 c(f) = f**2 - 13*f + 12. Let y be c(12). Suppose -2*a + 17 = 3*b, -8*b = -4*b - 3*a - 17. Suppose y = -x - 1 + b. What is the units digit of x?
4
Let m = -6 - -9. Suppose v - 6 = a, m*v - 6 = -2*v - 3*a. What is the units digit of v?
3
Let v(p) = p**3 - 5*p**2 + p - 4. Suppose -4 - 14 = -3*b. What is the units digit of v(b)?
8
Suppose -4*w - 11 = -5*w. What is the tens digit of w?
1
Let h(m) = m. Let v(b) = -b**3 - 6*b**2 - 5*b + 3. Let d be v(-5). Suppose 0 = -4*u + p, -4*u = p - d*p + 4. What is the units digit of h(u)?
1
Let x(v) = v - 4. Let a be x(4). Suppose -5*b + 0 + 15 = a. What is the units digit of b?
3
Let w = -36 - -61. What is the units digit of w?
5
Let w(y) = -3*y**2 - 25*y + 39. Let n(s) = -s**2 - 8*s + 13. Let a(o) = -8*n(o) + 3*w(o). What is the units digit of a(-12)?
1
Let n(l) = -2*l - 7. Let c be n(-5). Suppose -c*o = -o - 10. Suppose -o*j + 14 = 3*t, -2*j - 1 = -6*t + 5*t. What is the units digit of t?
3
Let t(s) = -4*s**3 + s**2. Let r be t(1). What is the units digit of (32/3)/(-4)*r?
8
Suppose -h = -2*f - 1, -2*f + 27 = -f + 5*h. Suppose 5*o - 9 + 4 = 5*z, f*o + z = -1. Suppose 4*w - 4 = -o*w. What is the units digit of w?
1
Let y be 2*(3/6 + 1). What is the units digit of 2 + (0 - (y - 3))?
2
Let m be ((-9)/(-6))/(3/16). Let p = 4 - m. Let n = 5 + p. What is the units digit of n?
1
Suppose 0 = -2*h + 2*z + 102, -h + 4 = 3*z - 27. What is the units digit of h?
6
What is the tens digit of 2/3 + (-100)/(-3)?
3
What is the tens digit of (6 + -3)/((-6)/(-196))?
9
Let r be (-6)/(-4) + (-2)/(-4). What is the units digit of -1 + r*(3 - 2)?
1
Let a(m) = 2*m. Let o be 51/9 + 2/(-3). What is the units digit of a(o)?
0
Let p = -2 - -5. Suppose 0 = 3*r - 4*r + 2. Let w = p - r. What is the units digit of w?
1
Let n = 79 - 19. What is the tens digit of n?
6
Let y be ((-6)/(-4))/(3/(-20)). What is the units digit of (-44)/y - 6/15?
4
Suppose -7*t + 2*y = -2*t - 267, y - 224 = -4*t. What is the tens digit of t?
5
Suppose -1 - 944 = -3*b. What is the tens digit of b?
1
Let j = 341 - 130. What is the units digit of j?
1
Let p = -69 + 196. What is the hundreds digit of p?
1
Let w(d) = -d**3 + 9*d**2 - 6*d + 3. Let i(u) = 3*u**2 - 2*u + 1. Let l(p) = -7*i(p) + 2*w(p). What is the units digit of l(-3)?
0
Suppose -3*q = -7*q + 3*w + 9, -w + 23 = 3*q. Suppose -5*p = -q*t + t + 180, 4*p - 73 = -3*t. What is the units digit of t?
1
Suppose 5*u - 4*v - 343 = 0, 0*v - 2 = v. Suppose 5*t + i - 84 = 0, 4*t + i = -0*i + u. What is the units digit of t?
7
Let j(p) = -p**3 + 9*p**2 - 7*p - 10. Let v be j(7). Let y = v - 24. Let u = y + -8. What is the units digit of u?
7
Let h = -6 + 21. Suppose h = -5*g, 0*g + g = -2*p + 17. What is the units digit of p?
