484
Let m = 11208/55 + -805/11. Let o = -4/167287 - -731211617/5855045. Let p = m - o. Calculate the common denominator of 29/4 and p.
28
Suppose 9*j = 8*j + 2. Suppose -j*d + 4*d - 6 = 0. What is the smallest common multiple of 22 and d?
66
Let f = -4407 - -110199/25. Find the common denominator of 33/10 and f.
50
Let u = -15 - -19. Suppose -5*a = r - 12, -3*r = -u*r - 3. Calculate the lowest common multiple of a and 6.
6
Let g be (-6)/(-12)*(0 - 0). Suppose g = -3*z - 6, r + 0*r + z = 30. What is the common denominator of -125/6 and -3 - ((-100)/r + -3)?
24
Let y = -1051 - -1300. Calculate the least common multiple of 12 and y.
996
Suppose 3*b - 12 = -0*b. Let o be 1011/21 - 1/7. Suppose -22 = -10*z + o. Calculate the smallest common multiple of z and b.
28
Suppose 0 = j - 220 + 134. Calculate the least common multiple of 11 and j.
946
What is the least common multiple of 12/9*(-3)/(-2) and (8/(-10))/((-24)/60)?
2
Let t(l) = -l**3 + 6*l**2 - 11*l + 8. Suppose -4*g = -g - 12. Let p be t(g). Let w(k) = 2*k**2 + 5*k + 8. What is the least common multiple of 24 and w(p)?
120
Let b = 2699/8 + -336. What is the common denominator of -43/4 and b?
8
Suppose -b + 2*b + 5 = h, -5*b - 3*h = -15. Suppose -3*d + 92 = -4*i, 2*d - 68 = -b*d + i. What is the smallest common multiple of 24 and d?
72
Suppose 0 = 99*a - 597 - 591. Let n(i) = 2*i + 1. Let s be n(2). Calculate the least common multiple of a and s/(-2)*(2 - 6).
60
Let y = -2158 + 4837. Let c = 1797424/7 - 254088. Let d = y - c. Calculate the common denominator of d and 54/7.
7
Let g = -1384015506/9275 - -149220. Let t = g - -584517/296800. What is the common denominator of t and 1/4?
32
Suppose 0 = -t + 4*u + 4 + 16, 24 = 5*t - u. Calculate the smallest common multiple of 24 and t.
24
Let y = -601509/44 - -13670. What is the common denominator of y and 51/77?
308
Let h = -2171 + 30419/14. Calculate the common denominator of h and (44/(-8))/((-56)/(-40)).
14
Suppose -h - 4*p = -38 + 22, -5*h = -3*p - 80. Suppose -2*l + 55 + 57 = 0. What is the least common multiple of h and l?
112
Suppose 0 = 3*m + 2489 + 2422. Let q be 3 + 4/(-4) + 13089/(-8). Let d = q - m. Find the common denominator of d and -101/8.
8
Let l = -15399/2 - -8137. Let y = 474 - l. What is the common denominator of -109/18 and y?
18
Let z = -3249 + 107251/33. What is the common denominator of -14/121 and z?
363
Suppose 4*k - y + 19 = -38, 5*k + 5*y = -65. Let t = -5 - k. Calculate the smallest common multiple of 33 and t.
99
Let q(d) = 2*d**2 + 8*d + 28. Let v(j) = -5*j. What is the lowest common multiple of v(-2) and q(-3)?
110
Let n = -56761/20 - -2837. Calculate the common denominator of 41/288 and n.
1440
Let s(m) = 14*m**2 - 4*m - 5. Let t be s(-2). Calculate the common denominator of 3/5 and (175/t - 3)/((-1)/(-10)).
295
Let v(c) = c + 7. Let o be v(5). Suppose -4*t = o, -5*t = -4*h + 3*h + 20. Let b = -23 + 27. What is the lowest common multiple of h and b?
20
Suppose 4*h + 5*r = 508, -h + 6*h + 4*r - 644 = 0. Calculate the common denominator of 3/26 and (3 - (-510)/h) + -4.
286
Let r = 12 - 9. What is the lowest common multiple of 5 and r + 4/8*-4?
5
Let d(r) = r + 1. Let o = -128 - -133. What is the lowest common multiple of o and d(6)?
35
Let j(p) = 3*p - 20. Let c be j(9). Find the common denominator of (-2)/c + 1719/(-84) and 4/(-10) + (-818)/(-20).
4
Let b = 32 - 44. Calculate the smallest common multiple of 11 and (b/(-5))/((-6)/(-15)).
66
What is the common denominator of (8/12)/((-44)/(-104) + -1) and -187/90?
90
Suppose -3*x + 113 + 217 = 0. What is the smallest common multiple of 10 and x?
110
Suppose 3*f = -9, -3*b + f - 117 = 2*b. Find the common denominator of 0 - ((-190)/b + (3 - 1)) and -163/30.
60
Let q = -4167/2 - -2081. Calculate the common denominator of q and (-186)/(-50)*(-3)/6.
50
Let g be (-4)/14 + 6360/14. Let x = 184 - g. Let q = x + 557/2. Find the common denominator of 67/2 and q.
2
Let q = 67 - 64. Suppose 0 = -q*i - h + 111, -6*i + 3*i = -4*h - 96. Calculate the lowest common multiple of 20 and i.
180
Suppose 3*h + 2*x + 0*x = 26, 4*h - 4*x - 48 = 0. Let m be 6/h - 13/5. What is the common denominator of ((-810)/400)/((-1)/m) and 51/14?
