mmon denominator of m and z?
330
Let u = 1029/20 - 166/5. Find the common denominator of u and 25/(-5) + 3978/364.
28
Let t = -4 + 4. Suppose 7*q - 5 = 16. Suppose t = -q*d + 63 - 9. Calculate the least common multiple of 70 and d.
630
Calculate the common denominator of 97/105 and 9/3105*-2995 - -9.
2415
Suppose 24562 = -6*p + 3*p + 5*s, -2*s = -4. What is the common denominator of (1/7)/(p/(-62930)) and 41/21?
924
Suppose -2*u - 63 = 2*p - 91, p - 30 = -3*u. Calculate the lowest common multiple of 6434 and p.
19302
Let f = 78 + -73. Suppose 4*m = f*n + 68, 8 = -4*n - 8. What is the common denominator of -38/7 and (m/(-18))/(16/213)?
56
Calculate the least common multiple of 6 and ((-3904)/(-4))/(((-1)/(-4))/(27/216)).
1464
Let p(v) = -v + 18. Let g be p(20). Let r be 376/(-12)*6*g/8. Let f = -29 + r. Calculate the least common multiple of 12 and f.
36
Let q(c) = c**2 - 3*c + 2. Let g(m) = m**2 + 5*m + 3. Let w be g(-4). What is the lowest common multiple of w/((-7)/6 + (-4)/(-6)) and q(3)?
2
Calculate the common denominator of -123/308 and (696/(-176) + 4)*-87.
308
Let f = -319 + 7021/22. Let b = 1784 - 108816/61. Let t = -6825/1342 + b. What is the common denominator of t and f?
22
Let z be 65 + 0 - (5 + 30/(-3)). Suppose -6*g + z = -3*g + b, -3*g + 2*b = -76. Calculate the least common multiple of g and 16.
48
Suppose 3*n - 71 = 124. Suppose p = z + 87, -283 = -4*p - 5*z + n. Calculate the smallest common multiple of p and 21.
609
Let m(t) = 2*t + 6. Let g be m(3). Let y = g + -2. Suppose -y*o + 21 - 1 = 0. Calculate the least common multiple of o and 4.
4
Suppose 261*g - 2812 = 58628 + 24690. What is the least common multiple of g and 570?
6270
Let f be (1/(-7890))/((-168)/(-210)). Let u = -102043/6312 + f. What is the common denominator of u and -103/18?
18
Let n(i) = -38*i**2 + 387*i - 2. Let l(f) = -20*f. Calculate the lowest common multiple of l(-1) and n(10).
340
Suppose -1926 = -8*j - 486. What is the least common multiple of j and 18?
180
Let a be 18052/26730 - 12/(-20). Let i = a + -8/243. Calculate the common denominator of i and 137/12.
132
Let l = 48/5 - 871/110. Suppose 0 = r + 5*k - 10, 5*k = -5*r + 3*r + 10. Calculate the common denominator of (r + (-3)/36)/(5/(-190)) and l.
66
Suppose -16*h = -388 - 188. Suppose f = -2*l - 0*f + 98, 4*l - 200 = -4*f. What is the least common multiple of h and l?
144
Let z = 38218050/3409 - 78476/7. Let h = 35007/7792 + z. Find the common denominator of 15/64 and h.
64
What is the common denominator of 47/140 and ((-61)/(-122) - 1/(-10))*122/(-3060)?
35700
Let n = -9579 + 977131/102. Find the common denominator of (-4)/(-6) + (-103)/6 and n.
102
Suppose -3*n - 2*s + 1513 = 0, -2 = 8*s - 6*s. Let l = 899 - n. Calculate the least common multiple of l and 18.
3546
Let n = -6161 - -6170. Suppose -o - 3*f - 7 = 0, -f = -5*f - 12. Suppose o*i - 7 = -5*d, 4*i - 33 + 4 = -5*d. Calculate the smallest common multiple of n and i.
99
Calculate the least common multiple of 4 + (-3)/6*-14 and 83.
913
Let b = -6944/9 + 14029/18. What is the common denominator of 1/22 and b?
66
Let s = -89 - -91. Suppose 5 = 5*p - 15, -3*a + s*p + 277 = 0. Calculate the lowest common multiple of 11 and a.
1045
Let a = -26505/272 + 1596/17. What is the common denominator of ((-234)/160)/((-1)/(-4)) and a?
80
Suppose 2*i - 4*i = 4*x, 3*x + 33 = 4*i. Let p(a) = -18*a**2 + 8 - 4*a**3 + 17*a**2 + a - 4. What is the least common multiple of i and p(-2)?
30
What is the smallest common multiple of 127 + -100 + -12 + 1 and 160?
160
Let s(c) = -6*c + 98. Let o be s(-11). Let u = 200 - o. Suppose b + 3*b = 144. What is the least common multiple of b and u?
36
Find the common denominator of 109/56 and 95/76*-2*(-51)/480.
448
Suppose 2*b = -3*q + 142, -7*b + 2*b = 5*q - 365. Find the common denominator of -101/62 and b/24*1496/(-476).
372
Let z = -62057629/880 + 70520. Find the common denominator of 43/110 and z.
880
Suppose -2*g - 2 = 2*l + 2*g, 29 = 4*l - 3*g. Suppose -145 = -5*i + l*a, 7*a - 8*a = 3*i - 83. What is the lowest common multiple of i and 24?
