1. Let w = 42 + x. What is the least common multiple of w and 20?
180
Let q be (-2)/(-7) + (-40)/(-7). Suppose -3*i + 66 = -348. Suppose 3*x - q*x = i. Calculate the common denominator of 19/5 and x.
5
Let p(k) = k**2 + 0*k**2 - 1 - k + 0. What is the lowest common multiple of 4 and p(4)?
44
Let t = -100 + 140. Calculate the smallest common multiple of 16 and t.
80
Let v = 45 - 25. What is the least common multiple of v and 30?
60
Suppose 0 - 6 = -3*v. Suppose 0*f + 3*f + 40 = -4*b, 0 = 4*b + f + 32. Let l = 13 + b. Calculate the lowest common multiple of l and v.
6
Let u = 294 - 936. Calculate the common denominator of -3*(26/(-15) - 1) and u/(-120)*(3 + -1).
10
Let j(h) = h. Let x(z) = -z**2 + 2*z - 1. Let b(l) = -2*j(l) - x(l). Let v be b(4). Calculate the common denominator of 107/12 and v - (7/4 - -2).
12
Let h be 186*(-1)/(-4)*6. Find the common denominator of h/(-10)*(-2)/12 and -111/20.
20
Suppose 0 = 7*i - 2*i. Suppose 2*r = -i*r + 6. What is the smallest common multiple of r and 5?
15
Let d = 13 + -5. Suppose c = 2*c - 4. Calculate the lowest common multiple of c and d.
8
Let j(r) = -r**3 + r**2 + r - 10. Let z be j(0). Find the common denominator of -115/14 and 25/((96/z)/(-4)).
84
Suppose -3*z = 2*n - 20, -4*z - 4*n + 20 = -0*z. Let d = 36 + -18. What is the least common multiple of d and z?
90
Suppose -5*j - 4*u = -5*u - 31, -3*u = 4*j - 21. Find the common denominator of (-7 + j)*278/36 and 33/14.
126
Let x(s) = -270*s**3 - 3*s**2 + 3*s - 4. Let q be x(-3). Let o = q + -43397/6. What is the common denominator of o and 17*(-2)/(-72)*2?
18
Let b = 19 - 37. Let f be ((-4)/6)/(4/b). What is the common denominator of f - (-2 + (-87)/30) and 143/6?
30
Suppose -5*n + 2*h = 30, -5*h + 14 = -n + 31. Find the common denominator of (n/(-2) - -3)/8 and -3 + 2/20*83.
40
Let i = -211 - -1024/5. What is the common denominator of i and -17/8?
40
Let w be (-459)/(-36) - (-1)/4. Suppose 0*r = -5*r - 3*a + 17, -2*r = -5*a - w. Calculate the least common multiple of 6 and r.
12
Let u = -279 + 525/2. Find the common denominator of u and 3 - (-166)/(-54)*3.
18
Let n(r) = 2*r**2 - 2582*r**3 - 4473*r**3 - r**2. Let b be n(-1). Let u = 42457/6 - b. Find the common denominator of u and 87/14.
42
What is the least common multiple of 33 and (6/(-8))/((12/(-176))/3)?
33
Suppose 3*l = 2*l + m + 2, -3*l = 5*m - 14. Let j(u) = -2*u - 2. What is the lowest common multiple of j(-4) and l?
6
Let p = 63/5 + -19/2. What is the common denominator of p and -181/150?
150
Suppose 3 + 0 = w. Suppose -5*y = 2*c + 3, 2*y - 2*c = w*c - 7. Find the common denominator of 1/y - 63/(-16) and 49/10.
80
Suppose 0 = 4*h + 3*q - 2, 5*h - 2*q - q - 16 = 0. Suppose -4 = -h*r - 2*r. Suppose -5 = -4*m + 31. What is the least common multiple of r and m?
9
Let a = -1090 - -7655/7. Calculate the common denominator of -41/22 and a.
154
Let f = -21 - -23. Calculate the least common multiple of 14 and f.
14
Let a = -2715 + 43491/16. Let y = 10183/1480 + -1/185. Calculate the common denominator of a and y.
16
Let g(x) = x**3 + 6*x**2 + 4*x + 2. Suppose 0*q + 5*q + 20 = 0. What is the smallest common multiple of g(q) and 22?
198
Let l(m) = m**3 - 6*m**2 + m - 6. Let d be l(6). Let y be (-311473)/20 + (d - -2). Let f = y + 15566. What is the common denominator of 27/10 and f?
20
Suppose 19*p - 396 = 8*p. What is the least common multiple of 36 and p?
36
Let o = 13 - 9. Let l = 14 + o. Calculate the least common multiple of l and (-16)/(-2) + 1 + -1.
72
Let s = 1083 + -6475/6. Let k = -23675/8 - -2966. Find the common denominator of s and k.
24
Let t be 4/(-16) + (-10)/(-8). Suppose -2*w + 0 - 1 = 3*m, -w - m + t = 0. Calculate the lowest common multiple of w and 8.
8
Let y = -51 - -78. What is the smallest common multiple of y and 12?
108
Let g = -1489 + 5879/4. Find the common denominator of g and -52/5.
20
Let b = 3 - 10. Calculate the least common multiple of (-3)/b - 39/(-7) and 7.
42
Let y = -53254147 - -3195134213/60. Let b = 11425/6 + y. Calculate the common denominator of b and 51/10.
20
Suppose -556 = -6*l + 608. What is the least common multiple of 18 and l?
1746
Let z = -2567/2 - -1235. Find the common denominator of z and 53/4.
