 -9)/9.
1296
Let q(n) = -3*n**3 - 10*n**2 - 2*n + 8. Calculate the smallest common multiple of q(-4) and 4.
48
Suppose 2*x - 204 = -4*b, 53*x - 4*b + 308 = 56*x. What is the lowest common multiple of x and 13?
104
What is the lowest common multiple of 32 and -2*7/(-10) + (-1308)/180*-51?
2976
Let z(n) = -5*n**3 + 9 - 6*n + 3 - 9 + 5*n**2. Let u be z(2). Let y = u - -84. What is the smallest common multiple of y and 1?
55
Let y = 930 + -2737/3. Find the common denominator of y and (-18)/189 + (-202)/280.
60
What is the common denominator of 127/154 and (-452*16/(-128))/((-14)/(-1))?
308
Let u(i) = -2*i**2 - 16*i - 12. Let p be u(-7). Suppose -9 = r - p*r. Let f = -24 + 26. Calculate the least common multiple of f and r.
18
Let s be (44914/153)/((-3)/6). Let t = -587 - s. Find the common denominator of -61/2 and t.
18
Let o be 1*(-1 - 2) - (-16006182)/(-3576). Let k = -4479 - o. Let j = -17583/596 + k. Find the common denominator of j and 85/18.
18
Let j(l) = -75*l + 3. Let x be j(-14). Suppose 9*a = -4*a - x. Let z = a + 724/9. Find the common denominator of z and -53/3.
9
Let t = 117017/55 - 2128. What is the common denominator of t and -33/685?
7535
Suppose -274*q = 838 - 5222. Suppose -5*g = -8 - 32. Calculate the lowest common multiple of g and q.
16
Suppose 2*q - k = 278, 5*q - 18*k - 686 = -20*k. Suppose -3*u + 6 = 4*t - 110, 3*t + q = 4*u. Calculate the lowest common multiple of 16 and u.
144
Let n(p) = -p**2 - 12*p - 23. Let h be n(-6). Suppose 5*c - 18 - 9 = 3*z, z - 3*c = -h. What is the lowest common multiple of 1 and ((-1)/(2/z))/(13/52)?
8
Let t(h) = h**3 + 6*h**2 + 8*h + 52. Let q be t(-8). Calculate the common denominator of (-2685)/q - (-3 - 24/(-7)) and -83/4.
4
Let u = -5929 + 7595. Calculate the least common multiple of 196 and u.
3332
Let l(h) = h**3 - 9*h**2 + h - 2. Let x be l(9). Suppose -x*r + 253 = -167. What is the smallest common multiple of r and 110?
660
Let g be -1 + 2445747/657396 + -4. Let i = g + -15/2029. Calculate the common denominator of -55/18 and i.
108
Let v = 337 + -334. Suppose -2*h + 7*h - 1883 = v*z, -756 = -2*h + 4*z. What is the smallest common multiple of 10 and h?
1880
Let g = -191 - -200. Let d(f) be the first derivative of -f**4/4 + 3*f**3 + f**2 + 20*f - 2. Calculate the smallest common multiple of 22 and d(g).
418
Suppose 472 = 6*x + 4. What is the least common multiple of (x/(-12) + 5)/(3/(-6)) and 75?
75
Suppose 0 = -k - 5*c + 334, 2*c = 4*k + 3*c - 1412. Let o be (-4227)/(-12) + 2 - 2. Let d = k - o. What is the common denominator of -43/4 and d?
4
Let r = -51 + 55. Suppose 5*w - 100 = 5*m, -r*w - 2*m + 80 = -4*m. What is the least common multiple of w and 4?
20
Find the common denominator of (2/1780)/(67/4154) and 43/10.
890
Calculate the common denominator of 59/214 and (6/(-19260))/(11 - (-26429)/(-2405)).
1284
Let i = 5147 + -46339/9. Suppose -2*h - 4*g - 2156 = -198, -h = -5*g + 951. Let u = 1889/2 + h. Calculate the common denominator of i and u.
18
Let l(u) = -3*u + 8. Let x be l(4). Let c be (-391)/7 - x*(-2)/56. Find the common denominator of -57/5 and (-21)/c*188/15.
10
Suppose 18*j - 1538 = 100. What is the smallest common multiple of 35 and j?
455
Let j = 469 - 471. Calculate the common denominator of 2 + 3/j - (-174)/(-3045) and 93/70.
70
Let t = -12 + 15. Let i = -1/268 - -12463/268. Find the common denominator of i and 2/72*-74 - t.
18
Let q be ((-23415333489)/(-26426))/(1 + 2). Let c = q - 295357. Find the common denominator of c and 63/20.
3620
Let a = -1453495901/105 + 13843015. Let v = a + -999/5. What is the common denominator of (-4)/(-10) - 4394/780 and v?
210
Let v = 30 + -65. Let r = 67/3 - 493/18. Calculate the common denominator of 8/(-16)*v/4 and r.
72
Suppose 225*d + u = 229*d - 1876, -5*u = 5*d - 2320. What is the smallest common multiple of d and 39?
468
Let q(d) = 18*d**2 + d + 1. Suppose -4*j = 3*z - 296 - 8, 3*z + 5*j = 308. Calculate the smallest common multiple of q(-1) and z.
288
Let k(a) = -3*a + 77. Let r be k(24). Find the common denominator of -91/38 and -5 - ((-23)/(-4) + r).
76
Let t = -32502 + 96148/3. Let l = 6928/15 + t. Find the common denominator of -157/30 and l.
