8 = -5*c + 47. Let j = c + 1. Suppose 12 = 5*t - j. What is the units digit of t?
6
Let g(s) = -s**3 - 4*s + 1. Let x(z) = 2*z**3 + 9*z - 2. Let o(c) = -7*g(c) - 3*x(c). What is the units digit of o(1)?
1
Let w(b) = b**3 - 3*b**2 + 3. Let y be w(3). Suppose -y*q - 5 = -8*q. What is the units digit of 2*-1 - -8*q?
6
Let q = 7 - 3. Let a(p) = -q + 0 + 5 + 3*p**2 - 2*p. What is the units digit of a(2)?
9
Let n = -17 - -29. Let r = n + -7. What is the units digit of r?
5
Let k = 42 + -74. Let h be k/(-12)*(-45)/(-2). Suppose -2*n + 6*n + 8 = 0, 5*n - h = -5*t. What is the tens digit of t?
1
What is the units digit of (-12)/10*(-15480)/54?
4
Suppose -15*u + 1359 = -1956. What is the tens digit of u?
2
Let q be (-1*10)/(2/2). Let v(w) be the first derivative of -w**4/4 - 10*w**3/3 - w**2/2 - 7*w + 1. What is the units digit of v(q)?
3
Let x be (1*-2 + 2)/(-1). Suppose x = a - 3*a. Suppose -2*f + 5*d + 4 = 9, a = 3*f - 3*d - 6. What is the units digit of f?
5
Suppose -4 - 2 = -2*v. Suppose 45 = v*r + b, -5*r + 3*b + 64 + 11 = 0. What is the tens digit of r?
1
Let q be (2/(-4))/((-4)/16). Suppose 2*u = -q*u + 8. Suppose u*c - 6 = -c. What is the units digit of c?
2
Let m(q) = -34*q + 62. What is the hundreds digit of m(-5)?
2
Let k be (32/40)/(2/5). Let d(t) = k*t**2 - 3 + 3*t + 0*t + 0*t**2 - 2*t. What is the units digit of d(3)?
8
Let v(i) = 4*i - 3. Suppose 2*t + 2 = -4*f - 0, 0 = -f + 4*t + 22. Let m be v(f). Suppose 1 = m*o - 9. What is the units digit of o?
2
Let q(c) = -c + 2. Suppose -w + 3*w + r = 0, -5*r = 3*w. What is the units digit of q(w)?
2
Let h = -23 - -18. What is the units digit of h + 6 - (-1 + -1)?
3
What is the units digit of 2/(-9) - ((-2665)/45 - -4)?
5
Suppose -4*c + 6*c = 108. What is the tens digit of c?
5
Suppose -2*r + 9 = -3*t, -4*r + 17 = -2*t - 5. What is the units digit of r?
6
Let g(k) be the second derivative of -k**4/12 - 7*k**3/6 - 2*k**2 + 6*k. What is the units digit of g(-5)?
6
Let i be (-28)/(-12) + 4/6. Let j(a) = 4*a - 4. What is the units digit of j(i)?
8
Let p(i) be the second derivative of i**4/6 - 5*i**3/6 - 4*i**2 + 5*i. What is the units digit of p(5)?
7
Let v(w) be the second derivative of w**5/20 - 5*w**4/12 - w**3/6 + 2*w**2 + w. Let f be v(7). Suppose -2*n - 3*n + f = 0. What is the tens digit of n?
1
Suppose -4*y = -4*m - 60, 0*m + 43 = 5*y + 3*m. Let v(o) = o - 6. Let b be v(y). Suppose 22 = b*c + 2. What is the units digit of c?
4
Let r = -3 - -8. What is the units digit of -3*r/(-6)*2?
5
Let d = 19 + -11. Suppose -58 = -3*s + 38. Suppose 3*y + d = s. What is the units digit of y?
8
Let c be 1 + 0 - 2 - -2. What is the tens digit of 14/c + 8/(-4)?
1
Let a be -19 + -3 + 0 + 4. Let y = 17 - a. What is the tens digit of y?
