
Let q = 112 - 140. Let c = -31 - q. What is the lowest common multiple of 5 and (c + 1)*(-1 - 3)?
40
Let r = -7 + 6. Calculate the smallest common multiple of 28 and r/((-20)/(-12)) + (-1015)/(-25).
280
Let q(u) = -125*u + 441. Calculate the smallest common multiple of q(0) and 28.
1764
Suppose 3*g = -3*y - 24, 2*y + 44 = -3*y - g. Calculate the common denominator of -52/15 and y/6*34/11.
165
Suppose 4*f = -2*n - 8, 10*n - 5*f = 13*n + 8. Suppose l - n*l = -138. Calculate the smallest common multiple of l and 22.
506
Let l = 8762177/72 - 121695. Calculate the common denominator of -77/90 and l.
360
What is the common denominator of -56/33 and (-1760)/(-8954)*2/15?
1221
Suppose -759 = -4*i + 249. Suppose 2*n - 3*d - i = 0, -4*n - 4*d = -5*n + 131. Let t = n - 119. Calculate the lowest common multiple of t and 25.
100
Suppose -2*p + 4*o + 1300 = 0, -p - 4*o = 3*p - 2588. Suppose 30*w = 3*w + p. Calculate the smallest common multiple of w and 141.
1128
Let y = 15 - 73. Let g = -6440/1161 + -10/1161. Find the common denominator of g and y*(1025/(-340) + 3).
306
Let g = 73 - 69. What is the smallest common multiple of 6 and ((-6)/(-15) + g)*20?
264
Let i be ((-13364)/6)/((-3)/9). Let a = -53391/8 + i. Let d = -92663/217 - -5997/14. What is the common denominator of a and d?
248
Suppose -693*a = -812*a + 28745 - 2327. Calculate the smallest common multiple of a and 6.
222
Let r(s) = -9*s**3 + 4*s**2 - 43*s - 144. What is the least common multiple of 660 and r(-3)?
1320
Let f(a) = -a**3 + 6*a**2 + 3*a - 16. Let y be f(6). Suppose 0 = 2*z + z + y*w - 18, 4*z = 2*w + 24. What is the lowest common multiple of z and 24?
24
Suppose -11*p + 0*p = -25*p + 24346. What is the least common multiple of 6 and p?
10434
Let u be ((-1540)/344 - -3)*1 - 7. Let k = 48/19 + -2083/817. Let b = u + k. Find the common denominator of 25/18 and b.
18
Suppose 5*l - 8163 = s, 4*l = 2*s + 1659 + 4875. Calculate the smallest common multiple of l and 6.
1632
Suppose 0 = 5*l + 3*y + 11, -3*y + 12 = -5*l - 17. Let h(m) = m**3 + 4*m**2 - 3*m - 9. Let o be h(l). Calculate the least common multiple of 1/(o/33*1) and 9.
99
Suppose 3*i - 95 = 5*k, -2*i + 99 + 1 = 4*k. Let v = -8310 - -8355. Calculate the smallest common multiple of v and i.
360
Let n = 36 + -26. Let u(a) = 1474*a + 1481*a - 2953*a - 10. Calculate the lowest common multiple of 1 and u(n).
10
Let n = 1097744/111 - 17239/37. Let f = -9172 + n. Let h = -231 + f. Calculate the common denominator of h and 48.
3
Calculate the common denominator of -43/90 and -1 + 4788/459 - 11.
1530
Let o(f) = f**3 - 15*f**2 + 11*f - 33. Let t be o(15). Suppose 13*z - t = -54. Calculate the lowest common multiple of z and 444.
444
Suppose 2*i = -4*t - 48, -2*i + 58 = -3*t + 2*i. Let z(a) = a**2 + 23*a + 131. What is the least common multiple of z(t) and 392?
1960
Find the common denominator of 117670/38376 + 22/(-8) and 19/65.
585
Let c be ((-14763)/846)/((-204)/(-16)). Let w = c + 166/153. Find the common denominator of 10/7 and w.
987
Let j = 303420638 + -38230791995/126. Let m = j + -1654. Calculate the common denominator of m and -33/56.
504
Let b be -1 + 26/8 + 1/(-4). Suppose b*s - 4 = 2*m, -31 = -2*s - s - 2*m. What is the lowest common multiple of s and 2?
14
Suppose 7*x - 4*x - 9 = 0. Suppose -155 = -5*f + 4*w, 2*w + 7 = -x. Calculate the smallest common multiple of f and 30.
270
Let s(c) = c**2 - 26*c + 178. What is the smallest common multiple of s(19) and 10?
90
Let j be -16 + 20 + 414/(-19). Let b be 67578/(-4446) + (-9 - -6). Let y = j - b. Find the common denominator of y and -59/30.
390
Let q(u) = -5*u + 11. Let r be q(0). Calculate the least common multiple of 54 and -1 + 570/r - (-54)/297.
918
Let v = -1323068 - -1286021965/972. What is the common denominator of 10/189 and v?
6804
Let o = 7228 - 6638. What is the lowest common multiple of o and 531?
5310
Let b be (-4)/(-25)*(-36)/(-272)*-90. Let h = 25251/12580 + b. Let r = h - 224/111. Calculate the common denominator of -157/30 and r.
60
Let b = 9002 + -8897. Calculate the smallest common multiple of b and 270.
