24
Let a = 46385/16 + -2900. Let p = 2/244065 - -14399611/27335280. Calculate the common denominator of a and p.
112
Suppose -t - t - 22 = -4*q, -5*q - 4*t + 21 = 0. Suppose 0 = -2*n + i + 27, -q*i - 9 = -n. Calculate the smallest common multiple of n and 20.
140
Let u = -1688/9 + 18856/99. Let t(s) = 2*s**3 - 4*s**2 - 2*s - 8. Let w be t(4). What is the common denominator of (2/(-42))/((-2)/w) and u?
77
Suppose 0 = 6*x + x - 84. Suppose -4*m = -x*m + 32. What is the least common multiple of 23 and m?
92
Let q be 4*(-2 + (-12)/(-8)). Let k be (-7 + q)*99995/(-120). Let r = -7510 + k. What is the common denominator of 89/2 and r?
8
Let a(r) = -r**2 - 7*r + 17. Let f be a(-9). What is the common denominator of 79/22 and 187/42 + f/(-3)?
154
Let z = 1983 + -1981. Suppose -i = -2*i + 112. Calculate the common denominator of -55/2 and z/(-8) + (-91)/i.
16
Suppose 0 = 4*c + 189 + 183. Let z = -65 - c. Find the common denominator of ((-7)/z)/(2/180) and -41/4.
4
Let h = 3239741/772380 + -1/21455. Find the common denominator of -79/90 and h.
180
Suppose 4*l - 24 = -2*j - 2*j, 24 = 4*l - 2*j. Calculate the common denominator of ((-84)/25)/(l - (-342)/(-60)) and ((-45)/21 + 2)*-48.
35
Let z = -328 + 29507/90. Find the common denominator of -7/48 and z.
720
Let u = 777710992426/40575567867 - -140/8834219. Let f = -1/3062 + u. Let v = 204 - 1231/6. Calculate the common denominator of v and f.
6
Let r = 6 - 10. Let l be 502842/(-288) - r/6. Let n = 1741 + l. Find the common denominator of 43/12 and n.
48
Suppose -v - 4*g + 34 = 0, 2*v - 47 = 2*g - 3*g. Let u = v - 14. Let f(t) = 7*t**2 - 1. Calculate the least common multiple of u and f(1).
24
Suppose -3*w = 4*q + 62, 2*q - 23 = 2*w + q. Let p be 117/21 - (-8)/w. Suppose -p*b = -s - 65, b + s - 2*s = 9. What is the least common multiple of 10 and b?
70
Let j(y) = -8*y**3 - y**2 - y + 2. What is the lowest common multiple of 132 and j(-1)?
660
Let s be (-6)/(-9057)*2/4. Let g = 10249185324123/15095 + -678978813. Let n = s + g. Calculate the common denominator of n and 2/11.
55
Let j be ((-8)/6)/((-66)/52209). Let s = -1053 + j. What is the common denominator of 8/11 and s?
11
Let l = 6 - 1. Let r(f) = 12*f - 3. Let h be r(2). Let g = h + -12. What is the smallest common multiple of l and g?
45
Calculate the lowest common multiple of 8 and 4866/45 - (-28)/(-210).
216
Let v(i) = -41*i - 13 - 34*i + 77*i. What is the smallest common multiple of 55 and v(8)?
165
Let k = 23869/6 - 3968. Find the common denominator of k and 39/2 - 3/12.
12
Let w = 199579/12 - 16622. Let n = -698 - 458. Let s = n - -3509/3. Find the common denominator of s and w.
12
Suppose -19 = g + 4*f, -3*f - 2 = -f. Let p be (-57)/g*(-5)/(-1). Suppose 0 = 6*s - 5*s - p. Calculate the least common multiple of s and 6.
114
Let f be (-1)/1 + 0 - -3. Let a be (f/4)/(7/(-3766)). Find the common denominator of -61/14 and (-2)/(-7) - a/112.
112
Let v = 656 - 3566. Let x = v + 0. Calculate the common denominator of -7/8 and ((x/(-9))/(-5))/8.
24
Let z be ((-212)/180)/(4/(-50)). Let m = z + -35/9. What is the common denominator of 19/18 and m?
18
Let b = -487 - -503. Calculate the least common multiple of 88 and b.
176
Let t = 408103/590040 + 1/73755. What is the common denominator of 97/16 and t?
240
Let z(f) = -f**2 - 17*f + 28. Suppose g - 14*g = -182. What is the lowest common multiple of g and z(-16)?
308
Suppose -y + 24 + 21 = 5*a, -4*a + y = -27. What is the lowest common multiple of a and 96?
96
Let z = 252 - 244. What is the least common multiple of z and 60?
120
Let l = 389 + -281. What is the smallest common multiple of l and 45?
540
Let u = 3/11518 - -3386277/57590. Let y = 1072/15 - u. What is the common denominator of y and 19/3?
3
Suppose 40*k - 16 = 38*k - 5*c, -2*k + 2 = -2*c. What is the smallest common multiple of k and 27?
27
Suppose 3*y = 8*y - 6875. Calculate the common denominator of 51/4 and -3 - (y/(-10))/(-5).
4
Let m = -110 - -104. Calculate the smallest common multiple of 4 and 126/27*(-1)/(1/m).
28
Suppose -4*y = -2*y + 6. Let d be 2 - ((-6)/(-2) + y). Suppose -v = -d - 3. What is the least common multiple of v and 7?
