et u = -2/657 + 21689/2628. Find the common denominator of u and -37/8.
8
Suppose -16 = -2*b + 5*y + 14, 0 = -5*b - 2*y + 46. Suppose b*p + 85 + 35 = 0. Calculate the common denominator of 610/p*12/(-320) and 54/5.
160
Suppose -5*o + 87*w + 47 = 90*w, 2*w + 22 = 2*o. Calculate the smallest common multiple of 206 and o.
1030
Calculate the common denominator of 27/11 and -3*(-69064)/15696 + -13.
7194
Suppose 5*m = -3*r + 3 - 34, -5*m - 17 = -4*r. Let v = 24312/11 + -2210. Calculate the common denominator of v and -3*(-2)/(-10) + r.
55
Let l(z) = z**3 - 7*z**2 + 8*z + 4. Let a be l(5). Let n(s) = s + 7. Let u be n(a). Calculate the least common multiple of u/(-3) - 434/(-42) and 6.
30
Suppose 5*t + 377 + 210 = 4*o, -2*o - 4*t + 274 = 0. Suppose -6*n + o = -49. What is the smallest common multiple of 48 and n?
96
What is the common denominator of -21/8 and 2/3 - 28/(-54432)*-1413?
216
Let g = 22353/17633 + -210/229. What is the common denominator of g and -13/476?
5236
Let h = 1542631177/1330 - 1159873. Calculate the common denominator of -17/1330 and h.
1330
Find the common denominator of (23/(-2))/((-15435)/90) and -139/6.
2058
Let x = -470566847/1122 + 419400. What is the common denominator of x and -181/30?
5610
Let v(p) = -p**2 - 25*p. Suppose 44 + 116 = 5*j. Let b = -49 + j. What is the lowest common multiple of 14 and v(b)?
952
Suppose 0 = 2*s - 12 + 420. Let p = s - -214. Calculate the least common multiple of 6 and p.
30
Let x be ((-5)/(-1 + 6))/((-22206)/(-2)). Let h = -521905/710592 - x. Find the common denominator of h and -3/4.
64
Suppose 206 = -5*t - 3*b, 0 = t - 13*b + 8*b + 30. Let m = 60/7 - 727/35. Calculate the common denominator of m and 0/(-6) - (-4)/t.
10
Let h = 1504/3 + -508. Let k = -209757 + 6292699/30. Find the common denominator of k and h.
30
Suppose c = 3*c - 8. Suppose 4*n = 3*n + 3*y + 4, c*n + 4*y - 80 = 0. Suppose 0 = -2931*q + 2934*q - 114. Calculate the lowest common multiple of q and n.
304
Find the common denominator of -41/1604 and ((-13 + 8)/(-30)*-6)/(2/79).
1604
Suppose -26*t = -30*t + 13*t - 423. Calculate the lowest common multiple of t and 5.
235
Let k = 1610980/2871 - 5050/9. Find the common denominator of k and -8/63.
20097
Suppose -4*w - 24 = -2*p, -2*p + 5*w + 17 = -3. What is the least common multiple of p and 44?
220
Let u = -40 - -55. Calculate the common denominator of -131/12 and 86/28*-11*u/(-990).
84
Suppose -k + a + 27 = 0, -84 = 3*k - 6*k + 4*a. Suppose -5*o + 64 = 4*j, 7*o - 93 = -2*j - 7. Calculate the smallest common multiple of k and o.
24
Let f be ((-2290)/(-8))/((-4)/(-16)). What is the common denominator of 17/30 and -4 + f/180 + (-2)/3?
180
Suppose 0 = 2*w - k - 2*k - 1007, 3*w - 4*k = 1508. What is the smallest common multiple of w and 186?
1488
Suppose -5*b + 202 - 37 = 0. Let l(y) = y**2 + 17*y - 3468. Calculate the lowest common multiple of l(52) and b.
1320
Let q(n) = 2*n**2 - 5*n - 3. Let z(k) = -3*k**2 - 613*k - 27427. What is the least common multiple of z(-137) and q(4)?
2223
Let i = 19784/9 - 2201. Let b be (-138)/(-3)*(2 - 27). Calculate the common denominator of i and (-2)/12 - b/420.
63
Suppose 11 = 4*g + 4*q - 33, 5*q + 25 = 5*g. Let m(l) = -9*l - 47. Let h = 10 + -16. What is the lowest common multiple of g and m(h)?
56
Let w = 462836/73 + -6340. What is the common denominator of 18/19 and w?
1387
Let y = 50246493914/5148759 + -4/1716253. Let z = 9761 - y. Find the common denominator of z and -95/126.
126
Let c be 0/1 + -10 + 10565295/425. Let b = -24850 + c. Find the common denominator of b and -115/204.
1020
Suppose 8*h = 9*h - 2. Let j be 24*-1*h/(-4). Suppose -4*c = 2*t - j, t + 0*t = -c + 2. What is the smallest common multiple of c and 40?
40
Suppose 0 = -48*l + 52*l + f - 221, -3*l + 187 = 5*f. Calculate the common denominator of (l/(-243))/((-56)/(-285)) and 31/108.
756
Let v = 30/29 + -933/145. Suppose -3*k - 134 = -5*k. What is the common denominator of v and 4/2 + k/6?
30
Suppose -25*p + 32*p - 174006 = 0. Let m = 2361573/95 - p. What is the common denominator of 49/10 and m?
