
5
Let y = 12 - 17. Let u = -3 - y. What is the units digit of (-21)/(-12) - u/(-8)?
2
Suppose -9*c - 68 = -13*c. What is the units digit of c?
7
Let n(d) = -d**2 - 11*d - 4. Let y be n(-7). Suppose -s - 2*s + y = 0. What is the units digit of s?
8
Let r be (-3 + 7/3)*3. What is the tens digit of -26*(-3)/(-12)*r?
1
What is the units digit of (-24)/9*(-45)/6?
0
Let v = 18 - 3. Let t = 29 - v. What is the units digit of t?
4
Suppose -219 = -5*i + 46. What is the units digit of i?
3
Let z(t) be the third derivative of t**5/30 + 5*t**4/24 - t**3/2 + 3*t**2. What is the units digit of z(-4)?
9
What is the units digit of (8 + -1)*(-2)/(-7)?
2
Let j(r) = -r. Let d be j(-3). Suppose 0 = d*p - 27 - 12. Suppose 4*i - p = -1. What is the units digit of i?
3
Let r(s) = s**3 - 6*s**2 + 3*s - 13. What is the units digit of r(6)?
5
Suppose -s - 130 = -4*z - 2*s, 86 = 3*z - 5*s. What is the units digit of z?
2
Suppose r + 3 = 0, r = 3*n + 2*r - 12. Suppose n*a = 4*a + 5. Suppose -4*w = -c - 31, -a*w + c = -0*w - 38. What is the units digit of w?
7
Let x(y) = -3*y**3 - 8*y**2 - 3*y + 4. What is the hundreds digit of x(-5)?
1
Suppose 2*b + 3*q = 2*q + 55, -b + 28 = q. What is the tens digit of b?
2
Let w(j) = j**3 - 5*j**2 - 9*j - 4. What is the units digit of w(7)?
1
Let d(k) = -k**3 + 6*k**2 - 4*k + 6. Suppose 3*g - g = 10. What is the units digit of d(g)?
1
Let y = -20 + 34. What is the units digit of y?
4
Let y(q) = 2*q - 1. Let t = 3 + -2. What is the units digit of y(t)?
1
What is the units digit of (161 + -167)/(2/(2*-32))?
2
Suppose 0 = -8*m + 3*m + 10. Suppose -4*r = -m*i + 10, -2*i + 3*i + 5*r - 5 = 0. What is the units digit of i?
5
Suppose 3*n - 4*n = 0. Suppose -r - 2*r + 3 = n. What is the units digit of r?
1
Let o(c) = 38*c**2 - c - 1. Let m be o(-1). Suppose -s + m = s. What is the units digit of s?
9
What is the tens digit of (-748)/(-10) + (-4)/(-20)?
7
Let k(d) = -24*d - 30. What is the tens digit of k(-5)?
9
Let q(p) be the second derivative of -p**5/20 - p**4/2 + p**3/6 + p**2 + p. Let k be q(-6). What is the units digit of (-16)/(-6) + k/(-12)?
3
Let a = 82 + -35. What is the units digit of a?
7
Let d be (-160)/(-28) + (-4)/(-14). What is the tens digit of 26/(-6)*d/(-2)?
1
Let n = 27 - 16. What is the units digit of n?
1
Let k = -6 + 11. Suppose 3*u - 22 - 70 = p, 152 = k*u - p. What is the units digit of u?
0
Let u = -8 - -53. Suppose -g + u = 4*g. What is the units digit of g?
9
Let n be (-1 - (-2 - 1)) + 2. Let o(b) = b**3 - 5*b**2 + 5*b + 1. Let a be o(n). Suppose 6*d - 2*d - 43 = -s, -3*s - 75 = -a*d. What is the units digit of d?
2
Suppose g = -0*t - 3*t + 9, -8 = 3*g + 2*t. What is the units digit of (-69)/g + 4/8?
2
Let j(y) = 5*y - 2. Suppose 5 = 4*r - 4*t - 19, 8 = 2*r - t. What is the units digit of j(r)?
