a - 9. What is the units digit of s(-12)?
7
Let v = 41 - 40. What is the hundreds digit of (106 - v)*(-12)/(-10)?
1
Suppose 5*p - 2 + 22 = 0, -5*p + 5 = 5*r. Suppose -2*z + h = -z - 33, 169 = r*z - h. What is the units digit of z?
4
Suppose -6 = -3*j + 3. Let t(h) = -j - 4*h + 5 - 11*h. What is the tens digit of t(-2)?
3
Let b = 1617 + -965. What is the units digit of b?
2
Let i(a) = a**3 + 4*a**2 - 9*a + 22. What is the tens digit of i(7)?
9
Let v(r) = -111*r + 448. What is the hundreds digit of v(-17)?
3
Let t(h) = -h**3 + 2*h**2 - 5. Let m be t(3). Let a = 77 + m. What is the units digit of a?
3
Let f(n) = 23*n - 1. Let c be f(2). Suppose 0 = 3*b + 5*t - c, -b + t + 29 = -2*t. Suppose 3*g = -b + 77. What is the tens digit of g?
1
Let c(d) = -22*d - 3. Let q be c(-2). Suppose 5*b - 109 = q. Let v = b + 19. What is the units digit of v?
9
Let c(n) be the first derivative of -n**4/4 - 10*n**3/3 + 3*n**2 - 8*n + 1. What is the units digit of c(-11)?
7
Let d(t) = -1 - t**2 - 6*t - 4 - 2*t + 3. Let v be d(-7). Suppose -x + 11 = -v*y + 26, 3*y - 17 = -x. What is the units digit of x?
5
Let n be (-1)/3*-3*-1. Let d be ((-84)/(-6))/((-2)/n). Suppose 0 = d*b - 5*b - 100. What is the tens digit of b?
5
Let c(f) = 675*f - 272. What is the tens digit of c(3)?
5
Let j(k) = 12*k - 3 - 1 + 3. Suppose 3 = y + 2*y. What is the tens digit of j(y)?
1
Suppose -3*k - 18643 = -5*z - 7*k, 4*z + 5*k - 14918 = 0. What is the hundreds digit of z?
7
Suppose 5*c - 5*j - 160 = 7*c, 0 = 3*j. Let k = c + 180. What is the units digit of k?
0
Let x = 4 - 0. Suppose -195 = 5*y + 5*g - 0, 2*g = -x*y - 160. What is the units digit of (-2)/(3 - y/(-13))?
3
Let m(f) = -3*f**3 - f**2 + 15*f - 35. What is the thousands digit of m(-9)?
1
Suppose -3*p + 11*p = -48. What is the hundreds digit of (-344)/(-3) + 4/p?
1
Let w = -369 + 862. What is the tens digit of w?
9
Suppose 39*u - 81*u = -25914. What is the units digit of u?
7
Suppose 6*d - 4*d = -3*n + 15, 2 = 2*n + 4*d. Suppose 5*q - n*q = 0. Suppose 3*z = -q*z + 159. What is the tens digit of z?
5
Let i(g) = g**2 + 9*g. Let x be (18 - 19)*(-9)/(-1). Let t be i(x). Suppose t = 3*w - 8*w + 245. What is the units digit of w?
9
Let j = 2480 - 818. What is the thousands digit of j?
1
Suppose 10*h - 9*h + 5 = 0, -5*h - 945 = -5*u. Let n = 309 - u. What is the units digit of n?
5
Let g(f) = f**3 + 6*f**2 - 4. Let w be (0 - -2 - 0) + 2. What is the tens digit of g(w)?
5
Let d = -24 + 146. Let o = 29 + d. What is the tens digit of o?
5
Let s(g) be the third derivative of g**4/4 - 3*g**3/2 - 4*g**2. Let z be s(16). Let r = 128 - z. What is the tens digit of r?
4
Let k be 3 - (-27)/2*-2. Let v be k/32 + (-1110)/(-8). Suppose 0 = 5*j + j - v. What is the tens digit of j?
