
Let a(n) = 2*n**2 - 22*n - 768. What is the smallest common multiple of 6 and a(-21)?
576
Suppose -5*a = 5*s - 85, -5*s + 5*a - 35 + 120 = 0. Suppose 43 = 5*j - s. Calculate the smallest common multiple of 8 and j.
24
Calculate the common denominator of 17/(680/(-96))*20/78 and 29/8.
104
Suppose 9 = 3*w, -666 = 2*j - 3*j + 2*w. Calculate the lowest common multiple of 11 and j.
7392
Suppose -48 = -2*y + 4*w, 50 = 2*y + w + 17. Let i(d) = -d**2 + 19*d - 2. Suppose -3*c + 24 = -0*c. Calculate the least common multiple of c and i(y).
16
Suppose -z + 3 - 4 = 0. Let k = z + 21. What is the least common multiple of 6 and k/12 + 1/3?
6
Suppose 10*d - 37 - 3 = 0. Suppose d*s = 2*h + 8, -5*h + 2 = -5*s + 12. Suppose 0 = -0*c + 3*c - 9. What is the lowest common multiple of s and c?
6
Let q = -72081/20 - -3601. Let m = 171427/20 + -8569. What is the common denominator of q and m?
20
Let p = -7/1703 + -529591/10218. Let n = 1681/30 + p. What is the common denominator of -7/22 and n?
110
Suppose -3*m + 12 = -0*m. Suppose 0 = m*r - 33 + 1. Calculate the least common multiple of r and -1 + -1 + 10 + 0.
8
Let z be 3*4/(-72)*33407. Let x = z - -5543. Calculate the common denominator of 6*(-20)/(-45)*4 and x.
6
Calculate the common denominator of (-2159)/(-612) - (-2)/8 and 143/966.
2898
Suppose j + 2 = -2*z, 3*z + 4 = -3*j - 2*z. Suppose 2*b - y + 42 = 0, b = -4*y + 2 - 5. Let h(s) = -2*s - 27. Calculate the least common multiple of h(b) and j.
22
What is the smallest common multiple of 8 and -16*(32 - 10)/(-1 - 1)?
176
What is the common denominator of 7/276 and (-114)/76*178/54?
828
Let g be 2/(-3)*18/(-12). Let j be 8*(g + -2)/1. Let p(l) = -l**3 - 7*l**2 + 6*l - 11. Calculate the lowest common multiple of 1 and p(j).
5
What is the common denominator of (-2 + 0)/(-2) + (-2752)/4257 and -29/11?
99
Let j(g) = g**3 + 9*g**2 + 8*g + 4. Let l = -16 + 8. Let m be j(l). What is the common denominator of 5*(10/m)/5 and 87/2?
2
Let u be (0 + -7)*(-2)/1. Calculate the lowest common multiple of 4/(u/3 - 4) and 4.
12
Let r(l) be the third derivative of l**6/120 - l**5/20 + l**4/6 - 4*l**3/3 + 4*l**2. Calculate the smallest common multiple of r(4) and 10.
120
Let a(h) = 2*h**2 + 1. Let w be a(1). Suppose 0 = j - 6*j. Suppose -w*b = -j*b - 6. Calculate the least common multiple of b and 18.
18
Suppose -2*g - 5*b = -12, -4 = -4*g - 6*b + b. Find the common denominator of (-10)/(1800/42)*70/g and -43/36.
36
Let n = -3815322 - -45917269/12. Let d = -11127 + n. Find the common denominator of -35/8 and d.
24
Suppose 4*v - 6*v + 102 = 2*w, -45 = -w + 5*v. Calculate the smallest common multiple of w and 5.
50
Find the common denominator of (-422)/(-128) + -2 - (2 + -1) and 131/30.
960
What is the common denominator of 103/38 and (-52)/(-182) - (7748/2128 + -2)?
76
Let b = -5454 - -60033/11. Calculate the common denominator of b and ((-16564)/(-120))/41 + (-2)/(-6).
110
Let w = 12575 + -2942. Let g = -96443/10 + w. Find the common denominator of ((-2)/32)/((-2)/(-108)) and g.
40
Let g be 0 - 162/((-42)/19 + 2). Let v = g + -795. What is the common denominator of 38/3 and v?
6
Find the common denominator of -5/48 and (1/63)/((-306)/(-40341)).
432
Let p be ((-40)/(-15))/(4/6). Calculate the common denominator of (3/((-42)/(-82)))/(37/37) and 306/(-22)*p/12.
77
Suppose 0 = -a - 21 - 62. Let q = -14 - a. Calculate the least common multiple of 1 and q.
69
Let o(k) = 2*k**3 + k. Let v be o(1). Suppose 58 = 5*r - 0*g - v*g, 3*g = 4*r - 44. What is the lowest common multiple of 20 and r?
140
Suppose 35 = -4*g - g. What is the common denominator of ((-3)/4)/(12/110) and (2/4)/(g/106)?
56
Let s be (-1)/(((-16)/4)/92). Let h = -27 + s. Calculate the common denominator of -16/3 and (-13)/(2*8/h).
12
Let j(h) = 2*h**3 - 3*h**2 + 3*h - 2. Suppose 2*d = 4*p - 12 - 18, -5*d = -p + 30. Let k = p - 3. What is the lowest common multiple of j(2) and k?
8
Let q be 38/6 + (-4)/3. Suppose r + 3*n = 2*r - 24, -q*n - 82 = -4*r. Calculate the common denominator of (-2)/(32/(-210)) + -1 and r.
