is the common denominator of (-34 + 0)*18/f + -1 and (-1)/4 + 495/(-12)?
26
Let k(x) = 30*x + 18. Let b be k(-5). Let a = b + 145. Suppose -12 = -3*g + 5*o - 0, 0 = -3*o. Calculate the lowest common multiple of g and a.
52
Suppose -562*q + 22852 + 837008 = 0. Calculate the smallest common multiple of q and 1020.
3060
Let x = 25/451 - -3891/4510. What is the common denominator of -227/2730 and x?
30030
Let l = -15841/312 + 152/3. Calculate the common denominator of -79/22 and l.
1144
Let l = -22 + 36. Let d = l - 18. Calculate the smallest common multiple of 22 and 1/(d/4) - -17.
176
Let y = 23 + -22. What is the common denominator of 44 - (y*-8)/4 and ((-24)/140)/((-6)/(-20))?
7
Let r = 447 + -469. What is the common denominator of (44/(-21))/((-1)/(-2)) and r/26 - -1 - (-100372)/(-7176)?
42
Let z(i) = 6*i + 100. Let u be z(-16). Suppose 0*v - 65 = -u*p + 5*v, -5*v = 25. Calculate the smallest common multiple of p and 11.
110
Let g(m) = 32*m**2 - 9*m - 13. Let d(q) = q**3 - 10*q**2 + 2*q - 8. What is the lowest common multiple of g(-1) and d(10)?
84
Let p(y) = 11*y + 34. Let v = 55 - 30. What is the least common multiple of v and p(-3)?
25
Let c = 783975077/1082 + -724561. Calculate the common denominator of c and -16/4869.
9738
Let b(v) = v**2 + 108*v - 208. What is the lowest common multiple of 1458 and b(-110)?
2916
Let f = -17/10 + 1/5. Let h = -149 - -152. Find the common denominator of f and (-53)/222*2*h/(-6).
222
Let r = 91 - 35. Let p = r + -52. Suppose 5*o + 0*o = p*d - 40, 2*o = -8. What is the smallest common multiple of 1 and d?
5
Let l = -1/18925 + 1684391/1249050. What is the common denominator of ((-45225)/297)/25 - (-7)/1 and l?
66
Suppose 3*p = -5*b - 6 + 4, 5*p + 24 = 2*b. Find the common denominator of 10/p*(68/10 + 1) and -38/11.
22
Calculate the common denominator of (2*4/(-48))/((-26)/2301) and -13/1692.
1692
Let s(q) = -q**2 - 29*q + 3. Let w be s(-29). Suppose w*p + 55 = 4*g + 8, 5*g = -4*p + 20. What is the smallest common multiple of 22 and g?
88
Let o = -2813/168 + 477/28. Calculate the common denominator of -137/312 and o.
312
Let f = -11144 - -11518. What is the smallest common multiple of f and 340?
3740
Suppose -133920 = 121*y - 547377. What is the lowest common multiple of 2010 and y?
34170
Suppose -1089 + 3469 = 17*q. Calculate the smallest common multiple of 4 and q.
140
Let k = -3574 - -3607. Calculate the lowest common multiple of 748 and k.
2244
Let s = 10729/36 - 298. Let l = 4805 + -57667/12. Calculate the common denominator of s and l.
36
Let f(h) be the second derivative of -11*h**4/4 - h**3/6 - 3*h**2/2 + 11*h. Let p be f(-1). Let x = 37 + p. What is the lowest common multiple of x and 14?
14
Let x = 3015 + -18131/6. Let g be (-28)/287*121/(-4). Let p = 6049/1230 - g. Calculate the common denominator of p and x.
30
Let b = -407089/120 - -33939/10. Find the common denominator of (-4788)/147*2/(-160)*2 and b.
840
Let c be (-24)/(-228) + (-543872)/5164257. Let m = 179341/232974 - c. What is the common denominator of -77/54 and m?
378
Let i = -2/192289 + -31342987/11537340. Find the common denominator of (219/30 - 30/4)/((-12)/(-1250)) and i.
60
Let m = 124183/30 - 4136. Let s = -274/13 + 12273/520. Calculate the common denominator of m and s.
120
Let m(c) = -2*c**2 - 11*c + 187. What is the smallest common multiple of (-8 - (-3)/6*2)/(-1) and m(7)?
84
Find the common denominator of 11 - (-205)/(-360) - 12 and -67/144.
144
Suppose -2*g + 46*d - 49*d + 533 = 0, g - 269 = d. What is the least common multiple of 120 and g?
8040
Let c(z) = -127*z + 686. Let q be c(9). Let d be 2/18*16014/(-4). Let k = q - d. What is the common denominator of k and -15/16?
48
Suppose -9 = -5*a + 3*d, 3*a + 3655*d - 3653*d - 13 = 0. What is the lowest common multiple of 2139 and a?
2139
Let y = 561318/7 - 80359. Let d = 6147176/9 + -215203906/315. Let p = d - y. What is the common denominator of -8/21 and p?
105
Calculate the common denominator of 8 - (-710649)/(-93240) - (-2)/(-15)*3 and 101/18.
18648
Let y = 16336937/136 + -120124. What is the common denominator of -70/153 and y?
