w - -11)?
6
Let i = 5540 - 3921. Let f = i + -872. What is the units digit of f?
7
Let j be -6*1175/10 - 4. Let k = 1277 + j. What is the tens digit of k?
6
Suppose -12*x = 5*x - 30226. Suppose -18*q - x = -32*q. What is the units digit of q?
7
Let c = 145 + -143. Suppose 952 = c*p - 2*a - 444, 0 = -4*p + a + 2798. What is the hundreds digit of p?
7
Suppose -249 = -10*x + 16091. Let i = x - 1046. What is the units digit of i?
8
Let f(v) = 7*v**2 - 53*v - 290. What is the thousands digit of f(-21)?
3
What is the thousands digit of (2*9/30)/(2/86210)?
5
Let r be ((-9)/15 - (-3)/5) + -377. Let z = -331 - r. What is the tens digit of z?
4
What is the hundreds digit of (9/(-9))/(4/(-12560))?
1
Let v = -2722 - -7165. What is the units digit of v?
3
Let z(a) = -7*a - 2. Let r be z(-1). Suppose 0*i - 3*w + 25 = r*i, -i + 5 = -w. Suppose -2*t + i*t = 183. What is the units digit of t?
1
Let k(o) = 8*o**2 - 280*o + 302. What is the thousands digit of k(40)?
1
Suppose -48 = -n - 45, 2*b = 5*n - 11. Let h(w) = w + 2. Let l be h(0). Suppose b*m - 17 = -2*r + 41, -10 = l*m. What is the units digit of r?
4
Let x(g) = g**2 + 31*g + 66. Let w be x(-33). Suppose -11*h + 638 = w. What is the units digit of h?
6
Let y = 89 - 105. Let t(m) = -15*m - 41. What is the hundreds digit of t(y)?
1
Let v(l) = -1103*l - 7862. What is the tens digit of v(-13)?
7
Let j(a) = 4*a**2 - 3*a + 1. Let v be 2/(-3) - (4 - (-805)/21). Let u = v - -46. What is the tens digit of j(u)?
2
What is the hundreds digit of 215*404/10 - -22?
7
Let j(k) = -k**3 + 48*k**2 + 23*k + 395. What is the thousands digit of j(45)?
7
Suppose 11237 = 3*n + d, 3*n + 4*d = 2*n + 3753. What is the units digit of n?
5
What is the units digit of -450*2*(-18)/20?
0
Let h(u) = u**2 - 6*u. Let c be h(6). Let j(r) = 7*r - 1. Let g be j(c). What is the tens digit of (305 - g)*2/3?
0
Suppose -70*j + 75*j + 14807 = 4*o, o + j - 3713 = 0. What is the hundreds digit of o?
7
Let o(z) = 34*z - 38. Let f be o(7). Suppose f*x = 195*x + 4520. What is the hundreds digit of x?
9
Suppose 0*t - 30 = 5*t. Let v be (4/(-5))/((t/5)/3). Suppose -v*f = 16 - 198. What is the tens digit of f?
9
What is the hundreds digit of -3*5/(-6) + (117620/8 - 2)?
7
Let w(s) be the first derivative of 196*s**3/3 - 18*s**2 + 76. What is the units digit of w(-2)?
6
Let w be ((-8)/(-32) - 0)*-8. Let a(h) = 161*h**2 - h + 3. What is the units digit of a(w)?
9
Let t(w) = 86*w + 33*w**2 + 5 - 1 - 111*w - 2*w**3 + w**3. What is the tens digit of t(32)?
2
Let b(c) = -124*c**3 - 2*c**2 - 6*c - 5. Let z(o) = -o**2 - 16*o + 16. Let s be z(-17). What is the tens digit of b(s)?
2
Let p be 3/(-21) + 1074/21. Let c = -54 + p. What is the tens digit of (2 - 1)*c*-46?
3
What is the tens digit of 132776/22 + 300/(-1100)?
