23
Let j = 40361/8 + -5054. Let m be 22/(-33) + (-2870)/(-4332). Let a = m - 6677/361. What is the common denominator of j and a?
8
Let r be (-2 + 88)/(10/(-3) + 3). Find the common denominator of 51/50 and (-6)/(-240)*r*(-4)/(-24).
200
Let u be (988/(-3))/(3*(-5)/1305). Let c = -4928115/172 + u. Find the common denominator of c and -13/4.
172
Suppose l - 22 = -3*p, p - 2*l = l + 14. Suppose -12*t + p = -52. What is the least common multiple of 14 and (1 - -5 - t)*(-2 + 4)?
14
Suppose -33*l + 50*l = -51. Calculate the common denominator of 46/33 and 24/l + 2668/207.
99
Let v(a) be the third derivative of a**5/60 + 13*a**4/24 + a**3/3 + 2*a**2. Let p be v(-13). Find the common denominator of -61/10 and p/(-6)*(-4017)/130.
10
What is the lowest common multiple of (-1086)/3620 + -1 + 126/20 and 7?
35
Let b(s) = -2*s**2 + 26*s + 63. What is the least common multiple of 89 and b(15)?
267
Suppose -5*t - 3*l + 66 = 0, -4*t + 28 = -5*l - 10. Let s(g) = 2*g**3 - 92*g**2 - 7*g + 346. Calculate the smallest common multiple of t and s(46).
24
Let i(x) = 16*x**2 + 171*x + 350. Calculate the smallest common multiple of 948 and i(-8).
948
Suppose 1173 = 2*u + 3*u - 3*x, 936 = 4*u - 3*x. Suppose v - 18*t = 72, -v - 158*t + 162*t + 30 = 0. Calculate the smallest common multiple of v and u.
1422
Let l(j) = 80*j + 1762. What is the smallest common multiple of (72/(-15))/(2/(-20)) and l(-22)?
48
Suppose 180*y - 177*y = 15. Find the common denominator of -115/24 and 11/40*y - -4.
24
Let w = -7905 - -8993. Calculate the least common multiple of w and 80.
5440
Suppose -3*c - 2*u = -1548, -1559*u + 1560*u + 1566 = 3*c. Calculate the least common multiple of c and 170.
8840
Let d = -63494121/26312 - -19305/8. What is the common denominator of 58/2093 and d?
23023
Suppose 19*l + 28377 + 30087 = 51*l. What is the smallest common multiple of l and 18?
3654
Let g(q) = -2*q - 11. Let f be g(-4). What is the smallest common multiple of (-2342)/(-46) + -6*f/207 and 12?
204
Suppose -2*t = -0*t + 10, -3*v + 2*t = -34. Let b(o) = 4*o + 31. Let r be -19 + 18 - (-13 - 2)/(-3). Calculate the least common multiple of v and b(r).
56
Let n(g) = -g**3 + 8*g**2 - 10*g + 15. Let h = -4 + 5. What is the common denominator of h + 202*(-2)/(-24) and n(6)?
6
Suppose 3*w - 30 = -3*q, w - 51 + 49 = 0. Calculate the smallest common multiple of q and 298.
1192
Suppose 0 = y - 2*f - 16, 102*f - 4 = 100*f. Let p be (-6)/27 + 3115/45. Let j = 103 - p. What is the lowest common multiple of y and j?
340
Let c(h) = -4*h**2 + 29*h. Let d be c(7). Suppose d*x - 3 = 4. Calculate the lowest common multiple of 10 and (1/(2/52))/x.
130
Let i be -2 + (98531320/832704)/17. Let g = i + -9/4337. Find the common denominator of g and 13/228.
456
Let h = -1075/27 - -343105/8613. Find the common denominator of -149/348 and h.
3828
Suppose -o + 2 + 2 = -5*v, 0 = -5*o + 5*v + 20. Suppose 0 = o*m - 9*m + 20. Suppose 7*q - m*q = 30. Calculate the lowest common multiple of 70 and q.
70
Let u = -32 + 35. Suppose -u*t = 5*g - 3083, 2*g + g - t - 1847 = 0. Suppose 5*r = -6*r + g. Calculate the least common multiple of 18 and r.
504
Suppose 5*r = 129 - 49. What is the smallest common multiple of r and 134?
1072
Let u = -128701/21 + 6131. Find the common denominator of u and (-220)/(-6)*(-1533)/(-304045).
357
Let j be -7 + (-337)/(-28) + -5. Let c = 38/35 - j. Calculate the common denominator of c and 95/176.
880
Suppose -14660 = 3*y - m - 75456, 4*y = -5*m + 81074. Calculate the least common multiple of y and 10.
101330
Let h be 9 + 4350 - (-8)/2. Let d = -34949/8 + h. What is the common denominator of d and 62/44 - 3/(-12)?
88
Suppose 0 = -3*b - 4*u + 3317, 6*u + 1322 = b + 187. Calculate the smallest common multiple of b and 1212.
13332
Suppose -2*p + 10*p = 2152. Let m = -178 + p. Let i = -85 + m. Calculate the lowest common multiple of 12 and i.
12
Let g(p) = 2*p**2 + 16*p + 5. Let s be g(-16). Suppose 2*k + 5*d = s, 735 = 5*k + d - 5*d. Calculate the common denominator of -143/18 and k/84 - (-2)/(-7).
