90 - 2/6 and (12/(-8))/((-5)/14).
10
Suppose 0 = -s + 3*b - 161, -4*s + 3*b + 769 = -9*s. Find the common denominator of 23 and s/25*10/(-8).
4
Let f be (4 - 1)*(1 - 0). Suppose 0 = 5*n + w - 55, n - f*w + 4 = -1. Let r(c) = c**3 - c**2 - c - 4. What is the lowest common multiple of n and r(3)?
110
Suppose -43*z + 40*z + 27 = 0. What is the least common multiple of z and 21?
63
Suppose -1056 = 5*a + 2094. Let m = a - -1211/2. Let t = 5183/9 + -577. Find the common denominator of t and m.
18
Let f = 12707/3070 - 12/307. Let c be (-1)/6 - 222/(-36). Calculate the common denominator of f and 18/(-12) - 136/c.
30
Let x = 2 - -2. What is the common denominator of x/16 + (-203)/(-44) and 145/12?
132
Let u(c) = -2*c - 9. What is the lowest common multiple of 4 and u(-5)?
4
Let k = -398677/119020 + -2/5951. Find the common denominator of k and -65/34.
340
What is the lowest common multiple of 1 - 3 - (-7 + 2) and 2?
6
Suppose 4*p = 4*t - t + 113, -168 = 4*t - p. Let v = -23 - t. Suppose -v = 2*u - 6*u. What is the least common multiple of 1 and u?
5
Suppose 0 = -5*y - 5*m + 30, -2*y - 3*m = -4 - 10. Suppose 3*f + 15 = -0. Let z(g) = -g - 3. Calculate the lowest common multiple of y and z(f).
4
Let s be (-4)/18 + (-240555)/9180. Let x = s + -5/68. Calculate the common denominator of x and -17/10.
10
Suppose -4 = 2*u - 2. Let o(p) = -9*p**3 - p**2 - p. Let q be o(u). Suppose -2 = -r + q. What is the smallest common multiple of 10 and r?
110
Suppose -5*q - 13 + 3 = 0. What is the smallest common multiple of (1/q)/((-3)/60) and 4/(-6) - (-680)/30?
110
Let m = -1399/485 - 3/194. What is the common denominator of -11/7 and m?
70
Suppose 0 = -3*h + 3*f - 9, 7*f - 3*f - 12 = 0. Let u(v) = v**3 + v**2 + v + 4. What is the smallest common multiple of 20 and u(h)?
20
Let f = 1985597055/1727894 + -1/246842. Let w = -1146 + f. What is the common denominator of w and 55/3?
21
Let c = 21 + -12. Let s be (-736)/c - 6/27. What is the common denominator of -19/7 and (s/(-40))/(1/(-6))?
70
Suppose -c - 27 = -4*c. What is the smallest common multiple of 11 and c?
99
Let k = 41 + -40. What is the smallest common multiple of 9 and k?
9
Suppose -4*r = -3*d + 13, 7*r + 4*d - 7 = 2*r. Let n = r + 1. Calculate the common denominator of (-340)/(-8) - (2 + n) and -99/4.
4
Suppose -3*s = 4*z - 45, -66 = -4*z + 4*s - 14. Let g(u) = -u + 5. Let a be g(5). What is the least common multiple of (-3)/(-1 + a) - -7 and z?
60
Let y(x) = -x**2 - 8*x + 2. Let z be y(-8). What is the least common multiple of 14 and (0 - z)/(-4)*36?
126
Let s(r) = 4*r - 14. What is the least common multiple of 20 and s(7)?
140
Let r(j) = -4*j + 1. Let y be r(-1). Suppose -48 = -y*z + z. Calculate the lowest common multiple of z and 12.
12
Calculate the common denominator of (-117)/(-14) + 0 + -3 and 151/30.
210
Let f be (-1)/(-1 - (-4)/5). Let u(k) = k + 5. Suppose -2*v = -3*v + 9. What is the smallest common multiple of v and u(f)?
90
Let w be (13810/(-48))/((-47)/(-2)). Let d = w - 1/141. Calculate the common denominator of d and 29/16.
16
Suppose 4*f - 80 = -f. What is the smallest common multiple of f and 168?
336
Let v be (6/(-4))/((-9)/24). Suppose -2*s = -4*s - v*j + 18, 2*s = 3*j - 3. Suppose m + s*m - 24 = 0. What is the lowest common multiple of 8 and m?
24
Let z be 0 + (-3)/((-450)/39). Let k = z + -4/25. What is the common denominator of 11/10 and k?
10
Let a(w) = -w - 2. Let u = -3 - 5. Calculate the least common multiple of a(u) and 5.
30
Suppose -5*a = -5 - 0. Let v = 1087/3 + -679/2. What is the common denominator of v and (62/(-3))/(a*12)?
18
Let l = -9793/8 + 1222. Let i = 112565/12 + -9392. Find the common denominator of i and l.
24
Suppose 0 = 5*b - 67 - 123. Suppose -2*k = 4 - b. Let h = 24 - k. What is the lowest common multiple of h and 7?
7
Let p = -190627/14 - -13623. Let r(g) = 83*g + 8. Let z be r(6). Let n = z + -1949/4. Calculate the common denominator of n and p.
28
Find the common denominator of 4 + (4 - (-417)/(-18)) and -1/6.
6
Calculate the least common multiple of 14 and (66/(-12) + 4)/((-1)/28).
42
Let o(s) = -2*s**2 - 7*s + 3. What is the smallest common multiple of o(-3) and 18?
