77080/1937 + -8713. Let u = q + n. What is the common denominator of -91/16 and u?
112
Let r = 871433/490 + -8891/5. What is the common denominator of r and 23/4?
196
Suppose 3*h - 3*o + 174 = 9702, 0 = 4*h + 3*o - 12690. What is the least common multiple of h and 30?
15870
Let p(i) = -3*i - 20. Let y be p(-6). Find the common denominator of y + (2/(180/(-313)) - -5) and 125/12.
180
Suppose 170*p + 226 = 128*p + 1486. What is the least common multiple of 2589 and p?
25890
Let l(p) = -41*p**3 + 6*p**2 + 2*p + 6. Let c(q) = 2*q**3 + q**2 + q + 2. Let f(x) = 3*c(x) - l(x). What is the smallest common multiple of 27 and f(1)?
135
Let n(x) = -x**2 - 4*x - 2. Let u be n(-4). Let t(w) = 51*w - 152. Let h be t(3). Find the common denominator of 83/33 and u/5 - (-2744)/960 - h.
264
Suppose 453 = -37*q - 3*q + 1253. What is the smallest common multiple of 2380 and q?
2380
Let n(o) = -88*o + 121. Let f(m) = m + 4. Let x be f(7). Let u = x + -2. Calculate the least common multiple of n(1) and u.
99
Let b = 1407 - 1353. Calculate the least common multiple of 204 and b.
1836
Suppose -7*i + 759 = -550. Let b = -284 + i. Let u = -296/3 - b. What is the common denominator of u and 3/7?
21
Suppose -3*v - 19 = -5 + 73. Let m = 33 + -2. Let a = m + v. What is the smallest common multiple of 4 and a?
4
Let w = -1492 - -1516. Calculate the lowest common multiple of w and 42.
168
Let s(q) = -3*q + 1. Let n be s(-3). Let k = -121 - -126. Find the common denominator of (122/n)/((-3)/k) and -17/6.
6
Let a = 958/27 - 45283/1242. Let u = 78445/8148 - 30/679. What is the common denominator of u and a?
276
Let m(w) = 3*w**2 - 2*w - 1. Let u = -147 + 146. Suppose 2*a - 5*b - 7 = 4, 0 = -2*a - 4*b + 20. What is the smallest common multiple of m(u) and a?
8
Let w = 8733/16 + -1081/2. What is the common denominator of -67/148 and w?
592
Let n = -1203 + 3703. Let z be (7 + (-4842)/(-45))*131/(-6). Let o = n + z. Find the common denominator of -41/4 and o.
20
Let a be (-24)/18 - 26/3. Calculate the common denominator of -47/4 and ((-36)/14)/((200/63)/a).
20
What is the common denominator of 41/2479 and (-19 - 22671/(-1221))/(3/(-2) - -2)?
2479
Let n = -313 + 122. Let b = 221 + n. What is the lowest common multiple of b and (-3 - -8)*(-36)/(-15)?
60
Suppose 0 = -9*f + 853 + 1370. Calculate the lowest common multiple of 52 and f.
988
Let f = 7408 - -586. Let l be (5/52)/((-6)/f*37). Let s = l + 22/481. What is the common denominator of -21/8 and s?
24
Let z = -562 - -670. Calculate the common denominator of (6*(-9)/z)/((-5)/21) and 67/27.
270
What is the common denominator of ((-683485)/(-18972))/(-17) + 4/2 and 19/4?
1116
Let c be 16569/(-10) - 10/(-25). Let g = c + 1621. Let b = 8910 + -53339/6. What is the common denominator of b and g?
6
Suppose 0 = -3*z + 5*h - 6*h + 83650, -z + 4*h + 27866 = 0. Suppose l - z = 7*l. Calculate the common denominator of 4/(-26) + l*3/(-4680) and -101/4.
40
Let o(h) = 561*h + 11605. Calculate the lowest common multiple of o(-20) and 220.
1540
Let o = -3447 - -72437/21. Find the common denominator of -41/600 and o.
4200
What is the common denominator of (-18)/30*-1 - 1095/(-1300) and -131/30?
780
Calculate the common denominator of 5217/(-1428) + 2 + (-10)/(-35) and -11/8.
136
Let a(p) = -p**3 - 111*p**2 + 223*p - 150. Calculate the smallest common multiple of a(-113) and 1701.
1701
Let t be (-22522505)/(-8273322) + 6/2. Let k = t - 2/24191. What is the common denominator of 5/24*51/(-2) and k?
144
Let d = -118975754853/3275 + 36328473. Let u = d + 32/131. Find the common denominator of u and -88/45.
225
Suppose 374 = 11*u + 24*u + 94. What is the least common multiple of u and 3/(-1) + (-46)/(-2)?
40
Let x = 586/299618294217 + 1045357941120739963/259535358816649740. Let b = -2/72185 + x. Find the common denominator of -59/60 and b.
180
Calculate the common denominator of 1203/2952 - 1/(3/1) and -71/96.
3936
Let v(s) = s**3 + 5*s**2 + 18*s - 36. Calculate the least common multiple of 342 and v(5).
2736
Calculate the common denominator of -133/240 and ((-4997)/(-285) + 1)/24.
720
Let v = -51 + 381. Suppose 2925*r + 90 = 1465*r + 1469*r. Calculate the smallest common multiple of r and v.
