t w = 43 + -12. Let c = w - -67. Suppose 11*r = 13*r - c. What is the units digit of r?
9
Suppose 22*j = 24*j + 372. Let f = j + 269. What is the units digit of f?
3
Let z(q) = -q**3 - 10*q**2 + 9*q + 2. Let s be z(-11). Let u = 61 + s. Suppose -2*k = -u - 19. What is the tens digit of k?
5
Let v = 558 + -44. What is the tens digit of v?
1
Suppose 4*x = 4, 0*x + 22 = -5*v - 3*x. What is the units digit of 192/(v/15*-2)?
8
Let l = -820 - -1428. What is the tens digit of l?
0
Let x(w) = -1. Let u(d) = d - 4. Let k(m) = u(m) - 6*x(m). Let c be k(-5). Let a(h) = h**2 + h. What is the units digit of a(c)?
6
Let c(m) = -228*m**3 + 3*m**2 + m - 1. Let g be c(-2). What is the tens digit of ((-1)/3)/((-13)/g)?
4
Let i = 84 + 10. Let c = i + -75. What is the units digit of c?
9
Let h = 8 - -22. What is the tens digit of 46/(-4)*h/(-5)?
6
Let d be (22/6 - -1)/(5/270). What is the hundreds digit of -1*(-2)/2*d?
2
Suppose -66 = -2*r + 3*v, -r - 15 + 61 = 5*v. Suppose 4*n - r = 3*n. What is the units digit of n?
6
Suppose 19*f + 393 = -215. Suppose d + 0 = -4. What is the units digit of f/6*18/d?
4
Let q(f) = 192*f - 499. What is the tens digit of q(11)?
1
Let u(l) = 2*l**3 - 9*l**2 - 5*l + 1. Let j be u(5). Let s(h) = -24*h**2 + 1. Let y be s(j). Let g = 21 - y. What is the tens digit of g?
4
Let z = -13 - -16. Suppose 4*w + 86 = -2*o, 2*w + 97 = -z*w + o. Let a = -10 - w. What is the units digit of a?
0
Let x be 2*9*2/4. Suppose y = 4*y + x. Let n = 6 + y. What is the units digit of n?
3
Let v(s) = 3*s**2 + 5*s - 2. Let n(m) = -7*m + 46. Let y be n(6). What is the tens digit of v(y)?
6
What is the tens digit of 279 - (2 + 7 + -9)?
7
What is the thousands digit of (-2)/3*(-3)/4*2022?
1
Suppose 2*y = -4*c + 38, 3*c + y = 2 + 25. Let q(b) be the third derivative of b**4/24 + 3*b**3 - 93*b**2 + 2*b. What is the tens digit of q(c)?
2
Let f(p) = -13*p - 17. Suppose 3*c + 16 = -z, 3*z - 5 - 1 = 0. Let y be f(c). Suppose -4*r + 55 = 4*o - y, 2*r + 4*o = 60. What is the units digit of r?
8
What is the hundreds digit of (3908/(-8))/((-8)/16)?
9
Suppose 0 = -3*q + 2*y + 2321, 0 = 2*q - 7*y + 6*y - 1547. What is the tens digit of q?
7
What is the thousands digit of 2/1*(1618 + -3)?
3
Let l be (0 - -22)/(8/68). Suppose -68 = -5*g + l. Let x = 100 - g. What is the units digit of x?
9
Let g(h) = 45*h**2 + 19*h - 2. What is the units digit of g(8)?
0
What is the thousands digit of (-234)/65*(-9475)/15?
2
Let d(f) = 65*f**2 + 19*f + 69. What is the thousands digit of d(-5)?
1
Let h(a) = 33*a - 3. Let q be h(1). Suppose -q*f + 93 = -29*f. What is the tens digit of f?
9
What is the units digit of (-58)/319 + 7/((-77)/(-3720))?
8
Let h = 421 + 90. What is the units digit of h?
1
Let y(u) = u + 1. Let o be y(-5). Let b = 44 + o. Suppose 2*x = 2*n + 44, -b = 3*x + n - 114. What is the units digit of x?
