?
16
Suppose 4 + 6 = 5*z. Suppose -10 = -w + z. Calculate the lowest common multiple of 16 and w.
48
Let f be (504/45)/((-1)/5). What is the least common multiple of f/(-12)*(-3)/(-2) and 17/3 + 6/(-9)?
35
Suppose 3 = -2*k + k. Calculate the common denominator of 37/10 - (0 - k) and -49/8.
40
Let y(x) = -x**2 + 6*x + 4. Let b be y(7). Let u(a) = 2*a**2 - a - 3. What is the smallest common multiple of 10 and u(b)?
90
Calculate the common denominator of -18 and ((1869/(-36))/7)/(65/(-10)).
78
Calculate the smallest common multiple of 8 and (24/(-18))/(2/(-6)).
8
Let n = 83855/18 - 4656. Calculate the common denominator of -119/18 and n.
18
Let s = 1 + 0. Suppose 3*h - 26 = s. What is the smallest common multiple of 10 and h?
90
Let f = 1836 - 36747/20. Find the common denominator of 14 and f.
20
Suppose 0*v + 2*v = -6074. Let r = -12245/4 - v. What is the common denominator of r and ((-24)/48)/(-1 + 101/110)?
36
Suppose 25 = 2*r + 3*r + 5*o, o = -3*r + 17. Calculate the lowest common multiple of r and 16 + (-1 - -7)/3.
18
Let n = 331 - 215. Let o = -1503 - -24083/16. What is the common denominator of (-9)/8*n/30 and o?
80
Let y = -1639/2 - -848. What is the common denominator of y and -3/16?
16
Let m = -1284/11 + 6461/66. Let z = -19653/1970 + 15/197. Find the common denominator of z and m.
30
Let a(m) = m - 5. Calculate the least common multiple of 10 and a(10).
10
Let y(v) = -14*v**3 + v**2. Let o be y(-1). Let q = 17 - o. What is the lowest common multiple of 10 and q?
10
Let u = 3/209 + -1481/1254. Find the common denominator of 51/16 and u.
48
Let u(y) be the first derivative of y**2/2 + 10*y + 1. Let l be u(-8). Suppose -18 = l*k - 5*k. Calculate the lowest common multiple of 8 and k.
24
Let w = 0 - 1. What is the smallest common multiple of 3*w/2*-2 and 9?
9
What is the common denominator of -38/33 and (2 - 495/140)/((-3)/(-4))?
231
Suppose 3*m - 32 = -m. Let h(b) = 4*b**3 - b**2 - 5*b + 4. Let t be h(3). Suppose 0 = -4*f + m*f - t. What is the least common multiple of 4 and f?
44
Calculate the common denominator of 9/(-90)*1*83 and 71/9.
90
Let s be ((-5)/(-28))/((-54)/72). Let c = -17/105 + s. What is the common denominator of c and -27/11?
55
Suppose c = -0*c - 2, 0 = -2*t + 5*c. Calculate the common denominator of 29 and (t/(-10))/((-4)/166).
4
Let b = 42/11 - -419/66. What is the common denominator of b and -27/7?
42
Suppose -2*z - 112 = -6*z. Let w = z - 18. What is the lowest common multiple of (-39)/(-2) + (-1)/(-2) and w?
20
Let n = 3/2456 - -20855/17192. Let v = 1128 - 9005/8. What is the common denominator of v and n?
56
Let q(m) = 2*m**3 - 7*m**2 - 5*m - 2. Let r be q(-4). What is the common denominator of (r/70)/(4/10) and 105/(-200)*(-5)/(-6)?
112
Let u = -863/3 - -19133/66. Find the common denominator of u and -81/8.
88
Suppose 4*d + 28 = 2*p, 2*d + 0 - 2 = 0. Suppose -m + 225 = 5*j, -3*j + 6*j - 675 = -3*m. What is the smallest common multiple of p and m/10 + (-1)/2?
176
Let s = 68/55 - -93/770. What is the common denominator of 95/22 and s?
154
Suppose 3*i - 62 = 2*w, 22 = 2*i - w - 18. What is the least common multiple of i and 2?
18
Let m(q) = q**3 - 9*q**2 + 10*q - 2. Suppose p - n = 24, 2*p - 79 + 19 = 5*n. Let u = -12 + p. What is the smallest common multiple of m(u) and 10?
70
Suppose 2*w + 21 = 5*w + 3*s, 5*s - 15 = 0. Suppose -k + 0*k = -w. What is the lowest common multiple of k and 22?
44
Let b = 48911/60 + -4058/5. Calculate the common denominator of 19/18 and b.
36
Let q be (-186)/9 - (-4)/6. Calculate the least common multiple of ((-30)/q)/((-6)/(-16)) and 22.
44
Suppose -2*g + 1 = -x, 10 = g + 4*x - 4. Suppose 100 = 3*n + 2*n. What is the smallest common multiple of g and n?
20
Let z = -3593/1442 - 45/103. Calculate the common denominator of z and -21/100.
700
Let g = 2107 + -33745/16. Let u = 231401/52 + -17787/4. What is the common denominator of g and u?
208
Suppose -5*z + 0*z + 178 = 3*p, -2*p - 4*z = -118. Let f = p - 43. Suppose 3*b - 4*b + 22 = 0. Calculate the least common multiple of b and f.
198
Let m = 31 - 23. Calculate the lowest common multiple of 5 and m.
40
Let r be (-4 + 4756/1192)*2. Let u = r - 12951/596. What is the common denominator of u and -3/8?
