ator of l/18 + 2*q and -35/34.
306
Let d = -44863 + 3454503/77. Find the common denominator of 44/21 and d.
231
Let m be (-2)/(((-4)/(-56))/(-1)). What is the common denominator of 653/84 + (-20)/(-140) and m/(-5)*(-15)/(-27)?
36
Find the common denominator of 119/10 and -7 + -5 + 90039/7530.
2510
Suppose -36*f + 73*f + 38786 = 119*f. What is the smallest common multiple of 387 and f?
4257
Find the common denominator of 133/138 and (-102)/9936*172 - -2.
414
Let w be 2/(-18) + (-5157)/(-2058). Let b = -2/343 + w. Find the common denominator of 91/188 and b.
1692
Suppose -74 = -5*y - 4*c, 117 = 5*y + c + 61. Let h(x) = 2*x - 9. Let z be h(5). Suppose 2*p + z = 13. Calculate the least common multiple of y and p.
30
Let l be ((-15)/(-9) + 3)/(-82). Let u = l + -8431/984. What is the common denominator of u and 22/41?
328
Suppose g - 45 = -3*q, -2*g + 50 = -q - 3*q. Let c = 100 - g. Suppose c*a = 63*a + 80. What is the lowest common multiple of 2 and a?
20
Calculate the common denominator of 41/63 and 54546/40194 + (-128)/96.
20097
Suppose 4*i = -1482 + 350. Let t = i - -313. Calculate the lowest common multiple of t and 20.
60
Let z = -259931 - -134716. Let p = z + 13773527/110. What is the common denominator of 19/121 and p?
1210
Let g = -42/827 - 92611/16540. Calculate the common denominator of (-2824)/(-100) - (11 + 17) and g.
100
Suppose 16*c - 2732 = -1532. What is the least common multiple of c and 525?
525
Let q be 0 - -927 - (2 - 5). Suppose 4*i + i = q. Suppose -18*o = 4*o - 44. What is the smallest common multiple of i and o?
186
Let o = -17 + -3. Let f be 12/30 + (-4)/(o/(-17)). Find the common denominator of f/9 - 20*(-3)/99 and 67/6.
66
Let q = 24977/6 + -4159. What is the common denominator of q and -5/108?
108
What is the common denominator of 1664788/(-165980) - (-10)/1 and -38/193?
965
Let j = -202280221903/184920 - -25159296/23. Let r = j - -35/201. What is the common denominator of 61/28 and r?
280
Let h(t) = -2*t**3 - 75*t**2 - 45*t - 272. Calculate the smallest common multiple of h(-37) and 2584.
7752
Let n(y) = -y**2 + 2*y + 13. Suppose -k + 110 = 80. What is the smallest common multiple of k and n(-2)?
30
Suppose 5 = k, -k = 2*g + 3*k - 30. Calculate the least common multiple of g/(-3)*(-672)/80 and 18/(2/4*3).
84
Let h(t) = t**3 - 4*t**2 - t + 3. Let z be h(3). Let g be (0 + 1)*(-3)/(z/15). Suppose -g*f = 2*f - 70. Calculate the least common multiple of f and 9.
90
Suppose 176*s = 397*s - 4420. Calculate the lowest common multiple of 9796 and s.
48980
Find the common denominator of -137/2832 and 3/54*-149*(-2)/96.
50976
Let z = -22717199101/288 - -78879039. Let f = z - -1106/9. Calculate the common denominator of 103/56 and f.
224
Let p = -13 + 19. Suppose 0*v - p*v = -18. Calculate the smallest common multiple of 10 and (-3)/v + 8 + 2.
90
Suppose 82 = 4*d - 2. Suppose 9*p - d = -q + 4*p, 5*q - p = 27. Calculate the smallest common multiple of q and 8.
24
Calculate the common denominator of ((-8)/(-18))/(4/(-6))*(-24525)/412892 and -61/2.
1894
Suppose 4*u = j - 733, -7*j + 4*u - 1490 = -9*j. Calculate the common denominator of 46/39 and j/104 + 0/3.
312
Let c = -1630 + 65243/40. Let s = -207538 + 41507621/200. What is the common denominator of c and s?
200
Let z = -714635451031/3116 - -229343863. Let l = z - 362/41. Calculate the common denominator of l and -119/12.
228
Calculate the least common multiple of -2 - (-1 + -7) - (-1 + -4) and 687.
7557
Let g(n) = 2*n**3 - 2*n**2 + 2*n - 2. Suppose 5 = -10*f - 175. What is the smallest common multiple of ((-27)/f)/(((-15)/(-44))/5) and g(2)?
110
Suppose 14*r + 1746 = 2138. Calculate the least common multiple of r and 1462.
20468
Let o = 26573/1586 + -419/26. Calculate the common denominator of 74/183 and o.
183
Let m = -143617/1620648 + 1/4941. Calculate the common denominator of 7/820 and m.
1640
Let m = 707600/77 - 9190. Calculate the common denominator of m and -28/121.
847
Let h = 7243 - 7181. Suppose -3*s + 2*s = 55. Let y = h + s. What is the smallest common multiple of 3 and y?
21
Let h = -2681/96 + 931/32. Calculate the common denominator of h and (-4)/(-10) + 1371/(-390).
