f = 35 - 112/3. Calculate the common denominator of (5 + ((-1672)/(-24))/11)*9/(-20) and f.
30
Suppose 4*d - 5 = -2*l - 17, l - 6 = 2*d. Calculate the common denominator of (-3)/((-12)/(-142)) - l and -13/16.
16
Suppose 3*k - 9 = 0, -5 = v - 0*k - 3*k. Suppose -6 = 2*j + 2*a, 1 = -v*j + a + 4. Suppose j = 5*p + 20 - 90. What is the lowest common multiple of p and 6?
42
Let c = -70 - -72. Suppose -2*w = i - 173, 0 = -4*w + 6*i - c*i + 316. Calculate the smallest common multiple of w and 5.
420
Suppose 6 + 13 = -z. Let i = -13 - z. What is the lowest common multiple of 20 and i?
60
What is the common denominator of 61/540 and (-7)/2*(-3876)/1197?
540
Suppose -22 = -3*m - 7. Let z(v) = 6*v**3 - v**2 + v - 1. What is the smallest common multiple of (13/5 - 1)/(2/m) and z(1)?
20
Let r = 13471/22 + -612. Let j = -32/477 + 17459/1908. What is the common denominator of r and j?
132
Let h = -362605607/1046925 + 313450/891. Let s be ((-48)/(-20))/6*(-2)/470. Let t = s - h. Find the common denominator of t and 37/8.
72
Calculate the common denominator of 15/22 and (1 + (-28)/20)/((-20)/(-270)).
110
Let u = -587 + 2359/4. Calculate the common denominator of u and 118/160 + (-5)/(-25).
16
Suppose 4*p + 12*p - 1280 = 0. What is the common denominator of (-425)/p - (-3 + 2) and -43/20?
80
Find the common denominator of 1/(-4) - 2590/504 and 77/60.
180
Let g(y) = -y**3 + 12*y**2 - 11*y. Let j be g(11). Suppose j = 2*a - 15 - 9. Suppose -a*z + 110 = -7*z. Calculate the least common multiple of 14 and z.
154
Let j = 840/137 + -90691/15618. Calculate the common denominator of -31/24 and j.
456
Let u(b) = -b**3 + 5*b**2 + 4*b + 3. What is the smallest common multiple of u(4) and 14/(-4)*40/(-28)?
35
Calculate the common denominator of (-36018)/(-16632) - (-2)/(-14) and 47/392.
4312
Suppose 2*l + l - 5*z - 693 = 0, -2*l - 4*z + 462 = 0. Let x = l - 165. What is the common denominator of -7/20 and x/(-12)*9/7?
140
Suppose 5*d = 5*v - 80, 8*v - 3*v = -5*d + 120. Let j be (v/30)/(1/(-6)). Find the common denominator of 62/9 and j/(96/(-153)) + -1.
72
Suppose -5*q - 70 - 1 = -4*v, -5*v = 2*q - 97. Suppose 3*g = 11 + v. What is the smallest common multiple of g and 24?
120
Let r = -7 + 20. Suppose 0 = 2*z + 10, 5*b + 70 = -0*b - 4*z. What is the lowest common multiple of 1 and (-1 - 1) + r + b?
1
Let j = -499 + 539. Calculate the least common multiple of 20 and j.
40
Let q = 39187/6 + -6511. Find the common denominator of q and -19/24.
24
Let j = -3/55874 + 337087857/279370. Let z = 1216 - j. Find the common denominator of z and 24/13.
65
Calculate the smallest common multiple of 143 and -1 + 169 + 17/(-204)*-12.
1859
Let h = -498914689/888 - -561841. Calculate the common denominator of h and -27/2.
888
Let w = 52673/37050 - -2/1425. Find the common denominator of -43/9 and w.
234
Suppose -5*z = -c - 2 - 10, 0 = -z + 2*c + 6. Find the common denominator of (-1)/(7/z) - (-2512)/(-616) and 32/9.
99
Let h = -153447/16 - -9594. Find the common denominator of h and -65/9.
144
Let n(k) = -k**3 + 17*k**2 - 1. Let u be n(17). Let s(h) = -4*h**2 + 0 + 0*h**2 + h + 1 - 17*h**3 + 3*h**2. What is the least common multiple of 4 and s(u)?
16
Let u = 2213 - 2197. Calculate the smallest common multiple of 18 and u.
144
Let w = 60414 + -9907839/164. What is the common denominator of 107/52 and w?
2132
Let k = -611 - -1281. Let v be 11367/(-17) - (7 + -5). Let b = v + k. What is the common denominator of b and -19/4?
68
Let w = -20826931/19605 - 38/6535. Let j = 1044 + w. Find the common denominator of (21/(-15))/(6/(-10)) and j.
3
Suppose -2*c + 5*k = 2*k - 6, 4*c + k = 12. What is the least common multiple of 5 and 0/2 - ((-99)/c)/3?
55
Suppose 19*r = 157 + 1971. Calculate the smallest common multiple of 4 and r.
112
Let a = 1 - -4. Suppose -4*v = a*l + 94, 2*l = -l - 4*v - 58. Let g = l + 20. What is the lowest common multiple of 20 and g?
20
Let v be (-1420)/14238*2562/35. Let k = v - -5/339. Find the common denominator of k and 16/7.
7
Calculate the lowest common multiple of 108 and (8 + 140/14)*22/3.
