- -13. Suppose -4*k + k + 33 = 2*p, 3*p + 4*k = 49. Let b = d + p. What is the units digit of b?
6
Let n(y) = y**3 + 6*y**2 + 4*y + 5. Let h be (-2)/(-12)*3*-8. Let a be n(h). Let q = a + -3. What is the units digit of q?
8
Suppose 3*i - 6*i - 15 = 0. Let h = i + 7. Suppose q = h*q + 5*c, -2*q + 7 = 3*c. What is the units digit of q?
5
Let n(a) = -3*a**3 - 3*a - 2. Let f be n(-2). Suppose -f = -5*c + 42. What is the units digit of c?
4
Let f = 27 - -23. What is the units digit of f?
0
Suppose 3 = b - 3. Let r(a) = 4*a - 8. What is the units digit of r(b)?
6
Let k(m) = 12*m + 4. Let h(x) = 13*x + 4. Let v(b) = -4*h(b) + 3*k(b). What is the tens digit of v(-2)?
2
Let k(p) = 3*p + 1. Let h be k(-3). Let v = h - -22. What is the tens digit of v?
1
Let b(r) = -r**3 - 8*r**2 - 8*r - 4. Let y be 2 + -7 + 1 + -3. What is the units digit of b(y)?
3
Suppose -2*r = 2, 4*k + 4*r + 0*r - 68 = 0. What is the tens digit of k?
1
Suppose 78 - 278 = -4*y. What is the units digit of y?
0
Let r be (1 - 33/(-15))*-5. What is the tens digit of ((-13)/4)/(4/r)?
1
Suppose -5*s + 645 = 5*m, -m = 4*m - 4*s - 663. What is the hundreds digit of m?
1
Let m be 2/6 - 2/6. Suppose m = 2*t - 0*t - 8. Suppose 2 - t = -o. What is the units digit of o?
2
Suppose -5*h - 4*x = -380, -x - 3 = 2. What is the units digit of h?
0
Let k = -73 - -110. What is the tens digit of k?
3
Suppose -3*q + 6 = -12. What is the units digit of q?
6
Suppose 2*p + 47 = -5*x, 0*x - 48 = 5*x + 3*p. Let v = x + 19. Suppose -v + 4 = -f. What is the units digit of f?
6
Suppose 0*l + 2*l + 5*g - 552 = 0, -3*g + 274 = l. What is the hundreds digit of l?
2
Suppose -g - 45 = 5*c, -60 = 4*g - 0*g - 4*c. Let l be (-145)/g + 2/(-8). Suppose -i - 2 = -l. What is the units digit of i?
5
Let m = -7 - -74. What is the tens digit of m?
6
Let z(u) = -u**3 + 14*u**2 + 22*u + 17. What is the tens digit of z(15)?
2
Suppose -136 = -3*d + k, 2*d - 54 = -3*k + 22. What is the units digit of d?
4
Suppose -5*m - 3*k + k = -67, 3*m = -3*k + 42. What is the tens digit of m?
1
Let s be 3*(1 + 2 + -2). Suppose 5*f + 4*z - 19 = 0, -s*f + 8*z + 41 = 3*z. What is the units digit of f?
7
Let z(w) be the second derivative of 7*w**4/12 - w**2/2 + w. Let a be 5/(-4) + 1/4. What is the units digit of z(a)?
6
Let i be (1 - -1)*(0 + 1). Suppose 1 = 3*c - 11. Suppose -c*q - d = -18, -2*d - 2 = -i*q + 2. What is the units digit of q?
4
Let h = 26 - 6. What is the units digit of h?
0
Let c(v) = 3*v - 1. Let g be -4*(-3 - (-21)/12). What is the units digit of c(g)?
4
Let h = 85 - 43. What is the tens digit of h?
4
Let h be (-84)/2*(-6)/7. Suppose -4*w + h + 20 = 0. What is the tens digit of w?
1
Let z(c) = -c**3 + 8*c**2 - c + 6. Let o be z(8). Let g(m) = -4*m**2 + 2*m - 1. Let l be g(o). Let a = l + 36. What is the tens digit of a?
