d the common denominator of 3/32 and (-48)/(-104) - (-306119)/(-654160).
5920
Let h = 62 + -57. Suppose 4*t = -5*f + 42, 0 = 2*f + t - h*t. Suppose f = 3*z - 3*i, 3*z + 2 = 5*z - 3*i. What is the least common multiple of 6 and z?
12
Suppose -12*x + 1000 = 38*x. Suppose 1994 = 12*h - 406. Calculate the lowest common multiple of x and h.
200
What is the common denominator of 5/((-21280)/1501)*-4 and -67/3816?
26712
Calculate the common denominator of 59/80 and 2/1 - (16677/(-336))/(-17).
560
Suppose 133*y = 134*y + 4*k - 16, 0 = -5*y - k + 61. Suppose -q - q = -5*n + 86, 2*q = -4*n + 58. Calculate the lowest common multiple of n and y.
48
Suppose 3*y - 5 = -4*x - 4, 4*y = 5*x + 22. Suppose 0 = -y*t - 216 - 24. Calculate the common denominator of -73/6 and (210/t)/((-162)/152).
54
Let w = -9777 + 136925/14. What is the common denominator of w and 63/956?
6692
Let f(d) = 498*d**2 + 4*d - 3. Let r be f(1). Let h = r - 375. Calculate the least common multiple of 7 and h.
868
What is the common denominator of -101/684 and 1/4 - (3 - (-270)/(-95))?
684
Let p(d) = -d**3 - 2*d**2 - 4*d - 6. Suppose 16*q - 61*q + 266 = -814. Calculate the least common multiple of q and p(-4).
168
Let k = -62 + 36. Suppose -51*a + 33*a + 4860 = 0. What is the common denominator of 47 - (a/65 + 6/(-39)) and k?
1
Suppose 5*x = -5*r + 3*r + 23, -r = -5*x - 49. Calculate the least common multiple of r and 3 - ((49/147)/((-1)/(-9)))/(-3).
24
Let v = 243 - 519/2. Let c(j) = j**3 - 23*j**2 - 13*j - 37. Let b be c(23). Find the common denominator of 767/30 - (-8 + b/(-40)) and v.
6
Suppose 4*m - u - 57 - 23 = 0, 5*m - 83 = -3*u. Suppose -4*c + m = -17. Suppose -325 = -32*v + 187. What is the lowest common multiple of c and v?
144
Suppose 52 = -o + 2*v, -4*o - 4*v - 222 = -5*v. Find the common denominator of 7/(o/25)*10/55 and 29/6.
132
Suppose 87*h = 89*h - 940. Calculate the smallest common multiple of 16 and h/13 + 22/(-143).
144
Let h = -65 + 119. Suppose -15*p + 3*a = -13*p - 141, -p + 81 = -5*a. Calculate the smallest common multiple of h and p.
594
Let i(a) be the third derivative of a**5/60 + 7*a**4/24 + 3*a**3/2 - 4*a**2. What is the least common multiple of 1*14 + 285/(-95) and i(-6)?
33
Let p = 191681/18 - 10652. Find the common denominator of p and -9/1274.
11466
Suppose 0 = 12*g - 9*g - 1371. Let z = g - 417. Calculate the lowest common multiple of z and 60.
120
Let k(t) = 22*t**2 - 5*t - 1. Let n be 3/(((-132)/8)/(-11)). Calculate the lowest common multiple of 77 and k(n).
77
Let i(l) = -l + 1. Let r be i(-1). Let q = 689/48 - 111/16. What is the common denominator of q and (r/(-10))/(46/(-575))?
12
Suppose 46322 + 8694 = 23*a. Calculate the lowest common multiple of a and 368.
4784
Let m(p) = 4*p**2 + 11*p + 31. Let j(x) = 5*x**2 + 13*x + 29. Let h(k) = -3*j(k) + 4*m(k). What is the smallest common multiple of h(0) and 9?
333
Let c be (2 + -12)*(-67)/10. Suppose 0 = 13*w + c - 431. Calculate the smallest common multiple of 108 and w.
756
Let o be (-5 - 2334/(-468))*2702/5. Let k = o + 44/39. Calculate the common denominator of ((-475)/(-10)*-2)/2 and k.
10
Calculate the common denominator of (-34)/42 - (180/(-81) - -2) and 149/54.
378
Suppose -713*a - 279248 = -744*a. Calculate the smallest common multiple of 12 and a.
27024
Let w(f) = 2*f**3 - 146*f**2 - 4*f + 298. What is the least common multiple of w(73) and 871?
5226
Let r = 1 - -43. Suppose q = -3*l + 29, -8*q - 22 = -2*l - 10*q. Calculate the least common multiple of l and r.
396
Let a be 0 - (-28 + -1 - 3). Let o(g) = -g**2 - 8*g + 34. Let h be o(-10). Suppose 0 = -16*f + h*f + a. What is the least common multiple of 18 and f?
144
Find the common denominator of ((-4)/(-20))/(-8 - 28640/(-3475)) and -64/9.
504
Let f = -14 + 18. Suppose 3*y = f*y - 40. Let b(s) = -47*s - 1049. Calculate the least common multiple of b(-23) and y.
160
Suppose -290*g + 32984 = -14482 - 10534. Calculate the lowest common multiple of g and 92.
4600
Let o(f) = -f**3 - 7*f**2 + 86*f + 99. Calculate the least common multiple of o(-15) and 116.
