7. Calculate the lowest common multiple of a and 18.
342
Suppose 18*d - 560 = 16*d + 4*q, 0 = -2*q - 10. Calculate the lowest common multiple of d and 99.
2970
Let d(x) = -3*x - 8. Let b be d(-4). Suppose 9 = -3*u + q, 0*u + b*q - 18 = 3*u. Let s = u + 5. What is the least common multiple of s and 8?
24
Let p = -2766 - -38659/14. Find the common denominator of (-225)/(-6)*(-1)/(-12) and p.
56
Let k = 18 + 104. Let h = -112 + k. Let y(i) = -2*i - 1. What is the lowest common multiple of h and y(-6)?
110
Let b(j) = -j**3 + 10*j**2 - 18*j + 42. What is the smallest common multiple of b(7) and 182?
1638
Let p = -312/7 - -4845/112. Let i be -1*(-324)/16 - -2. Let l = i - 22. Calculate the common denominator of l and p.
16
Let d(k) = -1077*k + 8620. Let u = -11 + 15. What is the lowest common multiple of u and d(8)?
4
Suppose 2*c - 5*i = -47 + 12, -5*c - 74 = i. Find the common denominator of 8/3 and -5*(c/7)/5.
21
Suppose 0*u = -5*u + 20. Let y(c) = -c**3 - 32*c**2 - 2*c - 9. Let n be y(-32). Suppose -u*h + 25 = -n. What is the least common multiple of h and 22?
220
Suppose 4*h - 30 = -2*f, 56*h + 22 = 2*f + 58*h. Calculate the least common multiple of f and 214.
1498
Let v = -11/17819 + 152905455/997864. Let q = v + -986/7. Find the common denominator of 71/18 and q.
72
Suppose -j + 17 = 5*k, 4*k + j = 12 + 1. Suppose y - k*x + 10959 = 6*y, 0 = -5*x - 20. Let r = -30651/14 + y. Find the common denominator of 139/18 and r.
126
Suppose -7542 = 4*o - o - s, 5*o + 4*s = -12587. Let l = o + 15139/6. Calculate the common denominator of (-1 - (-385)/(-30))/((-1)/3) and l.
6
Let p(j) = j**2 + 5*j + 2. Calculate the least common multiple of 8 + (79 - 9)/14 and p(-5).
26
Let s(p) = 17*p**2 + 4*p + 9. Let n(h) = 4*h**2 + h + 2. Let i(u) = 9*n(u) - 2*s(u). Let y = -70 - -82. What is the lowest common multiple of y and i(1)?
12
Let a(i) = i**3 - 25*i**2 + 28*i - 26. Let q be a(24). Suppose -16*u + 21*u - q = 0. Calculate the lowest common multiple of 2 and u.
14
Let s = 4896 + -88217/18. Suppose -3*k = -1 - 5, -104 = l + 3*k. Let o = 423/4 + l. What is the common denominator of s and o?
36
Let d(p) be the first derivative of 7*p**2/2 + p - 3. Let o be d(-1). Let l = 9 + o. What is the smallest common multiple of 3 and l?
3
Let s = 263/130 - 23/30. What is the common denominator of 29/7 and s?
273
What is the least common multiple of (-2)/(7/5040*-6) and 20?
240
Let r(h) = h**3 - h**2 - h + 13. Let l = -384 - -385. What is the smallest common multiple of l and r(0)?
13
Let i = -2404 - -2424. What is the lowest common multiple of i and 13?
260
Let l = 38069/12 + -3170. What is the common denominator of l and -121/96?
96
Suppose 8 = -2*t, b = -b - 3*t - 16. Let n = 8 + b. Calculate the common denominator of 71/20 and ((-35)/n)/(22/(-18)).
220
Let z(u) = -u**3 + 11*u**2 - 19*u + 5. Calculate the least common multiple of z(3) and 40.
40
Let f = -16 + 16. Let h = f + 10. What is the least common multiple of h and 9?
90
Let k be 878/92 - (-5)/(-10). Let s = k - -655/276. Let m = 217/10 + -1039/45. Find the common denominator of s and m.
36
Let n = 9692557/108 + -89745. What is the common denominator of 109/180 and n?
540
What is the least common multiple of (-354)/(-5) - (-54)/45 and 32?
288
Find the common denominator of (-302)/12 - (-26 - -19) and 24/503.
3018
Let h(o) be the second derivative of -o**5/10 + o**4/12 + 5*o**2 + 9*o. What is the least common multiple of 64 and h(0)?
320
Let j be ((-246)/4)/(15891/3171 + -5). Let d = -5408 - j. Calculate the common denominator of ((-122)/48)/((-2)/(-3)) and d.
16
Let k = -47/36 - -13/4. Find the common denominator of (-83)/10 - 6/3 and k.
90
Let c = 69 + -43. Let z = c - 26. Suppose z = -2*k + 4*k - 12. What is the smallest common multiple of 22 and k?
66
Suppose -46 = -4*f + 58. What is the common denominator of f/4*1/12 and -73/15?
120
Let m(q) = q**3 + 9*q**2 - 8*q - 8. Let t be m(-9). Let u = t + -37. Suppose 7*j = 3*j + w + u, 0 = 2*w - 10. What is the lowest common multiple of j and 11?
88
Let n = 101163/16 + -6317. Find the common denominator of (-807)/(-36) + 3/(45/(-10)) and n.
