1).
432
Let v be (54/96)/((-21)/1374). Let g = v - -17/56. Find the common denominator of 97/6 and g.
6
Let b = -4 + 6. Let h(g) = 24*g + 162. Calculate the smallest common multiple of b and h(-6).
18
Let d = 63 + -26. Let z(c) = 16*c**2 - 51*c + 40. Calculate the least common multiple of z(1) and d.
185
Suppose 1652 = 15*f - 2428. Calculate the smallest common multiple of f and 128.
2176
Let j be 18/4*(-14)/(-2370). Let o = j - -39391/18960. What is the common denominator of o and 83/10?
240
Suppose 19 - 78 = -4*p + 5*o, 4*p - 4*o = 56. Let v(g) = g**3 - 6*g**2 - 6*g + 1. Calculate the lowest common multiple of p and v(7).
88
Suppose 180*m = 164*m + 400. What is the least common multiple of m and 9?
225
Find the common denominator of 9422/(-2940) + 4/5 and -57/56.
168
Let q = -68819/62205 + 6/1595. Let d = 1/168 - 27/56. Find the common denominator of q and d.
273
Suppose 5*p + 2 = 4*l, p = 3*p - 4. Suppose 3 - 9 = -l*o. What is the lowest common multiple of o and 10?
10
Let o be (-113)/15 - (-7)/21. Let k = 82/5 + o. Calculate the common denominator of k and -22/3.
15
Let v(y) = -4 + 0*y**2 + 0*y**2 + 4*y**2 + y**3. Let b(l) = -l + 1. Let k be b(4). Calculate the smallest common multiple of 2 and v(k).
10
Let q(d) = d**3 - 8*d**2 - 9*d - 42. Let v be q(10). Let w = v - 55. What is the least common multiple of w and 10?
130
What is the common denominator of (-3)/9*105/10*(-2)/8 and (-1)/(-1) - (-65)/(-8)?
8
Let z be 5 - 2 - (-3 - -3). Let a = z + 19. Calculate the lowest common multiple of a and 18.
198
Let b = -36 + 47. Suppose -8*x + 0 = -16. Calculate the smallest common multiple of x and b.
22
Let n be 534622/(-368760) + 2 + -4. Let t = n + -2/9219. Find the common denominator of t and (-89)/5*10/(-4).
20
Let j(r) = -r**3 - 5*r**2 - 8*r - 6. What is the smallest common multiple of 466 and j(-4)?
2330
Calculate the common denominator of (-59)/8*-2*2 and (-437)/460 + -5 + 9/(-12).
10
Let k(u) = -u**2 + 7*u + 205. Suppose -l - 30 = -3*l. What is the lowest common multiple of k(-11) and l?
105
Suppose 1474 = 22*a + 352. What is the smallest common multiple of 119 and a?
357
Let r = 426 - 348. What is the least common multiple of r and 9?
234
Let j be ((-25)/300)/((-5)/1454626). Let d = 24246 - j. What is the common denominator of d and (-25)/22*(-2 + 5)?
330
Let a = 4/283 - -769/5660. Let b = 12263/8 + -1541. Find the common denominator of a and b.
40
Let f(a) = -a**2 - 26*a + 5. Let t be f(-26). Suppose 6*b + t = 35. What is the least common multiple of b and 28?
140
Let u = -638 - -652. Calculate the lowest common multiple of u and 918.
6426
Let u = 79 - 53. Suppose -5 = -d - 4. Calculate the common denominator of (55/(-4))/(d/2) and u.
2
Let d be (-4)/(-4) + -1 + (-27 - -1). Let n = -25 - d. What is the smallest common multiple of n and (-122)/(-18) - 2/(-9)?
7
Suppose 20*n - 323 = 277. What is the lowest common multiple of n and 213?
2130
Let t = 1627 + -9739/6. What is the common denominator of -99/112 and t?
336
Let m = -503 - -613. What is the least common multiple of m and 4?
220
Suppose 3*z - 8*z - 3*l = -91, 0 = -z - 5*l + 5. Let h(w) = w**2 - 6*w - 28. Calculate the least common multiple of h(10) and z.
60
Let l = -30 + 36. Suppose -4*h + l*h = 16. Calculate the smallest common multiple of 14 and h.
56
Suppose 9*v - 20 = 4*v. Let p = -5 + v. Let a = p - -10. Calculate the smallest common multiple of a and 10.
90
Let v = 49469/15 + -3295. Calculate the common denominator of v and -43/14.
210
Suppose p = -3*p - 4*g + 12, 2*p - g - 3 = 0. Suppose 3*z - 3*n = 69, -p*z + z = n - 13. What is the least common multiple of 22 and z?
198
Let q(o) = -2*o - 5. Let s be (12 - 4)*-1*2. Let h = -5 - s. Calculate the smallest common multiple of q(-5) and h.
55
Suppose 2*m + 2 = 4*m - 2*l, 4*m - 8 = 3*l. Let a(y) = -y + 9. Calculate the least common multiple of a(2) and m.
35
Let i = -1275 + 1455. Calculate the smallest common multiple of i and 252.
1260
Let w = 268050429889589293/31590 + -8485293762113. Let k = 337996/195 + w. Let d = -4/243 + k. Find the common denominator of 64/3 and d.
6
Suppose 0 = -0*b - 2*b + 6. Suppose -b*g = -d - 19, -3*d = 3*g - d - 16. What is the common denominator of -45/8 and 322/40 + g/(-24)?