330
Let x = -435597/62 - -7026. Let a = 109005023/36237636 + 1/292239. Let z = x + a. Calculate the common denominator of z and 49/4.
4
Let m = -681583 + 380323423/558. Calculate the common denominator of m and -61/90.
2790
Let h = -42 - -68. Let b be (2 - 17 - 2)*(-5)/5. Find the common denominator of -1/10 and ((-18)/h)/(17/b).
130
Suppose -2*m + 2*y - 2 = 0, -3*m + 0 = -y - 1. Let n be (m/(-18))/(7/45734*-2). Let f = 1298/7 - n. What is the common denominator of f and 81/4?
36
Let k be (-27673 + 20)/(-2 - -1). Let w = 9070165/328 - k. Calculate the common denominator of -69/16 and w.
656
Let g = 100/129 + -17365/8256. Calculate the common denominator of g and 93/28.
448
Let x = -6064871/430 + 70516/5. What is the common denominator of 101/4128 and x?
4128
Let j = 81797/4 - 20449. Find the common denominator of j and 28/3167.
12668
Let h be (12/(-22))/3 - 1332/(-66). Suppose -162 = -2*v + 3*d, 174 - h = 2*v - 5*d. Suppose v = 8*o + 23. Calculate the smallest common multiple of 16 and o.
16
Let f(t) = t**3 + 8*t**2 + 4*t + 8. Let u be f(-6). Let n be 12/81*(-3951591)/u. Let s = 10451 + n. What is the common denominator of s and -53/18?
18
Let w(h) = -h**2 - 5*h + 56. Let f be w(0). Suppose 8*m - f = -16. What is the smallest common multiple of 6 and m?
30
Let n = -4052/7 + 574. Let x be ((-14)/(-35))/((-2)/(-20)). What is the common denominator of n and 107/(-51) - x/6?
119
Let m be 92 - 3 - (2 + 0). Let r = -66 + m. Let i(x) = 3*x - 25. What is the least common multiple of r and i(11)?
168
Suppose 3*d - k = -2*d - 70, 3*d = -5*k - 42. Let m(i) = -i - 8. Let v be m(d). Let w(c) = c**2 - 6*c + 6. What is the smallest common multiple of 12 and w(v)?
12
Suppose 65 = 5*w + 5*p, -2*p - 14 = -w - 4*p. Suppose 95*x = 98*x - 108. What is the smallest common multiple of x and w?
36
Let w be -4*3/(-20) + (-297)/(-5). Let a be ((-3)/w)/(3/127612). Let t = 2126 + a. Find the common denominator of 8/5 and t.
15
Suppose 3*p = -2*p + 4*t + 90, 4*p + 4*t - 36 = 0. Let b(k) = -5*k - 9*k + 1 - k**2 - p. Calculate the lowest common multiple of 20 and b(-11).
20
Let i be 70/(-35) - 196/(-6030)*62. Let h = 158797/66330 - i. Calculate the common denominator of h and -39/22.
66
Let z = -386553/40 - -9665. Find the common denominator of -111/1600 and z.
1600
Suppose 5*n + 5*k = 2673 - 353, -8*n = 3*k - 3732. What is the smallest common multiple of 99 and n?
5148
Calculate the common denominator of 73/192 and 67664/5376 + -9 + 12/(-14).
192
Suppose 0 = 41*q - 39*q + 26. Let m = 33 - q. Let s = 55 - m. What is the least common multiple of 6 and s?
18
Suppose 0 = 15*t - 11*t + 36. Let a = t - -24. Let b = 65 + -23. What is the lowest common multiple of a and b?
210
Suppose 5*h + 4*n = -0*n - 2330, 1870 = -4*h - 2*n. Let p = h + 484. Calculate the smallest common multiple of p and 7.
14
Suppose 0 = 11*o - 17*o + 1284. Let n = -186 + o. Calculate the smallest common multiple of 70 and n.
140
Find the common denominator of 169 - 155 - (-2674)/(-187) and -41/238.
2618
Suppose -3*q - 2*q - 5*r - 85 = 0, r = 1. Let b = -78 + q. What is the common denominator of 65/12 and (95/(-14))/(b/56)?
24
Let r be ((-18)/14 - (-60)/210)*-69. Let y = 207 + r. What is the lowest common multiple of 22 and y?
3036
Let n = -2/139259 + -19913173/60159888. What is the common denominator of -101/216 and n?
432
Suppose 1588*j - 4*o = 1593*j - 349, 0 = -j - 3*o + 50. Suppose -4*k + 3*w + 149 = 0, -4*w + 128 = 4*k - 0*w. What is the smallest common multiple of k and j?
385
Calculate the common denominator of (6 - 94/3)*(-2)/(-208) and -119/636.
8268
Calculate the smallest common multiple of 233 + 19/((-190)/(-50)) and 272.
1904
Let k(u) = -4*u**2 + 6*u - 2. Let n be k(1). Suppose -16*r + 246 - 70 = n. Calculate the lowest common multiple of 29 and r.
319
Let i = 395 - 248. What is the common denominator of (-3 - 0) + i/(-72)*1 and 67/51?
408
What is the common denominator of 126/(-297)*(-6)/(-764) and 7/191?
2101
Suppose -d - 4*d = 10, 4*c - 2*d = 1192. Let p = -181 + c. What is the lowest common multiple of p and 