 Suppose 12 = 2*d + 2. Suppose q - 16 = 2*p - 0*p, q - 22 = d*p. What is the units digit of m(q)?
3
Let v = -24976 + 47242. Suppose -30*s = -12*s - v. What is the hundreds digit of s?
2
Let l(j) = -j - 1104 + 4*j**2 + 0*j**2 + 1125 + 8*j. What is the hundreds digit of l(-11)?
4
Let b(t) = 5*t**2 + 11*t + 103. Let x(y) = 24*y**2 + 56*y + 519. Let i(a) = 11*b(a) - 2*x(a). What is the units digit of i(-8)?
1
Suppose 6*p = -878 + 896. What is the tens digit of 117/p*4/4?
3
Suppose -14*z - 5*z = -40280. Suppose z = 5*q + 5*n, -1268 = -3*q - 4*n + 5*n. What is the tens digit of q?
2
Suppose 8 = -5*n + 6*n. Let u(i) = i**2 - 8*i + 5. Let s be u(n). Suppose y - 2*h + 92 = 3*y, 198 = s*y - 3*h. What is the units digit of y?
2
Suppose -3*s + 10098 = -2*a, -3*a - 1349 = 2*s - 8068. What is the units digit of s?
4
Suppose h + 2*z - 3 = z, 0 = -z. Let x(y) = -y**2 + 5*y - 3. Let u be x(h). What is the hundreds digit of -14*4/12*-10*u?
1
Suppose -4*y = -j + 6044, -15*j + 5*y = -13*j - 12109. What is the thousands digit of j?
6
Let h(m) = -1152*m**3 - 55*m - 117. What is the tens digit of h(-3)?
5
Let z = -25 + 29. Suppose -4*g - 6 - 2 = -q, -z*q = -g - 92. Suppose 0 = n + q - 35. What is the tens digit of n?
1
What is the units digit of (-2719965)/(-301) + (-6)/14?
6
Let n = -16482 + 31785. What is the tens digit of n?
0
Suppose -12 = 3*z, 2*s + 588 = -4*z + 212. Let y = -124 - -30. Let i = y - s. What is the units digit of i?
6
Suppose -602415 = -1111*i + 1096*i. What is the hundreds digit of i?
1
Let t(i) = i**2 + 4*i - 10. Let o be t(-6). Let l be 6/(-2) - (-2 - (3 - o)). Suppose -z - 193 = -4*m + 320, -4*z - 20 = l. What is the tens digit of m?
2
Let x(f) = f**3 - 42*f**2 + 61*f + 63. Let s be x(41). Suppose -3*c + 2574 = 3*r, 11*r - 10*r - s = 4*c. What is the tens digit of r?
6
Let b(f) be the second derivative of 0 - 1/20*f**5 + 0*f**3 - 1/3*f**4 + 21/2*f**2 - 21*f. What is the units digit of b(-7)?
8
Let j = 203 + -197. Suppose j = -k + 4*r, -11*k + r + 51 = -7*k. What is the units digit of k?
4
Let j = -76 + 108. Let n(o) = 4*o + 32*o**2 - j*o**2 + 12*o**3 - 3. What is the hundreds digit of n(2)?
1
Let j(z) = 151*z**2 + 9*z + 14. Let c(o) = -o**2 - 4*o + 3. Let t be c(1). What is the hundreds digit of j(t)?
6
Let s(k) = -2*k**2 + 17*k - 7. Let f be s(8). Let p = 4 - f. Suppose -3600 = -p*n - 12*n. What is the tens digit of n?
4
Suppose 7*w - 2621 = 2*w - b, -3*b = -3*w + 1569. Suppose w + 2752 = 14*l. What is the hundreds digit of l?
2
Let a = 437 - 551. What is the units digit of 1458/10*(-380)/a?
6
Let r(a) = 2*a + 3. Let w be r(-6). Let f = -5155 - -5141. What is the tens digit of (f/5 + (-1)/5)*w?
