. What is the common denominator of 12/(-4)*s/(-486) and 45/22?
594
Let u(d) = 852*d + 4 - 853*d + 15. Let v = 19 + -13. What is the least common multiple of u(5) and v?
42
Find the common denominator of 166/4*22/616 and 37/118.
3304
Suppose -3*r = -25 + 151. Calculate the common denominator of r/32 + 4/16 and 465/(-12)*1*5/(-20) - 4.
16
Let y = 230 - 230. Suppose 4*s + 2*z - 26 = y, 2*s - z = z + 10. What is the least common multiple of 3 and s?
6
Suppose -4*r - 1 + 11 = -n, -r + 3*n = 3. Let b = r + 9. What is the smallest common multiple of b and 4?
12
Suppose 1936*h = 1949*h - 8645. What is the smallest common multiple of 70 and h?
1330
Let p(m) = -m**3 - 4*m - 6. Let j = 28 + -31. Let c(o) = -o**3 - 4*o**2 - 5*o - 11. Calculate the least common multiple of p(j) and c(-5).
429
Let q = -3143/4 + 37699/48. Let h = -4651/19290 - -5/643. Calculate the common denominator of h and q.
240
Suppose y - d = 825, 261*d = 256*d - 45. Calculate the least common multiple of y and 680.
4080
Suppose -148 = 4*f - 2*u, 3*u = -3*f + u - 118. Let h = f - -186. Find the common denominator of 55/6 and ((-4)/(-108))/(4/h).
54
Let a be ((-146895)/20)/((-75)/(-10)). Let f = a - -981. Let j = -3167/590 - -4/59. Find the common denominator of j and f.
10
Suppose -5*t - 2*b - 188 = 0, b - 172 = 3*t - 57. Find the common denominator of t and 74/1653.
1653
Suppose -2*j + 6 = 6*a - 5*a, 2*j - 3*a - 6 = 0. Calculate the lowest common multiple of j and 193.
579
Find the common denominator of 178/(-89) - (-3333)/1548 and 87/14.
3612
What is the common denominator of (94/108)/(3*(-4)/36) and (-42)/(-40) - (560/(-30))/(-8)?
180
Let f = 413 + -4711. Let d = 60217/14 + f. Calculate the common denominator of -59/32 and d.
224
Suppose -194*q - 440 = -5678. What is the smallest common multiple of q and 3?
27
Let a(t) = t**3 + t + 46. Let r be a(0). What is the common denominator of (-17)/(425/140)*(-52)/(-32) and r/(-16)*(-4)/(-6)?
60
Let c be -8*((-21)/12)/7. Suppose 2*w + 2*k + c = 0, 3*w - 2*k + 23 = -0*w. Calculate the lowest common multiple of 4 and (-395)/(-25) + (-1)/w.
16
Let w be ((-2)/6)/(10/(-16545)). Let s = w - 589. What is the common denominator of s and 3 + (-21)/6 + 540/(-729)?
54
Let l = -83533/10 + 8361. What is the common denominator of l and 73/84?
420
Suppose -6353 = -52*r + 12627. Calculate the smallest common multiple of 438 and r.
2190
Let h = 8247 - 7695. Calculate the smallest common multiple of h and 552.
552
Let n = -158 + 146. Find the common denominator of (-73)/n*(-5)/(200/(-16)) and 101/60.
60
Let h be 1 - ((-9465)/(-27))/(-5). Let j = 70 - h. Find the common denominator of (-4)/10 + (1724/(-40) - 0) and j.
18
Let x(t) = -t**3 - 19*t**2 + 19*t - 24. Let d be x(-20). What is the lowest common multiple of (d - -6)/(12/12) and 220?
220
Let m(i) = -22*i**3 + i**2 + i. Calculate the lowest common multiple of (-48)/1040*-13 - (-2)/((-20)/(-94)) and m(-1).
110
Let h = -1471/10 - -575/4. Calculate the common denominator of 81/(-60)*(-1)/((-12)/15) and h.
80
Let v = 737 + -725. Suppose 3*h - p - 35 = h, 2*h = 3*p + 33. Calculate the smallest common multiple of v and h.
36
Let d be (-4100)/75*(-4 - -1). What is the lowest common multiple of (d + (-3 - 3))*1 and 16?
1264
Suppose -x + 1851 + 2982 = -2*p, -3*x = -p - 14489. Calculate the least common multiple of 1756 and x.
19316
Let g = -458 + 612. Let w = 760 + -738. What is the least common multiple of w and g?
154
Suppose 0 = 11*d - 24 + 2. Let r = -583 - -4647/8. What is the common denominator of r and (d + (-65)/15)/(8/3)?
8
Suppose n - 147 = -b, b + 677 - 74 = 4*n. What is the least common multiple of n and 1890?
9450
Suppose 0*x - 5*x + 20 = 0. Calculate the common denominator of 2/x - (-44)/(-10) and (21/490*133)/(-9*8/60).
20
Let t = 374 + -74053/198. Let z = 457/990 - t. Let q = -3/10 + z. What is the common denominator of -3/23 and q?
138
Let v(h) = h + 16. Let q be v(-12). Suppose -2*k + q*k = 4*k. Calculate the smallest common multiple of ((-4)/(-8) - k)*-4 - -36 and 12.
204
Let v = -38255/33 - -1161. Let p = -24452 - -293335/12. Calculate the common denominator of v and p.
