6.
138
Suppose 19*p = 2331 - 811. Calculate the least common multiple of 70 and p.
560
Suppose 5*g + 12 + 13 = 0. Let o = -13 - g. What is the common denominator of 67/12 and 11/33*219/o?
24
Suppose -5*p = -2*q + 61, 3*p + 4*q = 2*p + 1. Let v(z) = -z**3 - 11*z**2 - 2*z - 15. What is the least common multiple of 1 and v(p)?
7
Calculate the common denominator of 131/60 and ((-2)/3 + 0)*(-2412)/(-10176)*2.
3180
Let k = -323 + 329. Let i(g) = -4*g + 15. Let o be i(-7). Suppose m - 4*z = -m + 38, -2*m + 5*z = -o. Calculate the least common multiple of k and m.
18
Suppose 29*d - 4056 = 42*d. Let i = -274 - d. Let s = -10 + 18. Calculate the smallest common multiple of i and s.
152
Let q be 4163/(-1089) + (-1 - -3). Let o = 5890/17061 - 58/141. Let z = q + o. Find the common denominator of -16/9 and z.
9
Let t(z) = -z**3 - 33*z**2 - 32*z + 210. Calculate the smallest common multiple of t(-32) and 28.
420
What is the smallest common multiple of (3 + 2 + -1)*((-1833)/(-13) + 11) and 114?
1824
Suppose -3471*r - 3*s = -3467*r - 120, -4*s - 62 = -7*r. Let w(x) = 18*x. Calculate the least common multiple of r and w(2).
36
Let h = -224 + 225. What is the common denominator of -1*h - ((-3256)/(-192))/11 and -41/36?
72
Let s be ((-668887)/18 + 2)*9/30174. Let c be (-2)/(-107)*17/(-3196). Let f = c + s. What is the common denominator of 67/20 and f?
60
Let i(q) = -186*q + 5804. What is the smallest common multiple of 16 and i(30)?
224
Let q = 10168/35 - 4029923/13860. Let l = -23/134 - 4041/268. Calculate the common denominator of l and q.
396
What is the smallest common multiple of 56 and (957/(-174) - -2*1)*-16?
56
Suppose -q - 2 + 62 = 0. Let r = -3292 - -3352. What is the lowest common multiple of r and q?
60
Find the common denominator of (-5)/(-150)*(-250)/52 and -49/286.
1716
Suppose -93*i - 3191 - 197 = -247*i. Calculate the smallest common multiple of 4562 and i.
50182
Let c = 36750 + -68168. Let f = -13751 - c. Let l = f - 353437/20. Calculate the common denominator of 59/8 and l.
40
Suppose -8 = -0*t + 2*t, -4*t = 4*i + 8. Suppose i*h = 5*h - 12. Let o(w) = 5*w + 39. Calculate the least common multiple of o(-7) and h.
4
Suppose 4*q - 17242 = -16954. Calculate the lowest common multiple of 3/9 + (-52)/(-6) and q.
72
Let n = -11717 - -12857. Calculate the lowest common multiple of n and 1900.
5700
Suppose 5*o = o - 5*w - 986, -3*w - 250 = o. Find the common denominator of -7/2 and (-5)/6*(1 - o/(-16)).
8
Let n = 9436921/174 + -54235. What is the common denominator of n and 64/957?
1914
What is the common denominator of (-5)/((-37800)/(-45858)) + 6 and 187/840?
2520
Suppose -14*v + 1292 - 4652 = 0. Let t = v - -4081/17. Let f = -14/51 - t. Find the common denominator of -11/24 and f.
24
Let h = -12498 - -62492/5. Find the common denominator of h and (-14)/(-5)*245/42.
15
Suppose 40493 = -161*q + 231919 + 163579. What is the smallest common multiple of q and 48?
35280
Suppose 5*u - 16*u + 198 = 0. Let p = 112 - 52. Let h = p - 48. Calculate the least common multiple of h and u.
36
Find the common denominator of 40/2819 and (6/4 - (-1260)/(-792)) + 92/(-77).
19733
Let h be (102/15 + -7)*25. Calculate the smallest common multiple of 5*(h - (-3 - 528/30)) and 4.
156
Let z be (-3)/((-18)/16)*(-2994)/(-4). Calculate the common denominator of -23/16 and 4/22 - z/(-880).
80
Let q(l) = -40562*l + 4. Let f be q(-8). Let b be (5 - 2) + (f/15168)/(-11). Let k = b + -322/79. Calculate the common denominator of k and 17/22.
528
Let l = 60 - 118. Let y = -54 - l. What is the lowest common multiple of y and 36?
36
Let u(x) = 627*x + 3. Let n be u(-5). Let z = 25103/8 + n. Let i = 15280/2007 + -1/446. Find the common denominator of z and i.
72
Let i = 140/9 + -1765/99. Suppose -2*c - 2*g + 1778 = 0, -2*c + 5*g + 1743 = -0*c. Calculate the common denominator of i and (1 - -2)/((-153)/c).
33
Let l(j) = -37*j**2 - 11*j - 28. Let b be l(5). Calculate the common denominator of 95/234 and 9/24 + (-6318)/b.
1638
Let s be 1 - ((-535)/4)/5*19. Let f = -9947/20 + s. Find the common denominator of f and 27/10.
10
Let k = 3529467 + -116458484/33. Let c = 422 - k. Find the common denominator of 22/3 and c.
