*z**2 + 3*z - 46. Calculate the smallest common multiple of 20 and d(16).
12820
What is the common denominator of (-19)/(-95) - (-4 - 29404/(-6820)) and -7/124?
1364
Suppose 5317 = -39*k + 8618 + 6059. What is the smallest common multiple of k and 36?
720
Let m(f) = -38*f - 4. Let w be m(22). What is the common denominator of -33/28 and (-3)/8 + (1 - (-1325)/w)?
84
Let i = -400 - -224. Let a = 7679/117 + -924/13. Find the common denominator of (-1972)/132 - 48/i and a.
9
Let m = -4/44065 + 126554692/132195. Let p = m - 936. Find the common denominator of (-12)/3 + (-1038)/(-36) and p.
6
Let w = -56 - 121. Let v = -18 + w. Calculate the common denominator of -13/36 and (-3 - 1) + v/10.
36
Let m = 124977334/1251 + -99902. What is the common denominator of m and 32/9?
1251
Suppose t + 3 = q, 3*t + 4*q = t - 24. Calculate the common denominator of t/(-33) - (-2518)/792 and -55/16.
144
Let d = -5333 - -5400. Calculate the lowest common multiple of d and 938.
938
Let h = 936314/45 - 20806. What is the common denominator of 77/1500 and h?
4500
Let j = -348 + 353. Suppose -5*a + 25 = 0, -j*a = -8*m + 7*m - 7. Calculate the least common multiple of m and 90.
90
Let d = 840091 - 766162879/912. Calculate the common denominator of -19/15 and d.
4560
Let i = 4/21987 + 234308/1209285. Calculate the common denominator of i and -89/22.
330
Suppose -m - 7*c + 24 = -3*c, 0 = 5*m + 2*c - 210. What is the smallest common multiple of ((-120)/(-80))/(3/m) and 18?
198
Suppose -154*a = -151*a + 45. Let t = -23 - -34. Calculate the lowest common multiple of a/(-2) - 70/28 and t.
55
Let y = 16345/4 + -4066. Let j be 21/49 + ((-6588)/(-5271))/(-3). Let o = 2791/2510 - j. What is the common denominator of o and y?
20
Let d be 15/((-4125)/(-190))*(-10)/(-12). Let o = d + 956/231. Find the common denominator of 2/35 and o.
35
Let y = 16043 - 16031. Calculate the least common multiple of 660 and y.
660
Let a = 8926 + -8791. What is the lowest common multiple of a and 153?
2295
Let l(g) = -g**3 - 11*g**2 + g + 10. Let j be l(-11). Find the common denominator of ((-2 + 28)/(-1))/(264/(-18)) and 3 + j + 67/(-8).
88
Let y = 223 + -126. Suppose -95*v - 10 = -y*v. Suppose 28 = 5*g - k, -g - 3*g + 5 = v*k. What is the lowest common multiple of g and 10?
10
Find the common denominator of 29/3158 and (-18)/((-18)/3) + (6 - 287/22).
34738
Let s be (-4)/2 - 0/(-4). Calculate the common denominator of s/3*(-27)/54 and -20/13.
39
Let w = 12572976 + -264088481/21. Let x = -2665 - w. Let f = 2847 - 68309/24. Calculate the common denominator of x and f.
168
Suppose 2*p = 2*r - 4, -r + 0*p = -2*p - 1. Let i(h) = -47*h**3 + h**2 + h + 1. What is the lowest common multiple of r and i(-1)?
48
Let p be 52/13 - (6/(-3) + -15). What is the common denominator of (-3)/24 - (9 + p/72) and 1/(-6)*(6 - -1)?
12
Let t be (-2292)/14*(-7184)/144. Suppose 3 = i + 2*i, 4*i - 16342 = -2*v. Let l = v - t. What is the common denominator of -2/9 and l?
63
Let a be (-13759)/(-3416) + 4*(-4)/(-56). Let o = 23/122 - a. Let b = 2719/6 + -470. What is the common denominator of o and b?
24
Calculate the least common multiple of 112 and (-137 - -129)/(1/(-16)).
896
Let u be (4*6/18)/(1/3). Suppose -3*t - 88 = 47. What is the common denominator of u + -1 + (245/t)/(-1) and -17/24?
