. Let p = u + 17806. Calculate the common denominator of p and 33/16.
80
What is the common denominator of 39/152 and (8/(-6) - (-2209)/(-188))/19?
456
Let j(w) = 6*w**2 - 3*w - 3. What is the smallest common multiple of 54 and j(-1)?
54
Let u(q) be the third derivative of q**4/24 - 9*q**3/2 + 8*q**2. Let o be u(13). Let y = o - -20. Calculate the lowest common multiple of y and 1.
6
Let t be 38701/(-2652) - (-1)/4. Let u = t - -530/17. Calculate the common denominator of u and 17/48.
48
Let h(b) = 3*b**2 + 19*b - 16. Let x be h(-14). Let k be (-313)/(3 + x/11). Let i = 20/113 - k. What is the common denominator of i and -49/8?
24
Suppose -2*g + 6 + 2 = 0. Suppose 25 = s + g*s, -5*z = -s - 20. What is the common denominator of 1/22 and z?
22
Suppose 83*k - 53*k - 2100 = 0. What is the smallest common multiple of k and 28?
140
Calculate the common denominator of 49/117 and 5490/(-1092) + 6 + 12/(-8).
819
Calculate the least common multiple of (((-27)/(-12))/3)/(19/1824) and 8.
72
Suppose -35*i = -27*i - 40. Suppose -320 = s - i*s. Calculate the lowest common multiple of s and 10.
80
Calculate the common denominator of 21/(-28)*((-100)/32 - -2) and 17/40.
160
Let g(u) = -9*u - 84. What is the least common multiple of 125/6 + 6/36 and g(-14)?
42
Let v be (-5)/(-40) + 671/8. Let w = -469/5 + v. Let b = 9551/6 - 1567. Calculate the common denominator of b and w.
30
Let l = 123 - 123. Suppose 2*z + 5 = z - 2*s, 4*z + s - 8 = l. What is the least common multiple of z and 30?
30
Let i = -2/239 - -4545/478. Find the common denominator of i and 71/4.
4
What is the common denominator of 3/36*4/((-16)/(-117)) and 75/4?
16
Let a = 1 - 2. Find the common denominator of 3/5 - (-22)/(6160/2877) and a/((-11)/(-60)) - -1.
88
Let j = -1351/30 - -275/6. Find the common denominator of -113/182 and j.
910
Let m = -1828 + 2146. What is the smallest common multiple of m and 6?
318
Let i be ((-2)/470)/(6/(-66765)). Let b = 7/47 + i. Calculate the common denominator of b and 2/(-11) - (1476/(-55))/9.
10
Let q be (-9)/(-2) - (-3)/(-6). Suppose 0 = 4*v + 2*z - 12, -10 - 10 = -q*v + 2*z. Calculate the least common multiple of 16 - 6/(-9)*-3 and v.
28
Suppose 0 = 7*x - 29 - 27. Suppose 4*l = -14 + 50. What is the smallest common multiple of x and l?
72
Find the common denominator of ((-4)/96)/(57/(-4598)) and -3 - 31*1/28.
252
Let p = 808 + -463. Let w = -7669 - p. Let d = 112097/14 + w. Calculate the common denominator of -85/22 and d.
154
Let c = -63 + 77. Suppose -2*q + c = d + 2*d, d + 4*q - 8 = 0. Calculate the least common multiple of 18 and d.
36
Let f(n) = -104549*n**3 + 5*n**2 - 3*n + 2. Let s be f(3). Let z = s - -33763301/12. Let q = 9182 + z. Find the common denominator of q and 57/4.
12
Suppose -c = -3*v - 11, v = -3*v + c - 13. Let p = -4 + v. What is the least common multiple of 5 and 1/p - 407/(-66)?
30
Let v(g) = g**3 + 9*g**2 - g - 3. Suppose -5*n + 4*l - 41 = 0, 3*n + 2*n - l = -44. What is the least common multiple of ((-18)/8)/((-18)/48) and v(n)?
6
Calculate the common denominator of 86/15 and (2/((-8)/(-37)))/(81/(-6)).
270
Let h(n) = n**3 - 4*n**2 + 6. Let b be h(5). Let i(f) = f - 1. What is the least common multiple of i(5) and 18/(-90) - b/(-5)?
12
Let m = -1024/39 - -116687/4407. Calculate the common denominator of -45/8 and m.
904
Let j = -28 + 82/3. Let t = -103193/28 + 3688. Find the common denominator of t and j.
84
Let b(z) = z**3 - 4*z**2 - 4*z - 2. Let y(t) = -t**3 - 14*t**2 - 13*t + 3. Let s = -51 + 38. What is the smallest common multiple of y(s) and b(5)?
3
Let s = -10283/6 - -1697. Let i = 1/7600 - -406591/68400. Find the common denominator of i and s.
18
Find the common denominator of 53/162 and (-8 + (-1673)/(-196))*66/15.
1134
Suppose -1 - 2 = -3*d. Suppose -6*f + 22 = -5*f. What is the least common multiple of f and d/3 - 51/(-9)?
66
Let d(t) = 4*t + 1 - 3 + 4. Let r be d(3). What is the least common multiple of 12 and 49/r*(-8)/(-14)?
12
Let n = 3/814 + 23772/10175. Find the common denominator of -2 - (0 + 39/10) and n.
50
Suppose 45 - 43 = 2*r. Let t = -2 + 5. What is the lowest common multiple of r and t?
