ppose -12*d - p = -13*d. What is the units digit of d?
1
Let z(m) = 9 + 0*m + 2*m**2 - 6*m + 3*m. Let v be z(-7). Suppose 5*d = -4*t + v - 25, 5*t = 5*d - 130. What is the tens digit of d?
2
Let b(w) = -w**3 - 16*w**2 + 10*w + 11. What is the units digit of b(-17)?
0
Let v = 1082 - 452. What is the hundreds digit of v?
6
Let n(m) = 22*m - 46. Let p(a) = -a. Let l(b) = n(b) + 4*p(b). What is the tens digit of l(11)?
5
Suppose 0 = 5*z - 3436 - 1719. What is the thousands digit of z?
1
Let o be ((-85)/20)/((-1)/4). Let s = -18 + o. What is the tens digit of 8/(((-4)/6)/s)?
1
Let a(o) = 53*o + 766. What is the units digit of a(33)?
5
Suppose -2076 = -7*q + 9936. What is the thousands digit of q?
1
Let j(b) be the second derivative of b**4/12 - 4*b**3/3 - 9*b**2 + 11*b. What is the hundreds digit of j(-9)?
1
Suppose -11*d = 86 - 1538. What is the tens digit of d?
3
Suppose 27 = -g + 128. What is the units digit of g?
1
Let f = 1284 - 34. What is the tens digit of f?
5
Suppose -3*x + n = -x + 10, 0 = -5*n + 10. What is the tens digit of 10825/125 + x/(-10)?
8
Suppose 2*q - 2*x - 3*x - 605 = 0, -3*q - 3*x = -855. Suppose 4*n = 10 + q. What is the units digit of n?
5
Let j(f) = f**2 - 6*f - 10. Let m = 13 + -13. Suppose m*u + u = -4*g + 27, 0 = 2*g + 2*u - 6. What is the units digit of j(g)?
6
Let r(a) = 4*a + 2. Let g be r(1). Suppose -3*q + 66 = -g. What is the tens digit of q?
2
Suppose 2*z - 42 = 5*z. Let h be (-808)/z - (-20)/70. What is the tens digit of (-1)/((4/h)/(-2))?
2
Let c = -705 - -945. What is the units digit of c?
0
Suppose 0 = -5*l - 10, 3*l = -2*d - l + 2130. What is the hundreds digit of d?
0
Suppose 21*u - 17*u + 1956 = 4*d, 15 = 3*u. What is the units digit of d?
4
Let r(h) = 2*h**3 - 4*h**2 + 2*h + 2. Let v be r(3). Let f = 106 - v. Let i = 126 - f. What is the tens digit of i?
4
Suppose -7*k + 3164 = 1064. What is the hundreds digit of k?
3
Let i(b) = -b**2 + 8*b + 4. Let c = 5 - 12. Let u = c - -14. What is the tens digit of i(u)?
1
Let i(c) = -2*c - 11. Let r be i(-7). Suppose -2*u + r*u + 2*k - 32 = 0, -u + 3*k = -37. What is the units digit of u?
4
Suppose 0 = -4*b + 2*h - 24, 18 = -3*b - 3*h - 0. What is the units digit of 1 + b/(-3) + -2 + 111?
2
Let i = 275 + -135. Suppose 3*x - 55 = i. What is the tens digit of x?
6
Let k(z) = -33*z - 35. What is the units digit of k(-17)?
6
Suppose -3*k = 4*m - 8, -5*k - 3*m - 6 + 34 = 0. Suppose 3*z = k*z + 4*l - 56, 20 = 5*l. What is the units digit of z?
8
Let o be (-2)/((-6)/243*3). Suppose 2*y - o = -3. What is the units digit of y?
2
Let g(h) = -8*h - 1. Suppose 2 = 2*l - 10. Suppose -2*u + 2 = l. What is the units digit of g(u)?
5
Let i(b) = 3*b + 6 - b**2 - b**3 - 6*b + b + 2*b**3. Let l be i(0). Let t(p) = -p**3 + 7*p**2 - 1. What is the tens digit of t(l)?
