/j).
40
Let c = 26 + -14. Suppose 0*d - 3*d = -c. Calculate the least common multiple of d and 8*(3 + -7)/(-8).
4
Let k(h) = -7*h - 16. Let v be k(-10). Suppose -v = -3*g - 0*g. What is the common denominator of -1/6 and (6/30)/((-2)/g)?
30
Suppose -2*c - 4*q = 4, 3*c - 4 = 43*q - 47*q. Calculate the smallest common multiple of c and 179.
1432
Suppose -23 = 5*m + n - 0*n, 0 = -2*m - 4*n - 20. Let v(j) = 2*j**2 + j + 5. Calculate the lowest common multiple of 18 and v(m).
198
Let t = -8 - -10. Suppose 122 = t*r - 648. Find the common denominator of (r/(-30))/((-20)/(-6)) and 11/10.
20
Let b = 4 + 29. Let m be (-150)/(-22) + 6/b. Let y(f) = -f**3 + 8*f**2 - 6*f - 6. Calculate the smallest common multiple of 6 and y(m).
6
Suppose -4*o = d - 2*d - 23, -3*o + 15 = 0. Find the common denominator of 2/d*(-5742)/(-440) and 167/60.
60
Let y(p) = 2*p + 1. Let h be y(-1). What is the least common multiple of -2 + (-5 - -1)*h and 14?
14
Let f = -233/6 + 734/15. Let b = -152 - -75. Find the common denominator of (-1)/(-2) + b*2/(-16) and f.
40
Suppose 2*a = 2*p + 4, p + 4*a - 8 = -4*p. Suppose p = 11*x - 7 - 59. Calculate the lowest common multiple of x and 27.
54
Let b = -21/247 + 9801/1976. What is the common denominator of -27/16 and b?
16
Let n be 10/14 - 6/(-21). Let x be 22 - (0 - (n + 1)). Suppose 0 = -d + 4*d - x. Calculate the lowest common multiple of 12 and d.
24
Let h(b) = 6*b - 9. Let q be h(5). Let r = -31 - -44. Let g = q - r. Calculate the lowest common multiple of g and 6.
24
Let a(z) = 60*z - 20. Let c be a(-8). Let u = c - -4486/9. What is the common denominator of 68/21 and u?
63
Let k(c) = -c**3 + 33*c**2 + 4*c - 102. Let r = 13 + -7. Calculate the smallest common multiple of r and k(33).
30
Let i = 85/7 + -577/70. What is the common denominator of i and 101/38?
190
Suppose -3*t + 4*o = -17, 0 = 5*t + 5*o - 5 - 35. What is the least common multiple of t and 612?
4284
Suppose 5*o = 2*o + 33. Suppose -x + o = k, -3*k = 2*x - 2 - 26. Calculate the lowest common multiple of (-1)/(-3) - 22/(-6) and k.
12
Let p(d) = 2*d**2 + 24*d - 5. Let n be p(-12). Find the common denominator of (1/(-4))/(n/148) and -11/10.
10
Let n = -4 - -7. Let d(j) = j - 2*j + 7 - 2*j + j**2 - 3. Calculate the least common multiple of n and d(4).
24
Let r = -60236980/1229 + 49013. Let p = r - -28288/8603. Find the common denominator of p and -2 + 30*2/21.
7
Let b be 7044/1232 + 4/(-14). Let j = -20/11 - b. Calculate the common denominator of j and (-6)/(216/(-30))*(-556)/40.
12
Let z = -4063 - -36593/9. Let y = -736 - -1381/2. Find the common denominator of y and z.
18
Suppose -12*f - 4*f + 960 = 0. What is the smallest common multiple of f and 24?
120
Let s = 76 + -2. Let w = -35 + s. Let f = w + -87. Find the common denominator of f and -67/12.
12
Let f(a) be the first derivative of -2*a - 4/3*a**3 - 2*a**2 - 1/4*a**4 + 4. What is the common denominator of f(-5) and 11/8?
8
Let m = 2504/315 + -117/70. Find the common denominator of m and 61/33.
198
Let m(t) = 19*t**2 + 3*t - 3. Let j be m(-4). Calculate the lowest common multiple of 8 and j/68 + (-3)/(-4).
40
Calculate the common denominator of (-3)/(-2)*1/2 and 37/36.
36
Let o = -21 + 54. Let q = 45 - 465/11. Calculate the common denominator of q and o.
11
What is the common denominator of -5/6 and ((-168)/208)/(3/3*3)?
78
Let z = 2109/20 + -106. Find the common denominator of 7/55 and z.
220
Let l(b) = 3*b**2 - 5*b + 6. Let v be l(4). Suppose -g = -38 + v. What is the lowest common multiple of g and 2?
4
Let z = 212477 - 55244121/260. Find the common denominator of z and -19/20.
260
Let d = 19356 - 658049/34. Calculate the common denominator of -131/6 and d.
102
Suppose -s + 49 = -4*y + 1, 5*y = -5*s - 85. Let j = y + 13. Suppose j = -4*t + 16 + 24. Calculate the least common multiple of 6 and t.
30
Let p(z) = -10*z + 76. Calculate the smallest common multiple of p(-19) and 77.
2926
Find the common denominator of 1/3*(-219)/(-10) and 6/(-48)*(4 + 27).
40
Let r = 42/13 + -701/221. Find the common denominator of (14/5)/((-4188)/(-22685)) and r.
