w?
110
Suppose -150 = 18*t - 23*t. Calculate the lowest common multiple of 21 and t.
210
Let j = 7 - 6. Let c be j/((2/16)/1). What is the common denominator of 1*2*90/c and 77/10?
10
Let b = 670 - 371. Let o = 651/2 - b. What is the common denominator of o and 2/(-2)*((-605)/90 + 5)?
18
What is the smallest common multiple of 7/7 - (-1 + -7) and 2 - (-2 - -1 - 2)?
45
Suppose u = 2*u - 8. Calculate the least common multiple of 7 and u.
56
Let y(q) = -4*q + 5. Let u be y(4). Let w = -2 - u. Let p = 0 - -1. Calculate the lowest common multiple of p and w.
9
Let s be 4/(-10) + 13/(-5). Let v = 4 - s. Find the common denominator of 25/4 and 230/v*(-4)/(-16).
28
Let j = 28 - -45. Let t = j + -293. Calculate the common denominator of -51/22 and (9/(-48))/(6/t).
88
Let c(h) = h**2 + 5*h - 14. Let k be c(11). Suppose -f = a + 36 + 2, -4*a - 2*f - k = 0. What is the common denominator of a and -61/5?
5
Let q = 5183737/12 + -434405. Let j be 2/(-7) + 50847/21. Let b = j + q. What is the common denominator of b and 29/18?
36
Suppose -6 = -3*n - 5*p - 1, n = -3*p - 1. Suppose -3*x - 207 = -n*q, -3*x + 82 = 2*q - 4*x. Let t = q + -25. Calculate the least common multiple of t and 22.
154
Let g = -19 - -20. Calculate the smallest common multiple of g and 4.
4
Find the common denominator of 11/2 and (59/22)/(2 - 3).
22
Let u = 28961/14 - 2067. Suppose -24 = -0*m - 2*m. Find the common denominator of 4/6 - 166/m and u.
42
Let h(f) = 5*f**3 + 2*f**2 - 2*f + 1. Let k be h(1). Let y = -72 + 117. Suppose -i = -k*i + y. What is the smallest common multiple of i and 3?
9
Let c(q) = -q**3 + 12*q**2 - 10*q + 16. Let a be c(11). Let v be (16/(-30))/((-182)/a). Let o = v - 50243/8190. Calculate the common denominator of -15/4 and o.
36
Let l be (0 + (-2 - -2))/2. Let b = 3 + l. Calculate the common denominator of -91/2 and b + (-202)/16 + 2.
8
Suppose -675291083710 = c + 4*c. Let p = c + 9687590828174582/71729. Let k = 2/10247 - p. Find the common denominator of k and -54/5.
35
Let o(l) be the third derivative of -l**6/60 - l**5/60 - l**4/12 + l**3/2 + l**2. Let d(s) = s**2 + 31*s - 181. Find the common denominator of o(2) and d(-36).
1
Let r = 2030 + -22364/11. Find the common denominator of 7/(-11)*(-5)/(-1) and r.
11
Let v = 110 - 92. Calculate the smallest common multiple of v and 1.
18
Let x = 3 - 4. Let q be x*(-14)/4*6. Let d = -11 + q. What is the smallest common multiple of 6 and d?
30
Let a(z) = -37*z**2 - z. What is the common denominator of a(-1) and 54/11?
11
Let f(x) = -11*x**2 + 1. Let n be f(-1). Let q = 26 + n. Suppose 0 = -6*t + 106 + 26. Calculate the lowest common multiple of t and q.
176
Let n(z) be the first derivative of 5*z**4/4 - z**2/2 - 1. What is the lowest common multiple of n(1) and 2?
4
Suppose 2*p - 3*g - 1 = 0, 0 = 3*p + 2*g + g - 9. Suppose 50 - 14 = p*u. What is the smallest common multiple of 16 and u?
144
Let h = 815503/39144 + -1/13048. What is the common denominator of (1/(-24))/(4/(-424)) and h?
12
Let n = -5286/187 + -1034/17. Let z = n + 9569/110. What is the common denominator of 101/18 and z?
90
Suppose 0 = -d + 302 - 1265. Let f = d - -6753/7. Calculate the common denominator of f and ((-3)/12)/((-2)/38).
28
Suppose 5*s - 38 - 12 = 0. Suppose 3*d = 4*z + d - 40, -3*z - 2*d + 30 = 0. What is the least common multiple of z and s?
10
Suppose -h - 4*h + 25 = 3*p, 4*h - 20 = -2*p. Calculate the smallest common multiple of h and 7.
35
Suppose 2*x - 8 = -c, 2*x - 4*c + 2*c - 2 = 0. What is the least common multiple of 1 and x?
3
Let z = -1/132 + 167/264. Suppose 2*j + 6 = 2*t, 3*j = 4*j + 4*t - 22. What is the common denominator of j/4 - (-292)/72 and z?
72
Suppose -3*v + 6 = -0. Suppose -2*f + 10 = v. Calculate the common denominator of -39/5 and f.
5
Let g(k) = k**3 - 4*k**2 + 2*k + 3. Let u be g(3). Suppose -3*f + 4*i + u*i = 9, -4*i = 0. Let a = -1 - f. Calculate the least common multiple of 5 and a.
10
Let r be (-1)/(-3) + (-5)/15. Let m be 21/15 - (-2 + r). Let d = -109/35 + m. Find the common denominator of d and 35.
7
Calculate the common denominator of (3/(9/(-114)))/((-36)/15) and -24/7.
