- 50 = -0*n + 2*n, -5*f - 4*n = -43. Let s = f - 5. What is the units digit of s?
6
Suppose 4*a - 12 = -0*a. Let z(f) = -f**3 + 4*f**2 + 3. What is the units digit of z(a)?
2
Let y be (-2 + 9/6)*12. Let p be (2 - 7)*y/10. Suppose -r + p = -2*z + 5, 4*z + 4*r = 16. What is the units digit of z?
2
Let q(v) = v. Let z be 4*(-2 + 5/2). Suppose -5 = -m - 3*g + 6, -z*g = -4*m + 2. What is the units digit of q(m)?
2
Let r(j) = -j**2 - 7*j - 6. Let z be r(-6). Suppose z*x + 66 = 3*x. What is the tens digit of x?
2
Let n = -11 - -10. What is the tens digit of (28/(-8))/(n/14)?
4
Suppose -16 = 4*c, 3*g - 2*c = -0*c + 23. Suppose -g - 5 = -a. Suppose 2*w = -2*z + 30, 0 = -4*w - a + 30. What is the tens digit of z?
1
Let n = 108 - 69. Suppose -3*g = -24 - n. What is the units digit of g?
1
Suppose 0 = -4*g - 0*g - 4*l + 1016, 730 = 3*g - 5*l. What is the units digit of g?
0
Suppose 0*k + 10 = -5*k + 5*n, -5*k - 5*n = -20. Let g be k*(0 + -1) + 3. Suppose -26 = -2*o + g*l, -4*o + 9*o + 2*l - 30 = 0. What is the units digit of o?
8
Let q(l) = 4*l**3 - 18*l**2 - 13 - l - 5*l**3 + 9*l**2. Let y be q(-9). What is the units digit of (-1 - -3)/(y/(-22))?
1
Let i = 442 - 210. What is the hundreds digit of i?
2
Let f = -507 - -743. What is the hundreds digit of f?
2
Let c(o) = 17*o - 47. What is the hundreds digit of c(9)?
1
Let d(p) = 16*p**2 + 9*p + 15. What is the units digit of d(-4)?
5
Suppose -3*k + 4*k = -y + 50, 3*y - 4*k - 157 = 0. What is the tens digit of y?
5
Suppose 7 = 4*k - 5. Let c = k - 0. What is the units digit of c?
3
Let g = 18 - 4. Suppose 4*s = -0*s + k + 28, k = -3*s + g. What is the units digit of s?
6
Let a(d) = d**2 + 2*d - 1. Let r(n) = -3*n**2 - 5*n + 2. Let w(y) = -8*a(y) - 3*r(y). Let h be w(-4). Suppose 0 = 5*z - h - 13. What is the units digit of z?
7
Let o = 30 - 9. Suppose -4*c = -77 + o. What is the tens digit of c?
1
Let p(d) = d**3 - 21*d**2 + 28*d - 23. What is the tens digit of p(20)?
3
Let p(z) = -4*z**2 + z**2 + 4*z**2 + 3 - 5*z. Let c be p(4). What is the units digit of ((-3)/(-9))/(c/(-3))?
1
Suppose 3*w - k - 220 = w, -3*k - 105 = -w. What is the hundreds digit of w?
1
Suppose -10 = 2*v, 2*v + 204 = 2*u - 2*v. What is the units digit of u?
2
Let i(y) = -y - 1. Let s be i(-3). What is the tens digit of 518/13 + s/13?
4
Let m = 12 + -8. Let f(h) = h**3 - 3*h**2 - h + 3. Let q be f(m). Suppose 0 = -4*r + 25 + q. What is the units digit of r?
0
Let g(n) be the second derivative of n**4/6 - n**3/6 - 2*n. Let i be g(-1). Suppose 0 = -6*q + 3*q + 3*m, 8 = -q + i*m. What is the units digit of q?
4
Let o be (20/35)/(2/7). What is the tens digit of 2 - -8 - (-8)/o?
