What is the lowest common multiple of f(21) and 27?
864
Suppose -f - 3*f - 12 = 0. Find the common denominator of f + 68/24 - 41/150 and (-1)/(-3)*984/32.
100
Let a be (-76)/(3 - 4)*(-4 + 6). What is the smallest common multiple of 66/(-44)*a/(-6) and 16?
304
Suppose -2*r = d - 74, -2*r + 2*d + 2*d = -64. Suppose -3*k + 2*j = r, 0*k + 4*j = -k - 12. What is the common denominator of 442/180 + k/(-20) and -75/14?
126
Let a(h) = -h**3 - 16*h**2 - h - 15. Let l be a(-11). What is the common denominator of l/35*5/(-62) and (2/40*5)/(8/696)*2?
62
Let p be (6/(-117))/(8/2941690). Let k = p + 18856. Calculate the common denominator of -44/15 and k.
390
Let c(u) = u**3 - 1454*u**2 + 4364*u. Let i(w) = -2*w**3 - 1. What is the smallest common multiple of c(3) and i(-2)?
165
Suppose 0 = -11*y + 72*y - 1836 + 494. Calculate the least common multiple of y and 7408.
81488
Let g = -1574/55575 - -8/171. Let h = 13217/5850 + g. Let f = 12979 - 428273/33. What is the common denominator of f and h?
198
Find the common denominator of (-645)/(-86) - (9 - 2) and 1/184.
184
Let u = 20521/6 - 564128/165. Find the common denominator of u and 83/760.
8360
Calculate the least common multiple of 90 and (45 - 144)*2/(-3).
990
Let a(s) = s**3 - 16*s**2 + 12*s - 461. What is the lowest common multiple of 76 and a(17)?
608
What is the smallest common multiple of 3/12*5578 + (-91)/(-182) and 1705?
15345
Find the common denominator of -53/12 and 231/(-132) + (-14186)/(-8424).
4212
Let c(x) be the third derivative of x**5/60 - 7*x**4/12 - 7*x**3/6 + 85*x**2. What is the least common multiple of 16 and c(17)?
176
Suppose 0 = 4*v - 16, -5*v = -2*k - 3*v - 8. Suppose k = 4*z, z + 4 + 4 = 2*u. What is the common denominator of -1 - 3 - 13/u and 35/3?
12
Let i = -1/19111 - -2771113/343998. What is the common denominator of 23/6156 and i?
6156
Find the common denominator of (-3738)/(-28)*11/(-1353) and 53/18.
738
Let d(m) = -13*m + 11. What is the least common multiple of (14 + -44)*(-8)/20 and d(-13)?
180
Let i = -20029 - -20087. Calculate the lowest common multiple of i and 4.
116
Let u = 17407/4 + -4381. Let o = -2507/95 - 21/190. Let h = o - u. What is the common denominator of 27/8 and h?
8
Suppose 4*h = 21 + 11. Let c = 1163 - 1045. Let t = 138 - c. What is the lowest common multiple of t and h?
40
Let k be (-15)/(-2)*(-6)/(-9). Suppose 10 + 0 = k*q. Let t(v) = -v**3 + v**2 + 21*v + 38. What is the least common multiple of q and t(-3)?
22
Let t(z) be the third derivative of z**4/8 - 2*z**3/3 - 32*z**2. Let n(v) = -2*v + 19. Let q be n(7). What is the smallest common multiple of 8 and t(q)?
88
Suppose 3*j - 4*f = 13, -1 = -f - 2. Suppose -j*h + 3*q = -4*h - 1, 6 = -2*q. What is the smallest common multiple of 7 and h?
56
Let n = -309102710/2377 + 130039. What is the common denominator of n and 111/10?
23770
Calculate the least common multiple of 412 + 185 + -11 + 0 and 5.
2930
Let x = 6831 - 6244. Calculate the lowest common multiple of 2 and x.
1174
Suppose -3*q = 2*u + 3 - 7, 7 = 3*u + 4*q. Find the common denominator of 93/16 and 0 + u - (-7 - 153/(-36)).
16
Suppose -3*a - 256 = -2*m, 5*m - 11*a - 687 = -33. What is the lowest common multiple of m and 1159?
2318
Let r = 58334755/1603 + -36391. Calculate the common denominator of r and 111/10.
16030
Suppose -18 = 3*x, -o - x = -2194 - 1494. What is the smallest common multiple of 18 and o?
33246
Suppose 4*l = -5*q - 21142 - 33551, 5*q = 4*l - 54677. Let t = q + 175087/16. What is the common denominator of t and -95/44?
176
Suppose 3*u - 5*f = 5065, 5*u + 39*f = 42*f + 8415. What is the lowest common multiple of u and 24?
1680
Suppose -3*x = -8*x - 3*j + 2148, 1736 = 4*x - 2*j. Suppose -h = 2*h + x. What is the common denominator of 149/27 - (-32)/h - 4 and 133/12?
108
Suppose 34*l - 975 = 7185. Suppose 115*x = 105*x + l. Let z = 34 + -19. What is the lowest common multiple of z and x?
120
Suppose -3*v + 12 = 4*n, -27 = 2*n - 33. Suppose -5*t - 10 = v, -i - 20 = -5*i + 4*t. Suppose -2*l - l = -27. What is the lowest common multiple of l and i?
9
Let v = -12755 - -4591799/360. Find the common denominator of v and -17/60.