1
Let y(n) = -n**3 + 6*n**2 - 5*n + 6. Let i be y(5). Suppose a - i = 2*a. What is the units digit of (4 + a)/(4/(-2))?
1
Let r(w) = 9*w**2 + 3*w - 1. Let o be r(2). Let t = o + -27. What is the units digit of t?
4
Suppose -1 - 4 = -5*m. Let n be 5 - 3*1/m. What is the units digit of 300/21 + n/(-7)?
4
Suppose 143 + 103 = 3*i. What is the units digit of (i - 0)*3/6?
1
Let z(s) = 4*s**2 + 5. Let t be z(-4). Suppose 2*x + t = 4*i - i, 2*i - 51 = 3*x. What is the units digit of i?
1
Let p(m) = m**3 + 4*m**2 - m + 1. Let z be p(-4). Suppose 4*f = -z*a + 42 - 12, 13 = 4*a + f. What is the units digit of a?
2
Suppose -2 = 2*z + 4*c + 18, 2*z = -3*c - 15. What is the units digit of (-1)/(4/(-16)) - z?
4
Let b(w) = w**2 - 10*w + 28. What is the units digit of b(12)?
2
What is the tens digit of 0 - ((-12)/(-16) + (-670)/8)?
8
Suppose -j + 4*j + 4*s = 30, 4*j = -2*s + 40. What is the units digit of j?
0
Suppose -3*x - 15 + 138 = 0. What is the tens digit of x?
4
Let q = -2 + 46. What is the tens digit of q?
4
Let t(o) = o**2 - o + 1. Let d be t(0). Let w(x) be the first derivative of 2*x**3/3 + x**2/2 + 2. What is the units digit of w(d)?
3
Suppose o = 2*o - 33. What is the units digit of o?
3
Suppose -32 = -3*o - o. What is the units digit of o?
8
Suppose -8 = 4*i, 1 = -4*u - i - 1. Let c = 1 - u. What is the units digit of c?
1
Let k = 11 + -9. Suppose 9 = -i + k*i. What is the units digit of i?
9
Suppose -2*w - 26 = -2*b, 0*b = b - 5*w - 9. Let j be (21/1)/(6 + -7). What is the units digit of ((-12)/j)/(4/b)?
2
Suppose -80 + 1 = -4*q + 5*x, -5*x = 5*q - 65. Suppose 4*w = q - 0. What is the units digit of w?
4
Let n = 6 - 10. Let g(d) = -d**3 - 4*d**2 - 2. Let r be g(n). What is the units digit of 25/4 + r/8?
6
Let q(v) be the third derivative of -2*v**2 + 1/60*v**5 + 5/24*v**4 + 0*v**3 + 0 + 0*v. What is the units digit of q(-6)?
6
Suppose 0*w = 5*w - 20. Let z = 5 - w. What is the tens digit of (-4 - -14) + (z - 1)?
1
Suppose 5*l - 20 = -5*k + 5, -4*l + 4 = -4*k. Let f = 1 - k. Let z = 3 - f. What is the units digit of z?
4
Let v(g) = g**2 + 0*g**2 + 0*g**2 - 2*g - 3*g. What is the tens digit of v(8)?
2
Let o(q) = -11*q**3 + q**2 + q - 1. Let n be o(1). What is the units digit of (-2)/n + 56/20?
3
Suppose 2*f = -f + 12. Suppose z = -3*d + 6 - 19, -z + f*d + 22 = 0. What is the units digit of z?
2
Suppose -2*b + 3*c + 774 = 3*b, 4*c - 294 = -2*b. What is the units digit of b?
3
Suppose -n + 0*t - 3*t = 31, 3*t - 26 = 2*n. Let j = -12 - 21. Let z = n - j. What is the units digit of z?
4
Suppose -u - 4*u + 210 = 0. What is the units digit of u?
2
Suppose 0 = -5*m - 1 + 6. Let h be (m/(-1) - -2) + 26. Suppose 3*q - 12 = 2*s, -3*s + h = 2*q + q. What is the units digit of q?
