- 1. Suppose p*x + 4*z - 102 = 0, -117 = -5*x + 3*x + z. Let r = -33 + x. What is the tens digit of r?
2
Let g = -1702 + 2797. What is the hundreds digit of g?
0
Let y = -20 + -269. Let n = -50 - y. What is the units digit of n?
9
Suppose 0 = 10*f - 6*f - 12. What is the units digit of 3 - (0 + -19*f) - -2?
2
Let g(j) = -j - 4. Let u be g(-8). Let r = 22 - u. Let f = r + -8. What is the tens digit of f?
1
Let k(i) = -33*i**3 + i**2 - 3*i - 7. What is the tens digit of k(-3)?
0
Suppose o = 1 - 2. What is the units digit of (7/(-14))/(o/242)?
1
Let a = -292 + 893. What is the hundreds digit of a?
6
Let r(d) be the third derivative of d**5/60 - d**4/3 + d**3 - 2*d**2. Let j be r(6). What is the tens digit of (-2)/j - (-1818)/54?
3
Let l be (10/(-4))/(-1)*26. Let t = -38 - -41. Suppose -2*d - 2*d + g = -l, -3 = t*g. What is the tens digit of d?
1
Let q(y) be the second derivative of y**4/6 + y**3/2 + 9*y**2/2 - 10*y. What is the units digit of q(-6)?
3
What is the hundreds digit of ((0 - 1)*54)/((-15)/130)?
4
Let u(n) be the third derivative of -n**6/120 - 11*n**5/60 - 5*n**4/12 + 2*n**3 - 12*n**2. Let r be u(-10). What is the units digit of (-3)/r + 565/20?
8
Let n(x) = -53*x + 402. What is the hundreds digit of n(-23)?
6
Let r = -50 - -29. What is the tens digit of (-10)/35 - 57*6/r?
1
Let z(v) = v**2 + 8*v + 7. Let t be z(-8). Let p(a) = -a**3 + 7*a**2 + 2*a + 10. Let m be p(t). What is the tens digit of 16/m + (-94)/(-3)?
3
Suppose 3340 = 20*r - 15*r. Suppose 0 = -3*m - m + r. What is the tens digit of m?
6
Let c = -31 + 438. What is the tens digit of c?
0
Suppose -2*i + i = -4. Suppose 5*l = i*l. Suppose -2*c - 2*c + 4*d + 272 = l, -d = -5*c + 340. What is the tens digit of c?
6
Suppose 81 = -6*r + 15*r. What is the hundreds digit of (3 - r)/(6/(-129))?
1
Let l be 4/14 + 46/(-14). Let v be (-10)/(-15)*(1 - -5). What is the tens digit of (l + -7)*(-14)/v?
3
Let z = -3676 - -6757. What is the hundreds digit of z?
0
Let l be (-1 - 2)/6*(0 + -478). Let r = l + -136. What is the units digit of r?
3
Let z be (-143)/26 - 2/4. Let q(v) = -10*v + 21. What is the tens digit of q(z)?
8
Suppose 4*f = 2*f + 8. Suppose f*b - 220 = 2*d, -5*d + 192 + 42 = 4*b. What is the tens digit of b?
5
Suppose 5*m - 2*g - 2863 = -517, -4*g = 3*m - 1418. What is the units digit of m?
0
Let s(r) be the second derivative of 4*r**4/3 + r**2/2 - 3*r. Let h be s(-1). Suppose -2*w - f = -49, w - 3 = 4*f + h. What is the units digit of w?
4
Let j(z) = -z**3 + 10*z**2 + 43*z - 16. Let m be j(13). Suppose m = -0*k + k. What is the tens digit of k?
3
What is the hundreds digit of (324/45 + -8)/((-2)/835)?
3
Let v(i) = 5*i**2 - 13*i + 127. What is the tens digit of v(8)?
4
Suppose -65*l + 39*l + 68744 = 0. What is the hundreds digit of l?
