*c - 1. Let p be z(-1). What is the lowest common multiple of 0/(-1) - (1 + p) and 20?
180
Suppose -2*g + 12 = -g. Calculate the lowest common multiple of (-12)/15*(-570)/g and 2.
38
Let b = -1494199/72 + 20752. What is the common denominator of b and -149/96?
288
Let g(d) = 22*d**2 - 9*d + 9. Let f = -4 + 22. What is the smallest common multiple of f and g(1)?
198
Let u be 5/(20900/(-4787)) - -1. Let r = u - 1/209. What is the common denominator of -105/22 and r?
220
Let d = 71451 + -1289261/18. Let c = 347/2 + d. Calculate the common denominator of c and 6/28 - (-1)/2.
63
Let j = 2/1377 - -10994/15147. Let p = -376/33 + j. Calculate the common denominator of p and 65/(-3)*(-6)/(-4).
6
Suppose 83*p = 91*p - 296. What is the smallest common multiple of (-2)/5 + 282/30 and p?
333
Suppose 26*x = 19*x + 1155. What is the least common multiple of 45 and x?
495
Let u = -960 - -550. Let p = u - -6579/16. Find the common denominator of p and 23/4.
16
Let p = -3148018187/402 - -7830884. Let r = 12/67 + p. What is the common denominator of -51/2 and r?
6
Suppose 2*b + 31 = 7. Let a be (-14)/(-4)*(b + 4). Find the common denominator of 13/10 and (2/a)/((-2)/(-88)).
70
Let f be (-2)/(19920/33535) - -4. Let a = -2/249 + f. Find the common denominator of a and -125/6.
24
Calculate the common denominator of (96/36)/((-122)/237) - -6 and 5.
61
Let c = -59 - -93. Calculate the smallest common multiple of 10 and c.
170
Suppose -8*p + 11 = -12*p - 5*k, 8 = -4*p - 4*k. Suppose 8 = 5*i - 2. Suppose 12 = 2*u - 5*t, u + i = 4*t + 8. Calculate the lowest common multiple of u and p.
6
Let g = -25 - -22. Let y be ((-12)/g - 3)*1. Calculate the smallest common multiple of ((-9)/(-27))/(y/24) and 4.
8
Let q = 71 - -86. Let y = -285/2 + q. Calculate the common denominator of y and 41/10.
10
What is the least common multiple of ((-99)/(-6) + -3)/((-15)/(-20)) and 33?
198
What is the common denominator of (-17)/(-70) - (-248)/(-217) and -111/80?
80
Let k = 299 - 291. Calculate the smallest common multiple of 164 and k.
328
Suppose 23*v - 19*v = -60. What is the common denominator of (209/(-66))/(32/v - -2) and (-4)/(-12) + (-107)/(-18)?
36
Let d = 210 + -170. What is the least common multiple of d and 148?
1480
Let u = -2372439731/22 - -107858632. Let x = -20467 + u. What is the common denominator of x and -65/12?
132
Find the common denominator of (-5)/35*(415/95 + -6) and -8/19.
133
Let u = 5909 + -82683/14. What is the common denominator of u and 23/56?
56
Suppose -4*u - 64 + 148 = 0. Calculate the least common multiple of u and 39.
273
Let d = -536138544619460385/9044 + 59281130634152. Let j = d - 92416. Let i = j - -140193/99484. Find the common denominator of 107/14 and i.
154
Let g be ((-4)/(-30))/((-56)/1423254). Let r = g - -3380. What is the common denominator of r and 45/16?
80
Let f = -197 + 201. What is the least common multiple of 180 and f?
180
Suppose -3*f = -3*a - 0*f + 9, 5*a = 4*f + 20. Let y = 974 + -7845/8. Find the common denominator of (a/3)/((-28)/(-30)) and y.
56
Find the common denominator of 85/21 and ((-178)/42)/(-105 - -100).
105
Let i(d) = 1 + 0*d**2 + 1 + d**2 + 5*d - 3*d. Let t be i(0). Suppose n = -z + 2, t*n = n - 5*z - 6. Calculate the smallest common multiple of n and 18.
36
Suppose 3 - 49 = -2*v + 4*t, -20 = 5*t. Let s be 1049/28 + v/(-20). Let f = -1207/14 + s. Calculate the common denominator of -67/8 and f.
8
Let c = 24805/8 - 3109. Suppose -s + 168 = -5*a, -2*a - s = a + 104. What is the common denominator of (a/30)/((-12)/15) and c?
24
Let s(x) = x**3 - 6*x**2 + 2*x + 2. Suppose -4*o - 2*a + 7 = -71, a = 3*o - 51. What is the lowest common multiple of s(6) and o?
126
Let s(w) be the third derivative of w**5/60 + w**4/24 + 7*w**3/3 - w**2. Calculate the least common multiple of s(0) and (-8*1)/(14/(7 - 14)).
28
Let z be (2871/(-351))/(6760/(-4022)). Let n = z + 1/8788. Let m = 73 - 120. Find the common denominator of n and m.
15
Suppose 0 = -5*t + 4*t + 8. Let s(p) = p**2 + p - 1. Suppose i - o + 9 - 2 = 0, 0 = 2*i + o + 2. What is the lowest common multiple of t and s(i)?
40
What is the common denominator of 49/24 and (-3)/(576/2620)*(-3)/(-30)?
