Let k be b/(16/(-5116))*-1. Let n = -7597/6 - k. What is the common denominator of n and -43/5?
30
Let t(a) = a**2 + 4*a - 7. Let h be t(-6). Suppose -f - 3 = -b - 1, h*b - 2*f = 22. What is the lowest common multiple of b and 12?
12
Suppose -2*f - 3*f + 40 = -5*t, -2*f - 5*t + 9 = 0. Suppose f*s - 49 - 21 = 0. What is the smallest common multiple of 2 and s?
10
Suppose 0 = 3*m - 35 + 11. Suppose -34*o + 38*o - 12 = 0. Suppose 37 = 5*c - o. Calculate the least common multiple of c and m.
8
Let v = -16203/2 - -1118137/138. Calculate the common denominator of v and -73/6.
138
Suppose p - 32 = -4*n - 0*p, -32 = -4*n + 5*p. Let x be (12 - -12)*2/4. Suppose 20 = -10*h + x*h. Calculate the least common multiple of h and n.
40
Let n(f) = 110*f. Let m be 3*-1*(-7)/(-21). Let b be n(m). Let d = -1841/18 - b. Calculate the common denominator of d and 51/4.
36
Let t = -3/3860 - 187183/34740. What is the common denominator of ((-1936)/64)/((-35)/(-7)) and t?
180
Suppose 27*z + 745 = 12*z - 5. Calculate the common denominator of z and 258/34*(-1)/(-3).
17
Suppose 5*w = 2*w + 24. What is the smallest common multiple of w and (-520)/(-29) - 280/(-4060)?
72
Let j = 2909 + -17303/6. Find the common denominator of j and ((-22)/(-70)*-3)/(970/(-679)).
150
Let x(c) be the second derivative of c**5/20 + c**4/4 + c**3/3 - 2*c**2 + 2*c. Let i be x(-4). Calculate the lowest common multiple of 1 and 8/i - 90/(-21).
4
Find the common denominator of 41/8 and ((-114)/16)/(-15*(-45)/75).
24
Let y = 200351/5445 - -5/1089. Let a be 4/(-10) + 4494/(-60). Let b = a + y. What is the common denominator of 77/4 and b?
4
Suppose -f - 18 = 2*f. Let j be (-6)/8*(-8)/(-598). Let c = j - 7457/1794. What is the common denominator of c and f?
6
Suppose -5*x = -2*b + 17, -5*b + x - 3*x + 57 = 0. Suppose 3*d - b = -2. What is the lowest common multiple of 1 and d?
3
Let z(k) = -2608*k - 11. Let h(u) = 1304*u + 6. Let v(d) = 5*h(d) + 3*z(d). Let q be v(-1). Let x = q - 14325/11. What is the common denominator of x and -59/5?
55
Let a = 180 + -260. What is the common denominator of -89/10 and (-118)/a*(2 + 2)?
10
Suppose x = 3*m + 2 - 0, 58 = 5*x - 3*m. Let d(l) = -l**2 - 18*l - 18. Let n be 65/(-4) - 6/(-24). What is the least common multiple of d(n) and x?
14
Let m = -8 - -68. Suppose m*o - 64*o + 48 = 0. Calculate the smallest common multiple of (5/((-10)/(-24)))/1 and o.
12
Let x(w) = -w**2 - 6*w - 4. Calculate the lowest common multiple of x(-4) and ((-135)/36)/((-6)/8) - 1.
4
Let j(l) = -2*l - 2. Suppose -3*n = -4*m - 1, 0 = 5*m + 3*n + n + 40. Let h = 22 + m. What is the smallest common multiple of h and j(-4)?
18
Let f = 14 + 118. What is the lowest common multiple of f and 6?
132
Let g = 480 - 262. Calculate the lowest common multiple of g/12 - (-7)/(-42) and 22.
198
What is the least common multiple of (-689)/(-2) - 9/((-90)/(-5)) and 16?
688
Let u = 2065/4 - 979/28. Let r = u - 483. What is the common denominator of 93/(-8) - (-8 - -5) and r?
56
What is the least common multiple of -3*(-22)/(-33) - (1 - 7) and 143?
572
Let m = -2/16713 + 1286921/167130. Calculate the common denominator of m and 17/385.
770
What is the common denominator of -155/258 and -19*((-293)/48 - (-5 - 1))?
2064
Suppose p = 4*c + 3*p - 434, 4*c - 2*p = 414. Calculate the common denominator of 2/(-32)*c - -1 and -33/8.
8
What is the common denominator of 154/20 + (-33)/(-11) and (96/81)/(4/(-6))?
90
Suppose w - 63 = -2*b, w = -4*b - 0*w + 125. Suppose -4*l - b = 1. Find the common denominator of 67/22 and l/36 - (-818)/(-288).
176
Let i = 3501973/11 - 321311. Let v = i + 2945. Let u = 1141/3 - 375. What is the common denominator of u and v?
33
Let j(t) = -t**3 + 17*t**2 - 29*t - 4. Suppose 5*p + 3*i = 113, -2*p - 2*i = 20 - 66. Calculate the smallest common multiple of j(15) and p.
22
Let s = 9 - 6. Suppose s*h + 2*h = -4*a - 17, -4*h = 3*a + 12. Find the common denominator of 13/11 and a/(-3)*3/36.
99
Suppose 13*k - 4*k = -27. Calculate the least common multiple of 3 and ((-208)/4)/(-1) + k.
