y = -7*y + 2346. Calculate the common denominator of -38/3 and y/(-231) - (-21)/(-49).
33
Suppose 7*d - 6*d = 6. Suppose 120 = 5*b - b. Calculate the least common multiple of b and d.
30
Calculate the least common multiple of ((-1968)/80)/(3/(-30)) and 20.
2460
Let m be (-1)/1 + -9 + 9. Let b be (-19)/(-2) - m/2. Find the common denominator of ((-34)/(-50))/(b/175) and -57/10.
10
Suppose v - 5 = -1. Suppose 2*d + 25 = 29. Let f = d + v. Calculate the smallest common multiple of f and 4.
12
Calculate the common denominator of 145/(-7)*(9 - 636/72) and 67/98.
294
Let s = -902819/172 - -20999/4. Find the common denominator of s and 75/4.
172
Let s be 4 + (-5 - -2 - -6). Let l = 12 - s. Suppose -c + 13 = -b, -2*c - l*b - 9 = -0*c. What is the smallest common multiple of c and 12?
24
Let k = 61963/574 - 760/7. Calculate the common denominator of 123/20 and k.
820
Suppose 5*o - 5*r - 180 = 0, 2*o + 3*r = -o + 84. What is the lowest common multiple of o and (2/2 - -1)*5?
160
Suppose 0 = -4*d + 20, 4*r + 2*d = 5*r - 20. What is the lowest common multiple of r and 15?
30
Let p(d) = d**2 - 18*d + 17. Let q be p(19). Let c = q - 0. What is the lowest common multiple of c and 6?
36
Let l be 299 + (-1)/(-2)*2. Suppose -2*u - 3*u = l. What is the common denominator of -11/8 and ((-2)/u)/(1/37)?
120
Let b(q) = q**3 + 8*q**2 - 2*q + 3. Let c be b(-6). Suppose -5*p + 393 = -c. Suppose 14*d - 17*d + p = 0. Find the common denominator of 43/11 and d.
11
Let h = 7189/788 + 3/1576. Find the common denominator of 17/184 and h.
184
Let g(y) = -y**3 - 4*y**2 + 7*y + 4. Let b be g(-5). Find the common denominator of 246/48 + 0/9 + 5 and (-88)/b + (-2)/4.
24
Let t be 6/(-10)*34/6. Let f = t - 2/5. Calculate the common denominator of (-20)/(-14)*(-9)/3 and f.
35
Suppose 5*j - 3*g = 51, 29 = 2*j + j - g. What is the least common multiple of 50 and j?
450
Let d = 5/2 - 103/16. Let r(x) = 1726*x**2 + 2*x - 1. Let a be r(2). Let w = 96811/14 - a. Calculate the common denominator of w and d.
112
Let x = 6927/2618 + -39/119. Find the common denominator of -125/18 and x.
198
Let x(i) = i**2 + 11*i + 7. Let r(k) = -14*k + 3. Let l be r(1). Let a = 30 - 20. Calculate the least common multiple of x(l) and a.
70
Let y(a) = 125*a + 17. Calculate the smallest common multiple of 16 and y(1).
1136
What is the common denominator of 252/1856 + (-16)/(-256) and 35/2?
116
Suppose a + 3*w = 5, -4*w + w = 2*a - 19. Suppose -r + 372 - 24 = 0. What is the smallest common multiple of a and 4/16 - r/(-16)?
154
Let y = 263 - 257. Calculate the lowest common multiple of y and 2.
6
Let l be 0 + 6 + (-4)/(-1). What is the common denominator of -1 + 2 + 339/(-18) and (1 + (-16)/l)*(-2565)/(-38)?
6
Let u(j) = 101*j - 25 - 106*j - 26. Calculate the lowest common multiple of 36 and u(-15).
72
Suppose -5*d + 4 + 6 = 0. Let q(o) = 2*o**3 - 2*o**2 - 3*o + 2. What is the smallest common multiple of 19 and q(d)?
76
Let s = -1/13921 - -1851511/250578. Find the common denominator of 30/11 and s.
198
Let a = 10 - 10. Suppose a = -13*g + 11*g + 24. Suppose -2*t - 4*l + 29 = l, -4*t + 33 = 5*l. Calculate the lowest common multiple of t and g.
12
Suppose 0 = -4*g + 5*w - 12, g + w - 14 = -4*g. Suppose -g*q - m = -64, q - m - 25 = -5*m. Let o = q + -23. What is the smallest common multiple of 2 and o?
10
Calculate the smallest common multiple of ((-3)/(-15)*-4)/((-16)/80) and 128.
128
Suppose -2*c + p = 4*p + 19, 5*c - 3*p = -16. Let a = 9 - c. Let j = 60 - 40. What is the least common multiple of a and j?
140
Let w = -10868 + 130309/12. Let g = 1621/104 - 318/13. What is the common denominator of w and g?
24
Let f = -2/7 + 187/91. Let c = f + -317/91. Calculate the common denominator of 69/8 and c.
56
Let a be 3/(1*(-18)/96). Let i(q) = -3*q - 35. Suppose 0 = r - 2*g - 3 - 0, r + 3*g + 2 = 0. What is the least common multiple of i(a) and r?
13
Suppose 0 = 6*c + 198 + 30. Let v = -20 - c. What is the lowest common multiple of 18 and v?
18
Suppose 0*p + 22 = 11*p. Let o = 6 + -4. Suppose -5*u - 6 = -n, p = o*n - 2*u + 22. What is the common denominator of -17/23 and n?
