 - 32. Let j be m(17). Let b be ((-123)/9)/(-3*j/(-18)). Let g = -31 - b. Calculate the lowest common multiple of g and 2.
10
Let i(j) be the third derivative of -5*j**4/24 + 11*j**3/3 + 67*j**2. Calculate the lowest common multiple of 20 and i(4).
20
Let x = 72 - 69. Let o be (4 - x)/((-2)/110). What is the common denominator of 32/5 and o/8*4/10?
20
Let q = -33/53 - -4336/1431. Calculate the common denominator of 2/((-72)/(-175)) - 3 and q.
108
Suppose 2*w - 1376 = 9*h - 12*h, 949 = 2*h - 5*w. Calculate the least common multiple of h and 11.
462
Let i = -369316807391/116766480 - -1/7784432. Let m = 3164 + i. Find the common denominator of -55/18 and m.
90
Suppose 4*g - 5*g = 4*t - 12, 2*g + 3 = t. What is the common denominator of ((-534)/(-72))/1 - t and 61/15?
60
Let c(k) = 3*k**2 - 63*k + 384. What is the lowest common multiple of c(6) and 14?
798
Suppose 12*r + 4*m + 558 = 11*r, 0 = -r - m - 567. Find the common denominator of -73/96 and (r/(-56) + -7)/(-2).
672
Suppose 3*i - 15 = 3*a, 2*a + 2*i - 9 = -3. Suppose -13 = -3*s + 5*n + 8, -s - 3*n + 21 = 0. Calculate the least common multiple of s and -1 - (a + (-12 - 2)).
84
Let s = 282 + -491. Let p = s - -305. Suppose -3*a = -7*a + p. Calculate the lowest common multiple of 40 and a.
120
Let a(t) = 68*t + 5519. Calculate the smallest common multiple of 10 and a(80).
109590
Suppose 5*a = l - 109, l - 74 = -0*l - 2*a. Suppose -197*i + l = -190*i. What is the least common multiple of i and 92?
276
Let o = 6035 - 5995. What is the smallest common multiple of 14 and o?
280
Let c be -6*53062*9/(-108). Let o = c + -795859/30. What is the common denominator of o and -1 - (88/21 + -1)?
210
Suppose 0 = -2*c, 0*y - 2*y - 2*c + 476 = 0. What is the lowest common multiple of 476 and y?
476
Let n be (-55)/(-22)*154/5. Let l = -57 - 16. Let h = l + n. What is the smallest common multiple of h and 50?
100
Let f = 1 + 1. Suppose -384 = -23*h + 7*h. What is the least common multiple of h*1*1/3 and f?
8
Let t(h) = -35*h - 384. Let r be t(-11). Find the common denominator of (r/((-72)/(-202)))/(3/9) and 109/44.
132
Let n = -593 - -37953/64. Let v = 3946523 - 1262885179/320. Let o = v - n. What is the common denominator of 13 and o?
5
Suppose 71 = 4*u - 5*c, -2*c - 3*c = 3*u - 27. Let v = -198/131 + -1850/4323. Find the common denominator of (u/(-72)*-2)/((-56)/(-42)) and v.
264
Let n = 7 - 5. Suppose n*x - 70 = -128. Let z = 14/339 - -18152/3729. Calculate the common denominator of x and z.
11
Let a = -12/19469 - 2505981/8955740. Calculate the common denominator of a and 23/20.
460
Let o = 4171 - 16709/4. Suppose r = p + 2*p - 107, 3*p = -r + 103. Calculate the common denominator of o and 0/2 + p/(-154).
44
Let i(l) = -5*l - 19. Let v be i(-8). Suppose -v*m = -18*m. Suppose 3*a - 6 = m, 3*o + 3*a - 29 = 7. Calculate the least common multiple of 11 and o.
110
Suppose -r + 0*r + 4 = 3*l, 64 = 5*r + 4*l. Suppose -3*a + 4*w + 545 = 0, -12*w - 764 = -4*a - r*w. What is the smallest common multiple of 136 and a?
1496
Let s = 130 - 40. Let z = -63 + s. Suppose 3*n = -3*v + 21, -3*v - 3*n = -4*v + z. Calculate the lowest common multiple of 18 and v.
36
Suppose 127*f + 37 = 123*f + 149. Suppose -4*s + 176 - 36 = 0. Calculate the least common multiple of f and s.
140
Suppose -5*x + 2770 = 4*q, 22*q - 2818 = 18*q + 3*x. What is the least common multiple of q and 1400?
1400
Calculate the common denominator of (-124)/14*(-8)/(-80) and 61/(-25) - (-2 - -9)/(-14).
350
Calculate the lowest common multiple of 12 and 13 - 75/(70/(-14)).
84
Suppose 15 = 3*i + 4*r - 1, r + 29 = 2*i. Let w be (1 - 1)/(5/(-5)). Suppose w = -9*x + 4*x + 110. Calculate the least common multiple of i and x.
132
Let f(p) = 226*p**2 + 6*p - 5. Let q be f(1). Suppose -q + 151 = -19*l. Calculate the common denominator of -5/19 and l.
19
Suppose f = -f - 3*o - 31, -5*f + 5*o = 15. Let w(j) = -252*j**2 + 322*j - 59. Calculate the lowest common multiple of w(1) and 2/f - (-282)/8.
385
Let z = -74 - -82. Calculate the common denominator of 113/20 and z/((-1120)/(-225)) - 4.
