- 12. Let z be s(18). Let l(u) = 9*u - 39. Let g(b) = 2*b - 8. Let o(m) = 11*g(m) - 2*l(m). What is the units digit of o(z)?
4
Let h(o) = -o**2 - 5*o + 30. Let r be h(-8). Suppose -39*y + 37*y = r. Let w(i) = 9*i**2 + 4*i - 6. What is the tens digit of w(y)?
6
Suppose 4*f + 24 = -3*z, 2*z - 81 = 4*f - 77. What is the units digit of 49/f*(39 + -42)?
9
Suppose -1164 = 13*h - 10758. Suppose -m - m - 5*v + 1486 = 0, 5*v = -m + h. What is the units digit of m?
8
Let n be 1/2*(-4 - (-2 - 0)). Let f be 31/(n*(-4)/(-16)*2). Let q = 29 - f. What is the units digit of q?
1
Let j(w) = -14*w + 15. Let u be j(9). Let o = u + 108. What is the tens digit of ((-296)/(-28))/1 + o/(-7)?
1
Suppose -14806 = -8*q - 4*q + 48038. What is the hundreds digit of q?
2
Let u(x) = x - 23. Let g be u(15). Let f(i) = -i**2 - 10*i - 12. Let d be f(g). Suppose 3*a - 4*a + 80 = d*v, -4*v + 284 = 4*a. What is the units digit of a?
8
Let s be ((-35)/(105/(-18)))/(4/(-126)). Suppose 5*l - 1075 = l - 3*h, 0 = l + 5*h - 290. Let y = s + l. What is the units digit of y?
6
Let x(j) = j**2 + 35*j + 12. Let b be x(-32). Let f = b - -369. What is the units digit of f?
5
Suppose 2*r - 3*w = r + 1085, 5520 = 5*r + 4*w. Suppose -4*c + r = -368. What is the hundreds digit of c?
3
Let j(u) = -12*u + 13. Let r be j(5). Let n = r + 521. What is the units digit of n?
4
Let l be (-4)/10 - 1736/(-140). What is the units digit of (-16552)/(-32) - (2 - 33/l)?
8
Let z be (-9 - -1 - 0)*(-23)/2. Let b = z - 88. Suppose -147 - 57 = -b*h. What is the units digit of h?
1
Let b(l) be the first derivative of -7*l**3 - 63*l**2/2 + 10*l - 27. Let u(v) be the first derivative of b(v). What is the hundreds digit of u(-7)?
2
Let f(c) be the second derivative of 7/2*c**2 + 0 + 2/3*c**3 + 1/6*c**4 - 5*c. What is the tens digit of f(-4)?
2
Let b = -1623 - -3326. What is the hundreds digit of b?
7
Let l(j) = -j**3 + 33*j**2 - 64*j + 60. Let r be l(31). Suppose -8 + 4 = -4*p. What is the units digit of (-65)/r - p/(-2)?
3
Let p = 9853 - 26. What is the tens digit of p?
2
What is the units digit of ((-1631)/3)/(94/12 + -8)?
2
Let i(s) = -s**2 + s + 1. Let m(f) = -7*f**2 + 13*f + 40. Let y(o) = 5*i(o) - m(o). What is the hundreds digit of y(16)?
3
Let g(m) = m**2 + 7*m + 12. Let n = -68 + 63. Let z be g(n). Suppose -4*u = -z*u - 88. What is the units digit of u?
4
Let f = 326 + -307. Suppose 15265 - 825 = f*h. What is the hundreds digit of h?
7
Suppose -1091 = -b + 5*a, -2*b + a - 2*a + 2160 = 0. Let h = 2762 - b. What is the units digit of h?
1
Let h(q) = 11*q**2 - 8*q. Let a be (-1)/(6/15 + 5/(-25)). What is the tens digit of h(a)?
1
Let l(t) = 5*t**2 - 4*t - 3. Let g be (70/(-21) + 3)*-9. What is the tens digit of l(g)?
