4
Let y(n) = -2*n**3 + 36*n**2 - 41*n + 11. Let v be y(17). Find the common denominator of (-8)/v*(-104)/32 and 133/48.
432
Suppose -503*c = -506*c + 3. Find the common denominator of c - 2 - ((-130)/(-8) - -4) and -29/23.
92
Let q = -10024433/204 + 49140. Calculate the common denominator of q and 1/348.
5916
What is the common denominator of ((-7)/(-67601 + 16))/((-4)/(-10)) and 9/8?
15448
What is the common denominator of 99/730 and 1572/(-5256) + 6 + 312/(-54)?
6570
Calculate the least common multiple of 30 and 11 - (3328/184 + -7) - 93156/(-69).
1350
Let x = 36 - 36. Suppose 4*a - 2*t - 2*t + 12 = x, 0 = 4*a + 5*t - 33. Calculate the lowest common multiple of 258 and a.
258
Let t be (-1386)/1474 + 3 + -2. Let q = t + -3260/737. Find the common denominator of q and 6*(2 + 22/(-28)).
77
Let y be 12235/2068740*-59 + (-3)/(-4). Let q = 2/11493 + y. Find the common denominator of -55/54 and q.
162
Suppose -3*m - 435 = 2*m + 5*d, 88 = -m - 2*d. Find the common denominator of -129/110 and ((-2107)/m)/(1 - -4).
110
Suppose 5*s + 32 = -3*j + 110, -3*j = 2*s - 78. Suppose -14*w + j + 730 = 0. Calculate the smallest common multiple of 3 and w.
54
Let l = 2632 - 1768. Let k = -38013/44 + l. What is the common denominator of k and 37/12?
132
Let b = -1161 + 1173. Let g = 12 - -8. Calculate the smallest common multiple of (g/6)/(2/6) and b.
60
Calculate the common denominator of (-116)/3*13/(-598) and 58/9.
207
Let m = -3953 + 1060. Let k = -89637/31 - m. Let d = -84303/10 - -8420. What is the common denominator of d and k?
310
Suppose -17*n = -501 - 145. Suppose -2*m = -3*m - 1, 0 = 3*j - 5*m - n. Calculate the lowest common multiple of j and 38.
418
Let d = 146699/27680 - -1/5536. Calculate the common denominator of -73/1812 and d.
9060
Let w = 80431/255774 - -61/2721. Find the common denominator of 113/470 and w.
1410
Let f = -6584 - -7601. Calculate the smallest common multiple of 27 and f.
3051
Let x = 7058 + -5152339/730. Let w = x + -7669/2920. Find the common denominator of w and 57/2.
8
Calculate the least common multiple of 74 and (-6)/10 + (-6 + -12)*708/(-90).
10434
Let q(c) = -3*c - 5. Let r(f) = 5*f**2 - 57*f + 29. Calculate the lowest common multiple of q(-6) and r(11).
91
Suppose v - 12 = 8*j - 4*j, 4*v + j = 14. Suppose 3*u = 2*u + v. Let q(h) = 3*h - 49. What is the smallest common multiple of u and q(18)?
20
What is the common denominator of ((10222/(-64))/19 + 6)*4/6 and 111/9580?
114960
Suppose -11*r + 1870 = -2*w - 7*r, 0 = -3*w + 3*r - 2805. Calculate the common denominator of -59/36 and (4 + -6)*(w/(-8))/(-11).
36
Suppose 6*b = 374 - 2174. Calculate the common denominator of (23*(-35)/b)/((-1)/(-2)) and -119/10.
30
Let m be 4/6 + 5343/(-8028). Let b = 24071/11596 + m. Let o(x) = 21*x. Calculate the common denominator of o(-1) and b.
13
Suppose -4*t - d - 395 = -73, 0 = d + 2. Let o = -77 - t. Calculate the least common multiple of o and 84.
84
Let l be (-10)/(-50)*138335/(-6). Let p = l + 4596. What is the common denominator of 0 - (7/(-28) + 181/(-84)) and p?
42
Calculate the common denominator of 73/3 and (-2022)/23712*-4 + -3*1/12.
1482
Let q(z) be the second derivative of -z**4/6 - 10*z**3/3 + 5*z**2 + 7*z. Let h be q(-11). What is the common denominator of h/(-8) + (-62)/(-36) and -35/4?
36
Let h = -31483/10962 - 7/783. Let y = 346111/48 - 7212. Find the common denominator of h and y.
336
Suppose 3821*c - 3825*c + v + 79 = 0, v + 2 = -13. Calculate the lowest common multiple of 20*1/((-5)/(-38)) and c.
304
Let n be 0/(-1) + 21 + (-4 - 0). Suppose n*z + 390 = 22*z. What is the smallest common multiple of z and 6?
78
Suppose -4*d - 2 = -b - b, -5*d + 3*b = 3. Suppose -w = -d*w - 1284. Let i = w - 24389/19. What is the common denominator of i and -40?
19
Suppose -6*x + 55 = 5*x. Calculate the common denominator of -151/6 and ((-7172)/24)/(-11) - x.
6
Let s be (-2*(-6)/12)/(3/9). What is the common denominator of (-22)/52 + 4*3/s and -91/4?
52
Let m = -6133 - -6143. What is the least common multiple of 2596 and m?
12980
Let k = 132 + -36. Suppose k = o + 4*m - 207, -1168 = -4*o - 5*m. Let p = o - 563/2. Calculate the common denominator of -101/8 and p.
