t w = q - -922. Calculate the common denominator of 169/33 + 8/(-12) and w.
33
Let w(f) = 7*f**2 - f + 3. Calculate the least common multiple of w(-2) and 21.
231
Find the common denominator of 9 - 8 - (-62)/(-14) and -22/5.
35
Suppose 70 = 6*b - 14. Calculate the least common multiple of b and 22.
154
Suppose -4*b + 131 = 4*i - 57, 0 = i - 2*b - 62. Calculate the least common multiple of i and 10.
260
Let y = 3819 - 22993/6. Find the common denominator of y and -4/15.
30
Find the common denominator of -97/16 and -4 + 261/30 + 2.
80
Let c = 18 - 41. Let q = 47 + c. Suppose -3*b + q - 3 = 0. What is the least common multiple of 6 and b?
42
Suppose 132 = m + 2*m. Suppose -m - 56 = -5*x. What is the smallest common multiple of x and 18?
180
Suppose -4*o + 22 + 42 = 0. What is the least common multiple of o and 20?
80
Let y(a) = -a**3 - a**2 - a + 6. Let i(v) = 5*v - 10. Calculate the lowest common multiple of y(0) and i(4).
30
Find the common denominator of 59/20 and (-54)/(-44) + -17 + 15.
220
Let s = 31 - 0. Suppose -2*i + 101 = s. Suppose -14 = -2*d + 3*p, d + i = 6*d - 2*p. Calculate the lowest common multiple of d and 6.
42
Suppose -y - 5*y = -12. Suppose -y*q = -0*q - 48. Calculate the smallest common multiple of 14 and q.
168
Let p be 36/4 + (-2)/2. Suppose -c = c + p. What is the common denominator of -119/10 and ((-5)/(-75))/(c/258)?
10
What is the common denominator of ((-59)/18)/(1/3) and 79/22?
66
Suppose 0 = 2*m - 2*c + c + 9, -3*m - 24 = -5*c. Let g = m + 5. What is the least common multiple of 7 and g?
14
Let y be 0 - ((-12 - -2) + 2). Let u = y + -6. What is the common denominator of (-40 + -1)*u/(-22) and 31/9?
99
Suppose 0 = r + 10 - 5. Find the common denominator of -85/22 and (-34)/16 - (-10)/r.
88
Suppose 4*b - x = -64, 3*b - 15 + 40 = -5*x. Find the common denominator of 10/7 and b/(-10) - (-74)/16.
56
Let u = -947/20 + 363/5. What is the common denominator of -7 + 8 + (-150)/(-4) and u?
4
Suppose -3*r + 79 = -11. Calculate the smallest common multiple of r and 51.
510
Let g(q) = 4*q - 9. Suppose -d - 2 = -8. Let i be g(d). What is the common denominator of i/(-12)*-14 - 2 and -13/12?
12
Calculate the common denominator of 28/(-10)*935/612 and -29/20.
180
Let r be (-2 - 0) + (-111624)/(-19424). Let z = r + 2/607. Find the common denominator of z and 1/6.
12
Let c be 38741/(-70) + 5 + -3. Let m = c + 2724/5. Let y = -397/342 + -1/171. Calculate the common denominator of m and y.
42
Let z(t) = -t + 5. Let q be z(-4). Suppose -2*j - 3*a + 193 = 0, 0*j - 4*a = j - 104. Calculate the common denominator of 61/9 and -9 + q + j/(-6).
9
Let y be 7/(-3) - 6/9. Let m be (-2 - y) + 2 - 1. Let c = m + 1. What is the smallest common multiple of c and 9?
9
Let d = 1265 - 4993/4. Let i(h) = 2*h - 8. Let q be i(6). Find the common denominator of d and (10/(-24))/(q/(-6)).
8
Calculate the common denominator of 1 + 8/20 + 87/(-40) and -51/28.
280
Find the common denominator of 41/68 and ((-7)/(-35))/((-12)/111).
340
Let k = 23495/18 - 1308. Find the common denominator of k and -137/6.
18
Suppose 5*l - 3*l = 24. Let a be 1/5 - 3/15. Suppose 10 = 5*f - a. Calculate the smallest common multiple of l and f.
12
Suppose -4*b + 3*u + 183 + 158 = 0, -114 = -b - 5*u. Let k = -47 + b. What is the common denominator of 31 and k?
1
Let z = -14 - -20. Suppose 2*p = -2*p + 12. Let n(r) = -r**2 + 4*r - 2. Calculate the smallest common multiple of n(p) and z.
6
Suppose 0 = -2*u - 5*m - 20, 2*u + 0*u - 2*m = 8. Let l = 10 - u. Calculate the smallest common multiple of l and 3.
30
Let v = 18489/2548 + -4/637. What is the common denominator of -11/61 and v?
244
Let p = -54 + 72. What is the smallest common multiple of p and 30?
90
Let n(i) = -i**3 - i**2 + i + 2. Suppose -7*b = -4*b. Suppose b*v = v - 4, -5*z + 10 = 5*v. What is the lowest common multiple of n(z) and 2?
4
Let w = 161717/8154 - -2/4077. Find the common denominator of w and -55/2.
6
Suppose 0 = -5*s + 3*q + 9, -s - 2*s + 13 = 2*q. Suppose s*m + 6 = -w, -6 = 2*m - 0. Calculate the lowest common multiple of w and 4.
12
Let l = -41898/11 + 3812. Find the common denominator of l and 69/2.
22
What is the common denominator of (-2)/(-7) - (-538)/126 and (19/(-20))/((-4)/(-10))?