168
Let o = -562259/10 - -56238. Find the common denominator of -1 - ((-70)/146)/1 and o.
730
Let d = 17223 - 17218. What is the least common multiple of 5031 and d?
25155
Suppose 22*v = 25*v - 9. Suppose -9 = v*q - 24. Suppose q*g = 2*g + 30. What is the least common multiple of 7 and g?
70
Let d be 26/(-52)*(3 + -17). Suppose -n + 2*n = 38. Calculate the smallest common multiple of n and ((-42)/(-10))/d - (-402)/30.
266
Let o = -5368 - -144913/27. Calculate the common denominator of -23/111 and o.
999
Let s(k) = -3*k**2 + k - 66. Let y be s(14). Let a = -1/1010 + -8059/21210. What is the common denominator of a and (-5360)/y - 6/8?
168
Let w = -2715/7 - -383. What is the common denominator of 1/111 and w?
777
Let a(s) be the third derivative of s**5/60 + s**4/4 + 7*s**3/6 + 13*s**2. Let u be a(-4). Calculate the smallest common multiple of 9 and (u/2)/((-5)/170).
153
Let u(l) = l**2 - 9. Let z be u(3). Suppose z = -2*k + 133 - 3. Calculate the common denominator of k/27*4/8 and 77/18.
54
Let u be (0/(-4))/(-2 + 6 - 2). Suppose -4*w - 5*v + 19 = 0, 2*w + u*w + 2*v = 12. Calculate the lowest common multiple of 428 and w.
4708
Calculate the least common multiple of 18 and (-2 - (-6 - -6))*-99.
198
Suppose 5*k - 1021 = t, 5*k + 4*t - 1466 = -425. Let x = k + -170. Calculate the smallest common multiple of x and 85.
595
Suppose 23 = -4*j + 3*r - 16, -r - 8 = j. What is the common denominator of (-2)/18*(-960)/(-25) and (112/60)/(j/30)?
45
Calculate the common denominator of (-58)/(-60) + ((-34)/(-30) - 1) and 279/27 + -11 + -1.
30
Calculate the common denominator of (3 + -7 - (-13478)/6552) + 16/8 and -61/910.
16380
Let o(r) = -2*r**3 + 119*r**2 + 79*r - 1080. What is the smallest common multiple of o(60) and 3474?
34740
Let y(w) = 363*w**2 + 15*w - 15. Let v be y(1). Let h = v + -362. Calculate the smallest common multiple of h and 195.
195
Find the common denominator of (18/129)/(536/469) and 21/3268.
3268
Let y = -573 - -580. Calculate the lowest common multiple of y and 3*-3*(-8)/8.
63
Let n = 13806 - 19714997/1428. What is the common denominator of 113/462 and n?
15708
Let n = 33 - 14. Let k(j) = 416*j + 151846. What is the smallest common multiple of n and k(-365)?
114
Suppose -316 = -13*d + 17*d. Let i = d + 91. What is the least common multiple of i and 36?
36
Let o(m) = 262*m**2 - 9*m - 2. Let n be o(-6). Let p = n - 94941/10. Calculate the common denominator of (27*12/48)/(-48) and p.
320
Calculate the common denominator of 1/573 and (-60)/(-5670)*(-51)/(-2).
12033
Let l = -12592 + 151069/12. Find the common denominator of -77/82 and l.
492
Let z = -9364171/165 - -56752. Find the common denominator of (-13)/65 - (-181)/330 and z.
330
Let l = 11426 - 1988123/174. What is the common denominator of ((-14)/(-30))/((-6)/(-85)) and l?
522
Suppose -278 - 98 - 112 = -122*q. Calculate the lowest common multiple of 2048 and q.
2048
Calculate the lowest common multiple of 537 and 1385/30 - (-156)/(-12) - (-1)/(-6).
5907
Suppose 13 + 31 = 2*x. Let n(l) = -3*l - 3. Let u be n(3). Let k = x + u. What is the smallest common multiple of k and 16?
80
Let u be (18/27)/(26/36). Let h = -256/117 - u. Find the common denominator of h and 17/230.
2070
Suppose 5*k - 7 = 3*h + 3*k, -5*h = 3*k - 1. Let z = 3117 - 65417/21. Calculate the common denominator of z and ((15/24)/h)/((-81)/36).
126
Find the common denominator of -181/30 and (-12 + 13)/(117/123).
390
Let h(f) = -f**3 - 4*f**2 - 16*f + 7. Let z be h(-5). Let o = z - 98. Calculate the smallest common multiple of o and 14.
14
Let t(r) = -24*r - 288. Let m be t(-12). Suppose 25 = -41*j + 43*j - k, 4*j + 2*k - 62 = m. Calculate the least common multiple of j and 80.
560
What is the least common multiple of 2435 and (56/(-68))/((-160)/1360)?
17045
Let z(d) = -13 + 32 - 14 + 28*d. What is the least common multiple of z(1) and 63?
693
Let y(w) = 17*w + 10. Let z be y(-1). Let i(k) = -4*k - 26. What is the smallest common multiple of i(z) and 270?
270
Let l(v) = 57*v + 3. Let p be l(-1). Calculate the smallest common multiple of (-12)/((-1)/(-1))*42/(-126) and (-3*192/p)/(2/9).
48
Calculate the common denominator of (-1)/(-9)*62/(-6) and (-10)/(-