-16))/(p/(-16)).
74
Let k = -98474750833/117691 + 19244685/23. Let w = -2/731 - k. Find the common denominator of w and -13/7.
7
Let j = -8167 + 8293. Calculate the lowest common multiple of 1368 and j.
9576
Let d(w) = w**2 - 15*w + 7. Let t be d(8). What is the common denominator of (4/144)/(2/111) and (34/5)/(28/t)?
120
Let q be 161/159 - (16 - 15). Let c = q - 16445/5406. What is the common denominator of -15/8 and c?
136
Let v = 3519 + -2000. What is the lowest common multiple of v and 1953?
13671
Find the common denominator of -7 + 4/(-1140)*62990/(-32) and 167/570.
4560
Suppose -7*q = -16*q + 36. Suppose q*f = -5*j - 2, 0*j - 11 = -4*j + f. What is the lowest common multiple of 166 and j?
166
Let g = -3 - -6. Suppose 52*c - 2527 - 862 = -269. What is the lowest common multiple of g and c?
60
Let i be (3/24)/((-733272)/733242 + 1). Let k = i - -3055. What is the common denominator of 43/28 and k?
280
Let p = 53 + -29. Suppose -2*r = -5*w - 626, 0 = -5*r - 0*r + 2*w + 1586. Let o = -294 + r. Calculate the least common multiple of o and p.
24
Calculate the smallest common multiple of (631780/(-150))/(-31) - 2*(-1)/15 and 40.
680
Let y(m) = m**3 - 21*m**2 + 40*m - 23. Let f be y(19). Suppose 0 = -3*r - f, -35*z + 137 = -33*z - 5*r. Calculate the lowest common multiple of z and 28.
56
What is the least common multiple of 24 and 85/(-1360) - 43683/(-48)?
10920
Let a = 218281 + -34051997/156. Calculate the common denominator of a and -54/637.
7644
Let x(i) = i**3 - 5*i**2 + 9. Let o(v) = -3*v**3 + 10*v**2 - v - 19. Let y(r) = -2*o(r) - 5*x(r). Calculate the lowest common multiple of 35 and y(-4).
35
Let j = -1564 - -2614. What is the lowest common multiple of j and 1225?
7350
Let w = 1181047 - 1233013193/1044. Find the common denominator of w and 131/168.
14616
Let w(a) = -3*a**3 - a**2 - 3. Let k be w(-3). Let h(p) = 2*p**2 - 2*p + 2. Let s be h(-5). Let x = k - s. Calculate the smallest common multiple of x and 10.
70
Let r be (4/(-10))/(5/(-50)*2). Find the common denominator of 79/20 and 6/120*-81 - r.
20
Let j = 17839 + -999029/56. Calculate the common denominator of -43/2 and j.
56
Let k(j) = -j**3 - 3*j**2 - 4*j + 4. Let t be ((-44)/66)/(6/45). Calculate the smallest common multiple of k(-5) and (-5 - t) + 16/8.
74
Let j(m) = -2*m**3 + 2*m**2 + 10*m. Let t be j(-2). Suppose -p + t*g + 34 = 0, -11*g = 2*p - 7*g - 32. What is the lowest common multiple of 24 and p?
264
Suppose 12270 = -6*f + 11*f - 5*j, -9788 = -4*f - 3*j. What is the common denominator of 127/42 and 1220/f + (-1 - 28/(-20))?
294
What is the common denominator of (-11)/(-10)*(-1524)/(-223520) and 53/600?
1200
Suppose 3*s - k = -103, 3*s + 0*s + 123 = -3*k. Calculate the least common multiple of ((-12)/s - 32/6) + 53 and 88.
528
Suppose 2*i + 3 = 2*c - 13, 2*c + 4*i = 22. Let q(y) = -y**2 - 182*y - 525. What is the least common multiple of c and q(-3)?
36
Suppose -9*q + 29991 = -15677 - 20896. What is the lowest common multiple of 20 and q?
36980
Let q(w) = -w**3 - 13*w**2 + 5*w + 53. Let l be q(-13). What is the common denominator of (-11)/((-363)/l)*510/(-96) and 19/11?
44
Calculate the common denominator of (0 + (-4)/(-1134))/((-3012)/(-54969)) and -35/24.
4536
Let q(b) = -2*b**3 + 6*b**2 + 2*b - 15. Let g be q(-6). Let s = -513 + g. What is the smallest common multiple of s and 7?
756
Let g(k) = -4*k - 9. Let u be g(-3). Let a(h) = -8*h**2 + 4 - h**u + 127*h - 127*h. Calculate the smallest common multiple of 6 and a(-8).
12
Let y = 3397 + -2661. What is the least common multiple of y and 128?
2944
Calculate the common denominator of -89/30 and (10/158)/(18/(-33)).
2370
Let w = 9/9371 - 1134269/393582. What is the common denominator of 100/(-112)*12/10 and w?
42
Let d = 6959 - 6944. What is the lowest common multiple of d and 95?
285
Let y be (-2817)/2*(-32 - 2). Let h be 4 - (-2 - (-287336)/y). Let v = 3304301/957780 - h. Calculate the common denominator of v and 111/20.
20
Suppose 5*g - g = 48. Suppose 3*p = 7*p - g. Suppose -2*c + 14 = -0*c - n, p*n - 35 = -5*c. Calculate the smallest common multiple of 2 and c.
