6
Let x be (-40)/(-18) - 4*(-2)/(-36). Suppose 4*r + x = 5*v - 0*r, 0 = 4*v - 4*r. Calculate the smallest common multiple of v and 6.
6
Calculate the least common multiple of (-10 + 730/50 - 1)/(2/190) and 14.
2394
Let h(q) = q + 18. Let c be h(-12). What is the lowest common multiple of 36 and 850/30 + 10/c?
180
Find the common denominator of ((-33)/12)/((-32)/(-14)) and ((-760)/56)/((-17)/28 + (-11)/44).
192
Calculate the common denominator of 7 + -6 - (-210)/(-119) and 71/2312.
2312
Suppose -d + 2*d = 4*a + 22, 9 = 2*d - a. What is the lowest common multiple of d and -12*(-1)/54 - 7/(-9)?
2
What is the common denominator of -64/415 and (6/(-152))/(28350/952 + -31)?
7885
Suppose 3*h + 0 = j + 22, 5*h - 2*j - 38 = 0. Suppose -h*t = 206 - 266. Calculate the smallest common multiple of 38 and t.
190
Suppose -15 = 3*a, -a + 16 = p - 65. Let s = -262 + p. What is the common denominator of 121/20 and (-2 - 18/(-10))/(s/1880)?
220
Let p = 35 - 23. Suppose 5*a + 3*q + 59 = 4*a, 5 = -5*q. Let t = a - -66. What is the least common multiple of p and t?
60
Let z = 1350067/56 - 24107. Let f = 142917/40144 - -6/2509. Find the common denominator of z and f.
112
What is the common denominator of (-5 + (-36)/(-8))*304/24 and 2/195?
195
Let p be (-6)/27 - (6/(-27) + 0). Suppose p = 24*a - 20*a - 960. Calculate the lowest common multiple of a and 6.
240
Suppose -3*a = 3*u + 2*u - 57, -3*a + 3*u = -57. Let o = a - 1. Suppose 935 = 5*p + 4*b + 171, -5*b + 604 = 4*p. What is the lowest common multiple of p and o?
468
Let j(i) = 33*i**2 - 24*i - 4. Let g(n) = -n**3 - 2*n**2 - 13*n - 12. What is the least common multiple of g(-5) and j(-2)?
1408
Let s(m) = m**2 + 2*m + 3. Let j = 39 - 44. Let c be s(j). Suppose 3*q = 0, -4*q + c = 3*n + q. What is the smallest common multiple of 6 and n?
6
Suppose -10*p = -9*p + 4*z - 7, 3*p - 35 = 2*z. Let q(u) = u**3 - 8*u**2 + 2*u - 5. Let c be q(8). Let b = c - 8. What is the least common multiple of b and p?
33
Let p = -172429/14 - -12322. What is the common denominator of p and 51/2*9/1350?
700
Let d(z) = 25*z - 141. Let x(p) = -p**3 + 18*p**2 + 42*p - 33. Let l be x(20). What is the lowest common multiple of 30 and d(l)?
510
Let i be 6*((-1)/(-4))/(-1)*4. Calculate the common denominator of 77/15 and (-2)/i + 2286/(-432).
120
Let c be (-1266)/(-4) - (-1 + (-20)/(-8)). What is the common denominator of 85/164 and (3 - -3) + c/(-6)?
164
Suppose -2 - 6 = 4*t, -2*t = 4*p - 604. Suppose 5082 = -101*q + 6779 + 5979. What is the least common multiple of q and p?
152
Suppose 10*r = x + 11*r - 34, 14 = x - 4*r. Calculate the lowest common multiple of x and 1840.
5520
Find the common denominator of (-6)/(-13) + (-989)/1495 + 1492/60 and -117/5140.
15420
Let l be 3/3 + 2 + -9. Let i be (-8)/(-36) + 3 + 156/27. Calculate the common denominator of -103/14 and (-50)/(-24) + l/i.
84
Let k(i) = 4*i + 21*i + 0*i + 1 + 6*i - 2*i**2. What is the smallest common multiple of k(15) and 4?
16
Calculate the common denominator of ((45/6)/(-15))/(216/736) and (-29)/(-18) - (-4)/(-6).
54
What is the common denominator of (35/92400*-1)/(14/(-366)) and 149/6160?
6160
What is the common denominator of (-4072)/(-292) - 14 - 2/(-6) and -4/15?
1095
What is the common denominator of 828/99*(-10)/20 and -71/266?
2926
Suppose 0 = -251*w + 261*w - 2430. What is the least common multiple of w and 810?
2430
Let f = 23 + -1. Calculate the lowest common multiple of f and (-20)/(-4420)*24323 + (-1)/17.
110
Let s(k) = -3*k + 39. Let z be s(12). Calculate the common denominator of (z - (-39)/12) + 6/9 and -87/52.
156
Suppose -4*d + 4*u = -3916, 2*d - 41*u - 1940 = -45*u. Calculate the smallest common multiple of 14 and d.
6832
Let g(q) = -15*q - 1. Let s be g(2). Suppose 110 = -5*a + 3*a. Let h = s - a. Calculate the smallest common multiple of h and 3.
24
Let v be (-3 + (8 - 3))/(265/(-700)). Let r = v - -203/530. Let n = 10/387 - -28211/1548. Calculate the common denominator of n and r.
20
Let v = -23 - -45. Let z be (0 + 2 + -111)/(1 - 0). Let h = -101 - z. What is the lowest common multiple of h and v?
