88
Suppose 2*f - f = 5*b + 1217, 3*b = -f - 735. Calculate the common denominator of -91/10 and b/168 - (-1 + 0).
210
Let p be (-2)/4 + (-1)/((-360)/(-7763823)). Let t = 21568 + p. Find the common denominator of t and -63/16.
80
Let z(w) = -w**3 + 5*w**2 + 18*w + 33. What is the lowest common multiple of 21 and z(-4)?
105
Suppose 165 = -11*r + 14*r. Suppose 0 = 10*w - r - 25. Calculate the least common multiple of 14 and w.
56
What is the common denominator of 4 - ((-354)/(-100) - (-22 + 23)) and 139/30?
150
Calculate the common denominator of (118/72)/((-26)/39) and -23/36.
72
Let u = -227/3 + 71. Suppose 0 = -4*i - 2 - 2. What is the common denominator of u and (0 - i) + 44/24?
6
Suppose 4*k + k = 5. Find the common denominator of (69/5)/((-84)/15*k) and 81/22.
308
What is the common denominator of 4/(-9830)*((-390)/(-24) - -5) and 29/22?
21626
Let b = 2/3137 + 454829/56466. Let u be (-4)/(-30) - 229206/7020. Let a = u + 396/13. What is the common denominator of b and a?
18
Let z be -4 - -3 - 90/(-3). Let k(t) = t - 25. What is the smallest common multiple of k(z) and 192?
192
Suppose 10*r - 154 = -14. What is the smallest common multiple of 85/10 + 2/(-4) and r?
56
Suppose 4*y - 1436 = -3584. Find the common denominator of y/(-189) - (-14)/(-49) and -17/37.
333
Let g(s) = s**3 + 26*s**2 + 5. Let w = -10 + 18. What is the least common multiple of g(-26) and w?
40
Calculate the common denominator of 77/10 and (-228)/(-43) + (-14)/((-168)/(-60)).
430
Suppose t - 64 = -3*a, -2*a - 4*t + 36 = -0*a. Calculate the lowest common multiple of 16 and (-10 + a)*(0 + 1).
48
Let n be 0 + -14 - (0 + -1). Let o be -81*(1 + 12/(-9)). Let k = o + n. Calculate the lowest common multiple of k and 8.
56
Let j = -4716 + 2155213/457. Let s = j + 46145/5484. What is the common denominator of -69/10 and s?
60
Let q = 41554663369471/16230 + -2560361273. Let h be 2 - 3 - (-714)/1082. Let d = q + h. Calculate the common denominator of -103/18 and d.
90
Let l = 17916284730 - 5339069530499/298. Let a = l + 79347626633/1417437. Let x = a - -2/3171. What is the common denominator of -87/10 and x?
90
Let k = -77893/20 - -3892. Calculate the common denominator of -31/8 and k.
40
Suppose 0 = -3*r + 27*r - 5568. What is the smallest common multiple of 22 and r?
2552
Let w = 20 - 17. Find the common denominator of ((-6)/4)/(49/273) + w and -1/14.
14
Let c be (-6)/(-12) - (-44450)/4. Let w = -1033490/93 + c. Find the common denominator of w and -107/24.
744
Let y = 2/97 + 2765/2328. Find the common denominator of -49/36 and y.
72
Let i(x) be the first derivative of -x**2/2 - 2*x + 2. Let d be i(-10). Find the common denominator of -1/20 and (-2)/d + (-165)/308.
140
Suppose 2*h + 2*p = -0*p - 164, -p + 318 = -4*h. Let a be (62/10 + -1)*h. Let b = 4585/11 + a. Find the common denominator of 18/5 and b.
55
Let r(d) = 10*d + 220. Calculate the smallest common multiple of 41 and r(-21).
410
Calculate the common denominator of ((-1)/(-3))/(10/(-545)) and (-5)/2 + (3 - 2).
6
Let c = 54645 + -13114841/240. What is the common denominator of 77/320 and c?
960
Let w be 8/(-52) - (-51304)/39. Let k = w - 63247/48. Find the common denominator of ((-4)/48)/(12/(-405)) and k.
16
Let v = 2561/2 - 1247. Find the common denominator of (581/(-168))/(2/4) and v.
12
Let y(x) = -3*x**3 - 2*x - 1. Let h be y(-2). What is the common denominator of -139/6 and (-38)/(-27) - 6/h?
54
Suppose -73 - 127 = -10*w. Calculate the common denominator of w/6*(-75)/(-10) and -28/9.
9
Let x = -348 - 139. Let y = x + 1907/4. Find the common denominator of y and (-21)/18*55/(-35).
12
Suppose 15 = 3*v - 3*c, -v = v + 2*c + 10. Suppose -5*y + 118 + 62 = v. What is the least common multiple of 8 and y?
72
Let a(x) be the second derivative of -x**4/12 - 3*x**3 - 17*x**2/2 + 32*x. Calculate the least common multiple of 11 and a(-16).
165
Suppose -17*p + 23*p = 0. Suppose 6 = d + y, 0*d - d - 4*y + 12 = p. What is the least common multiple of 6 and d?
12
Let n(d) = 44*d - 2. Let y be n(1). Suppose -3*k = -6*k + y. Suppose k*w - 6*w = 48. Calculate the smallest common multiple of 30 and w.
30
Let o = -15153 - -6425. Let c = o + 52519/6. Find the common denominator of c and (-1484)/160 + (-4)/(-10).
