- t = -12, 0 = -a*v - 0*t - 2*t + 14. What is the units digit of v?
2
Suppose 3*a + 2*d - 188 = 3*d, -a + d = -66. What is the units digit of a?
1
Let b(v) = 2*v - 2. Let a be b(2). Suppose 0 = -2*g + 4*k + 8, 4*g - a*g + 4*k = 8. What is the units digit of g?
4
Let x = -24 + 37. Suppose -s + 0 + x = 0. What is the tens digit of s?
1
Suppose 4*q = 3*v + 27, -4*v - 3*q = -8*q + 35. What is the units digit of ((-12)/(-10))/(v/(-25))?
6
Let a = -4 - -6. Suppose -a*q = 2*q, 5*q + 5 = p. What is the units digit of p?
5
Suppose -4*k + 8 = -8. Suppose 0 = k*m - 27 - 29. What is the units digit of m?
4
Suppose 3*p + 2*v = -0*v - 22, -3*v - 6 = 0. What is the units digit of (-46)/p*(11 - 8)?
3
Let j(c) = c - 1. Let y be j(6). Let p = 6 - y. What is the units digit of p?
1
Suppose 2*c - 1 = 5. Suppose 0 = 2*o - 3*d - c, o + 4*o = 4*d + 11. What is the units digit of o?
3
Suppose 0 = 3*j - 4*z + 10, 20 = 5*j + 2*z + 2. What is the units digit of j*1*(-2 - -21)?
8
Suppose -4 = -j - 2, -j - 58 = -2*p. What is the tens digit of p?
3
Let g be (-3)/(-1) + (0 - 0). Suppose 2*y - 8 - 13 = g*u, -45 = -4*y + 5*u. Suppose f - y = -3*s, 0*f - f + 2*s + 5 = 0. What is the units digit of f?
9
Let u(z) = -z + 6. Let f be (-2)/3 - 33/(-9). Suppose 6*s - f*s = 3*x + 24, -5*s = -4*x - 37. What is the units digit of u(s)?
1
Let x(o) = 6*o**2 + o - 1. Let s be x(1). Let k(w) = -2*w + 8. Let b be k(s). Let g = b + 14. What is the tens digit of g?
1
Suppose 0 = 4*i + 16, 4*p = 3*p + 4*i + 21. What is the units digit of p?
5
Suppose -4*f = -4*u - 196, 1 = -f + 2*u + 52. Let m = 86 - f. What is the units digit of (-1)/(((-9)/3)/m)?
3
Suppose -2*a = 3*j + 19, -j + 5*j + 5*a + 30 = 0. Let v(t) = t**2 + 4*t - 3. Let b be v(j). Suppose -b*f = f - 27. What is the units digit of f?
9
What is the units digit of 21/(1 + 0/1)?
1
Suppose -4*c = -3*c + 2*v - 399, -2*v = -c + 395. What is the units digit of c?
7
Let a(j) be the third derivative of -j**5/60 - 3*j**4/8 + j**3/6 - j**2. What is the tens digit of a(-4)?
2
Let x(s) = 5 + s + 3*s + s**3 - 5*s - s**2. Let u be x(0). Suppose -3*q = 3*f + 6, -3*q - 2*f + 2 = u. What is the units digit of q?
1
Suppose 3*w + l - 42 = -w, -48 = -5*w + l. What is the tens digit of w?
1
Suppose -4*j + 4*z = 72, z + 3 = -2*z. Let x = j + 11. What is the units digit of ((-22)/8)/(1/x)?
2
Suppose 3*m = 4*w - 419, -5*w + 517 = m + 2*m. What is the hundreds digit of w?
1
Suppose 0*a = 5*a + 10. Let g = 10 + a. What is the units digit of ((-3)/(-12))/(2/g)?
1
Let c = 20 + -11. What is the units digit of c?
9
Suppose -3*g + o = 1, -4*g + 0*o + 2*o = 4. What is the units digit of g?
1
Suppose 3*g + 14 = -73. Let f = g + 16. Let n = -6 - f. What is the units digit of n?
