f (-6)/75*-5 - (-116)/10 and 342?
684
Let i(w) = w**3 + 14*w**2 - 2*w - 18. Let f be i(-14). Let x be (f - 9) + (-33 - 1). Let t = x + 49. What is the lowest common multiple of t and 18?
144
Let n = -1299/11 + 38562/319. Let s = n - 4061/696. Find the common denominator of s and 65/8.
24
Suppose 5*b - 1 = -11, -5*l - 4*b + 17 = 0. Suppose 1 = 4*u + l*i - 11, -i - 44 = -5*u. What is the least common multiple of u and 11?
88
Let d be -4 - (-8)/(-12)*2823. Let u = d - -33893/18. Calculate the common denominator of u and -61/14.
126
What is the common denominator of -7 + ((-52)/1080*-217 - 3) and -107/330?
2970
What is the smallest common multiple of 45 and (-1290)/(-65) + (-26)/(-169)?
180
Let x = -13 - -20. What is the lowest common multiple of (4950/(-80))/(-33) + (-1)/(-8) and x?
14
Let r be (0 + 2)/(-6)*87. Let l = r + 81. What is the common denominator of 4/(-10) - l/(-40) and 71/2?
10
Suppose 5*h = -3*k + 14, -4*k - 3*h + 0*h + 26 = 0. Suppose 80 = 4*s + p, -5*s + 81 = 5*p - 19. Calculate the lowest common multiple of s and k.
40
Suppose -2*s + a = -33, 96*s + a = 100*s - 69. What is the lowest common multiple of 72 and s?
72
Suppose -3*t - 5 - 21 = -5*y, 5*y + t - 38 = 0. Let j = 3209/660060 - -7/3420. Let c = j - -9646/579. Find the common denominator of y and c.
3
Let z = -3733 + 29901/8. Let m = 47271/4 + -11832. Calculate the common denominator of z and m.
8
Suppose 0 = 6*f - 9*f + 3. Let j(r) = 3*r**3. Let z be j(f). What is the lowest common multiple of z/18*15*8 and 6?
60
Let a be (108/(-63))/(2/49). What is the common denominator of -3/5 and ((-20)/a)/1*-15?
35
Suppose 40 + 81 = -h. Find the common denominator of (2 + h/16)/(1/(-2)) and 125/36.
72
Let y be 2/(-4) + (-189)/2 + 3. Let k = -83 - y. What is the lowest common multiple of k and 30?
90
Find the common denominator of 73/72 and (-65)/26*28/6405.
4392
Suppose 2*m + 8 = -3*r, 5*m + 0*m - 5 = 5*r. Calculate the common denominator of 65/28 and 3*((-113)/30 - r).
140
Let x(r) = r**3 - 7*r**2 + 14*r + 4. What is the smallest common multiple of 48 and x(4)?
48
Let b(f) be the second derivative of f**4/12 + 4*f**3/3 + 2*f**2 + 5*f. Let r be b(-7). What is the lowest common multiple of 6 and -3 - (-14*1 - r)?
24
Let j be ((-48)/(-9))/((-1)/(-15)). Calculate the least common multiple of 12 and 10 - (j/44 - 4/(-22)).
24
Let a = -437 + 591. What is the smallest common multiple of 70 and a?
770
Suppose p + 0 = 18. Let m = -165 - -169. Calculate the smallest common multiple of m and p.
36
Let o = -7833/5 + 1574. Let n be 2/(-16)*(-8)/10. Let f = o + n. Calculate the common denominator of -107/18 and f.
18
Let k = -2 - -6. Suppose 0 = -x + 5*x - 40. Let t = -8 + x. What is the least common multiple of k and t?
4
Suppose 0 = 2*g - 3*b - 1, 4*g + 3*b - 29 = -0*g. Let j(c) = c**2 + 16*c + 17. Let k be j(-15). What is the lowest common multiple of 6 + (k - 0/g) and 2?
8
Let w(j) = j**3 - 13*j**2 + 14*j - 18. What is the smallest common multiple of w(12) and 22?
66
Let f = -5525 + 116093/21. What is the common denominator of f and (-1982)/420 + 4/14?
210
Suppose 2*f - 3*b - 19 = 0, -b - 13 = -f + 4*b. Let k = 11 - f. Calculate the least common multiple of 2 and k.
6
Let w(p) = 5*p**2 + 1. Let k = -154 - -140. Calculate the least common multiple of w(1) and (-4)/(-14) - 108/k.
24
Suppose 0*w - w = 5*g + 24, 5*g = -25. Let m be (15/6 + w)*2. Suppose -5*x + 7 = -t, -5*t = -3*x - 2 - m. Calculate the least common multiple of 20 and x.
20
What is the common denominator of 82/285 and ((-34)/18)/(-7 + (-103)/(-15))?
570
Let l = 26 - 7. Let v = l + -12. Suppose -33 = -11*j - 0. Calculate the smallest common multiple of j and v.
21
Let s = -4207/358 + 1/716. What is the common denominator of s and (-3605)/1610 + 4/1?
92
Calculate the lowest common multiple of 21/14*(-2)/(-1) and 7.
21
Let w(v) = v + 2. Let z be w(7). Let f = z + -12. What is the common denominator of -57/14 and f + 230*4/144?
126
Let j = 56 + 11. What is the smallest common multiple of 11 and j?
737
Calculate the common denominator of 87/50 and 1498/40*7/49.
