- 2193 = 0. What is the tens digit of b?
4
Let f(b) = -b + 8. Let y be f(3). Suppose -2*a + 3*r = 2*r - 282, 0 = -a + y*r + 150. What is the hundreds digit of a?
1
Suppose 2*j = 2*u + 4, -5 = -4*u + 3. Suppose 4*k = -j*r + 44, 2*k = -0*k. Suppose -4*y + r = -33. What is the units digit of y?
1
Suppose 8*v - 5*v - 1658 = -m, 0 = -5*v - 2*m + 2765. What is the tens digit of v?
5
Suppose -26*x + 8004 = 3*x. What is the hundreds digit of x?
2
Let y = -2951 - -6634. What is the thousands digit of y?
3
Let d = 354 + -83. Let m = d - 144. What is the hundreds digit of m?
1
Let p be (15/(-10))/((-15)/530). Suppose -r = -0*r - 3*c - p, 0 = r + 3*c - 83. What is the units digit of r?
8
Let q be (-652)/5 - 2/(-5). Let b = q + 313. Suppose 6*l = 3*l + b. What is the tens digit of l?
6
Let w(t) be the first derivative of t**3 + t**2/2 + 4*t - 2. What is the tens digit of w(3)?
3
Let n(i) = -35*i. Suppose 102 = 3*w - 3*s, -w = -0*w + 5*s - 28. Suppose 0 = 4*b + 5*f + w, -5*f + 1 - 24 = -b. What is the tens digit of n(b)?
7
Let q = -14 + 16. Let l(i) = 3*i**3 - 17*i**q - 2*i + 6 + 11*i**2 - 4*i**3. What is the units digit of l(-6)?
8
Let h(b) = -b**3 - 5*b**2 - 3*b - 8. Let l be h(-5). What is the units digit of 187/l - 4/(-14)?
7
Let d be (0 - 5)*(-24)/10. What is the tens digit of ((-57)/d)/(2/(-16))?
3
Let c be 6/12 + (-53)/2. Let h = 30 + c. What is the units digit of h?
4
What is the hundreds digit of 21294/84*-3*4/(-18)?
1
Suppose -21*t - 66 = -27*t. Let z = t - -139. What is the hundreds digit of z?
1
Let b(k) = k**2 - 2*k - 11. Let f be b(5). Suppose 0*l - f*l + 260 = 0. What is the units digit of l?
5
Let r = -403 + 592. Suppose 0*g - 396 = -2*g + 2*f, g + 2*f = r. What is the hundreds digit of g?
1
Let h = -39 + 94. What is the units digit of h?
5
Let q(g) = 8*g**2 - 3*g + 3. Suppose 0*f - 2*f + 16 = 0. Let u be (f/12)/((-2)/(-6)). What is the tens digit of q(u)?
2
Suppose 0 = -3*w + 37 - 1. Suppose 0 = -5*j + 6*j + w. Let c = 39 + j. What is the tens digit of c?
2
Suppose 2*n = 2*a - 26, -n + 5*a - 41 = 2*n. Let b be (n/10)/(3/20). Let k = 21 + b. What is the units digit of k?
3
Let q(z) = -108*z + 667. What is the thousands digit of q(-12)?
1
Let p be -3*(-3)/(-3) + -29. Let w be (-240)/p + (-1)/2. Suppose y + 366 = w*y. What is the units digit of y?
1
Let t(c) be the second derivative of 2*c**3/3 - 9*c**2 + c. What is the units digit of t(6)?
6
Let d = 14 + -11. Suppose d = -2*x - x. What is the units digit of 10*(x - (3 + -5))?
0
Let c(d) = 2*d**2 + 5*d + 29. What is the tens digit of c(-13)?
0
Suppose -3*m + 164 - 11 = 0. Let z be (m/6)/(5/30). Suppose 5*s - z = 69. What is the units digit of s?
4
Let v be (-469)/42 + 1/6. Let h = v - -15. Let q = 5 + h. What is the units digit of q?
9
Let i(v) = 62*v**3 + 5*v**2 - 48*v + 192. What is the thousands digit of i(4)?
