 82 - 30. Calculate the lowest common multiple of 1106 and j.
1106
Let f = 77888/39 + -1997. Calculate the common denominator of 109/78 and f.
78
Suppose 12 = 7*y - 44. Let h(n) = -n**3 + 7*n**2 + 10*n - 11. What is the lowest common multiple of h(y) and (-11 - -12)/((-1)/(-11))?
55
Let k = 9 + -4. Suppose -k*i = -i - 16. Let x(s) = -15*s**3 + s. Calculate the smallest common multiple of x(-1) and i.
28
Let d = 111 - 321/2. Suppose 4*s - 3*s - 4685 = 0. Let h = -93727/20 + s. Calculate the common denominator of d and h.
20
Let j be -1 + (-1 - (-2)/2). Let n be -4*(j - 12/16). Suppose -c - n = -2*c. What is the least common multiple of c and 6?
42
Suppose 811 = 6*a + 127. Calculate the lowest common multiple of a and 60.
1140
Let w be (-2 + 4/4)/((-1)/2). Suppose -w*p + 18 = 4*f, -f - 16 = -3*p + 4*f. What is the smallest common multiple of 13 and p?
91
Suppose 4*s - 3*w = 3046, -2*w + 529 = 3*s - 1764. Let t = 6881/9 - s. What is the common denominator of t and (-9130)/88*(-2)/15 - 4?
18
Let f = -175561/22 - -7985. Find the common denominator of -1/1022 and f.
11242
Let r = -1 - -6. Suppose 4*i - 15 = r*x, -4*i - 59 + 18 = 3*x. Let m = 10 + x. Calculate the smallest common multiple of m and 11.
33
Suppose -7*d + 4*d + 60 = 0. Let w(y) be the second derivative of -y**3/2 - 4*y**2 + 3*y. What is the least common multiple of w(-8) and d?
80
Suppose u - 5*u = -20, 4*r - 62 = 2*u. Suppose 0 = 4*c + 2*t - 100, -2*t - t = 4*c - 102. What is the smallest common multiple of c and r?
72
Let k(o) = 4*o + 9. Let z be k(0). Calculate the common denominator of (13/54)/(z/(-18)) and 45/11.
297
Let k(j) = 40*j - 145. What is the lowest common multiple of 105 and k(7)?
945
Let v(i) = i - 11. Let t be v(6). Calculate the common denominator of -71/4 and (t - (-36)/32) + 0/1.
8
Let j = 14 + -34. Calculate the smallest common multiple of ((-4)/6)/((-3)/63) and (-316)/j + (-1)/(-5).
112
Let f(p) = 10*p**3 - 2*p**2 + 4*p - 2. Suppose 7*l - 15 = -1. Calculate the least common multiple of f(l) and 18.
234
Find the common denominator of 20/75*5*85/100 and 68/21.
105
Let y be -1*2*707/(-14). Suppose 3 = 5*p - 2*w - 9, 4*p - 5*w + 4 = 0. Suppose 21 = -p*u + y. What is the smallest common multiple of u and 16?
80
Let u = -370 + 3347/9. Calculate the common denominator of u and -52/81.
81
What is the common denominator of 97/56 and (-1)/80*(128/4 + 2)?
280
Let o(s) = s**3 - 8*s**2 + s - 6. Let a be o(8). Suppose -3*x + 41 = 5*b - 5*x, a*x - 4 = 0. Calculate the smallest common multiple of 36 and b.
36
Let n(r) = -82*r + 411. Calculate the lowest common multiple of 75 and n(5).
75
Let v = -6 + 13. Calculate the common denominator of ((-92)/(-12))/(v/3) and -29/7.
7
Find the common denominator of -51/5 and (-403)/(-335) - 4/5.
335
Let m = 44204/205 + 7415147/2460. Suppose 0 = 5*n + 4*t - 16156, 3*t - 6 = 6. Let q = m - n. What is the common denominator of q and 5/16?
48
Let d be (20/(-6))/(2/6). Let x(t) be the second derivative of t**4/12 + 3*t**3/2 - 3*t**2 - 3*t. What is the least common multiple of 18 and x(d)?
36
Let q = 649768121/360 - 1804913. Let d = q - -8/45. What is the common denominator of 69/16 and d?
16
Suppose 0 = 4*v - 2*q + 176, 3*q + 50 = -2*v - 38. What is the common denominator of 5/2194 and v?
2194
Calculate the common denominator of 11/64 and -23 - -23 - (-158)/(-32).
64
Let i(g) = -3*g + 15. What is the lowest common multiple of 9 and i(-5)?
90
Let m = -10 + 7. Let g(q) = 3*q**2 + 4*q - 1. Suppose 15*t = 58*t - 344. Calculate the smallest common multiple of t and g(m).
56
Let u be (-4359)/(-4365) + (1 - 2). Let z = -3647691346 + 74303472664157/20370. Let o = u - z. What is the common denominator of 13/18 and o?
126
Let p(k) = 17*k + 1. Let u be p(4). Suppose z = 4*z + u. Let t = 49 + z. What is the common denominator of t and 29/5?
5
Let l be 15 + -17 + 134/(-122) + 0. Let o = 2697/488 - l. What is the common denominator of -59/6 and o?
24
Let r = 6 - -6. Let l(y) = y**3 + 22*y**2 + 116*y - 48. Calculate the least common multiple of r and l(-11).
