8 + (8/(-2) - 1).
33
Find the common denominator of ((-46)/(-24))/((-36)/9) and -15/16.
48
Suppose -4*f = -p + 22, 3*f = 4*p - 0*f - 36. What is the least common multiple of 117 and p?
234
Suppose 5*k - k - 56 = 0. Suppose -t + 4 = -k. Calculate the lowest common multiple of (-30)/8*(-96)/t and 6.
60
Let m = 10/267 + -9187/534. Let q = 736322/33 + -22315. Find the common denominator of m and q.
66
Let c be (-6)/(-10) - 366613/46140 - -3. Let k = 10/2307 - c. Calculate the common denominator of k and -69/4.
20
Let d(c) = -c + 7. Let l be d(7). Suppose -i - r + 1 = 35, l = i - 3*r + 14. Let w = -12 - i. Calculate the smallest common multiple of 4 and w.
68
Suppose 4*t - 3*y = 94, -5*t - 5*y + 4*y = -108. Suppose -47 = -4*q + 213. Let k = q - 43. Calculate the smallest common multiple of t and k.
22
Let c(y) = -3*y + y**2 + 4*y - 6*y**3 - 2*y**3. Let x(a) = 4*a - 48. Calculate the least common multiple of c(-1) and x(14).
8
Suppose -v + 2*g - 102 = 0, -2*v + 7*v + 562 = -3*g. What is the common denominator of (4/v)/((-16)/(-2020)) and ((-51)/(-60) - 1)/((-9)/(-186))?
110
Let d = 530 - 470. Calculate the lowest common multiple of 96 and d.
480
Suppose -2*x - 3*x + 4*m - 86 = 0, -5*x = -3*m + 82. Calculate the common denominator of (-2)/x + 2508/(-1680) and -13/62.
620
Let a = 1 + 2. Suppose a*q = 6529 + 12035. Let h = -61823/10 + q. Find the common denominator of 13/11 and h.
110
Let m be (-2 + (-1794)/12)*(-4)/6. Find the common denominator of -23/48 and ((-63)/27)/(-7) - m/24.
48
Calculate the common denominator of 61/30 and (-5397)/3780 + 1*(-1)/(-4).
90
Let f = -118 - -162. What is the common denominator of -5/32 and 9/f + 2/4?
352
Let m = -6 + 11. Calculate the smallest common multiple of (-82)/10 + 8 - 41/(-5) and m.
40
Let v = 2315/20664 - -5/504. Let f = -2593/82 + v. Calculate the common denominator of f and -3*4/(-88)*-34.
22
Suppose -3*w - 60 = -5*w. Calculate the common denominator of (1/33)/(w/(-1755)) and -2 + ((-148)/(-72) - 1).
198
Let z(r) be the second derivative of 0 + 2/3*r**3 - r + r**2. What is the smallest common multiple of z(1) and 16?
48
Let x = -22 - -42. Let u = x - -3. Suppose -c - 3*o = -35, o = -0*c + c - u. Calculate the smallest common multiple of 2 and c.
26
Let g = 5239/48 + -671/6. Find the common denominator of g and 41/8.
16
What is the common denominator of -47/84 and 20/135*-78 + 1/(-9)?
84
Let u = 82955/281152 - -8/4393. Calculate the common denominator of -47/16 and u.
64
Let l = -343465/21 - -16359. Let r = -79723/15 + 5309. Find the common denominator of r and l.
105
Suppose 0 = -3*p - 2*p - 515. Let z be p*(0/1 - 7). Let y = z - 5757/8. Calculate the common denominator of -87/22 and y.
88
Suppose 5*q - 2*z - 157 = 0, 20*q + 3*z + 120 = 24*q. Calculate the lowest common multiple of 57 and q.
627
Let o = -23 - -38. Let u(p) = 5*p**2 + 8*p - 9. What is the smallest common multiple of o and u(2)?
135
Let z = 97 - 92. Suppose 2*x = -p + z, -p = -4*x + p + 6. Calculate the smallest common multiple of 3 and x.
6
Let a(n) = -n**2 - 17*n - 68. Calculate the smallest common multiple of 8 and a(-8).
8
Calculate the common denominator of 1/(120/(-9))*44/(-8) and 85/24.
240
Let q = 10423502 + -10892560682/1045. Let m = q - -10689587/6270. Let c = -1711 + m. What is the common denominator of 9/2 and c?
6
Let p = 1137353/412182 - 2/22899. Calculate the common denominator of -73/72 and p.
216
Suppose -t + 6*t + 225 = 3*a, a - 3*t - 79 = 0. Calculate the lowest common multiple of 10 and a.
70
Suppose -2*y + 3 = 3*i - 0*y, 0 = i + 4*y - 11. Let j be -13 - (-1 - (-1 + i)). Let f = j + 16. What is the least common multiple of 9 and f?
18
Suppose 223 - 303 = -d. Calculate the lowest common multiple of d and 3.
240
Suppose -3*f + 10 = -86. Calculate the lowest common multiple of (-2)/11 + (-312)/(-22) and f.
224
What is the common denominator of 69/38 and (-13)/((-572)/(-126)) - (1 + 0)?
418
Let j = -11 + 17. Suppose 0 = -j*s + 7*s - 2. What is the smallest common multiple of 7 and 3 - (0 + (-1 - s))?
