0
Let i(j) = -366974*j + 7. Let u be i(1). Let w = -88071941/240 - u. Find the common denominator of -3/20 and w.
240
Let a(f) = 12*f - 75. Let w(g) = -8*g + 14. Calculate the smallest common multiple of a(10) and w(-2).
90
Let z = 826 - 1569/2. What is the common denominator of (-165)/(-18) - 2/6 and z?
6
Let k = -3003/74 - -79/2. Let q = 3299/74 + k. What is the common denominator of 1 - (122/15 - 1) and q?
30
Let r be -1 - 3/6 - (-378)/4. Suppose r = 3*w - 3*q, -24*q - 64 = -2*w - 20*q. What is the smallest common multiple of w and 55?
330
Let y = -66/595 + -62/35. What is the common denominator of 31/68 and y?
68
Let k(r) = -3*r**2 - 18*r - 39. Let t be k(-2). Let v(c) = -c**3 - 14*c**2 + 13*c - 25. What is the smallest common multiple of 5 and v(t)?
5
Let l(q) = -17*q + 3. Let k be l(-5). Let r be (-1 - (-15)/3) + (138 - -1). Suppose -r = -7*g + k. Calculate the smallest common multiple of g and 27.
297
Let q = -812031/38570 + 3057/145. Find the common denominator of -9/532 and q.
2660
Let i be (-1)/(3*(-6)/(-3276)). Let g = -176 - i. Calculate the smallest common multiple of g and 2.
6
Let n = 152 - 128. Suppose 47*l = 51*l - 264. What is the smallest common multiple of l and n?
264
Calculate the common denominator of ((-2)/1008)/((-385)/(-52052)) and 41/70.
630
Let d = 331/7 - 279/7. What is the common denominator of -3/1925 and d?
1925
Let d = 3581/12 - 1123/4. Find the common denominator of -37*1032/4773 + 10/(-96)*-79 and d.
48
Let c be ((-1)/(102/28))/((-438)/(-369)). Let z = 4/73 + c. Calculate the common denominator of 41/6 and z.
102
Let o = 58/475 - 99144/804175. Let q = 201479/10158 + o. What is the common denominator of 103/6 and q?
6
Let m = 89201649/22 - 4032914. Let n = -21710 + m. Calculate the common denominator of n and ((-4)/18)/(8/42).
66
Suppose 1632 = g + 19*g - 2988. Calculate the smallest common multiple of 126 and g.
1386
Let b(h) = -4*h - 2. Suppose 2*u = 5*k - u - 178, -4*k + 3*u = -143. Let d = k + -27. Calculate the lowest common multiple of d and b(-2).
24
Suppose -u + 104 = 92. Let n = -50 + 76. Let x = -14 + n. Calculate the least common multiple of u and x.
12
Suppose 0 = 2*t - 1 - 11. Suppose 4*r + 4*u - 164 = 0, r - 2*u = t*r - 217. What is the lowest common multiple of 58 and 18/10 + 9/r?
58
Let f be ((60/15)/(2 - 0))/1. Suppose 0 = 5*d - 15, -f*m = -4*d + 2*d + 2. Let h = 25 + -18. Calculate the smallest common multiple of m and h.
14
Let g(h) = h**2 - 12*h - 63. Let w(u) = -2*u**2 + 11*u + 1. Let j be w(8). Let d = -19 - j. Calculate the smallest common multiple of g(-5) and d.
220
Let y = 14767 + -8195. Suppose n + 8857 = -3*z, -n - y - 2293 = -z. Let o = -248271/28 - n. What is the common denominator of 89/12 and o?
84
Suppose f = 6*f + 4*g + 1, 0 = -2*f + 5*g + 26. Let q be 43/(f*((-2)/6 - 0)). Let z = -29 - q. What is the lowest common multiple of z and 10?
70
Let v(q) be the first derivative of 4*q**2 + 96*q + 56. Calculate the lowest common multiple of 12 and v(-9).
24
Let a(l) = -l**3 + l**2 - l + 4. Suppose -4*d - 2*j + 154 = 0, 2*j + 172 - 368 = -5*d. What is the smallest common multiple of a(0) and d?
84
Let d = 1935 + 689. What is the least common multiple of d and 2?
2624
Let l = -2509473913/4858217 + 1802307/3794. Let b = l - -2/2561. What is the common denominator of 2/(-15) + 847/(-420)*1 and b?
20
Let s = 122671/12254675 - 6/16903. Calculate the common denominator of 83/1160 and s.
5800
Suppose -19*t + 62 + 14 = 0. Let b(d) = -10 + 2 + 4*d + 6. What is the lowest common multiple of b(1) and t?
4
Suppose 0 = l - 4*f - 578, -2*l = -4*f - 884 - 268. Let j = l - 494. What is the least common multiple of j and 150?
1200
What is the lowest common multiple of 240 and (-9582)/(-30) - (189/(-45))/7?
960
Let z = 28748 + -48957858/1703. Calculate the common denominator of -79/8 and z.
13624
Let a = -228 - -231. Suppose 0 = o + 3*q - 1, -8 + a = 5*q. Calculate the least common multiple of o and 76.
76
Let i = 31 - 77. Let v = i - -141. Let l = -89 + v. What is the smallest common multiple of l and 4?
12
Let q(o) = o**3 + 5*o**2 - 28*o + 12. Let s be q(10). Suppose -s = -13*t + 2*t. Calculate the lowest common multiple of 16 and t.
