s digit of u?
1
Let z(v) = -v + 8. Suppose 5*g - 14 = r + 3, g + 4*r = -5. Suppose 5*f = 2*s + 32, 3*s + 9 = 4*f - g*f. What is the units digit of z(f)?
2
Let s(o) be the first derivative of o**5/20 - o**4 + o**3/6 + 3*o**2/2 + 3*o - 1. Let a(k) be the first derivative of s(k). What is the units digit of a(12)?
5
Let c(y) = -y**3 + 7*y**2 - 4*y. Let v be c(5). What is the tens digit of (-5)/((-15)/2)*v?
2
Suppose -4*q - 40 = -388. What is the tens digit of q?
8
Let l(w) = -117*w**3 - w**2 - w - 1. What is the units digit of l(-1)?
6
Suppose i = 3*h - 7, -2*i = -2*h - 0*i + 10. Suppose -4 = l - 3*l. What is the units digit of (-19)/(-2) + h/l?
0
Let w(l) = 7*l**3 + 17*l**2 + 17*l - 9. Let k(h) = 3*h**3 + 8*h**2 + 8*h - 4. Let d(b) = 13*k(b) - 6*w(b). What is the units digit of d(-2)?
0
Let g(k) = -k - 7. Suppose -72 = 5*w - 2*h + 6*h, -3*w + h - 33 = 0. What is the units digit of g(w)?
5
Let d = 26 + -17. Suppose 0 = q - 5*y + 4*y + d, 0 = -3*y + 6. Let m(c) = -2*c - 1. What is the tens digit of m(q)?
1
What is the units digit of (12/(-10))/((-4)/90)?
7
Suppose 17*v - 173 = 16*v. What is the units digit of v?
3
Let g = 4 + -5. Let o be 10 + -1 - (g - -1). Suppose -3*t = o, -z - 4*t + 2 = 6. What is the units digit of z?
8
Let k(i) = -2*i - 15. Let c be k(-7). What is the units digit of 1/((-30)/31 - c)?
1
Suppose -n + 4*i = -19, 3*i = n - 3*n - 6. What is the tens digit of 16 + (-6)/2 + n?
1
Let a = -12 - -248. What is the hundreds digit of a?
2
Suppose 0*h + 30 = 6*h. Suppose 28 = 7*m - h*m. What is the tens digit of m?
1
Suppose -4*l = -l - 153. What is the units digit of l?
1
Suppose -4*s = -j - 12, 4*j - 3*j - 4 = -4*s. Suppose s*k - 60 = -3*k. What is the units digit of k?
2
Let r(n) = 2*n**3 - 3*n**2 - 9*n + 3. What is the units digit of r(4)?
7
Let z = 3 - 4. Let t = z + 0. Let r(j) = -10*j**3 + j. What is the units digit of r(t)?
9
Let i(r) = r**3 - r**2. Let k(n) = 7*n**3 + 5*n. Let j(t) = -6*i(t) + k(t). Let m be j(-5). Let x(q) = q**2 + q + 7. What is the units digit of x(m)?
7
Suppose -4 = 8*i - 12*i. Suppose -i = -3*x + 17. What is the units digit of x?
6
Let h(y) = y**3 - y**2 + 7. Let i be h(0). Suppose 0 = -5*q + i*q - 28. Suppose 3*a - 5*a + q = 0. What is the units digit of a?
7
Let j(k) = -k**2 - 11*k + 5. What is the units digit of j(-9)?
3
Let k = 7 + -3. Let v = 0 - -2. Suppose -3*g + 3 = -v*d + k, -2*g + 18 = d. What is the units digit of d?
8
Let i be ((-7)/(-21))/(2/6). Suppose h - 68 = -2*h - n, i = -n. What is the tens digit of h?
2
Let b = 66 + -17. What is the tens digit of b?
4
Let f(w) = 3*w**3 - 8*w**2 + 4*w - 4. What is the tens digit of f(5)?
9
Let r = -13 - -11. Suppose 2*c - 4 = b, 3*b + b - 10 = -5*c. What is the units digit of (b - 27)*r/6?
