(-18) - 2). Let z = s - 1/3. Find the common denominator of z and -4/31.
155
Let p be 2*(-1)/(-4)*-2. Let u = 69311/5975 - 1/5975. Calculate the common denominator of 2 + (p - (-25)/4) and u.
20
Let m = -5/4664 - -2733129/23320. Let k = 118 - m. Let b = 481/49 + -75/49. Calculate the common denominator of b and k.
35
Let m be (0/5)/(2/(-1) + 3). Let p be 44 - (m/(-1))/(-1). Let q = p - 34. What is the least common multiple of 2 and q?
10
Let r = 4078 + -40663/10. Calculate the common denominator of r and (-153)/(-102)*(-19)/(-3).
10
Suppose -5*w - 112 = 463. Let c be (-3)/(1/(-226)*2*-3). Let t = c - w. What is the least common multiple of 24 and t?
24
Let f = 48575/35343 - 251/189. Let q = f - 69523/11220. Let j = 277/28 - 41/4. What is the common denominator of j and q?
140
Let v = -122 - 111. Let c = 282 + v. Calculate the smallest common multiple of c and 77.
539
Suppose -103 + 61 = -4*f + w, -4*w - 18 = -f. Calculate the smallest common multiple of 3/(1 - 2) - -76 and f.
730
Suppose 0*l = -l + 2. Suppose -567 = l*t - 9*t. Let o = -61 + t. What is the smallest common multiple of 2 and o?
20
Calculate the lowest common multiple of 90 and (-405)/(-20)*(-176)/(-12).
2970
Let x = 50998591/570 + -89471. Calculate the common denominator of 15/76 and x.
1140
Let r = 6383/21 - 1406003/210. Let v = -6386 - r. Find the common denominator of v and 1/1 + 186/60.
10
Let v(z) = -14*z - 310. Let i = 8 + 18. Suppose t = i - 8. Calculate the smallest common multiple of t and v(-23).
36
Let v = 47303/736 - 1420/23. Calculate the common denominator of 31/12 and v.
96
Let k be 15924/(-28) + 8/(-28). Let c be k/(-5) - (-8 + 9). Let m = -6334/55 + c. Calculate the common denominator of 38/7 and m.
77
Let l(f) = 5*f**2 - 130*f + 499. Calculate the least common multiple of l(24) and 609.
22533
Let a be 0 + (3 - 2) + (97 - -14). Let r = a - 118. What is the smallest common multiple of 101 and (22/(-4) + 1)/(r/12)?
909
Suppose 1221 = -9*w + 15. Calculate the common denominator of ((-28)/8)/(w/20 - -4) and 44/15.
135
Let g = -448 + 7107/16. Find the common denominator of g and 3/8*82236/5418 + (1 - 7).
688
Let m = -11521/3592 + -5/5388. Calculate the common denominator of m and -85/192.
192
Suppose -3*z = 2521*t - 2523*t + 800, -2*z = 2*t - 800. What is the lowest common multiple of 144 and t?
3600
Let v = 61 - 25. What is the lowest common multiple of v and (-160)/(-520) + 408/26?
144
Let i = 3149659/159 + -19809. What is the common denominator of i and -4 - 2 - (15704/48)/(-13)?
318
Let p(k) = k**3 - 33*k**2 - 34*k + 90. Let i be p(34). Suppose -i + 106 = 2*q. What is the least common multiple of 306 and q?
1224
Let p = -29364839/84799980 + -2/157037. Calculate the common denominator of -74/405 and p.
1620
Suppose 5*i - 68 = -2*b, 3*i - 5*b + 8 = 2*i. What is the lowest common multiple of i and (-84)/2*(-1)/3?
84
Let q = 9 - 12. What is the common denominator of 396/14*(-21)/504*-42 and (-106)/(-6)*q/5?
10
Suppose 0 = 4*p - 13 - 7. Calculate the least common multiple of 0 + 380/22 - ((-2160)/(-176) - 12) and p.
85
Suppose -30*j - 328 = -461 - 407. Calculate the least common multiple of j and 1072.
9648
Suppose 0 = -2*c + 5*c - 24. Calculate the smallest common multiple of c and -90*(-2 - -3)*(3 - 17/5).
72
Suppose 8 = -2*h, 4*f + 3*h + 0*h - 800 = 0. Calculate the smallest common multiple of 4 and (-9 - (9 - f)) + (-4 - 1).
180
Calculate the common denominator of 29/1488 and 2805/12276 + (-15)/20.
1488
Suppose -4*v + 417 = -3*k, 8*v + 123 = 9*v + 3*k. Suppose v - 268 = -5*z. What is the least common multiple of 14 and z?
224
Suppose 6*t - 45552 = -77*t - 21*t. What is the lowest common multiple of 16 and t?
3504
Let s = 2949 + -14792/5. Let u = 33/5 + s. Let g = 24011/10 + -2399. What is the common denominator of g and u?
10
Suppose -1981 = -31*c - 617. Find the common denominator of (-55)/c*5/(15/46) and 43/17.
102
Suppose 2*b = 5*j - 16, -7 + 10 = -b. Suppose -t - n + 147 = j*t, 0 = -n. Calculate the lowest common multiple of t and 21.
147
Let b(x) = -13*x - 7 - 9 + 0*x**2 - x**2. Suppose 15 = -3*y + 6*w - 11*w, 2*y + 2*w = -14. Calculate the smallest common multiple of b(y) and 1.
