= -y**2 - 2*y + 3. Let k be d(-7). Let r = 27 + k. Let m(h) = h**2 + 3*h - 4. Calculate the lowest common multiple of m(r) and 30.
30
Let r be (-10)/8 + 2/8. Let d be (2 + (-14)/6)*(-1 - r). Suppose 5*c = 3*c - 5*i + 15, d = -5*c + 5*i + 125. Calculate the lowest common multiple of 14 and c.
140
What is the common denominator of (117/(-33) + 2)*(-2)/4*2 and -13/53?
583
Let x be 1 + ((-3697533)/96 - -1) - -4. Let m = x + 38513. Calculate the common denominator of m and 87/8.
32
Suppose 7*y = 11*y + 64. Let a(p) = p**2 + 7*p - 31. Let g be a(y). Let c = g - 73. Calculate the least common multiple of 12 and c.
120
Let u(s) = -342*s + 258. Let m be u(-7). Find the common denominator of 27/5 and (-3 - 598/(-200))/(26/m).
50
Suppose 3*p = -2*z + 6*z + 114, 4*z = 0. Calculate the lowest common multiple of 304 and p.
304
Let m(w) = 22*w**3 + 3*w**2 - 6*w - 1. Let c be m(2). Calculate the least common multiple of (24/(-14))/((-25)/c) and 18.
36
Let n = 24 + -16. Let f(h) = -2*h**2 + 6 - 4*h**2 + 6*h**2 + 5*h**2 - h**2. What is the lowest common multiple of f(-2) and n?
88
Suppose 0*q = 4*q - 4*c - 26448, 4*c = 8. Suppose -4216 = -6*y + q. Let l = y + -19817/11. Find the common denominator of -33/29 and l.
319
What is the smallest common multiple of 40/12 - 4 - (-3025)/33 and 6?
546
Suppose m - 4*m = i + 9, 4*i = m + 16. Let t be 3 - (i + 0) - 1. Calculate the smallest common multiple of 22 and t/2 + (-99)/(-6).
176
Let h(q) = 5*q**2 - 52*q - 27. Let c be h(11). Suppose -72 = -c*x - 3*x. Let w(r) = -18*r. Calculate the lowest common multiple of x and w(-1).
72
Let w = -14328 - -14492. What is the least common multiple of w and 244?
10004
What is the common denominator of (-4)/2 - 63/27 and 5/((-15)/9)*(-724)/(-360)?
30
Suppose 52 = -3*p + 232. Suppose -28*s + 26*s + p = 0. What is the least common multiple of s and 21?
210
Let k(d) = -6*d - 51. Suppose -10*y + 8*y = 5*j + 22, -5*y - 3*j = 74. What is the lowest common multiple of k(y) and 6?
90
Suppose 0 = 81*z + 6018 - 15495. Calculate the least common multiple of -1 + (28 + -2 - -1) and z.
234
Let k = -73067/67784 + 260/229. Find the common denominator of 131/888 and k.
888
Find the common denominator of 93/1342 and 502/(-732) + (-3)/(-9).
1342
Suppose 0 = 13*d + 5*d - 54. Suppose -3*y + q + 73 = -q, -d*q + 6 = y. Suppose 0 = -2*t + 5*t - 81. Calculate the least common multiple of y and t.
189
Let i(k) = -k**3 - 5*k**2 - 2*k + 1. Suppose -24*c + 26*c = -10. Calculate the smallest common multiple of i(c) and 40.
440
Let n(z) = z**3 - 4*z**2 + 5*z + 4. What is the lowest common multiple of (-6)/6 + 16 + -2 + 3 and n(3)?
80
Calculate the common denominator of 1 - (((-5846)/2808 - -3) + (-74)/(-481)) and 1/432.
5616
Suppose 3*d = -2*d + 20. Suppose 93 - 29 = d*x. What is the lowest common multiple of 152 and x?
304
Let j(s) be the first derivative of s**4/4 + 10*s**3/3 - 5*s**2 - 9*s + 3. Let u be j(-11). What is the common denominator of ((-2)/u)/(1/(-44)) and -51/2?
10
Suppose 0 = -d - 3*k + 18, 2*k = -0*k - 6. Let a(i) = 10*i**2 + 139*i + 1. Calculate the least common multiple of a(-14) and d.
135
Let c = -7/22 + 25/44. Let u(j) = 14*j**3 + 3*j**2 - 9*j. Let w be u(6). Let o = w + -21592/7. Calculate the common denominator of o and c.
28
Let t(k) = 2*k**3 - 11*k**2 - 13*k - 14. Let o be t(-11). Calculate the common denominator of 856/o - (-6)/(-21) and -23/33.
759
Suppose 4*o = 4*i - o - 185, 5*i - 2*o - 244 = 0. Let n = i - 45. Suppose 5 = -n*x, -4*x + 17 = 2*l + x. Calculate the lowest common multiple of l and 4.
44
Let r = -284 + 284. Suppose 9*u - 380 - 349 = r. Calculate the smallest common multiple of 54 and u.
162
Let k be 6/4*4/3. Let f = -144/17945 - -880169/107670. Calculate the common denominator of (k/12)/((-4)/94) and f.
12
Let k = -31/476 - -751/3570. What is the common denominator of k and -173/210?
420
Calculate the common denominator of 395/700*4 - 4/4 and -59/130.
910
Let y be (-975)/50*((-2)/(-6) + -1). Suppose 186 = y*x - 152. What is the lowest common multiple of 44 and x?
