7). Find the common denominator of r/1820 + (-6)/(-21) + 4 and -23/12.
780
Suppose 4*y = -4*t - 9 + 53, 3*y = -t + 13. Let c(d) = d**2 - 234*d - 1677. What is the smallest common multiple of c(-7) and t?
10
Suppose -2*g - 32 = -6*g. Let z(y) = -2*y**2 - 2*y - 6. Let w(p) = p**2 + 2*p. Let i(u) = 3*w(u) + z(u). What is the lowest common multiple of i(2) and g?
24
Let m(i) = -i**2 - 13*i + 11. Let o be m(-15). Let k = 33 + o. Calculate the lowest common multiple of k and (2/(-3))/(2/(-72)).
168
Let p = -21934 + 10938. Let l = 198037/18 + p. What is the common denominator of 44/45 and l?
90
Let g = -242/30235 + -1056557719/544230. Let s = 1937 + g. What is the common denominator of s and 91/60?
180
Find the common denominator of (68/(-8) - -6)*((-342)/(-220))/(-9) and 27/11.
44
Let a(g) = -g**2 + 6*g - 8. Let p be a(2). Suppose -45*c + 188 + 172 = p. What is the smallest common multiple of c and 43?
344
Let g(t) = 1526*t + 16. Let d be g(5). Suppose 6480 = n - d. Let b = -621449/44 + n. Calculate the common denominator of -73/28 and b.
308
Suppose -i + 4 = 0, 3*s = 4*i + 15 + 149. Suppose 76 + s = g. What is the least common multiple of 40 and g?
680
Suppose -5*z = -3*z + 5*a + 91, 5*a - 38 = z. Let q be (2 - 2) + (z - 5). Find the common denominator of -57/56 and 404/q*1*(-6)/8.
112
Let b(l) = -l**2 + 12*l + 19. Let s be b(-7). Find the common denominator of (-370)/100 + 1/(-5) and 7/3*((-375)/s + -4).
190
Let q = 706 - 137671/195. Let l = 218/5 - 5177/120. What is the common denominator of q and l?
1560
Let h be 3/6*(2 - -6). Let b be h/6 + -1 + 8302704/1440. Let u = 5766 - b. Calculate the common denominator of -2/27 and u.
270
Let c(r) = -33*r + 336. Calculate the least common multiple of 6 and c(-18).
930
Let g(r) = -136*r + 849. Let h be g(6). Let v be 1418/2*(0 - -1). What is the common denominator of 25/27 and v/h + (-54)/(-297)?
27
Let r be (158942/21)/(4/(-6)). Let t = -226993/20 - r. What is the common denominator of -23/20 and t?
20
Suppose 18*f = 18 - 0. Let v(j) = 16*j**2 - 3*j + 3. What is the lowest common multiple of v(f) and 60?
240
Let z = -12 - -80. Suppose 87 = r - 3*t - z, r = 5*t + 145. Calculate the smallest common multiple of 2 and r.
170
Find the common denominator of 17/(-680)*8 - ((-9674)/(-5440) + -2) and 7/2992.
29920
Let h(p) = 2*p**2 - 3*p + 1. Let q be h(2). Suppose -11*k - q = -69. What is the least common multiple of 41 and k?
246
Let z be 3/((-20785)/(-20) - -1). Let w = z + 67939/8322. Let t = 803/28 - 197/7. Calculate the common denominator of w and t.
84
Let k be (-188)/(-32) - 4/(-32). Let s(y) = 3*y**2 - 13*y - 6. Calculate the smallest common multiple of s(k) and 4.
24
Suppose -35*y - 18 = -38*y. Calculate the common denominator of -43/75 and (6/18*y)/36*-13.
450
Let p be ((-24)/(-240))/((-4)/(-46970)). Let l = 1156 - p. Find the common denominator of l and (-25)/3 + 0/2.
12
Suppose -3*c + 4*u = -29 - 28, -5*u + 57 = c. Calculate the least common multiple of c and 7599.
68391
Let j be 4/(-16 + 0) - (-332)/32. Let x = j + -305/24. Find the common denominator of -37/66 and x.
132
Let y = 579097367/1482 + -390754. Find the common denominator of y and 7/3.
1482
Let s(x) = -x**3 - 6*x**2 + 8*x + 9. Let b be s(-7). Let p(m) = 28 + m**3 + 40 - 69 + m**2. Calculate the lowest common multiple of 12 and p(b).
132
Let y = -5207 + 5217. What is the least common multiple of y and 98?
490
Suppose 4*d - 1320 = -2*q, 1977 = 4*q - q + 5*d. Calculate the lowest common multiple of q and 16.
5232
Let b = 3/2210 - -549/170. What is the common denominator of b and 59/76?
988
Let p(w) = -2*w**3 - 7*w**2 + 6*w - 20. Let n be p(-5). Suppose -n = 2*z - 49. Calculate the least common multiple of 33 and z.
132
Suppose 0 = -4*l - 3*n + 17, -3*l - 17 = 3*n - 26. What is the smallest common multiple of l and 2824?
2824
Let y be 3/(-15) + ((-3594)/15)/2. What is the common denominator of 109/70 and 0 + (-7)/((-1372)/y)?
490
Let w be ((-4)/(-6)*-1)/((-212624)/26982). Let j = w - 7/137. Let b = -6021/3104 + j. Find the common denominator of b and 145/24.
96
Let h = -23701/798 + 572/19. What is the common denominator of -109/308 and h?