140
Let x be 8 + -8 + 2 + 57/(-2). Let l = x + -4. What is the common denominator of (-27)/22 - (0 - 0) and l?
22
Let y(n) = -4*n**2 + 57*n + 19. Calculate the least common multiple of y(14) and 54.
594
Suppose 13*f = 12*f + 15. Let b(i) = i**3 - 4*i**2 - 8*i + 3. What is the least common multiple of b(6) and f?
135
Let n = -6 - -10. Let u be 18/4 + 12/24. Suppose -u*o = q + 2*q - 18, 2*o = 2*q + n. What is the smallest common multiple of 4 and o?
12
Let n be ((-5)/(-2))/(2/4). Suppose -5*f = 20, -n*m + 174 = f - 22. Find the common denominator of -1 - 0 - m/70 and -123/10.
70
Let d(n) = -12*n**2 - 61*n - 3. Calculate the smallest common multiple of 148 and d(-5).
148
Suppose 0 = 72*h - 615 + 39. What is the least common multiple of h and 306?
1224
Suppose 0 = -2*u + 5*c - 6 + 10, 0 = -3*c - 0*c. Let r(b) = 2*b**2 + 2. What is the smallest common multiple of u and r(-2)?
10
Calculate the common denominator of -55/54 and (-1)/4 + (-9891)/(-6804).
54
Let n = 6348591/133 + -47733. Let k = n + -7772/1463. Find the common denominator of k and -14.
11
Let b(v) = v**2 - 6*v + 11. Suppose 5*i + 3*t = 200, -2*i + 7*i + 4*t = 205. Let m = 53 - i. Calculate the smallest common multiple of b(6) and m.
176
Calculate the common denominator of -155/132 and 102/(-54) - (-8)/36.
132
Let z(v) = 6*v - 10. What is the smallest common multiple of z(4) and 32?
224
Let m be (-1)/2*4*-6. Find the common denominator of ((-22)/(-16))/(m/(-16)) and 10/8 - 5/40.
24
Let t be 5 + -3 - 6/(-2). Suppose t*r = d + 4, 3*d - 8*d = 4*r + 20. What is the common denominator of -22/3 and (14/(-5) - d)*3?
15
Let x be 4/(-20)*0 - -5. Suppose 0 = -4*g + x*g - 8. What is the smallest common multiple of 20 and g?
40
Let q = -70839/10 - -7095. Find the common denominator of 25/42 and q.
210
Let i = 51 + -43. Let l(k) = 23*k + 51. What is the least common multiple of i and l(-2)?
40
Let v(p) = 3*p + 191. What is the lowest common multiple of 20 and v(-49)?
220
What is the smallest common multiple of 36 and (60/90)/((-2)/(-24))?
72
Suppose 0 = v - 3*k - 15052, 3*v - 45140 = 4*k - 3*k. Let u = 1246830/71 + -74086267/2272. Let c = v + u. Find the common denominator of c and -81/4.
32
Let w = -5/41 + -2727/164. Calculate the common denominator of w and -4 + ((-762)/20)/(-3 - 0).
20
Let m = 2/34799 - -2053081/1043970. Calculate the common denominator of m and 133/30.
30
Suppose 19 = k + 3*h - 2, 3*h = 3. Suppose 8 = y + 2. Calculate the least common multiple of y and k.
18
Let p = -519927/104 + 4999. Find the common denominator of p and 31/2.
104
Let z(v) = v**3 - v**2 - 7*v - 5. Let n be z(-5). Let k be (-10)/(0 - 5 - -3). Calculate the lowest common multiple of 9 and ((-3)/6)/(k/n).
36
Let l be (-5)/10 + 148/16*2. Let k = 3 + l. Calculate the least common multiple of k and 6.
42
Suppose 0 = 5*o - d + 8, 2*o - 2*d = -o - 9. Let w = 13 + o. What is the lowest common multiple of 68 and w?
204
Let d = -39 - -289/7. Calculate the common denominator of d and -16/31.
217
Let y(s) = -3*s**2 - 5*s + 1. Let m be y(-4). Let x be (m/12)/((-9)/24). Let k = 16 + x. Calculate the least common multiple of 10 and k.
110
Let o(h) = 2*h**2 - 45*h + 22. Let f be o(22). Suppose -5*u + 35 + 45 = f. Suppose 12 + 60 = 4*w. Calculate the least common multiple of u and w.
144
Let r = 390083/95359 - -2/8669. Calculate the common denominator of r and -3/7.
77
Let y be 186*((-12)/(-4))/(-9). Let f = y + 71. Calculate the least common multiple of f and 17.
153
Suppose -39*i + 4*i + 2310 = 0. Calculate the least common multiple of 4 and i.
132
What is the common denominator of (-361)/45 - (-468)/585 and 41/23?
207
Suppose 0*f + 5*f = 20. Let y(w) = f + 4 - 11*w + 10*w. What is the lowest common multiple of y(5) and 6?
6
Let f be (6/(-10))/((-7)/665). Let h = 70 - f. Calculate the least common multiple of h and 10.
130
Let m(c) = 70*c + 76. Calculate the lowest common multiple of 72 and m(2).
216
Let f be ((-213)/2 - 7/(-14)) + -2. Find the common denominator of (145/f)/((-2)/(-6)) and 73/4.
36
Suppose 21*l - 20*l + 198 = 0. Calculate the