and 24.
72
Let s be -2 + 3 + 98/(-60). Let x = s + 4/5. Calculate the common denominator of x and 17211/(-3030) - (-220)/(-11110).
30
Let q = 1179567/365486 - 2/16613. Let y = -13310 - -1277747/96. Find the common denominator of q and y.
1056
Let a = -4214807/60 + 70249. Calculate the common denominator of (0/(-1) - -1)*396/(-2808) and a.
780
Suppose -50959 = -4*t - s, s + 25497 = 2*t - 2*s. Let o = t + -2000515/157. Let b = o + 32629/10362. Find the common denominator of -64/3 and b.
66
Calculate the smallest common multiple of 168/70*(1124 - (7 - -2)) and 1784.
5352
Let c = 128843/21 + -6138. Let d be (-3)/(-5)*(-1 + 1 + -5). Find the common denominator of (5 - (-13)/d) + 1 and c.
21
Suppose 2*r - 7 = 5, -2*h + r - 4 = 0. Let u(p) = p**3 + 2*p**2 - 5*p + 3. What is the lowest common multiple of u(4) and h?
79
Let m = -11598211/78 + 148693. Find the common denominator of m and 111/20.
780
Let p(y) = -338*y + 5067. What is the smallest common multiple of 2211 and p(14)?
11055
Let g = -47 - -89. Calculate the least common multiple of g and ((-200)/(-56) + -1)*14.
252
Let y = 6353/246 + -109/41. Calculate the common denominator of y and -41/336.
336
Let l(v) = -v**2 + 31*v + 198. What is the lowest common multiple of l(36) and ((-900)/(-250))/(6/40)?
72
Let a be (-2 - 1 - 0)*1. Let w(q) = -3*q**2 - 7*q. Let h be w(a). Let u = h + 34. Calculate the lowest common multiple of u and 4.
28
Let y = -247259/58410 - 1/5841. Let d(k) = k**3 + 7*k**2 + 7*k - 14. Let a be d(-5). What is the common denominator of a + -1 + (-121)/132 - 6 and y?
60
Suppose -1500 = 286*n - 4932. What is the least common multiple of (-2 + 1)*-2*6 and n?
12
Let w = 2119 + 311. What is the least common multiple of 9 and w?
2430
Calculate the smallest common multiple of (-52325)/273*((-108)/15)/4 and 207.
1035
Let i be 2/7 + 80376/8960. Let p be (-330)/224*(-3 - 13/26). Let h = i - p. What is the common denominator of 43/6 and h?
30
Suppose 456 = -3*y + 5643. Find the common denominator of 59/15 and 0 + (-2)/(-4) + y/(-114).
15
Let k(h) = h + 10. Let q be k(-8). Let z(c) = 370*c**2 - 6*c + 0*c - 371*c**q + 16. What is the least common multiple of z(-7) and 12?
36
Let f = 15 - -3. Let s(h) = h**3 + 4*h**2 - 6353*h - 25400. Calculate the smallest common multiple of f and s(-4).
36
Suppose 4*y = -5*x + 71, -8 = 2*x + 2. Let w = 760 + -756. Suppose -17*t - w*b - 33 = -22*t, 5*b - 42 = -3*t. What is the least common multiple of y and t?
72
Let n(x) = 782*x**2 + 20*x + 20. Let u be n(-1). Let k = -767 + u. Calculate the smallest common multiple of 3 and k.
15
Suppose -15*m = -12*m - 2*x - 2202, -4*m = -2*x - 2934. What is the smallest common multiple of 2 and m?
732
Let c be ((-105)/(-49))/(18/84). Let k(n) = -n**2 + 9*n + 4. Let o be k(8). Suppose o*b - 8 = c*b. What is the least common multiple of b and 3?
12
Suppose 5*q - 8*l = -3*l + 7470, 3*q = l + 4464. Calculate the least common multiple of q and 891.
4455
Let o = -56/307 - 6728/43901. Find the common denominator of o and -17/3822.
42042
Let n be 1 - -2 - (-1 + 2 - 2). Let r = 3719/3 - 1256. Calculate the common denominator of r and 292/12*(5 - n).
3
Suppose 4*c - 9 = 3*a - 3, 2*c - 10 = 5*a. Let m = -2956/195 + 343/26. What is the common denominator of m and 2/(48/7) - a?
120
Calculate the common denominator of (-91)/2028*438/63 and 7/198.
2574
Let v = 39 + 26. Let o = v + -47. Let y = 9 + o. What is the least common multiple of y and 27?
27
Let q(y) = -y**2 + 25*y - 1. Let z = -216 + 236. What is the lowest common multiple of q(z) and 6?
198
Let n = 11728 - 7353455/627. Find the common denominator of n and -91/456.
5016
Suppose -1070 = -5*i + c, 3*i + 4*c - 672 = -7. Calculate the smallest common multiple of i and 165.
7095
Let o be (6*(-2)/1)/(-2) + -3. Suppose -2*b = -o*b. Suppose 3*z - 57 + 9 = b. Calculate the least common multiple of 20 and z.
80
Let g = 2623/3 - 883. Find the common denominator of 498/(-48)*(-1)/(-3) and g.
24
Let t = 921 + -10111/11. Find the common denominator of (-3)/522*3*33 and t.
638
Suppose -4*k + 0*k + 60 = 0. Let s(u) = u - 42. Let z be s(12). Let d = z - -42. What is the least common multiple of d and k?
