. Let p = 250 - o. Calculate the least common multiple of 9 and p.
9
Let u = 2055 + -32815/16. Calculate the common denominator of u and -115/1512.
3024
Let w = 26081297 + -521746673/20. Let v = w - -6038. What is the common denominator of -95/12 and v?
60
Let h = -23 + 17. Let c be (-9)/6*-8*(-10)/h. Let a = 27 - c. Calculate the least common multiple of 1 and a.
7
Let b = 84 - 52. Suppose -b*w = 11*w - 2279. Calculate the lowest common multiple of 4 and w.
212
Suppose 0 = -4*q - 153 + 897. Calculate the common denominator of -13/80 and (-3)/15*-10 + q/(-80).
80
Suppose 0 = -194*f + 90*f + 76960. Calculate the smallest common multiple of f and 8.
1480
Let q = 6816 + -462. Let r = -758438 - -7647833/10. Let o = q - r. What is the common denominator of o and 5/18?
90
Let h = 39751/7820 + -522/115. What is the common denominator of 46/17 and h?
68
Suppose 3*g - 2*n - 70 = 6*g, 3*g + 4*n = -80. Let h = g + 52. Calculate the common denominator of 73/4 and 1/h*(-5)/((-20)/632).
16
Let i(w) = -w**2 + 12*w + 1. Suppose -7*d = 12 - 96. Let j be i(d). Find the common denominator of 2 + j + ((-545)/(-50) - 6) and -49/5.
10
Suppose 0 = 4*h + 77 - 41. Let l be 2/(-6)*h - 340421/(-132). Let m = l + -10321/4. Find the common denominator of m and -19/30.
330
Let a be (-2500)/(-920) - (-6)/2. Let g = -3/92 - a. Find the common denominator of g and 15/4.
4
Let r be (1 + 2 - 4)*-19. Let s = 3 + r. Suppose 0 = -21*v + 269 + 25. What is the smallest common multiple of v and s?
154
Let r be (-2 + -168)*(-34 - 3). Calculate the common denominator of r/4500 - 8/(-36) and 69/80.
400
Let a(z) = -1759*z**3 + z**2 - 2*z - 2. Let o be a(2). Let j be o/(-18) - 0*4/(-24). Let d = -778 + j. Calculate the common denominator of d and 4/5.
45
Suppose 64*g - 60*g + 2700 = 0. Let x = -402 - g. What is the least common multiple of x and 1?
273
Find the common denominator of 7/36 and (-7)/1 + 4 - (4251/(-720) + 3).
720
Let w(n) = n**3 + 10*n**2 - 84*n + 142. Calculate the least common multiple of 39 and w(3).
273
Let i = 402 + -390. Let v = 3 + 0. Suppose -v*x + 50 = -4. What is the smallest common multiple of i and x?
36
Let n = 102874 - 511386650/4971. Let f = 117599/59652 + n. What is the common denominator of f and 11/36?
36
Let i = -39 + 69. Find the common denominator of (-7)/14 + i/7 and -38/9.
126
Suppose -x = 3*x - 4. Let n = 2943/2 - 1504. Calculate the common denominator of (x - 0 - (-217)/(-28)) + 2 and n.
4
Suppose -2*i - 3*l + 34 = 0, 25*l - 30 = 3*i + 16*l. Suppose 2*x = 4*o + 100, o + 73 = 2*x + 6*o. Calculate the least common multiple of i and x.
88
Let t = 57909/22265 - 4/4453. What is the common denominator of t and -14/649?
3245
Let v = 10013/5 - 2009. Calculate the common denominator of -69/752 and v.
3760
Suppose -2*n + 5*w = 420, -4*n - 1190 = w - 372. Let o = 307 + n. What is the least common multiple of 27 and o?
918
Let k = 259/6 - 7351/168. Find the common denominator of k and 61/324.
4536
Let s = -515 - -513. Calculate the common denominator of 43/232 and -2 - s - (-81)/2.
232
Let u be (-71896)/(-396) - 8/(-18). Suppose 0 = 7*r + 77 - u. Calculate the least common multiple of r and 50.
150
Let q = 59 - 37/2. Suppose 0 = -m - 4*p - 20, -3*p + 3 - 27 = 3*m. Calculate the common denominator of 3/(1 + m)*-32 and q.
2
Suppose 0 = g, 3*h + 4*g = -2*h. Suppose 2*x - 7 = p, 5*p = -2*x + 1 - h. Let f = 9 - p. Calculate the lowest common multiple of f and 8.
40
What is the common denominator of 29/2119 and 392/(-54)*516/(-98126)?
19071
Let q = -117637/18 - -6529. Let w(p) = -p + 35. Let b be w(43). Calculate the common denominator of (b + (-4081)/(-420))/((-6)/(-15)) and q.
72
Suppose 56 = 3*u + 2*m, 4*u + 2*m = -3155 + 3231. Calculate the smallest common multiple of 9574 and u.
95740
Suppose 0 = 15*w - 21*w + 12. Calculate the common denominator of -35 and w/21 - (-5992)/(-4263).
29
Suppose -3*x = x - 4. Suppose 4*n = -10*g + 28, g - 304 + 312 = 5*n. Calculate the least common multiple of n and (-2 - -2) + x + 6.
14
Suppose -11*y + 3264 - 481 = 0. Let z = y - 243. What is the least common multiple of 84 and z?
