j = 35022796523654/4190507306755 - 11/608068970. Let l = j + -1/1969. Find the common denominator of l and 13/18.
126
Suppose 3*r + 4*s + 11 = 0, 3*r - 6*r = -2*s - 1. Find the common denominator of -31/15 and (-70)/(-35)*((-13)/(-18) + r).
45
Let q = 6 + -4. Let h = -1531 + 1741. What is the common denominator of -19/40 and (3 - 2151/h) + q/(-5)?
280
Let y = 611502483/1066 + -573642. Find the common denominator of 37/234 and y.
9594
What is the smallest common multiple of (768/144)/((-4)/(-18)) and (2 - -1)*-1 - -15?
24
Suppose 0 = -2*x - 0*t + t + 252, x = -3*t + 147. Calculate the smallest common multiple of 66 and x.
2838
Let g(b) = b**3 - 22*b**2 - 164*b - 72. What is the least common multiple of g(28) and (-5400)/(-105) + (-4)/(-7)?
520
Suppose -34*t = -35*t + c + 1691, 0 = -5*c + 45. What is the smallest common multiple of t and 1100?
18700
Let f(c) = -c**2 - 19*c - 22. Let h(d) = d**2 - 12*d - 177. Let i be h(20). Calculate the smallest common multiple of f(i) and 670.
4020
Let p = -710 - -575. Let k = p + 244. Calculate the smallest common multiple of 3 and k.
327
Let i(o) = o. Let z be i(2). Suppose 14*a - 2*n - 80 = 12*a, -24*n = -6*a - 29*n + 64. What is the least common multiple of a and 7*2/(z/3)?
168
Suppose -269*p + 366835 = -222*p. Calculate the least common multiple of 7 and p.
7805
Let f = 9229 - -2011. Let t = f + -393444/35. What is the common denominator of t and -44/95?
665
Let q(g) be the third derivative of -g**6/40 - g**5/6 - g**4/8 + 2*g**3 - 2*g**2 - 8. What is the smallest common multiple of 4 and q(-4)?
56
Let p = 1568 - 1887871/1204. Let l = 46355/1204 - p. What is the common denominator of l and -11/182?
182
Let g = 475 - 3334/7. Let y = -3279 + 6303. Let w = y + -45308/15. What is the common denominator of w and g?
105
Suppose -4*v + 19 = -1. Suppose -o - 2*p = -34, -2 + 12 = v*p. Calculate the lowest common multiple of o and 6.
30
Suppose -4*c + 746 + 4502 = 0. Suppose 0*r + 2*r - c = 0. Calculate the smallest common multiple of 26/195 + r/30 and 20.
220
Let i = -662/151 - -99485/24311. Calculate the common denominator of -13/112 and i.
2576
Suppose -4*g = -8, -6*q + q + 9 = 2*g. What is the lowest common multiple of 11 and 16*(3 + q)*(-14)/(-14)?
704
Let h = 757 + -721. What is the common denominator of -151/60 and -3 - (93/h + -5)?
60
Suppose 4*q - c = 14329, -5*q + 14*c - 10*c + 17892 = 0. Calculate the smallest common multiple of 7 and q.
3584
Let r = -890 + 3326. What is the lowest common multiple of 84 and r?
2436
Suppose u = a + 837, u - 2*a - 2*a = 849. Calculate the lowest common multiple of 595 and u.
4165
Suppose 1 = 4*n + 3*d, 0 = 20*d - 22*d - 10. Find the common denominator of ((-1)/n)/(1442/(-110) - -13) and -29/60.
120
Suppose -1375 = s - d, 3*s - 4*d + 4104 = -8*d. What is the common denominator of (2/48)/((-21)/s) and 109/36?
36
Let p = -14282/91 + 2148/13. What is the common denominator of -43/143 and p?
1001
Let i = -743 - -8885/12. Suppose -5*z + z = -3*g - 9387, 4*g = -5*z + 11757. Let l = z + -25811/11. What is the common denominator of l and i?
132
Let x(s) = -s**3 - 24*s**2 - 19*s - 76. Let r be x(-22). Let p = r + 636. Suppose 5*t - 81 = 9. What is the smallest common multiple of t and p?
90
Suppose y - 34 - 65 = 0. What is the smallest common multiple of 4 - ((-73)/(-5))/((-13)/65) and y?
693
Suppose -6*a + 11*a = 400. Suppose 59*q = 10*q + 1960. What is the smallest common multiple of a and q?
80
Calculate the common denominator of 10/(-3)*(5016/(-3315880))/((-4)/(-5)) and -20/7.
61082
Suppose 5*m - 24 - 62 = 3*t, -3*m + 58 = -2*t. Calculate the common denominator of 4 - (-1 + 52/t) and (-455)/104 + 1/2 + -1.
8
Let t be (-50)/30 - (-28)/6. Suppose 3*g - t*h - 792 = -2*h, 2*g - 5*h = 515. What is the lowest common multiple of 11 and g?
2915
Calculate the common denominator of -935*(-21)/5460 + -1 + -2 + -2 and (-207)/(-24) + (-2)/4.
104
Let t be (-6 - -59)/(252/(-129)*-1). Let g = t + -145/7. Calculate the common denominator of g and 105/208.
624
What is the common denominator of -3*(4360/(-288) + 12) and 83/732?
