698
Calculate the lowest common multiple of ((-40)/25)/((-28)/420) and 333.
2664
Let k(z) be the first derivative of 3*z**2/2 + 11*z + 14. Calculate the least common multiple of k(5) and 8.
104
Let t(u) = 3*u**3 + 13*u**2 - 26*u - 16. What is the least common multiple of 30 and t(4)?
840
What is the lowest common multiple of (255/(-1))/(-5) - 3 and 72?
144
Calculate the common denominator of (-136 - -138)/(36/(-98)) and -20/777.
2331
Let n = -114 - -112. Suppose -5*g + a = -62, 3*a + a = 4*g - 56. Let h = g - n. Calculate the common denominator of -41/4 and h.
4
Find the common denominator of (158/120)/(90/180) and -77/52.
780
Let b = 9 - -6. Let i = 47 - b. Let y = i - 12. What is the smallest common multiple of 8 and y?
40
Let j = -35 + 37. Calculate the least common multiple of 9 and 1/(65/30 - j).
18
Let u = -54271/16 + 3390. Let s be (2/(-3))/(10/705). Calculate the common denominator of s/3*(-1)/4 and u.
48
Let w = -2/93 + -269/465. Let u = -1568 - -112877/72. Find the common denominator of u and w.
360
Suppose -23 = -3*a + 16. Suppose -3*j = 2*z - 7 - 12, -5*z = -4*j - a. What is the least common multiple of 37 and z?
185
Calculate the common denominator of 43/30 and 815/(-1428) - (-261)/609.
1020
Suppose -v - 3*v = 0, 0 = -d + v. Suppose d = -h + 24 - 9. What is the smallest common multiple of h and 21?
105
Let v = 24777/7630 - 18/545. Let b = -125 + 284. What is the common denominator of -1 - (b/48 + -2) and v?
112
Let a(v) = -100*v + 303. What is the lowest common multiple of 258 and a(3)?
258
Let m(o) = -44*o**3 + 3*o**2 + 2*o + 1. What is the lowest common multiple of 2 and m(-1)?
46
Let f(l) = l**2 - 5*l - 10. Let g be f(8). Suppose 4*q = 4*s + 8, -4*s = 3*q + s - g. Suppose 0 = j + q*j - 44. What is the lowest common multiple of 6 and j?
66
Let g(u) be the second derivative of -1/6*u**3 + 0*u**2 + 2*u + 0. Calculate the smallest common multiple of g(-9) and 2.
18
Let j = 47/18 - -8/9. Calculate the common denominator of j and -4 - 15/14*-1.
14
Let m(v) = v**3 + 6*v**2 - 5*v + 10. Let a be m(-7). Calculate the common denominator of (-4)/18*(-74)/4 and (13/3 + a)/(6/142).
9
Let z be (-60)/(1*(-3)/9*134). Let x be (-2394)/(-2680) - 0/(-2). Let c = z - x. Calculate the common denominator of c and 3/2.
20
Suppose -9760 = 11*m - m. Let l = m + 9751/10. Find the common denominator of l and 79/42.
210
Let z = 564 - 562. Calculate the lowest common multiple of z and 1134.
1134
Let z(s) = -s**3 - 4*s**2 + 12*s + 8. Calculate the lowest common multiple of 28 and z(-6).
56
Let d = 592656938/5395 - 109853. Let u = d + -685237/129480. What is the common denominator of -81/32 and u?
96
Let p(v) = v**3 + 7*v**2 - v + 13. Suppose -4*k - 108 = 4*y, k + 0*k - 5*y = -15. Let l = k + 35. Calculate the lowest common multiple of p(-7) and l.
20
Suppose 6*l - 54 = -2*d + 4*l, -4*l = 2*d - 46. Let k = d - 20. Suppose 0 = 3*c - 4*c + k. What is the smallest common multiple of c and 7?
77
Let k = -2/1119 + 81695/4476. Let h(b) = 30*b - 2. Let p be h(3). Calculate the common denominator of ((-3)/p)/(1/36) and k.
44
Let u = 640/37 - 41866/2553. Find the common denominator of -11/3 and u.
69
Suppose q - 2*a - 2*a = 8, -5*a - 17 = -3*q. Let d be 6 - (1 - 0/q). Suppose -d*s = -0*s - 30. Calculate the smallest common multiple of s and 18.
18
Suppose 3*y - 15 = -5*o, -o + 3*o + 4*y = 20. Suppose 4*k - g + 1 - 8 = o, -3*g - 9 = 0. Calculate the lowest common multiple of 3 and k.
3
Let q(n) = -2*n**3 + 3*n**2 + 2*n + 5. Let m be q(7). Find the common denominator of (-11910)/m - (-2)/(-13) and (-1)/39 + 2 + (-8)/3.
52
Let a = 3431/321 - 45/428. What is the common denominator of 226/32 + 0 - 2 and a?
48
Let l = -7989/77 - -760/7. What is the common denominator of -31/9 and l?
99
Let c be (10/(-4))/((-8)/48). Let a = c + -8. What is the least common multiple of 3 and a?
21
Let o be 6/21 - (-2901)/(-10521). Let h = -23582/3507 + o. Find the common denominator of -8/7 and h.
7
Suppose 45*p + 176 = 56*p. Calculate the smallest common multiple of p and 32/(-12)*42/(-8).
112
Suppose 4*l + 0 = -3*z + 19, -6 = 4*l - 2*z. Let q be (5 - 9)*(1 + l). Calculate the smallest common multiple of 8 and (-60)/q - 1/(-2).
