20. Suppose 2*v - 53 = 5*u, -4*v + 0*v - q*u = -36. What is the units digit of v?
4
Suppose 2*i + 15 = 5*i, -2*w + 3*i + 31 = 0. What is the units digit of w?
3
Suppose -3*y - 5*j = 29, -y = -6*y + 5*j + 5. Let q be 2/1 + 1 + y. Suppose -3*m - 4*f = -49, -3*f = -q*f - 12. What is the tens digit of m?
1
Let y(q) = -86*q**3 - q**2 + q + 1. What is the units digit of y(-1)?
5
Let r be 3/(-9) - 102/(-9). Suppose -5*o + 59 = -r. What is the tens digit of o?
1
Suppose 63 = -4*k + 367. What is the tens digit of (-4)/6 + k/6?
1
Suppose 4*o + 4*r = 8, 0 = 2*o - 5*r + 3*r - 16. Suppose 3*c = -0*c - 3*u + 12, o*c = u + 20. Suppose -m = -0*m - c. What is the units digit of m?
4
Let j be -1 + (-2 - 1*-9). Let s = 3 - j. Let t = s - -6. What is the units digit of t?
3
Let n(x) = 7*x**2 - 7*x + 3. What is the units digit of n(6)?
3
Let t be (-2262)/21 - 10/35. Let n = -77 - t. What is the tens digit of n?
3
Suppose 5*q + 2*x - 492 = 0, -5*q + 496 = x - 0*x. Let p = -36 + q. Suppose -5*v + 65 = -2*u, 4*v + 2*u = 6*u + p. What is the tens digit of v?
1
Let g(r) = -2*r - 6. Let t(x) = x + 3. Suppose 3*d + 40 = -4*p, 5*p + d + 18 = 3*p. Let w be t(p). What is the units digit of g(w)?
2
Suppose -1216 = -4*r - 5*j - 295, 2*j = -6. What is the units digit of r?
4
Suppose 2*j + 48 = 2*p - 182, -2*p = -4*j - 236. What is the hundreds digit of p?
1
What is the units digit of (-25)/(-15)*-3 - -139?
4
Suppose 4*u = 8, 0*y - 10 = -2*y - 3*u. Suppose -1 + 15 = y*d. What is the units digit of d?
7
Let u(a) = 7*a**2 - 3*a - 3. What is the units digit of u(-3)?
9
Suppose -12 = -3*l + 3. Suppose l*x = -2*c - 15, 5 = -c - c - 3*x. What is the units digit of c?
5
Let w(i) = i**2 - 8*i + 9. What is the units digit of w(7)?
2
Suppose 2*x = -3*n + 56, 0 = x + n - 3*n - 35. What is the tens digit of x?
3
Let k = 115 - 16. What is the units digit of k?
9
Suppose -3*g = -40 + 13. What is the units digit of g?
9
Let p(t) = t**3 - 3*t**2 - 3*t - 2. Let u be p(4). What is the units digit of 1 + u + 0 + 0?
3
Let o be (-2)/10 - (-52)/10. Suppose -o*v - 2*a + 87 = 7, 0 = 5*v + 3*a - 80. What is the units digit of v?
6
Let g be 4/3 + (-10)/(-15). What is the units digit of (6/(-5))/(g/(-10))?
6
Suppose 5*i - 758 = 4*y, y = i - 2*y - 156. What is the tens digit of i?
5
Let z be -2 - (-3)/((-6)/(-32)). Suppose -2*v + 6 = -z. What is the units digit of (v/4)/(4/8)?
5
Let i(c) = c + 10. Let o be i(-10). Suppose o = -4*y + y + 39. What is the tens digit of y?
1
Let v(s) be the third derivative of s**5/15 - s**4/24 - s**3/6 + s**2. What is the units digit of v(-1)?
4
Let c(g) = -13*g + 7. What is the tens digit of c(-5)?
7
Suppose 4*y + 7 = 47. What is the units digit of y?
