mmon denominator of -56/1161 and q.
1161
Let x = -110403 + 991639747/8982. Let j = -25283/2994 + x. Find the common denominator of j and -1/71.
639
Suppose 0*c + 6 = -2*z + 5*c, -3*c = -2*z - 6. Find the common denominator of ((-43)/(-12))/((-2)/z) and ((-2)/(-4))/((9 - 25/4)/(-2)).
88
Let h be ((-7)/8)/7 + 167/(-8). What is the lowest common multiple of 4 and ((-35)/h - -3)*6?
28
Let f be (-68)/(-28) - (-15)/(-35). Calculate the common denominator of 37/2 + 10/5 and (f/(-10))/((-21)/350).
6
Suppose 9*b - 11*b = 30. Let a be (2 - (-14)/(-6))*b. Suppose 0 = p + 5*n - 8, -2*n - 12 = -a*p + n. What is the lowest common multiple of p and 2?
6
Let q = -1477/1710 + -1/342. Let k = 70779 - 1415621/20. What is the common denominator of q and k?
60
Let a(z) = -15*z**2 - 1037*z + 96. What is the smallest common multiple of 468 and a(-69)?
468
Let t = 326 + 2767. Let h = t + -61789/20. Calculate the common denominator of h and 73/172.
860
Let s = 48 + -45. Suppose 0 = -s*a + 44 + 100. Find the common denominator of ((-18)/a)/(5/(610/(-3))) and -97/130.
260
Suppose 5219 = 18*z - 7985 - 5048. Calculate the least common multiple of z and 78.
1014
Let x = 324034 + -134798055/416. Calculate the common denominator of x and -59/160.
2080
Let n(c) = 2*c**3 + 6*c**2 + 5*c + 7. Let q be n(-3). Calculate the common denominator of (-25)/((-1)/((-36)/q + -5)) and -1 + 1/((-14)/(-31)).
14
Let p(t) = t + 4 + t**2 + 4 + 0*t. Let o(s) = -s**3 + 21*s**2 - 64*s + 184. Calculate the smallest common multiple of p(0) and o(18).
8
Suppose 0 = 4*z + 319 - 463. Calculate the least common multiple of 1017 and z.
4068
Let s(x) = x**2 - 3*x. Let q be s(3). Suppose -3*d - 5*y = 34, -d + 3*y = -q*d - 12. Calculate the lowest common multiple of ((-8)/3)/((-1 - d)/(-18)) and 6.
24
Let n(t) = t**3 + 7*t**2 + 4*t - 10. Suppose -2*w + 14 + 82 = 0. What is the smallest common multiple of w and n(-5)?
240
Let m(a) = 8*a - 83. Let p be m(10). Calculate the common denominator of (429/54 + p)*-3 and 61/14.
42
Suppose -762 = 117*c - 2025 - 4470. What is the least common multiple of 7749 and c?
54243
Let l = 692801/8 + -86600. Calculate the common denominator of ((-110)/6)/(-1 + -11) and l.
72
Let j(m) = m**3 - 22*m**2 - 4*m - 48. Let g be j(22). Let f = g + 135. What is the common denominator of -51/14 and (37 + 2)*3*f/(-10)?
70
Let n = 14933/756 - 2267/108. Let y be (62/180)/(2/(-5682)). Let c = y - -979. What is the common denominator of c and n?
210
Let x = 2028 - 18230/9. Let s = -7/36 + x. Calculate the common denominator of -1/44 and s.
44
Let z be -1 + (-75)/1380*(-317)/5. Let v = z - -1169/138. Calculate the common denominator of -95/54 and v.
108
Let b = 50 - 47. Suppose b*j - 5 = 2*j. Suppose -3*w + 12 = 0, -157 = -j*y - 0*w + 2*w. Calculate the least common multiple of y and 21.
231
Let x = -905838/151 - -5999. Let i be 32/755*(-83142)/(-372). Let b = i - x. What is the common denominator of 107/40 and b?
40
Suppose -2*d = -0 - 10. Suppose -d = -4*n + 27. Suppose -19 = 215*m - 130 - 104. What is the least common multiple of m and n?
8
Suppose -10 = -4*o + 3*g, 4*o - 1 - 7 = 4*g. Suppose -o*a + 38 = -122. Calculate the common denominator of a/84 + (21/6)/7 and 59/2.
42
Let g = 224 - 352. Find the common denominator of (3/54*-2)/(4/g) and 2/(-6)*365/25.
45
Let h = -1180 + 820. Calculate the common denominator of 93/44 and (48/10)/(-12) - (-446)/h.
396
Suppose -2*r + 5*u = -60, 2*r + 6 = -2*u + 66. Let q(c) = c + 1. Let l be 3/(((-3)/(-3))/1). Calculate the lowest common multiple of r and q(l).
60
Suppose -3753*l + 7430*l = 3723*l - 230. Let d = -15 + 60. Calculate the least common multiple of d and l.
45
Let l = 14174035/168 - 84369. Calculate the common denominator of l and 15/44.
1848
Suppose -g + 1 + 11 = 0. Suppose 2*o + 61 + 41 = 4*y, 306 = 9*y + 4*o. What is the least common multiple of y and g?
60
Let b = -36575 + 36593. Suppose 0 = 3*w - 2*r - 144, 3*w + r - 127 - 17 = 0. Calculate the least common multiple of b and w.
144
Let w be (-700)/240*2156/6690. Let o = -1/223 + w. Let u = -167453/18 - -9309. Calculate the common denominator of o and u.
