32 = t. Calculate the least common multiple of y and t.
12
Let a = 76 + -72. Suppose -p + 6*p - 2*o - 58 = 0, -a*o = p + 6. What is the least common multiple of p and (-4)/(-12)*4*3?
20
Let z = 315/41 - 4361/82. What is the common denominator of z and ((31 + 1)/(-2))/11?
22
Let p = -180 - -186. Suppose f + p = 8. What is the lowest common multiple of 81 and f?
162
Let n = -154 - -304. Let t(q) = q**2 + 76*q + 313. Calculate the least common multiple of n and t(-74).
1650
Let y(j) be the third derivative of -5*j**4/12 - 62*j**3/3 - 163*j**2. What is the least common multiple of y(-21) and 22?
946
Suppose 47*p - 7955 = -33*p + 42445. What is the lowest common multiple of p and 154?
6930
Let v be ((-3)/2)/((-112)/(-172606)). Let s be (-5)/((-10)/(-9252))*1/(-2). Let i = v + s. What is the common denominator of i and 67/38?
304
Let w = 5767 - 24726/5. Let y = -827 + w. Find the common denominator of 21/10 and y.
10
Let d = 97930/13 - 7535. What is the common denominator of -97/4 and d?
52
Let c(b) = -6*b**2 - 59*b + 25. Calculate the lowest common multiple of 5 and c(-10).
15
Let n = 1832495/38 + -48229. Let y = n - -3275/228. Calculate the common denominator of 57/22 and y.
132
Suppose 50716 = -4*j - 37*j + 201596. Calculate the smallest common multiple of j and 2576.
25760
Let g = -842/237 - -1684349/471630. Calculate the common denominator of -63/995 and g.
1990
Let s = 29 - 21. Let w be (-664)/(-56) - 5/(-35). Suppose s = -4*a + w. What is the lowest common multiple of 6 and a?
6
Let r(i) = -10*i + 133. Let d = -193 + 203. What is the least common multiple of 12 and r(d)?
132
Suppose -84 = -y + 7*a - 4*a, 157 = 2*y + 5*a. What is the lowest common multiple of 54 and y?
162
Suppose 2*n - 2*w - 3 = -17, -5*n - 27 = -w. Calculate the common denominator of (-3891)/1950*n - 9 and 7/30.
390
Calculate the common denominator of ((-8)/288*-345)/(-3) and 23/216.
216
Let l = -16028216/265 + 60484. Let a = l + -2773/1060. Let u = -538/25 - -10183/400. Calculate the common denominator of a and u.
80
Calculate the least common multiple of 224 and (-5 - 4/(-1))*-4.
224
Suppose -20 = -4*q, -4*m - 21 = -7*q + 2*q. Suppose -5*n + 3*o = 5*o - 8, -5*o - 5 = 0. Calculate the lowest common multiple of n and m.
2
Suppose -w = -3*w - 4. Let u be (10 - (0 - -3)) + w. What is the common denominator of 83/8 and u/10 - (-49)/5?
40
Let k = 15611 - 140459/9. What is the common denominator of k and -133/1326?
3978
Let h = -371329/125544 + -3/5231. Calculate the common denominator of (-3)/2 + 65/4 and h.
24
Let i = 18726 + -1198453/64. What is the common denominator of 81/3200 and i?
3200
Let x = 14363414/177 - 81149. Let s = 125 + -767/6. Calculate the common denominator of x and s.
354
Suppose -5*v + 1890 = -5*h, 2*v + 4*h = 7*v - 1882. What is the least common multiple of v and 814?
4070
Suppose 4*c = -4*l + 105 + 87, -2*c + 5*l = -89. Let v be (-17)/(-2) - 1/(-2). Let n = c - v. Calculate the lowest common multiple of 14 and n.
266
Let g be (-1666)/1980 + (-72)/(-198). Let c = g - -37/10. Calculate the common denominator of -42 and c.
9
Let u = -5272 - -11626. Let c = u - 101575/16. Let g = 13015/4 - 3277. Find the common denominator of c and g.
16
Let q be (10/40)/((-5)/(-280)). Suppose 4*y + 10 = 4*s - 3*s, 4 = 2*y. Calculate the common denominator of 74/21 and ((-113)/q)/(s/21).
84
Suppose 0 = -8*y + 12*y + 4, 3*d - 9 = -3*y. Let t(m) = -m**3 + 5*m**2 + m + 1. What is the smallest common multiple of t(d) and 63?
63
Suppose -5*t + 3*t = -5*t. Suppose t = -11*z - z + 156. Calculate the least common multiple of z and 8.
104
Suppose -213 - 195 = -4*w. Let z = 242 - w. What is the common denominator of 103/20 and (-22)/55 - (-586)/z?
140
Let i = -41458 + 4352998/105. Let c = -235/18 - -2834/225. Find the common denominator of i and c.
1050
Let y(h) = -h**3 - 6*h**2 - 2*h + 17. Let o be y(-5). Suppose 4*s + 372 = 5*m, s + 369 = 5*m - o*s. Calculate the smallest common multiple of m and 3.
72
Let w = -6803 - -17785. What is the lowest common multiple of 8 and w?
43928
Let r = -934 - -1714. What is the common denominator of -16/27 and 10/4 + 2431/r*-2?
