units digit of f(b)?
9
Suppose -o + 10 = -4*o - 4*r, -4*o - 15 = 5*r. Let a = o - -816. What is the units digit of a?
6
Let m(f) = 3*f**2 - 5*f + 1. Let j(h) = -7*h**2 - 3*h + 14. Let r(v) = -v**2 - v + 1. Let n(w) = -j(w) + 6*r(w). Let i be n(4). What is the units digit of m(i)?
9
Let q = -33 - -36. Suppose -q*c = -1633 + 178. What is the tens digit of c?
8
Let i = -13431 - -21320. What is the tens digit of i?
8
Suppose 4*a + 3*j - 68542 = 0, -105*a = -102*a - 4*j - 51369. What is the hundreds digit of a?
1
Let a be (3 - 6/3)/(-1). Let y be (6*a)/(1 + 277/(-274)). Let q = y + -369. What is the units digit of q?
9
What is the thousands digit of 1938 + (-11 - (-15 - 8))?
1
Let v(c) be the third derivative of -611*c**6/120 - c**5/20 - c**4/8 - c**3/6 - 27*c**2. Let n be v(-1). Suppose -4*z - z = -n. What is the tens digit of z?
2
Let j(a) be the second derivative of -13*a**3/6 - 15*a**2/2 - 25*a. Let c be -3 + 301/(-21) - 2/3. What is the hundreds digit of j(c)?
2
Suppose 29322 = 2*j + 2*d, -2*d + 5 = -7. What is the ten thousands digit of j?
1
Let l(a) = -20*a + 29. Let p be l(2). Let j(g) = -17*g - 49. What is the hundreds digit of j(p)?
1
Let m = 129 - 105. What is the hundreds digit of (16/m)/(-2 + (-806)/(-402))?
1
Let p(a) = 17*a - 99. Let v be p(8). Suppose 251 = 6*n - v. What is the units digit of n?
8
Let q = -19317 + 35777. What is the units digit of q?
0
Suppose 0 = -u - s - s + 22, -54 = -5*u + 4*s. Suppose 17*w + 189 = u*w. Let a = 8 - w. What is the tens digit of a?
7
What is the thousands digit of 5/(5 - 10)*(-3889)/1?
3
Let b(s) be the second derivative of s**5/20 + 13*s**4/12 - s**3/2 + s**2/2 - 8*s. Let g be b(-6). Suppose -43 = 6*h - g. What is the tens digit of h?
3
Let i(l) = 210*l + 2420. What is the units digit of i(-11)?
0
Let d(h) = -65*h**2 - 8*h + 33. Let x be d(3). Let b = x - -881. What is the tens digit of b?
0
Suppose 11*m - 5*m - 48 = 0. Let a be (-196)/m*-6 - 0. Let w = a - 84. What is the units digit of w?
3
Let b = 8460 + -4656. What is the thousands digit of b?
3
Let r be (46/6)/(-14*(-10)/262500). Suppose -4*j - r = -29*j. What is the tens digit of j?
7
Suppose -n - 79643 = -2*z, 5*z - 240708 = 2*n - 41600. What is the thousands digit of z?
9
Suppose 11*p - q = 10*p + 1882, 2*p - 3769 = 3*q. What is the tens digit of p?
7
Let n(k) = 3848*k + 2869. What is the hundreds digit of n(5)?
1
Suppose g + 4*i = 4*g - 30, 4*i = -4*g + 12. Suppose 4*d - g*v + 11*v = 1596, -1204 = -3*d - 2*v. What is the units digit of d?
4
Suppose 0 = 4*x + l - 25703, -2*x + 2997 = -4*l - 9841. What is the units digit of x?
5
Let f = -9883 - -24284. What is the tens digit of f?
0
Let y(s) = -44*s**3 + 9*s**2 - 5*s - 44. What is the tens digit of y(-7)?
2
Let x be 0/11 - -11*1*1. Suppose -x*i + 9*i = -4. Suppose o + 613 = 5*c - o, 2*o = i. What is the units digit of c?
