-6849/3640. Calculate the common denominator of p and 11/2.
8
Suppose 0 = -20*s + 3*g + 212, 207*s = 212*s - 5*g - 70. Calculate the lowest common multiple of (198 - (1 + -2)) + 1 and s.
200
Let x = -839/16 - -1115/16. Let a = 1/4683 - 229483/74928. Calculate the common denominator of x and a.
16
Suppose 754 = 67*w + 51*w - 1606. Calculate the smallest common multiple of w and 1384.
6920
Let k = -99383561/10 + 9930386. Let i = 7977 + k. Calculate the common denominator of i and 31/2.
10
Let l = -867305/24 + 36144. Find the common denominator of l and 65/303.
2424
Let r be 2/1*7/(28/198). Calculate the common denominator of -43/60 and 22/r + 42/5400.
300
Let p(o) = o**3 - 60*o**2 - 465*o + 128. What is the lowest common multiple of p(67) and 176?
1584
Let f = 6134/1126063433033 - -1619359828182649693711/3999203021782369170. Let u = -1/2762270 + f. Let x = 2780/7 - u. Find the common denominator of 73/3 and x.
9
Let v be (-2)/(-6) - (-26)/(-6). Let l(j) = -4*j - 39. Calculate the least common multiple of l(-15) and v/(-10) - (-528)/80.
21
Let d(w) = -330*w + 8030. What is the lowest common multiple of d(20) and 20?
2860
Let q = 5583/14 + -399. Find the common denominator of 149/582 and q.
4074
Let k(l) = 17*l + 13. Let j be k(-1). Calculate the lowest common multiple of 1000/160 + 1/j and 16.
48
Suppose 46*u = 12*u - 816. Calculate the common denominator of 6/u*(-372)/2202 and -61/6.
2202
Let g = 117 - 156. Let w = g + -241. Calculate the common denominator of w/(-12)*1/(-4) - 1 and 131/48.
48
Let b = -33096/11 + 9001265/2992. Find the common denominator of -10/17 and b.
272
Let d = 19 - 7. Calculate the lowest common multiple of (-16)/20*(-20 - 3025/22) and d.
252
Let q(f) = -3*f + 43. Let m be q(15). Let l(h) = 24*h + 49. What is the smallest common multiple of 27 and l(m)?
27
Suppose 674 = -16*b - 46. Calculate the common denominator of -91/68 and (-9)/(-12)*2/(54/b).
68
Let i = -1250 - -342. Let y = i - -1920. Let j = -6085/6 + y. What is the common denominator of -8/11 and j?
66
Let y(j) = -j**3 - 63*j**2 - 92*j + 1860. Let n(u) = -3*u**3 + 2*u**2 + 2*u - 1. Suppose v + 2*v = -6. Calculate the least common multiple of n(v) and y(-61).
270
Let t be 2/(-14) - (-434)/(-49). What is the common denominator of -2 - (6 - (-1)/((-376)/2906)) and (-3)/t - 362/60?
940
Let k(h) = 3*h**2 + 4*h + 3. Let r be 6/9 + 307/3. Let z = 121 - r. What is the least common multiple of z and k(-2)?
126
Suppose 3*f + 5*n = 45, 0 = n + 36 - 33. Calculate the lowest common multiple of f and 492.
2460
Suppose 0 = 20*j - 7 - 553. Let z = 3533 - 3505. What is the smallest common multiple of j and z?
28
Let m = 876/19 + -7120/133. What is the common denominator of m and (17*(-1548)/(-3060))/(12/(-15)*5)?
140
Find the common denominator of (31*5/(-25))/(16/(-8) - 6) and -27/2120.
2120
Let v(l) be the first derivative of l**3/3 + 3*l**2/2 - 6*l - 2. Let k = -1077 + 1079. Calculate the lowest common multiple of k and v(-5).
4
Let g = 1543 + -607. What is the lowest common multiple of 520 and g?
4680
Suppose 6*v - 5*v = 1. Suppose -14 = -4*r + 2*p, 3*r = -4*p + v - 7. Find the common denominator of -67*r*3/108 and -47/22.
198
Let q = 30 + -9. Let c(w) = -106*w + 118. What is the lowest common multiple of q and c(1)?
84
Let i = -1206599/51 - -23658. Calculate the common denominator of i and (0 - -1) + 10/(80/188).
102
Let t = 17918 - 1236283/69. Find the common denominator of t and 7/(-2079)*1563 + (-2)/11.
207
Let v be -3 + -1 - (-16374)/180*2. Let o = -43429/240 + v. What is the common denominator of 95/36 and o?
144
Let w = 1933 + -11645/6. Calculate the common denominator of 1/4 - 45/(-24) and w.
24
Let i(w) = -w**3 - 4*w**2 - 3*w + 405. Calculate the least common multiple of i(0) and 765.
6885
Suppose 8 + 8 = -2*a. Let s be (2/(-3))/(4/36). What is the least common multiple of 6 and 12 + (-3)/s + 4/a?
12
Let i = -6/7945 + 405567/492590. What is the common denominator of (-230)/(-24) - (-2)/(-6) and i?
124
Suppose 15*t = -6*t + 8*t + 9464. What is the lowest common multiple of 336 and t?
4368
Suppose -35 = -17*z - 392. What is the smallest common multiple of 14 and 1 - ((-4)/3 - (-455)/z)?
