t n = 389 + v. What is the units digit of n?
3
Let b = -76 + 76. Suppose 11*a - 1012 - 1276 = b. What is the tens digit of a?
0
Let g(q) be the first derivative of -q**2 + 18*q + 2. Let o be g(8). Suppose 15 = -o*h + 47. What is the units digit of h?
6
Let s(g) = 901*g**2 + 248*g - 35. What is the hundreds digit of s(-7)?
3
Suppose 0 = -27*m + 30*m + k - 5501, -3*k = 3*m - 5511. What is the tens digit of m?
3
Let w = -75 - -83. Suppose w = 21*a - 19*a. Suppose 4*m + 100 = 2*x, -a*m + 70 = 2*x - 70. What is the units digit of x?
0
Let s(l) = 5*l**2 + 60*l + 336. What is the tens digit of s(43)?
6
Suppose -53*p = -56398 - 259217. What is the tens digit of p?
5
Let d(l) = 20*l**2 + 4*l - 3. Let y be d(1). Let g be (4/((-16)/(-6)))/(y/154). What is the hundreds digit of 1982/g - (-20)/(-110)?
1
What is the thousands digit of -6 + (4/((-80)/(-327058)) - 5/(-50))?
6
Let n(l) = 2054*l**3 - 5*l**2 - 9*l + 20. What is the tens digit of n(2)?
1
Let d = -2405 + 4089. What is the tens digit of d?
8
Let t = 29945 + -19259. What is the ten thousands digit of t?
1
Let z(n) = -n**2 + 4*n - 3. Let k be z(3). Suppose 0 = 5*b + 3*h - 4*h - 19, k = -5*h + 5. Suppose 252 + 244 = b*c. What is the tens digit of c?
2
Let l(p) = -p**3 - 8*p**2 + 9*p. Let r be l(-9). Suppose r = z - 23 + 63. What is the tens digit of 24/z - (-128)/5?
2
Let c(z) be the first derivative of 12*z**2 - 8*z - 14. Let x(o) = 5*o**2 + 8*o - 9. Let w be x(1). What is the units digit of c(w)?
8
Suppose -99*v + 126916 + 1575983 = 0. What is the thousands digit of v?
7
Let s = -99 - -92. Let k(c) = 2*c**3 + 2*c**2 - c - 4. Let l(t) = 5*t**3 + 4*t**2 - 2*t - 6. Let b(r) = s*k(r) + 3*l(r). What is the tens digit of b(0)?
1
Let v(r) = -r**3 - 5*r**2 - 4*r - 9. Let n be v(-5). Let o = -22 + n. Let u(k) = -k**2 - 23*k - 1. What is the hundreds digit of u(o)?
1
Let q = -291 + 127. Let m = q - -235. What is the units digit of m?
1
Suppose -276*p + 273*p = -3*k - 2661, 0 = 5*k - 20. What is the units digit of p?
1
Let m = 3483 + 3049. What is the thousands digit of m?
6
Let p = -6893 + 42863. What is the tens digit of p?
7
Suppose -k + 31*m = 26*m - 4933, 5*k - 24761 = m. What is the hundreds digit of (k/(-12))/((-4)/(-32)*-2)?
6
Let z(o) = -2*o**3 + 114*o**2 - 90*o - 81. What is the tens digit of z(55)?
6
Suppose -5*l = -2*z - 1409, 33*l - 1424 = 28*l - 3*z. What is the units digit of l?
3
Suppose v = 3 + 1. Suppose 4*i - 5*a + 2*a = 3, -2*i = -v*a - 4. Suppose -11*w + 9*w + 102 = i. What is the units digit of w?
1
Let q(c) = 29*c**2 - 43*c - 705. What is the tens digit of q(38)?
3
Let r be -4 + 0 - 477/(-1). Let q = 1514 - r. What is the hundreds digit of q?
0
Let m be (-1 - -95 - -2) + -1 - 0. Suppose 2*u - m = -5*l, 8*l = -3*u + 4*l + 139. What is the units digit of u?
