n. Let d = g + 82. What is the units digit of d?
7
Let q = 385 + -113. Suppose 2*r + 5*c = q + 111, 3*c = -r + 191. Suppose -r = 15*w - 17*w. What is the tens digit of w?
9
Let x(g) = 19*g**3 - 6*g + 5. Let d be x(1). Suppose -d*f = -13*f - 1715. What is the units digit of f?
3
What is the ten thousands digit of 15650 + -12 + 225/15?
1
Let u(j) = -16*j + 22. Let n(p) = 16*p - 22. Let h(t) = -4*n(t) - 3*u(t). Let x be h(-5). Suppose 690 = 9*o - x. What is the units digit of o?
8
Let a = 8 + 21. Suppose -3*k + a = -160. Let f = k - 58. What is the units digit of f?
5
Suppose 167*k = 91*k + 850592. What is the thousands digit of k?
1
Suppose -52*r + 63*r + 22 = 0. What is the hundreds digit of 11276/10 - 1/(5/r)?
1
Let i(h) = 5*h**2 - 30*h - 18. Let o be i(-19). Suppose 3*t = -2*v - 0*v + o, 3*v + 6 = 0. What is the hundreds digit of t?
7
Let i be 17 + 24/(-18)*-3. Let m = 46 + i. What is the units digit of m?
7
Let z(u) = -u**3 + 3*u**2 - u + 1. Let g be z(2). Suppose 33*i - 2359 = 3614. Suppose 3*a - 309 = -4*v, -4*v + g*a = -i - 158. What is the units digit of v?
1
Suppose 0*l - 102296 = -4*o + 5*l, 0 = -3*l - 12. What is the hundreds digit of o?
5
Suppose 288 = v + 280. Let h(s) = s**3 - 3*s**2 - 2*s + 3. What is the tens digit of h(v)?
0
Let r be -19 + 20 - (-2 + (1 - 1)). Suppose r*g - g + 2*f - 508 = 0, -4*g - 3*f + 1015 = 0. What is the hundreds digit of g?
2
Let w(g) = -15*g**2 + 19*g + 89. Let k(f) = -2*f**2 - f - 1. Let u(z) = 5*k(z) - w(z). What is the hundreds digit of u(22)?
7
Suppose -13*p = -0*p - 182. Suppose -13 = -9*u + p. What is the hundreds digit of (1474/33)/(1/u)?
1
Suppose -8*i + 152 = -528. Let l = 330 - i. What is the tens digit of l?
4
Suppose 0 = 9*f - 3*f - 36. Suppose -4*l = 3*h - h - 20, -3*h + f = 0. Suppose -315 = -k - l*k. What is the units digit of k?
3
Let m(o) = o**3 - 2*o**2 - 2*o - 1. Suppose -x = 5, 0 = -6*z + 3*z - 5*x - 28. Let c be m(z). What is the units digit of (c/6 - 0)/(1/(-3))?
1
Suppose 58*p - 159702 = 15*p. What is the units digit of p?
4
Let t = 125069 + -81545. What is the ten thousands digit of t?
4
Let f(l) = -2087*l**3 - 14*l**2 + l + 1. What is the ten thousands digit of f(-2)?
1
Let b = -6027 - -22623. What is the thousands digit of b?
6
Suppose 0 = 5*z - 1677 - 2608. Suppose -371*v + 372*v = z. What is the hundreds digit of v?
8
Let d(m) = -m**3 - 44*m**2 + 143*m + 59. Let j be d(-47). Let u = 253 - j. What is the hundreds digit of u?
2
Suppose 126 = -121*p + 127*p. Suppose p*w - 19*w - 58 = 0. What is the units digit of w?
9
Suppose 0 = -140*j + 63067 + 3290213. What is the units digit of j?
2
Let j be (6/45*6)/((-6)/15). What is the units digit of (4 + (-202 - -5))*j/1?
6
Suppose 18 = -8*b + 2. Let l(j) = -j**3 - 3*j**2 - 5*j - 4. Let q be l(b). What is the tens digit of q/((30/(-445))/(-3))?
