uppose -2*z + 2356 = -c*t, -3*z + 0*t = -2*t - 3534. What is the thousands digit of z?
1
Suppose -4*p = 6*y - y - 340, 5*p = 4*y + 466. Let j be (p/(-50))/(1/(-55)). Suppose 504 - j = 5*c. What is the units digit of c?
1
Let x = -67 + 72. Let b(h) = -2*h**2 + 2*h + 6. Let t(v) = v**2 - 1. Let k(p) = b(p) + 5*t(p). What is the units digit of k(x)?
6
Let g = -4932 - -6948. What is the units digit of g?
6
Suppose -2*p = 3 - 11. Suppose 0 = d + p*a - 9*a - 133, -5*d + a = -641. What is the hundreds digit of d?
1
Let y be (2 - 1 - 0)*536/1. Suppose -y = -5*a + 3*a. Let q = a - 163. What is the hundreds digit of q?
1
Suppose 29*m - 24*m = 20. Suppose 0 = -7*z + 47 - 19. Suppose -z*p + 368 = 2*j + 30, -j = m*p - 161. What is the hundreds digit of j?
1
Let s(t) = 31*t**2 + 179*t + 22. What is the units digit of s(-35)?
2
Suppose -4*k = 2*q - 37368, -q = 121 - 117. What is the thousands digit of k?
9
Let o(v) be the first derivative of 4*v**3 + 5*v**2/2 + 3*v + 6. Let w(s) = 23*s**2 + 11*s + 7. Let q(c) = 9*o(c) - 4*w(c). What is the units digit of q(-1)?
4
Suppose -3*w + 4*r = -322, 2*w + 4*r - 224 = -16. Suppose -2*h = 3*h - 2*v - w, -3*h + 4*v = -58. Let o = h + -19. What is the units digit of o?
3
Let b = -240 - -5766. What is the thousands digit of b?
5
Suppose 4*m + 14 - 74 = 0. Let d(a) = 5 + 10*a - 14*a + 7*a. What is the units digit of d(m)?
0
Let c(i) = 53*i**2 - 12*i - 17. Let k(m) = -m**2 + m - 5. Let x(a) = c(a) + k(a). What is the thousands digit of x(5)?
1
Suppose 3*t - 4*c - 30 = 431, -c + 799 = 5*t. Suppose 5*j - 4*k = 2006, -557 = -j + 4*k - t. What is the hundreds digit of j?
4
What is the units digit of (-1)/(12/(-49344) + 0/(-1) + 0)?
2
Let k(j) = 21*j**2 + 43*j - 666. What is the tens digit of k(11)?
4
Let w(u) = u**3 + 8*u**2 - 36*u - 31. Let p be w(-11). Suppose -z + p*x = x - 122, -110 = -z - 2*x. What is the hundreds digit of z?
1
Let x(r) = r**3 - 7*r**2 + 14*r - 33. Let p be x(7). Let q = 246 + p. What is the hundreds digit of q?
3
Let k = -429 - -424. Let x = 4 + 6. What is the tens digit of x/5 - 915/k?
8
Let g = -461 + 257. Let b = 158 - g. What is the tens digit of b?
6
Let m(w) = 335*w - 1. Let n = 280 + -278. What is the tens digit of m(n)?
6
Suppose 0 = -4*u - 3*x + 4212, 2*u + x = 512 + 1594. What is the units digit of u?
3
Let a(f) = -3*f**3 + 2*f**2 + 3*f - 4. Suppose d + 14 = -3*l, -4*d = -d - 4*l - 23. Let w be a(d). What is the tens digit of (-1 + (w - -2))*-212?
1
Let d = 4607 + 6272. What is the thousands digit of d?
0
What is the ten thousands digit of (127*-70 - 296/370)/((-9)/30)?
2
Let w(c) = -6*c**3 - c**2 + 13*c - 6. Suppose -2*i + 5*v - 15 - 7 = 0, 0 = -3*i - v - 16. What is the tens digit of w(i)?
