**3 - 8*m**2 + m - 7. Let x be c(8). Let i be -2*(6/(-4))/x. Suppose i*z = z + 28. What is the least common multiple of 2 and z?
14
Let t(h) = -h**2 - 7*h + 10. Let n be t(-7). What is the common denominator of 137/6 and n*(-5)/(-44) - 1?
66
Let v be ((-14)/8 + 1)*-4. Suppose -13 = -v*q + r, r + 2*r - 21 = -q. Let y(g) = -g + 7. Calculate the lowest common multiple of 7 and y(q).
7
Let i = -565/18 + 17/9. Find the common denominator of (-9)/12*(-212)/(-18) and i.
6
Suppose -5*w = 5*v - 40, 2*v + 19 = 3*w + 4*v. Let o(u) = -u - 9. Calculate the lowest common multiple of (w - 9)/((-3)/2) and o(-19).
20
Let j = 20 - 10. What is the least common multiple of j and 20?
20
Suppose 3188 = -5*i + 2*t, -1281 = 2*i - 0*i + 5*t. What is the common denominator of -18 and (-2)/7 + i/(-28)?
2
Let h = 29 - 25. Suppose -5*p + 3*d = 155, 0*p + 124 = -h*p - d. What is the common denominator of (-2)/(-5) + 208/(-70) and p?
7
Suppose -3*r + 24 = -5*y - 4, 3*y + 14 = -r. Let m(t) = 8*t**2 - 8*t + 7. Calculate the smallest common multiple of r and m(2).
23
Let p be (-2)/4 + (-2622)/20. Suppose 5*w = 3*w + 4*a + 258, 2*w = -a + 278. Let o = w + p. What is the common denominator of 111/10 and o?
10
Find the common denominator of ((-804)/16*-2)/6 and 81/8.
8
Let c(w) = w**2 + 3*w + 4. Calculate the lowest common multiple of c(3) and 20.
220
Let k = 138011/14 + -9864. Let m = 154505 - 2454465/16. Let n = 1099 - m. Find the common denominator of n and k.
112
Find the common denominator of (4/(-12))/((-6)/17) and -37/8.
72
What is the lowest common multiple of 10 and 56/8 + (0 - 1)?
30
Let m = 763354806324 + -432625229643898943/566742. Let s = -2/25761 - m. Calculate the common denominator of s and (-1 - 0) + 155/6.
66
Let n = 53710 - 13320033/248. What is the common denominator of n and -11/10?
1240
Let x(y) = 61*y**2 - 2*y + 1. Let b be x(1). Find the common denominator of 55/8 and 522/b + (-1 - -1).
40
Let o be 2/1 + -11 + -1. Let h be ((-515)/o)/((-2)/8). Calculate the common denominator of -91/6 and h/(-36) + -2 + 1.
18
Suppose -d = -h - 11, -h - 20 = -0*d + 2*d. Let p = -133/18 + 38/9. What is the common denominator of p and (600/616)/((-4)/h)?
66
What is the common denominator of (217/(-98))/(0 - -1) and -67/22?
154
Let b(h) = 2*h**3 - 4*h**2 - 11*h + 7. Calculate the lowest common multiple of b(5) and 18.
306
Let g(k) = -k**2 + 5*k. Let h = 100 - 90. What is the smallest common multiple of h and g(4)?
20
Let f = 944 - 1322. Find the common denominator of -13/10 and ((-8)/(-48))/(16/f).
80
Let i = 9 - 3. Let f = 5 - 1. What is the lowest common multiple of i and f?
12
What is the smallest common multiple of 7 and (1 + 0)*-4 - -11?
7
Suppose 39 = 5*p - 41. Calculate the lowest common multiple of 4 and p.
16
Suppose -549 - 2031 = -5*c. Let n = -360 + c. Let h = 738/5 - n. Find the common denominator of -4/11 and h.
55
Suppose -2*x - 2*x = -44. Let s = x - 7. Let m = -4 + 5. What is the least common multiple of m and s?
4
Suppose -18*k = -8*k - 380. Calculate the smallest common multiple of 5 and k.
190
Let p = 40796/23 + -1774. Find the common denominator of -42 and p.
23
Suppose -37 = -5*n + z, -6*z + 2*z + 36 = 3*n. Suppose -3*l + h = -4 - 6, -4*l + 35 = 3*h. What is the lowest common multiple of l and n?
40
Calculate the lowest common multiple of 18 and 153/5 + (-9)/15.
90
Suppose -5*d + 125 = -10. Suppose -4*p - s = -d, -p = s + 2 - 5. Suppose -4*z + 9*z = 20. What is the least common multiple of p and z?
8
Let c = -3295/8 - -411. Find the common denominator of c and 18/11.
88
Let l be -4 - (-3)/(-2 - 1). Let w = l + 8. Calculate the common denominator of 28/(-5) + (5 - w) and -44/9.
45
Suppose 0 = -c - 3*k - 3 + 17, -2*k = -3*c - 2. Suppose -m + 3 = -c*m. Calculate the common denominator of 43/12 and 2/m*438/40.
60
Let j be 15/(-6)*(-1 - 1). Suppose 3*d - 44 = d + 4*l, 15 = d + j*l. Suppose o - 2 = d. Calculate the smallest common multiple of o and 14.
154
Let u(l) = l**3 + 4*l**2 + 3*l + 2. Calculate the least common multiple of u(-3) and 11.
22
Suppose 12 = 2*d - 4*l, 2*d - 3*l - 2 = 9. What is the least common multiple of 19 and d?
76
Let z = 99 + -93. Calculate the smallest common multiple of z and 3.