8
Suppose w + y = 245, -3*y - 750 = -3*w - y. Let n be (-2)/7 - w/14. What is the common denominator of 6/(-8)*(-498)/n and 85/8?
8
Suppose r - 2895 = -5*v, -3*r + 3*v = v - 8719. Suppose c = 2*c + r. Let q = c + 34765/12. Find the common denominator of 39/4 and q.
12
Let k = -171401/90 + 15239/8. What is the common denominator of -13/3 and k?
360
Suppose 0 = 33*n - 279 - 315. What is the least common multiple of 652 and n?
5868
Let q = -6 - 3. Let w = 11 + q. Suppose 0 = -2*a - w*x + 10, 0 = a - 3*x - 2*x + 19. Calculate the least common multiple of a and 8.
8
Let h be 4/(-8)*26/(-18)*25787. Let l = -6772 - 11844. Let o = h + l. Calculate the common denominator of 111/20 and o.
180
Let i(y) = -4*y**3 + y**2 + y + 2. Let r be i(-2). Let p = 36 - r. Let x = p - -2. What is the lowest common multiple of 10 and x?
10
Suppose 23*o - 294 = -5*j + 21*o, 0 = -j - o + 60. Calculate the lowest common multiple of (4/10)/(2/10) and j.
58
What is the common denominator of 61/6 and 7652/(-16440) - 33/(-110)?
822
Suppose 19 = h + 1. Suppose -o + 9 - 5 = 0. Suppose 3*u = q - 13 + 4, -o*q + 57 = -5*u. Calculate the least common multiple of h and q.
18
Let f be 10 - (2 + 4*3/12). Suppose -f*z + 135 = 2*z. What is the least common multiple of z and 24?
120
Calculate the smallest common multiple of 304/10 + (-110)/275 and 95.
570
Suppose 1430 = -x + 6*x. Calculate the common denominator of x/(-33)*1/(-2) and 16.
3
Suppose 0 = -5*l + 4*l + 48. Suppose 20*t - 17*t - l = 0. What is the smallest common multiple of 16 and t?
16
Suppose 243*a = 231*a + 936. Calculate the least common multiple of 30 and a.
390
Calculate the common denominator of ((-1)/((-40)/(-267)))/((-882)/(-392)) and 97/600.
600
Let d(h) = -3*h - 27. Let q be d(-8). Find the common denominator of 14/5 and (-18 - 3)/(30/q).
10
Suppose 0 = -5*a - 25, 5*a = -5*r + 3*a + 145. Let j = r - 25. What is the lowest common multiple of j and 12?
12
Let q(n) = n**3 - 4*n**2 + 2*n - 4. Let i be q(4). Suppose v + 2 = -v - i*x, -2*x - 2 = 0. Calculate the least common multiple of 14 and 3/1*7 - v.
140
Let w = -685 + 721. Calculate the least common multiple of 258 and w.
1548
Let d = -38645/14 - -2762. What is the common denominator of -53/918 and d?
6426
Let m = -5/287 + -12875/2296. Let u be (-3)/(-9) + 228255/63. Let n = u + -3615. What is the common denominator of n and m?
56
Let w be 2/1*(-4 - -5). Suppose -v = 3*l - 5, -4 + 19 = w*v + l. What is the lowest common multiple of 2 and v?
8
What is the common denominator of -17/270 and (-4370)/(-8208) - (-2)/(-8)?
1080
Let z(k) = -3*k - 17. Let p(h) = -h**3 - 3*h**2 + h - 1. Let r be p(-2). Let b be z(r). Calculate the smallest common multiple of 6 and 1 - (8 - b) - -16.
78
Suppose -a = -1 - 4. Let t(y) = y**3 - 5*y**2 - 3*y + 7. Let o be t(a). What is the lowest common multiple of ((-48)/9)/(o/12) and 16?
16
Find the common denominator of (3489/(-2160) - -2) + 6/(-27) and 87/8.
80
Let w(n) = -n**3 + 10*n**2 - 15*n - 6. Let v be w(8). Find the common denominator of v/12*-18*162/48 and 37/10.
40
Let c(k) = 4*k**2 - 4*k**2 + 5*k**2 + 0*k**3 - 4*k - k**3. Let w be c(4). Suppose w*g = -g + 5. What is the lowest common multiple of 1 and g?
5
Let n(b) = -14*b - 173. What is the least common multiple of 152 and n(-13)?
1368
Suppose 5*d + 0*d = 340. Calculate the lowest common multiple of d and 24.
408
Find the common denominator of 50/3 and ((180/(-8))/15)/((-2340)/57).
1560
Suppose 5*c = -4*u - 23, 5*c - u + 10 = c. Let n(a) be the first derivative of -3*a**2/2 + 2*a - 1. What is the least common multiple of n(c) and 9?
99
Let f = -15/484 + -2485/17424. Calculate the common denominator of -157/240 and f.
720
Suppose 3*d - 57 = -3*k, 2*d - 15 = -3*k + 39. Let i = -3757 + 3795. What is the lowest common multiple of i and k?
304
Let m be 0 + 1 + 506/82. Let a be (-13570)/(-1435) + 3 + 3. Let s = m - a. Find the common denominator of -6/5 and s.
35
Let y = -18 + 20. Suppose -5*g = -5, 5*c - 4*c = -y*g + 5. Suppose -b - 2*x = c, -2*b - 7 + 25 = -4*x. What is the lowest common multiple of 10 and