- 6 - q. Suppose -f*w - 4*y + 19 = -91, 2*w = -5*y + 110. What is the units digit of w?
5
Let r = 2098 + -1159. Let o = -511 + r. What is the tens digit of o?
2
Suppose 0 = 51*o + 115*o - 2504774. What is the ten thousands digit of o?
1
Suppose -2*z + 67 = 5*p, -4*p = 2*z - 2 - 70. What is the tens digit of ((-1)/(4/z))/((-34)/1564)?
2
Suppose 5*f = 2*c + 23312, 2313 + 7023 = 2*f + 2*c. What is the thousands digit of f?
4
Suppose 2*o + 9 = 13. Let c(r) = 9*r + 4*r + r**3 - 2*r**2 - 1 + r**2 - 11*r**o. What is the tens digit of c(11)?
2
Let j(k) = k**3 - 63*k**2 - 188*k - 1091. What is the thousands digit of j(73)?
8
Let d be (0*4/16)/(-1) + -8. What is the tens digit of d/(-68) - (-4843)/17?
8
Let v(u) = 1314*u - 54. Let q be v(4). Suppose -q = -4*t + 1502. What is the tens digit of t?
7
Suppose -5*i + 7*h = 3*h - 80752, 0 = 2*i - h - 32305. What is the units digit of i?
6
Let c = 17085 - 9037. What is the tens digit of c?
4
Let v(p) = 4*p - 52. Let n(h) = 4*h - 50. Let z(i) = -6*n(i) + 5*v(i). Let t be z(8). Suppose -t = 4*a, 5*d - 2*d - a = 737. What is the units digit of d?
5
Let t(m) = -35*m**3 + 5*m**2 - 166*m - 39. What is the units digit of t(-13)?
9
Suppose 2*y + 5*a - 7008 = 0, 0 = -y + 2*a - 0*a + 3486. Let t = -2297 + y. Suppose 3*k = u + 318 + 407, -4*u = 5*k - t. What is the hundreds digit of k?
2
Let l = 11584 - 8067. What is the hundreds digit of l?
5
Let n(g) = g**2 - 5*g + 49. Suppose 0*t = -5*t - 5, -3*m + 173 = -2*t. Suppose 32 + 3 = 3*o + d, 2*d = -5*o + m. What is the hundreds digit of n(o)?
1
Suppose 0 = -3*v + 2*d - 3, -3*v - 5*d + 17 = -1. Suppose -5*x - v + 11 = 0. Suppose x*n - 28 = -8. What is the units digit of n?
0
Let f(j) = -j**3 + 5*j**2 + 7*j + 6. Let r(w) = w**2 + w. Let y(m) = f(m) - 5*r(m). Let o be y(-4). Let l = o + -47. What is the tens digit of l?
1
Suppose 7*l + 435 = 8*l + 5*a, -3*a = -3. Suppose 0 = -3*d - 4*c + l, 0 = -19*d + 23*d - 3*c - 615. What is the units digit of d?
0
Suppose 81 = -20*t - 7*t. What is the units digit of (-4 - 504)/(0 - 2) - t?
7
Suppose -4*t + n + 4732 = 0, -3*t + 2*n = -2*n - 3562. What is the units digit of -5*(-13)/(195/t)?
4
Suppose 8*p = 5*p - 39. Let s(j) be the third derivative of -5*j**4/6 - 7*j**3/3 + 8*j**2 + 5. What is the hundreds digit of s(p)?
2
Let a = -19284 + 38282. What is the ten thousands digit of a?
1
Let f(i) = -1412*i + 708*i - 2 - 26*i**2 + 706*i + 4*i**3. What is the thousands digit of f(10)?
1
Let u = 798 + -538. Let n = u - -8. What is the tens digit of n?
6
Let h(d) be the first derivative of -33*d**2/2 - 6*d + 5. Let l be h(-5). Suppose 0 = -8*n + 105 + l. What is the tens digit of n?
3
Let q(f) = -549*f - 1752. What is the tens digit of q(-31)?
