+ 85 = -7*p. Suppose -13*u + 10*u + 60 = 0. Calculate the least common multiple of p and u.
60
Suppose -33*l + 4964 + 2428 = 0. Suppose 30*d - l = 23*d. What is the least common multiple of d and 4?
32
Suppose 9*n = 5*w + 5*n - 92, -23*w + 5*n + 316 = 0. What is the lowest common multiple of 432 and w?
432
Calculate the lowest common multiple of ((-42)/(-28))/((-9)/(-48)) + 2 and 115.
230
What is the common denominator of 63/105 - 1899/2805 and 43/495?
8415
Suppose -h + o + 15 = -25, 5*h - 2*o - 212 = 0. Let s = h + -45. What is the common denominator of s + 0 + 194/12 - -1 and -137/6?
6
Let w be (1818/5)/((-12)/(-40)). Let z = -461453/4 - -114142. Let n = z + w. Calculate the common denominator of 53/16 and n.
16
Suppose -9*p + 5092 = 4327. Calculate the smallest common multiple of p and 22.
1870
Suppose -50 = -5*l + 10*l. Suppose 1 = u - 2*u. Let y = u - l. What is the lowest common multiple of y and 33?
99
Let p(x) = 15*x**2 - 29*x - 1 - 42*x**2 + 20*x**2. Let j be p(-4). Suppose -j*m + 72 + 0 = 0. Calculate the least common multiple of 4 and m.
24
Let t(g) = g**3 + 22*g**2 - 176. Calculate the smallest common multiple of t(-19) and 16.
14512
Suppose 136*u - 1141 = 2939. What is the lowest common multiple of 3552 and u?
17760
Calculate the least common multiple of 192 and 0 - -15 - 23166/(-286).
192
Let g be 215957/210 - 2/((-2)/(-2)). Let s = g + -13721/5. Let j = 1699 + s. What is the common denominator of -49/18 and j?
18
Let v = -1779 + 1785. Calculate the smallest common multiple of v and 1044.
1044
Suppose -3*g - 3*a = -2*a - 51, -5*g + 4*a + 102 = 0. Let q be (1 + 20/8)*(-2 + g). Calculate the common denominator of -59/8 and ((-12)/q)/((-9)/(-309)).
56
Let i = 3/244673 + 21774601/105698736. What is the common denominator of -107/200 and i?
10800
Let a be 1/(2/8) - (-88)/4. What is the lowest common multiple of 28 and -9 + a + 1 + -8?
140
Suppose 3319 + 902 = -3*f. Calculate the lowest common multiple of (-4)/(-5) + 1 + f/(-35) and 18.
126
Suppose -v + 4*y = -396 - 406, 4*v - 4*y - 3220 = 0. Calculate the smallest common multiple of v and 143.
8866
Let q = -79 + 115. Let n = 243/112 + -7955/1008. Calculate the common denominator of (111/148)/(q/(-98)) and n.
72
Let t(w) = -4*w - 13. Let s be t(-4). Suppose 0 + 7 = s*r - a, -5*r + a + 11 = 0. What is the common denominator of -19/6 and 1642/(-528) + 3*r/(-33)?
24
Suppose -2*q = 6*q. Suppose q*j = 4*j - 184. What is the least common multiple of j and 18?
414
Suppose -73 = -4*j + 5*m, 0 = -2*m - 3*m - 5. Let i = 33 - j. Find the common denominator of (-1)/3 + 5394/(-396) + 10 and i.
22
Let n = -5629 - -731859/130. Calculate the common denominator of n and 8/13.
130
Let m = 5024/17 - 108641/374. Calculate the common denominator of m and -53/5008.
55088
Let s(q) = -35 - 5*q - 18 + 10. Let h be s(-9). What is the least common multiple of 6 and (h/(-4))/(3*7/(-1764))?
42
Let v = -8113 + 8123. What is the least common multiple of v and 1200?
1200
Let o = -29977/6 + 4989. Calculate the common denominator of 109/402 and o.
402
Suppose 3*m = -4*t - 464 - 837, 5*t + 4*m = -1627. Let a = -3227/10 - t. Find the common denominator of -49/15 and a.
30
Let f(o) = 23*o**2 - 36*o - 121. Let w be f(-3). Let x = -134 + w. Suppose -2*v + 26 = -v + 4*m, -2*m = -8. Calculate the lowest common multiple of v and x.
60
Calculate the lowest common multiple of ((-48)/21 - -2) + (-1020)/(-140) + -6 and 935.
935
Suppose -224 = 34*u - 90*u. Let p be (-1109 - 1)*(-1)/2. Calculate the common denominator of 47/16 and (u - p/160)*-6.
16
Let m(u) = -u**3 + 9*u**2 + 8*u + 2. Let z be m(10). Calculate the common denominator of z/(-132)*4/(-5) and ((204/30)/17)/(32/(-610)).
440
Suppose -3*d + 135 = 5*q, -59*d = -2*q - 55*d + 28. Calculate the lowest common multiple of q and 11754.
47016
Suppose 2*s - 4 = -3*d, -3*d - 4*s = 2 - 10. Suppose d = 5*c + 17*c - 132. Calculate the lowest common multiple of c and 4.
12
Let q = 2/331 - -207/20522. What is the common denominator of q and (5 + (-1564)/(-16))*2/9?
