
15
Let y be (-4302)/(-45) - (-2 + (-16)/(-10)). What is the smallest common multiple of ((-5)/(-5 + -5))/(4/y) and 15?
60
What is the common denominator of 58/3 and (-27026)/14820 - (-2266)/1236?
3705
Let w = 19040 - 3198779/168. Calculate the common denominator of w and -173/294.
1176
Let o(d) = 6*d**2 - 18*d + 48. Let h be o(11). Let r = -504 + h. Calculate the least common multiple of 32 and r.
288
Suppose 0 = 4*m + 5*v - 87, m + 10 = 5*v + 13. Suppose -m*w + 16*w + 200 = 0. Calculate the least common multiple of w and 50.
100
Suppose -b - 147 = z, -z - 5*b = -0*b + 159. Find the common denominator of (-1*(-61)/(-2))/(z/32) and 36/47.
423
Suppose -35*t = t - 26 - 118. What is the smallest common multiple of t and 170?
340
Find the common denominator of -2/119 and -2 - (1 + 8/100*-8).
2975
Suppose 82*n = 76*n. Suppose b - 3*d + 6*d - 8 = n, 2*b + 3*d - 10 = 0. What is the least common multiple of b and 20?
20
Suppose -k = m + 3, -3*m = -m - k + 6. Let h(f) = f**3 + 6*f**2 + 5*f - 1. What is the smallest common multiple of 44 and h(m)?
44
Let v = -102872 - -102875. Suppose 4*k = -4*l + 396, 218 - 29 = 2*k - l. What is the lowest common multiple of v and k?
96
Let z(b) be the first derivative of b**3/3 - 6*b**2 - b + 25. Let a be z(5). Calculate the common denominator of (13/(-4))/((-154)/a + -4) and -57/2.
10
Let v(i) = -797*i - 16. Let w(d) = d**3 + 2*d**2 - d - 4. Let t be w(0). Let k be v(t). Let l = k - 28597/9. Find the common denominator of l and 23/28.
252
Let s be 13304/120 - (-4)/30. Suppose -3*n + s = -72. Suppose g - 76 = -2*g - c, -3*g - 4*c = -n. What is the least common multiple of g and 18?
54
Let w(t) = 20*t**2 - 22*t - 57. Let v be w(-27). Let u = -635011/42 + v. Find the common denominator of u and 55/14.
42
Suppose 22*t - 15*t + 161 = 0. Suppose 2*x - 2*w = -54, -3*w + 52 = 2*x - 4*x. Let d = t - x. What is the least common multiple of 9 and d?
18
Let j(r) = -38*r + 586. What is the lowest common multiple of 588 and j(11)?
1176
Let j(n) = -n**3 + 28*n**2 - 13*n + 64. Calculate the lowest common multiple of 8 and j(11).
7912
Let z = -6064 + 15785. Let g = z - 903982/93. Find the common denominator of 13/8 and g.
744
Let p = -111047563832741/267735540 - 40972084/153871. Let t = p - -1245101/3. Let a = 329/58 - t. What is the common denominator of -81/26 and a?
260
Let g = -30434/13743 + 11/1018. Find the common denominator of -13/2682 and g.
8046
Let o be (-41473)/13 - -1 - (8 + -12). Let a = o + 3187. Calculate the common denominator of a and 67/16.
208
Suppose 0*b + 3*g = 3*b - 6, 5*b + g = 22. Suppose 43*y - 41*y = -4. What is the common denominator of 95/22 and (b*1099/(-168))/(5*y)?
660
Let n(y) = 0 + 11 - 19*y - y**2 + 4 + 12. Let d(p) = -2*p**2 - 38*p + 53. Let k(t) = 4*d(t) - 7*n(t). Calculate the smallest common multiple of 8 and k(-20).
24
Let q = 29 + -6. Let r be q/2 - 15/(-30). What is the least common multiple of 64/12*r/8 and 21?
168
Let p(b) = 7*b - 37 - 15*b + 42 + 68. Calculate the smallest common multiple of p(6) and 35.
175
Let x be (-12 - (-3 - 0)) + -1. Calculate the least common multiple of x + 8 - (-1*2 + -4) and 8.
8
Let b = -145933/82346 + -2/3743. Let z(q) = -2*q**2 + 11*q + 7. Let w be z(9). Calculate the common denominator of (2 + 1 + -2)/(w/707) and b.
88
Let z(l) = 5*l**2 + 12*l + 31. Let w be z(-3). Find the common denominator of w/10*(-9)/(-132) and -34/9.
99
Let z = -20517 + -4365. Let x = z + 696795/28. What is the common denominator of -34/5 and x?
140
Suppose -14*n + 16681 - 1141 = n. Calculate the smallest common multiple of 18 and n.
9324
Let k be ((-2)/4)/(14/(-140)). What is the least common multiple of 10 and 10/(-6)*(6 + (-36)/k)?
10
Let b(c) be the third derivative of c**4/4 + 10*c**3/3 - 23*c**2. Let g be b(4). Let y = g + -26. What is the least common multiple of y and 12?
36
Let x = -140 - -144. Suppose 2*s - x*w = 182, 0 = 4*w - 14 - 2. Calculate the smallest common multiple of 27 and s.
297
Let m = 44151/874 + -966/19. Find the common denominator of (-3)/9 + (-1533)/180 + 4 and m.
