 0. Let n = b + d. Calculate the least common multiple of n and 27.
108
Let b(o) = 5*o - 20. Let h(v) = v**3 + 56*v**2 - 238*v + 153. Calculate the smallest common multiple of h(-60) and b(16).
660
Suppose -63*j + 63 = -42*j. Suppose j*i - 26 = -2*z, 0 = 5*z + 3*i - 4 - 43. Calculate the least common multiple of z and 140.
140
Let b(h) = -2*h + 22. Let i be b(9). Calculate the least common multiple of 66 and 3*i + (6 - 10) - -4.
132
Let u = 30523/4498 + -462/173. Suppose 0 = 14*j - 30*j - 11920. What is the common denominator of j/(-60)*(0 - -1) and u?
156
Let l(v) = -5*v + 131. Let h be l(27). Calculate the common denominator of (h/10)/(308/5665) and 27/14.
14
Let o(j) = 27*j + 3. Suppose -4*s - i + 132 = 0, -61 = -3*s + 5*i + 61. Suppose s - 35 = -w. What is the smallest common multiple of o(w) and 12?
60
Let o(c) = c**3 - 52*c**2 - 192*c - 162. Calculate the smallest common multiple of o(56) and 1630.
1630
Let a(j) = 6*j + 24. Let i be a(-10). What is the lowest common multiple of (-525)/10*i/21 and 21?
630
Calculate the common denominator of 32/288*174/(-583) and -19/636.
6996
Let h = -751366/45 + 16698. What is the common denominator of 3 + -2 - 3/(-270)*-202 and h?
45
What is the common denominator of 31/1771 and (-1502)/(-132) - (10 + 46/23)?
10626
Let q = -2/1315509 + -74974357/6351277452. Find the common denominator of 11/8 and q.
9656
Let d = -11 - -17. Let c(j) be the first derivative of j**4/4 - 8*j**3 + j**2/2 - 14*j + 74. Calculate the smallest common multiple of d and c(24).
30
Let a be ((-20)/(-15)*9)/2. Suppose -a*y + 13 + 35 = 0. What is the lowest common multiple of y and 40?
40
Let d = 0 - 6. Find the common denominator of 63/(-27)*((-780)/(-126) + -6) and (-11)/d*(-24)/30.
45
Let l = -19533/38222 + 30/659. What is the common denominator of -25/522 and l?
522
Suppose -5*m + 8 - 1 = 4*b, -3*m = b - 7. Let f = -108 + 208. Suppose 2*c + 3*d - 21 = 0, -2*c + 2*d = 3*c - f. Calculate the lowest common multiple of c and m.
18
Let i(g) = -g**2 + 26*g + 18. Let r be i(24). Suppose -a = 3*u - r, 2*u = 2*a + 23 - 131. Calculate the smallest common multiple of 95 and a.
285
Let f = -10573841/27162520 - 1/194018. Calculate the common denominator of 2/3 + (-175)/84 and f.
840
Let r = -2976 + 3012. Calculate the smallest common multiple of 831 and r.
9972
Suppose -6 = 2*g - 10. Let v(d) = -d. Let u be v(g). What is the least common multiple of 22 and (-1 - u)*((-2 - 4) + 12)?
66
Let m = -103219/116 - -3557/4. Calculate the common denominator of ((-2)/(60/13))/(372/2046) and m.
1740
Suppose -24*p + 30*p = -9990. Find the common denominator of 5 + 0 + p/280 and (-57)/(-30) - 1 - -1.
280
Let g(a) = 131*a**2 + 44*a - 82. Calculate the smallest common multiple of 10 and g(2).
530
Suppose 9*z = -0*z - 324. What is the common denominator of (15/(-4))/((-1)/6) and ((-34)/z + -3)/(3/9)?
6
Let s(f) = f**2 + 40*f + 1223. What is the smallest common multiple of 9 and s(-23)?
7488
Let b = -1159083 - -10678631662/9213. Calculate the common denominator of 1/33 and b.
101343
What is the lowest common multiple of (96/(-2))/((-315)/84 - -3) and 104?
832
Let t(x) = -x**3 - 14*x**2 + 30*x - 8. Let c = -561 + 545. Calculate the smallest common multiple of t(c) and 10.
120
Suppose 3*a + 7 = -5, 667 = 3*o - a. Let u = o - 171. What is the least common multiple of 5 and u?
50
Let y = 4577257/138 + -33168. Find the common denominator of y and 91/48.
1104
Let q = 5846814835/2304 + -2537680. What is the common denominator of -81/8 and q?
2304
Calculate the common denominator of 31/10 and (-668118)/111540 - -1*6.
1690
Suppose 5*c = -8*c + 6*c + 308. What is the least common multiple of 48 and c?
528
Suppose -4*m = -4*s - 12, 6*s - 2*m = 8*s + 18. Let p = 36 - 58. What is the lowest common multiple of 165/p*8/s and 7?
70
Suppose 18*l - 2 - 34 = 0. Suppose 2*a + l*a = -i + 91, -5*i = 4*a - 423. Calculate the smallest common multiple of i and 9.
747
Suppose -7*u + 3492 = -2026 - 971. Calculate the smallest common multiple of 824 and u.
7416
Let q = -104 - -104. Suppose q = -8*c - 50*c + 522. What is the lowest common multiple of c and 9?
