20. What is the units digit of w?
7
Suppose 101 = l - 6*l + a, -l = -3*a + 23. Let h = l + 65. What is the units digit of h?
5
What is the units digit of -3*1 + 32 + -10?
9
Let b = 154 + -95. What is the tens digit of b?
5
Suppose 2*c + 32 = 3*c + 5*n, -5*n = 10. What is the tens digit of c?
4
Suppose 139 = o + 2*o + 5*z, z = o - 49. What is the units digit of o?
8
Suppose k - 3*k = -328. What is the tens digit of k?
6
Let t = 7 - 5. Let c be 6/t - 1*12. Let l = 17 + c. What is the units digit of l?
8
Let o be (-2)/4*2*7. Let u(x) = x**2 + 4*x - 8. What is the units digit of u(o)?
3
Let v(r) = r**3 - 23*r**2 - 20*r + 9. What is the hundreds digit of v(24)?
1
Let u = 16 - -9. Suppose -j + 3*o = -u, 6*j - 125 = j + 4*o. What is the units digit of j?
5
Suppose v = 3*v - 24. Suppose -23 = -5*b + v. What is the units digit of b?
7
Let b(v) = -v + 12. Let a be (2 - 5) + (-1 - -4). What is the units digit of b(a)?
2
Let n = -100 + 171. What is the tens digit of n?
7
Let k = -20 - -61. What is the tens digit of k?
4
What is the tens digit of 5/(1 + 4) - (-2 - 48)?
5
Let f = -11 - -8. Let z = -2 - f. Suppose -7 - z = -d. What is the units digit of d?
8
Let a = -1 + 1. Suppose -3 = -a*x - x. What is the units digit of x?
3
What is the units digit of (-4)/(-1) + (-1 - -4)?
7
Suppose v = -24 - 38. What is the tens digit of 1/3 - v/3?
2
Suppose 0*r + 37 = b - r, -46 = -b + 4*r. What is the units digit of b?
4
Suppose 5*a - 739 = -219. Suppose 3*x + a = -x. Let m = x + 37. What is the units digit of m?
1
Suppose 3*b = 4*b + 3*w - 28, 3*b + 5*w = 80. What is the tens digit of b?
2
Let n(t) = t**3 - t**2 - 3*t - 1. Let y be n(3). Let o = 0 - y. Let v = o - -13. What is the units digit of v?
5
Suppose 5*m = 27 - 7. Suppose -r + 9 = m*r - 3*o, 3*o + 9 = 2*r. Suppose -l + 2*j - 44 = -4*l, -4*j + 16 = r. What is the units digit of l?
2
Let s(d) = -d**2 + 10*d - 7. Let j be (-264)/(-32) - (-3)/4. What is the units digit of s(j)?
2
Let v(g) = 14*g + 2. What is the tens digit of v(1)?
1
Suppose -4*n - 5 + 3 = o, 3*n + 4 = -2*o. Let d be ((-10)/4)/(o/4). Suppose v = -3*m + 10, 2*v + d = -4*m + 19. What is the units digit of v?
1
Suppose -10 = 5*d + 5*p, -d - p + 18 = -5*p. Suppose -2*g + 2*b + 40 = 0, 5*g - 37 = -d*b + 49. What is the tens digit of g?
1
Let t(v) = v**3 + v + 6. Suppose -x = -6*x. What is the units digit of t(x)?
6
What is the tens digit of 222/8 + 3/12?
2
Let q(j) = j**2 - 6*j. Suppose -5*v + 23 = -3*g - 3, 3*v = 5*g + 6. What is the units digit of q(v)?
7
Suppose -2 = 2*t, 2*l - 3*l - 5*t = 0. Suppose 2*z = 2*n + 98, -3*z + n - l*n = -161. Suppose -24 = -5*o + z. What is the tens digit of o?
1
Let x be (-597)/(-6) - (-3)/6. Suppose 0 = -n - n + x. What is the units digit of n?
