- 4. Let t be z(6). Let h = t + 65. What is the hundreds digit of h?
8
Let p = 19329 + -6489. What is the thousands digit of p?
2
Suppose 2*g - 133427 = -x, -4100*g - 4*x = -4103*g + 200113. What is the tens digit of g?
1
Let r(d) = -2*d + 42. Let n be r(18). Let c(z) = -3*z**2 + 25*z - 2. Let i(w) = -4*w**2 + 37*w - 3. Let x(p) = -8*c(p) + 5*i(p). What is the tens digit of x(n)?
5
Suppose -4*b + 2*d = 5*d - 991, 0 = -5*b + 2*d + 1256. Suppose -4*n + 434 = 414. Suppose 180 = n*g - b. What is the units digit of g?
6
What is the hundreds digit of (-999)/(-1332)*(2/(-3) - (-8731 - -1))?
5
Suppose 233 - 39 = -3*f + 2*r, 3*f + 189 = 3*r. Let d = f - -70. Suppose 427 = 5*m - d*n, -5*n + 2 = -18. What is the units digit of m?
7
What is the tens digit of (-21)/6*1195/(-7)*420/25?
3
Suppose 0 = -w + 2*g + 2937, -3*w - 4918 = g - 13771. What is the tens digit of w?
4
Suppose -2 = x + 5*o, 3*o + 6 = 3*x + 6*o. Suppose 4*y - 1304 = -5*u + x*y, -1040 = -4*u - 4*y. What is the tens digit of u?
6
Let u(z) = 457*z**2 - 120*z - 377. What is the thousands digit of u(-3)?
4
Let t(a) = -a**3 + 55*a**2 - 404*a + 49. What is the units digit of t(46)?
9
Let u be (4/(-5))/((-10)/25). Let w be (0/(-6 + u))/(0 - 2). Suppose w = -6*g + 90 + 108. What is the units digit of g?
3
What is the thousands digit of 4/((3/(-1498))/(21/(-28)))?
1
Suppose -5*w = -5*b + 75085, -3*b + 455*w + 45045 = 450*w. What is the units digit of b?
0
Suppose 185 = 7*m - 256. Suppose -56*g = -m*g + 1211. What is the hundreds digit of g?
1
Suppose -3*v + 12 = 0, -3*p + 5*v = -p - 136. Suppose 0 = 5*y - 33 - 12. Suppose -6*g - p = -y*g. What is the tens digit of g?
2
Let n(j) = 20*j + 143. Suppose 2*f + 10*f - 180 = 0. What is the hundreds digit of n(f)?
4
Suppose 0 = -8*r + 5*r. Suppose r = -4*j - s - 0*s + 159, 4*j = 4*s + 144. Let o = -36 + j. What is the units digit of o?
3
Let c = 9 - -10. Suppose -c*p = p - 9380. What is the tens digit of p?
6
Let t = 109 + -107. Suppose -3*f + t*i - 7 = -0*f, 5*f + 5*i + 20 = 0. What is the hundreds digit of (1 + f)/(-2) + 3 - -215?
2
Let r(b) = b + 6*b**2 - 2*b + 3*b + 0*b + 13. Let q(v) = 5*v - 43. Let g be q(8). What is the tens digit of r(g)?
6
Let d(o) = 12*o**3 + o**2 + o. Let i be (-8)/(-7)*2 + (-4)/14. What is the hundreds digit of d(i)?
1
Let g be (-2)/(-5) + (-13)/(65/(-28)). Suppose -g*s = -0*s - 264. Suppose -4*y = -2*u + 212, -y + 276 = 2*u + s. What is the units digit of u?
4
Suppose -z = 3 - 6. Suppose -6*y + 4*y = -z*b + 42, 3*b = y + 27. Let u = y - -23. What is the units digit of u?
8
Let a(x) = -106*x + 1959. What is the units digit of a(-44)?
3
Let y = 96373 - 66123. What is the tens digit of y?
