22
Let n = -2 + 5. Suppose 0 = 3*x - 3*f - 42, n*f = f - 6. Calculate the lowest common multiple of (-22)/44*(19 + 1)/(-5) and x.
22
Let f = 421/804 - -4/67. Calculate the common denominator of f and 103/56.
168
Let z be 4/3*114/4. Let x = -14 + z. What is the least common multiple of 12 and x?
24
Calculate the common denominator of 10/23 and (-40)/290*47/4.
667
Let b = 64 + -38. Suppose t - b - 14 = 0. Calculate the smallest common multiple of 22 and t.
440
Let z(f) = -4266*f - 31. Let s be z(-4). Let r = s + -3134135/184. Calculate the common denominator of 2/9 and r.
1656
Suppose 36580*i = 36542*i + 380. What is the lowest common multiple of i and 7430?
7430
Suppose -3*n - 435 = -3*p, -3*n - p = -0*p + 443. Suppose 5*z = -x + 19, x = 3*z + 2*z - 21. Calculate the smallest common multiple of 6 and (27 - x)*(-42)/n.
24
Suppose 0 = 2*r + 2*g - 15 - 101, 3*g = 4*r - 246. Calculate the lowest common multiple of r and 990.
1980
Let r = -16871 - -16887. What is the smallest common multiple of 26268 and r?
105072
Let i = -3 - -6. Let v(x) = -x**2 + 2*x + 26. Let l be v(0). Suppose -3*r = -l + 11. Calculate the smallest common multiple of i and r.
15
Suppose 25*o + 8 = 26*o. Suppose -5*t = -82 + 57. Suppose 6 - 2 = -4*g, -t*q - g = -19. What is the least common multiple of o and q?
8
Let g = -66711/805 - -1954/23. Find the common denominator of 47/7 and g.
35
Suppose 14687 + 18984 = 17*p - 26441. What is the smallest common multiple of p and 26?
3536
Let y(x) = 7*x + 49. Let j be y(-7). Suppose -2*u + 103 - 59 = j. What is the smallest common multiple of 20 and u?
220
Let z = 502/22781 + 8/1199. Let d = 4747/2090 + z. Let v = -6/203 + 16085/1624. What is the common denominator of d and v?
40
Let u = 2593/6 + -420. Let n be (-1060)/159*(0 - (-6)/(-5)). What is the common denominator of u and (267/(-30) - 2) + (-4)/n?
30
Suppose -142 = -8*a - 118. What is the least common multiple of (180/21)/(a - 19/7) and 285?
570
Let s = -11567967693/67184 - -2238384/13. Find the common denominator of s and 149/228.
15504
Let g(n) = -3*n**2 + 19*n - 11. Let f be g(7). Let p(x) = 2*x + 94. Let j(v) = 2*v**3 - 4*v**2 + 2*v. What is the smallest common multiple of j(2) and p(f)?
44
Let p = -11755061579/2550 + 4609828. Calculate the common denominator of 26/2295 and p.
22950
Suppose -6*s + 3*s + 2*c + 11 = 0, 3*c + 12 = 3*s. Let z = -53 + 55. Calculate the least common multiple of (-2 - z)/(-2)*(-1 + 7) and s.
12
Let i be (-6)/(-10) - (-528)/20. Calculate the common denominator of (11760/640)/(0 + (-30)/(-4)) and i*2*2/80.
20
Suppose u = -2*c - c + 9, -2*u = 6. Let x be (c/(-10))/((-3)/30). Suppose -j = x, 2*b = 3*j - j + 12. What is the smallest common multiple of 4 and b?
4
Let r(g) = g**2 - 33*g - 32. Let z be r(34). Suppose -z*y + y + 3*d - 12 = 0, -5*y = 5*d - 40. Calculate the least common multiple of 48 and y.
48
Let l = 559 - 563. Find the common denominator of ((-57)/(-6))/(3 + l + -6) and 47/136.
952
Suppose a - 5*a - 128 = -l, -5*a + 2*l = 160. Let p = 25 + a. What is the common denominator of -47/4 and p/28 + (-187)/20?
20
Let t = -310531/147364 + 1/10526. What is the common denominator of t and 91/986?
13804
Let c = 32795 - 32536. What is the least common multiple of c and 10?
2590
Let y = 627994 + -627843. Let v(d) = 10*d**3 + 2*d - 1. Calculate the smallest common multiple of v(1) and y.
1661
Suppose -6*k - 424 = 5*u - 2*k, -165 = 2*u - 3*k. Calculate the common denominator of (-1 - -3)/(15/u) and (-62)/12*2/(-3).
45
Calculate the least common multiple of 57 and 727/11 + -23 + 1260/55.
1254
Suppose 10*k + 5*f = 3*k + 41223, -k = -4*f - 5889. Calculate the lowest common multiple of 9 and k.
17667
Let j = -2043 - -19494. Let p = 3166577065/27 - 117263179. Let k = j - p. Calculate the common denominator of 53/33 and k.
297
Let c be 2 - (-3 + 0 - 579). Calculate the common denominator of 73/80 and (-6)/45 - c/(-1680).
560
Let j = 3/950 + -13067/1425. What is the common denominator of j and -17/120?
120
Suppose -2*g + 17 + 7 = 0. Suppose 0 = 31*i - 33*i + 2*s + 36, -5*i = -2*s - 90. What is the lowest common multiple of i and g?