24
Let k(o) = o**2 + 11*o + 11. Let y be k(-10). What is the lowest common multiple of 6/((y - -2) + 8/(-3)) and 8?
72
Suppose 7*h = -5*l + 12*h + 22650, -18144 = -4*l - 2*h. Let d = l + -90789/20. Calculate the common denominator of d and 89/50.
100
Let b = -1/4877 + -180437/58524. Let d = 74/13 - 1684/273. What is the common denominator of b and d?
84
What is the common denominator of -69/14 and ((32/(-104))/2)/(8/(-122))?
182
Let b(d) = -28*d - 359. Calculate the smallest common multiple of 141 and b(-14).
1551
Let h be (3*-291)/((-3)/873). Let l = -1535089/6 + h. Let a = -1813 - l. Find the common denominator of 29/7 and a.
42
Suppose 4*i = 4*c - 12, -2*i - 5*c - 6 = -28. What is the smallest common multiple of i and (-12)/(1/(-1)*1)?
12
Let y = -299411/10996778 + 2/8999. Calculate the common denominator of y and -91/16.
9776
Suppose 0*q - 3*q + 817 = -4*i, 2*i = -2*q + 526. What is the lowest common multiple of q and 27?
2403
Let k = -519 + 629. What is the lowest common multiple of k and 20?
220
Let f = -9 + 9. Suppose 60 = 5*x - f*x. Suppose x = 2*w + w. What is the smallest common multiple of 5 and w?
20
Calculate the least common multiple of 3*12/10*10/18 and (1/2)/((-3)/(-18)).
6
Let f = -899/70 + 85/7. Let o = 91/2 - 59. Find the common denominator of f and o.
10
Calculate the common denominator of -4 + 1261/156 - (-2 + -5) and 27/8.
24
Suppose 3*d = -2*u + 248 - 28, 286 = 4*d - u. What is the lowest common multiple of d and 54?
216
Let l = 216297/14 + -15443. Find the common denominator of l and -11/1874.
13118
Suppose -5 = 2*t + g + 1, 0 = 2*t - 5*g - 18. Let n = 4 + t. Calculate the smallest common multiple of n and 33.
33
Suppose 5*a + 831 = 2*m - 5*m, 3*m - a + 813 = 0. Find the common denominator of -34 and (128/18)/(m/(-48)).
51
Suppose 2*i - 21 = 27. Suppose 8*a = 4*a + i. Calculate the least common multiple of 30 and a.
30
Let f = -84503/48 - -1759. Find the common denominator of 73/40 and f.
240
Suppose -17893 + 5583 = -10*t. What is the lowest common multiple of 6 and t?
7386
Suppose -11*d = -13*d + 10, -3*q - 3*d + 195 = 0. What is the smallest common multiple of q and 210?
420
Suppose 0 = 2*t - 2*i - 48, 3*i - 31 = -4*t + 37. Suppose 5*d - 20 = t. Let m(p) = -p + 3. What is the least common multiple of d and m(-3)?
24
Suppose 3*s - 21 = -45. Calculate the common denominator of ((-36)/s + -4)*(-29)/(-8) and -31*(-1)/(-16) + -2.
16
Calculate the common denominator of -13/42 and 250/375 + (550/372)/(-1).
1302
What is the common denominator of (-7)/70 + 2598/(-2520) and 1/10?
420
Let s(d) = d**2 - 14*d + 12. Let l be s(14). What is the least common multiple of 18 and (-55)/(-3) - l/36?
18
Let v = -262337/738644 - 1/9719. What is the common denominator of -27/38 and v?
76
Let q = 3 + 1. Suppose l + 2*l + 3 = -s, -q*s - 5*l + 16 = 0. What is the least common multiple of s and 8 - 4/(-2 - -4)?
18
Let y = 19 + -16. Suppose 6 = y*t + 3*d, 1 - 4 = d. Suppose -f - 5*i = -4*i + 2, 0 = t*f + 2*i - 5. Calculate the lowest common multiple of f and 5.
15
Suppose 107 = t + 65. Calculate the smallest common multiple of t and 60.
420
Let q(i) = -i**3 - 7*i**2 + 6*i - 8. Let k be 50/6 + -1 + 15/(-45). Suppose -8*f + k*f = -10. What is the least common multiple of f and q(-8)?
40
Let l be 33/18*(-6)/(-1). Find the common denominator of (-50)/l + (13 - 11) and 95/4.
44
Suppose 12 = v - 4*s, -4*v = -0*s + s + 20. What is the smallest common multiple of 6 and (-6)/(6/v*2)?
6
Let s(l) = l**2 - 5*l + 7. Let w be s(3). Suppose 4*i = 6*d - d - 82, d + w = -5*i. What is the smallest common multiple of d and (-2 + 1)/(1/(-18))?
126
Suppose -5*y = -0*y - 150. What is the lowest common multiple of y and 76/(-19)*(-27)/6?
90
Suppose 0 = 2*a + 4 + 4, -5*k + 4*a = -26. Suppose 0 = 2*d + 8, d = -k*z - 0*d + 12. What is the smallest common multiple of z and 6?
24
Let r be ((-12)/(-18))/((-1)/(-21)). Let n be (-1)/2 + 119/r. Suppose n*y = 4*y + 4. What is the lowest common multiple of y and 37?
37
Let h = -10 + 17. Suppose 4*g = -5*u + 135