nd 420?
420
Let u = -18/5905 + 989159/992040. Find the common denominator of u and -73/1652.
9912
What is the least common multiple of 4 and (133/(-14) + -2)*-1060?
24380
Suppose 2*a - 28 = 180*j - 176*j, 0 = 4*a + 3*j - 1. Suppose -36 = -2*b - 6. Suppose -z = a*z - b. Calculate the smallest common multiple of 41 and z.
123
Suppose 2484 - 9114 = 6*z. Let t = 5489/5 + z. Calculate the common denominator of t and -30.
5
Let x = -100/43193 - -4779479/142796058. What is the common denominator of -131/30 and x?
16530
Let b = 34701 + -4476385/129. Let a = -16/887 - -33683/47898. Calculate the common denominator of b and a.
2322
Suppose -k - 296 = -2*a, 2*k - 496 - 88 = -4*a. Let z = 6 + 15. Calculate the smallest common multiple of a and z.
147
Let z(q) be the first derivative of -9*q**2 - 49*q - 128. Calculate the smallest common multiple of 14 and z(-7).
154
Let u(z) = -5*z**2 + 141*z + 53. Calculate the lowest common multiple of u(28) and 198.
1782
Let u(w) = 2*w - 19. Let q be u(9). Calculate the least common multiple of (1505/(-86))/(1/2 + q) and 45.
315
Let l = -333/679 + -2465/24444. Find the common denominator of -23/63 and l.
252
Let c = -340780 - -67474585/198. What is the common denominator of c and 0/(-2) + (-198)/16?
792
Suppose 48*b - 15 = 43*b. Suppose b*g - h = 58, -2*g - h + 14 = -g. Calculate the common denominator of (66/(-81))/(3/g) and -41/2.
18
Let b(z) = -47 - 2 + 17*z - 44. What is the least common multiple of b(8) and 4?
172
Let c = -1/3265 - -199204/127335. Find the common denominator of (-242)/(-60) - (12/5 - (-190)/(-100)) and c.
195
Let s = 4 - 0. Let b(a) = 94*a**3 - 2*a + 2. Let k(j) = -j**3 + 34*j**2 + 112*j - 36. Let p be k(37). What is the lowest common multiple of s and b(p)?
188
Suppose -18 = -0*k + k + o, -4*k + 4*o - 96 = 0. Suppose -27*m + 600 = -264. Find the common denominator of k and (0 - m/9) + -4.
9
Let a be (-3)/(-315)*(30 - 31)*(-2 - -3). Let c = -167209063097/6510 + 25684956. Let y = a - c. Find the common denominator of -149/6 and y.
186
Let t be 4727/(-540) + (8/2)/8. Let a = -100/27 - t. What is the common denominator of a and ((-1)/(80/(-6)))/(-3)?
40
Suppose -5*l - 95 + 910 = 5*p, 813 = 5*p + 4*l. Suppose -41 = 10*g - p. Let o(h) = h**2 - 4. What is the least common multiple of g and o(4)?
12
Let m(z) = -z**3 + 7*z**2 + 18*z + 14. Let i be 9 + (-1)/(-5)*0. Calculate the least common multiple of 95/6 + 10/60 and m(i).
112
Suppose -5*z + 8779 = 2*d, -2*d + 285 + 4984 = 3*z. What is the smallest common multiple of z and 27?
1755
Suppose -430*q + 411*q + 380 = 0. Let t = -33 - -65. Calculate the smallest common multiple of q and (19/4)/(4/t).
380
Let n = 224671757/105 - 2140070. Let f be (2/6)/((-28)/(-28746)). Let b = n + f. Calculate the common denominator of b and 34/3.
30
Suppose -247*v - 420 + 2890 = 0. What is the lowest common multiple of v and 50?
50
Let f = -569 - -14253/25. Let x = -4681 + 37381/8. Find the common denominator of x and f.
200
Suppose 16*f - 17*f + 2*n = -10, 8 = 2*n. Calculate the least common multiple of 204 and f.
612
Let z(i) = -i + 16. Let y be z(11). Suppose 39 = 3*a + m, -y*a - 2*m = m - 69. What is the lowest common multiple of a and 9?
36
Let b = 171305/146124 - 480/451. What is the common denominator of b and 19/216?
648
Let a = 1090371 - 3218775313/2952. Find the common denominator of 71/6 and a.
2952
Let h = 280411/32 + -8761. Find the common denominator of (-98)/(-72) - 16/4 and h.
288
Let k(q) = -q**2 + 8597. Let u be k(0). Let a be 7214452/(-840) - (-1)/3. Let z = u + a. What is the common denominator of z and -13/4?
20
Find the common denominator of -139/60 and (13728/(-2304))/(15/4).
180
Let n(g) = 25*g - 308. Let i(d) = -51*d + 617. Let s(t) = -6*i(t) - 11*n(t). What is the smallest common multiple of s(11) and 4 + (-2 - -4) + 0?
54
Suppose -4*k + 4 + 12 = 0. Let y be ((-1)/5)/(2/(-5))*k. Calculate the common denominator of 553/84 - y/(-8) and -57/2.
6
Let y(z) = z + 1. Let k(r) = r**2 - 11*r + 15. Let u(i) = k(i) - 3*y(i). Let j be u(8). Let q = 54 + j. Calculate the lowest common multiple of 1 and q.
