1
Let p be -5 - ((-2958)/377 + (-4)/26). Suppose -1620 = -3*k - p*l, 0 = -4*l - 4 - 8. What is the units digit of k?
3
Suppose -5*w = 3*c - 38385, -25*c + 2*w - 25594 = -27*c. What is the ten thousands digit of c?
1
Let r be 180/(-40)*3/(27/1338). Let j = 21 - r. What is the units digit of j?
0
Suppose 0*z = -7*z - 14. What is the tens digit of 2 + 270 + z - (75 + -74)?
6
Suppose -3*w = d - 27 - 24, -3*d - 4*w = -153. Let u = d + 461. What is the units digit of u?
2
Let x(f) = 4*f**2 + 6*f - 24. Let i be x(10). Let h = -341 + i. What is the units digit of h?
5
Suppose 7704 = 2*q + 4*k + 1356, -q + 3209 = -5*k. What is the tens digit of q?
8
Suppose p - 4756 = 4*h, -2*p + 7*h = 8*h - 9557. What is the units digit of p?
6
Let d(j) = j**3 + 2*j + 8. Let q be d(5). Suppose 127 = 5*g - q. Let v = g + 19. What is the units digit of v?
3
Let j(a) = -a**3 + 72*a**2 - 210*a + 465. What is the thousands digit of j(63)?
2
Let m(o) = o**3 + o - 1. Let w(q) = -8*q**2 - 5*q. Let j(v) = m(v) - w(v). Suppose z + 12 = 2*x, 9 = -4*z - 8*x + 3*x. What is the units digit of j(z)?
5
Suppose -l - 4*o = 33 - 397, -o = 4*l - 1396. Let t(q) = -5*q**2 + 131*q + 64. Let f be t(25). Let w = l - f. What is the units digit of w?
4
Suppose 3*d - 72 = -4*i + 73, -3*i - 15 = 0. Let w = 55 - d. Suppose 6*j - j - 190 = w. What is the tens digit of j?
3
Let o(q) = 19830*q**2 + 506*q + 505. What is the thousands digit of o(-1)?
9
Let y = -509 - -552. Suppose 47*g - y*g - 4748 = 0. What is the thousands digit of g?
1
Let h = -1330 + 3479. Suppose -33*k = -40*k + h. What is the hundreds digit of k?
3
Let l(j) = 2*j**2 + 8*j + 2. Let v(s) = -3*s**2 - 9*s - 3. Let t(m) = -4*l(m) - 3*v(m). Suppose 32 = 12*y - 8*y. What is the units digit of t(y)?
5
Let g = -927 + 4590. What is the hundreds digit of g?
6
Suppose 118*r - 4 = 117*r. Let d be -2 + 12 + (r/2)/1. What is the units digit of (-2 - d)*(1 + -5)?
6
Suppose 0 = 3*p - 102*c + 106*c - 5099, 5*p - 8521 = -c. Let s = p + -1053. What is the tens digit of s?
5
Suppose 0 = -4*o - 8 - 12. Suppose -8*c + 3*c + 280 = h, -3*c + 2*h = -168. Let i = c + o. What is the tens digit of i?
5
Let b(f) = 9*f + 37. Let o(c) = 17*c + 73. Let n(r) = -15*b(r) + 6*o(r). What is the units digit of n(-30)?
3
Suppose -112*p + 964916 = -374268. What is the units digit of p?
7
Let r = 6450 + -2862. What is the thousands digit of r?
3
Let p(r) = 79*r**2 + 17*r + 3. What is the thousands digit of p(-9)?
6
Let z be 3/(6/(-8)) - (-24 - -16). Suppose 5*g + 2*d + 2*d - 14 = 0, 0 = z*g - d - 7. What is the units digit of 87 - (-1 + 0 - (g + -6))?
4
What is the thousands digit of (0/1)/(5/(40/(-16))) + 40179?
0
Let x = -9 - -90. Suppose -y = -x - 49. What is the units digit of y?
0
Suppose 15374 + 13397 = 3*d - f, 4*f = -4. What is the tens digit of d?