4
Suppose -d + 0 = -2. Find the common denominator of 142*d/(-72) - -2 and -91/18.
18
Let m be (-18)/30 + 354/(-10). Calculate the common denominator of -19/20 and 250/m + 1*3.
180
Let k = -13360/9 + 1490. Find the common denominator of ((-66)/(-12))/(4 + (-62)/12) and k.
63
Let k(p) = -2*p + 1. Let z be k(-1). Let m(n) = n**2 + 1. Suppose 2*v + 16 = 5*l, 3*v - 1 = l + 1. Calculate the smallest common multiple of l and m(z).
20
Let c(r) = -r**2 + r + 4. Let s be c(3). What is the common denominator of ((-3)/(-18))/((-2)/(-93)) and (s/(-10))/(162/585)?
36
Let d be (-3)/(-2) - (-18)/(-12). Suppose d*z - 4 = 2*z. Calculate the least common multiple of ((-24)/z)/(6/4) and 9.
72
Suppose -140 = -4*f + 3*d, 3*d - 4*d + 80 = 2*f. Suppose 0 = 4*y + y - 7725. Let t = y + -6147/4. Find the common denominator of f and t.
4
Suppose 0 = -4*q - 4*i + 37740, 2*q + 0*i = -5*i + 18864. Let o = q + -16900. Let b = o + 44675/6. Find the common denominator of 7/6 and b.
6
Find the common denominator of 125/18 and (235/(-15))/(10/(-3)).
90
Suppose 9*q = 2*k + 8*q - 11, -k + 13 = q. What is the lowest common multiple of 2 and k?
8
Let p = -44 - -84. Suppose -h = -6*h + p. Calculate the smallest common multiple of 2 and h.
8
Suppose -3*i = -2*k - 46, -5*k = i - k + 8. Suppose z + i = f, z = 2*f - 2*z - 28. Let r(g) = -17*g**3 - 1. What is the lowest common multiple of f and r(-1)?
16
Let l be (-2 - -1)/(62/(-5042218)). Let w = -81339 + l. Let r = -1312/217 - w. What is the common denominator of r and -95/6?
42
Let q be 32/((-2)/(0 - 2)). Suppose 4*z - 8*z + q = 0. Calculate the lowest common multiple of z and 4.
8
Let i be 4/((-1)/(3/(-2))). Let z(o) = o**2 - 6*o + 6. Suppose 11 - 29 = -2*b. What is the lowest common multiple of b and z(i)?
18
Let z = -2753 + 4000. Let a be (-531)/12*166/6. Let j = a + z. Find the common denominator of j and -79/2.
4
Let i(a) = 34*a. Let m be i(-1). Let u = 52 + m. What is the lowest common multiple of 22 and u?
198
Let q(d) = 9*d**2 + 3*d. Let l be q(5). Suppose 5*w - 3*c = -14, -w - 5*c = -0*c + 14. Calculate the lowest common multiple of 4 and (2/w)/((-6)/l).
20
Let l = 104 - 61. Suppose k - 4*k + 63 = 0. Let p = l - k. What is the smallest common multiple of p and 16?
176
What is the common denominator of 41/15 and (-1)/144*3*-410 + -3?
120
Let u(r) = 2*r - 10. Calculate the least common multiple of 32 and u(13).
32
Let j be -2*(-2 + 3) - -4. Suppose -3 = -4*h + 17. Suppose -20 = -j*l + 7*l, -5*x - h*l = -20. Calculate the smallest common multiple of x and 1.
8
Let o = 22 - 17. Suppose 5*k + y = 93, -4*y - 78 = -0*k - o*k. What is the smallest common multiple of 16 and k?
144
Let k = 34 + -1. Calculate the least common multiple of k and 42.
462
Let w = 23 + -18. What is the lowest common multiple of 11 and w?
55
Let y = 3 - 7. What is the common denominator of 0 + (-507)/(-54) + -3 and (y - -2)/(40/17)?
180
Suppose -5*r = 2*d - 92, 3*r + d - 79 + 23 = 0. What is the least common multiple of 14 and r?
140
Calculate the common denominator of 67/2 and (-29)/11*2/(-10)*-5.
22
Let l(s) = -3*s + 1. Let i(t) = -6*t + 2. Let c(w) = -6*i(w) + 14*l(w). What is the common denominator of 59/4 and c(7)?
4
Suppose 2*m + 7 = 3*m. Let a = 4 + -3. Suppose -u = 3*x + u + a, 3*u = 4*x - 10. Calculate the least common multiple of m and x.
7
Let l = 6 - 3. Suppose -l*x = 0, 2*j - 3*x - 36 = -12. Calculate the least common multiple of j and 11.
132
Let g = 12/891743 + -78875560237/10700916. Let b = -7376 - g. Find the common denominator of 19/8 and b.
24
Calculate the common denominator of (1/5)/(4/220) and -29/2.
2
Let i be (-2 - (-1 - 0)) + 1. Let h = 2 + i. Let k = -36 + 38. What is the lowest common multiple of k and h?
2
Let w = -4 - 2. Let d(p) = 3*p - 4 - p - 7*p. Calculate the common denominator of 2/3 and d(w).
3
Suppose 2*q + 10 = 4*h, -4*h + 5*q + 15 = 4*q. Let i(u) = 2*u**2 - 7*u - 7. Calculate the smallest common multiple of 30 and i(h).
120
Let x = 7091 - 56647/8. Calculate the common denominator of x and -9/10.
40
Calculate the common denominator 