6
Let v(c) = c**3 + 7*c**2 - c - 9. Suppose -3*w + 35 = -8*w. Let g be v(w). What is the units digit of (-23)/((0 + 2)/g)?
3
Let i = 642 - 274. What is the hundreds digit of i?
3
Suppose -12805 - 1150 = -5*k. What is the hundreds digit of k?
7
Let y(m) = 43*m + 76. What is the units digit of y(6)?
4
Suppose -5*w + 2*p + 19011 = 4*p, 2*w - 7608 = p. What is the units digit of w?
3
Let q(y) = -2*y**3 - 16*y**2 - 26*y - 89. What is the tens digit of q(-11)?
2
Let q = -2931 + 5798. What is the thousands digit of q?
2
Let f be ((3 - 1)*755 - 3) + 3. Suppose 0 = 13*i - 1285 - f. What is the tens digit of i?
1
Suppose 8 = -2*f + 20. Suppose 3*m + 266 = f*r - 2*r, 3*r + m = 193. What is the units digit of r?
5
Suppose -2*q = -4*s + 885 + 83, s = -2*q + 252. What is the tens digit of s?
4
Suppose 0 = d - 2*d + 93. What is the tens digit of d?
9
Suppose 20*m = 16*m + 16. Suppose m*a - 50 = 34. What is the units digit of a?
1
Let f = 3 + 6. Let l(b) = b**3 - 8*b**2 - 8*b - 7. Let t be l(f). Suppose -n + 77 = 3*v + n, 56 = t*v - n. What is the tens digit of v?
2
Let o(w) be the first derivative of -2*w**2 + 19*w + 3. What is the hundreds digit of o(-24)?
1
Let t = -3201 - -8746. What is the hundreds digit of t?
5
Let o(s) = -s**3 + 24*s**2 - s + 236. What is the hundreds digit of o(17)?
2
Let r be (2 + (-3)/(-1))/1. Suppose 2*a - 149 = -r*n + 4*n, -2*n = -3*a + 206. What is the units digit of a?
2
What is the hundreds digit of (-8187)/(-12) - -2 - 11/44?
6
Let x = 65 + -82. Let s = x + 26. What is the units digit of s?
9
Let i = 58 - 40. Let y = -3 + i. Let d = y - -18. What is the tens digit of d?
3
Let j(t) = -t**3 - t**2 + 3*t + 8. Let n be j(0). Let u = n - 2. What is the units digit of u?
6
Let b = -42 - -26. Let d(k) = -11*k. Let z be d(b). Suppose -5*h - z = -4*t, -5*t - 3*h + 191 = -2*h. What is the tens digit of t?
3
Let s(f) = 2*f + 8. Let y be s(4). Suppose 4*v = -0*u + 3*u + 38, -v + 4*u + y = 0. What is the units digit of (-1156)/(-28) + v/(-28)?
1
Suppose -6 - 8 = -2*s. Suppose 2*o - s = 3. Let x(k) = k**2 - 6*k + 6. What is the units digit of x(o)?
1
Let b be 24/(-30)*(1 + -56). Suppose 11 + b = i. What is the tens digit of i?
5
Let c(p) = -3*p - 1. Let m be c(-2). Let k(u) = -3*u - 36. Let g be k(-16). Let s = g + m. What is the tens digit of s?
1
Let z(g) = 7*g**2 + 5*g - 6. Suppose 2*f - 8 = 5*q, 0 = f + 4*f + 4*q - 20. What is the tens digit of z(f)?
2
Suppose 0*n + 5*n = -50. Let k(i) = i**3 + 10*i**2 - 5*i - 2. What is the units digit of k(n)?
8
Let u = -47 + 50. What is the tens digit of 35 - -3*2/u?
3
Let w(v) = 131*v + 15. What is the hundreds digit of w(4)?
5
Let a(g) = 3*g**2 + 35*g + 26. Let m(v) = v**2 + 12*v + 9. Let l(k) = 2*a(k) - 7*m(k). Let w be l(-13). Suppose -w*z - 3 = -5*z. What is the units digit of z?