100
Let r(h) = -3*h + 15. Let z be r(5). Suppose 3*y = 2*s - 4 - z, -2*s + 28 = 3*y. What is the lowest common multiple of s and 9?
72
Suppose -39*b + 29700 = 8718. What is the smallest common multiple of b and 18?
4842
Let c = 1/1228 - -1829/15964. Calculate the common denominator of 2/(-3) - (-226)/(-36) and c.
234
Let o = -1114 - -438. Let f = 7445/11 + o. What is the common denominator of f and -74/3?
33
Let f(r) = 5*r**2 + r + 10. Let w be f(8). Suppose 0 = 5*g + p + 353, 0*g + 5*g - 4*p = -w. Let c = g - -563/8. What is the common denominator of 29/16 and c?
16
Let s = 14/2447 - 223125/78304. What is the common denominator of s and -61/12?
96
Let g = -1443 + 1633. Calculate the smallest common multiple of g and 190.
190
Suppose 36 = -i + 3*i + 4*y, i + y - 17 = 0. Suppose -2*a - 4 = -3*n, 4*n - 32 = -2*a - 2*a. What is the least common multiple of i and a?
16
Let m = -3395/6 - -559. Find the common denominator of 97/158 and m.
474
Let x(j) = -j**2 - 23*j + 684. Calculate the lowest common multiple of 548 and x(-40).
548
Let m = 330 + -318. What is the lowest common multiple of 30 and m?
60
Let w = -24 + 27. Calculate the lowest common multiple of 9 + -6 + 31 - 4 and w.
30
Let w be 3 - 2/(6/9). Suppose -4*k - 7*x = -2*x - 46, w = -4*k - x + 38. Let s = k - 4. Calculate the lowest common multiple of 3 and s.
15
Let s = -25647341/45 + 2814429/5. Let g = s + 7062. Let t = -24015/7 - -3439. What is the common denominator of t and g?
63
Let v = 10 - 2. Suppose 6*m = v*m - 12. Calculate the common denominator of -91/2 and 57/120*m/3.
20
Let f(j) = -2*j + 36. Let u(k) = -k**3 + 7*k**2 - 7*k + 9. What is the lowest common multiple of f(15) and u(6)?
6
Suppose 80 = 10*o - 14*o. What is the common denominator of 309/o + (-88)/110 and 59/5?
20
Suppose -101 + 37 = -4*y. What is the smallest common multiple of y and 20?
80
Let t = -23 - 9. What is the common denominator of 51/46 and (-136)/12*(-18)/t?
184
Let a = -3 - 9. What is the common denominator of 133/6 and 12/(-9)*a/9?
18
Let n be 614/765 - 16/20. Let u = n + 2797/3060. Calculate the common denominator of u and ((-261)/(-48))/(36/(-16)).
12
Let z be (-1 + 5)*4/8. Suppose -z = -4*u + 6. What is the smallest common multiple of (-342)/(-9)*u/4 and 8?
152
Let b be (2 - 1)*-1 + (-7102)/7. Let w = b - -1013. What is the common denominator of w and 109/6?
42
Let n be -3*(7/3 - 3). Let i = 399 - 379. What is the least common multiple of i and 25/n - 3/6?
60
Calculate the common denominator of -81/8 and 285/(-288)*-2 - 5/(-15).
16
Let u(b) = -b**3 + 7*b**2 + 8*b. Let o be u(8). Suppose 3*s - 9 = -o*s. What is the smallest common multiple of 0 + (-3 - -8) + s and 20?
40
Let i be (4/(-14))/((-9)/63). Suppose -i*s = 10 - 20. Suppose -3*m + 4*f = -s*m + 18, -2*m + 4 = -3*f. Calculate the least common multiple of m and 10.
10
Let d be 14/14*(-5 - 1). Calculate the common denominator of d/16*824/36 and 79/54.
108
Suppose u - 5*u + 1816 = 0. Suppose 4*r + 1955 = -3*a, -3*a + u = r + 2412. Let d = 9137/14 + a. What is the common denominator of d and 113/18?
126
Let l = -1250041/252810 + 2/14045. What is the common denominator of 23/37 and l?
666
Let j be (3 + -2 + -2)*(-1 + -73). Let p = -56 + j. What is the lowest common multiple of p and 3?
18
Let z(m) = m**3 + 7*m**2 - 6. Let d be z(-7). Let b = 637 - 629. Let n = b + d. What is the least common multiple of n and 8?
8
Let y = 4402289/20 + -220038. Let o = y + -394/5. Find the common denominator of o and ((-2)/6)/(12/477).
20
Calculate the common denominator of (((-396)/40)/11)/((-9)/(-111)) and -83/8.
40
Calculate the common denominator of (7 - (-1143)/81)/(4/(-3)) and ((-21)/(-10))/(24/(-14)).
120
Let u = 9214/5 + -1836. Suppose 2*f - 224 = 180. Suppose f = 5*d - d - 2*o, -o + 91 = 2*d. Calculate the common denominator of d and u.
5
Let w = -56 - -153/4. Find the common denominator of w and (-1)/(-10)*156/(-8).
20
Let o = 1988 + -5899/3. What is the common denominator of 103/30 and o?
30
Suppose -2*j - 2*a = -5*j + 20, -5*j + 34 = -4*a. Let h(v) = v**2 - 1 + 6 - 5 - 2 + 2*v. What is the least common multiple of j and h(-4)?
6
Let c = -13 + 8. Let n be 8 + c - (-2 - -4). Calculate the commo