3
Let o(m) be the third derivative of m**8/1260 + m**6/720 - m**5/12 + 2*m**2. Let k(w) be the third derivative of o(w). What is the tens digit of k(-1)?
1
Let o be (-3 - (-2)/2) + 37. Suppose 0*v - 5*v = -o. Let h(l) = 3*l - 10. What is the tens digit of h(v)?
1
Let p be 3 - (4/(-1) - 118). Suppose -2*q = -d - 68, -5 = -4*q + 5*d + p. Suppose 7*b = 12*b - q. What is the units digit of b?
7
Let q(b) = 516*b**2 + 3*b + 3. What is the tens digit of q(-3)?
3
Suppose -57*c - 30 = -51*c. Let j(o) be the second derivative of -o**5/20 - o**4/4 + o**3 - o**2/2 - o. What is the units digit of j(c)?
9
Suppose -2*i - 10 = 0, -7*p + 3030 = -2*p - 3*i. What is the hundreds digit of p?
6
Suppose -24956 + 4279 = -23*m. What is the tens digit of m?
9
Let m(d) = d + 11. Let v be 3/(-1) - (1 - 5). Suppose -c - v = -5. What is the units digit of m(c)?
5
Let h(d) = 8 - 27*d**3 + 12*d**2 - d**2 + 28*d**3 - 2 + 4*d. What is the units digit of h(-9)?
2
Suppose 0 = 3*p - 15, l + p - 2 = 10. What is the hundreds digit of -3 + 153 + 7/l?
1
Let d = -35 - -38. Let w(o) = 4*o**2 - 8*o + 7. What is the units digit of w(d)?
9
Suppose 0 = -11*u + 15*u - 20. Let h = 10 - u. Suppose -29 + 19 = -h*b. What is the units digit of b?
2
Let h(a) be the third derivative of -7/60*a**5 + 5/6*a**3 + 0 + 0*a + 1/24*a**4 + 1/120*a**6 - 7*a**2. What is the tens digit of h(7)?
1
Let z = -8671 - -13237. What is the hundreds digit of z?
5
Let g = -83 - -176. Let j = -50 + g. What is the units digit of j?
3
Let k(l) = -13*l - 30. Let a be k(-14). Suppose a = 3*p - 148. What is the units digit of p?
0
Suppose -2*f - 2*f + 2*b + 30 = 0, -b = f - 15. Let t = 86 + f. What is the tens digit of t?
9
Let t(n) = n**3 - 9*n + 115. What is the units digit of t(0)?
5
Let o(g) = g**3 - 7*g**2 + 6*g + 4. Let x be o(6). Suppose -x*k + 46 - 322 = 0. What is the tens digit of 4 + -3 + (0 - k)?
7
Suppose -4*o = -8*o + 2252. What is the units digit of o?
3
Let f(z) = 3*z**3 - 3*z**2 - 14*z + 14. What is the units digit of f(8)?
6
Let i = -66 + 68. Suppose -b - 312 = -4*h + 339, i*b = -2*h + 318. What is the hundreds digit of h?
1
Let j = -558 - -1983. What is the tens digit of j?
2
Let u be (0 - -3)*11/3. Suppose 4*k - u = 9. Suppose 2*n + 4 = h - 9, -k*n - 13 = 4*h. What is the units digit of h?
3
Suppose -1 + 21 = 5*k. What is the tens digit of (-3)/k - (-36)/(-16)*-39?
8
Suppose v - 60 = -3*w + 2*v, 4*w = 4*v + 72. Let i = 501 - 508. Let s = w + i. What is the units digit of s?
4
Suppose 0 = 5*p - 0*m - 4*m - 7, -5*m = 4*p - 22. Suppose 3 = -p*l, 15 = 2*x - 2*l + 5*l. What is the units digit of x?
