e 5*a - 3*u = 1996, -2*u + 1190 = 5*a - 2*a. What is the hundreds digit of a?
3
Let k(r) = r + 5. Let f be k(-3). Suppose 18 = -2*c + 5*j - 7, f*c = 2*j - 10. Let o(h) = h**2 - h + 12. What is the tens digit of o(c)?
1
Suppose 4 + 1 = s. Suppose 0 = s*p - 14 - 6. Suppose w - p*k - 8 = 15, -5*w - k = -31. What is the units digit of w?
7
Suppose 3*k = -6*k + 36. Suppose 4*i + 5*o - 564 = 0, -k*i = 4*o - 114 - 446. What is the hundreds digit of i?
1
Let q = 6 - 0. Let j(t) = -5*t - 12. Let w(h) = -h - 4. Let l(y) = -2*j(y) + 7*w(y). What is the units digit of l(q)?
4
Let p be (6 - 39) + (-6)/(-2). Let f = p - -38. What is the units digit of f?
8
Let w = -84 + 507. What is the tens digit of w?
2
Suppose 5*y + 20 = 0, -v - 2*y - 3*y = -659. What is the tens digit of v?
7
Let j(d) = -35 + 67 - 17*d + d**2 - 63. What is the tens digit of j(22)?
7
Suppose -5*t + 7582 = -3*a - 3328, 6546 = 3*t - 5*a. What is the tens digit of t?
8
Let g(d) = d**3 - 12*d**2 + 6*d - 28. Let o be g(12). Let h = o + 4. What is the tens digit of h?
4
Suppose 2*v = -2*j + 540, 2*j - j + 2*v - 273 = 0. What is the tens digit of j/4 + (-3)/(-12)?
6
Let a = 504 - 343. What is the tens digit of a?
6
What is the hundreds digit of 2680/(-32)*(5 + -17)?
0
What is the units digit of -7*(-8)/(-28)*-479?
8
Let b be 7 - (1 - (0 - 3)). Suppose 96 = x + x - 2*j, -b*x - 3*j + 132 = 0. What is the tens digit of x?
4
What is the hundreds digit of (-234)/(-104)*(-1412)/(-3)?
0
Let g be ((-8)/(8 + -4))/(-1). Suppose 80 = 3*p - 2*s, 2*p - 88 + 18 = -g*s. What is the units digit of p?
0
Let i be (-20)/6*(-42)/35. Suppose -i + 2 = a. What is the units digit of (a/(-6))/(21/3150)?
0
Let t = -3 + -14. Let m = t + 61. What is the tens digit of m?
4
Let t(g) = -2*g**3 - 8*g**2 + 10*g + 6. Let y be t(-5). Suppose y*p = 57 + 201. What is the units digit of p?
3
Let j be (-11628)/20 - 9/15. What is the tens digit of (-2)/4 - j/12?
4
Suppose -z = 2*n - 110 - 28, -4*z + 4*n + 528 = 0. What is the units digit of z?
4
Suppose 9*n = 7*n. Suppose n = -0*g - 2*g + 172. What is the tens digit of g?
8
Let j(n) = 92*n + 16. Let z be j(7). Suppose -2*k + 3*m = -269, 4*m = 5*k - 9 - z. What is the hundreds digit of k?
1
Let g = 12 - 12. Suppose g = -4*n + v + 538, 0 = -5*n - 4*v + 364 + 319. Suppose n = 5*b - 0*b. What is the units digit of b?
7
Suppose -3*g = -t - 25, -4*t - 3*g - 43 + 18 = 0. Let l(a) = -a**2 - 3*a + 13 - a - 5*a. What is the units digit of l(t)?
3
Let h = -2235 - -4347. What is the tens digit of h?
1
Suppose -24171 = -26*i + 63293. What is the hundreds digit of i?
3
Suppose 0 = 36*w - 40*w + 2920. Suppose -3*o - 4*u = 2*o - 700, -2*u = -5*o + w. What is the hundreds digit of o?