96
Let q(c) = c + 2. Let u = -4 - -4. Suppose u*z = 2*z - 8. Calculate the lowest common multiple of q(z) and 10.
30
Calculate the lowest common multiple of 9/((-23)/(-2) + -10) and 14.
42
Suppose 4*n + 4*i - 1432 = 0, 43*n - 1770 = 38*n + 5*i. What is the smallest common multiple of n and 20?
1780
Suppose 0 = j - 1, 5*p = -2*j - 2*j + 214. Let h = -36 + p. Let i(y) = -3*y - 7. What is the least common multiple of h and i(-5)?
24
Let b = 45248/15 + -3015. Calculate the common denominator of -7 + (-6 - -1 - 14) and b.
15
Suppose -5 = -3*x + 5*y, 4*y + 0*y = 3*x - 1. Calculate the least common multiple of 20*(x/2)/(-5) and 16.
80
Suppose 0 = -z - 51 + 199. Suppose 0 = -n - 4*u + 38, -5*n + u = -0*u - z. Suppose -27*m = -26*m - n. What is the smallest common multiple of m and 2?
30
Let q(z) = z**2 + 4*z + 2. Let n(o) = -3*o - 4. Let c be n(8). Let a = c + 22. What is the least common multiple of 22 and q(a)?
154
Let n(o) = 10*o - 5 - 1 + 3 - 8. Let u be n(5). Suppose 21 + 44 = 5*s + l, 3*l - u = -2*s. What is the smallest common multiple of s and 18?
36
Suppose -t = -0*p + 4*p - 38, 4*t - 5*p - 173 = 0. Calculate the smallest common multiple of 42 and t.
42
Let k be (236/12)/(2/6). Suppose k*h - 6 = 57*h. Let g(r) = -r + 7. Calculate the least common multiple of g(0) and h.
21
Let s = -16605 + 348620/21. What is the common denominator of s and 39/7?
21
Let a = -65795/14376 + 21/599. What is the common denominator of 157/84 and a?
168
Let i(v) = -12*v - 64. What is the lowest common multiple of 6 and i(-6)?
24
Suppose 830 = 6*z + 326. Calculate the smallest common multiple of z and 40.
840
Suppose -t + 8 = 18. Let h be (36/45)/(2/t). Calculate the least common multiple of (6/h)/((-18)/24) and 10.
10
Let i = 4772 + -162217/34. What is the common denominator of -40/153 and i?
306
Let p(o) = -4*o + 3. Let r be p(-4). Suppose 0*a + 5*s - 11 = 2*a, 3*s = -5*a + r. What is the common denominator of (-98)/(-63) - a/(-9) and -68/9?
9
Let s = 188 + -128. Let i = -29 + s. Let q = 51 - i. What is the lowest common multiple of q and 16?
80
Suppose 69 = 29*s - 6*s. Let m(h) = 4*h + 23. Calculate the least common multiple of m(s) and 55.
385
Suppose -6*s = -s - 100. Suppose -d = 26*i - 24*i - 34, -3*d + 86 = -2*i. Calculate the least common multiple of s and d.
60
Suppose 20 = 7*y - 2*y. Suppose 0 = -3*i + y*i - 63. Suppose 4*x - 2*m - 42 = 2*x, 4*x = -3*m + i. Calculate the lowest common multiple of x and 16.
144
What is the smallest common multiple of -1 + (-6)/(-4)*246/9 and 60?
120
Suppose 5*d + 44 = j, 3*d - 2*j + 24 = -1. Suppose 2*h - 14 = 3*v - v, 3*h - 6 = -2*v. What is the smallest common multiple of 3/d*132/(-2) and h?
44
Let s = 18 + -21. What is the common denominator of -79/2 and (-7 - s) + (-219)/(-42)?
14
What is the common denominator of ((-6)/15)/(1820/1534) and 25/56?
1400
Calculate the common denominator of -45/14 and 818/(-420) - 23/(-69).
70
Suppose 3*d - 15 = 4*o, -d - 15 = 2*o - 0*d. Calculate the common denominator of 47/8 and (-1)/3*o*(-202)/16.
8
Calculate the lowest common multiple of 8 and (67 - 59) + 2*10.
56
Let v(k) = 8*k**2 - 34*k - 8. What is the least common multiple of v(5) and (-476)/(-49) - 2/(-7)?
110
Let w(z) = -z**3 - 9*z**2 + z + 7. Let r be w(-9). Let v(m) = 0*m**2 + 3 + 2*m - 2 + m**2. Calculate the smallest common multiple of 11 and v(r).
11
Let k = -326/285 + 14647/3420. Find the common denominator of k and -111/40.
360
What is the common denominator of 28/(-4) + (-10)/12*-1 and -31/426?
426
Let f = -2220457/6 - -367212. Let c = -2856 - f. Calculate the common denominator of c and 940/(-75) - (3 - 30/9).
30
Let w = -574 + 659. What is the lowest common multiple of 1 and w?
85
Let q = -17609/176 - -1148/11. Let p = 2597 + -10465/4. Find the common denominator of p and q.
16
Suppose 3*a = 9, -w + 3*a + 0*a - 2925 = 0. What is the common denominator of -9/88 and (2/(-8))/((-18)/w)?
88
Let t = 517 + -5131/10. Let s = 2992 - 17851/6. Calculate the common denominator of t and s.
30
Suppose -2*o = 18 - 2. Calculate the common denominator of (1 + 45)*(-6)/o and -2.
