
36
Let w = 20008 + -34209. Let t = w + 283949/20. Let b = -34847/42 - -2476/3. What is the common denominator of b and t?
140
Suppose q - 20 = -5*v + 2*q, 3*q = -4*v + 16. Suppose -5*m + v*m + 4 = 0. What is the lowest common multiple of m and 8?
8
Find the common denominator of -53/90 and 2223/240 + -1 - 7.
720
Let k(c) be the third derivative of -c**6/120 + 11*c**5/60 - 35*c**4/24 - c**3/6 + 35*c**2. What is the common denominator of k(4) and 97/10?
10
Let a = 8 + -5. Let i be ((-7752)/9)/(-1) + a. Let q = -879 + i. What is the common denominator of -65/8 and q?
24
Suppose -10*r + 336 = 4*r. Let k(h) = -h - 2. Let j be k(-4). Suppose -u + j = -r. Calculate the smallest common multiple of 6 and u.
78
Suppose -w + 8 = r + 3*w, -4*r - w = -32. What is the smallest common multiple of 14 and r?
56
Suppose -8*g + 96 = -32. What is the smallest common multiple of 8 and g?
16
Let m = 2783/62 + 50/31. What is the common denominator of 5*1/(-6)*57 and m?
2
Let q be ((-2254)/4788 + (-2)/(-6))*3. Let o = q + 30/19. Calculate the common denominator of o and 37/3.
6
Let b = 33 + 6. Suppose -h - 5*r = -b, 3*h + 2*h - 3*r - 55 = 0. What is the lowest common multiple of 34 and h?
238
What is the common denominator of -43/72 and (-1378)/180 - (-3 - 36/(-15))?
72
Let y(x) = 2*x**2 - 7*x + 5. Let i = -43 + 61. Let o(l) = l - 17. Calculate the smallest common multiple of o(i) and y(4).
9
Let w = 102215/18 - 5674. Find the common denominator of w and 6 - ((-2340)/384 + 13).
288
Let j = -137 - -158. Calculate the common denominator of 91/2 and j.
2
Let u(k) = 16*k + 56. Calculate the lowest common multiple of u(13) and 165.
1320
Let l = 266233/87690 - 8/2923. Find the common denominator of l and 133/130.
390
Let d be (-3 - -95 - -1)/1. Suppose 4*m + 8 = -3*k + 50, -5*k + m + d = 0. Calculate the least common multiple of k and 24.
72
What is the smallest common multiple of 3 and 1/3 + 85/15?
6
Let q = 298/95 - 71213/21945. Calculate the common denominator of q and -27/10.
2310
Let q be -2 - 220/(-3) - (-7)/(-21). Let g = 3 + q. Calculate the least common multiple of 8 and g.
296
Suppose 0 = p + 3*o - 27, -p + 2*o + 2*o + 20 = 0. What is the smallest common multiple of 93 and p?
744
Find the common denominator of 53/80 and (-6)/204*59 - -1.
1360
Suppose -v + 5*c = -4 + 13, -15 = 4*v + c. What is the common denominator of -44/9 and (-2)/v*34*(-2)/(-4)?
18
What is the common denominator of ((-2)/(-264))/((-20)/(-2190)) and 29/88?
88
Let m = 9028 + -316006/35. Calculate the common denominator of -57/77 and m.
385
Let x = -150 + 257. Suppose -4*f - 64 = -3*b, 0 = -4*b - 0*f + f + x. What is the lowest common multiple of 48 and b?
336
Let r = -117887/12 + 9835. Calculate the common denominator of r and 67/30.
60
Let w be -3 - 62894/(-21978) - (-10)/45. Let g = -4/407 + w. Calculate the common denominator of g and 145/24.
216
Suppose 92 = -4*i + a, -2*a + 46 = 2*i - 4*i. Suppose 3 = u + 2. What is the common denominator of i and -1 - (-262)/20*u?
10
Let m = -26 + 36. Let w be (16/m)/(2/5). Calculate the least common multiple of (-24)/14*(-14)/w and 9.
18
Suppose 0 = 3*y + 4*v - 5, 14 = 5*y + 3*v - 2*v. What is the smallest common multiple of 6 and y + (-4 - (-5 + -8))?
12
Let p = -172 - -1723/10. What is the common denominator of p and -1 + (-6)/(-2) - -9*(-130)/(-312)?
20
Let h = -11 - -29. Suppose 0 = -20*u + h*u - 2. What is the smallest common multiple of 16 and 1*(-2 - (u + -7))?
48
Suppose 0 = l, -4*l - 64 - 846 = -5*x. What is the least common multiple of x and 104?
728
Suppose 0 = u - l - 14, 5*u + 0*l - 98 = -2*l. Let f be (3/(-2))/(3/66). Let n = 55 + f. What is the lowest common multiple of n and u?
198
Let m be (24/20)/((-2)/10). Calculate the common denominator of -73/2 and (m/5)/((-178)/(-62) - 3).
10
Let p(j) = -j - 14. Let z be p(-17). Suppose -4*r = 3*t + 117, t + 12 = -z*t. What is the common denominator of 131/18 and r?
18
Suppose -4*a = 8 + 16. Let n be ((-1)/a)/((-4)/343). Let c = 44/3 + n. Calculate the common denominator of 21/4 and c.
8
Let a(g) = -g**3 + 23*g**2 - 57*g + 10. Calculate the lowest common multiple of 100 and a(20).
