on multiple of v and 2.
2392
Let a = -270650489127008804/18609888016013 + 145/8044040638. Let d = -36252/661 + a. Let m = d - -14592. What is the common denominator of 29/20 and m?
140
Let w = -142 + 128. Calculate the common denominator of -83/20 and w/(-12) - (-8)/2.
60
Suppose -43*i - 90 = -37*i. Let y(f) = f**3 + 12*f**2 - 45*f + 16. Calculate the smallest common multiple of 16 and y(i).
16
Find the common denominator of 61/364 and (-2)/(0 + -22) - 42898/(-712712).
364
Let p = 42 - -172. Let x = p - 211. Let n(k) = 3*k**2 - 6*k + 6. What is the least common multiple of n(4) and x?
30
Calculate the common denominator of 85/596 and (201/4)/(456/38).
2384
Let k = -2632439/77 - -34187. Let l = -132575/308 - -1723/4. What is the common denominator of k and l?
77
Let y be 5 - (7 - 25662/684). Let p = -393/19 + y. What is the common denominator of p and -29/10?
30
Let s = -4 + 14. Suppose w + 16*r - 121 = 17*r, -4*r = 5*w - 551. What is the lowest common multiple of w and s?
230
Suppose 2*v + 80 = 6*v. Let f(a) = a. Suppose 30 = 71*n - 66*n. Calculate the least common multiple of f(n) and v.
60
Let c(k) = 2*k - 11. Suppose -s - 4*s - 5 = 0, 4*a + 224 = -4*s. Let u = -48 - a. What is the smallest common multiple of 3 and c(u)?
3
Let f = -82 - -147. Calculate the least common multiple of f and 4/30 - (6 - (-1924)/(-195)).
260
Let b = -406907/210 - -5813/3. Find the common denominator of 97/112 and b.
560
Let r = -415966/75 + 5547. Calculate the common denominator of 8/225 and r.
225
Suppose 0 = -5*i - 0*i + 10. Suppose -4*r - 4*w + 112 = 0, r + 28 = 2*r + i*w. What is the common denominator of -4/9 and 2/(r/(-11)) - 3/6?
63
Let i(c) be the third derivative of 2*c**5/15 + 2*c**3 - 17*c**2. Let o be i(-4). What is the common denominator of (-54)/o - (-20)/70 and -11/10?
10
Suppose 2*g + 5*t = 0, 47*t - 50*t = 2*g - 8. Calculate the least common multiple of g and 1670.
1670
Let x = -191317/32 - -5978. What is the common denominator of x and -19 + 8 - 340/(-22)?
352
Let y = 4667/42 - 328/3. Let d = -396031/32 - -12378. What is the common denominator of y and d?
224
Let o = -142689 - -19976553/140. Find the common denominator of 149/1540 and o.
1540
Suppose 3*y = y + 22. Let a(d) = d**3 - 10*d**2 + 15*d + 19. Calculate the smallest common multiple of y and a(8).
11
Let m = 344 - 335. Let h be 1/(-5) + (-20)/25. What is the smallest common multiple of (h/(-3))/((-1)/(-9)) and m?
9
Let w = -38 + 49. Suppose 0 = -2*d + 5*i + 7, -2*d = w*i - 15*i - 6. Suppose 26 + 0 = 2*g. Calculate the least common multiple of g and d.
13
Suppose -4*n - 4*x - 324 = 0, -x = -2 + 3. What is the least common multiple of 300 and (11/22)/((-2)/n) - 4?
1200
Calculate the common denominator of -70/9 and ((-50)/(-300))/(91/309).
1638
Suppose 47 = 5*j + 7. Calculate the smallest common multiple of j and 5/(-75)*2 - (-3752)/15.
1000
Let c = 2144 - 8631/4. What is the common denominator of c and -17/1107?
4428
Suppose 4*i + 3*k + k = -192, 5*k - 124 = 2*i. Calculate the common denominator of 49/(-5) + 2/4 and (i/(-5))/((-138)/(-115)).
30
Suppose 0 = -2*v - t - 0*t + 7, -12 = 3*v - 3*t. Suppose -5 = -4*x - v. Calculate the lowest common multiple of 32 and -3*x*(-8)/3.
32
Let b be (-1 + 135/96)/(9/(-60)). Let w = b + 463/264. Let d = 9741 + -214339/22. Calculate the common denominator of d and w.
22
What is the common denominator of (3*2/36)/(216/(-26892)) and -69/20768?
20768
Let i = -660 - -670. Suppose i*a = -7*a + 170. What is the least common multiple of a and 58?
290
Let o(v) = -v**3 - 16*v**2 + 24*v + 48. Let u(l) = 4*l**3 - 13*l**2 - 6*l + 9. Let b be u(3). Calculate the least common multiple of o(b) and 4.
264
Suppose -m + 38 = 3*w, m + 497*w - 43 = 493*w. Calculate the lowest common multiple of m and 124.
2852
Let x = 6823/2368 - 112873189/39221184. Calculate the common denominator of x and 23/14.
231882
Suppose -4*y + 4938 = 5*a, 3*y + 2*a - 2468 = y. Calculate the lowest common multiple of y and 4.
1232
Find the common denominator of -52/963 and ((-12)/14)/(4*23/(-5313)).
