
Let c(s) = 8*s**2 - 2. Let d = 96373 + -96293. What is the least common multiple of d and c(2)?
240
Let x = -40102 - -4651791/116. Find the common denominator of x and 15/628.
18212
What is the common denominator of ((-5106)/25900 + (-1)/7)*-5 and 1/200?
200
Let z = -5808 - -81201/14. Suppose -3*g - 3 = 3. Calculate the common denominator of (28/30 - 1)/(g/(-171)) and z.
70
Let q = -1250 - -258. Let n = q + 2073/2. Let t = -13234 - -291087/22. Find the common denominator of n and t.
22
Find the common denominator of (-154)/(-312)*(3 - (-7)/(105/(-51))) and 139/468.
2340
What is the smallest common multiple of (-22818)/(-9) + (-29)/(-3) + (145 - 155) and 18?
15210
Suppose -2*w + 56*z - 57*z = -31, 0 = -w - 4*z + 12. Calculate the smallest common multiple of 26 and w.
208
Suppose -8*f - 3*f + 1056 = 0. What is the lowest common multiple of f and 112?
672
Let m(k) = 2*k**2 + 9*k - 20. Let j be m(-6). Calculate the common denominator of 25/44 and j/(-4) - (-80)/1408.
88
Let r = 15 - 10. Suppose -j = 4*w - 8 + 19, 3*w = r*j - 14. Calculate the common denominator of -1 + (116/(-12))/j and -11/30.
30
Suppose 5*i - 70 = -3*l, 3*l - 2*i - 62 = -3*i. Let d = 12560 - 12474. Calculate the smallest common multiple of l and d.
860
Suppose 0 = 222*z + 48*z - 106380. What is the lowest common multiple of z and 985?
1970
Suppose -4*r = 3*s + 851, 3*s - 4 = 3*r - 862. What is the common denominator of 3489/360 + 19/s and -41/58?
232
Let g be (73*-1)/(7/77) + 3. Let t = -4016/5 - g. What is the common denominator of t and 7/3?
15
Let g = 135 - 69. Let k = -128 + g. Calculate the smallest common multiple of k*(-3)/(4 - 1) and 4.
124
Let x = -177 + 314. Suppose 2*r - x = t, r = 3*r - 3*t - 147. What is the lowest common multiple of 60 and r?
660
Let x = -515850 - -509659741/988. What is the common denominator of -43/2 and x?
988
Let c = -10 - -13. Let j = 65 - 38. Suppose -2*i - 4*o + 5 + j = 0, 4*i + c*o = 44. What is the smallest common multiple of i and 14?
56
Suppose 30*d = 26*d + 8, -5*u - 5*d = -19830. Let p = -23725/6 + u. Find the common denominator of 23/2 and p.
6
Let r = 32630 - 30257. What is the lowest common multiple of r and 126?
14238
Let s = 22306 + -22291. Let d(p) = 8*p - 2. What is the least common multiple of d(4) and s?
30
Let k = -2184 - -2234. What is the smallest common multiple of -1 + 7 - (-4)/(-2) and k?
100
Let r = -398 + 1243/3. Find the common denominator of r and 0 + 0 - 480/(-640)*(-48)/14.
21
Let c(x) = 12*x**3 + 4*x**2 - 3*x. Let z be c(2). Suppose -5*y = 2*v - 62, -y - z = -4*v - 2*y. Calculate the least common multiple of 14 and 2/13 + 48/v.
14
Suppose -z + q + 3 = 0, 0*q - 5*q = 0. What is the common denominator of ((-171)/330 - 3) + z and -133/18?
990
Let y = 23114505/184 - 125622. What is the common denominator of (-965)/180 + (-3)/((-54)/24) and y?
1656
Let m = 11182 + -525565/47. What is the common denominator of 61/2 and m?
94
Suppose -153 = -15*n - 18. Let y(i) = i. Let v(j) = j - 3. Let o(c) = -v(c) + 2*y(c). What is the lowest common multiple of n and o(7)?
90
Let n(s) = -s**2 + 49*s - 420. What is the least common multiple of 20 and n(31)?
1380
Let p(w) = 11 - 12 + 33 + 9 - 18*w + w**2. Suppose b + 3*h - h - 14 = 0, 2*h - 2 = b. What is the smallest common multiple of p(16) and b?
18
Suppose 0 = -65*k + 62 + 198. What is the lowest common multiple of 2504 and k?
2504
Find the common denominator of -77/10 and 29/(-174)*(-279)/(-15).
10
Suppose 3*r + 13 = -4*w, -5*r + 5*w + 17 = -8. Calculate the lowest common multiple of 209 and r.
209
Let w(f) = -f**3 + 50*f**2 - 37*f - 351. Calculate the least common multiple of w(49) and 553.
1659
Let f = -276 - -277. Let k(t) = 26*t**3 - t**2 - 1. Calculate the lowest common multiple of k(f) and 36.
72
Find the common denominator of (-202)/(-54)*483/15778 and 139/18.
882
Suppose 3*v = -c + 41, v = 16*c - 21*c + 275. Calculate the smallest common multiple of c and 28.
56
Let i = 1522/99 + -4205719/273636. Calculate the common denominator of i and 79/4.
2764
Let b(j) = -j**3 - 9*j**2 - j - 30. Suppose -12*u - 440 = -16*u. What is the lowest common multiple of b(-10) and u?
