0 + 47/5. Find the common denominator of -5/292 and r.
292
Let k = 1/13715 + 1165759/219440. Find the common denominator of k and 87/40.
80
Let g be 2*(-1)/2 - 0. Let b = g - -1. Suppose -2*s + 16 = -b*s. Calculate the smallest common multiple of 2 and s.
8
Let s be (52/22)/((-12)/(-120)). Let d = -2993/88 + s. Calculate the common denominator of 43/9 and d.
72
Suppose -505 = -163*m + 158*m. Let c = m - 123. Calculate the common denominator of c and -59/4.
4
Let q = 389531/884 + -7524/17. What is the common denominator of -33/244 and q?
3172
Suppose 4*v - 13 - 19 = 4*t, 2*t - 4 = -3*v. Calculate the common denominator of 41/24 and v - 0 - 7/((-756)/(-404)).
216
Let w(g) be the second derivative of -7*g**5/20 + g**4/12 + g**3/3 - 6*g. Calculate the smallest common multiple of w(-1) and 7.
42
Let r = -3572 - -39329/11. Calculate the common denominator of 3/35 and r.
385
Suppose 2*u = c + 54, u = 5 - 2. Let o be (c - -3)*(-6677)/(-42). Let a = -7146 - o. What is the common denominator of a and 115/14?
14
Let x(a) = -a**2 - 7*a + 10. Let r be x(-7). Suppose -8*b + 5*y = -3*b - r, 5*y - 2 = 3*b. What is the lowest common multiple of 3 and b?
6
Suppose 0*h = 2*h - 8. Let s be (2/(-5))/((-5)/(-125)). Let d(i) = i + 18. Calculate the lowest common multiple of d(s) and h.
8
Let g = -3/13024 + 407009/39072. Let x = 2536181/6 + -424942. Let b = -2253 - x. Find the common denominator of g and b.
12
Let l = 829 + -807. Let n = -211 + 399. What is the smallest common multiple of n and l?
2068
Find the common denominator of -47/44 and (-47)/12 + -1 - -2.
132
Let q = -76 - -832/11. Let u(n) = 59*n - 11. Let f be u(-7). Let o = f + 3791/9. Find the common denominator of q and o.
99
Suppose 5*m - 4 = m. Suppose 7*j - 100 = 2*j. Suppose 15*o + 20 = j*o. Calculate the smallest common multiple of m and o.
4
What is the common denominator of ((-78)/80)/(15/10) and (-1 - (-63)/60)*97?
20
Let r(m) = -9*m + 90. What is the least common multiple of 6 and r(0)?
90
Calculate the lowest common multiple of (12/(-14))/((-11 - -6)/210) and 24.
72
Let x = 10604/7 + -1509. Suppose t + 4 = 2*t. Suppose 0 = -t*b + 123 - 35. What is the common denominator of b and x?
7
What is the smallest common multiple of ((-120)/10)/3 + 8 and 980?
980
Let q = 99833/12 - 32641/4. Let v = 490/3 - q. Calculate the common denominator of 34/23 and v.
138
Find the common denominator of 7 + 7 + (-3688)/192 and 149/120.
120
Let b = 3/191 - -2647/1719. What is the common denominator of b and (2/(-4))/((-18)/(-188))?
9
Let z = 5918007 + -59061253/10. Let b = z + -11872. Calculate the common denominator of 1/(-8)*(-93)/1 and b.
40
Let s be 2/(-3 + (-44)/(-12)). Suppose k = 0, 7*k - 6 = -s*a + 3*k. Suppose -4 = -2*b - 2*p, 8 - a = 3*b + 5*p. Calculate the least common multiple of 18 and b.
18
Let f(d) = d - 46. Suppose -2*s - s + 5*n = -1, 0 = 4*s + 5*n - 13. Calculate the smallest common multiple of f(51) and s.
10
Suppose -2*n + 9 = 2*c + 1, -8 = -c - 2*n. Suppose c = 3*z - 2*z - 6. Suppose 2*g - 17 = 3*w + 4, 4*g - 12 = -4*w. What is the least common multiple of z and g?
6
Let y = -763 + 774. Suppose -2 = -s + 6. Calculate the lowest common multiple of y and s.
88
Let c = 36167/2 - 18443. Let x = c - -327. What is the common denominator of x and 67/6?
6
Suppose 2*a - 5*f = 7, -a - 4*f = -2*a + 11. Let y(q) = 9*q + 22. Let i be y(a). Find the common denominator of (9/6)/(6/i) and -59/6.
12
Let w = 3 + 2. Let b(z) = w*z**2 + 2*z + 143 - 143 - z**3. What is the least common multiple of 7 and b(5)?
70
Let w = 607583170619/146824749372 - 1/125598588. Let y = -12/2945 - -390744/491815. Let h = y + w. What is the common denominator of h and 59/16?
112
Let r = 1565 + -2365. Let a = -2461/2 - -1186. Calculate the common denominator of a and (-6)/(-27) + r/(-126).
14
Let g be 15*(-1 + (-16)/(-12)). Suppose -15 = -d - g. Let f(m) = 2*m**2 - 6*m + 3. Calculate the lowest common multiple of d and f(4).
110
Let a = 54 + -51. Calculate the smallest common multiple of 18 and 1 + -2 + a + 14.
144
Calculate the common denominator of 62/35 and 0/38 + 38/15.
105
Let d = -1642193/72 - -187033/8. Let z = d + -57742/99. Let w = z - -1539/88. Find the common denominator of 43/16 and w.