60
What is the common denominator of -29/200 and 1/(-186)*(-14)/8*38106/(-6090)?
6200
Let j = -2/348955 - -27567817/64905630. Calculate the common denominator of j and ((-84)/(-1008))/(4/(-106)).
744
Suppose -6*o + 1922 = -420 + 614. What is the lowest common multiple of o and 256?
2304
Let y = -83 - -88. Suppose -2*i + 1 = -y*j, -2*j + 14 = 2*i + 2*i. What is the common denominator of (978/92)/i + 27/(-18) and 32?
23
Let r(i) = -17*i**2 - 8*i + 3. Let v = 37 + -34. Let s be r(v). Calculate the common denominator of 2 + s/(-28) + -1 and -47/2.
14
Let p(i) = 3*i**2 - 166*i + 2847. What is the smallest common multiple of 4 and p(19)?
776
Suppose 20*k - 17*k = 0. What is the common denominator of 2 + -2 + 131/6 and (-316)/(-40) - 4 - k?
30
Let h = -216743/274365 + -643/585. Let v = h + -18/335. Find the common denominator of v and -59/20.
140
Let n = 35 + 3. Let b = 26 - 30. Let c = b + 8. What is the lowest common multiple of n and c?
76
Let l be (-4)/((-4)/13) - 4. Suppose l*b + 5615 = 5*b - 3*t, -3*b + t = 4208. Let z = b + 9844/7. Find the common denominator of z and 74/15.
105
Find the common denominator of ((-78526)/3640 - -11) + 11 and -65/4.
260
Let r(x) = -x**3 + 4*x**2 + 22*x - 3. Let o be r(7). Suppose 20 = -o*i, 4*z - 61 - 159 = -4*i. Calculate the lowest common multiple of z and 36.
180
Let h = 143075/22 - 6499. Suppose -i + 12 = 4*j, 5*i + 4*j = 10*i - 84. Find the common denominator of (i/640)/((-2)/265) and h.
176
Suppose -s - 2 - 2 = -b, 5*s = 0. Suppose 0*q + 3*i = 4*q - 14, -b*q + i + 10 = 0. Calculate the smallest common multiple of 2 - (5 - -4 - 19) and q.
12
Let x = -4 - -40. Let g = 21119 + -21059. Calculate the smallest common multiple of g and x.
180
Let b = 8 + -4. Suppose -b*r + r = -6, -4*n = -4*r - 24. Let k(a) = a**2 - 5*a - 3. What is the smallest common multiple of 9 and k(n)?
63
Let x(y) be the second derivative of y**4/12 - 5*y**3/6 + y**2 + y. Let i = -26 - -31. What is the lowest common multiple of x(i) and 8?
8
Let s = -7 - -10. Let p = 21101/8 + -2649. Find the common denominator of s*2/9*-2 and p.
24
Let k = -580 + 730. Calculate the common denominator of (-325)/k*1/(-3) and 17/600.
1800
What is the common denominator of ((14/(-49))/(12/(-21)))/((-42132)/(-366)) and 1/20?
70220
Calculate the common denominator of (5684/(-483))/14 + (-4 - -4) and -29/161.
483
Let q be (-16)/((-2)/2)*166. Let c = q + -23930/9. What is the common denominator of c and (1/2)/(54/3942)?
18
Let o = -40081/31004 - -95/337. Find the common denominator of o and -103/92.
92
Let x = -474 - -158. Let k = x + 372. What is the smallest common multiple of 16 and k?
112
Find the common denominator of ((-52)/(-42))/((-70400)/660) and -17/4320.
30240
What is the common denominator of 3585/(-261) - (-1068)/15486 and ((-158)/(-10))/(0 + -3)?
15
Let j be 47179/(-77) - 2/7. Let w = j + 1193/2. Let g = -11149/4 + 2808. Calculate the common denominator of g and w.
4
Let a = 43 - 26. Suppose 0 = -a*v + 14*v - 462. Find the common denominator of ((-106)/(-18) + 1)/(v/(-33)) and -49/15.
105
Let z = -7361/418 + 493/38. What is the common denominator of 29/4510 and z?
4510
Suppose 4*r - 4*z = 28, 92*r - 95*r - 14 = 4*z. Let v(h) = h**2 + 2*h - 3. Calculate the least common multiple of v(-5) and r.
12
Let s(m) = -8*m - 4. Let b = -1378 + 1435. Calculate the smallest common multiple of b and s(-2).
228
Suppose 0 = 11*u + 275 - 2013. Let o = 178 - u. Calculate the smallest common multiple of 278 and o.
2780
Let j(s) = 9*s**2 - 29*s - 96. Let d(l) = 4*l**2 - 14*l - 48. Let v(o) = -7*d(o) + 3*j(o). Calculate the smallest common multiple of 58 and v(14).
174
Let z(i) = -643*i**2 + 5*i + 6. Let t be z(-2). Let u = t - -90. Calculate the common denominator of (u/12)/11 + 4 and 45/2.
6
Let k = 2851/12 + -692/3. Let m = 351 - 595. Find the common denominator of k and ((-3)/27)/(4/m).
36
Let t(o) = 399*o - 1147. Let f = -7 + 22. What is the smallest common multiple of t(3) and f?
150
Suppose 2*q = -4*g + g - 174, 0 = 4*q - 4*g + 328. What is the smallest common multiple of (q/126)/((-2)/33) and 30?
330
Let o = -