t = 223/231 - 8/11. Let w(y) = -1455*y**3 - 4*y**2 + 5*y - 2. Let r be w(2). Let i = r - -209791/18. Calculate the common denominator of i and t.
126
Suppose 3*x + 913 = -3*c - 275, -x + c = 404. What is the common denominator of -97/30 and ((-354)/x)/(6/(-20)*4)?
240
Let i = -2281 - -1427. Let r = 3359/4 + i. Find the common denominator of 49/72 and r.
72
Let y be (-108)/90 + (-198)/(-15). Let m be (-6)/(-27) + (-74)/9. Let j = m + y. What is the least common multiple of j and 17?
68
Let z = 4010 + -3803. Calculate the least common multiple of 23 and z.
207
What is the common denominator of (-16)/(-72) + 3/((-43416)/2298) and 9/16?
1072
Let w = -56 - -111. Calculate the lowest common multiple of 1175 and w.
12925
Let c(k) = 4*k + 30. Let l be c(-8). Let o be ((-20)/25)/(l/120). Let d = 52 - o. Calculate the smallest common multiple of 6 and d.
12
Find the common denominator of 53/204 and 3/(9870/(-255) - -18).
17952
Let v be -34*(-7 - (-2 - 6)). Let a = -927 - -14841/16. What is the common denominator of a and (v/16 - -2)/(24/(-186))?
32
Let v(w) = -w**2 + 8*w + 9. Let p be v(9). Suppose -2*x + p*y = y - 31, 4*x - y = 65. Calculate the smallest common multiple of 24 and ((-42)/(-4))/7*x.
24
Let k(p) = -p**2 - 2*p - 8. Let r be k(6). Let o = 4602 - 4542. Let b = o + r. What is the smallest common multiple of b and 6?
12
Suppose 0 = 2*t - 4*o - 100, -4*t = -134*o + 131*o - 175. Let x = 26 + -18. Calculate the least common multiple of t and x.
40
Let c = 403937/429593792 - -18/44453. What is the common denominator of 81/20 and c?
48320
Calculate the common denominator of 73/12 and ((-24)/(-10) - 2)/(-8)*78883/52038.
2520
What is the lowest common multiple of ((-287)/41 - (-2712 - 0)) + 1 + 0 and 30?
13530
Suppose -1121 = 47*u - 2061. What is the lowest common multiple of u and 970?
1940
Let f = -35 - -40. Suppose -f*m - 3*n = 27, 2*m + 3*n + 2 = 4*n. Find the common denominator of (-115)/30 - (9/(-1))/m and 17/8.
24
Let b(f) = 6*f**3 + 2*f - 21. Let z be b(-10). Let y = 622232/103 + z. Let r = 689/1545 + y. Find the common denominator of -35/12 and r.
60
Let n be 0 - (-32858)/(-42) - 1/(-3). Let k = n + 1190. What is the least common multiple of 12 and k?
408
Suppose -3*k - 4*y + 6412 = 0, 0*y - 3*y - 6384 = -3*k. What is the common denominator of (-3)/(-15) - k/(-440) and -27/28?
308
Let d = 98204/53 + -1853. Let u be (-24718)/80 + (2 - -4). Let v = u - -1543/5. Find the common denominator of v and d.
424
Let u be 6 - (-9)/((-36)/8). Suppose -3*c + h = -121, 16*c = 18*c + u*h - 76. Calculate the lowest common multiple of c and 12.
120
Suppose h - 38 = -g, -5*g + 5*h + 57 + 63 = 0. What is the lowest common multiple of 649 and g?
20119
Let i = -3083 + 3094. Calculate the least common multiple of 15 and i.
165
Suppose 93*o + 3097 - 134887 = 146466. What is the least common multiple of o and 22?
2992
Let p(b) = 39*b**3 - 5*b**2 + 9*b - 13. Let n(a) = 10*a**3 - a**2 + 2*a - 3. Let q(g) = 9*n(g) - 2*p(g). Calculate the smallest common multiple of q(1) and 48.
48
Let z = -4130 + 6434. Calculate the lowest common multiple of z and 64.
2304
Let h(t) = 7*t**2 - 2*t + 3. Let f(j) = -j**2 + j. Let s(k) = 4*f(k) + h(k). What is the least common multiple of 4 and s(-3)?
24
Suppose -3*t = 6, 6 = i + t - 2*t. Let y = -22 - -210. Suppose -i*z + 0*z = -4*d + y, 0 = 2*d - 3*z - 96. Find the common denominator of d and -91/4.
4
Let i = -165 - -234. Let x = -41 + i. Let m = -20 + x. Calculate the lowest common multiple of m and 4.
8
What is the common denominator of -95/96 and -2*((-105)/(-28))/(-15) + 454/(-1056)?
1056
Suppose h + 2817 = 13*h - 3*h. What is the lowest common multiple of 7 and h?
2191
Let c(g) = 17*g**3 + g**2. Let d be c(-1). Let b = -7 - d. Calculate the least common multiple of ((-15)/7)/(-5) + (-2752)/(-602) and b.
45
Suppose -3*r - 6 = 0, 41 + 575 = k - 5*r. Find the common denominator of (3/9)/((-12)/k) and 7/4*-2*5.
6
Let w be 0 + 0 - (15 - -4). Let x = w + 22. What is the lowest common multiple of ((-286)/65)/((-4)/30) and x?
33
Let q = -2756 - -4621. Let l = q + -13079/7. Find the common denominator of l and 45/112.