132
Let z(p) = -212*p**2 + 6*p + 17. Let y be z(-11). Let w = y + 1310696/51. Calculate the common denominator of w and -10/9.
153
Let v(b) = -b**3 - 6*b**2 - 7*b - 6. Let r = 11419 + -45695/4. Calculate the common denominator of r and v(-6).
4
Let k = 23523 - 23487. What is the common denominator of k and (-20)/(-12)*(-6)/148?
74
Suppose -99 = -5*c - 3*i, 5*c + 5*i - 11 = 4*c. Suppose -c*q + 648 + 234 = 0. What is the least common multiple of q and 33?
462
Let x(v) be the first derivative of -v**4/4 + 5*v**3/3 + 10*v - 7. Suppose -7*l + 275 + 19 = 0. Calculate the least common multiple of l and x(5).
210
Suppose 13*x - 9*x = -5*b + 226, -5*x - 3*b + 302 = 0. Calculate the least common multiple of x and 320.
320
Suppose 30*p - 28*p = -1826. Let v = p + 13661/15. Let s = 408 - 3679/9. Find the common denominator of s and v.
45
Calculate the common denominator of -37/124 and ((-3)/(-6) - 3)*7/((-336)/(-33)).
992
Let h be (1 - 20/12)*-1107. Suppose -5*i = -2*b - 706, -2*b - 3*i = -0*b + h. Find the common denominator of (-2)/(2 + -3) + b/60 and -85/2.
20
Let q(k) = 5*k**2 - 48*k + 34. Let n be q(9). Find the common denominator of n*(-2)/14 + 78/(-4) and -41/151.
302
Suppose -24*j = 53643 - 132483. What is the least common multiple of j and 5?
3285
Let k = -14/9 - 245/18. Find the common denominator of -41/18 and k.
18
Let p(a) = 8*a**3 + 3*a**2 - 37*a + 5. Let g be p(15). What is the common denominator of 79/2 and g/(-1116)*6/(-56)?
48
What is the common denominator of 40/14720*688/36 and 38/897?
10764
Calculate the common denominator of (-276)/(-736)*(-4)/21 and -13/9702.
9702
Let i(o) = o**2 - 4*o - 7. Suppose -6 = -3*x + 5*p, -8 = -2*p - 2. Let s be x/(0 + 1 + 0). Calculate the least common multiple of 14 and i(s).
14
Suppose 7*p + 18 = 4. Let g(l) be the third derivative of l**5/15 + l**4/24 + 5*l**3/6 + 5*l**2. What is the smallest common multiple of 7 and g(p)?
133
What is the common denominator of -94/1245 and (0 + 111/4482)*(7 + -4 + -5)?
3735
What is the least common multiple of -99 - -111 - 4*(3 + -2) and 180?
360
Let k = 3094 - 55711/18. Let a = 14132761/7972 + 3/39860. Let i = a - 230819/130. Calculate the common denominator of i and k.
234
Let k = -50815/1468188 - 454/2399. What is the common denominator of 145/6 and k?
612
Let t = -308 - -326. Find the common denominator of (-1 - 93/(-90))/(t/465) and -21/256.
2304
Let f(q) be the third derivative of q**5/30 - 41*q**4/24 + 3*q**3/2 + 11*q**2. Calculate the smallest common multiple of 96 and f(21).
480
Suppose -1064254 - 241866 = -5*m. Let d be ((-1)/(-9))/(m/(-48) - -1). Let q = d - -3624097/13711740. What is the common denominator of q and 27/14?
140
Suppose 5*i = 108 + 72. Suppose -f - 4*m + i = 0, 2*f - 77 = -3*m + 5. What is the least common multiple of 72 and f?
792
Let d = 358 + -356. Suppose -d*g - 974 = -1004. Suppose -3*x - 37 = -4*y, -y + 4 = -x - 5. What is the smallest common multiple of y and g?
30
Calculate the common denominator of (1494/(-432))/(330/(-55) + (-538)/(-4)) and -19/10.
15420
What is the least common multiple of 4 and 14/(-45) + 176/396 + 3688/15?
492
Let a be (-12)/9 - (-182)/6. Let f = a + -17. Suppose -4 = 4*u - f. Calculate the least common multiple of 4 and u.
4
Let n(c) = 241*c + 54. What is the lowest common multiple of n(0) and 792?
2376
Let r = -3950 - -4070. What is the least common multiple of r and (4/(-6))/((-4)/6)?
120
Suppose -14*i = -12*i - 64. Calculate the common denominator of (8/i)/((-16)/(-122)) and -23/56.
224
Let l = 4793 - 6043962/1261. What is the common denominator of l and 57/52?
5044
Let i = -50786 + 103653/2. Let v = -1080 + i. What is the common denominator of v and 91/90?
90
Let z = -7955 - -8012. Suppose -4*k - k + 22 = 4*u, 10 = k - 2*u. Calculate the smallest common multiple of k and z.
114
Let d(x) = -x**2 - 6*x + 38. Let z be d(-13). Let u = z + 79. What is the least common multiple of 16 and u?
208
Let j = 1209 + -1020. Let s = -894107/46 - -19436. Find the common denominator of (-6*(-83)/(-28))/(j/(-63)) and s.
322
What is the common denominator of (7*(-11)/(-924))/((-3486)/(-570)) and 32/249?
697