j and 133?
1862
Suppose -4*v + 1 - 33 = 0. Let j be (12/v)/(4/8). What is the common denominator of 83/31 + -1 - (0 - j) and -25/6?
186
Let m = -65 - -70. Suppose 4*g = -m*g + 99. Suppose 1 = 4*k - 7. What is the lowest common multiple of g and k?
22
Let k = -7949 - -119164/15. Let b = 1112/545 + 13/218. What is the common denominator of k and b?
30
Suppose 0*x = 3*x + 1080. Let q = -788 + 784. Calculate the common denominator of 133/12 and (-270)/q*27/x.
48
Calculate the common denominator of 49/484 and (3/(-5) + (-9)/(-12))/((-5214)/16748).
2420
Let k be (8 + 71945/(-8980))*(-7318)/(-30). Let r = -1/449 - k. Calculate the common denominator of 85/592 and r.
2960
Let v = 410 - -1186. What is the least common multiple of 4 and v?
1596
Suppose -24620 = 28*z + 9484. Calculate the common denominator of 0 + z/(-792) - (-1)/(-3) and -39/16.
176
Suppose 4*j = -5*t + 1042, -4*t - 3*j = -2543 + 1709. Calculate the least common multiple of 42 and t.
210
Let g = -523/22230 - 19/1170. What is the common denominator of g and 35/33?
9405
Calculate the lowest common multiple of 24 and (-162)/(-10)*55/11.
648
Let a be -8 + 4 - (-1818)/9. Let s = a + -6530/33. Find the common denominator of -83/12 and s.
132
Suppose 0*c + 450 = f - 4*c, -5*f + 4*c = -2122. Calculate the least common multiple of 14 and f.
2926
Let b(n) = -n + 10. Let j be b(10). Suppose 6*q + 6 = 2*d + q, j = -2*q + 4. Calculate the least common multiple of 920 and d.
920
Let q(u) = 51*u + 206. Let b be q(-4). Suppose 4*z = 5*k - 2*k + 95, 3*z - 70 = b*k. Calculate the least common multiple of z and 16.
80
Suppose 130 = v - 4*n - 98, v + 2*n = 240. Calculate the common denominator of -58/77 and 295/v + 794/(-280).
770
Suppose 4*i - 316 = -465*r + 463*r, i = -4*r + 86. Suppose 54 = -f + 4*f. Calculate the least common multiple of f and i.
234
Let w(q) = -2*q**3 + 13*q**2 + 4*q + 9. Let n be w(7). Calculate the lowest common multiple of 6 and (-110)/(-3)*(-54)/n.
330
Suppose -2054*o + 2057*o - 5316 = 4*m, 4*o - 7026 = -5*m. Calculate the least common multiple of 77 and o.
19404
What is the common denominator of -87/1586 and ((-34662)/204048)/(1/4)?
4758
Let h(f) = 8*f**2 + 4. Let x(m) = -9*m + 25. Let w be x(3). What is the smallest common multiple of h(w) and 8?
72
Let w(z) = z**2 + 73*z + 610. What is the smallest common multiple of 825 and w(-68)?
14850
Let l be 19/57*(1 - 0)*-3. What is the common denominator of 442/208 - (l + 7) and -83/60?
120
Suppose 10394 + 8986 = 6*u. Let s = u + -155051/48. What is the common denominator of s and -23/132?
528
Let x be 1 - (5 - 3)/2. Suppose -116 = -v - x*v. Suppose -3051*b + 432 = -3027*b. Calculate the smallest common multiple of v and b.
1044
Let w be 2 + 33 - -2 - -3. Suppose -w*l + 36 = -37*l. Let i(z) = z**3 - 6*z**2 + 5*z + 7. What is the lowest common multiple of l and i(5)?
84
Let y = -1164478137699/144156940 + -4/7207847. Let h = -8076 - y. What is the common denominator of -31/2 and h?
20
Suppose 5*a + 2983 = -3*r, -3*r - 2*r + 5*a - 4945 = 0. Let s be (29829/(-90))/((-2)/6). Let f = r + s. Calculate the common denominator of -7/17 and f.
170
Let h(c) = 472*c - 1450. Calculate the least common multiple of 91 and h(5).
910
Let f(p) be the third derivative of p**5/6 - p**4/6 + 7*p**3/6 + 21*p**2. Let t be f(3). Find the common denominator of 1479/t*10/(-4) and 47/5.
10
Let z = -38851/5414904 + 1/50138. Find the common denominator of z and -47/132.
2376
Let k be (-13)/(-52) + -3*(-218)/8. Suppose -5*h + 323 = -o, 15 - k = -h - o. Let g = h - 60. Calculate the smallest common multiple of g and 5.
5
Let a(d) = -13*d + 273. Calculate the least common multiple of 1*(3 + -2) + 9 and a(19).
130
Let g be 21/(-28) + (-386)/8. Suppose -2*s = -5*d + 343, 4*d - 2*d + 3*s = 122. Let a = d + g. What is the smallest common multiple of a and 30?
90
Calculate the common denominator of 1/8 + 1956/(-19680) and 73/6.
2460
Let f be (-8)/(-5)*(-45)/(-18). Suppose 2 + 38 = f*s. Let y(i) = -i**2 + 10*i - 6. Calculate the least common multiple of y(8) and s.
10
Find the common denominator of (3/5)/(2/10) + 1241/204 and (-10)/(-30)*213/(-2).
12
Let b = 128769/50 + -5151/2. Calculate the common denominator of b and -19/1920.