3
Suppose -3*q + 2*d + 159 = 0, q + d = -3*d + 67. What is the smallest common multiple of q and 5?
55
What is the common denominator of (22/(-33))/(20/(-201)) and ((-4)/144)/((-6)/636)?
90
Suppose 65 = 2*s + 35. Calculate the common denominator of ((-42)/(-175))/(4/s) and -125/18.
90
Let n(c) = 2*c + 6. What is the least common multiple of n(-2) and 2?
2
Let v = -63 - -36. Let g = 49 + v. Suppose 0 = 4*b - 3*k - 103, b + 4 = -5*k + 1. What is the lowest common multiple of g and b?
22
Suppose 3*i - 31 = 80. Find the common denominator of (-1 + 2)*(-33)/(-27) and i*3/39 - 0.
117
Let w = -27 - -31. Calculate the common denominator of 19/5 and w - 110/16 - 0.
40
Suppose -40 = -2*m + 4*o, 2*m - 2*o + o = 28. Let q = -10 - -4. What is the smallest common multiple of 1/(-3)*0 - q and m?
12
Let h = 3 + 0. Suppose -h*j - 5*l + 1 = -6*j, -5*l = 5. Find the common denominator of -61/6 and (-1491)/168 - 1*j.
24
Let r = 1736 + -27765/16. Find the common denominator of 127/108 and r.
432
Let h be 2372021/(-540) - 3 - 12/(-3). Let z = -21962/5 - h. Find the common denominator of z and 79/6.
108
Calculate the common denominator of (335/(-70) + 5)*826/72 and -17/6.
24
Suppose 12 = -40*w + 39*w. What is the common denominator of 45/8 and (w/32)/((-6)/178)?
8
Find the common denominator of 47/5 and 14/17 - (41 + -43).
85
Let v = 51390639/374 - 137408. What is the common denominator of v and 29/136?
1496
Let t(x) = x**2 + 6*x - 10. Let q be t(-6). Let r be -3 - 0 - (q + 6). What is the smallest common multiple of r/(-1) + -8 + 19 and 8?
40
Let d(l) = l**3 - 3*l**2 - 2*l - 4. Let h be d(3). What is the least common multiple of (-43)/(-5) - (-6)/h and 11?
88
Suppose 0 = 4*d - 3*p - 342, -5*d = 3*p - 8*p - 430. What is the lowest common multiple of d and 36?
252
Let m be -1*(3 + 1 + -3). Calculate the smallest common multiple of 38 and (-4 + -4)/m - 2.
114
Suppose 0 = -4*d + 74 + 70. Suppose 5*a - 3*i = 15 - 2, 3*a + i - 5 = 0. Calculate the lowest common multiple of d and a.
36
Let u = 71 - 68. What is the common denominator of (u/(-40))/(63/4732) and 17/9?
90
Suppose -2*m = -5*q + m - 200, -4*m = 2*q + 80. Find the common denominator of 73/8 and (-4 - -2)*(-3)/q.
40
Let q = -14484/7 + 2062. What is the common denominator of 111/28 and q?
28
Calculate the smallest common multiple of (1 + -3)/(-1) + (161 - -5) and 3.
168
Suppose -5*t + 2*t - 24 = -z, -16 = -2*z - 2*t. Calculate the least common multiple of 6 and (-54)/z*8/(-3).
12
Let w = 7439/6 - 1246. Calculate the common denominator of w and -52/43.
258
Suppose -46*z = -43*z - 60. Let w(s) = -2*s - 7. Let x be w(-7). Suppose 0 = -3*v + x*v - 40. Calculate the smallest common multiple of v and z.
20
Let r = 54 - 329. Suppose 0 = -41*a - 1715 + 5815. What is the common denominator of -23/14 and ((-2)/a)/((-10)/r)?
140
Let d = -16 - -10. Calculate the common denominator of (-130)/45 + 2/d and (-1)/(-4)*500/(-15).
9
Let u = -864 - -899. What is the smallest common multiple of u and 35?
35
Suppose -34 = -145*r + 144*r. Calculate the lowest common multiple of 4 and r.
68
Let v be 2/10 + (-110526774)/193620. Let n = -65/922 + v. Let g = -574 - n. What is the common denominator of 53/4 and g?
28
Let p be (439/(-6))/(117/69). Let a = 67792 - 880834/13. Let k = p + a. What is the common denominator of -21/4 and k?
36
Let h = -3231939/224 + 14428. Find the common denominator of -97/196 and h.
1568
Suppose 0*u + u + 5*q = 27, u - 3*q + 13 = 0. What is the common denominator of (-159)/u*(-4 - 357/(-90)) and 71/24?
120
Let r = 25/22 + -1124/1023. Calculate the common denominator of -41/24 and r.
744
Suppose -5*x - 6 = 5*f + 14, 3*f - 2*x = 13. Calculate the common denominator of (-1076)/336 + 4/14 and 0/f - 5/18.
36
Let q = -25587 - -2635406/103. Let y = q + -38144/515. Let p = -73 - y. Find the common denominator of p and -35/3.
15
Suppose 4*i - 3*m = -43 + 62, -4*i + 16 = -4*m. Let v(x) = -x + 7. What is the least common multiple of v(5) and i?
14
Let p = -1 - -23. Let o = -992 + 1000. What is the least common multiple of o and p?
88
Let f be 62 + (1 - 3) + -3. Suppose f = 3*j - x + 11, 36 = 2*j + 2*x.