7
Suppose -4*s - 33 = -5*z, 4*s - 27 = -5*z + 5*s. Suppose z*c + 96 = 8*c. What is the tens digit of c?
3
Suppose 3*x - 7*x + 9 = j, 3*x = 4*j - 17. Let b be 1/(-2)*(-600)/10. Suppose -p + 10 = -j*n + 47, -b = -4*n + p. What is the units digit of n?
7
Let w = -1 + 3. Suppose 3*j = j + w. What is the units digit of j?
1
Suppose -h - 4*q = -244, h - 2*q = -3*h + 976. What is the tens digit of h?
4
Let d be -2 + 4 - 106/(-2). Let o = 9 + -4. Suppose 0*x - d = -o*x. What is the tens digit of x?
1
Suppose 0 = 2*j + y - 126, 87 = 2*j - y - 35. What is the tens digit of j?
6
Let i(z) = z**3 + 7*z**2 + 2*z + 4. Let a be i(-6). Suppose -u - 38 = u. Let l = u + a. What is the units digit of l?
9
Let x(p) = 4*p**3 + p**2 + p - 1. Let c be x(1). Suppose a + 20 = c*a. What is the units digit of a?
5
Let d(v) = -v**3 - 6*v**2 - 6*v - 2. Let r be d(-5). Suppose r = m + 2*u, 36 - 12 = 4*m + 2*u. What is the units digit of m?
7
Let n(r) be the second derivative of r**5/60 - 7*r**4/24 + r**3/3 - 3*r. Let j(k) be the second derivative of n(k). What is the units digit of j(5)?
3
Suppose -11 = -g + 30. What is the units digit of g?
1
Let p be (-3)/(-6)*(-1 + 3). Suppose 2*q = q + p. What is the units digit of q?
1
Let t(p) = -p**2 - p - 1. Let n be t(-1). Let q(o) = 15*o**2 + o. What is the units digit of q(n)?
4
Suppose 0 = -x - 0*p - 2*p + 8, 4*x = -3*p + 32. Let s be (3*-5)/3*1. Let t = s + x. What is the units digit of t?
3
Suppose 2*j - 4 + 0 = 0. Let k = j + -10. What is the units digit of ((-6)/k)/(7/84)?
9
What is the tens digit of (-627)/(-6) - (-18)/(-12)*-1?
0
Let b(s) = 4*s**3 + 5*s**2 + 6. Let g(x) = -7*x**3 - 9*x**2 + x - 11. Let a(r) = -5*b(r) - 3*g(r). What is the units digit of a(3)?
9
Suppose -2*b = -0*b - 8. Suppose b*m = m + 69. What is the tens digit of m?
2
Let x(f) = f**2 + 5*f - 7. What is the units digit of x(-8)?
7
Suppose 0 = 2*r - 3*r + 2. Suppose 2*q + 2*u + 10 = 4*u, r*q + 9 = 3*u. What is the units digit of (-3 - q) + -3 + 2?
2
Suppose -5*v = -w - 23 - 0, 0 = 5*w - 10. Suppose -4*z + v + 23 = 0. What is the units digit of z?
7
What is the tens digit of (-36)/8*28/(-3)?
4
Let r = -8 - -10. Suppose 3 + r = t, 2*t = 2*p - 16. What is the units digit of p?
3
Let w = 76 - 44. What is the units digit of w?
2
Let i(o) = -o**3 - 4*o**2 - o - 1. Let g be i(-4). Suppose 2 = -2*f + g*f. What is the units digit of f?
2
Suppose 2*m - 54 = -4*v - 22, -2*v + m + 24 = 0. Suppose -2*g + 21 = -0*h + h, -2*h = -v. What is the units digit of g?
8
Let a be 0 + (-2)/2 + 10. Let r be a*2 + (-4 - -5). Suppose -4*l + 1 + r = 0. What is the units digit of l?
5
Suppose 0 = -4*y + 10*y - 420. What is the tens digit of y?
7
Let i be 9/(-2)*(-4)/3. Suppose -2 = c, i*u - u - 4*c - 13 = 0. What is the units digit of u?
