s the units digit of n?
3
Let r(v) be the third derivative of -v**6/120 + v**5/5 - 13*v**4/24 + 11*v**3/6 - 15*v**2. What is the units digit of r(8)?
3
Let c be (-1 - 75/(-20))/((-2)/8). What is the hundreds digit of (6 + c)*((-103)/5 + -2)?
1
Let a = -16 + 28. Suppose -a*y + 108 = -8*y. What is the tens digit of y?
2
Suppose -1361*o = -1360*o - 1299. What is the tens digit of o?
9
Suppose 0 = 33*k - 9*k - 2304. What is the tens digit of k?
9
Let t = 863 + -496. What is the units digit of t?
7
Let c be (-20)/(-11) + (-2)/(-11). Suppose -3*q = -3*h + 60, -2*h + 3*h = c*q + 25. What is the tens digit of h?
1
Suppose -r - 2*h - 28 = 0, -2*r = 3*r - h + 162. Let w = 2 - r. What is the units digit of w?
4
Let h = -1412 + 1661. What is the units digit of h?
9
Let i(w) = -8*w**2 + 6 + 2 - 3*w + 2 + w**3 + 12*w. What is the tens digit of i(7)?
2
Let o(r) = r**3 - 4*r**2 - 2*r - 5. Let q(f) = -f**2 - 7*f - 5. Let v be q(-5). Let u be o(v). Let i = u - 8. What is the units digit of i?
2
Suppose -3*x - 61 - 107 = 0. Let z = x + 130. What is the units digit of z?
4
Let f(h) = 5 + 3 + 6*h - h**2 + 8*h. What is the tens digit of f(7)?
5
Suppose -k + 114 = k. What is the units digit of k + 1/(-1) + -3?
3
Suppose 5*x - 3*x = 12. Suppose 0 = -2*l + 2, -4*l - x = -g - 4*g. Suppose 0 = -5*s + 13 + g. What is the units digit of s?
3
Suppose 5 = -4*c - 3*d + 14, -c - 4*d - 14 = 0. Let s = 119 + -66. Suppose 0 = -2*n - b + c*b + 18, -3*n = -b - s. What is the tens digit of n?
1
Let s = -2 + -4. Let m(k) = -3*k + 4*k + 390*k**2 - 382*k**2 + k**3 - 13. What is the units digit of m(s)?
3
Let f(d) = -d**3 - 9*d**2 + 10*d + 15. Suppose 6*q = 2*q - 44. Let s be f(q). Suppose 0 = -5*t - 4*a + s, -t = -4*t - 2*a + 89. What is the units digit of t?
1
Let b(u) = u**3 - 4*u**2 + 2*u - 4. Let x be b(4). Suppose -5*c + x = -q + 19, 2*c = 4*q - 78. Suppose -7*g = -12*g + q. What is the units digit of g?
4
Let p = -23 - -26. Suppose -4*s + 2*s = 2. What is the units digit of s/p - 42/(-18)?
2
Let i(p) = 653*p**2 - 19*p + 10. What is the units digit of i(3)?
0
Let j(p) = -p**3 + 5*p**2 + 2*p + 20. Let a be j(6). Let l(k) = -11*k + 1. What is the units digit of l(a)?
5
Suppose 0*j - 5*j = -k - 2, 5*j = 5*k - 30. Suppose -k*m + 9 = -5*m. Suppose m*q - 186 = -3*q. What is the tens digit of q?
3
Let j(d) = d**3 + 7*d**2 - 11*d - 19. Suppose 4*n = 2*f - 5*f - 40, 5*n = -f - 28. Let u be j(f). Suppose -u*i = 32 - 152. What is the tens digit of i?
2
Let y(c) = 3*c**2 + 21*c - 28. Suppose 0 = 4*i + 8, 5*i - 29 = 3*v. What is the units digit of y(v)?
6
Let g = -320 - -608. Suppose 2*n - g = -5*s, -n + 2*s + 66 = -96. What is the tens digit of n?
5
Let w(a) = a + 10. Let n(k) = k + 4. Let f be n(-12). Let r be w(f). What is the units digit of (-4)/(-1) - r/2?
