ppose 150 = 4*f - 2*p, 2*f + 0*p - r = -3*p. What is the units digit of f?
5
Let j be 2 - (4 + -4 - 2). Suppose 4*s + 0*b = 2*b + 14, 0 = j*s - 5*b - 29. What is the units digit of -2 + 69 - 4*s?
3
Suppose -k + 18*k = 24480. What is the units digit of k?
0
Let a(y) = y**3 - 8*y**2 - 9*y + 6. Let z be a(9). Let n(o) = -o + z + 26*o**2 - 5 - 1. What is the units digit of n(-1)?
7
Let x be (850/(-15))/((-3)/9). Suppose 8*j = 9*j - x. What is the hundreds digit of j?
1
What is the hundreds digit of -3 + 11 - 0 - -1557?
5
Let k = 9 - 12. Let t(x) = -15*x + 2. What is the tens digit of t(k)?
4
Let v = -7 - -11. Suppose -l + v = -52. What is the units digit of l?
6
Suppose -4*a - 2*f = -4926, 15*f + 4961 = 4*a + 10*f. What is the thousands digit of a?
1
Let g(c) = c - 5*c**2 + c - 4 + 6*c**2 + 8. What is the tens digit of g(-8)?
5
Let q(s) = s**3 + 11*s**2 + 3*s + 4. Let d be q(-9). Suppose -m = z - 359, 5*z = 2*m - 829 + d. What is the hundreds digit of m?
3
Suppose -5*h + 5*g = -2720, -2720 = -5*h - g - g. Suppose -5*b - 2*s + h = 40, 519 = 5*b - 3*s. What is the tens digit of b?
0
Suppose 0 = -7*v - 3*v + 500. Suppose 48*w = v*w - 678. What is the hundreds digit of w?
3
Let i(a) = a**3 + 4*a**2 - 3*a + 5. Let f be i(-5). Let x = f - -17. Suppose 0 = -r - 5*s + x, 3*r - 3*s - 2*s - 76 = 0. What is the tens digit of r?
2
Suppose 7*f = 6*f - 5. What is the hundreds digit of 105 + (-5 - 0)/f?
1
Let a(p) = p**2 + 4*p - 2. Let r be a(-5). Suppose r*z - 18 = z. Suppose -3*q = 2*y - 53, z*y = 4*y - 25. What is the units digit of q?
1
Let k be 16/(-6)*6/(-4). Suppose 23 = 5*j + k*g, 2*j + 3*g - g - 8 = 0. What is the tens digit of ((-7)/(j/38))/(-2)?
1
Suppose 3*x = 2*x + 2, -5*g + 158 = 4*x. Let m be 16/9 + g/135. Suppose -3*d - 9 = 0, 5*d - 57 = -3*w + m*d. What is the units digit of w?
2
Suppose 128*v = 129*v - 782. What is the units digit of v?
2
Suppose -4*t + 2*t = 0. Suppose t*l = l - 26. What is the tens digit of l?
2
Suppose 0 = 6*b - b - 4*i - 5, 2*b - 2*i = 0. Let f = 51 + -46. Suppose f = b*w, -4*k + 4*w = -2*k - 82. What is the units digit of k?
3
Suppose -5*t - 24 - 16 = 0. Let w = -47 + 61. Let j = w - t. What is the tens digit of j?
2
Suppose -48*z + 163*z - 460 = 0. What is the units digit of z?
4
Suppose 3*z - 3*x = 1389, 6*x - x - 1389 = -3*z. What is the units digit of z?
3
Suppose -7*x + 2 = -19. Suppose x*b = 2*b + 123. What is the tens digit of b?
2
Let u(m) = -m**3 + 14*m**2 - 15*m + 21. What is the units digit of u(9)?
1
Suppose -5*p + 35 = -5*s, 2*p + 3 + 3 = -2*s. Suppose -4*m = p*m - 1218. Suppose -5*g = -92 - m. What is the units digit of g?