112
Let i(g) = -5*g**2 - 112*g + 7. Let a be i(-19). Let b = 24793/6 + -4118. What is the common denominator of 314/a + ((-680)/(-150))/(-34) and b?
66
Let a = 2757 + -2753. Calculate the lowest common multiple of a and 176.
176
Let x(w) = w + 14. Let v be x(-9). Suppose -v*m + u = -380, -5*m + 3*u - 5*u = -395. Find the common denominator of -91/4 and 3/(3 - m/13).
76
Let z = 1730 - -1750. What is the smallest common multiple of 522 and z?
10440
Suppose 0 = 300*x - 302*x - 2*i + 318, -3*i - 9 = 0. What is the smallest common multiple of 324 and x?
324
Let n = 2/41255 - 1114153/5528170. Let i = n + 2272/469. Find the common denominator of i and (-2)/(-6)*(-26)/6.
126
What is the common denominator of -65/44 and (-783)/168 + (-18)/(-63) + 2?
88
Let k be 0 - (7 - -33)/(-5). Suppose -4256 = -k*i - 30*i. Calculate the least common multiple of i and 40.
560
Let n = 1086 + -3332/3. Calculate the common denominator of (663/374)/39*34/(-3) and n.
33
Let h be (1 + -4)*(-1 - -3). Suppose -2*x + 109 - 17 = -4*s, -s + x - 21 = 0. Calculate the lowest common multiple of 15 and (-465)/s - h/(-10).
90
Let h = -2/97535 - -1172534/103094495. Find the common denominator of -101/56 and h.
8456
Let v(h) = -h**2 + 2*h + 1. Let s be v(2). What is the least common multiple of ((-1)/(-1))/(s/21) and (-20 - 22 - 12)*(-2)/6?
126
Let a be -4 + (9 - 5) + -54. Find the common denominator of 33/68 and (-1589)/(-630) - (-12)/a.
340
What is the least common multiple of -15*53/3*-3 and 5?
795
Let j = -54 - -68. Suppose 4*s = j*s - 40. Suppose -5*b + b + 108 = s*a, -3*a = b - 75. What is the lowest common multiple of a and 10?
120
Let k(z) = z**3 + 43*z**2 - z - 19. What is the least common multiple of k(-43) and 24?
24
Suppose 1578 + 1302 = 6*a + 54*a. Calculate the lowest common multiple of 204 and a.
816
Suppose 42 = 93*p + 52*p - 828. Calculate the least common multiple of p and 40.
120
Let b = 6 + 6. Calculate the common denominator of 45/16 - (b/(-3) - -1) and (2 + 364/(-80))*(-2)/(-6).
80
Let v = 542 + -553. Calculate the common denominator of 29/7 and 9/(-594)*1264 - (-2)/v.
21
Suppose 252 = -17*u + 13*u. Find the common denominator of (-1143)/462 - 6/u and -53/20.
660
Suppose -2 = 24*r + 22. Calculate the common denominator of (29/(-30))/((-2)/3) and ((-174)/(-108) + 1)/(r + 2).
180
Let i(l) = l**2 + l - 1. Let b be i(-3). Suppose 1 = -b*w - 9, -142 = y - w. Calculate the common denominator of (-1786)/y + (-2)/(-9) and -61/14.
56
Suppose 2*i + 10 = 2*v + 14, -2*i + 16 = 4*v. Calculate the common denominator of i*3/10*31605/(-27692) and 23/12.
276
Let t be (-54)/(((-8)/(-10))/((-24)/60)). Suppose -4*v = -12, t*v - 24*v + 19 = 4*c. What is the smallest common multiple of 2*5 + 4/2 and c?
84
Let i = 577 + -241. Calculate the lowest common multiple of 420 and i.
1680
Let u = 119 + -116. Calculate the lowest common multiple of u + 1 - 56/(-4) and 4.
36
Suppose 5*g = 31*g - 1040. Find the common denominator of 41/4 and 110/275 - 117/g.
40
Let j be 5 - 5 - (-1378)/(-40). Let i = j + 66/5. Let s = 2181/8 + -272. What is the common denominator of i and s?
8
Let j be 207/24 + -2*9/(-48). Let q be 61/(-4) + 5/20. Calculate the lowest common multiple of (1 + -4)*q/j and 1.
5
Let b = 255 + -243. What is the common denominator of 68/b + (-90)/(-9) and 1 + 1 - 123/46?
138
Let m = -146 + 314. Suppose -3*k - m - 174 = 0. Find the common denominator of -31/38 and (-63)/(-54)*(2 + k/(-14)).
114
Let x(j) = j**3 + 22*j**2 - 3*j + 37. Let t be x(-23). Calculate the common denominator of (-2)/4*t/117 and -1/2.
26
Let m = 113002203/770 + -146756. Calculate the common denominator of m and 99/40.
3080
Let p = -4748585837 + 55330522212499/11652. Let b = -3/971 - p. Let m = 566157/22 + -25733. What is the common denominator of b and m?
132
What is the lowest common multiple of 765/1*3/((-27)/(-6)) and 66?
5610
Let p = -779451 + 436492687/560. Calculate the common denominator of -23/55 and p.
6160
Let d(r) be the third derivative of -r**5/60 + r**3/3 - 7*r**2. Let g be d(0). Suppose g*b - 32 = -0*b. Calculate the least