7
Let n(c) = -7*c - 13. Let y be n(6). Let p = y - -55. What is the units digit of (-2)/8 + 819/28 - p?
9
Let p(d) = -1529*d + 3391. What is the ten thousands digit of p(-8)?
1
Let h = 48602 + -23079. What is the ten thousands digit of h?
2
Let i(g) = 54*g + 2. Let f be i(7). Suppose -c + 84 = 5*v, -5*c = -c - 2*v - f. What is the units digit of c?
4
Suppose -4*i - a = -0*a - 19, 15 = 3*i + a. Let c = -164 + 260. Suppose 0 = 2*u + i*o - c, 2*u + 0*o - 96 = 4*o. What is the units digit of u?
8
Let r = 50602 - 35351. What is the ten thousands digit of r?
1
Let i(x) = -31*x**2 - 1525*x + 44. What is the hundreds digit of i(-45)?
8
Suppose 18*z + 4*z = -44*z + 217932. What is the thousands digit of z?
3
What is the hundreds digit of (-12 + 0)*38826/(-72)?
4
Let z = -14870 + 22471. What is the hundreds digit of z?
6
What is the tens digit of ((-216)/84*-91)/(-1 + 2452/2440)?
8
Let j = 6 - -70. Suppose g - 3*a + 34 = 0, 2*g + a - 5*a + j = 0. Let q = g + 49. What is the units digit of q?
3
Let h be (-10)/4*18486/(-65). Let p = 1068 - h. What is the hundreds digit of p?
3
Let p = -48 - -48. Let r be (p - 8)/((-8)/(-16)). What is the tens digit of (67/3)/(r/(-48))?
6
Let l(u) = -159*u + 159*u + 2*u**2 - 6. Let i be l(2). Suppose -i*s + 0*s + 4*b = -270, 135 = s + 2*b. What is the units digit of s?
5
Let g = -3328 - -10273. What is the tens digit of g?
4
Suppose 3*i - 3*z = 47 - 2, -z = -3*i + 35. Let u be 12 - (-6)/(-4)*210/45. Suppose u*n = i*n - 455. What is the units digit of n?
1
Suppose -c = -42660 + 17367. What is the units digit of c?
3
What is the hundreds digit of 28/168 - (44470/(-12) + 1)?
7
Let s = -2946 + 6927. What is the hundreds digit of s?
9
Let f be 5/(-15)*-15 + -5. What is the hundreds digit of f + 184 + 0 + -1?
1
What is the ten thousands digit of 1754/(-9 - 2*(-872)/192)?
2
Let b = 173 + -83. Suppose 450 - b = 15*z. What is the units digit of z?
4
Let p(i) = 40*i**2 - 26*i + 1. Let u(k) = 13*k**2 - 9*k. Let j(z) = -6*p(z) + 17*u(z). Let d be j(3). What is the tens digit of 4/6 - d/18?
1
Suppose -3*b - 6 = 3*t, -2*t - 4 - 2 = b. Let p(c) = 6*c**2 + 2*c + 2. What is the units digit of p(b)?
0
Let d(b) = -b**3 - b - 1. Let c(j) = -15*j**3 - j - 4. Let y(s) = -c(s) + 2*d(s). Let t be y(1). Suppose -264 + t = -5*x. What is the tens digit of x?
5
Suppose -24*i = -66063 - 296073. What is the units digit of i?
9
Suppose -1697026 = -200*j + 106*j + 76942. What is the ten thousands digit of j?
1
Suppose 454 = 2*l - 2*w, l = -4*l + w + 1119. Suppose b - 4*b = -1008. Let p = b - l. What is the tens digit of p?
1
Let x be 2 - (3/((-6)/(-4)) + -15). Suppose -15 = -5*q + 5*u, -3*q - 9*u + x = -6*u. What is the hundreds digit of (-8 - (-3367)/14) + (-6)/q?
2
Suppose -x = 4*x + 320. Let h = 726 - 724. What is the tens digit of -5*(x/20 - 2 - h)?
