
1576
Let h(x) = x**2 + 7*x - 4. Let w be h(-6). Let n(v) = -4*v - 23. Calculate the lowest common multiple of n(-6) and 10/6*(13 + w).
5
Let p(u) = 5*u - 14. Let r be p(5). Suppose 3*a = -2*d + 82, 8*d - 143 = -5*a + r*d. What is the lowest common multiple of 11 and a?
308
Suppose -11*k - 661 = -6*k + 4*o, -128 = k + 5*o. Let m = 109 + k. Let p(u) = -3*u - 48. What is the least common multiple of 12 and p(m)?
24
Suppose -2*w = -4*s + 6, 0 = -3*s - s + 3*w + 11. Let b = -16539/1540 + -4/385. Find the common denominator of b and 2 + 5/(-165) + s/3.
44
Let j = 8873 - 2377961/268. Calculate the common denominator of j and -73/670.
1340
Let a(r) = -r**3 + 7*r**2 + 4*r + 10. Suppose -8*i + 16 + 32 = 0. Calculate the least common multiple of a(i) and 77.
770
Let c(o) = -8*o**3 + 2*o**2 + 2*o + 1. Let i be 20/7 - (-8)/56. What is the smallest common multiple of c(-1) and (24/(-10))/(i/(-15) + 0)?
36
Let k = -2422 - -2447. Calculate the lowest common multiple of k and 44 + 2/(-2) - -2.
225
Let p = -48219489 + 868417469/18. Let g = p - 25934. Calculate the common denominator of g and 26/(-44) + -1 + 2.
198
Let t = 52 - 47. Suppose -10*u - 17 = 3. What is the least common multiple of t and 5 + -5 - u*2?
20
Let p be -19 + (-6 + 2 - -4). Let f = p - -23. Calculate the common denominator of -93/104 and (-4)/((-8)/(-39)) - f.
104
Let z(w) = -5*w - 3. Let j be z(-3). Suppose 7*h - 4*h = j. Suppose -4*v + 150 = 5*l, -l + h*v = 6*v - 36. What is the lowest common multiple of l and 4?
52
Let h(d) = -2*d - 40. Let y be h(-18). What is the common denominator of -52/9 and 4/(y/3) + (-122)/(-72)?
36
Suppose 0 = -2*r + 1 + 5. Suppose -r*u + u + 4 = 0. Suppose -3*o - u*f + 15 = 0, -4*f - 40 = -o - 3*o. What is the least common multiple of o and 10?
70
Let j = -192 + 194. Suppose j = -2*s + 2*z + 12, 4*s - 2 = -5*z. What is the least common multiple of 27 and s?
27
Suppose -4*w - 4*b + 2588 = 0, 4*w + 1279 = 6*w - 3*b. Suppose 24*s - w = -68. What is the smallest common multiple of s and 303?
2424
Suppose s = 15*u - 19*u + 217, 3*s = -4*u + 635. Let n = -207 + s. Calculate the lowest common multiple of n and 39.
78
Let x(i) = -3*i**2 - 26*i + 6. Let g be x(-9). What is the common denominator of -139/6 and 2/2*41/g?
6
Suppose -13*t + 65 = -10*t - 5*u, 3*t = -4*u + 110. What is the smallest common multiple of t and 132?
660
Let d(h) = 51*h**2 - h. Let s be d(2). Let x = -304 - -426. Let f = s - x. Calculate the smallest common multiple of f and 10.
80
Let h = 19 + 2. Let t be (150/100)/((-3)/16). What is the least common multiple of h and 315/20 - (-6)/t?
105
Find the common denominator of -29/3706 and (((18/(-33))/3)/10)/((-76)/13110).
40766
Let s be (531370/293152 - -1) + 3. Let b = -1/9161 + s. Find the common denominator of b and -55/16.
16
Let r = -114622/14605 + 180/23. Find the common denominator of -42/1397 and r.
6985
Let o be (-6)/(3 + 498/(-164)) + 4. Let y = -144 + o. Calculate the lowest common multiple of y and 60.
120
Find the common denominator of 23/100 and -137 + 134 - (-2309)/770.
7700
Let g = 125334 + -155539502/1241. Calculate the common denominator of g and -29/365.
6205
Suppose -3*b - v = -57, 2 = -v + 5. Suppose -17*y + 19*y = -8. Calculate the lowest common multiple of (-46)/y + (-5)/(-10) and b.
36
What is the common denominator of -55/243 and (-8)/(-70)*(-380)/(-114)?
1701
Let k(q) = -q**3 + q**2 + 4*q + 3. Let r = -5 + 2. What is the smallest common multiple of ((-24)/(-38))/(-16 + (-30475)/(-1900)) - (-2 + 9) and k(r)?
27
Suppose 3*u = 74 + 106. Suppose 6*f - u = f. Calculate the common denominator of 15/f + 5 + -7 and 83/16.
16
Let s be 190/(-57)*9/(-5). Suppose s*r - 37 - 5 = 0. Suppose -249 = -38*u + 17. What is the least common multiple of u and r?
7
Suppose -2*m = -4*l - 120, 4*m - 25*l + 26*l = 267. Calculate the least common multiple of m and 638.
1914
Let h(m) = -5*m - 46. Let i be h(-10). Suppose -6*n + 4*u = -11*n + 101, 5*u + 48 = i*n. What is the smallest common multiple of 6 and n?