8
Let v = 879 - 1289. Let o = v - -446. What is the lowest common multiple of o and 36?
36
Let d(h) = 2*h - 4. Let r be (-16)/6*(-3)/(-12)*-24. Let l = 33 - r. Calculate the least common multiple of l and d(5).
102
Let c(f) = -f**3 - 2*f**2 - 4*f + 2. Let z be c(0). Suppose -z*m + 23 = -7*l + 6*l, -3*m + 5*l = -52. What is the lowest common multiple of 30 and m?
90
Let r = 1881061/1638869716 - -2/127123. Calculate the common denominator of 37/10 and r.
64460
Suppose -4 = 4*o - 12. Let h(i) = -2*i**3 + 3*i**o - 13*i + 11*i**2 + 8 + i**3. Calculate the lowest common multiple of h(13) and 34.
136
Let v = -111462 + 14935839/134. What is the common denominator of 19/402 and v?
402
Calculate the common denominator of 61/356 and 47/(-480) - (-537)/(-895).
8544
Suppose 4*r - 248 = 2*d, -3*r + 8*r = -3*d + 332. Calculate the common denominator of ((-2)/52)/(55/18 - 3) and (49/16)/((-16)/r).
52
What is the common denominator of (2/((-100)/370))/(-2) and 49/100?
100
Let m = 67 + -68. Calculate the common denominator of -3 + (m - 58/16) and 53/4.
8
Let j be 15/20 + 62319/(-83124). Let w = -3770557/138540 - j. Let q = 355/12 + w. Find the common denominator of q and -77/39.
390
Let v = -5361 - -144775/27. Let w = -117391/79779 - 18/3799. Find the common denominator of w and v.
189
Suppose -48999 = -345*y + 66921. Calculate the smallest common multiple of y and 3360.
3360
Let o be -3 - 7/(28/(-32)). Suppose 5*c - 2*z = 90, -3*z - o = -c + 26. What is the least common multiple of (8 - -3) + -5 + 16 and c?
176
Let k = 11/4718 - 5914/7077. What is the common denominator of (-597)/56 + (-4)/(-14) and k?
24
Let v(g) = -g**3 + 33*g**2 + 4*g - 44. Let q be v(33). Calculate the smallest common multiple of (q/(-16))/(2/(-12)) and 15.
165
Suppose -489*y = -384*y - 33075. Calculate the least common multiple of y and 24.
2520
Suppose -2546*m + 739 = -2541*m - 4*z, 0 = 5*m + 4*z - 811. Calculate the smallest common multiple of 868 and m.
4340
Let v = 1510589/6364314 + 2/96429. What is the common denominator of v and 97/396?
396
Calculate the least common multiple of 8 and (-1 - 2/(-14)) + 340170/161.
2112
Let w = 6923 - 62374/9. What is the common denominator of 410/(-468) + 11/22 and w?
117
Let t = -10311281/102 - -101090. What is the common denominator of t and 67/3366?
3366
Let g(c) be the third derivative of c**5/15 + c**4/6 - 3*c**3/2 + 6*c**2. Let b = -117 - -126. Calculate the smallest common multiple of b and g(3).
117
Suppose -10 = 2*t - 3*t. Suppose 960 = 3*q + 2577. Let j = q + 749. Calculate the least common multiple of j and t.
210
Let b = -123/40 - -113/60. What is the common denominator of 149/270 and b?
1080
What is the lowest common multiple of 249/15 - (-12)/(-20) and (3 - 2)*6 - (-53)/((-477)/(-27))?
144
Suppose -90 = 36*s - 1602. Suppose s = 2*y + 3*m, 24 = 5*y - 4*m - 127. Find the common denominator of y and 16/13.
13
Suppose 0 = 2*n + 56 - 338. Let a be (-24)/180 + n/45. Suppose r - 3*y - 113 = 0, -a*r + 0*r + 274 = 4*y. Calculate the least common multiple of 2 and r.
98
Let f = -684569/32 + 21390. Let l = -3483/812 + 81/58. Calculate the common denominator of l and f.
224
Let x be 96/14*(-9 - 300/(-24)). What is the common denominator of -25/194 and (x/140)/((-15)/(-425))?
1358
Let i(m) = -51*m**3 + 9*m**2 + 32*m - 2. What is the smallest common multiple of i(-5) and 18?
19314
Let x = -1696 + 16981/10. Let l be ((-180)/70)/9 - (-206)/(-14). What is the common denominator of (-47)/l*(-111)/(-148) and x?
20
Let g = -2187167/70 - -571028/21. Let y = 4054 + g. Find the common denominator of -145/6 and y.
30
Let g be (-2 + (-7)/(-2))/(39/208). Find the common denominator of 20/14 + (-1)/(-2) and ((-23)/18)/(g/(-24)).
42
Suppose 0 = -2*o - 5*w - 15, -10*o = -11*o + 2*w - 30. Let s(l) = -l**3 - 21*l**2 - 22*l - 30. What is the smallest common multiple of 40 and s(o)?
40
Let g(q) = 2*q + 34. Let k be g(-16). Let o(u) = 5*u - 8. Let n be o(k). Calculate the common denominator of 32/5*(n + (-54)/42) and 19.
7
Let h(a) = 2*a**2 + 14*a + 1. Let y be h(-8). Let l(w) = 2*w - 24. What is the l