2
Let j = 44 - 39. Suppose j*r - 17 - 15 = -3*z, 5*r - 36 = -4*z. Suppose 0 = -0*u - 4*u + r. What is the units digit of u?
1
Let f(z) = -6*z - 50. Let n be f(17). Let c = -357 + n. Let l = -297 - c. What is the units digit of l?
2
Suppose -2*a = -3*x + 3*a, 3*x - 3*a = 0. Suppose x*c + 184 = -8*c. Let i = c + 55. What is the tens digit of i?
3
Suppose 4*i = -4*a + 20, 6*i - 4*i - 1 = a. Suppose -5*w + 3*y = -201 - 2473, -a*y - 9 = 0. What is the tens digit of w?
3
Suppose -4*z - 60 = 4*y, 5*y + 3*z + 25 = 3*y. Let p(j) = j**2 + 31*j + 26. Let s be p(y). Let r = s - -315. What is the tens digit of r?
2
What is the ten thousands digit of (16/(-12)*3 + 15)/(7/11809)?
1
What is the thousands digit of (-12)/48*(-19623 - -11)?
4
Suppose -2*c - 144 = 4*y, -5*y + 4*c - 165 = -c. Let o = y + 35. Suppose o = -8*w + 152 + 392. What is the units digit of w?
8
Suppose -1709382 = -22*y + 149860. What is the ten thousands digit of y?
8
Let o = 23899 - 15906. What is the hundreds digit of o?
9
Let f = 22222 + 12339. What is the tens digit of f?
6
Let j be (-4 - 16/(-10))*-70. Suppose -8 - j = -k. What is the units digit of k?
6
Let i(t) = 14*t + 1108. What is the tens digit of i(65)?
1
Suppose -110*i - 190554 + 767174 = 0. What is the thousands digit of i?
5
Suppose 14*g = 13*g + 5, 5*g = -5*v + 50. Suppose 0 = r - 4*i - 152, -6*i = -i - v. What is the units digit of r?
6
Suppose 2*r = -5*o + 7*r + 55, 2*o = -2*r + 22. Suppose z = -2*p + 1072, 0 = -10*z + o*z + p - 1073. What is the units digit of z?
4
Let h(a) = a**2 + 5*a + 83. Let v be h(24). Suppose 4*k - 3*s - 1050 = 0, -11*k + 14*k + 2*s - v = 0. What is the hundreds digit of k?
2
Suppose -1603197 = -58*h - 101*h. What is the ten thousands digit of h?
1
Suppose -4*g + 2190 = 90. Let z be 1 + (-11)/(22/(-4)). Suppose h - 5*h - 5*j + g = 0, -z*h + j = -389. What is the tens digit of h?
3
Let m be 81/4 - 3/12. Suppose 35*b = 34*b + m. What is the units digit of b?
0
Let s(a) = 61*a**2 + 12*a + 17. Let d be s(-2). Suppose -71*k + 74*k - d = 0. What is the units digit of k?
9
Let k be (-5 - (3 + -11)) + (28 - 5). What is the tens digit of (k + 7 - 5)*25?
0
Let x(p) be the third derivative of -2/3*p**3 + 0*p - 5*p**2 + 103/24*p**4 + 0. What is the units digit of x(1)?
9
Let t(p) = 295*p - 2830. What is the thousands digit of t(68)?
7
Let f(j) = 7*j**2 - 2*j + 9. Let w be f(3). Let l = w + -3. Suppose 0 = g - 10*g + l. What is the units digit of g?
7
Suppose -187 = 3*t - 14*t. What is the units digit of (18 - t)*1096/2?
8
Let x = -16 + 7. Let d(y) be the third derivative of -y**6/120 - y**5/6 - y**4/2 + y**3 - 148*y**2. What is the tens digit of d(x)?
3
Let x be (-480)/(-144)*12/5. Suppose 0 = -x*u + 236 + 1084. What is the units digit of u?
5
Let n(b) = 49*b. Suppose -3*h + 25 = 2*t, 0 = 2*h - t - 2*t + 5. Suppose 2*x = -h*o + 1, 4*o + 5 = 3*x - 8. What is the units digit of n(x)?
