+ 17. Let k be q(13). Suppose -3*z = 2*p - k, -11 = -4*p - 4*z + 17. Calculate the lowest common multiple of 8 and p.
8
Let t(s) = 32*s**2 - s - 1. Suppose 0 = 4*f + 2*q + 170, -62 - 153 = 5*f + 3*q. Calculate the common denominator of t(-1) and (22/f)/(6/(-135)) - 2.
8
Let v = -111/43 + 10777/2709. Calculate the common denominator of v and -67/36.
252
Suppose 138 = m - 3*m - 5*q, 5*m + q = -345. Let r = m + 75. Calculate the lowest common multiple of 5 and r.
30
Let n = 21 + -22. Suppose 0*b + 3*b = 3*p + 21, 0 = -5*b - 3*p + 67. What is the smallest common multiple of b and (3*(-4)/12)/n?
11
Let m(j) = 3*j**2 - 27*j + 17. Let o(d) = -2*d**2 + 18*d - 11. Let b(k) = -5*m(k) - 8*o(k). Calculate the lowest common multiple of 7 and b(10).
91
Let v be 6/27 + 424/36. Suppose -k - 4*k + 6 = -4*d, 2*d + 5*k = v. What is the lowest common multiple of 9 and d?
9
Let q(w) = -3*w - 6. Let b be q(-7). Suppose 0*t + 5*t = b. Find the common denominator of t/(-33)*-1*-39 and -1/2.
22
Let h = -128089/77472 - 7/2421. Calculate the common denominator of h and -41/10.
160
Let a be 0 - (1 + 1 - 4). Suppose -7*t = -132 + 118. Suppose -a = -t*c + 6. Calculate the lowest common multiple of 12 and c.
12
Find the common denominator of 55/126 and -6*(-2)/(-42) + 1420/168.
126
Calculate the common denominator of (-88)/6*(-2511)/10416 and 23/44.
308
Let l = -3645 + 7201. Let w = l + -32066/9. What is the common denominator of w and -61/3?
9
Suppose 0 = -c - 3*p + 404 - 131, 5*c = -4*p + 1365. Let g = -315054/5 + 63277. Let b = c - g. Calculate the common denominator of b and -48.
5
Calculate the common denominator of 23/330 and (24/(-32))/((-2)/((-580)/(-225))).
330
Let h be ((-1)/(-4))/((-9)/(-5004)). Let g = -386/3 + h. Find the common denominator of g and -81/8.
24
Suppose 9*u = 8*u + 4. Suppose u*d - 2*d = -4. What is the common denominator of -48 and 162/(-15) - (d + -1)?
5
Let d = -3 + 7. What is the lowest common multiple of d and 7 + 1 - (42 + -42)?
8
Let w = 73/15 + -2311/330. Calculate the common denominator of w and -25/22.
22
Let g(r) = 5*r**2 + 8*r - r**3 - 2*r + 2*r**2 - 9*r**2 - 6. Suppose -6*x + x = 10, -5*x = w + 6. Calculate the lowest common multiple of w and g(-4).
4
Let b = 79 - -11. Calculate the lowest common multiple of 14 and 698/5 + 36/b.
140
Let b = 7109 - 42547/6. Calculate the common denominator of (-1)/(-1) - (-663)/(-104) and b.
24
Let x(b) = -b**3 + 8*b**2 - 6*b - 10. Let c be x(7). What is the common denominator of (6/(-360))/(2/(-724)) and 968/(-384) + (-1)/c?
240
Let m = 1 + 11. What is the smallest common multiple of 28/35 - 424/(-20) and m?
132
Suppose c = 3*c. Suppose -4 = 247*k - 251*k. Calculate the smallest common multiple of k and c*2/(-4) + 3.
3
Suppose 4*x - 2*s - 39 = -s, 3*x = -2*s + 32. Let n = 8 + -9. Let k(r) = -6*r + 1. What is the lowest common multiple of x and k(n)?
70
What is the common denominator of 1 + -16 + 7 - (-1209)/162 and -131/144?
432
Suppose 5*b = -n - 7 - 5, 3*b + n = -6. Suppose 2*o = -0*o - 20. Calculate the smallest common multiple of 1*(b/3 - o) and 9.
9
Let c be ((-34)/6)/(2 + 21/(-9)). Calculate the common denominator of (2 - (-5)/(-2)) + -38 and ((-4)/((-80)/c))/(3/22).
30
Suppose 0 = 29*v + 15*v - 264. Let a(g) = g**3 + g + 1. Let y be a(-1). Let r = v - y. What is the lowest common multiple of r and 11?
77
Let c(v) = v**2 + 5*v - 5. Let x be c(2). Calculate the smallest common multiple of 26 and 22 + -1 - (x + -6).
234
Find the common denominator of 51/10 and (0 - (-222)/(-620)) + (-63)/(-105).
310
Let j(t) = -7*t - 294. Calculate the lowest common multiple of j(-44) and 14.
14
Let m be 16/(-4) - (2 + -27). Suppose -25 = -t - 7. What is the smallest common multiple of 161/m + 2/6*1 and t?
72
Let r = -14317/1495 + -7/299. Let k = -3/508 - -3135/14732. Let c = -733/319 + k. Calculate the common denominator of r and c.
55
Let q = 5587 + -2615. Let k = q + -65487/22. What is the common denominator of k and -1/8?
88
Let k = -38 + 64. Let h = 43 - k. Calculate the common denominator of 131/(-24) + (-4)/(-12) and h.