1
Let o be 9/2*1184/24. Suppose y = -c + 33, o = 4*c - 5*y + 54. What is the tens digit of c?
3
Suppose 0 = -3*l - 0 - 6. Let d = l + -1. What is the units digit of 1 + -1 - (-9 - d)?
6
Suppose -23*o - 108 = -32*o. What is the tens digit of o?
1
Let z(g) be the third derivative of g**4/24 - g**3/3 + 3*g**2. What is the units digit of z(3)?
1
Let i(n) = 9 + n + 0*n + 0*n - 2*n. What is the units digit of i(-11)?
0
Suppose 17 = m + 5*v + 3, 0 = -m - v + 6. Suppose m*u = 3*u + 6. What is the units digit of u?
6
Let h(b) = -b**2 + 4*b + 1. Let q(d) = 2*d**2 - d + 2. Let i be q(2). Let l(m) = m**2 - 8*m + 4. Let r be l(i). What is the units digit of h(r)?
1
Suppose 131 = 5*m - 109. What is the tens digit of m?
4
Let q be 0/(-2) - (-4 + 1). What is the units digit of 12 - 3/9*q?
1
Suppose -r + h = 12, 3*r + 2*h + 23 = 7. Let w be 90/4*(-16)/(-20). Let j = w + r. What is the units digit of j?
0
Let k(w) = w**3 - 4*w**2 + 2*w + 4. Let b be k(5). Suppose b + 54 = -3*z. Let y = 46 + z. What is the units digit of y?
5
Suppose -2*q = -16 - 34. Let i = q - 16. What is the units digit of i?
9
Let f = -43 - -29. Let i = 3 + -26. Let h = f - i. What is the units digit of h?
9
Let h be 30/4*4/3. Let u = h - 4. What is the units digit of u?
6
What is the tens digit of (2 - 1*(-111)/1) + 2?
1
Let y(p) = -p. Suppose 2*i - 4 = 2*x, -4*x - i - 3 - 15 = 0. What is the units digit of y(x)?
4
Let a be (-273)/28 + (-3)/(-4). Let j = a + 15. What is the units digit of j?
6
Let t(w) = w**2 - w + 2. Suppose 0 = -3*g + 2*v - 1, 0 = g + 4*g + 3*v - 30. What is the units digit of t(g)?
8
Suppose -7*m = 216 - 2288. What is the hundreds digit of m?
2
Suppose -4*m + 4*s + 22 + 86 = 0, -4*m - 2*s + 108 = 0. Suppose l + 4 - m = 0. What is the tens digit of l?
2
Let b = 1238 - -46. What is the tens digit of b/48 - (-2)/8?
2
Let s(i) = -i**3 - 5*i**2 + i + 6. What is the units digit of s(-5)?
1
Let r = 192 + -31. What is the units digit of r?
1
Let d = 10 + -6. Let m = -5 + d. What is the units digit of 3/(15/6 + m)?
2
Suppose -2*a + 15 = a. Suppose 3*h + 2*h - 27 = -l, -a*l = -3*h + 5. Suppose l*s + 3 = -z, 2*s + 2*z + 8 = -0*z. What is the units digit of s?
1
Let k = 11 - 8. Suppose k = o - 10. What is the units digit of o?
3
Let j = -4 - -3. Let w be -2 + (0 + j)*-2. Suppose 4*i - 3*d + 11 = w, 0*d = -d + 5. What is the units digit of i?
1
Let w(h) = h**2 + 5*h - 2. Let o be w(-6). Let a = o - -4. What is the units digit of a?
8
Suppose 0 = -5*w + q + q + 446, 4*w + q = 349. Suppose z = -3*z + w. What is the units digit of z?
2
Suppose -f + n + n = 10, 5*n - 5 = 0. Let i(l) = -2*l - 10. What is the units digit of i(f)?
6
Let a be 2/(-8) - 212/(-16). Let l(s) = -s - 2. Let j be l(2). Let b = a + j. What is the units digit of b?
9
What is the units digit of 5/(-20) - (-362)/8?