6
Suppose 0 = 2*s - y - 15 - 20, 3*s + 3*y = 75. What is the smallest common multiple of s and 10?
20
Let l(w) = -w**3 - w + 2. Let x be l(0). What is the common denominator of ((-58)/10)/(18/(-5)) and (5/100)/(x/(-194))?
180
Suppose -3*s + 8 = -2*s. Let t be 46/(-10) + (-2)/5. Let y(k) = -k**2 - 6*k + 6. Calculate the least common multiple of y(t) and s.
88
Let t(b) = -b**3 - 14*b**2 + b + 7. Let j be t(-14). Find the common denominator of 57/16 and (-1650)/(-280) + 1/j.
16
Let y be 6/(-4) + 60/8. Let j(z) = -9*z + 6. Find the common denominator of j(y) and 38/3.
3
Suppose 0 = -b - 2*b + 21. Let u(m) = m**2 - 4*m - 2. Let v be u(4). Calculate the smallest common multiple of 1 - (v/2 - 1) and b.
21
Let y = -28762/9 + 3191. Calculate the common denominator of ((-6)/(-20))/(6/56) and y.
45
Let u(f) = f**3 + 7*f**2 + 3. Let p be u(-7). Suppose 8 + 2 = 4*i - 3*t, i + p*t - 10 = 0. Calculate the least common multiple of 2 and i.
4
Let i(h) = h**2 - 7*h + 1. Let t be i(7). Suppose -2*p = a - p - t, 4*a - 34 = 2*p. What is the smallest common multiple of a and 18?
18
Suppose 2*l + 3*l = 3*m - 9, 2*l + 2*m = -10. Let t(d) = d**2 - 3*d + 2. What is the smallest common multiple of 6 and t(l)?
60
Suppose -5*s + 13 = b - 1, -s = -2*b + 28. Calculate the smallest common multiple of (-286)/(-14) - (-6)/(-14) and b.
140
Suppose 2*l - 6 = 0, 0 = 4*w + l - 4*l + 9. Suppose 35 = 5*p - 3*z, w = 5*p + z - 14 - 1. Calculate the lowest common multiple of p and 2.
4
Let o = -3844/189 - -1/189. Find the common denominator of o and 18/(-63) - 257/(-42).
6
Suppose -3*m - 2*m + 2*d + 670 = 0, -5*m + 645 = 3*d. Let h = 8850 - 159353/18. What is the common denominator of h and 24/m + 50/88?
36
Suppose 4*f = -4*a - 48, 3*f - 2 = -2*a - 35. Calculate the common denominator of 231/20 + 1/(-4) and ((-11)/14)/(f/(-90)).
70
Suppose -11 = -5*k + 14. Find the common denominator of -58/3 and (4 + -9)*46/k.
3
Let m = 14800 - 28287. Let f = m - -215709/16. Let a = 277561/88140 - -4/4407. Calculate the common denominator of f and a.
80
Let d be ((-10)/15)/((-2)/252). Calculate the common denominator of (837/d)/((-3)/(-2)) and 103/14.
14
Suppose 58 + 47 = 7*l. Calculate the lowest common multiple of l and 6.
30
Let m = 56415/19 - 2971. Calculate the common denominator of -19/7 and m.
133
Let o = 128/3 - 45. Calculate the common denominator of (-2)/30*6*85/(-12) and o.
6
Suppose 5*u - 3*j - 16 = 93, -3*u + 61 = -4*j. Calculate the lowest common multiple of 11 and u.
253
Let h be 53286/(-10) + 8/(-20). Let x be 64138/10*(-5)/(-6). Let f = x + h. Calculate the common denominator of -71/10 and f.
30
Suppose 0 = -5*q - 5*g + 9 + 26, -5*g = 3*q - 27. Calculate the lowest common multiple of q and 36.
36
Suppose -4*b - 28 = -0*f - 5*f, f + 2 = -3*b. Let v = -7 - -10. What is the smallest common multiple of v and f?
12
Suppose 0*i + i = 1. Let w = 3 - 1. Calculate the least common multiple of i and w/(-6) - (-32)/6.
5
Let n = 8 - -2. What is the smallest common multiple of n and 18?
90
Suppose -4*f + 6 + 66 = 0. What is the least common multiple of f and 21?
126
Let c(t) = -2*t - 9. Let w(a) = -1 - 7 + a - 2 - 2*a. Let u(p) = 2*c(p) - 3*w(p). Calculate the least common multiple of 2 and u(0).
12
Let n be 2 + -8 + 4 - -5. Suppose 0 = -n*a + 4*k + 37 + 9, -2*a = k - 38. Calculate the lowest common multiple of 12 and a.
36
Suppose o = -224 - 1. Let k = 275916 - 3032605/11. Let u = k + o. What is the common denominator of u and -25/3?
33
Let x = -56093/7140 + -36/595. What is the common denominator of 101/16 and x?
48
Suppose -3*g - 2*g - 31 = -4*o, 0 = -5*o + g + 23. Suppose 4*l = 44 + 20. Calculate the lowest common multiple of o and l.
16
Suppose -17*b - 6 = -20*b. Calculate the lowest common multiple of b and 36.
36
Suppose 0 = -z + 2, -6*c - 5*z + 13 = -3*c. Calculate the smallest common multiple of c and 3.
3
Suppose -5*s + 126 = 2*s. Calculate the lowest common multiple of 42 and s.
126
Let p = -1 - -1. Let u = 24 + -22. Calculate the lowest common multiple of -1 - p - -2 - -9 and u.
10
Calculate the sm