 Calculate the common denominator of 81/10 and x.
30
Suppose -4*n + 951 = 475. What is the smallest common multiple of n and 289?
2023
Let s = 77511919/108 + -2872771/4. Let d = s + 2929/6. Find the common denominator of -64/9 and d.
27
Let i(o) = 21*o**3 - 7*o**2 + 2*o - 3. Let t be i(5). Let y = 14641/6 - t. Find the common denominator of 3/14 and y.
42
Let t = 991 + -471. Calculate the lowest common multiple of 20 and t.
520
Suppose 144 = 6*w - 15*w. What is the common denominator of 1/18 and (6/(-9))/(w/1116)?
18
Let o(b) = b**2 - 1. Let j be o(2). Suppose 0 = -j*t + 10 - 1. What is the least common multiple of t and (0 - -3) + -7 - -7 - 0?
3
Let y(i) = 13*i**2 + 3*i + 4. Let x be y(-4). Let z = 211 - x. Suppose -u - 5 = 2*g, -5*u + 4*g = -12 - 5. What is the lowest common multiple of u and z?
11
Let h = -47 + 49. Suppose -h*z - 2*v + 34 = -0*v, -2*v - 2 = -z. Calculate the lowest common multiple of 10 and z.
60
Suppose -75 + 575 = 10*w. What is the least common multiple of 100 and w?
100
Let q = 3170 + -9625/3. Let z = 961/30 + q. Let s = 79/5 + z. Calculate the common denominator of s and 13/9.
18
Let j be (22/723)/((-3)/(81/18)). Let q = 8336/2169 - j. Find the common denominator of q and -75/2.
18
Let p = -14323 + 429869/30. Let b = 4207/78 + -582/13. Calculate the common denominator of p and b.
30
Let v = 599819/36 - 16663. Find the common denominator of -65/36 and v.
36
Let b = -839 - -930. Calculate the least common multiple of b and 35.
455
Let z = 5199 - 12496. Let p = -386763/53 - z. Calculate the common denominator of 11 and p.
53
Calculate the smallest common multiple of (26/16)/(-13) + (-49)/(-8) and 62.
186
Let h(m) be the third derivative of m**5/60 + m**4/4 - 2*m**3/3 + 11*m**2. Let i be h(-6). Calculate the common denominator of -27/8 and -1 + ((-780)/9)/i.
24
Suppose -51 + 27 = 4*x. What is the least common multiple of 4 and (-62)/x + (-4 - 14/(-3))?
44
What is the smallest common multiple of (-18)/(-4)*((-138)/(-9))/23 and 21?
21
Let i = 41 - 45. Calculate the smallest common multiple of 3/6*39 + (-6)/i and 12.
84
Suppose 4*g + 3*z - 10 = 0, 4*g - 3 - 11 = -z. Suppose -4*x + 19 + 37 = 0. What is the smallest common multiple of g and x?
28
Let a = 7218/50983 - 14550378073/2039320. Let v = a + 7134. Calculate the common denominator of v and -113/20.
40
What is the least common multiple of (-6)/(-2) - (0 - (-99)/(-1)) and 36?
612
Let s = 28 - 1. What is the lowest common multiple of s and 183?
1647
Let k = -34/3 - -16. What is the common denominator of 32/155 and k?
465
Suppose 2 = 2*w - 14. Suppose -z - 3*o + 5 = 0, 4*z + o = -2 + 33. Suppose 0 = 2*n + z, i - n + 8 = 4*i. Calculate the least common multiple of i and w.
8
Calculate the common denominator of 27/35 and (-12)/170*(-363)/297.
1785
Let b be -26*((-12)/(-3) - 5). Suppose 82 = 4*w + b. Calculate the smallest common multiple of w and 12.
84
Let c = 2271 - -487. Let u = c - 16657/6. Calculate the common denominator of u and 19/12.
12
Let s = 86665/16 + -5420. Calculate the common denominator of s and -35/128.
128
Let q(i) = -i**2 - 7*i - 1. Let s be q(-6). Suppose s*o + 6 = 2*z - z, -4 = -4*o. Let c = 5015 + -5005. What is the lowest common multiple of c and z?
110
Let v(q) = -5*q**2 - 9*q + 6. Let s(j) = -j**2 - j + 1. Let f(a) = -4*s(a) + v(a). What is the least common multiple of 11 and f(-5)?
22
Suppose -2*x + 100 = 3*x. Let n be (12/8)/3*x. Suppose -20 = -n*q + 9*q. Calculate the smallest common multiple of 4 and q.
20
Let l(w) = -w**2 - 12*w - 7. Let r be l(-11). Suppose 2*h + 5*b = 42, 2*h = 3*b + r + 6. Calculate the lowest common multiple of h and 34.
374
Let k(y) = -34*y - 46. What is the lowest common multiple of 16 and k(-14)?
3440
Let i(q) = -q**3 - q + 1. Let k be i(2). Let f be ((-346)/k)/(5/(-120)). Let b = -16649/18 - f. Calculate the common denominator of b and -55/16.
144
Suppose -81 = -4*n + 7. What is the common denominator of -1 + 26/n - (-3084)/(-2200) and 21/10?
50
Suppose -n = -9 - 2. Suppose 2*a + 9 = 153. What is the lowest common multiple of n and a?
792
What is the common denominator of 6*5/((-50)/1) and -11/90?