14
Let j = 95 + -95. Suppose -2*t + 23 - 7 = j. What is the least common multiple of t and 11?
88
Suppose 471 = 4*k - 77. Let s = -7 - k. Calculate the common denominator of -83/6 and ((-254)/s)/((-7)/(-14)).
36
Let n(g) = -g**3 - 4*g**2 + 9*g + 27. Let w be (-2)/(-5 - 54/(-10)). Calculate the lowest common multiple of n(w) and 57.
399
Let c be 114/137110*(-8 + 66353/26). Let d = -2/13711 - c. Find the common denominator of -1 + (-13)/(-2) - -4 and d.
26
Let x be 10*8/16*-2. What is the least common multiple of x*4/(-5) + 22 and 20?
60
Let y = -34859/144 - -2132/9. What is the common denominator of -101/12 and y?
48
Suppose 35*z - 37662 = -17922. Calculate the lowest common multiple of z and 12.
564
Let l = 1628 - 1511. What is the lowest common multiple of l and (-4)/((-4)/6*(0 + 3))?
234
Let c = -24976 + 1198919/48. What is the common denominator of c and 77/720?
720
Let h be (-4 + (-70)/(-20))*(-24)/(-2). Calculate the least common multiple of -4 + (h - -30) + 2 and 6.
66
What is the common denominator of 85/286 and (-23)/(-24)*(-29 - 12830/(-440))?
13728
Let a = -42773/14 - -3050. Find the common denominator of a and ((-1509)/(-465) + (-140)/35)*(-12)/(-504).
2170
Let n(c) = -2*c**2 - 3*c + 3. Let u = 59203/7 + -8455. Calculate the common denominator of n(4) and u.
7
Calculate the common denominator of (5*33/(-2365))/(-1)*131/54 and -31/645.
3870
Let d = -41734 - -41749. Calculate the least common multiple of 429 and d.
2145
Let i(y) = -y**3 - 4*y**2 + 4*y - 23. Suppose -5*b - l = -b + 23, 5*b - 4*l + 34 = 0. Calculate the lowest common multiple of i(b) and 100.
100
Let g = 267805 + -88911335/332. What is the common denominator of g and -46/83?
332
Let a(q) = -2*q**3 - 24*q**2 - 73*q - 19. What is the smallest common multiple of a(-9) and 64?
1216
Suppose 956*o = 954*o + 28. Let n(b) = 3*b - 1. Let m be n(1). Suppose -17 = -4*w - u, -3*u - 1 = -m*w + w. Calculate the least common multiple of o and w.
28
Let v be (1 + 2184)/1 + 1. Let u = -1045 - -1065. What is the lowest common multiple of v/12 - u/120 and 10?
910
Let l = 1425 + -1411. What is the least common multiple of 3010 and l?
3010
Suppose -3*j + 929 = l, 5*j - 2*l + 1548 = 10*j. Let k = -63 + 83. Calculate the least common multiple of j and k.
620
Let s be 2/6*(32 + 3 + 4). Suppose 3*f - 8*h - 11 = -3*h, -5*f + s = -3*h. What is the lowest common multiple of f and 22?
22
Let t = 7520906/11 - 682726. Let z = -698385/704 + t. Find the common denominator of -55/12 and z.
192
Let o be -10*(-1)/2*4. Suppose -5*s + 17 = 4*h - 2*s, o = 5*h + 4*s. What is the smallest common multiple of h and 92?
184
Suppose -2*t - 2 = 0, -5*p = -3*t + 1521 - 34674. Suppose -87*j = -22*j - p. What is the smallest common multiple of j and 2?
102
Let r = -5404 - -6412. Calculate the least common multiple of r and 224.
2016
Suppose 0 = -3*r - 5*i + 38, -10 = -5*r + i + 4*i. Suppose -126 = -r*l + 4*l. What is the smallest common multiple of l and 49?
441
Suppose -1 = 4*i - 4*o - 13, 0 = 5*o. Suppose -i*w = -7*w + 48. Suppose -64 = -29*a + 13*a. What is the lowest common multiple of w and a?
12
Let v = -54934 - -54937. Let g = 0 - -4. Suppose -2*j + 10 + 12 = g*o, 3*j = -3. What is the smallest common multiple of v and o?
6
Let o = 1837/8 - 234. Suppose -4*b - 5*m = -17, 3*m + 0*m = b. What is the common denominator of (-10)/(-12) + (5 - b) and o?
24
Let y = 7423/64 - 35771/64. Let i = 443 + y. Let f = 130 + -3127/24. What is the common denominator of f and i?
48
Let h(n) be the third derivative of -n**5/15 - 11*n**4/4 + 8*n**3/3 + 5*n**2 + 11. What is the smallest common multiple of h(-16) and 64?
192
Let u be (24/16)/(6/8). Suppose -121 = -u*d - 3*j, -5*d + 6*d - 60 = -j. What is the lowest common multiple of d and 2?
118
Suppose 4*t + t = -4*o + 54, 5*o - 49 = 3*t. Let c be (o - 13) + (-2)/2 - -15. Let v(f) = f**2 - 12*f + 18. What is the least common multiple of 10 and v(c)?
90
Let l = 801207/34 - 23567. Let t = 6815877 - 408962801/60. Let i = t + 1055/6. Calculate the common denominator of l and i.
340
Let g = 4739/18 + -769/3. Let f = 3/388 + -1761/1940. Calculate the common denominator of g and f.
90
Let y be ((-2)/