 What is the lowest common multiple of h and 12/3 - (-166 - -126)?
220
Let b(h) be the second derivative of -h**4/12 - 2*h**3/3 + 5*h**2/2 - 2*h. Let n be b(-5). What is the common denominator of n/5 + (-85)/(-6) and -6/5?
30
Let h(l) = -3*l**2 + 5*l - 2. Let x be h(3). Let m = -46 + x. Calculate the lowest common multiple of 8 and (72/m)/(6/(-80)).
16
Suppose -4*c + f = 37, 2*f - 3 + 1 = 0. Let o be 0 - 1*(-3678)/c. Let b = 396 + o. What is the common denominator of 77/12 and b?
12
Suppose -5*q + 5*v - 9*v = -36, -2*q + v + 4 = 0. Suppose 0 = 3*n - 12, q*o - 2*n + 0*n = 48. What is the least common multiple of o and 556?
3892
Let n = -11 - -20. Suppose 2*y - n = y. Suppose -98*f + 3*q = -99*f + 13, 5*q - 38 = -4*f. Calculate the lowest common multiple of y and f.
63
Suppose -3*y = -11 - 4. Let r(t) = 2*t**3 - 9*t**2 + 13*t - 7. Let d be r(y). Suppose -45 = -16*w + d. What is the smallest common multiple of w and 2?
8
Suppose -2*w + 124 = m, -w - m = 4 - 68. Calculate the smallest common multiple of w and 228.
1140
Let j be 56/(-9) - (-12)/54. Let c = j - -8. What is the smallest common multiple of c and (2/4)/(-5*2/(-20))?
2
Let n = -71724 - -1434189/20. Let o = -103/4 - n. Find the common denominator of 61/6 and o.
30
Let w(y) = -y**3 + 14*y**2 - 21*y - 35. Let x be w(12). Calculate the common denominator of 17/9 and 0 + x/(34/(-86)).
153
Find the common denominator of -19/215 and (-3*(-124)/(-1376))/(81/(-54)).
860
Let b = -1852627/100 - -18526. Calculate the common denominator of -109/3050 and b.
6100
Suppose -3*t + 3*k = -114, 0*t - 4*t - 4*k + 120 = 0. Let m = 411 - 350. Suppose -227 = -16*f + m. Calculate the lowest common multiple of f and t.
306
Find the common denominator of (-16 - -8 - -21)*2/(-16)*2 and ((-43)/(-3))/(2/3).
4
Let l = -230041555468871/15264 + 15070856627. Let z = -1/1696 + l. Let p = 1236307/58 + -21315. Find the common denominator of p and z.
522
Find the common denominator of -7/1090 and ((-9)/(-5))/(-3) - ((-102)/(-165) + 0).
11990
Let n = -279 + 296. Suppose -55 = -4*m + 3*q, 16*m - 2*q + 22 = n*m. Let a = 13 - 1. What is the least common multiple of a and m?
48
Let r(j) = -j**2 + 23*j + 18. Let q(t) = 2*t**2 - 53*t - 36. Let p(s) = -4*q(s) - 9*r(s). What is the least common multiple of p(-8) and (-2)/5 + 124/10?
12
Suppose -148*i + 256857 + 631143 = 0. What is the smallest common multiple of i and 60?
6000
Suppose -34 + 8 = 13*f. Calculate the lowest common multiple of 40 and f - (-156)/(12/4).
200
Suppose -7*g - 540 = -17*g. Suppose 30*x = 29*x + g. What is the least common multiple of 66 and x?
594
Suppose 0 = 3*w - 37 + 88. Let z = 199 + w. What is the smallest common multiple of 70 and z?
910
Let b be 2 - ((-4)/(-12) - 20800/12). Let w = -7017/4 + b. What is the common denominator of 21/46 and w?
92
Suppose -3*w = 2*s - 396, 93*w - 90*w = 3*s - 549. Calculate the least common multiple of s and 315.
945
What is the lowest common multiple of 3 and (10416/8)/3*((-81)/(-6) + 0)?
5859
What is the smallest common multiple of (1 - -14)/(-16 + 407/22) and 2172?
2172
Let c(x) = 7*x + 20. Let o be c(-4). Calculate the smallest common multiple of 54 and (2 - (o - -13))*-6.
54
Suppose 2*b + 5*g = 3*b - 33, 4*g = -b + 60. Suppose 3*o - b = -o. Let q = -29967 + 29994. What is the least common multiple of o and q?
108
Let b be (-20)/(-15) + 1358/(-6). Calculate the common denominator of 2*b/(-260) - (4 + 0) and 2/16*(-6 + -15).
104
Let x(b) = b**3 - 11*b**2 + 6*b - 28. What is the lowest common multiple of x(11) and 17?
646
Let x = -1141585 + 279687543/245. Let w = -9/98 - x. Calculate the common denominator of w and -79/172.
860
Let f = 687 + -682. Suppose -7 = -t - 4*m + 7, 34 = f*t + 2*m. Calculate the least common multiple of t and 40.
120
What is the common denominator of -13/360 and (15/6)/((-110)/(-33))?
360
Suppose 0 = -5*t - 5*d + 3400, 5*d - 25 = 10*d. Let l = 1269/2 - t. Find the common denominator of 29/74 and l.
74
Let j = 1341/11 - 365/3. Let k be ((-3849655)/318)/(7/4). Let v = 6919 + k. What is the common denominator of j and v?
