?
40
Let q(w) = -w**3 + 4*w**2 + 3*w + 2. Let n be (-2)/8 - (-246)/24. Let u(g) = -g + 14. Let l be u(n). What is the smallest common multiple of q(l) and 10?
70
Suppose -61*f + 59*f = 4*v - 140, 5*f - 280 = 4*v. What is the least common multiple of f and 20?
60
Let j be 1142/2376*993 - 2/8. Let z = -5118/211 + -1066222/2321. Let s = j + z. Find the common denominator of s and -81/20.
180
Let r = 2923/39 + 58/117. Let t = 605/9 - r. Find the common denominator of 36 + 1*(-1 - 0) and t.
9
Let s be (1/((-6)/8))/((-6)/(-18)). What is the common denominator of (s/(-40))/((-12)/395) and 21/16?
48
Suppose 3*j = -2*g + 16, -j + 0*g - 2*g = 0. Let q(i) = 17*i + 152. What is the smallest common multiple of q(-3) and j?
808
What is the smallest common multiple of 7 and -4 + 32/6 + (-66)/(-18)?
35
Let s(k) = 2*k**2 + 93*k + 310. Calculate the lowest common multiple of s(-43) and 291.
873
Suppose 8 - 20 = 2*g. Let c be (g/(-5))/(3/(-30)). Let y(v) = v**3 + 12*v**2 - 2*v - 4. Calculate the least common multiple of y(c) and 16.
80
Let w = -1441 + 3642. Let c = 35229/16 - w. Let f = -77/3 + 293/12. Calculate the common denominator of f and c.
16
Let b(g) = -4*g - 4. Let x be b(-4). Suppose 2*i + 0*t - 22 = 2*t, -3*i = 4*t - x. Calculate the least common multiple of i and 5.
40
Let n = -24 - -97/4. Calculate the common denominator of n and 1/4 - (-342)/(-27).
12
Suppose 5*b + 64 = 19. Let n = 10 + b. Calculate the common denominator of -23/5 and (n/18)/((-1)/32).
45
Let o = 1268 - 676. Calculate the common denominator of (-2)/4 - (-243)/24 and (o/36)/(-2) - -2.
72
Let g = -14540/3 + 2544284/525. Calculate the common denominator of -52/125 and g.
875
Suppose -2 - 6 = 4*o + 2*m, -4*o - 14 = -m. Let k = o - -9. Suppose -d - w + 18 = -6*w, w = d - k. What is the smallest common multiple of d and 10?
30
What is the common denominator of -5/2 and (5371/27552)/(2/(-4))?
336
Let q be (18544/(-9268))/(-2) + -1. Let w = q + 317417/27804. Find the common denominator of w and 109/10.
60
Suppose 0 = -0*d - 2*d + 24. Let a be d/(-18) + (-1086)/(-9). Calculate the common denominator of -73/6 and (-692)/a - (-1)/6.
30
Let h(p) be the first derivative of p**4/24 + 5*p**2/2 - 1. Let y(w) be the second derivative of h(w). What is the smallest common multiple of y(11) and 2?
22
Let n(t) = -2*t**3 - 3*t**2 - 3*t - 2 + t**3 - 33*t**3. Let m be n(-2). Let a = m + -4229/16. What is the common denominator of a and -117/20?
80
Let r = -265 + 185. Let d be ((-90)/r)/((-6)/(-296)). Let q = 611/12 - d. Calculate the common denominator of q and -71/18.
36
Let y(x) = -x**2 + 2. Calculate the lowest common multiple of y(0) and (-25)/(300/(-48)) - -4.
8
Suppose -2*j = -5*u + 4*u - 27, -6 = 2*u. Let q = -5 + j. What is the least common multiple of q and 4?
28
Let v be (-3815)/(-42)*6150300401/(-1495). Let o = -373680446 - v. Let i = 6/299 + o. Calculate the common denominator of i and -51/22.
66
Let s be (-2)/(-4 - -2) + 4. Suppose 4*w = -g - 3*g + 112, -s*w = g - 132. Find the common denominator of w/8 - (-2 + 2) and -11/16.
16
Suppose 9*b = 2643 + 6042. What is the common denominator of (b/(-42))/5 + (-2)/(-4) and -79/18?
126
Suppose 7*j - 169 = 4*j - 4*b, -j + 5*b = -88. Calculate the least common multiple of 105 and j.
315
Let z = 600 - 540. Calculate the smallest common multiple of z and 28.
420
Let d(v) = -52*v - 6. Let t(y) = -104*y - 13. Let z(x) = -5*d(x) + 2*t(x). Let g be z(1). Suppose l - g = -3*l. What is the least common multiple of l and 24?
168
Suppose -a = -r + 4, 4*a = -r + 6 + 3. Suppose p = 2*f - 11, f - 5*p + r = 3*f. Calculate the least common multiple of f and 6.
30
Suppose 0*g + 6*g - 264 = 0. Calculate the lowest common multiple of 24 and g.
264
Let v = -162 + 130. Let x(o) = -3*o - 54. What is the least common multiple of x(v) and 2?
42
Let f = -12031/15 + 3205/4. What is the common denominator of f and 20?
60
Calculate the smallest common multiple of 35 and 5/25*-2 + 34/10.
105
Let z = -147 + 151. Let f(o) = 3*o**2 + o - 5. Calculate the lowest common multiple of f(4) and z.
