 least common multiple of 228 and (117/(-312))/(5/(-80))?
228
What is the common denominator of 4/(-40) - (-2214)/7140 and -47/34?
238
Let i = -20556 + 4810115/234. What is the common denominator of 67/78 and i?
234
Suppose -2*t = 7*t - 2448. What is the common denominator of 43/12 and (-35)/45*t/28?
36
Let h = 489 - 18589/38. What is the common denominator of h and -1 - 0 - (-13)/12?
228
Let a(o) be the second derivative of -o**4/12 + 3*o**3/2 - 6*o**2 + 3*o. Calculate the lowest common multiple of a(5) and 6.
24
Let r(w) = -w**3 - 9*w**2 + 8*w - 4. Let h be r(-10). Suppose 22*c - 24 = h*c. Calculate the smallest common multiple of 20 and c.
20
Let g(k) = 23*k - 1. Suppose 0*y = 4*y - 20. Suppose -o - y = -6*o. What is the least common multiple of 26 and g(o)?
286
Suppose 5*t - 4*t = -3. Calculate the common denominator of (-58)/12 + -3 + 1/(-3) and 9*(t + 175/48).
48
Let f = 385/24 + -311/12. Let g be (-232)/(-12)*(-63)/(-24). Let l = g - 51. What is the common denominator of l and f?
8
Find the common denominator of 13/((-468)/328) - -4 and 43/18.
18
Suppose 2*x - k = k - 2, -5*x - 2*k = -16. Calculate the least common multiple of x and 2.
2
Suppose 2*h - 2704 = -4*s, 3402 = 40*s - 35*s - 3*h. What is the smallest common multiple of s and 3?
678
Let b(q) = -q + 4 + 13*q - 17 - q**2. Let a be b(11). Calculate the smallest common multiple of 10 and ((-24)/(-16))/(a/(-4)).
30
Let u = 2/745 + 18621/1490. Calculate the common denominator of u and 167/120.
120
Find the common denominator of -51/20 and 6/((-792)/276) - 2/2.
220
Let l = -2890 - -78016/27. Find the common denominator of l and (-2)/5 + 1/(-210).
378
Let j = 12 - 13. What is the common denominator of 23/(-30) - j*(1 + 1) and 7/6?
30
Let m = 33/14 + 124/35. Suppose -3*l = 2*l - 595. Find the common denominator of l/(-12) - (-3)/(-12) and m.
30
Suppose 400 + 0 = 10*w. Calculate the smallest common multiple of w and 152.
760
Let p be ((-68)/(-6))/(2/6). Let z = 40 - p. Calculate the lowest common multiple of 8 and z.
24
Let g(o) = 13*o + 39. Let c be g(-15). What is the lowest common multiple of (-4)/(-6)*-2 - 2704/c and 10?
80
Suppose 5*l - x - 497 = 0, 0*l + 2*l - 215 = -5*x. Suppose 4*j - 8*j = y - 2, j = -4*y + 53. Calculate the smallest common multiple of y and l.
700
Suppose -11 - 6 = -w - 5*k, 0 = 3*w + 5*k - 41. Let r(n) = n**3 - 5*n**2 + 7*n + 1. Calculate the lowest common multiple of w and r(5).
36
Let m(r) = 96*r + 489. What is the smallest common multiple of m(-5) and 342?
342
Let c = -24395074614221/13168 + 1852602873. Let p = 10/823 - c. What is the common denominator of p and 89/12?
48
Let d(z) = -z**2 + 2*z**2 + 4 + 3*z + 4*z**2 + 3*z**2 + z**3. Calculate the lowest common multiple of d(-7) and 12*((-1)/6 - (-3)/2).
32
Suppose 95 - 25 = 35*t. What is the least common multiple of 116 and t?
116
Let f = -2221 - -24382/11. Find the common denominator of -40/249 and f.
2739
Let s = 3/28416622 + 2385625145972/156291421. Let g = s - 15261. Find the common denominator of g and ((-2)/4)/(-1 - 0).
22
Let y = -48383 - -9144313/189. What is the common denominator of y and -86/63?
189
Let j = -357 + 364. What is the smallest common multiple of 1 and j?
7
Let k(v) = 4*v + 28. Let m be k(-15). Let c = -24 - m. What is the least common multiple of 2 and c?
8
Let u = -34389721/10 + 3441797. Let l = u + -2828. What is the common denominator of l and -131/6?
30
Let i be 1 + 1238/(-324) - (36 + -39). Let m = i + -233/162. Calculate the common denominator of -94/15 and m.
135
Let v(h) = h**3 - 8*h**2 + 20*h - 7. Let c = 193 + -189. Let t(u) = -u + 9. What is the smallest common multiple of v(c) and t(6)?
9
Calculate the common denominator of 1 + (1960/704 - 5) and 31/14.
616
Suppose -k + 12 = a, -2*a + 56 = -4*k + 14. What is the lowest common multiple of a and 21?
105
Let n(m) = -2*m**3 - 4*m**2 + 9*m + 4. What is the lowest common multiple of 72 and n(-4)?
288
Find the common denominator of -113/24 and (15 + -5)*(-68)/(-48).
24
Let y(q) = q**2 + 17*q + 45. What is the least common multiple of 12 and y(-14)?
12
Let r = -49 + 57. Suppose -m + 8 = -q, -m - 3*q - 7 = -q. Suppose 0 = -4*n - 5*o + 31, 4*o - 27 = -m*n + o. Calculate the smallest common multiple of r and n.