16
Let v = -8677/8 + 2181/2. Calculate the common denominator of v and (-1)/(-1) + (-5)/14.
56
Let g = 3173 - 85651/27. Find the common denominator of 47/18 and g.
54
Let b(a) = a**3 - 6*a**2 - 5*a. Let j be b(5). What is the common denominator of -67/4 and (2 - j/16)/(22 + -23)?
8
Let g = 8 + -9. Calculate the lowest common multiple of 20 and (30/(-20))/(g/6).
180
Let s = -5057 + 3315. Let t = s + 31337/18. Find the common denominator of t and (-5)/(-3)*(-9844)/920.
18
Let o(l) = -15*l**3 - 2*l - 1. Let p be (12/14)/(10/35). Suppose p*r = 4*m - 22 - 5, -26 = -5*m - 4*r. What is the lowest common multiple of m and o(-1)?
48
Let c(h) = -3*h - 6. Suppose -14*x + 3*x = 0. Suppose x = -4*i + 3*s + 17 + 39, -i - 3*s = -14. Calculate the lowest common multiple of i and c(-6).
84
Let x(h) be the third derivative of 3*h**4/8 - 2*h**3 - 22*h**2. Calculate the smallest common multiple of 7 and x(2).
42
Let k = -624 - -34319/55. What is the common denominator of k and 10/11?
55
Suppose 38 = j + 13. Suppose -2*y + 7*y - 45 = 0. What is the least common multiple of j and y?
225
Suppose 3*m = -6 + 15, m - 212 = g. Let t = g - -174. Let c = 294/31 - 2614/341. What is the common denominator of c and t?
11
Suppose 34 = p + 19. What is the smallest common multiple of 10 and 2/((-5)/p*-1)?
30
Let d(w) = 4*w**2 + 2*w - 1. Let t be d(1). Suppose -t*b = -4*b - 8. Let p = -6 + 24. Calculate the smallest common multiple of b and p.
72
Calculate the common denominator of 69/22 and (-5)/((-140)/(-16)) + (-2073)/(-210).
110
Let x = -881162/896781 + 2/15733. Calculate the common denominator of x and -53/27.
513
Suppose 0*i = 2*f - 4*i - 1390, 0 = -3*f - 3*i + 2058. Let k = -1403/2 + f. Calculate the common denominator of k and -36.
2
Let r = -7 - -7. Suppose r*f + 4*f + 60 = 0. Let a(p) = p**3 + 15*p**2 + 8. What is the smallest common multiple of a(f) and 20?
40
Let p = 1002 - 7041/7. What is the common denominator of 5/7 and p?
7
Suppose -73 = -8*a + 215. Calculate the lowest common multiple of 0 - ((-2)/3 - 92/6) and a.
144
Let x(v) = -v**3 + 9*v**2 + 10*v. Let p be x(10). Suppose p = -4*k + 3*k - 4. Calculate the common denominator of k/14 - 4383/(-567) and -37/10.
90
Let b(t) = t**3 + 2*t**2 + 3*t + 10. Let l be b(-2). What is the common denominator of (-8)/l + 107/8 and -37/10?
40
Suppose j - 12 - 1 = 0. Let z be j + (12/(-4) - -2). Calculate the common denominator of (-3)/z + 582/(-48) and 67/8.
8
What is the least common multiple of 5*(4 - 3)*2 and -3 + 260/15 + (-2)/(-3)?
30
Let m(j) = 59*j**2 - j - 8. Let x be m(-2). Calculate the common denominator of -7/87 and (x/18)/(((-64)/(-12))/(-8)).
174
Suppose -3*f - 30 = -5*h, f = -4*h + 4*f + 27. Let o be 1 - ((-3)/h - 2). Suppose -28 = -o*g + 2*g. Calculate the smallest common multiple of g and 6.
42
What is the least common multiple of 0*11/(-33) - (-108 + -2) and 2?
110
Let z be 1/(-4) - (-69)/4. Let c(m) = -5*m**3 - m**2 - 3*m - 4. Let y be c(-1). Let h = z - y. Calculate the smallest common multiple of 10 and h.
70
Suppose y - 2*z = 3*z - 23, -3*z + 15 = 0. Suppose -2*q + 2 + 17 = c, y*c = 5*q + 2. Calculate the lowest common multiple of 1*2 - (-22)/c and 2.
4
Let k be ((-38)/6)/(40/(-1416)). Let c = k + -10379/45. Find the common denominator of 62/20*2 - 0 and c.
45
Let w = 148 + -79. Calculate the least common multiple of w and 30.
690
Let r(u) = u**3 - 7*u**2 - 9*u + 3. Let s be r(9). Suppose 43 = -i + 5*m + 5, 4*i - 3*m = -s. Find the common denominator of (-134)/i*(1 + 0) and -24/11.
99
Let w(q) = -297*q + 63. Let m be w(2). Let l = 5631034501/10657075 + -2/819775. Let a = l + m. What is the common denominator of a and -27/4?
52
Calculate the common denominator of 137/6 and (18/96)/((-5)/(-75)).
48
Let s = -478337/120348 - -8/3343. What is the common denominator of (-2)/(-21) + -30 + 180895/5796 and s?
36
Let x = 13 - 9. Suppose -46 = -x*t - 10. Suppose 3*f - 15 = m, 0 = 3*f - 5*m - 5 + 2. What is the smallest common multiple of t and f?
18
Let x = -6/257 - -9527/771. Let k(o) = -o**3 - 2*o**2 + o - 4.