ppose 0 = 3*y - 16 + 7. Suppose -5*x - 8 = y*w, 0*w + 7 = -4*x - 3*w. What is the units digit of 31 + (x - (-2 - 0))?
2
What is the units digit of (-1 - -4858) + 5 + -21?
1
Let u(g) = -g - 1. Let p(r) = -7*r - 5. Let x(h) = -p(h) + 6*u(h). Let k be x(21). Suppose 0 = 4*c + k, z + 4*z - 610 = 5*c. What is the tens digit of z?
1
Suppose o = -2*f - 1889, -14*f - 2*o - 4720 = -9*f. Let m = 1786 + f. What is the units digit of m?
4
Suppose -394 = 8*f + 70. Let t = -55 - f. Suppose -5*m + 242 = -t*m. What is the tens digit of m?
2
Suppose 2 = -0*p + p. Suppose 0 = -2*v + v - 5*u + 78, 4*v + p*u - 240 = 0. Suppose -5*f + v + 187 = 0. What is the tens digit of f?
4
Let s(y) = 45*y - 1193. What is the tens digit of s(53)?
9
Let u = 1497 + -522. Suppose 9*b - 6*b + 3893 = 4*c, -c - b + u = 0. What is the units digit of c?
4
Let h(r) = 1320*r**2 - 35*r + 110. What is the units digit of h(4)?
0
Suppose -374946 = -39*s - 99*s. What is the hundreds digit of s?
7
Suppose 5*f - 14742 = 2*m + 30348, 18036 = 2*f - 3*m. What is the units digit of f?
8
Let l(y) = y**2 + 6. Let z be l(0). Let s(o) = 14*o + 21. Let c be s(z). Suppose -6*u = -105 - c. What is the units digit of u?
5
Suppose -5*h + 2*n + 5 = 3, 0 = 3*n - 12. Suppose 3*x + 372 = 3*a, -h*x = -5*a - 0*a + 632. Suppose -7*m = -985 - a. What is the hundreds digit of m?
1
Let a(r) = 1426*r**3 + 30*r**2 - 50*r - 19. What is the hundreds digit of a(2)?
4
Let x(n) = -558*n + 451. What is the units digit of x(-24)?
3
What is the thousands digit of 63764/4*(2 + 0/(-12))?
1
Let v(w) = w + 8. Let y be v(-6). Suppose 246 = 5*d - 4*u, -u = -3*u + y. Suppose d*r - 46*r = 52. What is the units digit of r?
3
Let a(h) be the third derivative of 53*h**5/60 + h**4/24 - h**3/6 + 2*h**2. Let k be a(-1). Suppose k - 227 = -4*s. What is the units digit of s?
4
Let y(j) be the first derivative of -44*j**2 - 42*j - 10. What is the units digit of y(-8)?
2
What is the tens digit of (8/36)/(-18 - 16254777/(-903042))?
5
Let a(g) = -43*g + 1207. Let t(p) = -21*p + 602. Let f(c) = -4*a(c) + 9*t(c). What is the units digit of f(0)?
0
Let v = 35052 + -14273. What is the units digit of v?
9
Let p be (1/(-5))/((-4)/100). Suppose -5*b = 20, -2*i + i = p*b + 2. What is the units digit of (-3)/i - 633/(-18)?
5
Suppose -96 = -291*i + 283*i. What is the hundreds digit of -5 + 762/i*16?
0
Suppose 0 = -0*a + 8*a - 384. Suppose d - 258 = a. Suppose 2*h = -h + d. What is the units digit of h?
2
Suppose -2*h + 29822 = -7*y + 9*y, -y + 4*h + 14886 = 0. What is the thousands digit of y?
4
Let m = 61 - -126. Suppose 0 = 2*l - m - 77. What is the units digit of l?
2
Suppose -4*m + 25265 = 1889. What is the hundreds digit of (-3 + 1 - 0)*m/(-24)?
4
Suppose 0 = p + g + 29, 2*g - 66 = 6*p - 4*p. Let j = p + 98. What is the tens digit of j?
