?
7
Suppose 68 = -9*k + 26*k. Suppose 0 = -s + 5, 19*n - 3493 = 16*n + k*s. What is the units digit of n?
1
Let r(m) be the second derivative of -m**5/20 - 5*m**4/6 - 7*m**3/3 - 10*m**2 + 7*m. Let w be r(-9). What is the units digit of w*(-20)/75*-3?
0
Let a(k) = -16*k - 22. Let u be (-88)/77 - (-2)/(-28)*-2. Let m be (-2 - u) + -10 - 6/(-3). What is the units digit of a(m)?
2
Let z be (2/(-4))/(1/36). Let r = z + 20. Suppose -4*c + r*v = -540, 0 = -c - 2*c + 2*v + 403. What is the units digit of c?
7
Let w = -169 + 240. Let v = w - 68. Suppose -2*f = -4*t - 206, -3*f + 233 = v*t - 76. What is the units digit of f?
3
Suppose 16137 - 369 = 4*p. Suppose 0 = 9*h - 0*h - p. What is the units digit of h?
8
Suppose 20*q - 15*q - 16826 = -m, 3362 = q + m. Let v = q + -1559. What is the thousands digit of v?
1
Suppose 0 = -l + 5*h - 385 + 35261, -4*h = 4*l - 139696. What is the thousands digit of l?
4
Let f = -492 - -487. What is the units digit of (2/5)/(f/(-7125))?
0
Let s = 214 - -299. Suppose 4*z + 2*a - 1157 - s = 0, z - 4*a - 431 = 0. What is the units digit of z?
9
Let x(h) = 10*h**3 - 4*h**2 - h - 7. Let p be x(7). What is the tens digit of (-3)/(913/p - 36/126)?
8
What is the tens digit of -6*(-45358)/(-14)*(-63)/54?
7
Suppose -5*y = -20266 - 63504. What is the ten thousands digit of y?
1
Suppose -q = -11*q + 50. Let i be -101 - (q + 1 + -2). What is the units digit of 15/(-4 + i/(-24))?
0
Let v be 1 + -2 + 10/5. Let t be (v + 0)/((-3)/(-9)*1). Suppose -t*k + 36 = 9. What is the units digit of k?
9
Suppose 0 = -3*g + 8*g + 5, -3*g = 2*r - 5. Suppose 1071 = 3*m + 3*i, r*i = -m + 6*i + 369. What is the hundreds digit of m?
3
What is the thousands digit of (-2 - -1 - -21465)/(82/123)?
2
Suppose -4*f = -83 - 61. What is the units digit of (-1487)/(-4) - 9/(f/(-1))?
2
Let g be (-9)/(-18) + (-29)/(-2). Let l(i) = 38*i - 26 - 42*i + 9*i. What is the units digit of l(g)?
9
Suppose 13*v - 2*v - 40612 = 0. What is the tens digit of v?
9
What is the units digit of 104/(-44) - -2 - 4597376/(-704)?
0
Let p be (8/(-4) + -1 - 0) + 5. What is the tens digit of p/(-4)*((-2486)/2 - -5)?
1
Let g(q) = 177*q**2 - 10*q. Let o be g(-2). What is the tens digit of (-6)/(-18) - o/(-3)?
4
Let x(h) = h**3 + 6*h**2 + h + 4. Suppose 4*r + 19 = -1. Let q be x(r). What is the hundreds digit of 2*(-15)/q*-92?
1
Let q = 3877 - 2254. What is the tens digit of q?
2
Suppose -30*l = -6*l + 1008. Let x(o) = o**2 + 20*o + 136. What is the tens digit of x(l)?
6
Suppose 849 = -11*k - 1439. Let r = 760 + k. What is the units digit of r?
2
Let v(c) = -10*c**3 - 14*c**2 + 74*c + 833. What is the hundreds digit of v(-13)?
4
What is the ten thousands digit of 388/970 - 51888/(-5)?
1
What is the hundreds digit of ((-2693)/2)/((-69)/138)?
