 be k(-5). Suppose -i + 40 = a*i. Suppose 0 = 8*c - i*c + 28. Calculate the least common multiple of 10 and c.
70
Suppose -5*h - 16 = -h. Calculate the lowest common multiple of h/(-6) + (-1)/(-3) and (-2*7/(-98))/((-875)/441 + 2).
9
Let y(l) be the first derivative of l**2/2 + 27*l - 10. Let h be y(-25). Calculate the common denominator of -31/4 and (226/144)/(1/h).
36
Let l(g) = -g + 9. Let v be (-14)/((-1 - -7)/(-3)). What is the lowest common multiple of l(v) and (30/9)/((-7)/(-21))?
10
Calculate the least common multiple of (-4254)/3545 + (-66)/(-5) and 5*(-5)/((-50)/72).
36
Calculate the common denominator of 91/58 and ((-945)/1680)/(3/(-34)).
232
Suppose -4647 = -248*h + 3470 - 2165. Suppose 5*v - 203 = 4*a - a, 4*v + 2*a = 158. What is the smallest common multiple of h and v?
120
Calculate the common denominator of (4 + -3)*-2 - ((-39221)/1134)/13 and -139/648.
648
Let f = 9089786/157 + -57897. Calculate the common denominator of ((-238)/(-18))/(2954/633) and f.
942
Let t = 3860 + -2996. Calculate the lowest common multiple of 216 and t.
864
Suppose -3427 = 117*l - 4*l - 4105. Calculate the lowest common multiple of l and 30428.
91284
What is the least common multiple of -7*80/35 + 1218 and 4?
2404
Suppose 11*z - 27 = 105. Calculate the smallest common multiple of z and 594.
1188
Let n be (-48315 + (2 - 0))/1. Let y = 5314303/110 + n. What is the common denominator of 16/77 and y?
770
Calculate the common denominator of (2588/(-1332) + 2)/((-46)/(-552)) and -19/111.
111
Let x = 117/4 - 481/20. Calculate the common denominator of x and 51/923.
4615
Suppose 20*i - 27*i = 2*o - 63, 2*i = -4*o + 186. Calculate the least common multiple of o and 163.
7987
Suppose 0 = 10*t - 2108 - 132. Find the common denominator of (2*87/(-6))/7 and ((-36)/7)/((-528)/t).
77
Let n = 10/2731 - 226252/630861. What is the common denominator of n and 5/187?
3927
Let y = -132 + 145. What is the common denominator of -37/9 and 7/70*5 + y/(-4)?
36
Suppose 2*k + 170 = 5*n, -57*n = -62*n + 5*k + 155. Calculate the lowest common multiple of n and 54.
108
Let j(o) = 4*o**3 - 13*o**2 + 7*o + 15. Let g(c) = 11*c**3 - 38*c**2 + 22*c + 47. Let d(a) = -3*g(a) + 8*j(a). What is the least common multiple of d(8) and 33?
297
Suppose 0 = 2*c - 3*k + 511, 7*c + 3*k = 8*c + 257. Calculate the common denominator of 17 - 20 - c/75 and -131/6.
150
Let x = 7 - -5. Let h(u) = u**3 - 11*u**2 - 10*u - 12. Let k be h(x). What is the common denominator of (-3 + (-33)/k)/((-2)/(-4)) and -69/4?
4
Let f = -1032 + 1472. Calculate the lowest common multiple of 6 and f.
1320
Let p = -10 - -14. Suppose -5*v = -p*y + y + 20857, -v + 4*y = 4168. Find the common denominator of 3 - (v/(-80))/7 and -119/10.
20
Let w(a) be the second derivative of a**4/12 + 5*a**3/2 + 43*a**2 - 84*a - 2. What is the lowest common multiple of w(-6) and 18?
288
Let h = -438830959/643290 - 6/107215. Let y = h - -22378/33. What is the common denominator of y and (-2)/104*2272/(-16)*-1?
286
Suppose 0*d = 5*d - 195. Suppose -21*k = -18*k - 9. What is the common denominator of k*2/d - 3186/260 and -61/4?
20
Suppose 524*j - 521*j - 222 = -a, 5*a + 2*j - 1045 = 0. Calculate the smallest common multiple of a and 92.
828
Let w = 852030590/1211 - 703576. Find the common denominator of w and -113/1038.
7266
Let u = -233 - -329. Let k be u/(-18) + (-6)/2. Let n = 7 + k. What is the common denominator of -43/12 and n?
12
Let j = 2 + 3. Suppose -j = -2*i + 7. What is the smallest common multiple of i and 3/12 - (-6952)/352?
60
Let a = -26 + 29. Let d be -8 + 9 + a + 0. Calculate the common denominator of (170/24 - 4) + d and -103/6.
12
Let u = 25642/15 - 1708. Calculate the common denominator of -21/110 and u.
330
Let f = -114451/49520 + -4/3095. Calculate the common denominator of f and 13/31518.
252144
Let s be (28/588)/((-6)/7). Let o = s - 61/36. Find the common denominator of 40 and o.
4
Let p = -3597 - 9002. Let u = p - -151273/12. Calculate the common denominator of u and 40/3.
12
Suppose 110 = 2*r - 2*g, -4*r = -2*r - 5*g - 128. Calculate the smallest common multiple of 350 and r.
2450
Let y = -18395 + 257429/14. Calculate the common denominator of y and -59/3566.
