2
Let p = 4046 - 3785. What is the least common multiple of 4 and p?
1044
Let w(z) = -2*z + 3. Suppose 311*b + 16*b = 20601. Calculate the least common multiple of w(-9) and b.
63
Calculate the common denominator of (-193)/(-114) + 624/(-234) and 121/6.
114
Suppose -11*f - 1753 - 1766 = -3882. Suppose 2*i = -34 - 62. Calculate the common denominator of f and i.
1
Let l be (7 - (2 + 2)) + -4. Find the common denominator of -23/3 and l + 0 + (-3317)/(-1116).
36
Let t(g) = -g**3 + 11*g**2 - 2*g - 24. Let q be t(10). Find the common denominator of (-1*(-4)/(-30))/(q/(-3850)) and -67/78.
78
Let v(y) = 3*y + 6. Let o be v(27). Find the common denominator of (o/50)/((-33)/165) and 17/36.
180
Let f be (-12)/(-84) - 180/(-14). Suppose -f*j = -12*j + 1189. Let g = -9459/8 - j. Calculate the common denominator of -5/36 and g.
72
Suppose j - 4*b - 62 = 6, b - 127 = -2*j. Calculate the smallest common multiple of 416 and j.
832
Let m(z) = -2*z + 24. Let t be m(7). Let w(x) = x**3 - 6*x**2 + 5*x + 6. Calculate the least common multiple of (t/4)/(3/6) and w(6).
180
Let f(u) = -u**3 - u**2 + 2*u - 3. Let i be f(-3). Let p be 1 + 4 + (623 - 6). Find the common denominator of (p/4 - 1)/i and 103/6.
6
Suppose -55 = x - k, -5*x - 353 = 3*k - 110. What is the common denominator of 50/57 and (1 + x)*(-1)/(-24)?
228
Let d be 72939/6120 + 12/(-6). Let s = d + -1/680. Find the common denominator of s and -13/2.
12
Let f = 7 + 3. Suppose 0 = 7*w - 242 - 276. Calculate the smallest common multiple of w and f.
370
Let o = -7 + 19. Let q = 24 - o. What is the least common multiple of (-3145)/(-95) - (-250)/(-2375) and q?
132
Let g = -579 - -11617/20. Suppose -44 = -5*t - 4*m, 3*m + 0*m = -4*t + 36. What is the common denominator of g and 1*(-2 + 10/t)?
60
Let v = -179/816 + 2677/6120. What is the common denominator of 83/1008 and v?
5040
Suppose 0 = 3*u + l + 7, 4*l = 4*u - 3*u - 15. Find the common denominator of (u + -1)*(8250/(-280))/(-25) and (-5)/7*(-266)/36.
126
Let b = 9/113 - 3191/339. Let k be 4/42 - (-16587)/(-189). Let u = 71 + k. Calculate the common denominator of u and b.
3
Let c(f) = f**3 + 6*f**2 + 4*f + 6. Let h be c(-5). Suppose h*u - 6*u - 50 = 0. Calculate the least common multiple of u and (-40)/(-30)*54/4.
90
Let s be (-32)/(-555120)*1/(-10). Let d = 2794883/1387800 + s. What is the common denominator of d and (-3)/5 + 2046/90 + -16?
360
Let f be (-1 - 0) + 104/410. Let k = -6/41 - f. Let w(l) = 5*l**3 - 38*l**2 - 17*l - 17. What is the common denominator of w(8) and k?
5
Suppose 4*h - 2*h - 28 = 0. What is the common denominator of -4 - -3 - (67/21)/1 and h/49 - 835/(-42)?
42
Suppose -193*w = -198*w - 465. Let n = -654/7 - w. What is the common denominator of 50/11 and n?
77
Let n = 497157/136 + -3655. Let h = -14909 - -208773/14. Calculate the common denominator of n and h.
952
Let j = 4687 - 4354. Calculate the least common multiple of 30 and j.
3330
Let y be ((-4)/(-10))/(7/105). What is the least common multiple of 54 and (33/y)/(-4*4/(-192))?
594
Suppose -l + 5*l - x + 35686 = 0, -3*x - 6 = 0. Let t = l - -437193/49. Let w = -1670/147 - t. What is the common denominator of 75/2 and w?
6
Let x = 139 - 136. Suppose 2*v + 2*r = x + 75, -4*v = r - 150. Calculate the lowest common multiple of 3 and v.
111
Suppose -4*g + r + 3992 = 0, 2*g = 40*r - 43*r + 2010. What is the lowest common multiple of g and 6105?
54945
Let j = -9683522 + 54615064219/5640. Find the common denominator of 37/1128 and j.
5640
Let d = 2/2413 + 219483/120650. What is the common denominator of (-5)/(-75)*(644/49 + 10) and d?
350
Suppose -5*z + 3*z = -y - 731, 4*y + 1104 = 3*z. Let p = -360 + z. What is the smallest common multiple of p and 263?
1052
Let c(d) = 2*d**3 - 45*d**2 + 23*d + 6. Suppose 7*a - 8*a + 2*k + 12 = 0, 4*a = 4*k + 68. What is the smallest common multiple of c(a) and 84?
84
Let w(c) = -c**2 - 27*c - 77. Let l be w(-20). Suppose -2*x - 21 + l = 0. What is the smallest common multiple of ((-18)/(-5))/((-1)/(-5)) and x?
126
Calculate the lowest common multiple of 8772/(-170)*(0/(-2) + (-9 - -4)) and 516.
