is the units digit of m?
3
Let g = 43 - 29. Let d = -12 + g. What is the units digit of d?
2
Suppose x + 3 = 1. Let g be -6*(x + 1)*-1. Let c = g - -11. What is the units digit of c?
5
Let d(m) = 14*m**3 - m**2 + 2*m - 1. Let o be d(1). Suppose -o = -4*z + 134. What is the units digit of z?
7
Suppose -18 = -g - 2*g. What is the units digit of g?
6
Let u be 1 + (8 - (0 - 2)). Let t = 34 - u. Suppose 5*p - 5*n - 25 = 0, n = -p - 2*p + t. What is the units digit of p?
7
Suppose -2*n = 3*n. Suppose -3*d + n*m + 58 = m, -2*d = -2*m - 44. What is the units digit of d?
0
Let q(c) = 0*c - 5 + c - 2 + c. What is the units digit of q(6)?
5
Let y be (-40)/(-16)*(-16)/(-10). Suppose j = 4*j. Suppose -f - p + 8 = j, 3*f - 2 = y*p - 6. What is the units digit of f?
4
Suppose 0 = 4*x + 41 + 7. Let h = x - -24. What is the units digit of h?
2
Suppose 23*a = 28*a - 15. What is the units digit of a?
3
Let m be 1 + -1*4 + -3. Let a be (0 + -11)/(3/m). Suppose -h = h - a. What is the units digit of h?
1
Suppose 13*j - 10*j = 303. What is the units digit of j?
1
Suppose 3*f = 4*f. Let s(l) = l - 16. Let q be s(7). What is the tens digit of 3/(q/(-33)) - f?
1
Let q(w) be the second derivative of -w**5/20 + 7*w**4/12 - w**3 - 3*w**2 - 2*w. What is the units digit of q(5)?
4
Suppose -5*j - 1 - 38 = 3*m, 4*j + 30 = -3*m. Let f = j + 13. What is the units digit of f?
4
Suppose -2*j + 4*a = -3 - 13, -3*a - 75 = -5*j. Suppose -k = k - j. Suppose -2*v - g - 1 + 10 = 0, 0 = 4*v + 5*g - k. What is the units digit of v?
6
Let w(y) = y**2 - 7*y + 1. Let m be w(8). Let h(l) = -l**3 + 10*l**2 - 10*l + 7. Let s be h(m). Let j(b) = b**2 - 3*b - 1. What is the units digit of j(s)?
9
Let c = 8 - 5. Suppose 0 = -w - 5*l - 21, l + c + 2 = -w. What is the units digit of (5/2)/(w/(-4))?
0
Suppose 0 = -5*h + 5*f + 5, -6 - 3 = -4*h - f. Suppose -2*n - 2*z = h*n - 24, 36 = 5*n + z. Suppose -5*k + n = -7. What is the units digit of k?
3
Let j(o) = -o**2 + 6*o - 2. Let b be j(4). Suppose -b*m = -7*m - 6. What is the units digit of (-4)/m*(11 - -1)?
8
Suppose -2*n - n = -3. What is the tens digit of (n/(-2))/(7/(-182))?
1
Suppose -3*f + 7 = 5*c + 1, -6 = -3*f - 4*c. Suppose -f - 18 = 5*d. What is the units digit of (6/(-8) - 1)*d?
7
Let n be (1/3)/((-7)/(-147)). Suppose 4*i - n*i = -81. What is the tens digit of i?
2
Let a be (5/2)/(2/(-12)). What is the tens digit of (-10)/a + 68/6?
1
Suppose -3*u = -7*u + 200. Suppose -2*z + u = 2*i, 0*z + 2*i = -z + 26. What is the tens digit of z?
2
Suppose 7*l + 5 = 2*l. What is the units digit of (-27)/(-3) - 1 - l?
9
Let t be -4*(2 + -3) + 1. Suppose 0*v + t*v - 20 = 0. Suppose 3*b = 3, 2*m - 5*b = v*m - 11. What is the units digit of m?
