1. Calculate the smallest common multiple of a(6) and k(-1).
16
Let t be -12*(15/4 + -4). Suppose b - 2 = c - 8, -t*b + 3 = 4*c. Suppose 0*a = c*a - 30. What is the lowest common multiple of 7 and a?
70
What is the common denominator of 52/135 and 1414/77 + -18 - 70/132?
270
Let t(i) = 3*i + 83. Let l(f) = -f - 28. Let x(z) = -11*l(z) - 4*t(z). What is the least common multiple of (-16)/(-6 - -2)*2 and x(-29)?
40
Let h = 77927/2302566 + -52/2253. What is the common denominator of h and -31/18?
9198
Let i = 71 + -65. Calculate the lowest common multiple of 22 and (8/i)/(3 - 17/6).
88
Suppose -8*d + 2517 + 3011 = 0. Suppose -d*u + 685*u = -18. Calculate the least common multiple of u and 48.
48
Suppose 3*u = -3*v + 2*u + 75, -126 = -5*v - 2*u. What is the lowest common multiple of 96 and v?
96
Let p = 29242673/9636 - -2290/803. Let n = -3040 + p. What is the common denominator of n and (-477)/12*2/246?
492
Let x = -39469/156 - -3444/13. What is the common denominator of x and 61/132?
132
Let w be (1 + 1 + 1)/((-3)/1774). Let v = -527 + w. Let m = -75917/33 - v. Find the common denominator of m and -22/3.
33
Let b = -59 + 83. Calculate the smallest common multiple of 1/(0 + (-12)/(-72)) and b.
24
Suppose 4*x - d - 24 = -3*d, -4 = -2*d. Suppose 10*p + 270 = x*p. What is the lowest common multiple of (3/6)/((-3)/p) and 155?
1395
Suppose 0 = 2*w - 4*h - 75 - 361, 3*w = -4*h + 704. What is the lowest common multiple of w and 120?
2280
Let p = -66 - -65. Calculate the common denominator of 6/8 + p + 3337/940 and 71/2.
10
Let x = 138 - 79. Let p = x + -53/2. What is the common denominator of 47/4 and p?
4
Find the common denominator of -22/405 and 494 - 494 - ((-404)/4536 + 0/2).
5670
Let n be (-516)/(-10) + (-72)/(-180). What is the common denominator of 133/24 and n/(-21) + 66 + -60?
168
Let m be 69778/(-306)*1/3. Let u = m + 1318/17. Calculate the common denominator of u and (-133)/(-75)*(-1596)/2793.
675
Suppose 2*y = y + 9. Let z = 4798/3 + -211283/132. What is the common denominator of y/3 + (-3)/(72/191) and z?
264
Let i = 25451 - 1018107/40. What is the common denominator of 23/44 and i?
440
Let x = 277262/115 - 12056/5. What is the common denominator of -1/8 and x?
920
Let w be ((-7)/(-210))/(3/(-54399)). Let j be (-22026)/(-36) + 0 + 3/2. Let x = w + j. What is the common denominator of x and 79/8?
40
Calculate the common denominator of -47/57 and (-2 - 1*(-162)/(-1900)) + -35 + 37.
2850
Let h = -3913176 + 582945. Let x be 1/(-10)*h/149676. Let p = 1/24946 + x. Find the common denominator of p and 83/14.
280
Let h be 33702/6930 + -6 + 2. Let k = h - 53/33. Calculate the common denominator of 2 + -3 + (-42)/22 and k.
385
Calculate the smallest common multiple of 78 and 272/(-3 + 5) + -6.
390
Suppose -3*s = -3*y - 18, 3*y + 4*s = y. What is the common denominator of (-4)/(-14) + 4350/504 and 26/y*(-15)/60?
24
Suppose 213 + 203 = 4*u. Let i = -86 + u. Suppose 4*z - z - 18 = 0. Calculate the least common multiple of z and i.
18
Let u = 113043/4 - 9043323/320. Calculate the common denominator of u and -61/768.
3840
Let j(f) be the third derivative of 0 + 23*f**2 - 1/3*f**3 + 5/6*f**4 + 0*f. What is the lowest common multiple of j(1) and 21?
126
Let q = 219 - 225. Calculate the smallest common multiple of -1 - -6 - (-4 + -1 - q) and 10.
20
Let m = 1/5290 + 62941/52900. What is the common denominator of -51/40 and m?
200
Let m = 22928 - 963059/42. Calculate the common denominator of -43/504 and m.
504
Let c(b) = -60*b**3 + 2*b + 8. Let i be c(-4). What is the common denominator of -50/79 and (-2)/(-5)*i/264 - 5?
869
Find the common denominator of 169/1800 and (-6)/(-4)*(1 + 56/108)/1.
1800
Let b = 20288 - 4747445/234. What is the common denominator of -37/36 and b?
468
Let h(x) = -x**3 - 7*x**2 - x - 34. Let u be h(-7). What is the common denominator of (-2)/(-32)*(-1818)/u and -19/16?
48
Suppose -l - 10*f = -7*f - 49, -2*l + 90 = 5*f. What is the lowest common multiple of l and -14*(-2)/((-4)/(-5))?
175
Let i = 53431/932315 - 65/937. Find the common denominator of -39/1592 and i.