36
Suppose -5*t + 1726 = b, 10*t - b = 6*t + 1370. What is the lowest common multiple of t and 8?
344
Find the common denominator of 37/2926 and -326*(-2)/112 - 177/(-708).
2926
Let p(q) = 28*q + 42. Let s be p(1). Calculate the common denominator of -51/49 and 10/(-200)*-12 - 2/s.
49
Suppose -14545 = -3*a - 52060. Let u = a - -900473/72. Calculate the common denominator of -121/36 and u.
72
Suppose m - 5*p - 45 = 335, 0 = -5*p + 20. Let d be 1415565/m - 4/(-10). Let k = d + -3537. Calculate the common denominator of -61/18 and k.
144
Suppose 22*i - 14*i = 561 + 479. What is the smallest common multiple of 52 and i?
260
Suppose 2*k + 78 + 99 = 3*c, 4*k = -c + 87. Let z(o) = -25*o - 3. Let i be z(-3). Let h = i - c. What is the lowest common multiple of h and 9?
9
Let b = -23711072602491067/120435 + 196878586809. Let u = b - -2/5735. What is the common denominator of 62/27 and u?
189
Calculate the common denominator of (19278160/(-18528))/(-55) + -19 and -7/78.
15054
Suppose -d + 5 - 4 = -o, -5*d + 14 = -2*o. Let f(z) = 14*z**2 + 2*z + 4. What is the lowest common multiple of d and f(-1)?
16
Find the common denominator of (21/(-175))/(6468/(-560)) and -79/840.
9240
Let p be (-3 - (-74)/26) + (-10770)/(-39). Suppose 0 = 16*s + 84 - p. What is the smallest common multiple of s and 784?
2352
Suppose -297 = -610*q + 601*q. Calculate the lowest common multiple of 222 and q.
2442
Let c = 2199777087/178250 - 283842/23. What is the common denominator of c and 12/155?
7750
Let c = 38112 - 13148626/345. Find the common denominator of c and -59/115.
345
Let o(i) be the first derivative of 4*i**2 - 5*i + 5. Let k be o(3). Suppose -3*r = -q + k, r - 5 = -q - 2. Calculate the lowest common multiple of q and 10.
70
Let t = -10/20157 + -3943853/403140. Let n = -578943/29390 - 4/2939. Let d = n - t. What is the common denominator of -32/15 and d?
60
Let g = 40 - 226/5. Calculate the common denominator of g and 42/72*1298/77.
30
Suppose 87*u - 2729 = 11191. What is the lowest common multiple of 320 and u?
320
Let i be (-1 - (-3)/2)/(18/108). What is the common denominator of i/(-24) + (-790)/(-176) and 58/25?
275
Suppose 24955 = -3*y - l - 0*l, -33290 = 4*y - 2*l. Let b = -99901/12 - y. Find the common denominator of b and -47/4.
12
Let x(u) = 3*u + 9. Let t be x(-7). Let f(v) = 6*v + 14. Let s be f(t). Calculate the common denominator of 51/4 and (5/72 + 0)*s.
36
Suppose 5*k - 2*p = 201, -129 = -3*k - 5*p + 2*p. Let m = -37 + k. Calculate the smallest common multiple of 47 and m.
188
Suppose -223*v - 34816 = -239*v. What is the smallest common multiple of v and 12?
6528
Let n(w) = 3*w**2 - 15*w + 24. Let l(s) = s**3 + 11*s**2 + 9*s - 5. Let d be l(-10). What is the lowest common multiple of n(d) and 32?
96
Let p be (-4)/6 - 338/6. Suppose -87 = 15*s + 48. Calculate the common denominator of (p/6)/((-6)/(-8)) and s.
3
Let x = -1009 - -25214/25. What is the common denominator of x and (3/(-2))/(150/(-295))?
100
Let x(f) = f**3 + 21*f**2 + 16*f - 79. What is the lowest common multiple of x(-20) and 761?
761
Let c = 2067 + -1310. Let a = c + -638. What is the lowest common multiple of a and 51?
357
Suppose -s + 3*b = 0, -7*b + 2*b = 4*s - 85. Let j(r) = r**2 - 15*r + 2. Let a(p) = p + 5. Calculate the least common multiple of j(s) and a(5).
10
Let v = -4324/81 + 261913/810. Let w = 539/2 - v. What is the common denominator of (56/(-30))/4 + 1 and w?
15
Calculate the least common multiple of (-6 + 5 - -5)/((-5)/(-220)) and 6.
528
Let u(d) = 2*d**2 + d + 2. Let h be u(2). Suppose 0 = -5*v - 5*m + 50, 11*m = -2*v + 7*m + 20. Let p = h - v. What is the smallest common multiple of 7 and p?
14
Let s(l) = -31*l**2 + l - 32. Let j = 24 - -2. Let w be s(j). Let t = -1488276/71 - w. What is the common denominator of 31 and t?
71
Let w(l) = -1299*l**2 - 5*l - 5. Let s be w(-2). Let n = s + 31055/6. Calculate the common denominator of -25/9 and n.
18
Let f(l) = 7*l**2 + 35*l + 122. Let x(r) = -3*r**2 - 18*r - 61. Let g(p) = 2*f(p) + 5*x(p). Calculate the lowest common multiple of 77 and g(-8).
385
Let y(h) be the second derivative of h**3 + 75*h**2 + h - 76. What