0
Let x = 249 - 153. What is the units digit of x?
6
Let l = -3 + 12. Suppose t + 2*t = -l. What is the units digit of 12 + t + 0 + -1?
8
Suppose c - b - 55 = 0, 4*b + 74 = -5*c + 340. Let w = 81 - c. What is the tens digit of w?
2
Let q = 125 + -63. What is the units digit of q?
2
Suppose -58*y = -59*y + 181. What is the units digit of y?
1
Suppose 3*z - 5*u = 4 + 9, 5*u = 4*z - 14. Let d be (-3 + z)*-1 - -12. Suppose -a = -0*a - d. What is the tens digit of a?
1
Let p = -110 - -156. Let x = p - 3. Let i = x + -26. What is the units digit of i?
7
Suppose 10*y - 57 - 313 = 0. What is the units digit of y?
7
Let v(p) = p**3 - 3*p**2 - 3*p - 3. Let f be v(4). What is the units digit of -3 + 7 + f + 0?
5
Let p be 48/4 - (-1 + 1). Suppose 3*v + 3*g = p, -v - 3*v + 2*g + 4 = 0. What is the units digit of 1/((-1)/(-1))*v?
2
Let x(d) = -9*d**2 - 2*d - 1. Let a be x(-1). Let b = 28 + a. What is the units digit of b?
0
Let l = -12 + 13. What is the units digit of l?
1
Suppose 15*i - 19*i = -476. What is the tens digit of i?
1
Suppose t - 12 = 18. What is the units digit of t?
0
Let p = -12 + -9. What is the units digit of (-6 - p)*(-1)/(-3)?
5
Let y = -11 - -94. Let o = y - 46. What is the units digit of o?
7
Let f(h) be the first derivative of -h**3/3 + 5*h**2/2 - 6*h + 3. Let i be f(5). Let x = 9 + i. What is the units digit of x?
3
Let g(s) = -5*s - 7. Let a be 2 + (-1 + 0 - 6). What is the units digit of g(a)?
8
Suppose -7*i - 188 = -9*i. What is the tens digit of i?
9
Let d(x) be the second derivative of x**3/6 + 3*x**2/2 + 3*x. Let r be d(0). Suppose r*s + 7 = -4*v, s + 3*s + 16 = -2*v. What is the units digit of v?
2
Suppose 0 = 7*q - 11*q + 200. Let b = q + -18. What is the units digit of b?
2
Let n = 13 + 5. What is the units digit of n?
8
Suppose q + 2*q - 57 = 0. What is the tens digit of q?
1
Let y(z) be the third derivative of -7*z**6/120 - z**5/30 + z**3/6 + 2*z**2. Let l be y(-1). Let r(u) = u**2 - 6*u + 3. What is the units digit of r(l)?
3
What is the hundreds digit of (4 - -1) + 2 + 103?
1
Suppose 2*n = 38 + 36. What is the units digit of n?
7
Let o(n) = -2*n. Let j be o(-1). Suppose -2*h = j*h + 8. Let l = h - -8. What is the units digit of l?
6
Let m(l) = -38*l**3 + l**2. Suppose a + 3*b + 4 = 0, -5*a = -3*a - 4*b - 2. What is the units digit of m(a)?
9
Let u(v) = v**2 - v - 4. Let q be u(3). Suppose -5 - 5 = -q*t. What is the units digit of t?
5
Suppose 0 = -4*t + 207 + 141. What is the units digit of t?
7
Suppose -10 = 2*v - 0*v. Let o(g) = -2*g + 2. Let d be o(v). What is the units digit of 8/d - 13/(-3)?
5
Suppose -2*q = q - 84. What is the units digit of q?
8
Let l(v) = -v**2 + 7*v - 7. Let s be l(5). Let j(b) = -b**2 + 4*b. Let t be j(s). Suppose t*q - 14 = d + 11, 0 = -q + 4*d - 10. What is the tens digit of q?
