418
Suppose 5*z - 5*m = -15 - 945, m + 972 = -5*z. Let p = 206 + z. What is the least common multiple of p and 54?
108
Let y = 12 + 2. Let p(z) be the first derivative of -z**3/3 + 5*z**2 - 8*z - 270. What is the lowest common multiple of p(6) and y?
112
Let y = -5035 + 171151/34. Calculate the common denominator of (6/(-27) + (-46)/(-72))*-22 and y.
102
Suppose -11*f = -68 - 42. Suppose f*g = 30 + 50. What is the common denominator of 19/18 and (g/12 - (-669)/9)/(-14)?
126
Let y = 123 + -122. Calculate the common denominator of -31/12 and 140/(-224) - (-1 - y).
24
Suppose 1093 - 4018 = -13*d. Suppose -8*m - d = 7. Find the common denominator of m and 42.
1
Let p(w) be the second derivative of w**5/20 + w**4 + 6*w**2 + 48*w. What is the smallest common multiple of 12 and p(-12)?
12
Let j(p) = p**2 + 8*p + 3. Suppose -2*t = -3*g + 4*g + 15, 10 = -3*t + g. Let w be j(t). What is the common denominator of 561/72 + 2/w and -57/16?
16
Suppose 3*u = -4*d + 12, 3*d + 2*u - 7 - 2 = 0. Suppose -3*g - 15 = 0, -d*k = -4*k + 2*g + 48. Let h = -18 + k. What is the smallest common multiple of 6 and h?
60
Let d be -27766*(-2)/(-9252) - -6. Let o = 6385/18504 - d. What is the common denominator of 139/24 and o?
72
Calculate the lowest common multiple of 3395 and 61107/10 + 7/(-28)*(-24)/20.
30555
Let c be (-20)/(-4) + -27850 + -9. Let t = c - -557199/20. Find the common denominator of (-61)/4 + 3/6 and t.
20
Let i = -191 + 123. Let t be (-1)/(-6) - i/24. Suppose -t*m + 36 = -3*q, -m - 2*q + 2 = -4. What is the lowest common multiple of m and 6?
30
Let w = 821455765/558729 + 3/62081. Let h = 1462 - w. Find the common denominator of h and -107/18.
18
Let d = -63 + 65. Suppose a = 4*z + 525, -654 = 5*z - 4*a + d*a. Let v = -128 - z. Calculate the smallest common multiple of v and 8.
8
Calculate the common denominator of -27/1034 and 5494/(-27918) + (112/(-70))/((-132)/15).
27918
Suppose -4*q = -q + 4*q. Calculate the lowest common multiple of 16 and q/(-2) + 1/(4/664).
1328
Suppose -2*g - 3*a = -2*a + 7, -4*g = 4*a + 20. Calculate the common denominator of 3/(-2) - (-3380)/(-312) and 248/10*g/(-16).
30
Let s = 4947 - 89195/18. What is the common denominator of s and -59/3722?
33498
Let s be (-10)/12*(-1213905)/111450. Let k = s + 5/743. What is the common denominator of 35/17 and k?
204
Let i = -8 + 2. Find the common denominator of (6 + 332/i)/18 and 1/(-2) + (-113)/(-22).
297
Let o = -63430830949/690 + 91928787. Let l = 2/345 + o. What is the common denominator of l and -13/62?
62
Let d(j) = -j**3 + 14*j**2 + 11*j - 12. Suppose -3*p + 2*p + 15 = 0. Let r be d(p). Find the common denominator of 0/(2 - 0) + (-369)/r and -27/8.
8
Suppose -20 = 4*v, 5*r - 3*v = 258 + 92. Suppose -6 = 3*m, -r + 17 = -5*f - 5*m. Calculate the least common multiple of 12 and f.
12
Let p = 154 + -19. Let l = -62 - -77. Suppose 0 = -6*r + l*r - p. What is the lowest common multiple of r and 3?
15
What is the least common multiple of 4402 and 66/(12 - 34) + (-42)/(-2)?
39618
Let t = -4499234 + 19472684841/4328. What is the common denominator of -79/10 and t?
21640
Suppose -8*n + 7*n + 366 = 0. Calculate the lowest common multiple of n/24 + -4 + 45/12 and 30.
30
Suppose 2000 = -16*z + 18*z. What is the lowest common multiple of 203 and (-2)/(z/252 - 4)?
1827
What is the smallest common multiple of 176 and (-135340)/(-1414) - (-2)/7?
1056
Let z = -59748137/54 + 1106485. Let n = -229/6 + z. What is the common denominator of n and 208/(-1120)*7*42/(-9)*-1?
135
What is the smallest common multiple of 1094 and ((-63)/12*(-12)/(-18))/(23/(-92))?
7658
Suppose 61*l + 32*l - 711900 = 18*l. What is the smallest common multiple of 16 and l?
37968
Let w = -13814 - -290077/21. Find the common denominator of -8/2799 and w.
19593
Let g = -417/106 + 81098/21147. What is the common denominator of g and -121/24?
3192
Let t be (-69)/(-12) - 1/(-4). Suppose -51 - t = -4*z + 5*p, -3*z - 5*p = 1. Suppose 0 = 3*w - 2*w - 9. What is the lowest common multiple of w and z?
