Let g be 233022/(-13160) + 10/50. Let i = g - -660/47. Find the common denominator of 97/24 and i.
168
Suppose 101*z + 4608 = 104*z. Let w = 10775/7 - z. Calculate the common denominator of w and -5/24.
168
Suppose 3*p - 5*u = 209, p - 46 = -2*u + 42. Suppose 4*i = 2*w - p, -4*i - 107 = 3*w - 6*w. Calculate the lowest common multiple of 1 and w.
29
Suppose -162*m + 176 = -140*m. Calculate the least common multiple of m and 172.
344
Let r = -535069/48 + 11149. Find the common denominator of 115/264 and r.
528
Suppose 11*p - 14*p + 9 = 0. Calculate the smallest common multiple of p and 10.
30
What is the common denominator of (((-16)/(-36))/4)/((-30)/(-207)) and 139/6?
30
Let j = -104/9 + 2573/144. What is the common denominator of -23/10 and j?
80
Suppose 12 = 2*u - r, 0 = -5*u + 5*r - 0*r + 35. Calculate the lowest common multiple of u and 18.
90
Suppose -5*w - 2*c = 103, -4*w - 23 = -3*w - 2*c. Calculate the common denominator of -41/12 and (3*w/(-12))/(9/39).
12
Let l = -12 + 16. What is the lowest common multiple of 22 and l?
44
Let n = 49 - 47. Suppose n*a = -5*g - 4, 0 = 3*g + 6 - 0. What is the lowest common multiple of 6 and a?
6
Let q(i) = -18*i + 55. Let r be q(3). Let j = 92 + 26. Calculate the common denominator of j/36*1 + r and 91/10.
90
What is the common denominator of 137/144 and (-88)/(-26)*(-4)/192*-4?
1872
Let j = -394 + 30340/77. What is the common denominator of j and -15/14?
154
Let s be (-13)/13 + (-2447)/5. Let c = s - -488. Calculate the common denominator of c and -58/3.
15
Let z = 263465/197778 - 15/9418. Let h = 5/51 + z. Let q(k) = -33*k - 1. Calculate the common denominator of q(1) and h.
7
What is the common denominator of (21*3/(-12))/((-450)/(-460)) and (-1)/7*5/1?
210
Calculate the common denominator of (-29)/8 - 2/(-8) and (13 + (-5369)/350)/((-6)/5).
40
What is the common denominator of 77/6 and ((-1)/(-3))/(13/(-77))?
78
Let n(p) = p**2 - p - 4. Let w be n(0). Let l be (-27 + 7)*w/(-5). Let o = 20 + l. Calculate the lowest common multiple of o and 6.
12
Let r(y) = -8*y - 38. Let s be r(-14). Let p = 78 - s. What is the least common multiple of 2 and p?
4
Suppose -47 + 14 = -3*l. Suppose -3*d + 35 = l. Calculate the lowest common multiple of d and 2.
8
Calculate the common denominator of 1*5372/(-1144) + (-15 - -20) and 103/312.
3432
Suppose 0 = -2*s - 17 - 151. Let b be 2196/99 + 5/((-55)/2). Find the common denominator of -11/4 and -2 - (s/b - -2).
44
Let i = -22 - -17. What is the common denominator of (2/9)/(i/(150/(-1))) and 73/4?
12
Let g(i) = 2*i**2 - i + 3. Let a be g(-3). Suppose 0 = -2*t + 8 + a. What is the least common multiple of t and 36?
144
Let l = -70/3 - -23. Let w(d) = d**3 - d + 2. Let c be w(1). Calculate the common denominator of l and (-1 + c/12)*29/5.
6
Let r = -58/173 - 12049/1730. Find the common denominator of r and 35/9.
90
Suppose -100 + 104 = -2*p. Let y(z) = -z**3 - 4*z**2 + 4*z - 2. What is the smallest common multiple of 2/((-4 + 0)/p) + 3 and y(-5)?
12
Let q be -2 + -1 + 1 + 114/3. What is the common denominator of -56/27 and (-142)/q - (3 + -3 - -1)?
54
Let s = -14523/16 + 1806801/2032. Let y = 30/127 - s. Calculate the common denominator of 43 and y.
4
Let s = -1/1661 - -147849/33220. Let t = 9976441/470514 - 45/7129. Let d = 158/11 - t. What is the common denominator of d and s?
60
What is the common denominator of 7/10 and (-6)/(-4)*3875/(-1395)?
30
Let z = 5359 + -32021/6. Find the common denominator of z and 93/430.
1290
Suppose 212 + 132 = -4*c. Let a be -34*(-3)/(12/c). Let t = 7203/10 + a. Calculate the common denominator of 41/9 and t.
90
Suppose -2 = 2*o, 25*b + 3*o - 117 = 22*b. Calculate the smallest common multiple of b and 168.
840
Let o be 4*(-201)/506 + 2. Let a be (-95)/(-10)*12/(-23). Let p = a + o. What is the common denominator of p and 14/5?
55
Let y = 2165 + -17297/8. Find the common denominator of 47/3 and y.
24
Suppose -3*b = -6 + 6. Suppose -4*k - s + 4*s + 113 = b, 71 = 3*k - 5*s. What is the least common multiple of 9 and k?
288
Let t(y) = -14*y - 18. Let c be t(-15). Find the common denominator of 73/3 and 4 - (-3 - c/(-45)).