2436
Suppose -t = 2*h + 13, 4*h - 7*h = t + 18. Let q = -51 - t. What is the lowest common multiple of (0 + -2)*q/32 and 9?
9
Let o be 4/((-40)/18)*(-205)/123. Suppose -3*t - 2*k = -120 - 104, -214 = -o*t - 4*k. Calculate the smallest common multiple of 3 and t.
78
What is the common denominator of 21/580 and (-1025)/52 + 152/(-3952)?
580
Let c(i) = -6*i + 2*i + 5*i + 23. Calculate the least common multiple of 4 and c(-11).
12
Let u = 1106 - 8831/8. Find the common denominator of 171/(-50) + 5 + -4 + 2 and u.
200
Suppose -5*q + 3*s - 22 = 0, -4 = 3*q - 2*q - s. Calculate the smallest common multiple of 7/((-14)/(-304)) - (q + 4) and 33.
1683
Let k(s) = -s**3 + 13*s**2 - 24*s + 14. Suppose 23*v = 40*v - 238. What is the lowest common multiple of k(10) and v?
518
What is the smallest common multiple of ((-260)/12)/((-7)/21) and 55?
715
Suppose u = -3*x - 10416 - 14957, 0 = -2*x - 2*u - 16914. Let g = 4840069/534 + -55622/89. Let i = x + g. What is the common denominator of i and 77/18?
18
Suppose 0 = -m - 7*h + 2*h - 4, 5*h = -5*m + 60. Let b(x) = 3*x + 2*x + 52 + 40 + 0*x - 128. Calculate the lowest common multiple of b(8) and m.
16
Let u(n) be the first derivative of -3*n**2/2 + 21*n - 10. Let m be u(12). Calculate the common denominator of (12/m)/2 - (-44)/280 and 19/18.
630
Let h = -535913 - -273315733/510. Find the common denominator of -121/204 and h.
1020
Let w(r) = -6*r + 32. Let y be w(8). Let h(m) = -m**3 - 14*m**2 + 31*m + 8. What is the lowest common multiple of 40 and h(y)?
120
Let j(d) = -7*d**2 - 129*d - 72. Calculate the lowest common multiple of j(-17) and 5.
490
Let u = -244 + 251. Suppose -14*t + 231 = u*t. Calculate the least common multiple of 96 and t.
1056
Suppose 3*d + 5*p = -707, 2*d + 178 = 2*p - 320. Find the common denominator of (-140)/33*d/(-427) and -35/6.
66
Let z = 41126511373/32004 - 155122803/127. Let q = -63603 + z. Let c = -999 + 19929/20. What is the common denominator of c and q?
1260
What is the common denominator of -36 and ((-54)/(-4936))/(27*(-10)/(-720))?
617
Let a(h) = -981*h - 5196. Calculate the least common multiple of 207 and a(-6).
2070
Suppose 8516*d - 8479*d - 58842 - 12494 = 0. What is the least common multiple of d and 723?
5784
Let o = 508/69 - -30/23. Let g = 1744063/10 + -179759. Let l = -5358 - g. What is the common denominator of l and o?
30
Suppose -177 = -3*a - 45. Let m be 415/(-10) - (-6)/(-4). Let d = a + m. What is the lowest common multiple of d and 9?
9
Suppose 4*x - 3*s - 5021 = 0, 4*x - 4*s = -9*s + 4997. What is the lowest common multiple of x and 1611?
11277
Suppose -8*w + 9*w + i - 10 = 0, -5*w - i = -58. Calculate the least common multiple of 40 and ((-18)/w)/((-7)/70).
120
Suppose -7611 = 17*n - 8580. Let o(r) = 6*r**2 - 3*r. Calculate the lowest common multiple of n and o(2).
342
Let n = 932/59513 + 12008931091/1190260. Let b = n - 10085. What is the common denominator of b and 73/45?
180
Calculate the lowest common multiple of (-1782)/(-20 + 5 + 13) and 486.
5346
Let t(n) = 4*n**2 - 3*n - 260. What is the smallest common multiple of 1326 and t(-10)?
6630
Suppose -2*b + 26 = 4*q, -5*b + 77 = 3*q - 16. Let k = 30 - b. Let f(y) = 2*y**2 - 45*y - 5. Calculate the least common multiple of f(23) and k.
18
Suppose 48588 = 183*u - 330588. What is the lowest common multiple of 1480 and u?
10360
Let x be 21588/7575 + 3 + 70/(-14). Let m = -1/101 + x. Calculate the common denominator of m and -119/50.
50
Let q(h) = h**3 + 30*h**2 + 57*h - 120. Let c be q(-27). Let j = c - 503. What is the least common multiple of 29 and j?
725
Let u be (6 - (-16)/(-2))/(4/(-26)). Find the common denominator of -79/4 and 0 + 0 + 17/u.
52
Suppose -24*b + 28*b = 32. Suppose 3*f + 114 = -3*f. Let c = -8 - f. Calculate the least common multiple of b and c.
88
Let i(q) be the first derivative of q**3/3 - q**2 - 3. Suppose 88 = 5*k - 2*f + 14, -4*k - f = -54. Calculate the lowest common multiple of k and i(-2).
56
Let k be -47 + 45 - ((-798)/(-8) + 1). Let b = -1229/12 - k. Let s = -1149 + 3418/3. Calculate the common denominator of s and b.
3
Suppose 5*j = 20*j - 30. Suppose 5*z + j*f - 12 = -3, 3*z - 5 = -f. Let y(g) = 3*g - 3. What is the lowest com