42
Let n = -10 - -13. Suppose -f = -n*x + 3, -2*x + 3 = -0*f - f. What is the common denominator of f*(-2)/(-174)*-22 and 29/7?
203
Let m be (-114)/(-42) + 6/21. Suppose p = m*o - 5, 2*o + 12 - 72 = -5*p. What is the lowest common multiple of 12 and p?
60
Let n be (18/(-21))/((-1)/7). Let p(t) = -t + 17. Calculate the lowest common multiple of 19 and p(n).
209
Let w = 11114 - 177757/16. Find the common denominator of w and -25/144.
144
Let t = 27 + -23. What is the lowest common multiple of 38 and t?
76
What is the common denominator of ((-430)/96 - -1) + -4 + 5 and 95/42?
336
Let y = -2/1337493 + -6860893099/106999440. Let m = y + 899/15. Let a = 20931/16 + -1311. Calculate the common denominator of m and a.
16
Let p be 122*((-210)/16 + -2). Let t = 1833 + p. Find the common denominator of t and (175/(-49) + 3)*13*1.
28
Let a(g) = g**2 + 4*g - 6. Let k be 4*3*4/(-8). Let h be a(k). Let q(o) = -o**3 + 6*o**2 + o. What is the least common multiple of q(h) and 20?
60
Let f = -872/29 - -14321/348. Calculate the common denominator of -31/230 and f.
1380
Suppose 0 = -4*d, -2*j - 2*d + 5*d + 12 = 0. Calculate the lowest common multiple of 39 and j.
78
Let q be (1/(-46))/((-56)/(-54) + -1). Let u = 409/207 + q. What is the common denominator of u and -81/14?
126
Suppose 4*i = 9*i - 75. What is the common denominator of -179/30 and 6/i + (-484)/(-40)?
30
Calculate the common denominator of 0 + 159/(-54) - -4 and (-8)/(-10) - 554/180.
18
Calculate the common denominator of -71/662 and -6 - 9/(-6)*(-123)/(-36).
2648
Let v be (-98)/(-21)*(-4 + 1). Let l = -14 - v. What is the common denominator of (-4)/(64/158) + l and 85/12?
24
Let u = 2 + -7. Find the common denominator of 0/u + (-5)/(-6) and (9/18)/((-7)/(-96)).
42
Let p = -6259/216 - -734/27. What is the common denominator of p and -111/40?
120
Suppose -489*x = -522*x + 2574. Calculate the smallest common multiple of 16 and x.
624
Suppose 3*o + 52 = 4*l, 17*l - 2*o = 20*l - 22. Calculate the least common multiple of 590 and l.
590
Let r be (-432)/64*((-1492)/(-6) + 0). Let h = r + 1723. Calculate the common denominator of -51/44 and h.
44
Suppose k + 175 = 3708. Let c = k - 21119/6. What is the common denominator of 107/6 and c?
6
Suppose -4*f + 146 = w, 4*w + 3*f - 307 = 225. What is the least common multiple of w and 130?
130
Let r = 8 + -9. Let m be (7/r)/((-8)/(-168)). Calculate the common denominator of 19/10 and 38/18*m/28.
60
Let t(d) = -d**2 - 6*d + 1. Let i(k) = k**3 - 7*k**2 - k + 9. Suppose 4*w - 10 - 18 = 0. What is the smallest common multiple of t(-5) and i(w)?
6
Suppose -5*z = -z + 4. Let q be (-6)/((-4 + 2)/z). Calculate the common denominator of (-1)/q - 178/(-132) and -5/24.
264
Let k(l) = l + 4. Let g be k(6). Suppose -g - 18 = -4*x. Let n = -5 + x. What is the smallest common multiple of n and 18?
18
Let v = 1162 + -545. Let n = v - 4945/8. Let h = -905/4 - -1847/8. Calculate the common denominator of n and h.
8
Let o be 3*5*5/15. Suppose -o*k = 3*n - 31, n + 2*n - k - 1 = 0. What is the lowest common multiple of 16 and n?
16
Let i(y) = -y**3 + 8*y + 5. Let d = -14 - -26. Let o = -6 + d. What is the least common multiple of i(-3) and o?
24
Let o be ((-6)/(-15))/((-2)/10). Calculate the common denominator of 1/o + (-58)/(-10) and 1 + 101/(-4) - 1.
20
Let j = 18829/90409 + 72572063879/1516158930. Let x = j + 321/430. Let z = x - 756/13. What is the common denominator of z and 22/9?
9
Find the common denominator of 36/(-108) + 58/(-72) and -49/4.
36
Let v = -2647373/108 + 24513. Calculate the common denominator of v and -53/24.
216
Let o = 1081 + -2247/2. Let q = -13734/209 + 1393/22. What is the common denominator of o and q?
38
Let n be (-4)/(-10) - 32/(-20). What is the common denominator of (-869)/(-18) + (-2)/(-9) and (n/(-24))/(-5 - 704/(-141))?
4
Let f = -919285/4 - -6405421/28. Let z = 1055 + f. Calculate the common denominator of -29/6 and z.
42
Suppose 53*o = -15*o + 952. What is the smallest common multiple of o and 61?
854
Calculate the common denominator of -73/9 and ((-150)/112)/(308/(-98)).
1584
What is the lowest common multiple of ((-12)/(-15) + 0)/(8/20) and 8?
8
Let s = 1419399602 + -11738434641547/8270. Let y = -3/4135 + s. Let g = y + -117/10