2
Find the common denominator of (-7)/98*2 - 251/7 and -1/20.
20
Suppose 5*x - 26 = -6. Let k(i) = -2*i**2 - 22*i + 6. Find the common denominator of (-1)/(-2)*356/x and k(-10).
2
Let j(d) = d + 7. Suppose 0 = 4*n + 7 - 139. Let a = 37 - n. What is the least common multiple of a and j(0)?
28
Calculate the least common multiple of 22 and (-3 + 651/2)*4/3.
4730
Let c = 1622239/54 + -30039. Find the common denominator of c and 73/30.
270
Let k be (4/(-2))/((-1)/(-3)). Let c be (-348)/(-5) - k/15. Suppose 5*f - 10 = 0, 5*a + 7*f = 2*f + c. Calculate the smallest common multiple of 14 and a.
84
Let r(d) = 3*d**2 - 2*d + 3. Let j be r(2). Suppose -4*t = -j - 121. Calculate the smallest common multiple of 24 and t.
264
Let m(q) = -q**3 - 2*q**2 - 3*q - 3. Let z be m(-2). Let i = z + 4. Suppose -2*y = -i*y + 30. What is the lowest common multiple of y and 10?
30
What is the common denominator of 363/(-682)*(-1)/((-5)/(-2)) and 17/45?
1395
Let k be 1/(-2) + (-30086)/(-36). Let n = k - 834. Find the common denominator of n and 49/8.
72
Let n = 2037 + -12329/6. Find the common denominator of n and 13/10 - (147/(-35) + 4).
6
Let m(w) = -w - 1. Let l be m(1). Let h be (1 - (-1 - 12)) + l. Calculate the least common multiple of (-4)/h*(0 + -12) and 10.
20
Suppose -4*t - 4*u = 8, 4*t - 2 = -t - 2*u. What is the lowest common multiple of t and 238?
238
Let y(g) = -g**2 + g + 2. Suppose 0 = -3*j + 2*j. What is the lowest common multiple of 112 and y(j)?
112
Suppose -3*h = 2*h - 110. Calculate the common denominator of 1/(-25)*(-1485)/h and -40/3.
30
Find the common denominator of -2 + 35/14 - (-314)/(-848) and 37/10.
2120
Let i = 233 + -217. Let h(t) be the second derivative of -t**5/20 + 17*t**4/12 - 5*t**3/2 + 2*t**2 + 2*t. What is the lowest common multiple of 2 and h(i)?
20
Suppose 2*f = -35*d + 36*d + 28, -4*f + 5*d = -44. What is the smallest common multiple of 64 and f?
64
Suppose 4*f + 0*d - 5*d = 43, 6 = -2*d. Let p be (1 - 5/2)*-2. Suppose -3*s - p = -30. Calculate the smallest common multiple of f and s.
63
Let v(k) = -k**3 - 6*k**2 + 7*k + 7. Let c be v(-7). Let j be 912638/100016 + (c - 4). Let y = j + 1/12502. Calculate the common denominator of y and 151/6.
24
Let v = -16453/9 - -1826. Let x = 375955 + -11279969/30. Let l = x + 214/5. Calculate the common denominator of v and l.
18
Suppose -q - 9 + 5 = 0. Find the common denominator of -11/27 and 3*-1 + (268/60 - q).
135
Suppose 5*d - 25 + 5 = 0. Suppose m - 9 = 4*l, 5 = 3*m + 3*l + 8. What is the smallest common multiple of m and d?
4
Suppose 9*l = 5*l + 320. Suppose 0 = -4*s + s + 2352. Find the common denominator of -23/9 and (-5)/(-2)*s/l.
18
Let n = 95 + -55. Suppose 3*w + 5*c - 4 = 0, -4*w = c - 10 - 18. Calculate the least common multiple of n and w.
40
Suppose 0*v = -2*v + 10. Let n = -4 + v. Suppose -5*h = p - 0 - 4, 2*h + p - n = 0. Calculate the lowest common multiple of h and 1.
1
Let w be ((8/(-4))/1060)/(11/(-73498)). Let f = -4/583 + w. Calculate the common denominator of 74/21 and f.
105
Let x = 12 - 5. Let n = x + -7. Let i = 2 - n. What is the lowest common multiple of i and 5?
10
What is the least common multiple of 20 and 1135/75 - (-12)/(-90)?
60
Let w(c) = c**3 - 4*c**2 + 6. Let h(f) = 1 + 11 - f + f**3 - 8. Let i be h(0). What is the lowest common multiple of 12 and w(i)?
12
Suppose -4*x - c + 66 + 7 = 0, 3*x = -5*c + 59. Suppose 2*a - x = a. Calculate the lowest common multiple of 14 and a.
126
Let w be ((-3)/9)/((-1)/(-9) - 0). Calculate the smallest common multiple of 12 and -48*1/(w - -1).
24
Suppose 0 = 30*r - 9*r - 462. What is the least common multiple of r and 22?
22
Suppose -13*v + 238 = 4*v. What is the lowest common multiple of 4 and v?
28
Let b = -1850 - -37017/20. Let t = -195215/18 - -10852. Calculate the common denominator of b and t.
180
Let t = -21 - -19. What is the common denominator of -31/3 and t - ((-54)/(-44) - (-1)/2)?
33
Let m = -6 + 32. Let h = m - 23. What is the least common multiple of ((-2)/h)/(4/(-18)) and 4?
12
Let r = 6128431/1322670 + -2/44089. Find the common denominator of -85/54 and r.