9
What is the thousands digit of (-527813)/(-78) + 1 + (-5)/6?
6
Let w(s) = 2*s**2 + 8*s + 4. Let x be w(-4). Suppose -c + 270 = -d, -x*d + 289 = 2*c - 281. Suppose -c = 10*j - 15*j. What is the units digit of j?
5
Let y(n) = -6*n**2 - 33*n - 154. Let g(l) = -5*l**2 - 34*l - 155. Let j(z) = -7*g(z) + 6*y(z). What is the units digit of j(38)?
7
What is the tens digit of 2181*28/14 + -18?
4
Suppose 9*c - 4*c - 40 = 0. Suppose c + 17 = -m. What is the tens digit of (-30)/(-9)*(-105)/m?
1
Let k = 110 + -110. Suppose s + k*f = 2*f + 449, -4*s + 1806 = -3*f. What is the hundreds digit of s?
4
Let d be ((-136)/4 - 3) + 1. Let s = d - -42. Suppose 0 = -4*p + s*p - 130. What is the units digit of p?
5
Suppose 0 = 2*g - 7 + 9. Let r be -3*9/((-27)/20) - g. Suppose 12*i = 9*i + r. What is the units digit of i?
7
Let i(j) = -j**2 + 5*j - 4. Let k be i(2). Let b = 6 - k. Suppose 2*n - 166 = b*w, -3*w + 187 = -0*n + 2*n. What is the tens digit of n?
8
Let a = -499 - -745. Let d = 3209 - 3218. What is the hundreds digit of (a/d)/((-1)/9)?
2
Let g(m) = -199*m**2 - 3*m + 2. Let f be g(1). Let r = f - -607. What is the hundreds digit of r?
4
Suppose -739 = -b - 4*m, -3*m + 92 - 3105 = -4*b. What is the hundreds digit of b?
7
Let k(w) be the first derivative of w**4/4 - 11*w**3/3 + 29*w**2/2 + 67*w + 302. What is the thousands digit of k(16)?
1
Let n(x) = x**2 - 16*x + 47. Let j be n(12). What is the hundreds digit of 6/(-4) + (j - 5013/(-6))?
8
Let x be 16/(-88) + (-77226)/(-33). Suppose -7*v - x = -7758. What is the hundreds digit of v?
7
Let z be ((-27)/12 - 0) + (-1)/(-4). Let u(w) = -2*w**2 - 8*w - 2. Let a be u(-6). What is the units digit of (-10 - a)*(-5)/z?
0
Suppose r - t - 11 = -4*r, 1 = r + t. Suppose 609 = 3*a + r*f + f, 0 = -3*a + 2*f + 609. What is the tens digit of (2/1 - a/(-7)) + 0?
3
Let a(b) = -b**2 - 44*b - 7. Let l be a(-18). Let z = l + -220. What is the hundreds digit of z?
2
Let w(t) = -t**3 - 44*t**2 + 52*t + 34. Let v be w(-38). What is the hundreds digit of v/(-20) + 117/(-390)?
5
Suppose -11*w + 32674 = 9*w - 521146. What is the tens digit of w?
9
Suppose h + 4*j = 4*h - 17, 5*j + 4 = -2*h. Suppose 2*d = -h*g + 3*d + 386, 0 = 4*g - 3*d - 518. What is the units digit of 3/(18/g) + (-28)/84?
1
Suppose 13*n = -22 + 48. What is the units digit of (-8)/(-3)*(n - 3126/(-12))?
0
Let h = -4670 - -8075. What is the tens digit of h?
0
Let z = -3148 + 51832. What is the units digit of z?
4
Let c(z) = 2*z**2 + 23*z - 10. Let m be c(-12). Let j(v) = -4*v**3 - v**2 + 4*v. Let t be j(m). What is the tens digit of (-2)/4 + (-630)/t?
2
Let y(h) = -h**2 + 22*h - 3. Suppose 14*g - 15*g + 18 = 0. Let z be y(g). Suppose 4*r - z - 355 = 0. What is the tens digit of r?
