t of a?
9
Let l(i) = i**3 - 10*i**2 - 11*i + 9. Let d be l(11). Let q(w) be the second derivative of -w**4/12 + 13*w**3/6 - 7*w**2 + w. What is the units digit of q(d)?
2
Suppose -133*n = -124*n - 5400. What is the hundreds digit of n?
6
Let f(w) = 3*w**2 + 12 - w**2 - 3 - w + 6*w. What is the units digit of f(8)?
7
What is the thousands digit of -42 + 1387 + 7/1?
1
Let d = -334 + 226. Let g = 164 + d. Let f = g + -21. What is the tens digit of f?
3
Let c(z) = 15*z + 2. Let f(t) = -22*t - 3. Let r(j) = -7*c(j) - 5*f(j). Let q be r(-4). Let n = 22 - q. What is the tens digit of n?
4
Suppose -19*i + 14*i + 1950 = 0. Suppose 11*u = -2*u + i. What is the units digit of u?
0
Suppose s - 2*i = -3, -5*s - 39 = 3*i - 5*i. What is the tens digit of 1 - -2 - (-70 - s)?
6
Let g be (-912)/(-9) - 2/(-3). Suppose 18*v + 2500 = 68*v. Let k = g - v. What is the units digit of k?
2
What is the hundreds digit of (186*22/33)/(2/11)?
6
Suppose 30 = 5*c - 5*v, -2*v = 2*c + 10 - 2. Let h(q) = 20*q**2 + 1. What is the tens digit of h(c)?
2
Let b(c) = -c**2 - 98*c - 32. What is the hundreds digit of b(-22)?
6
Suppose -2*u + 93 = 3*g + u, -4*u = 5*g - 152. What is the tens digit of g?
2
What is the hundreds digit of (-52 + 4)/4*(-77)/2?
4
Let q(y) = -2*y**2 - 11*y - 8. Let z be q(-4). Suppose z*k - 9*k + 1080 = 0. What is the units digit of k?
6
Let t = -476 + 944. What is the tens digit of t?
6
Suppose 2633 = 11*n - 12778. What is the thousands digit of n?
1
Let s(w) be the second derivative of w**6/360 + 3*w**5/40 + w**4/8 - w**3/3 - 4*w. Let g(n) be the second derivative of s(n). What is the units digit of g(-9)?
3
Let r = -5 + 43. Suppose -2*w + 5 = -v, 3*w - v - 7 = v. Suppose w*q - 46 = r. What is the units digit of q?
8
Let r be (0 + 0)/(3 + -1). Suppose 2*g + 5*z = 81, 4*g - 9*z - 237 = -4*z. Suppose r = 5*w - g - 92. What is the units digit of w?
9
Let z be 3/(2/(368/3)). Suppose z = -2*a + 4*a. What is the units digit of a?
2
Suppose -9*w = -8*w - l + 319, -12 = 4*l. Let p = -76 - w. What is the units digit of p?
6
Let c(r) = -r**3 - 5*r**2 - 4*r - 1. Let h be c(-4). What is the hundreds digit of h*(-182 - 1*(-6 - -2))?
1
Let b(t) = -33*t + 174. What is the units digit of b(-26)?
2
Suppose -3*d + d + 4 = 0. Let i(l) = 2*l - 4 + 1 + 12*l**d - 2*l. What is the units digit of i(-2)?
5
Suppose -4*o + 2717 = -x + 2*x, 5*o = 5*x + 3365. What is the tens digit of o?
7
Let k = 10 + -12. Suppose -5*c - 3*g + 54 = 0, g - 15 = -2*c + 7. What is the tens digit of 27 - k*c/8?
3
Let j(q) = q**2 - 6*q + 19. Let z be 9*1*(-4 - -5). What is the units digit of j(z)?
6
Let w = -403 + 229. What is the hundreds digit of (-1)/(1/4) + (1 - w)?
1
Let h(a) be the second derivative of -5*a**3/2 - 3*a**2/2 - 7*a. Let x be h(-1). Let j = x + -7. What is the units digit of j?
