- 8. Let d be q(w). Suppose -d = p - 16. Calculate the least common multiple of p and 22.
154
Let i be 0*((-25)/(-10) + -2). Suppose i = -0*f + 2*f + 2. Let v(w) = -18*w**3 + w + 1. Calculate the least common multiple of 8 and v(f).
72
Calculate the lowest common multiple of -1*(-16 - (-1 - -1)) and 315/30*(24/40 + (-33)/(-45)).
112
Calculate the common denominator of 17/608 and ((-4)/120)/(((-170)/1035)/17).
3040
Let h = 1685 - 13463/8. Let k = -463 + 283. Calculate the common denominator of h and (-4)/(-10) - (-712)/k.
72
Suppose 4*r + 22 = -4*l + 110, 124 = 4*l - 5*r. Let n = l + -24. Calculate the least common multiple of n and 16.
16
Let z = -1413 - -1498. Calculate the smallest common multiple of 136 and z.
680
Let y(f) = -3*f**3 + 7*f**2 + 20*f + 9. What is the least common multiple of 33 and y(-2)?
231
Let k be 2*(-1)/(3/6). Let l be (k/6)/(4/(-84)). Suppose 0 = 2*g - o - l, -g + 0*o + 12 = 2*o. What is the smallest common multiple of 22 and g?
88
Suppose -6*l + 2144 = -5*f, 5*l - 1758 = -5*f + 2*f. What is the least common multiple of 9 and l?
1062
Let m be 6/24 + (9507/(-6) - -3). Let u = 4762/3 + m. Calculate the common denominator of u and -79/44.
132
Suppose -27442 - 14828 = -3*o. Let b be ((-242)/(-72))/((-1)/(-4190)). Let k = b - o. Find the common denominator of -27/20 and k.
180
Let u = -3/28 - 43/56. Find the common denominator of (62/(-33))/(2/(-3)) and u.
88
Let p(c) = 10*c - 13. Let h be p(6). Suppose -2*l = 5*w + h, 4*l + 0*w + 5*w + 69 = 0. What is the common denominator of 83/10 and (-91)/(-32) - (l - -11)?
160
Suppose 2 - 23 = -x. Suppose -28*w + 624 = -2*w. What is the lowest common multiple of x and w?
168
Let h(m) = -m. Let l = -1 - -4. Suppose 7*r = l*r - 28. What is the smallest common multiple of h(r) and 7?
7
Let z(o) = 9*o + 3. Suppose -13*u + 12*u = -12. What is the lowest common multiple of u and z(3)?
60
Let y be (-123)/2*-22*(-4)/1680. Let u = -3/140 - y. Let k = 64941/8 - 8129. What is the common denominator of k and u?
40
Let a(l) = 7*l**2 - 19*l - 6. Let v(q) = q**2 - q + 1. Let i(u) = a(u) - 6*v(u). What is the least common multiple of i(15) and 20?
180
Suppose 2*g - 5*g = 60. Find the common denominator of g/6*(-9)/28 and 1/(-1020)*-8210 - (-2)/17.
42
Let w = -3713/351 + 19861259/3510. Let s = w + -5636. What is the common denominator of -67/18 and s?
90
Suppose 0 = -3*h - a + 64, 34*h + 5*a + 100 = 39*h. What is the lowest common multiple of 63 and h?
63
Suppose 9 = 7*b - 4*b. Calculate the common denominator of -133/12 and 308/48 + b - 4/(-6).
12
Suppose 41*w + 183 = 1823. What is the least common multiple of w and 215?
1720
Let q be (9 + -3)*1245/(-6). Let t = 52 + -28. What is the common denominator of -59/22 and q/t*(-3)/30?
176
Let r(m) = -m**3 + 10*m**2 + 2*m - 1. Let k be r(10). Let d = k + -33. What is the lowest common multiple of 4 and (-32)/(-14) + 4/d?
4
What is the common denominator of -3 - (138/(-4) + 12/(-3)) and 121/12?
12
Calculate the common denominator of 489*(-4)/(-6552) + 8/52 and -72/35.
210
Let o = -13001/5577 + 15/169. Calculate the common denominator of 19/3 and o.
33
Let s = 383 - 382. Let m(h) = -2 + 0 - 4 + 2*h + 3 + 2*h**2. What is the lowest common multiple of s and m(2)?
9
Let f be ((-2)/(-4))/((-5)/300). Find the common denominator of 2*(-3)/2 + 31/2 and ((-4)/(-12))/(14/f).
14
Let v = -171697/10002 - 2/5001. What is the common denominator of v and 125/72?
72
Let a(f) = 2*f**2 - 11*f + 7. Let m be a(5). Suppose 0*v = -m*v + 58. Calculate the smallest common multiple of 1 and v.
29
Let o(f) = -3*f - 8. Let q be o(-6). Let g = 2468/3 - 7435/9. Find the common denominator of g and 2 + -3 + (-38)/q.
45
Let n(j) = 2*j**2 - 3*j - 15. Let m be n(-7). Suppose -r = 4*l - 37, r - m = -2*r - 5*l. Calculate the lowest common multiple of r and 15.
165
Calculate the common denominator of -50 and (68/(-20) - (-10)/(-25))/(-1).
5
Suppose 0 = 9*t - 523 + 478. What is the least common multiple of 178 and t?
890
What is the common denominator of 44/219 and (-9)/(-12)*(-6)/15?
2190
Let v = -292 - -304. Calculate the smallest common multiple of 40 and v.