88
Let m = 26496 + -23856. Calculate the lowest common multiple of m and 2160.
23760
Suppose -4*y + 10*y - 1464 = 0. Suppose 5*u - y + 124 = 0. Calculate the least common multiple of u and 18.
72
Suppose -2*p + 5*w = -27 - 37, w = 0. Let f be (-2)/6 - (-124656)/p. Let l = f + -3909. Find the common denominator of l and -83/24.
24
Suppose 103 - 88 = -3*n, -n = r - 25. Let q be (10 + -4)*4/6. Suppose -2*y = -16 + q. Calculate the lowest common multiple of r and y.
30
Suppose -11*o = -m - 9*o + 20, -o = 3*m - 39. Let n = 57/106 - 4429/795. Find the common denominator of n and (-22)/(-8) + -1 + m/21.
60
Let z(g) = g**2 + 1. Let k(p) = 117*p**2 + p - 2. Let f(i) = k(i) + 4*z(i). Let u be f(-2). Let s = u - 30977/64. Find the common denominator of s and -19/4.
64
What is the least common multiple of ((-24)/20)/((-81)/1620) and 237?
1896
Let r(v) = -277*v**2 + 5*v + 6. Let j be r(-2). Let s = j - -737. What is the common denominator of ((-5)/9)/((-10)/s) and -38/15?
30
Suppose 3*g = 5*u - 139, 13*u + 38 = 14*u - 4*g. Suppose -4*j + u = 2*v, 0*j + 9 = j - 2*v. What is the smallest common multiple of j and 26?
182
Let n(f) = 8*f + 12. Suppose 3*y + 6 = 7 + 32. Calculate the least common multiple of y and n(13).
1276
Suppose -1800 = -25*b + 10*b. What is the common denominator of 53/(-8)*-8*(-10)/b and 95/72?
72
Let h(d) = 2*d**2 + 79*d - 1207. Calculate the lowest common multiple of h(19) and 254.
1016
Let u = 41177 - 4529557/110. Let z = 7717/1368 + 40/171. What is the common denominator of z and u?
440
Let t = -713/39 - -1736/117. Calculate the common denominator of t and 42/1223.
11007
Let k = -16799 - -16937. Calculate the smallest common multiple of 115 and k.
690
Let k(w) be the second derivative of -7*w**5/4 - w**4/12 - 2*w**3 - 5*w**2 + 146*w. What is the smallest common multiple of 6 and k(-1)?
36
Let s(h) = -h**2 + 3*h + 1. Let w be s(4). Let f = w - -7. Suppose 30*c - 26*c - 24 = -2*j, 0 = -j + 5*c + 5. Calculate the least common multiple of f and j.
20
Let k = 89035586/3543 - 25130. Let s = 45847/187779 - k. Calculate the common denominator of 68/3 and s.
159
Let g = -40697/24 + 1695. Calculate the common denominator of g and 124/9*(-15)/(-80).
24
Suppose -5*p - 42 = -57. Suppose 5*r + p - 13 = 0, 5*r = -2*q + 6. What is the common denominator of 1/(4 - 8)*(-89)/q and 11/14?
56
Let t = 75727803 - 3938154721/52. Let p = t + 62418/13. Let z = -1133 - p. Calculate the common denominator of 67/42 and z.
84
Let f be (24/(-9) - -3) + 44/12. Suppose f*m = s + 2397, -5*m - s - 603 = -6*m. Calculate the lowest common multiple of m and 14.
4186
Let m = -1430153 - -47201018/33. Let l = -180 + m. What is the common denominator of -58/7 and l?
231
Let w = -810 - -1578. Suppose 12373 = -5*f + w. What is the common denominator of f/(-5280) - (-8)/10 and 5/22?
1056
Suppose -18*k + 1130 = 50. Suppose 6 = w - 4*w, -5*w = -5*v + k. What is the smallest common multiple of -2 - (-3)/((-6)/(-20)) and v?
40
Let z = -33 + 39. Calculate the smallest common multiple of -2*(z/5)/(32/(-40)) and 27.
27
Let x = 15122 - 15106. What is the lowest common multiple of 256 and x?
256
Find the common denominator of -27/40 and 7 + -10 + 1414/336.
120
Suppose -99*u + 140 = -89*u. What is the common denominator of 85/8 + (3 - 1) and (116/u + (1 - 5))/1?
56
Let q = -58382949/448 - -130319. Calculate the common denominator of q and -79/832.
5824
Let s(q) be the second derivative of q**4/3 + q**3 - q**2/2 - 35*q. Let g be s(-2). Suppose g*m = 2*m + 22. What is the lowest common multiple of 188 and m?
2068
Let n(o) = o**3 + 2*o**2 + 19*o + 110. Let l(f) = 8*f**3 + 2*f**2 - 4*f - 18. What is the least common multiple of n(-4) and l(4)?
510
Let v = -3712253/132 - -28123. Calculate the common denominator of 13/32 and v.
1056
Let t be 119681/5 + (-5)/25. Let h = 478597/20 - t. Let z = -134395/42 + 3201. Find the common denominator of z and h.
420
Suppose 2*h + 119 = -15*h. Find the common denominator of (-90)/10 - h - (-57)/8 and -2 - (-243)/(-12) - 0.
8
Let a = -406313/32 - -12700. Calculate the common denominator of a and 203/780.
6240
Let g be ((-3)/(-837))/((-174)/(-37428)). Let u = -16/261 + g. Calcu