30. Let k be (-8)/(-54)*(-653256)/17418. Let t = k + u. Find the common denominator of -87/2 and t.
18
Find the common denominator of -35/117 and -7 + (93/36 - -5).
468
Let r = 13 + -8. Let a = 20 - 16. Suppose -2 = a*p - 10. What is the least common multiple of r and p?
10
Let f = -20 + 22. Suppose 4*z = -m - 0*m - 3, -f*m + 3*z = -5. What is the smallest common multiple of (-2)/(-5) + 38/5 and m?
8
Suppose -3*k = -5*k. Calculate the common denominator of (-97)/(-16) + k/22 and 142/(-16)*(-8)/(-6).
48
Let w be 4/18 - (-372)/432. Let m = 67/84 - w. What is the common denominator of -13/6 and m?
42
Let w = -3299/1410 + 52/47. Calculate the common denominator of w and -121/60.
60
Let v = -33779/2502 + 1/1251. Find the common denominator of v and 13/10.
10
Let g be 94287/12663 + 2 + -2. Let z = g + -2/1407. Calculate the common denominator of 67/30 and z.
90
Suppose -3*s + 0*s - 4227 = -3*g, -2*s = -4*g + 5628. Let b = g - 16871/12. What is the common denominator of 58/21 and b?
84
Let p = 227/237 - 3921/5056. What is the common denominator of p and 71/240?
960
Let t = 8959/1260 + -92/63. Let z = -11495 + 7509. Let a = z - -87607/22. Calculate the common denominator of t and a.
220
Let j = 5990/16863 + -1/219. Find the common denominator of j and -107/28.
308
Let f be 6/(-4)*(-172)/(-42). Let n = f + 13. Let v = -69/8 - -337/8. Calculate the common denominator of n and v.
14
Suppose 5*w - 2*w = -12. Calculate the common denominator of (-254)/12*w/20 and 114/20*(21 - 19).
30
Suppose 5*w = 5*s + 185, 2*w + 3*s = -2*w + 141. Calculate the common denominator of -2 + 5 - 236/w and 59/9.
9
Let u = 15003/66682 + -44/433. Calculate the common denominator of 65/4 and u.
308
Suppose 0 = -2*j + 1733 - 413. What is the common denominator of -7/36 and ((-6)/(-5))/2 + (-861)/j?
396
Let m = 5470343/10 + -549990. Let c be (-18)/30 + (-29524)/10. Let y = c - m. Find the common denominator of y and -81/14.
70
Let u(w) = -6*w**3 - w**2 + 2*w - 1. Suppose 4*s + 8 - 12 = 0. Let l be u(s). What is the common denominator of 69/22 and ((-321)/18)/((-14)/l)?
154
Calculate the smallest common multiple of (3 + -14)*(-1)/(3/9) and 114.
1254
Suppose -4*v - 12 = -3*u, u = 2*v + 4*u - 12. Suppose i = -v + 6. What is the smallest common multiple of 1 and i?
6
Suppose 0 = -7*r + 2*r. Suppose -2*k - 3*w - 5 = r, -2*w - 2 = k + 2. Calculate the lowest common multiple of k and 6.
6
Let z(g) = 59*g + 1. Let c be z(-2). Let f = c + 1055/9. Let s = -3/724 - -10513/3620. What is the common denominator of f and s?
90
Calculate the least common multiple of 9/36*56*1 and 12.
84
Suppose d = -u + 2*u - 13, 19 = u + 5*d. Let p = 32 - u. Calculate the smallest common multiple of p and 18.
18
Let q be (-204)/(-10) + 3/5. What is the common denominator of 1 - (-3)/((-36)/(-70)) and (54/(-20))/((-18)/q)?
60
Let b(y) = 1 + 1 - 5*y - y. Suppose 6*d - 2*d = 8. Calculate the lowest common multiple of d and b(-4).
26
What is the lowest common multiple of 16 and (80/6)/((-7)/(441/(-14)))?
240
Let z be -1*(-79 - (5 - 1)). Let n = z - 43. What is the smallest common multiple of 2 and n?
40
Suppose -10*o = -76 - 14. Calculate the smallest common multiple of o and 714.
2142
Let g = 2550 + -2548. Calculate the smallest common multiple of g and 76.
76
Calculate the least common multiple of 20/5 - 10 - -17 and 163.
1793
Let j = 33 + -31. Suppose -2*o - 40 = -5*q, -o - 7 = -j. Suppose -7*f + 11 = -q*f. Calculate the least common multiple of f and 1.
11
Let t(s) = 3*s**2 - 5*s - 7. Let u be t(-6). What is the common denominator of u/(24/(-30)*(-31 - -1)) and 73/18?
72
Let q = 10 - 8. Suppose 8 = 2*j + q*j. Suppose 3*n = 46 + j. What is the lowest common multiple of 18 and n?
144
Suppose -7*n = 699 + 267. Let s = -118 - n. What is the smallest common multiple of s and 44?
220
Let t = -88636/21 - -4224. What is the common denominator of -139/30 and t?
210
Let l(s) = -4*s - 1. Let v be l(-1). Suppose 9 = v*w, x - 75 = -3*x + 3*w. What is the lowest common multiple of 5 and (-7)/(x/6) - -3?
5
Let v(p) = -p**2 - 9*p - 4*p + 3 + 0*p**2 - p. Let d(q) = -q**2 - 12*q + 16. Calculate the lowest common multiple of d(-12) and v(-13).