3
Let a = 370 + -116. What is the tens digit of a?
5
Let m = 7 + -7. Suppose -2*o + 8 = m, -106 = -4*l - 3*o + 46. What is the tens digit of l?
3
Suppose z - 5*z = 24. Suppose -8 = -2*s + 5*h, 4*s + 11 = -2*h + 3. Let c = s - z. What is the units digit of c?
5
Let n be (15/(-10))/((-2)/52). Let k = n + -20. What is the units digit of k?
9
Let s(x) = x + 10. Let k(n) = -9*n + 1. Let o be k(1). Let a be s(o). What is the units digit of (-30)/(-4)*a/3?
5
Let q(n) = 29*n**2 - 1. Let r be q(-1). Let u = r - 17. What is the tens digit of u?
1
What is the units digit of (-24)/(-60) + 926/10?
3
Suppose -a = -2*k - k + 5, -2*k + 2*a - 2 = 0. Let t be k/(-30)*-4*-5. What is the units digit of ((-6)/9)/(t/27)?
9
Suppose 2*v - 248 = 4*l, 316 = 2*v + 3*l + 89. What is the tens digit of v?
1
Let c(z) = -4*z**2 - 2*z - 1. Let u be c(-1). Let k = u - -11. What is the units digit of k?
8
Let y = -34 + 5. Let n = -17 - y. What is the tens digit of n?
1
Let q(o) = 3*o + 11. Let x be q(8). Suppose f = -h, x = h - 3*h + 5*f. Let z(v) = -v**2 - 6*v - 1. What is the units digit of z(h)?
4
Suppose 11 = 4*q + 4*u - 53, 3*q = 2*u + 33. Let r = q - 10. What is the units digit of r?
3
Suppose -282 = -5*m + 348. What is the units digit of m?
6
Let g(m) = 2 - 4 - 7*m**2 + 4*m + 4*m**2 + m**3. Let l be g(2). What is the units digit of (1/l)/(2/28)?
7
Let x(g) = -g**3 + 5*g**2 + 6*g. Let b be x(6). Let h be 4/(b + 0 - -2). Let m = h + 1. What is the units digit of m?
3
Suppose c = 223 + 150. What is the units digit of c?
3
Suppose 5*o + 2 = 27. Suppose w = -o*u + 1, 3*w + 1 = -4*u + 15. What is the units digit of w?
6
What is the units digit of (-6)/(-8) + (1044/16 - 1)?
5
Let o(n) = -1. Let a(j) = 6*j + 12. Let m(u) = -a(u) - 3*o(u). Let f be m(-6). Suppose 4*t - 1 = f. What is the units digit of t?
7
Let o(i) = i**3 - 5*i**2 - 7*i + 6. Let f be o(6). Suppose -b - 3*b = 4*p - 80, -4*p = f. What is the tens digit of b?
2
Let o = 10 - 19. Let m = -6 - o. Suppose 15 = m*i + 2*k, k = -4*i - i + 25. What is the units digit of i?
5
Let q(r) = -r + 1. Let v be q(3). Suppose 3*z = -b - 178, -3*b + 2 = 5. What is the tens digit of z/(-3) - v/(-3)?
1
Let k = 32 + -23. Suppose -k = -s - 4. What is the units digit of s?
5
Let u = -15 - -17. Suppose -3*n + 7 = -3*q - u, -15 = -3*n. What is the units digit of q?
2
Suppose 3*u = u + 2. Let v(i) = 11*i**3 + i**2 + i - 1. What is the units digit of v(u)?
2
Let n = -51 - -183. What is the units digit of n?
2
Suppose 0 = -10*m + 13*m - 162. What is the units digit of m?
4
Let z = -143 + 182. What is the tens digit of z?
3
Let i = -36 - -59. What is the tens digit of i?
2
Let g(m) = -m - 5. Let f be g(-5). Suppose -3*k + k - 12 = f. What is the units digit of ((-32)/k)/(2/6)?