112
What is the common denominator of (-34)/45661*2709/(-1548) and -25/2?
13046
Suppose 4*n = 5*k + 21, 4*k = 3*k - n - 6. Find the common denominator of (-138*k/165)/12 and -14/27.
594
Let x(n) = -2*n**3 - 5*n**2 + 4*n - 4. Let t be x(4). Suppose 5*a = -z + 8, 2*a = -10*z + 8*z. Calculate the common denominator of t/21*z/(-12) and -99/2.
18
Let l be 23/(414/27)*140/6. Calculate the common denominator of -39/16 and (-201)/(-480) + -6 + 238/l.
32
Let s be (0 + 1/2)/(14/33320). Let l = s - 688. What is the smallest common multiple of 12 and l?
3012
Let i(g) = 3*g**3 - 2*g**2 - g + 2. Let d be i(2). What is the common denominator of 370/1850 - 11/5 - 85/(-24) and 2 + 0 + (-292)/d?
24
Let k = 25704 + -462529/18. Suppose -j = 3*f - 425, -4*f + 512 + 54 = 2*j. Find the common denominator of k and 6/(-45) - f/(-120).
180
Calculate the least common multiple of 292 and (40/(-3) - -13)/((-2)/144).
1752
Calculate the common denominator of (-2)/19 - 194744/(-150480) and 20/(-3)*14/408.
1530
Let r be (-18441381)/690 - 8/(-20). Let q = r + 26725. What is the common denominator of q and 21/154*415/(-15)?
506
Let f = 1559009/62 + -25146. Calculate the common denominator of 5/31 and f.
62
Calculate the common denominator of 41/31 and ((-1)/68)/(56*(-10)/11840).
3689
Let l(o) = -7*o**3 - 2*o**2 - o + 2. Let p be l(1). Calculate the common denominator of 37/30 and (-27)/30*(p - 64/(-6)).
30
Let s(d) = d**2 + 8*d - 4. Let p be s(-9). Suppose 30 = -2*c - p*t, 0 = -16*c + 11*c + t - 21. What is the common denominator of -3/2 and c?
2
Let a(v) be the first derivative of -v**4/4 + v**3/3 + 27*v**2 - 7*v - 109. Calculate the least common multiple of 2 and a(-7).
14
Let k = 136/27 - 4043/540. Calculate the common denominator of k and 113/18.
180
Let p(r) = -r + 12. Let k be p(-8). Suppose y = -11 + k. Suppose -2*d = 5*n - 46, -23 + 57 = 5*n - 2*d. What is the smallest common multiple of y and n?
72
Suppose 10*r - 861694 = 8*r. Let j = r - 533388503/1238. Find the common denominator of 61/20 and j.
12380
Let n = -58 - -61. Suppose 0*k - 30 = -n*k. Suppose -4*q - 5*a = -130, 7*q - 96 = 4*q - 3*a. What is the least common multiple of k and q?
30
Suppose -5*x - 5 = 0, 107 = 2*q + 5*x - 2. Suppose -6*l + 3*z + q = -2*l, 3*z - 51 = -5*l. Calculate the smallest common multiple of 200/32 + 1 + 10/(-8) and l.
12
Let s = -2600 + 2912. Calculate the least common multiple of 8 and s.
312
Suppose 116 = 4*d - 2*g - 2*g, -d + 35 = 5*g. Suppose -112*u + 188*u = 912. Calculate the least common multiple of u and d.
60
Let g(x) = 2*x**3 - 17*x**2 + 153*x - 1144. Let m(f) = 3*f - 3. Let l be m(3). Calculate the least common multiple of g(8) and -2 + 8/l*6.
48
Let z = 9378 + -9028. Let h = 14 + -2. What is the least common multiple of z and h?
2100
Calculate the smallest common multiple of (-814)/(-14) - 1/7 - 4 and 126.
378
Suppose 1839*b = 991*b + 5936. Let n(j) = 25*j**2 - 8*j - 2. What is the lowest common multiple of b and n(6)?
5950
Let l = 1456/9 + -16403/99. Calculate the common denominator of l and (-50)/40 + 2962/2600.
3575
Let n(a) = -18*a - 1700. Let k be n(0). What is the common denominator of (1 - 0) + 1 + k/2250 and -32/5?
45
Let a = -11 + 113/4. Suppose 0 = 4*s + 8, 5*z = s + 236 + 16. Suppose -z = 5*r - 185. What is the common denominator of a and r?
4
Suppose 773*s = 5*q + 770*s - 192, -5*q - 4*s = -234. Calculate the smallest common multiple of 3174 and q.
22218
Let k = 1945/3 + -658. Calculate the common denominator of 27/(108/(-440))*2/(-12) and k.
3
Suppose 109*m = 102*m + 4459. Calculate the common denominator of -31/16 and (12 - m/26)*3/7.
112
Let d(y) = -y**2 + 8*y - 7. Let q be d(6). Let j be 1*(-10)/q + 25. Suppose 5*t - 47 = j. Calculate the least common multiple of t and 12.
84
What is the common denominator of 123/400 and (141/6*2)/(5670/162)?
2800
Calculate the common denominator of 0 + (-4)/30 - 1880216/(-10181520) and -31/1422.
1422
Suppose -1062*r + 1058*r - 276 = -b, -14 = -2*r. Calculate the smallest common multiple of 12 and b.
912
Calculate the common denominator of (-38)/(-144) + ((-5983)/(-248) - 24) and -143/30.
90
Suppose u + 