1 + 61/(40/r + 1).
22
Suppose 0 = -5*n + 7 + 58. Let c = n - 6. Calculate the common denominator of (c/(-3))/((-3)/(-12)) and -69/10.
30
Suppose -320 = 101*t - 109*t. What is the lowest common multiple of t and 20?
40
Let y = 235 - 226. Calculate the least common multiple of 188 and y.
1692
Let m = 53 + -93. Let d = -26 - m. What is the lowest common multiple of d and 14?
14
Let f(g) = 43*g**2 - 14*g - 20. What is the smallest common multiple of f(-2) and 12?
180
Suppose 167 = 5*d + 47. Let q(g) = g**2 - g - 2. Calculate the smallest common multiple of q(5) and d.
72
What is the common denominator of (-44)/9 - 4/(-6) and (138/(-4) - 0)*24/72?
18
Let u(r) = 7*r**3 - 2*r - 1. Suppose 0 = 3*n + 3*a, 4 = 4*n - a - 6. Let o be u(n). What is the common denominator of 39/7 and (o/(-60))/(8/60)?
56
Let t be ((-2314)/(-65))/((-4)/(-10)). Find the common denominator of t/3*(-6)/(-20) and 59/3.
30
Let b = -522 - -782. What is the least common multiple of 50 and b?
1300
Calculate the common denominator of (4/10)/((-2700)/(-44625)) and 129/70.
630
Let o be 872/(-3836) + (-2)/(-7) + 0. Let w be (-4594)/(-2192)*(3 - 1). Let h = w + o. Calculate the common denominator of h and 101/46.
92
Let a be (25/(-75))/(274/51). Let s = a + 4666/1233. What is the common denominator of s and 59/78?
234
Let v = -8 - -9. What is the smallest common multiple of ((-270)/45)/(-3 - -1) and v?
3
Let y(p) = 9*p + 1. Let d be y(1). What is the least common multiple of 6 and ((-12)/12)/((-1)/d)?
30
Let x(o) = -o**2 - 6*o - 1. Let g(i) = -2*i**2 + 9*i - 9. Let z be g(4). What is the lowest common multiple of x(z) and 20?
20
Suppose 0 = g - 3*w - 11, 2*w - 2 = -g - 3*g. Suppose -2*j + 1 - 4 = -b, 5*b = g*j + 7. Let d = 1 + b. What is the lowest common multiple of 5 and d?
10
Let a(r) = -r**3 - 7*r**2 + 4. Let k be a(-7). Suppose -i - 21 = -k*i. What is the lowest common multiple of -2*(-1 + 8)*10/(-20) and i?
7
Calculate the common denominator of -149/36 and (3/36)/((-4*12)/(-4)).
144
Suppose 0 = -2*f - 6. Let i = -171643/20 + 8585. Calculate the common denominator of i and 1/f - 26/(-60).
20
Let b = -151 + 155. What is the smallest common multiple of 22 and b?
44
Suppose -4*j - 6 = -8*h + 3*h, -5*h = j + 14. Let p = -34495/9 + 3840. Find the common denominator of (6/132)/(h/(-164)) and p.
99
Let a = 2/4911 + 181699/19644. Find the common denominator of a and 4/181.
724
Let s = -31 + 31. Let w(b) = b**2 + 2*b + 5. What is the lowest common multiple of w(s) and 6?
30
Find the common denominator of 29 + -40 + 1791/165 and -64/55.
55
What is the common denominator of (-2)/(-12)*42/(-15) and ((-49)/(-8) - -1)/(2835/1260)?
30
Let i be (-1 - 9/18)/(3/8). Calculate the common denominator of 52/33 and -6*(i/(-14) + (-60)/140).
231
Let h = 57643/36828 + 5/1674. Find the common denominator of h and ((-16)/((-1360)/187))/((-8)/1).
440
Suppose -4*a + 71 = -1. Calculate the smallest common multiple of a and 27.
54
Let n = 2837 - 127748/45. Calculate the common denominator of -19/27 and n.
135
Suppose -k = 2*o - 15, -3*k - 2 = -2*o - 87. Calculate the least common multiple of k and 30.
150
Let r(z) = z**2 + z + 1. Let u be (72/30)/((-3)/(-10)). Let q be ((-2)/u)/(4/16). Calculate the lowest common multiple of r(q) and 6.
6
Suppose -i + 8*t + 6 = 10*t, 0 = -5*i + 4*t + 72. Calculate the smallest common multiple of i and 24.
24
Let r = 266663/447534 + -1/9522. Find the common denominator of r and 85/2.
94
Let a(p) = -p**2 - 9*p + 1. Let u(x) = 6*x**2 + 46*x - 5. Let h(g) = -11*a(g) - 2*u(g). What is the least common multiple of 4 + 0 + 1 + 1 and h(3)?
66
Let k = 146 - 151. Let d = 15154 - 606123/40. What is the common denominator of 2 - k/(-2) - 162/120 and d?
40
Let b = 368129 - 153141591/416. What is the common denominator of b and -77/20?
2080
Let s = 178 - 134. What is the smallest common multiple of s and 4/16 + 63/4?
176
Suppose -15 = -5*y, -2*y + 3*y = -3*n + 21. Let d = -333 - -3660/11. Find the common denominator of (-66)/n*1/(-7) and d.
77
Let z be 2/5 - (-1339)/65. What is the common denominator of (-43)/5 - (-2 - -1) and (54/z)/(-2 - 20/(-12))?
