 common multiple of f and g?
1
Let u(q) = q**2 + 5*q. Let f be u(-5). Suppose 17*x + 11 = -6. What is the least common multiple of 2 and (f - x)*(-2 + 7)?
10
Let r be (-4 - 4234/(-6)) + 4. Let f = -712 + r. Find the common denominator of f and 38/7.
21
Let z = -12536 - -2431955/194. Calculate the common denominator of -53/22 and z.
2134
Suppose -3*k - k = -28. Suppose k*i - 2 = 5. Calculate the lowest common multiple of i and 6.
6
Let b(n) = 6*n**2 + 3*n + 1. Calculate the smallest common multiple of b(1) and 698.
3490
Let j be -1 + 3/(6/(-121798)). Let z be (-421058)/j + 2 + -6. Let a = z + -162/725. Find the common denominator of a and 109/20.
420
Let x = -2052 - -215468/105. Calculate the common denominator of x and -81/14.
210
Let a = 29079 - 1570345/54. Calculate the common denominator of a and -23/42.
378
Suppose 3*v - 3*f = -0*f + 6, -2*f = -3*v + 10. Suppose -5*l + 16 = -19. Let i = l - 5. Calculate the smallest common multiple of i and v.
6
Suppose 3*l = d - 0*d - 11, -4*l = 3*d + 6. Suppose d*b - 3*u - 17 = 0, 2*b - 2*u - 7 = 3*u. Calculate the lowest common multiple of 26 and b.
208
Suppose 2*l = 2*q - 28, -q - 4*l - l + 38 = 0. Let k = -27 - -41. Calculate the least common multiple of k and q.
126
What is the common denominator of -5 - (6/(-15))/((-4)/(-79)) and -41/32?
160
Let q = 1265822759261/2154 + -587661425. Let w = q - -15/359. What is the common denominator of w and (-2 - 4)*(-66)/(-27)?
6
Let g(h) = -h**2 - 8*h - 7. Let x = 172 - 123. Let f = -48 + x. Calculate the least common multiple of g(-6) and f.
5
What is the lowest common multiple of -5 + 8/(56/(-7))*-9 and 22?
44
Let m be 213842/(-12) + 0 - (-1)/6. Let o = -374293/21 - m. What is the common denominator of 68/9 and o?
63
Let p = 4196 + -4189. Suppose -2*s + 33 = 3. Calculate the least common multiple of p and s.
105
Let d be (2348556/64)/7 + -1. Let j = -5236 + d. Calculate the common denominator of -77/10 and j.
80
Let u = -77697127/408 + 190434. Calculate the common denominator of u and 61/16.
816
Suppose 5*r = 10, 3*r = 6*a - 4*a - 26. Calculate the lowest common multiple of 110/14 - 1/(-7) and (-14)/49 - a/(-7).
8
Let n = 15 - 40. Let l = n + 29. What is the least common multiple of l and 16?
16
Suppose -2*k - 8 + 20 = 0. What is the smallest common multiple of 1909/115 + -17 - (-794)/10 and k?
474
Suppose -3*i + i = -1712. Let x be i*(215/10 + -2). Let a = x - 333917/20. What is the common denominator of a and 107/20?
20
Let p(h) = -h**2 + 11*h - 8. What is the smallest common multiple of p(9) and 26?
130
Let x = -1/3840 + 66569/34560. What is the common denominator of x and -43/63?
189
Let q(y) = y**3 - 2*y**2 - y + 3. Let w be q(0). Suppose -w*k + 4 = -2*k. Calculate the common denominator of (-122)/(-28) + (-4)/k and -103/20.
140
Let f(t) = -t**3 + 21*t**2 + 49*t - 98. What is the lowest common multiple of f(22) and 6?
1488
Let m = -9 + 4. What is the smallest common multiple of 642/30 + 3 - (-2)/m and 18?
72
Let j = -13/79 - 8969/1185. Let b = j + 1649/210. What is the common denominator of b and 17/24?
168
Let t(f) = f - 11. Let o be t(3). What is the common denominator of 2/5 + (-366)/40 and 16/72*906/o?
12
Let p be (3 + -1)/(63/2184). Let q = p + -60. What is the common denominator of -73/6 and q?
6
Let r be (-4)/(-14) + 38768/112. Let v = r - 341. What is the common denominator of (-8)/12*(-29)/4 and v?
42
Suppose 2*p - 12 = -2*c, 2*c - p + 2*p - 11 = 0. Suppose 3*q + c*y - 30 = -2*q, 3*q + 4*y - 17 = 0. Calculate the smallest common multiple of q and 58.
406
Let i(a) = a + 1. Suppose -5*y + 20 - 5 = 0. Let v be i(y). Suppose -7 = -v*t + 13. Calculate the lowest common multiple of 1 and t.
5
Let w be -7 + 3 - -3 - 4. What is the common denominator of 55/(-21) + (-2)/(-3) and -1 - 2 - 17/w?
105
Suppose -4*f + 195 = 3*s - 0*f, -260 = -4*s + 4*f. Suppose -3*r + i + s = 0, 35 = 2*r - 0*r + i. What is the lowest common multiple of r and 2?
20
Find the common denominator of 67/306 and (36778/7820)/(-7) + 4/(-46).
1530
Let a be ((-6)/471)/(6/14365). Let r = a + -1/942. What is the common denominator of -83/12 and r?