6
Suppose 66 = 6*o - 5*o. Suppose -3*i + o = -3. What is the tens digit of i?
2
Let v = -88 + 194. What is the tens digit of v?
0
Suppose 4*f - f = 0. Suppose f = 3*o - 5 - 4. Suppose -16 = -o*n + 11. What is the units digit of n?
9
What is the tens digit of (-3)/15 + (-152)/(-10)?
1
Let d = 122 - 73. What is the tens digit of d?
4
Suppose -2*a + 12 = 2*d, -d + 2*a = -2*a - 1. Suppose d*s + 264 = 4. What is the units digit of (-2)/10 - s/10?
5
Suppose 0 = -0*b + 3*b + 27. Suppose -w = -27 + 9. Let y = b + w. What is the units digit of y?
9
Let j(m) = 0*m**2 - 3 + m**2 + m**2 - 3*m. What is the units digit of j(-2)?
1
Suppose -4*w = 2*a - 40, 0 = -3*w - 3*a + 24 - 0. Suppose 2*u + 0*u = w. What is the units digit of u?
6
Let x(r) = r + 6. Let b be 50/(-15)*6/(-4). What is the units digit of x(b)?
1
What is the tens digit of (2/(-3))/(2/(-60))?
2
Let j(b) = b**2. Let x(v) = 3*v**2 - 9*v + 1. Let z(r) = 2*j(r) - x(r). Let n be z(8). What is the tens digit of (n - 1)/(3/6)?
1
Let r = 0 - 0. Suppose a = r, 4*a = -0*m + 2*m - 18. What is the units digit of m?
9
Suppose -65 = -8*p + 3*p. Let b be (0 + -2)*(3 + -5). Suppose 3*i - 7*u - 13 = -3*u, b*i = u + p. What is the units digit of i?
3
Let z = 5 + 11. What is the tens digit of z?
1
Suppose -4*y + 5*z + 11 = 0, -4*y + 0*z = -2*z - 14. Suppose -3*i = 3*l - 21, -y = l - 1. What is the units digit of i?
0
Let v(r) be the first derivative of -2 + 7*r - 1/4*r**4 - 7/2*r**2 - 8/3*r**3. What is the units digit of v(-7)?
7
Let u(m) = 21*m + 15. Let f(q) = -5*q - 4. Let k(s) = 26*f(s) + 6*u(s). What is the units digit of k(-6)?
0
Let z(f) = f**2 - f - 5. What is the units digit of z(-5)?
5
Suppose -4*i = k - 19 + 2, -2*i + 4 = 2*k. Suppose -i*x - 1 = -d + 2*d, -d = x - 3. Suppose -9 - 11 = -d*s. What is the units digit of s?
5
Let g(q) = -2*q**3 - 2*q**2 - 3*q - 3. Let k be g(-3). Suppose v - 231 = -5*c, 3*v + k = 3*c - 93. What is the tens digit of c?
4
What is the tens digit of ((-8)/(-6)*(-35 + 2))/(-1)?
4
Suppose -3 = -3*n + 42. What is the units digit of n?
5
Let x be ((-1)/(-2))/(3/6). Suppose -13 = -j - x. What is the units digit of j?
2
Let y be 3 - (-10)/(-2) - 1. Let u = -1 - y. Suppose 0*t + 34 = u*t. What is the units digit of t?
7
Let h(g) = -g**3 + 6*g**2 - 6*g + 7. Let u be h(5). Let q(y) = 3*y - 6*y + 4*y**3 + y**u - 4 - 3*y**2 - 5*y**3. What is the units digit of q(-3)?
4
Let o(r) = r**3 + 9*r**2 + 7*r + 6. What is the units digit of o(-8)?
4
Let r(h) be the second derivative of h**3 - 8*h. What is the units digit of r(1)?
6
What is the tens digit of (-8 + 1)/((-1)/3)?
2
Let h(r) = -5*r + 1. Suppose -4*x + 16 = -0*x. Let v be (-9)/(-3)*x/(-6). What is the tens digit of h(v)?
1
Suppose 0 = -y + 3*