5
Suppose 4*t - k = -4*k + 183, -k = t - 47. What is the units digit of t?
2
Suppose -m = -3*m + 50. Suppose -4*k + m = -11. What is the units digit of k?
9
Let b = 277 + -53. What is the units digit of b?
4
Let n = 0 - -2. Suppose -n*q = q - 27. Suppose 0 = 4*u - q*u + 30. What is the units digit of u?
6
Let s = 21 + -16. What is the units digit of s?
5
Let j(h) = 2*h - 6. What is the units digit of j(6)?
6
Suppose 0 = 4*r + 4*h + 36, -2*r = -0*r + 4*h + 10. Let g = 40 + r. Suppose -2 = -2*b - 4*d, -b - 4*b + d = -g. What is the units digit of b?
5
Let i(c) = c**2 - 4*c. Let o be i(3). Let d(l) be the first derivative of l**4/4 + 2*l**3/3 - 3*l**2/2 + 2*l + 2. What is the units digit of d(o)?
2
Let j(m) = -m**3 + 6*m**2 + 13*m - 48. What is the units digit of j(6)?
0
Let f(r) be the second derivative of 13*r**4/12 - r**3/2 + r**2/2 + 10*r. What is the units digit of f(1)?
1
Let a be 3/((-10)/(-4) - 1). Let j be 3 - 8/(-12)*9. Suppose j = a*i - 11. What is the tens digit of i?
1
Suppose 3*i = -0*i - 15, -3*i = -5*s + 710. What is the tens digit of s?
3
What is the units digit of 122*6/(-36)*-15?
5
Suppose 0*d + 5*d - 135 = 0. What is the units digit of d?
7
Suppose -5*d + 0*d + 35 = 0. What is the units digit of d?
7
Let g = -4 - -2. Let p = 2 + -9. What is the units digit of g/p + 47/7?
7
Suppose 3*w + 8 = -13. Let v = 15 + w. What is the units digit of v?
8
Suppose -f - 180 = -3*f. What is the tens digit of f?
9
Let w(b) = -b**2 + 8*b. Let q be w(8). Suppose -l + 5*l - 76 = q. Let h = l + -5. What is the tens digit of h?
1
Let x(h) = 4*h - 6. Let p be x(4). Let s = 20 - p. What is the tens digit of s?
1
Let j = 7 - 4. Suppose 0*s - 15 = -j*s. Suppose 0 = -s*b + 4*b + 2. What is the units digit of b?
2
Let q be (-6)/12 + 25/2. Let u = -2 + 5. Suppose -u*w + 7*w = q. What is the units digit of w?
3
Let h(g) = -g**3 - 8*g**2 + 10*g + 7. Let x be h(-9). What is the tens digit of (-111)/x*4/6?
3
Suppose -6 = -t - t. Suppose t*f + 28 = -4*s + 71, 0 = 3*s - 3. What is the units digit of f?
3
Let y(m) = -m + m - 3 - m + 0*m. What is the units digit of y(-11)?
8
Let n(z) = -14*z**3 + 3*z**2 + 3*z - 4. What is the tens digit of n(-2)?
1
Suppose -o - n = -17 + 3, 3*o = 5*n + 26. Suppose -o = -u + 4*x, 3*x = 3 - 0. What is the units digit of u?
6
Suppose 0 = -46*s + 39*s + 2821. What is the hundreds digit of s?
4
Suppose 3*x + 313 = 4*d, d + d = -5*x + 137. What is the units digit of d?
6
Let m(y) be the second derivative of 3*y**5/20 - y**4/12 - y**3/6 - y**2/2 - 2*y. What is the units digit of m(2)?
7
Let k(z) = -z**2 + 4*z. Let v be k(2). Suppose -12 = 5*m - m, v*m = 2*d - 26. What is the units digit of d?
7
Let b = 30 + -28. What is the units digit of b?
2
Suppose d + 2*p = -2*p + 137, 5*d = -p + 704. What is the units digit of d?
1
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