Suppose 4*i + g = -y - 0*i, 5*y - 4*i = 15. What is the units digit of y*(-9)/12*(11 - -1)?
9
Suppose k - 1210 = b - 8166, -5*b = -k - 34784. What is the units digit of b?
7
Suppose -320395 + 16584979 = 216*j. What is the ten thousands digit of j?
7
Let a be (57/(-3) + 2)*12. Suppose -5*q - 4*b = -5*b - 50, 0 = 4*b - 20. What is the units digit of q - 9 - a/3?
0
Suppose -3*y - 3*s + 90 = 0, -4*s - 6 + 18 = 0. Let a(v) = -v**2 - y*v - 405 + 0*v**2 + 374. What is the units digit of a(-22)?
9
Let r(z) = -1673*z**3 - z**2 - z - 2. Let u be r(-1). Let t = u + -1193. What is the units digit of t?
8
Let d(r) = -r**3 - 5*r**2 - 19*r - 16. Let f be 1100/(-160) + 1/(-8). What is the hundreds digit of d(f)?
2
Let w(c) = 6*c**2 + 42*c + 2623. What is the thousands digit of w(-46)?
3
Suppose -4*y = -2*t - 3499 + 983, y - 629 = -t. Let w = y - 168. What is the tens digit of w?
6
Let p = -55 + 59. Suppose 3*r - 6 = 2*a, 3*r = -a - 4*a - 15. Suppose -2*g - p*x + 93 + 117 = r, 3*g + 4*x = 311. What is the units digit of g?
1
Suppose 0 = 16*v + 5*v + 6552. Let x = v - -408. What is the units digit of x?
6
Suppose 936 = 5*m + 251. Suppose -c + 3 = x + 4*x, -3*x = 5*c - 15. Suppose 0 = -c*n + 166 + m. What is the tens digit of n?
0
Suppose 10*v = v + 171. Suppose b + 5 = -g, -3*b - 5*g - v - 6 = 0. Suppose l - 6*l + 480 = b. What is the tens digit of l?
9
Let x be (-6)/3 + (242 - (-5 - -11)). Suppose u - x = -87. What is the hundreds digit of u?
1
Let a be (-8)/28 + (-2 - 1140/28). Let y = -38 - a. Suppose -y = -3*c + 268. What is the units digit of c?
1
Suppose -208808 = -5*f - 307*j + 308*j, -2*f + 83480 = 5*j. What is the ten thousands digit of f?
4
Suppose -6*j + 4*j + 34 = 0. Suppose j*t - 22 = 6*t. Suppose 5*d - 541 = -4*w, -4*d - t*w = -6*w - 440. What is the units digit of d?
9
Let y(k) = -k**3 - 5*k**2 - 6*k + 2. Let r be y(-5). Suppose u + 4*u - m = 3, -5*m = -3*u - 7. Let w = r - u. What is the units digit of w?
1
Let c(m) = -m**2 + 26*m + 19. Let f be c(20). Let s = 139 - f. Suppose -7*n + 980 + 644 = s. What is the tens digit of n?
3
Suppose 39*f - 12 = 40*f. Let a(j) = -33*j - 163. What is the hundreds digit of a(f)?
2
Suppose 5*r + 2*g - 183567 = 0, -256988 = -37*r + 30*r + 3*g. What is the hundreds digit of r?
7
Suppose -5*q = 30, 117*q - 12011 = -i + 115*q. What is the hundreds digit of i?
0
What is the tens digit of ((-20)/(-6))/10*-3 - -6419?
1
Let q = 44764 - 20720. What is the units digit of q?
4
Let v(l) be the third derivative of l**6/120 - l**5/20 - l**4/24 + l**3/2 - 12*l**2. Let y be v(2). What is the units digit of 4 - y*48/9?
0
Suppose -3*l - 3*x - 9 = 0, 3*x = -5*l + 10 - 15. Suppose l*t - 8 = 0, 4*t - t = -h + 1476. What is the hundreds digit of h?
