836)/(-170))*10 and 198?
1584
Suppose 6444 = 3*h + h. Let d be (-8)/(-2) + 653631/(-406). Let r = h + d. Find the common denominator of r and -75/22.
154
Suppose -5*s + 5*w = 6 + 14, 0 = s - 2*w + 8. Suppose -3*y + v + 45 = s, y = 2*v - 5*v + 15. Calculate the lowest common multiple of y and 21.
105
What is the common denominator of -1*8/(-40) + 293/(-40) and -27/7?
56
Calculate the common denominator of -2*758/(-640) - 63/21 and 27/4.
160
Let x(l) = -7*l + 19. Let z be x(8). What is the common denominator of 4*(-5)/(-570)*z and 70/3?
57
Let v(s) = -s**2 - 8*s - 2. Suppose -3*b + 104 = b. Suppose 0 = -3*l - 4*i, 2*i = l + 4*l - b. What is the least common multiple of v(-6) and l?
20
Let i(j) = j + 8. What is the lowest common multiple of 9*5/(-60) - 19/(-4) and i(-4)?
4
Suppose 8 = 6*l - 4*l. Calculate the lowest common multiple of (1 + 3 + -2)*l and 2*(28/(-8))/(2/(-4)).
56
Let k = -2045 + 22504/11. Calculate the common denominator of -74/123 and k.
1353
Suppose -5*c - 11 = 19. Calculate the common denominator of 2277/546 - c*3/(-63) and 2/3.
78
Let u(r) = -r**3 - r**2 + 2*r + 392. Let o be u(0). What is the lowest common multiple of 2 and (-22)/(-99) - o/(-18)?
22
Find the common denominator of -43/49 and 5 + -4 + 5 + 1200/(-231).
539
Let w(f) = f + 20. Let g be w(-14). What is the smallest common multiple of 2/g + (-390)/(-45) and 6?
18
Suppose 6*y - 51 = -9*y - 6. Let w = -2 - -7. Suppose 0 = -2*b - w*u - 13, 4*u = 7 - 27. What is the lowest common multiple of b and y?
6
Let v = -4264484 + 93626375/22. Let p = v + 8738. Find the common denominator of p and 290/36 + (-4)/4.
198
Let g = 410 + -4819/12. Find the common denominator of g and -47/6.
12
Let s = -24 + 14. Let v = s + 16. Suppose -54 = -v*p + 3*p. What is the lowest common multiple of 12 and p?
36
Let d be (126/4)/(-3) - 12/(-24). Calculate the common denominator of d/(-550)*3/((-12)/(-850)) and -53/16.
176
Let p(v) = -v**3 + 7*v**2 - v + 9. Suppose -7 = -a + 4. Suppose a*z = z + 10. Calculate the least common multiple of z and p(7).
2
Suppose 2*y = -5 + 25. Suppose 232 = -3*z + 7*z. What is the lowest common multiple of y and z?
290
Let n be -27 + -2 + (0 - 2). Let p = -21 - n. Calculate the lowest common multiple of p and 21.
210
Let w = 3715/3 - 1263. What is the common denominator of -28/27 and w?
27
Suppose -2371 = -6*x - 2173. What is the smallest common multiple of x and 18?
198
Suppose z = r + 4, z = -3*z + 5*r + 13. Calculate the common denominator of 9/2 and ((-1)/(-28))/(z/(-91)).
28
Let l be (-1 + (-147582)/(-76))*19/(-57). Let k = l - -1937/3. What is the common denominator of (330/350)/(2/5) and k?
266
What is the common denominator of (15 - 2576/120)/(4/(-10)) and -25/2?
6
Calculate the common denominator of 95/14 and (1639/(-5940)*5)/(-3).
2268
Let j = -792 - -1662. Suppose 4*x - j = x. What is the common denominator of 25/8 and x/30 + -3 + 0?
24
Let x = -95 + 263. What is the least common multiple of 12 and x?
168
Suppose 4*q + 4*d = 28, d = -q - 2*q + 11. Suppose 5*s = 5*g - 70, -5*g - q = 3. Let o = -11 - s. What is the lowest common multiple of o and 9?
36
Let u(p) = -7*p + 1 - p**3 + 0*p**3 + 4*p. Let y be u(-4). What is the common denominator of -19/8 and y/(-9) + (3 - 0)?
72
Let o = 23220 - 417821/18. Calculate the common denominator of o and -19/6.
18
Let k be (27/31509)/(1/(-16)). Let h = -89539/23340 + k. What is the common denominator of -97/16 and h?
80
Suppose 2*n = -x + 17 + 15, -140 = -5*x - 5*n. What is the lowest common multiple of x and 36?
72
Find the common denominator of (-1309)/(-2870) - 1/5 and -41/5.
410
Let g = 3181658161/1108331064 + -132/327521. Let t = g - -2/423. Find the common denominator of -24/11 and t.
88
Let l = 87 + -49/2. Let m = -82 + l. Let i = 1/1844 - 119869/16596. What is the common denominator of i and m?
18
Let m = 302 + -286. What is the least common multiple of 132 and m?
528
Let p(g) = -g**3 + 12*g**2 - 20*g + 31. Let d be p(13). Calculate the common denominator of 37/20 and d/48 - 24/(-36).
40
Let q = 54 + -18. What is the lowest common multiple of q and 4?
36
Let x be 28 - 10/((-25)/(-5)). Suppose q = -0*q + x. Let w = 22 - 6. Calculate the least common multiple of w and q.
