s**6/120 - s**5/60 - s**4/12 + s**3/2 - s**2. Let i be n(2). What is the units digit of 0/i + 1 - -1?
2
Let t(z) = -28*z + 12. Let b(x) = 7*x - 3. Let y(r) = 9*b(r) + 2*t(r). Suppose u - 17 = -0*u + 5*f, 0 = 3*u - 2*f - 12. What is the units digit of y(u)?
1
Suppose 0*g + g - 4 = 0. Let n = -2 + g. Let q = 3 - n. What is the units digit of q?
1
Let q be (-4)/1*(-10)/(-5). What is the units digit of q/28 + 46/14?
3
Suppose -4*r = -0*r - 144. What is the units digit of r?
6
Let v(j) = -50*j**3 + 2*j**2 - 1. What is the tens digit of v(-1)?
5
What is the units digit of (-2)/8*(-173 + 1)?
3
Let b be (-2)/((-8)/12) + 0. Suppose -6*q = -b*q - 48. What is the tens digit of q?
1
Let r = -6 + 2. Let j = 4 + r. What is the units digit of -3*(j + -1 - 0)?
3
Let h(v) = -v**3 + 9*v**2 - 2*v - 5. What is the units digit of h(6)?
1
Suppose -4 + 14 = -5*o. Let c = 3 + o. What is the units digit of c?
1
Suppose 36 = 2*m + 2*m. Let l = -5 + m. Suppose 2*k + z = 3*k - l, 4*z = 2*k + 2. What is the units digit of k?
9
Let q(u) = u**3 + 9*u**2 - 5*u + 17. What is the hundreds digit of q(-7)?
1
Suppose -3*z + 6 = -3. Suppose 2*j + 1 = z, 2*p - 10 = -2*j. Suppose -p = 4*n - 24. What is the units digit of n?
5
Let w be (-1 - 5)*-1 + -3. Suppose -w*y + 3 = -3. What is the units digit of y?
2
Let i = 73 - -3. What is the tens digit of i?
7
Let a be (-1)/(-3) + (-2)/6. Suppose 5 = -3*k - 2*g, 0 = 2*k + 5*g + 1 - 5. Let b = a - k. What is the units digit of b?
3
Let j = -1 - -3. Let p be 20/70 + 60/(-14). What is the units digit of 5 + p + 2 - j?
1
Let b(s) = -s**3 - s**2 - 7*s**2 - 4*s**2 + 2 + s**2 - s. What is the units digit of b(-11)?
3
Suppose c + 5*f - 27 = 0, 5*f = 4*f + 4. Suppose 5*j + 18 = c*j. What is the units digit of j?
9
Suppose 0 = 5*f + 4*d + 49 - 154, 2*d - 27 = -f. What is the tens digit of f?
1
Let i = 23 + -12. Suppose 0 = j - i. What is the tens digit of j?
1
Suppose -4*v = 5*y + 44, -y + 4*v - 28 = -0*v. What is the units digit of 3/(-1 - 14/y)?
8
Let t(a) = a + 6. Let k be t(0). Let c(s) = -s**3 + 7*s**2 - 7*s - 6. Let o be c(k). What is the units digit of (-15)/(-4) + (-3)/o?
4
Let r(v) = 4*v**2 + v + 7. What is the hundreds digit of r(-6)?
1
Suppose 7*g - 4*g = 4*s + 343, 0 = -2*g + 3*s + 228. What is the hundreds digit of g?
1
Suppose 0 = -q + 57 + 47. What is the units digit of q?
4
Let a(m) = 11*m + 3 - 3. Let g be -4 + 1 + 1 + 3. What is the tens digit of a(g)?
1
What is the tens digit of 12/(1/42*9)?
5
Let x = 105 - 63. What is the units digit of x?
2
Let r(a) = -a**3 - 10*a**2 - 10*a + 2. Let w(g) = g + 2*g - 2*g. Let o be w(-9). What is the units digit of r(o)?
1
Suppose w = -4*p + 62, 2*p = -p - 6. What is the tens digit of w?