9
Let a be 178 + 0 + (-12 - -11). Suppose -2*x = -3*q - 60, -a = -4*x + q - 57. What is the tens digit of x?
3
What is the hundreds digit of (-2 - 32/(-20))*-2215?
8
Let o = -60 - -36. Let c = o - -29. What is the units digit of c?
5
Let f(p) = 1132*p + 81. What is the tens digit of f(3)?
7
Suppose 4*o = 3*p - 1432, 2*p + 5*o - 946 = 12*o. What is the hundreds digit of p?
4
What is the units digit of (6 - -1185) + (-5 - 6/(-2))?
9
Let n be (-25)/(-9) - 12/(-54). Suppose 6*s + 13 = n*m + 4*s, -2*s - 10 = -2*m. What is the tens digit of 3/(-2)*(-20)/m?
1
Suppose -j + 3*n + 171 = 5*n, -5*n - 930 = -5*j. What is the hundreds digit of j?
1
Let b = 47 - -313. What is the hundreds digit of b?
3
Let a be (-3 - -1 - 3)*(-6)/10. Suppose l = -b - 2*l + 42, 2*l = -a*b + 126. What is the tens digit of b?
4
Let p = 29 - 25. Suppose 0 = 2*l + p*q - 130, 5*l - 313 = -0*q + 2*q. What is the units digit of l?
3
Let q = 88 + -2. Let w = -84 + 26. Let t = q + w. What is the units digit of t?
8
Suppose 4*h - i + 11 = 4*i, -4*i + 17 = 5*h. Let r(d) = 95*d**3 + d**2 - 4*d + 4. What is the units digit of r(h)?
6
Let a(k) = -k**2 + 5*k - 1. Let b be a(4). Suppose 2*r + b = r, 5*r + 7 = -4*d. What is the units digit of -1*(d + -6 + 3)?
1
What is the hundreds digit of 1213 - (13 + -5 - 9)?
2
Suppose j = -t + 140, -4*j - 250 = -3*t + t. What is the units digit of t?
5
Suppose -t = -5*l + 12, -4*t - l + 4*l + 3 = 0. Suppose 4*f + 2*r = 812, f = -t*f - 5*r + 812. What is the tens digit of f?
0
Let d = 24 - 14. Let q be (-6)/d - (-28)/5. Suppose -2*g - q*y + 19 = -12, g + 2 = y. What is the units digit of g?
3
Suppose -2*m + 5 = -0*m - 3*j, 5*m + 4*j - 24 = 0. Suppose 0*y = m*y + 3*d - 180, 0 = 5*d. What is the units digit of y?
5
Let m(b) = b**2 - 3*b + 3. Let i be m(3). Let x be ((-1)/3)/(i/27). What is the tens digit of x/(12/56)*-2?
2
Let v(a) = 8*a**3 + 3*a**2 + 4*a - 28. What is the tens digit of v(5)?
6
Let k(n) = -n**3 + 12*n**2 - 27*n + 15. What is the tens digit of k(9)?
1
Suppose 6 = x - 44. Let o = x + -36. What is the tens digit of (-2388)/(-84) - 6/o?
2
Let u(q) = 37*q**2 + q - 4. Let h be u(3). Suppose h = 3*n - 2*s, -n + 0*n + 129 = 3*s. What is the hundreds digit of n?
1
Let r(d) = d**2 + 6*d - 3. Let g = 14 + -19. Let z be r(g). Let q = 17 + z. What is the units digit of q?
9
Let k be 20/15 + 2/(-3)*-1. Let j(h) be the third derivative of h**5/30 - h**4/12 + h**3/2 - h**2. What is the units digit of j(k)?
7
Let k be 1708/68 - (-4)/(-34). Suppose 5*g = j - 59, k = -2*g + 7*g. What is the tens digit of j?
8
Let z be 12/72 - 301/6. Let w = z + 104. What is the units digit of w?
