. Let y = 22 + -18. Find the common denominator of (-2)/10 - y/(-8) and g.
70
Let t = 297 - 296. What is the common denominator of 127/18 and (4075/1350 + t + -4)*-73?
54
Suppose -44*a + 8345 + 23335 = 0. Calculate the lowest common multiple of a and 15.
720
Let p = 64323 - 1929679/30. What is the common denominator of p and (-1 - 0)/((-33)/(-32))?
330
Suppose 35*q = -2565 - 3490. Let l = 285 + q. Calculate the smallest common multiple of l and 56.
112
Let h = -1422056/865735 - -1114/701. Calculate the common denominator of 119/190 and h.
2470
Suppose 3*q - 3*g - 78 = 0, 4*q - 64 = 63*g - 64*g. Calculate the lowest common multiple of 1863 and q.
3726
Let c = -219085/137254 + 1/21116. Find the common denominator of ((-58)/116)/((-390)/1100) and c.
156
Let g = -854681/24 - -35607. Find the common denominator of g and (255/9)/(1 - -7).
24
Let q(m) = 3*m. Let u be q(1). Let a(p) = -7 + 2*p**2 + p + u*p - 14*p. What is the least common multiple of a(6) and 16?
80
Let c = -4625 - -55535/12. What is the common denominator of 76/1761 and c?
7044
Suppose 4*z - i - 31 = 0, -4*z - z = i - 41. What is the common denominator of ((-2)/(-28))/((-19)/893) and ((-12)/(-120))/(z/10)?
56
Suppose -40*z + 400 = -0. What is the lowest common multiple of (2*1)/(20/740) and z?
370
Let c be (-10)/45 + (-72032)/18. Let s = c + 31953/8. Calculate the common denominator of s and -2*2/(-24)*432/(-32).
8
Let w(r) = -2*r**2 - r + 1. Let t be w(-1). Suppose t*n + 5 = n. Suppose -m + z = -35, -n*z = -2*z + 15. What is the least common multiple of 27 and m?
270
Suppose -25 = -2*g + 5*j, 2*j - j = -g - 5. Suppose 2*y = -8, 5*z - 3*y - 2*y + 40 = g. Calculate the lowest common multiple of 15 and 10/(2*(-4)/z).
15
Let f(v) = 133*v + 26. Let r(p) = p. Let u(x) = f(x) - 6*r(x). Let q be u(-2). Find the common denominator of 3 + -13*(-54)/q and -121/6.
114
Suppose -1001*r - 4955 = -1004*r - 5*w, -2*r + 3*w + 3316 = 0. What is the smallest common multiple of r and 1324?
6620
Let c = 486 - 16525/34. Let b(y) = y**3 - 8*y**2 + 5*y - 4. Let d be b(4). Calculate the common denominator of c and 632/d*3*-1.
34
Suppose 3*i - 62 - 160 = 0. Suppose 0 = 3*n - 11*n - 440. Let l = i + n. Calculate the common denominator of l and -46/3.
3
Let c = -37186397/1150 + 32336. Find the common denominator of 57/2 and c.
1150
Find the common denominator of -47/48 and (-1613)/2980 + 4/8.
35760
Let q = 9971/305932 - -25/748. Let u = -9116902627/795963080 + 3141/243265. Let n = q + u. Calculate the common denominator of n and -1/2.
8
Suppose 2*a - 4434 = 2*w, -2205 = -a - 49*w + 48*w. Calculate the lowest common multiple of a and 6.
4422
Let a = 24 - 15. Let u = a - -2. What is the least common multiple of u and 30/(-25)*(-2)/(-4)*-5?
33
Let t = -2463975/92 + 26782. Calculate the common denominator of t and 93/412.
9476
Let p = -14247/602602 - -9/946. Find the common denominator of p and 25/784.
10192
Let c(s) = -s**2 - 2*s - 4. Let a be (-273)/(-52) - (-1)/(-4). Find the common denominator of c(a) and ((-124)/(-272))/(6/(0 + 24)).
17
Suppose 11*p = 10*p + 69. Suppose 3*g + l + 2*l = p, -5*g + 3*l + 91 = 0. Calculate the least common multiple of 40 and g.
40
Let q = -7160705/55056 - 1/3441. Let h = 130 + q. Find the common denominator of 0 - 67*(-2)/8 and h.
16
Let p = -1568 - -17234/11. Let k be (-274 + 0)/((-372)/(-6541)). Let v = k + 4799. Find the common denominator of v and p.
66
Suppose -4*n + 5*z = 59 + 2125, -3*z = 5*n + 2730. Let u = n + 646. Calculate the least common multiple of u and 8.
200
Suppose 3*l - q + 0*q + 6 = 0, 0 = 5*l + 3*q + 24. Find the common denominator of l + (3420/(-176) - (-10)/55) and (-1)/2 - (-32)/15.
60
Let f = -49083/8 + 6146. Find the common denominator of -7 + 258/216 + -4 + 10 and f.
72
Let g = 4052659/95 + -42659. What is the common denominator of g and 41/19?
95
Suppose -3*p = -4*p + 3*s + 23, 5*s = -p - 17. Suppose 4*j + 3 = 2*i + i, j = -i + p. What is the smallest common multiple of 190 and i?
190
Let o(s) = -3*s + 58. Let c be (2 - -2) + (21 - 1). Let w be o(c). What is the least common multiple of (-30*4/42)/(4/w) and 22?