4
Suppose 8 = 4*u, 4*u - 3*u - 1 = q. Let x be 12/(-9)*q*12. What is the units digit of (-2*1)/(1/x)?
2
Let m(p) = p**3 - 13*p**2 - 16*p + 26. Let o be m(14). What is the units digit of -1826*o/20 - 4/(-10)?
3
Let k be (-2)/11 + 119/(-11). Let f = k + 10. What is the units digit of (f - 1/(-1)) + 1?
1
Let i(j) = j**3 - 12*j**2 + 5*j. Let y be i(11). Suppose -2*x - 6 + 228 = 0. Let m = y + x. What is the units digit of m?
5
Let h(n) = -3*n**3 - 2*n**2 - 2. Suppose 3*p + 14 = -0*p - 4*r, -2*r - 14 = 5*p. What is the units digit of h(p)?
4
Suppose 4*j + 4*h - 199 + 55 = 0, 3*j = -2*h + 104. Suppose 35*p - j*p = 0. Suppose p = -0*t + t - 24. What is the tens digit of t?
2
Let v(j) = 21*j - 5. Let g be v(3). What is the units digit of (5 - 4) + (g - 1)?
8
Let k be (((-6)/(-3))/(-2))/(1/(-4)). Suppose 2*f - 246 = 5*g, 2*f + k*g = 2*g + 260. What is the hundreds digit of f?
1
Let z(x) = -x**3 - x**2 - 12*x + 12. What is the tens digit of z(-11)?
5
Let s(p) be the third derivative of p**5/30 + 5*p**4/24 - p**3/6 - 47*p**2 - 2. Let w be 34/8 + 2/(-8). What is the units digit of s(w)?
1
Suppose -3*i = -5*h - 2025, 18*h + 2028 = 3*i + 14*h. What is the tens digit of i?
8
Let r(c) = -c**3 + 8*c**2 + 7*c + 6. Let d(h) = -h**3 - 6*h**2 - 5*h + 5. Let q be d(-5). What is the hundreds digit of r(q)?
1
Let w = 166 - 105. Let r = -22 + w. Suppose r = 2*i + i. What is the units digit of i?
3
Let z(u) = 12*u**3 - 10*u**2 + 4*u + 52. What is the units digit of z(8)?
8
Let q = 1936 - -243. What is the thousands digit of q?
2
Suppose -5*y = -15 - 0. Suppose 0 = y*q + 11 - 26. What is the units digit of q?
5
Let k = -134 + 127. Let f(v) = -v**2 - 4*v + 30. What is the units digit of f(k)?
9
Let d(w) = w**3 - 35*w**2 + 49*w + 201. What is the thousands digit of d(37)?
4
Let f be ((-4)/6)/((-18)/135). Suppose 199 = f*s + 4*p, 5*s - p - 194 = -0*p. Let y = -23 + s. What is the units digit of y?
6
Let f(t) = 46*t**2 - 5*t - 14. What is the tens digit of f(-5)?
6
Let j(c) = c**2 - 15*c + 16. Let f be j(14). What is the tens digit of ((f/(-4))/(2/(-292)))/1?
7
Suppose k - 5*v = 42, 4*k - 3*v - 166 = -k. Suppose 4*i = 2*c + k, i + 4 = -i - 4*c. Suppose 17 = -i*t + 7*t. What is the units digit of t?
7
Let b be (2 - 1)*19*1. Let g be ((-1)/(-2))/((-5)/170). Let t = g + b. What is the units digit of t?
2
What is the tens digit of -6*(-102*(-3)/(-12) + 7)?
1
Let u(c) = -c**2 + 12*c - 9. Let w be u(11). Suppose 2*t - 4*t = w*r - 418, -832 = -4*r - 2*t. What is the units digit of r?
7
Suppose 2*u - 4*w = -w + 117, 4*u - 5*w = 237. What is the tens digit of u?
6
Suppose -k = 2*k + 5*o + 19, 0 = -4*k - o - 14. What is the hundreds digit of k*(-2)/(-3)*-74?