3
Let j = -30 - -30. Let n(c) = -7*c + 349. Let f be n(j). Suppose 403 = 4*a - f. What is the units digit of a?
8
Let n = 157 - 157. Suppose -4*i - t + 281 = n, 0*t + 325 = 5*i - 4*t. What is the tens digit of i?
6
Let z be 2/(-2 + 16/6). Suppose -z*s = -121 + 103. What is the tens digit of (2 - -1)*28/s?
1
Let f = 58 - 53. Suppose 2*h - 249 = -f*q - 0*h, -3*q + 165 = -4*h. Suppose 88*a - 87*a = q. What is the units digit of a?
1
Let a = 27 + -28. Let c be 0 - -3 - a - (-3 - -53). Let h = c + 198. What is the hundreds digit of h?
1
Let k(w) be the second derivative of -1/10*w**5 + 1/2*w**3 - 10*w - 2/3*w**4 + 7*w**2 + 0. What is the tens digit of k(-6)?
4
Suppose 5*l - 63702 + 6636 = -n, 11398 = l + 4*n. What is the hundreds digit of l?
4
Let w be 1 + 3/(-3) - 16268/2. What is the hundreds digit of w/(-8) + (-6 - 75/(-12))?
0
Suppose l - 3*y + 12 - 1 = 0, 33 = 2*l + 5*y. What is the tens digit of l - (1 - 0)*707/(-1)?
1
Let v(l) = 1243*l + 11344. What is the hundreds digit of v(39)?
8
Let s = -4498 - -6466. What is the units digit of s?
8
Let g(i) = -3*i - 14. Let d be g(-6). Suppose 2*m + 416 = 4*v - 2*m, 0 = -5*v - d*m + 556. Let n = 167 - v. What is the tens digit of n?
5
Let c(f) = -75*f + 6308. What is the hundreds digit of c(-89)?
9
Suppose -2*y = 99 - 11. Let s = y + 44. Suppose s = 8*p - 1572 - 260. What is the tens digit of p?
2
Suppose -16*c + 11 = -15*c - 5*v, -3*v = -5*c - 11. What is the tens digit of c/((-20)/(-5))*-223?
2
Suppose a + p = 5*a + 16, -p = -2*a - 10. Let c(o) = 5*o + 18. Let h be c(a). Suppose h*q - 6*q + 346 = u, -2*q + 5*u + 242 = 0. What is the units digit of q?
6
Suppose -45740 - 22210 = -31*t + 209314. What is the units digit of t?
4
Let v(x) = x**3 - 16*x**2 - 16*x + 7. Let f be v(17). Suppose f*g - 724 = 22*g. What is the tens digit of g?
6
Let o = -211 + 227. Suppose -1504 = -4*q - o. What is the hundreds digit of q?
3
Let a be ((-9)/1)/(21/14). Let h be a/8 - 234/8. Let i = 184 + h. What is the hundreds digit of i?
1
Let w be 4 + (-2 - 0) + (-8 - -48). Let l be (-2)/9 - w/54. What is the hundreds digit of l*(0 - (-1 + 160))?
1
Let w(y) = 612*y**2 - 72*y + 234. What is the hundreds digit of w(4)?
7
Suppose 4*x = k + 4*k + 5792, x + 2*k - 1448 = 0. What is the units digit of (-13 - -4) + x/8?
2
Let s = -1746 + 11538. Suppose 0 = -30*m + 18*m + s. What is the tens digit of m?
1
Let s = 63 - 45. What is the tens digit of 3/6 + 15525/s?
6
Suppose -3*q = -4*x - 6*q - 228, -3*q = 3*x + 168. Let z = x - -57. What is the units digit of 9/27*z/(-2)*76?
8
What is the thousands digit of (2/(-4))/(2/(-1317)*23/828)?
1
Let w(v) be the first derivative of 19*v**5/15 - v**4/24 + v**3/6 - 6*v**2 - 7. Let m(i) be the second derivative of w(i). What is the units digit of m(1)?