90
Suppose 17 - 97 = -4*a. Calculate the common denominator of (-5)/2*(-1196)/975 and a/72*(-2 + -8).
45
What is the common denominator of -55*(-12)/30*(-3)/10 and -31/112?
560
Let u(o) = 3*o. Let d = -2 - -4. Let n = -107 + 118. Calculate the lowest common multiple of u(d) and n.
66
Let t = 714/29 - 2167/174. Calculate the common denominator of t and 2/8*(-402)/(-57).
114
Suppose 3*k = -5 - 7. What is the smallest common multiple of k - 18*(-3)/6 and 2?
10
Let o = -480 - -1957/4. Suppose -4*g = -k - 8*g + 6, -4*k + 4*g = -4. Calculate the common denominator of o and 5 - 2/k - (-265)/(-45).
36
Let v = 645 - 605. What is the smallest common multiple of 72 and v?
360
Let a = -795 - -800. Calculate the smallest common multiple of a and 48.
240
Let x = 12904 + -18659173/1446. Find the common denominator of x and 27/16.
11568
Suppose -3*j - 2*j = -225. Calculate the least common multiple of 10 and j.
90
Suppose -4*y - 10*f + 15*f = -9, 3*y + 5*f = -2. Let c(q) = q**2 - 8*q + 5. Suppose 0 = -k + 2*k - 8. Calculate the lowest common multiple of c(k) and y.
5
Suppose 43 = -3*t - 2*x + 9, 3*x = 5*t + 63. Let s = t + 17. Calculate the smallest common multiple of 2/5 + 32/20 and s.
10
Let g = 16130822/8964825 + 200/15591. Let q = g - 54/25. Let k = q + 499/46. Calculate the common denominator of k and -5.
2
Find the common denominator of 1 + (-34)/80*2 and -5 + 6 + ((-399)/8)/(-7).
40
Let v = -80/101 + 641/3232. What is the common denominator of 27/2 and v?
32
Let z(t) = 5*t + 15. Let s be z(-5). Let k = s + 21. Calculate the least common multiple of k and 2.
22
Suppose d - 13 - 5 = 0. What is the least common multiple of 8 and d?
72
Let w be 6/(-2)*(-4 - -2). Suppose w*j = 145 + 203. Find the common denominator of -27 and j/(-20) + 4/4.
10
Let c = 1 - -2. Calculate the lowest common multiple of c and 4.
12
What is the common denominator of ((-308)/(-11))/((-108)/8) and 20/117?
351
Find the common denominator of (-5 + 1413/540)*(-10)/12 and -125/54.
216
Suppose -2*u = 2*u - 88. Suppose -4*j - 5 + 93 = 0. What is the least common multiple of u and j?
22
Let z = -24 + 42. Suppose 0 = z*s - 15*s - 6. Suppose j + 3 = 2*j. What is the least common multiple of s and j?
6
Let w = 604/3 - 197. Suppose 7*d + 181 + 8 = 0. Calculate the common denominator of w and ((-212)/18)/((-18)/d).
3
Let q be -4 - ((-2)/6 - 59824/(-12)). Let x = -109657/22 - q. Let v = 271363/22 - 12337. What is the common denominator of x and v?
22
Suppose 5*f - 2*i = -5*i + 53, 3*f - 4*i - 26 = 0. What is the common denominator of (f/15)/((-4)/(-107)) and (-78)/(-28)*5/15?
42
Let f(c) be the third derivative of c**2 - 5/12*c**4 + 0*c - 1/6*c**5 - 1/3*c**3 + 0 - 1/120*c**6. What is the lowest common multiple of 11 and f(-9)?
77
Let h = 16/293 + -8087/3223. Calculate the common denominator of h and ((3/4)/3)/(102/3808).
33
Let n(o) = 6*o**2 + o - 12. What is the lowest common multiple of n(2) and 706?
4942
Let c = 43/2 - 38. Calculate the common denominator of c and -139/2550.
2550
Let x = 1555 - 3207/2. Let q = 12235/1899 - -1/633. Calculate the common denominator of q and x.
18
Suppose -b = -6*q + 3*q - 42, 2*q = -b + 47. What is the lowest common multiple of b and 10?
90
Let y(i) = i**2 - i - 17. Suppose -4*q = 5*l - 7 - 33, -29 = -5*q - l. Calculate the smallest common multiple of 33 and y(q).
33
Let d = -493/2310 - -8/35. Let b = -148/33 - d. Find the common denominator of 11/126 and b.
126
Let d = 22 + -10. Suppose 3*r - y = 3*y - 82, y + 51 = -2*r. Let k = -24 - r. Calculate the least common multiple of d and k.
12
Suppose 7*h = 5*h - 3*z + 117, -4*z = 5*h - 289. Calculate the least common multiple of 108 and h.
2052
Let d(n) = n**2 - 2*n + 1. Let c be d(1). What is the common denominator of c/4 + 94/14 and 96/28 + -3 + 372/14?
7
Let v = -48842/65 + -450951/52. Let o = 9429 + v. Let d = 9337/263 - 1/526. Calculate the common denominator of o and d.
20
Let z(d) = d**2 + 2*d + 1. Let x be z(-3). Suppose 3*p + 4 = -x*q + 48, -3*q + 3*p = -12. What is the smallest common multiple of q and 8?
8
Let p = 1978531/120 + -16488. Find the common denominator of -113/24 and p.
120