135
Let u = -132 - -142. Suppose 8*r + 2 = 4*k + u*r, -k + r = -2. Calculate the least common multiple of 102 and k.
102
Suppose 0 = 2*h + 2*g - 92, -40 + 38 = g. What is the least common multiple of 1248 and h?
1248
Let p be 6089/4 - 55/44. What is the common denominator of p/(-260) - (-1)/5 and (284/42)/((-4)/(-3))?
140
Suppose 57 - 81 = -2*z. Suppose -b - 5*m + 4 = 0, 0 = 19*b - 16*b - 3*m - z. Let a = 150 - 32. What is the lowest common multiple of b and a?
236
Let j be 3900/12*(5 + -3)/2. Find the common denominator of 62/33 and 26/j + 6188/(-3600).
396
Let g be (4*(-18)/(-4) + 0)*1. What is the common denominator of (-112)/g*(-48)/(-32) and -74/3?
3
Let m be (-37458)/(-189) + 4/1. Let u = m - 202. What is the common denominator of (-203)/(-60) + 3/12 and u?
210
Suppose -l = -5*k - 2252, 446*k + 6 = 449*k. Calculate the smallest common multiple of 52 and l.
4524
Let k = -1380 + 10991/8. What is the common denominator of k and (-189)/(-102) + 2/(-4)?
136
Suppose 3*u - 2*p + 4*p - 16 = 0, 2*u + 11 = 3*p. Let f be u/(14/(-6) - -3). Calculate the smallest common multiple of 27 and 472/12 + -3 + (-1)/f.
108
Let b = 149375/8 + -18719. Let h = -1475/32 - b. Calculate the common denominator of -73/40 and h.
160
Suppose 65*l + 38833 - 247490 = 5648. What is the least common multiple of l and 1570?
32970
What is the lowest common multiple of ((-15)/(-20))/((-32)/(-11008)) and 688?
2064
Let s = -55/15498495967 + -4908331501341329848/12383298277633. Let b = s + 396367. Let z = -126881/52734 - b. What is the common denominator of z and 55/4?
132
Let z(j) = 87*j**2 + 73*j + 176. Calculate the smallest common multiple of z(7) and 3850.
34650
Let v be 741251/504 - 6/48. Let t = v - 1471. Find the common denominator of ((-42)/(-32))/(5/(-12)) and t.
180
Suppose -i + 2*u + 28 = 2*i, -u + 6 = i. Suppose 0 = i*g + 25*g - 594. What is the smallest common multiple of g and 48?
144
Calculate the common denominator of -19/6 and (2/(-2) + 727584/728805)/(30/225).
26502
Let w be 5/30 - (-3644523394772684)/(-223848). Let v = 16281241714 + w. Let n = -1/6218 - v. Find the common denominator of n and 29/21.
126
Find the common denominator of 14/9 and 501/(-744)*(10 + 416/(-42)).
7812
Suppose -2*b + 0*b = -5*z + 23, 0 = -2*b - 8. Suppose -2*l = -87 + 83. Suppose 4 = -l*p + 10. Calculate the lowest common multiple of z and p.
3
What is the common denominator of ((-284)/76 + 1)*10/200 and -39/475?
475
Calculate the least common multiple of 6 and -38*54/144*-52.
1482
Let k = -1798/15 - -30661/255. What is the common denominator of -77/255 and k?
255
Let d = 6094 - 6086. What is the lowest common multiple of d and 2242?
8968
Find the common denominator of 71/208 and (16/(-200) - (-67918)/(-10400)) + 7.
208
Let j(s) = 1064*s - 41. Calculate the lowest common multiple of j(1) and 30.
10230
Suppose 5*k - n + 9 = 6*k, 4*k = -n + 27. Calculate the common denominator of 486/(-296) - 1/(-4) and (k/4)/(12012/(-994) + 12).
148
Suppose -86*d + 84*d + i = -6, -3*d + 11 = -2*i. Calculate the lowest common multiple of 170 and d.
170
Let c = 190/3 - 73. Let j be (129 - 128) + 2156/1098. Let y = j + -52/61. What is the common denominator of c and y?
9
Suppose -37*w = -35*w + 8. Let h = 7897/8 + -1995/2. What is the common denominator of h and ((-4)/(-64))/(w/(-228))?
16
Suppose 38*t = 45*t - 966. Calculate the common denominator of 12/t + 914/69 and -29/10.
30
Let d = 135624 - 455018532/3355. Find the common denominator of d and 23/22.
6710
Suppose 0 = -7*x - 562 + 6946. Suppose -8*u = 16*u - x. Calculate the least common multiple of 6 and u.
114
Let l = 4420 - 3393. What is the smallest common multiple of 19 and l?
19513
Suppose 4*x - 48 = 4*f, -3*f - 5*x - 41 = -3*x. Let s = f - -11. Calculate the common denominator of (-430)/(-200) + (2 - s) and -93/34.
340
Let q = 36/539 - -41717/12936. Find the common denominator of q and 101/688.
2064
Let j(g) = -g**2 + 29*g + 170. Let v be j(32). Let n = v + -59. What is the smallest common multiple of 48 and n?
240
Suppose 20*u = 14*u + 240. What is the common denominator of -29/60 and 2*99/u - (-2 - -4)?
60
Suppose 367 + 83