+ 613/420?
420
Let v(j) = -320*j - 1176. What is the lowest common multiple of 176 and v(-4)?
2288
Find the common denominator of (-15)/45 - 2*38/100*-1 and 67/2028.
50700
Let l = -163068166097/18640372348 + -56/8743139. Let r = l + -1/533. What is the common denominator of -119/10 and r?
20
What is the lowest common multiple of (-1108 - (-32 + 20))*(-12)/(3 + 1) and 4110?
16440
Let t(f) = 3*f + 20. Let s = -146 - -152. What is the least common multiple of 14 and t(s)?
266
Suppose 5*r - 2*r - 30 = 0. Let y(l) = l**3 - 11*l**2 + 21*l - 20. Let v be y(r). Calculate the lowest common multiple of 22 and (v/(-8))/((-21)/112).
660
Let h = -23/233 - 19063/2796. Let o = 16471/654 - 2/109. Find the common denominator of o and h.
12
Suppose -3*n + 2381 + 2913 = 575. Calculate the lowest common multiple of n and 1144.
12584
Let f be (3 + (-30)/9)/((-161)/4791). Let q = f - 100/23. Let m = q + -169/14. Calculate the common denominator of 12 and m.
2
Let s = -249764/77175 - -698/225. What is the common denominator of -61/3087 and s?
3087
Calculate the common denominator of -93/820 and (586/(-90) + 3)*(-360)/480.
2460
Suppose -p = -18*p + 510. Suppose 0 = 6*h - p. Suppose -64 = -4*i + h*t, -3*i + 48 = -t - 4*t. Calculate the least common multiple of 4 and i.
16
Let v(k) = -21*k + 127. Let i be v(25). Find the common denominator of 3*((-52)/(-30) + -1) and -2*i/1036 + 134/469.
185
Let a(o) = -o**3 - 21*o**2 - 37*o + 424. Calculate the lowest common multiple of 10 and a(-21).
12010
Let u(d) = -528*d - 1556. What is the lowest common multiple of 780 and u(-3)?
5460
Suppose -57*c + 53*c = -2*r + 2520, 5*r + 4*c - 6328 = 0. Calculate the lowest common multiple of 1106 and r.
8848
Suppose 2*u - 6*o + 8*o = 380, -4*u - 2*o = -760. What is the least common multiple of (-204)/(-85)*u/4 and 54?
1026
Find the common denominator of -77/2610 and (-143)/78*(-1 - (-78)/45).
2610
Let p = -51032137/192 - -265793. What is the common denominator of -31/168 and p?
1344
Let o(n) = 5*n**2 + 22*n - 2. Let r(z) = -z**2 + 1. Let w(x) = o(x) + 6*r(x). Let u(d) = -17*d - 53. Calculate the smallest common multiple of u(-5) and w(20).
352
Find the common denominator of 99*(-17)/(-187) + 44/(-5) and -33/20.
20
Suppose -3*t + 2573 = -5*h - 2323, 0 = -10*t - 5*h + 16320. What is the smallest common multiple of 612 and t?
4896
Let q(h) = -h**2 - 3*h + 4. Let z be q(-8). What is the common denominator of ((-4)/10)/(z/435) and (-61 - (-48 - 24))*(-1)/14*-1?
42
Let f be (-268)/(-6) + 160/120. Suppose -6*s + f = 28. Suppose 3*x + 0*x - 33 = 0. Calculate the least common multiple of s and x.
33
Find the common denominator of -41/112 and 12194/9856 + -2 - 1/(-11).
448
Let d(u) = -31*u**3 + 9*u**2 - 5*u - 15. Let o be d(7). Let v = o - -163807/16. Calculate the common denominator of 3*2166/(-1980) - (-3)/5 and v.
176
Let w = 2294020/63 + -36412. What is the common denominator of (-795)/2544*(-388)/70 - (-7)/(-49) and w?
504
Suppose -2*p + 9 - 69 = 0. Find the common denominator of -95/8 and (64/p + 2)/(64/(-790)).
48
Let q = -29351/72 - -2443/6. Find the common denominator of q and 58/63.
504
Let q be (-2)/(-6)*(13 - -5)*-3. Let u(d) = -6*d - 88. Calculate the lowest common multiple of 68 and u(q).
340
Let l = 17/69 + 1099/207. Let u be (-36)/30*(-25)/(-59270). Let n = u - -278623/106686. Calculate the common denominator of n and l.
18
Let c = 208 - 104. Suppose 0 = 4*m + 48 - c. What is the least common multiple of m and (-8)/(-1) - (15 - 19)?
84
Suppose -14*a - 10 = -16*a. Suppose a*d + 33 = 8, -i - 4 = d. Calculate the common denominator of -31/4 and (-225)/(-80) + -3 + i.
16
Let c = 24597801/188 + -130839. Calculate the common denominator of c and 23/940.
940
Let f be (-549)/(-12) + (-1)/(16/12). What is the common denominator of 51/2 and (-266)/f - (-60)/(-50)?
18
Let s = 1113 - 789. Let i(m) = m**2 - 98. Let k be i(-10). Suppose 3*l + 7 = j, 5*j + k*l = 44 + 8. What is the smallest common multiple of j and s?
1620
Let m be -3*(-5)/(45/(-48)) + -2. Let i be 16/10 + m/(-45). Find the common denominator of (3 - 4)/i + (-105)/162 and -29/15.
