 Let s be o(-7). Suppose 4*x + s = -x. Find the common denominator of -37*-2*2/x and 59/7.
35
Calculate the common denominator of 7 - (-9)/(-42)*52 and -107/34.
238
Let c = -776 + 836. What is the least common multiple of 7 and c?
420
Suppose a = -a - 6. Let p(o) = -o**3 - 3*o**2 - o + 3. Suppose -4*z + 6 = 2*h - 58, 0 = 4*h + 16. What is the lowest common multiple of z and p(a)?
18
Let g(o) = o**2 + o. Let i(p) = -p**3 + 6*p**2 - 4*p + 1. Let v be i(5). Suppose -2*j = -v*j + 56. Calculate the lowest common multiple of j and g(2).
42
Suppose 0 = -19*j + 804 - 63. Calculate the smallest common multiple of j and 5.
195
Let f = -7455/8 - -933. Let q be (-8)/(-48) + (-21418)/(-12). Let h = q - 7205/4. Calculate the common denominator of h and f.
8
Suppose -3*i = -d + 11, -5*d - 9*i + 11*i + 94 = 0. What is the least common multiple of d and 16?
80
Calculate the common denominator of -2 - ((-8022)/216)/7 and -71/9.
36
Let l = 29/7 + 3/28. Let o = -2686639/4290 - -25271/39. Let c = o - 107/5. Calculate the common denominator of c and l.
44
Suppose 0 = 3*f - x - 45, 3*f + 3*x - 57 = -0*x. Suppose 4*b - 44 = -2*y, 7*y - 2*y - 105 = -5*b. What is the smallest common multiple of (f/y)/(2/40) and 10?
80
Let b = 250 - 178. Let g = b + -64. Calculate the smallest common multiple of 12 and g.
24
Let o(k) = k**2 - 11*k + 5. Let j be o(10). Let r(w) = -w**3 - 6*w**2 + 7*w + 2. Calculate the lowest common multiple of (2 - (-20)/j)*-1 and r(-7).
2
Calculate the common denominator of -37/22 and ((-3893)/1284 - -3) + (-2)/12.
4708
What is the common denominator of -19/310 and 244/(-48)*((-20)/(-6) - 2)?
2790
Suppose -166 + 759 = 4*w + 5*j, -3*j - 313 = -2*w. What is the least common multiple of 88 and w?
1672
Let z(m) = m**3 + 3*m**2 - 3*m + 4. Let t be z(-3). Let o(i) = -5*i + 24 + t*i + 3*i + i**2. What is the smallest common multiple of 14 and o(-10)?
14
Suppose 7*u = 4*u + 414. What is the smallest common multiple of 161 and u?
966
What is the common denominator of 35/(-20) - -1 - (-1148)/144 and 73/3?
9
Let p be 2 - 0/(-6) - (-446)/(-218). Let a = -8329/981 - p. What is the common denominator of a and -52/33?
99
Let a(i) = 5*i**2 - 57*i - 26. What is the least common multiple of 98 and a(12)?
490
Let u = 496360423/32508 - 1284209/84. Let a be -8*(-3)/24*2/(-2322). Let p = a + u. What is the common denominator of p and -119/10?
30
Let f = 3193/658 + -13/94. Let j = -12/641 + 184003/1923. Let o = -94 + j. What is the common denominator of f and o?
21
Let g(v) = v + 6. Let x be g(-6). Suppose -w + 9 = -x*w. Suppose 0 = 4*k - 4 - 0. What is the least common multiple of w and k?
9
Let b = 3599/1650 + -392/75. Let y be (-6410)/(-952)*(-144)/(-40). Let g = y - 372/17. Find the common denominator of g and b.
154
Suppose -8*k + 8 = j - 9*k, 2*j + 3*k = 21. Let w(l) = -l**2 + 9*l + 11. Suppose -5*z = -0 - 45. What is the smallest common multiple of w(j) and z?
99
Let j be 8/20 + (-29276)/73215. Let z = -1332557/322146 + j. Calculate the common denominator of (1 - 2) + 87/16 and z.
176
Suppose 7 = -2*a + 13. Suppose -m + 5*m = 192. Suppose -f + m = a*f. Calculate the least common multiple of f and 18.
36
What is the smallest common multiple of 69 + (3 - (1 + (-10)/(-2))) and 74?
2442
Let p = 6 + -6. Let y(m) = 2*m**2 + 2*m + 27. What is the lowest common multiple of y(p) and 9?
27
Let h be (24/3)/(18/2295). Suppose -14*s = -20*s + h. What is the lowest common multiple of s and 14?
1190
Suppose 12*k + k = 234. Suppose 0 = -2*b - 5*r + 18, 5*b + 2 = 4*r + 80. Calculate the smallest common multiple of k and b.
126
Suppose -8917 = -34*j + 29775. What is the least common multiple of j and 10?
5690
Let y = -1072 - -1076. Calculate the lowest common multiple of y and 40.
40
Let k(s) = 3*s + 70. Calculate the least common multiple of k(-20) and 63.
630
Let v = -560 - -570. Let a(p) be the first derivative of 21*p**4/4 + p**2 - p - 2. What is the smallest common multiple of v and a(1)?
110
Find the common denominator of 758/(-66) - -8 - -2 and -83/318.
3498
Let w = 20686/3 + -110071/12. Let s = -2264 - w. Let p = 2719 - 27167/10. What is the common denominator of p and s?