7
Suppose 0*s - s + 4*w = 4, -5*s + 3*w - 3 = 0. Let c be (1/1 + s)/1. Let n(y) = 5*y**2 - 1. What is the units digit of n(c)?
4
Suppose -4*d + 5*y = -3*d + 11, 2*y = -d + 10. Let x(q) = -d*q + 5*q + 14*q**2 - q**2 + 3*q**2. What is the tens digit of x(1)?
1
Suppose p = -3*p. Suppose p = -i + 5 + 5. What is the units digit of i?
0
Suppose -3*i + 83 = -1. What is the tens digit of 2*(-12)/(-8) + i?
3
Let t(s) = 3*s - 6. Let u be t(5). Suppose -4*z + 43 = -u. What is the tens digit of z?
1
Let l be (-6)/10*(-15 - 0). Let i = l - 2. What is the units digit of i?
7
Let z(k) = 6*k**3 + 51*k**2 - 24*k + 24. Let d(v) = -v**3 - 10*v**2 + 5*v - 5. Let c(u) = -11*d(u) - 2*z(u). Let y = 15 - 8. What is the units digit of c(y)?
7
Let w be 3/(-9)*-2*-12. Let s be 22/6 - w/(-12). Suppose 5 - 17 = -s*b. What is the units digit of b?
4
Let s(a) = -a**2 + 14*a + 18. What is the units digit of s(10)?
8
Suppose 2*p - 6 = 3*r, 4*p - 6 = -r + 6. Suppose p*x = 4*x. Suppose x = 3*o - 10 - 17. What is the units digit of o?
9
Let a(u) = -8*u - 1. Let b(j) = -j**3 - 3*j**2 + j + 2. Let p be b(-3). What is the units digit of a(p)?
7
Let j(z) = -z**2 + z. Let p be j(0). Let c = -2 - -3. Let s = p + c. What is the units digit of s?
1
Suppose 2*p = -4*y + 20, 0*y - 4 = -y - p. Let k be (3*y - 1) + 1. Suppose 5*x - 4*i - 34 = 0, 0*x - 2*i = x - k. What is the units digit of x?
0
Let u = -9 - -5. Let z = 19 - u. What is the tens digit of z?
2
Let d = -3 - -2. Let p be (-3 - d) + 3 + 1. Suppose 4 = -0*w + p*w. What is the units digit of w?
2
Let g = -6 - -9. Let w(u) = 5*u. Let v be w(1). Suppose g*q = -5*p + 44, -p - 9 = v*q - 53. What is the units digit of q?
8
Let u = -31 + 88. What is the units digit of u?
7
Suppose 5*g = 3*g + 10. Let n be (-82)/g + 4/10. Let z = -6 - n. What is the units digit of z?
0
Let k be 20*16/20*-3. What is the units digit of k/(-2) + 4/2?
6
Let r = -14 - -7. Let s = r - -13. What is the units digit of s?
6
Let x(n) = -n**3 + 5*n**2 + 3*n + 1. Let v be x(5). Suppose -s + 3 = -v. What is the tens digit of s?
1
Let v(a) = -a**2 + 4*a - 2. Let l(w) = 2*w**2 + w - 1. Let u be l(1). Let j be v(u). Suppose -29 = -j*g + 1. What is the tens digit of g?
1
Let p(b) = -4*b + 4*b - 3*b + 3. What is the units digit of p(-4)?
5
Let r be (0/2 + 0)/3. Suppose r = 2*m + 3*m - 20. What is the units digit of m?
4
Suppose 6*b - 3*b - 15 = 0. Suppose 0*m = -b*a + 2*m - 53, -3*m - 3 = 0. Let g = a + 15. What is the units digit of g?
4
Let j(n) = -n + 25. What is the units digit of j(11)?
4
Let s = 3 - 1. Suppose s*y + 4*m = 0, 3*y - 20 = 5*m + 13. What is the units digit of y?
6
Suppose -5*h - 6*h + 1683 = 0. What is the units digit of h?
3
Let z(y) be the second derivative of -1/2*y**2 + 0 + y + 1/6*y**3. What is the units digit of z(9)?
