
1050
Let m(q) = -3*q - 60. Let f(x) = 14*x + 299. Let h(w) = 2*f(w) + 11*m(w). What is the least common multiple of 27 and h(-14)?
216
Let z = -41 + 77. Suppose -2*l + 4*l = z. What is the lowest common multiple of 3 and l?
18
Let h be ((-70)/50)/(8/(-14230)) + 3. Let b = h + -2479. Calculate the common denominator of -87/16 and b.
16
Suppose -2*k = -3*v - 66, -2*v - 104 = -41*k + 38*k. Calculate the lowest common multiple of 21 and k.
252
Let k = -85 - -142. Calculate the common denominator of (k/(-16))/(12/8) and 13/16.
16
Let f(u) = 6*u - 60. What is the lowest common multiple of 53 and f(11)?
318
Let o be 6/(-4)*6/93. Let u = -1094/93 - o. Calculate the common denominator of 81/10 and u.
30
Let z(r) = 4*r - 2. Let t be z(1). Let h(w) = 5*w**2 - w + 2. What is the least common multiple of 20 and h(t)?
20
Let u = -551/13 + 3989/130. Let g = -136531/168974 - -2/6499. Find the common denominator of g and u.
130
Let y = -5051/2030 - -83/58. Find the common denominator of -89/10 and y.
70
Let i be (-6)/(-9)*2/(-422). Let o = i - -31025/2532. What is the common denominator of o and 11*-18*(-2 + (-117)/(-60))?
20
Find the common denominator of -107/20 and 2142/540 + 20/(-4).
60
Let g be (49 + 1)*68/(-8). Calculate the common denominator of 3/2 - g/(-110) and 1/3 - 96/(-27).
99
What is the common denominator of ((-153)/(-108))/(46/(-4)) and 61/8?
552
Find the common denominator of -5/88 and (3 + (-5144)/1664)*30/(-3).
1144
Let v be (-14)/(-77) + (-188688)/(-33). Let h = 51533/9 - v. Find the common denominator of h and -52/73.
657
Let b(g) = -6*g - 75. What is the least common multiple of 122 and b(-13)?
366
Find the common denominator of (1/(-18))/((-67)/(-871)) and -19/69.
414
Suppose b - 274 = 2*b. Let v = 5839/33 - -32393/330. Let p = b + v. What is the common denominator of 37/20 and p?
20
Let v be -1*2 - 6/(-3). Suppose v = -c - 4*n + 31, -3*c = -4*n + 3*n - 28. Calculate the lowest common multiple of c and 3 - 0/(-7 - -5 - -1).
33
Let o be (11365/30)/((-10)/(-57)). Let m = -2160 + o. Find the common denominator of m and 194/(-6)*3/20.
20
What is the common denominator of 87/2 and 13864/2360 - (-2 + 8)?
590
Let r(z) = -9*z**2 - 3*z + 4 - z + 10*z**2 + 4. Suppose -3*k + 0*k + 30 = 0. What is the smallest common multiple of k and r(3)?
10
Suppose 18 - 6 = 6*l. Suppose l*g + 3*t + 0*t - 37 = 0, -2*t = 3*g - 43. Calculate the smallest common multiple of g and 75/5*4/10.
66
Let x = -492 - -503. What is the smallest common multiple of x and 1 - 6/(-2)*1?
44
Let y = 281 - 270. Calculate the lowest common multiple of y and 5.
55
Let r(o) = 4652*o + 2. Let i be r(2). Suppose i = p + 2*p - 5*u, 6204 = 2*p - 2*u. Let a = 31097/10 - p. Find the common denominator of -61/12 and a.
60
Let o = -33322 - -55983. Let c = -679733/30 + o. Calculate the common denominator of 149/30 and c.
30
Let a(r) = 2*r - 41. Let h be a(23). Suppose -5*x + 0*b + 20 = -h*b, b + 20 = 3*x. Calculate the least common multiple of 4 and x.
8
Let m = 70121/9 - 7796. Calculate the common denominator of m and ((-22)/12)/((-2)/16).
9
Let p = -160 - -190. Suppose 0 = -2*s - 0*s + 60. Calculate the least common multiple of p and s.
30
Suppose b - 5*b = -16. Suppose 0 = h - 4 - 1, p + h - 7 = 0. What is the lowest common multiple of p and b?
4
Let t = 2/301 + 1847/301. Calculate the common denominator of t and -21/97.
679
Find the common denominator of ((-1394)/41)/(-1*11) and 38/183.
2013
Let c = 42 - 30. Suppose -j - 3*r = -20, 5*r + 5 = j + 1. Calculate the least common multiple of j and c.
84
Let w = 44281/2 - 21569. Let r = 1748/3 - w. What is the common denominator of r and -109/10?
30
Suppose s - 5*s = -16. Suppose 2*c = -c + 5*v + 118, 2*c - s*v - 80 = 0. What is the smallest common multiple of c and 16?
144
Let s be (1 + -3)/(4/6). Find the common denominator of (-6 - (-140)/25) + 602/(-20) and s/8*(-110)/3.
4
Suppose -2*i = -6*i - 8. Let y(m) = -m**2 - 3*m - 2. Let n be y(i). Let h(b) = b**3 + b**2 + b + 14. Calculate the least common multiple of 4 and h(n).
28
Find the common denominator of -43/28 and (-5871)/1976 + 2 + (-56)/26.
