 + (-73 - -70) and -19/118.
1062
Let z = 22395 + -22329. What is the smallest common multiple of z and 847?
5082
Let y(q) = q + 5. Let p be y(-7). Let f(r) = -r. Calculate the least common multiple of f(p) and ((-8)/(-6))/((-21)/(-252)).
16
Let t(d) = -5*d**2 - 57*d - 19. What is the smallest common multiple of 30 and t(-8)?
1170
Calculate the common denominator of ((-113)/(-6))/((1500/525)/((-4)/(-14))) and 91/1812.
9060
Let v = -303581 + 4741631641/15619. Let l = v + -1546361/624760. Calculate the common denominator of -113/10 and l.
40
Suppose -y + 5 = -10. Suppose 54 = 3*j + 213*b - 214*b, -2*j + 36 = -2*b. Let s = j - y. What is the smallest common multiple of 18 and s?
18
Let s(d) = d**3 - d**2 - 7*d + 1. Let g be s(3). Calculate the smallest common multiple of 78 and 55 + -3 + (2 - (g + 8)).
624
Let w be (105/75)/(142/(-926)). Let c = 485493/71 + -6837. Let i = w + c. What is the common denominator of i and -14/9?
45
What is the lowest common multiple of ((-1827)/(-174))/(2/16) and 224?
672
Let u be 6463771790/90060 + 2/12. Let n = u - 71772. Let d = n + 91449/21014. What is the common denominator of 21/8 and d?
56
Suppose 4*x - 1785 = -13. Suppose -x = -5*p - 43. Calculate the least common multiple of 5 and p.
80
Let w = -4 + 7. Suppose -2*r + 5*y = 3*y - 134, 0 = -w*r - 4*y + 236. What is the lowest common multiple of r and 90?
360
Suppose 17*a - 4884 = -1348. Calculate the least common multiple of a and 56.
1456
Let d be (4869/3 + 3)*7. Suppose -11*b = -9*b - d. Let h = 102539/18 - b. Calculate the common denominator of h and 15/2.
18
Suppose 0 = -2*s + s + 668. Let m be 4/(-12) + -1 + s/6. Find the common denominator of 10*(-3 + m/24) and -79/14.
42
Let f = -12/8807 - -1158325/3381888. What is the common denominator of f and -1/2784?
11136
Let z = 4 + -7. Let s(t) = -5*t**2 + t + 7. Let g be s(z). Let n = g - -53. What is the smallest common multiple of n and 18?
36
Let s(v) = v + 79. Let k = -46 + 35. What is the lowest common multiple of s(k) and 8?
136
Let y(c) = -4*c**3 + 9*c**2 - 23*c + 4. Let o be y(4). What is the least common multiple of 22 and (o/(-3))/((-1)/9*-3)?
2200
Calculate the common denominator of -23/2790 and (-55)/27*30/240*-24.
2790
Let b = 454361/27 + -16831. Let l be (-919)/4 + (-2)/8. Calculate the common denominator of 2/(-8) + l/(-48) and b.
216
Let a = -168 - -258. Suppose -26*d = -21*d - a. What is the lowest common multiple of 160 and d?
1440
Let h(b) = 7*b - 16*b + b**2 - 29 + 6*b + b. Let r be h(10). Let j = r - -5. Calculate the least common multiple of 6 and j.
168
Let h be 4*19/18 - 2/9. Suppose 3*a - 3*p = h*a + 17, -4*a + 4*p + 12 = 0. Calculate the least common multiple of 8 and 6*((-6)/(-36))/(a/(-148)).
296
Suppose 0 = -l - 5*u + 1059 - 384, 0 = 5*u - 15. What is the least common multiple of 660 and l?
660
Suppose -2*j = -5*o + 278, 0*o + 3*o - 5*j = 163. What is the least common multiple of 18 and (-15)/(-9)*(o + 0 + -2)?
90
Find the common denominator of -101/12 and 5/(35/28) + -9 + 53450/10760.
3228
Suppose 2*b + 2*b + 276 = 0. Let d(n) = 251*n - 3189. Let k be d(13). Let c = b + k. Calculate the smallest common multiple of c and 25.
25
Suppose 3*y - a = -20248, 2*y - 27001 = 6*y - 5*a. Let w = y - -67561/10. What is the common denominator of w and -2?
10
Let s be -12*((-75)/(-916))/5. Let j = 386355610189/1832 + -210892793. Let n = j + s. Calculate the common denominator of -69/8 and n.
8
Let j(n) = -n + 167. What is the lowest common multiple of j(67) and 225?
900
Let l be 2 + 15/(-6) - (-3)/6. Suppose -j - 3*m = l, 0 = -5*m + 2*m - 6. Calculate the least common multiple of j and 18/15*(-20)/(-4).
6
Let c(a) = a. Let p(o) = -4*o - 20. Let n(b) = 2*c(b) + p(b). Calculate the least common multiple of 30 and n(-12).
60
Let k = -189 - -183. Calculate the common denominator of (-1)/k*2*(-1242)/12 and 85/86.
86
Let w = -7943/135 - -1657/27. Find the common denominator of 2 - (-191)/(-117) - 1 and w.
585
Let g = 1618 + -1616. Calculate the common denominator of 125/(-12) + (1 - 1) and (104/27 - g) + 108/(-216).
108
Let r = -14474 - -7778. Let t = 3316629 - 53173113/16. Let z = r - t. Find the common denominator of z and -19/340.
