?
2830
Suppose 8*y = 4*y + 24. Let b(i) = i**3 + 6*i**2 + 12. What is the smallest common multiple of y and b(-6)?
12
Let c = -301 + 197. What is the smallest common multiple of c/(-18) + 18/81 and 16?
48
Suppose 0 = -2*p + 2*d - 18, 2*d + 2*d = -12. Suppose 0 = -2*l - 2*h + 102, -5*l = -3*h - 15 - 232. Find the common denominator of (-915)/p*4/l and 5/4.
20
Let w(i) = i**3 + 3*i**2 - i - 3. Let k be w(-3). Let h(z) = z**2 + 2*z - 16. Let a be h(k). Let y = 22 + a. What is the smallest common multiple of 20 and y?
60
Suppose -102 = 87*u - 104*u. Suppose -j + 6 = -4. Calculate the least common multiple of j and u.
30
Suppose -4*s + 20 + 84 = 0. Calculate the common denominator of (-1 + 4)/((-10)/s) and -64/9.
45
Suppose -8*t + 21 = -t. Let z be ((-1)/(-3) - -1)*t. Suppose -2*l + z*l - 28 = 0. Calculate the smallest common multiple of 16 and l.
112
Suppose 24 = 4*h - 2*s, 2*s - 1 = 3. Suppose -w - h - 6 = 4*l, -2*w = -4*l - 10. Find the common denominator of 95/4 and (w/(-4))/((-7)/(-1022)).
4
Suppose -g = 137 - 223. Calculate the smallest common multiple of 48 and g.
2064
What is the common denominator of -93/22 and (-50)/456 + (-4 + 4)/8?
2508
Suppose -3*b + 5*j + 179 = 0, 3*b - 89 = 4*j + 86. Let r = b + -42. Calculate the smallest common multiple of 11 and r.
11
What is the lowest common multiple of (-2)/(-10) + (-649)/(-55) and 174?
348
Find the common denominator of (-6)/4*(0 - 412/120) and -29/56.
280
Let r(s) = -15 + 6*s + 6*s - 5*s. Let f be r(-6). Calculate the common denominator of (255/(-136))/(f/(-20)) and -149/18.
342
Let l(c) = c**2 - 3*c - 9. Let g be l(5). Let v be 2 - -4 - (g + 2). Find the common denominator of (v - (-308)/(-8)) + 0 and 47/6.
6
Calculate the smallest common multiple of 70 and -4 + (16000/55 - 7/(-77)).
2870
Let u = -145341 - -585497/4. Let j = -1008 + u. Find the common denominator of j and (-1)/1 - 103/(-2).
4
Let c = -86/15 - -3793/720. What is the common denominator of -61/9 and c?
144
Suppose 5*o - 175 + 185 = 0. Let v = 13 + -7. Let y = o + v. What is the least common multiple of 8 and y?
8
Suppose 3 = -p, 0 = -2*d + p + 51 + 8. What is the least common multiple of 12 and 7/(d/296) - 0?
444
What is the common denominator of 63/8 and -2 - (-3)/(693/728)?
264
Suppose 41*i - 32*i - 81 = 0. Calculate the smallest common multiple of 254 and i.
2286
Let g = 15 + 11. Suppose -2*d = -3*q + g, 3*q + 3*d - 2*d = 14. What is the least common multiple of 16 and q?
48
Suppose 2*n - 2*q - 10 = 0, 1 - 3 = 2*n + 4*q. Let t(y) = y**2 - 10*y - 9. Let j be t(10). What is the least common multiple of 8 and n/(j/(-33)) + 0?
88
Let o = 518611/1560 - 4994/15. Find the common denominator of o and 93/130.
520
Let z = -113454091 + 759348232790/6693. Let m = z - 18/97. Calculate the common denominator of m and -107/6.
138
Let j = 35315/8 + -4409. Let l = -2/669 - -11377/1338. What is the common denominator of l and j?
8
Let g = -368 - -938. Calculate the least common multiple of g and 36.
3420
Let j = 79 + -61. Calculate the least common multiple of j and 6.
18
Let u be -1 + 1 - (-7292)/(6 + -2). Let t = 3567/2 - u. Calculate the common denominator of -29/9 and t.
18
Suppose -3*v = -7*v + 16. Let d = -916 - -930. What is the smallest common multiple of d and v?
28
Let m be 2/(-1) - (-7 + -4). Suppose -2*s - m = -3*d, s + 4*d = 2*s + 17. Calculate the lowest common multiple of s and (-141)/15 + 23 + 3/(-5).
39
Let d = -18 + -104. Let j = 15 + -11. What is the smallest common multiple of j and 20/90 + d/(-18)?
28
Let o = -2493 - -20013/8. Let k = 16674 - 7453. Let f = k + -55463/6. Find the common denominator of o and f.
24
What is the common denominator of -46/27 and (-65)/(-42) - (-225)/315?
378
Suppose 3*b - 50 = 5*p + 4*b, 5*b = -2*p - 20. Let y be 72/5 - (-4)/p. Let n = -2 + y. Calculate the lowest common multiple of n and 8.
24
Let q = 62223/10 + -6230. What is the common denominator of q and -33/85?
170
Suppose 4*n - 16 = -p, 2*p + 4 = n - 0*p. Let b = n - 3. Let v(g) = 21*g**2 + 1. Calculate the least common multiple of 2 and v(b).