1926
Suppose 0 = -0*t - 4*t. Suppose -w - 3*w + 180 = t. Calculate the common denominator of ((-56)/78)/((-49)/(-63) - 1) and w.
13
Suppose -91*x + 15 = -92*x. What is the common denominator of 36/x*(-16)/36 and -48/25?
75
Let t = 2325/16 - 244537/1680. Find the common denominator of -23/180 and t.
1260
Suppose 6*o = 2*m + o + 128, 3*m = -5*o - 217. What is the common denominator of (-4)/(4/2) - (-920)/m and -50/27?
27
Suppose l - 2*o = 762, -2525 = -4*l + 2*o + 559. What is the smallest common multiple of 430 and l?
3870
Let k(r) = -r. Let h be k(9). What is the common denominator of (6111/70)/h*(-5)/4 and -4 - ((-1490)/518 - (-16)/(-56))?
296
Let m = 37755685/798 + -47313. What is the common denominator of 80/627 and m?
8778
Suppose -10*j + 14*j = -40. Calculate the lowest common multiple of 77 and (-11 + j)/((-3)/4).
308
What is the common denominator of (3 - 4)/((-41)/(-43) + -1) and (-4)/34 - 5298/40800?
400
Let c = -22/1447 - 36734/629445. What is the common denominator of c and (-152)/33 - 3/(-9)?
4785
Calculate the common denominator of 91/8438 and 1/(1214/130 + 153/(-17)).
92818
Suppose r = 4*r - 75. Let a = -3 - -19. Suppose -5*d = -9*d - 3*x + a, -4*x + 12 = -4*d. What is the smallest common multiple of r and d?
25
Suppose 54 - 64 = 5*q. Let n be -6*(-2)/(-3)*-1 + q. Suppose 5*g + 3*t - 82 = 0, -4*g + n*t - 3*t = -60. Calculate the smallest common multiple of g and 10.
70
Let n = -3816089677/1620 - -2355611. What is the common denominator of n and 59/36?
1620
Suppose -4*v + 6*s = -15676, 5*v - 2*s - 2619 - 16965 = 0. What is the smallest common multiple of 40 and v?
39160
Let q be (-2)/(-3) - (2472/(-9))/(-4). Let b = q - -124. Calculate the lowest common multiple of 24 and b.
168
Let r(z) = 3*z**3 - 6*z**2 + 3*z - 10. Calculate the least common multiple of r(6) and 140.
3080
Let h(c) = 7*c**3 - 9*c**2 - 69*c + 295. What is the least common multiple of 2944 and h(9)?
32384
Let u = -3564 - -178147/50. Calculate the common denominator of u and -5/2.
50
Suppose -5*n - 2*j + 395 - 373 = 0, -2 = 3*n + 5*j. Calculate the least common multiple of 324 and n.
324
Let m = -6119291221/3717630 - -2173148/1323. Let z = -111/281 - m. Find the common denominator of z and 11/5.
30
Suppose -5*r = -4*u + 3 - 1, 2*r = -2*u + 10. Let l = -10828 - -10835. Calculate the smallest common multiple of r/(1 + 1) - -2 and l.
21
Let q = -5382 - -5386. What is the lowest common multiple of q and 646?
1292
Let q = -7331809 - -1017246. Let k = 132451819/21 + q. Let s = k + 7335. Calculate the common denominator of 53/33 and s.
231
Let s = -4445 + 239969/54. Find the common denominator of ((-72)/(-42))/((-2)/6) and s.
378
Let c = 10835/508 - 10/127. What is the common denominator of c and -33/28?
28
Suppose 8*b - 35916 = -23*b - 42*b. What is the least common multiple of 44 and b?
5412
Calculate the least common multiple of (24/5)/(583/110 + -5) and 1064.
2128
What is the common denominator of -89/10 and 132/(-77)*2/15?
70
Let h = -3/13930 + 449262/90545. Let u = h + -1541/156. Find the common denominator of u and -35/22.
132
Let y be (-1 - (-10660)/(-318))*2/(-16). Let w = y - 200/53. Calculate the common denominator of 32/21 and w.
168
Suppose 13459 = -18*t - 14477. Calculate the common denominator of 63/10 and 1 + t/180 + 4/10.
90
Let i = -82 + 122. Suppose 0 = -93*t - 104*t + 11*t + 2790. What is the smallest common multiple of t and i?
120
Let h be (-2)/13 - (-2546)/494. Suppose h*v - 2 = 8. Calculate the least common multiple of 8 and v.
8
Let g = 1153954/32487 + -1814/51. What is the common denominator of g and -37/13?
1911
What is the common denominator of 15050/2340 + -12 + 5 and -50/11?
2574
Let q(k) = -k**2 - 30*k - 7. Let a be (6 + -9 + 2)*29*1. What is the lowest common multiple of 6 and q(a)?
66
Suppose -j + 2*z = 3*z - 8, -4*j + 5*z = 13. Suppose -2 + 11 = j*y, d = y + 13. What is the smallest common multiple of d and -12 - -16 - 2/1?
16
Suppose 0 = -1171*k + 1117*k + 11124. Calculate the lowest common multiple of k and 61.
12566
Calculate the common denominator of (3/(-80))/(72504/49184) and -17/60.
1140
Let c(p) = -132704*p**2 + 3*p + 9. Let x be c(-2). Let q = x + 375815711/708. What is the common denomin