67/12.
60
Suppose 16*h - 19 = -3*h. Let j be 3*(-2882)/(-8622) - h. Let m = j + 104885/5748. Find the common denominator of -49/10 and m.
20
Suppose -5*y - 54 = -2*i, 106 = 2*i + 3*i + 2*y. Suppose -1080 = -i*q + 14*q. What is the smallest common multiple of q and 45?
135
Calculate the common denominator of 113/660 and 658495/54900 - (-1 + 13).
1980
Suppose -4*v - 3*j + 20 = -0*j, -5*v - 3*j + 22 = 0. Let n(z) = 6*z - v + 5*z + z - 2*z. What is the least common multiple of 38 and n(2)?
342
Let n = 14995 + -44938/3. Calculate the common denominator of n and 13/12945.
12945
Suppose 3*w - 4*k - 140 = 0, -2*k = 23*w - 21*w - 98. What is the lowest common multiple of 18 and w?
144
Let m = 24147/875 - 138/5. What is the common denominator of -41/250 and m?
1750
Suppose -697*z = -608*z - 7861 + 296. What is the least common multiple of 15 and z?
255
Let z(t) = -2*t - 3. Let x be z(1). Let h be 1 + -3 + 10/x. Calculate the least common multiple of 22 and (-250)/(-40) + 1/h.
66
Let z be (-2519589)/3612 + 4 + -2. Let u = z - -9735/14. What is the common denominator of u and -21/5?
860
Let c = 5774/5 + -1148. Suppose 8*r - 4386 = 14*r. Let q = -6590/9 - r. What is the common denominator of c and q?
45
Let q = -123 + 81. Find the common denominator of 380/112 - (-117)/(-156) and q/11*1/(-4).
154
What is the lowest common multiple of 572 and 19624/44 - (15 - -2)?
1716
Let p be ((-3)/(-4) - 6/(-24))/1. Let n be p/(729/570) + 0. Let s = 12719/12636 + n. Calculate the common denominator of s and 85/4.
52
Suppose -2*r - 3*i = -17, -2*r + i = -7*r + 23. Suppose -4*v = -108*m + 106*m - 26, 0 = -v - r*m + 2. Calculate the lowest common multiple of v and 2.
6
Suppose -28 = 12*p - 5*p. Let g = -921 + 954. What is the lowest common multiple of g and p/18 - (-8390)/90?
1023
What is the smallest common multiple of 1394 and (-20 - -2)*8/(-12)?
8364
Let n be ((-38)/776080)/((-6)/353308). Let d be 407453/(-106711) + 4 + 172/22 + -8. Let h = n - d. Find the common denominator of h and -11/2.
60
Let s = -9 - -19. Suppose b + b + s = 0. What is the lowest common multiple of ((45/(-12))/b)/((-7)/(-112)) and 14?
84
Let c(d) = -d**3 - 8*d**2 + 121*d - 104. Calculate the smallest common multiple of c(-16) and 5975.
47800
Let q be (20/4 - 9)*(-3)/(-2883). Let n = q - -41363/9610. Calculate the common denominator of -111/80 and n.
80
Let q = -40 + 51. Let w(v) = -v**3 + 11*v**2 + 2*v - 17. Let z be w(q). Calculate the common denominator of (z - 59)*(-1)/(-2) and -81/10.
10
Let v = 10/953 + -114907/142950. Find the common denominator of 71/405 and v.
4050
Let c = -37/7487 - -406129/15520551. Find the common denominator of -53/60 and c.
41460
Let t = 39476 - 73136. What is the common denominator of 95/2 and 18135/t - (-2)/(-11)?
68
Suppose -4*y = -2*n - 180, -4*n - 396 = -4*y + 5*y. Find the common denominator of 55/54 and (-70)/35 + n/18.
54
What is the common denominator of (178/144*2)/(26 + (-2288)/156) and -33/20?
2040
Let l(j) = 21*j + 81. Let s be l(-3). Let h(g) = g**2 - 15*g + 9. What is the lowest common multiple of h(s) and 54?
378
Suppose -25 = -5*t + a, -10*a - 9 = -4*t - 7*a. Calculate the common denominator of 7/340 and (t/(-44))/(17/34).
3740
Calculate the common denominator of 254/36 + 1/3 and ((-1488)/(-28))/(-3)*469/(-5226).
234
Let m = -687902 + 687910. What is the least common multiple of m and (2 + 1960)*(-4)/(-6)?
2616
Suppose -119*x - 54*x + 37772 = -40*x. Suppose 8 - 50 = -3*g. Calculate the least common multiple of g and x.
1988
Suppose 3*j + 7 = 2*t, -6*j - 3 = -2*t - 7*j. Suppose 32 + 8 = t*v. Calculate the smallest common multiple of 3 and v.
60
Suppose -12 = 2*i - y + 12, 0 = -i - 3*y - 5. What is the common denominator of (-2)/i + (-105)/(-77) and 63/8?
88
Let w = 13098 + -7591. Let y = 49624/9 - w. What is the common denominator of y and 70/52 - (-1 + 2)?
234
Let j = 2363/8184 - 247/341. Calculate the common denominator of -127/168 and j.
1848
Suppose 2*g = -l - 11, l + 2*g + 2 = 3*g. Let r = l - -29. Let a = 46 - r. What is the least common multiple of 14 and a?
