pose -2*x = -3*k + 172, -2*k - h*x = -12*x - 113. Let o(s) = -5*s - 7. What is the least common multiple of k and o(-5)?
54
Let n(y) be the first derivative of -y**3/3 - 9*y**2/2 - 16*y - 33. Let s be n(-6). What is the least common multiple of 18/12*s/3 and 8?
8
Suppose -4*r - u + 3*u = -50, 2*r + 5*u - 43 = 0. Suppose -5*x = -r*x - 36. What is the common denominator of x + -10*(-10)/(-48) and 55/27?
108
Let x = -20 - 1. Let b be 4 + (-11953)/(-17360) - (-6)/x. Let t = -14/155 + b. What is the common denominator of 103/10 and t?
80
What is the common denominator of (-387)/(-432) - (7 + -5) and 139/12?
48
Let u = -1/9451 + 1030165/56706. What is the common denominator of u and (-1)/(-3) - 3507/(-252)?
12
Let c(s) = -s**3 + 9*s**2 - s - 12. Let q(f) = -2*f**3 - 2*f**2 - 4. Let p be q(-2). What is the lowest common multiple of c(p) and 10?
320
Let i = -19589 - -30694. Let d = i + -110951/10. Calculate the common denominator of d and 6.
10
Let y = 562 - 925. What is the common denominator of 14 + -12 + (y/42 - 0) and -125/24?
168
Suppose -1192241 = 10*p + 1257419. Let v = p - -39684623/162. Calculate the common denominator of -95/42 and v.
1134
Let z = -28/841 - 124637/20184. What is the common denominator of z and -71/6771?
54168
Suppose 4*u - 3*u + 4*y = -149, 5*u + 727 = -2*y. Let r = 148 + u. Calculate the least common multiple of r and 7.
21
Let o = -4/235 + 5939/3760. Let q = 29635/12 + -2466. What is the common denominator of o and q?
48
Let r be -3*6*7/21. What is the smallest common multiple of 9 and (-1)/((-9)/(-978)*r/9)?
1467
Let x(j) = j**3 - 15*j**2 - 14*j + 43. Let q be x(16). Find the common denominator of -25/33 and -7 + 5/(q/(-20)).
33
Suppose -5*f = -3*m - 25, -4*f + 12 = -m - 8. Suppose -6*p + 44 = -f*p. Suppose -6*h + p = -16. Calculate the least common multiple of h and 6.
30
Let p = -931 + 941. What is the smallest common multiple of p and 8?
40
Let u = 1624 - 1489. Calculate the lowest common multiple of u and 27.
135
Find the common denominator of 73/24 and ((-88)/72)/((-6)/(72/(-839))).
20136
Let k(c) = -10*c**2 - 2*c + 5. Let y be k(-4). Let b = 177 + y. What is the least common multiple of b and 9?
90
Let t(j) = 2*j**2 - 53*j + 366. What is the lowest common multiple of t(30) and 648?
5184
Let b = 62132843/15 - 4146211. Suppose -57*h = 284992 - 55966. Let d = b - h. What is the common denominator of -95/6 and d?
30
Suppose -2*s + 5*s = -5*j + 101, -2*s = 5*j - 104. Let n be (-8)/(-28) - (-32)/(-14). Let a = j + n. Calculate the smallest common multiple of 22 and a.
220
Let t = 231 - 147. Let w = t + -233/3. Let s = -3001/6 - -508. Calculate the common denominator of s and w.
6
What is the common denominator of 23/27 and 688/1075*(-4)/444?
24975
Let v be 2*(-2)/10 + (-9705)/(-75). Let b = v - 39. Suppose b = 3*q - 0*q. What is the smallest common multiple of q and 6?
30
Let p(k) = 135*k**2 - 37*k - 176. What is the least common multiple of p(-5) and 517?
37224
Suppose 3*q + 7930 = 5*c, 10*q - 13*q = 0. Let p = -574 + c. What is the least common multiple of p and 20?
5060
Let i = 6 + -10. Let p = -375 + 376. What is the least common multiple of 11 and p - i - (16 + -17)?
66
Let i be -23 - -5 - -14 - (-12)/(-3)*-1. Suppose 0 = 3*t + t - 288. Suppose i = -h + 5*h - t. What is the lowest common multiple of h and 6?
18
Let z(l) = -325*l + 3716. What is the least common multiple of z(8) and 60?
5580
Suppose o = 2*m - 45, -2*m + 0*m + 2*o + 46 = 0. Let z = 44 - 60. What is the smallest common multiple of (12/(-8))/(4/z) and m?
66
Let n = -30131824 + 48090393301/1596. Let a = 65/42 - n. What is the common denominator of 3/8 and a?
152
Let w be 99 + 8/(-12)*3. Suppose -w - 15 = -4*x. Let y = 61 - x. What is the lowest common multiple of 27 and y?
297
Let z = -7782 + 7852. What is the smallest common multiple of z and 966?
4830
What is the common denominator of 67/168 and 53*(28790/1920 - 15)?
1344
Let i = 284 - 305. What is the least common multiple of ((-14)/i)/((-2)/(-42)) and 196?
196
What is the common denominator of 0 - ((-30)/(-330))/((-38)/(-50) - 1) and -167/1980?
1980
Let k(c) = -c**3 + 5*c**2 + 10*c - 8. What is the smallest common multiple of (-13)/(-26) - (3 + 291/(-6)) and k(6)?