3
Suppose 5*d - 9050 = -5*p, 5*p - 7237 = 121*d - 125*d. Let f = d - 1066. What is the hundreds digit of f?
7
Let c(d) = -20*d**2 + 2*d. Let w(l) = -l**2 - 3*l + 17. Let j be w(-6). Let t(v) = v. Let a(x) = j*c(x) + 3*t(x). What is the tens digit of a(2)?
8
Let f be 4/24*20 + 4/6. Suppose -a - 5*u = f*a - 20, a - u = 0. Let k(b) = 22*b**3 - b**2 + 4*b - 4. What is the hundreds digit of k(a)?
1
Suppose 73*t - 24 = 70*t. Suppose t*d - 389 = 1851. What is the hundreds digit of d?
2
Suppose 3*m - 2*x = 2900, 4*m - 4*x + 2*x = 3866. What is the units digit of m - (4 + 0 + -3 + -1)?
6
Suppose -20*s + 156 = -16*s. Suppose -38*n + s*n - 815 = 0. What is the hundreds digit of n?
8
Suppose 4*i - 11 = 37. Suppose 0 = 17*z + 20*z - 370. Let d = i - z. What is the units digit of d?
2
Let c(u) = -27*u**3 - u**2 + 37*u + 108. What is the tens digit of c(-3)?
1
Suppose 2*l + 5*k - 40 = 0, -4*k + 5 = -l + 12. Suppose 5175 = l*q - 510. What is the tens digit of q?
7
Let y = -9043 - -14147. Suppose 0 = 8*g + 8*g - y. What is the tens digit of g?
1
Suppose 0 = 60*q - 439825 - 141995. What is the thousands digit of q?
9
Suppose 0 = 44*v - 40*v - 12. Suppose 484 = 3*x - 5*j - 719, 0 = -x + v*j + 397. What is the units digit of x?
6
Let z = -167 - -172. Suppose 0 = z*m - 1013 - 157. What is the hundreds digit of m?
2
Let c(v) be the third derivative of -v**5/60 + 77*v**4/24 + 29*v**3/2 + 139*v**2. What is the hundreds digit of c(33)?
5
Suppose 3*a = -t + 29, -a - 2*a = -5*t + 91. Let c = t + -38. What is the units digit of (-277)/(-3) - 3*4/c?
3
Suppose 0 = 4*x - 17*x. Suppose 3*k - 2358 = -5*t, 0 = -x*k - 3*k + 5*t + 2328. What is the hundreds digit of k?
7
Let u(g) = g**3 + 14*g**2 - g + 61. Let o be -16 - (11/((-22)/8) + -1). What is the tens digit of u(o)?
3
Let c = -299 - -8289. What is the thousands digit of c?
7
Let r = 317 + -179. Let f = 816 - r. What is the hundreds digit of f?
6
Let p(y) = 6*y**2 - 32*y - 281. What is the hundreds digit of p(-85)?
7
Suppose -45*o + 20 = -41*o. Let k(r) be the first derivative of 6*r**2 + r + 1. What is the tens digit of k(o)?
6
Suppose 2*t = 2*n - 7*n + 37, 0 = -3*n - t + 22. Let x(z) = 20 + 12*z + 4 + n*z. What is the tens digit of x(6)?
3
Suppose -b - 78 = -2*i - 5*b, 3*i - 2*b - 141 = 0. Suppose -i = -o + 65. Suppose o*s - 115*s = -925. What is the tens digit of s?
8
Let o(c) = 231*c - 51. Let t be o(-7). Let j = t - -3016. What is the units digit of j?
8
Let v be 10/15 + 25840/12. Suppose -5*y + v = 3*i, 4*y - 7*i = -12*i + 1718. What is the tens digit of y?
3
Let o(s) be the third derivative of -4*s**2 + 1/6*s**4 + 0*s - 1/60*s**5 + 0 + 1/60*s**6 - 2/3*s**3. What is the tens digit of o(3)?
5
Let g = 10626 - -7121. What is the ten thousands digit of g?
