 Suppose -g - 2*h + 1 = -1, 2*h - s = -5*g. Suppose g*c = 7*c - 10. Calculate the smallest common multiple of c and 8.
8
Let j = 127 - 69. Suppose 23 = u + 3*r + r, j = 5*u + r. Calculate the lowest common multiple of u and 2.
22
Calculate the common denominator of (-6)/9 - 418/120 and 29/66.
660
Let y(j) be the second derivative of -j**4/12 - 11*j**3/6 - 4*j**2 - 4*j. What is the smallest common multiple of y(-9) and 11?
110
Let r be (4/(-8))/((-2)/1926). Let n = r - 464. Find the common denominator of n and -15/11.
22
Let v(y) = -1263*y**2 + 2. Let f be v(3). Let t = 159185/14 + f. What is the common denominator of t and -89/12?
84
Let t = 2 + 6. What is the lowest common multiple of t and 4 + 14/(-3) + 24/9?
8
Suppose -4*a + 8 = -4. Suppose 4*k = -7 + 3, -2*v = k - 13. Let d = v + a. What is the least common multiple of 10 and d?
10
Let n(o) = 1 - 2*o + 11 + 10 - 8. What is the lowest common multiple of n(-8) and 3?
30
Suppose -5*k + 36 + 14 = 0. What is the least common multiple of k and 18?
90
Let c = 7760 - 77723/10. Calculate the common denominator of 537/180 + (-12)/30 and c.
60
Let v = -1951/2 - -933. Find the common denominator of v and 52/5.
10
Let y(w) = -3*w - 4. Let l(r) = 4*r + 4. Let p(c) = -5*l(c) - 6*y(c). Let f be p(5). Calculate the common denominator of -58/5 and (-554)/(-28) + f/21.
10
Let s be 1359/12*(-5 - 7). What is the smallest common multiple of 3/7 - s/63 and 18?
198
Let o be 0 - 3 - (-14354)/4785. Let g = -117707/19140 + o. What is the common denominator of g and 107/20?
20
Let a = -16496672 + 8429795272/511. Let q = a + 15/73. What is the common denominator of -63/8 and q?
56
Suppose 2*d = 4*f, -f - 4*d = -0*f - 18. Calculate the smallest common multiple of 22 and f.
22
Let u be 1/3 - 695577/(-20358). Let v = -2/3393 + u. What is the common denominator of 69/2 and v?
2
Let n(q) = q - 4. Let x be n(4). Suppose x = 5*i, -2*j - 2*j = 4*i - 4. Suppose -240 = -20*r - 60*r. What is the lowest common multiple of r and j?
3
Suppose -3*x - x - 8 = 0. Calculate the least common multiple of ((-14)/(-6))/((-1)/(-3)) and 6/(1 - x)*5.
70
What is the common denominator of 16/3 and 7/(-10) - (5 + -7)?
30
Let c(n) = -5*n**2 - 4*n + 2. Let w(v) = -14*v**2 - 11*v + 5. Let p(q) = 11*c(q) - 4*w(q). What is the lowest common multiple of p(-2) and 10?
30
Suppose -5*u + u = -44. Suppose -y + 8*i = 3*i - 1, 4*y = -5*i - 21. What is the lowest common multiple of u and y/22 - 70/(-22)?
33
Suppose 4*l + 0*l - 238 = -5*m, m = l + 44. What is the smallest common multiple of 16 and m?
368
Suppose -5*r + 14 = 4*y, -y - 8*r + 4*r = -9. Calculate the least common multiple of y and 16.
16
Let k = 116 - 94. Calculate the lowest common multiple of 16 and k.
176
Let h(k) = -15*k - 3. Let o be h(-5). Let z = 102 - o. Suppose -a - 2*a = -z. Calculate the least common multiple of a and 6.
30
Suppose -2*w + 2*n = -24, -2*n = 2*w + w - 16. Calculate the smallest common multiple of w and 0 + -1 + (0 - 12/(-4)).
8
Let q be (-2)/(-4)*53*2. Suppose -3 + q = 5*j. Let m = 19 - j. What is the smallest common multiple of m and 4?
36
Calculate the lowest common multiple of 6 and -1 + 5 - (4 - 21).
42
Let g = -38 + 41. What is the least common multiple of 4/8 - (-3)/2 and g?
6
Let v = 9 + -13. What is the lowest common multiple of (-39)/v - 1/(-4) and 14?
70
Suppose 4*j + 4*c = 15 + 9, -c = 2*j - 11. Calculate the least common multiple of j and 4.
20
Suppose 0 = 4*f - 12, 5*f = -5*b - 0*b - 5. Let k(v) = 2*v + 10. Let o(m) = m + 1. Let w(t) = k(t) - 6*o(t). What is the least common multiple of 10 and w(b)?
20
Let i = -40063/11 - -3638. Calculate the common denominator of i and (28/10)/(18/(-30)).
33
Let f be 128/22 - (-4)/22. Suppose 26 = -f*z + z - 4*w, -4*z = 5*w + 28. Find the common denominator of -59/2 and (24/(-10))/3 - z.
10
Find the common denominator of (56/16)/((-9)/4) and -44/7.
63
Let v = -26698703/1560 + 85574/5. Calculate the common denominator of 35/18 and v.
936
Let f = -77551/14 + 5534. Let n be 4/10 + 36761/70. Let c = n + -2641/5. Find the common denominator of c and f.