700
Let p = 16 - -14. Suppose 2*f = -f - 2*h + 409, 273 = 2*f + h. Suppose -143*q + 96 = -f*q. What is the least common multiple of q and p?
240
Let s = 53 + -33. Let a be ((-95)/s)/(15/123). Let h = a + 276/5. Calculate the common denominator of 63/4 and h.
4
Let l = -5346 + 48038/9. Let d = -175 + 871/5. Find the common denominator of d and l.
45
Let b be (-1860)/(-42) + (-6)/21. Let i be (-3 + -3 + 4)*12. Let n = b + i. What is the smallest common multiple of n and 18?
180
Calculate the common denominator of 24 + -26 + (-153)/(-15) and (98/44)/((-2)/4).
55
Suppose 5*q = v - 4*v + 11, -v + 22 = -2*q. Suppose 308 = 16*f - 2*f. What is the least common multiple of v and f?
132
Let z be (-13 - -3)*(-12)/(-3). Let k = z + 47. Calculate the lowest common multiple of (5 + 0)*(-8)/(-5) and k.
56
Let x be (-2 + 78/9)*-6. Let z = -13525/48 + 859/3. What is the common denominator of (-102)/x + 1/(-4) and z?
80
Let g = 191 - 165. Calculate the least common multiple of 2 and g.
26
Suppose 18*c - 321 = 1119. What is the lowest common multiple of c and 24?
240
Let h = -35/12 + 3. Calculate the common denominator of ((-85)/14)/(204/(-42) - -4) and h.
12
Suppose -47 + 161 = 3*a. What is the lowest common multiple of a and 14?
266
Suppose 0 = 9*s + 2 - 74. Suppose 4*t - 5 = 3. What is the lowest common multiple of (-272)/(-12)*6/s and t?
34
Suppose -33*x - 3 = -32*x. What is the common denominator of -137/12 and x/63*(35/6)/(-5)?
36
Let p be 2/(-5) + 381/15. Suppose 3*w + 143 + p = 0. What is the common denominator of (-5)/10 - w/(-6) and 145/18?
18
Suppose 37 = 5*n - 13. Let u(a) = -10*a**2 + a - 7*a**3 + 15*a**3 - 7*a**3 + 10. What is the smallest common multiple of 2 and u(n)?
20
Let p = 136626/5 + -964601/30. Let j = p + 4816. Calculate the common denominator of j and -39/2.
6
What is the common denominator of -67/64 and -3 + ((-5535)/(-144))/(-15)?
64
Let i be (3 + (55 - -3))*1. Suppose -63*k = -i*k - 60. What is the smallest common multiple of 27 and k?
270
Find the common denominator of -121/6 and ((-49)/(-364))/((-43)/(-40) + -1).
78
Calculate the least common multiple of -11 + 90/15 - 46/(-2) and 124.
1116
Let p(q) = 10*q**2 - q - 1. Calculate the smallest common multiple of (-42 + 20)*(-8 + 1 + 6) and p(-1).
110
Let i = 71773/126 - 569. Find the common denominator of -111/10 and i.
630
What is the common denominator of -37/72 and (-195)/(-540)*(-33)/(-4)?
144
Let g = -67962 - -5301175/78. What is the common denominator of g and -59/36?
468
Let n = 4751/372 - 2/93. Let f = -14/15 - -161/60. Calculate the common denominator of f and n.
4
Suppose -4*t - 4*z = -z - 27, 2*t - 10 = 2*z. Let v(m) = 11 - 6*m - 9*m + m**2 + t*m - 4*m. Calculate the least common multiple of v(13) and 6.
66
Let r be (-1)/(14/(-44171)) - (1 - 1). Let f = r - 3151. Calculate the common denominator of -73/2 and f.
14
Let o(b) = -b**2 - 2. Let m be o(-3). Let r = -18 - m. What is the smallest common multiple of 5*r/((-140)/24) and 2?
6
Suppose -5*m = y - 23, m - 4*y = -2 - 6. What is the smallest common multiple of m and 128?
128
Let w(k) be the first derivative of 3 - 2*k + 1/2*k**2. Calculate the least common multiple of 8 and w(8).
24
Suppose -59*u = -43*u - 224. What is the lowest common multiple of u and 164?
1148
Let h = 853 + -543. Let d be (h/272)/(-1) + 1. Let i = 3139/408 - d. What is the common denominator of -7/6 and i?
6
Let a = 2879/3738 - -7/178. Calculate the common denominator of -83/4 and a.
84
Suppose 0*h + 140 = -4*l + 2*h, h - 33 = l. What is the common denominator of -67/14 and l/4*2 + 3?
14
Let w be -94 + (13/(-5) - 9/(-15)). Find the common denominator of -71/20 and (-182)/w + 17/102.
80
Let x be ((-86)/(-3))/(70/21406). Let v = x - 846167/120. Let q = -1720 + v. Calculate the common denominator of 73/12 and q.
24
Suppose -3*q = -2*c + 8, 5*c + 5 - 25 = -4*q. Let b = 27/22 + -294/11. What is the common denominator of b and 38/c*(-4)/(-6)?
6
Find the common denominator of 119/270 and 3 - 1562/(-480) - (11 - 4).
2160
Let s = 433 + -397. What is the least common multiple of s and 40?
360
Let p(b) be the first derivative of b**2 - 16