572
Let c = 3036 + -2964. Calculate the least common multiple of 2 + 2 + -2 - -38 and c.
360
Suppose 11 = -2*b + 15. Suppose -12 = 3*c, 0*c - 312 = -4*s - b*c. What is the smallest common multiple of 40 and s?
80
Let o = -45 - -61. Suppose 21*n - o*n - 140 = 0. Suppose b + 2*b + 59 = 5*z, 4*b - n = -4*z. What is the least common multiple of z and 8?
40
Let a = -3750 + 3830. What is the least common multiple of a and 52?
1040
Suppose 2*y - 48 = 2*o, -3*y + 4*o - 19 + 87 = 0. What is the least common multiple of y and 12/(-39)*42/(2856/(-2210))?
140
Let y(q) = -4*q**2 + 3. Let p be y(-3). Suppose 0*r + 8 = -4*r. Find the common denominator of r and 3/(-3 + p/(-24)).
13
Suppose 0 = 4*r - 5 - 19. Let u be (-8)/r*(-1206)/24. Suppose 0 = 19*p + 10 - u. What is the smallest common multiple of p and 5?
15
Let s = -3 - -7. Let n(a) = a**2 - 9*a - 8. Calculate the lowest common multiple of s and n(11).
28
Let g = 8881463/158 + -56212. Find the common denominator of -73/1422 and g.
1422
Let m be 1 - (6051398/8)/(275/10). Let d = m + 27506. Let g = 94665/14 - 6759. Find the common denominator of g and d.
770
Calculate the smallest common multiple of (-8760406)/(-17381) - (-2)/(-91) and 588.
3528
Let c = 217 - 169. Suppose 2*s + c = 96. Calculate the smallest common multiple of 96 and s.
96
Let x be 11/66 + (-2)/12. What is the common denominator of 2 + (-103)/(-16)*4/(-8) and (x - (-2)/8)*-89?
32
Let t = 2364421/50 + -47290. What is the common denominator of t and 333/(-90) - (1 + 1)?
50
Suppose y - 28*v + 23*v = 268, 5*y = -5*v + 1190. Calculate the smallest common multiple of 18 and y.
486
Suppose -20*y = -19*y - 4. Calculate the lowest common multiple of y and 12/(-2) - 24/60*-115.
40
Let t = -215843/24 - -8995. Calculate the common denominator of t and -29/140.
840
Let d(t) = -4*t**3 + 40*t**2 + 10*t - 63. Let l be d(10). Let o = 133 - 89. Let j = o - l. What is the least common multiple of 11 and j?
77
Let s = 778903342 - 32712255179/42. Let m = s + -40126. Let t = 19739/4329 + -2/481. Find the common denominator of m and t.
126
What is the common denominator of (-1)/3 - (-2125)/(-408) and -43/348?
696
Let d = 2700 + -2676. Suppose -5*x + 2*f = -118, 0 = 4*x - 5*x - 4*f + 28. What is the smallest common multiple of x and d?
24
Let p = -73 - -113. Suppose -l - l = -y, 28 = 2*y + 3*l. Calculate the lowest common multiple of p and y.
40
Suppose -23453 = -68*g + 20203. Let m = -418 + g. Calculate the least common multiple of m and 4.
224
Calculate the common denominator of 109/1240 and (-15)/(-18)*2/((-160)/(-92))*-9.
1240
Suppose 10*b + 2364 = x + 6*b, 5*x = -3*b + 11843. Calculate the least common multiple of 20 and x.
11840
Calculate the common denominator of -9 - 0 - 10172/4352*-4 and -17/4.
272
Let j = 76949/36432 + 5/3312. Calculate the common denominator of j and -87/2032.
22352
Suppose 119 = -6*s + 179. What is the least common multiple of 45 and s?
90
Suppose -4360 - 7050 = -35*z. Calculate the least common multiple of 116 and z.
18908
Let d = 771209342/8901 + -86643. Let y = 192848/62307 - d. Calculate the common denominator of y and -85/6.
42
Let g = 145 + -103. Suppose 2*w - 2071 = -1973. What is the smallest common multiple of w and g?
294
Suppose 85 - 121 = -6*p. Let i be (-18)/(-2 + 9/4). What is the common denominator of -37/24 and (146/72)/(p/i*4)?
24
Suppose -a = -7*a + 97032. Let q be -4*(a/8088 + -2). Let z = q - 59657/4044. What is the common denominator of z and 2/11?
44
Let q be 84/(-4) - 4/(-2). What is the smallest common multiple of 1*(-2 - (q + 2)) and 8?
120
Let f(t) = 18*t + 804. Let o(g) = -6*g - 268. Let w(z) = -3*f(z) - 10*o(z). What is the lowest common multiple of w(-39) and 85?
170
Let f = 909/624166 - 348801765893/11234988. Let n = f - -31049. Calculate the common denominator of 37/(-2)*(-2)/39 and n.
468
Suppose k - 23 = -5*v, -3*k = 2*v - 9 - 8. Suppose -3*n + 2*n + 30 = -3*h, 0 = -v*h + 16. What is the least common multiple of n and 48?
336
Let t = 16039/3123 - -30/347. Let f(m) = m**3 - 12*m**2 - m + 10. Let w be f(12). Find the common denominator of w/(-10) + (-2019)/270 and t.
18
Let t = 55 - 48. Suppose t*o = 8*o + 29. Let q = -22 - o. Calculate the least common multiple of q 