, -d - 3*d - y*l = -356. What is the units digit of 4/8 + d/2?
6
Suppose -451*a + o - 36779 = -452*a, 110385 = 3*a - 3*o. What is the ten thousands digit of a?
3
Let h(t) = 96*t**3 + 4*t**2 - 2*t + 2. Let w be -2 + 4 - 11/11. What is the units digit of h(w)?
0
Let p(k) be the second derivative of -k**5/20 + 5*k**4/6 + 5*k**3/6 + 5*k**2 + 13*k. Let g be p(8). Let v = g - 64. What is the units digit of v?
4
Let n = -1204 - -665. What is the tens digit of (-9)/(-6)*(-17 - n)?
8
Suppose 6*n = 11*n - 370. Let h = n + -32. What is the tens digit of (h/35)/(4/170)?
5
Suppose 9556 = z - 3*d, -21*z - d - 19127 = -23*z. Suppose -8*j = -z + 221. What is the thousands digit of j?
1
Let f(d) = 14*d**2 - 22*d + 16. Let a(b) = 41*b**2 - 65*b + 47. Let l(c) = 6*a(c) - 17*f(c). What is the tens digit of l(-5)?
9
Let r(w) = w**2 + 2*w - 1. Let i be r(1). Suppose -v + 13*o - 8*o + 391 = 0, 0 = 5*v - i*o - 2070. What is the hundreds digit of v?
4
Let m(b) = -3*b**3 - 5*b**2 - 8*b - 4. Let s be m(-5). Suppose -3*h - s = 2*w - 27, 4*w + 5*h = -513. Let x = 263 + w. What is the tens digit of x?
4
Let b be (-15)/(-1)*(-3)/1. Suppose 3*v = -o + 279, 4*v = -0*v + 4*o + 372. Let r = v + b. What is the units digit of r?
8
Suppose 0 = 4*i - 12, -4*i + 2*i = 4*w - 18. Suppose 2*r - 196 = 4*f, -w*r - 3*f = -6*f - 285. What is the units digit of r?
2
Suppose -12874 = -7*x + 78154. What is the tens digit of x?
0
Suppose -2*f = -31 + 561. Let y = f - 12. Let m = -192 - y. What is the units digit of m?
5
Suppose 169036 = 160*w - 132*w. What is the units digit of w?
7
Suppose -20*x = -263381 + 80841. What is the thousands digit of x?
9
Suppose 209 = 2*l + 49. Suppose -4*p - 3*w = 2*w - l, 0 = p + 2*w - 23. Suppose 0 = a - 13 - p. What is the units digit of a?
8
Let i be (-10 - -8)*(-59)/(-2)*-2. Suppose 6*c - 110 - i = 0. Suppose 0 = -5*w, -3*w + c = -2*y + 3*y. What is the tens digit of y?
3
Suppose -65*p = -64*p - 4*h - 3112, 3*h = 2*p - 6204. What is the hundreds digit of p?
0
Suppose -8*j + 4*j - 7638 = -55570. What is the thousands digit of j?
1
Suppose 0 = 3*x - 3*l + 96, -2*x - 26 = -x + l. Let y = 1 + 8. Let d = y - x. What is the tens digit of d?
3
Let p = 1302 - 1905. Let d = 286 - p. What is the tens digit of d?
8
Let w(k) = 4003*k**3 - 35*k**2 + 74*k + 6. What is the units digit of w(2)?
8
Let i(w) be the first derivative of 3*w**3 - 21*w**2/2 - 19*w + 76. What is the tens digit of i(10)?
7
Let c = 7154 - 3106. What is the units digit of c?
8
Let f(x) = -x**3 + 8*x**2 - 7*x + 2. Let v be f(6). Let g = -8 + v. What is the units digit of (-783)/(-11) - g/132?
1
Let j be (61 + -71)*1*(-2)/10. Suppose 2*l - x - 171 - 333 = 0, 0 = j*x - 4. What is the units digit of l?