7960
Suppose -7*l + 16 = -6*l. Suppose -4*q - 7 = -3*k, -q + l = 2*q + 2*k. Calculate the common denominator of -103/36 and (-2 + (-29)/(-15))*(-261)/q.
180
Let m = -3521/15 + 1297/5. What is the common denominator of m and -28/159?
159
Calculate the common denominator of -85/196 and 83*(1219/3864 - (-1)/(-3)).
392
Let a(n) = 4*n**2 - n + 1. Let j be a(1). Suppose -3*o - q - 197 = 0, -19*o + 14*o - 330 = 2*q. Let s = j - o. What is the least common multiple of 16 and s?
272
Suppose -1266 = -9*h + 1056. What is the common denominator of (-16)/102*h/(-8) - 5 and 3/2?
34
Let h(j) = j + 4. Suppose -19*r + 4194 = 1135. Suppose -3*x + r = 4*x. Calculate the lowest common multiple of h(-3) and x.
23
Let b = 404199 + -1253017029/3100. Find the common denominator of 17/200 and b.
6200
Suppose 10 = 3*s - 5. Suppose -q + 5 + s = 0. Let d(w) = -w**3 + 6*w**2 - 2*w + 1. What is the smallest common multiple of q and d(3)?
110
Let x be (1 - (-3566)/(-55))/((-270)/283725). Let f = -67083 + x. What is the common denominator of f and -23/33?
66
Suppose -3*l = -2*y + 171, 4*y - 365 = -y - 5*l. Calculate the least common multiple of y and 48.
624
Let j = -884/9 - -14927/144. Calculate the common denominator of j and (-14)/(-63) + 457/(-720).
80
Suppose 74*m + 98*m = -67 + 4195. What is the smallest common multiple of (-1)/4 - (-180)/16 and m?
264
Let h(k) = 5*k - 47. Let m be h(10). Suppose -4*d + m*w + 234 = -89, -5*d = 2*w - 398. Calculate the lowest common multiple of 10 and d.
80
Let o = -14/211 - 14925/844. Calculate the common denominator of (102/42)/((-2)/4) and o.
28
Suppose 118*k - 2216 = -86*k - 73*k. What is the least common multiple of 730 and k?
2920
What is the least common multiple of 33600/885 + 22/649 and 38?
38
Let r = -1620179/357 - -27233/6. Calculate the common denominator of 95/18 and r.
2142
Let v = 318 - 147. Let s = v - 167. Let t = -3257 - -104233/32. What is the common denominator of s and t?
32
Let a = 470251/8904 - 2969/56. Find the common denominator of 37/105 and a.
11130
Let m = -87121/1380 + 1259/20. Calculate the common denominator of m and -41/46.
138
Suppose 2*o - 2*p = -0 - 4, 5*o - 4*p + 8 = 0. Let s be 0/(o + 1 - 0). Let h = 20 + s. What is the least common multiple of h and 14?
140
Let m be (-5 + 6)*1/((-1)/(-2)). Suppose -2*g - 4*o = -34, 2*o = -g + o + 14. Calculate the smallest common multiple of (1/m)/((-56)/(-336)) and g.
33
Let o = -380207/8544 - 1/8544. Find the common denominator of 32/979 and o.
1958
Let p(q) = 2*q + 19. Let f(w) = -2*w - 18. Let l(h) = -6*f(h) - 7*p(h). Let m be 0/4 + 17/(-1). Calculate the smallest common multiple of 145 and l(m).
1305
Suppose -74*n = 33*n - 3210. Calculate the least common multiple of 3147 and n.
31470
Let i be ((-68)/8 + -3)*-2. What is the common denominator of (70/(-22) - -3)/(2/i) and 37/7?
77
Suppose -40*q = -44*q + 644. Let z = 183 - q. What is the lowest common multiple of z and 166?
1826
Let x(t) = t**3 - 12*t**2. Let i be x(12). What is the least common multiple of 3*(-4)/(-42)*(i - -7) and 268?
268
Let i(n) = 4*n - 5. Let x = 51 - 28. Let k = -21 + x. Calculate the lowest common multiple of 21 and i(k).
21
Suppose -3*j + 5*j + 4 = 4*q, 4*q = -5*j + 4. Suppose -11*i + 55 - 22 = j. What is the lowest common multiple of i and 180?
180
Let s = 6/44249 + 3487223/62302592. Calculate the common denominator of s and 119/1280.
14080
Let y = 338323/32 + -10570. Find the common denominator of y and 139/96.
96
Let q(h) = 2*h**2 - 117*h + 1113. What is the lowest common multiple of 407 and q(9)?
2442
Suppose 0 = -2*a - 2*k - 124, k + 0 - 1 = 0. What is the common denominator of 309/(-63) - (-27)/a and (10/16)/((-4)/(-76))?
24
Let s = -1395 - -1350. Let y = 5 + -3. Calculate the smallest common multiple of 1/(2 - s/(-21)) + 22 and y.
30
Let w be (-52)/20 - -2 - (-23003562)/(-1080). Let v = -21298 - w. Let d = 112751/21 - 5368. What is the common denominator of d and v?
252
Let p be (-246)/(-9) - 11/33. Suppose -10 = -p*n + 22*n. Calculate the smallest common multiple of 8 and n.
8
Let i = 237/2989 - 26/61. Calculate the common denominator of i and ((-1000)/50)/(64/60).
196
Let g be (92195/(-90))/(8/(-150)).