9
Let p(i) = 22*i**3 + 5*i**2 - i - 4. Let o be p(-2). Let b = -157 - o. What is the lowest common multiple of b and 13?
13
Let o(y) = -10*y + 152. Let v be o(15). Suppose 2*w - 40 = -0*w. Calculate the lowest common multiple of (-16 - v)*((-204)/(-36) - 6) and w.
60
Let h(x) = 57*x - 411. Calculate the lowest common multiple of h(8) and 45.
45
Suppose -3*l - 59397 = 10*l. Let g = 45729/10 + l. Find the common denominator of g and 7/25.
50
Suppose 4*k - 591 = v, 5*v - 3 = 2*v. Suppose -34 = 7*w + k. Let d = w + 36. Calculate the lowest common multiple of 14 and d.
70
Suppose -73620*n - 15096 = -73637*n. Calculate the least common multiple of 18 and n.
2664
Let q be -88*(-2)/2 - (0 - 2). Suppose 5*y = 2*y - q. Calculate the lowest common multiple of -3 + (-306)/y + 1/(-5) and 36.
252
Let d(h) = -24*h**2 - 28*h - 13. Suppose 0 = -7*t + 2*t - 70. Let u be d(t). Let k = u + 34665/8. Find the common denominator of k and -27/2.
8
Let j = -134392 - -134399. Suppose -2*x - 1 = -17. What is the least common multiple of j and x?
56
Suppose 8*i - 861 = -20*i - 13*i. Calculate the lowest common multiple of 2619 and i.
18333
Let f(y) = -9*y**3 - 11*y**2 - 9*y - 40. What is the lowest common multiple of f(-4) and 1056?
3168
Let b be -4 - (5 + (3 - 6)). Let q be 2/(-2 + 0) + (-4 - b). What is the least common multiple of 30 and 3*q/(1/3)?
90
Let q = -491 + 747. Let n = 267 - q. Let x(p) = p**2 + 2*p + 1. What is the smallest common multiple of x(-3) and n?
44
Let u = 6504571/448070 + -3769/259. Find the common denominator of u and 32/35.
12110
Let b(n) = 7*n**2 - 24*n + 5. Let y be b(7). Let z = -173 + y. Calculate the lowest common multiple of 40 and z.
280
Let c = 4986320330468105/1842328311877368 + -1/16081636088. Let u = -12/4243 + c. What is the common denominator of u and 15/11?
297
Let p(l) = l**3 + 9*l**2 + 31*l + 133. Calculate the smallest common multiple of 1602 and p(-7).
11214
Let m(g) = 2*g**3 - 42*g**2 + 41*g - 12. Let v be (-2 + 1)/((-3)/(-21)). What is the least common multiple of 9/21 + (-25)/v and m(20)?
8
Suppose 2844 - 975 = 5*l - 3*j, 2*j - 1460 = -4*l. What is the lowest common multiple of l and 45?
1845
Let c = 4666634 - 29125987. Let y = -18148842795/742 - c. Let j = -1/106 - y. Calculate the common denominator of -125/12 and j.
84
Let h = 78 - 80. What is the common denominator of 6/h*-1 + 84/720 and (3 - 4)/(30/(-134))?
60
Calculate the common denominator of (465/(-175))/(54/(-36)) and -107/170.
1190
Let h = -9 + 13. Let q = 63 - 57. Suppose -12 = q*m - 30. What is the least common multiple of h and m?
12
Let w(g) = -g**3 + 7*g**2 - 4*g + 3. Let s(v) = 3*v**3 + v + 4. Calculate the smallest common multiple of w(5) and s(2).
330
Suppose -4*u = -4*d + 32, 4*d + 0*d + 5*u = 77. Suppose -d*k = -31*k + 90. What is the lowest common multiple of k and (-8)/(-1) + 1/(-1)?
35
Let g(f) = 841*f**2 - 6712*f + 14. Calculate the least common multiple of g(8) and ((-20)/6)/(1/(-3)).
710
Calculate the common denominator of (13753/1496 + -8)/((28/8)/7) and (-603)/(-154) - 6/42.
44
Let m(p) = -p**3 + 68*p**2 + 797*p - 260. Calculate the smallest common multiple of 596 and m(77).
7748
Suppose -2*z + 4 = -z. Suppose -2*y = b - 4, -b + 0*b = -z*y - 4. Calculate the lowest common multiple of b and (-168)/196*(355/(-15) + 5).
16
Let h = -1160/119 + 85427/7140. What is the common denominator of h and -103/84?
420
Let u be 2 - 3643/5 - 2. Let a = u - -724. What is the common denominator of a and 5934/215*(-8)/(-48)?
5
Suppose 13*f = -3*f + 156 - 12. What is the smallest common multiple of f and 442?
3978
Suppose 10 + 2 = z. Let f be (-8)/z - (-3053)/84. Let t = f + -1185/28. Calculate the common denominator of 69/44 and t.
308
What is the common denominator of 4*(1762/216 - 8) and (22/(-4))/(108/16)?
27
Let u = -473193/86 - -5503. Suppose -2*o + 2*k = 0, 4*o + 4*k - k + 14 = 0. Calculate the common denominator of o + (-375)/(-42) + 1 and u.
602
Let y = 25/82 + 1167/1148. Let h = -17/2256 - -3275/1128. What is the common denominator of h and y?
336
Let a(o) = -7*o - 56. Let w be a(-11). Find the common denominator of ((-8)/(-45))/(6 + (-119)/w