208
Let s = 3/44 - -347/396. What is the common denominator of 23/54 and s?
54
Let f(b) = -b**3 + 6*b**2 + 2*b + 5. Let c(x) = -2*x**3 - 8*x**2 + 57*x + 238. Calculate the least common multiple of c(-6) and f(5).
40
Let r = -42 + 36. Let i = 12 + -7. Calculate the smallest common multiple of 8 and 1*(3 - i) - r.
8
Suppose 104 = 3*t - 2*i, 2*t + 2*t - 2*i = 142. Calculate the smallest common multiple of t and 10.
190
Let d be ((-6)/(-2) - -1) + -1. Suppose 0 = u - 3, 59 = 4*n + n + d*u. Suppose 0 = 3*m - 10 - 2. What is the smallest common multiple of m and n?
20
Find the common denominator of -13/44 and (-1 - 26/(-20))*(-1100)/40.
44
Suppose 7*u = 10*u - 24. Let y be (12/6)/(2/u). Calculate the lowest common multiple of y + -3 + (-6)/(-2) and 8.
8
Find the common denominator of -83/62 and (54 + 1 - 8)/(-1 - -45).
1364
Let q(z) = 9*z. Let k be q(0). Suppose -3*c + 4 + 5 = k. What is the smallest common multiple of -2 + (-1 - -5) + 11 and c?
39
Let z = 41 + 116. Suppose 5*y + z = 4*i - 87, 244 = 4*i + 4*y. Find the common denominator of 69/20 and (-2 + 4)*i/(-32).
80
Let o = 0 - -108. Suppose -3*r - o = -5*x - 0*r, -4*r + 64 = 2*x. Calculate the least common multiple of x and 2.
24
Let s(i) = 46*i - 21. Let d be s(-6). Find the common denominator of (-2)/8 + 251/12 and ((-59)/(-4))/((d/12)/11).
9
Calculate the common denominator of 25/46 and (-4)/23*340/765.
414
Let i(d) be the second derivative of -d**3/6 + 7*d**2/2 + 17*d. Let w = 6 + -1. What is the smallest common multiple of 8 and i(w)?
8
Let t = 9586/9 + -1068. Let i(w) = -w**3 + 6*w**2 - 2. Let b be i(4). What is the common denominator of t and 9/(-12)*196/b?
90
Let t = -39105/8 + 4878. Suppose 0 = v + 2*v + 4*w - 50, w = 5. Calculate the common denominator of v/8*(-834)/(-45) and t.
24
Let f = 222/83 + -9974/1743. What is the common denominator of (1328/(-24) + 5)/(0 + 10) and f?
210
Suppose 703 - 839 = -8*p. What is the smallest common multiple of 27 and p?
459
Let d(n) = 147*n**3 - n**2 + 4*n + 1. Let g be d(-3). Let u = g + 79839/20. Find the common denominator of 29/20 and u.
20
Suppose 3*r + 0*w - 78 = -3*w, -126 = -5*r - 3*w. What is the lowest common multiple of 40 and r?
120
Suppose 40*i - 741 = 939. What is the lowest common multiple of i and 14?
42
Let h = 2/137 - 6723/685. Let n = 4567/9 + -514. Find the common denominator of n and h.
45
Let b = 9 + 0. Let d = b + -12. What is the common denominator of ((-382)/32 - d) + 3 and 11/14?
112
Suppose 14 = -3*f + 4*x, 2*f - 4*x + 8 + 8 = 0. Let l = 10 - f. Suppose 5*h + 0*h = 70. Calculate the smallest common multiple of h and l.
56
Let d = -125863/20 - -6291. Let q = -778/3 - -4795/18. What is the common denominator of d and q?
180
Let x be 17581706/(-52745110) + 4/12. Let l = x - 22054648303/3797647920. Let i = 49/99 + l. Calculate the common denominator of i and 5/4.
16
Suppose -7*t + 70 = -2*t. Suppose 0 = 3*w + 2*f - 26 - 30, 4*f = w - 28. Calculate the smallest common multiple of t and w.
140
Let z = 891 + -1697/2. Let n(h) = -h - 1. Let q be n(2). What is the common denominator of z and 247/(-48) + (-1)/q?
16
Let y(o) = -o**2 + 72*o + 39. Calculate the lowest common multiple of y(65) and 12.
2964
Let f = 97 - 85. Suppose -781 = -f*y - 241. Calculate the least common multiple of 21 and y.
315
What is the common denominator of 3 + 1 + 330/(-32) and 55/188?
752
Let o = -1099 + 6613/6. Let u = -189 + 622/3. Calculate the common denominator of o and u.
6
Suppose 8*s = 7*s + 35. Let h = s + -13. Calculate the least common multiple of h and 2.
22
Let v be -14*((-92)/(-28) + 1). Let i be ((-9)/(-2))/(6/v). What is the common denominator of 47/12 and ((-78)/i)/(24/(-70))?
36
Suppose 0 = 14*a - a - 78. What is the lowest common multiple of 222 and a?
222
Suppose -23*i = -39*i + 432. Suppose -s + 111 = 4*z + 2*s, -5*z = -2*s - 110. What is the smallest common multiple of z and i?
216
Suppose -8*r = -9*r - 43. Let l = r - -22. Find the common denominator of (-44)/30*l/4 and 41/20.
20
Suppose -5*r - 3*j = -397, 3*r + 4*j - 235 = 3*j. Let l