4
Let n = -7 + 5. Let o = 0 - n. Suppose 0 = o*u + 3*u - 55. What is the tens digit of u?
1
Let v(k) = k**2 - 14*k + 13. Let p be v(13). Suppose 5*q - 3*y + y - 569 = p, -4*y + 127 = q. What is the hundreds digit of q?
1
Suppose -66 + 54 = -2*u. What is the units digit of (-2)/22*-1857 - u/(-33)?
9
Suppose -21*y - 2175 = -5598. What is the units digit of y?
3
Suppose -4*r = 4*r - 72. Let g = r + 93. What is the units digit of g?
2
What is the hundreds digit of (-10)/(-40) - 11228/(-16)?
7
Let g = 3246 - 2248. What is the tens digit of g?
9
What is the hundreds digit of (-6)/57 + 4412/38?
1
Suppose -10 = 9*d + 8. Let s be (28/42)/(d/(-6)). What is the units digit of 994/(-56)*(-8)/s?
1
Let z(x) be the third derivative of 13*x**6/30 + x**5/60 - x**4/24 - 3*x**2. What is the units digit of z(1)?
2
Suppose -119*o - 578 = -121*o + 3*n, -5*n = 5*o - 1495. What is the hundreds digit of o?
2
Let v(k) = -k**2 - 7*k + 12. Let d be v(-9). Let r be ((-20)/(-12))/((-2)/d). Suppose 3*b + b + 163 = r*o, -b + 178 = 5*o. What is the units digit of o?
5
Suppose t + u - 5 = -1, 7 = 3*t - 2*u. Suppose 2*d = 2*h + 12, 2*h - t = 5*h. Suppose 3*b - d*q - 43 = 0, -b + 0*b + 4*q = -12. What is the tens digit of b?
1
Let f = 54 - 107. Let d = 142 + f. What is the tens digit of d?
8
Let t = -5 - -8. Let p(u) = u - 1 - u - t*u - 11*u. What is the tens digit of p(-4)?
5
Let h = -9 + 11. Suppose 0 = 3*l - 4*n - 363, -246 + 4 = -h*l + 4*n. Suppose -4*j + l = -71. What is the units digit of j?
8
Let i(l) = -l**3 - 3*l**2 + 2*l - 5. Let t be i(3). Let n = -23 - t. What is the tens digit of n?
3
Suppose -3*c = 3*q - 6, 0 = 2*q - q - c - 2. Suppose -2*a - 4 = -4*t, -q*t + 28 = -5*a - t. What is the tens digit of -1*3/(a/40)?
2
Let x(k) = 5*k**3 + 21*k**2 + 3*k - 17. Let i(w) = 2*w**3 + 7*w**2 + w - 6. Let v(y) = -8*i(y) + 3*x(y). What is the units digit of v(6)?
9
Suppose 4*x - 5*x - 22 = -4*y, 0 = 3*y + x - 13. Suppose y*u - 2*g = 554, 2*g + 209 + 235 = 4*u. What is the tens digit of u?
1
Suppose -4*b + 524 = -3*c, -152 = 5*b - 2*c - 814. Let g = b + -127. What is the units digit of g?
7
Let d be (-1)/5 + 2 + 8449/(-5). What is the hundreds digit of (6 - 145/25) + d/(-10)?
1
Suppose 0 = 3*p - 14 + 5. Suppose 5*z = q + p*q - 704, -4*q = 4*z - 668. What is the hundreds digit of q?
1
Let s = -118 + 123. Suppose -v + 141 = -s*j, -640 = -4*v + 2*j - j. What is the units digit of v?
1
What is the tens digit of (29 + -27)*(-518)/(-4)?
5
Let f(c) = -c**3 - 4*c + 2. Let y be f(-4). Let u = 13 + y. What is the units digit of u?
5
Suppose 696 = 3*y + 2*d - 16, -2*y = -2*d - 468. What is the tens digit of y?
3
What is the units digit of 635 - ((-6)/(-8) - 5/(-20))?
