
Suppose -8*x - 19 = -67. Let j = 12 + x. What is the smallest common multiple of j and 8?
72
Let f = 98502 + -98440. Let h = -1 + 3. What is the lowest common multiple of h and f?
62
Suppose -h - 7 = -b, -3*b + b + 3*h = -17. Suppose 6*x + 4*u = 4*x + 12, 5*u + 11 = b*x. Find the common denominator of (x - 15/(-36))/((-1)/(-1)) and -53/15.
60
Suppose 4*k - s = 6*k - 25, 3*k = s + 40. Suppose -k*u = -0*u - 208. Calculate the smallest common multiple of u and 2.
16
Let a = -24721/365960 + -2/6535. Let v = 775237/65514 + 2/10919. Calculate the common denominator of a and v.
840
Suppose z = -2*h - 9, 12*z - 8*z + 24 = -5*h. Let c(t) = -11*t - 5. Calculate the lowest common multiple of 13 and c(h).
39
Let d = 3/572 + -4293/572. Calculate the common denominator of d and -79/17178.
17178
Find the common denominator of ((-85080)/(-155) + 10)/80 - (5 - -2) and 73/16.
2480
Let m = -4076416797707/836 - -4876095884. Let v = -8392/11 - m. Calculate the common denominator of -43/20 and v.
380
Let t = -132026 + 132027. Let o = 43 + -26. Calculate the lowest common multiple of t and o.
17
Let j = 193 + -76. Let s = 133 - j. Let m = -17 + 27. What is the lowest common multiple of s and m?
80
Calculate the least common multiple of ((-193)/579)/((-2)/23340) and 75.
58350
Let s(h) = h**3 - 5*h**2 + h - 5. Let r be s(5). Calculate the lowest common multiple of 7/(3 - 2) - (-2 + r) and 312.
936
Suppose -4*b - 3*o = 196, -3*o + 30 = -b + o. Let w = b + 3. Calculate the common denominator of 91/6 and w.
6
Calculate the common denominator of 18/(-110)*(-1)/(-6) and 4564/(-1617) - (-28)/42*((-1)/(-7) - -2).
330
Let f = -145039/3 - -47134. Suppose -5*s - 2381 = -2*g, 2*g - 5*s = 6*g - 4747. Let j = g + f. Calculate the common denominator of 35/6 and j.
6
Suppose 149*k - 144*k = 15. Let x(m) = 2*m - 4. Let p be x(5). Suppose w - 15 = p. What is the lowest common multiple of w and k?
21
Let d = -36 - 65. Let k = -88 - d. Calculate the least common multiple of 2 and k/(52/30) - 2/(-4).
8
Let u = -3365 - -3459. What is the lowest common multiple of u and 282?
282
Let m = 313 - 325. Find the common denominator of ((-680)/m)/5*(-10)/(-15) and 133/162.
162
Let z = 1648 - 1637. Calculate the least common multiple of z and 371.
4081
Suppose -s = -12*m + 11*m - 827, -4*m - 2483 = -3*s. Calculate the least common multiple of s and 450.
4950
Suppose 17*j - 105 = -4*j. Suppose j*u + 116 = 4*b + 4*u, b = 3*u + 18. Calculate the lowest common multiple of b and 45.
90
Suppose -4*v = -3*n - 147, 4*v = -3*n + 1254 - 1161. Calculate the lowest common multiple of 3393 and v.
33930
Calculate the common denominator of -25/128 and (82768/(-3072) - -27)/(-2 + (-23)/(-13)).
1152
Let o(c) = -3*c**2 - 9. Let y be o(7). Let r = y - -1409/9. Find the common denominator of 14/3 and r.
9
Let d = -563 - -553. Let k(z) = 37*z**2 - 3*z + 2. Let o be k(2). Find the common denominator of (-22)/d*90/o and 97/8.
8
Let g = 15991/8880 + -143/111. Find the common denominator of 123/320 and g.
320
Let q = 14/373 - 13081/219324. Calculate the common denominator of 53/3 and q.
588
Calculate the common denominator of 592830/97524 - (6/1 - 0) - 0 and 1/90.
3870
Let z(a) = 38*a + 575. Calculate the least common multiple of z(-15) and 623.
3115
Find the common denominator of 41/21 and (4/10*(-16)/192)/(3/(-489)).
210
Calculate the lowest common multiple of 651 and ((-63)/(-57) - 1) + (-30681)/(-399).
7161
Suppose -3*j + 11*v - 4*v + 802 = 0, -v + 818 = 3*j. Calculate the least common multiple of 646 and j.
5168
Let q = 34806 - 33531. Calculate the lowest common multiple of 2805 and q.
14025
Let v = 18011 + -36071/2. Let s = -833/118 - -174277/37642. Let g = s - -52/29. What is the common denominator of v and g?
22
Suppose -128*s = -129*s - 2*i + 176, -5*s = 4*i - 910. Calculate the least common multiple of 155 and s.
930
Let y = -22/247 - -8102/2223. Find the common denominator of -8/33 and y.
99
Find the common denominator of (-101)/18*57/114 and (-278)/60 + 2/(-20).
180
Suppose -14772 = -4*m - 3*d, 290*d - 7372 = -2*m + 285*d. What is the least common multiple of m and 126?
11088
Let k = 3572 - 35749/10. Let l be ((-6)/(-2))/(11/(-38269)). Find the common denominator of l/(-420) - (-4)/10 and k.