154
Let h(v) = -v**3 + 16*v**2 - 13*v - 23. Let k be h(15). Suppose -2*q + 2 = -5*u - k, 5 = 5*q + 5*u. Calculate the smallest common multiple of q and 64.
64
Suppose 2*g + 0 = 10. Suppose 0 = -4*b - g*n - 364, 2*n = -b + 4*n - 78. What is the lowest common multiple of 12 and b/(-7) + 8/140*-5?
12
Suppose 41*s - 64*s + 4485 = 0. Calculate the lowest common multiple of 273 and s.
1365
Let d = -12712 + 13712. What is the least common multiple of 1200 and d?
6000
Let f = 64329/8 + -4117129/512. What is the common denominator of 19/128 and f?
512
Let g = 28161 + -252335/9. Let m = -4597/36 + g. Find the common denominator of m and -37/24.
24
Let o = 98042 - 17843701/182. Calculate the common denominator of 95/72 and o.
6552
Let s = 10033 + -240883/24. Let z be 77690/8400 - 4/(-10). Let u = z + s. What is the common denominator of 17/10 and u?
70
Let y(i) = i**3 + 7*i**2 + 6*i. Suppose 2*t - t = 3*o - 1045, 5*o + 2*t = 1760. Let r = 378 - o. What is the smallest common multiple of y(-5) and r?
140
Let s = -54846 + 54871. Calculate the least common multiple of ((-40)/3)/(1/(-3)) and s.
200
Let s = -25775 + 618455/24. Suppose 972 = -10*a + a. Find the common denominator of 64/a*8 + (-4)/(-1) and s.
216
Let d(z) = -z**3 - 44*z**2 - 318*z - 17. Suppose 0*q = -q + 6. What is the smallest common multiple of q and d(-9)?
30
Let w = 12034/7 - 7627/7. Let l = -210563/336 + w. Calculate the common denominator of -13/16 and l.
48
What is the common denominator of (-27 - 8)*(2/(-15) - (-15579)/117855) and -85/252?
24444
Calculate the common denominator of -13/408 and 299/54 + (7/(-7))/((-9)/(-27)).
3672
Suppose 0 = -4*k + 37 + 3. Suppose 4*w - 36 = -r - r, -5*r = 2*w - k. What is the lowest common multiple of 6 and -20*(-14)/w*65/52?
210
Let k = 34807232/105 + -331529. Let f be (-15884)/1155 - 8 - 4/(-5). Let x = k - f. Calculate the common denominator of -9 and x.
5
Let x = -2916 + 3330. What is the least common multiple of 10 and x?
2070
Let k be (-16)/(352/(-33))*216740/(-108). Let o = -10245 - -7233. Let p = k - o. Find the common denominator of p and -73/6.
18
Suppose 2*p - 260 = -p + 5*i, 5*i - 10 = 0. Let l = p - 76. Calculate the lowest common multiple of 42 and l.
42
Suppose c + 4 = 0, 0 = -4*x + 9*c - 7*c + 2464. Let d = x - 564. Calculate the common denominator of d and -145/24.
24
Let u = -10/29 - -543/145. Suppose -4*i + 3271 = -j, -3*j - 3301 = -4*i - 8*j. Find the common denominator of (6/45)/((-26)/i) and u.
5
Let f = -202 + 161. Find the common denominator of 1/3 + 190/645 and (2 + -3)*f/(-11).
473
Let s = -219473/12 + 18279. What is the common denominator of s and (-11)/(-132) + (-50)/(-6)?
12
Suppose 44*h = 899 + 9890 + 11123. What is the lowest common multiple of h and 36?
2988
Let y = -2701/1266588 - -1/604. Let b = 39133/23067 - y. Let r = 285290/33 - 8644. What is the common denominator of r and b?
33
Let j = -38123/2 + 556481435/29194. Let v = j - 802863/204358. Calculate the common denominator of 705/66 - ((-12)/(-18) - (-16)/3) and v.
154
Suppose 0*h = -h + 5. What is the lowest common multiple of 296/111 + (-434)/(-6) and h?
75
Let d = 2029007/180 + -399611/45. Let o = -2390 + d. What is the common denominator of o and -113/30?
60
Let p be -13 + (1 - -1) + -3. Suppose 28 = 5*c + 2*s, c + 17 = 5*s + 1. What is the lowest common multiple of (-60)/p - ((-112)/(-49) - 2) and c?
4
Let t(f) = 18*f**2 - 200*f - 10. Let r be t(15). Let a = r + -1036. Calculate the least common multiple of 4/14 + (-96)/(-7) and a.
28
Suppose -5 = -17*o + 14*o + 2*y, -3*y = -5*o + 10. Calculate the common denominator of (2/o + 18/20)*2 and 79/75.
75
Let j = -208601/36 + 5793. What is the common denominator of -127/460 and j?
4140
Let d(v) = -10*v - 117. Let b be d(-16). Let g be 17/(2 - 15/9). Let u = g - b. Calculate the least common multiple of u and 1.
8
Suppose -2*p - 79*p + 324 = 0. Calculate the least common multiple of p and 24.
24
Suppose 3*b - 6*w = -3*w + 354, 2*w = b - 123. Suppose -b*h + 96*h + 1700 = 0. Calculate the lowest common multiple of 10 and h.
100
Let b = 16791 + -28981265/1726. Let a = b + -81155/56958. Find the common denominator of a and -53/99.
99
Suppose -3 = z, 5*z = -b + 5 - 