33
Let w(u) = -2*u + 3. Let c(f) = f**2 + 9*f + 21. Let p be c(-4). What is the lowest common multiple of (3 - p)/(2/15) and w(-6)?
15
Let q(p) = 5*p**2 + 4*p + 579. Let b(n) = -2*n**2 - 2*n - 289. Let u(v) = 7*b(v) + 3*q(v). Calculate the smallest common multiple of 66 and u(18).
66
Let x be 17 - ((-30)/(-9) - (-5)/(-15)). Let s be ((-60)/7*-2)/((-1)/x). What is the common denominator of (-1 - -3) + -1 + 1050/s and -97/14?
56
Let a = -17042121/145 - -117533. Let s = 15819/2320 - a. What is the common denominator of -41/12 and s?
48
Suppose -5*f = o - 1140, 0 = 2*o + 29*f - 34*f - 2325. What is the lowest common multiple of o and 147?
8085
Let q(u) = u**3 - 2*u - 2. Let j be q(2). What is the common denominator of ((-1116)/(-1296))/(1 - j) and 29/12?
36
Let r = -998081/158 - -6317. Let k = 1809/7742 + r. Find the common denominator of 59/56 and k.
392
Suppose 0 = -3*p + 4*n - 120 - 8, 0 = -2*p - n - 89. Let b = 94 - 47. Let f = b + p. Calculate the least common multiple of 15 and f.
15
Let c(g) = -g**3 + g**2 + 6*g - 4. Let x be c(3). Calculate the common denominator of 44/155 and x/(-20) + (-176)/(-540)*12.
1395
Suppose 2*a + 3*v = 164, 5*a + 3*v = 4*a + 76. Suppose 25*t - 512 = 88. Calculate the least common multiple of t and a.
264
Let b(i) = 11*i**2 - 4*i + 4. Let x be b(-3). Calculate the common denominator of x/4*(-84)/280 and (-2)/(1 - 339/303).
24
Let f = -30/1063 + 27202/813195. Let y = -57367/1530 - f. What is the common denominator of 29/16 and y?
16
Let c(p) = -p + 3. Let z = -12 - -16. Suppose -28 = z*w + 4. Calculate the lowest common multiple of 57 and c(w).
627
Suppose -88*g + 2835 = -8328 - 1861. What is the smallest common multiple of 888 and g?
888
Suppose -15 = -3*z, -3*f + 93 - 48 = -3*z. Calculate the lowest common multiple of f and 570.
1140
Let f = -452/41 + 32828/2829. Find the common denominator of f and 119/6.
138
Let y = -15009/40 + 2983/8. Calculate the common denominator of ((-4)/(-30))/(4/348) and y.
20
Let g = -2058 + 16551/8. Calculate the common denominator of -111/3430 and g.
13720
Let a = 2929 - 2921. What is the lowest common multiple of a and 56?
56
Let d = -44779 + 1432945/32. What is the common denominator of -2 + (-314)/(-160) + 1 and d?
160
Let t = 44587 + -3566847/80. What is the common denominator of ((-1428)/128)/7 + -1 and t?
160
Suppose 6*a + 1384 = 9*a + w, 0 = -3*a - 5*w + 1376. What is the least common multiple of a and 210?
2310
Let m(i) = -220*i - 7116. What is the least common multiple of 216 and m(-33)?
432
Let y = -97 - -99. Suppose -y*a - 43 = -59. What is the least common multiple of a and 93?
744
Suppose 155*f - 5268120 = -65*f. Calculate the least common multiple of 18 and f.
71838
Let p = 3213 + -3147. Calculate the least common multiple of p and 22.
66
Let f = 4529 - 45241/10. What is the common denominator of f and -28/25?
50
Let q = -410367/70 + 5864. Calculate the common denominator of -20/259 and q.
2590
Let h(i) = 32*i + 65. Calculate the smallest common multiple of h(8) and 18.
1926
Let z = -53 + 121. What is the smallest common multiple of -6*(4/(-10) + z/(-30)) and 2?
16
Let z(j) = 152*j - 1 - 124*j - 29*j**2 + j**3 + 19. What is the lowest common multiple of z(28) and 42?
126
Let q be 3*(-8)/6*(-12)/24. Suppose 0*w + 21 = q*t + 5*w, 2*w + 42 = 2*t. Calculate the common denominator of -33/10 and 20/3 + 12/t.
30
Calculate the least common multiple of (1200/16)/(8/176) and 450.
4950
Let q = -15826 + 379895/24. What is the common denominator of 2/8 + (-2)/(-48) and q?
24
What is the common denominator of -59/60 and 3/8*(26048/(-5049))/(-32)?
3060
Suppose l + 17 = 3*q, 2*q - 3*l - 7 = 4*q. Calculate the smallest common multiple of 2 + 4 + (66 - 64) + (43 - -1) and q.
52
Let a = -208 - -248. Find the common denominator of -53/8 and (6/(-15))/(a/(-35)) + 3.
40
Find the common denominator of (-4)/(-1) - 9666/2340 and 97/3354.
16770
Let b(w) = -5*w + 5. Let r(q) = -q + 1. Let u(n) = -6*b(n) + 33*r(n). Let s be u(0). Calculate the least common multiple of (-720)/(-81) + s/27 and 8.
72
Let i be (-7480044)/79380 + -1