42
Let v(n) = -2*n**3 - 3*n**2 - 2*n. What is the smallest common multiple of 23 and v(-2)?
184
Let c = -73/78 + -820/117. Calculate the common denominator of -7/12 and c.
36
Let x(l) = -4*l**3 + 10*l**2 - 3*l + 6. Let z(q) = 3*q**3 - 9*q**2 + 4*q - 7. Let p(h) = -2*x(h) - 3*z(h). Calculate the smallest common multiple of 9 and p(6).
9
Suppose 4*s - 20 = 0, 0*u + 5*s - 190 = -5*u. What is the smallest common multiple of 6 and u?
66
Suppose -5*z + 8 = -2. Calculate the least common multiple of 8 and z.
8
Let p = 79 - 77. Suppose 5*f - 2*d = -0*d + 19, 2*d = f + 1. Suppose -1 = -f*u + 34. Calculate the least common multiple of u and p.
14
Let j = -2 + -4. Let v = 10 - j. Calculate the lowest common multiple of v and 2 - (-1)/((-1)/(-16)).
144
Let a(d) = 1307*d**2 - 7*d - 6. Let m be a(8). Let x be (m/56)/(15/2). Let y = x + -1440/7. What is the common denominator of y and 3?
10
Let v = -24 - -28. Suppose 8 = 2*o - 2. What is the smallest common multiple of v and o?
20
Suppose 5*o - 86 = -2*q, 0 = 2*o - o - q - 20. Calculate the common denominator of o + 0 - (-1 + -1) and -9.
1
Suppose 0 = 5*c + 2*j - 7, 6*c - c + 3*j - 3 = 0. Calculate the lowest common multiple of (c + (-2 - -3))*4 and 26.
208
Suppose 5*s - 45 = -4*d, 0 = -2*s + s + d. Calculate the lowest common multiple of 3 and s.
15
Let a(m) = m**2 + 25*m - 99. What is the lowest common multiple of a(-29) and 8?
136
Let x = 70205071252 + -7020669813737/100. Let b = x - -1626867. Let l = 393/25 + b. Find the common denominator of l and -7/2.
20
Let x(y) = y + 4. Let w be x(-6). What is the common denominator of (66/(-4))/(4 - 11) and 46/72*w - -1?
126
Let l = 16101 + -193327/12. Find the common denominator of 59/14 and l.
84
Let u = -1328/7 - -32425/168. What is the common denominator of 5/4 and u?
24
What is the common denominator of 2210/39*2/15 and -47/8?
72
Let k = 84/373 - 38345/2984. Find the common denominator of k and 23/7.
56
Suppose 3*j = 7*j - 24. Suppose 0*q = -3*q - 2*b + 10, 3*q - 2*b + 10 = 0. Calculate the least common multiple of j and ((q - -3) + 3)*1.
6
Suppose 0 = -3*l + 5 + 13. Let u = 132 + -128. What is the lowest common multiple of u and l?
12
Let v = 21 - -1. Suppose -4*u = -4 - 12. What is the lowest common multiple of v and u?
44
Let p = -3129/292 + 34/73. Calculate the common denominator of p and 57/44.
44
Suppose -3*r + 4*r = 2. Calculate the least common multiple of 8 and r.
8
Suppose -15 + 5 = -5*l. Calculate the lowest common multiple of 2 and l.
2
Find the common denominator of -7/15 and 9/(-15) + 1 - 44/24.
30
Let w = 236246/13 + -4505309/156. Let x = 10700 + w. What is the common denominator of (-1)/12*(-134)/(-3) and x?
36
Find the common denominator of -35/2 and (102/4 + 2/(-8))/5.
20
Let n = 2 + -4. Calculate the common denominator of -19/4 and 1/n*(-186)/(-10).
20
Let g = 29 + -20. What is the least common multiple of g and 3?
9
Suppose -64 = 4*v - 3*p, 2*v + 4*p = -7 - 3. Let j(x) = x**3 + 18. What is the least common multiple of 12/3 + -1 - v and j(0)?
144
Let m(i) = i**2 - 13*i + 2. Suppose 0 = -5*j + x + 39, 28 = 4*j - 0*j - 4*x. Calculate the least common multiple of j and m(13).
8
Let h(b) = b + 4. Let d be h(0). Suppose -2*n - d = -6*n, 4*p - n = 7. Suppose p*s - s = 8. What is the lowest common multiple of 18 and s?
72
Find the common denominator of -2*(-2 - (-172)/(-8)) and -29.
1
Let j = 9/8 - -115/72. What is the common denominator of -1*(-62)/(-44)*1 and j?
198
Let y = -341762/27925 + -8/5585. Let b = y + 3991/275. Let m = 319 - 919/3. Calculate the common denominator of m and b.
33
What is the smallest common multiple of (-6)/14 - 289/(-119) and 1?
2
Let w be (-2 + 1)/(-1) - -1. Let q = 9 + w. Calculate the lowest common multiple of q and 7.
77
Let h be -4*-1*1/(-103). Let w = h + -1826/721. Calculate the common denominator of 2*(-2 - 147/(-30)) and w.
35
Let d be (-4)/8 + (-442)/(-4). Let u be (-206254)/d - (-6)/(-10). Let z = -1872 - u. Find the common denominator of 125/6 and z.
66
What is the least common multiple of 11 and (-8)/(-12) - (-8)/6?
22
Let t be -1*1/(0 + -1). Suppose -t = 3*r - 13. Calculate the lowest common multip