35
Calculate the common denominator of ((-8)/(-120))/(-6 + 17928/3030) and 167/42.
126
Let h(t) = -10*t**2 + 2*t - 2*t**2 - t + 6 + t**3 - 6*t. Let o be h(6). Find the common denominator of 137/12 and (0 - -2)*730/o.
12
Suppose m + 7*k = 4*k - 2, 5*k - 10 = 0. Suppose -l - 2*l + 54 = 0. Calculate the lowest common multiple of 6/30*m*(-50)/4 and l.
180
Suppose -48*a + 18 = -42*a. What is the lowest common multiple of (-25)/(-3) + (-4)/12 and a?
24
What is the common denominator of -61/133 and (810/36 + -15)*(-20)/1311?
3059
Let d = -421 + 442. What is the smallest common multiple of d and 63?
63
Suppose -3*a + 72 = -0*a. Suppose a = 5*s + 149. What is the common denominator of 7/20*s/20 and 45/16?
16
Let u be ((-1547)/(-52))/((-2)/(-8)). Suppose -q = -3*x + 178, -u = -4*x - 3*q + 127. Calculate the lowest common multiple of 16 and x.
240
Let n = 557621/48 + -11618. Find the common denominator of n and 9/2.
48
What is the common denominator of -45/4 and (-18)/170*400/736?
1564
Let i be (3523/(-9))/(4/(8/(-243))). Let u = i + 1/2187. Calculate the common denominator of -53/30 and u.
90
Calculate the smallest common multiple of (2 - 15/10)*4 and 50.
50
Let t = 225418322/871 + -258804. Find the common denominator of 73/10 and t.
8710
Let f = 12 + 4. What is the lowest common multiple of 10 and f?
80
Suppose -3*c - 1 + 32 = w, -4*c = -3*w - 37. Let g = 14 - -6. What is the least common multiple of g and c?
20
Let k(q) = -q - 4. Let f be k(11). Let t = -3 + f. Calculate the common denominator of -31/6 and t.
6
Let d = 155 - 133. Calculate the lowest common multiple of 3 and d.
66
Let v = 21/5 + 191/20. Let b = -15 + 16. Find the common denominator of (b*(-498)/4)/(-15) and v.
20
Suppose -4*y - 59 + 731 = 0. Suppose 0 = -c + 8*c - y. Calculate the least common multiple of c and 12.
24
Suppose -j + 5 - 16 = 0. Let u(t) = -4*t - 3. Calculate the least common multiple of u(j) and 4.
164
Let u(m) = 7*m**2 + 4*m + 2. Let c be u(-1). Suppose r + 10 = -5*w + 40, 0 = 4*w - 5*r + c. What is the smallest common multiple of 2 and w?
10
Calculate the common denominator of -48/7 and (1 - 35/28)/((-1)/114).
14
Suppose 0 = -5*w - 5, -5*f = -2*f + w - 92. Suppose -3*x + 23 = 2*x + 4*c, 0 = -5*c - 15. What is the least common multiple of x and f?
217
Suppose 6 = 2*j, 4*u - 5*j = -u + 15. Suppose -5*z - 55 = -3*t, -z - 95 = -5*t + 4*z. Calculate the smallest common multiple of t and u.
60
Calculate the smallest common multiple of -3*(-3)/(-18)*-96 and 16.
48
Suppose j = -4*k - 9 - 7, 0 = -3*j - 5*k - 27. Calculate the common denominator of (-35)/(-36) + 1/j and 120/50 - (-2)/(-8).
180
Let r(p) = p + 41. Let o be r(-7). Find the common denominator of (-3)/2 + 5 + -2 + o and 127/6.
6
Suppose 4*t - 5*t = 3*k - 33, -2*k - 5*t = -35. Suppose 66*c - 202 - 334 = 58. What is the least common multiple of c and k?
90
Suppose -3*o - 11 + 5 = 0. Find the common denominator of 7/6 and (-664)/255 - o/15.
102
Let g = 12257 + -220571/18. Find the common denominator of (3/48)/((-6)/584) and g.
36
Let y = 93490 + -11405691/122. Let z = -5225/12 + 436. Find the common denominator of y and z.
732
Suppose 5*v - 110 = u, -5*v - u = -6*v + 22. Suppose 5*t - 44 = 4*t. Suppose 2*g - t = -4*q + g, -q - g = -8. Calculate the lowest common multiple of q and v.
132
Let b = -5438 - -957031/176. Calculate the common denominator of b and -125/144.
1584
Let o be (-2 - -1)*(-48)/(-24). Find the common denominator of 806/(-28) - o/7 and 46/(-40) - -1*2.
20
Let d = -2 + 9. Let k = -11 + d. What is the common denominator of (k/10)/(8/670) and 45/16?
16
Calculate the common denominator of (12/(-9))/(-1) + 20/180 and -58/3.
9
Suppose 53*z + 0 = 106. Calculate the lowest common multiple of 8 and z.
8
Let c(w) = 3*w**2 + 2*w - 3. Let s(q) be the third derivative of q**5/60 - q**4/8 + q**3 + 24*q**2. What is the least common multiple of c(-3) and s(5)?
144
Let i(g) be the third derivative of g**5/30 + g**4/24 + 2*g**2. Let c be i(1). Suppose 5 - c = h. What is the lowest common multiple of 10 and h?
10
Suppose 4*q - c = 4*c + 35, -50 = -4*q + 2*c. Calculate the smallest common multiple of 70 and q.
210
Let o 