732
Let m(i) = 17*i**3 - 2*i**2 + 1. Let d(q) = -q**2 + 14*q - 21. Let y be d(12). Suppose -y*v + 22 = -14. Calculate the least common multiple of v and m(1).
48
Suppose 0 = -3*z + l + 3*l + 9, -2*l - 1 = -5*z. Calculate the common denominator of -39/16 and (-1520)/(-60)*(2 + z).
48
Let y(c) = -2*c**2 - 57*c + 47. Suppose 126 = -0*d + 6*d. What is the least common multiple of d and y(-29)?
126
Let n(s) = 7*s - 1. Calculate the least common multiple of n(1) and 3/12 - 215/(-4).
54
Let l = 752142 - 788244729/1048. What is the common denominator of l and -1/2?
1048
Let d = 200189 + -796587/4. Let j = -1034 + d. Find the common denominator of -21 - 85/((-142120)/34314) and j.
44
Let z = 66 + -32. Let n(s) = 2*s**2 - 5*s + 8. What is the lowest common multiple of n(2) and z?
102
Let f be -4 + (-32942)/12 + 5. Let i = -13749/5 - f. Find the common denominator of i and 38/25.
150
Calculate the common denominator of -25/864 and ((-1088886)/(-113400) - 10) + 3/7.
21600
Let j = 5 + 16. Suppose -p = -4*y + j, 3*y + 4*p - 6 = 24. Let r(o) = 15*o**2 - 132*o - 16. Calculate the least common multiple of y and r(10).
492
Let c be 2085/10*(0 + -2). Let q = 499 + c. Let y(u) = -5*u + 1. Calculate the least common multiple of q and y(-3).
656
Suppose -41*s = -76*s + 840. Suppose 90 = h + 2*p, -3*h + 3*p + 247 + 50 = 0. Calculate the least common multiple of s and h.
96
Let s be (-2 - (-4)/6)/((-31034)/(-1003)). Let x = -63433/11046 + s. Find the common denominator of x and 9/14.
14
Find the common denominator of -77/40 and 0 - (-1245)/(-1180)*(-6)/(-252).
16520
Let c = -1 + 3. Suppose 0 = c*i + 15 - 47. Let o = -40061 - -40073. What is the lowest common multiple of i and o?
48
Let z(o) = o**2 - 8*o - 9. Let y be z(9). Suppose -12 = -2*m - m. What is the least common multiple of m and 42 + -38 + (y - -4)?
8
Suppose -62 = 3*u + 2*t, -2*u + 4*u = -3*t - 43. Calculate the common denominator of u/55 - (-1700)/(-165) and 36/13.
39
Suppose -3*j - j - j = -100. Calculate the smallest common multiple of 6372 and j.
31860
Let v = -2519 + 3255. Calculate the least common multiple of v and 552.
2208
Let h(q) be the third derivative of -23*q**4/24 - 13*q**3/6 + 31*q**2. What is the smallest common multiple of 30 and h(-2)?
330
Let c = -1327/2 - -2723/4. What is the common denominator of c and 4/316*142/8?
316
Let x = 27759 - 610587/22. What is the common denominator of 15/26 and x?
286
Let g(y) = -5*y - 4. Let p be g(21). What is the common denominator of 0/(-32) - 3/((-54)/p) and 37/18?
18
Suppose 27*a - 2*f - 7838 - 27808 = 0, -3948 = -3*a - 4*f. Calculate the least common multiple of a and 65.
17160
Let g = -5503 - -462197/84. Calculate the common denominator of g and -127/72.
504
Find the common denominator of (-6)/16 + 53846/(-256368) and 145/282.
13818
Let t = 757/12 + -56743/804. Let b be ((16/(-268))/(-4))/2. Let l = t - b. Calculate the common denominator of l and 23.
2
Let q(r) = 2*r**3 - 8*r**2 + 6*r - 9. Let m be q(4). Suppose 2*k + 3*g - m = 23, -5*g = 5*k - 90. What is the lowest common multiple of 48 and k?
48
Let s(m) = 20*m**3 - 3*m**2 + 8*m - 6. What is the least common multiple of 649 and s(3)?
5841
Let y(s) = -s**3 - 3*s**2 + 4*s - 3. Suppose 0 = 5*h - 14*r - 2, -41*r + 28 = 5*h - 42*r. Calculate the least common multiple of y(-5) and h.
54
Let r be -3 + (-2994)/21*30/(-1400). Let g = r + -5883/5390. Calculate the common denominator of -37/45 and g.
495
Let q(h) = h**3 + 5*h**2 + 2*h + 9. Let b be q(-5). Let l = b + 38. Suppose l = 4*a - i, -2*a = i - 3 - 20. What is the smallest common multiple of a and 92?
460
Calculate the common denominator of (57/3588)/(70/80*(-6)/6) and -45/77.
23023
Suppose -5*z - 9 = d + 12, 0 = -3*d + 5*z + 37. Suppose 5*i = -10, -d*i - 7 = -w - 0*w. Let s = 16 - w. Calculate the smallest common multiple of 8 and s.
136
Let y(a) = a + 1. Let l be y(-5). What is the common denominator of -41/40 and ((-85)/408)/(l/(-3))?
160
Suppose 4*u - n = -3*n - 13316, 4*n = 16. Let o = -33349/10 - u. Calculate the common denominator of -63/40 and o.
40
Let u = -1756/5 - -5548/15. Let y = -7/157 - -24504/553111. Let s = y + 116264/17615. Calculate the common denominator 