.
8712
Suppose 7*w = -427 - 182. Let m = w - -81. Find the common denominator of -25/2 and m/(-80)*1236/18.
20
Calculate the common denominator of (10 + 21)/(756 - 0) and -145/336.
3024
Let l be 0 - 6/(-4) - (-5)/10. Suppose 3*b - 24 = -w, 7*w - 43 = -4*b + l*w. Calculate the lowest common multiple of 49 and b.
49
Let f(c) = c**2 - 12*c - 11. Let l be f(-7). Let o = l - 111. Suppose -5 = -2*w + 3. Calculate the least common multiple of w and o.
44
Let x = 2/168205 - -24043379/835642440. Find the common denominator of x and 101/1932.
34776
Suppose 0 = -n + 3, 972 = 3*c - 2*n - 1977. Let y be 16/(-20) + 4/(-20)*1. Calculate the common denominator of -3 - c/90*y and -32/63.
126
Let z = 7283006/35 + -208088. Find the common denominator of z and 2/5 + 11/(-4).
140
Let z = -39843/6370 + 399/65. Calculate the common denominator of z and ((-9)/45*3914/(-38))/((-36)/15).
2940
Calculate the least common multiple of (21/(-5))/((-81)/270) and (140/(-15))/((-1)/6).
56
Let b(f) = 6*f + 112. What is the least common multiple of b(-8) and (480/(-70))/(1/(-21))?
576
Let s = -53 + 490. Suppose 5*o - s = 4*x - 3*x, -5*x - 425 = -5*o. What is the lowest common multiple of 1/(-4) - (-246)/24 and o?
440
What is the common denominator of 14/3075 and 16/3000*(9 + -7 + 18)?
3075
Let w(n) = -2*n + 96. Let h(f) = -8*f + 286. Let a(d) = -4*h(d) + 11*w(d). Calculate the lowest common multiple of 432 and a(11).
4752
Suppose -14*s + 19 + 23 = 0. Let b(a) = 6*a**3 - 4*a**2 - 2*a + 7. Let q be b(s). Find the common denominator of 89/6 and q/24*1/(-3).
72
Let i(k) be the first derivative of -15*k**2/2 - 12*k - 8. Let w be i(-8). Calculate the lowest common multiple of 15 and w/5 - (-66)/(-110).
105
Let j be (-1 + 2)/(-1) + 87. Let h = j - 56. Suppose 2706 = 91*a - 9*a. Calculate the lowest common multiple of a and h.
330
Let o = 21 - 7. Suppose 0 = -o*i + 12*i - 60. Find the common denominator of 5/22 and ((-3)/(18/(-194)))/(40/i).
44
Let n be (-4425446)/280 + 116/(-406). Let p = 15800 + n. What is the common denominator of -61/30 and p?
60
Suppose 6*c - 1463 - 8213 = 4*c. What is the lowest common multiple of 6 and c?
14514
Suppose 5*u = s + 242, -3*u + 148 = -5*s + 3*s. What is the least common multiple of 645 and u?
10320
Let g be (150/93)/(-5 + 8014/1603). Let f = 2586 + g. Calculate the common denominator of -2 + (-2 - 87/(-12)) and f.
124
Suppose -8*r = 18 - 26. Let m(y) = y + 9. Suppose 72 = -2*c + 4*c. What is the least common multiple of c and m(r)?
180
Let k = -651379/1104 + 13591/23. Calculate the common denominator of 65/56 - (-2 + 2) and k.
336
Let g be (-126)/24*70/(-15). Let v = 57 - g. Find the common denominator of -42/43 and v.
86
Suppose -17*d + 141 = -80. Find the common denominator of d/((-1430)/(-33))*(-5)/(-22) and 29/44.
44
Let p(k) = 72*k**2 + 2 + 37*k - 36*k - 57*k**2. Calculate the least common multiple of 18 and p(-2).
180
Suppose -5*m = 506 + 294. What is the common denominator of 54/5 and m/675 - 6/(-45)?
135
Suppose -7*p + 3*p + 8 = 0, c + 12 = 4*p. Let n be c/(-16) + ((-17)/(-4))/(-1). Calculate the least common multiple of 66 and -12*n/8*1.
66
Let t(v) = 13*v + 22. Let y(c) = -c**3 + 11*c**2 + 12*c - 11. Let n be y(12). Let m be t(n). Let z = -1356/11 - m. What is the common denominator of -33 and z?
11
Suppose 21*x - 2392 - 170 = -101*x. What is the least common multiple of 1728 and x?
12096
Let z = -17001818/505 + 33667. Calculate the common denominator of z and -59/8.
4040
Let i = -42 - -123. Let g be -2 - (0 + 2 + -1). Let r = i - g. Calculate the least common multiple of r and 12.
84
Let l = -23 - -16. Let o(j) = -j**3 - 8*j**2 - 9*j - 4. Let c = -629 + 641. What is the lowest common multiple of c and o(l)?
60
Let z be 0/(2*-1) - -1. Let q be ((-91120)/(-51))/20*-3*15/6. Find the common denominator of 35/18 and (-2*z)/((-400)/q).
180
Suppose -2*m - 3*x + 5 = -3*m, m - 7 = -x. Suppose -4*k + 2*k = m*k. Find the common denominator of 404/(-32) + k/((-12)/(-3)) and 99/2.
8
Let z(x) = 11*x - 35. Let h be z(7). Let o be 288955/690*h/1430. Let n = o + 1/3289. Calculate the common denominator of n and -11/9.
