4
Let m(s) = -s**3 + 4*s**2 + 2*s - 3. Let y = -41 - -45. Let r be m(y). Suppose l + 38 = r*w - l, -5*w + 41 = l. Calculate the lowest common multiple of w and 6.
24
Calculate the common denominator of 98/(-114905)*145/4 and 3/14.
938
Let h be 5/10 + (-4)/6. Let n = -7/60 - h. What is the common denominator of (1/((-4)/(-50)))/(-16) and n?
160
Let b be ((-3)/3 + -4)/((-2)/2). Suppose -b*h = 2*n - 27, -3*n - 3*h - h + 30 = 0. Calculate the smallest common multiple of n and 134.
402
Suppose -3*x + 7*x - 109 = 3*o, o + 27 = -x. Let j be o - (4/4 + 2). Let s = j + 42. Calculate the lowest common multiple of 2 and s.
8
Suppose -2*g = -17*g - 5460. What is the common denominator of -59/49 and (-1755)/g + -1 + 0?
196
Let x = -25213/13328 + 66/833. What is the common denominator of x and -93/15800?
31600
Let y = 2/124915 - 64959/199864. Find the common denominator of (226/48)/((-6)/4) and y.
360
Let f = 3826 - 103343/27. Calculate the common denominator of 14*-1*(-4)/6 and f.
27
Let m(x) = x**3 - 10*x**2 + 10*x + 42. Let b be m(8). What is the common denominator of 83/15 and (-69)/27 + (-6)/(-12)*b?
45
Let o = -1602 + 3129/2. Let h = 7989/13 - 3881471/6318. Calculate the common denominator of o and h.
486
Let q(j) = j**3 - 8*j**2 + 24*j - 33. Calculate the lowest common multiple of 399 and q(5).
1596
Let m be ((-6)/9)/(6/(-18)). Suppose -6*i = -5*i - m. Calculate the smallest common multiple of 5 + -1 - (-6 - -1 - -1) and i.
8
Let i be (-15 - 0/1)*(0 - 17). Let w be 2 + i/(-4) + (-12)/48. Let x = -61 - w. Calculate the lowest common multiple of x and 66.
66
Let p = -12173 - -12193. Calculate the lowest common multiple of 1465 and p.
5860
Let x = -5 + 11. Suppose -139*q + 3280 = -103*q - 77*q. What is the common denominator of (-4 + 60/18)/(q/x) and -47/18?
180
Let c = 1074/11 + -1609/22. Let z = -36 + 29. Find the common denominator of c and z - -9 - 31/29.
58
Suppose -75*n - 717 = -1542. Calculate the smallest common multiple of 623 and n.
6853
Let h be (3/2)/(-3) + 21/2. Suppose -2*m - h + 34 = 0. What is the lowest common multiple of 58 and m?
348
Let j(h) = h**2 - 9*h - 95. Let q be j(-9). Let g = q - 22. Calculate the smallest common multiple of g and 30.
90
Let p = 164682 - 164648. Let x(y) = 6*y - 4. What is the smallest common multiple of x(4) and p?
340
What is the least common multiple of 225 and (48/14)/(-12) + 8412/42?
1800
Let p(z) = 16*z**3 - z**2 + z - 1. Suppose -2*x = 5*u - 66, -5*x - 1498*u + 210 = -1493*u. What is the lowest common multiple of p(1) and x?
240
Suppose 4*b = -3*j - 18, 0 = -2*j - 3*b - 26 + 14. What is the common denominator of 6/(-10) - j/(9480/68) and -33/7?
553
Find the common denominator of (2/72)/(20/1569) - (-930)/(-4650) and 94/(-12) + 2 - -3.
48
Let x be -3 + 5 - -76 - -1. Let z be (-2 + 3)/(2/206). Let r = z - x. Calculate the smallest common multiple of r and 12.
24
Suppose 0 = -3*d - 3*p + 161 + 7, 5*d - 5*p = 260. Let b(n) be the first derivative of -21*n**2/2 - n - 1. What is the lowest common multiple of b(-1) and d?
540
Let h(b) = 10*b**3 - 2*b**2 - b + 2. Let y be h(1). What is the least common multiple of 1 + -5 + y + 4 and 5?
45
Let l be (14/(-21))/(2/(-6)). Suppose -7*m = -8*m + 8. What is the lowest common multiple of m and l*1*50/20?
40
Let m = 315661 - 193184641/612. What is the common denominator of m and 49/9?
612
Suppose 151243 + 10659 = 233*m - 199481. What is the smallest common multiple of 1269 and m?
13959
Let g = 937/225 - -1/450. Let n = 83958512/45 - 1865657. Let w = 745/9 - n. Find the common denominator of w and g.
30
Let i(z) be the second derivative of z**5/20 - z**4/12 - 4*z**2 - 21*z. Let m = 155 + -103. Calculate the least common multiple of m and i(4).
520
Let p(q) = 31*q - 1946. Calculate the lowest common multiple of p(68) and 174.
4698
Let u(k) = 46*k - 409. What is the lowest common multiple of u(22) and 1005?
3015
What is the common denominator of ((-26)/(-91))/(48/(-1778)) and -7 + 0 - 34/(-5)?
60
Let x = -142867/8 + 17848. Calculate the common denominator of 97/4402 and x.