9
Let j(r) = r**3 - 3*r + 2. Let z(g) = g**3 - 7*g**2 + g - 9. Let t be z(7). Let a be (-3 - -3) + t/(-1). What is the units digit of j(a)?
4
What is the units digit of ((-32)/(-10) + -2)*250?
0
Suppose -5*x - l = -124, 0 - 1 = l. What is the tens digit of x?
2
Let z(f) = -f**2 + 6*f + 7. Let j be z(7). Suppose 2*m + j = 30. Suppose -m = -3*x + 9. What is the units digit of x?
8
Suppose 0 = -s - 4*s - 10. Let k(y) be the third derivative of y**5/30 + y**4/12 - y**3/3 + 2*y**2. What is the units digit of k(s)?
2
Let k = 67 - 31. Suppose -3*f = f - k. What is the units digit of ((-15)/f)/(-1)*3?
5
Suppose 4*p - 2*j + 24 = 2*p, -2*p + 4*j - 28 = 0. Let r = p + 3. What is the units digit of (-2)/r - 47/(-7)?
7
Let p(m) be the first derivative of -5*m**3 - m**2/2 + m - 2. Let l be p(1). What is the units digit of (10/l)/(2/(-18))?
6
Suppose 0 = -3*k - 4*g - 4, 4 = 2*k + k - 4*g. Suppose 12 = -k*h + 2*h. What is the units digit of h?
6
Let w(t) be the second derivative of -t**4/12 + t**3 - t**2 - 2*t. Let o be w(5). Suppose -5*i = -20, -o*l - i + 31 = -0*i. What is the units digit of l?
9
Let c(u) = -85*u**3 + 2*u + 1. Let k be c(-1). Suppose n = -3*n + k. What is the tens digit of n?
2
Let m(v) = v**2 - 5*v + 6. Suppose 4*h - 2*o - 12 = 0, -11 = -5*h + 2*o + 5. What is the units digit of m(h)?
2
Suppose g - 49 = p, -3*p - p - 61 = -g. Suppose -25 = -3*b + x + 4, 3*b - g = -3*x. What is the units digit of b?
1
Let d = 100 - 64. Let b(n) = 8*n + 18. Let r be b(-5). Let x = d + r. What is the units digit of x?
4
Suppose -m = -3*m + 2. What is the units digit of m?
1
Let w(b) = b + 1. Let f = 3 + 3. What is the units digit of w(f)?
7
Suppose 0 = 4*k - 3*k + 18. What is the units digit of (k/8)/(9/(-24))?
6
Let u(x) = x**3 - x**2 - 4*x - 1. Suppose -11 = 5*y - 26. Let l be u(y). Suppose 0 = 4*s - 11 - l. What is the units digit of s?
4
Let t be ((-1)/(-2))/(5/40). Suppose -57 = -2*m - 5*g - 0*g, -t*m + 127 = -3*g. What is the units digit of m?
1
Suppose -2*h + 38 = -o, 2*o = o + 2. What is the tens digit of h?
2
Suppose 257 = -4*z + 705. What is the hundreds digit of z?
1
Let s = -11 + 27. What is the units digit of s?
6
Let s(l) = -3*l**2 - 11*l - 10. Let v(z) = -5*z**2 - 16*z - 15. Let q(d) = 8*s(d) - 5*v(d). What is the units digit of q(9)?
4
Suppose 528 = 5*a + q, -6*a = -5*a + q - 108. What is the units digit of a?
5
Suppose 0 = -4*o + o + 15, 0 = -3*w - 4*o + 155. What is the tens digit of w?
4
Let m(g) = g**3 + 5*g**2 - 7*g + 1. Let w be m(-7). Let f = 95 + w. What is the tens digit of f?
4
Let p(r) = 2*r**2 + 6*r + 1. Let d = -4 - 0. What is the units digit of p(d)?
9
Suppose 0 = -3*f - 2*o + 86, 0*f - 2*o = 4*f - 118. What is the tens digit of f?
