Calculate the smallest common multiple of r and 20.
180
Let b(h) = 2*h**2 - 6*h - 12. Let a be b(6). Suppose -1164 - 852 = -a*s. What is the smallest common multiple of 12 and s?
84
Let b = 87607/252092 + -129/589. Find the common denominator of -91/428 and b.
428
Let u be 585/(-312) - ((-27)/(-24) + -1). What is the common denominator of 0 + 0 + (-210)/44 and (-100)/(-45) + u - (-94)/(-36)?
198
Suppose -18*l - 4613 = -581. Let c = l - -278. Calculate the lowest common multiple of 9 and c.
54
Let i = -577964137/806 + 717077. Find the common denominator of -5/156 and i.
4836
Let x = 3/7 + -151/42. Let q = -7489411/146 - -51298. Calculate the common denominator of x and q.
438
Let u be 0/4 - (-589 - 0 - 4). Let q be 2/4 + (-1160)/(-2). Let f = q - u. What is the common denominator of f and -53/4?
4
Find the common denominator of 52/15 and 8/1 + 96/80.
15
Let n = -2/4375273 - 5648476867/1260078624. Let s = n + -13/32. Let y = -118/95 + 130/19. What is the common denominator of y and s?
45
Suppose 5*t - 5*u + 70 = 0, -3*u - 24 = 4*t - 3. Let c(z) = -z**3 - 8*z**2 + 7*z - 2. What is the least common multiple of 16 and c(t)?
16
Let t = -36 + 576. What is the common denominator of ((-33)/(-8))/((-81)/t) and -137/18?
18
Let c(s) = -s**2 + 4*s + 2. Let a be c(4). Suppose 0 = -a*x + 13 + 23. Suppose 20*t - 27 = 413. What is the lowest common multiple of t and x?
198
Let c = -468619441/1224 + 382859. Find the common denominator of 43/204 and c.
1224
Suppose 7*l = 66 - 40372. Let i = -103591/18 - l. Calculate the common denominator of (261/18)/(-163 + 0) and i.
2934
Find the common denominator of (-1)/((-10)/(-59)) - (14 + -10) and (41 - -72)*2/40.
20
What is the common denominator of 146/(-40)*((-1870)/210 + 9) and -71/840?
840
Let c = -2586 - -93083/36. Let z = 153557/70644 + -96/841. Calculate the common denominator of z and c.
252
Find the common denominator of 79/2 and (1909/(-161))/(7/((-98)/36)).
18
Let g = 9615266/2387 + -28198/7. Let k = g - -14521/5115. Find the common denominator of k and -51/20.
60
Suppose -y - u = -0*y, 3*y - 2*u = -20. Let i = -1867/4059 + 2/369. Calculate the common denominator of i and (y/(-6))/(32/(-138)).
88
Calculate the smallest common multiple of 77 and 18*(12*132/54 + 0).
3696
Let a be (-20)/(-110) - (-4)/(-22). Suppose a - 6 = 6*n. Let i = 9 + n. What is the lowest common multiple of i and 8?
8
Let o(s) = 39*s**2 + 9*s - 4. Let c be o(4). Let d = c + -481. What is the lowest common multiple of d and 2?
350
Suppose -20*g + 10 = 2*q - 16*g, 5*q = -5*g + 10. Suppose -2 - 2 = -4*h. What is the smallest common multiple of 21 and h*(17 - q)*(-18)/(-12)?
189
Let b = -251/212 + 23/53. What is the common denominator of b and -23/7018?
14036
Suppose -u + 346 = 4*f, 651*u - 648*u - 5*f = 970. What is the least common multiple of u and 450?
4950
Let z(w) = 14*w**3 - 2*w**2 + 7*w + 1. Calculate the lowest common multiple of 76 and z(4).
3572
Suppose 149*o - 147*o - 48 = -5*j, 66 = 4*o + 5*j. Calculate the least common multiple of 870 and o.
2610
Suppose 5*b - 22 - 13 = 0. Suppose -45 = b*d - 10*d. What is the smallest common multiple of d and 20?
60
Suppose -4*w + 98 = 2*k - 3088, -2*k = -6. What is the smallest common multiple of w and 159?
795
What is the common denominator of -14 + 3 - (-22 - (-45239)/4332) and 11/9?
684
Let y be 587067664/(-233415) + (108/(-30))/9. Let f = y + 32702/13. Let c = f + 3/133. Calculate the common denominator of -137/30 and c.
270
Calculate the common denominator of 61/33 and (-3400)/(-25857) - (28/(-36) - -1).
5577
Let l be (2 + (-40546)/(-14))*-1. Let u = 2904 + l. Let y = -7283/3 + 859445/354. Calculate the common denominator of u and y.
826
Let c = -16762 + 17554. What is the smallest common multiple of c and 504?
5544
Let p = 268154 - 63284445/236. Calculate the common denominator of 2499/(-126) + (-2)/(-6) and p.
236
Suppose 3*q + 3*x - 3 = 0, -6*q + 5*x = -5*q + 17. Calculate the common denominator of (1 - 51/(-33))/q and 7 + -2 - 6478/(-492).
66
Suppose 0 = 9*b - 3*b - 6. Suppose -n = -3*l + 1, 0 = 2*n - 5*l - b. Calculate the least common multiple of n and (0 + 1)/(18/36).
