
0
Suppose 0 = a - 3 + 8. Suppose 0 = -0*f + 3*f + 3. Let v = f - a. What is the units digit of v?
4
Let m(z) be the first derivative of 3 - 1/2*z**2 + z. What is the units digit of m(-5)?
6
Let p(a) = a + 1. Let y be p(4). Suppose y*v - i - 547 = 213, -4*v - i + 608 = 0. What is the units digit of v?
2
Let v = -2554 + 3836. What is the tens digit of v?
8
Let d(w) be the first derivative of -w**3/3 + w**2/2 + 2*w + 1. Let x be d(-2). Let f(v) = -v - 1. What is the units digit of f(x)?
3
Suppose -d + 109 = 3*v, 0*d + 2*d = 3*v - 124. Suppose v*z = 36*z + 176. What is the units digit of z?
8
Suppose 2*y = -7*l + 2*l + 16, 0 = -y + 3. Suppose -4 = l*b, -o + 20 = -2*b + 3*b. Suppose -o - 8 = -k - u, 3*u = 2*k - 40. What is the units digit of k?
6
Let j = -23 + 42. Suppose -j*i - 285 = -24*i. What is the units digit of i?
7
Suppose -3*y = 4*x - 6, -x - 16 = -3*x + 5*y. Suppose -5*f - 3 + 1 = -2*v, x*v - 3 = f. Let n = 29 - f. What is the units digit of n?
9
Suppose -2*c = 2*o - 10, -3*o = o - 2*c - 8. Suppose -5*k = -h - 77, 0 = -0*h + h - o. What is the units digit of (8/6)/(k/624)?
2
Suppose 0*p - p + 2 = 0. Suppose -3*b = -3*w - p*w + 5, -4 = 5*b - 4*w. Suppose b = -v + g + 15, -4*g + 6 + 2 = 0. What is the units digit of v?
7
Let k(x) = -x**2 + 5*x + 7. Let p be (16 + -7)/((-6)/(-4)). Let t be k(p). Suppose 6*i = 7 - t. What is the units digit of i?
1
Let d(t) = t**2 + 17*t + 28. Let k be d(-15). What is the units digit of (1 + (-13)/k)*18 - 1?
4
Suppose 4*n - 488 = -5*r + r, 2*r - 613 = -5*n. Let w = n + -51. What is the tens digit of w?
7
Let s = -10 - -33. Suppose -4*h = -3*w + s, h + 12 = 4*h. What is the units digit of w?
3
Suppose 3*f - 49 - 86 = 0. Suppose -165 = -4*l + 3*o + 2*o, 2*l + 5*o - f = 0. What is the units digit of l?
5
Suppose i + 108 = 5*i. Suppose c + 2*c = i. Suppose -30 = -3*y + c. What is the tens digit of y?
1
Let p(q) = q**2 + 12*q + 18. Let i be p(-12). Let d = i - 13. Suppose 3*w - 213 = -4*k + k, 0 = -d*k + 3*w + 395. What is the tens digit of k?
7
Suppose -n + 4*n - 11 = 4*j, 4*n = j + 19. Let w be 0/4 + 0/j. Suppose -5*f = -3*d - 60, f - 4*d + 5 - 17 = w. What is the tens digit of f?
1
Let n be (-3 + 1)*(-3)/2. Suppose -n*p = -5*p + 20. Let k = p - -3. What is the tens digit of k?
1
Let k be ((-88)/33)/(0 + 4/(-90)). Suppose 5*i = 2*t - t - k, -5*t = -2*i - 231. What is the units digit of t?
5
Suppose 0 = f + 4*f + 2*o + 2, -5*o + 12 = 4*f. Let q be (-95)/f - 4/(-8). Let p = q - 26. What is the tens digit of p?
2
Let m = -2 - -6. Suppose -4*c = m*b - 268, c - 2*b + 0*b - 52 = 0. What is the tens digit of c?
6
Let j(l) = l**3 - 3*l**2 + 6. Let m be j(2). Suppose 0 = m*o + k - 22 - 31, -o + 13 = -4*k. What is the units digit of o?