102
Suppose 78 = 4*f + 2*v, 0 = 4*f - 2*v - 9 - 73. Suppose 4*g = 8*g - 24. Suppose -2*u = u - g. Calculate the least common multiple of u and f.
20
Suppose 4*i - 6 = 2*k, 2*i + 5*k - 4 = 17. Calculate the common denominator of (0 + (-3)/(-3))*238/(-24) and -2 + i/6*-9.
12
Let q = -403 - -421. Calculate the smallest common multiple of 22 and q.
198
Suppose 3*v = 45 + 99. Let c = 70423/18256 + -1/2608. Find the common denominator of c and (3 - 1) + (-690)/v.
56
Let c = 1/15787 + -1405135/1452404. Find the common denominator of 43/6 and c.
276
What is the common denominator of 7/(-1) - (10 + 8148/(-576)) and -93/88?
528
Let d = -2302909/72 + 31986. What is the common denominator of 23/108 and d?
216
Suppose -34*c + 26*c + 144 = 0. What is the lowest common multiple of 148 and c?
1332
Let h = 15 + -1. What is the smallest common multiple of 8/(7/(-2) - -4) and h?
112
Let p be 113838/21 - (-4)/28. Let u = p - 162593/30. Find the common denominator of u and -89/22.
330
Suppose -a - 4 = -2*a - 2*z, 5*z + 55 = 4*a. What is the lowest common multiple of 7 and a?
70
Let d = 646 + -256. Calculate the common denominator of 95/4 and 442/d - (-3)/(-2).
60
Suppose 12 = 2*k + k. Let z(y) = 4 - 13 - y**2 - 4 + 2*y + 10*y. What is the least common multiple of k and z(10)?
28
Let o(s) = 3*s**2 - 3*s + 4. Let t = -10 - -15. Suppose -5*r = 2*q - 4, -r - q = -t*r + 11. What is the least common multiple of 8 and o(r)?
40
Suppose -9*f + 15*f = 144. What is the smallest common multiple of 56 and f?
168
Let o(s) = 17*s**3 - s**2 + 16*s - 20. Calculate the least common multiple of 54 and o(2).
432
Suppose h + 4*z = -14, -56 = 2*h + 2*h - 4*z. Find the common denominator of -23/14 and 7/h + -1*13.
14
Let r(y) = 17*y - 15. Calculate the lowest common multiple of r(2) and ((-16)/10)/(5/(-25)).
152
Let a = -41 - -24. Let z = 31 + a. What is the least common multiple of z and 14?
14
Let p = 12 - -132. Find the common denominator of 0 - (0 - 170/4) and ((-138)/p)/(2/18).
8
Suppose -l = -3*l - o - 30, 4*o + 8 = 0. Find the common denominator of 2/l*51/2 and -97/4.
28
Let l = -175 + 183. Calculate the lowest common multiple of l and 80.
80
Let f be 3/(-6) + (-4397525)/85. Let x = f - -51732. Let k = x + 4. Calculate the common denominator of 29/20 and k.
340
Let u(h) = 13*h - 1. Let p be u(2). Suppose 3*c + 2*c - p = 0. Calculate the smallest common multiple of c and ((-15)/(-6))/((-2)/(-4)).
5
Suppose -3 + 12 = -u. Let f = -11 - u. Find the common denominator of 12/7 and f/4 + 79/(-18).
63
Let j = -404 + 448. What is the least common multiple of j and 40?
440
Let n = 250 - 50. Calculate the smallest common multiple of n and 16.
400
Let u(q) = -2*q + 21. Let g be u(11). Let p = 15 - g. What is the smallest common multiple of p and 1?
16
Let i = 25279/21956 + 1/5988. Calculate the common denominator of -10/9 and i.
99
Suppose -720 = -g - 5*q - 83, -5*g + 4*q = -3272. Calculate the least common multiple of g and 10.
3260
What is the smallest common multiple of (6 - 279/27)*(0 - 33) and 234?
2574
Let b = -38933/45 + 865. Calculate the common denominator of b and 115/72.
360
Suppose -w - 6 = -p, -2*p + 4*w - 6*w = 0. Calculate the lowest common multiple of 66 and p.
66
Let o = 1/9987 - 40279/3305697. Find the common denominator of 55/2 and o.
662
Calculate the common denominator of 1/(-26)*5796/1890 and 44/13.
195
Suppose -2*x - 4 = -2*s, 0 = -4*x + s + 1. Let q(n) = -n**3 - 8*n**2 - 2*n - 7. Let v be q(-7). Find the common denominator of 337/v + x/(-3) and 109/18.
126
Suppose b = -2*b. Let y = -2 + b. What is the common denominator of (81 - y)*2/(-8) and -14/9?
36
Let l = -10 + 12. Suppose 0 = 2*w - 2 - l, 0 = -v - 4*w + 19. Let i(u) = -u + 20. Calculate the least common multiple of i(v) and 1.
9
Suppose -34 = n - 124. Calculate the smallest common multiple of 165 and n.
990
Let w(i) = -i**3 - 6*i**2 - 4*i - 1. Let n be w(-2). Calculate the common denominator of 12/n + 70/(-18) and -47/15.
45
Let b be ((-3)/(-9))/((-104860)/18). Let t = 377443561/157290 - b. Let a = -2425 + t. Find the common denominator of -41/16 and a.
48
Let p = -7/424 + 1567/212. Let o = -517 - -3109/6. Let v = 2/3 - o. Find the common 