+ c. Calculate the common denominator of d and k.
210
Let i(m) = -m**2 - 7*m - 8. Let y be i(-5). Suppose s = 4, v = -y*s + s + 9. What is the common denominator of 101/16 and 56/(-160) - 2/v?
16
Let m(u) = -13*u + 12. Let q be m(-6). Find the common denominator of -143/24 and q/150 + 986/(-60).
24
Let v = -11915/68 + 9285287/52972. What is the common denominator of v and -59/82?
1558
Let r(v) be the third derivative of v**5/60 - 5*v**4/8 - 2*v**3 + 11*v**2. What is the smallest common multiple of r(17) and 18?
198
Let c be (-4638)/(-45)*4/144*6. Let t = -333/20 + c. Find the common denominator of t and -29/38.
684
Suppose -2*m + 3*m - 14 = 5*a, 5*m + 14 = -3*a. What is the common denominator of -34/27 and (99/55)/(2 + a)?
135
Let v be 6 - -5 - (-75)/(-15). Let p be (-6)/4*32/(-6). Suppose -v*r + p*r = 40. Calculate the smallest common multiple of r and 16.
80
Let u = -39 - -71. Suppose 0 = -4*h - 4*g + u, 5*h - 3*g - 3 = 5. Suppose -h*w - p = -13, 4 + 7 = -w - 5*p. Calculate the least common multiple of 1 and w.
4
Let y = 86 + 30. Let a(r) = r**2 + 19*r + 94. Calculate the smallest common multiple of y and a(-11).
348
Suppose -1037 - 1578 - 1185 = -95*z. What is the smallest common multiple of z and 724?
7240
Suppose 13 = 2*d + 9. Calculate the common denominator of -37/4 and d + (-7)/(560/(-36)).
20
Suppose -8*q = -9*q + 10. Suppose -2*j - 2*m - q = -0*m, -5*m = j + 1. What is the common denominator of (2/j)/(4/158) and -91/8?
24
Let f = -43807/6 + 7301. What is the common denominator of -59/3196 and f?
9588
Suppose -5*h + 4*q + 18484 = 0, -h - 6*q + 8*q = -3692. What is the least common multiple of 2035 and h?
40700
Let w = -469933066/2463 - -190797. What is the common denominator of -23/33 and w?
27093
What is the least common multiple of 40 and 1195 - (7 + -8 + -4)?
1200
Let u(g) = -60*g - 595. What is the smallest common multiple of 41 and u(-10)?
205
What is the smallest common multiple of 1/4 - ((-2511)/36 - -12) and 12?
348
Let v(h) be the first derivative of h**3/3 - 6*h**2 - 29*h - 4. Let o be v(14). What is the common denominator of o + 149/(-12) + 2 and 13/18?
36
Let o(z) be the first derivative of -z**3/3 + 12*z**2 - 53*z - 38. What is the lowest common multiple of o(17) and 24?
264
Calculate the common denominator of -6 - (5 - 3588/(-672))*44/(-78) and 54/5.
1820
What is the common denominator of (18/(-217))/((-968)/308) and -2/3?
1023
Let p = 68 + -110. Calculate the common denominator of -43/90 and 45/p + 6/(-21).
630
Suppose -13723 + 260825 = 102*j + 4852. What is the smallest common multiple of 875 and j?
16625
Let g(o) = 55*o + 338. Let k be g(-15). Let h = -905/2 - k. Find the common denominator of (-2)/7*(-1)/(-4) and h.
14
Let q = -3730 + 100699/27. Let t = 68 - 38. Find the common denominator of (2/t)/((-3)/(-147)) and q.
135
Let p be (-3 - (-92)/32)/((-1900)/(-16)). Let z = p + 2393/17100. What is the common denominator of z and -68/75?
900
Let u = -3694/553 + -14/79. Let m(b) be the third derivative of b**5/30 - b**4/6 - b**3/2 + 3*b**2. Calculate the common denominator of u and m(5).
7
Let b(p) = -755*p**2 - 24*p - 3*p**3 + 765*p**2 + 5*p**3 + 28 - 4 - 3*p**3. Calculate the smallest common multiple of 126 and b(7).
126
What is the common denominator of 1/(-4) + (-1276)/6728 and 1/348?
348
Let h(i) = -8*i**3 + 28*i**2 - 100*i + 2. Calculate the smallest common multiple of 12 and h(-15).
208812
Let s = 15349/4 + -3806. Let a = s - 825/28. Find the common denominator of a and -69/212.
1484
Suppose -5*l - 44 = -16*l. Suppose 27 = 2*y + 3*t + 14, l*t + 34 = 2*y. What is the lowest common multiple of y and 7?
77
Suppose -3*n - 3*c = -2*n + 3, -3*n = -2*c - 13. Suppose y - 113 = -5*o - n*y, 76 = 4*o - 4*y. What is the common denominator of 1 + o*(-2)/(-120) and -29/26?
260
Suppose -173*c - 13260 = -615*c. Suppose 115 = p - 3*m + 2*m, -2*p + m + 235 = 0. What is the least common multiple of p and c?
120
Calculate the common denominator of ((-882)/(-72))/((-131)/(-2)) and 12/(-384)*(44 - 14).
2096
Let b = 56 - 55. Let y be (-325)/50 - b/(-2). Calculate the smallest common multiple of 234 and (-100)/y - (-20)/(-30).