5
Let q(r) = -r**3 - 12*r**2 + 8*r - 5. Let o(y) = -y - 32. Let i be o(-19). What is the tens digit of q(i)?
6
Let o(d) = 24*d - 8. Let h be o(6). Let g = h - 22. Let c = g + -68. What is the units digit of c?
6
Suppose 3*m = 6, 3*m + 862 = 3*h - m. Let j = -173 + h. What is the tens digit of j?
1
Let r(g) = -g**3 - 12*g**2 - 8*g + 8. Let y be r(-11). What is the tens digit of (-2)/10 - (1505/y - 7)?
6
Let k(t) be the second derivative of 11*t**6/360 - 7*t**3/6 + 3*t. Let b(r) be the second derivative of k(r). What is the units digit of b(1)?
1
Let k(c) = -c - 17. Let g(m) = -17. Suppose -6*o + 5 - 35 = 0. Let f(x) = o*g(x) + 6*k(x). What is the tens digit of f(-7)?
2
What is the units digit of 117 - (-2 + 4 + -4)?
9
Suppose z - 2747 = 317. What is the thousands digit of z?
3
Let o(k) = -10*k**3 + k**2. Let y be o(1). Suppose 3*l - 4 = -t + 12, 5*t - 3*l = 152. Let j = y + t. What is the units digit of j?
9
Suppose 0 = -w - 2*d + 5*d + 96, -3*w + 4*d + 278 = 0. What is the tens digit of w?
9
Let i(v) = v**2 + 4*v - 32. Let o be i(-8). Suppose -g - 2*s - 24 = -3*g, s - 5 = o. What is the tens digit of g?
1
Suppose -2 = -5*o - 7. Let j = 52 + o. What is the tens digit of j?
5
Let y(h) = -h**2 + 6*h - 3. Let g be y(4). Let p be ((-6)/15)/((-2)/g). Let z(v) = 9*v - 1. What is the units digit of z(p)?
8
Suppose z - 17 = 5*y, -2*z + 0*y + 10 = -4*y. Let t be (-3)/(-6)*(-36)/z. What is the units digit of 4/t + 37/3?
3
Suppose -b = -3*r + 1, 3*r = -2*r + 20. Let a(n) = -3 + 1 - 5*n**2 + b*n**2. What is the tens digit of a(-2)?
2
Suppose 42*i - 50 = 76. What is the units digit of i?
3
Let l(h) = -14*h + 5. Let j(a) = -14*a + 4. Let x(y) = 5*j(y) - 4*l(y). Let f(u) = u**3 - u**2 - 2*u - 1. Let i be f(2). What is the tens digit of x(i)?
1
Suppose -179*i = -177*i - 444. What is the tens digit of i?
2
Suppose 11*j + 36 = -305. Let l = 196 - j. What is the tens digit of l?
2
Let t be 3/18 - (-1401)/18. Let f = -22 + t. What is the units digit of f?
6
What is the tens digit of (-2)/15 - (-7 - 142688/60)?
8
Let g(q) = -q**2 + 9*q + 2. Let i be g(8). Let x = i - 8. Suppose -x*u - 3*u + 30 = 0. What is the units digit of u?
6
Let u be (-12)/3 - 0 - -9. Suppose 2*n - 70 = -p, -62 = -5*n + 3*n - u*p. Suppose -4*k - 2*w + n = 0, 3*w = -w - 16. What is the tens digit of k?
1
Let h(k) = k**2 + 3*k - 1. Let s be h(5). Suppose -132 = -3*f + s. What is the units digit of f?
7
Let u = 747 - 282. What is the tens digit of u?
6
Let u(i) = 3*i**3 + 3*i**2 + 7. Let j be u(-4). Let n = 390 + j. What is the hundreds digit of n?
2
Let r(t) = -t**3 + 6*t**2 + 2*t + 14. Let n be r(6). Let w = n + 4. What is the units digit of w?
0
Let o = -18 + 16. Let y(j) = -5*j - 4. Let i be y(o). Suppose -5*v + 5*k = -55, -2*k + 31 = 3*v - i*k. What is the units digit of v?