40
Let v = -1280101/300 + 4267. What is the common denominator of v and 137/270?
2700
Let t = -340843/19969 + -410336593703/1996900. Let a = -205502 - t. Let b = a + -351/50. Find the common denominator of 107/22 and b.
220
Suppose 39 = 3*b + 3*r, r + 20 = 2*b - 0*r. Let t(u) = u**3 + 13*u**2 + 12*u - 3. Let i be t(-12). Calculate the least common multiple of 0/i - 2/(-1) and b.
22
Let c be (-58 - -1)/(-3)*1. Suppose -2*n - 3*m + c = 0, 2*n - 12 = 6*m - 2*m. Let w = 29 - 18. Calculate the smallest common multiple of n and w.
88
Let r(n) be the first derivative of 3*n**4/4 - n**2/2 + 14. Suppose 2*c + 3*c - 55 = 0. Calculate the smallest common multiple of r(1) and c.
22
Suppose 28 = 8*a - 52. Calculate the least common multiple of a and (-3)/(-9) - 46/(-6).
40
Let z be 50/(-10)*(0 + 4/(-5)). What is the least common multiple of (4 + (4 - z))/(4/10) and 6?
30
Let k = 45 + -30. Let z = k + -7. Calculate the smallest common multiple of z and (-22)/5*(-3 - 2).
88
Let r(k) = k**2 + 17*k + 17. Let h = -21 - -5. Calculate the smallest common multiple of 3 and r(h).
3
Let t = 552013/245050 - -36/4901. Find the common denominator of t and -51/35.
350
Suppose 40 = s + 2*w, -s + 4*w + 144 = 4*s. Calculate the smallest common multiple of s and 268.
2144
Suppose -5*j = -2*j - 21. Let a = 2/267 + 3467/534. Calculate the common denominator of (2 - 5)*j/(-5) and a.
10
Let y = -8/651 + 41093/6510. Find the common denominator of (2/6)/(-1) + 142/(-18) and y.
90
Let f = 580/213 + -4/71. Find the common denominator of f and (-19)/4*(-48)/(-120).
30
Let c = 30/11 + 815/44. Calculate the common denominator of c and ((-2)/25)/(15/((-8325)/12)).
20
Suppose 0 = 4*x + 4*o - 476, 0 = -5*x - 3*o + 8*o + 605. Calculate the lowest common multiple of x and 32.
480
Let x(o) = o**3 - 37*o**2 + 36*o + 7. What is the least common multiple of x(36) and 2?
14
Suppose 2 = f + 11. Calculate the common denominator of ((-39)/f)/(3*2/4) and -93/10.
90
Let r = 80 - 80. Suppose r = -b - 8*b + 54. What is the smallest common multiple of 21 and b?
42
Calculate the common denominator of 23/196 and 5/12*6162/(-8190).
1764
Let d(v) = -4*v**3 - v - 2. Let f(a) = -a**3 + 3*a**2 - 2*a - 2. Let k be f(2). Let n = k - -5. Calculate the smallest common multiple of d(-1) and n.
3
Let z be 111/21 + (-6)/21. Suppose z*i - 2 = 13. What is the common denominator of i/4 - 169/28 and -49/2?
14
Suppose -2*c - 3*a - 5 = 0, c - 2*a - 4 + 3 = 0. Let r be -2 - (0 + c + -11). Suppose -r*f + 9*f + 3 = 0. Calculate the smallest common multiple of 2 and f.
6
Suppose -6*j - 434 + 1490 = 0. Calculate the lowest common multiple of j and 40.
880
Let m(u) = -3*u + 13. Let w be m(0). Suppose -t + 30 - w = 0. Calculate the least common multiple of 5 and t.
85
Suppose 3*s - 3*k = 189, 0 = -3*s - 8*k + 4*k + 224. What is the lowest common multiple of 16 and s?
272
Let u be 4 - (-8 + 1 + -5). Let f = 9645 - 192939/20. What is the common denominator of f and ((-6)/u)/(24/304)?
20
Let m = -1176 + 19979/17. What is the common denominator of m and (-46 - -25)*(-15)/(-54)?
102
Let w(z) = 2*z**2 + 72*z + 66. Calculate the least common multiple of w(-36) and 55.
330
Let c(y) = -y**2 + 4*y + 20. Let h be c(7). Find the common denominator of 113/10 and h/2 + 215/(-45).
90
Suppose -3*w + 551 = -k + 165, 5*k + 2*w = -1964. Find the common denominator of 1099/k - (-3)/7 and -89/22.
88
Calculate the common denominator of -55/48 and (-11)/77 - 7/((-7448)/(-1290)).
912
Let c(u) = u**3 + 9*u**2 - 8*u + 24. Suppose 0 = 5*f - 4*f + 10. What is the lowest common multiple of 4 and c(f)?
4
Let b = -1380 + 15200/11. Find the common denominator of -1 + 120/111 + 0 and b.
407
Suppose 0 = 30*c - 97*c + 4824. Calculate the smallest common multiple of 81 and c.
648
Let d = 23 + 23. Find the common denominator of (-2)/(-5) - 1312/180 and d/161 + (-578)/(-84).
18
Let b be ((-3)/(-9))/(24249/54). Let q = 1058693/242490 + b. Calculate the common denominator of 103/6 and q.
30
Let g(f) = 44*f**2 - 2*f - 2. Let b(a) = a**2 - 5*a - 25. 