1872
Let i = -6310 + 31416/5. Let w = i - -346/15. Calculate the common denominator of 59/45 and w.
45
What is the common denominator of -29/733 and (122/12)/((-66)/99)?
2932
Suppose 2*s - 5 = -1. Suppose -1 = -t + n, -s*t + 4*n = 1 - 3. Find the common denominator of (t/5)/(16/85) and 35/2.
16
Let h = -628491/117334 + -6/8381. What is the common denominator of h and 1/(-3) + 5/(-3)?
14
Let r = -45 - -23/2. Let n = -28442494 + 1251591379/44. Let j = n + -11067/4. What is the common denominator of j and r?
22
Suppose -5*m + 4*d - 14 = 0, -d + 4*d + 12 = 0. Let a be (-2)/8 + (-31)/4. What is the common denominator of (-1940)/(-330)*m/a and 31/32?
352
Let y = -141601/4 - -35417. Let r = 5/517 - 22281/5170. Find the common denominator of r and y.
20
Let k(i) = 4*i**2 + 1. Let x be k(1). Suppose 3*m - 4*m = 2*z - x, -2*z + 4*m + 30 = 0. Calculate the lowest common multiple of (-61)/(-5) + 628/785 and z.
65
Suppose 4*g = d - 2, -2*d - 6 = 4*g - 5*d. Suppose g = v - 0*v + 5*c, 2*v - 26 = 3*c. Calculate the common denominator of 73/6 and (152/v - 2)*(-1)/8.
60
Calculate the common denominator of 2295/544 - (-8)/(-3) and 99/68.
1632
Suppose 3*w + w = -3744. Let r be 3/(w/(-5451)) + -2. Let m = r - 154/13. What is the common denominator of 3/7 and m?
56
Let w = 7055 - 77553/11. Let g be -4 - (-8757)/(-2) - 6/(-12). Let b = g - -48241/11. What is the common denominator of w and b?
11
Suppose 8740 = -27*q + 4*q. Let u = -374 - q. What is the smallest common multiple of u and 87?
174
Let w = 2/414059 + -522956837/66249440. Let a = w - -54/5. Calculate the common denominator of (2 + (-6)/(-8))*-1 and a.
32
Calculate the smallest common multiple of (-84 + 1 + (-4)/((-44)/11))*-5 and 2050.
2050
Let z = -8578 + -6932. Calculate the common denominator of (-2)/11 - (2 + 40055/z) and -20/3.
282
Let n = -432/73 - -647105/108843. Calculate the common denominator of n and 33/8.
11928
Let k(r) = r**2 + 7*r. Let c be k(-5). Let j(p) = -p - 13. Let g be j(c). Calculate the smallest common multiple of 5 and (-2 - -3)/3 - 23/g.
40
Let d = 624901/50 + -187747/15. Let k = -5291 - -264561/50. Let w = d - k. Calculate the common denominator of w and -19/5.
15
Let r = 219/110 + -9/10. What is the common denominator of 10/(-4)*(-312)/105 and r?
77
Let c = -11 - -3/4. Suppose -5*n + 18 = 4*l - 2*l, -5*l = 5*n - 30. Find the common denominator of c and (l/((-264)/(-15)))/((-4)/8).
44
Let j = -7918 - -8078. What is the lowest common multiple of 50 and j?
800
Let g = -114932 - -68472. Let m = g - -5575331/120. What is the common denominator of 89/90 and m?
360
Let i(j) = 3*j - 15. Let v be i(6). Suppose 0 = -4*s + w - v*w + 66, 5*w - 30 = -s. Calculate the lowest common multiple of (-870)/(-16) - s/40 and 4.
108
Suppose 0 = 2*s + 4*v - 876, -3*v + 4*v + 901 = 2*s. What is the common denominator of -71/12 and (24/(-15) + 2)/(s/(-520))?
84
Let z = 282873/5740 + -2046/41. Find the common denominator of 124/(-6) + 2 + 4 and z.
420
Suppose -4*w - 106 = 7*w - 601. What is the lowest common multiple of 45 and w?
45
Calculate the common denominator of 2/5 + (-64307)/68480 and -109/864.
3456
Let i be (-6)/27 + 12217/180. Let c = 427/5 - i. Find the common denominator of -41/12 and c.
12
Let h = -7742 - -8038. Calculate the lowest common multiple of h and 72.
2664
Let l = 3107 + -285823/92. Calculate the common denominator of -83/4 and l.
92
Let l = 18 + -16. Let m be (8/l)/((-2)/(-8)). What is the common denominator of -41/16 and ((-6)/m)/((-72)/(-3104))?
48
Let f = -27 - -29. Let t = -18 - -38. Suppose -2*d + 5*b + 35 = 0, -3*b = 5*d - f*b - t. Calculate the least common multiple of 6 and d.
30
Let k = -442 - -444. What is the lowest common multiple of 680 and (k/12*3)/(7/252)?
6120
Suppose 11*h = 4*h - 245. Suppose -4*p + 20 = -3*p. Calculate the least common multiple of p and (h/(-7) - 7)*(1 + -24).
460
Let k(l) = 2*l**2 - 13*l + 22. Let i be k(7). Suppose 0 = -s - 4*u + i, 5*u + 2 = 3*s - 0. What is the least common multiple of (-36)/3*5/(-4) and s?
45
Let x(n) = 134*n + 19*n**2 + 25 - 124*n - 18*n**2. Calculate the lowest common multiple of x(-3) and 