0
Let w(p) be the third derivative of -p**5/60 - p**4/4 + p**3/3 - 2*p**2. Let s = -7 + 2. What is the units digit of w(s)?
7
Let u(x) = -2*x + 1. Let z be u(1). Let g be 2 - (z + 1 - -2). Suppose 3 = 5*v + 3*d - 10, -4*v + 5*d + 3 = g. What is the units digit of v?
2
Let c(y) = 6*y**2 - 5*y + 5. What is the units digit of c(5)?
0
Suppose -3 = -5*o + 2. What is the units digit of (11/(-3))/(o/(-3))?
1
Let w(m) = -12*m - 1. Let s be w(-1). Let v = 12 - s. What is the units digit of v?
1
Let d = 51 - 30. Suppose 29 = -2*g - d. What is the units digit of (-2)/10 + (-205)/g?
8
Let n = 2 + -5. Let u(i) = -i - 2. What is the units digit of u(n)?
1
Suppose 320 = 3*u + 17. What is the tens digit of u?
0
Suppose 112 = 2*z + 2*y, -6*y + 2*y - 298 = -5*z. What is the tens digit of z?
5
What is the hundreds digit of 8 - (-4235)/30 - 2/12?
1
Let x be 448/9 - (-6)/27. Suppose -2*d - 3*d + x = 0. What is the units digit of d?
0
Let v(g) = 4*g**2 + 7*g + 3. Let y be v(-2). Let d be -5*((-8)/1 + 1). Suppose d = 3*r + y*m, -5*m - 5 = -4*r + 3*r. What is the tens digit of r?
1
Suppose -4*p + 517 = 3*s, 0*s - 4*s = 4*p - 684. What is the hundreds digit of s?
1
Let q(t) = -t + 12. Let d be q(-13). Let u = 62 - d. What is the units digit of u?
7
Let o = 4 + -9. Let r(y) = y**3 + 6*y**2 - 4*y - 3. What is the units digit of r(o)?
2
Let l(v) = -v**3 - 8*v**2 + 8*v + 9. Let n be l(-9). Suppose -15*f - 132 = -n*f. What is the units digit of f?
4
Let a(u) = 4*u + 3. Let i be a(-5). Let m = -3 - i. What is the units digit of 88/m + (-6)/21?
6
Suppose 6 = -2*w - 18. Let d = w - -18. What is the units digit of d?
6
Let t(v) = -v - 2*v + 11 - 7. Let s be 6/27 + (-29)/9. What is the tens digit of t(s)?
1
Let u = -134 + 266. What is the hundreds digit of u?
1
Let u(m) = -4*m - 2. Let f be u(-4). Let r = f - 9. What is the units digit of r?
5
What is the tens digit of -38*((-6)/4 - 0)?
5
Suppose 7*u = 3*u - 8. Let r = u - -4. Suppose 0 = -5*s + 2*d + 6, s + d = r*d. What is the units digit of s?
2
Suppose 3*u = -a + 4 + 3, -5*u + 10 = 2*a. What is the units digit of u?
4
Let u be 0/((-1 - -5) + -2). Suppose 4*z - v = -u*v + 61, z - 4*v - 4 = 0. What is the units digit of z?
6
Let w(q) = -6*q + 1. Let u be w(4). Let j = 2 - u. What is the tens digit of j?
2
Let k(s) = s**3 + 6*s**2 - 12*s - 15. Let r be k(-7). Suppose 0 = g - r - 9. What is the units digit of g?
9
Let o be ((-1)/(-3))/(3/27). Suppose 0 = -o*d - d + 12. What is the units digit of d?
3
Let s(f) = 3*f. Let w be s(1). Let k be 0 + (-24)/(1 - w). Suppose 2*m - k = -m. What is the units digit of m?
4
Let l be (-1)/(-2)*(-2 + 2). What is the tens digit of (-25)/3*(l + -3)?
2
Let r(t) = 5*t + 17. What is the tens digit of r(13)?
8
Let j(w) = -3*w - 2. Let y be j(-2). Suppose -78 = -3*p + 3*g, 4*p + g - 124 = -0*g. Suppose p = y*k - 34. What is the units digit of k?