3
Let f be -1 - (-2 + -4 + -26). Suppose -5*n = 0, 0 = -5*d - 3*n + 499 + 171. Suppose m - d = f. What is the tens digit of m?
6
Let v(a) = 8*a**2 + 9*a - 9. Let w be v(1). Suppose -2*t = -4*m + w, -5 = 3*m + 3*t - 2. What is the units digit of m?
1
Let l(x) = 131*x**3 + x + 4. Let f be (-2)/(-21) - (-600)/315. What is the thousands digit of l(f)?
1
Let j(n) = -164*n - 28. Suppose 0 = -174*c + 176*c + 6. What is the tens digit of j(c)?
6
Suppose 715473 = 47*f + 111758. What is the thousands digit of f?
2
Let z be 6 + 436 - 12/(-4 - -1). Suppose 25*t = 27*t - z. What is the tens digit of t?
2
What is the units digit of (2/(-3) - 8/(-3))/(11/25036)?
2
Let f = -76 + 203. Let c = 2706 - 2775. Let t = c + f. What is the tens digit of t?
5
Let i = -1694 - -7673. What is the units digit of i?
9
Let y be (-18)/(-153) - 12*1439/(-34). Suppose 4*a - 3*q - 1371 = 0, -2*a = 3*q - 155 - y. What is the units digit of a?
9
Let h(p) = p**2 - p + 5. Let s be 4/50*5*5. Let t(f) = 6*f - 2. Let n be t(s). What is the units digit of h(n)?
5
Let a(b) = 2*b**2 - b - 6. Let u be a(6). Let m be u/33 + -2 + 84/(-22). What is the tens digit of (m/(-12) - (-16)/(-3))*-19?
9
Let h(k) = 13*k**2 + 2*k + 8. Let b be h(8). Suppose 17*c - b = 9*c. Suppose 2*v = -p + 187, v = -0*v - 5*p + c. What is the tens digit of v?
9
Let w(n) = -3*n + 3. Let l(k) = 2*k - 4. Let b(r) = 4*l(r) + 3*w(r). Let x be b(-12). Suppose -x*y + 580 = m, 0*y = -2*y - m + 229. What is the tens digit of y?
1
Suppose 65 = -53*b + 58*b. Suppose t - 2*z - 21 = 0, -3*t - 5*z + 98 = b. What is the units digit of t?
5
Let s(f) = -5*f**3 + 4*f**3 - 28 - 12*f**2 + 2*f**3 + 0*f**2. Let q(b) = -b**3 + 5*b**2 + 16*b - 1. Let d be q(7). What is the hundreds digit of s(d)?
1
Suppose -8 = -n - c, 11*c - 1 = -2*n + 14*c. Suppose -n*b + 1815 = -5*u, b - 367 = -3*u + 2*u. What is the hundreds digit of b?
3
Let n(j) = -17*j + 3. Let p be n(-1). Suppose 2*m + o = -p, 4*o + 0*o + 16 = 0. Let c(b) = -18*b - 12. What is the units digit of c(m)?
2
Let m = -71 - -264. Suppose -m - 285 = -d. What is the tens digit of d?
7
Let h = 23 - 15. Suppose 2*p = 2*w + 8, 3*w = -w + 2*p - h. What is the tens digit of 11 + 1 + (w - (4 + -7))?
1
What is the thousands digit of 14/(-133) - (6 + (-359184)/76)?
4
What is the units digit of (-3)/(-6)*-2 - (7950/(-15) - 4)?
3
What is the units digit of 180/(-2700) - 2631604/(-60)?
0
Let x = 0 - 2. Let k be (x - -4)/(-3 - -5). What is the units digit of (-1 - -14) + (2 - k)?
4
Suppose 0 = g + 3*f - 15241, 15237 = g - 55*f + 54*f. What is the units digit of g?
8
Let x = 10858 + -2069. What is the hundreds digit of x?
7
Suppose -5*z + 8*q - 9*q = -7013, -q = 4*z - 5611. Let k = z - 864. What is the units digit of k?
8
Let s be (6/12)/(2 - 57/30). What is the tens digit of 319 + (-15)/s + 1?