140
Let s = -4405/24 + -161/8. Let u = 209 + s. Let d = 4506 - 35955/8. Calculate the common denominator of d and u.
24
Calculate the least common multiple of 28 and 58160/170 - ((-10)/(-17))/5.
4788
Let w = 2010 - 1833. What is the smallest common multiple of 15 and w?
885
Suppose 5*i + 30 = 0, -575*x + 570*x + 3*i + 2048 = 0. What is the least common multiple of x and 1456?
42224
Calculate the least common multiple of (-12)/(16 + 271271/(-16952)) and 1.
5216
Let h be 5/(440/33) - 2242/(-16). Suppose -2*r + 384 = -5*r - 3*u, 2*u = 8. Let i = h + r. Find the common denominator of -51/2 and i.
2
Let n = -76502 - -5508191/72. Let k = 225521/54 - 8349/2. Find the common denominator of k and n.
216
Let c(b) = b**2 + 16*b - 96. Let a be c(6). Suppose 5*p = -2*v + a, 3*v + 10*p - 5*p = 44. What is the lowest common multiple of 20 and v?
40
Let g be 15/(-12) - 37/1. Let z = -38 - g. Calculate the common denominator of 71/2 and z.
4
Suppose 7*m - 12 = 19*m. Calculate the smallest common multiple of (23 - 31)*(-1 + m/(-2)) and 83.
332
Let y = 1363 - 5387/4. Suppose 0 = -50*c + 59*c - 108. Find the common denominator of (5/(-20) - 295/c)/(-1) and y.
12
Let l(u) = 2*u + u + 6 + 67 - u**2. Suppose -31 = -3*j - 4. What is the smallest common multiple of j and l(10)?
9
Let b(q) = -25*q + 67. Let v be b(3). Let d(w) = -4*w**3 - 2*w**2 - 2*w - 1. What is the least common multiple of d(-2) and ((-630)/28)/((18/v)/3)?
270
Let j be 2 - (-1 + 4/(-4)). Suppose -212 = j*t + 5*q - q, 4*t + 3*q = -208. Calculate the common denominator of (t/5)/(192/(-15)) and -29/10.
320
Let d = 5094 - 4897. What is the least common multiple of 3 and d?
591
Calculate the common denominator of (-15)/(-30) - 10/(-36)*(-2222)/220 and 69/2168.
19512
Let h = 156375 - 156371. Suppose -2*m - 3*m + 20 = 0. Calculate the lowest common multiple of m and h.
4
Suppose b - 12*b = 77. Calculate the common denominator of -1/152 and 6/(-7)*b/(-84)*21.
152
Let k = -9 + 25. Let b = 18 - k. Calculate the common denominator of b/(-12) + (-40)/(-90) and 29/6.
18
Let j = -957529/2313696 + 13/30048. Calculate the common denominator of -13/297 and j.
4158
Suppose 23*q = -12862 - 3698. Let k = 820 + q. What is the smallest common multiple of k and 2?
100
Let l = 194/21 - -1691/42. Let x = 31095001/1602 - 296474/89. Let a = 16075 - x. Find the common denominator of a and l.
18
Suppose 5*b - 7 = 13. Suppose -b*s = 4*u + 162 + 50, 2*u = 2. Let g = s + 89. Calculate the least common multiple of 6 and g.
210
Let h = -23016 + 24699. What is the smallest common multiple of 1224 and h?
13464
Let w = 1447781/16 - 90481. Calculate the common denominator of 2067/540 - 4/(-18) and w.
80
Suppose 7*g = 6*g + 7. Let j(z) = -z**3 + 6*z**2 + 8*z - 12. Let p be j(g). Calculate the common denominator of -71/14 and p/((-270)/267) - (-4)/6.
126
Suppose 0 = -4*f - 3*n - 1171, -147 - 144 = f - n. What is the least common multiple of 60 and -2 + 1/((-2)/f)?
720
Suppose 5*c - 1420 = c. Suppose -833 = -18*p + c. What is the lowest common multiple of p and 18?
198
Let b(n) = n + 2. Let w = 1658 + -1631. Suppose -w = 425*p - 428*p. What is the smallest common multiple of b(0) and p?
18
Let h(q) = -q**3 - 10*q**2 + 7. Let n(t) = 47*t**2 + 157*t + 20. What is the least common multiple of n(-4) and h(-10)?
1008
Let f(g) = -42*g + 27. Let n be f(-15). Suppose 4*c + 165 = l - 12, -4*l - c = -n. Calculate the common denominator of -54/5 and 3 - 11/(l/126).
5
Suppose -5*x - 102 = -x - 626. What is the lowest common multiple of x and 393?
393
Let p be (1 + -9)/4 - 376. What is the common denominator of 8*(-3)/p*(-15)/2 and 5/84?
84
Suppose -3*p - 124*j + 267 = -123*j, 0 = 2*j + 6. What is the smallest common multiple of 36 and p?
180
Suppose 1937 = -22*k + 14873. Calculate the lowest common multiple of 154 and k.
6468
Let g = 25/3484 + -43957/1027780. Calculate the common denominator of g and -151/354.
1770
Calculate the smallest common multiple of 93 and 5038605/3190 + (3/(-2))/(-1).
1581
Let v be (-286)/(-4)*15/60. Let h be 9/(-36) - 26/(-16). Let g = h - v. What is the common denominator of 25/12 and g?
12
Let v = 5958 - 5956. What is the smallest common multiple of v and 843?
16