et r be -2*((3 - 3) + 3). Suppose 10 = -k - 4*k. Calculate the common denominator of -65/6 and r*((-129)/42 - k).
42
Suppose -4 = w, 0 = -k - 5*w + 2 + 24. Suppose -k = -s + p, 4*p + 4 = -0. What is the common denominator of 79/15 and (9/s)/(12/395)?
60
Let f be 6808/(-68) + 4/34. Let a be (-206710)/33*f/(-272230). Let w = 8/3889 - a. Find the common denominator of 73/30 and w.
330
Suppose -28*r = 12 + 16. What is the common denominator of -57/14 and ((-1275)/34)/r*2/(-42)?
14
Suppose 57*g = -u + 52*g - 4, -6*u + 5*g = 129. Find the common denominator of u and ((-226)/(-76) - 1) + 0.
38
Suppose -290*q = -299*q + 1368. Calculate the lowest common multiple of 40 and 1/(-3) + q/6 + -5.
40
Suppose -28 = -y - 5*m + 34, -5*m - 198 = -4*y. Suppose -12 = -8*t + y. Calculate the lowest common multiple of t and 76.
152
Let c = 1598 - 1596. Suppose c = 34*r - 33*r. Let x = -109 + 181. Calculate the smallest common multiple of x and r.
72
Find the common denominator of 119/230 and -14 - -9 - 1 - ((-210)/32 + 1).
1840
Suppose 3 = -3*a - 3*f, 2*a + f = -0*a - 1. Suppose -2*h - 19 = -s, -3*h + 2*h - 2 = a. What is the smallest common multiple of 18/s - (-8)/10 and 6?
6
Let h = -293866/70077 - -10/3337. What is the common denominator of -41/6831 and h?
47817
Let m = -9516 - -10035. Calculate the least common multiple of m and 1384.
4152
Suppose -10*o = 5*o - 1050. Let v be 3/(-12) + (-51)/(-12). Suppose o - 2 = v*i. Calculate the lowest common multiple of 5 and i.
85
Let i be -1 + 0 + (-69)/15. Let r = i - -341/35. Let m = -9 + 31/10. What is the common denominator of m and r?
70
Let j be 0 + -4 + -1 + 10. Suppose -j*t + 1 = -24. Suppose -2*s = 3*w - 130, s + 98 = 2*w + 23. Calculate the least common multiple of w and t.
40
Let j = 3111 + -642. Let d be (-49218)/(-20) - 3/2. Let i = j - d. Calculate the common denominator of -6/11 and i.
55
Let j be 6/(-21) - 456/(-1694). Let s = 89/1936 - j. Let r = -95 + 1341/14. Calculate the common denominator of r and s.
112
Let g = 18541 + -370731/20. What is the common denominator of g and 67/114?
1140
Calculate the least common multiple of 56*-11*15/(-385) and 724.
4344
Let n(a) = -7*a + 233. Let k be n(23). Let x = 3/29 + 358/1305. Find the common denominator of x and ((-81)/(-9))/(-36) - (-610)/k.
45
Let v = 68 - 43. Let o be (0 - (-8)/3)*459/(-306). Calculate the smallest common multiple of 2/o - v/(-10) and 11.
22
Find the common denominator of 74/87 and (-197)/2610 + (-109)/(-545).
522
Suppose -4 = -w - 1. Calculate the common denominator of 185 - 181 - (1 - (-8)/(-30)) and 1/w + 108/(-8).
30
Suppose -o = m + 2*m - 4251, 3*m = -3*o + 12723. Calculate the smallest common multiple of 30 and o.
21180
Let f = 129939/1301 + 697341196/136605. Let b = f - 36440/7. Calculate the common denominator of b and 61/24.
840
Let h be 5300/72 + (2 - 3)/2. Let g = 4859/72 - h. Calculate the common denominator of g and 47/426.
1704
Let c(f) = 2*f**2 + 10*f - 160. Calculate the least common multiple of 192 and c(8).
192
Suppose 25 + 2 = 3*t - 3*r, -2*t + 3*r = -17. Calculate the smallest common multiple of 612 and t.
3060
Suppose -k - m + 3 = 0, -11 = -k + 3*m - 0. Calculate the smallest common multiple of k and 316.
1580
Let f = 1151/10 + -13547/120. Let o = 1400/43 + -6025/86. Calculate the common denominator of o and f.
24
Let j = 3253453/8 + -408379. Let v = 1686 + j. Calculate the common denominator of 19/148 and v.
296
Let w = -2066 - -2068. Calculate the lowest common multiple of 161 and w.
322
Let b = -2252191/285090 + -2/28509. Let d(u) = -10*u + 158. Let s be d(17). Calculate the common denominator of s/(-32) + ((-2450)/48)/(-5) and b.
60
Suppose -x = -3*d + 101, 4*d + x - 23 = 114. Let o(q) = -q**3 + q**2 + 11*q. Let f be o(-3). What is the least common multiple of f/(-12) - (125/4)/(-5) and d?
102
Let b(f) = 4*f**2 - 6*f + 2. Let n be b(4). Let i = n + -21. Suppose 2*j + 4*u - 14 = 42, j - 2*u - 8 = 0. What is the lowest common multiple of j and i?
126
Suppose -7*h - 1080 = 20*h. What is the common denominator of 1/288 and (188/(-192))/((-30)/h)?
