7. Let r = -227 - k. What is the tens digit of r?
1
Let x(p) = 8*p - 67. Let l be x(-23). Let y = 312 + l. What is the tens digit of y?
6
Let b(k) be the first derivative of 2*k**3 - 20*k**2 + 112*k + 82. What is the units digit of b(14)?
8
Let t(k) = -179*k - 32. Let x be t(-4). Suppose -x + 130 = -2*j. Suppose 3*n = j + 11. What is the tens digit of n?
9
Let k = -15875 + 23199. What is the tens digit of k?
2
Suppose 0 = -3*s - b + 12006, 0 = -17*b + 20*b. What is the tens digit of s?
0
Suppose 56 = 5*h - 49. Suppose 5*c - 1 = -h. Let s(p) = -20*p - 2. What is the units digit of s(c)?
8
Let r be 11/((-66)/5) + 5/6. Suppose r = -2*g + 4 + 238. What is the hundreds digit of g?
1
Let u(o) = -39*o**3 + o**2 - 4*o - 3. Suppose 3*h = 2*b + 19, 4*b + 3*h + 2*h = 17. What is the units digit of u(b)?
1
Let g be ((-10526)/(-5) - (9 + -13))*20. What is the units digit of (-2)/21 - g/(-168)?
1
Suppose 58*p - 50*p - 2088 = 0. Let q = p + -193. What is the units digit of q?
8
Let n(y) = 31*y**2 + 3*y + 14. Let q be n(-5). Suppose 0 = -2*c - 4*g + 2 + q, -5*g = -4*c + 1500. What is the hundreds digit of c?
3
Let c(t) = 3*t - 15. Let h(b) = 2*b - 8. Let m(k) = -6*c(k) + 11*h(k). Let y be m(5). What is the units digit of 1419/y - (-1)/2?
5
Let a(i) = -9 - 7*i**2 + 21 - i**3 + i + 3*i - 4*i**2. Let k(j) = j**3 + 12*j**2 - 4*j - 13. Let w(p) = -5*a(p) - 4*k(p). What is the tens digit of w(-5)?
6
Let o(i) be the first derivative of 7*i**4/12 + i**3/3 - 3*i**2/2 + 21*i - 10. Let l(d) be the first derivative of o(d). What is the hundreds digit of l(-4)?
1
Let u be 7*306/546 - (-1)/13. Let h(w) = 5*w**2 - 3*w + 1. Let p be h(-4). Suppose -u*m + p = 1. What is the tens digit of m?
2
Let c(a) be the second derivative of -11*a**5/20 + a**4/12 - 4*a**3 + 22*a. Let m(q) be the second derivative of c(q). What is the tens digit of m(-1)?
6
Let o = 169 - 121. Let t = 414 - o. What is the tens digit of t?
6
Let x(t) = 22253*t**3 + 10*t**2 + 6*t - 17. What is the ten thousands digit of x(1)?
2
Let p = -6938 - -13197. What is the hundreds digit of p?
2
What is the thousands digit of (1020/110)/17 + 723524/22?
2
Suppose 12*b + 128 = 13*b. Suppose -b*s - 600 = -138*s. What is the units digit of s?
0
Suppose -4*x + 2*l - 3*l = -14744 - 1768, 0 = -3*l. What is the thousands digit of x?
4
Suppose 2*b = -101*c + 99*c + 167218, 83609 = b - 9*c. What is the ten thousands digit of b?
8
Let z be 6 + 15/(-7) - (-1)/7. Suppose 0 = z*s - 4*r - 792, -6*r - 10 = -8*r. What is the tens digit of s?
0
Suppose 8*s = 6*s + 128. Let z = s + -59. Suppose 0*n - 257 = -2*w - n, -2*w + z*n = -227. What is the units digit of w?
6
What is the units digit of (-29 - 2135)/(-3 - (-460)/156)?
8
Let j(o) = -2*o**3 - 3*o**2 - 9*o. Let q be j(-6). Let m be q/99 - (-4)/22. Suppose 2*w + 3*i = 5*w - 210, -275 = -m*w + 5*i. What is the tens digit of w?