72
Let h(x) = -x - 4. Let p be h(-6). What is the common denominator of p + (1335/168)/(-5) and (-76 - 3)*((-7)/(-2) + -10 + 6)?
56
Let d(z) = -z**2 - 63*z + 630. What is the smallest common multiple of d(-69) and 192?
1728
Suppose 3*q = -4*v - 506, 3*q + 304 = q + 4*v. Let h = q - -2769/17. Calculate the common denominator of 1*(144/15 + -1) and h.
85
Let j be -3 + 11538/30 + 5. Let c = -390 + j. Find the common denominator of c and -31/30.
30
Let b = -364 + 540. Suppose -b = -16*z - 32. What is the smallest common multiple of z and 168?
504
What is the common denominator of (13/(-182))/((-228)/(-333)) and 41/6?
3192
What is the lowest common multiple of 160 and (-2 - 0)*(2 - 3) + -360 + 1128?
12320
Suppose 2*f - 658 + 236 = -3*r, 145 = r + 5*f. Suppose 7*t = -0*t + r. Calculate the lowest common multiple of t and 16.
80
Let l(b) = -1588*b**3 - b**2 + 1. Let i be l(1). Let z = i - -12677/8. What is the common denominator of z and (-89)/(-24) + (192/(-36))/16?
8
Suppose -7*p - 3*p = -2590 - 2610. Calculate the lowest common multiple of p and 520.
520
Let c = 35806 - 931063/26. Find the common denominator of 1 + (116/40 - 1) and c.
130
Let c = 6953/4 + -1724. Calculate the common denominator of c and (-7)/(147/9) + (-622)/84.
12
Let x = 10 - 3. Let b(q) be the second derivative of 26*q**3/3 + 210*q**2 + 368*q. What is the smallest common multiple of x and b(-8)?
28
Let m(p) = 745*p + 660. Calculate the smallest common multiple of 1760 and m(0).
5280
Suppose 99 = 65*a - 96. Suppose -5*d + 4*m - 2 = -0*d, -3*d - 3*m - 12 = 0. What is the common denominator of 2/d*(-93)/51 and a?
17
Let n(a) be the second derivative of a**4/6 - 23*a**3/6 + 4*a**2 + 50*a. Calculate the lowest common multiple of n(12) and 4.
20
Let k = -13774/5 - -454217/165. Let q be 33346/(-24) - (10 - (3 + 1)). Let z = 1399 + q. What is the common denominator of k and z?
132
Let v = -3449 + 27635/8. Let z = 36907 - 21687. Let a = z - 182491/12. What is the common denominator of a and v?
24
Let z be (-4)/22 + 18/99. Suppose 5*i = -2*d + 9*i + 2, z = -2*i + 10. Calculate the least common multiple of d and (-11)/(2 + 1 + -4).
11
Let p(c) = c**2 - 46*c - 668. Calculate the lowest common multiple of p(-13) and 33.
99
Let u = -88155 - -10225889/116. What is the common denominator of -23/22 and u?
1276
Let o be (0 - -3*205) + -7. Calculate the common denominator of -17*((-4856)/o - -8) and 69/2.
76
Let l(t) = -3*t - 45. Suppose -s - 11 - 3 = 0. Let m = -4 - s. Calculate the smallest common multiple of m and l(-17).
30
Suppose -22*u + 42 = 4*u - 12*u. Calculate the least common multiple of u and 6062.
18186
Let g = -245067/40 + 6127. What is the common denominator of g and (-2 - (-71)/35)/((-22)/22220*8)?
280
Let i be 8/(-14) - (-2606957)/1708. Let a = 1501 - i. Calculate the common denominator of a and (-2)/88*136/(-4).
44
Let x(d) = d - 16. Let o be x(19). Calculate the common denominator of -132*o/(-160)*-4 and 3/14.
70
Let p(d) = -d + 310. What is the least common multiple of p(-10) and 416?
4160
Find the common denominator of 408/(-7497)*26/36 and -19/567.
3969
Let s = -5484 - -76735/14. Find the common denominator of 1 + 0 - (-2091)/(-170) and s.
70
Suppose 31*t - 30*t = 2*o + 508, 5*t - 4*o = 2528. Calculate the smallest common multiple of t and 198.
5544
Let h = -15481 - -15847. What is the smallest common multiple of h and 99?
12078
Suppose -520*a + 521*a - q = 12, -2*a = -q - 30. Let d(j) = j**3 + 7*j**2 + 6*j + 1. Calculate the lowest common multiple of a and d(-5).
126
Suppose 3*d = -54 - 162. Let z = -1014 - -1108. Let m = d + z. Calculate the least common multiple of m and 8.
88
Let q = 6829/505 + -174/101. What is the common denominator of q and -107/4210?
4210
Calculate the least common multiple of 10/(-12)*3168/(-48) and 55.
55
Suppose 0 = -4*p + 52 + 60. What is the least common multiple of p and (-240)/(-14)*(-1169)/(-501)?
280
Let h = 247 + -262. Calculate the lowest common multiple of 18 and ((-840)/16)/h*30.
630
What is the common denominator of 109/440 and (2 - 13) + (-4009)/(-380)?
440
Suppose 5*j + 12*j = 204. Let c = -6 + 12. Calculate the least common multiple of c and (15 + -17)*j/(-2).
12
Let c = 140107/70 - 13954/7. What is the common denominator of c an