 = -t - n. Calculate the common denominator of -15/8 and ((-10)/5)/((-12)/t).
24
Suppose -f - 9 = r - 3*r, -2*r + 6 = -4*f. Suppose 16 = -r*o + 46. What is the least common multiple of 7 and o?
42
Let h(l) = -l**3 + 9*l**2 - 11*l + 7. Let o be h(8). Let m = o - -24. What is the lowest common multiple of m and 7?
7
Let y = 5 + -9. Let q be y/(-6)*72/(-4). Let d = 21 + q. Calculate the smallest common multiple of d and 3.
9
Let n = 76 + -85. Find the common denominator of 46/63 and 6/n + 2 + (-233)/(-30).
630
Let h = -173395/40228 + 372/89. Calculate the common denominator of h and (-65)/18 + (-1688)/(-1899).
4068
Let u(m) = 33*m - 125. Calculate the smallest common multiple of 21/(-1)*(8 + -11) and u(4).
63
Find the common denominator of ((-1)/3)/((-1)/38) and ((-10)/(-56))/(3/48) + 0.
21
What is the common denominator of (-8)/(-44)*729/(-252) and -97/140?
1540
Suppose -4 = 4*x - 4*d, -2*d = x - 0*d - 2. Let o = x - -10. What is the common denominator of (95/o)/((-6)/4) and -85/8?
24
Suppose 3*r = -h + 1023, 3*h + 4*r = 5069 - 2005. Let u = h - 4159/4. Find the common denominator of u and -151/6.
12
Let c = 812596/115 + -7066. What is the common denominator of c and 53/50?
1150
Let n be 6203/6680 - 10/25. Let x = -34/167 + n. What is the common denominator of -115/6 and x?
120
Suppose 5*i - z = 5, -2*z + 3 = 2*i - 11. Suppose 5*y = -n + 373 + 166, i*n - 538 = -5*y. Calculate the common denominator of -109/12 and (-2589)/y + 2/9.
12
Let g be (-2 - (1 + 1)) + 4. Let k be (-14)/(-7) - (-1 + g). Suppose -k*w - 5 = -4*w. Calculate the least common multiple of w and 14.
70
Let d(l) = 55*l + 22. Calculate the lowest common multiple of d(1) and 42.
462
Let w(h) = -h**3 + 28*h**2 - h + 28. Let v be w(28). Let j(d) = -6*d + 3. Let g be j(-3). Let q = g - v. What is the common denominator of q and -119/10?
10
Suppose -4*u - 144 = -5*m, -2*m = 5*u - 0*m + 180. Let p be ((-20)/16)/((-3)/u). Let v = 23 + p. Calculate the smallest common multiple of v and 14.
56
Let l = 36 - 34. Suppose 0 = 4*w - 34 + 6. Calculate the lowest common multiple of w and l/(-7) - (-30)/7.
28
Let a be 0 - -3 - (-24209)/(-10). Let z = a - -2416. Let h = -2431/4 - -12349/20. Find the common denominator of z and h.
10
Suppose -3*o = 4*r + 7, 5*r - 5 = o - 2*o. Let f = r + 1. Calculate the lowest common multiple of f and 2/((-9)/11 + 1).
33
Suppose 0 = 2*n + 3*q - 0*q + 81, -5*q = 5*n + 215. Let x(j) = 4*j**2 + 4*j - 3. Let g be x(5). What is the common denominator of -65/22 and 3/6 - g/n?
176
Suppose -7 - 1 = -4*r, 2*r + 18 = 2*p. Let s be (0 + 2)*6/(-12). Let h(c) = -8*c**3 - 2*c - 1. Calculate the least common multiple of h(s) and p.
99
Suppose -351 = -4*s + d, -3*s + 2*d = -d - 261. What is the smallest common multiple of 8 and s?
88
Let u = -51780899/14 + 3694674. Let p = u - -3960. Find the common denominator of 645/54 - (-2)/9 and p.
42
Let x(y) = -24*y - 2. Suppose -4*k + 0 - 4 = 0. Let g be x(k). Calculate the least common multiple of (g/33)/(1/33) and 22.
22
Let d = 1644089034308322 + -1765069325897742764411/1073585. Let y = d + -6000/41. Let z = y + -3744443/314220. What is the common denominator of z and -49/10?
60
Let n = 2/75 - 581/225. Calculate the common denominator of -38/259 and n.
2331
Let o(c) = c**3 + c**2 - 3*c + 5. Let t be o(4). Suppose 2*n = -3*u + t, -u + 4 = -n + 28. Suppose 26 = 5*h - n. Calculate the least common multiple of h and 2.
22
Suppose 10*q = -3*f + 5*q - 38867, 5*q = -4*f - 51831. Let h = -207341/16 - f. Calculate the common denominator of -121/20 and h.
80
Let f = 36532/75 + -487. Calculate the common denominator of f and -32/9.
225
Let w = -3761/420 + 167/15. Calculate the common denominator of 27/32 and w.
224
Suppose 70 = 5*j - 5*n, -j + 6 = -3*n - 4. Suppose 4*r - j = 24. Suppose 8 + 12 = 5*q, 5*c + 3*q = 52. What is the lowest common multiple of r and c?
40
Let x(t) = t - 8. Let h be x(4). What is the common denominator of -74*(-4)/(-40)*(-1)/h and 125/36?
180
Let z be (-413)/(-28) + (-1)/(-4). Suppose -5*s + 15 = -4*u, -5*s = 2*u + 2*u - z. Suppose 3*g - s = 2*g. Calculate the lowest common multiple of 7 and g.
