 and i.
462
Let l = -1763 + 19409/11. Find the common denominator of 166/3*(4 + 39/(-12)) and l.
22
Let u = -181690 - -68860440/379. Let h = u + -27503/9096. What is the common denominator of 17/8 and h?
24
Suppose -5*g = 20, -w + 8*g = 9*g - 10. Suppose 0*b - b + 40 = -4*r, r + 87 = 3*b. What is the least common multiple of w and b?
28
Suppose 0 = -3*l + 4*i - i - 153, 0 = 5*l - 4*i + 255. Let j = -45 - l. What is the lowest common multiple of 9 and j?
18
Let k = 27 + -31. Let t be k/(-22) + 260/143. Calculate the lowest common multiple of t + (-4 - (-3 + -3)) and 54.
108
Let y(h) = -31 + 14 + 12*h + 14 + 5*h. What is the least common multiple of 22 and y(1)?
154
Find the common denominator of (-11 - (-189)/15) + (-4 - 1) and (-239)/42 + 4/(-6).
70
Let h be 3/2 + 3*6694/(-13380). Let d = h - -45748/36795. Calculate the common denominator of -77/18 and d.
198
Let y(p) be the third derivative of p**4/4 - p**3 + 5*p**2. Let w be y(5). Find the common denominator of (-592)/w*6/40 and -73/10.
10
Let x(f) = -10*f + 84. What is the lowest common multiple of 2 and x(3)?
54
Find the common denominator of -1 + (-8905)/(-26)*1/(-15) and -11.
6
Let y(r) = 6*r + 10*r - 2*r + 0*r - 76. Calculate the least common multiple of y(6) and 30.
120
Let h = 1335 - 1311. What is the smallest common multiple of 68 and h?
408
Let p(i) = -419*i + 3. Let w be p(-4). Let v = w + -10013/6. Calculate the common denominator of ((-2825)/125)/(((-12)/5)/(-2)) and v.
6
Let q = 6 + -3. Let a(m) be the second derivative of m**4/3 - 2*m**3/3 - m. What is the smallest common multiple of a(q) and 12?
24
Let o = -233/13 + 13219/702. What is the common denominator of o and -41/24?
216
Suppose 3*x + 5*x = 135072. Let b = 236471/14 - x. What is the common denominator of 45/32 and b?
224
Let z = 7775/6 + -1301. Let h(d) = -d + 8. Let v be h(5). Find the common denominator of z and (-234)/20 - (v - 3).
30
Let p(g) = 4*g**2 + 2*g - 24. Let q be p(4). What is the common denominator of 294/135 + q/(-20) + 3 and 43/30?
90
Suppose -3*y + y = -4*h + 134, -2*h - 5*y = -49. What is the least common multiple of h and 164?
1312
Let t = -354089/20 + 17710. Let l be (-2 - (-5783)/452) + -1. Let s = 5/113 - l. Calculate the common denominator of t and s.
20
Suppose -84 = -2*t - l, -2*t + 104 = -3*l - l. Let n = -36 + t. Calculate the least common multiple of 28 and n.
56
Suppose 0 = 18*a - 246 + 84. Calculate the least common multiple of 93 and a.
279
Suppose 2*k - 6 = -2*u, 3*u + k + 2 = 7. Let z be u/((-4)/36*-3). Suppose z*t - 2 = 7. What is the lowest common multiple of 6 and t?
6
Calculate the common denominator of 9/56 + (-78)/273 and 29/(-5) - 1/4.
40
Suppose 26 = -6*m + 338. What is the lowest common multiple of m and 18?
468
Suppose n = 2*n - 53. Let t = n - 24. Calculate the least common multiple of t and 9.
261
Let f = -232 + 226. Find the common denominator of ((-4)/(-3))/(22/(-12)) and 6/(-39) + 131/91 + f.
77
Let f be -1*-1*58/(-1). Let r = f - -64. What is the lowest common multiple of r and 3?
6
Suppose 44 + 28 = 4*p + 2*w, 2*w = -3*p + 56. Let a(y) = y + 8. Suppose -n - 5*m = 5, m + 3 = 2. What is the least common multiple of a(n) and p?
16
Suppose 39 = -i + 4*i. What is the smallest common multiple of (8 - -1)*(0 - -1) and i + (-1 - 2) + 0?
90
What is the common denominator of 159*10/(-1304) - 15/(-12) and 35/9?
1467
Let v = 23647 - 851359/36. What is the common denominator of 131/144 and v?
144
Calculate the lowest common multiple of (2250/(-40))/(6/(-24)) and 33.
2475
Suppose -3*f + 7*f - 25919742 = 2*a, 2*f - 12959866 = -4*a. Let l = 64741063/10 - f. Let r = l - -5822. Calculate the common denominator of r and -73/8.
40
Let r(c) = -3*c - 21. Let k be r(-11). Let g = k - 7. Let t(y) = y**3 - 9*y**2 + 3*y - 13. What is the least common multiple of t(9) and g?
70
Suppose 3*d = -5*v + 61, -5*d + 3*d + 26 = 2*v. Calculate the lowest common multiple of 18/15 - 2/10 and v.
11
Let t = -816 - -1450. What is the lowest common multiple of t and 8?
2536
Let c be -3*(-4 + 2 + 1). What is the common denominator of (74/(-4) + c)/29 and -69/20?
580
Calculate the common denominator of 1883/210 - 5*(-3)/(-3) and -137/48.