20
Calculate the common denominator of 19/6 and 0/4 + (-339)/3780*3.
420
Suppose 5*g - 466 = 2*d, -2*g - 2*d - 282 = -5*g. Calculate the common denominator of g/(-23) - (-175)/6 and 51/11.
66
Let k be (-58314)/45*(-30)/(-920). Let y = k - 28/115. What is the common denominator of 87/16 - (-2)/(-4) and y?
16
Suppose -3*j - 13 + 4 = -2*n, 0 = 2*j + 5*n - 13. Let f be (-2)/(-2) + (j - 2). Find the common denominator of f/(-4) + (-476)/(-51) and 19/9.
18
Let j = 18/2447 - -305551/44046. Let k = -58507/19120 + -3/1195. Find the common denominator of k and j.
144
Calculate the least common multiple of 4 - ((-30)/55 - (-728)/(-77)) and 4.
28
Let d = -5282/1485 - -71/27. Find the common denominator of d and -91/6.
330
Suppose 40 = -6*u + u. Let r = 7 + u. Let z = 5 - r. What is the smallest common multiple of z and 6?
6
Let f(u) = -60 - u**2 - 61 + 3*u + 128. Calculate the lowest common multiple of f(4) and 25.
75
Let v = 207 + -250. Find the common denominator of 103/200 and v.
200
Let p be ((-108)/(-32))/(-9)*-8. Suppose 2*n - 26 + 8 = -5*g, 5*n = p*g - 17. What is the least common multiple of 5 and g?
20
Suppose -3*q - 98 - 70 = -4*h, -3*q + 237 = 5*h. Let t = 87/2 - h. What is the common denominator of 15/11 and t?
22
Let k be 2/4 - (-174)/12. What is the lowest common multiple of 9 and k + (-8)/(-12)*-6?
99
Let m = -30/53 + 3717/106. Let x = 43 - 44. What is the common denominator of x/((-5)/(-2)) + 156/240 and m?
4
Let t be (36/(-5))/(3/10). Calculate the least common multiple of ((-18)/(-7))/(t/112)*-1 and 12.
12
Calculate the common denominator of 27/10 and 7/(-945)*114/(-4).
90
Let q = -45 + 14. Let y = q - -50. Suppose -3*w + c = -y, 0 = -w - 3*w + 4*c + 12. What is the smallest common multiple of w and 4?
8
Let w(f) = f**3 + 7*f**2 - 19*f + 2. What is the lowest common multiple of w(-8) and 40?
360
Let z = 5659 - 169747/30. What is the common denominator of 4/15 and z?
30
Suppose -4*a - 2*a = -768. Suppose 0 = -27*b + 11*b + a. What is the smallest common multiple of 12 and b?
24
Let c be 3*(-1 + 39472/12). Let w = 138197/14 - c. Find the common denominator of w and 89/20.
140
Let m = 1 + 1. Suppose -2*f = b + 2*f + 108, 106 = -b - 2*f. Let u = 108 + b. Calculate the smallest common multiple of m and u.
4
Let d = -321 - -586. Calculate the lowest common multiple of 8 and d.
2120
Suppose 4*h - 159 = 17. Let i be (3 - (-3)/(-2))*h. Suppose -11*s = -8*s - i. Calculate the lowest common multiple of 6 and s.
66
Calculate the common denominator of 4/(-10)*7739/(-3692) and 56/39.
390
Let h = -727157093941/43644270600 + 1/98966600. Let u = 536/49 + h. What is the common denominator of u and -63/8?
72
Calculate the lowest common multiple of 40 and 128/12*(-2 - 35/(-10)).
80
Let t = 813/8 + -306549/3016. Find the common denominator of t and 56/319.
4147
Let i = 46 + -40. Let x = -37 + 67. Calculate the least common multiple of i and x.
30
Let r = -7 - -7/2. Let u = -12124 - -193909/16. Calculate the common denominator of r and u.
16
Suppose 19*l - 25*l - 132 = 0. Let c = l + 36. What is the smallest common multiple of c and 12?
84
Suppose -s - 16 = -2*b + s, s + 19 = 2*b. Calculate the smallest common multiple of b - (3 - 6)*1 and 70/9 - (6 + 392/(-63)).
56
Suppose -4*q - 40 = -3*t, 20 = 6*q - 2*q. Suppose -3*g + 3*m + m = 13, 2*g + 4*m = -22. Let a = g - -25. Calculate the lowest common multiple of t and a.
180
Let b = -11793 - -165203/14. Find the common denominator of b and 15/742.
742
Let j = 404 - 374. What is the smallest common multiple of j and 100?
300
Suppose 180 = 3*b + 2*b. Suppose -2*g = -12, -594*q + 2*g = -590*q - 28. What is the smallest common multiple of q and b?
180
Let b = 9 + 1. Let v = 998 + -986. Calculate the smallest common multiple of v and b.
60
Calculate the common denominator of -73/6 and (-3)/3 + (-687)/(-270).
90
Let f(g) = 3 + 3*g + 3*g**2 - g**3 - g + 3*g. Let l be f(-3). Calculate the common denominator of ((-35)/l)/(4/102) and 101/16.
16
Let z be 11*((-10)/5 - -1). Calculate the common denominator of -77/10 and z/14 - (15 - 11).
70
Suppose -6*k = -3*k - 18. Let x(c) = -c**2 + 7