516
Let k(x) = x**3 + 11*x**2 + 17*x - 17. Let h be k(-8). Let d be (-9 + -4)*(-2 + (-2 - -3)). Find the common denominator of 24/25 and (16 - -1)*d/h.
75
Let x(m) = 21*m**3 - 2*m - 2*m**2 - 54*m**3 - 26*m**3. Let l be x(-1). Suppose 54*i = l*i - 60. What is the lowest common multiple of 21 and i?
84
Let b be 24/60 + 202/(-5). Let d = 58 + b. What is the lowest common multiple of 48 and d/(-9)*(-15)/2?
240
Suppose 472 - 2376 = 34*w. Let j = w - -77. What is the lowest common multiple of 36 and j?
252
Let v be 4/7 + (-14602467038)/462. Let c = v + 31612923. Let q = 5853 - c. Find the common denominator of q and 22/9.
99
Let t(q) = 32*q**2 - 39*q + 97. What is the smallest common multiple of 268 and t(3)?
268
Let b = 20336 - 1403216/69. What is the common denominator of b and ((-4)/(-14))/((-12)/840*(-24)/20)?
69
Let t be 20*1*-1 + 2. Find the common denominator of 1 - 3/4 - (-17)/((-221)/(-104)) and (-130)/t - (-8)/(-8).
36
Let p be (48/(-5) - 120/(-150))*-10. Suppose 5*n + 8 = p. Calculate the smallest common multiple of n and 8.
16
Let a = -54 - -61. Let k(b) = a*b + 2*b + b**2 - b + 7 - 6*b**3 + 5*b**3. What is the lowest common multiple of k(-2) and 6?
6
Let u = 264 - 258. Let i = -1443 + 2971/2. What is the common denominator of u/(-1) - (-424)/(-24) and i?
6
Suppose 0 = -37*n + 36*n + 21. Suppose -6*j + 2*m + n = -j, -2*m = 6. What is the lowest common multiple of 15 and j?
15
Let o = 116250 - 21157611/182. Calculate the common denominator of -97/40 and o.
3640
Suppose -5*s + 7 = -t + 2*t, 4*t = s - 14. Suppose -4*y - 4*p + 20 = 0, s = -y + p + 9. Calculate the smallest common multiple of y and 6.
6
Let q = -277 + 640. Calculate the smallest common multiple of 231 and q.
2541
Let v = 11136 + -1592507/143. Find the common denominator of 15/182 and v.
2002
Let r be (-57)/(2 - 78/4). Let g = -6/7 + r. Find the common denominator of -23*(69/(-184) - 30/(-16)) and g.
10
Suppose -4444*q = -4434*q - 10610. What is the least common multiple of 2 and q?
2122
Let y = 767 - 111. Let x = -9892/15 + y. Find the common denominator of 89/6 and x.
30
What is the common denominator of 170/(-102) - (-2)/(-60) and -41/2252?
11260
What is the common denominator of -19 + 334120/15916 - 2 and -52/9?
35811
Let i(m) = m**2 - 6*m - 5. Suppose 0 = 4*b - 0 - 20. What is the common denominator of i(b) and ((-580)/40)/((-8)/14*70/60)?
4
Suppose a - 2*i = 2*a + 22155, 2*a - i = -44295. Let w be a/(-198) + -4*2/(-4). Let b = w + -112. Calculate the common denominator of -145/36 and b.
396
Let h = -2422 + 50873/21. Find the common denominator of 113/2886 and h.
20202
Let n be ((-3116)/1026)/((-1)/(-3046)). Let w = n + 9249. Find the common denominator of w and -14/5.
135
Let u = -381759/40 + 47727/5. Let f = 4617/224 + -148/7. Find the common denominator of f and u.
160
Find the common denominator of -65/1024 and (23112/(-3780))/((-48)/(-15)).
7168
Let v = 36365 + -1818163/50. Let j = -50739/80 + 634. Calculate the common denominator of j and v.
400
Let h = -25427/48664 + 21/6952. Let d = 2/5465 - -49097/240460. Find the common denominator of d and h.
308
Let a = 565 - 3287/6. Calculate the common denominator of -67/2229 and a.
4458
Let g = -453/32 + 7849/672. What is the common denominator of -14/243 and g?
1701
Let f(x) = x**3 + 17*x**2 - 38*x - 45. Let v be f(-19). What is the common denominator of 130/(-105)*v/(-12) and 77/10?
70
Let f(h) = -5*h - 31. Let p be f(-7). Suppose m - 4*m - 4*z + 180 = 0, -p*z = -2*m + 100. Calculate the common denominator of (39/(-6))/(m/35) and 95/22.
176
Let z = -611969/4 - -153846. Let h = -833 + z. Let f = -47995/9 - -5340. Find the common denominator of h and f.
36
Let h(x) = x**2 + 2*x - 2. Suppose -6*v + 9*v - 18 = 0. Let c(i) = 5*i - 26. What is the lowest common multiple of c(v) and h(2)?
12
Let r be ((-626)/(-4))/((-13)/390*-15). Let t = -309 + r. Suppose -3*g = 2*g - 30. What is the lowest common multiple of g and t?
12
Let x = -369377 - -94930075/257. Let i = x - -29629/7710. Let k = 191/14 - -6/7. Find the common denominator of k and i.
30
Let a = 4181518/3702855 + 8428/5585. Let b = a + 21/221. Let k = -31763/15 - -2119. Calculate the co