6
Let b = 536 - 428. Suppose -b*h = -112*h + 3992. What is the hundreds digit of h?
9
Let p(b) = -9*b + 425. What is the thousands digit of p(-79)?
1
What is the tens digit of -42*(-10)/5*1*244/8?
6
Let t(h) = h**2 - 43*h - 67. Let d(s) = -2*s**2 + 87*s + 134. Let z(p) = -6*d(p) - 13*t(p). What is the hundreds digit of z(17)?
4
Suppose 11*t = 5*t + 30. Let g be 11340/75 - (-2 + 11/t). Let m = 101 + g. What is the units digit of m?
2
Suppose 5*f + 2*m - 5 = 0, -m + 2*m + 8 = f. Suppose f = 15*z - 12*z. What is the tens digit of (-15)/(-20) + z/((-12)/(-195))?
1
Let b(i) = 3*i**2 + 31*i - 109. Let o(c) = -c**3 + 45*c**2 - 84*c - 69. Let p be o(43). What is the hundreds digit of b(p)?
2
Suppose 0 = j + 2. What is the tens digit of 383 - (0 + 5 + j)?
8
Let a(f) = 4537*f + 8215. What is the thousands digit of a(10)?
3
Let m(f) = 6*f - 18*f - 55*f - 146. What is the tens digit of m(-20)?
9
Let n be (-60)/(-2 + 4)*8/(-20). Let b(y) = 2*y**2 - 25*y + 17. Let c be b(n). Suppose 2*r + 411 = c*r. What is the tens digit of r?
3
Let a = -59 + 43. Let d be (-237)/(-21) + (2 - a/(-7)). Let v(h) = h**2 + 2*h + 17. What is the hundreds digit of v(d)?
1
Suppose 38805 = 12*f - 7779. Suppose -24*l = -f - 3030. What is the tens digit of l?
8
Suppose 21806 - 102546 = -28*h + 18*h. What is the tens digit of h?
7
Let n(k) = 25*k**2 + 5*k - 4. Let c(o) = 73*o**2 + 16*o - 12. Let q(y) = -4*c(y) + 13*n(y). What is the thousands digit of q(6)?
1
Suppose 2*q + 10 = 0, 3*j + 2*j - 2*q = 65. Let k(m) be the second derivative of m**5/20 - 5*m**4/6 - 5*m**3/6 - 2*m**2 - 5*m. What is the units digit of k(j)?
2
Suppose 7*u = 4*g + 4*u - 28, 5*g - 36 = 4*u. Suppose -g*c + 4*h + 2484 = 0, 1045 + 195 = 2*c - h. What is the units digit of c?
9
Let t(g) = 23*g + 2. Let q be t(9). Suppose -q = 5*h - 4*d + 602, 5*h + 807 = 3*d. Let y = h + 265. What is the hundreds digit of y?
1
What is the thousands digit of -3 - (5 - 1) - (-34111 + 6/6)?
4
Suppose 5*j = 3*a + 54207, 3 = 3*a + 15. What is the hundreds digit of j?
8
Suppose b = 6*b - b. Suppose -2*u - g + 0*g + 5 = b, 0 = -3*u + 4*g + 13. Suppose -u*t = -10*t + 1078. What is the units digit of t?
4
Let s(u) = 8*u**2 + 615*u + 13. What is the thousands digit of s(29)?
4
Suppose -11 = -11*m + 33. Suppose -664 = -m*x - 0*z - 4*z, -5*z = 3*x - 494. What is the tens digit of x?
6
What is the tens digit of 3180/36*-20*-3?
0
Let x be (-302)/(-18) + -2 - (-22)/99. Suppose -2290 = -5*w - 5*z, 2*z + x = 17. What is the tens digit of w?
5
Suppose 0 = 6*p - 133 - 1325. Let j be p/(-1)*(-8)/(-24)*-3. Suppose -51 = x - 3*b - j, 0 = -3*x - b + 616. What is the units digit of x?