186
Let w be (4/(-3800))/((-48)/(-85145)). Let v be -106 - -111 - 18238/3648. Let u = w + v. Find the common denominator of u and 1/36.
180
Let p = -1882 + 3127. Calculate the smallest common multiple of 9 and p.
3735
Let o be -471*(-7)/((-84)/(-16)). Calculate the least common multiple of 77 and (-100)/(-750) - o/(-15).
462
Find the common denominator of 6*124/(-448)*4 - 18/(-21) and 75/21782.
152474
Let f = -8 + 32. Let b be (3/(-6))/((-8 + 5)/(-90)). Let g = b + f. Calculate the smallest common multiple of g and 7.
63
Suppose -780 = 366*b - 405*b. What is the least common multiple of b and 610?
1220
Let x = 3275213 - 12301700173/3756. What is the common denominator of x and 107/18?
11268
What is the common denominator of 5/232 and 1/(736/4560) - 5?
5336
Find the common denominator of (-2)/(-7) + 367/(-280) and ((-707)/(-30) - 11) + 21/(-3).
120
Let l = -50010 + -1021. Let w = 2857651/56 + l. Calculate the common denominator of w and -9 - (7 - 16) - 102/(-44).
616
Let a = -2977 + 11843/4. Suppose -4*q + 162 = -0*m - m, -4*q = -5*m - 170. What is the common denominator of a and 5/(q/12)*26?
4
Let w be (1372/16)/7 - 0. Let c = 23/12 - w. Find the common denominator of c and 3 - (-1 - (-41)/(-24)).
24
Suppose 7*n - 336 = -5*n. Let p(g) = -3*g**2 + 86*g - 5. Calculate the lowest common multiple of 45 and p(n).
765
Suppose 2*k = 6, 0*k + 29 = 5*y + 3*k. Find the common denominator of (117/(-120))/(y/5) and -9/116.
928
Let n = 25/174 - 18323/4002. Let k = -63592512/115 + 552987. Let d = n + k. What is the common denominator of d and -59/4?
20
Let q(i) = i**2 - 4*i - 2. Let x(m) = m**2 - 23*m + 66. Let l be x(20). What is the smallest common multiple of ((-8)/10)/((-4)/90) and q(l)?
90
Suppose -7089*x = -7143*x + 2376. Calculate the smallest common multiple of x and 3436.
37796
Let s = -39 - -47. Suppose -y = y - s. Suppose -y*l + 3*l = -10. What is the smallest common multiple of 10 and l?
10
Suppose 7*r = 1226 - 330. Suppose -r - 82 = -21*m. Calculate the least common multiple of m and 72.
360
Let r = -1908522 + 3740702999/1960. What is the common denominator of r and -59/16?
3920
Let s = -4043 - -521546/129. Let p = 25262/27 - 936. Find the common denominator of s and p.
1161
Let r = -382 - -386. Suppose -r = f, 2*y + 3*f - 6*f = 444. What is the smallest common multiple of 2 and y?
216
What is the lowest common multiple of (-28)/2 - (-448)/28 and 672?
672
Let j = -116 + 298. Find the common denominator of -7 - (-13)/(j/(-525)) and (-224)/24 - (-2)/(-4).
6
Let q(z) = z**3 - 5*z**2 - 23*z - 7. Let v be q(8). Let f be 97 - (v - (-2 - -2)). Let a = -59 + f. Calculate the lowest common multiple of a and 8.
296
Let k = -6649 - -66427/10. Let y be 1*8/2 - 3 - -299. What is the common denominator of k and 2/(-10) + (-5)/(y/(-597))?
20
Calculate the smallest common multiple of 7 - ((-3)/5 + (-10542)/105) and 432.
432
Let u = -18370 - -19468. What is the least common multiple of 1281 and u?
7686
Let o = 17002 - 5454. Calculate the least common multiple of o and 2.
11548
Find the common denominator of (-11214)/3780 + 2/(-3) and 1/3 - 1/14.
210
Let u(c) = 3*c**3 - 7*c**2 + 250 - 2*c**3 + 5*c - 233. What is the smallest common multiple of (-1 - -2)*-1 + (34 - 22) and u(6)?
11
Let p = 578332/165 + -3505. Calculate the common denominator of 13/855 and p.
9405
Find the common denominator of ((-14)/(-3192))/((-30)/387*-2) and -17/12.
4560
Suppose 2*b + 5*m - 106 = -30, 2*b + 3*m = 60. Suppose s + 5*r = 1, 2*r - 39 = -3*s - r. What is the lowest common multiple of s and b?
144
Suppose 5*c + 168 = 47*c. Calculate the least common multiple of c and 6716.
6716
Let s = -3324 - -3619. Calculate the lowest common multiple of 1 and s.
295
Suppose 0*g - 21 = -3*g + 3*l, 3*g + l = 9. Find the common denominator of (148/(-15))/(g/(-10)) and (-1320)/(-72) + (-4)/(-8).
6
Let m(h) = 33*h**2 + 9*h - 18. Let x be m(3). Suppose -s + x = 104. What is the least common multiple of 12 and s?
1212
Let j = -31180 + 31210. Suppose 2*z - 3*z = 4*w + 4, -4*z = -4*w + 16. Calculate the least common multiple of j and w - (0/1 + -18).
90
Suppose -2*z + t + 32 = 5*t, -4*z + 2*t + 84 = 0. Let v = 7190 - 237223/33. Calculate the common denominator of (-314)/36*(-12)/z a