?
1
Let s = -4 + 7. Suppose o - 37 = -s*d, -2*o + 0*d = 2*d - 54. What is the tens digit of o?
2
Let u(a) = a**3 - 4*a**2 + 3*a - 4. Let f be 7 + (-3 - -2) - 2. What is the units digit of u(f)?
8
Let n be (-4 + (-34)/(-7))*28. Suppose -2*q + s = -q - n, -2*q + s = -52. What is the tens digit of q?
2
Suppose -2*h = d - 0*h + 1, 2*d - 10 = -h. Let g = d + 4. What is the units digit of g?
1
Suppose -25*f = -21*f - 148. What is the tens digit of f?
3
Suppose -5*s = -20, 76 = -3*y - 0*y + 4*s. Let b = y - -34. What is the units digit of b?
4
Suppose f = 2*f - 8. Suppose 0 = 2*m - 0*m - f. Suppose -m*u = 8, u - 3 - 31 = -4*z. What is the units digit of z?
9
Let h(d) = 3*d**2 - 4*d - 2. Let o(x) be the first derivative of -7*x**3/3 + 4*x**2 + 4*x + 2. Let q(m) = -5*h(m) - 2*o(m). What is the units digit of q(3)?
5
Let v(k) be the first derivative of -5*k**4/2 - 1. Suppose -13*c + 18*c + 5 = 0. What is the units digit of v(c)?
0
Let x = 21 - 8. Let q = 18 - x. What is the units digit of q?
5
Let b(m) = m**3 - 6*m**2 - 7*m + 4. Suppose -4*t = x - 29, -3*x + 24 = 5*t - 2*t. Let y be b(t). Suppose 70 = y*h + h. What is the units digit of h?
4
Let q be (-2)/(2/(-3)) + -2. What is the units digit of q/(-2) - 63/(-14)?
4
Suppose 680 = -6*t + 11*t. What is the tens digit of t?
3
Let j = -144 + 170. What is the units digit of j?
6
Let r(d) = d**3 - 5*d**2 + d + 4. Let c be r(3). Let s = 7 - c. What is the tens digit of s?
1
Let l = 208 + -146. Suppose -8*o + 59 = -3*o - 2*x, 5*o - x = l. What is the tens digit of o?
1
Let u(h) be the second derivative of -1/2*h**2 + 2*h - h**3 + 0. What is the tens digit of u(-3)?
1
Suppose -5*y + k = -33, 5*y - 3*k = k + 42. Suppose 4*t + 4 = y*t. Suppose 3*o = -2*u + 22, -o + 19 = t*o + 5*u. What is the units digit of o?
8
Suppose -2*m - 8 = -4*u, 5*m - 4*u + 0 = -2. What is the units digit of m/(-5) - 171/(-15)?
1
Suppose 7*z - 10*z + 306 = 0. What is the hundreds digit of z?
1
Let d(l) = -l**2 - 4*l - 1. Let n be d(-3). Suppose -4*i - 4*x = -n*x + 100, 5*i + 122 = -x. What is the units digit of 2/((i/21)/(-4))?
7
Suppose -2*u - u = 4*k - 44, -5*k - 100 = -4*u. Suppose 21 = 5*a - 3*d, 5*a + d - 53 = -u. What is the units digit of a?
6
Let r be 1 + (-1 + -117)/(-2). Suppose -5*b - r = 2*u, -5*b - 95 = 6*u - 3*u. What is the units digit of 2*(u/(-2))/5?
7
Let i be 1/((-15)/9 - -2). What is the units digit of i/(-6) - (-19)/2?
9
Suppose 3*t = -2*i - 8, -t - i - 7 = 4*i. What is the tens digit of 4/(-8)*(t - 58)?
3
Suppose -2*r + g - 24 = 0, -3*r = 2*g - 6*g + 26. Let f = r - -46. Suppose 3*o + o = f. What is the units digit of o?
8
Let n be (-6)/(-24) - (-7)/4. Suppose -5*v = -4*j - 17, 0*v = -n*j + 5*v - 21. What is the units digit of j?
2
Let l = 71 - -137. What is the units digit of l?
