What is the common denominator of 97/200 and p?
7400
What is the common denominator of (123/1968)/((-215)/188) and -65/32?
6880
Let s(p) = p**2 - p + 1793. Let x be s(0). Let i = x - 16103/9. What is the common denominator of i and 67/51?
153
Find the common denominator of ((11390/(-360))/(-17))/(-3 + 4) and -22/1593.
6372
Let y(k) = -k**3 - 2*k - 148 + k**2 + 295 - 145. What is the lowest common multiple of 11 and y(-3)?
44
Let h = -6658 - 2278. Calculate the common denominator of ((-246)/h)/(33/22) and -23/20.
22340
Let k = -8 + 12. Suppose 3*i + 206 = 5*s, k*s - s - i = 122. Let f = s + -35. Calculate the lowest common multiple of f and 4.
20
Suppose 270 = u - 4*u. Let j = -3737 - -3717. Find the common denominator of (u/(-14) + -6)/((-54)/j) and 49/27.
189
Suppose -1369 = 42*m - 46*m - 3*u, -5*m = -3*u - 1745. Calculate the smallest common multiple of m and 18.
3114
Suppose -3*d = -h + 1 + 11, h = -5*d + 4. Suppose j = h + 6. Suppose 0 = -j*y + 10*y + 15. What is the lowest common multiple of 3 and y?
3
Let b = -3793 + 2470. Let d = 1328 + b. Let i(q) = -q**3 + 5*q**2 + q + 3. Calculate the least common multiple of d and i(5).
40
Let y = 128651/99093 + 30/1943. Suppose -l + 2*l - 36 = 0. Let c = l - 21. Calculate the common denominator of y and c.
51
Calculate the lowest common multiple of 2 + 40/(-50) + 68/10*1 and 7764.
15528
Suppose 0 = 185*b - 188*b + 96. Suppose 2*i + 20 = 7*i. Suppose -m + 36 = 2*g, -m - 28 = -i*g + 44. Calculate the lowest common multiple of g and b.
288
Suppose 3*k - 516 = -2*y, -2*y - 3*y + 507 = 3*k. Let u = 184 - k. Calculate the lowest common multiple of u and 202.
1010
What is the common denominator of 92/(-2392) + (-146)/6006 and 41/210?
2310
Let b(y) = -3*y. Let c be b(4). Calculate the common denominator of (8/c)/((-36)/(-105)) and (7 + -8)*1040/528.
198
Let v = 78412 + -78377. Calculate the lowest common multiple of (-14)/1*2/(-4) and v.
35
Suppose 20*d - 27*d = -1022. What is the lowest common multiple of d and 13?
1898
Let u = 291/32 + -833/96. Suppose 0 = 3*a - a + 2*z - 20, -2*z = -8. What is the common denominator of (1/23)/(a/104) and u?
276
Let q(h) = 80*h - 278. What is the lowest common multiple of q(4) and 266?
798
Let z(y) = 15*y**2 - 135*y + 48. Calculate the lowest common multiple of 1182 and z(9).
9456
Find the common denominator of -39/14 and ((-3478)/(-1825580))/((-2)/10).
34538
Suppose -3*d - 209 = -227. Suppose 4*z + 30 = d*z. What is the lowest common multiple of z and 27?
135
Suppose -20*y + 3*z = -21*y + 17, -2*y + 4*z - 16 = 0. Suppose -3*c - 153 = -5*x, 0*c = y*x + 3*c - 78. What is the lowest common multiple of 42 and x?
462
What is the smallest common multiple of 6552 and 31200/(-900)*(0/(-1) + -231)?
72072
Suppose 5*x - 5*y = 1995, -5*x + 114*y = 117*y - 1995. What is the lowest common multiple of x and 210?
3990
Let n(h) = -h**3 - 9*h**2 - 10*h - 13. Let q be n(-8). Suppose -o - 5 = q. Calculate the smallest common multiple of 9 and (0 - o) + 3*-1.
45
Let i = -5447 - -5916. Calculate the smallest common multiple of i and 1.
469
Suppose 8*x - 3*x - 200 = 0. Suppose -5*z = -3*w - 50, 4*z = 2*w - 3*w + x. Find the common denominator of (-308)/(-4)*(2 + (-19)/z) and 163/30.
30
Let s(t) = -3*t**2 - t - 1. Let u(v) = 19*v**2 - v - 11. Let w(m) = 6*s(m) + u(m). What is the smallest common multiple of w(9) and 164?
164
Let i = -552/11 - -2331/55. What is the common denominator of i and (-1)/(309/99 - 2)?
185
Suppose 120*i - 77 = -15 + 658. Calculate the lowest common multiple of i and ((-7)/(-3) - 2)*111.
222
Suppose -76*f + 20*f + 33*f = -10488. Calculate the smallest common multiple of f and 513.
4104
Let g(b) = b**3 + 4*b**2 - 9*b - 10. Let n be g(-5). Suppose -n*x + 140 = -8*x. What is the lowest common multiple of x and 9?
630
What is the smallest common multiple of 4993 and ((-13)/39 - (-68)/24)*2?
24965
Suppose 0 = -30*i + 35*i - 5*z - 150, 0 = 4*i + 3*z - 99. What is the least common multiple of i and 69?
621
Suppose 0 = 9*m - 67 - 14. Suppose 0 = 2*g + m*g - 66. Calculate the lowest common multiple of g and 34.
102
Let v(f) = -f**3 - 26*f**2 - f + 663. Let t(h) = -h**3 + 8*h**2 - 3*h - 10. What is the least common multiple of v(-25) and t(7)?