120
Let b be (2/(-6))/((-2)/36). Let c be (-3183)/b + 0 + 0. Let y = -499 - c. Calculate the common denominator of 6/11 and y.
22
Suppose 4*i = 17 - 1. Let c = -5 + 3. What is the common denominator of i and 15/c*30/(-36)?
4
Let b = -17109849 + 11976897363/700. Let u = -8/1561 + 150056/39025. Let m = u - b. What is the common denominator of -43/6 and m?
84
Let h be (-2)/(3 - (-57)/(-15) - -1). What is the lowest common multiple of 8 and (-4)/h*5*10/5?
8
Suppose -4*h = -172 - 300. What is the lowest common multiple of 16 and h?
944
Let u = 517/42 + -85/7. Calculate the common denominator of 137/150 and u.
150
Let i = -411/4 - -1003/10. Calculate the common denominator of i and -101/60.
60
Let n(j) = 13*j - 1. Let c be n(1). What is the least common multiple of 7 and (-6)/(-8) + (-9)/c + 1?
7
Suppose -m - 4 = 2*a, -8 + 40 = -3*m + 4*a. Calculate the common denominator of 1296/(-8)*1/m and ((-33)/(-8))/(9/28).
12
Suppose -1061*j + 1069*j = 160. What is the lowest common multiple of j and ((-1)/2)/(3/(-144))?
120
Let c = 4/1567 + -29829/21938. Find the common denominator of c and 29/100.
700
Let h be -6 + 3*(-2)/(-6). Let x = h + 1. Find the common denominator of 71/6 and 17/x - 15/10.
12
What is the smallest common multiple of -15*(-76)/266*14/6 and -14*-3*(-4)/(-42)?
20
Let a be ((-3)/15)/(8/(-20))*2. What is the lowest common multiple of 40 and (7 - 3 - -17) + a?
440
Let l = 11 - 1. Let q(w) = -4*w - 8. Let b(k) = -2*k - 30. Let y be b(-12). What is the lowest common multiple of l and q(y)?
80
Let z = -7847 - -78403/10. Calculate the common denominator of z and ((-3)/8)/(5/22).
20
Let w = 7 - 3. Suppose w*f = 5*p + 111 + 113, -2*f = -p - 106. What is the lowest common multiple of f and 3?
51
Let q be ((-1)/(-2 + 3))/(2/(-134)). Let r = q + -65. What is the least common multiple of 198 and r?
198
Let m = 3 + -9. Find the common denominator of 24/5 and 974/80 - m/30.
40
Let u(s) be the third derivative of s**6/120 - s**5/15 + 5*s**3/6 + 6*s**2. Let p be u(4). Calculate the lowest common multiple of 5 and 1 + -4 + (p - -2).
20
Let a = -36083/54519 + 1/12828. Calculate the common denominator of a and -53/16.
272
Suppose -5*n + 31*n = 1664. What is the least common multiple of 32 and n?
64
Find the common denominator of (8/42)/((-9)/(-294)) and 1/(36/(-268)) - -4.
9
Suppose -2*m = m + 3*y - 90, 0 = 4*m - 5*y - 120. Let s(z) = z**3 - 5*z**2 - 3*z - 4. Calculate the least common multiple of s(6) and m.
210
Let z(c) = 3*c**2 - c. Let x be z(1). Let t be (x + -2)*1/(-2). Find the common denominator of -51/4 and (-44)/(t - (3 + -18)).
60
Suppose 2*d + 10*d = 816. Let c = -57 + d. Calculate the least common multiple of 5 and c.
55
What is the common denominator of (574/294 + -2)*(-14)/12 and 41/24?
72
Calculate the smallest common multiple of (2 - 10/6)*36 and ((-12)/54)/(1/(-9)).
12
Suppose -4*o + 658 = 4*i + 210, -2*o - 3*i = -226. What is the smallest common multiple of 100 and o?
1100
Let u = -55/2 - -92/3. Let m(v) = v**3 + 4*v**2 - 6*v - 3. Let c be m(-5). What is the common denominator of c*11/4*6 and u?
6
Let a = 41 + 301. What is the smallest common multiple of a and 9?
342
What is the common denominator of ((-504)/408)/(27/(-12)) and -27/13?
663
Suppose 5*t = 1 + 14. Suppose -38 - 10 = -t*f. What is the lowest common multiple of f and 16?
16
What is the least common multiple of 96 and (6/(-15) + 2)/((-26)/(-195))?
96
Let z = 771 - 663. What is the smallest common multiple of 12 and z?
108
Let l = -699 + 1465/2. Let n = 157492/65 - 2423. Let a = 1117/260 + n. Calculate the common denominator of a and l.
4
Calculate the smallest common multiple of (-371 + -7)/(-6) - -7 and 6.
210
Let a = 1749 + -6949/4. Find the common denominator of 52 - 48 - 90/14 and a.
28
What is the common denominator of 5 + 9 - 20688/1440 and (-155)/36 + 1/(-4)?
90
Suppose 4*y = -8*y + 264. Suppose 0*p = 5*p - 4*m - 46, 0 = -3*p + m + y. Calculate the lowest common multiple of 16 and p.
48
Suppose 1360 = 11*j + 9*j. Suppose -j = -9*p - 23. What is the least common multiple of 10 and p?
10
Suppose -4*g + 2*m - 110 = 0, 2*m - m = -4*g - 101. Let l = g - 12. Let n = l 