190
Let i(r) = 3*r**2 - 2*r + 2. Let v(a) = 400*a**2 - 50*a - 23*a - 8 - 391*a**2. What is the lowest common multiple of i(2) and v(10)?
810
Let l = 5170/3 - 82555/48. Find the common denominator of 4*(-225)/(-1640)*(-5)/(-6) and l.
656
Suppose -11*m + 750 - 4248 = 0. Let q = 358 + m. Calculate the smallest common multiple of q and 30.
120
Let p(v) = 13*v**2 - 3956*v - 5*v**3 + 6*v**3 + 3944*v + 4. Let m be p(-11). Let h = m + -1121/3. Calculate the common denominator of h and -53/10.
30
Suppose 20311*v = 20326*v - 90. Suppose 5*i = 23 + 7. Calculate the smallest common multiple of i and v.
6
Suppose -5*x = -2*b - 5, 3*x + 3*b = -0*b + 24. Suppose l + 3*t - 24 = -2*t, -x*l + 5*t = -12. Let a = l - -6. What is the smallest common multiple of a and 18?
90
Let k(i) = i**2 - 2*i - 5. Let n be k(-2). Find the common denominator of -15/7 and 1035/760 - ((-45)/(-40))/n.
532
Suppose -222*m = 4*x - 217*m - 702, -198 = -x - 5*m. What is the smallest common multiple of x and 36?
504
Suppose 88*n = 100*n - 168. Suppose 5*o = a + o - n, 54 = 5*a - 4*o. Calculate the least common multiple of 70 and a.
70
Suppose -19521 = -3*b - 3*l, 0 = -5*b + 2*b - l + 19507. Calculate the lowest common multiple of b and 12.
19500
Let p = -6037 - -108577/18. Let v = 93979/14630915 - 10/1643. Let o = 311609/195910 + v. Calculate the common denominator of p and o.
198
Let a be (-7)/21*(-8 - -77). Let f(n) = n**2 + 25*n + 49. What is the smallest common multiple of 15 and f(a)?
15
Calculate the least common multiple of (-21862)/(-51) + 18/54 and 154.
6006
Let r = -28460 + 1138491/40. Suppose -520 = -u - 3*u. What is the common denominator of u/(-32) + ((-3)/(-2))/(-1) and r?
80
Suppose -3*i + 3*m - 5 = -20, -i + 2*m = -10. Suppose i = 105*k - 98*k - 868. Calculate the lowest common multiple of k and 4.
124
Let b be (-1 + 2)/(1/(-1097)). Let x = 75 - b. What is the common denominator of 2 + 2 + x/(-280) and -139/12?
420
What is the smallest common multiple of 3432 and 6/(3/(-448)*-16)?
24024
What is the common denominator of ((-286)/(-48))/(12/(-16)) and (-4)/66*(-9 - 2520/(-160))?
198
Let t = -130 - -248. Find the common denominator of (t/30)/(176/220) and 99/8.
24
Let j(p) = -p**3 + 8*p**2 - 13*p - 13. Let u be j(5). Let a = u - -13. What is the lowest common multiple of a and 70?
70
Calculate the common denominator of (-45)/36*(-260)/38150 and 57/4.
3052
Let t = 609 + -607. What is the common denominator of 26/3 and (32/(-1200))/(t/(-14))?
75
Suppose 49*t = 87*t - 456. Calculate the smallest common multiple of 624 and t.
624
Find the common denominator of (7 - 392/32)/(24/(-16)) and -21/646.
646
Let v = -1535/114 - -12/19. Find the common denominator of v and -71/2.
6
What is the least common multiple of (-190021)/(-622) - (-2)/4 and 4?
612
Suppose -2*c = -4*o - 4, o + 8 = -2*o - c. Let k be 3*(-3*(-2)/6 + o). Let u(b) = -b**3 - 2*b**2 - 4*b. Calculate the lowest common multiple of u(k) and 9.
63
Let p be (-6515168)/(-160)*(-5)/12. Let j = p + 16979. Calculate the common denominator of j and (38/(-4))/((-11)/5).
132
Let b(l) = -l**3 - 9*l**2 - l - 4. Let y be b(-9). Suppose -y*h + 9*h = 12. Suppose 10 - 31 = -h*z. What is the lowest common multiple of z and 9?
63
Find the common denominator of (5/(-162))/((-1)/(-87)) and 125/12 + 45/270.
108
Suppose -11880 = -74*d + 56*d. Calculate the smallest common multiple of 24 and d.
1320
Suppose -15 = 3*y, 162 = 2*p + y + 27. What is the least common multiple of 7 and p?
70
Let x(l) = 60*l - 62. Let u be x(-8). Let h = -506 - u. Suppose 0*i + i - 20 = 0. What is the smallest common multiple of i and h?
180
Let k be 11/(110/40) + (-1)/(-1). Find the common denominator of 1 + -3 + k + 377/117 and -32/9.
9
Let f = -288401 - -371460443/1288. Find the common denominator of -157/210 and f.
19320
Let k(l) = -7351*l**3 - l**2 + l + 1. Let s be k(-1). Let p = s + -117543/16. Calculate the common denominator of p and -55/38.
304
Suppose 16*f = 19*f - 6*a + 24, -3*f + 2*a - 4 = 0. Calculate the smallest common multiple of f and 309.
618
Suppose -4*k + 1190 = 30*k. Let b = -122 - -152. What is the least common multiple of k and b?
210
Suppose -344 = -16*p + 12*p. Let o = p + -64. Su