12
Let t = -1 - -2. Let q be 0 - (-3)/(-4 - -3). Let x(s) = -s**3 - s**2 + 2*s - 2. Calculate the least common multiple of t and x(q).
10
Let k = -366017/30 + 12198. Find the common denominator of k and -43/90.
90
Let r be (-12)/(4/(-1)) + -3. Suppose r = 2*t - q + 6*q, -3*q = 0. Calculate the lowest common multiple of (-2)/(-1) - t/4 and 3.
6
Let b = 56 - 38. Suppose 7*p - 4*p - 42 = 0. What is the smallest common multiple of b and p?
126
Let u(n) = 71*n + 27. Let o be u(-7). Let q = -58458/5 + 425531/35. Let t = o + q. What is the common denominator of t and -39/2?
14
Let s = -149453/100770 + -3/13436. What is the common denominator of s and 3/2?
60
Let c = 18 + -23. Let y = c - -19. What is the lowest common multiple of y and 8?
56
Suppose 5*g + 5 = i + 3*i, g - 23 = -4*i. Calculate the least common multiple of i and 15.
15
Let c = -36 - -38. Suppose c*r + 2*g - 18 = 0, -3*r + 2*r = -4*g - 29. Calculate the smallest common multiple of r and 9.
117
Let h(w) = -w**3 + 12*w**2 + 14*w - 11. Let r be h(13). Suppose 0 = 4*x - r*x + 2872. Let g = 22983/16 + x. Find the common denominator of -21/8 and g.
16
Let y(i) = 3*i**2 - 85*i + 66. What is the lowest common multiple of y(28) and 2?
38
Suppose -s = -26 + 29. Calculate the common denominator of (10/(-25))/((24/(-5))/s) and 31/5.
20
Suppose r - 5*o = 49, 77*r + o = 75*r + 76. Calculate the smallest common multiple of r and 312.
312
Suppose -1 = 2*b - 3*b. Let c(g) = -5128*g**3 - g**2 + g. Let w be c(b). Let n = 51181/10 + w. What is the common denominator of n and 51/22?
110
Let v = 2 - 8. What is the common denominator of 4/v - (-618)/(-180) and (-1)/6 - 163/(-15)?
10
Suppose 112 = 5*t - 68. Find the common denominator of 11/16 and 1155/t*(-3)/(-10).
16
Find the common denominator of -113/36 and (-40)/(-84)*40/(-48).
252
Suppose -24 = 4*i - 0*i. What is the common denominator of 4/17 and ((-2)/(-24))/(i/495)?
136
Suppose -7224 = -6*z - 6*z. Let g = -227329/14 + 16230. What is the common denominator of (10/(-36))/(z/609 + -1) and g?
42
Suppose -5*m + 3*c + 16 = 0, -3*m = -4*c - 123 + 109. Let d(h) = 7*h**2 - 2*h + 1. Calculate the smallest common multiple of d(1) and m.
6
Let z(m) = -9*m**3 + 1. Let b be z(-1). Let d = b + -6. Calculate the least common multiple of 22 - 1/((-1)/(-2)) and d.
20
Let y = -17273/14 - -1235. Let j = -2/1237 - -132371/7422. Find the common denominator of j and y.
42
Let v = 4734 - 170405/36. Find the common denominator of -85/36 and v.
36
Suppose -150 + 22 = -2*h. Suppose -h = -4*x + 60. Let d = x + -19. What is the lowest common multiple of 2 and d?
12
Let q be (-230)/(-6) + 10/(-30). Find the common denominator of 47/9 and (1*10/(-6))/(16/q).
72
Let o(x) = -x**2 + 6*x - 11. Let d be o(5). Let w = 20 + d. Let l = -1 - -3. What is the least common multiple of w and l?
14
Suppose -2*f + 4*m + 40 = 0, -4*f - 3*m - 100 = -8*f. Calculate the least common multiple of 96 and f.
672
Suppose 4*p = -0*p + 48. Suppose 3*l - p = 4*d + 106, -5*d = 4*l - 178. What is the least common multiple of 4 and l?
84
Let r be 5 + -5 - 1*174. Calculate the common denominator of 8/32 + (-89)/(-8) and (r/28 - -2)*(8 + -9).
56
Let g(c) = 6*c + 5 - 38*c**3 + 74*c**3 - 6*c**2 - 35*c**3. Calculate the smallest common multiple of 6 and g(5).
30
Let x = 443/14 + 104/7. Suppose -1 = -2*f + 1. Find the common denominator of (14/f)/((-60)/9) and x.
10
Let f = 16295/2 - 8704. Let n = f - -539. Let t = 1901 + -30335/16. What is the common denominator of n and t?
16
Suppose -v = 3*i + 11 + 1, -3*i - 12 = -4*v. Let a be (16/4)/i + 6. Suppose -4*l - 4 = j, a*j - 6 = 3*l + 20. Calculate the lowest common multiple of 12 and j.
12
Let c = 10914/5 - 2172. Calculate the common denominator of -85/338 and c.
1690
Let w(p) = -16*p + 17. Let s be w(7). Calculate the common denominator of 55/6 and s/4 + 2/8.
6
Let d = -56 + 140. What is the common denominator of 1 - (808/d - 4/14) and -47/4?
12
Suppose 3*c + 2*c - 85 = 0. Suppose -3 - c = -d. Suppose -5*a = -32 - 8. Calculate the lowest common multiple of d and a.
40
Let d = 15237/4472 - 18/559. What is the common denominator of -1 - (30/(-11))/1 and d?
88
Calculate