4
Let p be (95/(-15))/((-2)/(-12)). What is the units digit of (-7399)/(-13) - p/(-247)?
9
Let r(p) = -7 - 13*p**2 - 13*p - 12 - 4*p + 2*p**3 - 3*p**3. Suppose 5*y + 65 = 5*d, -y - 1 = 4*d + 7. What is the tens digit of r(y)?
4
Suppose -14*d + 156 = 3*c - 9*d, 3*c - 3*d - 132 = 0. Let q(h) = h**2 - h - 38. Let r be q(0). Let k = c + r. What is the units digit of k?
9
Let j = 174 - 21. Let i be 1 + (8 - 3) - 0/(-2). Suppose 0 = -2*z, -3*w - z - j = -i*w. What is the units digit of w?
1
Let n = 42 - 66. What is the tens digit of (-2324)/n + 4/24?
9
Suppose 3*f - 6 = 0, 4*q - 107 = -5*f + 95. What is the hundreds digit of q*8/36*75?
8
Let u = -5 - -26. Suppose u*q = 23*q - 4. Suppose 11*a = q*a + 810. What is the units digit of a?
0
Let i = 269 + -267. Suppose -w - 20*h + 24*h = -752, i*w = -2*h + 1554. What is the tens digit of w?
7
Let h(u) = -u**3 + 66*u**2 - 61*u - 63. What is the tens digit of h(-13)?
8
Suppose 12*j - 28*j + 7872 = 0. Suppose n + 35 = j. What is the hundreds digit of n?
4
Suppose -8*l = -5*l - 39. Let r(n) = -n**3 + 14*n**2 + 5*n - 6. Let z be r(l). Suppose 0*u + 2*u - z = 0. What is the units digit of u?
4
Suppose 5*c + 4*t - 79 = 158, 0 = 2*c + 4*t - 102. Let j = 97 - c. What is the units digit of j?
2
Let n be 5 + (3 + 0)/(-3). Suppose 3 - n = 5*y + 3*d, y - 7 = -3*d. Let r = y - -63. What is the units digit of r?
1
Let n = 35 + -31. Let q be (-3)/(n - 5) + 67. Suppose 6*p = 3*s + 2*p - 82, -q = -2*s - 5*p. What is the units digit of s?
0
Let g be 12/(-8) - (-3 - (-35)/(-14)). Suppose 2*n = -3*w + 2087, g*n - 6 = 7*n. What is the tens digit of w?
9
Let w(c) = 5*c**2 - 68*c - 132. What is the hundreds digit of w(19)?
3
Suppose 19 = -7*z + 187. Let k be (-8)/z + (-809)/3. What is the tens digit of 7/1*-1*k/35?
5
Suppose 7*t - 4*t = 78. Let z = t - 35. What is the tens digit of 12/54 + (-1114)/z?
2
Let x be 2 - (-5 + 2 - (1 + -3)). What is the hundreds digit of 5 + (2961/x)/7?
1
Suppose -111*a = 63*a - 1089066. What is the units digit of a?
9
Let d be 15*-1*24/(-20). Suppose 8*z - d = 14*z. Let n = 75 + z. What is the units digit of n?
2
Let f(t) = 3178*t**2 + 60*t + 100. What is the ten thousands digit of f(-3)?
2
Suppose -2*b + 8*b - 630 = 0. Let m = -26 + b. Let j = m + 91. What is the units digit of j?
0
Let k(a) be the second derivative of 91*a**3/6 - 11*a**2/2 - 5*a - 10. What is the tens digit of k(3)?
6
Let s = -64 - -5. Let u = s - -65. Suppose 0 = -3*m - 4*d + 10, 0 = -4*m - u*d + 2*d + 16. What is the units digit of m?
6
Suppose -5*v - 6*v + 517 = 0. Suppose 5*f - 5*o - 1600 = 0, -f + 5*o + 265 = -v. What is the hundreds digit of f?
3
Let y(a) = -6480*a + 1521. What is the tens digit of y(-6)?