20
Let a(i) = 253*i - 1. Suppose 0 = 5*v + 4*q - 0*q, 3*q = -5*v + 5. What is the lowest common multiple of v and a(1)?
252
Let j(u) = u**2 - 7*u - 15. Let p be (-1 - 2/4)/((-84)/(-112)). Calculate the lowest common multiple of j(p) and 17.
51
Let j = 1312019/472 - -23/472. Let w = -2797 + j. Calculate the common denominator of w and 4 + ((-990)/87)/3.
116
Let l be ((-4)/(-3))/(-10 + (-192)/(-18)). Calculate the common denominator of -53/28 and (-1)/(560/(-2085)) + l/(-7).
112
Suppose -5*h - 154 = 2*f - 3*f, f + 26 = -h. Let b = -10 - h. What is the smallest common multiple of b and 48?
240
Let n(c) = -c**2 + 6*c + 115. Let r be n(13). Calculate the common denominator of -47/48 and ((-18)/r*-302)/(159 + -6).
816
Let m = -16 - -20. Suppose m*i - 3*j = 63, -5*i + 2*j + 76 = 6. Let v(o) = o**3 + 29*o**2 - 32*o - 34. What is the lowest common multiple of v(-30) and i?
156
Let t(k) = -10*k. Suppose 3*g + 2*g - 3*x - 8 = 0, 2*g = 5*x - 12. Suppose 0 = 4*c, -v + 3*v + g = -5*c. What is the least common multiple of 2 and t(v)?
20
Suppose 2*c + c = -o, -4*c = 2*o. Suppose -p - 8*p + 135 = c. Calculate the least common multiple of p and 27.
135
Let l = -444 + 447. Suppose 2*d = 2*s - 18, 0 = -12*s + 11*s - 2*d + l. Let u(y) = y**2 - 3*y + 1. Calculate the smallest common multiple of s and u(5).
77
Let o(t) = 739*t - 1819. Calculate the lowest common multiple of o(7) and 14.
23478
Find the common denominator of (-441)/39984*172/(-18) and -79/544.
1632
Suppose r = -6, 0 = -44*z + 48*z + 5*r + 2. Calculate the least common multiple of z and 378.
378
Suppose -5*i = c + 4*c, 0 = -2*i - c - 3. What is the common denominator of 9/10 and ((-18)/i)/(-2) - 15?
10
Let n be ((-335106)/(-167554) + -2)*-1. Let t = n + -8126501/11058564. What is the common denominator of 3*(962/(-360) + 114/95) and t?
132
Suppose -5*s - d = -2*d - 66, -3*s - d = -46. Suppose -8*z + 0*z = 13*z - 168. Calculate the least common multiple of s and z.
56
Find the common denominator of 17/192 and (-27)/((-78246)/11707) - (-10)/(-2).
4032
Let x be (20/(6/3))/2. Calculate the smallest common multiple of 182/3 + ((-60)/18)/x and 54.
540
Let u(g) = -g**3 - 65*g**2 + 8*g + 664. Calculate the least common multiple of 5400 and u(-65).
10800
Let m = 2472/11 + -37597/165. Suppose 12*u - 7*u - 20 = -5*p, 4*p - 16 = 2*u. Find the common denominator of ((-188)/(-8) - -8) + 3 + u and m.
30
Suppose 0 = -3*f - 2 - 7. Let t = 204037/20 - 10204. Calculate the common denominator of (-146)/12 - f/12 and t.
60
Let j = -106171/24 + 4420. Let q = -4/31439 - -503052/220073. Calculate the common denominator of j and q.
168
Find the common denominator of 107/60 and ((-3)/(24/(-2)))/(2917/(-314) - -8).
1620
Let m = -2652295/58 + 45729. What is the common denominator of (-2)/(-4) + (-174)/(-16) and m?
232
Suppose -40*p + 104*p - 470 = 298. What is the least common multiple of 5544 and p?
5544
Let d(r) = r**3 + r**2 - 42*r + 60. Let n(v) = 2*v**2 + 4*v - 8. What is the least common multiple of d(0) and n(-6)?
120
Let x = 359 - 2092. Let j = 6859/4 + x. Calculate the common denominator of -79/6 and j.
12
Let n(y) = 9*y + 126. Let r be n(26). Suppose 19*z + r = 37*z. What is the lowest common multiple of 60 and z?
60
Let t(m) be the first derivative of m**4/4 - 8*m**3/3 + 3*m**2 + 15*m + 2. Let x be t(8). Let j = x + -23. What is the lowest common multiple of j and 12?
120
Let a(v) = -522*v - 366. Calculate the smallest common multiple of a(-2) and 4.
1356
Let k(u) = u**3 + u**2 - u. Let s(a) = -a**2 + 6*a + 5. Suppose 5*g - 27 = y, 0*y = -y - 2. What is the lowest common multiple of s(g) and k(2)?
10
Suppose 56 - 109 = -18*l + 1. Suppose -12 = g - 3*g. What is the smallest common multiple of g and l?
6
Let u = -31470 - -46822. Calculate the lowest common multiple of 11 and u.
168872
Let g be ((-8)/12)/(1/(-90)). Let d be -2*(-1)/(-4) - (-351)/g. Let j = d - 233/20. What is the common denominator of -37 and j?
10
Let j(n) = -11*n - 192. Let v be j(-18). Suppose -v*r = -2111 + 677. Calculate the