 denominator of (-367)/(-104) - u/(-117) and -1/38?
152
Let h be (20/8 - 2)*4. Suppose 3*l - 43 = -h*u, 0 = u - 0*u - 5*l - 15. Calculate the lowest common multiple of u and 6.
60
Let m = -552/17 - -1091/34. Find the common denominator of -77/4 and m.
68
Let m be 2 + (0 - (-1 - -2)). Find the common denominator of ((-38)/16)/(((-35)/(-350))/((-12)/110)) and 1/2 - (m + 8).
22
Let j(p) = -4*p**3 + p**2 + 1. Let c be j(-2). Suppose f + c = -23. Calculate the common denominator of (5/f)/((-3)/(-114)) and 38/3.
6
Suppose 3*p - 7 = -4*y, 5*y + p = 7 - 1. Let n = 41 - 17. Suppose -6*w = -2*w - n. Calculate the least common multiple of y and w.
6
Suppose 3*c + 47 = g, 4*c - 2*c + 10 = 0. What is the lowest common multiple of -4 - (g/(-2) - 0) and 8?
24
Suppose -4*v + 2*i - 1 = -3, 0 = v - 4*i + 3. Let q(j) = 21*j**2 + 2*j - 1. Calculate the least common multiple of q(v) and (-1)/(-1) - (-17 - 4).
22
What is the smallest common multiple of 10 and 239 - (-2 + -4*(-28)/16)?
1170
Suppose 63 = -2*u + 11. What is the common denominator of u and (-27)/8 + 6 + -2?
8
Let b = 12 + 1. Let y = b - 11. Calculate the common denominator of (-62)/(-9) + -2 + y and 59/2.
18
Find the common denominator of -41/70 and (-1060)/(-1092) + (-28)/21.
910
Let b = 134077826/506649 + -7/46059. Let g = 267 - b. Calculate the common denominator of -25/19 and g.
209
Suppose -2*r + 14 = 2*p, -5*p + 17 = -3*r - 58. Let o = 16 - p. Let s(h) = -h**2 + 5*h + 2. What is the smallest common multiple of 2 and s(o)?
6
Suppose 3*f - 62 - 43 = 0. Calculate the least common multiple of 8 and (-2)/(-1) + f/7.
56
Suppose -3*g + 16 - 13 = 0. What is the common denominator of -2 - (g + 154/(-40)) and 1/4?
20
Suppose -6 - 12 = 3*d. Find the common denominator of d/27 - (-2)/(-72) and (25/(-150))/((-16)/(-306)).
16
Suppose 23165 = -3*i + 4*p, 0*p - 38655 = 5*i + 5*p. Let z be -46463*(7 + -3)/(-24). Let q = i + z. What is the common denominator of q and 87/2?
6
Let s = -1326 + 1462. Calculate the lowest common multiple of s and 374.
1496
Let n = 56 + -51. Suppose n*x - x - 16 = 0. Suppose 3*b = 12, -y - 2*y + 20 = -4*b. What is the least common multiple of x and y?
12
Suppose 0 = 7*a - 5*a - 6, -5*h + 3*a - 2204 = 0. Let z = 3104/7 + h. Calculate the common denominator of z and (-107)/(-10) + 0 + -1.
70
Suppose 4*h = 5*l - 79, -2*l + 33 = -2*h - 5. Find the common denominator of (h/(-30))/(6/(-15)) and 95/8.
24
Let r be (10*1)/(10/5). Suppose -5*d + 80 = r*j, d + 1 = 5. Suppose 0*p - j = -6*p. What is the lowest common multiple of 3 and p?
6
Let d = -2/737 + -193/2948. Calculate the common denominator of d and -87/40.
440
Let n(m) = m**2 + 49*m + 366. Calculate the smallest common multiple of (-1)/4 - (-146)/8 and n(-8).
342
Let c be ((-8)/(-78))/(438/9). Let q = 69285/3796 - c. Find the common denominator of q and -59/22.
44
Let x = 267/7 + -8741/231. Let p = x - -101/66. Find the common denominator of -47/28 and p.
84
Let i(q) = q**3 + 7*q**2 + 4*q. Calculate the smallest common multiple of i(-5) and 2.
30
Suppose -5*b - 2*x = -22, x = -3*b + 18 - 5. Let z = b + 7. What is the least common multiple of 8 and z?
88
Let f(h) = 9*h**2 + 34*h - 98. What is the smallest common multiple of f(4) and 22?
2002
Suppose 6*i + 23 = 17. Calculate the lowest common multiple of (-40)/5*i*(-3)/(-6) and 12.
12
Let j = -2/22751 + -2479815/500522. What is the common denominator of 97/14 and j?
154
Let u = -2076613/2925 + 9225/13. Calculate the common denominator of -17/120 and u.
1800
Let l = -19 + 20. Let d = -1 + l. Suppose 55 = 5*a + 5*t, d = -t + 5 - 1. What is the smallest common multiple of a and 5?
35
Let n = -3/3146 + -92783/25168. Let z be 2*(-265)/20*-2. Find the common denominator of (z/(-5))/((-8)/10) and n.
16
Let b = -853 + 1062. Calculate the least common multiple of 190 and b.
2090
Suppose 6*j = 4*j + 12. Let r(i) = 9*i + 13. Let k(o) = o + 1. Let s(x) = j*k(x) - r(x). What is the smallest common multiple of s(-7) and 12?
84
Let p be 176/4 + -1 - 3. Let n = 8 - p. Find the common denominator of n and 1/((-12)/(-38)*1).
