 31. What is the units digit of y?
4
Suppose 191 = 4*b - 249. Suppose t + 5*u = -t + 42, -3*u - b = -4*t. What is the units digit of t?
6
Let g(p) = p**3 + 6*p**2 + 3*p - 6. Let d be g(-5). Let b be (-5)/d*(-1 + -11). Let x = b - 8. What is the units digit of x?
7
Let a = -28 + 79. What is the units digit of a?
1
Suppose -4*u = -3*n + 524, n + u = 3*n - 341. What is the hundreds digit of n?
1
Suppose 0 = 3*w - 9*w + 876. What is the tens digit of w?
4
Let n = 15 - 10. Let o = n - 3. Suppose -o = -c + 7. What is the units digit of c?
9
Suppose 3*x + 2*x + 7 = -3*m, 0 = -x - 5*m - 19. What is the units digit of 100/16 - x/4?
6
Suppose 2*p + 170 = 2*f, f + 2*f + p - 259 = 0. Suppose 0 = -3*s + f + 16. What is the units digit of s?
4
Let y(u) = -15*u + 4. Let n be y(-3). What is the units digit of (108/(-14))/((-7)/n)?
4
Let f(c) = c**2 - c - 1. Let h(p) = p**3 + 4*p**2 - 5*p - 3. Let u(k) = -5*f(k) + h(k). Let a be u(0). What is the units digit of (2 - a)/2 - -8?
8
Suppose 2*h = -3*l + l + 36, 0 = 4*h - 3*l - 86. Suppose -h = -2*b - 2*b. What is the units digit of b?
5
Let w be 2 - 0*2/6. Suppose 1 = -w*k - 3. What is the units digit of 5*(k - (-56)/10)?
8
Let b = 40 - 0. What is the tens digit of b?
4
Suppose 3*f - 2*l = -2*f + 21, 0 = 5*f + 5*l - 35. Suppose x + 0*u + u - 24 = 0, -45 = -2*x - f*u. What is the tens digit of x?
2
Suppose 0 = -k - 0*k + 11. Let s be (-2)/(-11) + 53/k. Suppose -s*j + 39 = 14. What is the units digit of j?
5
Suppose 7*n - 6*n - 5 = 0. What is the units digit of n?
5
Let i(r) = -r**3 + 5*r**2 - r - 2. Let c be i(4). What is the units digit of 20/6*96/c?
2
Let f(q) = 16*q**2 - q. What is the tens digit of f(-1)?
1
Let f(y) be the third derivative of -y**5/60 + 5*y**4/24 + y**3/6 + 4*y**2. What is the units digit of f(4)?
5
Suppose 0 = 2*j + j - x - 175, 3*j - 4*x = 160. What is the units digit of j?
0
Suppose -3*b + 370 = 2*b. What is the units digit of b?
4
What is the units digit of (28/(-21))/(2/(-108))?
2
Let m = 6 + -5. What is the units digit of m?
1
What is the tens digit of 59 - (4 - 4/1)?
5
Suppose -3*c = -1 + 7. Let f be (2/(-4))/(c/4). What is the units digit of f + (18*-1)/(-3)?
7
Suppose -s + 0*s = -6. What is the units digit of s + -1*4/2?
4
Suppose 3*b - 2*b = 21. What is the units digit of b?
1
Let o be (-1)/(-1) - 2/1. Let d = 17 - 12. Let q = o + d. What is the units digit of q?
4
Let q be 0/(3 + -4 - -2). Suppose 0*t + t - 1 = q. What is the units digit of t?
1
Let y be 1*27 + -9 + 7. Suppose -z = 4*z - y. Suppose -3*u + 24 = -z*a, -2*a + 58 = u + 3*u. What is the units digit of u?
3
Let d(v) = -3*v - 1. Let k be d(-1). Suppose 50 = 3*m - k*a, 0 = -2*m - 3*a + 38 + 4. What is the units digit of (-2)/9 + 148/m?
