hat is the units digit of k?
1
Let p(w) = -5*w - 15. Let z(q) = 4*q + 14. Let o(u) = -6*p(u) - 7*z(u). Let j = 16 - 10. What is the units digit of o(j)?
4
Suppose 0 = -0*i - 4*i + 56. What is the units digit of i?
4
Let f be 0 - (-3 + 2/2). Suppose -5 = -t - f. What is the units digit of t?
3
Let d(m) = -m - 1. Let r(b) = b + 2. Let x(w) = 4*d(w) + 3*r(w). Let o be x(-6). Suppose o = f + 1. What is the units digit of f?
7
Suppose -4*y + 3*r + 14 = 0, 3*r - 7*r = 2*y + 4. What is the units digit of y?
2
Let n(d) = -2*d - 3. Let t = -9 + 5. Let f be n(t). Suppose 5*k - 3*r = 9, 3*k + f*r = 14 + 5. What is the units digit of k?
3
Suppose -16*i + 93 = -13*i. What is the units digit of i?
1
Let a = -2 + 5. Let y = -4 - -5. Suppose -2 = -a*b + y. What is the units digit of b?
1
What is the tens digit of (-39)/26*(1 + -15)?
2
Let n be 10/(4/(3 - 1)). Let g(m) = m**3 - 4*m**2 - 7. Let i be g(n). What is the units digit of (-4)/i + (-92)/(-9)?
0
Suppose 5*s = 2*m + 8 + 17, -3*m = s + 12. What is the units digit of s?
3
Let m be 4/2*(2 + -1). Let f(g) = g**3 + 3*g**2 - 2*g + 1. Let q be f(-3). Suppose -m*s + q + 11 = -2*o, 4*s + o - 21 = 0. What is the units digit of s?
6
Let y be -15*(16/(-10))/2. What is the units digit of (3/(-6))/(-1)*y?
6
Let k(v) be the third derivative of v**4/12 - 5*v**3/6 - v**2. Let r be k(4). Let m = r - 2. What is the units digit of m?
1
Let d = -7 + -2. Let y = d - -17. What is the units digit of y?
8
Let k be (0 + -4)/(2/(-11)). Suppose -2*p + p - k = -5*q, 0 = -2*p - q. What is the units digit of -4 - p - (0 + -5)?
3
Let i be (-1 + 4/2)*14. Suppose -42 = -4*u + i. What is the tens digit of u?
1
Let y(i) = -10*i + 8. What is the tens digit of y(-6)?
6
Let w(l) = 12*l**2 + 2*l + 1. Let y be w(-1). Suppose 0 = n + 2 - y. Let x = 10 - n. What is the units digit of x?
1
Let o = -5 + 1. Let a = 30 + o. What is the units digit of a?
6
Let k = 4 + -3. What is the units digit of -3*((-44)/6)/k?
2
Let p(f) = 54*f**2 - 3*f + 3. What is the units digit of p(2)?
3
Let g(f) = f**3 + 9*f**2 + 9*f + 6. What is the units digit of g(-6)?
0
Suppose 0 = -c + 4*c - 4*k - 9, 6 = 2*c - 3*k. Suppose r = -c*t - 12, 0 = 2*r + r - 5*t - 34. What is the units digit of 2 + -4 + 0 + r?
1
Let x(t) be the first derivative of -t**3/3 + 13*t**2/2 + 2*t + 9. What is the tens digit of x(9)?
3
Let r(y) = y. Let h = 13 - 9. What is the units digit of r(h)?
4
Let q(j) be the third derivative of j**7/840 - j**6/40 + 13*j**4/24 - j**3/2 + j**2. Let b(o) be the first derivative of q(o). What is the tens digit of b(9)?
1
Let t be (-4)/22 - (-46)/11. Suppose 6 = 2*h + t*z, -2*h + z = 3*z - 8. What is the units digit of h?
5
Let x(f) = 2*f**2. Let h be x(-1). What is the units digit of 64/(-24)*(-21)/h?
8
Let x = -33 - -340. What is the units digit of x?
