 denominator of -43/5 and 314/60 + 6*(-11)/132.
15
Let l = 15883 + -31795/2. Calculate the common denominator of l and (-58)/(-107)*(-3)/(-4).
214
Let v = 2 + 0. Let y(o) = -3*o - o**3 + 8*o**2 + 0*o - 9*o + 2 + 0*o. What is the least common multiple of y(4) and v?
18
Let p(q) = q**3 + 4*q**2 + 3*q. Let c be p(-2). Suppose 0 = -4*a - 4*l + 4, -a - 7 = 3*l + c*l. What is the lowest common multiple of a and 24?
24
Suppose -h - 52 = -4*r, r = -23*h + 25*h + 20. What is the lowest common multiple of r and 6?
12
Let o be (3 + (0 - 2))*0. Calculate the common denominator of 17/26 and -2 + ((-69)/2 - o).
26
Find the common denominator of -14/27 and -3*3/27*(1 + -38).
27
Suppose 13*t - 1959 - 706 = 0. Calculate the smallest common multiple of 287 and t.
1435
Let z = -14011 - -1008715/72. Find the common denominator of z and -113/66.
792
Let r(c) = c**3 - 7*c**2 + 8*c - 6. Let f = 37 + -31. What is the least common multiple of 30 and r(f)?
30
Let i be (-7 - -22)*(-16)/(-6). Suppose -45*c + 70 = -i*c. What is the smallest common multiple of c and 34?
238
Let y = 95897/20 - 4796. Suppose z + z + 18746 = t, 4*t = -4*z - 37468. Let u = 93631/10 + z. What is the common denominator of u and y?
20
Let p = -5 - -27. Let o = -253 + 254. Suppose -2*n + c + 33 = 0, -4*c = n - c + o. Calculate the smallest common multiple of p and n.
154
Calculate the common denominator of 43/81 and ((-18)/168)/((540/(-736))/(-5)).
567
Let v = 37/144979 + -1616084613/14497900. Let a = -132/25 + v. Let s = -1483/12 - a. Find the common denominator of s and 9/4.
12
Let n(h) = h**2 - 4*h - 3. Let m(f) = -f**2 - 10*f - 4. Let j be m(-9). Let k be n(j). Suppose 0 = a - 9 - k. What is the lowest common multiple of 5 and a?
55
Let t be (-2385299)/40082*5/50. Let f be (-2)/3 - (-5717)/8589. Let v = f - t. Calculate the common denominator of 149/6 and v.
60
What is the smallest common multiple of 2 and -3 + 1 - (-9)/(36/16)?
2
Let d = -55 - 19. Let h = d + 136. Calculate the least common multiple of 8 and h.
248
Let j = 6142437413/2733090 - -26/455515. Let t = j - 2248. Calculate the common denominator of t and -20/27.
270
Let h(y) = y**3 + 9*y**2 - 11*y - 4. Let v be h(-10). Suppose -8 = -o - v. Find the common denominator of -10*28/(-8) - o and 57/10.
10
Let h = -9 + 12. Suppose -x + 3*l = -7 + 3, 0 = h*l - 3. Suppose 3*f = -3*w + 27, 43 + 7 = 4*w - 3*f. What is the smallest common multiple of w and x?
77
Let n be ((-1)/20)/(4/(-350890)). Let w = n - 4394. Let p = 3 + -49/4. Calculate the common denominator of p and w.
8
Suppose 5 = 149*c - 144*c. Suppose 2*b = 4*b - 2. What is the common denominator of 98/(-20) + (c - b) and -2/9?
90
Let q(o) = o**3 + 8*o**2 + 9*o - 15. Let y = 14 + -10. What is the lowest common multiple of y and q(-6)?
12
Let k(b) = -3*b - 33. Let i be k(6). Let r = -47 - i. Suppose -38 = -5*o - 3*x - 8, 0 = -3*o + 2*x - 1. Calculate the lowest common multiple of r and o.
12
Let b be 12/(-48) - 71/4. Let l = 12 + -9. Calculate the lowest common multiple of l and -6*24/b + (-1 - 0).
21
Suppose 2*r + 11 = 5*p, 3*p + 5*r - 17 = r. Suppose -3*s - p*h + 237 = 2*s, -3*s + 123 = -3*h. Calculate the smallest common multiple of 24 and s.
360
Suppose 0 = 4*m - c + 7, 4*m - 2*c + 3 = -3. Let n be -80*m/(7 + -3). Calculate the common denominator of ((-92)/n)/((-2)/5) and -25/2.
4
Let j be (-12)/42 - (-2)/(-7)*-162. Suppose c - 42 = -5*z - 10, -j = -3*c - 5*z. Calculate the smallest common multiple of c and 10.
70
Let p = 8/19 - 1297/418. Let g(n) = -26*n + 17. Let y be g(16). Calculate the common denominator of 2 + (-2 - y/54 - 0) and p.
198
Let c be (-24)/(-3 + (-16)/(-4)). Let d = c - -30. Calculate the least common multiple of 4 and d.
12
Let q be 4/2 - (-1867820)/(-88). Let m = 21219 + q. Let a = 307/2 - 160. Calculate the common denominator of m and a.
22
Let n = -3/2969 + -335455/41566. Find the common denominator of -1/8 and n.
56
Let r(f) = -f**2 - 36*f - 46. What is the smallest common multiple of 8 and r(-12)?
