575817/33451107. Find the common denominator of 115/24 and z.
4152
Let v = -11697 + 23407/2. What is the common denominator of -59/690 and v?
690
Let y(i) = 132*i - 192. What is the lowest common multiple of y(3) and 408?
408
Let v be (-2)/12 - (-4 + 2). Let r = 112/3 - v. Find the common denominator of r and 10*1/4*2835/675.
2
Let p(a) = -a**3 - 8*a**2 + 8*a + 64. Let j be p(-8). Suppose 3*v - 27 + j = 0. What is the least common multiple of 15 and v?
45
Let i be -3*(9/(-12) - (-1423)/(-12)). Let o = 360 - i. Calculate the smallest common multiple of 70 and o.
70
Let t be (9/(-3) + 100)/(-1 + 0). Let v = 104 + t. What is the common denominator of 6/(-10) + ((-4886)/120)/v and 39/34?
204
Let h = 630 - -696. What is the smallest common multiple of h and 4?
2652
Let t = -17 - -17. Suppose 1164 = -t*z + 2*z - 2*j, 0 = 2*z - j - 1164. Calculate the common denominator of (-28)/42*z/136 and -53/6.
102
Let i(z) = 3*z**2 + z - 46. Calculate the smallest common multiple of i(-6) and 28.
56
Let z = 121 + -95. What is the common denominator of -37/251 and z*((-12)/64 + 3 - 3)?
2008
Suppose 8*s - 3 = 29. Suppose s*y = -2 + 46. Let x = 15 - y. Calculate the smallest common multiple of x and 34.
68
Let t = -91 + 93. Calculate the common denominator of t - (4 + (1848/27)/(-7)) and -23/42.
126
Let k = -141 - -99. Let s = k + 72. Calculate the smallest common multiple of s and 9.
90
Let j = 488 + -473. Suppose -56*u - j = -61*u. Suppose 2*a + 0*a - 38 = 0. What is the least common multiple of u and a?
57
Suppose 7*x + 43 = 281. Let m(b) = 6*b + 60. What is the lowest common multiple of m(x) and 11?
264
Let s(q) = 7*q**3 - 5*q**2 + 8*q. What is the smallest common multiple of s(4) and 50?
400
Let c be (-5 - -6) + (-30)/3. Let x be 788/7 - -2*c/(-42). Let l = x - 65. Calculate the smallest common multiple of 30 and l.
240
Suppose -5*z + 2*b = -43, -4*z + b + 16 = 4*b. Suppose -3*l + 6 = -5*l. Let u = l + z. Calculate the lowest common multiple of 8 and u.
8
Let u be 21/49 + (-1478)/(-14). Let z = u + -103. Calculate the smallest common multiple of 207 and z.
207
Suppose 5*d = k + d + 15, 5*k - 1 = d. What is the common denominator of -31/33 and (-4)/(6*(36/8 - k))?
231
Let r = 70244 + -19808867/282. Find the common denominator of r and 79/12.
564
Let c be (9/(-18))/((-1)/8). Let w be ((-32)/20)/((-16)/(-40)). Calculate the common denominator of (44/(-15))/w - (-2)/c and -20/3.
30
Suppose 4*o - 3*m = 9, 3*m = 2*o + m - 2. Suppose 60*n = 35*n - 150. What is the least common multiple of (16/n)/(2/(-9)) and o?
12
Suppose 5*j = -857 + 1417. Calculate the least common multiple of 4/(-5)*15*-12 and j.
1008
Let b = 178 - 107. Let j = -60 + b. What is the lowest common multiple of 22/7 + -3 - 138/(-14) and j?
110
Suppose 3639*o = 3621*o + 378. Calculate the lowest common multiple of o and 519.
3633
Suppose -2*y - 93 = 2*y - c, y = 3*c - 15. What is the common denominator of (-1157)/(-45) + 504/(-315) - (-2)/9 and y?
3
Let x(p) = 20*p - 15*p + 16*p**2 + 12*p + p**3 + 33. Let w be x(-15). Calculate the smallest common multiple of 7 and (112/12)/(w/9).
28
Let s(r) = -r**2 - 7*r - 3. Let z be s(-6). Calculate the common denominator of ((-6)/4)/(513/2584) and (z/1)/((-5)/18).
45
Let n = -11 + 12. Let i be n*4 - (-7650)/(-1914). Let s = i + -28401/3190. Find the common denominator of 7/10 and s.
10
Suppose 5*g - 5 = -4*h - 211, -2*h = -g - 44. Find the common denominator of 33/g*(-91)/6 and -55/404.
1212
Let p = 28 - 86. What is the common denominator of (-7)/35 + p/5 and (-1727)/(-198) + (6 - 17)?
90
Suppose -192*k = -190*k - 28. Suppose -p + q + 59 = 0, -q + 51 = p - k. Calculate the least common multiple of p and 10.
310
Suppose 12*w + 268 - 783 = 1045. Let f(l) = -l**2 - 10*l - 8. Calculate the lowest common multiple of w and f(-6).
1040
Calculate the common denominator of -5*2252/(-2320) + -4 and 49/202.
11716
Let d = -23/3486 - -90049/87150. Let h = -4245/13 - -213693/650. Find the common denominator of d and h.
150
Suppose -4*h = n + 32, h + 4*n = -18 - 5. Suppose 8 = 2*r + 2. What is the smallest common multiple of (-3)/(19 + h) + (-66)/(-8) and r?
