7*g + 9. Let r be n(11). Let k = r - -97. Let w = -21 + k. What is the smallest common multiple of 8 and w?
8
Let u = -944056/11557 + -501801002081/231140. Let k = u - -2179394. Let p = -8331 + k. Calculate the common denominator of p and 41/22.
220
Let m be 99/(-22)*32/24. Let c(n) = n**3 + 5*n**2 - 11*n + 20. What is the lowest common multiple of c(m) and 2?
50
Let p = 1075/92 + 13/23. Let s = -1280509/24 + 53349. Find the common denominator of s and p.
24
Let o = -533 - -1099. Let y = o + -555. What is the least common multiple of 38 and y?
418
Let c(s) = s + 9. Let p be c(-8). Let g = -203710/33 + 6171. Find the common denominator of p - (3 - 214/72) and g.
396
Suppose 19 = -2*y + 47. Let f(z) = 85*z - 18. Let o be f(4). Let p = o - 314. What is the lowest common multiple of p and y?
56
What is the common denominator of 79/100 and (483/65 - 2) + (93 - 98)?
1300
Let f = -1100 - -3337/3. Suppose -2*h + 7*h + 16425 = 0. Find the common denominator of f and (2/(-15))/(144/h).
24
Let r = 105 + -107. What is the lowest common multiple of 18 and (160*16/120)/(r/(-9))?
288
Suppose -4*y - 130 = 2*a - 460, -3*y = -4*a - 220. Suppose 2*p - i - 52 = 0, 4*p - 34 - 54 = -2*i. Calculate the smallest common multiple of p and y.
240
Find the common denominator of (4/50)/((-514)/30840) and 202/178 - (0 + 1).
445
Let s = -2942 - -5258. Calculate the smallest common multiple of 6 and s.
2316
Let h = 265/17 - 1607/102. Let y = 1/797 + 16733/3188. What is the common denominator of y and h?
12
Let v = -18 - -10. Let g = v - 0. What is the lowest common multiple of 1/((-1)/3) + (-56)/g and 4?
4
Suppose 173 = 47*r - 203. Suppose -7*f = -r*f + 2. Suppose 3*l - 33 = h - 2*h, 2*l + 4*h = 22. Calculate the lowest common multiple of l and f.
22
Suppose 4*u - 166 = 18. Suppose -40 = v + 3*v - 2*o, 5*o = 4*v + u. Find the common denominator of 38/5 and (-6)/v + -1 - (-40)/12.
5
Let i(f) = 107*f**2 - 392*f + 1889. Calculate the least common multiple of i(5) and 112.
10416
Let x = 1045339/211890 + -1/14126. Calculate the common denominator of x and -14/387.
1935
Suppose 7*c + 4500 = 10*c. Calculate the lowest common multiple of c and 11.
16500
Let k be 18/12*14/3. Let f be (-733)/k - 20/(-10). Let v = 9088/91 + f. Find the common denominator of 28 and v.
13
Let a = -443/3 - -17813/120. What is the common denominator of a and 1/56?
280
Let g = -792588 + 610292629/770. Calculate the common denominator of g and 43/880.
6160
Let n be -10 + (-29)/(-3) + 170/6. Let r(b) = b**2 - b - 3. What is the least common multiple of r(-3) and 105/n*8/2?
45
Let t = -38 + 36. Let m be 113/t*179/(-30). Let w = m + -4984/15. Find the common denominator of w and -107/14.
140
Suppose 0 = 5*h - 22666 - 60904. Let r = h + -234105/14. Calculate the common denominator of r and 523/(-120) - (3 - 34/10).
168
Let q be (16/64)/(643/4). Let p = q + -24469/22505. What is the common denominator of -24/25 and p?
175
Suppose -s + 18 = -h - 17, 0 = 5*h + 20. Suppose -4*r - 5*o - s = -2*r, -3 = -o. What is the lowest common multiple of 24 and (2/(-6))/(-1 - r/24)?
24
Calculate the lowest common multiple of (-255)/(-1)*(-522)/(-783) and 68.
340
Suppose -4*p = -3 + 31, 0 = 2*q - 3*p - 417. What is the least common multiple of 954 and q?
10494
Let d = -139021 + 29194477/210. Calculate the common denominator of d and 31/126.
630
Suppose c - 46 = -n, 2*c + 13*n = 12*n + 97. What is the lowest common multiple of 93 and c?
1581
Let y be (4/5)/((-19)/(-855)). Suppose -72 = -4*z - y. What is the lowest common multiple of 4 and z?
36
Suppose 0 = 4*w - 4*x + 8, -3*w + 3*x + 18 = 6*x. Suppose p = w*p + 30. Find the common denominator of (-1)/(7/((-2485)/p)) and -101/18.
18
Suppose -2*k = 2*l - 1986, -972 = 46*l - 47*l - 4*k. Calculate the least common multiple of 160 and l.
4000
Find the common denominator of -4 + 2415/174 + -9 and ((-23)/(-30))/(14/(-126)).
290
Let p = -10 - -10. Suppose p = 5*d - 3*d - 20. Suppose 3*y + 2*y = 25. What is the least common multiple of d and y?
10
Suppose 0 = -27*y - 58 + 58. Let b = -2343 + 35126/15. Calculate the common denominator of b and (-137)/(-15) + (15 - 18) + y.
