d - 5*d + r + 2 = 0, 3*d = 2*r + 1. Suppose -d*f + 0*f = -93. What is the units digit of f?
1
Let f(w) be the third derivative of -7/60*w**5 + 2/3*w**3 + 3*w**2 + 0*w - 1/120*w**6 + 0 - 1/4*w**4. What is the units digit of f(-6)?
4
Let m(j) = j - 1. Let v be m(3). Let b(k) = k + 1. Let a be b(v). Suppose a*n - 4 - 5 = 0. What is the units digit of n?
3
Let l(s) = -s**3 + 2*s**2 + 2*s - 2. Suppose 0 = 3*u - 3*y - 0*y + 9, -u + 4*y = 6. What is the units digit of l(u)?
0
Let c(o) = o**3 - 4*o**3 + 4*o**3 - 7*o**3 - 1 - o. Let i be c(-1). Suppose i*d - 8 = 2*d. What is the units digit of d?
2
Let v = -21 - -40. What is the units digit of v?
9
Let r(q) = q**3 + 5*q**2 - 2*q + 1. Let s be r(-5). Suppose 4*d = 5*k + s, -d - d - k = -9. What is the units digit of d?
4
Let z be 2/11 - (-299)/(-11). Let w be (2/6)/((-1)/z). Let y(p) = -p**2 + 11*p - 9. What is the units digit of y(w)?
9
What is the units digit of (-1359)/(-27) - 1/3?
0
Suppose -v - r + 15 = 0, 0 = -4*v + 5*r + 28 + 5. What is the units digit of 3*((-136)/v)/(-2)?
7
Let c(b) = -2*b**2 + 2*b. Let z(n) = -3*n**2 + 4*n. Let r(f) = -5*c(f) + 2*z(f). What is the tens digit of r(2)?
1
Let g(o) = -o - 4. Let z be g(-6). Suppose 0 = 2*u - 24 - z. What is the tens digit of u?
1
Let a be 3/(-2) + (-36)/(-8). Suppose -a*l + 2*l - 1 = 0. What is the units digit of (-6)/(-5) - l/(-5)?
1
Suppose 5*c = 20, 3*t + 2*c - 34 = t. Let s = t + 3. What is the tens digit of s?
1
Let u(z) = -15*z**2 + 13*z + 22. Let h be u(-9). What is the units digit of h/(-55) + 4/22?
4
Let v(a) = 44*a + 2. What is the tens digit of v(1)?
4
Let b be (-3)/((-1)/(12/9)). Suppose w = -5, -b*i = -w + 4*w - 21. What is the units digit of i?
9
Suppose g - 12 - 11 = -4*s, 5*g - 5*s - 15 = 0. Suppose -3*t + 2*t + g = x, 5*x = t + 65. What is the units digit of x?
2
Let j(v) be the third derivative of v**5/60 - v**4/8 + v**3/2 + 2*v**2. Let l be 2 + -2 + 4 + -2. What is the units digit of j(l)?
1
Suppose -4*i - 4 = -4*p, 2*i + 0*i - 5*p + 11 = 0. Suppose 0 = i*f - 66 - 4. What is the units digit of f?
5
Suppose -4*f + 9*f - 295 = 0. What is the units digit of f?
9
Let l = -41 - -43. What is the units digit of l?
2
Let i(n) = n + 10. Let t be i(-11). Let w(y) = -5*y - 1. What is the units digit of w(t)?
4
Let m = -6 + 26. Suppose 3*s - m = -s. What is the units digit of s?
5
Suppose -8 - 2 = -5*u - v, -2*v = 2*u + 4. Suppose b = u*s - 9, -5 = -2*s + s. What is the units digit of b?
6
Let j be 156/(3/2 - 0). Suppose -j = -5*n - 2*h, -4*n + 67 = h - 18. Let d = -14 + n. What is the units digit of d?
8
Let j(n) = 3*n. Let v be j(1). Suppose d + 4*x = 27, -2*x + x = -v. What is the tens digit of d?
1
Let f = 12 - 8. Suppose v + 36 = f*v. What is the units digit of v?