56
What is the common denominator of 1 - (6 + 633/(-156)) and -25/16?
208
Suppose -u = -m + 5, -2*m - 3*u = -7*u - 18. Suppose -c = -7 - m. What is the smallest common multiple of 8 and c?
8
Let m be (-27)/6 + 15/10. Suppose 6*o - 45 = 9. What is the lowest common multiple of o and m/7 + 708/84?
72
Suppose r = -r + 204. Let m be -6 - (0 - (2 + 0)). Calculate the common denominator of 31/2 and r/64*(m + 2).
16
Let c = 1374011/40 + -34348. What is the common denominator of -67/4 and c?
40
Suppose -5*g + 4*y + 573 = 61, g - 4*y = 112. Find the common denominator of -13/4 and (-3 - (-62)/g)/(8/10).
40
Suppose 0 = 2*j - j + 1, 0 = -2*q - 2*j - 2. Suppose -2*v + 16 - 2 = q. Let i = 13 - 8. Calculate the lowest common multiple of i and v.
35
Let c be 5*8/180 + 4/(-18). What is the common denominator of -29/20 and 4/(-7) - c - (-1712)/(-8960)?
80
Suppose 0 = -2*s - 58*d + 57*d + 30, -3*s + 45 = 2*d. Calculate the lowest common multiple of 48 and s.
240
Suppose 0 = 12*m + 5 - 101. Suppose -2*b - 13 = -3*q, -2 = -q + 3*b - 0. What is the smallest common multiple of q and m?
40
Let o(y) = y**2 + 6*y + 22. Calculate the lowest common multiple of 2544 and o(-4).
17808
Let d(s) = 3*s**2 - 9*s + 25. Let t be d(3). Suppose -t = -8*w + 7. Calculate the least common multiple of w and 60.
60
Let c(o) = -o**3 - 2*o**2 + 7*o + 4. Calculate the smallest common multiple of c(-5) and 32.
352
Let k = 2/2011219 + -13091024515/44246818. Let x = k - -294. Calculate the common denominator of -97/20 and x.
220
Let u be ((-148)/4)/((0 - 1)*1). Let j = u + -23. Calculate the least common multiple of j and 4.
28
Suppose -w - 12*d + 14*d + 12 = 0, 2*w - 22 = 3*d. Calculate the smallest common multiple of 20 and w.
40
Let l = 145 - 226. Calculate the common denominator of (l/(-30))/((-6)/(-9)) and -11/10.
20
Suppose d + 7 = 41. Suppose -103*z = -135*z + 192. What is the least common multiple of d and z?
102
Suppose 3*u = -2*u + 3*h + 63, 0 = -4*u - 2*h + 68. Suppose 11 + 5 = 4*z. What is the lowest common multiple of z and u?
60
Let c be (-112)/(-6) + 1*5/15. Suppose h + c - 49 = -2*v, -v + 45 = 2*h. What is the lowest common multiple of h and 3?
60
What is the lowest common multiple of (68/170)/(2/100) and 164?
820
Suppose 0 = -17*a + 21*a + 12. Let n be a*-7*(-2)/(-6). Suppose -t = -4*k - 12, n*k - 24 = -2*t + 2*k. Calculate the least common multiple of 12 and t.
12
Suppose 19*p = 23*p + 3*g - 104, -5*g + 130 = 5*p. What is the least common multiple of p and 100?
1300
What is the common denominator of -19/45 and (-16115)/(-660) - 2/(-8)?
45
Let u be 145/(-20) - 1/(-4). Let o = u + 12. Find the common denominator of ((-412)/(-140))/((-2)/o) and -23/20.
140
Let r = -26 - -25. Find the common denominator of 2/((-64)/186)*-1 and (r/5)/(11/((-11110)/28)).
112
Let z = 401 - 397. What is the smallest common multiple of z and 5?
20
What is the smallest common multiple of 625/30 + (-5)/(-30) + 0 and 42?
42
Let i(c) = c**3 - 7*c**2 - c + 4. Let q be i(2). Let d(g) = 2*g + 48. Calculate the lowest common multiple of d(q) and 30.
60
Suppose 69 = 3*t - 3*g, -6*t - 4*g = -9*t + 74. Calculate the lowest common multiple of (6/(-4))/((-2)/48) and t.
36
Let h(d) = -89*d**3 - 4*d - 8. Let m be h(-6). Let v = -46577955/2422 + -1061/1211. Let a = m + v. What is the common denominator of -75/28 and a?
28
Let c(o) = o**3 - 6*o**2 + 6*o - 4. Suppose 0 = -5*v + v - 3*k + 1, -2*k = 10. Let r be c(v). Find the common denominator of ((-196)/r)/((-4)/(-6)) and 43/14.
14
Suppose -4*f + 3*v + 180 = 0, f + 2*v - v - 52 = 0. Suppose 0 = 12*d + f - 180. Calculate the smallest common multiple of 5 and d.
55
Suppose -3*d + 5*d - 7166 = 0. Let i = d - 25038/7. Let x(t) = 3*t**2 + 3*t. Find the common denominator of i and x(-2).
7
Let g = 517551/22 - 23529. Let o = 2557 - 20431/8. Find the common denominator of g and o.
88
Let n = -4643691/8 + 578665. Let x = n - -93789/56. Let z = x - -836/7. Find the common denominator of z and -56/3.
21
Suppose -w = 4*u - 20, 3*u - 6 - 9 = -w. Suppose -16