7
Suppose 252 = 31*t - 29*t. What is the tens digit of t?
2
Suppose -1 = -2*o + 5. Suppose 0 = -3*c - 0*c + 4*r - 44, 0 = -4*c + o*r - 47. Let m(p) = -p - 2. What is the units digit of m(c)?
6
Let m be 1/(-4)*-4*12. Let q = m - 8. What is the units digit of q?
4
Suppose -4*o - 5*f = 7, 3*f + 2 = 5*f. What is the units digit of 9 + 9/3 + o?
9
What is the tens digit of 35 + 0*(1 + -1 - -1)?
3
Let x(h) = h**2 + 10*h + 6. Let c be x(-8). Suppose -3*i - 4*l = -41, -3*l - 5 = 7. Let j = c + i. What is the units digit of j?
9
Suppose 3*l - 29 = -l - s, l = -5*s + 12. Suppose 4*c - l = -23, 4*y + 8 = -5*c. What is the units digit of y?
3
Let b = -5 + 0. Let z = 8 + b. What is the units digit of z?
3
Let r(i) = i**3 + 3*i**2 + i. Let c be r(-2). Suppose m = -f + c, m - 9 = -2*m - 2*f. Suppose m + 19 = 3*u. What is the units digit of u?
8
Suppose 6*u - 108 = 204. What is the tens digit of u?
5
Suppose 0 = 29*i - 23*i - 726. What is the tens digit of i?
2
Let h(i) = -22*i - 1. Let f be h(1). What is the units digit of f/(-4) + 6/(-8)?
5
Suppose -151 + 47 = -4*z. What is the units digit of z?
6
Let j = 63 + -32. What is the tens digit of j?
3
Let a = -1 + 5. Let v be a/(-6) + (-222)/(-9). Let h = v - 15. What is the units digit of h?
9
Let p be 0/(12/3 + -2). Let t = -1 - 6. What is the units digit of 2 - (p - -1) - t?
8
Suppose 0 = 9*i - 7*i - 4. Suppose 2*p - 10 = -i*l + 56, -2*p - 45 = -l. What is the units digit of l?
7
Let y = 399 + -133. What is the units digit of y?
6
Let f(o) = o**2 + 8*o - 4. Let a = -12 + 3. Let u be f(a). Suppose 0*r - 3*k = -4*r + 40, -r + u*k + 27 = 0. What is the units digit of r?
7
Suppose -3*t = 7*a - 5*a - 297, -598 = -4*a - 2*t. What is the hundreds digit of a?
1
Let w(a) be the second derivative of a**3/6 - a**2/2 + a. Let g(q) = 1. Let j(n) = -6*g(n) - w(n). What is the units digit of j(-7)?
2
Suppose -2*b + 30 = -24. Suppose -3*u + 3*l = 99, -u + 0*u - l - b = 0. What is the units digit of (-204)/u - 1/(-5)?
7
Let v(m) = m**2 - m. Let o be v(-2). Let l(w) = w + 7. Let b(h) = -1. Let s(i) = 3*b(i) + l(i). What is the tens digit of s(o)?
1
Suppose 0*d = -d. Let c be 1/(2 + -1 + d). What is the units digit of 5/3 - c/(-3)?
2
Suppose 19*k + 104 = 21*k. What is the units digit of k?
2
Let k(n) = n**2 - 2*n - 4. What is the units digit of k(-4)?
0
Suppose -5*l - 1 + 26 = 0. Let i(f) = -2*f + 4. Let d be i(l). What is the units digit of -6*(15/d + 2)?
3
Suppose 5*t = -5*p + 105, 3 = -t + 8. Let y = 1 + -11. Let u = p + y. What is the units digit of u?
6
Let h = -2 - -7. Suppose 0 = -z - 3*z + 20. Suppose 6*y - 5*v - 9 = 3*y, -15 = -h*y + z*v. What is the units digit of y?
3
Let m(j) = j**2 + 4*j - 3. Let n be m(-4). Let b = 7 + n. Suppose 6 = -s + b*s. What is the units digit of s?