5
Suppose 0 = -5*q - 3*t + 28053, 2*q + 2*t + 2*t - 11210 = 0. Suppose -4*r - 3*f + q = -4*f, r = 5*f + 1408. What is the thousands digit of r?
1
Suppose -5*t + 11020 = -2*t + 4*f, -5*t + 4*f + 18356 = 0. Suppose -82*u + 88*u - t = 0. What is the hundreds digit of u?
6
Let p(w) = 2*w**2 + 24*w + 30. Let z be p(-7). Let f = -51 + 113. Let n = f + z. What is the units digit of n?
2
Let o(b) = b**2 + 52*b + 50. Let z(j) = 53*j + 52. Let p(l) = 4*o(l) - 5*z(l). What is the units digit of p(25)?
5
Suppose 9*b - 80 - 37 = 0. Suppose 4*u + b = -a + 2*a, -19 = -a + u. What is the units digit of a?
1
Suppose 320 + 1591 = -2*p - f, -5*f - 3813 = 4*p. Let m = -538 - p. What is the tens digit of m?
1
Suppose 5*p + 3*k = 16, -2*p + 18 = 3*p + 4*k. Suppose 5*m + 38 - 196 = -p*n, 0 = 5*m + 10. What is the tens digit of n?
8
Suppose 22*r - 5*v - 35362 = 19*r, 2*v = r - 11789. What is the ten thousands digit of r?
1
Suppose -5*s - 8120 = -13*s. Suppose -4*j + 3*p + s = 0, -j - j - p = -495. What is the units digit of j?
0
Suppose -4*d - 5*s + 12218 = 0, -6110 = 2*d - 4*d - 3*s. What is the tens digit of d?
5
Let a(n) = n - 4. Suppose 6 = 2*m - 4*f, -2*m = -0*m - 3*f - 8. Let s be a(m). Suppose -p + 3*k + 65 = 0, s*p = -k - 4*k + 167. What is the tens digit of p?
5
Let m be (-40)/(-8)*(1 - 43)/2. Let k = m - -168. What is the tens digit of k?
6
Let h = 136 + -139. Let n(j) = -10*j**3 - j**2 + 3*j - 1. What is the hundreds digit of n(h)?
2
Let l(w) be the first derivative of 5*w**4 - w**3/3 + 2*w - 1. Suppose 28 - 36 = -4*b. What is the units digit of l(b)?
8
Suppose -5*j = 18*i - 13*i - 217255, -4*i = 2*j - 86888. What is the units digit of j?
8
Suppose 5843606 = 4462*a - 4328*a. What is the units digit of a?
9
Let h(p) = -7*p**3 + 35*p**2 - 125*p - 24. Let s(a) = -11*a**3 + 52*a**2 - 187*a - 36. Let j(b) = -8*h(b) + 5*s(b). What is the units digit of j(16)?
8
Let q(i) = -3*i - 3. Let d be q(-1). Suppose d = 16*t - 11*t. Suppose t = -h + 41 + 75. What is the tens digit of h?
1
Let k = 698 - 253. Suppose -438*b = -k*b + 4501. What is the hundreds digit of b?
6
Let p(y) = -y**2 - 5*y - 2. Let s be p(-1). Suppose -4*d + 5*n = -0*d - 1609, s*d - 787 = -n. What is the hundreds digit of d?
3
Let i = -86 + 80. Let g = i - -12. Suppose 3*k - g*k + 681 = 0. What is the units digit of k?
7
Let s(a) = -a**3 + a**2 - 15*a - 13. Let h be 9/6*2/6*-14. What is the hundreds digit of s(h)?
4
Suppose -3*o = -p - 77, 1 = 2*o - 2*p - 53. Let n = -11 + o. Suppose 0 = 13*h - n*h + 16. What is the units digit of h?
6
Let a be -4 - (-1 - -147) - 1. Let z = 181 + a. What is the units digit of z?
0
What is the units digit of (-1 - (-36)/4) + 2428?