1360
Let q(m) = -265*m + 1126. What is the smallest common multiple of 834 and q(4)?
9174
Let w = -8453 - -8462. What is the smallest common multiple of 684 and w?
684
Let c = 16929 + -1185123/70. What is the common denominator of -41/35 and c?
70
Let f be 2*((-4)/(-6) - 15/(-18)). Let z be (f/9)/(2 + (-46)/24). Suppose z*s = 3*d - 22 + 3, -4*s = 4*d - 16. What is the least common multiple of 10 and d?
10
Let v = -1228277/42 + 29247. Let b = 52 + -8. Calculate the common denominator of v and (-2)/(-30)*(-5665)/b.
84
Suppose 2*l - 284 = -4*t, -8*t + 12*t - 4*l - 260 = 0. What is the common denominator of ((-1190)/(-1100))/17*t/7 and -29/11?
110
Let w(f) = 121*f + 1050. Calculate the lowest common multiple of 287 and w(-8).
574
Let k(b) = -2*b**2 + 8*b - 4. Let j be k(3). Suppose -4*y - 3*z + 21 = 0, -4*y + z - j = -43. Calculate the smallest common multiple of y and 5.
45
Let q = 23081/9 - 2562. Let b be 0 + -2 + (-1117)/873. Let c = b + 1/582. Find the common denominator of q and c.
18
Let a(g) = -9*g + 14. Let x be a(1). Suppose 0 = -3*p + l - 1, -2*p + x*l - 17 = p. Calculate the least common multiple of p and 13.
13
Suppose 150 = -2*f + 4*f. Let m(j) = 6*j + 173. Let s be m(-29). What is the lowest common multiple of f and ((-1)/(-4) + 0)*(s - -61)?
75
Suppose 2*j - 249 + 219 = 0. Let z(u) = 2*u**3 - 9*u**2 - u + 13. Calculate the lowest common multiple of z(5) and j.
165
Suppose 5*q + 3*d = 39, 4*d - 1 - 29 = -3*q. Suppose 2*u = u + q. Calculate the smallest common multiple of 264/9 + 1/(u/4) and 21.
210
Let r(f) = f**2 + 5*f + 3. Let i be r(-3). Let p = 156/271 - 35155/9756. Find the common denominator of p and 2/i*(-413)/168.
36
Suppose -12*l + 11*l + 2*v + 41 = 0, 0 = 5*l - v - 196. Suppose -2*c + 1 = -2*p - l, -4 = -4*p. Calculate the lowest common multiple of c and 9.
63
Let w = 4707 - 2763. What is the smallest common multiple of 72 and w?
1944
Suppose 2*z - 11 = 5. Suppose -4*n + 11*n - 154 = 0. Suppose n = 5*o - 38. What is the least common multiple of z and o?
24
Let z = 271 - 244. Suppose -4*a - 552 = -z*a. Calculate the lowest common multiple of a and 36.
72
Let n be (-3)/(-5 + 2)*4. Suppose -3*w - n*s - 89 = 0, 5*s + 145 = -5*w - 0*s. Calculate the lowest common multiple of 11 and (-16)/(-3) - (-9)/w.
55
Let q = -11 + 21. Let s = 77 + -13. Calculate the smallest common multiple of (5/(-10))/((12/(-3))/s) and q.
40
Suppose -4*b - 2*i + 8 = -2, -4*i = -4*b - 8. Calculate the common denominator of (16/(-64) + b/(-2))/3 and -51/5.
20
Suppose -40 = -28*g + 23*g. Suppose -7*j - j + g = 0. What is the common denominator of -17/29 and -3*j*220/(-75)?
145
Let i = -3596 + 3614. Calculate the smallest common multiple of i and 282.
846
Let h = -12962 - -142526/11. Suppose 2*l - 3*y + 70 = 0, 0 = l - y - 3*y + 30. Calculate the common denominator of (-1)/(l/(-12)) + -1 and h.
209
Let c = 939/4 + -236. Let t = -1705/2 - -941. Let w = -389/4 + t. Calculate the common denominator of c and w.
4
Let x be (-243)/(-108)*(-322 - 0). Let m = 747 + x. Calculate the common denominator of m and 4/(40/39) - -1.
10
Let a(v) = v**2 - 8*v + 12. Let i be a(4). Let l be (4 - 15)/((-1)/i). Calculate the common denominator of -67/15 and (278/l - -7)*(-32)/10.
165
Let j be 174*(969/(-9) - -4). Let v = j + 541319/30. What is the common denominator of (-13)/(-260)*2540/(-48)*2 and v?
120
Let x be (-64)/(-112) - (-176)/(-14). Let z be ((-1480)/x)/(-2)*195. Let v = -264645/22 - z. Calculate the common denominator of v and -95/6.
66
Let k = 293/4 - 853/12. Calculate the common denominator of -27/11 and k.
66
Let j = -159761438939/1368 + 116784684. Let v = -18419/848616 + -9/3722. Let t = j + v. What is the common denominator of -7/16 and t?
144
Calculate the common denominator of 50/111 and ((3/3)/(7/(-149)))/(264/(-14)).
4884
Suppose -4*r + 19 = 79. Let z = 104 + -98. Calculate the smallest common multiple of z and (-5)/r - (-65)/3.
66
Find the common denominator of ((-1)/15)/((-14)/246) and (-1296)/(-1600)*-15 - -8.
140
Let t(p) = -28*p**3 + p**2 + 2*p + 2. Let a be t(-2). Let y = a + -15