8
Let i(k) = k**2 - 18*k + 3. Let v be i(12). Let a = v + 99. What is the tens digit of a?
3
Suppose -4*v + 9*v = -x + 3, 6 = -v + 2*x. Suppose v = 3*u - 8*u + 15. Suppose 3*r = 8*r - 2*k - 31, r - u*k - 1 = 0. What is the units digit of r?
7
Let m = 9 + -4. Let d = 7 - m. Suppose 2*v - 7*v - 11 = 2*t, -t - v = -d. What is the units digit of t?
7
Let m be (-1 - -2)*(9 - 2). Let w = -3 + m. What is the units digit of w?
4
Suppose 14 = -3*l - 1. What is the units digit of 14 - l/((-10)/(-6))?
7
Suppose -2*g - 3 = o, -g - 3 = -4*g + o. What is the units digit of g/(-1) - (-5 + 2)?
3
Suppose -2 = -3*p + 25. Let y = -14 + 14. Let u = y + p. What is the units digit of u?
9
Let j be 2 + (0/1)/(-3). Suppose -6*m + 24 = -j*m. What is the units digit of m?
6
Let o = 48 - 5. What is the tens digit of o?
4
Suppose 49 = 2*s - 25. Let z = 89 - s. Suppose 0 = -h - 3*h + z. What is the tens digit of h?
1
Suppose -4*x + 186 = -10*x. Let n = x + 43. What is the units digit of n?
2
Let w be -2 - (-3 + 3 + -6). Suppose 23 = w*l - 17. What is the tens digit of l?
1
Let b(t) = 2*t**2 + 2*t - 2. Let z be b(2). Let q(p) be the first derivative of -p**4/4 + 10*p**3/3 + p**2/2 - 7*p + 5. What is the units digit of q(z)?
3
Let i(j) = j**3 - 7*j**2 + 4*j - 10. Let l be i(7). Suppose l = -2*m + 8. What is the units digit of (-12)/m + 14/(-35)?
2
Let u be (-3)/(-2) + 2/4. Let f be u/((-6)/(-9)) + 15. Suppose 0 = -5*l + f + 37. What is the tens digit of l?
1
Let g = 7 + -2. Suppose 5*x + 5 = 0, -g*a + 5*x + 14 = -16. Suppose a*j - 3 = 67. What is the units digit of j?
4
Let m be (49/7)/(1/(-1)). Let i(n) = -5*n - 7. What is the units digit of i(m)?
8
Let n be (-4)/10 - (-99)/(-15). Let t = 16 + n. What is the units digit of t?
9
Let g = -10 + 7. Let a = -1 - g. What is the units digit of a?
2
Suppose 3*t - 13 = -k, 0*k = 5*k - 2*t - 116. Let o = 35 - k. What is the units digit of o?
3
Suppose -2*t + 2 - 36 = 0. Let y = -7 - t. What is the units digit of y?
0
Let g(l) = 36*l**2 - 15. What is the units digit of g(3)?
9
Suppose -215 = -7*w + 2*w. What is the tens digit of w?
4
Suppose 12*c - 656 = 4*c. What is the units digit of c?
2
Suppose 4*v = 3*v - 2. Let b = -2 - 0. What is the units digit of 4/(1 - (v - b))?
4
Suppose -5*s = -4*s + 9. Let h = s + 28. What is the units digit of h?
9
Let n be 40/(-8)*(1 + -7). Let d = n - 28. What is the units digit of d?
2
Suppose 0 = -4*r - r - j + 4, 2*r + 3 = -5*j. What is the units digit of 6 - 3 - (r + -8)?
0
Let j(m) = 5*m**3 + 3*m**2 - 8*m + 3. Let p(i) = -6*i**3 - 4*i**2 + 9*i - 2. Let k(h) = 4*j(h) + 3*p(h). What is the units digit of k(3)?
5
Let r be ((-6)/4)/((-9)/12). Let u(o) = o**2 - 6*o. Let l be u(6). Suppose -r*f + l = -16. What is the units digit of f?