6
Let k be (1*-10)/(-4*3/(-36)). Let o(d) = -d**3 - 29*d**2 + 28*d - 35. Let g be o(k). Suppose -g*z = -9*z - 2368. What is the units digit of z?
8
Let p(b) = b**3 - 17*b**2 + 17*b - 22. Let u be p(14). Let n = u - -1991. What is the tens digit of n?
1
Let b(p) = -3*p**3 + 58*p**2 - 101*p + 142. Let g(j) = -j**3 + 19*j**2 - 34*j + 47. Let s(f) = 4*b(f) - 11*g(f). What is the tens digit of s(21)?
0
Suppose 31*t = 113*t - 48*t - 429692. What is the units digit of t?
8
Let u(y) = 224*y + 9557. What is the hundreds digit of u(84)?
3
Let p(h) = 2*h**3 + 3*h**2 + 10*h + 9. Let x be 4/((-2)/(-21) - 30/(-63)). What is the units digit of p(x)?
2
Suppose -14*q = -10*q + 20. Let a(o) = 3 - 7*o + 1 - 11*o + 13. What is the units digit of a(q)?
7
Let a be 4/10 - 108/(-30). Suppose r - i + a - 3 = 0, 3*r - 1 = -i. What is the tens digit of 1*(101 + r) - 0/(-11)?
0
Suppose -q = -4*a + 8*a - 48, -2*a - 2*q = -24. Suppose -i + 0 = -1. What is the units digit of a/(-5 + i) - -55?
2
Let t(i) = 9*i**2 + 4*i - 84. Let h be t(11). Suppose 3*z + 4*j - 1024 = 0, 4*z + j = 7*z - h. What is the units digit of z?
8
Let f = -2441 - -1265. What is the hundreds digit of 9/((-54)/f) + 0?
1
Suppose 6*r - 8438 = -2*w, -32*w = -37*w - 3*r + 21095. What is the tens digit of w?
1
Let l(j) = -14*j**3 - 6*j**2 - 11*j - 7. Let i be l(-9). Suppose -12*w + i = 1568. What is the tens digit of w?
8
Let y(t) = t**2 + 2*t + 7. Let a be y(-6). Let n = a + -35. What is the hundreds digit of -18*(n - (-11)/(-2))?
1
Let t(x) = 7951*x**3 + 14*x**2 - 16*x + 2. What is the tens digit of t(1)?
5
Suppose -140*g + 303*g - 196168 = 135*g. What is the hundreds digit of g?
0
Let w = 15396 + -4808. What is the thousands digit of w?
0
Suppose 214*c - 1715787 = 3144367. What is the hundreds digit of c?
7
What is the hundreds digit of 614/(-4)*((-18360)/195 - 4/(-26))?
4
Let k(l) = -l**3 + l**2 + 2*l - 18. Let u be k(0). Let p(a) = -a**3 - 17*a**2 + 25. What is the units digit of p(u)?
9
Let f be (1 - -2)*-2*4/(-24). Let m be (f*9/2)/(2/8). What is the units digit of 11/(-1*(-2)/m*1)?
9
Let o = 2279 + 9131. What is the units digit of o?
0
Let k(v) = 10*v**3 + 2*v**2 - 6*v - 6. Let h(b) = 8*b**3 + 3*b**2 - 6*b - 7. Let y(p) = -6*h(p) + 5*k(p). What is the units digit of y(6)?
2
Suppose 181138 = 4*q - 3*v, -4*v + 135866 = -8350*q + 8353*q. What is the thousands digit of q?
5
Let o(k) = -136*k**3 - 5*k**2 - 14*k + 19. What is the hundreds digit of o(-3)?
6
Suppose 4*k + s - 8322 = 0, 1528 = k + 3*s - 558. Suppose -5168 = -5*v + 2*t, 43*v - k = 41*v + 4*t. What is the tens digit of v?
3
Suppose -25*y + 764676 = 89*y - 412602. What is the tens digit of y?
2
What is the hundreds digit of (10111 - (21 - 36)) + 4*-1?