36
Let n = 45 + -43. Let c be ((-206)/36 + n/9)*-12. Suppose -27*x + 29*x = c. Calculate the least common multiple of x and 6.
66
Let f = 27227/11258 - -2/433. Find the common denominator of 8/117 and f.
234
Suppose -61*u = -56*u + 119*u - 300700. Calculate the lowest common multiple of 679 and u.
16975
Calculate the common denominator of 91/5216 and (-10 + -7 + (-2840)/(-128))*-1.
5216
Suppose -39 = -3*z + 3*p, -p - 4*p + 16 = 4*z. Find the common denominator of 743/(-90) + z - 2/(-9) and -58/25.
150
Let a = 15745 - 12095. What is the lowest common multiple of 365 and a?
3650
Suppose -5 - 13 = -6*v. Let c(t) = 70*t + 6. Let z be c(v). Suppose 4*u + 4*k - z = 0, -20 = -5*u - 3*k + 242. What is the smallest common multiple of u and 12?
300
Suppose 141*d - 117*d = 384. Let t(r) = -r**3 + r**2 + r + 1. Let x be t(2). Calculate the least common multiple of d and (x/3)/(5/(-150)).
80
Calculate the common denominator of 8/15 and (0 - -1)*(-5)/25*-11.
15
Suppose -1608 + 8665 = 3*z + 4*w, -4*w + 4702 = 2*z. What is the lowest common multiple of 9 and z?
7065
Let i = -8 - -32. Let a = 114 - 96. What is the lowest common multiple of (-57)/(-4) + a/i and 18?
90
Suppose -2*i - 62 = -h, -22*i - 3*h = -17*i + 166. What is the common denominator of ((-561)/22)/(i/(-14) + -1) and ((-12)/(-15))/((-21)/(-25))?
42
Let y = 102 - 66. Suppose -24 + 64 + 176 = 27*z. What is the least common multiple of z and y?
72
Let b(d) = -16*d - 38. Calculate the least common multiple of 366 and b(-3).
1830
Let d = -24734 + 25448. Calculate the least common multiple of 476 and d.
1428
Suppose -12*w - 3*w + 210 = 0. Let x = w - -26. Calculate the least common multiple of x and 3.
120
Let y(m) = -m**3 - 5*m**2 + 6*m - 24. Let u(w) = 2*w**2 - 16*w + 17. Let r be u(6). What is the lowest common multiple of 56 and y(r)?
224
Let z = 803207 - 799994269/996. Calculate the common denominator of -46/123 and z.
40836
Let y = 11547/1034 - 386/47. Find the common denominator of y and 131/414.
4554
Let f = 224 - 224. What is the common denominator of 31/2 and (f - 26369/(-3836)) + -7?
548
Let s(p) = -6*p - 44. Let c be s(-6). Let v = -577/1606 + 3/73. Calculate the common denominator of v and 111/c*12/66.
44
Let f = -23659/415981 - -28/503. Find the common denominator of -7/3 and f.
2481
Suppose -2*o - 11 + 5 = 0. What is the common denominator of -17/133 and 7 + o + 1944/(-342)?
133
Suppose 8 = 7*d - 3*d. Suppose h = -302*a + 297*a - 2, -9*h - 168 = -5*a. What is the lowest common multiple of a and d?
6
Suppose -63 = -7*h + 469. Suppose 62 = 23*m - h. Calculate the least common multiple of 8 and m.
24
Suppose 36*b - 31*b + 500 = 30*b. What is the least common multiple of b and 2398?
23980
Suppose -2*c + 437 = -2*k + c, 3*c = -5*k - 1082. Let m = k - -238. Calculate the smallest common multiple of m and 27.
189
Let c(r) = 40*r**3 - 5*r**2 + 51*r - 92. What is the least common multiple of c(2) and 15?
930
Let w = 574919/154 + -7465/2. Let u = -9419/1386 + w. Calculate the common denominator of u and -131/54.
54
Let a = 164 - 152. Suppose 9*d - a*d = -45. What is the smallest common multiple of d and 35?
105
Suppose 0 = -r - 2*k - 7374, 4*r = r + k - 22157. Let p = r + 44171/6. What is the common denominator of p and 2 - 3/30*23?
30
Suppose -9 = 2*b - 0 + 7, 2*b = 9*h - 1960. Let q = -17 + 29. Calculate the least common multiple of q and h.
216
Suppose -4615 + 6415 = 25*x. Calculate the least common multiple of 2973 and x.
71352
Let h = -289 - -295. Calculate the smallest common multiple of 234 and h.
234
Let r be 3 - (-660)/25 - (-6)/(-15). What is the common denominator of 5/14 and 2 + 76/6 + r + -31?
42
What is the common denominator of (-6 + (-108)/(-16))*1/(36/(-1016)) and (2/69)/(8/570)?
138
Let y = 60217/40416 + -44/421. Calculate the common denominator of y and -91/736.
2208
Calculate the common denominator of ((-605)/231)/((-4)/14) and 76/69.
138
Suppose -14 = -3*j - 5. Suppose 3*r + 411 = -2*p + 7*p, r - 255 = -j*p. Let h(d) = 4*d + 4. What is the lowest common multiple of h(4) and p?
420
Suppose -4*r + 4*k + 8 = 0, -2*r + 2 + 26 = 4*k. Suppose r*n = -3*n + 99. What is the smallest common multiple of 71 and n?
781
Let t(q) = q**3 - 9*q**2 - 4*q + 21. Let h 