8
Suppose -c - 4*k = -0 + 2, k - 28 = -5*c. What is the lowest common multiple of 10 and c?
30
Let d(y) = 7*y + 13. Let u(c) = 3*c + 6. Let l(j) = -2*d(j) + 5*u(j). Let s be l(-7). Calculate the lowest common multiple of 3 and s*22/(-12)*2.
33
Let u(q) = -q**3 + 8*q**2 - 3*q + 9. Let l be u(6). Let a be -2 + 2 - (l - -1). Calculate the common denominator of -51/10 and ((-2)/a)/((-2)/(-236)).
80
Calculate the common denominator of 41/(-8) + 0/(-5) and 2/66*534/4.
88
Let m = 327 - 997/3. Calculate the common denominator of 41/4 and m.
12
Let o be 13772/16 - (-2)/8. Let z be 1*2 - 1669/2. Let r = o + z. What is the common denominator of -3/22 and r?
22
Let q = -88 - -144. Let z be ((-4)/q)/(57/(-3666)). Let v = 5/19 + z. What is the common denominator of 17/5 and v?
35
Suppose -3*t + 8 = -2*v - 0, -12 = -4*t + 4*v. Suppose 2*x - 7 = 5*i + 24, 0 = t*x - i - 11. Calculate the lowest common multiple of x and 14.
42
Let o(n) = -4*n + 8. Let g be o(-6). Suppose -g = -4*y + 2*b, -y + 24 = 2*y + b. Calculate the common denominator of -41/2 and (y/(-20))/(4/(-205)).
2
Suppose -2*p + 28 = 3*n, 0*p = -4*n - 5*p + 35. Let z be (12/10)/((-3)/(-30)). Let y = z + -11. What is the least common multiple of n and y?
10
Let o = 62 + -40. Let v be 3 - 2 - o/2. What is the common denominator of (6/(-8))/((-12)/v) and -121/10?
40
Suppose 0*u - 5*u + 3*g + 65 = 0, 0 = -u - 4*g - 10. Calculate the smallest common multiple of u and 8.
40
Let b(p) = -2*p**2 + 7*p - 4. Let c be 5 - 2/(3 + -1). Let k be b(c). Let r(n) = -2*n. Calculate the least common multiple of 16 and r(k).
16
Suppose 12*v = 15*v - 6. What is the lowest common multiple of 113 and v?
226
Suppose -6*m + 15 = -3*m. Suppose -2*a - 2*a = -4*s + 88, 3*s + m*a - 34 = 0. What is the least common multiple of s and 16?
144
What is the common denominator of (2/4)/(1/87) and 30/(-48) - (2 - 2)?
8
Suppose -5*f = -3*p + 18, p + f + 3*f + 11 = 0. What is the least common multiple of 9 and p?
9
Let z = -22 - -23. What is the lowest common multiple of z and 11?
11
Suppose -15*r = -95 - 55. Let b(a) = a**2 + 2*a + 2. What is the smallest common multiple of b(-2) and r?
10
Let h(r) = -r - 2. Let b be h(-2). Suppose -w - m + b = -2, 3*w - 5*m = 30. Calculate the least common multiple of w and ((-15)/(-6) - 1)*4.
30
Let k = 10 + -22. Let i = k + 23. Suppose -3*z + 5*r + 0 = -6, 2*r = 0. Calculate the smallest common multiple of z and i.
22
Suppose 9 = r - 9. What is the least common multiple of r and 34?
306
Suppose s + 3*j = -5, -4*s + 2*j = -0*s - 22. Suppose 0 = -x - r - 10, 5*x + 47 = -0*x - 2*r. Let t = 13 + x. Calculate the lowest common multiple of s and t.
4
Find the common denominator of 359/(-15) - 4/10 and ((-7)/11)/((-3)/(-24)).
33
Suppose a - 21 = -16. Suppose -4*c + 2*t + 0*t = -34, -4*t + 53 = 3*c. What is the lowest common multiple of a and c?
55
Let j(x) be the first derivative of x**2/2 + 3. Let y be j(1). Suppose 0 = -d - 0*d + y, 0 = r - 5*d + 1. Calculate the least common multiple of r and 2.
4
Let t = -29170/9 + 3235. Find the common denominator of -29/2 and t.
18
Let k(t) = t. Let d be k(1). Let o be 4 - 2 - (d + 2). What is the smallest common multiple of (-9)/(o - 2) + 0 and 4?
12
Let k = 19958 + -1377067/69. Calculate the common denominator of k and -50/21.
483
Suppose -4*t - t + 40 = 0. What is the lowest common multiple of 10 and t?
40
What is the common denominator of -5/6 and (1 + -4 - -4) + (-309)/30?
30
Let k(m) be the third derivative of m**5/10 + m**4/12 + m**2. Suppose 4*t + 8 = 4*z, -2*z = -0*t + 4*t + 20. What is the smallest common multiple of k(z) and 6?
60
Suppose 2*k + 4*g - 6 = 0, g + 3*g - 5 = -3*k. What is the common denominator of k/(-5) - 806/80 and -93/4?
8
Suppose -4*d = -d - 48. What is the lowest common multiple of 10 and d?
80
Let h = 19 + -9. Calculate the common denominator of (-41)/(-16) + (-2)/8 and ((-2)/16)/(h/(-12)).
80
Let g(v) = -v**2 + 8*v - 2. Suppose 2*b - 24 = q + 9, -3*b = -2*q - 48. Calculate the smallest common multiple of b and g(6).
90
Let m be (-1570