ominator of 93/88 and p.
792
Let s = 1155 - 1159. Let d = 4 + -2. Calculate the lowest common multiple of d and (86 - 88) + (2/(-2) - s).
2
Let w(m) = -m - 1. Let v(z) = -4*z**2 - 9*z - 2. Let y(k) = -v(k) + 6*w(k). Let g = 3 - 1. Calculate the least common multiple of 16 and y(g).
144
Let l = 9286 - 1476. What is the common denominator of 1*(l/(-20))/(-11) and 89/46?
46
Let w = -44 - -68. Suppose -w = -6*h + 210. Find the common denominator of (-4)/(-8)*(1 - (-95)/(-7)) and h.
7
Suppose -4*l - 3*a + 4 = 5, 0 = 3*a + 9. Suppose 0*p + 3*p - 72 = 0. What is the lowest common multiple of (-4)/(32/(-15) + l*1) and p?
120
Let o = 847/12 - 391/6. Calculate the common denominator of 1/68 and o.
204
Let a be (4*(-4)/14)/(70/(-1225)). Suppose -a*b = -25*b + 120. Let v = 2 - -1. Calculate the smallest common multiple of v and b.
24
Let n = 1966413/252574 + 4/18041. Find the common denominator of n and -61/354.
2478
Calculate the common denominator of -4 - (-5 - (-10)/540) and 13/3.
54
Let l = 57/82 + 4139/2952. Calculate the common denominator of 35/976 and l.
8784
Let y(r) = -r**2 - 8*r + 23. Suppose 35 = -5*a + 3*c, 0 = -4*a + 5*c - 36 + 8. Calculate the least common multiple of 25 and y(a).
150
Suppose -10 = -2*n - 4. Find the common denominator of n/(-14)*1235/39 and (-27)/2*(-6 + (-245)/(-40)).
112
Let o be 3/(-3) - (-4)/(-8)*-10. Let k = 7722 + -162101/21. What is the common denominator of k and o/(-14) + (-7002)/4158?
231
Let p(s) = 213913140*s**2 + 3*s. Let a be p(-2). Let c = a - 821426637247/960. Let k = c + 2908/15. What is the common denominator of -13/16 and k?
64
Let c be 2733/45*464/(-720). Let i = -922/25 - c. What is the common denominator of 13/45 and i?
135
Let b be (-308838)/(-232)*1*-4. Let h = b + 5326. Let g = 143336/35035 - 1/3185. Calculate the common denominator of g and h.
319
Let t be 12*(1 - (-20)/(-8))/(-3). Let n(r) = r**2 - 3*r. What is the least common multiple of (9/t)/(21/28) and n(5)?
10
What is the common denominator of -113/238 and (-8 - -9) + 1100/60?
714
Let w(g) = -21*g + 6. Let a be w(0). Suppose -a = -c + 3*o + 28, -c = -o - 30. Calculate the smallest common multiple of c and 10.
140
Suppose 19*m - 20*m - 3*w = -591, m - 609 = 3*w. Calculate the smallest common multiple of m and 60.
600
Let b = 3286582392589/4296768 + -52778086/69. Let g = b - -1/8896. What is the common denominator of g and -11/49?
196
Let u be (-8403)/(-2)*(-2)/(-3). Let i = 8374442 - 167432801/20. Let d = u - i. Calculate the common denominator of d and 169/294.
2940
Suppose 5*a - 337 = -177. Suppose 0*k = -4*k + 8. Suppose a = k*l - 0*l. What is the lowest common multiple of l and 16?
16
Suppose 4*j - 24 = 24. Let g = -40 - -42. Suppose 3*b = g*n - 55, -4*n + 10 = 5*b - 45. What is the smallest common multiple of j and n?
60
Let k be 2 + -3*(-2)/6. Find the common denominator of 92/8 + k/(-9) and 220881/(-46665)*(24/(-14) - -1).
42
Suppose -417 = 14*a - 1243. What is the smallest common multiple of a and 30/4*(-2)/(-3)?
295
Suppose 0 = -3*h + 4 + 26. Let n = -20 - -26. What is the smallest common multiple of 0 - (n + -2 - 10) and h?
30
Let b(c) = 4*c + 10. Let q(p) = p**3 + 20*p**2 - 5*p - 92. Calculate the lowest common multiple of q(-20) and b(10).
200
Let i be 5/66*(-8 + -17678). Let b = i - -1340. Find the common denominator of -29/99 and b.
99
Calculate the common denominator of 2865/420 + -13 + (0 - (-3)/4) and 13/411.
2877
Suppose -f - f + 5*g = -16862, 0 = f + 2*g - 8449. Let d = f + -168767/20. Let z = -2818/5 - -566. Calculate the common denominator of d and z.
20
Let t = -31 + 67. Let c = -13646 + 13673. Calculate the least common multiple of c and t.
108
Let i be (5 + -3)/((-2)/23289). Let m = -16585/6 - -2776. Find the common denominator of i/(-546) + (-4)/26 and m.
6
Suppose -3*t = 3*z - 5739, -z = 5*z - 3*t - 11487. What is the smallest common multiple of 348 and z?
3828
Suppose -5*g + 79 = -2*h + 285, 5*h = 5*g + 500. What is the smallest common multiple of h and 392?
392
Let n(s) = s**3 + 7*s**2 - 14*s + 40. Let d be n(-9). What is the common denominator of d + (1644/(-105))/4 and 87/40?
