68. Calculate the least common multiple of p and 64.
128
Suppose 3*d = 4*d + 5*m - 16, -4*m = -3*d - 9. Let j(a) = 3*a**2 - 13*a + 12. Let w be j(d). Find the common denominator of 0 and w/(-5)*(-552)/48.
5
Suppose 21 = p + 19. Let o(w) = -w**3 - 9*w**2 + 22*w + 9. Calculate the smallest common multiple of o(-11) and p.
18
Calculate the least common multiple of 42 and (34/204)/(2/84).
42
Suppose -7*n = -n - 78. Suppose -3*b = -a - 117 - n, 0 = -3*a + 6. Let t = b - 17. Calculate the lowest common multiple of 27 and t.
27
Let y(u) = -2*u**2 + u + 3. Let f(x) = -9*x**2 + 12*x + 35. Let b(k) = f(k) - 4*y(k). Calculate the lowest common multiple of (10 - -1) + -1*2 and b(7).
90
Let y(q) = 63*q**2 + 71*q + 238. Calculate the smallest common multiple of y(-14) and 6.
11592
Let g(s) = 3*s**2 - 460*s + 1633. Calculate the lowest common multiple of g(151) and 128.
1152
Let c = -101 - -116. Suppose 3*w + 2*q = -w + 22, 3*w + 3*q = 18. Calculate the least common multiple of w and c.
15
Suppose 3*b + 10*v = 10102 + 4368, -2*b - v + 9692 = 0. What is the least common multiple of b and 2910?
14550
Suppose 2*x + 776 = 10*x. Let z = x - 61. What is the smallest common multiple of z and 72?
72
Let l = 7/566 - -2289/135274. Let r = l + -16139/4302. What is the common denominator of -4/33 and r?
198
What is the smallest common multiple of 56 - 5/((-15)/(-6)) and (144/(-864))/((-1)/108)?
54
Let d(k) = 10*k - 9. Let l be d(5). Suppose 0 = -5*m + 10, 0*m + 3*m = -5*s + 156. Let p = l - s. Calculate the lowest common multiple of p and 23.
253
Let s = -86105/18 + 4785. What is the common denominator of -41/540 and s?
540
Suppose -3*w + 5 = -2*r - 25, w + 2*r = 10. Calculate the least common multiple of 750 and w.
750
Let o = 61/88 + -5411/2728. Calculate the common denominator of 49/70*106/14 and o.
310
Find the common denominator of 2/(9*10/468) and 35/1656.
8280
Suppose -o + 2 = -6. Calculate the least common multiple of 100/15*(-1743)/(-830) and o.
56
Suppose -k - 32 = -5*k. Let r be -10 + k - 449/(-222). Let c = r + -1511/555. What is the common denominator of c and 23/26?
130
Let v = -417 - -3782/9. Find the common denominator of -59/42 and v.
126
Let n = -1080571/194190 - 14/6473. Let b(w) = 870*w + 5. Let j be b(3). Let t = -10383/4 + j. Calculate the common denominator of t and n.
60
Let c be (4/12)/((-2)/(-372)) - -1. Suppose 5*b - c = -10*u + 6*u, -u = -5*b + 53. What is the lowest common multiple of b and 230?
2530
Let k(o) = o**2 + 45*o + 423. What is the smallest common multiple of 1379 and k(-11)?
9653
Let t = 1515 + -40900/27. Find the common denominator of -25/141 and t.
1269
Let v = 14 - 8. Suppose 2*z - 5*z = -v. Suppose 124*j - 99*j = 150. Calculate the smallest common multiple of z and j.
6
Suppose -d = -b - 134, 4*d + b = -0*b + 516. What is the common denominator of (-3)/(-9) + 15/d and 79/2?
78
Calculate the common denominator of 73/459 and 25580/2312 - (21 + -10).
15606
Let o be 5 - (1 - 1/1). Suppose -f + 5 = -o. Suppose 4 = -9*y + f*y. What is the least common multiple of y and 9?
36
Let i be 119/42 - 2/(-12). Let u = 19 - 14. Calculate the lowest common multiple of -3 + (14 - 0/i) and u.
55
Let d = 216 + -108. Let q = -535 - -537. What is the smallest common multiple of d and q?
108
Suppose 0 = -3*x + 2*r + 146, 0 = -2*x - 3*x + r + 255. What is the least common multiple of x and 1264?
16432
Let r be 48/(-20)*10/(-4). Let y be (((-3)/(-297))/(-1))/(15/r). Let p = 1652/495 + y. What is the common denominator of p and 29/19?
57
Let d be (-498)/(7/((-5026)/(-57664))). Let z = d - -12/901. Find the common denominator of z and 3 + (111/(-9))/((-4)/3).
16
What is the smallest common multiple of 56*(22/(352/(-24)))/(12/(-10)) and 1110?
7770
Suppose 0 = 94*c - 78*c - 80. Suppose -3*g - 12 = 0, 0 = -c*w + 5*g - g + 41. What is the lowest common multiple of w and 60?
60
Suppose -2*z - 2*z + 12 = 0. Let t = z + 15. What is the least common multiple of t and (-3)/(3/((-4)/3*3))?
36
Let k(n) = n**3 + 7*n**2 + n + 8. What is the lowest common multiple of k(-7) and -6*(-12)/(-63) - (-58)/14?