1
Let q(p) be the third derivative of p**6/120 + 2*p**5/15 - 13*p**4/24 - p**3/2 - 7*p**2. What is the units digit of q(-9)?
3
Let l(r) = -r**3 + 0*r**2 - 5*r + 5 - 13*r**2 - 27. What is the units digit of l(-13)?
3
Let y = -515 - -776. What is the tens digit of y?
6
Let c(y) = -y - 6. Let g be c(-13). Suppose 4*q + g - 19 = 0. Suppose q*i = -2*i + 40. What is the units digit of i?
8
Let x(n) = 2*n**2 + 7*n + 2. Let s be x(-3). Let q(u) = 95*u**2 - 3*u - 1. What is the units digit of q(s)?
7
Suppose 5*b - 7 = -2*r, -4*r + 2*b - 6*b = -8. Suppose 2*x - 6*x = -8. Let a = x - r. What is the units digit of a?
1
Let o = 556 - 347. What is the tens digit of o?
0
Let h(m) = -m**3 + 51*m**2 + 40*m - 56. What is the hundreds digit of h(51)?
9
Let n(x) be the third derivative of x**5/15 + x**4/8 - x**3/6 + 22*x**2. Let a be 0/(-4) - (4 + -2). What is the units digit of n(a)?
9
Let b = -57 + 88. What is the units digit of b?
1
Let v(y) = 23*y**3 - 2*y**2 + 1. Let w be v(1). Suppose 2*m = 36 + w. Let g = 83 - m. What is the tens digit of g?
5
Suppose 3*p = 4*x + 406, 5*p + 5*x - 169 = 461. What is the hundreds digit of p?
1
Let b(o) = 55*o**2 - 5*o + 1. Let i(f) = 55*f**2 - 4*f + 1. Let j(r) = -4*b(r) + 5*i(r). What is the tens digit of j(-1)?
5
Let l(g) = 3*g**2 - 13*g + 195. What is the tens digit of l(-21)?
9
Let g(m) be the first derivative of m**3 + m**2/2 + 2*m + 8. What is the tens digit of g(5)?
8
Let v = 248 + 4321. What is the units digit of v?
9
Suppose 2*o = -b + 2, -o = -4*o + 9. Let d = b + -7. Let x(t) = -3*t + 20. What is the units digit of x(d)?
3
Let x = 14 - 21. Let k be x + 4 + 5 - -106. Suppose 0*p - 2*p + k = 0. What is the units digit of p?
4
Suppose -2*x - 4 = -7*x + 4*v, -2 = 2*v. Suppose 0 = -x*l + l - 24. What is the tens digit of l?
2
Suppose -5*u - m + 2*m = -1698, -u = -2*m - 345. What is the tens digit of (3 - u/(-9))*3?
2
Let b be (6/(-9))/(2/(-15)). Suppose 0 = b*q - 20, 0 = s + 4*q + 144 - 429. Suppose -5*o = 104 - s. What is the units digit of o?
3
Suppose 5*m + 3 + 42 = 0. What is the tens digit of 3*(42/m)/(-1)?
1
Let a = -38 - -40. Let n(s) = -4 - 8 - 8*s + 0 + s**a. What is the units digit of n(-5)?
3
Let q be 24*((-6)/33 - 82/(-88)). Let p(s) = s**3 + 4*s**2 - 4*s + 2. Let n be p(-5). What is the units digit of ((-2)/4)/(n/q)?
3
Suppose -3*x + 4*u + 2680 = -193, 0 = -4*x - 3*u + 3789. What is the hundreds digit of x?
9
Suppose 0 = 4*i - o - 65, -i - 52 = -4*i + 4*o. Suppose 0 = i*p - 13*p - 15. Suppose p*l + 3*m - 229 = 0, -5*m - 113 = -4*l + 48. What is the tens digit of l?
4
Let s(h) = 451*h**2 - 1. Let z be s(1). What is the tens digit of 11/(-44) + z/8?
5
Let z = 10 - 10. Suppose z = -4*v + 10*v + 30. What is the units digit of 2*(3 +