8
Suppose -3*i - 5*v = 7, 3*i = -4*v + 2 - 7. What is the units digit of i?
1
Let v(i) = -3 - 4*i + 0*i + i. Let p be v(-6). Suppose -2*w = 5*b - w - 33, 0 = -5*w + p. What is the units digit of b?
6
Let f(n) = 4*n**2 - n + 260. What is the tens digit of f(0)?
6
Let z be 0/1 + (18 - -3). Suppose 5*m = -7 - 33. What is the units digit of 2/m + z/4?
5
Let z(m) = -31*m - 14. What is the tens digit of z(-4)?
1
Let a be 672/(-70) - (-2)/(-5). Let r(o) = -o**2 - 12*o + 12. What is the tens digit of r(a)?
3
Let k be (1/(-3))/((-1)/6). Let x be k/7 - 8/28. What is the units digit of (x + (-21)/(-12))*4?
7
Let j(n) = 4*n**3 + n**2 + 7*n + 5. What is the units digit of j(3)?
3
Let n = 231 + -147. What is the units digit of n?
4
Let c be 3 + -4 - (0 - 98). Suppose -c + 7 = -5*y. What is the tens digit of y?
1
Let a = 415 + -275. What is the tens digit of a?
4
Let x(h) = 18*h**2 + 6*h + 5. What is the tens digit of x(-3)?
4
Let t(i) = i**3 + 4*i**2 + 1. Let w be t(-4). Let l be (-6)/(-2) + (w - -6). What is the tens digit of 30/(5/(l/4))?
1
Let s = 33 - -13. Suppose -3*i = -5*p - s, 0*p + 1 = -2*i - 3*p. What is the units digit of i?
7
Suppose f + 0*f = 68. Suppose 0 = 3*z - 2*x - f + 23, -2*z - 3*x + 43 = 0. What is the tens digit of z?
1
Let y(u) be the third derivative of -u**6/120 + u**5/20 + 7*u**4/24 - 5*u**3/6 + 5*u**2. What is the units digit of y(4)?
7
Let m = 77 - 52. What is the units digit of m?
5
Let f(p) = 5*p - 1. Let r be f(1). Let k = -7 + r. What is the units digit of 8 - 2/((-3)/k)?
6
Let t be (-50)/6 + 4/(-6). Let m be (-2)/(-9) + (-124)/t. Suppose -3*a - 6 = 0, 4*k - 2*a = 42 - m. What is the units digit of k?
6
Let m = 530 + -367. What is the hundreds digit of m?
1
Let r = -42 + 111. Suppose 3*c - r = 45. What is the tens digit of c?
3
Suppose 0 = t - 2*t + 2. Let m be 149/t + (-3)/(-6). Suppose 5*o + 0*a - 80 = 2*a, -a - m = -5*o. What is the units digit of o?
4
Suppose 6 = 6*l - 138. What is the tens digit of l?
2
Suppose 2*g + 30 = -2*g - 5*x, 5*g + 5*x = -35. Let v = g + 6. What is the units digit of (v/(-2))/(1/(-10))?
5
Let u(c) = 6*c - 6. Let a be u(4). Let t be a/6*4/(-3). Let j(r) = -r**3 - 5*r**2 - 6*r - 2. What is the units digit of j(t)?
6
Suppose -3*j + 3 = 0, 5*o - 744 = -4*j - 150. Suppose -5*c + 152 = 2*u, 4*u + o = 4*c + 2*u. What is the tens digit of c?
3
Let a(o) = -57*o + 12. What is the hundreds digit of a(-6)?
3
Suppose -197 = -3*q - 4*j, -q - j - 54 = -2*q. What is the units digit of q?
9
Suppose j + 4 = 2. What is the units digit of (j/(-3))/(7/357)?
4
Let k = -12 + 32. Let d be k/(-15)*6/(-4). Suppose -v = -3*m + 35, d*m = 5*m - 3*v - 33. What is the units digit of m?
2
Suppose 0 = 4*j + 5*v - 3 - 16, -5*j = -2*v + 1. What is the units digit of (2 + -31)/j*-1?
9
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