135
Let s(p) = p**3 + 5*p**2 - p - 13. Let g be ((-27)/18)/((36/(-32))/(-3)). Calculate the least common multiple of s(g) and 70.
70
Let a = 44 + -41. Suppose -a*z = 52 - 352. Suppose -3*v - z = -8*v. Calculate the smallest common multiple of v and 8.
40
Suppose -5*s + n + 16 = 0, -s - 2 = -2*s - n. What is the least common multiple of 773 and s?
2319
Let i = -42 - -45. Suppose 2*m = 3*q - 0*q + 2, i*q = -4*m - 32. Calculate the common denominator of (8/(-4))/(-6 + 0) + m and -19/11.
33
Suppose -3*z + 3786 = 2*c, -117*c + 112*c = -3*z - 9402. What is the smallest common multiple of c and 6?
1884
Let u be (-18)/81 + 27046/(-6840). Let k = -29/19 - u. What is the common denominator of k and 38/(-8) + 0 + 4?
20
Let u be 16/4 - (-538)/(-19). Let g = 7284/323 + u. Let j = g + 877/102. Calculate the common denominator of 34/75 and j.
150
Let n = 379/2 - 560/3. Calculate the common denominator of (-36)/(-14) + (-275566)/(-29540) and n.
30
Let l = 635 + -8853/14. Find the common denominator of -34/73 and l.
1022
Suppose 0*m = m - 2*j - 1140, -40 = 8*j. Calculate the lowest common multiple of m and 678.
3390
Suppose 8*r = 3433 + 879. What is the smallest common multiple of 539 and r?
539
Let f(d) = -8*d**3 - d**2 + 2*d - 1. Let u be f(1). What is the common denominator of -2 + (-3 - 117/u) and 33/(-10) + (-230)/575?
40
Let c = -123 - -208. Let j be (-2 - -1)/((-13)/1183). Let p = j - c. What is the least common multiple of p and 11?
66
Let p(i) = i**3 - 12*i**2 - 31*i + 42. Let z be p(14). Suppose 3*r = a + 26 - 19, a - 5 = z. What is the least common multiple of 41 and r?
164
Let r = -23 - -24. Suppose 0 = n - 3 - r. Suppose 5*o - 55 = -5*d, -2*o = -2*d + 2*o + 16. Calculate the smallest common multiple of n and d.
20
Let j(g) = -2*g**2 + 131*g + 553. Let m be j(-4). Suppose 2*a + 9 = -r - 18, 69 = -3*r - 2*a. What is the lowest common multiple of (-4)/m*r/(-1) and 8?
56
Suppose -4*w - 5*g + 24 = -7*g, -5*g = 0. Let m(p) = -p**2 + 11*p - 22. What is the least common multiple of w and m(7)?
6
Suppose -8 = 2*w - 28. Suppose -3*r - 3 + 27 = 0. What is the least common multiple of r and 132/w*(-150)/(-90)?
88
Suppose -2*f + 3*j = 3*f - 27924, f + 5*j = 5540. Calculate the least common multiple of f and 84.
39060
Let d = 187143/16088 + -15/2011. What is the common denominator of d and -22/5875?
47000
Let f = -11 - -15. Let b = 15035 - 15033. Suppose 5*p - b*y = -y + 41, -p = -f*y + 7. Calculate the lowest common multiple of 18 and p.
18
Let u = 3/6112 + -262933/238368. Find the common denominator of u and -119/1830.
23790
Let k(j) = j**3 + 6*j**2 - 15*j - 10. Calculate the least common multiple of 678 and k(-5).
10170
Calculate the lowest common multiple of (11/(-3))/((-6)/270) + (377 - 371) and 798.
2394
Let j = -50 - -51. Let i(c) = 56*c + 60*c + j - 115*c. What is the smallest common multiple of i(7) and 54?
216
Let h = -7898778959/70 + 112872181. Let m = -32481 + h. Calculate the common denominator of m and 47/8.
280
Let o be (16/12)/(4/(-366)). What is the common denominator of 91/8 and (o/1020)/((-100)/125)?
408
Let h = 4 + -2. Suppose 0 = h*o + 4*a - 72, 3*o = a + 27 + 102. Suppose -5*f + 2 = 5*l - 18, -5*f = -5*l + 60. What is the smallest common multiple of l and o?
168
Suppose -15*u + 49*u - 103036 - 116842 = 0. What is the least common multiple of u and 6?
38802
Suppose 5*s = 3*d + 10132, -10*s + 12*s - 4066 = -d. What is the lowest common multiple of 315 and s?
18270
Suppose -13*n - 4388 = -384. Let g = n + 155. Let h = -49 - g. What is the least common multiple of 14 and h?
728
Let s = 8577 + -8379. What is the smallest common multiple of s and 255?
16830
Let j = -467958 + 468048. What is the smallest common multiple of j and (-626)/(-14) + (-4)/(-14)?
90
Let s = 110 - 14. Suppose 0 = 3*u, -2*d - 157 = 2*u - 5. Let g = s + d. What is the lowest common multiple of g and 6?
60
Let k(j) be the third derivative of 0 + 1/120*j**6 - 7/3*j**3 + 0*j + 17/24*j**4 + 6*j**2 - 17/60*j**5. What is the least common multiple of 12 and k(16)?
12
Find the common denominator of 21/2258 and (-102)/300*(39/2 - 2) - 0.
22580
Let h(y) = y**3 + 5*y**2 + 4*y + 5. Let u be h(-