8
Suppose 0 = -915*o + 478*o + 3450989. What is the units digit of o?
7
Let c(k) = 2*k**2 + 13*k - 18. Let u be c(-8). What is the hundreds digit of u + -6 + 45*8 - -2?
3
Suppose -11*x + 12*x - 9 = 0. Let b(v) = -v**2 + 7*v - 2. Let q be b(x). Let m(w) = -2*w**2 - 43*w + 41. What is the hundreds digit of m(q)?
1
Suppose -13*b + 30 = -9. Let r(l) = 215*l**3 + b*l - 1 - 4*l + 0*l**2 + 2*l - l**2. What is the tens digit of r(1)?
1
Let l(d) = -77*d + 52. Let x be l(-8). Let v = x + 286. What is the units digit of v?
4
Let o(w) = -99*w**3 + 38*w**2 - 19*w + 2. What is the tens digit of o(-4)?
2
Let s = -34783 + 52039. What is the thousands digit of s?
7
Let q(l) = -66*l + 110. Let a(u) = -13*u + 21. Let g(y) = 22*a(y) - 4*q(y). Let w be ((-14)/4)/((-4)/(-8)). What is the hundreds digit of g(w)?
1
Suppose 4*a + 528*y - 34580 = 524*y, -4*y = -a + 8640. What is the thousands digit of a?
8
Let c(g) = 5*g - 42. Let b be c(10). Let v(z) = 2*z**3 + 3*z**2 - z - 23. What is the units digit of v(b)?
5
Let q be 15/10*12/9. Suppose -3*a + q*y = 7, a + 12 = 3*a + 2*y. What is the units digit of 57/a + -2 + 4?
9
Let m = -3576 - -5817. Suppose 6*r - m - 2169 = 0. What is the units digit of r?
5
Let k(v) = -53*v**3 - 7*v**2 - 17*v - 22. What is the hundreds digit of k(-4)?
3
Let j(v) = 73*v**2 - 6*v - 12. Suppose -2*r + 14 = -9*r. What is the units digit of j(r)?
2
Let d = 8216 + 8883. What is the thousands digit of d?
7
Suppose -h - 1 = 0, -10*h - 77775 = -4*b - 7*h. What is the hundreds digit of b?
4
Suppose 4*q - 48904 = -3*h + 94497, 4*q + 191136 = 4*h. What is the thousands digit of h?
7
Let c(u) = 1163*u**2 - 8*u - 125. What is the units digit of c(-4)?
5
Suppose -65*k + 61*k + 89085 = 5*c, c - k = 17808. What is the units digit of c?
3
Let i(n) = 743*n**2 + 51*n - 14. What is the thousands digit of i(2)?
3
Let g(x) = -2*x**3 + 101*x**2 + 53*x - 601. What is the tens digit of g(49)?
9
Suppose 6 = 2*m, 4*p + 4*m - 3*m - 43 = 0. Let k(h) = -h**3 - 2 - 41 - p*h**2 + 4*h + 23*h**2. What is the hundreds digit of k(11)?
2
Let j(m) = 13*m**2 - 5*m - 17. Let z be j(12). Suppose 4*q + 291 = z. What is the units digit of q?
6
Let l = -13202 + 63018. What is the ten thousands digit of l?
4
Let d be -496*2/(-15) + (-32)/240. Let x = d + 640. What is the tens digit of x?
0
Let r = -335 + 243. What is the units digit of r/(-14) + -6 + (-5536)/(-14)?
6
Let z(o) = 25*o**2 + 81*o + 7. Suppose 4*b - 12 = -4*a, -3*b - 4*a = 4 - 12. What is the units digit of z(b)?
1
Suppose -c + 0 = j + 1, 3*j = -c + 7. Let m be (-15)/(-5) + -5 - j. What is the hundreds digit of m/((-30)/755) - 0?
1
Let f be (-256)/(-6)*(27/12)/1. Let u = f - 60. What is the units digit of (3 - u/10)/(2/(-30))?