1
Suppose 3*a = 4*y + 12, 4*y - 20 = -9*a + 4*a. Suppose 4*q + 0*q - 152 = y. What is the units digit of q?
8
Suppose q = -3*t + 5*t - 9, q + 15 = 5*t. Suppose 3*u - l = 71, -88 = -2*u - 2*u - t*l. What is the tens digit of u?
2
Suppose 0 = 3*c - 4412 + 236. What is the thousands digit of c?
1
What is the hundreds digit of (-3979)/(-5) + (-19)/(-95)?
7
Suppose 13*f + 1077 - 8266 = 0. What is the tens digit of f?
5
Let c be 1/(0/(-1) + -1) + 420. Suppose 5*j + o + c - 1165 = 0, 2*j - 2*o = 308. What is the tens digit of j?
5
Let m be 654/(7/2 + 30/(-20)). Suppose 5*i - m = v - 2*v, -3*v = -i - 901. What is the hundreds digit of v?
3
Let u be (3/(-6))/(2/(-8)). Suppose 5*o - o = -5*y + 2, 2*y + u*o = 0. Suppose 3*z + 53 = i, 0*z + y*z - 114 = -2*i. What is the tens digit of i?
5
Let g be (10/(-6) - 2/6) + -50. What is the tens digit of (1/(-4))/((-13)/g) + 140?
3
Let i be (-132)/(-24)*(-10)/(-1). Suppose -i = -44*h + 39*h. What is the units digit of h?
1
Suppose 2*v = -6*v. What is the units digit of 12 + v + (2 - (-2 - -1))?
5
Let o(v) = -v**3 + 3*v + 120. What is the units digit of o(0)?
0
Suppose -s + 16 = 3*j, 2*s + 3 = 2*j - j. Suppose -y - 6 = -4*y. Suppose -5*l + 65 = j*q, -q + 18 = -y*l + 2. What is the units digit of q?
4
Suppose 0 = -3*a + 224 + 241. What is the hundreds digit of a?
1
Let i(t) = t**3 - 7*t**2 - 4*t + 6. Let h(q) = q**3 + 11*q**2 - 13*q - 5. Let x be h(-12). Let z be i(x). What is the tens digit of (-313)/(-9) + z/(-99)?
3
Let q be 1/5 + 1*195/25. Suppose -871 - 545 = -q*t. What is the tens digit of t?
7
Let n = 45 - 32. Suppose v + n + 1 = 0. What is the tens digit of ((-1)/3)/(v/1470)?
3
Suppose 1174 + 578 = 3*g. Suppose 2*z - 157 = -l, -2*l - 2*l + g = -3*z. What is the tens digit of l?
4
Let a(f) = 148*f**2 + 26*f - 26. What is the hundreds digit of a(1)?
1
Let x be (-15)/(-6)*(-12)/(-15). Suppose y - x*y + v + 58 = 0, 2*y - 5*v = 101. What is the tens digit of y?
6
Suppose -4*w + 3744 = -4*u, -21*u - 2804 = -3*w - 22*u. What is the tens digit of w?
3
Let b be (-5 - 1)*1/(-3). Suppose b*j - 83 = 59. What is the units digit of j?
1
Let c = -29 + 33. Let t be c + (-2)/(-8)*4. Suppose t*p + 0*p = 260. What is the units digit of p?
2
Suppose 0 = -g + 2*r + 7, -14*r = -3*g - 10*r + 19. Suppose -3*z = -4*z, g*n - 5*z = 210. What is the units digit of n?
2
Suppose -20*h = 6*h - 5616. What is the tens digit of h?
1
Let b be 1/1 + 3 + 1. Suppose -716 = -b*f - 176. What is the hundreds digit of f?
1
Suppose -4*i - 11 = -3. Let k be -1 - ((-28)/4 + i). Suppose 225 = k*f - 3*f. What is the units digit of f?
5
Let j = 1901 + 650. What is the tens digit of j?
5
Let h be 193/(-2) + -3 + 14/4. Let i = 139 + h. What is the units digit of i?
3
Suppose -d = -6*d - 20. Let r = 34 - d. What is the tens digit of r?
