- 35. Let a(z) = -7*z - 34. Let p(d) = 4*a(d) - 5*o(d). Calculate the least common multiple of p(-6) and 12.
108
Let f be -4 + 12/(-9) - (-16)/12. Calculate the common denominator of 425/f*(-2)/265 and -81/14.
742
Let l = -979 - -1248. What is the least common multiple of (8/(-10))/((-1)/15*3) and l?
1076
Calculate the common denominator of (4/378)/((-4)/(-501)) and 2/21*3/(-7)*1449/(-36) + -3.
126
Suppose -16*i + 154 = -198. Calculate the least common multiple of 320 and i.
3520
Suppose 3*c - 17 = -5*u, -12*c - 4*u + 12 = -10*c. What is the common denominator of (-455)/(-252)*c - 5 and -38/81?
81
Let r = 942583993/6 - 156741032. Let z = r + -6489211/18. Let a = -4207 - z. What is the common denominator of a and 121/30?
90
Let n = 788374 + -2034005021/2580. Calculate the common denominator of 95/516 and n.
2580
Let o = 162/487 - 214515/605341. Calculate the common denominator of -15/154 and o.
17402
Suppose -161*g = -159*g + 806. Let s = -337 - g. What is the least common multiple of 8 and s?
264
Suppose -3*p - 2*b - 18 = 117, -4*p - 181 = 3*b. Let j = -53 + p. Let t = j - -152. Calculate the smallest common multiple of t and 16.
112
Find the common denominator of -7/5274 and 180 + -179 - 130/(-12).
5274
Let m be 25300/(-12) - (-3)/9*1. Find the common denominator of (-147)/(-2)*(m/264 + 8) and -32/99.
396
Let s = -22 - -19. Let a be 58*1 + (s - 0 - -3). Suppose 22 = -3*t + a. What is the smallest common multiple of t and 22?
132
Let y(c) = -2*c**2 + 28*c + 30. Suppose 5*x - 15 = 5*i, -5*i = -x - 2*i - 5. Calculate the lowest common multiple of 6 and y(x).
384
Let s = 5423/10 + -7862/15. Let y = -193 - -52. Calculate the common denominator of s and (y/6 - 0)/1.
6
Suppose -11 = 8*c - 43. What is the common denominator of 30/7 and 2 + -1 - ((-476)/(-192) - c)?
336
Let q be (-22229)/2 - (45/(-10) + 5). Let v = 15886 + q. Let p = 114451/24 - v. Calculate the common denominator of p and -103/24.
24
Let p = 200 - 68. What is the common denominator of 77/48 and (-18)/(-24) - (-2 - (-595)/p)?
528
Let b(g) = -2*g**3 - 2*g**2 + 2*g. Let i be b(-2). Suppose -k - 10 = -w, w + i = 5*k + 2. Calculate the smallest common multiple of w and 8/((-504)/27)*(-21)/9.
13
Calculate the common denominator of 18/(-261) + (-32279)/51272 and -107/14.
952
Let a(b) = -b**3 - 10*b**2 + 3*b - 2. Suppose 3*s - 14 + 41 = 0. Let u be a(s). What is the common denominator of 7/26 and ((-84)/u)/(-6*4/90)?
286
Let j = -51953 - -51961. Let o = -1 - -14. Suppose 2*t = -3*v + o, t - 2*v - 66 = -3*t. Calculate the least common multiple of j and t.
56
Let n(c) = 15*c + 470. Calculate the lowest common multiple of (-66)/(-44) - (-354)/4 and n(-26).
720
Suppose -4*d - 6 = -70. What is the smallest common multiple of 10/(2/(-5)*(-23 + 24675/1100)) and 3/((-15)/d)*-10?
352
Let c = -708683/2380968 + 904/4077. Find the common denominator of -62/1095 and c.
8760
Let y = -28 + 28. Let k be (-5 - (y + -3))*2. What is the common denominator of -35/16 and (54/k)/(44/12)?
176
What is the least common multiple of 315 and -20*(20 + -8 + -54)?
2520
Suppose -195*v = 169*v - 728. Calculate the smallest common multiple of v and 21462.
21462
Let v = -7188 + 4578719/637. What is the common denominator of -15/7 and v?
637
Let a(k) = 2*k**3 + 77*k**2 + 37*k - 19. Let p be a(-38). Suppose 0 = 3*l + 7 - p, 5*l - 4 = 4*j. Calculate the smallest common multiple of j and 1.
4
Let g(f) = -f**3 + 303*f - 13. Calculate the least common multiple of g(-19) and 1694.
15246
Suppose 0 = q - 4*m + 90 - 313, -5*m = 4*q - 1018. What is the smallest common multiple of 988 and q?
988
Let w(u) = -5*u**3 - 24*u**2 + 5*u + 8. Calculate the least common multiple of w(-5) and 133.
1064
Suppose -38*s = -36*s - 32. Suppose -74 - 3 = -7*i. What is the lowest common multiple of (-4)/3*(-33)/i and s?
16
Let x = 261416 - 129400873/495. Find the common denominator of x and 53/1320.
3960
Let k(l) be the second derivative of l**5/20 + l**4/2 - 10*l**3/3 - 10*l**2 - 38*l. What is the smallest common multiple of 12 and k(-8)?
12
Suppose -33*q + q - 78752 = 0. Calculate the common denominator of 48/121 and ((-1)/11)/((-184)/q).