8
Let m be (78/20)/((-360)/(-456675)). Let n = -4950 + m. Calculate the common denominator of -103/48 and n.
48
Let g = 32719/8628 + -3/5752. What is the common denominator of g and -85/792?
792
Suppose 13776*p - 13736*p = 23240. What is the smallest common multiple of 1909 and p?
13363
Let u = 27 + -23. Suppose 5*c - 25 = 0, -f - u*f = 5*c - 615. Calculate the smallest common multiple of 48 and f.
2832
Let b(l) = l**2 - 18*l + 3. Let x be b(18). Suppose -x*s + 40 = 2*s. What is the smallest common multiple of (32/7 + (-68)/119)*4 and s?
16
Let y = 4865/3 + -1637. What is the common denominator of -49/1161 and y?
1161
Let j = -32989 - -33003. Let u = 12 + -11. What is the least common multiple of j and u?
14
Let q be (7 - 4)/(-9) + 5/87. Let h = 979/1131 + q. What is the common denominator of -91/30 and h?
390
Suppose -1123631 = 113*q - 3204413. What is the smallest common multiple of 6 and q?
18414
Calculate the smallest common multiple of (18/8)/(14/(112/57) - 7) and 2523.
15138
Let y = -4076 + 12280/3. Calculate the common denominator of -149/8748 and y.
8748
Let b(y) = -y**3 - 14*y**2 - 2*y - 25. Suppose 5*a - 19 = -89. Let s be b(a). What is the common denominator of -97/12 and s*-1*(-36)/(-162)?
12
Suppose 3*c = 29 + 43. Let s = c + -26. Find the common denominator of 10/s*1/(-36)*2 and -63/20.
180
Let t = 260/77 - 1/616. Let z = 3158/27 + -117. Find the common denominator of z and t.
216
Suppose -4*l = -l - 48*l + 13230. Calculate the least common multiple of l and 88.
12936
Suppose -5*l = -4*a - 482 + 65, -5*a - 555 = 5*l. Calculate the common denominator of (-143)/((35/(-15))/((-3)/a)) and 167/84.
84
Let h be 41*(-1 + 3)*(-42)/(-84). Suppose -484 = -52*w + h*w. Calculate the least common multiple of 76 and w.
836
Let w(o) = -2*o**2 - 99*o + 57. What is the least common multiple of w(0) and 48?
912
Let k(n) = -3*n**3 - 51*n**2 + n + 39. What is the lowest common multiple of (2 - (-405)/5) + 3 and k(-17)?
946
Suppose -16*o - 12 = -19*o. Suppose -o*b + 357 = 69. Suppose -12*l + 9*l = -b. What is the lowest common multiple of l and 20?
120
Suppose -5*j = -3*h - 1632, 11*j + 60*h - 3654 = 56*h. What is the smallest common multiple of 50 and j?
1650
Find the common denominator of (2/(-8)*-6)/3 + 16/105 and -73/175.
1050
What is the common denominator of -119/870 and 1/13 - (-91777)/(-406406)?
9570
What is the common denominator of 97/60 and 1/(-240)*-122*2/(-5)?
300
Find the common denominator of ((-756)/(-2790))/(64/(-20))*-2 and (-2)/(-7) + 467/56.
248
Let s(h) = -2*h**3 - 45*h**2 - 63*h + 68. What is the lowest common multiple of 2408 and s(-21)?
40936
Let u be (1 - 23)/(30/(-4725)*-15). Let a = u + 255. Calculate the least common multiple of a and 90.
360
Suppose 5*s - 2*p = 14, -2*s + 4*p = -280 + 268. Let t = 4 - 3. What is the smallest common multiple of 4 + 0/(t + -2) and s?
4
Let f = 39 - -116. Suppose 21*h - 61 + 9 = 8*h. What is the smallest common multiple of h and f?
620
Let f(o) = -20*o + 3. Let w be f(17). Let v = 387 + w. What is the smallest common multiple of v and 30?
150
Let w = 164398/106645 - -4/3047. What is the common denominator of 310/(-1860) - (-278)/1380 and w?
805
Let w(k) = 271 + k**3 - 8*k**2 - k + 2*k**2 - 264. Let j be w(6). Suppose -5*u + 4*l = -86, j = 2*l - 1. Calculate the common denominator of -41/5 and u.
5
Let q be (8 - -2)*(-26)/(-65). Let v be 1*2 - 4*q/(-16). Suppose 4*b - 29 = -3*j, -v*j = -0*j - 2*b - 53. What is the lowest common multiple of 27 and j?
135
Let w(n) be the first derivative of 7*n**4/4 - n**3/3 - 25*n**2/2 + 78*n - 74. What is the smallest common multiple of 45 and w(3)?
2745
Let d = -374 - -374. Suppose 5*u - 11*j + 14*j - 154 = d, -4*u - 2*j = -124. What is the lowest common multiple of u and 16?
32
Let f(p) = 4*p - 9. Let t(s) = 9*s - 18. Let l(i) = 10*f(i) - 4*t(i). Let h be l(7). What is the common denominator of (-3179)/(-1360) + (8/h)/(-2) and -95/4?
16
Let f = 5001355/336 - 14885. Let b = -3719/336 + f. Calculate the common denominator of ((-40)/(-112))/((-9)/(-78)) and b.
84
Let x be (-7384)/(-7)*((-10)/(-5115))/2. Let r = x - 5/682. Calculate