24
Suppose -84 = 3*y - 105. Let j be (-10)/(-2) + y + -3. Suppose 7 = -j*w + 25. What is the least common multiple of 22 and w?
22
Let p = 820 + -814. Calculate the least common multiple of 292 and (-9 - (-294)/18)*p.
3212
Let z = 57912506 + -1042094719/18. Let a = 18361 - z. Find the common denominator of a and 17/22.
198
Let z(q) = 6*q - 6. What is the least common multiple of z(7) and 51 - 14 - (-3672)/72?
792
Let v(o) = -o**2 - 16*o + 3. Suppose 0 = 87*b - 88*b - 1. What is the smallest common multiple of v(-15) and b/(6/(-96) + 0)?
144
Let g = 381701/210 + -12711/7. Let f be (-17882)/40 - (-4)/(-6). Let h = f + 2249/5. What is the common denominator of g and h?
60
Let q(r) = r**2 + 23*r + 66. Let d be q(-20). Suppose d*w = 61 - 7. Suppose -c + 4 = 3*c. Calculate the lowest common multiple of c and w.
9
Suppose -2*j + m = 5, 3*m = 5*j + 8*m + 20. What is the common denominator of -97/24 and 34/(-120) - (-2)/(-2)*j?
120
Let x(c) = 2*c**3 + 37*c**2 + 42*c - 65. Calculate the smallest common multiple of x(-15) and 1760.
1760
Let a be 18/(-12) + (-2286)/(-372). Let y = a - 38/155. Find the common denominator of y and (42/(-16))/(171/44).
570
Let l = 32493/11 - 2957. Let d = -619679/96 + 6455. Find the common denominator of d and l.
1056
Suppose -128*o - 3104 = -s - 125*o, -4*s + o + 12493 = 0. What is the least common multiple of 250 and s?
6250
Let v be (5 + -1)*(-3)/(-4). What is the least common multiple of (-9 + 8)/(1/(-16)) and 6/v + 19 + -1?
80
Suppose -b + 0*z + 4*z + 5 = 0, 3*b + 15 = -3*z. Let p(d) = 2*d + 3. Let s be p(b). Find the common denominator of -47/18 and s + (-6)/(-21)*(-21)/9.
18
Suppose -76 = -3*a + h, -4*a + 103 = -4*h + h. Suppose 0 = -3*m - 2*f + 68 + 93, 2*m = 4*f + 118. Calculate the least common multiple of m and a.
275
Let q = -2326 + 2337. What is the lowest common multiple of 42/(-4)*2/(-3) and q?
77
Let d(m) = 3*m**3 - 21*m**2 - 2*m + 72. Let h(v) = 7*v**3 - 43*v**2 - 4*v + 146. Let a(g) = 5*d(g) - 2*h(g). What is the least common multiple of 3 and a(19)?
30
Let n = 217 - -383. Calculate the smallest common multiple of n and 675.
5400
Suppose -83*q + 32300 = 76*q - 142*q. Calculate the smallest common multiple of 3800 and q.
3800
Let o be (-57380)/(-20)*(2/(-4))/(-1). Let t = o + -1483. Find the common denominator of -73/198 and t.
198
Let h(n) = -n**3 - 39*n**2 + 172*n + 210. Calculate the lowest common multiple of (27/(-12))/((-3)/8) and h(-43).
210
Suppose -5*u - 5*w = 30, -3*w = -8*w - 15. Let h(d) = 7*d**2 + 222*d - 109. Let o be h(-31). What is the common denominator of (-236)/o*3 + u and 13/2?
22
What is the common denominator of ((-26)/(-9))/(-7 - 2) and ((-8)/90)/((-3)/145) - 4?
81
Let t = -669434/55 - -12171. Find the common denominator of 4/2 - (-304)/(-90) and t.
495
Calculate the lowest common multiple of (1080/(-200))/((-3)/60*1) and 38.
2052
Let m(f) = 18*f**2 - 2*f + 1. Let j be m(1). Suppose 6*c = j - 113. Find the common denominator of -2 + 292/c + 4 and 77/6.
12
Find the common denominator of ((-765)/(-850))/(2/110) and 27/644.
644
Let h be (-38)/(-95)*1*-55. Find the common denominator of 15/(-45)*((-236)/h)/(-2) and -49/6.
66
Suppose 0*t = -t + o - 2, -4*t = -5*o + 11. Let p be t/(1 - 2/3). Suppose -11 = -k + p. Calculate the least common multiple of 12 and k.
84
Suppose 7*w = -7*w + 56. Let m be 3/(-2)*(-3)/18*w. Find the common denominator of m*4 - (-5)/((-40)/(-166)) and 89/22.
44
Let b = 77 + -70. Suppose -b*x = -26 - 9. Calculate the least common multiple of x and 39.
195
Let w = 127/64 - 2701/192. Find the common denominator of -41/189 and w.
756
Let j be ((-4160)/125 - -5)/(72/10). Let t = j - -29/10. Calculate the common denominator of t and -67/60.
180
Let h be (36/(-21))/((-21)/6468). Suppose 13*x = 9*x + h. What is the lowest common multiple of 4 and x?
132
Let k = -4028 - -24149/6. Find the common denominator of -50/183 and k.
366
Let p be (231866/36)/((-18798)/18). Let h = p - -2/3133. What is the common denominator of 47/(6 + -28 + (5 - 4)) and h?
42
Let a(f) = 10*f**2 - f + f**3 + 22*f - 26 - 16*f. Calculate the lowest common multiple of a(-9) and 2.
10