 - 16*d**2 - 17*d - 14. Let r be w(17). What is the lowest common multiple of 4 and (-21)/r*88/3?
44
Let l = -395991/70175 - -1/20050. Let m be (-161695)/100 - (-3 + 1). Let j = m - -1618. What is the common denominator of j and l?
140
Suppose 0 = 5*i + 2*y - 100, 3*i + 2*y + y - 60 = 0. Suppose 2*l = 3*l - 3. Suppose 25 = l*r - 23. Calculate the lowest common multiple of r and i.
80
Let z(i) = -i**2 + 11*i - 20. Suppose 4*t - 38 = -2*q + 6*t, 5*q - 122 = -4*t. Calculate the smallest common multiple of q and z(5).
110
Suppose 9 = -5*n + 2*n - 2*w, 0 = -w. Let q(o) = 2*o - 2*o**3 - o**2 - 1 + 3*o**3 - 2*o**3. What is the least common multiple of 9 and q(n)?
99
Suppose -i + 1 = 0, -4*x + 5*x = i + 15. Calculate the smallest common multiple of 4 and x.
16
Suppose -2*w - 520 = 5*u + 2*w, -4*u = -3*w + 416. Let o = -791/8 - u. What is the common denominator of o and -39/8?
8
Suppose -2*x - 20*i = -25*i - 614, -3*x + 912 = -3*i. Calculate the least common multiple of 28 and x.
4228
Let z = -10 + 22. Calculate the least common multiple of ((-28)/(-35))/((-4)/(-10)) and 1*(-1)/(-2)*z.
6
Let v be -3 - -2 - (2/(-1) - 81). Let d = -58 + v. What is the smallest common multiple of 21 and d?
168
Let c(z) = 32*z. Let s(b) = -11*b. Let p(t) = -4*c(t) - 11*s(t). Let f be p(-1). What is the common denominator of -83/14 and ((-33)/(-6))/(10/f)?
140
Let h = 10 + -7. Suppose -2*t - 1 + 13 = -j, -5*j - 8 = h*t. Suppose -53 = -t*z + 3. Calculate the smallest common multiple of 18 and z.
126
Suppose 3 = 2*k - 49. Suppose 5*n = 2*w - 52, w - 4*n = -n + k. Calculate the smallest common multiple of w and 28.
364
Suppose 1 - 45 = -3*q - 2*a, 0 = -4*q - 2*a + 58. Let s = -23 + 26. What is the least common multiple of q and s?
42
Suppose 0 = 5*n - 23 - 2, g - 2*n - 333 = 0. What is the smallest common multiple of 2 and g?
686
Calculate the common denominator of (3/(-18))/(176/(-1752)) and -51/32.
352
Suppose c - 5*r + 22 = 0, -4*c - r = 79 - 12. Let t = 23 + c. Suppose -1 = 4*o - 33. Calculate the least common multiple of o and t.
24
Let w be -2 + 16/(-10) + 8/(-20). Calculate the lowest common multiple of 12 and (-3)/w*-1 + (-326)/(-8).
120
Suppose -2*d + d + 5 = 0. Suppose d*j = -202 + 12. Find the common denominator of j and (-27)/12*-18 - 1.
2
What is the common denominator of -23/24 and (-8025)/(-225)*1/38?
456
Suppose 5*u - 9*u + 8 = 0. Calculate the least common multiple of 586 and u.
586
Let v = 16 - 32. Let c be (4/16 - -2)/((-3)/(-32)). Let g = v + c. What is the lowest common multiple of g and 3?
24
Let v(y) = -y + 92. Calculate the least common multiple of v(-4) and 6.
96
Suppose 4*r - 4*l = 40, 22 + 2 = 2*r - 4*l. Suppose 2*t - 12 - r = 0. Calculate the smallest common multiple of 82 and t.
410
Suppose -5*i + 125 = 5*x, -x - 5*i + 5 + 8 = 0. What is the least common multiple of 40 and x?
280
Let j = 2/517 + 5669/4653. Find the common denominator of j and -43/51.
153
Let t be (-6)/(-10)*3/((-12)/(-20)). What is the smallest common multiple of 6/((1/(-2))/(t/(-2))) and 6?
18
Let n(g) = -g**2 - 11*g - 20. Let q be n(-10). Calculate the least common multiple of ((-22)/55)/(4/q) and 7.
7
Let l be 13 + (-3 - -5 - -1). Let u = -10 + l. Calculate the smallest common multiple of 38/u - 3/9 and 11.
66
Let o = 9 + -4. Suppose 5*h - 5 = -0*v - o*v, 2*v + 26 = 5*h. Suppose 118 = h*x + 30. What is the smallest common multiple of x and 10?
110
What is the lowest common multiple of 392/17 + 222/(-3774) and 460?
460
Let p = 1 + 3. What is the smallest common multiple of (-1 - -2)*p*1 and (-2 - -3)/(4/8)?
4
Let z(v) = 2288*v + 2. Let a be z(10). Let n = 686581/30 - a. Let w = 223/4 - 233/4. Calculate the common denominator of n and w.
30
Let h = 38587/6 - 6446. What is the common denominator of h and 91/88?
264
Let a(z) = z - 2. Let v(t) = -t + 2. Let n(b) = 2*b - 1. Let s be n(2). Let f(c) = s*v(c) + 4*a(c). Calculate the lowest common multiple of f(6) and 10.
20
Calculate the common denominator of ((64/21)/8)/((-2)/4) and 5/21.
21
Let n be 132/(-48) - 1/4. Let w be ((-912)/64)/(n/(-8)). Find the common denominator of 54/w - (-24)/6 and 45/11.