3
Let t(p) = 122*p**2 + 9*p + 2. What is the units digit of t(2)?
8
Suppose -y - 3*i = -1007, 3*i = 7*y - 5*y - 2032. What is the units digit of y?
3
Let d be 13 - (3 - (-2 + 1)). Let g(n) = -n**2 + 8*n - 3. Let q be g(d). What is the units digit of (q/4)/3*-3?
3
Let v(c) = 2*c**2 - 7*c - 16. Let y be v(-2). Let s(w) = 5*w**2 - 9*w + 11. What is the hundreds digit of s(y)?
1
Suppose 0 = -q + 13 + 10. Let b = q + -20. Suppose -b*w + 6*w - 6 = 0. What is the units digit of w?
2
Let k = -3 - -7. Let d(t) be the third derivative of t**5/60 + t**4/24 - t**3/6 + 6*t**2. What is the units digit of d(k)?
9
Let c = 192 - -515. What is the units digit of c?
7
What is the hundreds digit of 7*(26960/56 - 8)?
3
Suppose -a = -3*a. Suppose -53*v + 48*v + 155 = a. What is the units digit of v?
1
Let c(k) = k**3 + 7*k**2 + 4*k - 7. Let q(s) be the first derivative of s**3/3 - 7*s**2/2 - 5*s + 4. Let x be q(7). What is the tens digit of c(x)?
2
Let o(w) = w**3 - 7*w**2 - 7*w - 6. Let z be o(8). Suppose z*d = 2*v + 134, 4*d + 2*v - 266 = 4*v. What is the units digit of d?
6
Suppose -5*a + 18*y + 7628 = 14*y, 2*y = -a + 1534. What is the tens digit of a?
2
Let v be (1/2)/(2/20). Suppose -v*n + 9*n - 244 = 0. What is the units digit of n?
1
Let c(i) = -4*i + 1. Let n be c(1). Let w be n/4 + 165/60. What is the units digit of (3 + 4)/(w/4)?
4
Suppose -q - 5*z = -1106, -16*q + 4493 = -12*q - 3*z. What is the units digit of q?
1
Let x = 39 + -41. What is the units digit of (-147)/x + (-21)/(-14)?
5
Suppose -5 + 80 = k. Suppose 8*f + k = 2*d + 3*f, 0 = -4*d + 3*f + 157. Suppose 0 = 5*n - n - d. What is the tens digit of n?
1
Let l be -4*9/(-12) + -3. Let i(m) = -m + 3. Let a be i(l). Suppose 0 = -a*g + 29 + 7. What is the units digit of g?
2
Let y = -40 + 45. Let a = 48 + -17. Suppose y*k - 26 = 2*h - 9, -3*k + a = 4*h. What is the units digit of k?
5
Let a be ((-4)/(-4))/((-3)/(-51)). Suppose 3*s + a = 80. Let q = s - -4. What is the units digit of q?
5
Suppose -4*i - 15 + 2219 = 3*g, 3*g - 2206 = -2*i. What is the tens digit of g?
3
Let l(p) = -p**3 + 14*p**2 + 7*p + 6. What is the hundreds digit of l(10)?
4
Let f be 1/(-5) + (-260)/(-50). Suppose -2*h + 0*p + 258 = -4*p, -519 = -4*h + f*p. What is the tens digit of h?
3
Suppose -4*n = 3*w - 5*n - 55, -5*w + 5*n = -85. Suppose -s = -w - 50. What is the tens digit of s?
6
Suppose 2*o - 16 = 70. Suppose -5*d - 3*v - 85 = 0, 2*d - 5*v + 29 - 26 = 0. Let s = d + o. What is the tens digit of s?
2
Suppose u = -t + 26, t = 5*u - t - 137. Let p = u + -9. What is the units digit of p?
8
Suppose 0 = -2*k + 7 + 27. Suppose 5*g - k = -r, -3*g = -g - 2*r - 2. Suppose -2*l + 9 + g = 0. What is the units digit of l?
