6
Suppose 40*x = 30*x - 49*x + 236. Calculate the smallest common multiple of 7829 and x.
31316
Let m = -32959 + 790865/24. What is the common denominator of m and 151/330?
1320
Let t(k) = -k**3 - 8*k**2 + 19*k - 6. Let p be t(-10). Calculate the lowest common multiple of 34 and (1*-1 - p) + (-1750)/(-175).
170
Let i = 1612 + -1007. What is the smallest common multiple of i and 22?
1210
Let f(d) = d**3 + 31*d**2 + 20*d - 1111. What is the smallest common multiple of 1012 and f(-27)?
5060
Let q(z) = -2*z**3 + 13*z**2 + 6*z - 35. Let k be q(6). Let y(b) = -2*b + 179. Calculate the least common multiple of y(k) and 21.
105
Let r = 3664861 - 7036532963/1920. Find the common denominator of r and -37/320.
1920
Calculate the common denominator of 461/300 - (-848)/(-636) and 145/24.
600
Suppose 2 + 70 = -69*y + 71*y. Suppose 47 + 7 = 2*a. What is the least common multiple of a and y?
108
Let h = -961807/1950 + 7396/15. What is the common denominator of h and 18/4355?
43550
What is the least common multiple of 6 and ((-1)/(((-63)/14)/(-9)))/((-4)/826)?
2478
Suppose 3429*z = 3438*z - 8775. What is the smallest common multiple of z and 24?
7800
Let i(m) = -m**3 - 10*m**2 + m + 7. Let z be i(-10). Let q = 2 + z. Find the common denominator of q/2 + 155/380 and 38/11.
836
Let t(k) = 5*k. Suppose -715*p + 62780 + 12673 - 378 = 0. Calculate the least common multiple of t(1) and p.
105
Let z = -13176/67 - -48385555/246024. Find the common denominator of z and -43/1080.
18360
Let i = 40 + -35. Suppose -i*o = -4*y + 10 - 75, -o = -4*y - 77. Find the common denominator of y and 1304/240 + (-2)/(-3).
10
Let q be (-1 - -2)/((-6)/(-18)) - -1. Suppose 5*u - 5*b + 97 = 7*u, -q*u + 3*b + 129 = 0. Calculate the least common multiple of 6 and u.
36
Let c(o) = o**3 + 7*o**2 - 10*o + 8. Let f be c(-7). Let p be 2/8 - 34/8. What is the common denominator of ((-19)/p)/((-52)/f) and -89/206?
824
Let d = -4674581/2394 + 41000/21. Let k = d - 102/19. What is the common denominator of k and 14/15?
90
What is the common denominator of (110/(-15))/(424/(-18)) and 2/60 + 1168111/253770?
1166
Let c(t) = -t**2 + 2*t + 150. Let u be c(0). Suppose -10*q - u = -430. Calculate the lowest common multiple of 24 and q.
168
Let j = -205271/28 - -7334. Find the common denominator of (-12)/(-432)*381/(-2) and j.
168
Let g = 3821/6380 + -25/44. Find the common denominator of -25/2233 and g.
11165
Let g = -16275040/8309 + 408600168397/211156617. Let o = -2/8471 - g. Calculate the common denominator of o and 18/113.
339
Let a = -141/10 - -96/5. Let x = -81 - -71. Find the common denominator of (402/30)/(-1 - 22/x) and a.
30
Let n(m) = m**3 - 6*m**2 + 10*m - 3. What is the least common multiple of ((-7)/(147/(-12)) + (-54)/(-28))*54 and n(4)?
135
Let u = 23129/22268 + -100/293. Calculate the common denominator of u and 2394/(-392) - 10/(-5).
532
Suppose 6*t + 21632 = 52*t - 9924. What is the lowest common multiple of 63 and t?
6174
Let l = 13499/476 + -490/17. Find the common denominator of -3/1141 and l.
4564
Let x = 947/30 - 136/15. Let c = 1878077/5 + -377786. Let o = 2160 + c. What is the common denominator of x and o?
10
Suppose -945 = -5*l + 2*r, 5*l - 968 + 28 = 3*r. What is the common denominator of ((-129)/27 - -1) + 3 and l/72*3 + -6?
72
Let q = -2410 - -125233/52. Calculate the common denominator of -33/8 and q.
104
Suppose -5*q = -2*m + 19, 0 = 13*m - 16*m - 5*q + 41. Calculate the smallest common multiple of m and 231.
924
Let k = 3406/5 - 490079/720. What is the common denominator of -139/900 and k?
3600
Let o = -8773 - -43856/5. What is the common denominator of o and -37/83?
415
Let y(z) be the third derivative of 7*z**5/20 - z**2. Let f(n) = -n**3 - 4*n**2 + 50*n + 113. What is the least common multiple of f(-2) and y(-1)?
105
Calculate the common denominator of 87/104 and (-8550)/1404 + (17 - 12).
312
Suppose -5*d = 5*f + 11275, -d - 11265 = 4*d - 5*f. Let q = 22561/10 + d. Calculate the common denominator of 43/16 and q.
80
What is the least common multiple of 1008 and (32/54)/(170/5100) - (-4)/18?
1008
What is the common denominator of ((-9)/(-240))/(3942/(-50735)) and -17/54?
864
Let d = 328 - 344. Calculate the smallest common multiple of -3*(-2 + (-3 - d/6)) and 3.