168
Let g = -311443/95022 - 1/5279. What is the common denominator of g and -3/3992?
35928
Suppose 142*h - 140*h - 2 = 0. What is the common denominator of 109/10 and (106/(-1484))/(h/(-78)*1)?
70
Suppose 131 = -23*p - 30. Calculate the smallest common multiple of 49 and (p + (0 - -12))*(1 - 0).
245
Let q be (-75863)/37932 - (17 + -19). Let d = q - 204413/63220. Calculate the common denominator of d and 17/35.
210
Let n(q) = -2968*q**3 + q - 1. Let c be n(1). Let p be c/(-126)*3/2. Let b = p + -955/27. What is the common denominator of -3/5 and b?
135
Let d = -276447/8 + 34548. Calculate the common denominator of d and 54/(-16)*(-6)/(-77).
616
Suppose 0 = -o + m - 5, -3 = 4*o - m + 11. Let l = 1151 + -1147. What is the least common multiple of (l/(-12))/(1/o) and 21?
21
Let v = -74 - -78. Suppose 0 = g + 2*w + 1, -v*g - 2*w - 4 = 0. Find the common denominator of g*(-6)/(-44)*(-21)/(-7) and 67/40.
440
Let w = 10 + 0. Suppose -w - 94 = -8*r. Let t = 21 - r. What is the smallest common multiple of 10 and t?
40
Let g = 17179067/68 - 252627. Let s = 3/34 - g. Find the common denominator of s and 31/24.
24
Let a(u) = -u**2 + 19*u - 10. Let t be a(18). Suppose -2*l + 86 = -5*f, 5*f = 7*l - t*l + 28. Calculate the least common multiple of l and 4.
76
Let s(c) = 2354*c + 2. Suppose 0 = -3*d + 9, -3*x - 5*d + 0*d = -9. Let k be s(x). Let v = -18917/4 - k. What is the common denominator of 9/22 and v?
44
Suppose 2*u - 52 = -3*r, 68 + 16 = 5*r + 2*u. Let i = -4776 - -76353/16. Calculate the common denominator of ((-2)/r)/(35/970) and i.
112
Let r(q) = -q**3 + 10*q**2 - 20*q + 5. Let p be r(7). Suppose 16*c + 324 = p*c. Find the common denominator of -119/10 and (c/(-24) + 2)*(-6)/(-12).
80
Suppose 4*w = 3*w - 5*y + 12, 2*y = 2*w. Suppose -4*o - 100 = 7*x - w*x, -5*x - 70 = 3*o. Calculate the smallest common multiple of -3*((-20)/21 - o/105) and 1.
2
What is the common denominator of (1 + 4250/(-4248))/((-1130)/(-64749)) and -79/826?
49560
Suppose 25*o + 6*o = 18*o + 2574. Calculate the smallest common multiple of o and 20.
1980
Let m = 7024 + -6936. Suppose -11 = -3*z + 7. Calculate the least common multiple of m and z.
264
Let s = 112/2451 - 230365/803928. Find the common denominator of s and -59/80.
3280
Suppose 2*p = -8*w + 3*w, 5*p + 23 = -w. Let f be (-10)/(-15)*-3 + -2. Calculate the least common multiple of ((-8)/w)/(f - -3) and 9.
36
Let r be (-2 - (0 + 0))/(2 - 4). What is the least common multiple of (r + -15)*105/(-147) and 98?
490
Let k(d) = -d**2 - 10*d + 69. Let g be k(5). Calculate the common denominator of 518/12 - -5 - g/(-9) and 10/41.
82
Calculate the common denominator of (-1190)/91200*-3 + (-1)/10 and -5/1444.
11552
Let l = 165057691/210270 + -168611/215. Let s = l + -3/326. Find the common denominator of s and 63/95.
285
Let z(s) be the second derivative of s**4/6 - s**3/3 + 37*s**2/2 + s - 48. What is the smallest common multiple of 10 and z(0)?
370
Let j = 43101/13070 - -3/1307. Let g = 3351/5 - 60443/90. Find the common denominator of j and g.
90
Let w be (-2)/11114*11113 - -2. Let b = -483455/22228 - w. Let x = 93437/4 + -23351. Find the common denominator of b and x.
4
Let y = 32 + 11. Let l = y + -25. Calculate the common denominator of 56/5 and (4/25)/(2 + l/(-8)).
25
Suppose 5*c - 12 - 7 = -r, -1 = c. Let z = r + -12. Let y(u) = -u**2 + 8*u + 10. What is the common denominator of y(z) and -41/9?
9
Let r be 13763 - 1/(7/21). Let m = r + -481664/35. What is the common denominator of 37/50 and m?
350
Let u be 3 - ((-6269)/6 + 21/42). Let p = -1034 + u. Find the common denominator of -49/11 and p.
33
Suppose r = 3 + 11. Let o = 19 - r. Suppose 14 = 39*h - 25*h. What is the smallest common multiple of o and h?
5
Let j = -273881/4283730 + 45/4327. Calculate the common denominator of 97/450 and j.
4950
Let v be 6/21*235046/(-24). Let i = v + 2774. Let z = -710/3 + 232. Calculate the common denominator of i and z.
6
Let h = -622500737/46 + 13528539. Let z = h + 4087. What is the common denominator of z and 67/12?
276
Let y = -626730 + 20682028/33. What is the common denom