4. Let p = o + -461. What is the least common multiple of p and 124?
992
Suppose 10*q = -2*w - 10*q - 44, -4*w + 76 = -q. Calculate the lowest common multiple of 223 and w.
4014
Suppose -438 = -2*w + 3*j - 153, -j = 4*w - 577. What is the common denominator of 89/6 and 460/w + 9 + 2/9?
12
What is the common denominator of -30/1519 and (-18)/(-4)*2205/6860?
12152
Let v(n) = 47*n - 92. Let q be v(2). Suppose 58*p + 12 = 62*p, -2*r + 126 = q*p. What is the least common multiple of r and 66?
660
Let p be (7/14)/((-1)/(-64)). Suppose -20*t + 16*t = -p. Suppose 0*q - 10 = -5*q. Calculate the smallest common multiple of t and q.
8
Let j = 451 + -412. Suppose 0 = 13*n - 15*n - 3*u + 26, -3*n = -4*u - j. What is the lowest common multiple of 8 and n?
104
What is the common denominator of 378/208 - (15 - 14) and -53/10?
520
Let q(t) = -t**2 + 16*t - 8. Let b be q(10). Suppose -4*n - b = -8*n + 3*l, -38 = -3*n + 2*l. Calculate the smallest common multiple of n and 1808.
9040
Let x(t) = t**3 + 7*t**2 - 6*t - 9. Let j be x(-7). Calculate the smallest common multiple of -1 - 4/((-4)/j) and (-2*-3*(-65)/117)/(1/(-3)).
160
Let z = 1355 - 927. Suppose -50*w + 1192 = 36*w + 63*w. What is the lowest common multiple of z and w?
856
Let h(w) = 2*w**2 - 5*w + 2. Let b be h(3). Suppose b*z - 15 = -0*z. Calculate the smallest common multiple of 10 and z.
30
Let v be ((-30)/4)/3*(-38)/95. What is the least common multiple of (-20)/(-1) + (v + 2 - 3) and 204?
1020
Let v be 21/(-14)*1/(-3717). Let k = 383/1239 + v. Calculate the common denominator of -11/54 and k.
378
Let b(v) = -v + 5. Let u(s) = 2*s - 4. Let m(a) = -2*b(a) - 3*u(a). Let k be m(4). Let t = 36 + k. What is the lowest common multiple of t and 36?
396
Let m(k) = 8*k - 1 - 2 - k**2 - 1. Let r be m(7). Suppose -3*l + 12 = 3*v, 0 = 4*v - 0*l - r*l - 2. What is the least common multiple of 9 and v?
18
Let n(p) = -p**3 - p**2 + 3*p + 2. Let h be n(-2). Suppose 5*g + 0*g - 40 = h. What is the least common multiple of ((30/(-12))/(2/4))/(25/(-30)) and g?
24
Suppose 4 = -5*q + 2*i, 18*q - 17*q + 2*i - 4 = 0. Suppose 8*n - 442 - 102 = q. Calculate the smallest common multiple of 22 and n.
748
Let r be ((-9)/(-2))/(2/(-20))*7. Let z = -3 - -9. What is the lowest common multiple of 4/(-6)*r/42 and z?
30
Suppose 792 + 83 + 181 = 32*k. Calculate the lowest common multiple of (7 - -2)*(-2)/(-3) and k.
66
Let w(c) be the second derivative of c**5/20 - c**4/3 + 7*c**3/6 + 13*c**2 - 49*c. What is the lowest common multiple of 54 and w(4)?
54
Suppose 4*s - 2*f = 0, 5*s = 2*f - 4*f. Suppose s*w - 14*w + 140 = 0. What is the lowest common multiple of w and 20?
20
Let p be ((-24)/(-270)*-3)/(99/(-285)). Let b = p - -2843/1584. Let k = 11946 - 334571/28. What is the common denominator of b and k?
112
Let f(s) = -47*s - 154. Let a be f(6). What is the common denominator of a/(-48) - (18 + -20) and (26/(-81))/(4/(-33))?
108
Suppose 0 = 42*u + 4304 - 9008. Suppose 5*j + 5 = 3*v, -3*v - 4*j - 6 = -2. Suppose -2*w + v*w + 32 = 0. Calculate the least common multiple of w and u.
112
What is the smallest common multiple of 150/(-9)*(-9)/(-5)*-2 and (4/14)/(1/(-168)*-12)?
60
Suppose 3*k - 4*o - 448 = 0, -5*k - 21*o + 716 = -20*o. What is the smallest common multiple of 120 and k?
720
Suppose 0 = -287*z + 273*z + 6 + 22. Let v(n) = 7*n - 18. What is the least common multiple of v(9) and z?
90
Suppose 29*m = 12*m + 221. What is the smallest common multiple of (9 - (9 - m)) + -1*1 and 28?
84
Let m be 25 + -24 - 3160/3182. Let l = 59989/162282 - m. What is the common denominator of 85/18 and l?
306
Let d(i) = i**3 - i**2 + 2*i - 2. Suppose 10 = 2*n + 4. Let t be (n/8)/((-1)/(-8)). Calculate the smallest common multiple of 10 and d(t).
110
Let z = -28 + 26. Let f(y) be the first derivative of 4*y**3/3 + 5*y**2/2 + 4*y + 5. Calculate the lowest common multiple of f(z) and 10.
10
Suppose 0 = -12*u + 48 + 132. What is the common denominator of (130/u)/(-13) - 86/(-42) and -87/28?
84
What is the common denominator of -141/2590 and (-20)/(-6)*1650/(-88)*12/(-8880)?