8
Let s(k) = k**2 + 28*k + 190. Calculate the least common multiple of s(-10) and ((-20)/(-6))/((-2)/(-3)).
10
Let v(r) = 4*r - 6. Let s(k) = -1. Let h(d) = 5*s(d) - v(d). Let u be h(-2). What is the common denominator of (-3)/u + 535/(-60) and 99/8?
8
Let b be (-153)/((-61)/(-230) - 5/25). Let v = 18691/8 + b. What is the common denominator of 79/20 and v?
40
Suppose 8*m - 7*m = -2145. Find the common denominator of m/(-900) + (-2)/8 and 65/48.
240
Suppose 5*b - 1968 = 867. What is the lowest common multiple of b and 9?
567
Let s = -3696 - 448. Let w = 74489/18 + s. Find the common denominator of 21 + -18 - 47/14 and w.
126
Let y = 11611/1358 + -185/97. What is the common denominator of 24/7 and y?
14
Let z = -17750351/126 + 140877. Find the common denominator of 43/15 and z.
630
Let c be (-240083)/(-30) + (-3 - -4). Let o = 8003 - c. Find the common denominator of -1/10 and o.
30
Find the common denominator of 109/28 and (-2)/(-4)*(-1160)/609.
84
Let p(w) = -2*w + 8. Let m be p(-15). Suppose -v + 4*g = -m, -v - 17 = 4*g - 39. What is the common denominator of -23/6 and (-15)/(-4)*v/(-24)?
48
Suppose -m - 52 = -4*r + 3*m, r = -5*m + 7. Suppose 3*g = -r*g + 210. Calculate the least common multiple of 14 and g.
14
Suppose -15 = -n + 3. Suppose 4*a = -20 + 68. What is the lowest common multiple of a and n?
36
Let a be (-1)/2 + (-9)/(-2). Suppose -u + 5*s = 2*s - 9, -a*u + 19 = 5*s. What is the common denominator of -133/6 and (u - 7) + (-63)/(-22)?
66
Find the common denominator of 149/12*(-32)/48 and -137/126.
126
Suppose -p + 18 = 1. Suppose -g = -3 - p. Calculate the common denominator of -16/19 and 3/(((-112)/g)/4).
133
Suppose 16*z - 13*z = -6. Find the common denominator of -79/4 and -6 - z - 61/18.
36
Let z = 71021/37390 - -2/3739. Let p be (3/21)/((-26)/(-70514)). Let v = 2690/7 - p. What is the common denominator of z and v?
130
Suppose x = -0*x - b - 894, 1800 = -2*x + 2*b. Let v = 9890/11 + x. What is the common denominator of -51/7 and v?
77
Find the common denominator of -57/5 and -3*(-60)/32 - (-4 + -1).
40
Let t = 167 - 506/3. Let i be (-4)/(-3 - -2) + 472. Let p = -4316/9 + i. Calculate the common denominator of t and p.
9
Let u be (-1)/(-2)*8/(-1682). Let b be (7/(2030/(-96935)))/(1 + -320). Let r = b + u. Find the common denominator of -37/10 and r.
110
Suppose 60 + 10 = 2*t. Suppose -t = -3*i + 3*b - 95, i + 24 = 5*b. Let w = i - -29. What is the smallest common multiple of w and 5?
10
Find the common denominator of 41*(-296)/1920 + 6/45 and 41/16.
16
Suppose p + 44 = 4*f, 3*f + 10*p - 24 = 13*p. What is the lowest common multiple of 52 and f?
156
Let q be (-9)/5 - 1/5. Let j(p) = 144*p**2 + 2*p + 2. Let l be j(q). Find the common denominator of -25/12 and l/210*(-6)/(-4).
60
Suppose 3 + 15 = 9*u. What is the least common multiple of 16/(-24)*((-25)/u - 1) and 2?
18
Let a(q) = -3*q**2 + 3*q - 1. Let f be a(2). Let h be f + 4 - 4/1. What is the common denominator of -53/4 and (-2)/h - 1458/(-140)?
20
Suppose -4 = -3*h + h. Let n(t) = -2*t + 2 + 0*t + 2*t**h - 8*t. Find the common denominator of n(7) and 99/8.
8
Let v(u) = 78*u - 55. What is the lowest common multiple of v(1) and 1?
23
Let p be (-4)/(-6) + 50/15. Let r(w) = 408*w + 6. Let g be r(p). Find the common denominator of -95/8 and (-7709)/g - 4/18.
56
Suppose -k = -3*k - 10. What is the least common multiple of (-2*22)/(10/k) and 2?
22
Find the common denominator of ((-1)/(-54))/((-7)/287) and (((-105)/18)/(-35))/(1/(-303)).
54
Let z = 106427/8445 + -4/1689. Let f = 235/3 + -273/4. Calculate the common denominator of f and z.
60
Let u(b) = -13*b + 1. Let o be u(-1). Suppose 4*j = -2 + o. Calculate the common denominator of 97/16 and (-81)/(-12)*j/45.
80
Let g = -390 + 432. Calculate the least common multiple of g and 35.
210
Let z be -1 + 1 - (-4)/(-1742). Let i = -25247/5226 + z. Find the common denominator of i and (10 + 2245/(-225))*15/6*411.
6
What is the common denominator of -2 + 1/((-48)/44 + 4) and -47/16?
32
What is the lowest common multiple of 1097 and ((-49)/28*-4)/1?
7679
Let s be 0/((-2 - -4)*1). Suppose 4*p + 0*p - 12 = s. Suppose -2*v + 24 = -4*j, -10 = v + p*j - 2. What is the lowest common multi