288
Let g = -562/47 + -18029/658. Let p = -34/7 - g. What is the common denominator of -149/78 and p?
78
Suppose 0 = -135*p + 127*p + 72. What is the smallest common multiple of 756 and p?
756
Let y = 9/7004 - -95311/2136220. Calculate the common denominator of 119/6 and y.
1830
Let i be 5/45 + (-884)/18. Let z = -21 - i. Calculate the lowest common multiple of 42 and z.
84
What is the common denominator of 8/77 + (-12)/(-66) - (-62493)/(-165242) and 19/4?
1276
Suppose 13190 + 4866 = 2*v + 4*w, 18077 = 2*v - 3*w. Let r be (-48)/(-60) - v/5. Find the common denominator of -83/8 and -1 + (-10)/(-6) - r/(-36).
8
Let k be (-5)/(-35) - (3 - 124/14). Let d(b) = -4 - 8*b**2 + 8*b**3 + b + 3*b + 2 + k*b**2. Calculate the smallest common multiple of 58 and d(1).
232
Suppose 42*s = 43*s - w - 9, -36 = -4*s - 3*w. Calculate the lowest common multiple of 106 and s.
954
What is the common denominator of ((-4)/(-14) - 979/(-28))/3 and (195/26)/(-1 - 34/38)?
24
Let m = 21/113 + -508337/339. Let j = -1485 - m. What is the common denominator of 55/18 and j?
18
Suppose 3*i = -16*i + 3439. Suppose i*f - 132 = 177*f. Calculate the smallest common multiple of 9 and f.
99
What is the common denominator of ((-64)/(-404) + 0)*(60/5)/504 and 5/21?
2121
Let k be -12*(-1 + (-25)/15). Let t = -29 + k. Suppose t*b - 2*b - 3*z - 24 = 0, 5*z + 20 = b. Calculate the lowest common multiple of 22 and b.
330
Suppose -g - 41631 = -3*l, 19*g + 27750 = 2*l + 17*g. Calculate the least common multiple of l and 6.
13878
Let i = -9223 + 9241. What is the least common multiple of 153 and i?
306
Let h = 45633 + -22378. Let z = h + -1674463/72. Calculate the common denominator of z and -55/16.
144
Let h be (-32862)/(-30) + 4/((-12)/(-9)). Let q = -1086 + h. Calculate the common denominator of q and 15/4.
20
Let n(w) = -w**3 - 23*w**2 - 5*w - 55. Calculate the smallest common multiple of 105 and n(-23).
420
Suppose -18*g + 15 = -13*g. Suppose -25 - 3 = -3*i + c, -g*i = -3*c - 36. What is the least common multiple of i and 72?
72
Suppose -2*z = -y - 1, -3*z - 1 = -45*y + 43*y. Let s(k) = -k**3 - k + 2. Let o = 3 + -5. Calculate the smallest common multiple of z and s(o).
12
Suppose -1473 = -14*u - 1221. Calculate the smallest common multiple of u and 3268.
29412
Let a = 2017 + -1972. Calculate the lowest common multiple of 70 and a.
630
Let w = -1/22847 - -936822/2170465. Calculate the common denominator of w and 63/1045.
1045
What is the common denominator of 17/20 and (262/(-125))/(67/((-15745)/2068))?
1100
Calculate the common denominator of 5/(-3245)*(6/8)/((-3)/(-228)) and -58/177.
1947
Let a be (276119996/1770)/(182/42). Let c = a + -36000. Let l = c - 341307/15340. What is the common denominator of l and -47/6?
12
Suppose -9 - 3 = -3*t. Suppose 2*v - v - t = -4*z, -z - 2 = 0. Suppose 0 = -5*p + 3*o + 78, 5*o + 23 = 2*p - v. What is the least common multiple of p and 27?
135
Suppose 0 = -288*q + 333*q - 28800. What is the smallest common multiple of q and 128?
640
Let z(l) = -l**2 + 12*l - 21. Let w be z(10). Let i be (19/1 + w)*40/(-60). Find the common denominator of 59/18 and 1/(30/4)*745/i.
18
Let p = -2/1687 - 166457/468986. Calculate the common denominator of 50 and p.
278
Let m(g) = -2*g**2 - 91*g + 884. Let k(q) be the second derivative of -q**4/12 + q**3 + 3*q**2/2 + q. What is the smallest common multiple of m(8) and k(3)?
84
Let g(k) = 17*k**2 + 323*k + 3030. Calculate the least common multiple of g(-9) and 70.
10500
Calculate the common denominator of 114/(-40)*(-96)/(-36) and 89/692.
3460
Let f = 13 - 6. Let x = -401587/5247 + 4012/53. Find the common denominator of x and 8/f*(-27)/4.
693
Calculate the common denominator of 33/2240 and -42 + 49 + ((-1706)/256 - 1).
4480
Suppose 17*x + 28 = 18*x. Let q = 29 + -53. Let f = q + x. What is the smallest common multiple of f and 37?
148
Let y(u) = -u**3 - 36*u**2 - 6*u + 18. Suppose -8*z + 32 = -6*z. What is the least common multiple of y(-36) and z?
1872
Suppose 9*q - 6*q = 51*q - 90720. Calculate the lowest common multiple of 2268 and q.
11340
Find the common denominator of (-4 - (-1821)/453)*(-1261)/(-156) and 35/11.
6644
Let z(x) be the first derivative