f -97/224 and (1273/190)/((-22)/5).
2464
Let p(k) = -3*k**3 - 3*k**2 - k + 16. Let x be p(7). Let o = 15 + -33. What is the common denominator of -15/2 and x/216 + 4/o + -3?
8
Let m be (0 - -7) + (-258687)/432. Let b = -153 - 439. Let z = m - b. Calculate the common denominator of z and -79/2.
16
Let z = 37/1067684 + -497113137705/33098204. Let v = -15020 - z. Find the common denominator of ((-3)/(-24))/(6/284) and v.
372
Suppose 0 = -3*k + 4 - 7, 0 = 3*d - k - 1021. What is the smallest common multiple of 102 and d?
1020
Let m(t) = -t**3 - 20*t**2 - 5*t + 116. What is the lowest common multiple of 112 and m(-20)?
3024
Let v = 1/25715 - 2545849/1645760. Calculate the common denominator of v and 49/16.
64
Let x(c) = c**3 - c**2 + 2*c - 7. Let b(g) = 3*g**2 - 4*g - 16. Let p be b(-2). Calculate the lowest common multiple of 63 and x(p).
441
Suppose -3*t - 4*w = -361, -12*w - 473 = -4*t - 9*w. Suppose -2*x + 38 = i, 45 + t = 4*i + 2*x. Calculate the lowest common multiple of 35 and i.
210
Suppose -4*q + 18468 = 4*u, 4*u - 3*q = 11688 + 6731. What is the lowest common multiple of u and 4610?
4610
Let c = 0 + 0. Let f = c + 22. Suppose -3*v = -4*x - 68, 0 = v + 3*v - 5*x - 89. What is the least common multiple of v and f?
176
Suppose 3*z = -3*m - 1260, 2*m - 840 = 4*m - 4*z. What is the least common multiple of 0 - -814 - m/70 and 4?
820
Let t = -6/169951 - -10726017/541123984. Calculate the common denominator of 55/16 and t.
3184
Let s be 2/(-8) - (-7617)/(-252). Let l = -114519/7 + 16401. Let r = s + l. What is the common denominator of r and -43/6?
6
Let s = -119 + 243. Let k = s - 108. What is the smallest common multiple of k and 56?
112
Let u = -3846 - -3886. What is the lowest common multiple of u and 180?
360
Let p = 14 + -13. Calculate the common denominator of 31/3 and (153/(-48))/(p/4*-7).
84
Let d(f) = f**3 + 12*f**2 - 156*f + 3. What is the lowest common multiple of d(11) and 214?
1070
Let t be 250904489/(-6644) + (-9)/12 + 0. Let v = -37765 - t. Calculate the common denominator of -7/10 and v.
1510
Let d = -485 - 78. Let z = -446 - d. What is the least common multiple of 143 and z?
1287
Suppose 0 = -5*m - 29*y + 25*y - 6, 4*m = 3*y + 20. What is the lowest common multiple of 4 - -1 - (-3 + 4) and m?
4
Let k = -8 + 11. Let s(h) = h**3 - 14*h**2 + 48*h - 36. Let n be s(4). What is the common denominator of (k - 61/n) + 6/12 and 83/40?
40
Let b(a) = -2*a**2 - 93*a - 924. Calculate the smallest common multiple of 8 and b(-20).
136
Suppose -1385*u = -1389*u + 112. Calculate the lowest common multiple of u and -1 - (3/(0 + 3) - 16).
28
Let u = -69619/1368 - -458/9. What is the common denominator of u and 113/36?
1368
Let q = 89 - 89. Let n be 3/3*(4 + q). Calculate the lowest common multiple of 3 + 4/(4/n) and 1.
7
Let a be 12/(-12) + (3 - 0). Let z be 285/a*-74*(-1)/(-24). Let h = 52807/120 + z. Calculate the common denominator of h and -23/12.
60
Let g = 373 - -1586. Calculate the common denominator of 2*(-20)/(-8) + g/(-414) and -109/6.
138
Suppose -2*v + 9*r = 4*r - 385, -4*r + 186 = v. What is the common denominator of 167/90 and (46/(-42))/(v/(-57))?
630
Let u = -116299/18 + 6458. Suppose 108 = -s + 19*s. Find the common denominator of (s/(-63))/(12/1036) and u.
18
Let h = -3224449/56 + 57581. Find the common denominator of h and 19/192.
1344
Let h = -19083/8 + 2374. Suppose 7*u + 20068 + 8856 = 0. Let d = -74467/18 - u. Calculate the common denominator of h and d.
72
Let x = 6310/609 + -220/21. Find the common denominator of -143/36 and x.
1044
Let z = -91502823/62 - -1475375. Let o = -477 - z. Calculate the common denominator of o and 61/5.
310
Find the common denominator of 35/914 and (-21)/112 - (-669)/48.
1828
Suppose 142*z - 141*z = 5348. Let c = z - 53549/10. Calculate the common denominator of 2/6 - 232/36 and c.
90
Let c be 123/21*82 + (-4)/14. Suppose b + 2*b = c. What is the smallest common multiple of 18 and b?
1440
Calculate the common denominator of (-6664)/1029 + (-6)/7 and -55/21.
21
Let o(u) = -6*u. Let q be o(-8). Let h be (q - 3)*(-1 + (-8)/(-6)). What is the common denominator of -89/12 and (-2 + 37/2)*1/h?
