be p/(-8) + (-5)/10. What is the lowest common multiple of (2/(-4))/((-2)/y) and 10?
10
Let u = -110 + 161. Calculate the common denominator of (-16)/24 + 2/((-120)/(-706)) and -3 + 2 + u/(-5).
10
Let p(t) = 6*t**2 + 4*t - 13. What is the lowest common multiple of 6 and p(3)?
318
Let k = -1845 + 1805. What is the common denominator of -1 - 15/(-9) - 24 and k?
3
Let x = -2/51 - -11/136. What is the common denominator of 7/12 and x?
24
Suppose 2*s - 171 = -7*s. Suppose 2*a - s = a + 5*m, 5*a = -m + 17. Calculate the smallest common multiple of 18 and a.
36
Let g = -6283/12 + 524. What is the common denominator of g and 53/56?
168
Suppose q + 6 = -3*m, q - 2 + 7 = -2*m. What is the common denominator of ((-3)/(-6))/(224/242 + m) and -35/26?
234
Let l = -16370835 - -327329483/20. Let o = l + 4358. What is the common denominator of (-17)/12 + 0 - 1 and o?
60
Let y(u) be the first derivative of 0*u**2 - 1/3*u**3 + u - 6 + 1/4*u**4. What is the smallest common multiple of y(2) and 10?
10
Let a be 292/98*(102/40 - 1). Let u = -45/49 + a. Find the common denominator of u and 5/12.
60
Let b(p) = -7*p**2 - 97*p + 24. Suppose -2*h + 5*v + 12 = 0, -3*v + 2 + 28 = 5*h. Calculate the lowest common multiple of b(-14) and h.
30
Find the common denominator of ((-26)/(-28))/(2/(-4)) and (26/1)/((-3)/(60/(-16))).
14
Let m(w) = 13*w - 1. Let c be m(1). Suppose -21 = -3*y - s, -3*s - s = -c. Calculate the lowest common multiple of y and 22.
66
Suppose z - 16995 = 6*z - n, -5*n + 10175 = -3*z. Let m = -2/179 + -167/1074. Find the common denominator of m and 2/10*z/32.
12
Suppose 4290 = 3*m - 4*m + 3*c, -4*m - 4*c = 17128. Let w = 60029/14 + m. Find the common denominator of w and 57/14.
14
Let n = -255 - -263. Calculate the smallest common multiple of n and 6.
24
Suppose -4*x + 23 = -81. Suppose -8 = -4*y, -y + x = 2*w + 2*y. What is the smallest common multiple of 1 and w?
10
Let r = -20/41 + 2411/656. Let u = 8178 - 98249/12. Find the common denominator of u and r.
48
Let n = 84 - 87. Let t(b) = b**2 + 2*b + 3. Calculate the least common multiple of t(n) and 2.
6
Let z(n) = 21*n**3 - n**2 + 4*n - 4. Calculate the lowest common multiple of z(1) and (-68)/(-7) - (-6)/21.
20
Let h(k) = 19*k**3 + k**2 - 2*k + 1. Let n be h(1). Let q = -6 + n. Calculate the smallest common multiple of 2 and q.
26
Let o(p) = -p**2 + 12*p + 3. Calculate the smallest common multiple of 552 and o(11).
3864
Suppose 6*n + 25 - 355 = 0. Calculate the least common multiple of 45 and n.
495
Let o be (2/1028)/((-3)/240). Let z = o + -12113/3084. Find the common denominator of -41/10 and z.
60
Suppose 18 = -3*n + 2*n. Let k be ((-1403127)/114090)/(n/(-6)). Let w = k - 2/3803. Find the common denominator of -3/8 and w.
40
Let p = -1 - 1. Calculate the lowest common multiple of 8 and (p/(-6))/((-7)/(-210)).
40
Let o(g) = g**3 + 5*g**2 - 27*g - 21. Calculate the smallest common multiple of 190 and o(-8).
570
Let x = 387/2 + -7681/40. Calculate the common denominator of x and 22/352*4 + 38/48.
120
Let p = 15545073/843004 - -5680/2887. Let w = p + 25/73. What is the common denominator of w and -119/18?
36
Let c = -24069197/77 + 312581. Let b = 138/11 + c. Calculate the common denominator of b and -49/5.
35
Let v = -66/215 - 1823/645. What is the common denominator of v and 12/(-27)*-10*16/(-10)?
45
Suppose 17*w - 935 = 697. Calculate the lowest common multiple of 40 and w.
480
Let x = 14 - -20. Suppose -4*i = -x - 10. What is the least common multiple of i and 7?
77
Suppose 90 = 6*w - 3*w. Suppose 3*o = -4*i + 132, 0 + 88 = 3*i + 5*o. What is the lowest common multiple of i and (-1)/((3/75)/((-12)/w))?
180
Suppose 3*s + 27 = -0*s. What is the common denominator of ((-184)/24)/(60/s) and -71/68?
340
Let y = 55923 + -5368489/96. What is the common denominator of 13/128 and y?
384
Find the common denominator of 28/15 and ((-38)/(-4))/((-114)/(-228)).
15
Suppose -2*q - 5*r = 1908, 0 = -4*q + q + r - 2862. Let m = -3743/4 - q. Find the common denominator of m and -14/3.
12
Suppose -5*p + 4*o + 39371 = 0, -o - 4 = -0. Let z = p + -110265/14. What is the common denominator of z and -47/16?