24962
Suppose -9*x = 140684 + 4090. Calculate the least common multiple of (-2)/(-8) - (x/(-8))/(-21) and 24.
96
Let q = -1113/110 - -160463/16060. Calculate the common denominator of q and -47/92.
6716
Suppose 3*w = 20 + 46. What is the least common multiple of w and (-1580)/(-36) - (-13)/117?
44
Let n(w) = 10*w**2 + 51*w - 4. Let c(j) = -11*j**2 - 61*j + 4. Let r(b) = 5*c(b) + 6*n(b). Suppose 5 = -p + 3. What is the least common multiple of 6 and r(p)?
42
Let p = 38 - 43. Calculate the common denominator of p + ((-165)/18 - -5) and -3 - 0 - (-369)/(-18).
6
Suppose -86*i = -91*i + 25. Suppose 2*o + 13 = -0*c + c, -i*c = -2*o - 73. Calculate the least common multiple of c and 5.
15
Let x(y) = 9*y - 397. Let f(b) = -13*b + 398. Let l(j) = 5*f(j) + 6*x(j). What is the smallest common multiple of 12 and l(-36)?
12
Find the common denominator of ((-596)/148 + 4)/(6/(-282)) and (-16)/50*585/(-18).
185
Let m = 18570623 + -2005670063/108. Let g = -1577/4 - m. Find the common denominator of 55/276 and g.
2484
Let i(r) = -r**3 - 7*r**2 + 5*r - 6. Let x be i(-7). Let l = x - -45. Calculate the common denominator of (178/3)/(32/l) and 19/66.
132
Let t(s) be the third derivative of 11*s**4/24 + 2*s**2. What is the common denominator of ((2632/(-84))/(-47))/((-579)/(-189) - 3) and t(1)?
2
Let t(g) = 4*g + 1. Suppose 15 + 9 = 3*a. Let x be t(a). Suppose -2*h + 36 - 6 = 2*r, -3*r + h + x = 0. Calculate the lowest common multiple of r and 20.
60
Let f = -15657 - -4591. Let b = f + 442567/40. What is the common denominator of -91/45 and b?
360
What is the least common multiple of 14/273*-3 - ((-1020)/39 - -2) and 744?
744
Let w(y) = y**2 - 17*y + 4. Let h be w(-16). Suppose -4*r = 4*p - h, -r = -4*p - 4*r + 535. What is the common denominator of 15 and p/187 - (-1 - -3)?
11
Let g(v) = 74*v - 73. What is the lowest common multiple of 387 and g(2)?
9675
Let a(w) = -1386*w**3 + 3*w**2 - w - 2. Let o be a(1). Let m = 5505/4 + o. What is the common denominator of m and -37/189?
756
Let r(s) = s**2 + 109*s + 393. What is the least common multiple of 3 and r(-106)?
75
Let b = 392323 - 306796653/782. Let z = 53/156 - 2887/156. Calculate the common denominator of b and z.
2346
Let r(d) = -d**3 + 2*d**2 + 7*d - 30. Let g be r(-6). Let f be (534/9)/((-3)/(-12)). Let y = f - g. Calculate the common denominator of 2/15 and y.
15
Find the common denominator of -4 - (4 - (-5 - (-14204)/1080)) and 73/42.
1890
Let u(d) = 3*d**3 - 96*d**2 - 2*d + 90. Calculate the least common multiple of u(32) and 9.
234
Let g = 41 - 21. Let c be (-1915293)/315 + 4/g. Let h = c - -6076. Find the common denominator of -67/12 and h.
84
Let p = 328967 - 328872. Suppose -220 = -2*z - 2*z. Calculate the lowest common multiple of z and p.
1045
Let l = -5531 + 5891. Calculate the smallest common multiple of 200 and l.
1800
Let q = -16407 - -36932148/2251. Let m = -91967/81036 + q. Find the common denominator of m and -53/3.
36
Suppose 145 - 45 = -5*d. Let x = d + 73. What is the smallest common multiple of 5/(-3)*(0 + 2 + -5) and x?
265
Suppose -5*j + 5*d = -340, 2*d = -2*j - 3*d + 143. Let v = j - 72. Let i(w) = -w**3 - 4*w**2 - 4*w - 1. Calculate the least common multiple of i(v) and 9.
18
Calculate the common denominator of 139/300 and (-246)/112*(-350)/(-4500).
1200
Suppose -4*g + 728 = 2*j, 3*g + 1074 = -46*j + 49*j. Calculate the lowest common multiple of 36 and j.
360
Find the common denominator of (-8203)/1624 - -13*150/390 and -5/16.
3248
Let p = -24095 + 24097. Let g = 25 + -13. Calculate the lowest common multiple of p and g.
12
Let t(g) = 4*g - 25*g**3 + 23*g**3 + 5*g**2 - 13 + 9*g**2. Calculate the least common multiple of 30 and t(7).
30
Let y = 31 - 3. Let v(l) = -454*l + 1380. What is the lowest common multiple of y and v(3)?
252
What is the common denominator of -9/49 and -1409*22/210210 + 4/30?
637
Calculate the common denominator of (-687)/2977 - (-9050)/30654 and 31/2.
2358
Let d be (0 - 0) + 3*-9412 + -6. Find the common denominator of (-106)/(-48)*(2 + -4) and d/3240 + 1 + 6/(-5).
12
Let x be ((