What is the common denominator of (162/(-56))/((-57)/(-152)) and 0 + (1 - (-363)/r)?
70
Let r(n) = n**3 - n**2 - 32*n + 70. Calculate the smallest common multiple of 390 and r(5).
390
Let s be (234/(-15))/(1/5 - 0). Let c be 2266/6*6/s*-3. Let i = -14857/156 + c. Calculate the common denominator of i and 115/12.
12
Suppose 5*u - 198 = 3*u. Let h(r) = 9*r**2 + 576*r + 3162. What is the least common multiple of u and h(-6)?
990
Let c(j) = j + 416. Calculate the smallest common multiple of 9 and c(-54).
3258
Calculate the common denominator of (7574/(-7812) - -13) + -12 and 137/6.
558
Calculate the smallest common multiple of 480 and -133*1008/(-532)*(0 - 28/(-3)).
23520
Let g be 1 + 6 - 12/(1 - -3). Calculate the lowest common multiple of 1/2 - 22/(-4) and -40*((-23)/5 + g).
24
Let i be (-2)/(-4)*2928/(-12). Let d = 185 + i. Calculate the common denominator of 4/(-7)*d/(-14) and -30/7.
7
Let x(c) = -c**3 + 4*c**2 + 5*c - 7. Let g be x(4). Suppose -5*w = -f - 2*w + g, -4*f - w = -91. What is the smallest common multiple of 22 and f?
22
Let k = 37 + -25. Suppose -9*n - 12 = -15*n. Suppose 3*g - 73 = -s, -2*g - 3*s = -n - 49. Calculate the least common multiple of g and k.
24
Let l be (-6)/5*25/(-5). Suppose -2*i - l = 4*t, -20 = -4*i + t - 5. Calculate the lowest common multiple of 106/8 + 2/(-8) and i.
39
Calculate the common denominator of 7874/(-1092) - (-274 + 267) and -23/30.
2730
Let y = -2938/9 - -24233/72. Let u = -74/395 + 5517/82160. What is the common denominator of u and y?
208
Suppose -3*l - 5*l = -28*l + 11040. Calculate the lowest common multiple of l and 552.
552
Suppose 9 = 4*j - 3. Suppose -3*k = -j*z - 3 - 0, 0 = -3*k - 4*z + 38. Calculate the lowest common multiple of k and 10/(-2) + (-284)/(-4).
66
Let d(k) = -k**3 + 3*k**2 + 7*k + 1. Suppose 2*p = 7*p - 3*b - 1490, -2*p + 570 = 4*b. What is the lowest common multiple of d(-2) and p?
2065
Let x = 34 + -37. Let t(f) = -15*f - 21. Let p be t(x). Calculate the common denominator of 99/20 and -3 - ((-87)/p - 2).
40
Let c(a) = -3*a**3 - 50*a**2 - 328*a - 16. Calculate the lowest common multiple of c(-6) and 400.
800
Let m = -3346271/19414890 - -18/23969. What is the common denominator of -7/22 and m?
8910
Let f be (-1)/7 - 523270/497. Let k = f - -1065. What is the least common multiple of 294 and k?
588
Let z = 20 - 856/39. Let c = -12005 + 396137/33. What is the common denominator of z and c?
429
Suppose -9*z = -11*z - 4*k + 3658, 2*k - 7328 = -4*z. What is the lowest common multiple of z and 6?
3666
Let v = 401 - 204. Suppose 5*g + s = -1, -3*g - 398*s + 9 = -399*s. What is the least common multiple of g and v?
197
Suppose -3*h - 54 - 12 = 0. Let n = 30 - h. Suppose 0 = -0*d + d + 3*w - 36, 5*w + n = 3*d. Calculate the least common multiple of d and 3.
24
Let l = 19134 + -14922. Calculate the smallest common multiple of 2457 and l.
29484
Let h(k) = 5*k**2 - 37*k + 47. Let u(y) = -26*y**2 + 182*y - 235. Let j(i) = 11*h(i) + 2*u(i). Calculate the lowest common multiple of j(14) and 4.
132
Let o = -9882 + 197599/20. Let w = 530/3 - 331/2. Find the common denominator of w and o.
60
Let v = 88066/5461 - 445681003/29762450. Let n = v + 99/109. Find the common denominator of -61/35 and n.
350
Let d = -1414/5 + 22839/80. Calculate the common denominator of d and ((-34190)/(-1500) - 8) + -15.
1200
Suppose -2375 - 23309 = -87*n + 12770. What is the lowest common multiple of 153 and n?
3978
Suppose -5*g = -s + 30, -2*s + s - g = 0. Suppose -232 - 178 = 41*z. What is the least common multiple of s and (-12)/30*z + 2?
30
Suppose 4 - 30 = -21*u + 37. Calculate the least common multiple of 292 and u.
876
Let d = -728 + 836. Calculate the lowest common multiple of d and 12.
108
Let b = -6599491/8 - -822293. Let i = 2639 + b. Calculate the common denominator of i and 43/2.
8
Suppose 2*y - 672 = -y. Suppose 104*f = 100*f + y. Calculate the least common multiple of f and 16.
112
Let p = -80/129 - 21002/387. Let z = p + 5410/99. Calculate the common denominator of 88/15 and z.
165
Suppose 0 = -5*q + 5*k + 15, 4*q - k - 5 = 4. What is the smallest common multiple of 25/2 - q - 36/24 and 6?