16
Let i = -49/1329 + 94811/2595537. Let x = i + 150385/11718. What is the common denominator of (-7163)/(-1914) + 2/(-6) and x?
66
Suppose 0 = -5*j - 11 + 16. Suppose 4*o = -v - 15, 4*o + j = -2*v - 9. Calculate the smallest common multiple of 3/((-3)/(-8)) - 0 and v.
40
Calculate the lowest common multiple of 80 and (-969)/(-51) - (0 + 7).
240
Let s = -6 + 10. Suppose -2*r + 4*x = 4, s*r = -r - 4*x + 32. Suppose 0 = -y + r*j - 11, 2*y - 22 = 3*j - 6*j. What is the lowest common multiple of 10 and y?
10
Let x be 5823/(-852)*(4 - (-265)/(-60)). Let n = 5/142 - x. Find the common denominator of 19/170 and n.
1360
Let o be 21/(-112)*95258/3. Let g = o - -5945. Find the common denominator of g and -47/10.
40
Let j(u) = -2*u**3 - 13*u**2 - 2*u + 6. What is the lowest common multiple of j(-7) and 30?
690
Calculate the common denominator of 180/(-100) - 3756/(-2295) and 74/3.
153
Suppose 87 = 3*d + 24. Let j = -593 + 587. Calculate the least common multiple of (-14)/d - 28/j and 2.
4
Let a = -314 + 336. Calculate the smallest common multiple of 20 and a.
220
What is the least common multiple of (-1767)/(-38)*(1 - -1) and 21?
651
Let r = 48170/6363 + 1/909. Let d = 389 + -3490/9. Find the common denominator of r and d.
63
Let a(h) = -7*h + 200. Calculate the least common multiple of 10 and a(25).
50
Suppose 0 = 6*v - v - 3280. Suppose -6*z + z + 3*j = -19, 3*j + 1 = -4*z. What is the lowest common multiple of z and 4/(-10) - v/(-40)?
16
Let h(t) be the first derivative of t**2 + 2*t - 1. Let u = 20232 + -20229. What is the smallest common multiple of h(2) and u?
6
What is the common denominator of 139/132 and (-6)/(-9) - (-3)/((-180)/(-274))?
660
Suppose w - 30 = -2*w. Suppose 108 = -53*t + 59*t. What is the least common multiple of w and t?
90
Let j = -569/255 + -7/102. Find the common denominator of j and ((-3)/(-50))/((-24)/(-20)).
20
Let i be (-4)/(-14) + 27/(-21). Let z be 37/(-3) - ((-12)/(-18) + -1). What is the common denominator of (i/z)/((-5)/85) and -115/18?
36
Calculate the common denominator of -15/16 and -3*4277/(-11076) - (-3)/(-2).
1136
Suppose -2*h + 18 = 2. Find the common denominator of (236/(-18))/(h/6) and 170/(-105)*(-3)/(-4).
42
Let p = 250620 + -380030. Let a be (3/20)/((-14955)/p). Let c = a + 2/997. What is the common denominator of c and -117/10?
10
Let c = -62339 + 2680459/43. Let h = -15765642 + 8135077633/516. Let w = c + h. Calculate the common denominator of w and -61/14.
84
Let r(p) = -p**3 + 6*p**2 - 5*p + 2. Suppose 11 = 3*v + f, 8 = 3*f - 5*f. Calculate the least common multiple of 11 and r(v).
22
Let o = 53607275/46026 + 581/2557. Let y = o - 1168. Find the common denominator of y and -69/14.
126
Let s be 20 + -17 + (92 - 0). Let w be 393/57 + 10/s. Suppose 5*r - w = 13. What is the smallest common multiple of r and 2?
4
Let a be (56/12 - -5)*246. Let p = 64147/27 - a. Calculate the common denominator of 34/27 and p.
27
Suppose -j + 35 = 5*c, 7*j - 20 = 3*j. What is the lowest common multiple of c and (-8)/10*(58 - 148)?
72
Let u = 264524/77 - 22353/7. Let r = u - 243. Calculate the common denominator of -33/4 and r.
44
Find the common denominator of 17/72 and 779/(-855) + (-4)/9.
360
Suppose -19*o + 5*a = -23*o + 1159, -4*o = -4*a - 1132. Calculate the lowest common multiple of 20 and o.
2860
Let l = -1157 + 373. What is the common denominator of (-3955)/l - (-3)/21 and 121/18?
144
Let h(p) = -2*p + 10. Let u = 11 + -3. Let b be h(u). What is the least common multiple of 7 and (-6)/18 + (-26)/b?
28
Let b = 1636 + -1526. Let q = 11 + 0. Calculate the lowest common multiple of b and q.
110
Let b = -6 - -14. Let x = 335 - 284. What is the smallest common multiple of b and x?
408
Suppose 0 = -2*l - 3*i, -2*i = 5*l - 3*i + 17. What is the common denominator of l/2 - (-148)/(-44) and -48?
22
What is the common denominator of -143/24 and (-64)/(-138) + 0/(-2)?
552
Let t = 7339/990 + -65/9. Calculate the common denominator of t and -89/60.
660
Let g = 22 + -14. Suppose 3*d - 2 - 14 = -s, -5 = s - 4*d. Calculate the lowest common multiple of g and s.
56
Let o(v) = v