1
Let p(n) be the second derivative of n**4/4 - 8*n**3/3 + 7*n**2 + 46*n. What is the units digit of p(7)?
9
Suppose 2*k = -23 + 9. Let y be (-19)/k + -1 - (-8)/28. Suppose -b = 4*b + y*a - 29, -1 = 2*b + 5*a. What is the units digit of b?
7
Let w be ((-44)/12)/(3/297*-1). Let q = w - -251. What is the hundreds digit of q?
6
Suppose -419*p = -311*p - 9084420. What is the hundreds digit of p?
1
Let n(m) = -95*m - 20. Let w be n(-6). Let i = w - 280. What is the hundreds digit of i?
2
Let k = 16216 + 1145. What is the hundreds digit of k?
3
What is the units digit of (-3 + 26033)/(2/17 + (-384)/(-204))?
5
Let r be 6/21 - 12048/28. Let n be (r - 6)*(3/(-2) - -1). Suppose 5*q + n = 1068. What is the units digit of q?
0
Let r(v) = 6*v**2 + 51*v - 3439. What is the ten thousands digit of r(78)?
3
Let c = 140 - 109. Let s = -15 + c. What is the units digit of (-3)/(15/(-368)) - s/(-40)?
4
What is the units digit of 12/(3000/2984 - (1 + 0))?
8
Let u(w) = w**3 + 4*w**2 + 12*w + 15. Let q(r) = -2*r**2 - 14*r - 7. Let f be q(-7). Let z be u(f). What is the tens digit of (-11)/((-308)/z)*-7?
5
Let k = -27712 + 62679. What is the thousands digit of k?
4
Suppose -4*y + 0*j = j - 20187, 15134 = 3*y + 2*j. What is the units digit of y?
8
Let j be 2*(-256)/8*8*-1. Let c = -33 + 45. Suppose c*z = 232 + j. What is the units digit of z?
2
Suppose 2*o - 4*o = 2*z + 12, -4*z - 19 = 3*o. What is the units digit of (74 + -76)/(614/618 + z)?
9
Suppose 75*u - 76*u + 3329 = 0. What is the units digit of u?
9
Suppose -11*x = -8*x - 3, -4*i - x + 2889 = 0. Let m(d) = -d**3 + 12*d**2 - 10*d - 9. Let o be m(11). What is the units digit of 17/7 - o - i/(-14)?
2
Suppose -1870 = -6*g + 2000. What is the hundreds digit of g?
6
Let v(u) be the second derivative of u**5/20 + u**4/12 - 4*u**3/3 + 3*u**2 + 2*u + 10. What is the hundreds digit of v(6)?
2
Let b(k) = -1692*k - 5439. What is the units digit of b(-22)?
5
Suppose -14*k = -51311 + 17137. What is the tens digit of k?
4
What is the thousands digit of (43 + -16)*(-1)/(-12)*(-11072)/(-6)?
4
Suppose 26*y = 11*y - 150. Let l(t) = 16*t**2 - 7*t - 22. What is the units digit of l(y)?
8
Let r(w) = -5*w**2 + 14*w - 1. Let k(s) = -s - 2. Let t be k(-5). Let y be r(t). Let d(x) = -22*x + 7. What is the tens digit of d(y)?
9
What is the tens digit of ((-46036)/(-8) - 4)*(-10 - -2)/(-4)?
0
Let f(x) = 87*x - 4. Suppose 8 - 56 = -12*h. What is the tens digit of f(h)?
4
Let i be 1/((-3)/(-3 - 0)). Let p be (-9*10/(-15))/(i + 0). What is the tens digit of p/(-4) + (4 - 2680/(-16))?
7
What is the tens digit of ((-9)/(-6)*(-181120)/360)/(10/(-705))?
0
Let n = 25150 - 21256. What is the thousands digit of n?
3
Let u(h) = 8*h**2 + 86*h + 26. Let l(z) = -3*z**2 - 29*z - 9. Let n(s) = -11*l(s) - 4*u(s). Let b be n(25). What is the units digit of -2*(1/b - (-45