56
Let u(k) = -k**2 - 16*k + 25. Let o = -50 + 33. Calculate the least common multiple of (1 + 2)*(0 + 6) and u(o).
72
Let j = 210305/27 - 7788. What is the common denominator of -43/6 and j?
54
Let q = -1471/735 - -36/49. What is the common denominator of -20/3 and q?
15
Let l(o) = -o + 30. Calculate the lowest common multiple of l(-33) and 7.
63
Let k = 995 + -629. Let x = -693/2 + k. Find the common denominator of -83/2 and x.
2
Suppose -2*g + 10 = 3*g. Suppose -5*o - 5*l + 40 = 0, -14 + 7 = -o - 2*l. Calculate the lowest common multiple of o and g.
18
Let r(y) = -14*y - 14. Let v be r(-6). Suppose 5*l + 4*i = v, 4*l - i = -0*l + 56. Calculate the smallest common multiple of (24/9)/(2/3) and l.
28
Let k be (94/(-8))/((-13)/52). Let q = -23 + k. What is the least common multiple of 16 and q?
48
Suppose -t = -3*t - y + 107, 0 = -t + 2*y + 61. Let l = t + -40. What is the least common multiple of l and 11?
165
Let b = 1527 + -1515. What is the smallest common multiple of b and 84?
84
Suppose 352 = 6*f - 17*f. Let r = 2 - 1. Calculate the common denominator of -1 + (-188)/f*r and 45/16.
16
Let b = -74283452 - -150052584403/2020. Let m = b + -1/4040. What is the common denominator of m and 61/(-10)*1/(-2)?
40
Let j = -4297 + 4321. Suppose 3*i - 2*i = 51. What is the lowest common multiple of j and i?
408
Let y = -744 + 1064. What is the smallest common multiple of 352 and y?
3520
Let f = -8072 - -96943/12. Calculate the common denominator of 109/102 and f.
204
Suppose -2 = 4*t - 2*t. Let n(f) = -7*f - 1. Calculate the least common multiple of 5 and n(t).
30
Suppose -32 = -140*m + 132*m. Let t = 6 - 4. Suppose 4*h = -6 - t, -3*h + 28 = z. What is the lowest common multiple of z and m?
68
Let f(p) = -p**3 - 10*p**2 - 11*p + 5. Let l be f(-10). Let x = l - 223/2. Let h = -1027/22 + 156/11. Calculate the common denominator of x and h.
2
Suppose -20*w + 24 + 136 = 0. What is the lowest common multiple of 120 and w?
120
Let q(z) = -3*z**2 - 8*z + 6. Let g be q(4). Let k = -68 - g. Calculate the least common multiple of k and 2.
6
Calculate the common denominator of 49/(-2)*(225/54 + -4) and (-145)/15*3/10.
60
Suppose -3*v + 128 = -5*a, 8 = -v - 3*a + 32. Calculate the smallest common multiple of 348 and v.
1044
What is the common denominator of (5344/(-240) + 22)/((-28)/(-190)) and 17/243?
1701
Let v(u) = u**2 - u + 24. Calculate the least common multiple of 24/16 + 225/30 and v(0).
72
Let r(p) = -p + 7. Let t be r(3). Suppose -5*z - 5*c = -30, c = t - 0. What is the least common multiple of ((-10)/(-3))/(2/6) and z?
10
Let g = -1246/19 - -60047/931. Calculate the common denominator of 64/35 and g.
245
Let i(y) = 190 + 191 - 392 - y. Suppose 4 = l + 2*x, -4*l = x - 5 - 4. Calculate the smallest common multiple of i(-12) and l.
2
Let g = 2146 + -8663/4. Find the common denominator of -9/10 and g.
20
Let h be ((-24)/14)/(4 - (-759)/(-189)). Calculate the least common multiple of 4/(-3)*3/(-1) and ((-4)/6)/(2/h*-3).
12
Let k(h) = h**2 + 16*h + 7. Let d be k(-7). Let r = 16/151 + -2560/1359. Find the common denominator of r and 82/14 + 16/d.
63
What is the common denominator of 59/14 and (-68)/(-588)*(-5 + 32)/3?
98
Let q = 731/140 - -33/28. What is the common denominator of q and -4 - 324/(-30) - 2*-1?
5
Let z = 5927 + -94763/16. Let g = -18957 - -38709/2. Let b = -384 + g. Find the common denominator of b and z.
16
Let k = 532 - 462. What is the least common multiple of 70 and k?
70
Calculate the common denominator of (-101)/81 + (31 - 30) and -67/9.
81
Suppose w + 1 = 0, i - 15*w - 8 = -13*w. Calculate the lowest common multiple of i and 27.
54
Let p(g) = -g - 16. Let v be p(-14). Calculate the common denominator of 3/v - (812/(-48) - -3) and (63 - -4)*2/(-16).
24
Let d = 566070 + -21247437452/37535. Let n = d - -638499/7582070. Let q = n + 6497/808. What is the common denominator of 3/8 and q?
8
Find the common denominator of 1/3 + 329/(-126) and 507/(-90) + 2/(-4).
90
Let x(v) = -37*v + 191. Let q = 46 + 4. Calculate the least common multiple of x(5) and q.
150
Let n(f) = 2*f**3 + 21*f**2 - 5*f - 2. Calculate the least common multiple of 6 and n(-7).
112