4 + 82/8?
110
Suppose 3*t = 2*t. Suppose p = -t*p. Let s(u) = u**2 - u + 10. What is the smallest common multiple of s(p) and 1?
10
Let z(s) = s - 8. Let i be z(7). Let x be ((-14)/6)/(i/3). Calculate the common denominator of -55/12 and 15/(-168) - 2/x.
24
Suppose 2*v = -z - 1, -3*z - 2*v = -6*z + 5. Let w be 1/(-1) - (z - -1). What is the lowest common multiple of 11 and -2 - (2*w + -3)?
77
Let u = -5128 + 461509/90. Calculate the common denominator of -4/15 and u.
90
Suppose -3*v - v + 56 = 0. Suppose 0 = 16*j - 2 - 222. Calculate the least common multiple of j and v.
14
Let r = -2/29 - 133/174. Let m = 17/12 - r. Let b = 1669/306 - 156/17. Find the common denominator of b and m.
36
Suppose -2*a + 3*l + 3 + 10 = 0, 0 = 2*a + 3*l + 5. Let x be 2/a*(-4)/(-2). Calculate the smallest common multiple of (x/4)/(1/4) and 5.
10
What is the smallest common multiple of (-12)/(-7)*21/2 and 8/18*(-567)/(-18)?
126
Let i(w) = 133*w**3 - 4*w**2 + 2*w - 2. Let l = -1 + 4. Let g be i(l). Let b = g + -14159/4. What is the common denominator of b and -25?
4
Suppose 11 - 109 = -3*p - 4*i, p = -2*i + 30. What is the lowest common multiple of p and 6?
114
Let h(f) = -19*f**3 - 2*f**2 - 2*f - 1. Calculate the lowest common multiple of h(-1) and 8.
72
Calculate the common denominator of 40/21 and ((-3)/(-45))/((-5)/((-1850)/12)).
126
Suppose -2*u + 4*f + 2 = 0, 0*u - 3*f = 4*u + 18. Let k be (-28929)/(-15) - (-4)/10. Find the common denominator of 13/9 and u/(-5) - k/90.
18
Let a be 2 - (0 + 2)/(-1). What is the least common multiple of 3 - 10/(-1) - -3 and -2 - 12*a/(-2)?
176
Let u be 10/(-4)*(-1 - -39). Calculate the common denominator of u/(-4) - 2/1 and 9/(-10) - 1*-1*-1.
20
Let n = -4 + 6. Suppose -2*m + 72 = n*m. Let i = 18 + -6. Calculate the smallest common multiple of m and i.
36
Let w = 73 + -19. Suppose 5*d + 88 = -2*o - w, -136 = 5*d - 4*o. What is the common denominator of -73/22 and 166/d - (2 + -2)?
154
Suppose -s = -2*u + u - 4, 11 = -4*s - 5*u. Find the common denominator of 49 and s/(-1)*(25 - 0).
1
What is the common denominator of -79/18 and (-30)/1080*(-273 - 1)?
18
Let l be 5/(10/(-4)) - 4. Let y = l + 7. What is the common denominator of ((-385)/(-2))/(-5) - y and 19?
2
Let r = 0 + 3. Let y(q) = 2*q + 4. Calculate the lowest common multiple of y(r) and 2.
10
Suppose 2*g - 4*g + 4 = 0. Suppose 0 = -4*r + 18 - g. Suppose -r*b + 8 + 56 = 0. Calculate the smallest common multiple of b and 4.
16
Let h = -991/14 - -632/7. Let z = 2293/45 + -482/9. Find the common denominator of h and z.
10
Suppose -2*g + x - 6 = -x, -2*x - 2 = 0. Let k = g - -6. What is the smallest common multiple of k and 6?
6
Suppose 0 = k - 64 - 12. Calculate the common denominator of k/(-18) - 0 - -3 and -2/3.
9
Find the common denominator of -17/20 and (-7)/3*(-33)/(-16).
80
Calculate the common denominator of -3/46 and ((-9)/3 - 94)/(-10).
230
What is the common denominator of -73/10 and (0 + 12/(-18))*(-438)/80?
20
Suppose 0 = -3*i + 4*o - 185 + 12, 2*i + 106 = 5*o. Calculate the lowest common multiple of 4 and (i/18)/((-1)/2).
28
Let s(v) = -v**3 + 3*v**2 + 2*v - 2. Let k be s(3). Let r = -1 + k. Let h(t) = -t**2 - 8*t - 6. Calculate the smallest common multiple of h(-4) and r.
30
Let j = -12046/55 + 1101/5. Calculate the common denominator of j and -37/13.
143
Suppose 0*t - t + 4*y + 11 = 0, -2*t + 22 = -4*y. Suppose 28 = 3*k - 4*v, -3*k - 2*v = -k. Calculate the least common multiple of k and t.
44
Let o(n) = -n + 9. Calculate the smallest common multiple of o(5) and 10.
20
Suppose -10 = 4*k + 2. Calculate the lowest common multiple of k/(-1) + (7 - 6) and 10.
20
Let n(w) = -2*w**3 - 2*w - 3. Let s be n(-2). Suppose a + s = -0*a. What is the common denominator of a and 10?
1
Let d be 1141/(-28) + 2/(-8). What is the common denominator of -45/2 and (-5 + 2)*d/(-21)?
14
Let g(a) = -3*a + 3. Suppose 4*s + 10 = -2*k, 3*s + 14 = 3*k - 16. What is the smallest common multiple of k and g(-2)?
45
Let y(v) = v**2 + 9*v - 4. Let k(j) = j**3 + 7*j**2 + 7*j - 4. Let t be k(-6). Calculate the smallest common multiple of 6 and y(t).