6
Let l be 12/(-60) + 11592/10. Suppose 0 = -6*m - 409 + l. What is the tens digit of m?
2
Let z be 0 + (-20984)/(-24) + (-2)/6. Suppose z = 37*d - 32*d - 2*c, 0 = -4*d - 3*c + 690. What is the tens digit of d?
7
Let f = 13648 + -5607. What is the thousands digit of f?
8
Let p(h) = 89*h**2 + 81*h + 39. What is the thousands digit of p(-18)?
7
Let t be (-4)/2*1*-14. Let v be (-358)/(-14) + ((-212)/t - -7). Suppose -v - 53 = -x + 4*r, -5*r = -10. What is the tens digit of x?
8
Let x be (3/(-6)*0)/1. Suppose -25 = -5*c, 2*j + x*c = -c + 217. What is the tens digit of j?
0
Let r(i) = -i**3 - 34*i**2 - 37*i - 35. Let o be r(-33). Suppose -5*j = d - 764, 5*d - o = -j + 75. What is the units digit of j?
2
Let k = -7 + 11. Suppose -k*f = -5*d + 89, -4*d + f = -0*f - 69. Suppose -t - d + 56 = 0. What is the units digit of t?
9
Suppose 5*b = 2*d + 56664 + 514, -3*b + 4*d = -34304. What is the thousands digit of b?
1
Suppose -4*i + 40 = 16. Suppose 44 = -5*h - i. What is the units digit of (-26)/h + 3 + (-2)/(-5)?
6
Suppose 5*c + 4*l - 14280 - 1586 = 0, 3178 = c - 4*l. What is the hundreds digit of c?
1
Let x(n) = n**2 - 2. Suppose -3*u = 2*w + 3 - 1, u - w + 4 = 0. Let m = 1 - u. What is the units digit of x(m)?
7
Let w(j) = j**3 - 25*j**2 - 19*j - 23. Let x be w(28). Suppose -1623 - x = -6*b. What is the hundreds digit of b?
5
Suppose 49*a = 146*a + 20*a - 1565343. What is the tens digit of a?
7
Let d be 14/(-49)*-7 - -2. Suppose 0 = -d*s - 12, -5*k + 3*s = 6*s - 1461. What is the hundreds digit of k?
2
Let y(q) = 846*q - 790. What is the thousands digit of y(9)?
6
Let w = -338 - -478. Let j = -31 + w. What is the tens digit of j?
0
Let k = 186 - 182. Suppose -3*l + a + 1044 = l, -3*a = k*l - 1044. What is the units digit of l?
1
Let i(l) = -l**3 - 25*l**2 + 19*l - 71. What is the tens digit of i(-34)?
8
Suppose 248*l - 110*l = 98*l + 795880. What is the hundreds digit of l?
8
What is the units digit of 36354/9*(4/12)/((-3)/(-27))?
8
Suppose -5*v + 6002 = 4*l, -768*l - v + 7492 = -763*l. What is the thousands digit of l?
1
Let a(t) be the second derivative of -t**5/4 - 3*t**4/4 - 3*t**2/2 - 221*t. Suppose 2*v = 6*v + 16. What is the hundreds digit of a(v)?
1
Let l(h) = -h**3 - 7*h**2 - h - 5. Let x be -19 + 15 - 1*3. Let n be l(x). What is the hundreds digit of ((-165)/2)/((-1)/n)?
1
Let v = 132 + -245. Let q = 479 + v. What is the hundreds digit of q?
3
Suppose -879 = -k + 3*i, 2*k - 1748 = -0*k - 4*i. Let u = k + -375. What is the units digit of u?
1
Suppose -3*y = 2*y - 5*s - 5, -5*y + 4*s + 2 = 0. Let g(v) = -v**2 - v + 2. Let l be g(y). Suppose l = 13*j - 3088 + 176. What is the hundreds digit of j?
2
Let c be 544/3 + 13/(39/(-4)). Suppose 4*f = 5*k - 216 - 670, -c = -k - 2*f. What is the hundreds digit of k?
1
Suppose 11*i + 6384 = 19