?
5
Suppose 0 = -2*z - 5*y + 23, -4*z + 2*y + 31 = -3*y. Let l be (1 - z/21)/(1/7). Suppose 5*g - 345 = 5*w, -4*g + 274 = -l*w + w. What is the units digit of g?
7
Suppose 20*t = -58*t - 63*t + 1125321. What is the tens digit of t?
8
Suppose 3*o + 8 = 32. Suppose -o*u + 3*u = 2*t - 56, t + 4*u = 28. What is the tens digit of 8/t + (-1424)/(-14)?
0
Suppose 0 = 3*o - 438*i + 441*i - 114237, 4*i = 5*o - 190386. What is the hundreds digit of o?
0
Suppose -2*c + 61 = -3*f - 272, -2*c = 5*f - 309. Let v = 670 - c. What is the hundreds digit of v?
5
What is the hundreds digit of (0 - -15797) + -98 + 92?
7
Suppose 4*f - u + 6*u = 347, 3*u - 261 = -3*f. What is the units digit of ((-3828)/f)/((-3)/16)?
2
Let d = -14718 - -22687. Suppose -27*l + 14*l = -d. What is the tens digit of l?
1
Let m(t) = 14*t**2 - 53*t + 907. What is the units digit of m(31)?
8
Let b = 177941 - 124477. What is the thousands digit of b?
3
Let i = 109 + -107. Suppose -2*f + 6 = -d, -5*f + 18 = -2*d - i*d. What is the units digit of 6*((2 - -1) + d)?
6
Suppose 0 = -293*x + 288*x. Suppose 3*f - 2824 - 206 = x. What is the units digit of f?
0
Let n be -4 - (-32642)/12 - 3/18. Suppose -543 = -k + a, -n = -5*k + a + 3*a. What is the hundreds digit of k?
5
What is the ten thousands digit of (-15 - -3)*2901/(-2)?
1
Let w(f) be the first derivative of f**6/40 - f**5/24 + f**4/2 - 7*f**3/3 - 37. Let b(o) be the third derivative of w(o). What is the units digit of b(5)?
2
Let f(t) = 226*t + 3424. What is the tens digit of f(151)?
5
Let r(k) = -k**3 - 19*k**2 - 20*k - 12. Let d be r(-19). Let i = -178 + d. Let a = 50 + i. What is the hundreds digit of a?
2
Suppose -16*m - 10*m = -8*m - 227934. What is the ten thousands digit of m?
1
Let s(z) = 3*z**3 - 5*z**3 + 4*z + 7*z**2 - 5*z**3 - 11 + 6*z**3. Let l be s(5). Let k = l + -10. What is the units digit of k?
9
Suppose 12*s - 364938 - 122258 = 54556. What is the units digit of s?
6
Suppose -55 = -n + 5*i - 0*i, 0 = n + 3*i - 79. Suppose 2*v + 15 + 17 = 0. Let w = n + v. What is the tens digit of w?
5
Suppose 21 = i + 2*i. Let g be (i/(-14))/((-1)/86). Suppose g = -9*z + 295. What is the units digit of z?
8
Let o(f) be the first derivative of f**3 - 9*f**2/2 + 3*f - 51. What is the units digit of o(12)?
7
Let j be (-1*(-3 + 5))/((-2)/(-123)). Suppose 2*x + 663 = -x. Let u = j - x. What is the units digit of u?
8
Let s be -80*((-34)/16)/((-23)/(-1012)). Suppose -3*d - 5*o + 5183 = 0, 0 = -3*d - o + s - 2301. What is the thousands digit of d?
1
Let w be 27/(-15)*45/(-27). Suppose 0 = -w*i + 3443 - 1016. What is the hundreds digit of i?
8
Let v(z) = -7*z**3 + 19*z**2 + 21*z - 13. Let d(a) = a**3 - a**2 - a + 1. Let f(r) = 6*d(r) + v(r). What is the units digit of f(14)?