2
Let r(i) = i + 3 - i**2 + 0*i**2 + i + 8*i**2. Let q be r(-3). Suppose 4*w - 24 = q. What is the units digit of w?
1
Let p(c) = -5*c**2 - 9*c + 6. Let u(l) = 6*l**2 + 9*l - 7. Let a(b) = -5*p(b) - 4*u(b). Let z be a(-11). Suppose r - z = 16. What is the units digit of r?
6
Let b = -1655 - -1871. What is the tens digit of b?
1
Suppose 3*a - 17 + 2 = 0. Suppose 0 = -a*n + 45. What is the units digit of (-10)/(-30)*n*6?
8
Let a(i) = -i**2 - 6. Suppose 0 = j - 6*j. Let s be a(j). What is the tens digit of (11/4)/(s/(-24))?
1
Let p be 8*((-6)/7)/((-16)/84). Let u = p - -5. What is the units digit of u?
1
Suppose 9*i - 300 = -3*i. What is the tens digit of i?
2
Suppose 30*v - 27*v = 4*z + 1032, 0 = -v - z + 351. What is the units digit of v?
8
Suppose 0 = -2*a - 8, -5*r = -2*r - 3*a - 2661. What is the tens digit of r?
8
Let c(y) = 8*y**2 + 10*y**2 + 3*y + 10 + 3*y - 8*y. What is the hundreds digit of c(3)?
1
Let t(r) = 16*r**2 + 3*r - 1. Suppose 5*y = -2 + 17. Let b be t(y). Suppose -4*j + 8*j - b = 0. What is the tens digit of j?
3
Let b = -1111 + 1719. What is the units digit of b?
8
Let t = -827 - -1388. What is the tens digit of t?
6
Suppose 4*p - 69 = p - 3*t, 3*t = -4*p + 89. What is the tens digit of p?
2
Suppose -279 = 5*z + r - 3*r, -5*z - 5*r - 265 = 0. What is the units digit of (z - -4)*(-8)/3?
6
Let h(f) be the second derivative of f**3/3 - 5*f**2/2 - 5*f. Let i be 3*(20/6)/2. What is the units digit of h(i)?
5
Let d = 366 - -88. What is the hundreds digit of d?
4
Suppose 3*s - s - 6 = 0. Suppose 0 = -4*k - 0*k + s*z + 140, -5*z = 3*k - 76. Suppose 4*a - k = -5*d, 5*a + 4*d + 17 = 48. What is the units digit of a?
3
Let n be 3/(4 + 25/(-10)). Suppose -18 = -n*a + a. What is the units digit of a?
8
Let a = 612 - 99. What is the tens digit of a?
1
Let u be 0 + (5 - -439 - 4). Suppose 2260 = 7*i + u. What is the units digit of i?
0
Suppose -16*k + 12312 - 3320 = 0. What is the units digit of k?
2
Let f = 236 - 6. Suppose -3*z + f = -256. What is the hundreds digit of z?
1
Suppose -2*z - 145 = -5*n, 0 = -4*n + 7*z - 11*z + 116. What is the tens digit of n?
2
Let q = -25 - -28. Suppose -q*x = -2*t - 63, x - 3*t = 18 + 3. What is the units digit of x?
1
Let n = -5 - -1. Let y be (-1)/n*-33*4. What is the units digit of (y/(-9))/(2/6)?
1
Let w be (5 - (-3 + 0)) + 0 + -3. Suppose -k - 400 = -w*m + 4*k, 3*k = 15. What is the units digit of m?
5
Let u(a) = -a**3 - 26*a**2 + 49*a + 43. What is the units digit of u(-28)?
9
Let o(y) = y**3 + 5*y**2 - 14*y + 6. Let r be o(-7). Suppose 4*t = r*t - 228. What is the tens digit of t?
1
Suppose -3*d - 910 = 4*d. Let o = d - -236. What is the units digit of o?