30
Let g = 5/4 + -61/12. Find the common denominator of 1/6*(2 - (-27)/4) and g.
24
What is the common denominator of 29/38404 and ((-36)/126)/(30/1435*-6)?
345636
Let d(r) = 739*r**2 + 11*r + 10. Let t be d(3). Calculate the common denominator of -7/22 and 8/2 + t/(-1596).
8778
Let y(n) = 2*n + 38. Let m = -85 - -87. Suppose 0 = -m*w - 10 + 2. What is the lowest common multiple of 14 and y(w)?
210
Let r(c) = -3*c**2 + 72*c - 27. Let v be r(23). Calculate the common denominator of (93/(-11)*-1)/2 and ((-13)/20)/(((-27)/v)/(-9)).
110
Let b be 0 + 171721395/689150 - (-6)/(-14). Let f = 1/39380 + b. Let a = f + -1963/8. Calculate the common denominator of a and -3/4.
8
Let i = -103 + 121. What is the common denominator of -63/184 and (7/168)/(i/45)?
1104
Suppose 2062 = 3*y + 478*t - 482*t, 2042 = 3*y + t. What is the smallest common multiple of 2 and y?
682
What is the common denominator of 82/1485 and (-5353)/20790 - (1 + 3 + 92/(-22))?
20790
Let p = -1555 + 413. Let h = 9346 + -149483/16. Find the common denominator of h and (-2)/(-15) + p/(-60).
48
Let t(s) = s**2 + 4*s - 2. Let z be t(1). Suppose 48 = 6*f - z*f. What is the least common multiple of 16 and f?
16
Let v be (5918/(-33))/(3/(-72)). Suppose -4*c - v = -12*c. What is the smallest common multiple of c and 4?
1076
Let x = -16 + 21. Calculate the common denominator of (-1407)/(-120) - (-2)/x and 6/(-27) + (-2730)/(-216).
24
Let w be 4 - (4 - 7 - -7). Suppose w = 4*u + 3*s + 319, 0 = 4*u - 3*u + 2*s + 86. What is the common denominator of -151/30 and (-1 + u)/(17 + 13)?
30
Let r = -9/733 - -36025/8796. Find the common denominator of 253/28*-1 + 3 - -5 and r.
84
Suppose -31*o + 2063 - 302 = -719. Calculate the least common multiple of 1520 and o.
1520
Calculate the common denominator of 21/(-105)*-123*2/(-270) and 1 - -1 - 13/33.
2475
Let g be (-5)/((-27)/6 + 4). Suppose -12*n + 10 = -g*n. Suppose -3*p = -9, 0 = n*b + 2*p - 32 - 4. What is the smallest common multiple of b and 12?
12
Calculate the common denominator of (-19)/(-57) + ((-801)/144 - -8) and -181/60.
240
Let m = -55605947/691530 + 170746/1869. Let i = m - -17/111. Let y = 2/545 - 31129/17440. Calculate the common denominator of y and i.
160
Find the common denominator of 890/(-40)*(45/(-9))/(-120) and -167/480.
480
Let c be (1/(-243))/(5/174). Let v = -33739/23490 - c. Find the common denominator of (-363)/20 - (-12)/30 and v.
116
Find the common denominator of (8/10 + 0)*-3 and (-2)/(-16)*(-3204)/414.
460
Let f = 121 + -101. Let t = -140 - -150. What is the smallest common multiple of f and t?
20
Suppose -6*x + 78 = 24. Suppose 0 = -6238*u + 6245*u - 833. Calculate the smallest common multiple of x and u.
1071
Suppose 5*p + 3*t = -194 + 392, -5*t - 230 = -5*p. Calculate the smallest common multiple of 126 and p.
126
What is the least common multiple of 684 and (42/(-16))/((-3)/218) - 48/64?
3420
Let m = -761/20 - -37019/980. What is the common denominator of m and 103/672?
4704
Suppose -1229*b + 1242*b - 124 - 500 = 0. What is the lowest common multiple of 88 and b?
528
Let f = 23265 - 511941/22. Let i be ((-5)/(-940))/((-6)/16). Let s = -5173/3102 + i. Find the common denominator of s and f.
22
Let l(p) = -4*p**3 + 7*p**2 + 21*p + 16. Calculate the lowest common multiple of l(-8) and 293.
2344
Suppose 6 - 29 = -4*s + 3*y, -5*s = -5*y - 25. Suppose -76*j + 66*j + 20 = 0. Calculate the least common multiple of s and j.
8
Let k = 17/154 - 977/1078. Find the common denominator of k and (-903)/(-980)*3/((-18)/4).
490
Suppose -5*p = -r - 115, -r = 2*p - 31 - 22. Suppose 343*t = 334*t - 513. Find the common denominator of (4 - t/(-12)) + (-71)/p and -19/12.
24
Let c = 7092 - 5562. What is the lowest common multiple of 90 and c?
1530
Suppose 0 = -2*c + 4*a - 7*a, 0 = 2*c - 5*a - 16. Suppose 7*k - 75 = c*k - 5*q, -78 = -5*k - q. Calculate the lowest common multiple of 15 and k.
15
Let c(m) = -44304*m - 34. Let r be c(8). Let s be -2*1/(-7) - r/686. Find the common denominator of -4 + -4 + s/68 and 23.
68
Let c(x) = 3*x - 10. Suppose 0 = -z + 5*f + 1, 2*z + 3*z - 32 = 