17608
Let i be (-12)/30*(-2*2 - 1). Suppose 3*k - 3*l = i*k + 23, 2*k = -5*l - 9. What is the least common multiple of k and 17?
136
Suppose 15*f - 3 = 57. Suppose 5*i = 2*x + 4, -27 + 7 = -f*i - 4*x. Calculate the smallest common multiple of i and -6*(2 - (5 - 2)).
6
Let d(f) = -2*f**2 - 19*f + 50. Let p be (128/120)/8 - 152/15. What is the least common multiple of 12 and d(p)?
120
Let t = -644686253/834 + 773005. What is the common denominator of 35/3 and t?
834
Suppose -b - 22 = -5*i + b, 4*i - b - 17 = 0. Suppose -2*x + 192 = i*t, 24*x - 29*x + 545 = -3*t. What is the lowest common multiple of x and 6?
318
Suppose 0 = 3*k - 1 - 5, -32 = -5*d + 4*k. Suppose -d*h + 22 = 6. Calculate the lowest common multiple of 40 and h.
40
Suppose 8*y = 19*y - 264. Calculate the least common multiple of y and 6.
24
Let s(p) = -p**3 + 26*p**2 - 7*p + 189. Let l be s(26). Let j = 35 + -17. Suppose l*m - j = 94. Calculate the smallest common multiple of 2 and m.
16
Suppose 0 = 100*d - 144170 - 45730. Calculate the smallest common multiple of d and 6963.
20889
Let n(q) = -q**2 - 11*q + 1. What is the lowest common multiple of 144/(-936) - (-1)/(52/840) and n(-10)?
176
Find the common denominator of 34/1025 and 12298/900 + 4704/(-336).
18450
Let d = 546 - 531. Suppose -360 = -0*l - d*l. What is the smallest common multiple of 32 and l?
96
Find the common denominator of (-16 - (-690)/42) + 3256/(-3388) and (47/(-5))/((-112)/10).
616
Let g = -161310 + 161314. Let k(t) = 3 + 0*t**2 + 3*t - t**3 + 7*t**2 + 0*t**2. What is the lowest common multiple of k(7) and g?
24
Let a = 8576 + 22085. What is the smallest common multiple of 1 and a?
30661
Suppose 11*p + 4*b = 8*p - 20, -p - 2*b - 8 = 0. Let t(i) = 2*i + 28. Calculate the lowest common multiple of 34 and t(p).
340
Let m = 2/41735 - 192081/2086750. What is the common denominator of m and 40/9?
2250
Let n be 875/20 + 3 - 12/16. Suppose 0 = n*f - 42*f - 48. What is the lowest common multiple of f and 9?
36
Suppose 2*s + 17 = 125. Suppose -4*x = -h + 38, 2*h = -2131*x + 2128*x - 12. What is the least common multiple of h and s?
54
Suppose 18 - 58 = 10*b. Find the common denominator of -47/52 and b + 7 + (70/(-44))/(-1).
572
Calculate the smallest common multiple of 12 and 41 + -5 - (0 - (-1 - 0))*6.
60
Let r = -11368/11691 - 28/433. Calculate the common denominator of r and ((-74)/2775)/(6/230).
135
Let q = -200709236/55 - -3649441. Let p = -2762/15 + q. Let n = 1219/516 - 55/43. What is the common denominator of n and p?
132
Let k be (-298)/(-10) + (-24)/(-20) + -1. Suppose 12*o = k + 42. What is the lowest common multiple of 10 and o?
30
Find the common denominator of 101/250 and (-258)/(-21285)*(368/100 + -4).
8250
Let w = 61/16 + -41/6. Let k be -3296 - ((-3)/3 + -4 - -6). Let b = k - -19847/6. Calculate the common denominator of b and w.
48
Let w = 2/1765 + -79477/45890. Calculate the common denominator of w and 127/150.
1950
Calculate the common denominator of (314/27)/(1408/192) - 2 and (-1)/((-363)/177 + 2).
99
Let i = -1946/5 - -3777/10. Calculate the common denominator of -21/155 and i.
310
Let h = -23 + 28. Suppose 19 = -7*f + h. What is the smallest common multiple of (-1)/f + (-126)/(-12) and 16?
176
Let f = -497/87 + 294859/50808. Find the common denominator of f and 119/2190.
8760
Let n(i) = 60*i**2 - 15*i - 11. Calculate the lowest common multiple of 740 and n(-2).
5180
Suppose -v + 1 = -0. Let r be -4 - (-41238)/40 - v. Let p = 4081/4 - r. Calculate the common denominator of 133/6 and p.
30
Let c be ((-655)/30)/(1962816/(-981453) + 2). Let j = c - -238094. Calculate the common denominator of -59/198 and j.
1980
Let v = 2366222339/2820 + -839086. Calculate the common denominator of 139/18 and v.
8460
Suppose -10*b = -13*b + 6, -4*b - 28 = -2*d. What is the smallest common multiple of (-12)/(-60) + 89/5 and d?
18
Let i be 38/(-1) - (-1 - -2). Suppose 226*f - 232*f - 672 = 0. Find the common denominator of (-6)/(-21) - i/f and 99/2.
16
Let x = -49514/7 - -7079. What is the common denominator of -67/1008 and x?
1008
Let y(d) be the second derivative of -2*d**3/3 + 42*d**2 + 40*d. Let w be y(10). Suppose 4*f - 52 = w. Calculate the lowest common multiple of 21