1
Suppose 4*g + g + 3075 = 3*l, 3*l = -g - 597. What is the tens digit of ((-220)/66)/((-2)/g*-2)?
1
Suppose 5*p + 171 = -3*k, -3*k - 42*p + 39*p = 177. Suppose 5*w - 497 = -3*z, 3*w - 303 = 2*z + z. Let i = w + k. What is the tens digit of i?
3
Suppose -2*t = -4*j + 214 - 78, 3*t - 6 = 0. Let a(u) = -6 - 92*u + 94*u + j. What is the units digit of a(11)?
1
What is the units digit of 13344 + (4/24*6 - 4)?
1
Let o(p) = 3*p**2 - 34*p - 418. What is the units digit of o(120)?
2
Suppose 12*s = 26370 - 12121 + 49567. What is the thousands digit of s?
5
What is the units digit of -2*(8 + (-161)/14) - -7011?
8
Let h = -38 - -44. Let t = 9 - h. Suppose -n - t*g + 17 = 0, -3*n + 5*g = -4*n + 13. What is the tens digit of n?
2
Let y = 11263 - 6580. What is the thousands digit of y?
4
Let a(g) = g + 3. Suppose 0 = 7*i - 4*i - 18. Let v be a(i). What is the tens digit of 2/(-6) + (4 - (-2361)/v)?
6
Let n be ((-18)/(-15))/(4/(-10)) + 4964. Suppose -2689 = -17*i + n. What is the units digit of i?
0
Suppose 0 = 3*v - 5*g - 225767, 2*v - 30330 = 2*g + 120176. What is the hundreds digit of v?
2
Let k = 39 + -37. Suppose -x + 2*a - 3*a = -163, k*x = -4*a + 334. Let b = 416 - x. What is the tens digit of b?
5
Suppose -24*b = -54*b + 359310. What is the units digit of b?
7
Let i(m) = -6*m - 42. Suppose 0 = 6*d - 4*d + 16. Let o be i(d). Let a(t) = 11*t - 12. What is the tens digit of a(o)?
5
Let o = 20184 - 10348. What is the tens digit of o?
3
Suppose 17*a = 14*a + 6. Suppose 0 = k - 2*r - 0 - 1, 0 = -a*k + 5*r. Suppose -k*s - 807 + 178 = -4*i, 3*i - 438 = -3*s. What is the hundreds digit of i?
1
Let g(p) be the first derivative of -p**4/4 - 4*p**3/3 + 5*p**2/2 + 12*p + 1. Let n(i) = 272*i + 267. Let c be n(-1). What is the tens digit of g(c)?
1
Suppose 8638 + 17153 + 23478 = 3*w. What is the thousands digit of w?
6
Let r be ((-66)/4)/((1 + -2)/(-4)). Let f = 33 + r. Let a = 19 - f. What is the units digit of a?
2
Suppose r = -5*a + 3, 3 = -4*a - r + 2*r. Let p(g) = g**3 - g**2 - g + 1. Let l be p(a). Let n(t) = 79*t**2 - t + 2. What is the units digit of n(l)?
0
Let d(s) = s**2 - s + 16. Let b be d(0). Let q be ((-2)/(-4))/(2/b). Suppose -10 = q*r - 106. What is the units digit of r?
4
Suppose 51*n - 160024 - 447590 = 0. What is the hundreds digit of n?
9
Suppose -3*i + 9340 = i - 32852. What is the thousands digit of i?
0
Let v = -510 + 510. Suppose 8*g - 17*g + 11826 = v. What is the hundreds digit of g?
3
Let j(x) be the first derivative of -x**3/3 + 5*x**2/2 + 4*x + 2. Let s be j(6). What is the units digit of 1*15/5 + s?
1
Let j = -70 - -72. Let x be j - (24/32)/((-2)/8). Suppose 2*o = -3*f - 0*o + 169, -x*o - 79 = -f. What is the tens digit of f?
5
Let v = -19514 - -22902. What is 