102
Let b(l) = 524*l**2 - 343*l - 4. Let x be b(3). Let m = 519009619/224 - 16193272/7. Let y = m - x. Calculate the common denominator of y and 45/28.
224
Let c = 36959/466840 + 2/5305. Let z = 11311423/88 - 128538. What is the common denominator of c and z?
88
Let k = -3510 - -231659/66. What is the common denominator of k and 19/42?
462
Find the common denominator of ((-717)/(-232) + -3)*889/381 and 11/328.
9512
Let z(w) = -w**2 - 56*w - 485. Let p be z(-45). Let n = 2 + 10. What is the lowest common multiple of 2*(-3)/n*-4 + p and 3?
12
Let f be 2373/(-18)*6/(-220). Let n = -2/165 + f. Find the common denominator of n and -76/9.
36
Let f(r) = 2*r**2 + r - 2. Suppose -2*x = -3*x + 1. Calculate the least common multiple of f(2) and (5 - 2 - -2) + x.
24
Let w(l) = -l**2 + 6*l + 1. Let d be w(5). Let r be 1 - (2 + -5)*75/45. Find the common denominator of 103/6 and 51/14 - (d/r)/(-2).
42
Calculate the common denominator of 25/2656 and 897/18 - ((-15)/6 - (-153)/54).
2656
Let w = -1826030/2877897333 - -34/85951. Let t = 65712397/625016 + w. Let b = -752/7 + t. What is the common denominator of b and -28?
24
Find the common denominator of ((-104)/50)/((-36)/(-90)) and (-4)/3*864/(-648).
45
Let g = 180 - 183. What is the common denominator of (-17)/40*-14 + g and -19/10?
20
Let d = -1115 + 1268. Calculate the smallest common multiple of 123 and d.
6273
Let p = 5/1891 - -247601/45384. Let u = 1041013/42 - 24788. Find the common denominator of p and u.
168
Let q(b) = 179*b + 1973. What is the lowest common multiple of q(-11) and 4404?
4404
Let v be ((-6)/9 - -3) + 9/(-27). Suppose 4*m = 5*b - 41, -2*b - 3*m + 0 - v = 0. What is the lowest common multiple of 1 and b?
5
Suppose -18*t = -12*t - 108. What is the smallest common multiple of 17776 and t?
159984
Let c(k) = 6*k + 91. Calculate the lowest common multiple of 57*3/18 - (-1)/2 and c(-14).
70
Suppose 9*k = 14*k - 295. Let j = -58 + k. Calculate the least common multiple of 1/j*(0 - -10) and 126.
630
Calculate the common denominator of (18/(-8))/(59800/975) and 9/32.
736
Let k be (576726/(-248))/(((-17272)/(-48))/(-17)). Let m = -3395/31 + k. What is the common denominator of -39/2 and m?
254
Let a(i) = 10*i - 15. Let p be a(4). Suppose 8*q - p + 345 = 0. Let u = 62 + q. What is the lowest common multiple of 4 and u?
44
Let u = -28004/7321 - 1426401583/585680. Let s = -2439 - u. Calculate the common denominator of s and -73/40.
80
Suppose 29*b - 9*b = 100. Suppose 0*w + 5*w - 218 = -4*x, b*w + 5*x = 220. Calculate the smallest common multiple of 35 and w.
210
Suppose 0 = -4*s - 0*s + 64. Suppose 5*o + 91 = s. Let q(d) = d**2 + 15*d + 6. What is the smallest common multiple of 10 and q(o)?
30
Calculate the least common multiple of (-497664)/(-729)*6/4 and 12.
3072
Let u(c) = c**2 - 3*c - 3. Let b be u(8). Suppose -w - 4*i = -22, 0 = -3*w + 7*w - i - b. What is the common denominator of -143/24 and (48/w)/(-6)*95/(-6)?
24
Let n(l) = -7*l**2 - 28*l. Calculate the lowest common multiple of 807 and n(-1).
5649
Let h = 3865 + -92851/24. What is the common denominator of (-3)/(9/3) + 4890/1920 and h?
192
Suppose -1828*c = -1819*c - 621. What is the smallest common multiple of 253 and c?
759
Let y be 0 + (144/(-10) - 1). Let h be -1 + (118/20)/1. Let c = h + y. What is the common denominator of c and 7/22?
22
Suppose 52*z + 16 = 56*z. Suppose 173 = 18*c - 475. Calculate the smallest common multiple of c and z.
36
Let x be (-1 - -2) + (-1626)/36 + -7. Let f = x - -53. Let u = 7463/117 + -926/13. Calculate the common denominator of u and f.
18
Let b be (-1 + 43853/(-440))/(114/95). Let h = 1007/12 + b. Calculate the common denominator of -29/6 and h.
528
Let i = -115 - -38. Let z(c) = -3*c**2 - 64*c + 327. Let b be z(5). Let g = b - i. What is the least common multiple of 3 and g?
9
Let v = -39519/52900 + -192/529. Find the common denominator of (1/(-5))/((-308)/(-70)) and v.
1100
Let g(n) = -n**3 - 4*n**2 - 41*n + 119. Let u be g(26). Let k = u + 636707/30. Find the common denominator of 13/141 and k.
1410
Suppose 335 = 3*j + 16*p - 21*p, 107 = j - 4*p. What is the lowest common multiple of j and 92?
460
Let s(h) = -16*h**3 - h**2 + 2*h + 2. Let k(a) = -5*a + 12. Let j(n) = 3*n + 31. Let q be j(-11). What i