231
Suppose -6 = f - 3*k, -13 = 4*k - 25. Let r be (-1)/(3/12) - -4. Calculate the smallest common multiple of f and 16 - 3 - (r + 1).
12
Let b = -690 - -694. What is the least common multiple of (-86)/(-7) + (-6)/21 and (2/((-6)/(-99)))/(5 - b)?
132
Let h = 10961 - 8225. Calculate the smallest common multiple of h and 64.
10944
Let j be (-16 - 1)/(2/(-388)*4). Let d = -801 + j. Let i = 3/53 - -117/742. Find the common denominator of i and d.
14
Suppose 2*g - 1057 - 331 = 2*n, 2*g = -3*n - 2102. Find the common denominator of -151/36 and 266/(-38) + n/(-84).
252
Let n(v) = 18 + 26 - 73 + 67*v**2 - v + 27. Let z(w) = -w**3 - 13*w**2 - 14*w - 12. What is the lowest common multiple of n(-1) and z(-12)?
132
Suppose -47*g = -95 - 657. Suppose -5*b + 266 = 2*n + 106, 4*n = -3*b + 320. Calculate the lowest common multiple of g and n.
80
Let v be 46412/44 - 8 - 5. Let t = v + -1037. Find the common denominator of t and -33/205.
2255
Let b be (-32)/(-72) - 124028/72*1. Let d = b + 168715/98. What is the common denominator of d and 103/12?
588
Calculate the smallest common multiple of 3724 and (96/3 - 74)*3/((-3)/2).
11172
What is the lowest common multiple of (-8)/10 - (1799364/155)/(-21) and 230?
2760
Let m(y) be the second derivative of y**4/4 - 9*y**3/2 - 9*y**2 - 216*y. Calculate the least common multiple of 6 and m(10).
12
Let n be (-10)/35 - 4612/28. Calculate the common denominator of -157/42 and 14/7 - n/36.
84
Let p(g) = -3*g - 3. Suppose -120*j + 52 = -116*j. Calculate the least common multiple of (-2)/j - 287/(-91) and p(-2).
3
Let b(k) = -4*k**3 - 7*k**2 - 5*k + 3. Let i be b(-4). Let h = i - 249. What is the common denominator of -31/10 and 50/(-20)*h/(-10)?
10
Suppose 3*q = -4*v + 52, 2*v - 2*q = 5 + 7. Suppose -v*f = -3*f - 112. What is the smallest common multiple of (45/(-20))/((-6)/16) and f?
48
Let k be 1635/12200 + (-6)/45. Let j = -463/8052 + k. Calculate the common denominator of j and 124/6 - (-9)/(-9).
264
Calculate the least common multiple of 162 and 3 + -1 + -1 + (-13 + 33)/4.
162
Let k = -568386467/672 + 845813. Calculate the common denominator of 53/32 and k.
672
Calculate the common denominator of (3 - (-18876)/(-1800)) + -5 + 13 and 84/(-270) - (-2)/(-3).
450
Let l be 0/6*(-1)/2. Let x be l + -2 + 5738/(-1344). Let u = -161/32 - x. Calculate the common denominator of u and -31/15.
105
Suppose -2*k + 10*y - 13*y + 2918 = 0, -2*y + 1457 = k. Let r = -3812719 - -80097925/21. Let h = r - k. What is the common denominator of -65/33 and h?
231
Suppose 20 - 4 = 4*h. Let v(k) = k**2 + 3*k + 2. Calculate the smallest common multiple of v(h) and -71 + -14 + -11 + 105.
90
Let s(c) = -10*c - 26. Let x be s(-7). Suppose -162 = 5*b - 3*a, -5*b - a = 102 + x. Calculate the lowest common multiple of 63/(-15)*b/9 and 22.
154
Suppose 8*g + 1 - 17 = 0. Let o be (-303)/46 - g/(-4 - 4). Let q = o - 316/69. Calculate the common denominator of 61/14 and q.
84
Let a = -7 - -10. Let d be (-15)/(-6) + -4 + 66/12. Suppose d*y + 7*y = 11. Calculate the lowest common multiple of a and y.
3
Suppose -7*n + 2*n = 5*d - 90960, -2*n = 3*d - 36387. Let s = n - 327293/18. Find the common denominator of 63/110 and s.
990
Let d = 384 - 1523/4. Let s be -1*(-16)/28 + (-6027364)/(-1052030). Let p = s + -3/4294. Calculate the common denominator of d and p.
20
Let p be ((-15)/45)/(1/(-27)). Let c be p/(-6)*8/(-12). Calculate the smallest common multiple of 33/4*(1 + c)*2 and 27.
297
Let s = 22017/8 + -2746. Calculate the common denominator of -2 - 0 - (-65)/4 and s.
8
Let b be ((-6)/(-7 + 1))/(2/14). Let z = b + -102/7. Calculate the common denominator of z and 39/736.
5152
Let s(g) = 2*g**3 - g**2 + 5*g - 4. Calculate the smallest common multiple of (552 - 0)*(-3)/(-39) + (-84)/182 and s(3).
168
Suppose -g + 2140 = -5*x, 77*x - 81*x = 3*g - 6363. What is the least common multiple of 55 and g?
23375
What is the common denominator of 71/536 and 7/(-70)*(116/(-406) + 2381/(-2814))?
1608
Suppose 409 + 1224 = 3*x + 5*k, 4*k - 2700 = -5*x. Calculate the smallest common multiple of x and 804.
1608
Suppose -36336 = -9*f - 21162. Calculate the smallest common multiple of f and 4.
3372
Suppose -c = -3*g + 