2
Suppose v + 5 = 9. What is the units digit of 6 - v - -7*1?
9
Suppose -43 = -g - 4*k + 34, -325 = -5*g - 5*k. What is the units digit of g?
1
Let u(v) = v**3 + 6*v**2 + 2*v - 3. Let y be u(-6). Let w be ((-18)/(-5))/(3/y). What is the units digit of (-2)/(-5) + w/(-5)?
4
Suppose -8 = -4*d - c + 5*c, 15 = -5*c. Let s = d - -1. Suppose s*m - m + 7 = 0. What is the units digit of m?
7
Let i be (110/15)/((-4)/(-18)). Let b be 176/i + (-2)/6. Suppose 4*m + m = b. What is the units digit of m?
1
Let t(x) = -3*x - 1. Let a be 14/8 - 6/(-24). Let i(q) = -2*q + 1. Let l be i(a). What is the units digit of t(l)?
8
Let x be (1 + -7)*(-4)/6. Suppose -x*t + 7*t = 24. What is the units digit of t?
8
Let s be 10/(((-4)/(-6))/1). Suppose 5*i - s - 19 = -4*c, -4 = -2*i. What is the units digit of c?
6
Let v(k) = 1 - 4*k + 0 + 2*k. What is the units digit of v(-3)?
7
Let h be (0 - 5) + 16/8. Suppose 0 = 4*b - 2*d - 56, 58 = 3*b - d + 15. Let q = b + h. What is the tens digit of q?
1
Let y = 1 + -3. Let w(m) be the second derivative of -2*m**3/3 + 5*m. What is the units digit of w(y)?
8
Suppose -u = -j + 4, 0 = -2*u + 3*j - 4 - 6. Let w = 2 + u. Suppose 0 = -z + 3*g + 13, w = -z + 3*g - 4*g + 5. What is the units digit of z?
7
Suppose 3*q - 4 - 44 = 0. Suppose -2*s = -0*s + 3*r - q, -3*r = -4*s - 4. What is the units digit of s?
2
Let l = -199 + 510. What is the tens digit of l?
1
Suppose 4*x + 0*x + 56 = 0. Let d be 2/7 - (-32)/x. Let p(h) = -h. What is the units digit of p(d)?
2
Suppose -3*k = -2*n + 53, -119 = -9*n + 4*n + 3*k. What is the units digit of n?
2
Suppose -2*j - 3*t - 297 = -7*j, -2*t + 302 = 5*j. What is the units digit of j?
0
Suppose -4*r + 56 + 16 = 0. What is the tens digit of r?
1
Let n(g) = -g + 5. Let d(h) = h. Let o be d(-5). What is the units digit of n(o)?
0
Suppose 0 = -d + 4, 4*d = -3*a - 0*d - 56. Let t = -13 - a. What is the tens digit of t?
1
Let i(b) = -2*b**2 - 44*b + 16. What is the tens digit of i(-22)?
1
Suppose -5*x + 2*c + 20 = 0, 5*x - 2*c + 15 = -7*c. Suppose -5 = -3*a - x*a. What is the units digit of a?
1
Suppose -5*a + 2*t + 246 = 0, 88 + 168 = 5*a + 3*t. What is the units digit of a?
0
Let i(w) be the second derivative of 2*w**3/3 + w**2/2 + 2*w. Let s(k) = -9*k - 1. Let b(c) = -5*i(c) - 2*s(c). What is the units digit of b(-4)?
5
Let p(m) = 13*m**3 + m. Let i be p(-1). Let c be -2*-1*1*11. Let y = c + i. What is the units digit of y?
8
Suppose -5*m + 30 = -20. What is the units digit of m?
0
Suppose 27 = 5*b + 4*x, x + 5 = 3. Suppose -b = 3*l - 55. What is the units digit of l?
6
Suppose 2*h - h - 20 = 0. What is the units digit of h?
0
Let r(q) = q**2. Let y be r(1). Let k be (1 + y + 0