2102/7. Calculate the common denominator of y and -23/10.
280
Suppose -2 = 4*x - 6. Let v(q) = 4*q**2 + 28*q + 5. Let m be v(-7). Let g(c) = -c**3 + 7*c**2 - 7*c - 11. Calculate the smallest common multiple of x and g(m).
4
Suppose s - 4*s + 26*s - 12696 = 0. Calculate the lowest common multiple of s and 39.
7176
What is the lowest common multiple of (3/(-1*(2 + -1)))/((-27)/180) and 4064?
20320
Let b be 3175/(-6)*(-12)/8. Let w = 789 - b. Let v = 1289/42 - 748/21. What is the common denominator of w and v?
28
Let i be -1*(-53)/11 + 38/209. Let w(c) = 22*c - 34. What is the least common multiple of 16 and w(i)?
304
What is the smallest common multiple of 36/14*(-52864)/(-192) and 42?
4956
Let m be (-5)/(-30) + 2/(-8). Let x = 5/3 - m. Find the common denominator of 2 + 4 + (-434)/44 and x.
44
Find the common denominator of 16/1215 and (88/(-120))/(36/210).
2430
Suppose -4*g - 5 + 1 = 0, 0 = 4*b - 4*g - 9208. Suppose 6*v + b = -867. Calculate the common denominator of (-4)/(-22) + (-2313)/v and 63/20.
80
Let x = 42809411/660 + -259449/4. What is the common denominator of x and 83/220?
660
Let w(j) = -j**2 + 26*j - 12. Calculate the lowest common multiple of w(10) and (-16)/32 - 57/(-2).
1036
Let y(l) = 665*l**3 + 2*l**2 + 4*l - 12. What is the smallest common multiple of y(2) and 44?
5324
Let h = -23145 + 23346. What is the lowest common multiple of 834 and h?
55878
Suppose 16 = -4*m + 4*n, -2*m + 5*n - 26 = -3*m. What is the lowest common multiple of 9 - 4*104/(-32) and (-10)/m*(-16)/20?
88
Let m = -8762 - -867445/99. Find the common denominator of ((-4)/55)/(1/(-15)) and m.
99
Suppose 2*x = 5*g - 7948 - 54703, -g - 62681 = 2*x. Let d = -1002913/32 - x. Calculate the common denominator of d and (-204)/153 - 566/(-96).
32
Suppose 2*u - d = 130, -4*u = 4*d - 22 - 226. Calculate the least common multiple of 144 and u.
576
Let m(c) = -18*c - 331. Let v be m(-17). Let l = -92191/15 + 6150. What is the common denominator of l and ((-110)/v)/(-2 + 8)?
15
Suppose -2*v + 55 = 3*v. Let x(w) = w**2 - 8*w - 6. Let o = 281 - 248. Calculate the lowest common multiple of x(v) and o.
297
Let c be 9 + -4 - (-1)/1. What is the common denominator of (-31)/((576/(-64))/((-3)/5)) and (44/32)/(c/88)?
30
Suppose -5*t - 52 = -4*r - 8, -2*r + 8 = t. Find the common denominator of -6 - -3050*r/3024 and 101/2.
252
Let n(t) = -19*t - 40. Let k be n(-2). Let x(u) = u**3 - u - 4. Let d be x(0). Find the common denominator of 59/18 and d - (116/64 + k).
144
Let k(z) be the first derivative of z**2 + 44*z + 2602. Suppose 3*d + 95 = -2*d. What is the lowest common multiple of k(d) and 12?
12
Suppose -a + 3*c = -242, 2*a - 4*c - 135 = 361. What is the smallest common multiple of a and 10?
260
Let a = 5331 + -186554/35. Let d = -1384589/65 - -21302. Calculate the common denominator of a and d.
455
Find the common denominator of 473/(-420) - (78/14 - 6)/3 and -43/30.
60
Let h(r) = 391*r + 298. Calculate the smallest common multiple of h(2) and 4.
1080
Let u be 57029/(-5586)*-2 - (-2)/6. Let v = -1/532 + u. Find the common denominator of ((-1)/(-4))/((-5)/(-27)) and v.
20
Let m(b) = -51*b + 50. Let u be m(-10). Calculate the common denominator of -91/110 and (-168)/u*122/6.
110
Suppose -2*f = -23*r + 28*r + 16, f = r - 1. Find the common denominator of -99/10 and 98/(-28)*(0 - f/202).
2020
Suppose 433*s + 5*v = 428*s + 450, 3*s + 2*v = 268. Let y(h) = -4*h + 8. Calculate the least common multiple of s and y(-12).
616
Let n(u) = u + 20. Let r be n(10). Let j = 598/3 - 196. What is the common denominator of (0 + r/(-27) - -2) + -2 and j?
9
Calculate the common denominator of 25/432 and ((-603)/(-360))/((-36)/180*144/(-2)).
1728
Let j(y) = -y**3 + 42*y**2 + 99*y - 2400. Calculate the lowest common multiple of j(43) and 19 - (2 + -3 - 0).
40
Suppose -78275 - 134169 = -22*z + 154142. What is the least common multiple of 11 and z?
183293
Suppose 20 = t + t. Suppose -4 = 2*v, -i + 5*v = -192 + 134. What is the smallest common multiple of t and i?
240
Suppose 3*f - 202 + 590 = k, -f = 4*k + 125. Let i = -111 - f. What is the smallest common multiple of i and 4?