1
Let o be 1285/25 - 2/5. Let w be ((-68)/o)/((-4)/6). Let c = 15 - w. What is the tens digit of c?
1
Suppose -3*a - 3 = -4*a. Let h(v) = 0*v**2 + 3*v**3 - 9*v**2 + 1 + 5 - 4*v**a. What is the units digit of h(-9)?
6
Let h(q) = -q**2 - 11*q - 3. Let u = 4 - 4. Let y = u + -7. What is the tens digit of h(y)?
2
Suppose 3*c = 8*c. Suppose 5*o - 368 - 407 = c. What is the units digit of o?
5
Suppose 580 = 5*b + 2*p - 444, 3*p = 3*b - 627. What is the units digit of b?
6
Suppose -4*x = -3*n + x + 190, 0 = -4*n - 3*x + 263. What is the tens digit of ((-20)/25)/((-1)/n)?
5
Let c(n) = 102*n**3 - 15*n**2 + 32*n + 1. What is the units digit of c(3)?
6
What is the units digit of 384/(-9)*(-153)/3?
6
Let f(a) = -11*a**3 + 5*a**2 + 5*a + 19. What is the tens digit of f(-4)?
8
Let f be 3*(2 + -86)/(-2). Let o = 197 - f. What is the units digit of o?
1
What is the units digit of (-46105)/(-30) - 20/24?
6
Let n(s) = s**3 - 7*s**2 + 5*s - 5. Let j be n(7). Suppose -40*c + 42*c = j. What is the tens digit of c?
1
Let x(y) = -2*y**3 + 6*y**2 + 16*y + 43. What is the units digit of x(-8)?
3
Let b = -191 - -131. Let d = b + 120. What is the units digit of (d/(-8))/(2/(-12))?
5
Let d = 1259 - 274. What is the hundreds digit of d?
9
Let m = -2933 - -5425. What is the thousands digit of m?
2
Suppose -70*a = -82*a + 25788. What is the units digit of a?
9
Let j(i) = 9*i**2 - 12*i - 11. Let n(c) = -2*c**2 + 19*c - 13. Let k be n(9). What is the hundreds digit of j(k)?
1
Suppose 2*h - 3*l - 27 = 0, -21 = -h + 5*l - l. Let u = h + 3. Let i = -5 + u. What is the units digit of i?
7
Let i(d) = d**3 - 6*d**2 - 2*d + 8. Let r(j) = -12 - j - 7 + 12. Let q be r(-14). What is the units digit of i(q)?
3
Let h = -154 - -372. What is the tens digit of h?
1
Suppose 4*p = 11*p + 35. What is the units digit of (-3)/(-30)*2 + (-579)/p?
6
Let d(a) be the third derivative of 0*a - 1/24*a**4 + 41/6*a**3 + 0 + 6*a**2. What is the tens digit of d(0)?
4
Let o = 45 - 45. Let d(c) = -c**2 - 2*c + 219. What is the units digit of d(o)?
9
Let v = -83 + 83. Suppose -c + v*c = a - 67, -a + 191 = 3*c. What is the tens digit of c?
6
Suppose 2*n - t - 1491 = 0, 254 = n + 2*t - 479. What is the units digit of n?
3
Suppose -2*p - 36 = 4. What is the units digit of (395/p)/(3/(-12))?
9
Suppose 2273 + 5242 = 15*s. What is the units digit of s?
1
Let x(l) = 59*l**2 + 14*l + 76. What is the hundreds digit of x(-6)?
1
Let c be (-1 - 7)*(-1 + 4/16). What is the units digit of (-96)/4*(-4)/c?
6
Let g be (3 - (1 - -1))/(1/2). Suppose -g*y + 337 = 4*z - 53, 0 = 3*y - 3*z - 558. What is the hundreds digit of y?
1
Suppose 2*i + 3*s = 76, 123 - 9 = 3*i - 2*s. What is the units digit of i?
8