968
Let i(g) = g**2 + 6*g - 2. Let h be i(-5). What is the common denominator of h + 8 - 390/54 and 46/9?
9
Let b(a) = -a**2 - 39*a - 116. Suppose -91 = 3*t + 2. What is the smallest common multiple of 48 and b(t)?
528
Let j(a) = -a**2 - 10*a - 5. Let f be j(-9). Suppose 12 = -k + 3*h, 2 = k - f*h + 19. Calculate the smallest common multiple of ((-2)/(-1))/((-1)/(-2)) and k.
12
Suppose 2*o - 82770 = 4*o - 4*m, 0 = -3*o - 5*m - 124100. Let k = 1489619/36 + o. Calculate the common denominator of k and 55/32.
288
Let b = 78541408 - 38328220521/488. Let r = 3/488 - b. What is the common denominator of r and 43?
2
Suppose -2*x - 23 = -b, -5 - 27 = -2*b - 3*x. Suppose 4*i = -k + 22, 4*i + b - 53 = -3*k. What is the smallest common multiple of k and (2 + -4)/(-1 + -1)?
6
Let q(w) = w**3 - 9*w**2 + 18*w - 6. Let z be 4 + -5 + 4 + -31. Let t = -24 - z. What is the smallest common multiple of t and q(7)?
44
Let a(z) = z**3 + 20*z**2 - 2*z - 52. Let q be a(-20). Let l = q - -16. Calculate the lowest common multiple of 4 and l.
4
What is the least common multiple of (-452)/(-1017) + (-2 - (-717)/27) and 44?
1100
Let y be 6/(-24) - 677639/132. Suppose -3*n = 2*f + 10284, -f - 2*n + n = 5140. Let h = f - y. Find the common denominator of h and -28/27.
297
Calculate the common denominator of 19/3*264/880 and 8/235.
470
Let i = 24 - 221/6. What is the common denominator of i and (1 - (21/6 - 2))*1?
6
Let q(h) = -11*h - 2. Calculate the smallest common multiple of q(-1) and (-380)/57*(-27)/30.
18
Let b(d) = 41*d + 14. Let u be b(4). What is the common denominator of -32/7 and (-6 - 2) + 11 + u/(-30)?
105
Let g = -933 - -1005. Calculate the smallest common multiple of 384 and g.
1152
Let d be (-548439)/210 + 2/(-7). Let y = 894 + 1720. Let t = d + y. Calculate the common denominator of 87/4 and t.
20
Suppose 4*m + 8 = -5*t + 11, -2*t - 8 = -3*m. What is the least common multiple of 16728 and m?
16728
Let x be 1852/(-320)*(4617/(-6) - -2). Let c = -2726 - 1718. Let j = x + c. What is the common denominator of j and -31/44?
352
Let b(u) = -6*u + 11*u - 6*u + 49 - 16. Calculate the lowest common multiple of 27 and b(12).
189
Let r(q) = -127*q - 1584. What is the least common multiple of 182 and r(-18)?
4914
Let t be 84/24*192/28. Suppose -4*p - x + 13 = -t, -4*p + 49 = -3*x. What is the least common multiple of 48 and p?
240
Let u be 3/30 - (-23559777)/2160*3. Let b = u - 32723. Calculate the common denominator of b and 117/20.
80
Let q(p) = 2*p**2 + 40*p + 513. What is the least common multiple of q(-14) and 322?
4830
Let d = -1175463/17 - -74615. Let j = d - 5468. What is the common denominator of j and ((-5)/2)/(9/4)?
153
Let y = -182225/14 - -13012. Calculate the common denominator of -17/6098 and y.
42686
Let k(s) = 4*s - 7. Let c be k(3). Suppose -324 = -c*m - m. Suppose 20*z - 22*z = -m. What is the lowest common multiple of 30 and z?
270
Let v = -130014830 - -251188658323/1932. Let r = 27/322 - v. Calculate the common denominator of -83/8 and r.
24
Let l = 338519/20 + -16931. Let h = -249257/1184 + 7728/37. Calculate the common denominator of h and l.
160
Let k = 14314 - 14300. What is the least common multiple of k and 2284?
15988
Let u be -2*((-30)/4)/5. Let g be 4 + 2/((-2)/u). What is the common denominator of (-34)/(-32) - ((g - 3) + 2) and 67/26?
208
Let t be 1/5*3 - (-8757)/105. What is the common denominator of ((-6)/(-4))/(t/(-27)) and 16/63?
504
Let r be 1/(-3 + (-140)/(-45)). Let f be (1*(-2)/468)/(15/r). Let x = -35/39 + f. Calculate the common denominator of x and 45/2.
10
What is the smallest common multiple of (76/(-10) - -8)*(8 + 4 + -2) and 133?
532
Suppose 47*f - 1066296 = -141*f - 76*f. Calculate the lowest common multiple of 3462 and f.
24234
Let s be (-1301751)/(-2730) + (0 - 0). Let z = -500052 + 6494451/13. Let a = s + z. Find the common denominator of a and 17/14.
70
Suppose 8*m - 7*m = 48. Let c = 3401561/6311382 + 2/450813. Calculate the common denominator of c and m.
154
Suppose 115*z = 9*z + 39008. What is the lowest common multiple of 10 and z?
1840
Suppose -17*m = 5*m - 44. Let r(j) = j**3 - 4*j*