et y be -4 + (-1)/(38/(-220)). Let d = y + 1441/76. Calculate the common denominator of 2 + (-26)/(-32)*-9 and d.
16
Suppose 0 = -z - z + i + 467, -4*i = 5*z - 1148. Suppose 0 = 15*f - z - 68. What is the lowest common multiple of ((-292)/5)/(35/(-25) - -1) and f?
1460
Let m(y) = 24*y + 2648. What is the lowest common multiple of m(-108) and 552?
3864
Let c be (-14462)/(-10941) - 8/6. Let x = 28673/1563 + c. What is the common denominator of x and ((-298)/(-8))/((-27)/6)?
18
Calculate the common denominator of (-16)/12*(-2 - 7494/(-3664)) and 55/54.
12366
Let f be (-4152)/(-27) - 6/(-27). What is the common denominator of (88/f)/((-36)/406) and 25/81?
81
Let l = 4/70353 + 1430231/4924710. What is the common denominator of -95/294 and l?
1470
Let x = 19670 - 19663. Suppose -4*u - 5*l + 641 = 0, 2*l - 3*l + 1 = 0. What is the smallest common multiple of u and x?
1113
Let p be 188/(-130)*5/(-7). Let d = 59872/57785 - p. Let r = d - 1959/1016. Calculate the common denominator of 11/12 and r.
120
Suppose -2*q = -0*q - 30. What is the smallest common multiple of 18/4 + (49 - (-2231)/(-46)) and q?
15
Let h = -154/2777 - -445097/4570942. What is the common denominator of 27/16 and h?
13168
Let k = 4668 - 4578. Calculate the least common multiple of k and 355.
6390
Let z = 39190 - 2351507/60. What is the common denominator of z and 22/108 - (-6)/9?
540
Let w = 7 - 4. Calculate the least common multiple of 7 - (-5)/(-14 - -7 - -12) and 6/w + 13 + 1.
16
Suppose 309 - 543 = -9*p. Suppose -p = -10*r + 174. What is the smallest common multiple of r and 828?
4140
Suppose 0 = 2*y + v - 2049, 2036 + 31 = 2*y - 5*v. Calculate the lowest common multiple of y and 1368.
4104
Calculate the least common multiple of (-8)/22 + (-4625)/(-407) + 430 and 75.
11025
Suppose b - 1300 = -5*g, 4*b - 6653 = g - 1495. Calculate the smallest common multiple of b and 30.
1290
Let y be ((-4)/3)/(1/(-3)). Suppose -6*l + 1424 = -y*l. Calculate the common denominator of (-6)/15 + l/30 and -49/3.
3
Suppose 0 = -26*d + 36*d - 300. Calculate the least common multiple of d and (-1)/(-1*(-1)/(-30)).
30
Suppose 0 = -22*h + 213*h - 10845 - 9210. What is the least common multiple of 165 and h?
1155
Let o be 938/158 - 60/10. Let l = o - 3895/869. Calculate the common denominator of l and -63/2.
22
Let a(b) = -3*b**2 - 6*b + 11. Let p be a(6). Let w = p + 142. What is the least common multiple of 1 + 1 + 1 + 0 and w?
9
Let r = 25 - 31. Let s be (-1098)/10 - r/(6/2). Let c = -118 - s. Find the common denominator of c and -4/43.
215
Suppose -3*p + 10 = 4*y - 0, -p = -2*y - 10. Let l be (-4)/(-2) - (2 - (6 + -3)). Suppose l*c + 5*c = 56. Calculate the lowest common multiple of p and c.
42
Let h = 18 + -13. Suppose 0 = -h*i + 993 - 153. What is the smallest common multiple of i and 10/5 + -10 + 18?
840
Let k(g) be the first derivative of -10*g**2 - 3*g - 118. What is the lowest common multiple of 6 and k(-1)?
102
Let q = -4151184/11 + 36571930127/96910. Calculate the common denominator of q and 17/80.
70480
Suppose 191*v = 186*v + 26505. What is the common denominator of v/1350 + (-10)/6 and 11/20?
100
Let k(o) = -59*o - 12. Let t be k(3). Find the common denominator of -37/6 and (-1053)/24*18/t.
84
Let o = -77 + 67. Let k(z) = -z**2 - 11*z - 12. Let i be k(o). Calculate the common denominator of -71/8 and 329/140*i + (-2)/5.
40
Let m = 5622/1351 - -24/193. Let b be ((-2)/(-4))/(2/(-712)). Calculate the common denominator of m and 2 + -1 - b/20.
70
Calculate the common denominator of 31/80 and (-32)/64 - 166/(-100) - 1.
400
Let m(b) = -b**3 - b**2 - 12*b + 3208. Calculate the smallest common multiple of m(0) and 2406.
9624
Let h be (-2979)/(-45) + ((-2)/10)/1. Suppose -b + 3*b - h = 0. What is the least common multiple of -3 + 3 + 4 - (0 - 14) and b?
198
Let x = -882/47 + 41089/2162. Calculate the common denominator of x and -97/62.
1426
Let s = 1504 + -853. Let n = s - 618. Let a(j) = j**2 - 3*j + 5. Calculate the least common multiple of n and a(5).
165
Let f(t) = -t**3 - 34*t**2 + 3*t + 99. Let d be f(-34). Find the common denominator of (12/64)/(1/d) and 43/52.