1890
Let w be 2562 + (-3 - -5) + -1. Let r be 105/(-28)*(-34212)/(-50). Let i = w + r. Find the common denominator of i and 54/11.
110
Let f(z) = -10*z - 12. Let v be (-72)/30 + (-3)/5. What is the lowest common multiple of 10 and f(v)?
90
Let w = 701/1896 + 86/79. Calculate the common denominator of ((323360/384)/43)/((-10)/4) and w.
24
Let j(w) = -12*w**3 + 7*w**2 - 3*w - 6. Calculate the least common multiple of 234 and j(-3).
1170
Suppose -3 = 11*c - 47. What is the common denominator of ((-1)/(-16))/((-6)/(-728)) and (c/144)/(5/1150)?
36
Suppose -l + 3*y = 5900, 5*l - l + 23600 = 3*y. Let g = -165223/28 - l. Find the common denominator of ((-608)/28 + 2 + 13)/(2 + 2) and g.
28
Let y(g) = 1021*g**2 + g. Let a be y(1). Let z = a + -2125/2. What is the common denominator of 93/26 and z?
26
Let h(r) = 4*r + 16. Let k be h(15). Let q = -78 - -14. Calculate the common denominator of (((-140)/q)/7)/(2/k) and 89/8.
8
Let l(t) = -40*t**3 - 3*t**2 + 3*t + 5. Let a be l(-1). Suppose -a*r + 43*r = 16. Calculate the smallest common multiple of r and (-1)/(-4)*8/2.
4
Let v(n) = 299*n - 3389. Calculate the smallest common multiple of v(23) and 1308.
10464
Let z be (0 + 11/(44/24))*18. What is the common denominator of 3/(-36) + 9/12 and (96/z)/(-3 - (-6)/3)?
9
Suppose 5*q - 49 = -6*r, 0 = -40*r + 39*r + 2*q - 6. Calculate the lowest common multiple of 224 and r.
224
Let k = 25981/3 + -86561/10. What is the common denominator of 0 - 2 - (-550)/780 and k?
390
Suppose 2*y - 488 = -7*o + o, 3*y - 412 = -5*o. Calculate the smallest common multiple of 844 and o.
16880
Suppose -173 = -10*x - 13. Suppose 78 = -x*b + 302. Calculate the smallest common multiple of b/4 - ((-1)/(-2))/(-1) and 2.
4
Let t = -19467094 - -233021115433/11970. Let b = 1/190 - t. Calculate the common denominator of 17/72 and b.
504
Let f(n) = -n**3 - 9*n**2 - 20*n - 42. Let i be f(-7). Suppose -91*y + 79*y + 600 = i. What is the least common multiple of y and 45?
450
Suppose -3*g + 0*g + 25 = 5*f, -2*f + 9 = g. Let i(k) be the second derivative of k**4/4 - k**3/6 + 2*k. Calculate the smallest common multiple of i(f) and 16.
80
Let l = -168485059/20555 + 40984/5. Find the common denominator of 8/3 and l.
12333
Let k = -5/1869 + 78583/31773. Let y = -65/102 + k. Find the common denominator of y and (-11)/(-1) + (115699/222)/(-53).
6
Let b be (32/(-80))/(24/214070). Let q = b + 3579. Find the common denominator of (37/20)/((-594)/(-45)) and q.
264
Let n = -10475/22 - -477. What is the common denominator of 11/44 + 133/60 and n?
330
Let o = -47430 - -47809487/1008. Calculate the common denominator of -99/16 and o.
1008
Let n(d) = -7*d**2 - 249*d - 122. Let x be (0 - 1)/((-1)/55). Calculate the smallest common multiple of n(-35) and (-8)/20*(0 - x).
198
Let h(a) = -2*a**2 + 19*a - 5. Let f be h(7). Let r = 117 + f. Suppose -3*b - 57 = -r. Calculate the smallest common multiple of 40 and b.
120
Find the common denominator of -14*2/(-9576)*-112 and 101/2698.
24282
Let k = -304 + 286. What is the common denominator of 0 - (k/(-243))/(148/438) and 49/11?
3663
Suppose r - 3*g + 10 = 6*r, 6 = -r + g. What is the lowest common multiple of r*1*44*15/(-60) and 4?
44
Let k(p) be the second derivative of 41*p**4/4 + p**3/2 - p**2/2 + 2*p - 51. Calculate the lowest common multiple of 10 and k(1).
250
Let z = 463579/16898 + -3180/119. Calculate the common denominator of z and (-62 + -1)*1/2.
142
Let b = 9718 + -194309/20. Find the common denominator of b and -1/1856.
9280
Let j = -1055702/35169645 - 190/14563. Calculate the common denominator of j and 8/15.
2415
Let n = -102 + 76. Find the common denominator of (-23 - n)*5/(-7) + 1 and 9/46.
322
What is the common denominator of (-423)/60 + (15 - 9 - 2) and 59/14?
140
Suppose -4*v = -2*k + 6, -2*k + 13*v + 12 = 15*v. Suppose -2*b = -k*w - 21 - 140, -4*b + 337 = -5*w. Calculate the least common multiple of 24 and b.
264
Let t be 0 - (-6)/15 - (-9137)/(-5130). Let g = t + 62/171. Find the common denominator of g and -25/6.
54
Let o(r) = r**3 - 2*r**2 - 3*r + 4. Let h be o(3). Suppose 3*s - h*s - 3792 = 0. Let b = 41742/11 + s. Calculate the common denominator of -63/20 and 