147
Let v be -3 + -5 + (-3 - (-2 + 1)). Find the common denominator of 48/32*v/6 and -15.
2
Let g be (1452/(-722) - -2)*15/6. Let n = -3611/12996 + g. What is the common denominator of 13/20 and n?
180
Let g(w) = 15*w + 112. Calculate the least common multiple of g(-7) and 336.
336
Let a be (-2)/11 + (-258)/33. Let t = -30947/7930 + 2/793. What is the common denominator of a/4*(-90)/8 and t?
10
Suppose -3*d - 3 = 3*f + 6, -5*f = d + 19. What is the common denominator of d*3 + (-1341)/126 and -151/18?
126
Let b(h) = h**3 + 5*h**2 + 4*h - 4. Let k be b(-4). Let g be k/(-2) - -15 - 1. Suppose 3*o - g = -o. Calculate the lowest common multiple of 7 and o.
28
Let b(c) = -c**2 - 18*c - 27. What is the smallest common multiple of b(-16) and 66?
330
Let b(h) = -3*h**3 - h**2 + h. Let a = 525 - 421. What is the lowest common multiple of a and b(-2)?
936
Let g = -160 + 220. Calculate the lowest common multiple of g and 150.
300
Suppose -3*d + 246 = -2*a, -3*d + 9*a + 249 = 6*a. Calculate the lowest common multiple of d and 70.
560
Let z(j) = 158*j**2 + 3*j - 1. Calculate the lowest common multiple of 154 and z(-1).
154
What is the lowest common multiple of (-42 - 7)/(-1 + 1 + -1) and 70?
490
Let d(z) = z**3 - 9*z**2 - 5*z + 21. Let f be d(9). Let c = f + 25. What is the common denominator of -61/4 and (-2 + c)*(-485)/50?
20
Let z = -22 + 32. Let x = 1 + 10. Calculate the lowest common multiple of x and z.
110
Let o(p) = 3*p - 90. Let t be o(34). Let f(k) be the second derivative of k**5/20 - k**4 + k**2 + k. Calculate the lowest common multiple of f(t) and 7.
14
Suppose -76*n + 81*n - 40 = 0. Calculate the least common multiple of 26 and n.
104
Let t = 252/13 - 8732/429. Find the common denominator of -9/11 and t.
33
Let h be 34266/(-207)*18/24. Let j = h - -199/23. Let u = -122 - j. What is the common denominator of 17/42 and u?
42
Suppose 2*w + 24 = -2*w. Let b be 4/w*120/(-16). Suppose 0 = -b*g + 15 + 10. Calculate the lowest common multiple of 11 and g.
55
Let v = 874 - 826. What is the lowest common multiple of v and 8?
48
Calculate the common denominator of 4008/160*((-10)/18)/(-5) and -82/15.
60
Suppose 4*k = 92 + 160. What is the least common multiple of k and 12?
252
Let c(m) = 8*m - 37. Let v be c(9). Let n = -67 + v. Find the common denominator of -18/19 and n.
19
Let t be (102/4)/((-6)/(-56)). What is the common denominator of t/(-36) + (-2)/(-3) and 244/(-12)*((-69)/(-14))/23?
126
Let j be ((-78)/4)/((-15)/1670). Let o = 19579/9 - j. What is the common denominator of o and -53/62?
558
Let y(k) = -2*k + 11. What is the least common multiple of y(-17) and 10?
90
Let h(f) be the first derivative of f**3/3 + 7*f**2/2 + 11*f + 11. Let g be h(-8). Calculate the common denominator of -21/4 and (g/(-3))/(22/(-6)).
44
Suppose -49*b = -44*b - 30. Calculate the lowest common multiple of 36 and b.
36
Let x(r) = 3*r**2 + 8*r - 10. Calculate the smallest common multiple of 10 and x(-5).
50
Let u = 288 + -278. Suppose 75 = -0*j + 5*j. What is the smallest common multiple of j and u?
30
Let r = -398762472371/1378381452 - -2/16409303. Let s = r - -1153/4. What is the common denominator of s and -59/27?
189
Suppose 1 = -2*r + 11. Suppose g = -5*b + 74, 72 = r*b + 2*g + g. Suppose 5*i - b = 2*i. Calculate the lowest common multiple of 8 and i.
40
Let a = 126785/61677 - 1/13706. What is the common denominator of a and (3/(-132))/(6/536)?
198
Let f = 4 - 5. Suppose 8 = -3*h + 7*h. Find the common denominator of h and 3 + (f - (-33)/(-15)).
5
Let c = -36 + 38. Suppose 2*h + 4 = 0, -i + 5*i + c*h = 28. What is the smallest common multiple of i and 54/(-12)*2/(-3)?
24
Let v = 538 + -490. What is the smallest common multiple of v and 48?
48
Let a(d) = -d**3 + 18*d**2 + 91*d - 55. Calculate the least common multiple of 44 and a(22).
44
Let x = 48723727145 + -6387388286120821/131094. Let m = -114149 + 831347169/7283. Let j = x - m. Calculate the common denominator of j and -113/10.
90
Suppose -4*t - 63 + 203 = 0. What is the lowest common multiple of 8 and t?
280
Suppose -5*j - 36*s + 58 = -40*s, -2*s - 22 = -2*j. Calculate the lowest common multiple of 2*8 + (-4)/2 and j.
14
Let s be -1*14*33/(-3). Let k = s - 94. Suppose -z - 2*z = -k.