0
Let v(a) = -a**2 + 14*a - 4. What is the tens digit of v(7)?
4
Suppose 4*h + 21 = h. Let g(u) = -5*u + 3. Let d be g(-2). Let i = h + d. What is the units digit of i?
6
What is the units digit of (16/(-10))/((-12)/390)?
2
What is the units digit of (-11 - -14) + 5 + 2?
0
Let y be ((-10)/(-4))/(-5)*-10. Suppose -y = v, 2*l + 3*v - 1 = 4*v. What is the units digit of l/(-2 + 24/15)?
5
Let r(f) be the third derivative of f**6/120 - f**5/60 + f**4/24 - 3*f**2. What is the units digit of r(1)?
1
What is the tens digit of (-2)/(-16) + (-4815)/(-72)?
6
Let q(j) = j**2 - 3*j + 1. Let w(i) = i**2 + 1. Let t be -1 + (-1 - 1 - -2). Let x(g) = t*q(g) + 2*w(g). What is the units digit of x(-3)?
1
Suppose -4*h - 44 = -n, 2*h - 35 = -2*n + 13. Suppose 0 = -2*r - 2*r + n. What is the units digit of r?
7
Let t be (2 + (-94)/8)*4. Let g = -20 - t. What is the tens digit of g?
1
Let u(x) = 41*x**3 - x**2 + x. Let j be u(1). Suppose 27 = 3*f - b, 5*f - 5*b + 2*b - j = 0. What is the units digit of f?
0
Suppose 5*c - 246 = 44. What is the units digit of c?
8
Let g(a) = 4*a + 0 - 14*a - 12. What is the units digit of g(-5)?
8
Let s(d) = -12 + 36*d**2 + d + 12. What is the tens digit of s(1)?
3
Suppose 0*r - 8 = -2*r. Suppose -r*p + 9 = -15. What is the units digit of p?
6
Suppose 3*p - 4*i - 26 = p, 5*i - 94 = -3*p. What is the units digit of p?
3
Let j(i) = i + 12. Let k be 2/(-9) + 44/36. Let c = k - 9. What is the units digit of j(c)?
4
Suppose -3*k + 41 = -61. What is the units digit of (0 + 2)*k/4?
7
Suppose -408 = -4*q - 0*q + 2*g, -q - 2*g = -97. What is the hundreds digit of q?
1
Let d be -2*(-10)/4 + 2. Suppose -6*f + d*f - 7 = 0. What is the units digit of f?
7
What is the tens digit of 74 + (-4)/(4 + 0)?
7
Suppose 0 = 4*f + 3*h - h - 4, -20 = -5*h. Let y = f + -2. Let d = 7 + y. What is the units digit of d?
4
Let i(j) = j**2 + 5*j + 10. What is the units digit of i(-9)?
6
Let f(y) = -y**3 + 8*y**2 + 13*y - 8. Let i(z) = z**2 + 3*z - 1. Let v be i(2). Let d be f(v). Let n = -12 + d. What is the tens digit of n?
1
Suppose 0 = -4*a + a - 3*c + 138, -160 = -4*a + 4*c. Suppose 3*k - 4*t = a, 4*k = 2*k + 4*t + 26. What is the units digit of k?
7
Suppose 0 = -2*z + 67 + 63. Suppose 5*w - z = 65. What is the units digit of w?
6
Let s be (12/9)/(4/(-30)). Let a = -3 - s. What is the units digit of a?
7
Let g = 12 - 5. Let s(x) be the third derivative of x**5/60 - 7*x**4/24 + x**3/2 - x**2. What is the units digit of s(g)?
3
Let k(t) = 5*t + 4. Let g be k(7). Let x = g + -12. What is the tens digit of x?
2
Let d = -12 - -23. Suppose 4*n = -5*i + d, 2*n + 2*n - 2*i = 18. What is the units digit of n?
4
Suppose -s = 2*a - 10, 0 + 5 = 5*a. What is the units digit of ((-108)/s)/((-3)/4)?
8
Let d = -208 - -307. What is the tens digit of d?
9
What is the tens digit of (1 + -1 + -3)*808/(-24)?