3
Let z(b) be the second derivative of b**3/6 + 2*b. Let n be z(7). Suppose -5*a - n = -77. What is the tens digit of a?
1
Let d(s) = -4*s + 4. Let h be d(6). What is the units digit of h*-1*6/8?
5
Let l(p) = p**3 + p**2 + 5. Let h be l(0). Let k(r) = -r**2 + 4*r + 7. Let z be k(h). What is the units digit of (7/((-14)/(-12)))/z?
3
Let n be 2/(-6)*(-1 - 2). Let m = n - -6. Let g = -4 + m. What is the units digit of g?
3
Suppose -10*b = 255 - 2085. What is the units digit of b?
3
Let u(j) = -5 + 6 + j + 2*j. Let c be u(2). Suppose -v + c = -1. What is the units digit of v?
8
Let d be 1*-91 + (-5)/(-5). Let a = d - -136. What is the units digit of a?
6
Let k be 6/4 + 1/(-2). Let c = 3 - k. Suppose 0 = -3*f + c*j + 36 - 9, 2*f - 18 = 3*j. What is the units digit of f?
9
Let f = 12 - 7. Suppose f*q - 1 = 4. What is the units digit of 0 - (q + -8 + -2)?
9
Let q(d) be the third derivative of -d**5/60 - 7*d**4/12 - d**2. What is the units digit of q(-13)?
3
Let f(t) = t**2 - 12*t + 11. What is the units digit of f(12)?
1
Suppose 0 = -m - 5*d - 13, 5*d - d + 23 = -5*m. Let v = 0 - m. Let y = v + 11. What is the tens digit of y?
1
Let i = -5 - -9. What is the units digit of i?
4
Suppose 390 = 5*z + i - 4*i, -182 = -2*z - 4*i. Suppose 0 = -0*p - 2*p - 3*r + 35, 5*r = 4*p - z. What is the units digit of p?
9
Suppose -4*n + 28 = 3*a + 2*a, 0 = 2*n + 3*a - 16. Let p(o) = -o**2 + 2 + 2*o**n - 7. What is the tens digit of p(5)?
2
Suppose -4*j + 20 = 0, -5*l = -l - 3*j + 15. Let u = -2 - l. Let z = u + 6. What is the units digit of z?
4
Let d(o) = -3*o - 3. Suppose 4*w = -3*k + w - 21, -2*k - 16 = 3*w. Let j be 6*((-10)/(-4))/k. What is the units digit of d(j)?
6
Let b(s) = s - 12. Let u be b(8). Suppose -3*f = -0*f - 33. Let m = f + u. What is the units digit of m?
7
Suppose -d - 32 = -3*d. Let i = -7 + d. What is the units digit of i?
9
Let q(l) be the third derivative of -l**5/60 + l**4/4 - l**3/2 - l**2. Let a be q(5). Suppose 40 = 7*b - a*b. What is the units digit of b?
8
Suppose 0*d + 2*g = -5*d + 1139, 0 = 3*g - 6. What is the hundreds digit of d?
2
Let u be (-1 - 1)/((-24)/(-204)). What is the tens digit of (-1)/(-1)*(1 - u)?
1
Let y(a) = -4 + 0*a**2 + a**2 + 7*a - 4. Let h be y(-7). What is the units digit of (h/(-24))/(2/42)?
7
Suppose -104 = -5*c - 2*w, -c + 6 + 8 = -3*w. What is the units digit of c?
0
Let o(t) = -t**2 - 8*t + 4. Let c be ((-8)/(-2))/(2 - 0). Suppose -8 = 3*g - c*g. What is the units digit of o(g)?
4
Let i = -4 + 13. Let c = -4 + i. Suppose 5*o - 4*v = 45, -3*o + 27 = -0*o + c*v. What is the units digit of o?
9
Let f(n) = -n**3 + 29*n**2 + 43. What is the tens digit of f(29)?
4
Let z = 37 + -39. Let r(g) = 13*g - 2. Let i(f) = -6*f + 1. Let p(d) = 7*i(d) + 3*r(d). What is the units digit of p(z)?
7
Suppose 2*w 