209
Let v = 170 - 164. What is the least common multiple of v and 48?
48
Let i(q) = q**2 + 51*q + 216. Calculate the smallest common multiple of 42 and i(-47).
84
Let q(d) = d**3 - 12*d**2 + 14*d - 12. Calculate the least common multiple of q(11) and 9.
63
Suppose 0*p = 2*p. Suppose p = h + h - 8. Calculate the smallest common multiple of 20 and (16/(-10))/h*-25.
20
Let v = 10 - 8. Let l be (-1 - 3)*(-6)/12. Suppose l*n - 6 = 32. What is the smallest common multiple of n and v?
38
Suppose 0 = 5*s - 13 - 7. Suppose s*z - 48 = 2*b + 2*b, 3*b - 48 = -4*z. What is the common denominator of 93/10 and ((-8)/12)/(z/89)?
90
Let k = 319/207 - 38/23. Let v(l) = l**2 - 7*l. Let u be v(6). Find the common denominator of (117/u + -2)/(-4) and k.
72
Find the common denominator of 61/8 and (-43)/(-172)*194/(-36).
72
Let d = 230 + -220. Calculate the least common multiple of 29 and d.
290
Suppose 5*x - 7*x = -6. Suppose k + x*k = 112. Calculate the least common multiple of 4 and k.
28
Calculate the common denominator of -9/35 and 1348/190 - (-12)/114.
35
Let x = 18 + -14. Suppose 3*s - 32 = -5*o, -x*o + 8 = 5*s - 7*o. Suppose 4*u + s = 20. Calculate the lowest common multiple of 3 and u.
12
Let m(j) = j**2 - 5*j - 10. Let l be m(7). Calculate the common denominator of 139/24 and (-5)/(280/274) + l.
168
Let g(a) = -6*a + 4. Let c be g(1). Let t = 42403/210 + -2912/15. Calculate the common denominator of t and 518/196 - c/2.
14
Let j = 508 + 329. Let o = -2039 + j. Let w = o - -4755/4. Find the common denominator of w and 79/10.
20
Calculate the lowest common multiple of (-27)/12*(-80)/3 and 16.
240
Let w = -490 - -550. Calculate the lowest common multiple of w and 16.
240
Let s = -369 - -564. Calculate the smallest common multiple of s and 165.
2145
Calculate the least common multiple of (-6)/(-10) - (-17)/((-85)/(-762)) and 4.
612
Suppose 0 = 2*x - 3*x + 3, 0 = 4*n + 3*x - 669. What is the smallest common multiple of n and 1?
165
Let k be (3 + -2)/(2 + -3). Let u = 5 - k. Calculate the common denominator of 23/11 and ((-4)/u)/(20/6).
55
Let n = -661 + 2735/4. Calculate the common denominator of n and -79/16.
16
Suppose -5*x - 6 - 4 = 2*q, -2*x = -5*q - 83. Suppose -8 - 12 = -2*a. Calculate the least common multiple of 6/((-4)/(160/q)) and a.
80
Suppose 0 = 5*c - 4 - 6. Suppose -2*o = c*o + 1620. Let i = o - -861/2. Calculate the common denominator of 22/5 and i.
10
Let d be (-12)/(-16)*(-16)/(-6). What is the least common multiple of (-135)/(-6) + (-2)/4 and (d*(-11)/3)/((-4)/12)?
22
Let x(n) = -n**3 - 4*n**2 - 2*n + 2. Let u(v) = 2*v**2 - 34*v - 4. Let s be u(17). What is the least common multiple of x(s) and 22?
110
Let i(w) = w + 1. Let f be i(-2). Find the common denominator of -33/26 and (14/(-504))/(f/(-122)).
234
Suppose 2*d - 12 + 16 = h, 3*d - 15 = -2*h. Let i be (-4)/6 + (-23)/(-3). Suppose h = -l + i. What is the smallest common multiple of 6 and l?
6
Let m = 6511120 + -8829080903/1356. Let b = m + -110/113. What is the common denominator of b and 79/39*(-27)/18?
156
Let g(c) = 14*c**3 - c**2 - 11*c + 11. Let p be g(-10). Let n be 3/(-12) + (-558678)/(-40). Let i = p + n. Find the common denominator of i and -43/6.
30
Let f(a) = -3*a - 33. Let l be f(-15). What is the common denominator of (-260)/l + (-1)/2 and -39/7?
42
Let h be (-14)/63 + (-2456)/(-684). Let p = h - 997/76. Calculate the common denominator of p and -38.
4
Suppose 6*g = 5*g + 3. Suppose -g*c - 6 = 3, -5*c + 1 = 2*z. Find the common denominator of (-18)/(-10) - (-4 + z) and 19/9.
45
Suppose -4*r - 2*o + 12 = 0, r - 2*o + 4*o = 0. Suppose -r*k - 4*h + 12 = 0, -5*k + 18 = -h - 27. Calculate the lowest common multiple of 1*8*(-10)/(-8) and k.
40
Suppose -28*r = -33*r + 10. Suppose 0*x + 124 = 5*k - r*x, x + 50 = 2*k. Let m = -10 + k. Calculate the smallest common multiple of m and 28.
28
Calculate the common denominator of 61/22 and ((-1751)/34)/(1 - (3 + 8)).
220
Let t = 3/6448 + 127213/290160. Find the common denominator of -71/165 and t.
1980
Suppose 5*b - 3*n - 5 - 22 = 0, 5*n + 32 = 4*b. Suppose 2*h + 0*g = -3*g + 13, b = -3*h + 3*g. What is the smallest common multipl