6
Suppose 3*d - 69 = 21. Let g(l) = l**3 + 9*l**2 + l + 12. Let m be g(-9). Suppose 0*j = m*j - d. What is the tens digit of j?
1
Let x be -4*((-2)/4)/1. Suppose -2*o - 1 = 3, f + x*o - 6 = 0. What is the units digit of f?
0
Suppose -12 = -2*q + 2*o, -q + 3*q - 4*o = 12. What is the units digit of q?
6
Let i = 12 - 12. Suppose -4*n = 3*u - 23, i*u - 21 = -5*n + 4*u. What is the units digit of n?
5
Let o(d) = -7 + 4*d + 2*d**3 - 4*d**2 + 2 - d**3. What is the units digit of o(4)?
1
Suppose -b = 2*b + 15, 4*f + 3*b = -7. Let k = 28 - 3. Suppose -f*p + k = 5*j - 3*p, -5*p - 25 = 0. What is the units digit of j?
4
Let o(n) = -n**2 + 12*n + 1. Let a be o(9). Suppose -5*u + u = -a. What is the units digit of u?
7
What is the tens digit of 10/(-70) - 408/(-14)?
2
Suppose k - 14 - 33 = 5*p, -5*k + 2*p = -143. Let o = 7 + k. What is the tens digit of o?
3
Suppose 1 = -3*a + 4*a. Let y(l) = 3*l + 9*l**2 - 2*l - 2*l. What is the units digit of y(a)?
8
Suppose 15 = -d - 3*o, 4*o + 31 = -d - 4*d. Let x = 1 - d. Suppose 10 = -2*r + x*y - 2, 0 = -4*r + 5*y - 12. What is the units digit of r?
2
Let z be ((-440)/(-12))/((-2)/(-3)). Let o = 101 - z. What is the units digit of o?
6
Let j(l) = l**2 + 6*l + 4. Let h be j(-6). Suppose n - 4 = -4*t + 4, -2 = -h*n - t. Let s = 5 + n. What is the units digit of s?
5
Let q(c) = -c**2 - 6*c + 12. Let i be q(-7). Suppose -3 = n - i. What is the units digit of n?
2
Suppose -9 = 4*q + 5*s - 171, 0 = -5*q + 2*s + 186. Let v = -26 + q. What is the tens digit of v?
1
Suppose 990 = -14*n + 6534. What is the hundreds digit of n?
3
Suppose s = 5*s - 992. What is the tens digit of s?
4
Suppose -21 = 3*z - 51. Let k = z - 1. What is the units digit of k?
9
Let o(j) = 2*j - 5. Let f(x) be the first derivative of -x**2 + 4*x - 1. Let g(n) = 2*f(n) + 3*o(n). What is the units digit of g(5)?
3
Let j = 7 + -4. Suppose -l - j*b = -27, -5*l + 34 = -2*b - 16. What is the units digit of l?
2
Let b(c) = -c - 6. Let p be b(-7). What is the units digit of 2 + (26 - (-2 - p))?
1
Let c be (0 - 22)/(4 - 5). Suppose 0 = -3*k - 4*h + c - 3, -h = k - 5. What is the units digit of k?
1
Let n = -9 + 17. What is the units digit of n?
8
Suppose 73*b = 72*b + 91. What is the units digit of b?
1
Let b be (196/6)/(3/18). Suppose 0 = -5*q + 4*y - 53 + b, -3*q + 81 = -4*y. What is the units digit of q?
1
Suppose -20 = 2*c + 4*u, u - 17 = 2*c + 2*u. Let q = c + 13. Suppose -q*a = -4*f + 16, -6*f + 20 = -f - 2*a. What is the units digit of f?
4
Let m = -206 - -432. What is the hundreds digit of m?
2
Let l be ((-2)/6)/(3/(-9)). Suppose 0 = z - l - 2. What is the units digit of (2 - 0 - z)*-7?
7
Let p(f) = -f - 7. Let m be (-105)/10 + (-2)/(-4). What is the units digit of p(m)?
3
Let g be (-2)/(-6) - (-10)/6. Suppose -9 =