126
Suppose -4*v + 21*v - 34 = 0. Suppose -v*a - 7 = -9*a. Let t(c) = -c**2 + 6*c. Calculate the smallest common multiple of t(5) and a.
5
Let s(j) = -10*j + 86. Let i be s(8). Suppose -4*u + 58 = 5*p, 3*p + 10*u = i*u + 38. What is the smallest common multiple of p and 5?
10
Calculate the common denominator of (104/100)/((-1)/(-5)) and (291/(-10))/3*9/18.
20
Let q(b) = -b**2 - 12*b + 127. Let i be q(-18). Calculate the common denominator of (2261/84)/i - -5 and -7/60.
60
Find the common denominator of -73/5292 and (-7 + 2349/504)*(3 + (-237)/81).
5292
Suppose 8*z = 3057 - 2865. What is the smallest common multiple of 5/((-225)/(-1205)) + (-4)/(-18) and z?
216
Suppose f - 7220 = -5*w, 0 = w - 2*f - 958 - 486. What is the smallest common multiple of w and 28?
10108
Let l(s) = -s**2 + 8*s - 12. Let a be l(6). Suppose c - 10 + 8 = a. Find the common denominator of 91/10 and c - ((-56)/66 + 7/(-21)).
110
Calculate the smallest common multiple of 1298 and (6208/1746 + 2/(-9))*36/10.
7788
Let x be -1*(-1)/(-4) - 106/(-8). Suppose -x*p + 11*p + 22 = 0. Calculate the least common multiple of p and 61.
671
Let q be ((-42)/(-7))/(-6) - (-43 + 0). Find the common denominator of 69/2 and 1988/q*2/(-24).
18
Suppose 0 = -4*g + 11 + 9. Suppose g*h = -0*h + 50. Let b(w) = -2*w**2 + 4*w + 14. What is the lowest common multiple of b(3) and h?
40
Let g(b) = 2*b**3 - 91*b**2 + 134*b + 40. What is the lowest common multiple of g(44) and 64?
128
Suppose 4*v - 279 = v. Find the common denominator of ((-1)/(-9))/((-4)/v) and (-9)/450*1580/(-8).
60
Let m = -19 - -21. Let z be 51 - ((-240)/(-70) - (-3)/(-7)). Suppose 12 + z = 4*a. Calculate the lowest common multiple of m and a.
30
Let p(i) = -12*i**2 + 6*i + 7. What is the common denominator of p(-1) and 1207/3638*((-3)/3 + 0)?
214
Let l = 4738 + -3891. What is the least common multiple of l and 770?
8470
Let z(q) = q**3 + 5*q**2 - 28*q - 90. Suppose -84 = -2*h - 2*h. What is the smallest common multiple of h and z(-3)?
84
Let n = -2017/588 - 47/147. Calculate the common denominator of n and -3/40.
40
Let j(h) = h + 1. Let m(q) = 16*q**2 + 6*q + 6. Let t(k) = -5*j(k) + m(k). Suppose 10*i = 7*i - 3. Calculate the lowest common multiple of t(i) and 16.
16
Let p(m) = 110*m**3 - m**2 + 1. Let g be p(1). Let f = g - 21. Suppose 2*j + 2*j - f = 5*d, 5*j - 100 = 4*d. Calculate the least common multiple of j and 32.
32
Suppose q + 5*j = 5*q + 13, -2*j = -10. Suppose 3*s - 12 = 2*s - 2*c, -5*s - 4*c + 66 = 0. Find the common denominator of ((-297)/12 + 3)/(q/2) and s.
2
Let p = -12676 - -418322/33. Find the common denominator of 55/2193 and p.
24123
Let n = 453 - 453. Calculate the common denominator of (n + -2 - 8/(-10))*-3 and -28/69.
345
Let y = 27 + -26. Suppose 4 = -s, 2*w - 2*s = 9 - y. What is the smallest common multiple of 12 + -2 + w + 0 and 10?
10
Let u(z) = -2*z + 10. Let t be u(5). Suppose t = -4*v + 4*h - 160, -5*v - 2*h - 236 = 2*h. Let n = -32 - v. What is the smallest common multiple of n and 378?
756
Let l = 1078 - 278. Calculate the smallest common multiple of l and 240.
2400
Let p(s) = -44*s - 240. Suppose -u - 153 = -4*u. Suppose 4*g - 2*g - 3*b - u = 0, -g = -b - 24. What is the least common multiple of g and p(-6)?
168
Find the common denominator of ((-7)/3*-1 - 2) + 246/(-5412) and 1/554.
18282
Let h = 7598 - 6821. Calculate the smallest common multiple of h and 296.
6216
Suppose -34*o - 71 = -105*o. What is the common denominator of -61/12 and (o/6)/(1064/8120)?
228
Suppose -10 = 2*h + 32. Calculate the least common multiple of 2 + (24/(-14))/(6/h) and 1.
8
Let c = -2 + 5. Suppose -3*r + 2*i - 5597 = 0, 4*r + c*i = -0*i - 7457. Let p = r + 40967/22. Calculate the common denominator of p and -45/44.
44
Suppose 4*j + 20 = -j, 5*j - 75 = 5*f. Find the common denominator of 0/3 - 53/(-56) and ((-20)/(-24)*f)/((-10)/(-15)).
56
Let t = -207 + 212. Suppose -t*o + 152 = 3*o. What is the least common multiple of o and 9?
171
Let h(z) = -11*z. Suppose 0 = -j - 4*b + 52, 4*j - 6*b = -10*b + 232. Calculate