1
What is the tens digit of 1/(3/37)*3?
3
Let v = 11 - -7. Let j be 60/v*6/4. Suppose j*s = 2*g - 14, -g - 52 = -5*g + 4*s. What is the tens digit of g?
1
Let n(b) = 10*b - 4. Let g be n(6). Suppose -2*u + 0 + g = 0. What is the units digit of u?
8
What is the units digit of (60/(-50))/(2/(-60))?
6
Suppose 0 = -2*f + 31 + 93. What is the units digit of f?
2
Suppose 7 + 18 = 5*l. Suppose 0*z = l*z. Suppose 0 = -s - z*s + 10. What is the units digit of s?
0
Let i = 5 + -2. Suppose i*p - 2 - 28 = 0. What is the units digit of (-6)/(-15) + 36/p?
4
Let v(y) = y**2 + 4*y + 8. Let i be v(-6). Suppose 4*f = -f - i. Let m = 5 + f. What is the units digit of m?
1
Let n(w) = -12*w + 1. Let b be n(3). What is the tens digit of (0 - 35)*14/b?
1
What is the tens digit of (66/15)/((-28)/10 - -3)?
2
What is the units digit of 41*6/1 - 20/(-10)?
8
What is the units digit of (-6 + 5)/((-1)/8)?
8
Suppose y = 5*i - 151, -29 = 3*i + 3*y - 116. Let t = i - 7. What is the units digit of t?
3
Let c(p) be the third derivative of p**4/24 - 3*p**3/2 + p**2. Let k be c(6). What is the tens digit of (0 - k) + 7 - 0?
1
Let v = 44 + 50. What is the tens digit of v?
9
Let f = 135 + -53. What is the tens digit of f?
8
Suppose 0 = -3*m - 15, -2*f + 2 = -4*f - 2*m. Suppose 0 = -d + 3*c + 10, -d + 8 = -f*c - 3. What is the units digit of d?
7
Let q be ((-3)/2)/(3/30). Let x be 5*(51/q + 3). Let y = x - -7. What is the units digit of y?
5
Let l(n) = 7*n**2 - 4*n + 5*n**2 - 9*n**2. What is the units digit of l(3)?
5
Let s(o) = -o**3 - 7*o**2 + 10. Let v be s(-7). Suppose 6*x - g + v = 2*x, 5*g + 7 = x. Let z(b) = -b**2 - 4*b - 2. What is the units digit of z(x)?
1
Let v(p) = p**3 + 10*p**2 - 7*p - 1. What is the tens digit of v(-10)?
6
What is the units digit of 140/(-21)*(1 + -21 + 2)?
0
Let q(y) = -8*y - 2. Let o be q(1). Let n(a) = a**2 + 10*a + 9. What is the units digit of n(o)?
9
Let v = 44 + -21. What is the units digit of v?
3
Suppose 2*y = -g + 8, -g - g = -5*y + 29. Let c(z) be the third derivative of -5*z**4/24 + 2*z**2. What is the units digit of c(g)?
0
Let v = 2 - 3. Let u(m) = m - 11*m**3 + 392*m**2 - 392*m**2. What is the units digit of u(v)?
0
Suppose -4*y = -4*w - y + 40, 0 = -w + 5*y - 7. What is the units digit of w?
3
Suppose 4*d - 4*s = 16, d + 3*s - 3 = -7. Let c = 23 - d. What is the tens digit of c?
2
Let p = -19 + 22. What is the units digit of p?
3
Suppose 0 = -n + 65 + 4. Suppose -4*u - n = -9*u + 3*m, 0 = 4*m + 12. What is the tens digit of u?
1
What is the units digit of 269 - ((-12)/3 - -3)*0?
9
Suppose 14*k - 9*k = 145. What is the units digit of k?
9
Let p(k) = 4*k**2 - 2*k + 2. Suppose -5*s - 5*f + 6 + 4 = 0, 0 = -2*f. What is the tens digit of p(s)?