880
Let j = -4363/28152 + -10/391. Let l = -3470/81 + 112147/2592. Calculate the common denominator of j and l.
288
Suppose -4*x + 9 = -3. Let h(n) = 5*n**2 - 97*n - 34. What is the lowest common multiple of h(21) and x?
402
Let r(n) = n**3 - 7*n**2 + 5*n - 6. Let p be r(5). Let l = p + 47. Let x(w) = w**3 - 12*w**2 + w. Calculate the smallest common multiple of l and x(12).
48
Let o = -42712 + 42752. What is the least common multiple of o and 384?
1920
Suppose 0 = 4*r - 16, -2*r - 60 + 268 = 5*m. Let f = m - 38. Suppose y - f*y - 5*p - 3 = 0, -2*p = -y + 32. Calculate the smallest common multiple of 24 and y.
264
Suppose 10*l = -131 + 721. Suppose l*t = 53*t + 90. Calculate the least common multiple of 12 and t.
60
Suppose 6*k - 84 = -42. Let p = k - 10. Calculate the common denominator of ((-9)/12)/p*504/39 and 20/9.
117
Suppose -11*x + 490 - 292 = 0. What is the least common multiple of x and 15?
90
What is the common denominator of -55/358 and ((183/(-30) - -6) + (-3)/(-15))*113?
1790
Let r be (-6)/15 - (-138)/(-5). Suppose 4177*w - 4199*w = -1078. Let f = w + r. Calculate the smallest common multiple of 48 and f.
336
Let z = -78090 + 8433817/108. Find the common denominator of -137/60 and z.
540
Let v = -33/2792 + 8449/20940. What is the common denominator of -9/610 and v?
7320
Let g = -5228422/117 + 44687. What is the common denominator of 278/91 - 4/14 and g?
117
Suppose 21*x = 7*x + 30055 + 103547. Calculate the smallest common multiple of x and 21.
66801
Let z(j) = 12*j**2 - 211*j + 630. What is the least common multiple of (((-2)/2)/1)/((-13)/273) and z(3)?
105
Let w(n) = 2*n**2 - 70*n + 531. Calculate the lowest common multiple of 682 and w(8).
6138
Let t be 20/(-3)*-5*3/(-10). Find the common denominator of (-156)/(-13) + t - 15/(-22) and 0 - (0 + 1/(-4)).
44
Suppose 9*h = -6*h - 9*h. Suppose h = -29*g - 13*g + 630. Let a(v) = 4*v. What is the smallest common multiple of g and a(3)?
60
Let o = 271 + -754. What is the common denominator of (o/(-6) + -1)*1/(-12) and -13/7?
56
Let j = 23860 + -23838. Let g(s) = s**3 + 11*s**2 + 8*s - 10. Calculate the lowest common multiple of j and g(-10).
110
Let w(u) = -109*u - 2820. Calculate the smallest common multiple of w(-30) and 2475.
4950
Let t = -1/4991 - -37077/4991. Calculate the common denominator of t and -67/7790.
54530
Calculate the lowest common multiple of 77 and -5 + (229 - ((7 - 9) + 9)).
2387
Let z = -38918 - -15737. Let j = 741701/32 + z. Calculate the common denominator of j and 11/12.
96
Let h be 0 + 5 + -2 + (3 - 6). Suppose h*w - 38466 = 2*w. Let k = w + 634631/33. Find the common denominator of 7/18 and k.
198
Let l = 3665/6252 + -3/1042. Let p be 32*(-2 - 7484/(-4488)). Let c = p + 152/17. Find the common denominator of c and l.
132
Suppose -6 = 3*p + 6, 4*s = 5*p + 28. Let d = -424 - -668. What is the common denominator of 3 + (d/(-24) - s) and -97/10?
30
Let z be (-85)/(-25) - (-2)/(-5). Suppose -7*b - z = 18. What is the common denominator of 21/10 and b/((-36)/158)*2/4?
60
Let o = -449723847/55 + 8165700. Let x = 11098 + o. Find the common denominator of 119/20 and x.
220
Let x be 24/16*(-2)/3. Let b be 224180/616 + x/(2/4). Let p = -361 + b. What is the common denominator of p and 109/36?
252
Let y = 76/553 - -20037/67466. Calculate the common denominator of y and 73/68.
4148
Find the common denominator of -41/3438 and (-14445)/(-16044) + (1188/154)/(-9).
6876
Let d(q) = q**2 + 7*q + 181. What is the least common multiple of 108 and d(16)?
6588
Let z be (-73 - 273)*-34*1/(-616). Let u = z + 170/11. Find the common denominator of u and 49/764.
5348
Let h(d) = -6*d + 42. What is the least common multiple of 6 and h(-82)?
534
Find the common denominator of (-24 - -12) + 5 - (-2545)/300 and -27/8.
120
Let j = 331 + -318. Suppose 12*o = 5*o + 35. What is the lowest common multiple of o and j?
65
Calculate the common denominator of (-69)/(-65)*1170/4212 and 57/26.
78
Let n(r) be the third derivative of 0 + 0*r + 44*r**2 + 1/60*r**5 - r**3 + 5/24*r**4. What is the least common multiple of n(5) and 2?
44
Suppose 25*a = 22*a + 21. Suppose 3*