9
Suppose 3*c - c = -8. Let j(u) = u**3 + 4*u**2 + u + 5. Let l be j(c). Suppose -l = -b + 14. What is the units digit of b?
5
Let h = 9514 + -6054. What is the thousands digit of h?
3
Suppose 6 = 5*u - 4*u. Suppose -2*b - 76 = -u*b. Let a = 6 + b. What is the units digit of a?
5
Suppose -68 = -4*d + 1096. Let i = -130 + d. What is the tens digit of i?
6
Let a = 17 - 15. Suppose n - 180 = -f + a*n, 0 = -f + 4*n + 180. What is the units digit of f?
0
Let k(u) = 230*u + 61. What is the hundreds digit of k(8)?
9
Suppose 0 = 2*g + 2 + 6. What is the units digit of (g/(-12))/(2*1/48)?
8
What is the hundreds digit of 21*(-54)/(-6) + -7?
1
Let n(t) = -7*t**2 - 1. Let m be n(1). Let v be (-45)/(-10) - 4/m. Suppose -v*y = -q + 2*q - 71, 5*y = -2*q + 122. What is the tens digit of q?
5
Suppose 9*a - 16*a = -9639. What is the tens digit of a?
7
Let a be (-3 - -263) + (-2 + 2 - 2). Let p = a + -131. What is the hundreds digit of p?
1
Suppose 5*p - 5 = 0, d + 2*d + 59 = 2*p. Let o = d - -14. Let u(f) = f + 11. What is the units digit of u(o)?
6
Suppose 2*i - 58 = 228. Suppose 2*o + i = 535. What is the tens digit of o?
9
Let n = 18 + -23. Let m(y) = 2*y**3 + 5*y**2 - 3*y + 4. Let t be m(n). What is the tens digit of t/(-10) + (-12)/20?
1
Let b(r) = -1627*r - 174. What is the thousands digit of b(-3)?
4
Let c(t) be the second derivative of 7*t**4/2 + t**3/3 - t**2/2 + 7*t. What is the units digit of c(1)?
3
Suppose 89*d = 87*d + 1494. What is the units digit of d?
7
Let b(d) be the third derivative of 0 + 0*d + 1/12*d**4 - 4*d**2 + 1/6*d**3. What is the tens digit of b(5)?
1
Let q = 1171 - 487. What is the hundreds digit of q?
6
What is the tens digit of -1*(34*124)/(-8)?
2
Let d = 25 - 22. Suppose 24 = x + d*x. What is the tens digit of (x/4)/(17/238)?
2
Let v = -4 - 21. Let l = -47 + 110. Let g = l + v. What is the units digit of g?
8
Let t(b) = b**2 + b + 1. Let w(o) = 2*o**2 - 18*o - 1. Let q(h) = 4*t(h) + w(h). What is the tens digit of q(6)?
3
Suppose 0 = -13*r + 12789 - 1531. What is the units digit of r?
6
Let w(v) = -6*v + 6. Let y be w(-12). Suppose 83*c - y*c = 355. What is the units digit of c?
1
Let i be 14/(-84) - (-13)/6. Suppose -2*z - 91 = -5*z - i*l, -3*l + 69 = 2*z. What is the units digit of z?
7
What is the units digit of -10*((-8)/2 + (-5 - -5))?
0
Let v(m) = -6*m + 32. Let a(y) = y**3 - 12*y**2 + 8*y + 18. Let f be a(11). What is the hundreds digit of v(f)?
1
Let b = -1990 + 3509. What is the hundreds digit of b?
5
Let b(n) = n**3 - 6*n**2 - n - 1. Let k be b(5). Let a = k - -56. What is the units digit of a?
5
Suppose 7*u = 8*u - 5. Suppose u*f - 316 = f. What is the tens digit of f?
7
Let k = 512 - -83. What is the hundreds digit of k?
5
Suppose 0 = 4*l + 319 + 205. Let u = -75 - l. What is the tens digit of u?
5
Let d = 21 + -54. Let n = d + 36. What is the units digit of n?
3
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