1
Suppose 3*m = 2*d - 5, 5*m - d + 3 = -17. Let v = 1 - m. What is the units digit of v?
6
Let j(i) = i**2 - i. Let d(t) = 7*t**2 - 12*t + 1. Let v(h) = d(h) - 6*j(h). Let a be v(5). Let w = a - -9. What is the units digit of w?
5
Suppose 0 = 4*t - 4*k, 3*t - k = -2*t. Let c = 3 - t. What is the units digit of (11 - 1)/(-1 + c)?
5
Suppose 0 = a + 2*a + 5*i - 1, 16 = -4*a + 2*i. Let x be ((-4)/(-3))/(a/(-9)). Let n(q) = q**3 - 5*q**2 + 4*q + 3. What is the units digit of n(x)?
3
Let m be (-2)/1 + (-1 - -7). Let p = -2 + m. What is the units digit of p?
2
Suppose 3*k = 20 + 16. Let w = -38 - -38. Suppose w = 2*t - 6 - k. What is the units digit of t?
9
What is the tens digit of 0 - (38/(-1) + -2)?
4
Suppose -3*x - 305 = -8*x. Suppose -7*s + x = -2*s - o, 0 = -5*s - o + 69. What is the tens digit of s?
1
Let u = -8 - -12. Suppose -3*g + 3 + 5 = 4*x, -2*g = -u*x + 28. Let s = 20 - x. What is the tens digit of s?
1
What is the tens digit of 9 + 4/(-1) + 177?
8
Let m(p) = -2*p**2 - 4*p + 4. Let f(l) = -l**2 - 5*l + 5. Let g(x) = 5*f(x) - 6*m(x). Let q(v) = 3*v + 1. Let r be q(0). What is the units digit of g(r)?
7
Let b(t) = 2*t**2 - 12*t - 27. What is the hundreds digit of b(-8)?
1
Suppose -d + 22 = -86. What is the tens digit of d?
0
Suppose 2*a = 12*a - 140. What is the tens digit of a?
1
What is the tens digit of 1 - (-1674)/15 - (-12)/(-20)?
1
Let d(k) = k**3 - 2*k**2 - k + 3. What is the units digit of d(3)?
9
Let a be (-8)/(-12)*-12 + 3. Let y(n) = -4*n - 1. What is the units digit of y(a)?
9
Let m(a) be the first derivative of -2*a + 2*a**2 + 3 + 0 - 2. What is the tens digit of m(3)?
1
Suppose -20*c = -7316 - 4. What is the units digit of c?
6
Suppose -2*p + 4*p = 18. Suppose -5*i - 1 = p. What is the units digit of (5/i)/((-1)/2)?
5
Let c = -9 - -47. What is the tens digit of c?
3
Let p be (-6)/4*(-16)/12. Suppose 0 = -p*r + 2, -t + 2*r = -3*t + 6. Let u = 10 - t. What is the units digit of u?
8
Suppose 2*p - 140 = 2*i, 4*p = 6*p + 4*i - 158. What is the tens digit of p?
7
Suppose 0 = -2*m + 14 - 2. Suppose 0 = -4*z + m*z + 4. Let a(l) = l**2 - 2*l - 3. What is the units digit of a(z)?
5
Suppose 2 = 5*s + 12. Let w be ((-3)/s)/((-12)/(-32)). Let j = w + 2. What is the units digit of j?
6
Suppose -3*g - 30 = 6. Let h = -7 - g. What is the units digit of h?
5
Suppose 6*i = i + u + 9, 15 = 3*i - 3*u. What is the units digit of i?
1
Suppose 4*b = 261 + 323. What is the units digit of b?
6
Suppose -34 = -5*a + 2*t, 0*a + 4*t - 16 = -4*a. Let v = -3 + a. What is the units digit of v?
3
Let w = 12 + -7. What is the units digit of 91/w - (-4)/(-20)?
8
Suppose 61 = 4*a + 17. What is the tens digit of a?
1
Let n be 2/((-3 - -6)/48). Suppose 4*k - 48 = -2*i, -k - n = -3*i + 33. What is the tens digit of 