6
Let s be ((-2)/(-56)*7)/((-6)/(-3504)). Suppose -3*k - 3*x = -18, 0*x + x = 5*k - 18. Suppose k*f + u = 119, -f - 4*u + s = 4*f. What is the tens digit of f?
3
Let z be (-1)/(3/33*-1). Let u(t) = -4*t - 1 + 6*t - z + 3*t. What is the units digit of u(8)?
8
What is the thousands digit of (-140)/(-14) - 4/((-4)/15599)?
5
Suppose 0 = 4*y + 5*n - 46, 4*y = -n + 3*n + 32. Suppose 5*s - y*s + 4 = 0. What is the tens digit of (3 - 2)*s + 2 - -83?
8
Suppose -12*v - 4888 = -15*v - 2*x, 0 = -2*v - 3*x + 3262. What is the thousands digit of v?
1
Suppose 64 = 2*o + 6*o. Let b be (28/o)/((-5)/(-10)). Suppose d - 10 = -b. What is the units digit of d?
3
Let f be 90/(-189)*-7 - 2/(-3). Suppose -v - l = -684, 5*v + f*l = 5*l + 3432. What is the tens digit of v?
8
Suppose -l + 6*j - 3 = 4*j, -41 = -5*l - 4*j. Suppose l*s + 255 = 2415. What is the hundreds digit of s?
4
Suppose 5*v - 4*p + 69736 = 9*v, 0 = -4*v + p + 69766. What is the thousands digit of v?
7
Let i(h) = h**3 + 11*h**2 - h + 14. Suppose -38*b - 5*u = -42*b - 41, 3*u - 3 = 0. What is the units digit of i(b)?
5
Let u = 5756 - 880. What is the units digit of u?
6
Let u(v) = -v**3 + 2*v**2 + v - 610. Let r be u(0). Let s be (-6)/(-15) + r/25. What is the hundreds digit of ((-2)/6)/((s/909)/8)?
1
Let u(f) = f**3 - 9*f**2 - 5*f - 36. Let a be u(11). Let v = a - -259. What is the units digit of v?
0
Let i(k) = 894*k + 8 - 823*k - 41. What is the units digit of i(10)?
7
Let w(a) = a**2 - 5*a - 3. Let i be w(5). Let x be ((-7)/i)/(18/(-378)). Let d = x + 128. What is the tens digit of d?
7
Suppose -3*u = -3*j + 86637, 54 = u + 58. What is the thousands digit of j?
8
What is the tens digit of ((-9)/(-15))/((-13)/((-328315)/3))?
5
Let r(j) = 36*j + 11753. What is the hundreds digit of r(0)?
7
Let d(m) = -2*m**2 + 17*m - 7. Let h be d(8). Let x be (h - 0)*(-3 - -68). Suppose -5*g + 4*n + x + 263 = 0, -12 = -4*n. What is the tens digit of g?
6
Suppose -3*w - 16337 = 5*x - 42546, 3*x - 17471 = -2*w. What is the hundreds digit of w?
7
What is the tens digit of 6/(-123) + (-7860177)/(-533)?
4
Let q(k) = k**2 + 2*k - 43. Suppose 0 = -17*x + 22*x - 25. Suppose -o - 55 = x*y, 0 = y + 4*o - 6*o. What is the units digit of q(y)?
7
What is the hundreds digit of 1109/(1/(-9)*-3) + 153 + -150?
3
Let j be (-1)/(-4) - 269/4. Let i = j + 40. What is the units digit of -26*(i/15 - 1/5)?
2
Let t be 7 - (12 - (-1 + 7)). Let x(j) = -4*j + 5. Let z(g) = -g + 1. Let f(v) = 4*x(v) - 18*z(v). What is the units digit of f(t)?
4
Suppose -435*w + 9869 = -439*w + 47625. What is the hundreds digit of w?
4
Let k be ((-152)/57)/(-1 - 2/(-3)). Suppose 0 = k*v + 14*v - 8