6
Let i(n) = 37*n - 24. Let w = -68 + 73. Suppose -w*c + 4*t - 6 = -4*c, -6 = -2*t. What is the units digit of i(c)?
8
Let f = -70 - -71. Let c be (((-5)/4)/((-1)/(-12)))/f. Let d(y) = -6*y - 5. What is the units digit of d(c)?
5
Let y = 11122 - -2081. What is the tens digit of y?
0
Let q(x) = 102*x + 26. Let s be q(-5). Let l be (-10)/15 - s/6. Let m = -22 + l. What is the units digit of m?
8
Suppose -210*p + 9*p = -297279. What is the thousands digit of p?
1
Let f be ((-63)/(-18))/(0 + 2/4). Suppose f + 28 = 7*h. Suppose -h*o + 53 = -82. What is the units digit of o?
7
Suppose 4*k - 4*d = 16376, 0 = -4*k - 32*d + 28*d + 16408. What is the tens digit of k?
9
Suppose -f + 6068 = 4*i, -i - 1661 = 5*f - 31868. What is the hundreds digit of f?
0
Suppose 5*b + 25 = 0, 3*b + 54403 = 4*i + 1976. What is the tens digit of i?
0
Let j(l) = 36*l + 12. Let x(z) = -1. Let a(m) = -j(m) - 3*x(m). Let f be a(-24). Suppose 0 = 20*d - 15*d - f. What is the units digit of d?
1
Let g be 4/(-2)*(-267)/2. Let p(l) = -274*l + 2930. Let r be p(8). Suppose 5*q + 3*x = r, x + 173 + g = 3*q. What is the tens digit of q?
4
Let v be (16 + -10)/(15/5). What is the hundreds digit of (-11585)/(-9) + v + (-12)/54?
2
What is the thousands digit of (0 - 4/12)*-13896 - 0/(-1)?
4
Let z = 32 + -24. Let y = z - -4. Let p = y + 5. What is the units digit of p?
7
Suppose 3822*d - 840123 = 3811*d - 36771. What is the units digit of d?
2
Suppose 136*f - 98*f = 559892. What is the hundreds digit of f?
7
Let i be ((-3)/2)/(18/(-48)). Let g be 3*(-1)/(-12)*i. What is the units digit of ((-182)/4)/(-1)*2*g?
1
Let q(b) = -4*b**3 + 5*b**2 + 57*b - 424. What is the tens digit of q(-17)?
0
Suppose 0*u - 41 = -5*u + 4*f, -f = 4. Suppose -3*b + 0*r = 3*r, -u*b + 3*r = 32. What is the units digit of (2/b*0)/(-2) - -131?
1
Let w(m) = -m**2 - 112*m - 1302. What is the hundreds digit of w(-71)?
6
Let w = -71897 + 122983. What is the thousands digit of w?
1
Suppose 87*b + 8333 + 715 = 0. Let a be 71/(-2) - (-1)/(-2). Let v = a - b. What is the units digit of v?
8
Suppose 0 = j + 4, 5*o + 2*j + 107 = -j. Let h = o - -27. Let w(f) = 13*f - 15. What is the units digit of w(h)?
9
Let b be 7 + (5 - 10) - -2. Suppose 41 - 597 = -b*n. Suppose -5*t = -2*h - n, 5*t - 8*t = 2*h - 77. What is the units digit of t?
7
Let y = -31 + 40. Suppose 64 = y*f - 359. Suppose f*r = 43*r + 508. What is the hundreds digit of r?
1
Let m = -162 - 171. Let g be (-939)/(-2) - (3 - 18/4). Let a = m + g. What is the units digit of a?
8
Let c(k) = -7*k + 7404. What is the tens digit of c(0)?
0
Let a = -583 + 750. Let k = a - -1248. What is the hundreds digit of k?
4
What is the thousands digit of (42/(-56) + (-5)/4)*2855/(-2)?