6
Suppose 3*d + 4*c = 43, -3*d + 22 = -d - 4*c. Suppose 4*i + j + d = 0, 4*j - 21 = 3*i + 3. Let l(g) = -11*g + 9. What is the units digit of l(i)?
3
Let f(j) = -6*j**2 - 2*j - 14. Let t be f(-4). Let k = 42 - t. What is the hundreds digit of k?
1
Suppose -19888 = 16*s - 27*s. What is the thousands digit of s?
1
Let f = 465 + -112. What is the units digit of f?
3
Let l = -333 - -1384. What is the tens digit of l?
5
Let o = -612 - -1340. What is the hundreds digit of o?
7
What is the thousands digit of (-17 + -7)/6 + (-1297)/(-1)?
1
Let w(s) = -4*s**2 - s - 8. Let d(g) = -4*g**2 - g - 9. Let u(o) = 3*d(o) - 4*w(o). What is the tens digit of u(-7)?
9
Suppose 2*y - 139*c = -138*c + 8439, -4*c - 21093 = -5*y. What is the units digit of y?
1
Let n(q) = -22*q - 9. Let j be n(-2). Suppose -33*s - 252 = -j*s. What is the hundreds digit of s?
1
Suppose -2*i + 9150 = 9*s - 5*s, 5*i + 4569 = 2*s. What is the thousands digit of s?
2
Let k be -50*((-8)/4)/((-8)/(-6)). Suppose 4*z - 17 + 150 = 5*g, z + 43 = -2*g. Let d = k + z. What is the units digit of d?
8
Suppose z + 1 = -2*d - 2, -2*d - 9 = -z. What is the units digit of -4 - -1*(4 - d)?
3
Let l(v) = v**2 - 7*v + 6. Let p be l(7). Suppose -p*j + 184 + 188 = 0. What is the units digit of j?
2
Let v be -2 - -6*4/3. Suppose 40 = v*c - 10*c. Let n(y) = -y + 2. What is the units digit of n(c)?
2
Let q = -16 - 306. Let f = 507 + q. What is the tens digit of f?
8
Let i be (-6 - -5) + (-39)/(-3). Let n = i + -8. Suppose -3 = -n*g + 9. What is the units digit of g?
3
What is the hundreds digit of (1 - (-14790)/8) + 4/16?
8
Suppose 3*m + 4*w + 10 = 0, m - 2*w - 3*w = 22. Suppose 4*x - m = -14. Let y(t) = -6*t + 1. What is the tens digit of y(x)?
1
Suppose 0*f - 30 = -f. Suppose 5*b = -20 + 5, 0 = -2*m - 2*b + 94. Let h = m - f. What is the units digit of h?
0
Let z = 19 - 2. Let w = z + -13. Suppose -3*k + 10 = -b - 2, -w*k = 2*b - 16. What is the units digit of k?
4
Suppose 0 = -289*c + 311*c - 86372. What is the units digit of c?
6
Let i = -444 - -512. What is the units digit of i?
8
Let x be (7/2)/(1/2). Let d = x - 7. Suppose d*y = j + 4*y + 3, 0 = -5*j - 4*y + 33. What is the units digit of j?
9
Let b be (-52)/(-39) + 4/6. Let d = 3 - 0. Suppose 5*f - 2*k = 66, 3*f + b*k - d - 43 = 0. What is the tens digit of f?
1
Suppose 28 = 10*s - 22. Suppose s*y - 3*p = 818 + 111, -733 = -4*y - p. What is the tens digit of y?
8
Let a(w) = -w**2 + 6*w - 3. Let j be a(5). Suppose -n - k = 7, -2*n + 5*k - j = -23. What is the units digit of -20*(-1)/(n - -3)?
0
Let y(g) be the first derivative of -59*g**4/4 - 2*g**3/3 - g**2 - g + 13. What is the units digit of y(-1)?
8
Let q be 30/(-18) + (-40)/(-6). Suppose q*b - b - 400 = 0. What is the hundreds digit of b?
1
Let z(s) = -280*s + 267. What is the tens digit of z(-3)?
0
Let w = 2190 - 1234. What is the