60
Let k = 6456/5 - 19286/15. Let j = 52281/10 - 5234. What is the common denominator of j and k?
30
Let w = -6001 + 6008. What is the least common multiple of w and 281?
1967
Let g(j) be the second derivative of j**3/6 - 15*j**2/2 + 23*j. Let w be g(12). What is the smallest common multiple of 16 and w/4 + (-182)/(-8)?
176
Suppose 0 = -227*j + 252*j + 11375. Let x be 6/4*156/(-9). What is the common denominator of -8/11 and x/(-10)*j/(-26)?
22
Let k = 153 + -144. Calculate the lowest common multiple of k and 16.
144
Let j(m) = -4*m**3 - 16*m**2 - 7*m - 6. Let y be j(-4). Suppose y*x - 277 - 713 = 0. Calculate the lowest common multiple of 24 and x.
360
Suppose -23*c - 216 + 9 = 0. Calculate the least common multiple of 15/(-6)*6/c*3 and 21.
105
Let q = -140051305763551/149620853351730 + -58/1532843493. Let u be 24/20*11/454. Let x = q - u. What is the common denominator of x and -11/20?
860
Let j = 92 - 88. Let p be 1/4 - (-1 + 17/j). Let m = p - -17. Calculate the least common multiple of 8 and m.
56
Let r(p) = -2*p**3. Let g be r(4). Let i = 184 + g. Suppose 0 = 6*a - 7*a + 22. Calculate the lowest common multiple of i and a.
616
Let m = 3973 + -3280. Calculate the lowest common multiple of m and 63.
693
Let a = 98 + -15. Let m be (3 - 2)*a/1. Find the common denominator of -4 - (-5)/(10/m) and 67/20.
20
Let n = -3396 + 27241/8. Let b(j) = 362*j + 6. Let v be b(8). Let o = v + -23169/8. Calculate the common denominator of o and n.
8
Let b be (4 - 4/4)*-2. Calculate the common denominator of 28/22 + (15 - 12) and 6/(-378)*3*b/2.
77
Let v(g) = 12 - 297*g + 0*g**2 + 4*g**2 + 296*g. What is the smallest common multiple of 80 and v(-4)?
80
Let z(i) = -i**2 + i + 4. Let u be z(0). Suppose -u*a = -g - 65, -25 = 4*a - 2*g - 95. Suppose a*f - 11*f = 8. Calculate the lowest common multiple of 9 and f.
18
Find the common denominator of 3/(81/24)*(-132)/(-25432) and -46/153.
2601
Suppose 2*q = -4*h + 1730364, 5*q = -3*h - h + 1730364. Let v = h - 307139659/710. What is the common denominator of v and 101/4?
1420
Suppose a - 591 = -4*r, 25*a - 23*a - 4*r - 1158 = 0. Calculate the lowest common multiple of a and 1.
583
Let k = -38123506831/6126 + 6223230. Find the common denominator of -91/16 and k.
49008
Let v = -250 + 1034. Let r = 792 - v. Calculate the least common multiple of r and 152.
152
Let x(y) = -y**2 + 5*y + 7. Suppose -t = -4*q - 77, 4*t - 7*t + 5*q = -210. What is the lowest common multiple of t and x(5)?
455
Find the common denominator of 16 and (-28)/2 - (-6 - (-244)/8).
2
Suppose -m - 81 = 3*s, -2*m + 0*m = -4*s - 98. Let d be (-4)/s + (-6179)/(-481). Suppose d*b = 7*b + 738. Calculate the smallest common multiple of b and 2.
246
Let c be (942/(-18))/(2/2118) + -3. Let g = 1274442/23 + c. Let n = 30394/2139 + g. What is the common denominator of 57/5 and n?
465
Let n = 40 - 42. Let j(a) = -a**2 - a + 2. Let c be j(n). Suppose -x + 17 - 6 = c. Calculate the least common multiple of x and 12.
132
Suppose 19 = -2*h + 25. Let n be (-41113)/6 + 26/(-39) + h. Let p = n - -6870. Find the common denominator of p and 44/21.
42
Let v = 27 + 138. What is the smallest common multiple of v and 33?
165
Suppose 0 = 9*m - 5*m - 724. Suppose -4*o + m = 61. Let l(i) = -4*i - 1. Calculate the smallest common multiple of o and l(-7).
270
Let c(r) = -r**2 - r**2 + 9 - 7 + 3*r**2. Let s be c(-2). Let g(h) = 5*h - 11. Calculate the smallest common multiple of 11 and g(s).
209
Let c = -3376178 - -148592525/44. Let f = c - 925. Calculate the common denominator of f and -41/4.
44
Let g = -81 + 77. Let c be 75/27 - g/18. Suppose 5*z + 0*d + c*d = 66, -3*d - 42 = -4*z. What is the lowest common multiple of z and 18?
36
Suppose 3*p - 13 = 5*c - 0, -5*p - 2*c = -32. Calculate the smallest common multiple of 250 and p.
750
Suppose 4*n + 18 = -5*n. Let r be -1 + n + (-3)/(-1). Let s = 16 + r. What is the lowest common multiple of s and 8?
16
Let k = -806/15 + 7693/120. Let c = 16 + -19. Find the common denominator of k and 3/(22/24 - c/12).
56
Let z be (-9)/((-36)/8) + 5. Suppose 0 = -z*t + 4*t + 9. Calculate the least common multip