5
Let i be 108/((-2)/(-24) + (-4)/12). Let u = i - -668. What is the tens digit of u?
3
Let q = 3100 - 1899. What is the thousands digit of q?
1
Let v = -4461 + 8708. What is the hundreds digit of v?
2
Suppose r - 26 = -d, -2*d + 51 = -3*r - 6. Suppose -3*u + k = -3*k + 20, -3*u - 3*k = d. What is the units digit of (-8)/3*18/u?
6
Suppose -3*b + 11*b + 40 = 0. Let v(z) = -z**3 - 4*z**2 - 3*z - 3. What is the units digit of v(b)?
7
Let x = 61 - 58. Suppose 3*t = 5*m + 272, 3*t + x*m = 4*m + 280. What is the units digit of t?
4
Let k = -7 - -12. Suppose k*b - 39 = 2*b. Suppose -5*n - 5 = 0, -5*t - 5 = -3*n - b. What is the units digit of t?
1
Suppose 0 = q - 30 - 2. Let i be q/(-4 - (-88)/20). What is the tens digit of (-27)/(-4)*i/15?
3
Let d = 35 - 27. Let m(w) = 26*w - 10. What is the units digit of m(d)?
8
Let n = -31 - -35. Suppose 119 = -n*z + 7. Let c = z + 75. What is the units digit of c?
7
Let l(g) = 26*g**2 + 3*g + 1. Let j be l(-2). Suppose 3*b = 33 + j. What is the units digit of b?
4
Let x(c) = c + 25*c**2 + 3*c - 24*c**2 - 9. What is the units digit of x(9)?
8
What is the units digit of (-6393)/(-15) - 72/(-90)?
7
Let x(b) = -4*b - 9. Let z be 2*(-3 + (0 - 2)). What is the units digit of x(z)?
1
Suppose -921*u + 920*u + 1157 = 0. What is the thousands digit of u?
1
Suppose 4*x + 10 - 90 = 0. Suppose -15*t - 8*t = -460. Let s = t + x. What is the tens digit of s?
4
Suppose -30*d + 1896 = -33144. What is the hundreds digit of d?
1
Let n(h) = -157*h - 117. What is the hundreds digit of n(-7)?
9
Let y be 4/(-8)*(2 + 0). Let z(a) be the second derivative of -5*a**3/3 - a**2/2 + a. What is the units digit of z(y)?
9
What is the thousands digit of (-12)/(-8)*(2576/2 + -6)?
1
Suppose 8*q + 17*q - 12675 = 0. What is the units digit of q?
7
Let i(g) = -g**3 + 4*g**2 + 7*g - 6. Let n be i(5). Suppose -u - 51 = -n*u. Suppose 7 = 4*y - u. What is the units digit of y?
6
Suppose 0 = 3*k + k - 8. Let x = 1 + 1. Suppose 3*a - 3*w - 121 = -w, -x*w + 64 = k*a. What is the units digit of a?
7
Suppose 0 = 127*f - 119*f - 8336. What is the tens digit of f?
4
Let q = 905 + -299. What is the tens digit of q?
0
Suppose 0 = f - 3*d - 491, -98*f = -103*f + 3*d + 2515. What is the units digit of f?
6
Let a = 24 + -6. Let j = a + -15. Suppose j*n = n + 80. What is the units digit of n?
0
Suppose -t + 13 = 113. Let r = 128 + t. What is the units digit of r?
8
Let d(k) = 3*k**3 - 7*k**2 + 12*k - 31. What is the units digit of d(4)?
7
Let b(n) = -n**3 + 6*n**2 - 2*n + 2. Let j be b(6). Let p = 64 + j. Suppose 2*i - 20 = -2*v, -3*v - p = i - 4*i. What is the units digit of i?
4
Let l = -10 + 10. Suppose 7*b - 4*b - 12 = l. Suppose 3*k - 5 = b. What is the units digit of k?
3
Suppose -d = -2*m - 460 - 271, -5*d + 3655 = 3*m. What is the units digit of d?