6
Let y be 0/(1 + 0/(-3)). Let n be (-3)/(-3) + y + -19. Let p = n + 19. Calculate the least common multiple of 8 and p.
8
Let p(u) = -u + 8. Let g be p(4). Suppose b = 6 - 1. Let m = b + g. Calculate the lowest common multiple of m and 1.
9
Let l = 55 + -49. What is the smallest common multiple of l and 5?
30
Let z(a) = -a**3 - 4*a**2 - a. Let r be z(-3). Let c(h) = -8*h - 8. Let m be c(r). Suppose -7*s + m = -5*s. Calculate the least common multiple of 14 and s.
140
What is the common denominator of 154/30 + (-12)/15 and ((-111)/54 + 0)*-1?
18
Let s(f) = -175*f - 26. Let q be s(-14). Calculate the common denominator of 14/5 and (-174)/q - 2/(-8).
505
Let d be (-4)/4 - 3/(-3)*-1. Suppose a = 3*r + 3*a - 9, 6 = 3*r + a. What is the common denominator of -63/10 and 202/(-20) + r + d?
10
Let l(r) = -r**2 + 4. Let n(t) = -2*t + 3. Let g be n(4). Let j(b) = -b**3 - 5*b**2 - 3*b - 7. Calculate the least common multiple of l(0) and j(g).
8
Let p = 16/197 + -1127/26004. Calculate the common denominator of p and 77/10.
660
Let s(o) = -o**3 + 12*o**2 + 35*o - 28. Calculate the least common multiple of 40 and s(14).
280
Suppose 0 = -5*j + 2*q + 282 + 168, -q - 93 = -j. Calculate the smallest common multiple of 48 and j.
528
Let j = -3268 + 127450/39. Find the common denominator of ((-1)/4)/(33/(-80)) and j.
429
Let o(j) = j**3 - 23*j**2 + 41*j + 29. Suppose 5*n - 44 = b, n + 5*b - 10 = 4. Calculate the least common multiple of o(21) and n.
72
Let l = 1290259/79 + -16333. What is the common denominator of l and (-1923)/132 - (-4)/(-22)?
316
Let o = -1/33632 - -4506715/908064. Let k = 8225825/108 + -76159. Let a = o - k. Find the common denominator of a and 19/28.
84
Suppose -10*j + 239 = 19. Suppose 240 = k + 3*k. Suppose k = 2*r + r. What is the smallest common multiple of r and j?
220
Let c = 7663 + -413761/54. Calculate the common denominator of -4/9 and c.
54
Let k = 593/410 + 6782103/1640. Let u = k + -4125. What is the common denominator of u and 89/10?
40
Let k(v) be the first derivative of 2*v**2 - 3*v - 1 + 1/4*v**4 - 2/3*v**3. What is the smallest common multiple of k(2) and 10?
10
Suppose 0 = 2*m + 3*m + 3*h + 2, 0 = m + 4*h - 3. Suppose -4*l - 4*l = -96. Calculate the lowest common multiple of (-4)/(-2)*(6 - m) and l.
84
Let m(i) = -i**2 - 3*i + 9. Let c be m(-4). Suppose b - 7 - 13 = 0. Calculate the lowest common multiple of c*(16/b - 0) and 8.
8
Let s = -318 + 327. What is the lowest common multiple of 10 and s?
90
Suppose -117*q + 114*q = -27. Let g(d) = d**3 - 10*d**2 + 10*d - 1. What is the least common multiple of g(q) and 20?
40
Let a(p) = -8*p**3 - 27*p**2 + 38*p - 9. Let z(s) = 3*s**3 + 9*s**2 - 13*s + 3. Let t(m) = -4*a(m) - 11*z(m). What is the lowest common multiple of 22 and t(7)?
418
Let k be ((-186)/(-4))/((-66)/2519). Let w = 1751 + k. Let b = 5266/5 + -1060. What is the common denominator of b and w?
20
Suppose -o - 13 = -0*o + 3*c, -2*o + c = -9. Let v = -7 - -1. Let h = v + 14. Calculate the lowest common multiple of o and h.
8
Suppose 20*d - 15*d = 50. Suppose -4*a - 12 = -0, 2*t = 5*a - 41. Calculate the smallest common multiple of d and (6/4)/((-2)/t).
210
Suppose -2*o + 32 = -4*d, -d - 71 = 3*o - 8*o. What is the least common multiple of 80 and o?
560
Let m(v) = 2*v**2 + 43*v - 41. What is the lowest common multiple of 11 and m(-23)?
308
Find the common denominator of -71/20 and 13/15*(-8)/(-140)*-7.
300
Let g(c) = -20*c**3 - 5*c**2 + 6*c. Let o be g(3). Let y = o - -1157/2. What is the common denominator of y and 125/6?
6
Let g(n) = n**2 - 4. Let a be g(4). Find the common denominator of ((-19)/(-35))/(a/150) and 13/30.
210
Suppose 4*u - 395 - 2385 = -5*z, 3*z - 1695 = 3*u. Calculate the common denominator of (-1)/16*z/24 and -5/2.
24
Suppose -33*k + 4454 = 1286. What is the smallest common multiple of 168 and k?
672
Let k = 187301/10 - 18728. What is the common denominator of (31/(-36))/(2/3) and k?
120
Let q be (3/3195)/(12/(-10)). Let p = 2288341892/639 + -3581135. Let b = p - q. Calculate the common denominator of 33/14 and b.
126
Suppose -c - 1 = 5*q - 17, -4*q = 4*c - 32. Calculate the smallest common multiple of c and 21.
42
Find the common denominat