72
What is the common denominator of 37/16 and 30/(-20)*62/6?
16
Let u be (4/(-3))/(1/111). Calculate the common denominator of (22/(-18))/((-2)/(-39)) and (5/(-40))/((-6)/u).
12
Suppose 7*z = -2*z + 90. Let r(t) be the first derivative of t**4/4 + 2*t**3 - t**2 - 4*t + 1. What is the smallest common multiple of z and r(-6)?
40
Let o = 13002 - 130129/10. Suppose -3*l = -0*l - 9. Calculate the common denominator of (-2)/(-4)*l*-3 and o.
10
Suppose 2*r = r + 5. Calculate the least common multiple of r and 4.
20
Let q be 4/10 + 46/10. Suppose -4*g - 8 = b, 0 = q*b + 4*g - 2*g + 22. What is the common denominator of -59/7 and (0 - 2) + 3/b?
28
Suppose 5*p - 15 = 0, -2*z + 2565 = 2*p - 9869. Let w = -49627/8 + z. Find the common denominator of (-5070)/(-1188) - (-6)/(-27) and w.
88
Let n = 149859/22 + -6810. Calculate the common denominator of 101/58 and n.
638
Suppose -4*w - 4*r = -0*r + 60, -4*r + 76 = -4*w. What is the common denominator of 32/9 and w?
9
Let d = -4 - -4. Let x(j) = -j**2 - j + 4. What is the lowest common multiple of 228/14 + 6/(-21) and x(d)?
16
Suppose 10 - 2 = 2*b. Let o(x) = -x**3 + 5*x**2 - 2*x + 2. What is the smallest common multiple of 16 and o(b)?
80
Let o = 8 - 5. Suppose 4*w = -o*j + 8, 5*w - 2*j = 3 + 30. Suppose -3*n + 2 = -1, 0 = w*u + 3*n - 13. What is the least common multiple of u and 4?
4
Let i be (-34)/10 + 21/(-35). Calculate the common denominator of -1 + 3 - 183/(-9) and 1 - i/(8/82).
3
Suppose -5*x - 80 = -k - 3*k, 3*k - 60 = 2*x. What is the smallest common multiple of 88 and k?
440
Let v be 18/(-6) - (-55012)/(-3750). Let a = -2/625 - v. Find the common denominator of 52/5 and a.
15
Let a = -857173/154460 + -4/7723. Find the common denominator of a and 13/12.
60
Let q = 259/10 - 113/5. What is the common denominator of 137/6 and q?
30
Let q(s) = 2*s**2 + 5*s + 6. Let z = 202/7 - 1231/56. Find the common denominator of z and q(-5).
8
Let r(o) = o**2 - 8*o + 9. Let x be r(7). Suppose 0 = -0*y - x*y + 4*l + 40, 3*y + 3*l - 15 = 0. What is the lowest common multiple of 12 and y?
60
Suppose 5*x - 2*p - 70 = -p, 4*p + 56 = 4*x. Let y(s) = s**2 - 14*s + 6. Calculate the least common multiple of y(x) and 1.
6
Let h = 54 - 50. What is the least common multiple of 26 and h?
52
Let l(d) = -7*d - 6. Let w(j) = -3 - 5*j + 3*j - 4 + 5. Let c(u) = -4*l(u) + 11*w(u). Calculate the smallest common multiple of c(2) and 18.
126
Suppose 4*s + 26711 = -25709. Let b = s - -131173/10. Find the common denominator of 79/2 and b.
10
Let m = -38509/8 + 4807. Find the common denominator of m and 23/2.
8
Find the common denominator of 3 + 262/(-288) + (-2)/(-9) and 129/140.
560
Let j = -22 + 24. Suppose 22 = 4*k - j*k. What is the least common multiple of 6 and k?
66
Suppose -2 = -3*t + 46. Calculate the least common multiple of t and 22.
176
Let b = 9 + 11. Calculate the least common multiple of b + 2 + (-4)/2 and 2/6*(9 + 15).
40
Let c be (21/(-12))/(2/(-48)). Suppose -2*j - 48 = -0*j. Let u = c + j. What is the smallest common multiple of u and 20?
180
Let b be 12/(5 - 2) + 1. Suppose f - b*f = 4. Let i(a) = -11*a**3 - 2*a**2 - a. What is the smallest common multiple of i(f) and 16?
80
Let z = -13 + 20. Suppose 0 = z*b - 5*b - 20. What is the smallest common multiple of b and 6?
30
Let v be 2 + -214*(-2)/(-4). What is the common denominator of v/(-66) + (1 - -1) and 9/16?
176
Suppose -2*r + 30 = 3*r + 4*u, -5*r + 30 = u. Suppose 4*v - 3*d - 46 = 0, -r = 5*d + 4. Calculate the smallest common multiple of 8 and v.
40
Suppose 4*p - 14 + 2 = 0. Let l(d) = -2*d. What is the smallest common multiple of 4/p*3/2 and l(-5)?
10
Calculate the common denominator of -4 + (4 - 24/(-198)) and -31/30.
330
Suppose -2 = -l + 7. What is the lowest common multiple of 21 and l?
63
Let u be 14 - -3*(0 - 1). Suppose -f + u - 7 = 0. Calculate the smallest common multiple of f and 9.
36
Suppose g = -3*p - 14 + 48, -30 = -p - 5*g. Calculate the smallest common multiple of p and 20.
20
Let v = 3 - -1. Suppose -5*f + 54 = v. What is the c