188
Let v be (-1)/((-42)/18) + 330/14. Suppose 0 = g - 0*g - 2*l - 4, 0 = -g + 5*l + 7. Calculate the least common multiple of ((-80)/v)/(g/(-18)) and 20.
60
Let y = 49151/9 + -573452/105. Find the common denominator of -11/350 and y.
3150
Suppose 2*k = -2*z + 1822, -4*k = z + 92 - 1012. What is the lowest common multiple of 22 and z?
9988
Let a = -298 - -310. Calculate the smallest common multiple of 69 and a.
276
Suppose i - 3*j + 4*j - 22 = 0, -4*i + 2*j + 106 = 0. Calculate the lowest common multiple of 70 and i.
350
Let p = -3937/2 + 854305/434. Find the common denominator of p and 79/28.
868
What is the common denominator of (-18)/(-42) + 919/126 and 3/196?
1764
Let k = -1250 - -1260. What is the lowest common multiple of 2280 and k?
2280
Suppose 0 = -5*c + 120 + 75. Suppose c = 5*u - 6. Calculate the lowest common multiple of u and 5.
45
Let p = -219601/18 + 12203. Let n = 7022/2439 + 8/813. What is the common denominator of n and p?
18
Let b(i) = 41 - i - 16 - 5. What is the least common multiple of b(4) and 48?
48
Let w be (-3 - 0) + (2 - -3 - -3). Suppose 0 = 3*g - w*q - 49, -g + 2*g - 23 = -5*q. Calculate the least common multiple of 18 and g.
18
Let f be 6/24 + 19/4. Suppose -4*h = -3*w - 15 - 0, 15 = f*h. What is the common denominator of 50 + w/(2/6) and -1/4?
4
Find the common denominator of (94/(-60))/((-5)/2) and -86/45.
225
Let u(d) = d - 2 + d + 8 - 2. Calculate the lowest common multiple of u(0) and 9.
36
Calculate the least common multiple of 5*2/10*90/10 and 42.
126
Let d = 272120 - 283004507/1040. Let b = d + 2/65. Let j = -1913/4 + 472. Find the common denominator of j and b.
16
Suppose 214 = y + 956. Let k = y + 2987/4. What is the common denominator of k and 111/10?
20
Let s(d) = d**2 + 7*d + 2. Let j be s(-7). Suppose -j*n + 9 = 1. Calculate the least common multiple of 22 and n.
44
Let y be 4/(-18) - (-36810)/(-5258). Let s = y - -2/2629. Calculate the common denominator of s and -36.
9
Let s(k) = -2*k - 15. Let y be s(-13). Let o = y + -7. Suppose 4*p - 47 = -0*p - 3*t, -o*p + 12 = -4*t. Calculate the smallest common multiple of 6 and p.
24
Let a = 156473/252928 - 3/13312. Find the common denominator of a and (-118*(-4)/(-56))/2.
532
Let q(t) = 3*t**2 + 35*t - 21. Let s be q(-12). What is the least common multiple of (150/s)/(-5)*12 and 25?
200
Let o = 806613 + -5660084/7. Let u = 1974 + o. What is the common denominator of ((-178)/72)/((-4)/6) and u?
168
Let t = -1/169671 + -1149947/7691752. Calculate the common denominator of -1/96 and t.
1632
Let q(x) = -x**3 + 23*x**2 - 23*x + 21. Let b be q(22). Let o(f) be the second derivative of -7*f**3/6 - f. What is the smallest common multiple of 8 and o(b)?
56
Let w(i) = -i + 11. Let o = -3 - -5. Suppose 0 = 3*t - s - 23, o*t + t - 3*s = 21. What is the smallest common multiple of w(7) and t?
8
Let a = 100 + -97. Find the common denominator of 40/21 and (-2 - (-155)/60)/(a/7).
252
Suppose 0 = 3*t - 20 - 22. What is the lowest common multiple of 3/(21/(-56)*(-4)/11) and t?
154
Let u = -227 - -231. Calculate the smallest common multiple of 186 and u.
372
Let z = 2488 + -14857/6. Calculate the common denominator of z and -49/90.
90
Calculate the common denominator of (316/54)/((-364)/273) and (-53)/(-4) + 1/4.
18
Suppose -f - 2*r = 3*f, -3*f + 2 = r. Suppose -13 - 3 = -f*w. Let a = -16 + 26. Calculate the smallest common multiple of w and a.
40
Suppose 2*x - 9 = -x. Suppose 0*z + 42 = 3*i - x*z, -5*z + 11 = 4*i. Suppose 13*n - 60 = -7*n. Calculate the least common multiple of n and i.
9
Suppose 20 = -0*x + 5*x, -2*m + 4 = -2*x. Calculate the lowest common multiple of 373 and m.
2238
Let m(r) = r + 12. Let d be m(11). Let u(b) = b**3 + 7*b**2 + 8*b + 3. Let x be u(-5). Let n = d - x. Calculate the smallest common multiple of 1 and n.
10
What is the common denominator of 7/16 and (-630)/(-400) + (-2)/((-20)/6)?
80
Suppose v - 65 = -3*c + 663, -5*c + 4*v = -1185. Let g = c - 1451/6. Calculate the common denominator of 107/12 and g.
12
Let x = 569 - 2878/5. What is the common denominator of -105/578 and x?
2890
Suppose -200*q = -196*q - 324. Suppose 5*h - 97 = -3*c, q = 4*c + h - 4*h. What is the least common multiple of 24