7
Let d = 16230 + -14499. What is the tens digit of d?
3
Suppose q = 5, 0 = -13*u + 11*u - 5*q + 132113. What is the ten thousands digit of u?
6
What is the tens digit of (1/(1/4))/((-224)/(-277256))?
5
Let u(x) = 2*x**3 - 118*x**2 - 471*x - 83. What is the units digit of u(64)?
3
What is the thousands digit of (3624/(-6))/(48/(-744))?
9
Let t = 39759 + -20041. What is the thousands digit of t?
9
Let d(x) be the first derivative of 315*x**2 + 11*x - 130. What is the hundreds digit of d(1)?
6
What is the hundreds digit of 11232 - (10 + -12 + -10)?
2
Let q(m) = -3*m - 39. Let o be q(-9). Let u be 319 - (o/(-6) - (0 - -2)). Let g = -204 + u. What is the units digit of g?
5
Suppose -355*v + 464*v - 7535933 = 0. What is the tens digit of v?
3
Let x = 139286 - 74351. What is the tens digit of x?
3
Suppose -175 = -5*k + 4510. Suppose -4*x = -a + k, 2*x = -4*a + 5*x + 3722. What is the hundreds digit of a?
9
Let f(h) = -h**3 + 23*h**2 + 26*h - 43. Let a be f(24). Suppose -3*c + 75 = 2*c - a*w, -2*c - 5*w = -58. What is the units digit of c?
9
Let l(v) = 2*v**3 + 4*v**2 - v. Let d be l(0). Suppose b + 17 - 261 = d. What is the hundreds digit of b?
2
What is the hundreds digit of 9/((-162)/(-191709)) - (2 + 9/6)?
6
Let s = 54 + -52. Let x(k) = k**3 + k**2 + k. Let p be x(s). Let t = p + 66. What is the units digit of t?
0
Suppose -2*t = 5*j + 375, -j - j = -2. Let r be (3/3)/(4 + t/48). What is the tens digit of 29/((-2)/(-3) + (-13)/r)?
3
Let c(d) = 2*d - 34. Let g be c(18). Suppose -g*l + 1690 = -0*l + 4*s, 4*l = -s + 3380. What is the tens digit of l?
4
Suppose z = 4*z. Suppose 304 = -5*b + 294. What is the hundreds digit of 235 + 5 + (b - z)?
2
Let k(b) = -7*b**2 - 8*b**2 + 23*b + 8*b**2 + 44 + 8*b**2. What is the units digit of k(-32)?
2
Let v = 588 + -244. Suppose -5*r = -3*r - v. Suppose 4*b + 0*z - z - r = 0, 0 = 4*b + 3*z - 188. What is the units digit of b?
4
Suppose 0 = x + 3*y + 4863 - 30523, -2*y + 25660 = x. What is the units digit of x?
0
Let f(h) = -5494*h + 7. Let x be f(-1). Suppose 9*p + 56 = x. What is the hundreds digit of p?
6
Suppose -y - 4*y - 4*i + 18 = 0, -i = 5*y - 12. Suppose -5*p - 2*r = -2561, 2*p = -2*p + y*r + 2056. What is the units digit of p?
3
Let j(t) = t**2 - 21*t - 2. Let s be j(21). Let p be s/(-3) - 128/(-96). Suppose -p*b - 7*b + 1521 = 0. What is the units digit of b?
9
Let p = 203 - -1049. What is the units digit of p?
2
What is the hundreds digit of (105 + 105)/(4/562)?
5
Suppose 11*k - 48 = 3*k. Suppose 3*g = -2*m + 199, -3*m = k*g - 3*g - 204. Suppose -q + 263 = 3*u, -4*q + 43 = u - g. What is the units digit of u?
6
Suppose 3*c = -14*c - 2397. Let k = 702 + c. What is the tens digit of k?
6
Suppose 27*v - 7446 = 26*v + r, -4*v + 2*r = -29794. What is the tens digit of v?