78
Suppose 0 = -2*i - 4*d + 14, 2*d - 4 = -2. Suppose a - i*o - 37 = 0, -8*a + 9*a = 2*o + 22. What is the least common multiple of a and 60?
60
Let a be 2/(-30)*(-1338)/(-40). Let x = -270963/25 + 10837. Let k = a + x. Find the common denominator of -1/9 and k.
36
Suppose -3*p - 4*f + 46 = 0, -p - f = 3*p - 70. Suppose p*b + 30*b - 9792 = 0. Calculate the smallest common multiple of 24 and b.
408
Let d = -284020 - -284164. Suppose -3*p = -8*p - 3*q + 150, -5*q - 124 = -3*p. Calculate the least common multiple of p and d.
1584
Let t be (891/(-396))/(2*6/(-2144)). What is the common denominator of -75/68 and (48/(-360))/(136/t)?
340
Let c = -357 - -357. Suppose -6*w + c*w = -48. What is the least common multiple of 4 and w?
8
Let f = -5/8223 - -7094/16174641. Let i = f - 293077/35406. Calculate the common denominator of i and 25/48.
144
Let a = -39/994 - 2791/49203. Let y = 4/331 + 16211/662. What is the common denominator of a and y?
198
Let s(l) = -22 + 1 + 9 + 10*l. Let h(z) = z + 18. What is the smallest common multiple of h(0) and s(2)?
72
Suppose 5*a + 325 = 3*d, d - 790*a = -794*a + 148. What is the smallest common multiple of d and 88?
1320
Let u = 41 - 134/3. Suppose x + 4*x + 171 = -3*s, 5*s = 15. Find the common denominator of (-8)/((-32)/x)*7/5 and u.
15
Let c = -23 - -34. Let t = 21 - c. Let m = 33 - 21. Calculate the lowest common multiple of t and m.
60
Find the common denominator of -4 - ((-3)/((-840)/(-631)) + (-87)/232) and (-399)/(-882) - (-2)/(-3).
70
Calculate the common denominator of (23/(-483))/(324/(-172)) and -5/189.
1701
Let p be 375/(-2) - (-6 - (-77)/14). Let v = p + 193. Calculate the smallest common multiple of 22 and v.
66
Let h = 1221581/45995365 - -2/39481. Let r = h - 24743/27960. What is the common denominator of r and -77/24?
120
Let u(f) be the second derivative of f**5/20 + 2*f**4/3 - 15*f**3/2 + 20*f**2 + 119*f. Calculate the least common multiple of u(-12) and 16.
16
What is the common denominator of (2873/845)/((-62)/(-6)) and -43/1705?
1705
Suppose -47*z + 10 = -178. Calculate the least common multiple of 398 and z.
796
Suppose 8 = 2*q - 4*n, -4*q - 3*n = -17 + 1. What is the lowest common multiple of ((-1)/q*-2)/(3/6) and 34?
34
Let f be (-341887)/333938 - (-48)/264. Let i = f - -14/353. Let q = 1953 + -7767/4. Calculate the common denominator of i and q.
172
Suppose -391 = w + p - 74, 5*p - 1223 = 4*w. Let s = 10016 + -871358/87. Calculate the common denominator of (4 - 2)/(-2) + w/(-91) and s.
609
Let a be 281/4*(-5)/2. Let l = -174 - a. Find the common denominator of l and -57/44.
88
Let z(s) = 19*s - 14. Let u be z(1). Calculate the least common multiple of 297/110*26 - 1/u and 77.
770
Let v be (-749)/266 - 8/((-16)/6). Let p be 1*(340/114 - 3). Let c = p + v. Calculate the common denominator of -40/3 and c.
6
Let q = 183 + -175. Suppose 2449 = q*m - 383. What is the least common multiple of m and 5?
1770
Let m be (2/3)/(2/18). Let n(f) = -f**3 + 7*f**2 - 6*f + 6. What is the smallest common multiple of 45/(-12)*384/(-80) and n(m)?
18
Let t(d) = d**2 - 6*d + 7. Let l be t(1). Suppose 4*g = l*o + 6 + 18, o = -3*g + 18. Calculate the least common multiple of g and 44.
132
Let r be 5 + 4 + 0 + (-5 - -2). Suppose p - r = -p. Suppose 0 = 4*w + 2*h + 5 - 45, 0 = p*w - 2*h - 23. What is the least common multiple of w and 14?
126
Let r = 202/79 - -2131/1422. Let h be (-1414)/7*(-6)/(-4). What is the common denominator of r and h/48 + 5 + 0/(-3)?
144
Let k(t) = -931*t - 119. Let o be k(6). Find the common denominator of -14/99 and o/2100*2/(-3).
990
Let g = -352892639/20 + 17649410. Let b = -4780 + g. Let c = 487/1400 + -421/200. What is the common denominator of c and b?
140
Let y(g) be the second derivative of -1547*g**4/12 + g**3/3 + g**2 - 18*g. Let j be y(-1). Calculate the common denominator of -89/4 and -1*3 + j/(-170).
20
Calculate the smallest common multiple of 488 and -1464*(946/44 + -22).
1464
Let d(j) = 3*j - 73. Let t be d(19). What is the smallest common multiple of 56 and ((-18)/(-24))/((-3)/t)?
56
Let j(q) = 6*q**2 - 13*q - 35. Let t be j(-9).