18
What is the smallest common multiple of (-7)/((-3771)/(-315) - 12) and 588?
2940
Suppose -2*m + 0*m = 2*m. Suppose m = 22*n - 17*n - 25. Suppose -h + u = -0*u - 25, 4*u - 170 = -n*h. What is the smallest common multiple of h and 30?
30
Let m(y) = -17*y - 192. Suppose -10*f - 101 = 19. Let a = -9 - -13. Calculate the smallest common multiple of a and m(f).
12
Let s be (1670/(-15))/(3 + (-11)/3). Suppose -2*r + 57 = -s. Calculate the lowest common multiple of r and 16.
112
Let u(m) = -13*m - 20. Let z be u(-10). Suppose 3*l + 4*j = -z, 0 = 4*l + j - 69 + 194. Calculate the common denominator of 32/3 and (-1 - -4) + (-21)/l.
30
Let c = 1615913867/120 + -13466108. Let t = -782/5 - c. Let f = 9691/6852 - -4/1713. What is the common denominator of t and f?
24
Calculate the common denominator of 121/156 and 1281/(-42)*(-3)/60.
1560
Let i = -437973/278410 + 173/110. Let p = -144262/12655 + i. What is the common denominator of 41/10 and p?
10
Let v be (24/(-108))/(10/175524). Let a be (-105354)/(-27)*(-1)/(-1). Let i = v + a. Find the common denominator of 1/4 and i.
60
Let y(j) = 77*j**2 + 128*j - 15. What is the smallest common multiple of y(-5) and 508?
2540
Let h(z) = -8*z**2 - 114*z - 19. What is the least common multiple of h(-11) and 207?
18423
Let m = -140 - -170. Calculate the common denominator of ((-250)/(-45))/(-5) - 0 and (-178)/m + -8 + 9.
45
Let q = -3977/648 + 49/8. Find the common denominator of -151/1512 and q.
4536
Let i(x) = -11*x**2 - 52*x - 17. Let v(o) = -4*o**2 - 18*o - 5. Let z(u) = -3*i(u) + 8*v(u). What is the lowest common multiple of z(-12) and 103?
1133
What is the common denominator of -53/215 and ((-1172)/(-56) + -1)*(-3)/((-6966)/63)?
860
Let q(h) = -773*h - 4. Let a be q(-2). Let d = 9/22 - 477/440. What is the common denominator of d and a/352 + (-44)/(-242)?
80
Let j = 73 - 62. Suppose -4*o - 4*t + j - 3 = 0, 2*o + 4*t = 4. What is the lowest common multiple of (84/(-35))/((-6)/40) and o?
16
Let b be (-63)/((-1)/1 - 0). Let a = b + -63. Suppose a = -3*y, j + 3*y - 5 = 5. What is the lowest common multiple of 3 and j?
30
Let f = 90 - 75. Suppose 7*u + f = 127. What is the least common multiple of u and 22?
176
Let m = 6594 - 5674. Calculate the least common multiple of 160 and m.
3680
Let z = 8979911/231 + -38874. What is the common denominator of z and -74/147?
1617
Calculate the common denominator of 27/2120 and 3/((-27)/(-39))*(-1335)/(-3560).
2120
Suppose 2*v + 5 = 49. Let x(p) = -18*p**3 - 127*p**2 - 9*p - 8. Let f be x(-7). What is the lowest common multiple of v and f + (-8)/3*9/6?
22
Let n = 161803 + -533949887/3300. Calculate the common denominator of n and 137/990.
9900
Let k = 7256 - 7234. Calculate the least common multiple of 396 and k.
396
Calculate the lowest common multiple of (16/3)/(-8) - 55/(-15) and 315.
315
Let n = 46212973/690 - 133951/2. Calculate the common denominator of n and -83/18.
2070
Let w be 321/(-63) - (-10)/105. Calculate the common denominator of 19/18 and 426/81 - (0 - (2 + w)).
54
Let d = 13625/7 - 1940. Let c = -20676378/49 - -421966. Calculate the common denominator of d and c.
49
Suppose -4*q - 216 = 4*v, -2*v + 143 + 97 = -4*q. What is the smallest common multiple of -8 + 3 + (q - 7)/(-5) and 6?
24
Let p be (-393)/(-21) - (-4 - 52/(-14)). Calculate the common denominator of (3/240)/(p/(-342)) and -9/32.
160
Let h = 11/79 - -2813/790. Let y = -7240159/168 - -43096. Calculate the common denominator of y and h.
840
Let t = -24530 - -883025/36. Suppose -4*j - 242 + 55 = -g, -517 = -3*g + j. Find the common denominator of t and (-1 - g/(-24)) + 2.
72
Let h = -76044 + 25778947/339. Find the common denominator of h and -61/33.
3729
Let i = 813547/45820 - 1390/79. Calculate the common denominator of i and 25/348.
1740
Suppose 65 = 5*t + 5*v, t - 1248 = 5*v - 1205. What is the least common multiple of 404 and t?
3636
Suppose -15*j + 3256 = -26*j. Let l = -164 - j. What is the lowest common multiple of l and 24?
264
Find the common denominator of (-50)/32 + 3 + ((-88)/2)/(-11) and 17/8.
16
Let f = -23913/4 + 5983. Find the common denominator of f and