18
Let m(p) = -3*p**2 + 5*p + 3. Let s be m(-4). Let n = s - -68. Calculate the lowest common multiple of -27*(-5)/45*3 and n.
9
Let b = -707716366741/6415950 + -784188/42773. Let f = -110325 - b. Find the common denominator of f and -83/120.
600
Suppose 2*r = -3*m - 11, 4*r - 4*m + 43 + 9 = 0. Let f be r/(-4) - ((-12)/(-8))/3. Calculate the common denominator of 15/2 and 0 - (45/(-20) + f/4).
4
Calculate the common denominator of (-23)/(-3)*99/(-9944) and 9/904.
904
Let q(m) = 9*m**2 - 44*m - 9. Let n be q(-22). Let t = -31769/6 + n. Let s = 86721/10 + -8680. What is the common denominator of s and t?
30
What is the lowest common multiple of ((-59)/((-118)/(-27)))/(6/(-2464)) and 5040?
55440
Suppose 28*i = 17*i + 1782. Let n = i + -153. Calculate the lowest common multiple of 69 and n.
207
Let k(o) = -o**2 + 9*o - 7. Let j(r) = -1. Let s(n) = 5*j(n) + k(n). Let g be s(5). Suppose -g*f = -11*f + 3. What is the smallest common multiple of f and 1?
1
Let o(a) = 9*a**2 - 39*a - 6. Let k be o(6). Find the common denominator of 96/(-224) + 358/k and 67/21.
42
Find the common denominator of 133/12 and 8 + (-15 - -2) - (-526)/120.
60
Find the common denominator of ((63/1428)/((-3)/(-94)))/(-1) and (69/15)/(8/(-60)).
34
Calculate the smallest common multiple of (-4 + 15 - 2700/252) + (-52)/(-14) and 660.
660
Suppose 77 = 4*f - 11. Suppose 5*a - 38 - f = 0. Let o(j) = -37989*j + 38022. What is the least common multiple of a and o(1)?
132
Let r(t) = 23*t**2 + 24. Let s be r(-4). Suppose -320 + s = 8*g. What is the lowest common multiple of g and 81?
81
Suppose -3*y = -5*g - 627 + 241, -y - 150 = 2*g. Find the common denominator of ((-38)/g)/(509/(-54)) and 23/4.
2036
Let g = -189210 - -28381387/150. Calculate the common denominator of g and 2/765.
7650
Let x(a) = -a**2 + 17*a - 3. Let w be x(14). Let l = w + -38. Find the common denominator of 37/39 and (2 - l) + (-261)/36.
156
Calculate the common denominator of 8/((-288)/(-570))*(-3)/168 and 25/756.
3024
Suppose -3*q + 3*i - 15 - 12 = 0, 2*q - 17 = -5*i. What is the lowest common multiple of 105 and ((-13)/((-91)/(-14)))/(4/q)?
210
Let w(x) be the first derivative of x**4/4 + 2*x**3 + 5*x**2/2 - 6*x + 61. What is the least common multiple of 27 and w(-4)?
54
Let u be 4/(-5) - 456/(-120). Suppose -x + 7 = -0*x. What is the lowest common multiple of x and (55/10 - u) + (-5)/(-10)?
21
Let s(p) = -83*p - 1655. What is the lowest common multiple of 906 and s(-20)?
4530
Let a = -1810874/9 + 202376. Let n = -1176 + a. What is the common denominator of n and -38/195?
585
Let m(f) = -3*f - 28. Let v be m(-10). Suppose 2*i - 39 = -5*b, 27 = v*i + b - 0*b. Calculate the smallest common multiple of 44 and i.
132
Let t(h) = h**3 + 4*h**2 - 13*h + 4. Calculate the smallest common multiple of 14 and t(3).
28
Suppose 1927 = 3*j + d, -4*d + 2556 = -46*j + 50*j. Calculate the smallest common multiple of 138 and j.
1932
Let h(l) = 65*l**3 - 3*l**2 - 2*l - 4. Let u = 335358 + -335344. What is the smallest common multiple of h(3) and u?
12026
Let a(b) = b**3 + 164*b**2 - 1555*b + 544. What is the least common multiple of a(-173) and 99?
198
Calculate the lowest common multiple of 288 and (376/6 - 4)/(86/1419).
34848
Let q = 172 - 94. Let i be 2/(-4) + (-900)/(-24). Suppose -216 = 19*k - i*k. What is the smallest common multiple of k and q?
156
Let g = -7578 - -12943. What is the common denominator of (-2)/7 + (g/252)/5 and -55/16?
144
Calculate the least common multiple of (1144/78 + -14)/(2/(-15)) + 4349 and 543.
4344
Calculate the lowest common multiple of 0/(-3) + (-3 - 1)/(-2) and 328/18 + -1 + (-35)/(-45).
18
Let r = 112999 + -2485077/22. Let w = r + -41. Find the common denominator of w and 87/62.
682
Suppose -1 = -3*h + 2. Let z be 28/16*-4 - 2/(-2). What is the common denominator of -37/15 and -4*h/z + 38/(-60)?
30
Suppose -5*k - 2*x = -3*x - 258, -141 = -3*k - 4*x. Suppose -3 = 3*h - k. Suppose -31*r - h = -35*r. Calculate the least common multiple of r and 8.
8
Let z(q) = -3*q - 45. Let r(n) = 2*n**2 + 50*n - 15. Let j be r(-25). Let h be z(j). Let c = h - -3. Calculate the smallest common multiple of