924
Suppose -4*h = -5 - 7, -x + 2*h = 1992. Let z = 15861/8 + x. Calculate the common denominator of 397/(-198) - (-18)/(-81) and z.
88
Suppose 8*m - 72 = -2*h, -37*h = 2*m - 41*h - 36. Suppose 0 = d - 2*d + 27. Let x = 39 - d. What is the lowest common multiple of m and x?
60
Suppose 5*f + 5*w = 15, 4*f - 6*f + 4*w + 12 = 0. Suppose -v + 3*v = -5*h + 130, h - 4*v = 4. Let p = -10 + h. Calculate the least common multiple of p and f.
28
Let c = 87487/856575 - 228/1175. What is the common denominator of c and -34/243?
729
Let y be 62966/(-170154) + -1 - 4/12. Let a = y + -1/3151. Find the common denominator of -4/21 and a.
189
Let o = 13 + -48. What is the common denominator of (3 + (-115)/o)*1 and 143/186?
1302
Let f = -37736718 - -18792896945/498. Let i = f + -5/249. Calculate the common denominator of (-10)/4 - 2296/(-2378) and i.
174
Calculate the common denominator of (-20)/(-50) + (-2198)/4655 and 48/7.
665
Let i(c) = c**2 - 28*c - 128. Let f(n) = 2*n - 2. Let l(v) = 2*f(v) + i(v). Calculate the smallest common multiple of 7 and l(-5).
91
Let o(b) be the first derivative of -5*b**2 - 15*b - 62. What is the least common multiple of o(-3) and 54?
270
Let g = 0 - -6. Calculate the smallest common multiple of 8/3*(-15)/(-2) and (-4)/(-6) - ((-2)/g + -3).
20
Calculate the common denominator of 4/9 and (1443/234 - (-6)/(-36)) + 22808/(-3805).
34245
Let q = 70 + -60. Suppose -q*g + 6072 = -8*g. Let u = 60763/20 - g. Find the common denominator of u and -5/28.
140
Suppose -3*i = -0*i + 2802. Let q = i - -7425/8. Let v = 8411/400 + -621/25. Calculate the common denominator of q and v.
16
Let u be (-19811668)/61984*-1 - 1. Let w = -2549/8 + u. Let i = 118148/17433 + w. Calculate the common denominator of -23/4 and i.
36
Let x(s) = -s - 111. Let o be x(-32). Find the common denominator of (-20)/16*(o/9 + 5) and 43/112.
1008
Let o(u) be the first derivative of -13*u**2 - 51*u + 166. What is the least common multiple of 14 and o(-6)?
210
Let p = -395 + 401. Suppose g = -5*t + 10, -3*t - g + 5*g = -p. What is the lowest common multiple of 10 and t?
10
Let j(d) = 6*d**2 + 93*d - 30. What is the smallest common multiple of 1674 and j(-16)?
1674
Let u = -139 - -149. What is the smallest common multiple of (-2)/(-4)*(u - 8) and 6?
6
Let i(f) = -f**3 + 19*f**2 - 17*f - 24. Let q be i(18). Let l = 25139/63 + -399. Calculate the common denominator of q/33 + 2496/297 and l.
63
Suppose 15*g = -4*g + 342. Suppose -8*q + 9*q - g = 0. Calculate the lowest common multiple of q and 8.
72
Suppose 1311*y = 1297*y + 2464. What is the smallest common multiple of 792 and y?
1584
Let v(n) = -24*n - 12. Let b be v(-3). Suppose 5*h - 3*r - 2*r - b = 0, 0 = -5*h - 5*r + 60. What is the smallest common multiple of 30 and h?
60
Let o(h) = 4*h - 84. Let p be o(19). Let f = -1/3430 - -5351/686. Calculate the common denominator of (4/p)/(7/39) and f.
70
Let a = -4208/3 + 1390. Calculate the common denominator of (-270)/9180*5/(15/(-174)) and a.
51
Calculate the smallest common multiple of 287 and (-27 - -28) + -7 - 1*-111.
4305
Let m = -8605 - -129127/15. What is the common denominator of m and 83/340?
1020
Let s(z) = -z**3 + 26*z**2 + 27*z + 10. Let q = 21 + -21. Suppose d = -3*d + 3*x + 7, -3*d + 4*x = q. Calculate the lowest common multiple of d and s(27).
20
Suppose 0 = 4*m - 0*m. Let p = -31273 - -31300. Calculate the lowest common multiple of (-7 + m + -2)*-2 and p.
54
Suppose 4*m + 48 = -2*i, -2*m + i + 3*i = 24. Let n = -2747 - -2768. Calculate the least common multiple of (-64)/m + (-2)/(-3) and n.
42
Let i(h) = 7*h**2 + 4*h - 45. Let r(n) = 5*n**2 + 4*n - 45. Let f(b) = 3*i(b) - 4*r(b). Calculate the least common multiple of f(0) and 50.
450
Suppose -509 - 110756 = -85*n. Calculate the lowest common multiple of 13 and n.
17017
Let t = -59 + -4. Calculate the common denominator of ((-3)/5)/(14/t) and -46/11.
110
Suppose 0 = -2*v - 3 + 25. Suppose 2*h - 2 = -3*k, 6*k + 20 = v*k - 5*h. Calculate the lowest common multiple of 138 and k.
138
Let a = -42780137/2760 - -77501/5. Find the common denominator of 33/460 and a.
2760
Let g be -