2
Suppose -2*x - 12 = -q, -21 = 5*q + 5*x - 6. Suppose -10*z = -3*m - 7*z + 2442, -5*m = -q*z - 4055. What is the hundreds digit of m?
8
Suppose -457 = -i - c, c = 4*c + 3. Suppose 69 = 17*u - i. What is the units digit of u?
1
Let y be ((-18)/4)/(36/(-24))*545. Let z = y + -859. What is the units digit of z?
6
Suppose -5*o + w + 282 = 0, -5*w + 39 = 3*o - 119. Suppose 52*u + 7744 = o*u. What is the thousands digit of u?
1
Let f = -57 + 87. Let x = -27 + f. Suppose 0 = 2*o + 4*w - 52, -x*o + 34 = w - 6*w. What is the units digit of o?
8
Suppose -4*d + 5*u = 9, 4*u + u = -15. What is the units digit of 3780/(-40)*(d + 0)?
7
Let l = 81 + -77. Suppose 3*h - 5*a = -106, l*h - a + 147 = -0*h. Let k = h - -130. What is the tens digit of k?
9
Let g be 417*(-6)/15*(-30)/36. Let i = 462 - g. What is the units digit of i?
3
Let i(n) = 3*n + 2. Let f(d) = d. Let z(q) = 5*f(q) - i(q). Let p be z(4). Suppose p*m - 273 = 3*m. What is the units digit of m?
1
Let j(a) = 6*a**2 + a - 2. Let o be j(1). Suppose -15*t = -14*t - o. Suppose t*s + 4*w = 499, -3*s + 400 = s + 4*w. What is the units digit of s?
9
Let d(v) be the third derivative of -3*v**5/40 - v**4/4 - v**3/2 - 12*v**2. Let b(k) be the first derivative of d(k). What is the units digit of b(-6)?
8
Let y(t) = -10*t**3 - 6*t**2 + t + 26. What is the hundreds digit of y(-8)?
7
Suppose 7*u - 12*u + 10 = 0. Suppose 2*s = s + u*t - 2, -3*s - 3*t = 6. What is the hundreds digit of s/(((-52)/(-408))/(-13))?
2
Let f(i) be the third derivative of i**4/24 - 19*i**3/6 + 14*i**2. Let p be f(17). What is the tens digit of (-50)/p*(144/(-10))/(-4)?
9
Let l(p) = 3*p**2 + 210*p**2 + 2*p - 320 + 323. Let t be l(-2). Suppose -2*g = -5*g - 4*v + 646, 5*v + t = 4*g. What is the units digit of g?
4
Let n(i) = 914*i - 2297. What is the thousands digit of n(19)?
5
Let w(j) = 32*j - 10. Let f(k) = 91*k - 31. Let x(q) = -4*f(q) + 11*w(q). What is the hundreds digit of x(-15)?
1
Let b(z) be the second derivative of z**4/12 - 5*z**3/6 + 5*z**2/2 - 27*z. Let t be b(5). What is the tens digit of ((-460)/25 - t)/((-2)/10)?
1
Let q = -66 + 46. Suppose -6*n = -4*n - 216. Let f = n - q. What is the units digit of f?
8
Suppose -5*v = -9*v + 16. Let c be (v/(-1))/(19/(-38)). Suppose 12*a - 68 = c*a. What is the units digit of a?
7
Suppose 3*o - 6*g = 69399, 5*o = -14*g + 9*g + 115560. What is the thousands digit of o?
3
Suppose 0 = 55*h - 44*h - 3487. Suppose h = 8*l - 4579. What is the units digit of l?
2
Let b = 106 - 261. Let a = b + 324. Let p = a - 97. What is the units digit of p?
2
Suppose -2*h + 130 = -0*h. Let f be ((-25)/((-2625)/30))/((-2)/(-182)). What is the units digit of 1*((-4)/f - (-10865)/h)?
7
Suppose 3*s - 51319 = -7*s + 74231. What is the units digit of s?
5
Suppose -11*u + 9*u - 19 = -3