0
What is the units digit of 118/4 + 27/18?
1
Let x = -9 + 16. What is the tens digit of (3 - x)/4 - -44?
4
Let s be 22/(-8) - 3/12. Let g be -3 + -24*1*-2. What is the tens digit of -1 - -1 - g/s?
1
Let q be (-12)/8*(-2)/3. What is the tens digit of 14 + -4 + 0 + q?
1
Suppose -26 + 6 = 4*y, -3*y + 41 = 4*n. Suppose 5*z - 4 = -n, 2*z - 5 = -3*f. Suppose -2*j - 4*i + 20 = 0, 2*i = -f*j - 0*i + 30. What is the tens digit of j?
1
Suppose -4*u = 5*y - 3 - 1, -2*u = 8. Let l(i) = i**3 - 5*i**2 + 4*i - 2. Let w be l(y). Let t(d) = -2*d**3 - 3*d**2 - 3*d - 3. What is the units digit of t(w)?
7
Suppose 2*l + 3*l = 10. Let s = 9 + -3. Suppose l*n = s*n - 8. What is the units digit of n?
2
Let a = 115 - 55. What is the units digit of a/27 + 2/(-9)?
2
Let w(b) = -3*b**2 - 8*b - 4. Let d(p) = 10*p**2 + 25*p + 12. Let j(n) = -2*d(n) - 7*w(n). What is the units digit of j(-6)?
4
Suppose 0 = -m + 3 - 1. Suppose 14 = z + z - 4*f, 0 = -z - 4*f - 5. Let v = z - m. What is the units digit of v?
1
Let n be -4*(21/(-2) - -1). Suppose -60 = -5*c - 4*h, 5*h + n = 3*c + 2. Suppose 0 = -z + 5*m - 13, m + c = -4*z + 65. What is the tens digit of z?
1
What is the hundreds digit of (-6)/(-4)*(-10040)/(-60)?
2
Let w(q) = 8*q + 2*q**3 + 6 + q**3 + q**3 - 9*q**2 - 3*q**3. Let h be w(8). Suppose -4*k + 10 = -h. What is the units digit of k?
4
Suppose -37 - 23 = -4*w. What is the units digit of w?
5
Suppose 5*p = 5*n, -5*p = -0*n - n. Suppose n = j + 3 - 10. What is the units digit of j?
7
Let t = -5 + 3. Let r(c) be the second derivative of -c**5/20 - c**4/6 - 2*c**3/3 - 3*c**2/2 + 2*c. What is the units digit of r(t)?
5
Let g be 18/(-4)*2/3. What is the units digit of (-2)/(g - (-39)/15)?
5
Suppose q - 2*f + 7 = f, -3*q + 2*f - 28 = 0. Let i be (-4)/(-8) - q/4. Suppose -4*l + i*l = -3. What is the units digit of l?
3
Let a(o) = -6*o - 15. What is the units digit of a(-8)?
3
Let x = -18 + 21. Suppose 19 = 4*y - x*y. What is the units digit of y?
9
Suppose 5*c = -2*k + 54 + 53, 2*k = -c + 87. What is the units digit of k?
1
Let c(k) be the first derivative of k**3/3 - 5*k**2/2 + 3*k - 3. Let z be c(3). What is the units digit of (-13)/z - (-4)/6?
5
Let d = -39 - -149. What is the hundreds digit of d?
1
Let f(c) = 9*c - 5. Let l be f(2). Suppose l = 4*o - 27. What is the tens digit of o?
1
Let t = 14 - 1. Let l = -11 + t. What is the tens digit of l*(1 - 18/(-4))?
1
Let m(y) = 2*y - 6. Let o be m(6). Let c = o + -2. What is the units digit of (6/8)/(1/c)?
3
Let u = 3 - -3. Suppose -2*f = -c - 3*f + 4, -3*c - 5*f = -u. What is the units digit of c?
7
Suppose -7*s + 3*s + 200 = 0. What is the tens digit of s?
5
What is the tens digit of 16/28 + (-132)/(-14)?
1
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