8
Let u = -7 + -5. Let g = 29 + u. What is the tens digit of g?
1
What is the units digit of 3 + 12/(-4) - -29?
9
Let v = 47 - 39. What is the units digit of v?
8
Suppose -5*f - 6 = -3*f. Let l = 8 + f. What is the units digit of l?
5
Let a(x) = x**3 + 8*x**2 - 6*x + 6. What is the tens digit of a(-7)?
9
Let o(z) = 4*z - 4. Let g be o(6). What is the units digit of 2*(-2 + 3) + g?
2
Suppose 396 = 4*n - 348. What is the units digit of n?
6
Suppose 0 = 2*m + 4, -61 = -s + 3*m + 2*m. What is the units digit of s?
1
Let r(y) = y**2 - 13*y - 45. What is the tens digit of r(20)?
9
Let h = 13 + -23. Let p be ((-2)/(-5))/(1/45). Let b = p + h. What is the units digit of b?
8
Let l(t) = -t**2 - 6*t - 2. Let q be l(-7). Let p be (102/q*-6)/2. Let n = p - 20. What is the tens digit of n?
1
Let x = -2 + 5. What is the units digit of 2 + 0*1/x?
2
Let y be (0*(-2)/(-6))/2. Suppose -5 = -q + o, -4*q - 3*o - 3 - 12 = y. Suppose 0 = 4*x - 2*r - 21 - 15, -5*x - r + 38 = q. What is the units digit of x?
8
Let o = -9 - -15. What is the units digit of (-6)/((-3)/o*4)?
3
Suppose 5*h - 35 - 5 = 0. What is the tens digit of ((-44)/h)/(2/(-4))?
1
Let y(k) = k**3 + 7*k**2 - 7*k + 3. Let s be y(-8). Let b(j) = -j**2 - 7*j + 1. What is the tens digit of b(s)?
1
Let q(w) = 3*w**3 - w**2 + w - 2. Suppose 0*u + 2 = u. What is the tens digit of q(u)?
2
Let r = -24 - -12. What is the units digit of r/27*-6*3?
8
Suppose 3*t + 219 = 6*t + 5*c, -2*c + 142 = 2*t. Suppose 5*x - t = -13. Let l = x - 0. What is the tens digit of l?
1
Let c = -29 + 47. Let o be c/(-4)*6/(-9). Suppose -o*a + 2 = -3*f + f, -18 = -2*f - 2*a. What is the units digit of f?
5
Let p(l) be the first derivative of -l**2/2 - 5*l + 2. Let u = 5 - 12. What is the units digit of p(u)?
2
What is the units digit of ((-16)/12 + 1)*-57?
9
Let g be 5*(26/(-10) - -2). What is the units digit of 42/18 - (-1)/g?
2
Suppose -5*m + 4*n = -0*m - 143, 0 = -4*m + 3*n + 114. What is the units digit of m?
7
Let t = 45 - 30. Let n = 23 - t. What is the units digit of n?
8
Suppose 0 = 3*n - 182 - 130. What is the tens digit of n?
0
Let f = -99 + 153. Let v = f - 31. Let c = v - 14. What is the units digit of c?
9
Let d(i) = 11*i**3 + 3*i**2 - 4*i + 2. What is the tens digit of d(2)?
9
Suppose -m + 4*x - 33 = 0, m - 5*x + 15 + 22 = 0. Suppose -5*s = -5*g - 140, -2*g - s - 74 + 12 = 0. Let z = m - g. What is the units digit of z?
3
Let j = 12 - 11. What is the units digit of (143/33)/(j/3)?
3
Suppose -3*y - 14 = 1, 0 = -3*j - 4*y + 40. Suppose -20 = -4*l - 5*d, -6*l = -3*l + 5*d - j. Suppose l = 5*u - 40. What is the units digit of u?
8
Let g(d) = -d**3 + 5*d**2 - d + 4. What is the units digit of g(4)?