3
Let l(t) = -6*t + 41 + 18*t**2 + 3*t - 42. Let x(o) = 17*o**2 - 2*o - 1. Let f(s) = -4*l(s) + 5*x(s). What is the units digit of f(1)?
4
Let l(v) = 5*v. Let b be l(1). Suppose z = b*z - 12. Suppose -4*c = 2*r - 7 - 23, -z*r + 3*c + 18 = 0. What is the units digit of r?
9
Let c(y) be the third derivative of -y**6/60 - y**5/30 + 5*y**4/24 + y**3/3 - 4*y**2. What is the tens digit of c(-3)?
2
Suppose -5*t + 36 = -194. What is the units digit of t?
6
Suppose -3*w - 2*w = 5*m - 305, 0 = -w - 4*m + 58. What is the tens digit of w?
6
Let a(g) = -2*g**2 + 12*g - 9. Let r(d) = -d**2. Let j(u) = a(u) - r(u). What is the units digit of j(6)?
7
Let k(u) = -89*u - 1. What is the tens digit of k(-1)?
8
Let j(z) = z + 4. Let o be j(0). Suppose -o*p = -p. Suppose p*t - 3*t = -9. What is the units digit of t?
3
Let r(h) = -10*h**3 - 2*h**2 - 6*h - 10. What is the hundreds digit of r(-3)?
2
Let x(w) = -2*w**3 - 3*w**2 - 3*w - 3. Suppose -3*o - 2*z - 2 = 0, -5*z + 2*z = -6. Let b be (o/5)/((-4)/(-20)). What is the units digit of x(b)?
7
Let a(o) = o**2 + 4*o - 4. Let r be a(-5). Let d be ((-12)/(-10))/(3/10). Suppose -j + d = r. What is the units digit of j?
3
Let r(f) = -f**3 - 8*f**2 - f - 1. Let h(i) = 2*i**3 + 15*i**2 + i + 1. Let b(k) = 2*h(k) + 5*r(k). What is the units digit of b(-10)?
7
Suppose 5*b + 4*j - 121 - 163 = 0, -5*b - 3*j + 283 = 0. What is the units digit of b?
6
Suppose -11 = -5*b - 2*t, -4*t + 7 = -5*b - 0*t. What is the units digit of b?
1
Let b be (-2 - 0) + 5*1. What is the units digit of (6/8)/(b/12)?
3
Let g(r) be the second derivative of -r**4/12 - r**2/2 + r. Let d be g(-1). What is the units digit of (-17)/d - 6/4?
7
Let x = 2 - 1. What is the units digit of x?
1
Suppose -62 = 3*y - 4*l + 3*l, 4*y = 2*l - 84. What is the units digit of (-2)/5 + (-128)/y?
6
Suppose 20*r = 25*r - 210. What is the tens digit of r?
4
Suppose -1 = t + 6. Let n(u) = -3*u + 7. What is the units digit of n(t)?
8
Let g be (-28)/(-6)*(-72)/(-28). Let s = g + 8. What is the units digit of s?
0
Let k(b) = -3*b - 1. Let g be k(-6). Suppose 2*u - 8 = -4*r, r = 4*r - 4*u - g. What is the units digit of r?
3
Let q = 21 + 25. What is the tens digit of q?
4
Let v(d) = d**2 - d - 2. Let w be (-2)/(-1) + -1 + 2. Let x be v(w). Suppose x = 4*p - 8. What is the units digit of p?
3
Let a = 5 + -3. What is the units digit of a?
2
Let a(i) = -i + 8. Let z be a(-7). Let y be z*2*6/4. Suppose y = 5*j - 5*v, 3*v = 2*j - 10 - 8. What is the units digit of j?
9
Let w(d) = 3*d**2 - 14*d - 15. What is the units digit of w(9)?
2
Suppose 8 = -2*b - 4. Let p(f) = -f**3 - 6*f**2 + 7. What is the units digit of p(b)?
7
Suppose -s + 4*o = 5, 0 = 5*s - 3*s - 2*o - 2. Suppose x - s*x = 5*f - 51, 5*x = 2*f - 32. What is the tens digit of f?