10360
Let l = 1/7414 + 100081/59312. Calculate the common denominator of 61/592 and l.
592
Suppose 4*s = -5*i + 695, 263 - 1483 = -7*s - 5*i. Calculate the smallest common multiple of s and 200.
1400
Suppose 1 + 7 = 4*y. Suppose 2*x = 3*x - 5. Suppose -p - x = 0, 2*s + p - 75 = -y*s. Calculate the least common multiple of s and 12.
60
Let p(h) = -6*h + 348. Suppose -2*w + f + 85 = -4*f, 121 = 3*w - f. Calculate the smallest common multiple of p(w) and 48.
432
Suppose 3*h + 4*t = -11, -4*h - 4*t = -t + 17. Suppose -u + 0*u = -6. What is the least common multiple of (h/3)/(175/(-840)) and u?
24
Suppose -3 = 56*q - 55*q. What is the common denominator of q/(-35) - (-8)/20 and 13/42?
210
Suppose d - 5*u - 34 = 0, -u - 1568 = -d - 1554. Calculate the smallest common multiple of 239 and d.
2151
Let s(t) = 0*t**3 + 1 + 5*t**2 + 5*t + 4 + t**3. Let i be s(-4). What is the smallest common multiple of 18 and -2 - i - (-10 + 1)?
18
Suppose -4*w + 1314 + 860 = 478. What is the lowest common multiple of w and 12?
1272
Let j be -3 + (-19 - 1129 - (0 - -1)). Let y = -2/1879 - -120262/5637. Find the common denominator of 3 - ((-1)/(-4))/((-28)/j) and y.
21
Suppose 2*u = -2*u - 2*q + 342, -u + 5*q + 113 = 0. Suppose 15*o = 18*o - 264. Calculate the smallest common multiple of o and u.
88
Suppose 0*c + 9 = -3*c. Let v be (-6)/(4/132*c). Let u = 78 - v. What is the least common multiple of 154 and u?
924
Let k be (-10)/7*42/(-12). Find the common denominator of 65/2 and ((k/(-15)*-1)/(-3))/1.
18
Let f(p) = 53*p**2 - 2*p + 1. Suppose -1430*g + 1426*g - 2*y + 336 = 0, 3*g = 4*y + 329. Calculate the lowest common multiple of g and f(1).
364
Let i(j) = 7*j**3 + 2*j**2 - 3*j + 2. Suppose 3*d + 11 = b - 19, b - 5*d - 30 = 0. Calculate the lowest common multiple of i(2) and b.
60
Calculate the common denominator of (42/8)/(5/15) and ((-9)/96)/(3/(-162)).
16
Let y = -483581/64 - -7557. Calculate the common denominator of y and (-2*(-45)/(-24))/8.
64
Let x = 330/157 + -30685/3768. What is the common denominator of x and (-437)/(-1491) - (67 - (-35100)/(-525))?
1704
Suppose 45*x = 33*x + 456. Suppose -4*n = -x - 598. Calculate the least common multiple of n and 27.
1431
Find the common denominator of (-17 - (-786)/87) + (-1 - -9) and 8.
29
Suppose -5145 = -18*m + 7167. Find the common denominator of 35/167 and 6 - 1 - 4484/m.
1503
Suppose -3*z = 3*x + 15, 2*z + 18 = -4*x - 0. Calculate the common denominator of (-14)/(-60) - (1 + -1 - x) and 34/21.
210
Suppose r + 0*r - 13 = k, 5*k = 2*r - 38. Suppose 5*s + 132 = r*s. Suppose -s = 4*h - 121. Calculate the least common multiple of h and 6.
66
Let s be 2/(-19) + 56888/(-8645). Let z = -787/105 - s. Calculate the common denominator of -119/246 and z.
1722
Let m(w) = -5*w**3 + 223*w**2 + 97*w - 297. Calculate the least common multiple of m(45) and 474.
1422
Calculate the common denominator of -51/77 and 54/21 + (-81 - -75).
77
Suppose -2*v + 753 = -3*p - 2320, -4*v + p = -6141. Find the common denominator of 67/36 and v/(-300) + (-7)/(-1).
180
Suppose -58 = -5*i + 62. Suppose 20*n = 18*n - i. Calculate the least common multiple of (30/n)/(2/(-4)) and 5.
5
Let m(w) = -w**3 - w**2 - w + 1. Let h be m(-2). Suppose -1869 + 276 = -59*u. Let n = u - h. What is the least common multiple of 40 and n?
40
Let w be 87 + (0 - 0) - -1. Suppose -2*a = -10*a + w. Suppose -a*i + 12 = -21. Calculate the smallest common multiple of 4 and i.
12
Let u be 6938/(-10) - ((-594)/55 + 11). Let q = u + 1018. What is the lowest common multiple of q and 12?
324
Let t = -22 + 25. Suppose t*j - 40 = -13. Suppose s = -i + 3, -2*i - i + 5*s + j = 0. Calculate the lowest common multiple of 7 and i.
21
Calculate the common denominator of (-5)/(-16)*-5*354/(-150) and 3 - 13*(-3)/84.
112
Calculate the common denominator of (40/(-135))/((-35)/(-21)) and 16/165.
495
What is the common denominator of 23/1452 and (-1672)/(-798)*43/32 + (-3 - 0)?
20328
Let s = 10430 + -9751. What is the lowest common multiple of s and 1067?
7469
Calculate the common denominator of -79/10324 and 56/(10976/(-5537)) - -2*(-6)/(-4).
10324
Suppose 0 = -210*y + 134*y + 10032. What is the least common multiple of y and 36?
39