14
Let h(r) = -3*r - 1. Let w be h(-2). Suppose 0 = 3*d + 2*v - 56, -4*d + 14 = -w*v - 30. What is the least common multiple of (22/33)/(1/21) and d?
112
Let v(t) = -3*t + 3. Calculate the smallest common multiple of v(-6) and 15.
105
Suppose 3 = -2*x - 5. What is the lowest common multiple of (-2 - -3)/(2/20) and (36/x)/(-3) - -1?
20
Let b = 16 + -12. Suppose -2*q - 2*q = b*x - 20, q + 5*x = 5. What is the least common multiple of 7 and q?
35
Let g = -88001/10235 + -4/2047. Calculate the common denominator of g and 31/9.
45
Let c = -3175 + 28538/9. Calculate the common denominator of c and -74/3.
9
Let u = 1428963221/10343047159577772 + 1/578734028. Let w = 199816207192/3949678629 + u. Let y = -20/221 + w. Find the common denominator of y and 41/9.
18
What is the lowest common multiple of -2 - (204/48)/(1/(-4)) and 27?
135
Let k = 33 - 15. What is the lowest common multiple of k and ((-4)/2)/(-2) + 21?
198
Let f(o) = 2518*o - 2. Let t be f(2). Suppose -5*z - t = -2*z + 5*a, -3358 = 2*z + 4*a. Let v = z + 13431/8. What is the common denominator of 9/10 and v?
40
Suppose -9*r - 69 + 933 = 0. Calculate the smallest common multiple of 4 and r.
96
Calculate the common denominator of (-250)/24 + 2/8 and (8/(-108)*-393)/(-6 + 2).
18
Suppose -3*a - 2 = -5*a. What is the least common multiple of a and 5?
5
Suppose -b = -86 + 1259. What is the common denominator of b/(-30) + 2/5 and (2/14)/(1/(-23))?
14
Suppose 2*x + 5260 = -2*x. Let i = 545 + x. Find the common denominator of (-2)/13 - i/104 and -14/5.
20
Let q = 4/7521 - 459037/481344. What is the common denominator of -101/10 and q?
320
Find the common denominator of 13/(-65)*(-470)/32 and 101/22.
176
Suppose -5*t = -4530 - 4000. Let o = 6789/4 - t. Find the common denominator of 71/3 and o.
12
Let a = -82/19 - -21677/114. Let b = a - 463/3. Calculate the common denominator of b and (125/120)/((-1)/(-9)).
8
Let t = -477 - -2419/5. Find the common denominator of 4 and t.
5
Let c = -8 - -3. Let m(d) = d**3 - 2*d**2 - 4*d - 5. Calculate the lowest common multiple of (-1 - 4)/(c/10) and m(4).
110
Let u(g) = -g**3 + 8*g**2 + 9*g + 6. Let s be u(9). Suppose -3*x - 12 = -s*x. What is the common denominator of 109/6 and 19*((-6)/x + 0)?
6
Find the common denominator of 5 and (-1)/90*1780/(-8).
36
Let b(c) = c**2 - 7*c - 5. Let w be b(9). Let t = w - 9. Calculate the smallest common multiple of 6 and t.
12
Let u(o) = o. Let j be u(1). Calculate the common denominator of (30/8)/(9/(-33)) and (-148)/(-8)*j/(-2).
4
Let b = 78148/39 - 26070/13. Calculate the common denominator of -74/9 and b.
117
Suppose 0 = 4*y - q - 15, 2*q - 15 = -4*y + 3*y. Suppose 0 = y*w + 35 + 325. Find the common denominator of 226*(-3)/w - -3 and -5/18.
36
Let y = -185 - -1809/10. Let f = -232 + 682/3. Find the common denominator of f and y.
30
Let h = 32/7 - -16/21. Suppose -2*u = -5*u - 894. Calculate the common denominator of 4/6 - u/(-60) and h.
30
Suppose -428 = 4*f - 8*f. Suppose 0 = -2*t - f + 13. Calculate the common denominator of t and 3/5.
5
Calculate the smallest common multiple of 14 and 0 + 1 + -10 + 13.
28
Let u = -64/107 + -3191/1284. What is the common denominator of (-6)/(-9) + -1 + 46/8 and u?
12
Let q = 216310/34767 + 2/3863. Let t = -1/10 - -79/90. What is the common denominator of q and t?
9
Suppose -5*b = 3*i - 5 + 2, 2*i = -b + 9. Calculate the lowest common multiple of 7 and i.
42
Let z(d) = 19*d - 1. Let y be z(1). Suppose 5*v = 4*v + y. What is the least common multiple of 186/v - (-2)/(-6) and 4?
20
Let c = 10 - 6. What is the least common multiple of c and 8/12 - 68/(-6)?
12
Suppose 2*d - 8 = -c, 4*c = 2*d - 0*c - 8. What is the common denominator of 1/12*218/3 and 15/d*(-3)/(-25)?
180
Suppose -5*c = 3*p - 36, 6*c - 4*c + 8 = 2*p. Suppose i - 1 = p. Calculate the smallest common multiple of 18 and i.
72
Suppose 0 = 2*s - 124 - 464. Suppose g = 1039 - s. Let n = g - 16363/22. What is the common denominator of 13/2 and n?
22
Suppose 0 = 6*y - 2*y - 12. Let l be (y + -1)*1/(-1). Calculate the common denominator of (2/(-110))/(l/(-355)) and 83/10.
110
Let c be 6/15 + (-3592)/8430. Let x = c - 38927/5058. What is the common denominator of x and 