360
Let y be 93/45*(-17435)/22. Let x = y - -1632. Calculate the common denominator of x and 143/84.
84
Let y = 65494/23 - 2848. Let g = y + -1573/138. What is the common denominator of (44/(-16))/((-5)/(-8)) and g?
30
Calculate the lowest common multiple of 518/(-105)*6*(-220)/8 and 9.
7326
Let b(f) = 75*f**2 - 5*f + 5. Calculate the lowest common multiple of b(1) and 5*12/(-30)*-6.
300
Let v = 103 - 67. Suppose 46*d - 50*d + 144 = 0. What is the smallest common multiple of v and d?
36
Let o = 254 - 82. Let f = o + -145. What is the common denominator of f and 10/17?
17
Let r(z) = 3*z**2 + 20*z. Let u be r(-6). Let y(f) = 2*f + 22. Let v be y(u). Calculate the common denominator of -13/11 and 201/18 + v/1.
66
Suppose 0 = -128*s - 488 + 5467 + 653. What is the smallest common multiple of (40/(-6))/((-2)/18) and s?
660
Let x(k) = -57*k + 63. Let m be (-2)/4 + (-3)/(-6). Suppose 0 = -m*h + h - 8. What is the least common multiple of h and x(1)?
24
Suppose 2*t - 3171 = -3*x + 7*t, 4*x - 4254 = -2*t. What is the least common multiple of 944 and x?
8496
What is the common denominator of 451/(-35) + (-2)/(-7) and (-4)/26 - (-15005)/780 - (-64)/(-256)?
30
Let u = 455/928 + -33083/153120. Calculate the common denominator of 103/70 and u.
4620
Find the common denominator of 51/4 and (-114)/(-3249)*369/3516.
22268
Suppose -z + 5 = 100*i - 104*i, 2*i = 3*z - 85. Suppose -8*w + 385 = -3*w. Calculate the lowest common multiple of z and w.
231
Let t(v) = -8*v - 65. Let i be t(-8). Calculate the common denominator of 43/12 and i/3*(-570)/(-28).
84
Let j be 4*1/(-4) - (0 - 1). Suppose q + 0*a + 5*a - 26 = j, 2*a = -3*q + 130. What is the smallest common multiple of q and 1?
46
Let f = -1068 - -1076. What is the lowest common multiple of f and 64?
64
Calculate the common denominator of (210/8)/(-3 - 51) and -47/70.
2520
Let t be (-249 + -3)/(10/(-20)). Suppose 21*o - 42*o = -t. Suppose 4*m - 48 = m. Calculate the lowest common multiple of m and o.
48
Let q = 11 - -3. Suppose -30 = -q*f + 4*f. Calculate the smallest common multiple of 28 and f.
84
Calculate the lowest common multiple of (-42)/(-4)*(4 - 2) and (-183 + 173)*(-3)/10*(8 + 1).
189
Let m = 14831 - 207731/14. What is the common denominator of 111/2810 and m?
19670
Suppose 0 = -10*l - 10979 - 5611. Let s = -49813/30 - l. Find the common denominator of s and 62/(-3)*(-2)/(-12).
90
Let q = 5089/986 + -145/34. Calculate the common denominator of q and (-136)/180 - 3/(-15).
261
Suppose -2*f - 721 + 3353 = 4*l, 0 = -3*l - 5*f + 1960. What is the smallest common multiple of 40 and l?
1320
Suppose -5*g + 6*g = 6. Suppose 950 = -g*i + 27668. Let o = 35721/8 - i. What is the common denominator of 35/36 and o?
72
Suppose 1245*n = 1261*n - 10933 + 2741. Calculate the least common multiple of 24 and n.
1536
Suppose 4*h - 3*u - 592 = 0, -3*h - 26*u + 386 = -21*u. What is the lowest common multiple of 1278 and h?
1278
Let c(a) = -a**3 + 7*a**3 - a**3 + 5*a**2 + 2*a + 2 - 6*a**3. Let m be c(5). Suppose -5*x + 18 = -m. Calculate the lowest common multiple of 2 and x.
6
Suppose -4*r + 3*o = -108, 0 = -3*r - 3*o + 83 - 23. Suppose 558*j - 559*j = -24. What is the smallest common multiple of r and j?
24
Suppose -2*l + 2*b + 1 = -5, -30 = 5*l + 4*b. Let c be (l + -2 - -7) + -7. What is the common denominator of 9/20 and 2 - 4 - ((-173)/32 - c)?
160
Let i = -580 - -568. Let z(t) = t**2 + t - 81. What is the least common multiple of 30 and z(i)?
510
Let g be 6/(-21) + 60/14. Let j(z) = -129*z**2 + z + 1. Let k be j(g). Let m = k - -37073/18. Calculate the common denominator of m and 21/16.
144
Suppose 0 = -5*j + 62018345 + 59352430. Let f = -436821887/18 + j. Let o = f - 6275. Calculate the common denominator of o and 77/4.
36
Suppose 1 = 3*w - 8. Let j = -2093523/20 - -104674. What is the common denominator of j and (2/3)/(4/w)?
20
Let k = 726659/17526500409 - 1/337353. Let a = k + 32574505/675389. Let q = -4529/78 + a. Calculate the common denominator of -6/7 and q.
42
Let w(s) = 2*s - 21. Let m be w(10). Calculate the common denominator of 41/16 and 4 - m*((-747)/(-12))/3.
16
Suppose