18
Let b(s) = 6*s + 196. Let d be b(-30). Let t(v) = 2*v**2 - 28*v - 43. Calculate the lowest common multiple of t(d) and 12.
84
Let c(p) = -478*p - 5255. Let k = -37 - -25. What is the lowest common multiple of c(-11) and (k/(-8))/(6/40)?
30
Let p = 519813809/946 - 549486. Find the common denominator of p and 89/860.
9460
Let l = 350 - 348. Find the common denominator of ((-364)/160)/(1/l) and -19/100.
100
Suppose 5*l + l - 60 = 0. Suppose -4 = 5*c - 3*i, 3*i - l = -4*c + i. Suppose 3*v = -c + 13. Calculate the least common multiple of v and 60.
60
Let r = -3 - -11. Let m = -38 - -41. What is the least common multiple of r and (-33)/(-1)*(13/m + -4)?
88
Let k be 210*((11 - 7) + -5). Let t = 224 + k. What is the smallest common multiple of 14 and t?
14
Suppose 4*j = -3*x + 89, 3*x - 13 - 16 = -j. Calculate the smallest common multiple of 880 and j.
880
Suppose 2*d + 148 = 2*n, 2*d + 3*n = 6*d + 300. Let h = -4399497/106 + 41505. What is the common denominator of d/32 - (0 - (-4)/2) and h?
848
Let c be 6/24112*23504/(0 - 8). Let v = 315/137 + c. Calculate the common denominator of -63/20 and v.
220
Let k = -11483 - -11699. What is the least common multiple of 168 and k?
1512
Let p be (-8)/(-2) + (1535870/(-63))/10. Let w = p - -2437. Let n = -1/133 + -2113/1995. Calculate the common denominator of w and n.
45
Let u be 720/104 - (-3)/39. Suppose -5*o - 21 = -76. Calculate the smallest common multiple of 4 and (o - u) + 6/2.
28
Suppose -2*r + 228 = 5*c, 11*r - 14*r + 126 = 3*c. Suppose 23 = f - 19. Calculate the lowest common multiple of f and c.
336
Let b = -3760350 + 12078244105/3212. Calculate the common denominator of b and -21/242.
35332
Let f be 12/((-20)/(-4) + -6). Suppose -j - 19 = -3*y, 4*j - 2*j + 3 = -y. Calculate the least common multiple of 16 and y + 4/(16/f).
16
Calculate the common denominator of (6/(-4214))/((-70)/6615) and -61/86.
602
Suppose -2 - 1 = -l. Suppose 104 = -l*d + 2*b, d + 4 = 2*b - 24. Find the common denominator of (-1058)/(-224) - d/(-133) and -109/22.
176
Suppose 112 - 13 = 11*b. Suppose -b*c = -4*c - 495. Calculate the smallest common multiple of c and 11.
99
Calculate the common denominator of -139/1584 and (2 - (-6909)/3520) + 66 + -70.
31680
Let i = -87469/142 + 1231/2. What is the common denominator of 42/781 and i?
781
Suppose -h + 4*y = -12 + 2, -2*h - 4*y = 4. Suppose j + c = -2, 0 = -4*j - 4*c + h*c. Suppose -j*b + 13 = 7. Calculate the least common multiple of b and 7.
21
Let j(h) = -h**2 + 12*h + 15. Let r be j(13). Let s = -4499 + 94412/21. Calculate the common denominator of s and (-4)/6 + r/(-5).
105
Let y be 1 - ((-16)/4 + 0 + 2). Suppose 0 = 14*g - y*g - 66. What is the lowest common multiple of 24 and g?
24
Suppose -28*r = 28819 + 10325. Let a = 11159/8 + r. Let w = -62623/207018 - -3/3286. Find the common denominator of a and w.
504
Suppose 4360 = 4*d - 7*z, 4*z + 1586 = d + 496. What is the least common multiple of d and 654?
3270
Let k(o) = -46*o - 46. Let x be k(-1). Find the common denominator of x - (474/12 - 4) and 19/474.
474
Let m(p) = p**2 + p + 4. Let o be m(0). Suppose -o*t - 2 + 10 = 0. What is the lowest common multiple of 8 and 44*(t/12 - (-9)/27)?
88
Let f be 1 - ((-1687839)/189 + -2). Let u = f + -8932. Find the common denominator of u and 20/63.
63
Let x(b) = -b**2 - 11*b + 31. Let q be x(-13). What is the lowest common multiple of 7 and q/((-75)/10)*6/(-4)?
7
Let z = -3881 + 3890. What is the lowest common multiple of 3936 and z?
11808
Suppose 0 = 28*x - 100945 - 139995. Let m be (215/(-12))/((-3)/1442). Let v = m - x. Calculate the common denominator of -67/22 and v.
198
Let s be ((-486)/12)/(-9)*32/2. Let i = s + -58. Let p(b) = b**3 + 11*b**2 - 11*b + 14. Calculate the least common multiple of i and p(-12).
14
Let r(k) = 5*k**2 + 28*k + 56. Let x be r(-2). Suppose 4*j = -x*j + 336. What is the smallest common multiple of j and 10?
70
Let i(r) = -5*r - 74. Let v be i(-13). Let a(c) = -3*c**2 - 32*c - 30. Calculate the least common multiple of 81 and a(v).
405
Let u = 8743/6 - 1453. Suppose -3*g - 38 = -2*c - 3*c, 16 = 4*g. What is the common denominator of u and ((-12)/c)/3 + 12448/(-288