90
Let v = -12 - 34. Let u = v + 46. Suppose -3*y - c = -22, -16 = -3*y - 4*c - u. Calculate the smallest common multiple of y and 20.
40
Suppose -2*o = 11 - 25. Suppose o = -z + 9. Suppose 4*v = 3*n + 5*v - 36, -n = -3*v - z. What is the least common multiple of 13 and n?
143
What is the least common multiple of (9 + -1)*44 - 22*3/66 and 1053?
1053
Let q = -14 - -50. Calculate the lowest common multiple of q and 81.
324
Let y be ((-3)/(-2))/(33/44). Let x(w) = -33*w + 14. Let o(h) = h - 1. Let u(c) = -4*o(c) - x(c). What is the lowest common multiple of u(y) and 14?
336
Suppose 2*z + 1919 = -2925. Let f = 29047/12 + z. What is the common denominator of f and -25 + (2/8)/((-13)/(-78))?
12
Let l(n) = -11*n**2 - 120*n + 15. Calculate the least common multiple of l(-11) and (-1332)/(-18) + (-1 - -4).
308
Let x(q) = q**3 - 9*q**2 - 26*q + 54. What is the least common multiple of 10 and x(11)?
10
Let u = -2831/7490 + 204/107. Let p = -5239 - -78616/15. Find the common denominator of p and u.
210
Suppose 1 = o - 0. Let p = 41 + -14. What is the lowest common multiple of 30 - (5 - (2 - -3))*o and p?
270
Suppose -114 = 794*s - 792*s. What is the least common multiple of 18 and 6/s - 2510/(-19)?
396
Let m = -303199/36200 + 3/4525. Let n(d) = 48*d**2 + d + 1. Let l be n(2). Suppose 15*y = -390 - l. What is the common denominator of y and m?
8
Let x(y) = 43*y**2 - 4*y + 1. What is the lowest common multiple of 220 and x(1)?
440
Let h = -648401/431480 - -690/469. Find the common denominator of h and -3/1150.
4600
Suppose 5*i - 20 = 7*u - 2*u, -2*u - 6 = 0. Let b be (4 - (3 + i))/1. Suppose 3*l - l - 22 = b. Calculate the least common multiple of 7 and l.
77
Let w = 5418 + -5406. What is the least common multiple of 18 and w?
36
What is the common denominator of -2 - ((-3)/40 + (-7)/35) and -113/920?
920
Suppose 0*c + 72 = 6*c. Suppose -15*f - 57 = -c. Find the common denominator of 5/6 and (-2)/(-60)*-223 - (f + -1).
30
Suppose 9*u = -16868 - 16639. Let c = 78217/21 + u. Find the common denominator of c and 7/246.
1722
Let y(j) = 76*j - 1878. Calculate the least common multiple of y(35) and 51.
2346
Let o be (-3)/9 + 13665/63. Let a = o + -217. Find the common denominator of -13*34/(-663) + 22/12 and a.
14
Let f = 147 + -150. Let q(m) = 10*m**2 - 3*m - 18. What is the lowest common multiple of 99 and q(f)?
891
Let m be ((-124034)/4)/((-27)/6). Suppose -17946 + 4158 = 2*p + 2*t, 0 = -2*p - t - 13792. Let f = p + m. Calculate the common denominator of 24 and f.
9
Calculate the common denominator of -143/6 and 8*579/5280 + (-1)/(-4).
330
What is the common denominator of (116/48)/((-5)/(-2)) and (-10127)/5985 - -3*(-4)/42?
90
Suppose 5*o - 5*w = -2 + 112, 3*o + 2*w = 76. Let u = o + -11. Find the common denominator of 49/4 and (-2)/u - 575/234.
36
Let l(r) = r**3 + 16*r**2 - 2*r - 27. Suppose -71 = 3*q - 23. Let k be l(q). Suppose 5*u + k*u - 30 = 0. Calculate the lowest common multiple of u and 6.
6
Let q be (-8 + 1 - -3) + 16. What is the common denominator of -21/4 and (-86)/(-60) - (16/q)/(-2)?
20
Let v = 25 - 9. Let k be 528/(-624) + (-4)/26. What is the least common multiple of (-14)/21*(k - 302) and v?
1616
Let p(s) = -2*s + 4. Suppose -558*g + 6626 + 24622 = 0. Calculate the smallest common multiple of p(-6) and g.
112
Let h = 11020327/15 - 3684561/5. Let l = h + 2230. What is the common denominator of 34/15 and l?
15
Suppose -212 = -r - 0*r - 4*i, 217 = r + 3*i. What is the lowest common multiple of 38/6 + (-10)/30 and r?
696
What is the common denominator of 63/10 and ((-93)/(-678))/((-8)/(-12))?
2260
Suppose 0 = 16*v - 0*v + 82144. Let l = v + 154193/30. What is the common denominator of l and -79/18?
90
Suppose -b + 1416 + 744 = 23*b. Calculate the lowest common multiple of b and 885.
5310
Let i = 15 + -14. What is the lowest common multiple of -6*2/(-3)*1 and (5 + 1)*i - 0?
12
Calculate the smallest common multiple of 2640 and (245/(-20) - -10)*-8.
7920
Let s be (3/(-2))/((-9)/(-12)). Let w = -1103550/31 + 35600. Calculate the common denominator of (s/3)/((-4)/231) and w.
62
Let o = 7164746/11 - 651344. Suppose -186 = -5*g + 204. What is t