72
Suppose 16*q - 280 = 2*q. What is the lowest common multiple of 20 and q?
20
Let u = 7255 - 11310557/1559. Let y = u - 216413/37416. Find the common denominator of y and -91/24.
24
Let i(s) = -13*s + 11. Let v be i(2). Find the common denominator of -3*v/9 - 34/51 and -14/75.
75
Suppose -11*j + 4107 = -j - 21473. Calculate the lowest common multiple of 8 and j.
10232
What is the smallest common multiple of (-3390)/(-54) - (-22)/99 and 84/(-12)*(-2 + 1)?
63
Let p be (38/7752)/((-10)/(-2308)). Let s = 47/17 - p. Find the common denominator of 71/48 and s.
240
Suppose 0 = -2*j - f + 22, j - f - 26 = -j. Let z be (4 + -2)/(6/j). Suppose -z*w = -11*w + 70. Calculate the least common multiple of 10 and w.
10
Let y = -357 + 271. What is the common denominator of (-97)/388*y/4 and 121/6?
24
Suppose 2*r = -5*v - 6099, -5*v + 7 = 2. Let b = r + 4480. Let k = -19967/14 + b. What is the common denominator of k and 17/4?
28
Let g(u) = 4*u + 1. Let c be g(-3). Let d be ((-11)/(c/10))/1. Suppose d*n = 8*n + 24. Calculate the least common multiple of n and 100.
300
Suppose 3*k + 4 - 19 = 0. Let b be (56/6)/(10/45 + 0). Suppose -5*x + b = 17. Calculate the smallest common multiple of k and x.
5
Let u = -1760/10578429 - 34642404947521/423137160. Let s = -81869 - u. What is the common denominator of -73/70 and s?
840
Suppose 69*v - 147*v + 67*v = -66. What is the smallest common multiple of 314 and v?
942
Let o = 228 - 252. Let c = 0 - o. Calculate the lowest common multiple of c and 4.
24
Let w be (-1657)/(-37492)*37 + 0. Let t = 6/9373 - w. Calculate the common denominator of t and (-402)/91 + 10/(-65).
364
Suppose -2*u = -5*n - 2503 + 208, 5*u + 3*n = 5815. What is the smallest common multiple of u and 725?
5800
Suppose 5925 = -4*i - 1115. Let m = -1526613/865 + -631/865. Let a = m - i. Find the common denominator of a and -11/5.
5
Let q = -32 + 48. Suppose -21*h = -9*h + 14*h + 109*h - 1350. What is the least common multiple of h and q?
80
Find the common denominator of 50/1203 and ((-1)/5)/((-42)/350).
1203
Let w(q) = q**2 + 7*q + 41. Let b(o) = -3*o**2 + 5*o + 11. Let v be b(-2). What is the lowest common multiple of w(v) and 30?
510
Suppose b = -10*d + 7*d + 7780, -12964 = -5*d - b. Suppose 4*i = -28*i + d. Calculate the lowest common multiple of i and 45.
405
Let o = -92865751/386 + 240585. What is the common denominator of o and 8/9?
3474
Let s = -36 + 39. Suppose -g + s*p = -2*g - 10, 5*p + 28 = 4*g. Suppose h + 68 = 3*z, 5*z - 63 = g*h + 51. Calculate the least common multiple of z and 6.
66
Calculate the common denominator of 67/20 and ((-4)/(-56))/((-765)/73916) - -7.
1260
Let s = 66269/15810 + 22/527. Let t be 1 + (-1 - 0)*1. What is the common denominator of t + (-1)/(-3) + 0 and s?
30
Let t = 218184 + -1102151/5. Let w = -180141/80 - t. Find the common denominator of w and (-130)/(-100) - 1/(-1).
80
Let g(h) = 246*h - 6. Let n(w) = 8*w**2 + 5*w - 2. What is the least common multiple of g(1) and n(-2)?
240
What is the common denominator of 11/10496 and (-5)/20*(-180)/(-12)?
10496
Let n be 77541/(-364) - 9/((-234)/(-4)). Let j = n - -1641/7. Calculate the common denominator of j and ((-5427)/120)/9 + (-6)/10.
8
Suppose -28*t + 3480 = -8*t. What is the least common multiple of t and 1 - (-18 - (-3 - 