208
Let u be 4/(-10)*(144 - -6)/5. Calculate the common denominator of (-1696)/(-448)*(-7)/u and 2 + -2 + 100/54.
216
Let x = -156 + 123. Calculate the common denominator of 11/x + 97/6 and -51/4.
12
Let j = -2733/8 + 895/24. Let w = 321 + j. Calculate the common denominator of 2/(-4) - (-93)/22 and w.
33
Suppose -4272 = -9*b - 80*b. Let d(z) = -5*z - 1. Let s be d(1). Calculate the smallest common multiple of 44 and (b/18)/((-2)/s).
88
Find the common denominator of -137/252 and (-3*(-41)/(-18))/(7/((-14)/(-60))).
1260
Let m be (4 + -501)*(-12)/14 + 2. Find the common denominator of (-3)/(-9) + m/144 and 77/18.
36
Let p = 40 - 36. Suppose 3*f + 3 = 0, 3*n + p*f = 3*f + 11. Suppose -5*b = -3*u + 40, 3*u - 3 = -n*b - 8. What is the least common multiple of 1 and u?
5
Let b(u) = 2*u**3 - 22*u**2 - 48*u + 66. What is the least common multiple of 2280 and b(14)?
2280
Let b = 36716202958/781 - 47011790. Let g be ((-2)/(-142))/((117/(-864))/13). Let f = g - b. What is the common denominator of f and -29/35?
385
Let o = -5056 - -11299. Let j = o + -11199. Let h = 69423/14 + j. Calculate the common denominator of h and 3/8.
56
Let i(u) = -1379*u**3 + 6*u**2 + 9*u + 4. Let r be i(-1). Let f = 22051/16 - r. Calculate the common denominator of -45/64 and f.
64
Let s = -280445/8 + 33906. Let h = -1152 - s. Let b = -38183 + 3360193/88. What is the common denominator of b and h?
88
Suppose -255*g + 236*g = -14193. What is the smallest common multiple of g and 33?
8217
Let k = -12 + 30. Let g(f) = 92*f - 1742. Calculate the least common multiple of k and g(19).
18
Let v = -58883 + 4710707/80. Calculate the common denominator of 119/290 and v.
2320
Let k(w) = w**3 - 7*w**2 - 11*w - 15. Let h be k(9). Let s be (-120)/h*16/(-2). Suppose -s*d + 19*d = -10. What is the lowest common multiple of 10 and d?
10
Let v(s) = s**2 + 13*s - 1. Let n be v(-14). Suppose 30 = -18*a + n*a. Let o = a - -16. Calculate the lowest common multiple of o and 7.
70
Let d = -86/15 - -391/90. Suppose 9*c + 664 = 5*c. Find the common denominator of 6/12 + c/(-48) and d.
72
Let m = 3/347 - -14173/6246. Let o = 2931 + -1801. What is the common denominator of o/56*46/(-115) and m?
126
Suppose -5*z - 309 - 481 = -5*b, -321 = -2*b + 3*z. What is the smallest common multiple of 18/(-10) + 2 + (-298)/(-10) and b?
1530
Suppose -4 = -4*q - 0*q + 4*a, 0 = -2*q - 2*a + 14. Let b = -22 - -40. Let r = -8 + b. What is the lowest common multiple of r and q?
20
Let w = -51 - -59. Let u = 20 - 18. Suppose 0 = -q + u*q - w. What is the smallest common multiple of 26 and q?
104
What is the common denominator of -6*(-24)/(-54)*9/198 and 133/1842?
20262
Suppose 0 = -2*s + 4*w - 2536, 2*s + 2*w = w - 2551. Let a = 15341/12 + s. Let i = -1333/360 - 94/45. What is the common denominator of a and i?
24
Let h be ((-38842)/291 + 0)*69/(-1610). Let o = h - 3/485. What is the common denominator of (22*5/(-170))/(4/(-10)) and o?
238
Let i = 33852 - 69355. Let m = i - -3266195/92. Calculate the common denominator of m and -83/4.
92
Suppose 0*k + k + 5 = 0, 5*k = -o - 18. Suppose 0 = 2*q - 8*w + 16, 14*q + 4*w - 24 = 11*q. Calculate the lowest common multiple of q and o.
28
Let f be (3218/(-8))/(51/(-34)). Let z = f + -12707/48. What is the common denominator of -91/278 and z?
2224
Suppose -2 - 96 = -2*i - 5*o, 4*o + 278 = 5*i. What is the smallest common multiple of 1344 and i?
12096
Let l be (21/(-707))/((-1)/(-44)). Let x = -26759/7878 - l. Calculate the common denominator of -1 - (0 + (-29)/(-18)) and x.
234
Let z = 1922489/105 + -18310. Calculate the common denominator of z and 1/2037.
10185
Let d = 350903/2700 - 3246/25. Find the common denominator of -73/240 and d.
2160
Let q be (-9045)/(-150) + (-9)/30. What is the smallest common multiple of 9 and ((-61)/(-122))/(2/q)?
45
Calculate the common denominator of 6/(-4) + (-468)/(-4536)*51 and 79/1239.
1239
Let q = -428/500325 - -516021167/17011050. Let i = q + -968/35. What is the common denominator of 49/6 and i?
102
Let r = 2399 - 2379. What is the lowest common multiple of 15094 and r?
150940
Suppose -3*l + 20 = 5*r, 0 = 4*l + l - 4*r - 58. Let w = 