3
Let j(c) = 21*c**2 - 291*c - 302. What is the hundreds digit of j(-28)?
3
What is the hundreds digit of -6*2 + -65 + 12712?
6
What is the thousands digit of (-402)/(-670) + 12652/5?
2
Let k(f) = -13*f + 8041. What is the tens digit of k(43)?
8
What is the hundreds digit of (11766/2)/(9 - 6) + 2?
9
Suppose -7*j - 19 = -5*v - 11*j, -v = 4*j + 9. Suppose 10*f - 6 = v*f, -y - 5*f = -819. What is the hundreds digit of y?
8
Let l(k) = 662*k - 8022. What is the units digit of l(30)?
8
Let n = 247 - 236. Suppose 0 = -n*h - 8156 + 26328. What is the units digit of h?
2
Let k be ((150/(-4))/5)/((-6)/8). Suppose -50 = k*h - 12*h. Suppose -84 = -y + h. What is the tens digit of y?
0
Suppose -6*l + 15 = -9. Suppose 2*f - 1082 = o, -l*f + 9*o + 2170 = 4*o. What is the tens digit of f?
4
Suppose 4*w = -0*q - 5*q - 2, 2*q = -2*w. Suppose 5*j = w + 23. Suppose 0 = j*o - o - 324. What is the units digit of o?
1
Let r(q) = 6*q + 19. Let b(l) = 7*l + 18. Let c(t) = -3*b(t) + 4*r(t). Let k(a) = -a**2 + 17*a + 32. Let d be k(19). What is the units digit of c(d)?
4
Let g = -4 - -8. Suppose -g = -2*j - 0*j - 5*a, -a = 2*j - 20. Let h = 5 + j. What is the tens digit of h?
1
Suppose 0 = 12*a - 14*a + 4. Suppose 8*n - 4 = 4*n, 3*d = a*n + 379. Suppose 2*j + 4*p = 344, -d = -5*j - p + 742. What is the hundreds digit of j?
1
Let b(w) = -w**2 - 7*w - 9. Let k be b(-3). Suppose -12 = -k*a - 21. What is the tens digit of (a + 7)*(-1)/12*-141?
4
Suppose -2*d + 164 + 50 = 0. Let i = 123 - d. What is the units digit of i?
6
Suppose 27*c - 5547 - 4173 = 0. Suppose -2*l + c = -2*b, -2*l + 218 = -5*b - 145. What is the hundreds digit of l?
1
Let y be (25 + 2)/(24 - 23). Suppose 2 = b, 2*b = y*c - 25*c - 3148. What is the tens digit of c?
7
Let d(v) = 1047*v - 11180. What is the hundreds digit of d(44)?
8
Suppose -100*a + 62*a + 3559050 = 61*a. What is the tens digit of a?
5
Suppose 596049 = -147*y + 7033326. What is the ten thousands digit of y?
4
Let j be ((-30)/(-3) + 2)*(-2571)/(-4). Suppose j = -284*q + 293*q. What is the units digit of q?
7
What is the units digit of 136/612 - (-15897)/27?
9
Let v be (-4)/((1 - -1) + 1 + -4). Suppose 332 = f - z, 3*f - v*f = 3*z - 336. What is the units digit of f?
3
Let n(d) = -103*d**3 - 6*d**2 - 54*d - 281. What is the hundreds digit of n(-5)?
7
Let s(g) = 2*g**2 - g + 1. Let c be s(1). Let k = -2245 - -2287. Suppose 3*y - 3*r = -0*y + 63, -k = -c*y - r. What is the tens digit of y?
2
Suppose -822861 + 3306561 = 85*d. What is the hundreds digit of d?
2
Let o(l) = -17*l**3 + 18*l**2 + 15*l + 528. What is the thousands digit of o(-14)?
0
Suppose -s = 2*n - 10, 0 = 2*s - 5*n - 5 + 21. Let r(b) = 7 - s - 8 + 5*b. What is the units digit of r(5)?
2
Suppose 141176 = -106*q + 860720 + 1383708. What is the tens digit of q?