0
Let v = 331 - 326. Suppose 4*o - 3146 = w - 585, v*o - 3*w - 3203 = 0. What is the tens digit of o?
4
Suppose g - 33 = 2*s - 6*s, g + 30 = 3*s. Suppose -6*c = -5*j - s*c + 4898, 5*j - 4894 = -4*c. What is the hundreds digit of j?
9
Let t(f) = 9*f - 39. Let g(j) = 17*j - 77. Let w(r) = 4*g(r) - 9*t(r). Let i be -4 - (8 - (9 + -3)). What is the hundreds digit of w(i)?
1
Suppose 50*i = 54*i - 12. Suppose 8 = -p - 3*p + i*m, -p - 5*m - 2 = 0. What is the hundreds digit of (1141/14)/(p/4 + 1)?
1
Let a be (-1)/3 + ((-57)/(-9) - 2). Suppose 5*z + 4*p - 2 = 5*p, -4*z - a*p - 8 = 0. Suppose 3*r + 74 - 245 = z. What is the tens digit of r?
5
What is the tens digit of 28/((-224)/24) + (3248 - 0/(-2))?
4
Let s(d) be the third derivative of d**5/20 + 3*d**4/8 - 2*d**3 + 13*d**2. Let w be s(-8). Let l = -70 + w. What is the units digit of l?
8
Let o(l) = 2077*l + 2149. What is the hundreds digit of o(13)?
1
Suppose -4*d + 3*r = 109, -r = d - 0*d + 29. Let b be (d/(-10) - 2)/(4/40). Suppose -45 = b*w - 389. What is the units digit of w?
3
Let z be 36/(-27) + 116/6. Let s = -15 + z. Suppose -a - 5*m = s*a - 312, 4*a + m = 296. What is the units digit of a?
3
Let u = -2413 + 1079. Let v = -2621 - u. What is the hundreds digit of -1 + v/(-12) - 24/(-32)?
1
Let b(s) = -2*s**2 + 20*s + 3. Let f = -97 - -107. Let m be b(f). Suppose 3*u = 6, -28 = 4*z - 6*z + m*u. What is the tens digit of z?
1
Let t(h) = -2*h**3 - 2*h**2 + 3*h - 16. Suppose -o = 4*o - 2*v + 26, -3*o - 3*v - 3 = 0. What is the tens digit of t(o)?
6
Suppose -14*i = -11*i - 3. Suppose 0 = -j + i, 5*j = 14*x - 9*x - 10. Let l = 138 - x. What is the units digit of l?
5
What is the units digit of (54/8)/(22/44*(-1)/(-662))?
7
Suppose 0 = -23*w + 24*w + 2*b - 2155, -b - 8593 = -4*w. What is the hundreds digit of w?
1
Let k = -8 - -11. Suppose 5*r = -2*q + 894, 1330 = 3*q - k*r + 10. Let s = q - 311. What is the tens digit of s?
3
Let f = -14376 + 27189. What is the units digit of f?
3
Let a(t) = -12*t + 62. Let h be a(5). Suppose h*w = -3*w + 4110. What is the units digit of w?
2
Let n(h) = -2*h**2 + 17*h + 16. Let k be n(9). What is the hundreds digit of 117630/180 - k/(-2)?
6
Let x(b) = -6*b + 122. Let n be x(17). What is the tens digit of (3 + 303/(-5))*n/(-4)?
8
What is the units digit of (27/(-6))/(9/(-31860))?
0
Suppose 0 = -2*j - j. Suppose j = -2*t + 1166 - 386. Suppose 33*l - 38*l = -t. What is the units digit of l?
8
Let l(s) = -s**2 - 19*s - 12. Let d be l(-18). Suppose 0 = 8*f - d*f - 4. Suppose 4*o + f*v = 5*o - 72, -4*o = -2*v - 276. What is the tens digit of o?
6
Suppose -9*p + 3 = -10*p, 3*u = 2*p + 32655. What is the ten thousands digit of u?
1
What is the units digit of (-11)/(9/((-87588)/12))?
1
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