5
Let t(x) = x + 6. Let r be t(-4). Suppose -3*j - 5 = r*j. What is the units digit of 1 + (-66)/j - 10/5?
5
Let j(p) = 105*p**2 + 2*p + 68. What is the units digit of j(7)?
7
Let o(l) be the first derivative of 4*l**3/3 - 16*l**2 - 27*l + 196. What is the hundreds digit of o(-11)?
8
Let i = 348 - 342. What is the tens digit of (-51)/((i + -9)*1)?
1
Let y = 278 + -100. Suppose -q + 4*q = -a - 115, -2*a - q - 240 = 0. Let d = a + y. What is the tens digit of d?
5
Let u(x) = -3*x - 1486*x**2 - 34*x + 1521*x**2 + 5*x**3 + 135 - 4*x**3. What is the tens digit of u(-36)?
7
Let j = -176 - -153. Let f = 92 - j. What is the units digit of f?
5
Let i be (18 - -8057) + 0/(-3). Suppose 24*o - i = -o. What is the units digit of o?
3
Let p be 2392/(-138)*(-186)/(-8). Let s = p + 440. What is the tens digit of s?
3
Let v = 4444 + -2497. What is the hundreds digit of v?
9
Suppose -115*h + 7384416 = 79*h. What is the thousands digit of h?
8
What is the units digit of (18 - 146/8)*-78648?
2
Let d(q) = -318*q - 7322. What is the hundreds digit of d(-45)?
9
Suppose -4*m - 4*o + 3235 = -1777, -5*m + 6271 = -o. What is the tens digit of m?
5
Let o(q) = -15063*q**3 + 9*q**2 + 18*q + 8. What is the units digit of o(-1)?
2
Let p(t) = -173*t - 602. Let j(w) = 87*w + 304. Let n(k) = 5*j(k) + 3*p(k). What is the thousands digit of n(-27)?
1
Let y(g) be the second derivative of 77*g**3/6 + 17*g**2 - 236*g. What is the units digit of y(10)?
4
Let x(p) = p**3 + 6*p**2 + 4*p - 8. Let l be x(-4). Suppose -1 + 393 = l*j. What is the units digit of j?
9
Let g(m) = -m**2 - 31*m - 39. Let i be 68/(-8)*((-4)/(-2) + 0). What is the units digit of g(i)?
9
What is the units digit of -131*(-47)/((-423)/(-270))?
0
Let s = 599 + -599. Suppose -4*c + 3836 = y - 2*y, s = 5*c + 3*y - 4795. What is the hundreds digit of c?
9
Let z(f) be the first derivative of -7*f**4/8 - 5*f**3/6 + 5*f**2/2 - 15. Let u(x) be the second derivative of z(x). What is the tens digit of u(-4)?
7
Let v be 295/(-236)*1*-4. What is the units digit of (-950)/(-1) - (v + -17 + 8)?
4
What is the tens digit of (-6374)/((27/7)/(-9)) - (-2)/6?
7
Let i(b) = 21*b + 10. Let n be i(2). Let x = n + 12. Let l = x + 105. What is the units digit of l?
9
Suppose 2*v = -2*a + 128, -13*v + 76 = a - 18*v. Suppose 0 = -3*n + 5*c + 68, 3*n + 9*c - 12*c = a. What is the tens digit of n?
2
Let d be 11/(7 + 3834/(-548)). Let t = 4245 - d. What is the hundreds digit of t?
2
Let f(b) = b**3 - 16*b**2 - 437*b + 46. What is the hundreds digit of f(37)?
6
Suppose 10*d - 92198 = -7*d + 57436. What is the thousands digit of d?
8
Let j be ((-45)/(-6))/(1/6). Suppose 4*m - 8*m = 3*o + 74, -3*o = m + 59. What is the units digit of (-10)/j + (-202)/o?
1
Suppose 4*a + 13*b = 10*b - 163, -2*b = a + 37. Suppose -307 = -3*u + 5. Let w = u + a. What is the tens digit of w?