16
Suppose 6*s - 10 = 4*s. Suppose -k + s*n = -24, -4*k - 5*n - 5 = -1. Calculate the lowest common multiple of 4 and k.
4
Calculate the common denominator of 4/5 and (-6)/(-15) + -2 + 51/39.
65
Let v(f) = -4*f**2 + 5*f - 4*f + 1 - f**2 + 2*f. Let x be v(2). Let z = x + 23. Calculate the least common multiple of 20 and z.
20
Let b(p) = 2*p**3 + 16*p**2 + 21*p + 10. Calculate the least common multiple of b(-6) and 35.
140
Let o(m) = -m**3 + 12*m**2 - 5*m + 20. Let v be o(6). Suppose -v = -4*b + 2*g, -121 + 33 = -2*b - 4*g. What is the smallest common multiple of 10 and b?
50
Calculate the common denominator of 33/7 and 4/(-14)*2 - (-16)/52.
91
What is the common denominator of 47/250 and 2/7 + 12980/1120?
1000
Let j = 53607/10 + -5355. Calculate the common denominator of j and (2/92)/((-5)/15).
230
Suppose 4*b = -2 - 10. Let z(a) = a + 7. What is the lowest common multiple of z(b) and 6?
12
Let r = -671/12 - -892/15. Calculate the common denominator of r and -73/10.
20
Suppose -24 = 2*v - 4*v + 4*r, 0 = 3*v - 2*r - 24. What is the smallest common multiple of v and -3 + (-1 + 1 - -61)?
174
What is the lowest common multiple of 10 and (-414)/(-81) + (-26)/(-9) + -3?
10
Suppose -6*m + 54 = -78. Suppose -2*z - 6 = -2*a - z, -2*a = 3*z - m. Calculate the smallest common multiple of 4 and a.
20
Let l(m) = -m - 1. Let k(d) = 3*d + 3. Let j(s) = -2*k(s) - 5*l(s). Let i be j(13). Let g = 20 + i. Calculate the least common multiple of g and 11.
66
Suppose 3*h = -2*c + 19, -2*c - 14 + 3 = -3*h. Let g(o) = -o**2 + 9*o + 6. Let f be g(7). Let a = f - 10. Calculate the lowest common multiple of a and h.
10
Let v = 89/4 - 137/6. Find the common denominator of v and 0/15 - 3/(27/(-14)).
36
Let c = -880 - -892. What is the smallest common multiple of 1/3 - 17/(-3) and c?
12
Let a = 49508 - 4455649/90. Find the common denominator of 33/35 and a.
630
Let v be 5/(-15) + (-20)/12. What is the common denominator of 11/30 and ((-40)/(-105))/v + 4?
210
Let i(r) = -11*r - 57. Calculate the lowest common multiple of 352 and i(-6).
3168
Suppose -b + 60 = 2*b. Let n(v) = 4 - 8 - 8 + 0*v - 4*v. What is the lowest common multiple of b and n(-5)?
40
Let v = -623755702/19 - -32905558. Let i = 893072261/11704 - v. Let y = -67/56 - i. Calculate the common denominator of 87/8 and y.
88
Suppose -2*j + 6*j = 4*y - 16, -2*j = -5*y + 26. Suppose -2*z = -7*z + 4*g + 40, 51 = 3*z + 3*g. What is the smallest common multiple of y and z?
12
Let v be (-8)/6 + 27064/(-4656). Let o = v - 2/97. Calculate the common denominator of o and -151/6.
6
Suppose -a = -0*a - b + 27, 4*b = a + 42. Let z = a + 30. Suppose 6 = 5*f - 4*f. Calculate the least common multiple of z and f.
24
Let b(k) = -28*k - 229. What is the smallest common multiple of 6 and b(-12)?
642
Find the common denominator of 398/30 - (-6)/15 and (-2)/6*90/60.
6
Let s = 174 + -154. What is the smallest common multiple of s and 6?
60
Suppose 0 = 167*m - 171*m + 756. What is the least common multiple of 54 and m?
378
Let c be (-4)/(((-3340)/(-8))/5). Let o = 23188081 + -7744812891/334. Let r = o - c. Find the common denominator of r and 77/12.
12
Calculate the lowest common multiple of 3 + 0 + (-5 - 8) + 22 and 32.
96
Let m = 8/32897 + -16416803/4934550. Let n = m + 11/225. Let q = 4075/468 - -83/117. Find the common denominator of n and q.
36
Calculate the least common multiple of 48 and (7 + -5)*1 - 1*-30.
96
Let i = -377 - -388. What is the lowest common multiple of 121 and i?
121
Suppose 4*x - 4*i = 140, 4*x - 8*x = 2*i - 128. What is the lowest common multiple of x and -12 + -26*(-9)/6?
297
Suppose 0*z + 9 = -3*z. Let w = 5835 - 46757/8. Calculate the common denominator of w and z/(-24)*-2 + -25.
8
Let y = 143 - 103. Calculate the smallest common multiple of 84 and y.
840
Let v = 202 + -89. Suppose 2*h + 5*k = 5 + 24, -k = -5*h + v. What is the lowest common multiple of h and 22?
22
Let z = 4135/6 + -701. Let s be 10/(-5) - -3 - -10655. Let w = s + -170587/16. Calculate the common denominator of w and z.
48
Let n = 50122 - 2606251/52. What is the common denominator of 79/232 and n?
3016
Let f = -1 - -7. What is the l