0
Let n be 1592/5 - (-72)/120. What is the hundreds digit of 11596/11 - 58/n?
0
Let q = 13963 - 4423. What is the hundreds digit of q?
5
Suppose 6508*x = 13013*x - 6506*x + 57780. What is the hundreds digit of x?
7
Suppose -7*q = -8*q + 2, -4*o = 2*q - 65500. What is the thousands digit of o?
6
Let s = 15409 + -15357. What is the units digit of s?
2
Let s be 56/26 + (-4)/26. Let w(u) = u**3 + 18*u**2 + 6*u + 45. Let n be w(-14). Suppose -s*l - 3*l = 5*y - n, 5*l - 2*y = 738. What is the units digit of l?
8
Let y = 11 - 6. Suppose 3 + 402 = 27*s. What is the tens digit of (-3 + y + -1)*s?
1
Let x(f) = -11*f + 83. Let d be x(8). What is the tens digit of (d + -5)/5 - -959?
5
Let f = 486 + 32. Suppose -5*n + f = 148. What is the units digit of n?
4
Let d(a) = 6*a + 20. Let p be d(-8). Let q = p + 7. Let m = q + 36. What is the units digit of m?
5
Suppose -2*h - 13 = -x - 3*h, x + 3*h = 15. Let q be -21 + x/16*-2*2. What is the tens digit of 20 + (-16)/q*6/4?
2
Suppose 113*d - 457647 - 299598 = 56*d. What is the ten thousands digit of d?
1
Let r(d) = d**2 - 14*d - 67. Let f be r(18). Suppose 732 = f*h - 5*n - 1313, -4*h + 2*n = -1632. What is the units digit of h?
7
Let q be (118/4)/((-1)/(-10)). Suppose 2*a - a = 4. Suppose 0 = -h + 1, a*h - 3*h = -3*r + q. What is the tens digit of r?
9
Suppose 3236*z = 3247*z - 155342. What is the tens digit of z?
2
Let f(m) = 5*m + 0 + 1 - 3*m + 2*m**2 - 41*m**3. Let c = -397 + 396. What is the tens digit of f(c)?
4
Suppose -z - 2 = -343. Suppose 18*f - 9521 = -z. What is the tens digit of f?
1
Suppose 117*p - 1138255 = -128428. What is the tens digit of p?
3
Let s = -106 - -102. Let o(u) = 17*u**2 - 8*u - 20. Let n be o(s). Suppose -9*d = n - 1112. What is the tens digit of d?
9
Let y be (-278388)/198 - (-1*1 - 2). Let g = 15 - y. What is the thousands digit of g?
1
Suppose -8*z - 10 = -13*z. Suppose -s = -3 - z. Suppose 0 = 4*i + 3*p + 249 - 745, -s*i = 2*p - 613. What is the hundreds digit of i?
1
Let j = -25557 + 43241. What is the ten thousands digit of j?
1
Suppose -2*z + 19*g + 19040 = 20*g, -5*z + 47574 = -4*g. What is the units digit of z?
8
Suppose 30*p - 102 = -4*p. Suppose -b + 2*t - 3330 = -3*b, 3*t + p = 0. What is the thousands digit of b?
1
Suppose 0 = 4*i - 33356 + 33348. What is the units digit of i?
2
Let t(p) = -3*p - 3. Let v be t(-1). Suppose -5*s - 2*o + 160 = v, 4*s - s - 85 = o. Suppose s - 273 = -3*x. What is the units digit of x?
1
Let k(m) = 5*m**2 + 11*m + 73. Let l be k(12). Suppose -l = -13*u + 271. What is the tens digit of u?
9
Let f(k) = -5*k + 50. Let c be f(9). Suppose 20*v + c*v = 1525. What is the tens digit of v?
6
Suppose 27 = -3*u + 3*c, -3*u = 2*c - 7*c + 31. Let l(x) = -22*x + 9 + 19*x + 17 + 6 - 19*x. What is the hundreds digit of l(u)?
1
Let w = -1680 + 14695. What is the tens digit of w?