1
Let s(f) = -f - 6. Suppose -3*o - 19 - 5 = 0. What is the units digit of s(o)?
2
What is the units digit of -1 - (-31*6)/3?
1
Suppose 0 = -2*x + 4*c + 26, 0*x + 29 = 2*x - c. Suppose 0 = 4*o - o - x. Suppose n - o = -2. What is the units digit of n?
3
Let q = 10 + -16. Let m be -2 + q/3 + 10. What is the units digit of 1 + 1*m - 2?
5
Suppose z - 3*z = 12. Let q(d) = -d**2 - 6*d + 6. Let t be q(z). Suppose 0 = 2*m + m - t. What is the units digit of m?
2
Let q(c) = -c**2 + 7*c + 4. Let a be q(7). Suppose -2*s = 2*l - 3*l - 8, -4*s - a*l - 8 = 0. What is the units digit of s?
2
Suppose 5*o + 25 = 0, -2*o - 22 = -y + 12. What is the units digit of y?
4
Let b(u) = -6*u - 15. What is the units digit of b(-7)?
7
Let g be (-1)/3 - 80/(-6). Let k be 0*(-2)/6 - 12/(-2). Let q = g - k. What is the units digit of q?
7
Let l(g) = -g**3 - 4*g**2 + 5*g + 3. What is the units digit of l(-5)?
3
Let l = 4 + 2. Let n = l + -2. Suppose 0 = -3*t + t - y + 10, -y + 16 = n*t. What is the units digit of t?
3
Let w be (-2)/5 + (-108)/(-20). Let t(r) = 19*r**2 + r. Let z be t(1). Suppose 0 = -w*q + z + 5. What is the units digit of q?
5
Let k be (0/1)/(2 - 1). Suppose k = -3*t + t. Let q = 4 + t. What is the units digit of q?
4
Suppose -5*d - 46 = -x + 56, -d + 408 = 4*x. What is the hundreds digit of x?
1
Let v(h) = h**2 - 4*h + 1. Let z be v(3). Let k = 15 + z. What is the tens digit of k?
1
What is the units digit of (-354)/(-3) - (-4 + 8)?
4
Let k = -31 - -16. Let o(b) = b**3 + 15*b**2 - b + 2. What is the units digit of o(k)?
7
What is the hundreds digit of (-41382)/(-234) - (-2)/13?
1
Suppose -4*m - 2 = -2*t - 0*m, 0 = -3*t - 3*m + 21. Let d(p) = -p**3 + 6*p**2 + p - 6. Let q be d(t). What is the units digit of (-6)/(-10) + q/10?
3
Suppose -3*q - 3*b - 9 = 0, 3*b = 3*q - 13 + 4. Let t be (2/2 - q) + 1. Suppose t*z = -0 + 24. What is the units digit of z?
2
Let d(q) = q**2 - q. Let z be d(1). Suppose -80 = -2*t - 3*s, s = -z*t - 4*t + 150. What is the tens digit of t?
3
Let q(m) = 6*m**2 - 6*m + 3. What is the units digit of q(4)?
5
What is the tens digit of 33 - (3/(-3) + 2)?
3
Let w = -4 + 6. Let y(v) = v + 1. What is the units digit of y(w)?
3
Let w(t) = -t**2 + t + 3. Let f be w(5). Let v = -6 - f. What is the tens digit of v?
1
Let i(n) be the first derivative of n**4/4 + 2*n**3 + 2*n - 3. Let q be i(-6). Suppose -q*z = 3*z - 55. What is the tens digit of z?
1
Let g be (-2)/5 + (-17)/(-5). Suppose g*q = -5*k, 0*q - 5*k + 25 = -2*q. What is the units digit of (32/20)/((-1)/q)?
8
What is the tens digit of ((-40)/6 - -1)*-3?
1
Let t be (50/(-40))/((-2)/8). Suppose -2*q + 4*p + 46 = -0*q, 20 = t*p. Let z = q + -16. What is the tens digit of z?
1
Let o(r) = r**3 + 2*r**2 + 1. Let d be o(-2). Suppose -7 - d = -2*z. What is the units digit o