and 4.
8
Let y be -13 + 19 - (1 + 2). Let x be (1 - (-234 + -2)) + y. Let p = x - 170. What is the least common multiple of p and 2?
70
Let h(f) = f**3 - 24*f**2 + 139*f - 3906. Calculate the lowest common multiple of 2134 and h(25).
2134
Let p(t) = 2*t**2 + 12*t - 20. Let i be p(-7). Let w be (-1)/(-1)*(i + (-7 - -988)). Calculate the common denominator of -4 - 1/5*w/(-60) and 111/20.
20
Let p = 2615297/1638 + -20762/13. What is the common denominator of p and 187/210?
630
Let d(a) = -a**2 + 24*a - 113. Let r be d(18). Calculate the common denominator of r + (4 - 340/(-275)) and -69/55.
55
Suppose -7*s = -3*s + 2*w - 484, 2*s = 4*w + 262. Calculate the common denominator of 11/61 and s/(-2)*1/(-15).
610
Let m = 168530/51 + -3305. Find the common denominator of 18/21*(-435)/(-945)*-7 and m.
357
Let w(o) = -2*o - 1. Let j(y) = 8*y - 7. Let x(s) = -j(s) + 6*w(s). Let z be x(7). Let u = z + 160. What is the lowest common multiple of u and 33?
231
Suppose 4*j - 32 = -4*u, -3*j + 22 - 6 = u. Suppose 0 = -j*d + 3*d + 16. Calculate the smallest common multiple of 32 and d.
32
Let t(p) = -p - 5. Suppose 3*x - 4*a = 5*x + 4, 10 = -5*x + 3*a. Let h be t(x). What is the smallest common multiple of (-89)/h - -2*3/18 and 6?
30
Calculate the common denominator of 55/1344 and (-279)/189 - 4/(-28) - (-453)/1008.
1344
Let t(h) = 4*h**2 - 14*h - 53. What is the smallest common multiple of 245 and t(-6)?
1225
Suppose 366 + 1184 = 5*h. Suppose -5*a = -5*b - h, 2*a + 70 = -b - a. Find the common denominator of b/33 + 6 + 96/(-18) and 77/6.
66
Suppose -11*f - 173 = 14. Let k(n) = -n**2 - 17*n + 4. Calculate the lowest common multiple of 15 and k(f).
60
Let d = -6290171/306 + 20556. Find the common denominator of -5/162 and d.
2754
Find the common denominator of 444/16*(-4)/6 and 2/1*-7*1/72.
36
Let p = 10695 - 106879/10. Calculate the common denominator of 99/20 and p.
20
Let l be 21*(-3)/(-18) + (-3)/2. Suppose 65 = -l*p + 35. Find the common denominator of (-3 - 22/(-8))*(-642)/p and -101/14.
70
Let p(z) = 2*z**3 + 23*z**2 - 17*z - 39. Let u be p(-12). Find the common denominator of (-9)/(-30)*91/u and 108/26 - (-5 - -7).
130
Let t be (7 - (-22)/(-4))/((-2)/(-52)). Let y = 87/2 - t. Find the common denominator of (-3)/(-6) + (-8)/7 and y.
14
Let v(p) be the first derivative of p**4/4 + 2*p**3/3 - 2*p**2 - p + 1. Calculate the lowest common multiple of v(-3) and 6*(-12)/63*(34/(-4) + 5).
4
Suppose -4*d = -1417 + 1169. Suppose -2*g - 131 + 143 = 0. What is the smallest common multiple of d and g?
186
Let t = -99887/21255 - -491/109. Let v = 1429549/59154 + 1/9859. Calculate the common denominator of v and t.
390
Suppose z = -2*m - 608, 0 = 10*z - 7*z + 4*m + 1818. Calculate the common denominator of z/240 - 10*10/500 and -11/3.
24
Let k be (-30)/5*4/(-6). What is the common denominator of -79/99 and ((-9)/2)/(k/3)?
792
Let w = 12 + -10. Calculate the smallest common multiple of 39 and 7 - (w - (-3 + 2)).
156
Suppose 2*k - 33 = -3*c, 2*k - 2*c - 573 = -515. Calculate the smallest common multiple of 192 and k.
192
Suppose -2*q - 2036 = -4*b, -4*q + 1503 = -b + 5540. Calculate the common denominator of -43/18 and (2058/q)/((-2)/(-8)).
18
Let y(k) = k**2 + 5*k - 7. Let g be y(-6). Suppose 0 = 5*h - 4*h - 8. Find the common denominator of 89/10 and (g/(-2))/(h/(-15)).
80
Suppose -1057*p - 3941 = -1064*p. Let m = -553 + p. Suppose 5*t = 31 + 9. What is the lowest common multiple of t and m?
40
Let x(k) = 4*k + 1. Let l(t) = -2*t. Let r(i) = -3*l(i) - 2*x(i). Suppose 6*h - 20 = 4*h. Calculate the lowest common multiple of h and r(-9).
80
Let k = -1706493/55 + 31026. What is the common denominator of -18/583 and k?
2915
Let h be (-5)/((-159)/108 - (-22)/99). Calculate the common denominator of -79/46 and (1 + -18*h)*(-1)/3.
138
Suppose 0 + 1 = -b. Calculate the common denominator of -49/10 and 5 + b + 108/(-240).
20
Let f = -620/73 + -1/146. What is the common denominator of ((-931)/(-84) + -11)/((-6)/(-381)) and f?
24
Let s = 311548069/704 + -442540. Calculate the common denominator of s and -47/96.