9600
Let y(p) = -2*p + 63. Let l be y(0). Let r be l/13 - (-8)/52. Suppose 4*n + 3 = -r, -2*w + 50 = 5*n. What is the least common multiple of 10 and w?
30
Suppose 4*v - 3*a = -29, 3*v + 0 = -4*a - 3. Find the common denominator of (-48)/20*v*1 and -12 - ((-7)/(-6) + -1)/((-74)/(-16428)).
1
Let q = -1070447 - -658323319/615. Let x = -21/41 - q. What is the common denominator of 58/75 and x?
75
Suppose 3*y - 5*o = -117 + 511, -y + o = -128. Suppose -135 = -2*d - 3*d. Calculate the lowest common multiple of y and d.
1107
Let r be ((-2)/4)/(8/(-5840)). Find the common denominator of 37/12 and (7/1680*8)/(4/r).
24
Let w = 12/2141 + 61081/179844. What is the common denominator of -9/140 and w?
420
Let w be (-26)/8*-8*1. Suppose -c + z + w = 4*c, -5*z = -4*c + 4. Let o(l) = 33*l - 196. Calculate the least common multiple of o(6) and c.
6
Let b = -290052/85 + 6825/2. Let c = b + -1298/255. What is the common denominator of 68/15 and c?
30
Suppose 2*m - 4*m - 8 = 0. Let n = m + 14. Calculate the common denominator of 61/12 and 6/n - ((-1274)/(-240) - -1).
24
Calculate the common denominator of (-2)/9 + (-1658)/72 and ((-98)/(-4))/((-45409)/182).
1996
Let v = 307 - 300. What is the smallest common multiple of (27/6)/((-3)/(-16)) and 26 + 2 - (v + -6)?
216
Suppose 2*m = 2*u + 3*m + 6620590, 3*u = -4*m - 9930880. Let s = u - -2025901627/612. Let a = s + 1/612. Find the common denominator of 31/6 and a.
18
Let g = 232251/627622 - -110/2879. Find the common denominator of -33/10 and g.
1090
Let b be (76 + -4)*1 - 3*-2. Suppose -2*r - 235 = -3*v, 5*r - 344 = -82*v + b*v. Calculate the smallest common multiple of 4 and v.
324
Suppose -10 = -5*s, -5*s + 143 = 3*a - s. Suppose -11*m + a = 34*m. What is the smallest common multiple of 9 and m?
9
Let s(h) = -17*h + 1014. What is the smallest common multiple of 1416 and s(54)?
5664
Let c(l) = -l**2 - 34*l + 72. Let i be c(-36). Suppose i*m + 72 = 12*m. Suppose 4*w - 21 = w. Calculate the lowest common multiple of w and m.
42
Suppose 926051 + 3523547 + 1239202 = 325*y. Calculate the smallest common multiple of 6 and y.
52512
Let m(b) = 6674*b - 10. Let h be m(1). Suppose 2*k + 2*v = 4466, 4*v = 3*k - 0*v - h. Let t = k + -26833/12. Calculate the common denominator of t and 81/86.
516
Let n(y) = 11*y - 56. Let u(t) = 23*t - 111. Let p(v) = -5*n(v) + 3*u(v). What is the least common multiple of 75 and p(7)?
225
Let k(v) be the third derivative of -v**6/120 - v**5/60 - 5*v**4/24 - v**3/2 + v**2 + 22. Calculate the smallest common multiple of 16 and k(-1).
16
Let t be ((8/(-10))/2)/(8/(-6140)). Let i = t + -302. What is the lowest common multiple of 33 and i?
165
Calculate the least common multiple of 9 and -32 + 26 + 0 + 3 + 99.
288
Let o = -11 + 45. Let k = -32508 - -32532. Calculate the least common multiple of k and o.
408
Let n = -6 + 8. Suppose 0 = -n*s + 7 + 13. Calculate the lowest common multiple of s and 2/(20/4 - (-168)/(-35)).
10
Let i = -5550 - -55623/10. Let g = -153/4 - -46. Calculate the common denominator of g and i.
20
Let u = 54229 - 54196. Let t be -1 - (2 - (1 - -38)). Let m = -12 + t. What is the least common multiple of u and m?
264
Suppose 3*w = 3*r - 7950, -13*r + 4*w + 13245 = -8*r. Let t = r + -95227/36. What is the common denominator of t and -10/39?
468
Let n(u) = -49990*u - 116 - u**3 + 20 + 47*u**2 + 49904*u. Calculate the lowest common multiple of 33 and n(45).
924
Calculate the smallest common multiple of 3388 and 2744/42*(4028/133 + -1*2).
20328
Let c = -10573/6 + 4419491/2508. Find the common denominator of -43/55 and c.
12540
Let b(j) = j. Let c(q) = -24*q - 1. Let h(o) = -4*b(o) - c(o). Calculate the smallest common multiple of (7/(-14))/(524/264 + -2) and h(4).
891
Let a(d) = 2*d**3 + 50*d**2 + 70*d + 585. What is the smallest common multiple of a(-24) and ((-16)/(-5))/(-2)*-15?
456
Suppose -4*z - 5*l + 139 = 0, 6*z - z - 4*l - 184 = 0. Suppose -3*w + z = 9*w. Calculate the common denominator of 6/7 and (-5)/w*(-3)/(-15)*-56.
21
Let q(p) = 2*p**3 + 8*p**2 - 84*p + 2. What is the sma