 0 = -0*x + x - 6. Suppose 46 = 5*d - 4*z, 2*d = -0*d - 5*z - 8. What is the lowest common multiple of d and x?
6
Calculate the common denominator of 49/22 and (-150)/(-32) + (-30)/40.
176
Let l = -843 - -2558/3. What is the common denominator of l and (-8)/(0 + (-12)/(-14))?
3
Suppose 5 = 5*q + 10. Suppose 2*k = 6*k + 16, -4*i + 12 = k. Calculate the common denominator of -101/6 and q/i - 111/30.
60
Let p = -2239/684 - -4/171. Calculate the common denominator of p and (-207)/(-60) - (2 + -1).
20
Calculate the common denominator of 54/11 and 1212/(-90)*(-10)/(-8).
66
Suppose 0*z + 4 = -4*s - 4*z, -z = 0. Let o be 0/4 + s + 12. What is the common denominator of -31/3 and (-35)/(-25)*o/(-2)?
30
Calculate the common denominator of 67/24 and 186/(-2)*7/98.
168
Let s = -5854472515/1126699932 - 3/43670540. Let q = -949/32 - -124469/4128. Let x = q + s. What is the common denominator of x and 17/10?
10
Let r = -911/620 + 168/31. Find the common denominator of 59/2 and r.
20
Suppose -5*f = -3*w - 7, -3*f - 2*w - 1 = -9. Suppose -5*c - 20 + 70 = 5*s, -3*s - 4*c = -31. What is the least common multiple of f and s?
18
What is the common denominator of -37/3 and (375/(-70))/(4/(-14))?
12
Suppose 0 = -3*m + 3*i + 75, -2*i + 104 = 7*m - 2*m. What is the least common multiple of m and 16?
176
Let t = -4 + 10. Let w = -5 + t. Calculate the lowest common multiple of w and 6.
6
Let t = 8 + -2. Calculate the common denominator of 2 - (t/(-20) - -3) and -13/8.
40
Let z = 10 + -18. What is the common denominator of (-1154)/180 - 3/15 and (-150)/(-16) + (-4)/z?
72
Let q = 2981 + -29871/10. Find the common denominator of 15/14 and q.
70
Let w = -6 + 11. Let i(o) be the first derivative of o**4/4 - 2*o**3/3 + 3*o**2/2 - 2. Calculate the smallest common multiple of i(2) and w.
30
Let c = 27116372 - 487907251/18. Suppose 2*j = 4*j + 20834. Let i = c + j. Find the common denominator of 51/20 and i.
180
Let q be 108/14 - (-2)/7. Suppose q = 3*x + 2. Calculate the least common multiple of x and 12.
12
Let m = 233 - 130. What is the common denominator of ((-3)/(-12))/((-4)/(-10)) and ((-4)/(-2))/(36/m)?
72
Let h(i) = i**3 + 8*i**2 - 9*i + 6. What is the smallest common multiple of h(-9) and 14?
42
Suppose -4*k = -9*k + 25. Let x = 11 - k. Let w = 25 + -17. What is the smallest common multiple of w and x?
24
Let h = 11842520/9 - 22151515/18. Let u = h + -84834. Let k = -358 + u. Calculate the common denominator of k and -95/4.
12
What is the common denominator of -65/36 and 1 + -4 + 1017/126?
252
Suppose 2*v = 2*z + 22, 0*v - 2*v + 52 = 4*z. Suppose i = -32 + 42. Calculate the smallest common multiple of v and i.
80
Suppose 3*g - 3*k = -0*g + 9, -3*g - 5*k = -1. Suppose 5*n + t - 64 = 0, -2*t = g*n + t - 36. What is the smallest common multiple of 6 and n?
12
Let z = -23145 - -694213/30. Find the common denominator of 139/18 and z.
90
Let o be -2 + 0 + (-630)/(-33). Let v = 16 - o. What is the common denominator of 47/8 and v?
88
Calculate the least common multiple of 1 and (3 + -6)*28/(-21).
4
What is the common denominator of 131/18 and 266/40 - (-3)/(-5)?
180
Suppose 2*g + 4*t = 56, 2*g - 26 = 4*t - 10. Let n = -1 + 3. Suppose 56 = 6*c - n*c. What is the smallest common multiple of c and g?
126
Let v = 129 - 117. What is the smallest common multiple of 20 and v?
60
Let k = 9 + -6. Suppose q = -k*q - 2*v + 62, -2*q - 2*v + 36 = 0. Calculate the common denominator of 5/6 and -3 - -14*q/32.
48
Let d(h) = 6*h - 109. Calculate the common denominator of 3/(-12)*(-424)/(-6) and d(14).
3
Let f(g) = -g**2 + 5*g - 4. Calculate the smallest common multiple of 22 and f(3).
22
Let n be -1*(24 + 2 - 0). Let y = 36 + n. Suppose -4*h = -11 - 29. What is the least common multiple of y and h?
10
Let i = -3489/520 + 168/65. Let r = -43609/5700 - -32/475. Calculate the common denominator of r and i.
24
Calculate the common denominator of -27/2 and 2 - ((-75)/(-24) - 3).
8
What is the common denominator of (2/4)/(4/(-292)) - 2 and -54/19?
38
Let n be (-3)/2*(1 - 3). Suppose -y + n*y = 20. What is the least common multiple of ((-4)/(-5))/(3/30) and y?
40
Suppose -74 = -u + q, 0*u - 5*q = 5*u - 380. Suppose 2*x - u = -x. Suppose 45 = 3*t + 3*f, 0*f - f - x = -3*t. What is the least common multiple of t and 10?