8
Suppose -a = -3*a + 66. What is the units digit of a?
3
What is the tens digit of (-1 - (2 + -1)*-23) + -2?
2
Let k(v) = -v**2 + 8*v + 3. Suppose 0 = 2*b - 28 - 0. Suppose b + 10 = 3*z. What is the units digit of k(z)?
3
Let c(q) = q + 5. What is the units digit of c(15)?
0
Let p be 5/((1 - -3) + -3). Let t(g) = 6*g**3 - g**2 + 2*g - 2. Let a(x) = -5*x**3 - 2*x + 1. Let u(z) = p*a(z) + 4*t(z). What is the units digit of u(-4)?
5
Let w(s) = -5*s + 5. Let p(n) = -51*n + 51. Let t(i) = 2*p(i) - 21*w(i). What is the units digit of t(4)?
9
Let x(m) = -7*m**2 + m - 2. Let o(j) = j - 1. Let r(i) = o(i) - x(i). Suppose -4*s = -4*v, 1 = -3*s + 4*s. What is the units digit of r(v)?
8
Suppose 18*c - 22*c = -68. What is the units digit of c?
7
Let j = -18 - -34. Let u = j + 3. Suppose -4*x = 4*i + x - 22, 0 = -3*i - 5*x + u. What is the units digit of i?
3
Suppose -3*d - 53 = -2*m, -5*m - 5*d + 20 = -50. What is the tens digit of m?
1
Suppose -1 + 13 = -2*a. Let n(d) = -3*d + 5. What is the tens digit of n(a)?
2
Let m(o) = 2*o**2 - 2*o - 11. What is the hundreds digit of m(-8)?
1
Let k(n) = n**2 - 8*n + 3. Let s be k(8). Suppose -34 - 17 = -s*w. What is the tens digit of w?
1
Suppose 2*m + 1 - 9 = 0. Let u be m/((-2)/2*-2). Suppose 0 = 2*r - u*z - 10 - 4, 3*r + 5*z = 21. What is the units digit of r?
7
Suppose -4*t - 2*o = 0, t + 4*o = 3*o - 1. What is the units digit of (-10)/(-6)*t*9?
5
Suppose i + 0*i - 13 = 0. What is the units digit of i?
3
Let a be (12/15)/((-3)/(-60)). Suppose -2*h - z + 0*z = -60, 3*z - 90 = -3*h. Let p = h - a. What is the units digit of p?
4
Let l = -7 - -12. Suppose -6 = l*y + 4. What is the units digit of (33/(-2))/3*y?
1
Suppose 2*t = -g + 21, -4*g + 15 = 3*t - 9. What is the tens digit of t?
1
Suppose 6*s = 2*s + 88. What is the units digit of -1 + (s - 0/1)?
1
Let f(u) = -8*u + 5. Let c be f(-5). What is the tens digit of (-5)/20 - c/(-4)?
1
Suppose -3 = -3*n + 3. Suppose 5*c + 2*q - 224 = 0, c - 3 = n*q + 37. What is the tens digit of c?
4
Suppose 2 = w + l, -23 = -2*w + 5*l + 2. Suppose r = -8*a + 4*a - 26, w*r - 3 = -a. Let o = 15 + a. What is the units digit of o?
8
Let p(k) = -k**3 - 6*k**2 - 7*k + 13. What is the tens digit of p(-7)?
1
Let a = -439 - -639. What is the units digit of a?
0
Suppose m - p - 63 = 0, 3 = 3*p - 9. What is the tens digit of m?
6
Let j be 8/12*(-18)/(-4). What is the units digit of 42/j - (2 - -1)?
1
Let m(r) = -4*r + 9. Let q(u) = 8*u - 18. Let t(w) = -7*m(w) - 3*q(w). What is the tens digit of t(10)?
3
Let v(i) = -i**3 - 5*i**2 + 4*i + 9. Let l be v(-6). Suppose 0 = 5*w - l - 4. What is the units digit of w?
5
Let j(q) = 5*q + q**3 - 4*q - q**2 - 6*q**2 + 6. What is the units digit of j(7)?