240
Let r = -6379 - -76597/12. Find the common denominator of r and 89/324.
324
Suppose 5*r - 31 = 4*k, 2*r + 12 = -4*k + 30. Suppose -5*p + 81 = -3*n - 15, 88 = 5*p + n. Let i = 31 - p. Calculate the least common multiple of r and i.
91
Let n(d) = d - 9. Let u be n(6). Let o = 4 + u. What is the common denominator of 16/9 and 539/(-88) + o + 0?
72
What is the common denominator of 99/32 and 275/(-30)*115/150 + 8?
288
Suppose -6*y = 3*y - 135. Let m(c) = 3*c**3 - 2*c**2 + 4*c - 3. Calculate the least common multiple of m(2) and y.
105
Suppose 3*g + 76 = 5*g. Suppose -3*t = -g + 8. Let v = t - 4. What is the lowest common multiple of v and 2?
6
Suppose 8*l = 7*l + 3, 3*z = -2*l + 237. What is the lowest common multiple of z and 11?
77
Suppose 6*w = 2*w + 12. Suppose -29 = -s - 4*s + k, -w*k = s + 7. Suppose 12 = 2*n + c, -s*c - 7 + 27 = 2*n. Calculate the smallest common multiple of n and 3.
15
Let x = -25754/33 - -779. What is the common denominator of 19/18 and x?
198
Suppose 679 = -11*d + 833. What is the least common multiple of 56 and d?
56
Suppose 6*n + 154 = 592. Let p = -61 + n. What is the smallest common multiple of p and 30?
60
Let m = 24 + -16. What is the lowest common multiple of 308/m + (-6)/(-4) + 4 and 32?
352
Let c(b) = 16*b + 5. What is the lowest common multiple of 27 and c(1)?
189
Let l be 2 - (3 + 3 + -3). Find the common denominator of (-1)/(-7) - 247/798 and l/(-10)*(-2 - 41).
30
Find the common denominator of (17/(-9))/(6/(-3)) and ((-30)/4)/((-270)/130).
18
Suppose 0 = -4*q + 27 - 19. What is the common denominator of -89/32 and (35/(-63))/(q/15)?
96
Let u = -12 - -2. Let x = u - -42. Calculate the least common multiple of 14 and x.
224
Let m = 137463/1610 + -1947/23. Find the common denominator of m and -107/14.
70
Let i be 5/(-125)*-5*5. Suppose -n = -3*n + 36. Calculate the smallest common multiple of n and (-1 + 41)/(i - -1).
180
Let d(h) = h**3 - 4*h**2 + 6. Let g be d(3). Calculate the lowest common multiple of g + 4 - 4*(-1)/2 and 2.
6
Suppose x + 276 = 4*c, -2*x - c - 776 = x. What is the common denominator of x/6*6/(-25) and 61/6?
30
Suppose -2*j = -7*g + 6*g - 67, -116 = -4*j - 4*g. What is the least common multiple of 140 and j?
1120
Let t = 39142/27 + -1449. Find the common denominator of t and 127/576.
1728
Let f = 11329/8 - 1409. Calculate the common denominator of f and -43.
8
Let h = -10 + 12. Suppose 2*o = -h*o + 4. Calculate the lowest common multiple of ((-14)/6)/((-1)/3) and o.
7
Let k = -12 - -12. Suppose c - 6 + 4 = k. What is the lowest common multiple of c and 144/64*(-16)/(-6)?
6
Let k(o) = -32*o**2 + 10 + 116*o**2 + 3*o - 3 + 126*o**2. Let r be k(4). Let v = 13595/4 - r. What is the common denominator of -11/19 and v?
76
Let d = 9 + -3. Let j(h) = -h**2 + 6*h + 4. Let w be j(d). Suppose y - 18 - 6 = 4*a, -w*a = -5*y + 40. Calculate the lowest common multiple of 6 and y.
12
Let l = 78649 - 57099215/726. Calculate the common denominator of 21/8 and l.
2904
Let z = -5 + 16. Let p be (-4)/3*45/(-6). Let a = -5 + p. What is the least common multiple of a and z?
55
Suppose -4*g = 1004 + 324. Calculate the common denominator of 12/5 and 3 - (4 - g/(-84)).
105
Let k = -655/4158 - -4/189. What is the common denominator of k and 18/4*(-35)/(-210)?
44
Let u = 58 - 14. Let q(n) = -n**2 - 5*n + 1. Let m be q(-4). Suppose -5*l - m*c = -85, -l - 2*l + u = -4*c. Calculate the lowest common multiple of l and 14.
112
Suppose 2*x + 122 = 4*z + x, 5*z - 160 = 5*x. Suppose 38 = 3*b + 2*o, 3*b - 1 = 5*o + z. What is the lowest common multiple of b and 76?
228
Let u = -2321341336 - -2497764981347/1076. Let h = -35/1076 - u. Let x = 18893/12 + h. Find the common denominator of x and -9/5.
60
Find the common denominator of -95/62 and ((-3)/5)/((2464/1480)/(-7)).
1364
Suppose 56*i - 270 = 51*i. What is the smallest common multiple of i and 6?
54
Let v(j) = -j**2 + 3*j. Let o be v(3). Calculate the lowest common multiple of (o/(-2))/(-5) + 4 and 44.
44
Let f = 20 + 4. Let w = 12 - f. Calculate the common denominator of 1/20 and 206/w - (-3)/(-9).
20
Le