4
What is the units digit of ((-2)/(-6) + 26/(-6))*(-7038789)/956?
1
Let u be 2 + -1 + (-15)/3 + 6028. Suppose -18*j - u = -26*j. What is the units digit of j?
3
Let u = -38 - -48. Suppose 5*f + u = 0, 2*f = 4*b - 9 - 3. What is the hundreds digit of (0 + b + -1)*103?
1
Suppose -4*o - v - 2*v + 20 = 0, 3*v - 18 = -3*o. Let g be (-2 + 4*28/48)*0. Suppose g = o*l - 0 - 4, -4*b + 244 = -4*l. What is the units digit of b?
3
Let g be (40/(-30))/(4/(-9)). Suppose -g*r + 10 = -r. Suppose 0 = 2*w + 3*w - 5, r*x = 3*w + 212. What is the units digit of x?
3
What is the thousands digit of (-2 - (-103328)/(-6))*(-66 - -63)?
1
Let i = 19 + -27. Let v = 15 - i. Suppose 128 + v = 5*z - 2*q, 116 = 4*z - 4*q. What is the units digit of z?
1
Suppose -3*h - 3 = -4*x - 14, x - 1 = 0. Suppose -5*q - h = 0, -2*f - q - 1543 = -280. Let j = -432 - f. What is the units digit of j?
9
Let k(u) be the first derivative of 3*u**4 + u**3/3 - 17*u - 67. What is the hundreds digit of k(3)?
3
Suppose 103*h + 20 = 105*h. Suppose h*a - 508 = 622. What is the tens digit of a?
1
Let w(c) = -2*c - 7. Let z(u) = 4*u - 76. Let b(y) = -4*w(y) + z(y). Let m(i) = -17*i - 1. Let h be m(-1). What is the hundreds digit of b(h)?
1
Let k(q) be the third derivative of 97*q**4/24 + 41*q**3/6 + q**2 + 10. What is the tens digit of k(6)?
2
Suppose k + c + 0*c - 5 = 0, -4*k + 5 = c. Let i be 3 + -2 - -230 - k. Suppose -5*z - 2*z = -i. What is the tens digit of z?
3
Suppose p + 1 = 0, z + p = -z - 1609. Let y = -257 - z. What is the tens digit of y?
4
Let f(o) = 171*o + 992. What is the tens digit of f(21)?
8
Suppose -57*l + 378647 + 363778 = 0. What is the units digit of l?
5
Let n(q) = -q**3 + 11*q**2 + 5*q - 8. Let t be n(11). Suppose -17 = -b + t. What is the units digit of b?
4
Let y(s) = -460*s - 303. What is the thousands digit of y(-17)?
7
Let c(q) = -q**3 - 18*q**2 - q + 36. Let b be c(-18). Suppose -53*h + b*h - 333 = 0. What is the tens digit of h?
3
Suppose 2*r = -3*p + 3428, -7*r + 13740 = r + 5*p. Suppose r + 3744 = 4*i. What is the units digit of i?
6
Let p = 5801 + 966. What is the tens digit of p?
6
Suppose 0 = 3*x - 3*r - 10761, 2*x - 5*x - r + 10761 = 0. What is the units digit of x?
7
Suppose 104 = 4*r - 0*r. Suppose 0*b + 3*b = 2*i + 46, 2*i = -3*b + r. Suppose 0 = -2*f + f + b. What is the units digit of f?
2
What is the tens digit of -6 + 116/20 - (-1 + 305613/(-15))?
7
What is the units digit of (((-3)/(-5))/((-5)/3112450*-11))/1?
4
Suppose -3*o - 220 = 515. Let j = 797 + o. What is the hundreds digit of j?
5
Let m(i) = i**2 - 5*i - 21. Let d be m(-3). Suppose -d*k - 422 + 4145 = 0. What is the thousands digit of k?
1
Let l(a) = 20*a - 3. Suppose 20 + 37 = 3*g. Let y be l(g). Suppose f - 223 = -3*k, 0*k + 5*