6
Suppose 3*p = -2*p - 25, p - 50 = 5*q. Let l be (4 - q)*(-1)/(-3). Suppose 4*j = 2*j + l*z - 13, -2*j + 14 = 4*z. What is the units digit of j?
1
Suppose -4*c + 382 = 2*m, 5*c - 409 - 82 = 2*m. What is the units digit of c?
7
Let b = -134 + 194. What is the units digit of b?
0
Suppose -2 = -v + 5*h, 2 = v + 4*h - 0. Let c(r) = 10*r - 3. What is the tens digit of c(v)?
1
Let x be (-4)/14 - 14/(-49). Suppose 4*n + 20 = u - 11, -3*u - 5*n + 76 = x. What is the tens digit of u?
2
Suppose v + 4*v - a = 3, 2*a + 6 = 2*v. Let d(o) = -o + 14. What is the tens digit of d(v)?
1
Suppose -3*x = c - 182, 46 = -x + 2*x + 4*c. Suppose -t = t - x. Suppose 3*h - t = -7. What is the units digit of h?
8
Let c be (0 - (1 + -1)) + 5. Let x(q) = -q**2 + 7 - 4 + 2*q + 0 + 3*q. What is the units digit of x(c)?
3
Let c(p) = 6*p + 4. Let y be c(9). Let u = -41 + y. Let x = u - 9. What is the units digit of x?
8
Let s be 4/(-6) + 25/15. Let g = s - -7. Suppose k + w - g = 0, -3*w = -4*k - 10 + 35. What is the units digit of k?
7
Let y(s) = s**2 - 5*s - 1. Let m be y(5). What is the units digit of 5 + (-2 + 4)*m?
3
Let l(m) = -m**3 + 6*m**2 - 4*m + 1. What is the tens digit of l(4)?
1
Suppose -3*m + f + 178 = 0, 0*m + 5*f - 190 = -3*m. What is the units digit of m?
0
Suppose 6*t - 20 = 2*t. Suppose t*j = -n - n - 19, -n - 4*j - 17 = 0. What is the units digit of n?
3
Let m = -10 + 14. Let p = m + 1. Suppose p*q - l = 68, 3*q + l - 2*l = 42. What is the tens digit of q?
1
Suppose 6*y - 3*y = 0. Suppose -t + 40 = 2*a - y*a, -2*a = 5*t - 208. What is the tens digit of t?
4
Suppose 0 = 8*q - 12*q + 992. What is the hundreds digit of q?
2
Suppose 4*d - 1 = 7. Suppose d*u + w = -w, 6 = u - 2*w. Suppose 12 + 8 = u*f. What is the units digit of f?
0
Let j(v) = -v**2 + 3*v + 3. Let a(k) = 5*k**2 + k + 1. Let p be a(-1). Let h be j(p). Let w = -2 - h. What is the units digit of w?
5
Let d = 202 + 26. What is the hundreds digit of d?
2
Let v = -1 - -2. Let p = 2 + v. Suppose p*h - 30 = -0*h. What is the tens digit of h?
1
What is the tens digit of 52052/220 + 4/10?
3
Suppose -2*w - l + 556 = 2*w, 12 = -3*l. What is the units digit of w?
0
Let w = -155 + 89. What is the tens digit of (-8)/(-12)*w/(-4)?
1
Let i(t) = -3*t**3 + t**2 - 2*t + 1. Let h be i(1). Let p be 0 - ((h - -1) + -3). Suppose -3*z + 2 = 2*q - 6, 3*q = -p*z + 13. What is the units digit of q?
1
Let l(g) = -g + 19. Let k be l(6). Let d = 29 - k. What is the units digit of d?
6
Let f be 1*4 + -2 + 1. Suppose 0 = 5*b + 5*m + 3 + 7, -4*b + f*m = -6. Suppose b = v - 0*v - 9. What is the units digit of v?
9
Let r be ((-1)/(-3))/((-6)/(-54)). Let s be r - 1/(3/(-651)). What is the units digit of s/18 + 2/(-9)?
2
Let l = -10 - -13. Suppose -l*a + 93 = 12. What is the units digit of a?
7
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