270
Let h = 7 - 1. Suppose -4*y - 44 = -h*y. Calculate the smallest common multiple of 8 and y.
88
Suppose -14*j = 26348 - 182. Let o = j - -44905/24. What is the common denominator of o and -20/33?
264
Suppose -1 = 3*k - 16. Let p = -38 + 20. Calculate the lowest common multiple of (2 - 1)/((-6)/p) and k.
15
Suppose -8 = -3*t - t. Let h = 6 + t. What is the lowest common multiple of (-720)/96*(-4)/6 and h?
40
Let s = 148589/76 - 1955. Calculate the common denominator of s and 27/11.
836
Let u = 198 + -192. What is the least common multiple of u and 36?
36
Let d(a) = a**3 - 18*a**2 - 17*a - 13. Let g be d(19). What is the smallest common multiple of 18 and (140/g)/((-2)/(-5))?
126
Let g be (-7 - -4) + 4 - -2. Calculate the common denominator of -67/3 and 1/10*93 - g.
30
Let h = -10 - -3. Calculate the common denominator of 92/(-20) + (-2)/4 and 1 - ((-546)/16)/h.
40
Let a = 397571/32 - 12426. Let c = -6941 - -55567/8. Find the common denominator of a and c.
32
Suppose -5*q + 2*q + 24 = 0. Let b = q + 4. Suppose 6*a - 9*a + b = 0. Calculate the lowest common multiple of a and 4.
4
Let m = 10 + -6. What is the lowest common multiple of m and 9*-1*(-9)/81?
4
Calculate the smallest common multiple of (52/(-10) + 2)/(2/(-5)) and 270.
1080
Let t(k) = -3*k**2 + 25*k - 1. Suppose 25*m + 16 = 27*m. Let v(i) = i**2 + 3*i + 3. What is the smallest common multiple of v(-4) and t(m)?
7
What is the smallest common multiple of ((-134)/4)/((-26)/52) and 11?
737
Let p = 232906/33 + -7057. What is the common denominator of ((-1)/120)/((-2)/635) and p?
528
Suppose -2 + 14 = 6*r. Suppose 7*o - r*o = 4*a + 9, 4*o = -2*a + 2. Calculate the smallest common multiple of o and 2.
2
Let r(h) = -h**2 + 5*h + 6. What is the smallest common multiple of 814 and r(3)?
4884
Suppose 4*w + 17 = -23. Calculate the common denominator of (3/w)/((-56)/455) and -63/4.
16
Suppose 5*v - 65 = -3*d, -2*d - v - 71 = -7*d. Suppose -z - 2*z = 4*o - 23, 3*o = -3*z + d. What is the smallest common multiple of o and 3?
24
Let y(k) = 2*k - 5. Suppose 0 = z - 5*v + 6, -8 = 4*v - 20. Calculate the smallest common multiple of y(z) and 10.
130
Let i be -1*(2 + 0 - -2). What is the lowest common multiple of i/5*(-990)/44 and 36?
36
Suppose t = 2*k + 5*t - 28, -4*t + 10 = -k. Calculate the smallest common multiple of k and (4230/188)/((-3)/(-2)).
30
Suppose 0 = 2*g - 3*p + 6835, -3*g - 5*p - 8743 = 1462. Let f = g - -20389/6. What is the common denominator of f and 17/11?
66
Let x = 2325/34 - 67208/85. Let n = -723 - x. What is the common denominator of 59/3 and n?
30
Let z be (-101*1)/(14/(18 + -4)). Let t = 16541 - 66667/4. Let d = t - z. Find the common denominator of -81/16 and d.
16
Find the common denominator of 82/15 and 17990/(-2632) - (-21)/(8 + -5).
2820
Let k = 2121 - 16937/8. Calculate the common denominator of -93/10 and k.
40
Calculate the common denominator of (2 + (-87)/18)/((-140)/300) and -83/154.
154
Let w = 1722 - 1682. Calculate the least common multiple of w and 160.
160
Let h = -3862571 - -1105894. Let z = h + 49594615/18. Let b = -1420 - z. Find the common denominator of b and -11/8.
72
Suppose 27 - 3 = -6*k. Find the common denominator of -3 - (k + 0) - 111/6 and 37/11.
22
Suppose -4 - 1 = -g. Suppose -2*x + 3*h + 10 = 0, -g*x + 15 = -h + 3. Let a = 22 + -2. Calculate the smallest common multiple of a and x.
20
Suppose -5*z - 4*m - 37845 = -0*m, -2*z + 2*m = 15156. Let c = 75643/10 + z. Find the common denominator of 3/(-24) - 5172/480 and c.
10
Let d be 3/(-63)*-3 + (-210)/98. Find the common denominator of (1/6)/(d + (-1664)/(-828)) and 37/8.
8
Let f be (-1556)/(-14) - (-8 - -13). Let y = f - 7157/70. Let o = -70271/14 - -5025. Calculate the common denominator of o and y.
70
Let s = 339016 - 26104682/77. Let g = -29016/65681 - -2/9383. Let c = s + g. Calculate the common denominator of c and 52/11.
77
Suppose 5*b = 5*j - 60, 29 = 2*j - 4*b + b. Suppose 2*x - 13 = j. What is the smallest common multiple of x and 22?
110
Suppose -32*p - 88 = -1240. Calculate the least common multiple of 12 and p.
36
Suppose 4*m - 250 = -m. Find the common denominator of (-5)/(m/92) - -1 and 31/8.
4