21
Let p = -8104 + 8194. Calculate the smallest common multiple of 99 and p.
990
Let c be -34*(4 + (-76)/8). Suppose 7*j - 149 = c. Calculate the smallest common multiple of 36 and j.
144
Let c(d) = -d**3 - 18*d**2 + 220*d + 20. Calculate the smallest common multiple of 1 and c(-27).
641
Let b = 8/565 + -44651/1130. What is the common denominator of 145/384 and b?
384
Let i(x) = -7*x**2 + 1231*x - 306. Calculate the lowest common multiple of 1304 and i(174).
3912
Suppose 5*r - 5*i = 4100, 72*i + 3284 = 4*r + 67*i. Let t = 868 - r. Suppose -w + 6*w - 55 = 0. What is the least common multiple of t and w?
572
Let r = 8755 + -7075. What is the least common multiple of r and 32?
3360
Let p(y) = -y**2 + 117*y + 2743. What is the smallest common multiple of 4452 and p(137)?
4452
Let l = -32278411/325 + 99318. What is the common denominator of l and 51/1450?
18850
Let d = -340 + 39. Let z = d - -319. Calculate the smallest common multiple of 48 and z.
144
Let z be 2*(((-110)/(-4) - -3) + -2). Suppose -3*v + z = 9. What is the smallest common multiple of 16 and v?
16
Let i(p) = -4*p - 64. Let k be i(-18). Suppose 0 = 3*q - 4*j + 4, -5*q - 5*j = k + 22. Calculate the smallest common multiple of 9*(q/(-3 - -2) - 2) and 18.
18
Suppose 2*p - 4*p = 2. Let k = p - 14. What is the lowest common multiple of 8 and k/(-6)*4/2?
40
Let r(d) = -6*d + 9. Let g(l) = 2*l - 3. Let u(m) = 8*g(m) + 3*r(m). Calculate the lowest common multiple of u(-3) and 28 + 2*(-5)/2 + 0/(-9).
207
Let i(a) = -3*a**2 - 97*a - 12. Let k be i(-32). What is the common denominator of -55/8 and -1*((-512)/k)/4?
40
Let d be 1*(0/(-4) - -19). Suppose 0 = 3*w + 4*o - 86, o + 58 = 2*w + d. Let x = 122 - 98. What is the smallest common multiple of x and w?
264
Let p = -5418425/6 - -896488. Let v = p - -6598. Calculate the common denominator of v and 7/172.
516
Suppose 0 = 5*o + 4*j - 280, -11*o + 14*o = -3*j + 165. Let b(v) = -v**3 + 19*v**2 + 22*v + 8. Calculate the least common multiple of o and b(20).
240
Suppose -52 + 152 = -5*a. Let y(w) = -10*w - 67. Let s(c) = -18*c - 135. Let l(v) = 3*s(v) - 5*y(v). What is the lowest common multiple of l(a) and 4?
20
Let s = -154 + 279. Find the common denominator of 1/25 and 35/(-5) + 4 + 397/s.
125
Suppose -154*l + 2082 = -148*l. Let u = 357 - l. What is the least common multiple of u and 19?
190
Let u = -4/1669 + 168577/3338. Let v be 30038/(-115)*(-463)/12. Let s = 10077 - v. What is the common denominator of s and u?
30
Let s(h) = h**2 + 4*h + 3. Let n be s(-4). Suppose -n*p + 8 + 19 = -3*k, 5*p - 2*k - 54 = 0. Calculate the smallest common multiple of p and 6/(-4) + 171/18.
24
Let o = -889 - -465. Let r = o + 454. Calculate the smallest common multiple of r and 10.
30
Let b be ((-19)/2)/(3/(-6)). Suppose 93*y + 3*y - 21*y = 525. Suppose b - y = 4*o. Calculate the least common multiple of o and 10.
30
Let n = -142 - -94. Calculate the common denominator of ((-480)/3680)/(1/13) and n.
23
Let i(a) = 13*a**3 - a**2 - 10*a + 33. Calculate the least common multiple of i(3) and 138.
690
Suppose -3*f - 1300 = 4*u, -5*f = -2*u + 1830 + 380. Let v = -561/10 - -7361/130. Find the common denominator of (-10)/(-55) + 3204/f and v.
130
Let f(p) = 3*p - 19. Let m(l) = -2*l**2 + 35*l + 23. Let u be m(18). Let x be f(u). What is the least common multiple of (x - -1)*((-15)/(-9))/(-1) and 9?
45
Let p = 23 - 19. Suppose 0 = 2*s + p*c - 24, s - 15 = -c + 2. Calculate the smallest common multiple of s and 32.
352
Let f be ((-14)/(-4))/(284/(-32) - -9). Suppose 43*s - f*s - 135 = 0. Calculate the least common multiple of s and 54.
54
Let h be 6/(-45) + 619174/(-15). Let m = h + 196663/5. Let t = m - -1953. Find the common denominator of t and 137/6.
30
Let u = -313 - -786. Suppose -4*r = -5*y - 69 + u, 5*r + 3*y + 542 = 0. What is the common denominator of -5/3 and -4 - r/(-24)*2?
6
Let p = -441402 + 7056963/16. Let u = -342 - p. What is the common denominator of 381*(-8)/288 + (-20)/(-15) and u?
16
Let a = -20069654700733/26537524038