d z?
120
Suppose -5*k = 4*q - 101, 3*q - 4*q + 29 = 5*k. Suppose 0 = -3*h + 11 + 1. What is the least common multiple of h and q?
24
Let m = 135 + -131. What is the least common multiple of m and 32?
32
What is the common denominator of -50/11 and 106/(-4)*56/364?
143
Let k = 6 + 4. Let b = k - 5. What is the least common multiple of b and (-42)/126*(0 + -3)?
5
Suppose -26 = 4*p - 2*f, 3*p + f = -0*p - 12. Let m be 4 - (2 + -1 - p). Find the common denominator of (m/(-6))/((-4)/148) and 74/9.
9
Let r(c) = 11*c**2 + 1. Suppose 2*h - 9 = 3*o, 0 = -0*o + 5*o + 3*h + 34. Let b = 4 + o. Calculate the least common multiple of r(b) and 4.
12
Suppose 2*j - 33 = 3*o, 33*o + 54 = 4*j + 31*o. Calculate the lowest common multiple of j and 165.
660
Suppose -115714 = -5*a + p, p - 23142 = -a + 2*p. Let l = 1018245/44 - a. Find the common denominator of 73/40 and l.
440
Let i(f) = 9 + 14*f + 0 + 3 + 8 + 13*f**2 - f**3. Calculate the smallest common multiple of i(14) and 26.
260
Suppose -z + 886 = 853. What is the lowest common multiple of 162 and z?
1782
Calculate the common denominator of 34/9 and (144/(-3735))/(3/(-30)).
747
What is the common denominator of 89/220 and (46/198)/(28/147)?
660
Let t = -2917/21 + 406/3. What is the common denominator of 42/71 and t?
497
Let f = 1537/27 - 57. What is the common denominator of f and 85/21?
189
Suppose -3*u + 50 = 4*o, 0*u + 4*o - 14 = -u. What is the smallest common multiple of 108 and u?
108
Let z = 10186395/11 + -927436. Let g = -1399 - z. What is the common denominator of 41/26 and g?
286
Suppose -3*k - 13 = 257. Find the common denominator of (-10)/20 + k/44 and 50/21.
231
Let f = -200 - -119. Let k = 97 + f. Calculate the lowest common multiple of 24 and k.
48
Let d(p) = 2*p**2 - 40*p + 209. Calculate the smallest common multiple of 1111 and d(11).
1111
Find the common denominator of (-12 - 12) + 26 + (-435)/72 and 1 + (-1)/((-44)/(-93)).
264
Calculate the smallest common multiple of 13 and 65*((-297)/45 + 7).
26
Let o = -10 - -13. Suppose 0 = o*g - k - 104, -2*g - k + 13 + 48 = 0. Find the common denominator of 149/12 and g/55 - 982/220.
132
Calculate the common denominator of -103/44 and 2/(-112)*-524 + -5.
308
Suppose -5*i - 3*u = -66, -85*i - 4*u - 28 = -88*i. What is the least common multiple of 452 and i?
1356
Suppose -y + 1 = -8. Let w(n) = 14*n - 32*n + 17*n + 4 + 1. Calculate the least common multiple of w(-6) and y.
99
Suppose 0 = -2*i - 4, 0 = -6*f + 2*f - i - 2. Calculate the common denominator of 73/4 and (f - (-255)/4)*6/(-63).
28
Let k be (-1 - 5) + 2 + 3. Let y(c) = 5*c**2 - 2*c - 2. What is the lowest common multiple of 4 and y(k)?
20
Suppose 29*z - 1368 - 372 = 0. What is the lowest common multiple of z and 3?
60
Let y(k) = -k**3 + 5*k**2 + 7*k - 5. Let f be y(6). Find the common denominator of 0 - -1 - f - (-374)/408 and -58/27.
108
Suppose 0 = -2*b + 6, 3*x - 2*b = -b - 9. Calculate the smallest common multiple of 1 + (-15)/x - (-27)/(-18) and 3.
21
Let y = -2922/7 - -413. What is the common denominator of y and -51/7?
7
Let q = 68006 - 21420949/315. Let x = 13/105 + q. Find the common denominator of 43/14 and x.
126
Suppose 27 + 51 = 3*s. Suppose 2*g - 37 = -v, g - s = 3*v - 5*v. Suppose -6*x = -79 + 7. Calculate the least common multiple of g and x.
48
Let s(n) = -6*n**2 + 8*n + 5. Let p be s(-5). Let r = -125 - p. Calculate the lowest common multiple of r and 10*2 + (1 - 1).
60
Let i(m) = m**3 + 27*m**2 - 30*m - 53. Calculate the smallest common multiple of (-1 + 2)/((-1)/(-33)) and i(-28).
33
Let i = -99 - -97. What is the common denominator of (i/(-4))/(24/424) and -23/10?
30
Suppose 5*r = 3*c + 3, 3*c - c = 4*r - 4. Let j = 2/26247 + -1863581/577434. What is the common denominator of c/(-18) + (-1346)/180 and j?
110
Let o = -224/23 - -8201/920. Find the common denominator of 91/20 and o.
40
Let k = -42629/128 - -333. Find the common denominator of -27/20 and k.
640
What is the common denominator of 25/7 and 4/18*3 + 4?
21
Let g be (-1 - 2)/(13/((-22074)/60)). Let n = g + -607/5. Find the common denominator of n and -79/4.
4
Let r = -261509/6 - -50396. Let v = r - 6828. Calculate the common denominator of v and 1/16.