10
Suppose -n + 22 = 2*n + 4*v, 4*n = 2*v. Let m be 3*(1 + -2 + 0). Let i = 7 - m. Calculate the smallest common multiple of i and n.
10
Let g be (-3)/((-3)/(-2) - 3). Let t = -13 - -18. Suppose t*a - d + 0 = g, -10 = -4*a - 2*d. Calculate the lowest common multiple of 1 and a.
1
Suppose p - 18 = -2*a - 7, -p = 5*a - 17. What is the lowest common multiple of p and 11?
77
Let w(u) = u**2 - 2*u - 5. Let k be w(5). Let z = 48691/17532 - -1/1948. What is the common denominator of 54/35 + (-4)/k and z?
63
Let k = -8953/12 + 750. Find the common denominator of 4/3 and k.
12
Let n(r) = -r**2 - 6*r + 90. What is the common denominator of (6/(-56))/(-1)*4 and n(-12)?
7
Suppose -4*p + 4*t + 28 = 2*t, 4*p + t - 22 = 0. Suppose w - p*w = -185. Calculate the smallest common multiple of 6/(-12) - w/(-2) and 2.
18
Calculate the common denominator of 71/9 and 14/315 - (-6)/(-10).
9
Let f(x) = 4*x**2 + 4 - 3*x - 5*x**2 + 4*x. Let y(a) = 2*a - 3. What is the least common multiple of f(0) and y(4)?
20
Let f(h) = -h**3 - 6*h**2 + h + 7. Let u be f(-6). Suppose 2*l - 17 = 3. Calculate the lowest common multiple of l and (2 - 3)*-18*u.
90
Let j(r) = -r**3 + 6*r**2 - r + 7. Let x be j(6). Let d(w) = 0 + 0 + 8*w - 2*w. What is the smallest common multiple of d(x) and 9?
18
Let r be 25/21 + 12/(-36). Let h = -31/28 + r. What is the common denominator of h and 65/6?
12
Let o = -163/35 - 15/7. What is the common denominator of o and -7/22?
110
Let w = -27339/22 + 1243. Let l be ((-2)/30)/((-9177)/(-35)). Let a = -310693/55062 + l. What is the common denominator of a and w?
154
Let k(y) = 46*y - 2. What is the lowest common multiple of k(2) and 10?
90
Suppose 4*k - k = -15. Find the common denominator of (-7)/(-2)*k/(-4) and (-2)/32*1/(4/24).
8
Suppose 2*n - 2*o - 54 = 0, -n - 3*o + 7 = -0*n. What is the lowest common multiple of n and 44?
44
Let b be (4 - 1)*2/6. Suppose 3 = -o, 3*z - 16 + b = 4*o. What is the smallest common multiple of z and 4?
4
Suppose 3*p - 6*p - 12 = 0. Calculate the smallest common multiple of p/2*10/(-2) and 20.
20
Let b(t) = t**2 + 5*t + 6. Let z be b(-5). Suppose z*x - 4*f = 3*x + 62, -5*f + 27 = x. Calculate the lowest common multiple of 10 and x.
110
Let t(c) = c**3 + 7*c**2 - 8*c + 3. Let z be t(-8). Suppose -2*s = z - 1. What is the common denominator of -37/2 and (-18)/(s/(2/5))?
10
Let b(v) = v**3 + 6*v**2 + 3*v + 1. Suppose -2*t - 15 = -h + t, -4*t + 16 = 0. Let j = h + -16. What is the lowest common multiple of b(-5) and j?
11
Suppose -83*g + 74*g = -72. What is the least common multiple of g and 3?
24
Let l = -61 + 121. What is the common denominator of 91/22 and 16/(-40) + 34/l?
66
What is the common denominator of 76/8 + 5/15 and 113/18?
18
Suppose 93 = 2*q + 77. What is the smallest common multiple of 7 and q?
56
Suppose -38 = -5*h + u, -h + 3*u = -6*h + 26. What is the least common multiple of h and 8?
56
Let q(t) = -t**2 + t + 28. Let v be q(0). Suppose z - v = -3*z. Suppose -p + 15 - 4 = 0. Calculate the least common multiple of p and z.
77
Let y(k) = k**3 + 12*k**2 - 2*k - 15. Suppose t = 3*t + 24. Calculate the smallest common multiple of y(t) and 1.
9
Let d = 9629/10 - 965. Find the common denominator of 105/22 and d.
110
Let b be -1 - (1 - -1)/(-2). Suppose b = -c - c - 18. Let y = -2 - c. Calculate the smallest common multiple of y and 6.
42
Let h(p) = p**3 - 7*p**2 + 5*p + 8. Let m be h(6). What is the least common multiple of 6 and 0 + 8 + m + 0?
30
Let o be (-5)/5*(1 - 2). What is the common denominator of 117/(-81) + o + 0 and 46/11?
99
Let z(d) = -68*d + 6 - 3 - 1. Let j be z(-3). Calculate the common denominator of (-5)/(-20) + j/(-16) and 17/10.
40
Let f be (-4)/(-14) - (-66)/14. Suppose -5*m + 19 = -4*o, f*m - 2*o + 6*o - 11 = 0. What is the smallest common multiple of 1/(-2)*-11*2 and m?
33
Let j be (-2)/(-2)*(6 + -1). Let a = -32 - -31. Let x = a + j. Calculate the lowest common multiple of x and 4.
4
Suppose 9*j + 7 = 304. Calculate the lowest common m