21
Suppose 4*t - 22 = 10. Let q = 18 - t. Suppose 5*p = p - 3*v + 28, 0 = -5*p + 3*v + 35. What is the least common multiple of q and p?
70
Let q be 16/10 + 4/10. Let h be (-31 - -21)/(10/(-4)). What is the common denominator of 12 and q/9*(-69)/h?
6
Let u be -8*(-2 - (2 + (-114)/(-21))). Let i = -17795/231 + u. Calculate the common denominator of -41/6 and i.
66
Let i be 1/(-3) - (-910)/39. Let u = i + -14. Calculate the common denominator of (28/(-32))/(u/52) and -3/22.
198
Calculate the smallest common multiple of 12 and 168/15 + 100/125.
12
Let b = -240139/503230 - -8/3185. Find the common denominator of 89/20 and b.
1580
Let u(w) = 50*w + 72. What is the smallest common multiple of u(2) and 12?
516
Let p = 123545 + -3705547/30. Let b = p - 128/5. Let y = -2/441 + 8423/9702. Find the common denominator of y and b.
66
Suppose -2*i + 2*h = h - 56, 0 = -4*i + 3*h + 108. Suppose -5*y + 155 = i. What is the least common multiple of ((-20)/y)/((-2)/15) and 1?
6
Let m = 15 - 7. Suppose -4*r + m = -0. Calculate the least common multiple of r and 15.
30
Suppose -29 = -6*x + 79. Suppose -2*k - x = -20. What is the least common multiple of k and 6?
6
Let u = -4 - -13. What is the lowest common multiple of 297/18*(-2)/(-3) and u?
99
Let h = 8 + -6. Suppose 3*r - h*t = 3*t - 19, -5*r - 15 = -5*t. Suppose 4*c - 19 - 5 = 0. What is the smallest common multiple of c and r?
6
Let l = 8 + -3. Suppose 8*r = v + 5*r, -2 = -2*v + l*r. Calculate the smallest common multiple of 7 and v.
42
Let i = 865 + -904. Let x = 4016/513 + 5/1026. What is the common denominator of i and x?
6
What is the least common multiple of -2*(-6)/(-9) - (-2265)/45 and 35?
245
Let c be 2/(-5) - 17006/10. Calculate the common denominator of 63/2 and (-4)/14 - 8235/c.
18
Let z(s) = 3*s**2 - 42*s + 115. Calculate the least common multiple of 70 and z(3).
560
Calculate the common denominator of (-23)/(3 - (-19)/(-3)) and -25/28.
140
Let p be ((-36)/(-10))/((-12)/(-40)). Suppose 3*w - p + 0 = 0. Calculate the least common multiple of 14 and w.
28
Let p be 2/(-8) - (-627)/12. Let b = 17/836 + 16443/3344. Calculate the common denominator of b and p/6*7/8.
48
Let v(g) = -g**3 - 8*g**2 - 6*g + 6. Let w be v(-7). What is the common denominator of (4/32)/(w/11) and 29/9?
72
Let l = 257 + -255. What is the lowest common multiple of 2 and l?
2
Let v be 3990/8 - (-1)/4. Let q = v - 949/2. What is the common denominator of 40 and q?
2
Suppose 2*s = -j + 4*j - 2, -8 = 3*j - 4*s. What is the common denominator of 39/1*j/(-12) and -85/16?
16
Let n = -331 - -387. What is the lowest common multiple of 42 and n?
168
What is the common denominator of (50/(-4))/(12 - 16) and 71/370?
1480
Calculate the common denominator of 75/266 and 1/(-7) + (-1366)/(-3192).
1596
Suppose z - 21*w + 17*w - 88 = 0, 3*z + 4*w - 200 = 0. What is the least common multiple of z and 63?
504
Suppose -22 = -5*m + 83. Let w(j) = j**2 + 7*j - 11. What is the smallest common multiple of w(-11) and m?
231
Let v = -167257 + 39639977/237. What is the common denominator of v and -61/9?
711
Let g be -1*(0 - -2) + 6. Suppose 2*j + a + 145 = -187, 0 = g*j + 5*a + 670. What is the common denominator of 3*j/(-78) + -3 and -55/8?
104
What is the common denominator of 7/120 and (76/72 - -3)/((-92)/(-69))?
120
Let s(q) = q**2 + 3*q + 1. Let b be s(5). Suppose 2*l = 2*x - 14, -5*x + 2*l + 3 = -b. Let p = -4 + x. What is the lowest common multiple of 2 and p?
6
Let x be 1/(-4) - 554530/79560. Let z = -99029 + 21885298/221. Let b = z + x. What is the common denominator of b and -55/4?
36
What is the lowest common multiple of 36 and (-6840)/(-51) - 2/17?
2412
Let k = 268383/20 - 13414. Calculate the common denominator of k and -54/7.
140
Let n be (-670)/(-40) + (-1)/(-4). Let b = -15 + n. Suppose -4*d = -b*d - 32. Calculate the least common multiple of 2 and d.
16
Suppose -2*o = -z + 3*z - 188, -z = -5*o - 70. Let p = z + -39. Find the common denominator of -13/7 and p/18 + (-1 - -2).
42
Let g = 81116 + -13789829/170. Calculate the common denominator of -107/204 and g.
1020
Let o = -32 - -52. Let s(r) be the second derivative of r**3/6