84
Let a = 1376/3 + -471. Let d(o) = o**2 - 9*o + 9. Let h be d(6). Let q = -35/4 - h. Calculate the common denominator of a and q.
12
Calculate the common denominator of (-18)/(-15)*(-85)/4 and (-66)/88*(1 - -65).
2
Find the common denominator of -61/12 and (6/10*(-13502)/129)/(-84).
420
Let l be (2 + (-5 - -2))*-2. Let s(w) = -24*w + w**2 + 0*w**l + 16*w. What is the least common multiple of 16 and s(10)?
80
Calculate the common denominator of 4/(-10) + 419/10 and (((-132)/18 - 3)/(-1))/(-2).
6
Suppose 4 = 5*c - 1, 0 = -3*v + 2*c + 79. Find the common denominator of v and 19/2.
2
Let d = -12 + 23. Calculate the smallest common multiple of d and (1 - (-143)/(-2))*(-72)/108.
517
Let q be 1 + 1 - (-43016)/320. Let h = -1047/8 + q. Let b = 74/5 - h. Calculate the common denominator of 19/4 and b.
4
Let n = 534903793751/115443488 + 9/3607609. Let s = n - 4633. Let t = -1877/160 - s. Calculate the common denominator of t and 19/11.
55
Suppose 2*l = 3 - 73. Let d = l - -53. Calculate the smallest common multiple of d and 6.
18
Let p = 275/13 + 213/52. Let x = -2/401 - 16431/2005. Find the common denominator of p and x.
20
Let m = -30 - -33. Let p be (-11089)/39 - 2/m. Calculate the common denominator of 2/10 - p/(-100) and -111/14.
140
Let f be (-7419)/4 + 1/(-4). Find the common denominator of (-1)/3 + f/(-462) and 25.
22
Let l = -20 - -76. What is the smallest common multiple of l and 48?
336
Let h be (-64035 - 1) + 3 - -3. Let y = h - -2689135/42. Calculate the common denominator of y and -11/6.
42
Let h = 2/2877 - -1777/5754. Calculate the common denominator of h and 29/54.
378
Let f = -39 - -73. Suppose -2*v + 4 = p + 3*p, 3*p + 3*v - 6 = 0. Suppose 5*g - 15 = p, -4*h = -3*g + g - f. What is the lowest common multiple of h and 15?
30
Let m be (-478)/4*(3 - 1). Let q = -8/507 + 6172/5577. Find the common denominator of q and m/(-20) + (-1)/4.
110
Let i = 1865/2124 + -119/59. Find the common denominator of 35/208 and i.
1872
Let v = -26 - 11. Let a be 2/8 + v/4. What is the lowest common multiple of 16 and (a/(-3) + -1)*8?
16
Suppose -3*b = 3*j - 48, 0*b + 5*b = 10. Calculate the least common multiple of j and 58.
406
Calculate the least common multiple of (-2)/(-4) - (87/(-6) - -1) and 126.
126
Let c = -2011/3 - -677. What is the common denominator of -35/456 and c?
456
Suppose -1346 = -8*v - 282. Suppose 5*i - v = 2*c, -2*i + i + 23 = -4*c. Calculate the least common multiple of 6 and i.
54
Let p = -47543/9 - -5285. Find the common denominator of p and (-1)/2 - (-22)/(-36).
9
What is the lowest common multiple of 14 and (-10216)/12*(-3)/2 - 7?
8890
Let v = 11 - 9. Let i = 19 - 17. Suppose 0 = i*n + 2*r - 22, 0 = 3*r - 2 - 1. Calculate the smallest common multiple of n and v.
10
Suppose -2*o + 2 = 0, -2*h + 3*o + 0 = -1. Suppose 3*g - 15 = h*g. Calculate the common denominator of g/10 - 175/18 and 23/3.
9
Let j(k) = -3*k + 11 + 896*k**2 - 12 - 4. Let w be j(-2). Let g = w + -28763/8. What is the common denominator of -59/4 and g?
8
Let r be (-2)/7 + (-288)/(-126). Suppose 18 = v - 4*q, -r*v + 20 = -v - 5*q. What is the least common multiple of 20 and v?
20
Let k = -1359 - -1674. Calculate the least common multiple of k and 15.
315
Calculate the least common multiple of 54 and (-517)/(-235) + ((-6)/(-10))/(-3).
54
Let s = 334 - 529. What is the common denominator of 324/154 + 4/(-14) and 33/22 - s/(-21)?
154
Let s = -864/7181 + -183482269/114896. Let j = -1599 - s. Let t = 1621/1580 + -6/79. What is the common denominator of t and j?
80
Suppose 0 = 2*h + 143 - 295. Calculate the least common multiple of h and 4.
76
Let j(s) be the second derivative of 0*s**2 + 0 + 1/3*s**3 + 9*s. Calculate the smallest common multiple of 10 and j(2).
20
Suppose 5*a - r + 0*r - 97 = 0, 0 = 4*a + 5*r - 95. Let l(g) = 3*g - 50. What is the least common multiple of 2 and l(a)?
10
Let s = -254 - -158. Let h = 68 + s. Calculate the common denominator of -1/12 and h.
12
Suppose -145*u + 135*u = -140. What is the least common multiple of 426 and u?
2982
Suppose -2*g - 5*i = -56, 5*g - 6*g - 4*i + 22 = 0. Calculate the lowest common multiple of 6 and g.
114
Let h = -43 - -45. Let w be 1*-6*(-9)/6. What is the smallest common multip