- 3 + 1. What is the units digit of (4 + d)/(15/10)?
2
Suppose 20 = -3*f - 2*f. Let b be f/8*(-6 + 0). Suppose 159 = 4*v + b*h, 5*h + 232 - 81 = 4*v. What is the tens digit of v?
3
Suppose -279 + 79 = -4*o. What is the tens digit of o?
5
Let v be 9/(-3) + 7 - 2. Let u be 1/(v/10)*1. Suppose -t - 2*r = r - 5, -u*t - 4*r = -47. What is the units digit of t?
1
Suppose 4*n - 5*y = -45, 0*n + 5*y + 35 = -4*n. Let o = -11 - n. What is the units digit of 4 + o + -6 + 21?
8
Let w = -715 - -1138. Suppose 183 + w = 6*m. What is the units digit of m?
1
Suppose 2*t = 4*h - h - 1, -3*h = -3*t. Let g be -1*(0 - (t + 1)). What is the units digit of ((-36)/10)/(g/(-5))?
9
Let k be (-2)/(-1) + -1 - 12/(-3). Suppose -5*c + 177 = 5*x - 963, 25 = k*c. What is the units digit of x?
3
Let y(m) = -50*m + 265. What is the units digit of y(-13)?
5
Let y = -23 - -36. Let b = y - 13. Let g(d) = d + 8. What is the units digit of g(b)?
8
Suppose 3*v - 5*q - 4970 = 0, -2*q = -13 + 3. What is the tens digit of v?
6
Let i(l) = 8*l**2 - 103. What is the units digit of i(11)?
5
Let c(k) = 2*k**3 - 8*k**2 - 2*k. Let b be c(4). Let n be (-9)/6 - 156/b. What is the tens digit of (-4)/18 + 292/n?
1
Let o be 3/(-2)*(-2448)/27 + 0. Suppose 0 = 3*q + 2*k - 403, 0 = 5*q - 4*q + k - o. What is the units digit of q?
1
Let h be (-6 - -3)/(4/(-1176)). Suppose 21*y - 15*y = h. What is the tens digit of y?
4
Suppose 3*f = 2*m + 2547, 4*f + m - 2133 = 1252. What is the units digit of f?
7
What is the units digit of 1/(1/48)*570/24?
0
Suppose -y + 1711 = -3*k + 13439, -5*y + 11722 = 3*k. What is the units digit of k?
9
Let n(s) = -s**2 - 10*s - 11. Let t be n(-11). Let z = -20 - t. Suppose 118 = 4*l - z*w, -2*w - w = l - 33. What is the units digit of l?
0
Suppose -2*c + 130 = 11*c. What is the tens digit of (-5)/(c/(-16)) + (2 - -1)?
1
Let w = -188 - -532. What is the units digit of w?
4
Let s = -16 + 28. Let b = 62 - 50. Suppose -b = -j + s. What is the tens digit of j?
2
Let w(h) = -h**3 + 9*h**2 - 10*h + 20. Let o be w(8). Let z(x) = -x**3 + 5*x**2 - 3. What is the units digit of z(o)?
3
Let h be (-10)/(-45) + (-184)/18. Let t be (-8)/(-3)*(-15)/h. Suppose t*z = -0*p + 5*p - 38, p = -3*z + 19. What is the units digit of p?
0
Suppose -2*l + 5*l + 5*i - 64 = 0, i + 47 = 4*l. Let y = l + 11. What is the units digit of (y - -1)*32/40?
0
Let g(u) = 8*u**2 + 212*u + 43. What is the tens digit of g(-30)?
8
Let v = 2280 - -2740. What is the thousands digit of v?
5
Let f(h) = -2*h - 8*h**2 - h**3 + 2*h**3 - 5*h. Let q be 1*(14 - 1) - 4. What is the units digit of f(q)?
8
Suppose 11 = 3*c + 2*i - 35, 59 = 4*c + 5*i. Let r = c + 11. What is the tens digit of r?
2
Let p(i) = -5*i + 204. Let z(x) = -13*x + 611. Let o(c) = -11*p(c) + 4*z(c). What is the tens digit of o(0)?