15
Let g = -1/2443 + -134361/9772. Let t be -4 - -6 - (-926)/(-4). Let r = t - -223. Find the common denominator of r and g.
4
Let c be (-2)/(-3) + 14/42. Let o be 55 + 6/(-2 - c). Suppose -5*u = m - 80, -11 = -4*u - 4*m + o. What is the smallest common multiple of 18 and u?
144
Let v = -95410911 + 1109533483130/11629. Let m = v - -3/401. Let j = 617/116 + m. Find the common denominator of -11/6 and j.
12
Suppose -3*z + 10 - 4 = 0, -24 = -2*g - 4*z. Suppose 3*p - 133 = 3*h + 2, 2*p - 105 = -h. Calculate the least common multiple of p and g.
200
Let p = 794/3 - 269. Let c(n) = n + 6. Let b be c(-5). What is the common denominator of (-1154)/120 + b/5 and p?
12
Let l be 6 + -6 - 0/(-2). Suppose 0 = -5*h - 15, 2*s + h + l - 3 = 0. Calculate the lowest common multiple of 9 and s.
9
Let u be (16/(-10))/((-1)/(-5)). Let v = 17517/2435 + 3/487. What is the common denominator of (-68)/8 - (-2)/u and v?
20
Let r = 10 + -6. Suppose -r*m + 72 = -0*m. Let b(l) = -l**2 - 11*l - 4. Calculate the least common multiple of m and b(-8).
180
Suppose 3*o - 41 = 34. Let p = o - 19. What is the smallest common multiple of 66 and p?
66
Suppose -2*k - 2*h - 328 = -5*k, 0 = -k + 3*h + 100. Find the common denominator of (533/65 + -5)/(14/(-20)) and ((-4)/(-48))/(6/k).
63
Suppose -3*s = s. Suppose 4*x = 3*f - 4*f + 13, -2*x + 5*f + 23 = s. Suppose -x*g = -2*l, 5*g - 11 + 4 = -l. What is the lowest common multiple of l and 7?
14
Let i(o) = 6325739*o**2 - 2*o + 1. Let x be i(1). Let n = x + -1638368583/259. Let a = n - -95/37. What is the common denominator of a and -11/8?
56
Let n be ((-2412)/2413 - -1)*2. Let m = -118219/21717 - n. Calculate the common denominator of m and 27.
9
Let o = -28498154/11 + 2596634. Suppose 2*m - m = -5888. Let q = o + m. What is the common denominator of q and 4/11?
11
Let c(x) = x + 13. Let j = -163 - -110. Let a = 57 + j. Calculate the lowest common multiple of a and c(-7).
12
Let p = -911/17 + 13831/306. Let m = 130021/198 + -7158/11. What is the common denominator of m and p?
18
Let g = 306 + -2231. Let x = -3779/2 - g. What is the common denominator of x and -15/2?
2
Let x = 44662/77 + -580. What is the common denominator of x and 41/112?
1232
Let z be (3 + -3)*(-1 + 0). Suppose -2*q + 4*s - 2 = z, -q - 4*s + 20 = 3*q. Suppose q = -n + 9. Calculate the smallest common multiple of n and 3.
6
Let m be (-1)/(-2)*2*3045. Let j = -12257/4 + m. Let n = -11838 + 23765/2. Calculate the common denominator of j and n.
4
Let u = 70949/1288 - 1527/28. What is the common denominator of 43/69 and u?
552
Let z = -41 - -23. Let y = -18 - z. Calculate the smallest common multiple of (-1 + y)/(3/(-6)) and 11.
22
Calculate the least common multiple of -1*408/(-6)*1 and 18.
612
Let g = -6/1895 + -13954/380895. Let j = 6553/2010 - g. Calculate the common denominator of 81/26 and j.
130
Let s(m) = 2*m**3 - m**2 + m. Suppose 5*v - 12 - 15 = -w, -26 = -3*w - 4*v. Calculate the least common multiple of 1 - -12 - 35/(-7) and s(w).
126
Let r be ((-15)/(-9) - 0)*6/5. Calculate the common denominator of 2 - -3*8 - (r - 2) and 8/11.
11
Calculate the smallest common multiple of 18 + -5 + 6 + 3 and 10.
110
Let k = 3899 + -6720. Calculate the common denominator of 3/12*19 + 2 and k/(-770) - (-16)/(-20).
44
Suppose 2*k + 39 = 3*l, -2*l - l + 39 = 3*k. Calculate the smallest common multiple of 14 and (l - 1)/((-4)/(-2)).
42
Find the common denominator of 67/16 and (-2610)/(-340) - (3 - -3).
272
Calculate the common denominator of ((-4)/14)/((-36)/616) and 58/(-348) - (-13)/18.
9
Let x = 5 + -4. Let z = 4 - x. Suppose 0*a = -5*a - 5*q + 85, -z*q + 11 = a. Calculate the lowest common multiple of 16 and a.
80
Let l = 112 - 108. Suppose 0 = l*n + 16, 2*o - 5*n = 50 + 154. What is the lowest common multiple of o and 14?
644
Let u(m) be the third derivative of -m**4/6 - 13*m**3/6 + 3*m**2. Let f be u(-5). Find the common denominator of (-2)/f - (-552)/3696 and 143/12.
132
Let i(f) = 2*f**3 - 2. Let d be i(2). Suppose -4*j = -3*j - d. Calculate the lowest common multiple of j and 22.
154
Let w(o) = -30*o + 186. What is the lowest common multiple of 278 