35
Let p = -1005 + 5082/5. Find the common denominator of -46/5 and p.
5
Let u be 41594/83132 - 1/2. Let j = u + -234557/17814. What is the common denominator of 3 - 0 - (-25)/(-8) and j?
24
Let v(h) be the third derivative of h**5/20 + h**4/24 + 10*h**2. Calculate the smallest common multiple of v(1) and 2.
4
Let s = 32 - -18. Suppose i = 4*a - 2, -4*i - i = -5*a - s. What is the lowest common multiple of 16 and i?
112
Let c(v) = 4*v**2 - 48*v. Let j be c(12). Suppose j = -8*x + 62 + 2. What is the smallest common multiple of x and 14?
56
Let r be (26 + 2)/(-4) + -13. Let q = 7391/1386 - -13/231. Find the common denominator of q and ((-425)/r - 1)/(14/(-4)).
126
Let m be (-604)/7 - 8/(-28). What is the common denominator of 41/6 and (-3 + (-148)/(-48))*m?
6
Let j(t) = 2*t**2 + 7*t - 31. Let w be j(-6). Calculate the least common multiple of 44 and 1 - (-6 + w + -4).
132
Let y = -4404/107 + 5208220/126581. Let x = 100843/21294 + y. What is the common denominator of x and -47/30?
90
Let r(f) = f**3 + 8*f**2 + 12*f + 5. Let q be r(-6). Suppose q*i + 3*d = -2*d + 160, -2*i - 5*d + 70 = 0. What is the lowest common multiple of i and 7?
210
Let p = 1283698/1080245 + -446749860170017/1991971780. Let a = p + 224274. Let f = a - 111445/16596. Calculate the common denominator of f and -81/2.
18
Let p(j) = 5*j**2 + 4*j - 5. Let k be p(-4). Let l = 158 + -169. Let v = k + l. What is the least common multiple of v and 6?
48
Let c be (-1)/5*0 + -37. Let n = 55 + c. What is the least common multiple of 8 and n?
72
Suppose 3162 + 118 = y. What is the common denominator of 43/14 and (81/40 - 2)*y/96?
336
Let r(t) = -t**2 + 11. Suppose 35 = -2*z + 17. Let i be 1*(3 - z/(-3)). What is the smallest common multiple of 11 and r(i)?
11
Let r be (-3 - -1)*(-2)/4*-21. Let c(h) = h + 31. What is the lowest common multiple of c(r) and 7?
70
Let z be ((3 + (-132)/45)*-157286)/(-2). Let x = -5246 + z. What is the common denominator of 52/3 and x?
15
Let r = -24927/580 - -1416/29. Suppose -d = -2, 3*v - 262 - 162 = -5*d. Calculate the common denominator of v/(-128)*(-4)/1 and r.
80
Let r be 171/12*32/12. Let o = -34 + r. What is the lowest common multiple of o and 22?
44
Let s = -1388 - -1397. What is the smallest common multiple of 66 and s?
198
Let i = -44 - -45. Let u(b) = -b**3 + 6*b**2 - 4*b - 4. What is the smallest common multiple of u(3) and i?
11
Let n be (40/(-25))/(4/30). Let z = 4 - n. What is the least common multiple of z and (-24)/4*(0 + -1)?
48
Suppose 60 = 11*z + 5. Suppose i - 4*l + 2*l = 8, 4*i + z*l = 19. Calculate the smallest common multiple of 3 and i.
6
Let o = 11457 - 251951/22. What is the common denominator of o and 2*(2/13 - 385/(-624))?
264
Suppose 3*a + 4*g - 69 = 0, -5*a - 53 = -4*g - 168. Calculate the lowest common multiple of a and 7.
161
Suppose -3*z - 9 = -12*z. What is the lowest common multiple of z and 31?
31
Let g(c) = -c**3 - 8*c**2 + 7*c - 11. Let m be g(-9). Suppose 81 = 4*s - m. Calculate the least common multiple of s and 16.
176
Let g = -1093 + 15415/14. What is the common denominator of g and 107/10?
70
Let a(x) = -x**2 + 9*x + 4. Let h be a(8). Let f = h + -6. Suppose -2*o + 8 = -24. What is the smallest common multiple of f and o?
48
Let t(i) = i**2 + 9*i - 18. Suppose 9*f + 5*d = 4*f - 65, -f - 15 = 2*d. Calculate the least common multiple of 82 and t(f).
164
Calculate the smallest common multiple of (-945)/(-108) + (-6)/8 and 62.
248
Let m = -24484154/325 - -75336. What is the common denominator of 59/10 and m?
650
Let f = -1992065 + 21978537/11. Suppose -2*r - 29905 = -2*l + 7*l, 17942 = -3*l - r. Let o = f + l. Calculate the common denominator of o and 20/9.
99
Let o = -217/936 + -7/117. What is the common denominator of o and 5/2?
24
Let z = -483 - -13513/28. What is the common denominator of z and -107/28?
28
Let b = 6871/4 + -1699. Calculate the common denominator of b and 31/36.
36
Suppose -k - 129 = -4*q, -k - 1 = -0. What is the lowest common multiple of 6 and q?
96
Let o = -123 + -666. What is the common denominator of 61/10 and 1/(-3) + o/198?
110
Suppose 3*a - 50 + 29 = 0.