75
Let z = 8842733371/5260 - 1681128. Find the common denominator of z and -61/2630.
5260
Calculate the smallest common multiple of 143 and (8 - 5)/((-26)/(-9438)).
14157
Let l(d) = 92*d**2 + 251*d + 251. Let w(k) = k + 7. Let n be w(-14). Let o(q) = -q**3 - 6*q**2 + 3*q - 6. What is the least common multiple of o(n) and l(-1)?
1012
Let t be 1/(-3) - (32/(-6) - -2). Suppose t*q - 3 = -0*q, -4*y + 2*q = 882. Calculate the common denominator of 41/3 and (-21)/24*y/(-25).
30
Let y = -45242/21 - -2155. Let c = -109/21 + y. What is the common denominator of c and 3 + ((-44)/14)/(-2)?
7
Suppose 34*y = -7892 + 140. Calculate the common denominator of -25*(-4 + (-930)/y) and -7/5.
190
Let u(m) = -m**3 + 65*m**2 - 243*m - 50. What is the least common multiple of 48 and u(61)?
528
What is the common denominator of -151/72 and (-3)/(-2) + 487/(-414)?
1656
Let z(r) = 5*r + 1. Let u be z(-4). Let q(m) = -2*m - 18. Suppose 0*x = -x + 22. What is the smallest common multiple of q(u) and x?
220
Let w = 23/88809253 - 975513427951807/15275191516. Let v = w - -63862. What is the common denominator of v and (15/18)/(4/57)?
344
Let n = -640 - -1976/3. Suppose 21*r + 13 = d + 25*r, -16 = -4*d + 2*r. Find the common denominator of n and (-356)/8 + d/5.
6
Suppose 10*d - 7*d - 30 = 0. Suppose 4*u = 199 - 15. Calculate the common denominator of u and 62/(-22) - d/(-2).
11
Let f(t) = 14*t + 75. Let o be f(-5). Suppose -o*c + 36 + 39 = 0. Calculate the smallest common multiple of c and 9.
45
Let j = -17248 - -1552361/90. Calculate the common denominator of j and 1*(-4)/160*14.
180
Suppose -11*x + 9*x = -10. Let g = 3917/5 - 779. Find the common denominator of (-144)/46 + ((-40)/(-5) - x) and g.
115
Let k = -2/43 + 358/301. Let m = -338729 + 3384311/10. Let y = m - -571/2. Calculate the common denominator of y and k.
35
Let n(l) = l**3 - 8*l**2 - 12*l - 18. Let c be n(9). Let t be -6*4/8 - c. Calculate the lowest common multiple of 198/t - -2 - (-2)/7 and 3.
21
Let a = -542 - -536. Find the common denominator of -39/70 and a/72*129 - -8.
140
Let y be -1 - (-2)/(-2) - -2. Let d = 4 - y. What is the smallest common multiple of ((-18)/288)/(20/(-320)) and d?
4
Let r = 6109/7682 + -13/167. What is the common denominator of r and -45/256?
5888
Let x(y) = 2*y**2 + 14*y - 12. Suppose -2*h + 307 = 119. Let c = h + -102. What is the least common multiple of 6 and x(c)?
12
Let s(w) = w**3 + 9*w**2 - 34*w - 18. What is the smallest common multiple of s(-6) and 28?
588
Let g = 58544 + -4683579/80. What is the common denominator of 19/4656 and g?
23280
Suppose -2*y - f + 407 = 0, -4*y + f = -f - 826. Calculate the smallest common multiple of 533 and y.
2665
Suppose -3*v - 5*g = -2057, -2053 = -3*v - 5*g + 4*g. What is the common denominator of -69/16 and (-4)/6 + 375/v?
304
Suppose 4*z - 4*o = 4328, -5*z = -22*o + 23*o - 5422. Calculate the least common multiple of z and 6.
3252
Let l = 856631/24 + -35688. Calculate the common denominator of l and (-148)/(-288) + -1*4/(-12).
72
Let x(c) = -c**2 - 2*c. Let q be x(-3). Let r(d) = -2*d**3 + 4*d**2 + 7*d - 1. What is the lowest common multiple of r(q) and 2?
68
Let g be (2 - 1 - 2) + 279. Let o = g - 1441/5. Let v = -1328957/30 - -221377/5. Calculate the common denominator of o and v.
30
Let m = -2613 - -760384/291. Let i = -20659/582 - m. Find the common denominator of i and -51/178.
178
Let x be (-83154)/(-32184) + 0/(-3). Let i = 58/149 - x. What is the common denominator of 89/30 and i?
180
Let y(b) = 824*b**3 - 45*b + 46. Calculate the least common multiple of y(1) and 1980.
9900
Suppose 20 = 7*y - 22. Suppose -y*n = -146 - 502. What is the lowest common multiple of n and 2?
108
Suppose 5251 - 4586 = 19*s. Calculate the smallest common multiple of 41 and s.
1435
Let i = -10858841/16109480 - 1625/6011. Let x = i + -3/536. Let c = 322677/140668 + 5/3197. Find the common denominator of x and c.
220
Suppose 350*l = 3*l + 1846 + 5094. Suppose 0 = 2*d + 13 - 49. What is the least common multiple of l and d?
180
Let l = 37661 + -37647. Suppose -1488 = -0*q - 2*q. Calculate the smallest common multiple of l and q.