6
Let r(g) = g**2 + 4*g - 3. Let n be 2/(-10) - (-63)/15. Suppose -n*x = -32 - 40. Calculate the least common multiple of x and r(-7).
18
Let k(d) be the third derivative of d**6/120 - d**5/60 + d**3/3 - d**2. Suppose 6*m - 12 = 2*m. What is the least common multiple of 12 and k(m)?
60
Suppose -9*h + 8 = -5*h. Let a = -11 - -4. Let s = 12 + a. Calculate the lowest common multiple of h and s.
10
Let o(l) = 2*l**2 - 7*l - 3. What is the lowest common multiple of 5 and o(4)?
5
Let a = -8 - -13. Let z = -3 + a. Calculate the least common multiple of 28 and z.
28
Let y(l) = l**2 - 12*l + 5. Let b be y(5). What is the common denominator of 86/b + (-1)/3 and (-2)/(-4)*(-126)/49?
35
Let n = -13646 + 41291/3. Let k = -1579/15 + n. Let r = -22798/11 + 2075. Find the common denominator of r and k.
55
Let p = 1/67 + 461/536. Let s = -187 + 112. Find the common denominator of p and 1/2*s/2.
8
Let b be 3/((-2)/(-2)) - 169. Calculate the common denominator of -1 - 13/20 - 1 and (-10)/(-16)*b/10.
40
Let x = 2096 - 1490. Find the common denominator of -51/26 and (x/8)/((-42)/4).
182
Suppose 1 = -2*m + 7. Suppose -f + 4*s - 37 = -6*f, 3*f + 2*s = 21. What is the least common multiple of f and m?
15
Let w = 10173 - 274603/27. Calculate the common denominator of w and -53/18.
54
Let v = -30458 + 852729/28. What is the common denominator of -25/22 and v?
308
Let c = -1384 + 8363/6. Find the common denominator of 3/(-12) - (-2 - (-267)/(-60)) and c.
30
Suppose 3*k + k - 88 = 0. Suppose 19 = -4*m + 59. Suppose 5*s = -5*n + 75, -2*n + 43 = 3*s + m. Calculate the lowest common multiple of n and k.
132
Let b(z) = 12*z - 3*z**2 - z**2 - 6 + 0*z**2 + 3*z**2. Suppose -1 = 2*f - 11. What is the least common multiple of f and b(11)?
5
Let q(z) = -513*z + 9. Let g be q(-7). Let x be ((-4)/5)/((-3)/g). Let r = x + -6732/7. What is the common denominator of -5/6 and r?
42
Let z = -8 + 12. Suppose 0 = q - z. Suppose 24 = -d + q*d. What is the least common multiple of d and 10?
40
Suppose 5*b = -2*n + 5, -3*n + 1 = -3*b + 4. Suppose 0 = 2*c - b - 1. What is the smallest common multiple of 10 and c?
10
Suppose 3*q + 2*q = 4*f - 31, 2*f - 17 = 3*q. Let v(z) = 6*z - 8. Calculate the least common multiple of v(4) and f.
16
Suppose -6*p + 528 = 2*p. What is the smallest common multiple of p and 8?
264
Suppose 9*b + 4 = 184. What is the lowest common multiple of b and 0/(-1 - 0) + 3?
60
Calculate the common denominator of ((-1)/24)/((-150)/40)*-46 and 31/35.
315
Suppose -h + 8 = 6. Calculate the smallest common multiple of h and 12.
12
Let t = -2344 + 49235/21. Find the common denominator of t and 59/6.
42
Let p(l) = 20*l - 4. Let i be p(2). Calculate the common denominator of 37/18 - (-8)/i and -49/4.
36
Let s be (4/(-8))/(1/(-10)). Suppose -3*h = m - 0 - 3, m = s*h + 11. Calculate the lowest common multiple of 16 and m.
48
Suppose 3*w - 4*w = -102. Find the common denominator of (-6)/(-15) - w/(-20) and (-8)/(-1)*(-2)/(-18).
18
Let r(n) be the first derivative of n**4/4 + n**3/3 - 2*n + 1. Calculate the lowest common multiple of (-6)/(-9)*-3 - -5 and r(2).
30
Calculate the common denominator of ((-10)/(-13))/(5/10) and 31/4.
52
Let o = 38 - 30. Calculate the least common multiple of 11 and o.
88
Suppose 3*x = -u + 5511, -5*u = 18 - 3. Let a = -48 + 30. What is the common denominator of 4/a - x/(-252) and 99/8?
56
Suppose -30 = -5*s + 5*j, -5*j - 18 = -4*s + 1. Calculate the lowest common multiple of 7 and s.
77
Let z = -13 - -25. Calculate the lowest common multiple of z and 2.
12
Find the common denominator of 7 and 0 - (-136)/52 - 0.
13
Suppose -5*x + 8*n + 92 = 4*n, -5*x - 5*n = -65. What is the smallest common multiple of 12 and x?
48
Let h(u) = u**3 - 8*u**2 + 6*u + 9. Suppose -i - i + 50 = 3*r, 5*r - 2*i = 94. What is the least common multiple of r and h(7)?
18
Calculate the common denominator of -3/11 and 0/3 - 108/10.
55
What is the lowest common multiple of 9 and 258/16 - (-7)/(-56)?
144
Let a = -43011 + 2064665/48. Find the common denominator of a and -77/8.
48
Let t = 34 + -23. Calculate the least common multiple of 2 and t.
22
Find the common denominator of -97/12 and (-4)/22 -