7
Let n(r) = 11716*r + 1089. What is the units digit of n(6)?
5
Suppose 0 = z + r - 17777, -z + 4*r + 124428 = 6*z. What is the thousands digit of z?
7
Suppose -2048560 = -148*b + 75*b - 72*b. What is the units digit of b?
8
Let y(p) = -2*p**2 + 11*p + 87. Let h(n) = 5*n**2 - 34*n - 262. Let i(r) = -4*h(r) - 11*y(r). What is the hundreds digit of i(-13)?
2
Let t(q) = -17*q**3 + 3*q**2 + 5*q - 4. Let y be t(-2). Suppose 3*n = 5*f + 272 + 59, -2*f - 133 = -n. Let b = y + f. What is the units digit of b?
6
Suppose 459 = 2*n - 6*a + a, -4*a + 1230 = 5*n. Suppose 0 = 6*k - n - 472. What is the units digit of k?
9
What is the units digit of (-273*(-14)/98)/((-3)/(-3470))?
0
Suppose -464 = z + t - 1176, -4*t + 16 = 0. Suppose 0 = 6*q - 3*q + 3*w - z, 2*w = q - 239. What is the units digit of q?
7
Suppose -4*u = 2*j - 3183 - 1077, u + 4*j - 1065 = 0. What is the units digit of u?
5
Suppose 4*b - 4*x + 16 = 0, 0 = -b - 3*x + 7*x - 19. Let m be b*(-2 - -1)*(-1 + -13). Let c = m - -107. What is the hundreds digit of c?
1
Suppose -4*d = -9*d + 15. What is the hundreds digit of -9*d/18*(-854)/3?
4
Suppose -87 - 58 = -5*m. Let j = m - 24. Suppose 0 = -5*o + 3 + 22, 3*f - j*o - 47 = 0. What is the tens digit of f?
2
Suppose 79 = 2*k - g, -6*k + 4*g = -k - 193. Suppose 2*c = 3*a - 366, -2*c = 5*a - 4*a - 114. Let n = a + k. What is the tens digit of n?
6
Let a be (-832)/12*(7 + (5 - 3)). Let i = a - -1189. What is the units digit of i?
5
Let o = -136 + 152. Let d = o - -193. What is the tens digit of d?
0
Suppose 5*a - 5*h + 70 = -60, 2*a = -4*h - 40. Let y(t) = -t**2 - 25*t - 22. Let j be y(a). Suppose 6*k - j*k - 744 = 0. What is the units digit of k?
6
Suppose 3*v + 77 - 77 = 0. What is the hundreds digit of (v - 2) + 135 + -3?
1
Suppose -s = -4*k + 578 + 1334, -k - s + 473 = 0. Suppose 0 = t + 2*t - k. Suppose 7*g - 579 = -t. What is the tens digit of g?
6
Let r be (-136)/(-14) + 4/14. Let b be ((-8)/r)/((-5)/50*4). Suppose b*t - 128 = 56. What is the tens digit of t?
9
Suppose -8*u + 5*u + 18467 = 2*q, -4*u + 27699 = 3*q. What is the units digit of q?
9
Let d(u) = -u**3 - 16*u**2 - 11*u + 2. Let y = -28 + 63. Let w = y - 51. What is the hundreds digit of d(w)?
1
Let v(p) = p**3 + 9*p**2 - p - 14. Let h be v(-9). Let k(a) = -a - 1. Let y be k(h). Suppose y*r - 154 = 230. What is the units digit of r?
6
Suppose -3*u + 4*b + 15 = -7, b - 6 = -5*u. Suppose 0 = u*p - 37 - 301. Let o = -76 + p. What is the tens digit of o?
9
Let c = -17001 - -33140. What is the units digit of c?
9
What is the ten thousands digit of (-21)/12 + (-8025885)/(-684)?
1
Suppose 3*c - 7*j + 2*j = -102, 4*c + 136 = -4*j. Let x = c + 36. What is the units digit of 0 - (328/(-20