1224
Suppose 0 = -19*s - 12*s + 1575048. Let c = 3302456/65 - s. Calculate the common denominator of c and 3/11.
715
Let r = 28481/340327 - 22/557. Calculate the common denominator of -5/376 and r.
4888
Let s = 7809 + -163922/21. Calculate the common denominator of s and 41/267.
1869
Let h(f) = 5*f**3 - 48*f**2 - 9*f - 37. What is the lowest common multiple of 2133 and h(11)?
2133
Let c = -396 + 422. Find the common denominator of -25/166 and c/(-4) - (-16)/(-40).
830
Let p = 2107/828 + -132/23. Let f = -1763994008180021/98088 + 17983790154. Let i = 2/4087 - f. Find the common denominator of p and i.
72
Let d(g) = g**3 - 22*g**2 + 15*g + 398. What is the least common multiple of 2184 and d(22)?
2184
Let v = -21244 - -21314. What is the smallest common multiple of v and 100?
700
Let z = -483 - -267. Let f = -181 - z. Calculate the lowest common multiple of 28 and f.
140
Let m(x) = 10*x**2 - 12*x - 172. Calculate the lowest common multiple of m(10) and 8.
1416
Let s be -4*((-4)/(-6))/((-20)/15). Calculate the common denominator of (((-50)/285)/(-1))/(s/(-7)) and -65/3.
57
Let c be -2*(2 - 3) + (-1)/(-1). Suppose -2*o - 5 = -a + c*o, 2*a - o = 10. Calculate the common denominator of -86*(a/(-1))/20 and 87/2.
2
Suppose 2*h - 45 = -5*y + 30, 2*h - 3*y = 99. Let w(r) = r**3 + 4*r**2 - 6*r + 6. What is the lowest common multiple of w(-4) and h?
90
Let x = 385371/22 + -17514. What is the common denominator of x and -157/66?
66
Suppose 1155 = 3*t + 5*t - t. What is the lowest common multiple of t and 105?
1155
Let g = 90 - 400. Calculate the least common multiple of ((-54)/10)/(93/g) and 24.
72
Suppose -4*i + 111 = -53. Let q be (1 - 39)/((-6)/9). Let x = q - i. Calculate the smallest common multiple of x and 36.
144
Let m = 71021 - 13636067/192. Calculate the common denominator of 71/144 and m.
576
Calculate the common denominator of 4160/(-960)*((-875)/(-872) - 1) and -15/436.
872
Find the common denominator of -39/500 and ((-10160)/4000)/(-1 + 2 - 36).
3500
Let p(b) = -b**3 + b + 4. Suppose -8*x = -2*x. Let l be p(x). Calculate the common denominator of 89/4 and (8/9)/(l/(-78)).
12
Let a be 9/(-4) + (-12)/16. Let b = 3 - a. Calculate the least common multiple of 1 and (-2)/b - (-889)/21.
42
Let p = -3212 + 4213. What is the lowest common multiple of p and 1144?
8008
Let k(y) be the second derivative of -y**4/6 + 23*y**3/6 - 48*y**2 - 104*y. Calculate the common denominator of k(8) and ((-2)/18)/((-2)/(-74)).
9
Let d = -216/7 + 1539/56. What is the common denominator of 45/1792 and d?
1792
Let x = 49 - 22. Let i(v) = 17*v**2 - 10*v + 15. Calculate the smallest common multiple of i(2) and x.
189
Let r be (5 - -2)/((-3)/(-27)). Let k be r/18*(-20)/(-7). Suppose k*z = 14*z - 48. Calculate the lowest common multiple of 22 and z.
132
Suppose -35*d - 240 = 9*d - 1824. Calculate the least common multiple of 396 and d.
396
Suppose -85*m + 84*m = -87. Calculate the smallest common multiple of m and 10.
870
Let m = -992306515703/7423728 + 433/190352. Let r = m - -133674. Let z = r - 701/26. Calculate the common denominator of z and 36/13.
78
Let r be 0*(-3)/(-6) - (5 + 16026). Let s = 705431/44 + r. Calculate the common denominator of s and 43/136.
1496
Let r be (-27474594)/343*(-2)/32. Let s = 5006 - r. What is the common denominator of 67/48 and s?
336
Let n(c) = -2*c**3 - 6*c**2 + 10*c + 2. What is the least common multiple of -1 + (-201)/(-9) - (-196)/294 and n(-7)?
3564
What is the common denominator of (2/15)/((-2)/31*(-8)/(-16)) and -43/1890?
1890
Suppose 22888*p - 40656 = 22877*p. What is the smallest common multiple of 1386 and p?
11088
What is the common denominator of ((-216)/28)/((800/(-210))/(-10)) and -97/110?
220
Suppose -u + 3*r + 36 = 3*u, 3*u - 4*r = 20. Let z(b) = b**2 - 9*b - 2. Let i = -1789 + 1800. Calculate the smallest common multiple of z(u) and i.
374
Let x(z) = 5*z**3 + z. Let d be x(1). Let r be (-16)/7*-1 - d/21. Calculate the common denominator of -79/15 and 95/(-14) + (1/r)/(-1).
105
Find the common denominator of -41/260 and (-15084)/1755 + (23 - 14).
780
What is the smallest common multiple of 2975 and (-20)/(-110) - (-22428)/66?