3
Suppose -7*j + 346 = -270. What is the tens digit of j?
8
Suppose 2 = -d + 30. What is the tens digit of d?
2
Let r(h) = 4*h**2 - 12*h. Let q be r(6). Suppose 3*o - q = o. What is the units digit of o?
6
Let h = -6 - -10. Suppose -h*n = p - 0*p - 4, 2*p - 5*n = 47. What is the tens digit of p?
1
What is the tens digit of (-1 + 21)/4*(-196)/(-10)?
9
Let m be (3 + 0)*(9 + 2). Let r = m - 2. What is the tens digit of r?
3
Let f(j) = -j**2 - 8*j - 3. Let b be f(-8). Let m be (2 + b)/((-2)/(-6)). What is the units digit of (m/(-6) - 2)*-2?
3
Suppose -8*o = -4*o - 112. Let y = -16 + o. What is the tens digit of y?
1
Suppose 0*c = 3*c - 156. What is the units digit of c?
2
Let c be (-11)/55 - (-131)/5. What is the units digit of (c/3)/(6/9)?
3
Let m(f) = 77*f**3 + f**2 - 1. What is the units digit of m(1)?
7
Let s = -7 - -10. Let i = s - 1. What is the units digit of i?
2
Suppose 6*b = 2*b + 48. Let l be (-3)/(-2)*b/9. Let y = l - 1. What is the units digit of y?
1
Suppose 8 = -3*y + 101. What is the tens digit of y?
3
Suppose 9 = 6*p - 3*p. Suppose -134 = -p*d + 4*f, -d + 6*d - 185 = -f. What is the units digit of d?
8
Suppose 0 = m + 5*j + 13, m - j - 2*j - 11 = 0. Suppose 2 = m*h - 2. Let z(c) = 3*c**3 - 3*c**2 + 2*c - 2. What is the units digit of z(h)?
4
Suppose 3*y - 55 = 5*y - 5*c, -5*c + 100 = -5*y. Let d = -5 - y. What is the units digit of d?
0
Let a(d) be the third derivative of -d**4/12 - d**3 - 2*d**2. Let j be a(-6). What is the tens digit of (3 - 6)*(-20)/j?
1
Suppose 2*l - 3*h - 194 = -2*l, -243 = -5*l + 4*h. Let m = l + -25. What is the units digit of m?
2
Let j be (-2 - -1) + (-15)/(-3). Suppose 0*m - 120 = -j*m. What is the units digit of m?
0
Suppose -2*y + 5 = 3*p - 0, y + p = 0. Let m(q) = 7*q**2 + 1 - 6*q**2 + 0 - 4. What is the tens digit of m(y)?
2
Suppose -n + 2*c = 4*c - 12, 3*n = -3*c + 42. Suppose -66 = 5*j - n. Let k = j - -18. What is the units digit of k?
8
Suppose 0*f = -f - 35. Suppose -4*x + 205 = -p, -5*x + 4*p + 12 + 247 = 0. Let w = x + f. What is the units digit of w?
6
Let m(v) = v**2 - v - 1. Let g be m(2). Let c be g + (-3)/(2 - -1). Suppose -3*x + 9 = -k - 7, 3*x - 2*k - 14 = c. What is the units digit of x?
6
Suppose -4*g - 5*y + 484 = -0*y, -3*g + 363 = 3*y. What is the tens digit of g?
2
Let g = 0 - -3. Suppose 3*v - 8 - 2 = -5*l, 3*v - 2 = -l. What is the units digit of (g - 1) + l + 0?
4
Let p(k) = 4*k + 3. Let o be p(-8). Let r = 19 - o. What is the tens digit of r?
4
Let i(m) = -11*m - 1. Let d = 11 - 12. What is the units digit of i(d)?
0
Let f(y) = 4*y**2 - 7*y**2 + 5*y**2 - 5*y. What is the tens digit of f(5)?
2
Let y = -374 - -554. What is the tens digit of y?
8
Let t(b) = b**2 - 4*b. Let d be t(3). Let u = -1 - d. What is the units digit of u?
2
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