9
Suppose -5*b - 7*y - 1953 = -4*y, -3*b = -4*y + 1195. Let n = b + 977. What is the units digit of n?
4
Let u(o) = 16 + 19 - 3 + 2*o. Let p(d) = d**2 + 20*d - 614. Let c be p(-37). What is the units digit of u(c)?
2
Let y be (0 - -1)/((-1)/15*-3). Suppose 0 = v, i - y*i - 5*v = 4. What is the units digit of 0 - (-29 + 1 - i)?
7
Suppose -2*k + 784 - 50 = 3*n, -5*k = -3*n + 706. Let z = -48 + n. What is the units digit of z?
4
Suppose -32909*h + 32926*h - 138278 = 0. What is the thousands digit of h?
8
Suppose -5*s - 4*v + 20530 = 0, -5*s + 9*v = 11*v - 20540. Suppose 4*q + 2*t = 3*q + 1021, 5*t = 4*q - s. What is the tens digit of q?
2
Let w(h) = -25*h - 13. Let m = -57 + 53. Let v be w(m). What is the units digit of 1/(-3)*2*v/(-2)?
9
Suppose -j - 2*j = -219. Let p = 9676 + -9671. Suppose p*x = 2*n - 348, n = 4*x + j + 98. What is the hundreds digit of n?
1
Let f = 22 - -1. Suppose 123 = 20*i + 43. Suppose -3*u + i*u = f. What is the tens digit of u?
2
Let s be (-2 + 1)/(4/(-20)). Suppose -2*k + 3*z = -942, -5*z - 2378 = -s*k - 9*z. Suppose -7*y + 3*y = 2*w - k, 15 = -5*w. What is the units digit of y?
0
Suppose -4*n = n, -4872 = 2*d + 5*n. Let r = d + 3505. What is the hundreds digit of r?
0
Let i be ((-13497)/(-9) - -5) + (-5)/(-15). Let j = i - 668. What is the hundreds digit of j?
8
Let a(i) = 3*i + 198. Let q be a(-11). Suppose -158*g = -q*g + 2058. What is the units digit of g?
4
Suppose 5*p + z = 99543, -4*z = 5*p - 0*p - 99537. What is the hundreds digit of p?
9
Suppose 3*y - g = 26068, -4*y - 14*g = -15*g - 34755. What is the hundreds digit of y?
6
Let s = -403 + 1375. What is the units digit of s?
2
Let v be (-3)/(((-8)/(-80))/((-4)/30)). Suppose -5*o - 2 - 1 = v*f, f - 2 = -4*o. What is the units digit of (f - 3)/((-2)/18)?
5
Suppose -15*a + 133230 = -58*a + 1400268. What is the units digit of a?
6
Let c be 1/(((-12)/15)/(-4)). Suppose -129 = c*x - 4*s, 0*s + 3 = 3*s. What is the hundreds digit of 628/5 - (-2 + (-40)/x)?
1
What is the ten thousands digit of (-3)/(-12) - ((-7)/(-3) + (-694778)/24)?
2
Let l(k) = 5*k**2 - 14*k + 1. Let n be l(-7). Let y = -120 + n. What is the hundreds digit of (-10)/(-2)*y/10?
1
Let k = 58 - 40. Suppose k*a = 14*a + 8. Suppose -b + 37 = -a. What is the tens digit of b?
3
Suppose -3*k + 8*k - 2*g = -23, -3*k - 20 = 5*g. Let d(z) = -14*z - 18. What is the tens digit of d(k)?
5
Let a = 26 + -24. Let p be 1 - -4 - (a + 0). Suppose -p*c = 2*c - 260. What is the tens digit of c?
5
Suppose 773*n + 78732 = 785*n. What is the thousands digit of n?
6
What is the thousands digit of (1443897/52 - 3/(-4)) + -5?
7
Suppose 0 = 4*s + 22007 - 64756 - 45631. What is the tens digit of s?
9
Let z(q) = -5*q**2 - 83*q + 19569. Wh