1188
Let z be (6 + 0)/((-433)/(-7)). Let v = z - -35519/4330. Calculate the common denominator of -3/2 and v.
10
Let k be 3*((-3487)/121 - (-2)/(-11)). Let r = 98 + k. What is the lowest common multiple of 7 and r?
77
Suppose -5*k = -4*f - 25, -4*f = -3*k - 0*k + 23. Suppose -5*g - 2*h = 0, -h + k = -4. What is the common denominator of 2/13 and (-165)/50 - (-1)/g?
65
Let w(j) = -j**3 - 37*j**2 - 53*j + 16. Calculate the smallest common multiple of 8 and w(-36).
1256
Let h = -16 + 14. What is the common denominator of 1*142/20 - 2 and 52/3 - (-1 - h)?
30
Let l be (-18)/72 + (20871/(-20))/(-1). Let c = -1047 + l. Find the common denominator of -97/4 and c.
20
Suppose c = 3*w - 9, 0 = -0*w + w + 3*c + 7. Suppose 4*z = w*z - 3*f + 14, -f = z - 8. Let q = -5 - -9. Calculate the least common multiple of q and z.
20
Let j = -26003 + 4420379/170. What is the common denominator of -125/6 and j?
510
What is the common denominator of -43/3 and 2 + 0 - 2 - (-1036)/630?
45
Suppose -5 = -4*y + 2*t + 7, y - 3 = -5*t. Let a(c) = -3*c**2 + c + 3 + 1 - 2 + 2*c**y. What is the lowest common multiple of 4 and a(2)?
8
Let k(m) = m**2 + 10*m**2 - 4 - 7*m**2 + 2*m. Let i(h) = -h**2 - h + 1. Let d(w) = 2*i(w) + k(w). What is the lowest common multiple of 4 and d(-3)?
16
Suppose 11*o - 6*o - 350 = 0. Calculate the least common multiple of o and 55.
770
Let t(x) = x**2 - 10*x + 27. Suppose -3*u + 0*u = -204. Calculate the smallest common multiple of t(3) and u.
204
Let s = 57568879/1589840 + -82201/2672. Let k = s + 48/119. Calculate the common denominator of k and 51/20.
20
Suppose -h - 16 - 27 = -2*k, -41 = -2*k + 3*h. Let x = 3 - -9. What is the smallest common multiple of x and k?
132
Let z = 388943/128976 + 14/2687. What is the common denominator of 99/14 and z?
336
Let d = -893/132 + 1/66. Find the common denominator of 13/50 and d.
100
Let n = -5 + -3. Let r be 24 - (-4)/n*0. Suppose -6 = -3*c + r. What is the lowest common multiple of 10 and c?
10
What is the common denominator of -3 + (256/(-348))/(-4) + 2 and -1/30?
870
Let j(a) = 5*a**2 + 3*a + 6. Calculate the lowest common multiple of j(-2) and (-6 - 0)/((-6)/20).
20
Let k = -21 - -56. Let f = -34 + k. What is the smallest common multiple of f and 6?
6
Let n = -306677/27 + 11356. Find the common denominator of -31/30 and n.
270
Let j be 1/2*(2 - -30). Let m = j + -8. Calculate the least common multiple of 4 and m.
8
Suppose -15 = -5*z, 2*z = 3*y - y - 48. Calculate the least common multiple of 39 and y.
351
Calculate the common denominator of ((-158)/18)/(4/(-6)) and (-2 + 18/60)/((-24)/30).
24
What is the common denominator of 244/(-51) + 13/(39/12) and -42?
51
Let i = 7883/432 + -572/27. Calculate the common denominator of i and 6/(-2) - 2348/(-616).
1232
Let s(o) = -o**3 + 2*o**2 - 8*o - 29. Calculate the lowest common multiple of 44 and s(-3).
440
Let b = -1718 - -1758. Suppose 0 = 3*x - 5*x + 56. Calculate the smallest common multiple of x and b.
280
Suppose 4*w + 2*y - y - 7 = 0, 4*w = -2*y + 2. Suppose j - 4 = -w. Suppose 3*v - 17 = j. What is the least common multiple of 6 and v?
6
Let b = -16067/6174 - 1473329111/123480. Let j = 11932 + b. Calculate the common denominator of 109/40 and j.
40
Let a(r) be the first derivative of r**4/2 - r**3/3 - 3*r**2/2 + 3*r - 5. Calculate the smallest common multiple of 7 and a(2).
63
Suppose 3*h = 5*y - 6, 3*y = y + 6. What is the smallest common multiple of h and 15?
15
Suppose 5*c + 3 - 18 = 0. Calculate the common denominator of 1/2*(c - 3) + -44 and -39/2.
2
Suppose 186*f + 21 = 193*f. What is the lowest common multiple of f and 46?
138
Suppose -84 + 30 = -3*k + v, 2*k + 3*v = 36. Suppose -2*i - i + 18 = 0. Calculate the lowest common multiple of k and i.
18
Let s = 41/123384 + 1814500445/246768. Let c = s + -7358. What is the common denominator of 21/16 and c?
16
Suppose -5*b = -56 - 164. Find the common denominator of (48/40*2)/(-1) and 28/1*(-3)/b.
55
Let j = -40345 + 7100697/176. What is the common denominator of j and -57/88?
176
Let y be (-4)/6 - (0 - (-324754)/(-44016)). Let m = y - -3/1048. Calculate the common denominator of 97/4 and m.
28
Suppose 0 = 4*c + 4. Find the common denomin