0
Let w(l) = 2*l**3 - 13*l**2 + 28*l - 46. What is the thousands digit of w(11)?
1
Let w(i) = 9 + i + 0 - 10. Let s(m) = -m + 15. Let p(t) = -s(t) + 2*w(t). What is the units digit of p(13)?
2
Let r(x) = -3*x + 19. Suppose 3*d + 0*d = 2*g + 34, 5*g + 4*d + 62 = 0. What is the tens digit of r(g)?
6
Let g = 24 + -18. Let u(i) = -i**3 + 5*i**2 + 5*i + 8. Let n be u(g). Suppose s - 28 = -s - 3*q, 30 = n*s + 2*q. What is the units digit of s?
7
Suppose -452 = 3*h - 5*h - o, 5*o - 20 = 0. Suppose -6*y + 4*y = -h. What is the units digit of y?
2
Suppose 2*f + 4 = 2. Suppose 0 = -r + 6 + 7. What is the tens digit of (0 + r - -2) + f?
1
Let o be (-2)/(8/6)*(-1656)/27. Let a = 109 - o. What is the units digit of a?
7
Let x be (0/(-2))/((-18)/(-9)). Suppose 2*d - 6 - 1 = o, 2*d - 8 = x. Let s = o - -16. What is the tens digit of s?
1
Let b be ((-20)/12)/((-1)/6). Let f be (-4)/(5/(b/(-4))). Let d = f + -1. What is the units digit of d?
1
Let p(s) be the second derivative of s**5/40 + s**4/12 - 5*s**3/6 + s. Let m(q) be the second derivative of p(q). What is the units digit of m(3)?
1
Suppose 344 = 2*b + 2*b. Let w be b/(-4) + (-1)/(-2). What is the units digit of ((-238)/w)/((-2)/(-3))?
7
Let q(r) = -1920*r - 15. Let h(d) = 137*d + 1. Let w(c) = -55*h(c) - 4*q(c). What is the hundreds digit of w(1)?
1
What is the tens digit of (-9601)/(-4) - 3*(-1)/(-12)?
0
Let v(u) = -10*u - 1. Let f(s) = s + 9. Let y be f(-6). Let g be v(y). Let h = -2 - g. What is the units digit of h?
9
Let x(s) = -13*s + 1. Let m(z) = 25*z - 2. Let u(n) = -3*m(n) - 5*x(n). Let i be u(-1). Suppose -w + 0*w = 2*c - 8, i = w + 5*c. What is the units digit of w?
6
Let o = -820 + 1590. Suppose -6*a = 4*a - o. What is the tens digit of a?
7
Suppose -5*d - 2283 = -r, 2*r - 5*d - 3199 - 1357 = 0. What is the thousands digit of r?
2
What is the hundreds digit of (2*(-3)/(-2))/((-3)/(-635))?
6
Let d(k) be the first derivative of -k**3/3 - 5*k**2/2 + 3*k - 6. Let b be d(-4). Suppose x = b + 10. What is the tens digit of x?
1
Let w be 1599/21 - (-4)/(-28). Suppose 2*n - c - w = 2*c, -5*n = -5*c - 195. What is the tens digit of n?
4
Suppose -11*m + 720 = -2*m. Suppose -4*u + 120 + m = 0. What is the tens digit of u?
5
Suppose 5*f = -y + 15, 6 = 2*f - 0*f + 3*y. Let p(w) = 10 - w**2 + 7*w**2 + w**3 + w**3 + 7*w - 3*w**f. What is the tens digit of p(7)?
1
Let o(i) = -i**3 + 13*i**2 + 3*i + 18. Let n be o(13). Let g = n - 41. Suppose -y = -3*y + g. What is the units digit of y?
8
Let q(u) = 26*u**3 - u**2 + 2*u - 1. Let c be q(1). What is the units digit of (6/(-3) - -3)*c?
6
Suppose -3*o - 15 = 0, -8*d + 9*d = -3*o - 76. What is the tens digit of -2*d*(-1 - -2)?