3
Suppose 50456 = 18*d - 4*d. What is the units digit of d?
4
Suppose 0 = -4*c - 0*c - 24. Let b be 18/(-54) - (-4)/c. Let y(o) = 31*o**2 - 3*o - 2. What is the tens digit of y(b)?
3
Let v(w) = -w**3 - w**2 - 24*w + 9. What is the hundreds digit of v(-8)?
6
Let p = 0 + 14. Let l(i) = i - 5. What is the units digit of l(p)?
9
What is the thousands digit of 106285/29 + -3 + -2?
3
What is the tens digit of (4/14)/(((-40)/(-6790))/4)?
9
Let c(l) = -4*l - 26. Let u be c(-7). Suppose -u*n + 4*n = 202. What is the tens digit of n?
0
Suppose -5*r + 1635 = -0*r. Let p = r + -156. What is the tens digit of p?
7
Let z = 7 + -9. Let d = z - -8. What is the units digit of (-2)/d + 7/3?
2
Let n(a) = 6*a + 11. Let d(b) = -7*b - 8. Let s(g) = -21*g - 25. Let c(r) = 11*d(r) - 4*s(r). Let f(x) = -4*c(x) + 5*n(x). What is the tens digit of f(12)?
3
Let v(q) be the second derivative of 3*q**3/2 + 27*q**2/2 + 28*q. What is the hundreds digit of v(11)?
1
Let i = 13 + 1. What is the tens digit of 774/22 + i/(-77)?
3
Suppose -6891 = -5*z - h, -6*z = 17*h - 18*h - 8278. What is the units digit of z?
9
Suppose q + a - 9 = 0, q + 2*q + 8 = 4*a. What is the tens digit of (-219)/(-21) + q + 124/(-28)?
1
Let a(m) = -m**3 + 2*m**2 + 3*m + 134. What is the tens digit of a(0)?
3
Let x = 6 + -7. Let k be x - (-1)/(2/20). Suppose -k*j = -10*j + 8. What is the units digit of j?
8
Suppose -6*i + 366 = -4*i. What is the hundreds digit of i?
1
Let n(g) = -5*g - 14*g - 62*g. What is the tens digit of n(-2)?
6
Suppose -3*j + 1863 = 5*t, 0*t - 3105 = -5*j + 2*t. Suppose -n + 33 = -5*w - 78, 3*w = 5*n - j. What is the tens digit of n?
2
Let a(h) = -15*h - 3. Let d be a(4). Let p = -33 - d. Suppose 0 = -4*j + p + 2. What is the units digit of j?
8
Let h(p) = -p**3 - 2*p**2 + 2*p + 2226. What is the units digit of h(0)?
6
What is the units digit of 282 - (-2 - (0 - -5)/(-5))?
3
Let x(r) = -r**2 + 48*r - 45. What is the units digit of x(24)?
1
Suppose 448 - 1516 = 4*o. Let a = 465 + o. What is the units digit of a?
8
What is the units digit of (22/(-9) + (-52)/(-117))*-71?
2
Let p = -399 - -724. Suppose 6*f - 251 = p. What is the tens digit of f?
9
Let y(t) = t**3 - 14*t**2 + 3*t - 1. Suppose 5*a = 5*g - 15, -27 = -a - g - 4*g. Suppose a*c + 42 = 5*c. What is the units digit of y(c)?
1
Let f = -22 + 17. Let j(g) = 2*g**2 + 3*g - 14. What is the tens digit of j(f)?
2
Let c(y) be the third derivative of -y**5/60 + y**4/6 - 6*y**2. Let l be c(2). Suppose -l*w = -w - 147. What is the tens digit of w?
4
Let j(r) = -3*r + 9*r**2 - r**3 + 2 + 1 - 1 - 5*r. What is the tens digit of j(5)?
6
Let b(c) = -c**3 + 11*c**2 - 10*c + 2. Let y be b(10). Let o(w) = 2*w**2 - 3*w + 1. Let g be o(y). Suppose -11 = 2*s - g*s. What is the units digit of s?
1
Let i(g) 