3
Let c be (66/(-15))/(1/5). Let t = 23 + c. What is the units digit of t?
1
Suppose -3*p + 14*u - 10*u = -2846, 4*p = 3*u + 3797. What is the units digit of p?
0
Let n(j) = -j**3 - 5*j**2 + j + 5. Let t be n(-5). Suppose -2*f + 3*f + 5*y - 26 = 0, t = -2*y - 10. What is the tens digit of f?
5
Let p(d) = 3*d**3 - 21*d**2 + d - 5. What is the units digit of p(9)?
0
Suppose 0 = u + 5, 5*s - 701 = 9*s + 5*u. What is the units digit of (s/2)/(3 + 7/(-2))?
9
Let x be -1 + -4 - (109 - 3)/(-1). Let j(p) = -89*p - 1. Let n be j(-2). Suppose 0*q = 2*q - l - x, 4*q - n = -3*l. What is the units digit of q?
8
Let l be (3 - 0 - -3)*24*2. Suppose -l = -5*o + 3*f, o + o - 113 = -f. What is the tens digit of o?
5
Let n be (-6 + 4)*(-4 + 3). Suppose y = n*t + 48, -4*y - 3*t = -49 - 165. What is the tens digit of y?
5
Let p(b) = -7*b**2 + 7 - b**3 + 2*b**3 + 0*b**3 + 19*b**2 + 6*b. What is the tens digit of p(-6)?
8
Let a = -50 + 86. What is the units digit of a?
6
What is the hundreds digit of (-21530)/(-55) - (-12)/22?
3
Let x = -106 - -212. What is the hundreds digit of x?
1
Suppose -c + 5*o - o + 101 = 0, -4*o = 3*c - 351. What is the tens digit of c?
1
Let r(b) be the third derivative of -b**4/24 - 3*b**3/2 - 6*b**2. Let z be r(-8). What is the tens digit of ((-140)/(-50))/(z/(-5))?
1
Suppose 1576 = 25*i - 3349. What is the hundreds digit of i?
1
Let a = 6 + -3. Suppose -a = -3*v + 45. Suppose 5*w - 3*w - v = 0. What is the units digit of w?
8
Let w(u) = -182*u + 367. What is the hundreds digit of w(-8)?
8
Let n be 14*((-2)/4 + 1). Suppose -4*k + n*k = 3*l + 57, k = -3*l + 39. Suppose 2*i = q + 71, k - 6 = i - 4*q. What is the units digit of i?
8
What is the hundreds digit of 1 - (-13)/((-65)/(-3830))?
7
Let y be 13/4 + (-2)/8. Suppose 0*r = -2*i + 2*r + 36, 4*i - 70 = y*r. What is the units digit of -2 - (i/(-2))/1?
6
Let y(o) = 21*o. Let c be y(1). Let r = c - -36. What is the tens digit of r?
5
What is the units digit of 1/(-6)*-2*57?
9
Let z = -31 - -18. Let m be 10/(-55) + 200/11. Let h = m + z. What is the units digit of h?
5
What is the hundreds digit of ((-6)/(-4))/((-6500)/(-1624) + -4)?
6
Let s(c) = 72*c**3 + 2*c**2 - 3*c + 2. Suppose 217*j - 3 = 214*j. What is the tens digit of s(j)?
7
Suppose 3*z + g = 2*g + 431, 0 = 2*z - 2*g - 282. Let o = z + -65. What is the units digit of o?
0
Let r = -26 + 29. Suppose -4*k = r*q + k - 65, -q + 4*k + 33 = 0. What is the units digit of q?
5
Suppose 0 = -6*d + 16 + 8. Suppose -d*j - 2 = 2, 4*j + 7 = -r. What is the tens digit of r/3 + 2 - -57?
5
Suppose -u = 17*u - 5220. What is the hundreds digit of u?
2
Let s = 67 - 62. What is the units digit of 5/(0 + s/85)?
5
Suppose 15022 = 20*n + 2542. What is the tens digit of n?
2
Let