23
Let p be ((-71)/957)/((-2482)/(-828) + -3). Let x = -780/29 + p. Find the common denominator of 11/5 and x.
55
Let k = 82 + -16. Let f = 80 - k. What is the smallest common multiple of f and 8?
56
Let b(i) = i**3 - 8*i**2 + 7*i + 1. Let l be b(7). Let p(f) = f**3 + 7*f**2 + 3*f - 10. What is the smallest common multiple of 5 + 12 - (l - 2) and p(-6)?
72
Let s be (-6)/4 + 4345/2810. Let d be (14/1967)/(22/8292). Let x = d - s. What is the common denominator of 73/3 and x?
33
Let v = -4 + 6. Suppose 3*q = -v*q + 105. Let n = q - 10. Calculate the smallest common multiple of 1 and n.
11
Let n = 12 + -21. Let a(f) = 6*f + 58. Suppose 2*m = -m + 3*q + 60, 4*m = -q + 70. What is the least common multiple of m and a(n)?
36
Let p = 1029 - 969. What is the smallest common multiple of p and 120?
120
Let t = 516 - 496. What is the least common multiple of t and 10?
20
Let c be 1 + (-155)/9 - 4/(-18). Calculate the smallest common multiple of 7 - (-1 - c/(-4)) and 44.
132
Let h be 6 + -4 - (985547 + 2). Let u = 5926949/6 + h. Let s = -2283 + u. What is the common denominator of s and -49/6?
6
Suppose 23 = 2*m + 7. What is the least common multiple of m and 8?
8
Let a = 44405/16 - 2774. Let u = 8504 - 50911/6. Find the common denominator of u and a.
48
Let h = -4 + 4. Calculate the common denominator of (-411)/60 - 20/50 and h + 0 - (-298)/36.
36
Let r be 2*2/8*4. Suppose -g - 2 = -2*g. Calculate the lowest common multiple of g and (r + 0 + -1)/((-2)/(-16)).
8
Let l = 29/49 - -1717/245. Calculate the common denominator of l and 117/(-6) + 16/4.
10
Suppose 3*w + w = -296. Let i = -66 - w. What is the smallest common multiple of i and 18?
72
Let s = 6 - 3. Let n(v) be the second derivative of v**4/6 - 2*v. Calculate the lowest common multiple of s and n(-1).
6
Let v = 68932761/308 + -223808. Find the common denominator of -33/14 and v.
308
Let c = -27034/9 + 2999. Let k = -2652 - -79513/30. Calculate the common denominator of c and k.
90
Suppose 4*o + 660 - 1792 = 4*t, 3*t + 1129 = 4*o. Calculate the lowest common multiple of 364 and o.
3640
Let p = 302650 - 1825295/6. Let l = p - -1575. Calculate the common denominator of 1/22 and l.
66
Let n(p) = 0*p + 7*p + 4 + 9 - 4*p. Calculate the lowest common multiple of 1 and n(-4).
1
Let a = -7511 - -90005/12. Find the common denominator of a and -1*2 + (4 - 49/(-20)).
60
Suppose 0 = 2*b + l - 205, -4*b = -5*b + 4*l + 98. Calculate the lowest common multiple of b and 54.
918
Let w(z) = z**2 + 5*z - 3. What is the smallest common multiple of 3 and w(4)?
33
Let p(m) = m**2 - 10*m - 2. Let g(d) = d**2. Let c(b) = -2*g(b) + p(b). Let q be c(-10). Find the common denominator of 9/(-4)*q/7 and -55/16.
112
Let t(o) = -o**3 + 6*o**2 - 6*o + 6. Calculate the smallest common multiple of 15 and t(3).
15
Suppose -2*z + 5*z = 60. Let b be ((-3)/6*0)/2. Suppose b*w - 2*w = -12. Calculate the lowest common multiple of z and w.
60
Let q = -266809/73234 - -2/5231. Find the common denominator of 2 - 126/20 - (-44)/(-110) and q.
70
Suppose 2*l + 39 = -5*i + 120, i - 19 = l. Let q = 26 - i. What is the smallest common multiple of 1 and q?
9
Let h = -228 + 323. Calculate the least common multiple of h and 65.
1235
Let n = 1951/3 - 5644237/8679. Let t = 309539/17358 + n. What is the common denominator of (-6902)/2244 + 2*(-1)/(-12) and t?
66
Suppose 5*c - 230 = -810. Let p = -205 - c. Let d = p + 131. What is the lowest common multiple of d and 20?
420
Let q(h) = 6*h - 2. Let g be q(-2). Let n = -13 - g. What is the smallest common multiple of ((-50)/35)/(n/(-7)) and 22?
110
Suppose 1450*m - 120 = 1438*m. What is the least common multiple of (6/4)/((-2)/(-4)) and m?
30
Let x = -1890 - -1900. What is the lowest common multiple of x and 72?
360
Let q(s) = -s**3 + 5*s**2 + 26*s - 19. Let j be q(8). What is the common denominator of 12948/4320 - j/(-27)*2 and -36/25?
200
Suppose -j + 0*j = c - 14, 4*j - c - 56 = 0. What is the common denominator of (-4)/j + 0 + 402/(-112) and -11?
8
What is the common denominator of 93/16 and -41 + 44 + -1*77/12?
48
Let d = 311 - 289. What is the smallest common multiple of 6 and d?
66
Let p(c) = -c**3 + 2