15
Suppose 3*k + k + 40 = 2*n, 67 = 5*n + k. What is the lowest common multiple of -22 - -71 - (-18)/2 and n?
406
Let u = 16872 - 506261/30. Let m = -721097/30 + 24032. Calculate the common denominator of m and u.
30
Suppose 0 = -3*t + 7*t - 16. Suppose -4*j = 4*a + 34588, t*a - 3246 - 31318 = 4*j. Let f = 69059/8 + j. What is the common denominator of f and 9/16?
16
Let g = 11953/266 + -942/19. Calculate the common denominator of g and (4437/2346)/(2/(4/(-6))).
322
Let f(k) = -k**3 - 6*k**2 - 8*k + 7. What is the least common multiple of 312 and f(-7)?
4368
Let i = 21336 - 85379/4. Find the common denominator of i and 39/2968.
2968
Let o = -194923/5 + 46313711/1188. Find the common denominator of 68/1485 and o.
5940
Suppose 0 = -30*q + 8*q + 5346. What is the smallest common multiple of 162 and q?
486
Let k = 761857/7956 + -4891/51. What is the common denominator of -43/2496 and k?
7488
Let r = -45112 - -45120. Suppose -f + 20 = -2*m - 2*m, 4*m - 4 = -f. Suppose 0*u - f = -2*u. Calculate the smallest common multiple of r and u.
24
Let x = 40 - 19. Suppose x*f - 56 = 25*f. What is the common denominator of -5 - (-2596)/224 - 4/f and 31/7?
56
Let b(q) = 3*q**2 + q - 3. Let h be b(3). Let d = -863/63 - 13/252. What is the common denominator of (2/h)/(8/258) and d?
36
Let w(z) = -z**3 + 4*z**2 + 6*z - 5. Let y be w(5). Let l(v) = -v**3 - v**2 - 8. Let m be l(y). What is the least common multiple of (30/(-8))/3*m and 18?
90
Suppose 3*u - 14 = 1. Suppose r = 20 + u. Suppose v - r = -3*p, -2*p - 3*v + 2 = -3. What is the least common multiple of 9 and p?
90
Let d(t) = 17*t**2 + 29*t**2 - 61*t**2 + t**3 + 19 - 2*t + 28*t**2. Let f = 2 + -15. Calculate the lowest common multiple of 10 and d(f).
90
Calculate the common denominator of 22/7 and ((-1)/2)/((-14351425)/(-8050)).
174713
Let s = -753/32 + 34271/1504. What is the common denominator of -55/216 and s?
10152
Suppose m = 274*p - 272*p + 190, -4*m + 3*p = -735. Calculate the least common multiple of 8 and m.
360
Let f be ((6 + -6)/2)/(-6). Suppose -3*c + 56 + 79 = f. Calculate the least common multiple of c and 10.
90
Let v(r) = 4*r - 18. Let t be (-19 + 29)*(2 - 12/10). What is the least common multiple of v(t) and 8?
56
Calculate the common denominator of 12/(-8) + (-2 - (-30)/32) and 59/72.
144
Let k = -1983 + 15779/8. Suppose 2*s - 4*s - 84 = 2*x, x + 54 = -5*s. Let t = -334/9 - x. What is the common denominator of k and t?
72
Let n(z) = -z**3 + 19*z**2 + 15*z + 570. Calculate the smallest common multiple of n(21) and 36.
36
Suppose -26*x + 21*x + 160 = 4*h, 4*x - 128 = -5*h. What is the least common multiple of x and 832?
832
Suppose 1133 + 2506 = 34*p + 375. What is the smallest common multiple of 20 and p?
480
Let b = -423109/200 + 2115. Find the common denominator of 89/400 and b.
400
What is the least common multiple of 1157 and -1*-6*(-4 - -6) - (-16 + 22)?
6942
Suppose 187 = -16*p + 1083. What is the common denominator of -109/30 and p/(-245)*(-132)/(-144)?
210
Find the common denominator of (131/(-8) + 9)*1 and 37/11558.
46232
Let c be (1 + 1)/((-94)/98 + 1). What is the least common multiple of -3 + c/17 + (-208)/(-34) and 24?
24
Let l = -89 - -149. Suppose -l = -3*r - 18. Calculate the least common multiple of r and 4.
28
Find the common denominator of 31/225 and (-2407)/(-1885) + 12/(-15).
2925
Let s = 18248 - 2226277/122. Let y = -201 + 1874/9. Calculate the common denominator of y and s.
1098
Suppose 12 + 14 = 4*n + 2*z, 4*z = 4. Let m = -56 - -57. Calculate the least common multiple of m and n.
6
Let i = 176 - 186. Let k(a) = -a**3 - 8*a**2 + 19*a + 2. What is the least common multiple of (-45)/(-6)*16/10 and k(i)?
12
Let f(z) = 136*z. Let k be f(1). Let u = k - -14. Let l = u + -147. Calculate the least common multiple of 13 and l.
39
Let b(m) = -338*m + 3. Let y be b(-2). Let k = -646 + y. What is the lowest common multiple of k and 4?
132
Suppose -4*k + 2*d + 1288 = 0, 208 + 1092 = 4*k + d. Calculate the smallest common multiple of 14 and k.
2268
Calculate the common denominator of -49/78 and -47*13*(-3)/(-156).
156
Let x = 1255/3 + -3363/8. Calculate