7
Suppose -12*f + 7*f = a - 108, 4*a - 3*f - 317 = 0. Let p = a - 89. Calculate the lowest common multiple of -3 + (500/(-30))/(4/p) and 12.
132
Let c = -4099/38844 + 5/52. Calculate the common denominator of -5/12 and c.
2988
Let s(h) be the first derivative of -9*h**2/2 + 82*h + 11. What is the least common multiple of 15 and s(8)?
30
Let f = 223/2 - 150. Suppose -9 = -2*p - 5. Find the common denominator of f and p/(-7) - (-318)/280.
20
Calculate the lowest common multiple of 3444 and -19 + (1455 - -19) - -21.
10332
Suppose 1 - 36 = -r. Suppose -3*z + r = 5*c - 4*z, -4*z - 8 = 2*c. What is the least common multiple of 54 and c?
54
Let x be -1*7/42 - (-206)/1332. Let r = x + -17569/6660. What is the common denominator of r and -89/10?
20
Let n be (-8)/6 + 2310/1071. Let j = n + 547/306. Calculate the common denominator of j and 17/33.
198
Let d(j) = -j**3 + 16*j**2 + 20*j - 28. Let z be d(17). Calculate the common denominator of 3 + (z/(-6))/(21/(-14)) and -31/99.
99
Let r = -187/8 - -37377/1600. Calculate the common denominator of -61/350 and r.
11200
Suppose 2*r = -i - 9, -5*i + 4*r + 15 = 2*r. Let c be 4*(i - (3 - 5)/(-4)). Calculate the lowest common multiple of 714/24 - (7/4 - c) and 18.
90
What is the smallest common multiple of 150 and (((-12195)/(-8))/(-15))/(-1) - (-15)/40?
2550
Let a(i) = -2*i**3 - 2*i**2 - i - 1. Let j be a(-2). Suppose -j*k = 14 + 13. Calculate the common denominator of -109/28 and 1*-3 + k + 210/16.
56
Let a = 104 - 20. Let f = 352938 + -352866. Calculate the smallest common multiple of f and a.
504
Let v = 3010 - 3007. What is the lowest common multiple of v and 378?
378
Suppose 0 = v + 1, 2*y + 6*v + 84 = 8*v. What is the common denominator of y/(-30) + (-5 - -9) + -6 and -17/63?
630
Let y(x) = 2*x**3 + 6*x**2 - 4. Let q be y(-5). Let w(o) = o**2 - 7*o + 1. Calculate the smallest common multiple of (-4)/(-26) - 816/q and w(8).
72
Let a = -2826 + 2898. Calculate the lowest common multiple of a and 18.
72
Suppose 0 = 5*h - 5*s - 1870, 5*h + s = 2*s + 1858. Suppose 0 = -11*f + 58 + h. Calculate the lowest common multiple of 52 and f.
156
Let b = 3/283531 - -32035475/333432456. What is the common denominator of b and -45/196?
1176
Suppose 0 = 4*x - 20*x - 16. What is the common denominator of 33/31 and (-1819)/(-476) + x/4?
217
Let g be (3118/(-31))/((-40)/50). Let v = g + 244/155. Let z = 2657/20 - v. Calculate the common denominator of 17/4 and z.
20
Let k be 52/4 + -3 - (5 - 3). Let l be 2/(1/1 - 4/k). Calculate the common denominator of -31/34 and 17/16 - l/(-2).
272
Suppose 4*l - 3*s = -5*s + 20, -4*s + 13 = -l. Suppose l*h - 110 = -8*h. Calculate the least common multiple of h and 110.
110
Let t = -1704333317 - -1022600282369/600. Let f = t + -3895/8. Find the common denominator of -13/8 and f.
600
Let u(f) = f**2 + 74*f + 2952. Calculate the least common multiple of u(-62) and 2484.
19872
Let d = -2912 + 4388. What is the least common multiple of 6 and d?
1476
Calculate the smallest common multiple of (-2)/(-8) - (-14665)/140 and 189.
945
Let y = -42841181813/171370440 - 5/8568522. Let b be (-8)/132 - (-166412)/(-660). Let z = b - y. What is the common denominator of -29/6 and z?
24
Suppose -d = 5*m - 4, -d - 28 = 4*d + m. Suppose 7*h - 11 = 66. What is the smallest common multiple of h and 206/6 + d/(-9)?
385
What is the common denominator of (-1)/(-2)*363/(-44)*(-14)/(-287) and -25/124?
5084
Calculate the common denominator of ((-1)/(-6))/((-66)/18) and -103/1656.
18216
Let o = 65/106 + -3397/5194. What is the common denominator of o and 73/112*8/(-4)?
392
Let g be 66/10 + 5 + 6/(-10). Suppose -41 = -q - 4*z, -q - z = -g - 18. What is the smallest common multiple of q and 25?
25
Suppose -3*u = -5*s + 7, -2*s = 5*u - 49 + 9. Let d = 118 + -68. Calculate the least common multiple of u and d.
150
Let x(r) = -r**3 - 8*r**2 + 11*r + 19. Let h be x(-9). Let l be (-6 + h)/((-10)/12). What is the least common multiple of 6 and (-9)/6*(-100)/45*l?
60
Suppose -1579 - 113 = -9*u. Calculate the smallest common multiple of u and (-20)/35*7/(-2).