112
Let r(d) = 38*d + 8. Let u be r(2). What is the common denominator of -21/2 and ((-3)/2)/(u/(-133))?
8
Calculate the common denominator of 8/80 - (-598)/270 and 49/3.
54
Let z be ((-12)/(-16))/((-1)/(-72)). Find the common denominator of -29/16 and (36/(-96))/(3/z).
16
Suppose 3*w = -8 - 46. Find the common denominator of -6 - -8 - (-75)/14 and ((-9)/44)/(w/(-180)).
154
Calculate the common denominator of 85/12 and 0 + (8 - 6426/800).
1200
Calculate the common denominator of (69/9)/((-1170)/(-27)) and 22/117.
1170
Let d = 6/199 + -1833/1393. What is the common denominator of d and ((-46)/(-30))/(1/(-2))?
105
Let d(k) be the third derivative of k**4/24 + 5*k**3/3 - 26*k**2. Calculate the lowest common multiple of 22 and d(-8).
22
Let a = -13/463 + -12585/62968. Find the common denominator of a and -99/8.
136
Find the common denominator of 67/51 and (-2)/5 - 4428/2430.
153
Let m(q) = q - 1. Let p(j) = j - 3. Let u be p(9). Let i(a) = 2*a - 5. Calculate the lowest common multiple of m(4) and i(u).
21
Let b(g) = -2*g + 31. Let x be b(8). Find the common denominator of (x/(-72))/5*115 and -43/21.
168
Suppose u + q = 49, -4*u - q = -2*q - 191. What is the common denominator of -27/11 and 3/(-2) + u/58?
638
What is the common denominator of (-2)/8*(3 + 105/(-301)) and -44/5?
430
Suppose 2*g - 12 = -g. Suppose 2*j + 116 = 3*q, j = 2*q - g*j - 70. What is the smallest common multiple of q and 20?
40
What is the smallest common multiple of 165/6 + 4*7/56 and 24?
168
Let a be 2 - 5/((-10)/28). Calculate the common denominator of 5 - (122/a + -5) and 21/4.
8
Find the common denominator of -101/6 and ((-4)/50 - 63/(-350))*-53.
30
Let q = -5/47 - -4599/376. Calculate the common denominator of q and -17/44.
88
Let y = -2/1511 - 70985/24176. Find the common denominator of -13/92 and y.
368
Let s = 1156 - 1116. What is the least common multiple of 140 and s?
280
Suppose 0 = 5*c + 10, 2*x - 25 + 5 = 4*c. Let o(s) = -s**3 + 7*s**2 - 5*s - 4. Let n be o(x). What is the common denominator of -27*(5/2 - n) and -3/8?
8
Let v = -2/15669 + -767749/250704. What is the common denominator of 77/6 and v?
48
Suppose 3*i + 675 = -5*b + 6*i, 508 = -4*b - 4*i. Let q = 3530/639 - -160/71. What is the common denominator of (-8 + (-1045)/b)*2*-17 and q?
18
Let f = 1428293/156 - 322707/26. Suppose -4*z - 6518 = -6*z. Let c = z + f. Calculate the common denominator of 11/20 and c.
60
Let y(g) be the first derivative of g**3/3 + g**2/2 - 6*g + 2. Let h be y(3). Find the common denominator of -27/26 and ((-4)/h)/((-3)/4).
234
Let a = -9/13 + 641/156. Calculate the common denominator of (-10)/56 + -5 + 216/42 and a.
84
Suppose -20*q + 538 = -22. What is the lowest common multiple of 540 and q?
3780
Suppose 2*s = 2*k - 4*k + 16, 4 = -k + 5*s. Let u(n) = -15*n + k + 0*n + 3*n + 10*n. What is the least common multiple of 7 and u(0)?
42
Let z = -9 + -3. Let t = 8 + z. Let g = 8 + t. What is the least common multiple of g and 7?
28
Let q = -771793/36 + 21441. What is the common denominator of q and ((-242)/10)/(24/10)?
36
Suppose 0 = -3*h + 3*k - 297, -3*h = 4*k + 2 + 323. Let f = -148 - h. Calculate the common denominator of (6/184)/(f/750) and -15/8.
184
Let k = -35 + 39. Suppose -44 = 2*g - k*g - 5*c, -4*g - 2*c + 56 = 0. Suppose 4*w = -w + 110. Calculate the smallest common multiple of w and g.
132
Let q = -261493113563242/24044122195737 - -2092/79641879. Let w = q + 1294/119. Let x = w + -83609/71036. Find the common denominator of -95/22 and x.
308
Let d = 7 - -17. What is the smallest common multiple of 2/(-5) - 204/(-10) and d?
120
Let v be (7708/6)/((-6636)/35 + -6). Let x = v - -2/163. What is the common denominator of x and 67/6?
18
Let o be 160285/(-32880) + -1 + -1. Let r = o - 1/6576. Calculate the common denominator of r and 93/10.
40
Calculate the lowest common multiple of 160 and (100/(-5))/(21/(-126)).
480
Suppose 0 = -q + 3*q - 50. Suppose l = -2*r + 10, 3*l + 3*r - q = -l. What is the smallest common multiple of l and 6?
12
Calculate the common denominator of ((-25)/(-7))/(0 - (-90)/(-35)) and -107/12.
36
Suppose 0 = 5*t - i - 63, -3*t + i