6
Let t(m) be the second derivative of -m**3/6 + 3*m**2 + 2*m. What is the tens digit of t(-6)?
1
Let s(i) = -i**3 - i**2 + 12*i + 5. What is the units digit of s(-5)?
5
Suppose -a + 4*a = 0. Suppose 110 = -a*o + 5*o. Suppose o = 2*w - 0*w. What is the tens digit of w?
1
Let w(j) = j**2 - 2. Let f be ((-1)/(-1))/((-4)/8). Let h be w(f). Let l = 3 + h. What is the units digit of l?
5
Let l = -4 + 5. What is the tens digit of ((l - 22)*1)/(-1)?
2
Suppose 0 = -3*k + 5*k - 4*x - 354, 4*k - x = 736. Suppose -k = -18*i + 13*i. What is the units digit of i?
7
Let m = -9 + 6. Let p(q) = -q + q - q + 1. What is the units digit of p(m)?
4
Let n(m) = -m**3 + 5. Let r be n(0). Let s be (-9 + r)/((-4)/10). Suppose -s = 5*c, -4*d - 5*c + 5 = 3. What is the units digit of d?
3
What is the units digit of 1 + 0 - (-8 + 5)?
4
Suppose 5*m + 0*n = -2*n + 62, 2*n = 4*m - 46. Suppose -2*c = 2*c + m. Let l = c + 7. What is the units digit of l?
4
Let g(a) = -2*a**2 + a + 1. Let b be g(5). Let d = b - -188. What is the units digit of (-6)/15 - d/(-10)?
4
Let t(b) be the third derivative of 0*b + 1/60*b**5 - 1/4*b**4 - 2*b**2 + 7/6*b**3 + 0. What is the units digit of t(6)?
7
What is the tens digit of 7/21 - 254/(-3)?
8
Suppose -34 - 11 = -3*f. Let o be (6/10)/(3/f). What is the units digit of 1*(2 - o)*-3?
3
Suppose -5*n + 2*x = 150, 0*x - 3*x = 2*n + 79. What is the units digit of (-4)/14 - n/14?
2
Let q = -88 + 311. What is the tens digit of q?
2
Suppose 2*k = 42 + 66. Suppose 4*o - f - f - 86 = 0, 2*f - k = -3*o. What is the tens digit of o?
2
Let k(g) = -g - 10. Let m be k(0). Let f = m - -30. What is the units digit of f?
0
Let z be -2 - 3/(9/186). Let s = 109 + z. Suppose 2*g + s = 4*i - 3*g, 60 = 5*i - 5*g. What is the tens digit of i?
1
Let f = 195 + -100. Suppose f = 5*i - 5*h, -2*i - 2*h = -14 - 8. What is the units digit of i?
5
Let z = 357 - 189. What is the tens digit of z?
6
Let g(i) = -i + 9. What is the units digit of g(-13)?
2
Let f(g) = g**3 + 6*g**2 + 4*g - 5. Let h be -2 + 2*(-6)/4. Let i be f(h). Suppose 12 = 3*j - i*j. What is the units digit of j?
4
Suppose 1 = k + 4. What is the units digit of ((-2)/(-6))/(k/(-441))?
9
Suppose 2*w + w + 9 = -d, 3*w + 9 = -3*d. Suppose d = -2*f + 6*f - 88. Suppose -4*i + 2 = 2*a, f = 3*a + a - i. What is the units digit of a?
5
Let k = 34 - -6. What is the tens digit of k?
4
Suppose -5*k + 2*s + 292 = 0, 2*k - 4*s = 162 - 42. What is the tens digit of k?
5
Let x(b) = -b**3 - 3*b**2 + 2*b - 1. Suppose -4*g = -2*g + 8. What is the units digit of x(g)?
7
What is the tens digit of (-56)/(-12)*(-27)/(-2)?
6
Let x(g) = -2*g + 10. What is the units digit of x(-10)?
0
What is the tens digit of ((-201)/12)/((-4)/