188
Suppose -27 - 25 = 2*k. Let m = 32 + k. Suppose -2*u = -4*o + 60, -3*u - 30 = -4*o + 32. Calculate the least common multiple of m and o.
42
Suppose 4*k - 123 = k - h, -5*k + h = -197. Find the common denominator of -7/72 and (-82)/k - (-7)/252*-12.
360
Let k = 33300 + -33228. Suppose -5*j + 2*f + 62 = -3*j, -5*j + f + 151 = 0. What is the lowest common multiple of k and j?
360
Find the common denominator of 110/(-77)*(7315/3540)/(-11) and -67/14.
2478
Let b = 17 - 53. Find the common denominator of b and 17/68*8/130.
65
Suppose 316 = l - 5*a, -3*a = 53*l - 55*l + 632. What is the lowest common multiple of 11 and l?
3476
Let n = -219 + 14892. What is the smallest common multiple of 4 and n?
58692
Let q(j) = 174*j - 3316. What is the lowest common multiple of 906 and q(26)?
3624
Let m(k) be the second derivative of k**5/20 - 19*k**4/12 + 5*k**3/2 + 35*k**2 + 6*k - 3. Calculate the lowest common multiple of 10 and m(18).
80
Let n = -12267 - -12651. What is the lowest common multiple of n and 164?
15744
What is the common denominator of -21/103 and (-46)/(-206) + 4/(-140)*5?
721
Let o(n) = n**2 - 9*n + 1. Let i(a) = -a + 1. Let f(c) = 4*i(c) + 2*o(c). Let z be 12/(-1 + -2 + 1 + 3). Calculate the lowest common multiple of f(z) and 4.
60
Let b = 8798 - 351877/40. What is the common denominator of b and -87/62?
1240
Let f = -31 + 35. Suppose -2*u = 4, 2*u = -4*z - 0*u. What is the common denominator of 23/10 and (f/32)/(z/98*-2)?
40
Let p be (-699717)/(-228)*-2 - -4. Let w = p + 6133. Calculate the common denominator of -47/2 and w.
38
Calculate the common denominator of (-4)/(-42) + 0 + (-13095)/140805 and 89/8.
3576
Let m = -33 - -38. Suppose -4*z + 91 = -5*i, -4*i + 44 = z - m. Suppose -26 = -5*v + z. Calculate the least common multiple of 9 and v.
99
Let s = -175 + 212. Suppose -s*a = -35*a + 4*m - 32, -3*m - 57 = -3*a. What is the least common multiple of 26 and a?
234
Suppose 33*k - 688 = 929 + 99. What is the least common multiple of 2656 and k?
34528
Find the common denominator of (7 - 1) + (542/(-40))/((-693)/(-396)) and 514/24 - (-1)/3.
140
Let l(x) = x**3 - x**2 - 4*x + 23. Let w be l(0). Let b(k) = 2*k**2 - 41*k - 31. What is the least common multiple of b(w) and 30?
420
Suppose 4 = d + 9. Let c(u) = 2*u**2 + 4*u + 4. Let o(a) = -5*a**2 - 8*a - 8. Let i(n) = d*c(n) - 3*o(n). What is the smallest common multiple of i(-2) and 16?
16
Let m be 14 + (-48)/6 + 4. Suppose -9*j - 60 = -3*j. Let q = m - j. What is the least common multiple of 6 and q?
60
Let u = -55857 - -4021619/72. Let s = 118480 - 12795961/108. What is the common denominator of s and u?
216
Suppose 4401 = -20*u + 4681. Calculate the least common multiple of u and 1036.
1036
Suppose 0 = 2*m + a - 12, 138*m - 2*a - 26 = 137*m. What is the least common multiple of m and 26640?
26640
Suppose 0 = 9*w + 12 - 3. What is the common denominator of 2/11 + (-466)/(-99) and 3328/480*w/2?
45
Suppose -3*c + 10033 = 8*d - 4*d, -3*c + 10045 = -2*d. What is the lowest common multiple of 7 and c?
23429
Let f = 2106708 - 7596788977/3606. Find the common denominator of f and 25/12.
7212
Let l = 2222 + -4545/2. Let c be (-4413)/4*(-2)/(-177). Let x = c - -108/295. Calculate the common denominator of x and l.
10
Let p be (2/(-5))/(59208/20). Let b = p - 180083/59208. Let f = -3/19519 - -2791307/585570. Calculate the common denominator of f and b.
120
Suppose -8 = -8*d + 8. Let h be ((-48)/60)/((-2)/20). Suppose -d*z = -20 + h. Calculate the smallest common multiple of 9 and z.
18
Suppose 3*b - 18 = -3*s, 2*s = -4*b + 6*b. Let p = 675 - 673. What is the smallest common multiple of (44/3)/(2/s) and p?
22
Find the common denominator of -53/1620 and (-251)/20080*692/3*(-1)/(-2).
3240
What is the least common multiple of (-2527 - 17)/(-3) - (3*-1 - -2) and 4?
3396
Find the common denominator of (-1 - ((-9909)/(-900) - 11))/((-178)/5) and 91/12.
10680
Let k = -34 + 65. Suppose -13*y - 186 = 438. What is the least common multiple of k and y - -57 - (0 - -4)?
155
Let j = 76 - 61. What is the least common multiple of j and ((-7)/(-5))/((-4)/5 - -1)?
105
Let u = -19361 + 10122. Let d = u + 258757/28. Let j = 262279/41630 - 1/4163. Ca