22
Suppose 2 = -2*i, 4*w - 6*w = 4*i - 150. Calculate the lowest common multiple of w and 77.
77
Suppose 4*m = 9 - 1. Let s be (-16)/(-32) + 1/m. Suppose -4*w + 57 = -y, 3*w - 3*y + s - 46 = 0. What is the least common multiple of 18 and w?
126
Let d = 319333/183 - 1745. Let m = d - -7889/1830. What is the common denominator of 61/15 and m?
30
Let r = 11 - 17. Let i = 56 + r. What is the lowest common multiple of (-1 - -6) + 9 + -4 and i?
50
Calculate the common denominator of -63/20 and (-13)/12*(-20)/2.
60
Let b be (-7)/(35/2)*-10. Let x = 5 + b. What is the lowest common multiple of x and 8?
72
Suppose 3*h + 3*y = 5*h - 11, -2*y = 2. Find the common denominator of -75/2 and (-308)/8 + h + -1.
2
Let f = -118 + 126. Calculate the lowest common multiple of ((-84)/f)/(-7)*(-112)/(-6) and 28.
28
Let d = -23 - -32. Suppose 0 = -19*z + 10*z + 189. Calculate the least common multiple of d and z.
63
Suppose 38 = 4*b - 2*u, -5*b - u - 2*u = -53. Suppose 4*p + d + 22 = 0, 2*p - 6*p - 20 = 2*d. Let f = p + 13. Calculate the smallest common multiple of f and b.
70
Let l = -20076757/51218892 + 2/474249. What is the common denominator of 91/18 and l?
324
Suppose 0*k - k = -2. Let i be -164*(k + (-18)/8). Suppose 111 = 5*n + i. Calculate the lowest common multiple of 2 and n.
14
Let k(z) = -4*z - 21 + 22 + 5*z - 1709*z**2. Let m be k(3). Let l = m - -307419/20. What is the common denominator of 67/10 and l?
20
Suppose -g = 5*l + 25, 4*l - 2*g = g - 39. Let y be ((-366361)/42)/(23638/l). Let f = -2/11819 - y. Find the common denominator of f and -71/20.
140
Let l = -46417/20 - -2324. Calculate the common denominator of 47/20 and l.
20
Suppose 0 = -5*l + 21 - 111. Let c = -12160663/1293 - -9405. Let t = c - -78869/2586. What is the common denominator of l and t?
2
Let b be 2/(6/29) + (-1)/(-3). Suppose 3*p = 38 + b. Calculate the least common multiple of 4 and p.
16
Let s = 35082 - 1613689/46. Let m be (-611375)/(-66) + 6/(-9). Let o = 9260 - m. Calculate the common denominator of o and s.
506
Let o = 368 - 1055/3. Calculate the common denominator of -25/32 and o.
96
Suppose h - 2*b = -1, -5*h = -2*b + 3*b - 28. Let j = 43 - 38. What is the least common multiple of h and j?
5
Suppose -234 = -11*t + 140. What is the lowest common multiple of t and 6?
102
Let t be 54*(-3)/9*2. Let s = t + 57. What is the least common multiple of s and 24?
168
Let p = -1366 - -30023/22. What is the common denominator of p and -19/4?
44
Let b(r) = r**2 + 7*r + 6. Let l be b(-6). Suppose -o - 2 - 4 = -u, -2*u - o = l. Calculate the lowest common multiple of u and 18.
18
Suppose 4*c + 219 = o + 7*c, 617 = 3*o + c. What is the smallest common multiple of 10 and o?
1020
Let c be (-4 - (-2 + -2)) + 1. Suppose c = 10*k - 9. Calculate the least common multiple of k and 2.
2
Let b = 53 - 68. What is the least common multiple of 18 and 810/b*-1*(-2)/(-6)?
18
Calculate the lowest common multiple of 40 and 18 + (-4 - (-12 + 10)).
80
Let j = 18737303/246 - 76168. What is the common denominator of -131/12 and j?
492
Let m be 2/(-464)*(1 + -3). Let w = m + -7949/348. Find the common denominator of w and -4/39.
78
Suppose -2*w = -u + 20, -w + 5 + 41 = 3*u. Calculate the lowest common multiple of ((-300)/(-210))/(11/385) and u.
400
Let v = 10373/340 - 3/340. Find the common denominator of 133/4070 and v.
4070
Let l be (-74)/(-10) - 6/15. Suppose 0 = 3*i - l + 1. Let n(s) = -s**2 + 6*s - 1. Calculate the smallest common multiple of n(5) and i.
4
Find the common denominator of 2/(-3)*123/(-12) and 2*(-2)/(-48)*(14 + 19).
12
Let i = 2 + -1. Let x = -248 + 260. What is the smallest common multiple of i and x?
12
Suppose 0 = -i + 99 - 780. Let l be ((-16339)/48)/(1*(-5)/(-10)). Let v = l - i. Calculate the common denominator of v and 59/6.
24
Calculate the common denominator of 43/22 and 330/45*15/(-368).
2024
Let f = 1411 - 1397. What is the lowest common multiple of f and (-8)/(-1*(-1)/(-2))?
112
Let l(h) = h**3 + 4*h**2 - 22*h - 46. Calculate the lowest common multiple of l(-6) and 102.
714
Suppose 3 = k + 1. Suppose -5*w - 22 = -3*j, -k*w - 6*j = -2*j - 12. Calculate the common denominator of -35/4 and 39/(-5)*w/(-18).
60
Let s = 26268 - 2311609