. Suppose -1112*j + 28 = -h*j. What is the least common multiple of 8 and j?
56
Let o(w) = w - 3. Let h be o(-5). Let k be 32/(-24) + h/(-6). Calculate the smallest common multiple of -2 + 4 + k + 6 and 8.
8
Suppose -35*b + 27048 = 14*b. What is the least common multiple of b and 759?
6072
Let y(x) = x**2 - 6*x - 8. Let l(f) = f**2 - 8*f - 2. Let i(p) = -3*p - 45. Let z be i(-18). Let j be l(z). Find the common denominator of y(j) and -13/11.
11
Let h = 45038 - 3062479/68. Find the common denominator of 95/296 and h.
5032
Let x = 109823/2901 + -333907505/8128602. Let l = x - 1/934. Let k = 457933/26 - 17615. Find the common denominator of k and l.
234
Let g(x) = -x**3 + 21*x**2 - 21*x + 60. Let i be 23 - (-2 - (-8 + 3)). Let j be g(i). Calculate the lowest common multiple of (j - 22)*(-1)/(1/(-2)) and 4.
36
Suppose 1743*d - 649 = 1684*d. Let z(w) = -w**2 + 8*w. What is the lowest common multiple of d and z(7)?
77
Let b(l) = 2*l - 109. Let q be b(14). Calculate the common denominator of 14 + -13 - q/84 and -59/64.
448
Suppose 2*x + 3*x = 30. Let u be ((-2)/(-1) - 0) + 34/17. What is the lowest common multiple of x and (-1088)/(-60) - u/30?
18
What is the common denominator of (-1)/(-8)*(18/(-52) - (-196)/(-1274)) and -157/552?
1104
Suppose 4*t - 1208 = 4*d + 3*t, -4*t - 604 = 2*d. Let j = d + 310. What is the smallest common multiple of 203 and j?
1624
Let c = 6171721/37254672 + 3/258713. What is the common denominator of -79/154 and c?
11088
Let w = 10294/11 - 3004913/3212. Calculate the common denominator of w and -95/24.
1752
Let a = 13535 + -12511. Calculate the lowest common multiple of a and 7.
7168
Let i be 28433043/(-15)*(-3 + 436/144). Let q = 52655 + i. Find the common denominator of q and (4/2)/((-48)/(-212) - 0).
60
Suppose 56 = 5*c - 6*j + 8*j, -3*c + 40 = -2*j. What is the least common multiple of c and 12?
12
Let o(n) = n**3 - 2*n**2 - 3*n - 8. Let m = -40 - -45. Suppose -5*t + 2*v = -36, 2*v = -t + 6*v. Calculate the lowest common multiple of o(m) and t.
104
Let q = 4586/15 + -701249/2085. Let m = 2070931/68388 + q. What is the common denominator of m and 41/14?
3444
Suppose 0 = 4*h + 88 + 4. Let b = -271/12 - h. Calculate the common denominator of 105/32*(-6)/9 and b.
48
Suppose 711*v + 5 = 712*v. Suppose 3*q - 27 = -4*b, v*q = -3*b + q + 22. What is the smallest common multiple of 3 and b?
6
Suppose -8*z + 1026*z - 3517 - 5645 = 0. Let b(g) = 206*g + 1. What is the smallest common multiple of z and b(1)?
207
Calculate the common denominator of ((-685)/30)/((-48 - 7) + -8) and -7/16.
3024
Calculate the common denominator of -14 - (-17 + -2) - (-90)/(-52) and 23/182.
182
Suppose -3*u = -5*t, 3*t + 3*u - 24 = -0*t. What is the common denominator of (-9)/(-9)*(-166)/(-22) - t and 73/9?
99
Suppose 4*y - 18288 = 5*j - 67969, -39712 = -4*j - 5*y. Calculate the smallest common multiple of 8 and j.
79464
Let u = -45 - -58. Suppose 100 = 4*c - 276. Calculate the common denominator of -101/18 and 30/c + u/26.
846
Suppose 8*a = 20*a - 60. Suppose 8 = -a*m + 3, -2*c + 2*m = -24. What is the lowest common multiple of 55 and c?
55
Let z = -932371/60 - -15541. Calculate the common denominator of (-82)/(-180) - (-24)/180 and z.
180
Let q(m) = 5*m**2 + 71*m + 172. Calculate the least common multiple of q(31) and 18.
64602
Suppose 25 = 22*s - 41. Calculate the common denominator of (s - (-177)/(-54))*(-860)/50 and 83/46.
414
Let f(g) = -g**3 + 3*g**2 + 3*g + 14. Let a be f(6). Let x = a - -81. Suppose -j = -x*t + 13, t + 4 = j - 3. What is the lowest common multiple of j and 22?
132
Let r(m) = -m**2 - 16*m - 6. Let x be r(-7). Suppose 0*d - b = 5*d - x, 4*b = 2*d - 14. Calculate the lowest common multiple of 5 and d.
55
Let y = 17 - 15. Suppose 0 = y*b - 17 - 7. Let p(g) = -g**2 - 17*g + 6. Calculate the smallest common multiple of p(-15) and b.
36
Suppose 5*r - 2 = z - 23, -4*r - 36 = 4*z. What is the common denominator of 58*2/(-56)*(-6 - z) and 92/9*3/6?
63
Let k(t) = -24*t + 183. What is the lowest common multiple of 18 and k(3)?
