 Find the common denominator of u/k*(-10)/40 and 61/2.
14
Suppose -6*y + 4560 = 2*u, -5*y - 5*u = -1417 - 2383. Calculate the least common multiple of 56 and y.
5320
Let a = -7976 - -350945/44. Calculate the common denominator of (-146)/12*51/(-272) and a.
352
Let b(z) = -3*z - 3. Let i = -39 - -61. Suppose -u + 759 = i*u. What is the least common multiple of b(-4) and u?
99
Let d = -1019653607/22 + 46355805. Let k = 7918 - d. Let n = 725/119 + -59/34. Find the common denominator of k and n.
154
Let j = 7/45 - 281/1710. Let b = -1379/1254 - j. Calculate the common denominator of b and (166/3320)/((-326)/(-324) - 1).
110
Let l(n) = 10*n + 61. Let t be l(-9). Let v(d) = -d**2 - 34*d - 7. Calculate the lowest common multiple of v(t) and 20.
1380
Let w = -58 - -61. Suppose -420 = w*t + 7*t. Calculate the common denominator of 65/44 and (-387)/12*(-7)/t.
88
Suppose 2*t = 2*f - 14, f - 4*t - 12 = 4. What is the common denominator of -41/7 and ((-63)/15)/(f*36/64)?
105
Suppose 1 = 5*u - 19. Suppose h - u*b = b - 39, -4 = -4*b. Find the common denominator of -119/10 and ((-27)/90)/(1/h).
10
Suppose 5*g + 4*a - 589 - 109 = 0, 3*g - 3*a = 381. Suppose -2*l = -6*l + 8. Calculate the least common multiple of g and l.
134
Let b(n) = -n**2 - 4*n + 7. Let f(k) be the second derivative of -k**3/6 - 8*k**2 - 15*k. Let y be f(-12). Calculate the least common multiple of 5 and b(y).
35
Let d = -36 - -57. Let c = 31 - d. Suppose 3*s = 5*r - 8, r + 0 = -s + 8. What is the smallest common multiple of c and s?
20
Let w = -303/550 + 25627/57200. What is the common denominator of 77/80 and w?
1040
Let g = 733/132 + 23/33. What is the common denominator of g and 24/2107?
8428
Let m = -21 + 23. Suppose 3 = 5*l - m. What is the lowest common multiple of (2 - -26)*(-4)/(-16) and l?
7
Suppose 5*o + 965 = u, -3*u - 175 - 2 = o. What is the least common multiple of 10 and o/(-18)*((-1 - 0) + 4)?
160
Let q = -1/10521 + -4026/5845. Let u = 2/861 + 91867/111930. Calculate the common denominator of q and u.
1170
Let c be 1/7 - (14 + (-158365)/9870). Let l = c - 1/47. What is the common denominator of l and 25/438?
438
Let k be 1/(-720)*8452/3. Let w = -119/20 - k. Find the common denominator of w and 119121/7434 + (-3)/2 - (2 - -9).
189
Let j = 4/81799 - 7285103/102085152. What is the common denominator of -45/416 and j?
1248
Let p be (-70)/4*67/279. Let x = p + 8/31. What is the common denominator of (-13 + 2893/220)/((-18)/(-584)) and x?
90
Let u be (0 + 2/(-4))*(-288340)/(-140). Let c be (35 + 2)/((-3)/84). Let k = u - c. Calculate the common denominator of -143/18 and k.
126
Let q = 10194 + -9378. Calculate the lowest common multiple of 152 and q.
15504
Let y(x) be the first derivative of -7*x**2 - 170*x + 83. Let b = 8 - 2. What is the lowest common multiple of y(-13) and b?
12
Let t = -20817/5 + 1749373/420. What is the common denominator of 55/98 and t?
588
Let k = -14022 - -56105/4. Find the common denominator of k and 40/3197.
12788
Let k = -34363/9 + 3161813/828. Calculate the common denominator of k and -103/230.
1380
What is the common denominator of -29/12 and (-7)/(3721/(-152) - (-60)/570)?
780
Suppose 2*x + 3*k = 3*x + 17, x + 15 = 2*k. What is the least common multiple of 4/(-10) + (-216)/(-15) and x/((-44)/(-16)) + 22?
126
Let j = 1/1005 + 12661/2010. Calculate the common denominator of ((-322)/105)/(38/(-10) + 5) and j.
90
Let w(i) = -22*i + 50. Let z be w(-8). Let n = z - 220. What is the lowest common multiple of n and 32?
96
Let r = -338 + 128. Let n(y) = -106*y + 99. Let w be n(1). What is the common denominator of -44/15 and (2/w)/(9/r)?
15
Let v = -49690 + 49834. Let k = 5 + 6. What is the least common multiple of k and v?
1584
Suppose -26*s + 284 = -24*s. Suppose -4*g + 5*j + s = 0, -3*j = 3*g - 0*j - 120. Calculate the least common multiple of (88/14)/(g/133) and 58.
638
Let k = -6 - -11. Suppose 0 = -2*o + k*o - 42. What is the lowest common multiple of 27/(-9) - (-5 + -24) and o?
182
Let j = 333 + -336. Calculate the common denominator of (-5)/j - 364/492 and -11.
41
Let v = 6409/36 + -2065/12. Let j be (135 - -7992) + 1*-2. Let o = j - 178831/22. Calculate the common denominator of o and v.