4
What is the thousands digit of 3 - (-17)/((-68)/(-36)) - -56189?
6
Suppose -13*q - 13350 + 83581 + 69298 = 0. What is the thousands digit of q?
0
What is the ten thousands digit of 20/((-220)/33) + 18235*(-4 + 5)?
1
Let g = 626 + 412. Let x = g - 659. What is the units digit of x?
9
Let q = -17401 - -35163. What is the tens digit of q?
6
Let z be -3 + (-2)/(-4) + 77/22. Let s(w) = -44*w**3 - 3*w**2 + w - 1. Let r be s(z). Let q = r - -75. What is the units digit of q?
8
Suppose -32*r = -34*r - 6. Let i be (-1)/(104/36 + r). Let s = 54 - i. What is the units digit of s?
5
Suppose 0 = u + 3, -y - 8*u + 76 = -6*u. Let b = y + -79. Suppose 3*c = 4*d + 446, b*c - d = -2*d + 436. What is the units digit of c?
6
What is the ten thousands digit of -5*146/219*(-25458)/4?
2
Let a(n) = 16*n**2 + 23*n + 33. Let p be a(-5). Suppose -4*t - p = -y + 1243, y - t = 1576. What is the thousands digit of y?
1
Suppose -278715 - 37823 = -5*a + 2*g, -2*a + 126616 = -g. What is the tens digit of a?
0
Let p = 18 - 3. Let r = -11 + p. Suppose -x = -j - 43, 0 = -x - r*j + 33. What is the tens digit of x?
4
Let i(q) = 3*q + 5. Let c be (64/112)/((-4)/(-70)). Suppose -c - 20 = -5*a. What is the units digit of i(a)?
3
Let d = 78075 + -41502. What is the hundreds digit of d?
5
Let s = -25 + 81. Let f = s + 93. Let d = 197 - f. What is the tens digit of d?
4
Let q = -483 - -814. Let r = 873 - q. What is the units digit of r?
2
Let k(j) be the first derivative of -17*j - 29/2*j**2 + 10. What is the tens digit of k(-4)?
9
Suppose 4*b - 8 = 0, 19 = 5*s + 3*b - 12. Suppose 15*j + s*p - 3675 = 13*j, 0 = -5*p - 5. What is the tens digit of j?
4
Let j(l) = -3573*l + 212. What is the hundreds digit of j(-2)?
3
Let f = -993 + 7857. What is the thousands digit of f?
6
Let g = -26028 + 44412. What is the ten thousands digit of g?
1
Let m be (27/(-6) - -5)*(0 - 6). Let z(h) = 61*h**2 - 4*h + 6. What is the tens digit of z(m)?
6
Let a = -7 + 20. Suppose 0 = 2*q - q - 2*o - 7, -2*q = 5*o + 4. Suppose -q*i + 101 = -4*r + a, -81 = -3*i - 3*r. What is the units digit of i?
8
What is the units digit of (-1280)/896 - (-159242)/14?
3
Suppose -489 - 175 = -8*r. Suppose r = 3*c - 505. What is the hundreds digit of c?
1
Let g(r) = r**3 + 10*r**2 + 6*r - 9. Suppose 32 = -7*o + 5*o. Let p = -22 - o. What is the tens digit of g(p)?
9
Suppose -17 = -3*h + 4*h. Let a(x) = -4*x - 23. Let m be a(h). Suppose 3*v = y - m, -5*v + 260 = 4*y - v. What is the tens digit of y?
6
Let w(y) = 22*y - 20. Let n be w(1). What is the hundreds digit of n*(-9)/((-72)/3800)?
9
Let u = 65482 + -33657. What is the thousands digit of u?
1
Suppose -r + 30 = -2*w - 2*r, w - r + 15 = 0. Let q = w - -43. Suppose -4*m + 184 = q. What is the units digit of m?
9
Let g(u) = 42*u**2 - 2*u + 289. What is the hundreds digit of g(14)?