666
Suppose -2*r + o + 32 = 0, 0 = -6*r + 3*r - 2*o + 34. Suppose 5*h = -10, -b - 28*h + 30*h + 312 = 0. Calculate the lowest common multiple of b and r.
308
Let x(u) = 2*u**2 - 10*u - 9. Let r be x(6). Let g be r*((-20174)/3 + -2). Let t = g + 443849/22. Calculate the common denominator of t and 1/16.
176
Suppose -10669 = -27*x + 12551. Calculate the lowest common multiple of 6450 and x.
12900
Suppose 5*s - 875 = 5*u, -2*u = -3*u - 5*s - 145. Let q = -65599/16 - -4102. Find the common denominator of q and (-4)/((-192)/u) + 1.
48
Let i be -4*(6 + (-189)/28). Calculate the common denominator of (2 - 8/i)*3288/(-192) and 76/3.
12
Suppose -905 = -144*z + 156 + 379. Calculate the lowest common multiple of 19376 and z.
96880
Let t be (2/3668)/(20/12692). Let j = t + -21/131. What is the common denominator of j and 12/25?
350
Suppose 5*f + 5*q + 73 = 358, 159 = 3*f - q. Let n be -2*(-18)/(-10) - (-4)/(-10). What is the smallest common multiple of f and 1 - ((-8)/n + 1 + -17)?
270
Let l(r) = -8*r**3 + 15*r**2 - 9*r + 5. Let a be l(6). Let u = a - -11198/9. Find the common denominator of u and 5/109.
981
What is the common denominator of ((-355368)/41580)/26 - ((-18)/(-21) - 1) and -25/3?
495
Let d = -22883536403/50 - -457697571. Let v = d - 26842. What is the common denominator of 19/35 and v?
350
Let l = 26/2487 - 85417/795840. What is the common denominator of l and 137/480?
960
Let n = -284904329 - -406843365193/1428. Let b = -53/119 + n. Calculate the common denominator of b and 139/180.
180
What is the common denominator of ((-254)/1596)/((900/(-14))/(-15)) and -19/72?
6840
Calculate the common denominator of (0 - (-16)/9780)*(-3 - (-696)/12) and -16/815.
2445
Suppose 58 = -r - 7. Calculate the common denominator of 87/4 and 295/(-35) + r/(-13).
28
Let p = -188580313/2440 - -77287. Find the common denominator of p and 17/5.
2440
Find the common denominator of 58/7 and 7/4 + (-36545)/20860.
1043
What is the common denominator of 29/1680 and (56/(-90) + 22 + -19)/(448/6)?
3360
Let r be 3/1*45/(-135). Find the common denominator of (-8)/(1152/(-291)) - (r - -5) and -31/24.
48
Calculate the common denominator of ((-3)/(-6) - 2419/2952)*8/(-300) and 23/600.
5400
Suppose -4*d - 146129 = -d + p, -4*d - 194828 = -4*p. Let b be ((-135)/63)/((-46)/(-1045667)). Let o = d - b. What is the common denominator of 27/16 and o?
368
Let s be (-1)/1*-1 + 8. Find the common denominator of 2 + ((-2)/(-21) - (-15150)/(-6930)) and 0 + (60/s - 0).
33
Let q = -3869/966 + 341/84. Calculate the common denominator of q and 167/2070.
4140
Let n be 3219/(-432) + (-10)/12. Let a = -74/9 - n. What is the common denominator of -11/60 and a?
240
Let r(u) = 210*u + 88. Let l be r(20). Let y = 25813/6 - l. What is the common denominator of y and 149/138?
138
Let q = -4364 - -4375. Calculate the least common multiple of 285 and q.
3135
Let q be (-4)/6 - (-35436)/53181. Let z = q - 135891/47272. Find the common denominator of z and (0 - (-8 + 7))/((-5517)/(-819) + -7).
24
Suppose 4*k - 12 = k. Suppose 58 = k*w - 158. Calculate the common denominator of -16/15 and (-32)/16 - (-82)/w.
135
Let p(u) = u**3 - 3*u**2 + 3*u - 4. Let m = -1 + 5. Suppose -456*i + 4162 = 695 - 2005. Calculate the lowest common multiple of i and p(m).
24
Let i(w) = 3*w + 8. Let g be i(-10). Find the common denominator of (11/(-24))/(8/g) and (4/(88/(-6)))/(52/(-650)).
1056
Let v = -151 - -156. What is the common denominator of -39/4 and 79/((v/(-15))/((-2)/(-12)))?
4
Let m(g) = -g + 2. Let h be m(-1). Suppose -63 = -h*k + 5*n, -5*k = -0*k + 2*n - 74. What is the smallest common multiple of k and 2/(-6) + (-84)/(-9)?
144
Let p(z) = z**3 - 2*z**2 - 3*z + 1. Suppose -3*j + 8 = -2*q, -3*j + 5 + 17 = 5*q. Let u be p(q). Calculate the common denominator of -35/13 and 5 - 12/7 - u.
91
Let s = 21256 + -1360349/64. Calculate the common denominator of (-4)/6 + (-85)/(-24) and s.
64
Let d = 462603811543 + -105473126969861/228. Let t = d + -2377469. Let q = -281/57 - t. What is the common denominator of 121/6 and q?
228
Let n be (2/(-102516))/(16/(-64)). Let d = n - 1221661/153774. Calculate the common denominator of d and (-392)/(-30)*3/(-12).
90
Let w = 38354 - 37073. What is the smalles