36
Let v = 2444 - 24467/10. What is the common denominator of -22/515 and v?
1030
Let d(b) = b**3 - 5*b**2 + b + 6. Let n be d(5). Let q(j) = 4*j - 35. Let f be q(n). Let p = f + 24. Calculate the smallest common multiple of 30 and p.
330
Suppose 4*c = -3*q + 93, -2*c - 3*q + 38 = -7. Calculate the least common multiple of 40 and c.
120
Let i = 2/5422862590791 - -11418886434709313150999/65074351089492. Let g = i - 175531243. Let k = 56782 + g. Calculate the common denominator of 17/20 and k.
180
Suppose -3*w + 30 = 2*c - 224, 5*c = -w + 76. Suppose 16 = g - w. Let h = g - 66. What is the lowest common multiple of h and 16?
144
Find the common denominator of (-142)/(-568) + (-62)/(-24) and 34/99.
198
Suppose 113*p + 6 = 116*p, p = -3*c + 17. Let w(l) = -2*l**3 - 3*l**2 + 1. Suppose -a - 3 = -1. What is the lowest common multiple of w(a) and c?
5
Let t = 554 - 548. Suppose -s + 46 = 2*q, 13*q = -4*s + 16*q + 129. Calculate the smallest common multiple of t and s.
36
Let s(p) = 5*p**2 + p - 5. Let n be s(0). Calculate the common denominator of -85/8 and (-1522)/(-220) + (40/(-44))/n.
40
Let j be 1552 - 123/(-41)*4/6. Calculate the common denominator of 4 + 1 - 5513/j and 149/120.
840
Let u = 26822 + -24854. What is the smallest common multiple of u and 2624?
7872
Let z = 1134901 + -11285967/10. Let y = 6297 - z. Find the common denominator of 33/40 and y.
40
Suppose -5*m + 9*m + b = 25, 6*b - 45 = -3*m. Suppose 18 + 2 = 5*g. Suppose -2*w + g = -w. What is the smallest common multiple of m and w?
20
Let w = 0 - -6. Let z(j) = 12*j**3 - j - 3. Let h be z(-2). Let i = -83 - h. What is the least common multiple of i and w?
42
Suppose d - 4 = 5. Suppose 2*o = d*o - 266. Suppose -93 + o = -5*q. What is the smallest common multiple of 2 and q?
22
Let v = 39/35022405623 + -52910134324641973/6545687610938700. Let l = v - 2/15575. Find the common denominator of ((-234)/243)/(38/21 - 2) and l.
36
Let a be ((-4)/(-6))/(21/466606). Let q = 1782175/126 - a. Let w = 666 + q. Calculate the common denominator of 61/28 and w.
28
Let y = 3586 + -3531. Calculate the smallest common multiple of y and 341.
1705
Suppose -4*v = -16, -6*b + 48 = -4*b - 5*v. Suppose 0 = 2*d + 4*f - f - 81, 0 = 3*d + 2*f - 114. Let c = d - b. Calculate the least common multiple of c and 16.
16
Find the common denominator of (31150/(-2100))/(17/(-3)) and -26/77.
2618
Let h(t) = -3*t**3 - 2*t**2 + 2*t**3 - 2 - 2. Calculate the lowest common multiple of (-22)/1716*13*-78 and h(-3).
65
Suppose 0*u + 3*u - v = 43, 0 = 3*u + 3*v - 51. Suppose 9*a = u*a - 90. What is the least common multiple of 12 and a?
60
Find the common denominator of -13/20 and (-12 + 15)*(-498)/20448.
5680
Let t(n) = -7*n + 157. Let c = 220 + -201. Calculate the lowest common multiple of 14 and t(c).
168
Let t = 494 - 26. What is the smallest common multiple of t and 36?
468
Suppose 2*b = -5*l - 4 - 0, -2*b = -l - 8. Suppose -3*h = -2*p + 7, p = b*p - 2*h - 8. What is the least common multiple of 76 and p?
380
Let i(n) = -14*n - 22. Let h be i(-2). Suppose -h*y + 140 = -y. Calculate the lowest common multiple of y and 56.
56
Let c be 5/(-1) + 84484200610/6160. Let g = 13714973 - c. Let x = 39/77 + g. What is the common denominator of x and -31?
8
Let j = -1102711/42 + 26252. Calculate the common denominator of j and ((-1030)/12)/5 - 5/5*-7.
42
Suppose 18*n - 6*n + 25650 = 62*n. What is the lowest common multiple of n and 570?
5130
Let l = 93 + -2. Let h = l - 84. What is the smallest common multiple of 14 and h?
14
Find the common denominator of -13/20 and 2/(-7) + (-6)/(-3304)*17190/(-135).
1180
Suppose 0 = -60*u + 76*u - 1056. Let d = u - 59. Calculate the least common multiple of 14 and d.
14
Let y = 20 - 15. Suppose s + 12 = y*s - 2*a, a = -2*s + 10. Suppose 30 = 3*t + 3*i, s*t - 2*i = 22 + 18. What is the lowest common multiple of 3 and t?
30
Suppose -v + 5 = 3*h + 30, 3*v = 2*h - 86. Let y = v + 43. What is the lowest common multiple of y and 114?
570
Let u = 696 - 3214. Let v = 35233/14 + u. Find the common denominator of ((-1)/6)/((-6)/477) and v.
28
Let c = -186 - -182. Find the common denominator