8
Let n = 14 - -2. Let o = -23 + 27. What is the smallest common multiple of 7 - -7 - o/(-2) and n?
16
Suppose 49*p = 36*p + 91. Suppose 3*j = 6*j. Suppose k + k - 2 = j. What is the least common multiple of k and p?
7
Let u = 68147/22302 + -1/11151. Let v = -23 - 17. Find the common denominator of u and (-16)/v + 178/80.
72
Suppose 3*p = 4*f + 49, 0 = p + 36*f - 39*f - 18. What is the smallest common multiple of ((-30)/(-8))/(9/24) and p?
30
Suppose -9*z = -4*b - 1906 - 594, -20 = -4*b. Calculate the least common multiple of z and 44.
3080
Let o = 5213/10 - 532. Find the common denominator of -53/112 and o.
560
Let q(s) = s - 9. Let l be q(11). Suppose -h - 2*f - 2232 = 0, h + 2235 = l*f - f. Let a = h + 20147/9. Calculate the common denominator of 40/7 and a.
63
Let r be (-500)/75*11/4*6. Let g = r - -130. What is the least common multiple of g and 28?
140
Let j(l) = 102*l - 23. What is the least common multiple of 3 and j(2)?
543
Let n(v) be the second derivative of 13*v**4/12 - v**3/3 - v**2/2 - 4*v. Calculate the smallest common multiple of n(-1) and 18.
126
Let b(o) = -741*o + 9. Suppose -3*t + 9 = -4*t. Let k be b(t). Let s = -40159/6 + k. Calculate the common denominator of s and -75/4.
12
Suppose 6*z = 2*y + z + 5, 5*y + 4*z - 4 = 0. Let g = -2 - y. Calculate the smallest common multiple of ((-40)/(-24))/(g/(-18)) and 8.
120
Calculate the least common multiple of (-66)/(-44) - (-29)/2 and 32.
32
Let u = -4671 - -121473/26. Let a(o) = -o - 14. Let z be a(-4). Find the common denominator of u and 2 + -3 + -2 + 345/z.
26
Let n = 692/9 - 622/9. Let p = -1224353617/239230 + -160/23923. Let r = p + 5110. Find the common denominator of n and r.
90
Let c = 1 - -24. Calculate the common denominator of (-218)/(-27)*9/12 and (1/c)/(4/190).
90
Suppose -v = 87 - 131. What is the smallest common multiple of v and 12?
132
Let k(m) = 1535*m**2 + 2*m - 1. Let t be k(-3). Suppose -8*l + 6*l = -t. Let w = l - 55311/8. What is the common denominator of -101/6 and w?
24
Let y(r) = r**2 - 16*r - 21. Let x = 16147/70 + -1530/7. What is the common denominator of x and y(15)?
10
Let u(v) = -v**2 + 12*v + 30. Let t be u(14). Let n = -3 - -2. Calculate the least common multiple of (-8 - t)*n/2 and 4.
20
Suppose 2*i = -5*n + 54, -4*n + 8*i + 30 = 3*i. Let s = -3321 - -3347. Calculate the lowest common multiple of n and s.
130
Suppose 0 = -3*g + 29*g - 858. Calculate the smallest common multiple of 243 and g.
2673
Let j = 12182836/7 - 1731767. Let y = j - 8556. Let a = y - 2448/35. Calculate the common denominator of a and -12.
5
Let w(s) = 2*s + 13. Let i be w(-8). Let a = -173/3 + 415/6. Calculate the common denominator of a and 24/18 + (-1)/i.
6
Find the common denominator of 118/(-3)*8/(-96) and 195/1938 - 50/(-475).
306
Let w = -2939/38848 + -3/1214. Calculate the common denominator of w and 71/456.
3648
Let k be -1*(-1 + 2) - -49. Suppose 2*n + u - 2*u + k = 0, -5*u - 60 = 2*n. Let w = n - -31. What is the least common multiple of 1 and w?
6
Suppose -n + 23 + 98 = 4*y, -y + 548 = 5*n. What is the common denominator of -1/4 and -2 - (n/(-30) - (1 - 2))?
60
Let y = 44589159/1868 - 23870. Let d = -33631/13076 - y. Calculate the common denominator of d and -39/5.
35
Let s = 5/218 - 1019/63438. Let b = s - -251/5820. What is the common denominator of b and -71/28?
140
Let o = 552488/45 - 12277. Find the common denominator of -39/85 and o.
765
Let b(o) = o + 15. Suppose 3*l + 0 + 27 = 0. Calculate the least common multiple of b(l) and 9.
18
Let g = 3696 - 299366/81. Find the common denominator of g and 20/63.
567
Let h be (-4)/(-3034192)*-3*-1972134443. Let v = 23/108364 + h. Let q = 7795 - v. What is the common denominator of -95/4 and q?
28
Suppose 34157 = 29*o + 6201. What is the least common multiple of o and 4?
964
Calculate the common denominator of (47/8 + -3)/(-2) and (-2)/12 - 275/99.
144
What is the common denominator of 370/(-130) + 3 + (-1100)/3939 and 179/30?
3030
Let z(x) = 9*x + 4. Let v(o) = -16*o. What is the least common multiple of z(0) and v(-2)?
32
Suppose -2 = i - 4*c, -7*i - 6 = -9*i - 2*c. Calculate the least common multiple of 11 and i.
22
Let g be 7*1*24/(-7). Let r be -56*(-4)/(g/(-789)). Let i = 58995/