6
Let m = 13 - -11. Let l = 8643 + -8411. Let p = l - m. What is the tens digit of p?
0
Let o(y) be the first derivative of y**3/3 + y**2/2 + 6*y + 25. Let c be o(4). Suppose 0 = -23*s + c*s - 369. What is the units digit of s?
3
Suppose -3*t - c + 17671 = 0, 0 = t - 3*c - 1331 - 4576. What is the units digit of t?
2
Suppose -7*q = -5*q - 20. Suppose 2*r + r - 2*s + q = 0, 3*s - 15 = -4*r. Suppose d + 3*h - 70 = 0, 0 = -d - r*h - 2*h + 70. What is the tens digit of d?
7
Let r be -52*(8 - 4 - 7). Suppose -83*b = -84*b + r. What is the units digit of b?
6
Let p(s) = -2*s - 43. Let f be p(-23). Suppose 592 - 10 = f*z. What is the hundreds digit of z?
1
Let p = -5106 - -5998. What is the units digit of p?
2
Suppose 102904 = 99*o - 1055894 - 2497965. What is the thousands digit of o?
6
Let v be 6/4*4 + -1. Suppose v*s + 10 = 10*s. Suppose 3*u = s*u + 4*o + 68, o = 3. What is the units digit of u?
0
What is the units digit of (56 + 14)/5 - -6026?
0
Let n be (1 - 2)*(-27 - -31). What is the hundreds digit of (6/n)/(((-42)/2264)/7)?
5
Let u = -3120 - -4972. What is the hundreds digit of u?
8
Let o = 19900 + -10484. What is the units digit of o?
6
Let m be (-44)/66*(-663)/(-2). What is the hundreds digit of -1 - -2 - 17/(m/5980)?
4
Let i = 337 - 333. What is the hundreds digit of 16/(-6)*(-522)/i?
3
Let j = -486 - -325. Let m = -40 - j. Suppose 0*f - 4*f - u = -501, f - 4*u = m. What is the units digit of f?
5
Let y(s) = -2*s**3 + 5*s**2 + 2*s - 2. Let a(o) = 4*o**3 - 10*o**2 - 5*o + 4. Let k(c) = -4*a(c) - 9*y(c). What is the units digit of k(6)?
6
Let c(b) = -b**3 - b**2 + 6*b + 1. Let x be c(-4). Let i be 7/((-98)/(-4)) - 15714/(-126). Suppose 5*a - i = -x. What is the tens digit of a?
2
Suppose -2*x = -93 + 85. What is the units digit of 9/(-12)*-86*x/3?
6
Suppose -211330 = 35*t - t - 881402. What is the units digit of t?
8
Suppose -5*l - 4*x - 5950 = -1768, x = -3*l - 2512. Let b = l - -1278. What is the hundreds digit of b?
4
Let l = 106967 + -51401. What is the ten thousands digit of l?
5
Suppose 350*p - 354*p = -960. Suppose s + 0*s = 5*c + p, -3*s + 676 = -4*c. What is the units digit of s?
0
Suppose 5*d + 32 = h + 5, -5*d = 2*h - 39. Let v be (-258)/43 - (-1 - 34/1). Suppose v = g - h. What is the tens digit of g?
5
Suppose a + 12 = w - 1, -3*a = -2*w + 42. What is the hundreds digit of 193 - ((-20)/a - (-1)/(-4))?
1
Let o = -134 + 127. What is the hundreds digit of 51/(-119) + (-2222)/o?
3
Suppose -16*l + 14988 + 9684 = 0. Suppose -36*q + 39*q = l. What is the tens digit of q?
1
Suppose 3*x - 15 = -0*x. Suppose -404 = -x*p - 19. Suppose -87 - p = -4*u. What is the units digit of u?
1
Suppose 54 = 7*p - 9. Suppose p*o - 4444 = -2*o. Suppose -7*m + o = -3*m. What is the units digit