5
Let t = 400 + -404. What is the units digit of (-682)/(-4) + 0 - 2/t?
1
Suppose 2*k + 4 - 2 = 0. Suppose 15 + 0 = -5*t. What is the tens digit of (3 + t - (0 + 53))*k?
5
Suppose -479*w - 51*w = -7869440. What is the thousands digit of w?
4
Let r(i) = -165*i**3 + 3*i**2 + 3*i. Let s be r(-3). Suppose -3*b + s = 1767. Suppose -153 + b = 7*l. What is the tens digit of l?
0
Let r(s) be the third derivative of -13*s**4/8 + 101*s**3/6 - 32*s**2. What is the tens digit of r(-9)?
5
Suppose 6*b + 3511 = -2159. Let y = -310 - b. What is the hundreds digit of y?
6
Let c = 13388 + -13072. What is the tens digit of c?
1
Suppose -17*l - 5 = -3*r - 19*l, -3*r + 25 = -2*l. Suppose -454 = -r*d + 756. What is the tens digit of d?
4
Suppose 0 = 3*b + n - 9, 31 = b - 3*n + 28. Suppose -2926 = -b*f - 925. What is the units digit of f?
7
Let q = -49837 + 74010. What is the hundreds digit of q?
1
Suppose -2*x + 3*x - 4*w - 8908 = 0, -3*x = 4*w - 26660. Suppose -11*h = -15*h + x. Suppose 0 = 3*t + 6*t - h. What is the units digit of t?
7
Suppose 3*p + o + 2 = 0, -2*p + 3*o + o = 20. Let f(v) = 115*v**2 - 4*v - 5. What is the units digit of f(p)?
3
Let w be (-84)/(-14) + 0 + 273. Let i = 138 + w. What is the hundreds digit of i?
4
Suppose -243*s + 6 = -241*s, 5*s + 57279 = 3*u. What is the hundreds digit of u?
0
Let f = -42611 - -76683. What is the hundreds digit of f?
0
Suppose -8*q + 86*q = 53927 + 119545. What is the thousands digit of q?
2
Suppose 0 = 5*b - 146 - 1079. Let s = -148 + b. Suppose -3*c - 26 = -f, -c + 15 = -4*f + s. What is the units digit of f?
0
Let b be (1 - 2)*(-1)/(-3)*0. Let x(q) = -6*q + 157. What is the tens digit of x(b)?
5
Let t(u) = 6*u**3 + u**2 + 2*u + 2. Let i be t(-1). Let g = 175 - i. Suppose 3*z + g = 696. What is the tens digit of z?
7
Suppose 2*o + 6 - 16 = 0, -3*r - o + 239 = 0. Suppose -56 = 4*w - 5*v, -3*w = -0*w + v + 23. Let n = w + r. What is the tens digit of n?
6
Let p(u) = 5*u**2 + 27*u + 450. What is the ten thousands digit of p(-70)?
2
Let b be ((-2)/(-4))/(11/(-44)). Let o be (8/28)/(b/(-14)). Suppose -5*i + 594 = -4*h, o*h = -4*i + 477 + 19. What is the tens digit of i?
2
Let z = -1665 + 3010. Suppose -5*c + 3*f = -6847, -5*c + 5*f + 5500 = -z. What is the thousands digit of c?
1
Let d = -1183 - -724. Let s = d - -879. What is the hundreds digit of s?
4
Suppose -5*s - 10 = 5*f, 4*f + 10*s + 2 = 9*s. Suppose f = -6*r + 1390 + 1580. What is the hundreds digit of r?
4
Let t(j) = -3*j**3 - 3*j**2 + 3*j - 2. Let w be t(-3). Let c = -749 - -715. Let x = w + c. What is the units digit of x?
9
Let f(z) = 7*z**2 + 56*z + 1. Let r(d) = -3*d**2 - 28*d - 1. Let q(k) = -2*f(k) - 5*r(k). What is the units digit of q(-29)?
2
Let s = 449 + -447. Suppose 2206 