198
Let q(s) = 3*s**2 - 19*s + 37. Let f be q(2). Calculate the common denominator of 17/4 and 5/f*((-144)/30)/6.
44
Let w = -1186 - -1193. What is the least common multiple of 2/(4 + 84/(-15))*-48 and w?
420
What is the smallest common multiple of 123 and 48/(-30) - (-362834)/215?
69126
Let h = -1067/40 - -12143/460. Find the common denominator of -77/600 and h.
13800
Suppose 4 = 2*a, -5*t = -4*t + 5*a - 11. Calculate the lowest common multiple of (-24)/(-2) - (t + 3) and 86.
344
Suppose -3*z + 84 = 2*l, 5*z = l - 0*l + 127. Calculate the least common multiple of 6 and ((-13)/(z/48))/(-1).
24
Suppose -c + 27 = -93. Let a = -118 + c. Calculate the least common multiple of 8 and a.
8
Let v = 3819/37 + -1286773/12432. Calculate the common denominator of v and 23/108.
3024
Let x(l) = -5*l**3 + 49*l**2 + 10*l + 4. Let g be x(10). Let v be 6/(-5)*(-10)/2. What is the lowest common multiple of g + -5 + v - -3 and 1?
8
Suppose 0 = -26*b + 431 - 119. Suppose 2041 - 421 = b*u. What is the smallest common multiple of 11 and u?
1485
What is the least common multiple of (-25)/(-100)*-32 - (-5743 + 0) and 7?
40145
Suppose -5*w = 7 + 33. Let v be (-48)/(-10)*1120/(-168). What is the lowest common multiple of 1*w/(v/204) and 24?
408
Suppose -4*p = 4*a - 120, -a - 2*p + 18 = 2*p. Calculate the common denominator of (a/16)/(207/(-92)) and (-2 - (-71)/16)/(-4).
576
Let z = 14452 + -9632. Calculate the lowest common multiple of 50 and z.
24100
What is the common denominator of (-278)/(-9)*1/(-4) and (-1)/4*(-128)/368 - 1316/(-4968)?
54
Calculate the least common multiple of (-2937)/(-356) + (-1)/4 + 321 and 423.
2961
Let c = -28 - -26. Let a = 181/74 - -2/37. Calculate the common denominator of c/3*-63 - (0 + -1) and a.
2
Suppose x + 13735 - 13823 = 0. Calculate the lowest common multiple of 920 and x.
10120
What is the lowest common multiple of 14 and (-2)/18 - ((-119581)/63 + (-1 - 1))?
13300
Suppose -28*y + 108 = -24*y. Suppose 74 + 76 = 5*s. Calculate the least common multiple of y and s.
270
Calculate the common denominator of 73/759 and (-503)/(-48) - (251 + -241).
12144
Calculate the common denominator of (8/20)/(-13 - (-92590)/7150) and -115/594.
594
Let i(g) = -g + 8. Let y be i(-24). Let c = 27 - y. Find the common denominator of 1/c + 604/(-30) and 29/6.
6
Let h = -548 + 6551/12. Let r = -32/3 + 26. What is the common denominator of h and r?
12
Suppose -556 = 2*n + 5*q, 4*n + 1409 = q + 253. What is the common denominator of -19/6 and 29/(2552/n) - (-1)/1?
66
Let o = -323/11 + 926/33. What is the common denominator of (-502)/567 - 1/(-12 - (-39)/26) and o?
891
Let k = -4562 + 4564. What is the smallest common multiple of k and 7584?
7584
Suppose -6*p + 12 = 0, 0 = -2*l + 6*p - p. Let b = 202 + -138. Suppose -b = r - l*r. Calculate the lowest common multiple of r and 6.
48
Suppose -247338 = -5*j + 47*j. Find the common denominator of -53/77 and j/3640 + 3/8.
770
Let q be (-84)/(-36) + -1 + 10/6. Let r be q/(-2) + (-268)/8. Let m = -31 - r. What is the lowest common multiple of m and 2?
4
Suppose -z = -2*k - 6*z - 36, -5*z = -5*k - 160. Let t = -26 - k. Suppose r = t*g, 3*g = -0*r + 5*r - 35. Calculate the least common multiple of 14 and r.
70
Let b = -18977/240448 - -3/3757. Calculate the common denominator of -89/236 and b.
3776
What is the smallest common multiple of 3 and -8 - ((-1040)/(-160))/(543/(-180) - -3)?
1146
Let m(s) = 2*s**2 - 24*s + 27. Let f be m(14). Suppose h + f = 2*r + 2*r, 3*r = h + 61. Calculate the least common multiple of r and 12.
132
Suppose 5*f = l + 7, -5*l + 0*l - 8 = 2*f. Calculate the least common multiple of f - (-5 - (3 - -3)) and 36.
36
Let u(h) = -h**3 - 5*h - 16. Let m be u(9). Let z = -4805/6 - m. Find the common denominator of -149/6 and z.
6
Suppose -3*o = 2*o - 30. Let y(u) = -3*u**2 - 21*u - 16. Let v be y(-8). Calculate the lowest common multiple of (352/v + 8)*(-110)/4 and o.
66
Suppose 16*r - 64 = 192. Suppose -k = -2, o - 58 + 4 = 5*k. What is the least common multiple of o and r?
64
Suppose -37 = -5*b + 13. Suppose -b*d - 1