8
Suppose -2*b = -0*b. Suppose -2*s + 6*s - 4 = b. What is the units digit of s?
1
Suppose -3 = -4*x + 2*p + 5, -20 = -4*x + 5*p. Suppose -3*t = -4*t - 5*u + 9, -3*t + 2*u + 10 = x. What is the units digit of t?
4
Let t(v) = 8*v - 5. What is the units digit of t(26)?
3
Suppose -2*f + 5*p = 3*f - 705, -5*f + p = -689. What is the units digit of f?
7
Let q(c) be the second derivative of c**5/20 + c**4/12 - c**3/3 + c**2/2 - 2*c. What is the units digit of q(2)?
9
Let j be (4/6)/(4/144). Let k = j + -11. What is the tens digit of k?
1
Let c be -10*-1*2/4. Let y(h) = 5*h**2 + 2*h - 1. Let d be y(1). Suppose d = -m + 5*j - j, -c*j + 40 = 2*m. What is the units digit of m?
0
Let t(b) = 4*b - 6. What is the units digit of t(3)?
6
What is the units digit of (-4)/(-10) + 726/110?
7
Let o(k) be the third derivative of k**4/4 + k**3/2 - 6*k**2. What is the units digit of o(3)?
1
Let t = 215 - 189. What is the units digit of t?
6
Suppose -x - 5*s = -30, 2*x - x = s + 12. Let p = 33 - x. What is the tens digit of p?
1
What is the hundreds digit of 119 + -2 + 1 + 6?
1
What is the units digit of (-20)/(-270)*-3 - (-2020)/18?
2
Suppose -12 - 3 = -5*s, 4*k = 3*s - 17. Let a be (0 - -1) + 0 - k. What is the units digit of 1 + -1 - (-6)/a?
2
Let d(j) = 15*j + 1. Let x be d(-1). Let i = -10 - x. Suppose i*h - 18 = 18. What is the units digit of h?
9
Let n(c) = c**3 - 4*c**2 - 3*c - 6. Let j be n(5). What is the units digit of (2*j)/(5/10)?
6
Suppose -5*w = -0*w. Suppose -4*o + 3*o + 45 = w. Suppose 0*l = -5*l + o. What is the units digit of l?
9
Let x(p) = p**2 - 14*p - 5. What is the tens digit of x(-10)?
3
Suppose 4*s = x - 60, -s + 221 = 4*x + 2*s. Suppose -c = 3*c - x. What is the units digit of c?
4
Suppose -3 = 3*w, -5*v + 4*w = -0*v - 109. What is the tens digit of v?
2
Let k(y) = -y. Let m be k(4). Let l = m - -5. Let h = 3 + l. What is the units digit of h?
4
Let n = 129 - 96. What is the units digit of n?
3
Suppose -j - 3*f = -1 + 3, -6 = j + 4*f. Suppose 2*z + x - 19 - j = 0, 60 = 4*z + 4*x. What is the tens digit of z?
1
Let s = -27 - -57. What is the tens digit of s?
3
Let a(q) = -1. Let m(n) = -n + 3. Let l(d) = -2*a(d) - m(d). What is the units digit of l(9)?
8
Suppose -w - 4 = -8. Suppose 0*h - h = -w. What is the units digit of h?
4
Let c = -1 - -21. What is the units digit of c?
0
Let y(q) = -5*q - 10. Let x be y(-3). Suppose x = 4*u - 71. What is the units digit of u?
9
Let m = 105 - 76. Let a be (2/2 + -2)*-16. Let l = m - a. What is the units digit of l?
3
Suppose -5*n + 76 = 4*w, 5*w + 4*n - 30 = 4*w. What is the units digit of w?
4
What is the units digit of 398/12 + (-3)/18?
3
Suppose 3*z - z - 6 = 0. Suppose 0*u = -z*u + 12. Suppose 0 = -3*p + 2*a + 11, 5*p - 1 - 10 = -u*a. What is the units digit of p?
3
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