6
Let o be 1 + 2 + -3 + -2. Let m be (-2 - o) + 19 + 0. Suppose -5*r - m = -104. What is the tens digit of r?
1
Let u(v) = 306*v**3 + v**2 - 3*v + 1. What is the hundreds digit of u(1)?
3
Let b(y) = -y + 17. Let c be b(15). Suppose 0 = c*u - 192 - 162. What is the units digit of u?
7
Let q = -29 + 15. Let d = -7 - q. Suppose -f - d = 2*s, -5*f - s = -0*s - 1. What is the units digit of f?
1
Suppose 817 = 5*c - 358. What is the tens digit of c?
3
Suppose -27 + 9 = 2*p. Suppose 184 = 3*z + z. Let l = p + z. What is the tens digit of l?
3
Let d(r) = 40*r**2 + 2*r - 2. Suppose -5*m = -m - 8. What is the hundreds digit of d(m)?
1
Let s = 850 - -224. What is the thousands digit of s?
1
Suppose 10 = 4*y - 3*y. Suppose -y*r + 255 = -5*r. What is the tens digit of r?
5
Suppose 2*v - 8 = -2. Suppose 0 = -i - v*i - 2*r + 172, -r - 86 = -2*i. What is the tens digit of i?
4
Suppose 3*i - 12*l + 16*l - 7174 = 0, 3*l = -15. What is the hundreds digit of i?
3
Let j(p) = -3*p + 2. Let d be j(4). Let f = -5 - d. Suppose 31 = 4*v - f. What is the units digit of v?
9
Suppose -4*a - a = 0. Suppose 2*q - 3*w = 2*w - 21, a = 5*w - 25. Suppose -z + 5*n = 13, -q*n - 20 = -6*n. What is the units digit of z?
2
Suppose z + 5*z = 390. What is the tens digit of z?
6
Let p be (-1)/((-2)/(-4) - 1). Suppose 0*o + p*o = 186. Suppose 7*t = o + 320. What is the units digit of t?
9
Suppose -4 + 59 = 5*z. Suppose z*t = -0*t + 3322. What is the tens digit of t?
0
What is the tens digit of 8/6*(-15 + 495) + -3?
3
Let l(d) = -d**3 - d + 462. What is the hundreds digit of l(0)?
4
Let u(o) = -o**3 + 18*o**2 - 20*o + 4. What is the hundreds digit of u(6)?
3
Let r(j) = -12*j + 22. What is the hundreds digit of r(-8)?
1
Suppose -4*s = -31 - 41. What is the hundreds digit of (-6)/36 + 2847/s?
1
Let o be (-2 - -4)/((-2)/(-312)). Suppose o = l + 2*l. Suppose -n = n - l. What is the tens digit of n?
5
Let j be ((-3)/(45/6))/(2/(-30)). Suppose -5*i = t - 165, 0 = -2*i + 2*t - j*t + 66. What is the units digit of i?
3
Let z = 12 - 10. Let n be (28/(-6))/(z/(-3)). Suppose -113 = -4*a + 5*h, 0 = -3*a + n*h - 3*h + 84. What is the tens digit of a?
3
Let u be -2 + ((-12)/2)/(-1). Suppose 0 = -5*w + u*i + 486, -2*i - 208 = -4*w + 176. What is the units digit of w?
4
Let w be 0 - -1 - 181*-5. What is the tens digit of w/18 - 4/(-6)?
5
Let a(u) = -29*u + 1. Suppose 5*o + 20 = -0*o, o - 1 = 5*i. What is the tens digit of a(i)?
3
Let y be 16*(-2 + (-21)/2). Let k = -79 + 114. What is the tens digit of ((-42)/k)/(6/y)?
4
Let b = 34 + -29. Suppose 77 = 2*l + 5*s, -l - 163 = -b*l - s. What is the tens digit of l?
4
Suppose -2*a = -38 - 0. Suppose a*f = 14*f + 90. What is the units digit of f?
8
Let i(q) = 502*q**2 + 36*q + 12. What is the hundreds digit of i(-3)?
4
Let