1
Suppose -3*n + 73 = q, -3*n - 337 = -4*q - 0*n. Suppose -q*k + 81*k + 213 = 0. What is the units digit of k?
3
Let q(v) = -33*v - 233. Let l be q(-36). Suppose -y = 2*o - 955, 5*o = 3*y - 4*y + l. What is the units digit of y?
5
Suppose 0 = -4*o - 4, 4*j - 127*o + 122*o - 437 = 0. What is the units digit of j?
8
Let z(k) = 2*k**3 - 12*k**2 + 10*k - 21. Let a be z(9). Suppose 6*x + a = 2373. What is the units digit of x?
3
Suppose -23*w + 63 = -20*w. Suppose w = 5*i - 2*p, -i - 2*p = -0*i - 9. Suppose 21 = -s - i*y, 17 = 4*s - 6*s - 5*y. What is the units digit of s?
4
Suppose 34*z = -4*z + 242022. What is the thousands digit of z?
6
Suppose -760 - 370 = -2*g. Suppose 0 = -0*q + q - g. What is the hundreds digit of q?
5
Let l be (2384/28 - 1) + 13/(-91). Let v = 116 - 35. Let a = l + v. What is the units digit of a?
5
Let v = 1438 - 538. Suppose -6*h = -16*h - v. Let d = -47 - h. What is the tens digit of d?
4
Suppose 149*o - 208*o + 2232855 = 0. What is the units digit of o?
5
Let t = -54179 - -80850. What is the thousands digit of t?
6
Let a be 68*((-6)/4)/(-3). Let q = a - 42. What is the units digit of (-3 + q/(-3))*-30?
0
Let f = -31494 - -53003. What is the hundreds digit of f?
5
Let m(q) = 356 - 356 - q + 102*q**2. Let s be (-12)/30 - 2/(30/9). What is the tens digit of m(s)?
0
What is the hundreds digit of 1/(-20) + 237206304/10880?
8
Suppose -5*c = -6 - 4. Suppose -c = -8*i + 6*i. What is the units digit of (i - 0)*(-2 + (6 - 3))?
1
Let g be 1077/3*52/4. Suppose 9*n - 1741 = g. What is the tens digit of n?
1
Let c(j) = 91*j**2 + 43*j - 4. Let h be c(3). Suppose -l = 4*w - h - 860, -5*w + 2255 = -l. What is the hundreds digit of w?
4
Let j be (-1 - 5)/(4/6*-3). Suppose j*a - 393 - 78 = 0. What is the hundreds digit of a?
1
Suppose -46*w + 42*w = -452. Let q = -88 + w. What is the units digit of 109 - 1 - q/(-25)?
9
Let y be (-175)/15 - 1/3. Suppose 5*u + b + 69 = 0, -3*b - 4 = -2*u - 35. What is the tens digit of (-2)/7 - -110*y/u?
9
Let d(r) = r**3 - r**2 - 3*r + 3. Let z be d(2). Let x be (6 - 5) + (z - 3). What is the units digit of 4/(-6)*(x - 2)*1?
2
Let p(d) = d**2 + 21*d - 18. Let x be p(-22). What is the hundreds digit of x/(-2)*1 + -3 + 500?
4
Let x be -4 - (-3 - 251/(-1)). Let q(n) = n**3 + 12*n**2 - 13*n - 2. Let u be q(-13). What is the units digit of x/u*(-6)/(-9)?
4
Let d be 0*(2 + 56/(-32)). Suppose 9*x - 974 - 4021 = d. What is the hundreds digit of x?
5
Let x(n) = 3*n**3 + 5*n**2 - 5*n + 2. Let z be x(3). Suppose -5*v + 113 = 2*c, -4*c + 2*v = -2*v - 184. Let i = z - c. What is the units digit of i?
4
Let f(w) = 5*w**2 - 179*w + 97. What is the hundreds digit of f(-44)?
6
Suppose t - 12 = -t - n, -4*t + 18 = -n. Suppose -t*o + 2475 = 5*p, 0*o - 2*