7
Let a(b) = 2*b**3 - b + 3. Let n be a(-4). Let q = n + 122. What is the hundreds digit of (62/4)/(3/42)*q?
2
Suppose 10557 = g + 3*v, -9*v = -5*g - 7*v + 52887. What is the tens digit of g?
7
Let t(z) = -18650*z + 1931. What is the ten thousands digit of t(-4)?
7
Let a = 1729 - -6432. What is the hundreds digit of a?
1
Let a = 8454 + -2856. What is the tens digit of a?
9
What is the ten thousands digit of 4/40 + 61059*138/180?
4
Suppose 4*k = 4*m + 28, 9 = -0*k + 3*k + m. Let j be -53 - (-12)/k*1. What is the tens digit of (-9 + j)/(0 - 1)?
5
What is the tens digit of (8 + (-17 - -10))*8147?
4
Let n(h) = -1016*h + 4*h**2 - 34 + 20*h**2 + 1022*h + h**3. Let b be n(-21). Suppose 5*p - 4*f = 200 + 948, -5*p - f = -b. What is the hundreds digit of p?
2
What is the hundreds digit of (7 - (-35)/(-2))*(-9)/(81/3786)?
4
Let h = 4200 + 9578. What is the ten thousands digit of h?
1
Suppose w - 3*w = 14. Let s(k) = 6*k**2 + 17*k + 6. Let o be s(w). Suppose c - 186 = -4*n + o, 464 = 5*n + 3*c. What is the tens digit of n?
9
Suppose -194*x - 10333990 = -829*x. What is the hundreds digit of x?
2
What is the hundreds digit of (2 - 4 - 352)*(-142)/12?
1
Let s(x) = 2580*x + 239. Let r be s(7). Suppose 0 = -23*i + r - 474. What is the hundreds digit of i?
7
Let h(u) = -1018*u + 68. Let x be h(-11). Suppose -1054 = -14*d + x. What is the units digit of d?
0
Suppose -3*r = 3, 3*y - 3*r + 5 = 2. Let a be (6 + y + -4)/(-1). Suppose a = -4*b + u + 683, 879 = 5*b - 3*u + 27. What is the units digit of b?
1
What is the units digit of 2*9 + (-10486000)/(-490)?
8
Suppose 21*k = -12504 - 50685. Let i = k + 4836. What is the hundreds digit of i?
8
Let f = 56 + -123. Let m = -44 + f. Let s = 273 + m. What is the hundreds digit of s?
1
Suppose 53*i - 4423 = 43118. What is the hundreds digit of i?
8
Let n(o) = -313*o - 1375. What is the units digit of n(-33)?
4
What is the thousands digit of 3 + (-2)/(-14)*-1 + 969152/112?
8
Suppose -14 = -10*c + 6. Suppose 803 = 2*g + b, g + 4*b = c*g - 424. What is the units digit of g?
4
What is the hundreds digit of 3 + 1232 + (2 + -7 - 3)?
2
Let p(i) = 8*i**2 + 7*i - 4. Let o(d) = 7*d**2 + 8*d - 3. Let a = 40 - 43. Let y(v) = a*p(v) + 4*o(v). What is the units digit of y(-7)?
9
Let k = 290 + -285. Suppose 0 = k*j - 2467 + 52. What is the hundreds digit of j?
4
Let h = -13 + 24. Suppose -15*q + h*q = -8. Suppose -3*c + 12 = 0, -x - 7*c + 218 = -q*c. What is the hundreds digit of x?
1
Suppose 3*f + f - 96 = 0. Let v(l) = -2*l**3 - 5715*l + 3*l**3 - 24*l**2 + 5716*l + 12. What is the tens digit of v(f)?
3
Suppose 0 = -3*u + 5*i + 5, 2*u - i - 2 = -1. Suppose u*n - n - d = -5, 3*n - 20 = -4*d. Suppose -9*m + 5*m + 848 = n. What is the tens digit of m?