2
Suppose 0 = -3*p + 8*p. Suppose 0 = -2*c + 4*t + 20, t + 5 - 2 = p. What is the units digit of c?
4
Let n(m) = m**3 - 6*m**2 + 6*m + 6. What is the units digit of n(5)?
1
Let l = -103 - -214. What is the tens digit of l?
1
Suppose -8*j = -6*j - 4. Suppose -3*i = -5*i + 192. Suppose 2*k - j*a = 32, -k + 3*a = -6*k + i. What is the units digit of k?
8
Suppose -8*g = -3*g + b - 18, g - 10 = 3*b. Let d(z) = 5 + 4 - 3 - 4 - g*z. What is the units digit of d(-3)?
4
Suppose -4*d - 1 = -13. Suppose -d*p + 3 = -0. Let q = 2 + p. What is the units digit of q?
3
Suppose 0 = -3*v - 2*n + 15, 3*v + 0*n - 5*n + 6 = 0. Let u = 5 - v. What is the units digit of u?
2
Suppose 0 = -4*k + 8*i - 4*i + 124, 59 = 2*k + i. What is the tens digit of k?
3
Let o be 8/28 + (-226)/7. Let i = 60 + o. What is the units digit of i?
8
Suppose 2*g - a = -2*g + 47, 5*g - 58 = a. What is the units digit of g?
1
Suppose 0 = -5*z + 4*z + 4. Suppose -12 = z*q - 32. Suppose 10 = 5*o, -q*g - 2*o + 14 + 0 = 0. What is the units digit of g?
2
Let f = -2 + 20. What is the tens digit of ((-60)/(-9))/(4/f)?
3
Let f(s) = -s**3 + 6*s**2 - 2*s + 5. Let a be f(6). Let d(x) = x**3 + 7*x**2 - 3*x - 8. Let j be d(a). Suppose -4*p + 11 = -j. What is the units digit of p?
6
Let o = -16 + 19. Suppose 40 = -l + o*l. What is the units digit of l?
0
Let c(v) = -2*v**2 + 22*v + 3. What is the tens digit of c(9)?
3
Suppose -n + 51 = -3*q - 2*q, -4*n + 129 = 5*q. What is the tens digit of n?
3
Suppose -2*b - 2*t + 86 = 0, 3*b = 4*t + 152 - 37. What is the tens digit of b?
4
Suppose 5*a = -p - 15, p - 5*p + 3*a = -32. Suppose b + p*l - 23 = 0, 4*b + 5*l = -0*b + 92. What is the units digit of b?
3
Suppose -15 = -3*c, -4*c + 6*c - 15 = u. What is the units digit of (2*u)/(3/(-6))?
0
Suppose a + 3*b - 61 = 0, -2*b - 2 = 8. Let o = 120 - a. What is the tens digit of o?
4
Let u = 14 - 8. What is the units digit of (-60)/(-9) + (-4)/u?
6
Suppose -12 = 3*t, -2*x + 44 = 3*x - t. Suppose 4*m - x*m = -96. What is the tens digit of m?
2
What is the hundreds digit of (2 - -1)*(-2)/3 - -275?
2
Let q be -5 + 0 + (-3 - -1). Let y = q - -8. What is the units digit of y?
1
Suppose 3*p - 2*z - 11 = 0, -z = p - 0 - 7. Let u(f) = -f + 5. Let m be u(8). What is the units digit of (m/p)/(2/(-10))?
3
Suppose 44*u = 33*u + 242. What is the tens digit of u?
2
What is the units digit of (1 - 3)*-13 + -1?
5
What is the hundreds digit of 51/((22 - 25)*1/(-12))?
2
Let f(s) = 1. Let g(k) = -k - 4. Let q(u) = 4*f(u) + g(u). Let i be q(-4). Suppose t - i = -n - 0, -3*n + 14 = 2*t. What is the units digit of n?
6
Suppose -4*i = -0*i - 2*z - 86, 0 = -5*i + 5*z + 100. What is the tens digit of i?
2
Suppose -67*t - 69 = -70*t. What is the units digit of t?