3
Let w = 21556 + -9057. What is the units digit of w?
9
Suppose 3*t = 4*o - 53, o - 4*t = -o + 24. Suppose 3*k + 4*d + 2 - o = 0, -2*k + 2*d = -8. What is the units digit of 6 + k*(-5)/5?
2
Suppose 0 = 4*b + d - 285, 73 + 65 = 2*b - 4*d. Let f = 82 - b. Suppose -f*i + 1124 = -372. What is the units digit of i?
6
Let a(n) = 54*n**2 + 421*n + 111. What is the ten thousands digit of a(20)?
3
Let l(g) = -9*g**3 + g**2 - 19*g - 14. What is the units digit of l(-4)?
4
Let w = 484 + 5673. What is the tens digit of w?
5
Suppose -3*n + 2062 - 2050 = 0. Let o(y) = 301*y + 23. What is the hundreds digit of o(n)?
2
Let w = -2530 + 5140. What is the units digit of w?
0
Let u = 289 - 163. Let r be (28/6)/((-28)/u). What is the tens digit of 236 - (-7)/(r/(-6))?
3
Suppose m + 18 = -0*m. Let f = m + 30. Suppose -46 = -2*g - f. What is the tens digit of g?
1
What is the units digit of (-22056)/(-20) + 7/28 + 1/(-20)?
3
Let y(i) = 477*i**3 + 7*i**2 - 23*i + 29. What is the hundreds digit of y(2)?
8
Let d = 1818 - -23203. What is the ten thousands digit of d?
2
Let d be (-4)/5 - 140/(-50). Suppose -d*h + j + 73 = -64, 277 = 4*h - j. Suppose 5*b + h = 4*o - o, -b - 35 = -2*o. What is the tens digit of o?
1
Let c(k) = -2*k**2 - 55*k + 27. Let y(m) = -m**3 + 13*m**2 + 24*m + 63. Let p be y(15). What is the units digit of c(p)?
4
Suppose 0 = 2*j + 3*j. Suppose -2*r - r + 28 = 4*a, j = 5*a + r - 24. What is the units digit of 16/a*(-44)/(-8)?
2
Let p = 8848 + 5211. What is the units digit of p?
9
Let z(p) = 141*p - 1. Let i be z(1). Let y be i/21*(-5)/(-4)*-3. Let l = 66 + y. What is the tens digit of l?
4
Let p = 135 - 131. Suppose 4*b + 4*r - 1096 = 0, -p*b = 2*r - 83 - 1005. What is the units digit of b?
0
Suppose 29963 = 3*z - 12127. What is the tens digit of z?
3
What is the hundreds digit of ((-17388)/(-92))/(3/1203)?
7
Suppose -8 = 18*m - 19*m - c, 4 = c. Suppose m*b = 959 - 127. What is the tens digit of b?
0
Let l(o) be the second derivative of o**5/20 + 7*o**4/2 - 55*o**3/6 + 10*o**2 + 100*o. What is the tens digit of l(-43)?
3
Let s(i) = -i**3 + 34*i**2 - 83*i - 28. What is the units digit of s(-26)?
0
Let w(j) = j**3 + 6*j**2 - 3*j + 10. Let k be w(-5). Let l = k + -27. Suppose 0 = -3*v + l + 361. What is the tens digit of v?
2
Suppose -u = 43 - 47, -u = -4*a + 28. Suppose 4179 = a*k - 6101. What is the thousands digit of k?
1
Suppose 19690 = 2843*k - 2842*k. What is the ten thousands digit of k?
1
Suppose 0 = -0*i - 4*i. Suppose i = 2*t + 3*a - 452, -4*a - 2 = -18. What is the tens digit of t?
2
What is the units digit of (-1)/((3/90*5)/(97433/(-14)))?
7
Suppose 19*s - 38801 = 13*s + 26431. What is the hundreds digit of s?
8
Let d = -53 - -10. Let b = d + 41. What is the tens