18
Let v = 15 - 11. Suppose -v*f = -c + 4*c - 23, 4*f = 20. Calculate the smallest common multiple of 14 and c.
14
Let x be (24/32)/(1/16). Suppose 2*h + x = w, -w + h = -2*w + 9. What is the smallest common multiple of w and 2/(-3) - 52/(-6)?
40
Let t = -959 + 2789. Let n = t - 36591/20. Find the common denominator of -65/22 and n.
220
Let m = 29 - 18. Let r = 27 - m. Calculate the lowest common multiple of 2 and r.
16
Let d = 444 + -3120/7. Calculate the common denominator of 183/(-40) - (-1)/5 and d.
56
Suppose 0*s - 2*s = 0. Suppose s*m = -4*m. Let b(x) = x**2 + x + 11. Calculate the lowest common multiple of 11 and b(m).
11
Let f be (-94)/10 - (-2)/5. Let b = 15 + f. Let o(s) = 8*s**2 + s. What is the least common multiple of o(-1) and b?
42
Let z(b) = -b**3 + 6*b**2 - 4*b - 1. Let y(x) = 3*x + 2. Let s be y(1). Calculate the lowest common multiple of z(s) and 10.
20
Suppose 3*p - 2*l = -28, -23 - 11 = 3*p + 4*l. What is the lowest common multiple of 1 and ((-24)/p)/(3/10)?
8
Let t = -842 - -5035/6. Calculate the common denominator of t and 305/28 + 5/(-35).
12
Let f be (-22282)/(-36) + 7/21. Let d = f - 617. What is the common denominator of d and 19/18?
18
Let k(i) = i**2 - 9*i + 5. Let x be k(6). Suppose -3*z = -q + 32, 2*q = -3*z - 0*z + 28. Calculate the smallest common multiple of 0 + (-2 - x) - 1 and q.
20
Suppose 0*k - 3*k = 4*u + 29, -2*u = k + 15. Let i be u/(-2210)*(-5)/(-3). Let n = -48391/1326 - i. Find the common denominator of n and -47/2.
2
Let g be (16/(-20))/((-4)/10). Suppose -5*t - 1 = -4*x, -2*t - 2*t = -x + 3. Calculate the common denominator of 54/11 and 13/(x/g*-22).
11
Let c be (-3136 + (-3 - -5))/2. Let u = c + 3077/2. What is the common denominator of 91/6 and u?
6
Let w(p) = 8*p + 9*p - 9 + 8. What is the smallest common multiple of w(1) and 18?
144
Let f(c) be the second derivative of -c**4/12 + 7*c**3/6 + 2*c**2 + 2*c. Suppose 0*h = h - 4. What is the smallest common multiple of f(7) and h?
4
Suppose 5*h - 5 = -2*t + 14, -14 = -4*t - 2*h. Calculate the smallest common multiple of t and 14.
14
Let l(u) = -u**2 + 7*u + 2. Let m be l(7). Suppose -3*x + w + 0*w - 6 = 0, 3*x = -m*w + 3. What is the common denominator of -38/5 and -1 + -1 - (-37)/x?
5
Calculate the common denominator of -1 + (975/20)/3 and 36/5.
20
Let b = 60 - 58. Suppose 5 = v - 9. What is the smallest common multiple of b and v?
14
Let o = -17 - -38. Suppose -5*h + 14 = -o. Calculate the lowest common multiple of h and 8.
56
Calculate the common denominator of 47/10 and 305/(-6)*(-1)/(-5).
30
Let f be 5/(15/(-2))*-36. Let g = 4/25 - -767/50. Let l = f - g. What is the common denominator of l and -14?
2
Suppose v - 5 - 1 = 0. What is the common denominator of 1735/150 - 4/v and 235/48 + 2/3?
80
Let z be (8/(-252))/((-8)/(-9249)). Let v = z + 916/21. Calculate the common denominator of v and -13/4.
12
Suppose -x = -0*x - 5. Let c = x - 1. What is the least common multiple of -2 - (-1*7 - -2) and c?
12
Let c = 28 - 10. Let b = c - 8. What is the smallest common multiple of b and 3?
30
Let s(f) = 516*f**2 - 3*f + 3. Let n be s(-4). Let w = -90799/11 + n. Let r = w + -789/55. Find the common denominator of 87/10 and r.
10
Let h(u) = -u**3 - 9*u**2 + 10*u + 4. Suppose 3*k = 4*q - 20 + 2, -k = 5*q + 6. Let z = k - -16. What is the least common multiple of z and h(-10)?
20
Let f = 5 - 6. Let t = 8 + f. Suppose -5 - t = -4*a. Calculate the smallest common multiple of 8 and a.
24
Let f = -1629/5 + 2803/10. Let y be -2 + -7*553 + 1. Let l = -23305/6 - y. What is the common denominator of l and f?
6
Let h = 6433 + -38681/6. Calculate the common denominator of 89/16 and h.
48
Let f(i) = -i - 5. Suppose m - 23 = g + 6*m, 0 = 3*g + 4*m + 14. What is the lowest common multiple of f(-7) and g?
2
Let v be (-92)/(-1) + (-1 - 1). Suppose -2*f + v = f. What is the common denominator of 2 + (-321)/f - 0 and 76/3?
30
Suppose 4*l + 0*x = -x + 50, 0 = -3*l + 3*x + 30. Calculate the lowest common multiple of -10*((-40)/25 + 0) and l.
48
What is the lowest common multiple of 4*(-3 - (-17)/2) and 16?
176
Let x = -1465340