110
Let q = -5 + 5. Suppose q = 3*s - s - 12. Suppose -6*g = -8*g + 6. Calculate the smallest common multiple of s and g.
6
Let k(t) = -19*t**3 - 2*t**2 - 2*t - 1. Let x = -4866 + 4869. What is the lowest common multiple of k(-1) and x?
18
Let l = -5/134 - 2217/737. Let q = -1 - -4. Calculate the common denominator of 39/(-32)*(q - 4) and l.
352
Let i = 822 - -419. What is the common denominator of -2 - i/119*1/(-2) and ((-279)/(-6) - 1)/((-3)/(-1))?
42
Let h be -1 + -4 + (8 - 6). Let m = 21 + h. What is the least common multiple of 30 and m?
90
Let n(g) = 4*g**2 - 4*g + 7. Let y be n(2). Let x be -72*(-20)/y*-3. Find the common denominator of 35/6 and (-8)/18*6/(x/(-606)).
18
Find the common denominator of ((-288)/50 + (-39 - -45))/(1956/(-345)) and 20/1467.
14670
Let f = 18288365653/75 - 243861868. Let r = f - -16993. Find the common denominator of 16/55 and r.
825
Let a be ((-4)/(-24))/(55/(-922701)). Let z = 770492 + -3866456/5. Let v = z - a. Calculate the common denominator of v and -20/9.
198
Let q = 42 - -92. Suppose -5*u = 2*s - 59, 12 - q = -5*s - 4*u. Suppose -4 = 3*b - s. Calculate the lowest common multiple of 14 and b.
42
Let n = 128/19 - 1253/76. Let x = -15809 + 316247/20. Let b = n + x. Calculate the common denominator of b and 49/6.
30
Let i(m) = m**3 + 5*m**2 + 6*m + 6. Let t be i(-4). Let d = 32597 - 32575. What is the least common multiple of 15 and (d + -4)/(t + (-31)/(-14))?
420
Let x = 236750 - 116480917/492. Find the common denominator of x and 17/148.
18204
Let m = -3160/909 + 17140147/4955868. Calculate the common denominator of m and 49/1128.
32712
Let k = 9449/30303 + -2/4329. Calculate the common denominator of -1/182 and k.
546
Let r = 1773 + -1094. Find the common denominator of 33/80 and -1 - (r/(-280) + 3).
80
Suppose 3*k + 4*q - q - 4650 = 0, -2*k = -q - 3085. Suppose -19*x = -16*x - k. What is the common denominator of 5/(-6)*x/125 and -71/3?
30
Let j = 19 + -15. Let m(g) = -27*g**2 - 3*g. Let o be m(j). What is the common denominator of -15/14 and 9/o*10/15?
518
Let l(d) = -2*d**3 - 102*d**2 - 97*d + 174. Let x be l(-50). Let z be 17/(-2) + 3/6. What is the common denominator of (4*3/x)/(z/(-9)) and -19/6?
48
Let d be (-70)/(-14) + 1/((-64)/(-3607201)). Let s = d + -56366. What is the common denominator of s and -1/40?
320
Let l be 0 - 2 - 4/(264/9515). Let d = l + 10511/72. Find the common denominator of -50/33 and d.
792
Calculate the common denominator of -11/71 and (13384/(-4473) - -3)/((-60)/65 + 1).
639
Let j = -4/7579 - 219707/159159. Find the common denominator of -74/3201 and j.
22407
What is the common denominator of -23/89 and 315/1780 - ((-99)/(-36) + -3)?
89
Let k(a) = -a**3 + 20*a**2 + 36*a + 16. Let g be k(22). Let q = g - -260. What is the least common multiple of q and 20?
100
Let w = -2/14145 + -36769/56580. Find the common denominator of 0/4 - (-123)/20 and w.
20
Suppose 2*k - 9 = 1. Suppose 4*j + 16 = 0, 26 = 2*u - k*j + j. Suppose -23 = -4*p + u*l, -3*p + 33 = l - 8. Calculate the lowest common multiple of p and 4.
12
Suppose 0 = -k + 4*f - 26, -f + 2 = -3. Find the common denominator of k/(-27) - (-130)/(-450) and -11/2.
30
Let n = 621/2 + -73905/238. Find the common denominator of -55/306 and n.
2142
Let o = -262 + 266. Calculate the common denominator of -125/48 and o/14 - 313/(-252).
144
Let h = 959248 + -23013607/24. Let n = 347 - h. What is the common denominator of 73/96 and n?
96
Let r = -274 + 279. Suppose r*t = 24*t - 760. What is the lowest common multiple of 80 and t?
80
Calculate the least common multiple of 48 and 96/80*-5 + 190.
1104
Let t(u) = -u**3 - 19*u**2 + 20*u + 24. Let n be 178/4 - (-3)/2. Let y = n - 34. What is the lowest common multiple of t(-20) and y?
24
Suppose 4*g - 2*g - w = 5, 3*g = -5*w + 14. Let c(q) be the first derivative of q**2/2 + 2*q - 11. What is the smallest common multiple of c(4) and g?
6
Find the common denominator of -29/69 and (19515/(-4878) + (-8 - -12))*-94.
18699
What is the lowest common multiple of 1740 and -1 - -9 - (57 + -57)?
3480
Let o = -766 - -799. Calculate the smallest common multiple of o and 30.
330
Let b = -48 - -37. Let r