5208
Suppose -3762 + 198 = -262*s + 240*s. What is the lowest common multiple of s and 24?
648
Let d be (-8)/20 + 1258*79/36080. Let g = d + 3/328. Find the common denominator of 10*34*(-2)/48 and g.
66
Let p = -9489 - -9533. What is the least common multiple of 1144 and p?
1144
Let b be (-700)/(-15) + (-2)/(-6)*1. Let r = 85 - b. Let k = 60 - r. Calculate the least common multiple of k and 18.
198
Let h(m) = 5 + 12*m**2 - 83*m - 27*m**2 + 2*m**3 + 12*m + 0 - 3*m**3. Calculate the lowest common multiple of 44 and h(-5).
220
Suppose -2*p + 3*p - 887 = -3*v, p - 593 = -2*v. Calculate the lowest common multiple of 182 and v.
3822
Let k = -500/11 + 3583/66. Calculate the common denominator of (-420)/45*2/(-1 - -273) and k.
102
Suppose -119 = -p - 5*f, 384*p - 385*p + 2*f = -119. Calculate the least common multiple of p and 425.
2975
Calculate the smallest common multiple of 5 and 16975/4 + ((-258)/24 - -11).
21220
Calculate the common denominator of -5/22 and 258/(-2451) + (-96002)/33440 + 3.
880
Let h be 16900/16 - (-2)/(-8). Suppose -5*a - 11*a = -h. What is the smallest common multiple of a and 33?
66
Calculate the common denominator of 93/1352 and 22 - 11/(54054/106461).
9464
Let i = -69296 - -26332463/380. Calculate the common denominator of 71/105 and i.
7980
Let b be 4646/(-12) + 0/(-2). Suppose 5*o - 6*t + 2*t - 1803 = 0, 2*t - 1095 = -3*o. Let c = b + o. Calculate the common denominator of -11/3 and c.
6
Suppose -51 = -3*n + 9. Let i = 256 + -252. What is the least common multiple of i and n?
20
What is the common denominator of (-37436)/9450 + (5 - -2) + -3 and 49/675?
675
Calculate the common denominator of -53/48 and (-15)/11*(-74)/(-296).
528
Let f(k) = k**3 - 3*k**2 + 2*k. Let s be f(3). Suppose -s*t = -t - 150. Let o = -22 + t. Calculate the least common multiple of 14 and o.
56
Suppose 5*b + 3*n + 0 = 4, -5*n + 16 = -b. Suppose 0 = 4*c + c. What is the common denominator of -7/2 and c - (-194)/(-4)*b?
2
Let t = -7697/8 + 959. Suppose 4*f = 4*d + 6868, -4*d - 6859 = 7*f - 2*f. Let v = -5098/3 - d. What is the common denominator of v and t?
24
What is the common denominator of 55/2856 and 15 - (-15)/(85680/(-85926))?
2856
Suppose -5*v = 2*b - 805, 5*b - 121*v = -122*v + 2001. Calculate the least common multiple of b and 80.
400
Suppose 2*f = 4*v - 998 - 252, 3*f = 3*v - 930. What is the lowest common multiple of v and 405?
2835
Let m = -14617/1464 - -20/183. Let h = 296137 + -2691859/9. Let k = -2954 - h. Calculate the common denominator of m and k.
72
Suppose -s - 4*s = -10. Suppose -g - g = -s. Calculate the common denominator of (g/4)/((-63)/228) and -11/12.
84
Let f = -5899909/110 + 53635. What is the common denominator of f and -23/275?
550
Suppose -c = -5*t - 0*c + 484, -196 = -2*t + c. Let s be 9/15 + t/15. Find the common denominator of 50/s*12/48 and 13/7.
14
Let l(f) = 2*f - 20. Let w be l(10). Suppose w = u + 10 - 54. Suppose -20*v + 22*v = u. What is the lowest common multiple of v and 22?
22
Calculate the common denominator of 59/175 and (-4471)/(-544) - 20/2.
5600
Let k(l) = 2*l**3 + 50*l**2 - 368*l - 20. What is the lowest common multiple of k(6) and 1312?
1312
Let o = 72961/78 + -934. Let n = 2153/12 + -665/4. What is the common denominator of n and o?
78
What is the common denominator of (-332)/(-3486) - 3/((-567)/(-816)) and (-4)/6 - (-50)/14?
63
Suppose -34 = -3*u + 71. Let j(r) = 126*r**2 + r + 1. Let s be j(-1). Calculate the common denominator of 29/4 and 333/u + 36/s.
20
Let x(h) = -h**3 + 25*h**2 + 31*h - 36. Let t be x(26). Let y = -84 + t. What is the least common multiple of 60 and y?
60
What is the common denominator of 41/4032 and 2/(-5 + 238/51) - 176/(-18)?
4032
Suppose -4*u = -55 - 81. Let y = 55 - u. Calculate the common denominator of 3/y + (-2238)/84 and -1/3.
6
Let a be (-2)/(-12) - 449074/(-38352). Let u = a - 3/3196. What is the common denominator of 89/152 and u?
152
Calculate the common denominator of -47/748 and (-1296)/(-90) + -15 - (-76)/(-29920)*-282.
748
Find the common denominator of (37808/7776 - 5)/(4/(-2)) and -73/216.
1944
Let k = -6318/413 + 33950085/2218223. What is