4
Suppose 33*f - 29*f = 36. Suppose -465 = f*q - 14*q. What is the units digit of q?
3
Let v(u) = u**3 - 24*u**2 + 58*u - 215. What is the thousands digit of v(26)?
2
Suppose 2*z + 7754 = 4*m, -6*z + 12215 = 5*m + 2514. What is the thousands digit of m?
1
Suppose 1906 = j + 9*x - 5*x, 0 = -5*x - 10. What is the hundreds digit of j?
9
Suppose -2*p + 4*l = l + 4, 2*p - 12 = -l. Let d be 3 + 1*(-4)/p. Suppose d*k + 28 = 3*t - 0*k, 0 = -3*k + 3. What is the tens digit of t?
1
Let i(u) be the third derivative of u**6/120 + 2*u**5/15 + 5*u**4/24 - 7*u**2. What is the tens digit of i(-6)?
4
Let g(i) = -i**3 + 16*i**2 - 10*i + 25. Let a be g(14). Suppose -3*z + a = 2*f, -4*z = 5*f - 7*z - 640. What is the hundreds digit of f?
1
Suppose -48*s + 33024 = -40*s. What is the thousands digit of s?
4
Suppose 124 = -6*m + 2*m. Let u = -18 - m. What is the tens digit of u?
1
Suppose -34*z = 44*z - 41418. What is the tens digit of z?
3
Let q = 587 - 132. What is the tens digit of q?
5
Suppose -16 = -5*z - 3*v + 12, 2 = 2*v. Suppose -z*c + 8 + 7 = 0. Suppose -2*f + u = -5*f + 30, -c*u - 18 = -3*f. What is the units digit of f?
9
Let b be (14/(-42))/(2/(-12)). Suppose 5*a = -0*a - 3*c + 7, -b*a - c = -3. Suppose 4*w + 154 = 5*n, 2*n + 4*w + a = 86. What is the tens digit of n?
3
Let g(p) = -2*p**2 + 18*p + 22. Let l be g(10). Suppose 0 = l*r - 26 + 2. What is the units digit of r?
2
Let t = -32 - -39. Let r be (-368)/(-36) + (-2)/9. Let k = t + r. What is the units digit of k?
7
Suppose -5*c = 218 + 82. Let m = 64 + c. What is the units digit of m?
4
Let l be ((-209)/(-33))/(0 - (-1)/(-3)). Let a = 67 - l. What is the tens digit of a?
8
Suppose 74*n - 70*n - 9920 = 0. What is the units digit of n?
0
Suppose 0 = 9*y - 2*y - 21. Suppose -283 - 149 = -3*z + 2*b, -5*b = -y*z + 432. What is the units digit of z?
4
Let p(b) = -b**2 + 4*b - 1. Let f be p(3). Suppose -f*q + 6*q - 4 = 0. What is the units digit of 7*q - (7 - 7)?
7
Suppose 4*d - 2697 = -953. Suppose 0 = 5*r - l - 106 - d, 4*r = -3*l + 445. What is the tens digit of r?
0
Let h be (7 + -4)/(3 - 0). What is the units digit of 6*1*h/2?
3
Suppose -3*y = -8 + 155. Let d = y - -55. What is the units digit of d?
6
Let c be (-15)/30*(2 + -16). Suppose 4*h = c*h - 87. What is the units digit of h?
9
Let s(o) = 6*o**3 - o**2 + 2*o - 1. Let z be s(1). Let b(d) = -z + 5 - 5*d - 2. What is the tens digit of b(-6)?
2
Suppose x = -4*x. Suppose 4*k - k = x. Let g(c) = c**3 - c**2 + c + 4. What is the units digit of g(k)?
4
Let f(w) = w - 1. Let g be f(3). Suppose 252 = g*p + p. Suppose 2*z - 49 = 5*m, -3*z + 3*m = -p + 15. What is the units digit of z?
2
Suppose 3*v - 3 = 6. Let l(r) be the second derivative of r**4/6 + 12*r - 6. What is