968
Let c = 7 + -16. Let j = c - -18. Suppose -15*n = -39 + 9. What is the least common multiple of n and j?
18
Let b = -241841/105 - -6907/3. Find the common denominator of 77/80 and b.
560
Let g be (49/(-2))/(1/4). Find the common denominator of -3 - (-2 - g/8) and -47/16.
16
Let g = -19 - -119. Calculate the lowest common multiple of 4 and g.
100
Suppose 0*w + 4 = 2*w. Suppose y - w = 3. Let x = -202 - -204. What is the least common multiple of y and x?
10
Let f = -75 - -82. Calculate the least common multiple of f and -4*(-9)/12 + 13.
112
Let s be (0 + -1)*(0 + 4). Let a be s/(40/(-23367)) - 1. Let z = 2338 - a. Calculate the common denominator of 47 and z.
10
Suppose -6 = 6*t - 6. Let o = t + 54. What is the lowest common multiple of o and 10?
270
Let t = 7 - 5. What is the least common multiple of (6 + -10)*t/(-2) and 20?
20
Calculate the common denominator of (-107)/(-5564)*34/35 and 14/3.
2730
Calculate the common denominator of 4/5 and 2 + (1404/8)/(-13).
10
Suppose 4*a - 2*a = -308. What is the common denominator of 3/(-6)*-4 - (-49)/a and 5/8?
88
Let l(r) = -r**2 - 16*r - 15. Let q be l(-16). Let x = -11 - q. What is the smallest common multiple of 2 and x?
4
Let h = 122 - 118. Calculate the smallest common multiple of h and (0 + 8)/((-1)/(-2)).
16
Let y = 205/29 - 7135/1276. What is the common denominator of -17/22 and y?
44
Let j(r) = 4*r**3 + 2*r**2 - 2*r + 2. Let z be j(2). Let t = -32 + z. What is the lowest common multiple of t and 13?
78
Let b be -2 + (0 - 2 - -2). What is the common denominator of (58/(-56))/(b/(-4)) and -23/8?
56
Let d be ((-124)/(-70))/(8/55010). Let x = -12188 + d. Calculate the common denominator of 35/2 and x.
14
Let d = 4 - 4. Suppose d = -6*k - 6*k + 360. Calculate the smallest common multiple of k and 24.
120
Find the common denominator of 117/14 and (-3635)/(-7420) - 33/77.
1484
Let z be (1 + 8)*(-6)/(-1155). Let d = z - -3649/770. What is the common denominator of d and (-3)/9 + 93/(-12)?
84
Let b = -990/23 + 13193/322. What is the common denominator of b and 3/11?
154
Let m = -53/51 - -13943/510. Let x = 108/5 - m. Calculate the common denominator of x and 107/52.
260
Let w = 139 - 142. Suppose -1 - 3 = -4*g, 5*b + 353 = -2*g. Calculate the common denominator of 65/16 and 3*w/(-198)*b.
176
Let u be (-2)/(-4) - 845/(-26). Suppose 5*v - u - 2 = 0. Let b(n) = -n + 13. What is the lowest common multiple of 2 and b(v)?
6
Suppose -5*g + g - 128 = 0. Let u be (-380)/g - 2/(-16). Suppose -f + 30 = u. Calculate the least common multiple of 8 and f.
72
Suppose -1152 = -7*q - 1047. Calculate the lowest common multiple of q and 5.
15
Let t be (-7899092461)/(-307633)*3/60. Let z = t + 4/307633. Let j = 6446/5 - z. What is the common denominator of -21/8 and j?
40
Let o = 4652 + -27845/6. Calculate the common denominator of o and 101/130.
390
Let n = 463 + 23. Calculate the smallest common multiple of n and 12.
972
Let q(u) = u**3 - 9*u**2 + 14*u + 22. Calculate the least common multiple of 14 and q(7).
154
Let a = -235/43362 - -3/803. Let f = a + 8171/2079. Let r = -65/67 - -3113/1206. Calculate the common denominator of f and r.
126
Suppose 150*h - 154*h = -20. What is the least common multiple of h and 354?
1770
Let j(o) = 3*o - 10. What is the least common multiple of j(7) and (13 + -32 + -2)*2/(-6)?
77
Let h(k) = -k + 19. Calculate the smallest common multiple of 45 and h(-16).
315
Let z(b) = b**2 - 8*b + 5. Let f be z(8). Let j(l) = l - 5. Let t be j(f). Suppose w - 10 - 8 = t. What is the smallest common multiple of w and 20?
180
Let o be (-3 - 43)/1 - 0. Let r = -117 - o. What is the lowest common multiple of r/(-4) + 9/36 and 20?
180
Suppose 5*q + 53 - 345 = -4*j, 2*j - 124 = 3*q. Calculate the least common multiple of 6 and j.
204
Suppose 2452 + 4401 = 3*m - 4*g, 4*m - 9120 = g. Let h = -15986/7 + m. Calculate the common denominator of h and -61/3.
21
Suppose 4*s = 2*y + 784, 6*s - 182 = 5*s + 4*y. What is the lowest common multiple of s and 57?
3762
Let a = -225 - -378. Calculate the lowest common multiple of 10 and a.
1530
Suppose -29*y + 450 = -23*y. Calculate the least common multiple of y and 33.
825
Calculate the lowest common multiple of (-5460)/(-450) + 1 + 34/(-30) and 4.
12
Suppose 5*k + 13 = -2*y + 31, -2*