2112
Let p = 21505/28 + -5386/7. What is the common denominator of p and 109/840?
840
Suppose -4*c - 2*s = c - 190, -2*c = 3*s - 65. Find the common denominator of -37/64 and (545/c)/(2/(-8)*9).
576
Let z(x) = x**3 - 14*x + 29. Suppose -5*d - u = -3*u - 8, -5*u = -5*d + 5. What is the least common multiple of z(d) and 16?
144
Let z(g) = 4*g**3 - 769*g**2 + 230*g - 7230. Suppose -82 = -2*j + 2*p, 2*j - 85 = -3*p + 2. Calculate the lowest common multiple of j and z(192).
462
Let s be ((-220890)/45)/(519/882) + -1. Let y = 8343 + s. Calculate the common denominator of 46/11 and y.
1903
Let l be -51*(7 - (8 + 0)). Suppose -18*v = -4*a - 22*v + 68, 2*v = -3*a + l. What is the least common multiple of a and 28?
476
Suppose -2*g + g - 2 = 0. Let k be g/(8280/29915) + -1. Let n = k + -5/207. Calculate the common denominator of n and -35/9.
36
Let m(y) = -3*y**2 + 67*y - 188. What is the smallest common multiple of 20 and m(12)?
920
Suppose 215*l = 276*l - 366. Calculate the lowest common multiple of l and 2445.
4890
Let q(f) = -41*f**2 - 1122*f - 69. Calculate the smallest common multiple of 144 and q(-27).
1008
What is the least common multiple of 27 and ((-6)/(-7))/((-12)/(-28)) + 1675?
15093
What is the lowest common multiple of 1080 - (13 - (-154)/(-11)) and 161?
7567
Let r(p) = -p**2 + 14*p + 12. Let a be r(18). Let c be ((-3)/a)/((-585)/1840). Let y = c + 3/65. What is the common denominator of 36/7 and y?
63
Let o(h) = -h**3 - 85*h**2 - 1567*h - 42. Let c(q) = 3*q + 1. Calculate the lowest common multiple of o(-58) and c(3).
80
Suppose 122*c - 125*c + 5*x = -17, -c - 4*x = -34. What is the smallest common multiple of c and 442?
3094
Let n = -1939 - -46523/24. Find the common denominator of n and 3/616.
1848
Let w = -10289 + 6903917/671. Let o = -24811/5368 + w. What is the common denominator of 1503/84 - (-5)/(2 + -37) and o?
8
Let a be 2/(-6) + 56/24. Let d(p) = -3*p**2 - 24 + 14*p + 5*p**2 - p**2 - 2*p**a. What is the smallest common multiple of 7 and d(11)?
63
Suppose -31*f + 166 = -29*f. Let o = -69 + f. What is the least common multiple of (-1)/(-2) + 301/o - 0 and 8?
88
Let w = 40 - -23. What is the lowest common multiple of w and 38?
2394
Let p = 1513 + -12005/8. Let o be (-3231)/(-1166) + (-4)/(-8). Let x = o - -5/106. What is the common denominator of x and p?
88
Let p be 139046/(-55) - (-30)/(6/(-1)). Let u = -2534 - p. What is the common denominator of u and -111/40?
440
Let g = 1/548490 + -26884069/4420280910. Calculate the common denominator of g and 20/11.
88649
Let l = 24945107 + -15715413271/630. Let x = -235/63 - l. What is the common denominator of x and 614/(-120) - (-19)/(570/20)?
20
Let f(a) = 2*a**2 + 6*a + 4. Let o be f(-3). Suppose -5*g + o*x - 3*x + 122 = 0, 90 = 4*g + 3*x. Find the common denominator of 548/g - (-1)/3 and -151/12.
12
Suppose -388 = -k + 3*o + o, 2*k - 5*o - 791 = 0. Suppose 15 = -13*j + 10*j, 5*m - 2*j - 120 = 0. What is the smallest common multiple of (-30)/(-4)*k/15 and m?
2244
Let v(f) = f**3 + 16*f**2 + 14*f + 1. Let d be 26/(-8) - (-9)/(-12). Let b be -17 + ((-48)/4)/d + -1. What is the least common multiple of 10 and v(b)?
80
What is the lowest common multiple of 294/21 - (-11775)/15 and 611?
10387
Let l = 6236/4691 - 1347240791/84438. Let d = l - -15958. Find the common denominator of 57/116 and d.
1044
Let x = -1461258967/2479 - -589455. Calculate the common denominator of 31/11 and x.
27269
Let p(y) = -13*y**2 - 13*y**2 + 3 - 3*y**3 + 29*y**2 + 1. Let l be p(2). What is the common denominator of (6/l)/((-684)/(-133)) and -34/15?
240
Let x(j) = -j**3 - j. Let d(i) = 13*i**2 + 17*i - 30. Let w(u) = -d(u) - x(u). Suppose -124 = -9*f + 2. Calculate the least common multiple of 112 and w(f).
112
Let s = 273899/76 + -3604. Let b = s - -235/684. What is the common denominator of 62/4 + (6 - 6) and b?
18
Let j = -1347 + 4067. What is the least common multiple of j and 34?
2720
Suppose -4*o - 105 = -2*o + 3*t, 5*o - 5*t + 300 = 0. What is the least common multiple of 2/4 + o*1/(-6) and 6?
30
Let a = -573 + 603. What is the lowest common multiple of (426/21)/2 - (-11)/(-77) and a?
30
Let n = -27 + 35. Calculate the lowest common mu