14
Suppose -55*u - 14568 - 50727 = -283535. Calculate the least common multiple of u and 64.
3968
Let l = -68512 + 36927923/539. What is the common denominator of -99/490 and l?
5390
Let d = 28169067/22 - 1280725. Let v = -313 - d. Let o = -1235/14 + 89. What is the common denominator of v and o?
154
Suppose -43*j + 505 = -1000. What is the least common multiple of j and 154?
770
Let c = -925123 + 784504213/848. Calculate the common denominator of c and -23/22.
9328
Let i be ((-4)/12)/((-6)/27)*-4. Let b be (-143170)/260 - i/4*-2. Let m = 556 + b. Calculate the common denominator of 41/18 and m.
234
Let u be 168/((-4)/(4/19)). Let h = u + 4083/494. Find the common denominator of (-4)/22 - (8874/(-220))/9 and h.
130
Let v = -1930 - -17375/9. Calculate the common denominator of -73/24 and v.
72
Suppose s = -3*h + 2, 2*s = 3*h - s - 18. Suppose f = h*f - 3*f. Suppose 4*t = 5*u + 21 + 19, 3*u = f. Calculate the least common multiple of t and 52.
260
Let q be (-36998)/6*(-75)/900. Let f = 4540/9 - q. Calculate the common denominator of f and -50/477.
1908
Suppose -5*x - 5*z = -60, -5*x + 0*x - 2*z = -60. Calculate the lowest common multiple of 2 and (53 - 1)/(x/48).
208
Let k be 3/((-21)/2)*424965/9. Suppose -80964 = -3*i + 9*i. Let m = k - i. Find the common denominator of m and -71/36.
252
Find the common denominator of -93/1070 and -7 + (-234)/(-130) + -1*2.
1070
Suppose 149*c = 579 - 132. Suppose 103 = -3*k + 19. What is the least common multiple of c and k*(-1 + 1/2)?
42
Suppose 5*s = 3*g - 187 - 1172, -2*s - g = 548. Let d = 2187/8 + s. Let x = 526/5 - 4353/40. What is the common denominator of d and x?
8
Let g(y) = 158*y**2 - 3*y + 5. Let c be g(1). Suppose 290 = 15*r - c. What is the lowest common multiple of r and 18?
90
Suppose -25*u - 945 = -34*u. Suppose -30*d - u + 5145 = 0. Calculate the lowest common multiple of 28 and d.
168
Let y be 0 - (-4)/(-2) - -45. Let i(a) = 3*a + 14. Let n be i(-15). Let k = n + y. Calculate the smallest common multiple of k and 64.
192
Let m(q) = 96*q - 11. Let a be 1*-1 - (-7 + 3 + 2). Let b be m(a). Let g = b - 81. Calculate the lowest common multiple of 1 and g.
4
Let y(c) = -c**2 - 20*c - 81. Calculate the least common multiple of y(-14) and 400.
1200
Let p be 2 + 0/((-6)/2). Let d = -1 + p. Let g = 3699 + -3690. Calculate the lowest common multiple of g and d.
9
Suppose 0 = -5*c + 160 - 45. Suppose -5*p - 2*n = -c, 1 = 4*p - 9*p + 4*n. Let f = 22 - 12. Calculate the smallest common multiple of p and f.
30
Suppose -2*u - 3*f = 10, -3*f - 5 = 4*u + 3. What is the common denominator of u and 83/1272?
1272
Let n be ((-164279)/3)/((-88)/12). Let p = -7472 + n. Calculate the common denominator of 6 - (-3 - (-5)/(330/611)) and p.
66
Find the common denominator of (12714/(-384))/13 - 6/(-2) and 1122/(-352)*((-8)/6 + -2).
64
Suppose -2*b + 1092*n - 1088*n + 1780 = 0, 2*b + 3*n - 1815 = 0. Calculate the smallest common multiple of 1800 and b.
1800
Let j(y) = 6*y - 11. Let p be j(2). Suppose -9 = 3*s, 2*d - p - 7 = 2*s. Let x = 11 + d. What is the smallest common multiple of x and 27?
108
Let i = -1608209/942474 + 15/12083. Find the common denominator of i and 125/6.
78
Let d be ((-5)/10)/((-2)/(-12)). Let x = -13226 + 277766/21. Find the common denominator of (-68)/d + 1 + 1 and x.
21
Suppose -2*v + 7 + 32 = 3*n, -5*v + 66 = 4*n. What is the least common multiple of 5997 and n?
17991
Let g = -53 - -49. Calculate the common denominator of (g/3)/(((-240)/9)/16) and -13/3.
15
Let w = 7/20472 - 42159539/40944. Let r = w - -1031. What is the common denominator of -49/92 and r?
368
Calculate the common denominator of (-30)/16*(-2)/18 and -9 + (13/(-299) - 115175/(-14076)).
72
Let y be (462 + 41)/((-1 + 0)*1). Calculate the common denominator of 49/20 and 0 - (y/124 - -4).
620
Let t = 69 - 30. Let u(h) = -4*h**2 - 346*h - 835. What is the smallest common multiple of t/4 - 4/(-16) and u(-84)?
10
Let a(l) = -155*l - 14. Let i(v) = -52*v - 5. Let y(s) = -6*a(s) + 17*i(s). Let f be y(-10). Calculate the common denominator of f/(-110) - 12/(-30) and -5/12.
132