3
Suppose -3*z + 4*z = 5*a - 241, 45 = a - z. Suppose -13 = 6*j - a. Suppose 0 = -4*l + 42 + 70. What is the lowest common multiple of j and l?
84
Let j(w) = -2*w + 1. Suppose 7*z - 3*z = 96. Let l = -9 + z. What is the lowest common multiple of l and j(-16)?
165
Let x = 1182871/274516 + -798/187. Find the common denominator of x and -41/8.
2936
Let a(z) = 4*z - 12. Let k be a(4). Suppose -b - 3*l = -87, k*b + 3*l = 77 + 244. Find the common denominator of -37/15 and (70/(-1008))/((-2)/b).
120
What is the lowest common multiple of 445 and 70/((42/1246)/1*2/3)?
3115
Suppose 3*s + 89 + 906 = -4*n, 0 = n - 3*s + 260. Let t = n + 253. What is the lowest common multiple of 10 and t?
10
Suppose -11*t = -13 + 2. Find the common denominator of 1781/(-78) + (t - 3) and -99/106.
318
Let t(i) = 2*i**2 + 3*i - 86. Let b be t(-20). Let m = b + -32701/50. What is the common denominator of m and -33/35?
350
Let l = 239 - 199. Calculate the smallest common multiple of 3 and (-2 - -1)/(-1)*(l + -7).
33
Let y be (1 + 1)*53/(-2). Calculate the common denominator of y/32 + 1 + -1 and (-3750)/(-1400)*-3*14/24.
32
Let m(j) = -j**3 - 10*j**2 + 24. Calculate the lowest common multiple of m(-10) and 410/18 - -1 - 20/(-90).
24
Let l = 106 + -68. Let x = -69 + l. Let p = x + 35. What is the lowest common multiple of p and 17?
68
Calculate the common denominator of 22 - (134475/19184 + 15) and -75/1526.
12208
Let i(v) be the first derivative of v**3/3 + 9*v**2/2 + 7*v + 40. What is the least common multiple of i(-9) and 2 + 3/1 + 0?
35
What is the least common multiple of 64 and ((-584)/(-2) - 1) + 32 + -35?
576
Let k = 23 - 20. Suppose 4*f = k + 9. Calculate the least common multiple of 6 and f.
6
Suppose -3 = 4*m + 13. Let u(j) be the first derivative of j**3/3 - 8*j - 10. Calculate the lowest common multiple of 18 and u(m).
72
Suppose 12*i - 160 = -292. Calculate the common denominator of (-4)/i*(-51)/6 and -38/7.
77
Let a(z) = 12 + 5*z**3 + 20 - 14*z**3 + 10*z**3 + 3*z - 11*z**2 + 4*z. What is the least common multiple of a(10) and 9?
18
Let t = 1986 + -2706. Let u = -113 + 13. Calculate the smallest common multiple of 44 and 20/6*t/u.
264
What is the common denominator of 13/480 and 5918/780 + 24*(-14)/42?
6240
Let f = -106/21 + 485/42. Find the common denominator of f and (2/(-3))/(160/(-1710)).
8
Suppose b = -b - 8, -2*n = -4*b + 324. Let s = 182 + n. Calculate the smallest common multiple of s and 27.
108
Let o(t) = 56*t + 22. Calculate the smallest common multiple of o(2) and 201.
402
Suppose -q = -5*g - 899, -204 - 528 = 4*g - 4*q. Let x = -9 - g. What is the least common multiple of 14 and x?
1190
What is the least common multiple of 940 and (5 - 145)*(-270)/378?
4700
Let u = -32 + 150. Let a = -109 + u. What is the lowest common multiple of a and ((-12)/(-14))/((-2)/(-14))?
18
Let f(r) = -4*r + 28. Let m be f(-7). What is the common denominator of 0 + (-2)/((-16)/174) and (506/m)/(-11) - 2/8?
28
What is the common denominator of ((-1290)/(-16))/(-3)*(-220)/(-7150) and 69/52?
52
Let h = 462203/90 - 46160/9. Let n = 5293223/242 + -21873. Calculate the common denominator of n and h.
1210
Suppose 3130 = 4*y - 3002. Calculate the common denominator of (1 + 1 + -1)*y/693 and -64/87.
957
Let x = -4380 - -5556. Calculate the least common multiple of x and 441.
3528
Let r(c) = c**2 + 2*c + 12. Suppose 86*s = 72*s + 56. Suppose s*y + 7 - 85 = -5*k, 4*k + 4*y = 64. Calculate the lowest common multiple of k and r(-4).
140
Let x(n) = n**2 - 5. Suppose -29 = -9*r + 25. Let w be x(r). Suppose z = 69 - w. Calculate the common denominator of z and 55/3.
3
Suppose u + 64*r = 67*r - 13, -r + 7 = u. Calculate the least common multiple of 2228 and u.
2228
Let s = 6659569 + -152743874553/22936. Find the common denominator of 59/2 and s.
22936
Let p = 1/187380 + -5434643/116737740. What is the common denominator of 37/7 and p?
623
Let l = 0 - -15. Calculate the common denominator of (-675)/48 + (40 - 21) and 269/(-24) - (-5)/l.
16
Let s(b) = -b**2 + 3*b + 38. Let n be s(10). Let f be 1845276/n*(-4)/18 - 3. Let a = 12799 - f. Calculate the common denominator of a and 63/10.
60
Let r be -5*(2 - 27/(-15)