420
Let i be 495/25 - (5 + (-52)/10). Suppose -9*n = -i*n + 1518. What is the least common multiple of 5 and n?
690
Let n be ((-9)/(-2))/(72/96). Suppose -4*c + 117 = 3*i, -n*i + 144 = 5*c - 3*i. What is the lowest common multiple of c and 6?
54
Let c be (-28)/(-10) + 9/((-45)/4). What is the common denominator of (26/(-936))/(c/116) and 31/24?
72
Let i(f) = -2*f**3 - 3*f**2 - 2*f + 2. Let u(j) = -j**2 - 11*j - 12. Let l be u(-10). Suppose 27 = 2*v - 7. What is the lowest common multiple of i(l) and v?
170
Let t = 15509/3396 - 1/5660. What is the common denominator of (-2002)/195*(-5)/(-10) and t?
30
What is the smallest common multiple of 2919 and 2/(1/3 + 83/249)?
2919
Suppose 0 = 4*b + 4*s - 524, 13*b - 11*b - 261 = -3*s. Suppose 11*g - 110 - b = 0. What is the least common multiple of g and 18?
198
Suppose -10876*z = -10880*z + 72. Calculate the smallest common multiple of 516 and z.
1548
Let n = -19640 - -2572866/131. What is the common denominator of n and (-56)/504 - 628/18?
131
Let d = -2450 - -2571. What is the smallest common multiple of 121 and d?
121
Suppose 15*w = 12*w + 3*l + 15, 0 = -2*w + l + 17. What is the lowest common multiple of w and 2964?
2964
Let b = 31 - 6. Suppose 193 = 36*w + 151*w + 6. What is the least common multiple of b and w?
25
Let o(z) = -5*z - 40. Let n(l) = -7*l + 24. What is the lowest common multiple of o(-17) and n(-3)?
45
What is the common denominator of -35/473 and ((-100)/(-2150))/((-3)/30)?
473
Let o = -15035/117 - -1620/13. Calculate the common denominator of o and -25 + (-17 - 6958/(-154)).
99
Let b(k) = -17*k**2 - 547*k - 34. Let v(p) be the third derivative of p**4/24 + 4*p**3/3 - 3*p**2. Calculate the lowest common multiple of v(-6) and b(-32).
62
Let y = -33439 - -33455. What is the lowest common multiple of y and 752?
752
Let p = -634 - -850. Calculate the smallest common multiple of 18 and p.
216
Let p = 40 - 49. Let s be 4 + p + 1 - -7. Find the common denominator of 0 + (9/(-39))/(s/(-2)) and 9/5.
65
Let a = 273 - 257. Suppose a = 14*b - 68. What is the smallest common multiple of 14 + (-3)/((-6)/4) and b?
48
Let g(l) = -l**3 + 23*l**2 - l - 3. Let n be g(22). Calculate the common denominator of (-9)/(-6)*(-219)/n and 80/51.
102
Let y(d) be the third derivative of 23*d**5/60 + d**4/6 + d**3/6 - 23*d**2. Calculate the least common multiple of y(-1) and 348.
1740
Let w = -16577/16 - -1035. Find the common denominator of 1203/108 + (-2)/9 and w.
48
Suppose -5*i = -0*i - 15. Suppose i*o - 4*z = 128, -z - 41 = 3*o - 4*o. What is the common denominator of -17/3 and (-345)/o - 2/(-1)?
12
Let c = 28 + -20. Let v(t) = -t**3 - 10*t**2 + 23*t - 4. Let d be (-118)/10 - 14/70. Calculate the lowest common multiple of v(d) and c.
8
Let q be 1761/(-90) + (-2)/(-3). Let v be 2 + 328/(-40)*(0 - -2). Let j = q - v. What is the common denominator of j and 14/9?
18
Let x = 1491755255048749/5998189868847792 + -12921/1321471283. Let k = -1/72048 + x. What is the common denominator of k and -61/9?
189
Let r be ((-42)/35)/((-6)/(-11524)). Let t = r + 58271/20. Let k = t + -603. Calculate the common denominator of k and 73/12.
12
Suppose -25 = -6*v + 29. Let g(c) = -c**3 + 7*c**2 + 3. What is the smallest common multiple of g(-3) and v?
279
What is the common denominator of 5 + (14/4)/(504/(-1155)) and -2 + 9/(-140) + 20/(-70)?
240
Find the common denominator of 15/28 and -2*(52485/(-3360) - -16).
112
Let y = -643555/1288 - -3997/8. What is the common denominator of -67/644 and y?
644
Let r be (6 + 17)/(2*1/14). Find the common denominator of (18/12 - 2) + r/18 and 47/9.
9
Let h be ((-8)/52 - (-9)/(-26))*-6. Suppose -4*i + 36 = 4*t, t - h*i + 4 = 33. Calculate the least common multiple of t and 2.
14
Suppose 15*s = 4 + 11. Find the common denominator of ((-224)/12)/(-7)*s and -2 + -1 + (-41)/(-11).
33
Suppose -4345 = -227*w + 8*w - 1717. What is the least common multiple of 3324 and w?
3324
Calculate the common denominator of (-27)/9*(114/84 - 1/(-6)) and (-52)/(-192)*(1 + 1).
168
Let q = -227/30 - -511/65. Suppose 5*c + 14*w - 19225 = 19*w, 4*c + w - 15405 = 0. Calculate the common denominator of (910/c)/(4/70) and q.
858