2
Let n(r) be the first derivative of -r**4/4 - 8*r**3/3 + 13*r**2/2 + 12*r + 14. What is the units digit of n(-10)?
2
Let b = 13 + 2. Suppose b + 10 = 5*u. Suppose i + 2*i - 5*r = 172, 5*i + u*r = 220. What is the units digit of i?
9
Let g(j) = j**3 + 4*j**2 - 6*j - 2. Let x be g(-5). Suppose x*p - 11 - 1 = -3*u, p - 16 = 5*u. Suppose p = -2*r + 62. What is the tens digit of r?
2
Let f = 2508 + 3742. What is the units digit of f?
0
Let o(y) = 46*y - 148. What is the tens digit of o(16)?
8
Suppose -2 = m, 0 = -5*o - 3*m + 1 + 3. Suppose -4*b = -b - 4*r - 39, 0 = -2*b - o*r + 40. Suppose -b = 4*x - 1, -2*z + x = -136. What is the tens digit of z?
6
Let s(d) be the second derivative of d**5/20 + 7*d**4/12 - d**3 + 3*d**2/2 - d. What is the units digit of s(-7)?
5
Let i be (0 + 2)*(4 - 12/8). Suppose 5*x - 1010 = -i*x. What is the units digit of x?
1
Let f = 2 - -16. Let n = 96 + -108. What is the units digit of (n/(-1))/(f/12)?
8
Suppose 34*z = -1777 + 10617. What is the hundreds digit of z?
2
Suppose -61*a = -67*a + 8082. What is the units digit of a?
7
Let n(v) = -18*v - 70. What is the tens digit of n(-38)?
1
Suppose 296 = c - 4*k, 4*k - 2*k - 326 = -c. What is the hundreds digit of c?
3
What is the units digit of (-190)/(-10)*(3 - 1)?
8
What is the units digit of 2/4*1*868?
4
Suppose -338 = -4*h - 2*t, 3*h - 255 = -2*t - 4. Let z = h - 61. What is the units digit of z?
6
Let n(g) = g**2 + 11*g + 1. Let s be 2/6*(-18)/(-3). Suppose -3*b = 2*m + 13, m - s*b = b - 20. What is the units digit of n(m)?
1
Let y be 4 - 3 - (-3)/(-3). Let b be (-1 + y)*114/(-6). Suppose b - 4 = 5*z. What is the units digit of z?
3
Suppose -1133 - 307 = -9*q. What is the units digit of 1/(42/q + 4/(-16))?
0
Let k(t) = 28*t + 77. What is the tens digit of k(18)?
8
Suppose -3*t + 45 = 2*y, 4*y + t + 5 = 70. Let n = 15 - y. Suppose -6*z + 2 + 4 = n. What is the units digit of z?
1
What is the tens digit of 99/(-132) - 142/(-8)?
1
Let w = 5143 - 3265. What is the hundreds digit of w?
8
What is the tens digit of (-389725)/(-262) + 3/2?
8
Let f be 3/((-21)/9 - -2). Let j = -7 - f. Suppose -u + j = -10. What is the tens digit of u?
1
Let c(k) be the third derivative of -k**5/60 + 17*k**4/24 + 5*k**3/3 - 18*k**2. What is the tens digit of c(8)?
8
Let y(k) be the third derivative of k**6/360 + k**5/120 - k**4/8 - 2*k**3/3 + 5*k**2. Let t(d) be the first derivative of y(d). What is the units digit of t(4)?
7
Let g(k) = -67*k**3 + k**2 + 2*k - 1. Let l(i) = -i**3 + i. Let c(r) = g(r) - 3*l(r). What is the units digit of c(-1)?
5
Let c be (-13)/(-1) - (-6)/(-6). Suppose 2*s = -2*y + 3*y - c, 5*y = 5*s + 30. Let l = -5 - s. What is the units digit of l?
1
Suppose -116 = -2*s + 602. What is the tens digit of s?
5
Let a = 417 - 226. Suppose 0 = -4*w - 43 + a. Sup