1
Let o(p) = 3*p**3 - 4*p**2 + 2*p + 1. Let a(d) = -d**2 - 6*d + 2. Let y be a(-6). Let i(c) = 2*c**2 - 4*c + 2. Let f be i(y). What is the units digit of o(f)?
3
Suppose 5*c - 18400 = -g + 2*g, 0 = -2*c + 2*g + 7368. What is the hundreds digit of c?
6
Suppose -5 = -x - 2. Suppose -f - f + x*n = -85, -130 = -3*f + 5*n. What is the units digit of f?
5
Let g = 10526 - 5925. What is the tens digit of g?
0
Let q(p) = p**3 + 3*p**2 - 5*p + 4. Let h be q(2). Suppose -13*x - 49 = -h*x. What is the units digit of x?
9
What is the thousands digit of (-31 - 4)*(677/(-5) - 6)?
4
Let x be (4/12)/((-3)/(-36)). What is the tens digit of x/(2/2) + 15 + 54?
7
Let x be (-2)/(-4)*2*5. Let b = -189 + 194. Suppose 0 = -2*c - b*a + 2, x*a - 13 = -3*c. What is the units digit of c?
1
Let h be (4*(-1)/2)/((-4)/6). Suppose -r + 14 = -h. What is the tens digit of r?
1
Suppose -2*r = -5*a + 1458, -2*r + 149 = 3*a - 729. What is the units digit of a?
2
Let g(y) be the second derivative of y**4 + 5*y**3/6 - 5*y**2/2 - 11*y. Suppose 4*n = -n + 10. What is the tens digit of g(n)?
5
Suppose -166 = -4*x - 0*x + m, x = -4*m + 50. What is the units digit of x?
2
Suppose -q = 2*w - 7, 3 = -4*q + 4*w + 7. Let t(a) = -12*a + 8. Let g(u) = 6*u - 4. Let m(f) = q*t(f) + 5*g(f). What is the units digit of m(-7)?
6
Suppose j = -3*j + 160. Let x = 79 - j. What is the tens digit of x?
3
Let q(t) = -3*t**2 + 6*t + 2*t**2 + 37 - 28. What is the units digit of q(6)?
9
Let p(n) = -2*n + 3*n + 3 - 1. Let r be p(3). Suppose 0 = -g - 0*f - f + 18, r*g = f + 114. What is the units digit of g?
2
Let q = 2236 - 1075. What is the tens digit of q?
6
Let o be (2/(-6 + 2))/((-1)/(-8)). What is the units digit of (-2 - (-22)/o)*88/(-5)?
2
Let u be 9/(-6)*(-4)/3. Suppose t + u*c = 8, -3*t = -0*t - 3*c - 42. What is the tens digit of t?
1
Let f = -88 - -320. What is the units digit of f?
2
Let s(o) = 10*o + 9. Let h(n) = 10*n + 10. Let q(g) = -4*h(g) + 3*s(g). What is the units digit of q(-7)?
7
Let g(m) = 6*m - 3. Let y be g(3). Suppose 2*p = 5*p - y. Suppose -2*l - 2*b + 9 = -5, -4*b = p*l - 31. What is the units digit of l?
3
Let k(i) = -i**2 - 46*i - 14. What is the tens digit of k(-29)?
7
Let t(d) = d**2 - 3*d - 48. What is the units digit of t(12)?
0
Let q = 0 - -18. Let c = -16 + q. Suppose d - 5*y = 3*d - 55, 74 = 4*d - c*y. What is the units digit of d?
0
Suppose -2*z - 69 = 3*z - 2*y, 2*y - 4 = 0. Let q(j) = -j**2 - 21*j - 23. What is the units digit of q(z)?
1
Let m = 2 + -2. Suppose 0 = 3*a - 2*a + g - 14, a + 2*g - 16 = m. Suppose -1 - a = -x + 3*y, -5*x - 4*y + 27 = 0. What is the units digit of x?
7
Let b be (0/(1 + 5))/((-4