48
Let o be ((-327)/(-14))/(2/(-14273)). Let z = o + 164749. Let u = -1956 - z. Calculate the common denominator of 69/4 and u.
4
Suppose -z - 7 = -a, -3*z = -2*a + 3*a + 5. Calculate the common denominator of (-459)/(-30) + 0 + z and 93/2.
10
Let y(w) = w**2 + 8*w + 6. What is the least common multiple of y(-12) and 18?
54
Let q = 5 - -12. Suppose -13*p + q*p - 80 = 0. Let w(x) = 2*x**3 - x**2 - 3*x + 1. What is the least common multiple of w(2) and p?
140
Let g = 5 + -35. Find the common denominator of 51/8 and -4 + g*(-5)/80.
8
What is the lowest common multiple of (45*2/8)/((-327)/(-3488)) and 60?
120
Suppose 5*g - 2 = 18. Suppose 0 = -2*x + 4*h + 6, 0 = -g*x + 3*h - 4*h - 6. What is the common denominator of 1/8 and (-273)/18 + x + 3?
24
Suppose -5*n + 36 = -2*n. Suppose m - 3*m + n = 0. What is the least common multiple of m and (990/891)/((-2)/(-36))?
60
Let y = -1914 - -9627/5. Find the common denominator of -73/14 and y.
70
Suppose 63*z - 486 = 54*z. What is the lowest common multiple of z and 4?
108
Suppose 0 = -4*c - 3*h - 44, 0 = -c - 0*c - h - 11. What is the lowest common multiple of 11/(c/(-20)) + -2 and 12?
36
Suppose -64*v - 918 = -70*v. What is the lowest common multiple of 99 and v?
1683
Let k = -1767 + 1779. Suppose 3*d - 26 = 4. Calculate the lowest common multiple of k and d.
60
Let n = -3747329873/300 + 12491080. Let y be (101 - -1)*6/(-75). Let j = y - n. Find the common denominator of 39/2 and j.
12
Let u(r) = -r**2 + 5*r + 16. Let z be u(7). Let x = 129/77 - -2/11. Find the common denominator of x and ((-9)/(-30))/((-298)/155 + z).
56
Let s = -90 + 135. Suppose -6*i - 3*h = -7*i - 5, -5*h = 2*i - 45. Calculate the least common multiple of s and i.
90
Let w be -2*3/24 - (-1494222)/632664. Let r = 2/2929 - w. Find the common denominator of 18/25 and r.
225
Find the common denominator of (12/(-48))/((-22)/(-136)) and 16/94*(-150)/(-24).
517
Suppose 2*a = -4*i + a + 80, 2*i - 40 = -4*a. Suppose 0 = -3*u + 4*u. Suppose u = 2*h - 3*h + 12. Calculate the lowest common multiple of i and h.
60
Let c(y) = 77*y**3 + y**2 + y - 1. Let j be c(1). Suppose 2*k = 8*k - j. Calculate the smallest common multiple of 2 and k.
26
Suppose 24 = 4*m - 4*l, -2 = -2*l - 10. Suppose 4*b = -m*b + 72. What is the lowest common multiple of 51 and b?
204
Let n = 4/39099 - 1160081/1407564. What is the common denominator of n and 77/444?
3996
Let r be (-4172)/7875 + (-2)/9. Let n = -1149/3625 + r. Find the common denominator of 31/6 and n.
174
Let t = 133 - 67. Calculate the common denominator of 12 + -10 - 232/t and -83/18.
198
Let s(i) be the second derivative of -i**5/10 + 4*i**3/3 - 3*i**2/2 + 5*i. Let j be s(6). What is the common denominator of -37/10 and (-2)/(-8) + j/(-60)?
10
Suppose 8*q = 4*q + 44. Calculate the lowest common multiple of 331/7 + -8*(-19)/(-532) and q.
517
Let d = -839/4 - -223. What is the common denominator of d and 41/180?
180
Let f = 85621 + -5650829/66. Find the common denominator of f and -19/8.
264
Let v = 29 - 20. Let h = 4 - -2. Suppose 0 = 2*n - 4 - h. What is the least common multiple of v and n?
45
Suppose 5 = -8*k + 21. Find the common denominator of -67/12 and (146/(-12))/(k - 2/(-2)).
36
Let a(y) = 3*y + 2. Let h be a(-2). Suppose 2*g + 62 = -7*q + 4*q, 5*g = -5. Calculate the common denominator of (-51)/q - (-2)/h and 73/20.
20
Let i = -2830 + 2980. Calculate the least common multiple of 90 and i.
450
Suppose p + 9 = 3*q - 2*q, -33 = -4*q + 3*p. What is the smallest common multiple of 96 and q?
96
Suppose -p - 114 = -7*p. Suppose 24*q = p*q + 55. Calculate the smallest common multiple of 1 and q.
11
Let b = -44327/18 + 2463. Find the common denominator of b and 369/6*1/(-18).
36
Let x = -342016/55 + 6218. Calculate the common denominator of x and 21/10.
110
Let s = 2509/26978 + 3/658. Let x be (-5664)/(-9184) + (-6)/(-14). Let r = s + x. Calculate the common denominator of -31/7 and r.
7
Let t be 6888 + 1 + 8/8. Let l = -55027/8 + t. What is the common denominator of 1/4 - (-189)/36 and l?
8
Let l(f) = 3*f**3 + 2*f**2 + f. Let m 