1
Suppose -3*u = 3*t + t - 11, -5*u + 13 = 4*t. Let j(s) = -3 + 17*s**t + 3*s - 4*s**2 - s**3 + 9*s - 6*s**2. What is the tens digit of j(8)?
2
Let j = 2737 - 5044. Let u = j + 3417. What is the tens digit of u?
1
Let b be (-1*6)/((-3)/(12 + -9)). Suppose -8*u + 560 = -b*u. What is the hundreds digit of u?
2
Let x be 7356/(-7) - (-150)/175. Let i = x + 2033. What is the tens digit of i?
8
Suppose -437*v = -403*v - 525640. What is the ten thousands digit of v?
1
Let d = -104 + 5944. What is the units digit of d?
0
Let b be (33/44)/((-6)/(-16)). Suppose 0 = -b*m + 68 + 714. What is the hundreds digit of m?
3
Let c(s) = -2 + 10*s + 16 + 6*s. Suppose 396*p - 401*p - 3*q + 25 = 0, p - q = -3. What is the units digit of c(p)?
6
Let y(j) = -2367*j - 906. What is the tens digit of y(-11)?
3
Let f(o) = 671*o**2 + 265*o + 298. Let k(p) = 134*p**2 + 53*p + 59. Let c(t) = -2*f(t) + 11*k(t). What is the hundreds digit of c(-1)?
1
What is the units digit of ((-42366)/(-48) + -7)*8?
5
Suppose 3*q - 1320282 + 5346798 = 81*q. What is the hundreds digit of q?
6
Let m be (1 + 14)*1 - 3. Suppose 0 = 3*g - 3 - m. Suppose -g = 2*j - 3*j, 0 = -5*d - 2*j + 145. What is the tens digit of d?
2
Suppose 0 = 9*s - 14*s + 170. What is the hundreds digit of (-37 + s)/(1/(-210))?
6
Let f(s) = -221*s - 7. Let u(w) = -222*w - 8. Let x(a) = 6*f(a) - 5*u(a). What is the hundreds digit of x(-1)?
2
Let p(h) = -129*h - 35 - 3*h + 232*h. What is the units digit of p(5)?
5
Suppose 150*g - 85*g = -3120. Suppose 0*o + 3*o - 4*h - 507 = 0, -h - 3 = 0. Let l = o - g. What is the hundreds digit of l?
2
Suppose 17*y = 14*y - 9. Let v be ((-2)/y)/(-3*(-1)/117). Let t = v + 37. What is the tens digit of t?
6
Let f(r) = 188*r**2 - 29*r + 18. What is the hundreds digit of f(-6)?
9
Let h(c) = -c**3 + 2. Let j be h(2). Let p(u) = -11*u - 189. Let n(g) = 10*g + 160. Let s(y) = -6*n(y) - 5*p(y). What is the tens digit of s(j)?
1
Let l = -1747 + 2681. Suppose -226*h = -224*h - l. What is the tens digit of h?
6
Let u = 11 - 9. Let q be u - 0 - (-10 - -135). Let n = -88 - q. What is the units digit of n?
5
Let g = 353 - 353. Suppose 22 = a - 3. Suppose g = -p - 8 + a. What is the tens digit of p?
1
What is the units digit of (-1 - -4) + 10520 + -11 + 10?
2
Let b(y) = 129*y - 81. Suppose -2*k = -v - 11, 23 = 7*k - 3*k - 3*v. What is the units digit of b(k)?
4
Let q(v) = -2*v**3 + v**2 + 15*v - 5. Let h(d) = 2*d**3 - d**2 - 18*d + 6. Let o(x) = 3*h(x) + 2*q(x). What is the hundreds digit of o(8)?
7
Let p(g) = 27*g**2 + 51*g - 482. What is the tens digit of p(24)?
9
Suppose 103*k = 105*k + 404. Let s = k + 405. What is the hundreds digit of s?
2
Let n(d) = d**3 - 8*d