3
Suppose 2*d - 30 = -3*d. Let v be (16/(-3))/(4/(-6)). What is the units digit of 4/d*36/v?
3
Let r be 4/(-14) - 216/(-21). Let y = -4 + r. What is the units digit of y?
6
Let i(b) = -b**3 + 3*b**2. Let g be i(3). Let y be (-5 - -7)*(-11)/(-2). Suppose g = 3*p + y - 29. What is the units digit of p?
6
Suppose 4*f = -2*j + 556, 5*f = 4*j - 3*j - 292. What is the units digit of j?
2
Suppose -r + 2*o = -28, -5*r + 0*o = o - 129. Suppose 2*y - r = 18. What is the tens digit of y?
2
Let x(r) = -r**3 - 3*r**2 - 4*r - 3. Let l = -1 - 2. What is the units digit of x(l)?
9
Let g(u) = -u**2 + 2*u + 28. Let o = -1 - -1. What is the tens digit of g(o)?
2
Suppose -3*d + 16 = s, -4*s + 2*d + 81 = -3*d. What is the tens digit of s?
1
Suppose -74 + 8 = -2*z. What is the units digit of z?
3
Suppose 4 = -4*f + 12. What is the units digit of f + 16 - 1 - -2?
9
Suppose -4*j - r = 2*r - 1478, -j + 4*r = -360. What is the units digit of j?
8
Let g be 3/(-9)*54/(-3). Suppose -g*i - 4 = -10*i. What is the units digit of i?
1
Suppose 0*y - 5*w + 24 = y, 2*y = w + 4. Let a be ((-9)/(-6))/(1/2). Suppose 4*r - 2*b + y*b = 16, 0 = 5*r + a*b - 18. What is the units digit of r?
6
Let k(m) = -m**3 - 10*m**2 + m + 12. Let g be k(-10). Let d be -1 + g - (-2 - -1). Suppose 32 = -0*t + d*t. What is the units digit of t?
6
Suppose -11 = -2*k - 2*a - 3*a, 3*k = -2*a + 22. What is the units digit of k?
8
Let b be 0/((-3 + 4)*1). Suppose -2*v = -b*v - 26. What is the tens digit of v?
1
Let b = 8 + -8. Let o = 12 + b. What is the tens digit of o?
1
Let z = 40 + -23. What is the units digit of z?
7
Let d(m) = -8*m - 1. Let j be d(6). Let a = -31 - j. What is the tens digit of (a/(-4))/(3/(-12))?
1
Suppose 4*c - 14 = 34. What is the tens digit of c?
1
Let o = 2 - 1. Let j(v) = v**2 + v + 1. Let l(c) = 9*c**2 + 4*c + 2. Let z(y) = -3*j(y) + l(y). What is the units digit of z(o)?
6
What is the tens digit of (-2)/(-12) - (-5 + (-3450)/36)?
0
Let h(f) = 4*f - 7. Let u = 7 + -1. Let g be h(u). Let q = -11 + g. What is the units digit of q?
6
Suppose 0 = 4*l + f - 69, 5*f = -0*l - l + 41. What is the tens digit of l?
1
Suppose 3*j = -39 + 114. What is the tens digit of j?
2
Let u = -1 - -17. What is the tens digit of u?
1
Let f(c) = -11*c + 4. Let k(j) = -j + 1. Let h(l) = -f(l) + 6*k(l). Let a be h(2). Suppose -4 = -4*v + a. What is the units digit of v?
4
Let a(y) = -2*y - 7. Let n(k) = -k**2 + 7*k. Let z be n(7). Let c = z - 6. What is the units digit of a(c)?
5
Let o(r) = -3*r + 4. Let h be o(-12). Let a = h + -14. Suppose 3*k = -9, 3*y + 2*y - 2*k = a. What is the units digit of y?
4
Let k = 2 - -1. Suppose -2*o + 4*b + 8 = -b, -k*o + 12 = 2*b. Suppose 0 = -n + t + 15, o*t + 40 = 5*n + 6*t. What is the units digit of n?
0
Suppose -2*r + 31 = -p, 0 = 5*r +