460
Let l(j) = 5*j + 113. Let r be l(-37). What is the common denominator of (-109)/(-10)*-1*9/r and -61/4?
80
Let q = -2191 - -72280/33. Let m = 273193/22002 + -1/14668. What is the common denominator of m and q?
132
Let b = 229285637/33 - 6950897. Let h = b - -2848. Let m = -664/369 + -11/123. What is the common denominator of m and h?
99
Let c = 761/15 - 133/3. Let p be 1 - (2 - 2562/(-45)). Let x = 299/6 + p. What is the common denominator of x and c?
10
Calculate the common denominator of 2 + (-56034)/44928 - 1*2/13 and -43/768.
768
Calculate the common denominator of (221/(-3380))/(22 - 19) and 23/195.
780
Find the common denominator of (-4332)/361 + 5077/417 and -86/15.
2085
Suppose 0 = 497*n + 1254 - 5230. Let p be (1 - 2)/((-1)/(-37)). Let v = p + 55. Calculate the smallest common multiple of n and v.
72
What is the lowest common multiple of 48 and (-323526)/(-231) + -2 + 96/66?
8400
Let u(c) = -c**2 + 13*c - 19. Let o be u(8). Calculate the common denominator of 318/(-8)*(-1)/6 and ((-265)/(-954))/(5/o).
24
Calculate the common denominator of (-1)/(16/(-118)) + 6/12 and (-4 - (-5135)/600) + (-22)/(-55).
24
Let j be (2 - 10)/(16/8). Let v = -4/1677 + -27359/13416. Find the common denominator of ((-3)/j)/((-342)/(-2033)) and v.
24
Let h = -10137/7 - -1455. Let r be (-4)/(-6)*(-14 + (-8 - -10)). Calculate the common denominator of (-420)/8*r/110 and h.
77
Let c = -633723526/855 + 741197. What is the common denominator of 19/30 and c?
1710
Suppose -4*v - 14 = n - 0*v, -4*v = -2*n - 4. What is the common denominator of n - (-3 + 87/(-120)) and 107/22?
440
Calculate the common denominator of -1/525 and 420/(-144)*(-4)/5 + (-4567)/2100.
2100
Suppose -8*j + 276 = -60. Let p = -2744 - -2822. Calculate the lowest common multiple of p and j.
546
Let r(m) = m**2 - 112*m + 1731. Calculate the lowest common multiple of 6078 and r(18).
79014
Let w = 824 + -297. Let l = -479 + w. Calculate the lowest common multiple of l and 24.
48
Let l = 4/1609 + 65777/77232. Let y = 9943 - 149201/15. What is the common denominator of l and y?
240
Find the common denominator of 23/6 and 2/(59256/89116) - (-13)/((-65)/15).
14814
Let l be (-2 - 2) + 5 + -2. What is the common denominator of (-1)/((-42)/(-278)) - (-5 - l) and -107/6?
42
Let u be (-79690)/(-22575) + -6 - -2. Let n = 1/301 + u. Calculate the common denominator of n and 83/21.
105
Calculate the common denominator of 65/64 and (2/(-48))/((-90)/2130).
576
Let x(u) = -u - 285. Let r be x(0). Calculate the common denominator of r/6 - 0/2 and (-18)/(-24) + (1 - 31/3).
12
Let b = 452124965/5832 - 620199/8. What is the common denominator of b and 43/9?
2916
What is the smallest common multiple of 140 and 17480/1495 - (-8)/26 - -988?
7000
Let s be 0/4 + (-2)/(-2) + -2. Let k be (-6)/(-15) - s/(805/(-317)). Let c = -47/161 + k. What is the common denominator of c and 28/9?
63
Find the common denominator of 2 + -1 - -2 - (20244/2472 - 5) and 103/38.
3914
Let w be 10 - 13 - (-1193)/387. Let j = -16061/774 - w. Calculate the common denominator of j and ((-1)/(-36))/(1/(-206)).
18
Suppose 0 = 4*o - 7 - 5. Suppose -o*p = -5*p + 82. Let b = -29 + p. Calculate the smallest common multiple of b and 12.
12
Suppose 564*d + 1787 = 16*o + 559*d, 4*o - 2*d = 446. Let q = -3 + 25. Calculate the least common multiple of q and o.
1232
Let c(w) = w**3 + 9*w**2 + 9*w + 7. Let f be c(-8). Let o be (9 + -12)/((0 - 0) + f). What is the lowest common multiple of 11 and 2 + 120 + 0*o/(-12)?
1342
Calculate the common denominator of (6/(-54))/((-80)/102) and 59/416.
6240
What is the common denominator of 931/(-300)*96/(-336) and 251/(-270) - (-4)/8?
1350
Let o be (38/76)/(2/(-40)). Calculate the common denominator of o/(-195)*219/(-12) and -93/16.
624
Let r(x) = -x**2 - 16*x - 36. Suppose -8*c + 10 = 58. Calculate the least common multiple of r(c) and 3.
24
Let f = -347889/22 - -15816. Let a = 1/96 - -815/96. Find the common denominator of f and a.
22
Find the common denominator of 522/32*66/297 and 49/86.
344
Let a = 692 - 668. Calculate the smallest common multiple of (-48)/(-18)*360/16 and a.
120
Let z = 5347 - 42719/8. Let m = 1219/2285463 + 78408989525/26975319789. Let j = m - -2/107