280
Let p(q) = 60*q - 9. Let h be p(-16). Let r = -5777/6 - h. Let m = 5/69 - -5401/690. Find the common denominator of r and m.
30
Let h(x) = -x**2 + 11*x - 7. Let p be h(12). Let n = 68 + p. Suppose 8*v - v - n = 0. What is the lowest common multiple of 10 and v?
70
Let c = 9761/4 - 7294/3. Find the common denominator of c and 1 - (-1 - (-50)/48).
24
Let z(i) = 19*i**3 + 5*i**2 - 12*i + 8. Calculate the lowest common multiple of 73 and z(1).
1460
Suppose -95*z + 62*z + 17952 = 0. What is the least common multiple of 44 and z?
5984
Let d(r) = 3*r + 7. Let n be d(-1). Let w(l) = l**3 - 3*l**2 - 5*l + 8. What is the smallest common multiple of w(n) and 26?
52
Suppose 8*h - 142256 + 45416 = 0. Let z = h + -60201/5. Let k = z + -2153/35. Find the common denominator of 37/8 and k.
56
Let j = -245 + 275. Suppose u - 4*u = -j. Let q(i) = 18*i**2 + i + 1. What is the lowest common multiple of u and q(-1)?
90
Let i(f) = -567*f + 5745. What is the least common multiple of i(7) and 16?
1776
Let o = 14 + -7. Find the common denominator of 82*((-7)/12)/o and (33/18 + -1)*(-123)/40.
48
Suppose 2*u - 4*o - 525 - 451 = 0, 3*u - 1518 = -3*o. Calculate the smallest common multiple of u and 235.
23500
Let y be -2 + -3 + 3 + 4. Calculate the smallest common multiple of 4 and (y + 2 + 3)/(1 + 0).
28
Suppose 0 = r + 2*f + 2*f - 9, 2*r - f = 0. What is the common denominator of (-6)/(-5)*22/(-16) and 2/12*(-120 + r)?
60
Let v = -729/20 + 478/15. What is the common denominator of -76/2181 and v?
8724
Let g be 1*(40/3 + (-24)/(-36)). What is the common denominator of 4/g + 221/1456 and 67/68?
272
Let y = -16354 + 16477. Calculate the smallest common multiple of 12 and y.
492
Calculate the common denominator of 17/377 and (28/(-580))/((-3)/(171/(-78))).
3770
Suppose -8 = -2*i + i. Suppose 5*k + 2304 = i*k. What is the smallest common multiple of 10 and k?
3840
Let i = 10999 - 66145/6. Let j be 127139/(-4)*(-5)/(-26180). Let g = j - 3/2992. What is the common denominator of g and i?
42
Let f be (3 - (-52)/(-20))/((-19)/(-4560)). Calculate the common denominator of 73/114 and ((-312)/60)/(f/(-55)).
912
Suppose -7*j = -10*j - 5*q + 58, -45 = -2*j + 3*q. Calculate the least common multiple of 186 and j.
1302
Let q = 6 + 0. Suppose -c + q = -9. Suppose -9 - c = -2*l. What is the smallest common multiple of l and 8?
24
Let i = -69469/20 + 3469. Let p be 10/16*405935/57. Let j = -4448 + p. Find the common denominator of i and j.
120
Suppose -15 = -y - 2*q - 2*q, 2*y + 22 = 5*q. Let s = -29415/2 + 14698. What is the common denominator of s and (-54)/((-11)/(-3) + y)?
4
Let u = -15902 - -524707/33. Let y = 15/89 + -2585/2136. Find the common denominator of u and y.
264
Suppose 0 = -x - 5*v + 3, -2*x = 2*v - 7 - 7. What is the lowest common multiple of (7 - -11) + (1 - -1) and (-76)/(-10) - x/(-20)?
40
Suppose 525*u - 522*u = -6, 2*k + u = 558. What is the least common multiple of k and 120?
840
Let q = -39 + 41. Suppose i + i - 3*w = -1616, q*w = 2*i + 1614. What is the lowest common multiple of 136 and 4/36 + i/(-45)?
1224
Suppose 4*g + 182 = 6*g. Let n = g + -101. Calculate the lowest common multiple of 36/(-45) - 108/n and 1.
10
Let s(w) = -28 + 8*w**2 - 3*w**2 + w**2 - 10*w - 5*w**2. Calculate the least common multiple of s(14) and 26.
364
What is the common denominator of 71483/(-26832) + 424/159 and -31/22?
98384
Let v be 5/15 - 6/((-36)/(-27854)). Calculate the least common multiple of 216 and v/(-77) - (-1 + 27/21).
1080
Suppose 26*l - 8*l - 36 = 0. Suppose 7*r + l = 2*i + 12*r, -5*r = -5*i + 40. Calculate the lowest common multiple of 54 and i.
54
Let d(j) be the first derivative of -3*j**2/2 + 5*j + 29. Suppose 3*p = 37 - 1. Calculate the smallest common multiple of p and d(-19).
372
Let w(h) = -h**3 + h**2 + 11*h + 9. Calculate the lowest common multiple of w(-9) and 648.
6480
Find the common denominator of ((-5)/16)/(16*36/1632) and -87/56.
672
Suppose -2*g - g + 5*b + 18 = 0, -2*b = 0. Suppose 177 = g*z + 57. What is the least common multiple of z and 84?
420
Let w be 12 + -8 + 4*-1. Suppose w = -5*j + 10*j - 60. Suppose -z - z = -j. What is the least comm