368
Suppose -3*u + 62 + 433 = 0. Calculate the common denominator of 14/32*((-3220)/u)/(-7) and 61/84.
924
Suppose 0 = 2*o + 2054 - 74. What is the common denominator of 65/22 and 13 + (-708)/54 - (-619)/o?
110
Suppose 6*n - 9*n + d - 1097 = 0, 16 = -4*d. Let w = n - -416. Calculate the lowest common multiple of 21 and w.
147
Calculate the common denominator of -85/1702 and ((-4)/126)/((-24)/(-72)) - 5613/(-9324).
3404
Let f be ((-1960)/329 - -6)*2/(-226). Let t = f + 371776/15933. Let r = -124727/10 - -12484. Calculate the common denominator of r and t.
30
Let t = -19023787/172 - -110604. Find the common denominator of -13/3096 and t.
3096
Let b = 5035/9 + -565. Calculate the common denominator of b and 3 - 1 - (-33)/27.
9
What is the common denominator of 575/46*(-10)/1100*3 and -17/1792?
19712
Let h = -2000 - -9941/5. Calculate the common denominator of h and -109/222.
1110
Let v be (-327)/12 - 2*(-2)/16. What is the common denominator of 37/9 and ((-434)/132)/7 - v/(-18)?
99
Suppose 117 - 267 = -15*y. What is the least common multiple of y and 50?
50
Let k = 5 - 3. Suppose k = -4*j + 3*f, 5*f + 5 = 4*j + 11. Suppose -2*d + p + 1 = -3*d, d + 4 = -2*p. What is the smallest common multiple of j and d?
2
Let c(p) = p**2 - 12*p + 10. What is the lowest common multiple of c(12) and 46/(-69) - -32*(-1)/(-3)?
10
Suppose -16 = 2*n + g, -n + 4*g = -0*g + 8. Let h be (2/1)/(n/(-20)). Let b(r) = r**2 + 2. Calculate the lowest common multiple of 33 and b(h).
297
Let y(r) = 47*r - 1. Let h be y(1). Suppose 3*z - 3*w = -4*w + h, -4*z + 64 = 4*w. Calculate the lowest common multiple of z and 24.
120
Suppose 3*q + p - 26 = 0, -5*q + 12*p = 9*p - 48. Calculate the least common multiple of (-12)/(-1) + 6/(-2) and q.
9
Let z(y) = 3*y + 1. Suppose 482 - 7797 = -77*b. What is the least common multiple of b and z(3)?
190
Let m(j) = -j**2 + 20*j - 48. Calculate the lowest common multiple of m(15) and 252.
756
Let p be (1608378/(-18))/((-16)/(-138)) + -1. Let h = 768427 + p. Let y = -2260 - h. Calculate the common denominator of y and -51/16.
16
Suppose 0 = -11*p + 10*p - 1. Let n(k) = -13*k + 7. Let s be n(p). Suppose 2*t - q - 26 = 4*q, 2*q + s = 4*t. What is the smallest common multiple of 1 and t?
3
Let w = -5243 - -31603/6. What is the common denominator of 1900/(-152) - 1255/(-90) and w?
18
Let h be (-75633)/119 + 2*1. Let l = -631 - h. Let i = 535/187 + -61/17. What is the common denominator of i and l?
77
Let j(l) = 5*l**2 + 41*l - 10. Let u be j(-8). Let i = 732443/66 + -11097. Calculate the common denominator of u/(1 - -2)*(-3)/(-22) and i.
66
Let w be 30/(-20) + 171013/(-12). Let k = w - -14261. Find the common denominator of ((-10)/(-20))/((-6)/(-194)) and k.
12
Suppose -5*y = -i - 74, -33*i + 26*i - y = 302. Let j = -7218/25 + 2874139/9950. What is the common denominator of j and i?
398
Let a = -398679 + 324923343/815. What is the common denominator of a and 34/355?
57865
Let i be (5 + -7)*-313 - -5. Suppose 6*u - i = -199. What is the least common multiple of 18 and u?
72
Find the common denominator of (1760/(-3120))/((-2)/(-3)) and 131/72.
936
Let v = 27 + -15. Let p(y) = -631*y + 1923. Calculate the least common multiple of p(3) and (-2)/v*-4*30.
60
Suppose -38 = -3*i - 4*m, -37*i - m = -38*i + 1. Calculate the lowest common multiple of i and 914.
2742
Let g = 35 + 48. Suppose 8*k = g + 21. Suppose 1 = -h + 8. Calculate the least common multiple of h and k.
91
Let t = -8720/1371 - 77586461/60324. Let u = 14208/11 + t. Let m = -1817901/368176 - -2/23011. Find the common denominator of u and m.
176
Let o(s) = -2*s - 11. Let y be o(-10). Let d be ((-8)/12)/(6/y)*3. Calculate the common denominator of ((-3)/(-18))/(2*d/(-744)) and 83/33.
33
What is the common denominator of 36/425 and 44/55*(50/(-12) + 3)?
1275
Let u = -2950 + 2962. Let l = 136 + -120. What is the lowest common multiple of l and u?
48
Find the common denominator of -45/196 and -4 + (3/(-12) - (-14)/(4508/1325)).
4508
Let d(m) = 147*m + 3254. What is the lowest common multiple of