4
Let y = -432 + 747. Suppose 485 = 5*x + 7*a - 2*a, -3*x + y = -5*a. Suppose 4*d - 4*w - 101 - 7 = 0, x = 4*d - 2*w. What is the tens digit of d?
2
Suppose -6390 = -3*p + 3*r, -2*r + 3*r = 2*p - 4259. What is the thousands digit of p?
2
Suppose 223*u = 225*u - 1046. What is the hundreds digit of u?
5
Let h = -7 + 16. Let z be ((-6)/h)/(3/9). What is the units digit of ((-132)/(-6))/(0 - z)?
1
Suppose -25 = 2*q - 7*q. Let t be 3 - (1 - -1)*q. Let s = 16 + t. What is the units digit of s?
9
Suppose -6*n = -2*q - n + 742, 5*q - 1822 = -4*n. What is the hundreds digit of q?
3
Let p = 470 + -312. Let f = p + -76. What is the units digit of f?
2
Let c = 544 + -389. Let i = c + -94. What is the tens digit of i?
6
Let q = -99 - -99. Suppose -4*p - 4*l + 72 = q, -4*l = 3*p - 2*p - 12. What is the units digit of p?
0
Let h(z) = 116*z**2 - 2*z - 1. Let j be h(-1). Let v = 46 - 114. Let g = v + j. What is the units digit of g?
9
Let z be 28/70 - (-2)/(-5). Suppose z = -2*m + 202 + 274. Suppose -k = -g + k + 67, -4*g - 2*k = -m. What is the units digit of g?
1
Suppose 0 = -0*h + h + 4*w - 18, -24 = -2*h - 5*w. Suppose 0 = -5*r - h*l - 4, 4*r + l + 2 = 3*r. Let u = r - -12. What is the units digit of u?
2
Let q = 40 - 20. What is the units digit of q/30 + 182/6?
1
Let s(k) = -k**2 - 18*k - 30. Let j be s(-15). Suppose 17 = 4*w - j. What is the units digit of w?
8
Suppose -2*n = -12*v + 7*v - 3314, -3*n - 5*v + 4921 = 0. What is the tens digit of n?
4
Let c(v) = 3*v**3 + 13*v**2 - 32*v + 18. Let y(x) = -4*x**3 - 14*x**2 + 32*x - 17. Let i(h) = -3*c(h) - 2*y(h). What is the units digit of i(-14)?
0
Let f(b) = 1099*b + 93. What is the units digit of f(1)?
2
Let o = 575 - 265. What is the hundreds digit of o?
3
What is the hundreds digit of -3*(-63)/27 + 710?
7
Let z = -14 + 350. What is the tens digit of z?
3
Let r = 1961 - -1641. What is the units digit of r?
2
Let x = 6 - 0. Let l be (-2)/(-6) + (-2)/x. Let i = 7 + l. What is the units digit of i?
7
Let j = -136 + 271. Let c = -82 + j. What is the units digit of c?
3
Let f = 3485 + -2618. What is the hundreds digit of f?
8
Let y be 0/1 - 472/(-8). Suppose 0 = -12*n + 1775 - y. What is the hundreds digit of n?
1
Let o(h) = -h**3 + 14*h**2 - 19*h - 12. What is the tens digit of o(10)?
9
Suppose -3*a + 6*a - 6 = 0. Let d(p) = 19*p + 3. What is the tens digit of d(a)?
4
Let d(b) = 5*b + 19. Let s be d(13). Suppose -180 = -3*l + s. What is the units digit of l?
8
Let l be (6/21)/(1/7). Let x(w) = -8*w + 6. Let q be x(-7). Suppose -3*k - k - l*p = -q, -p + 13 = k. What is the tens digit of k?
1
Let y be ((-47)/(-2))/(2/32). Suppose 2*o = -3*m - 2*m + y, 2*o = m - 68. What is the tens digit of m?
7
Suppose -31*a = -13*a - 6300. What is the hundreds digit of a?
3
Let b = -574 - -210. Let s = -243 - b. What is the units digit of s?
1
Let j = 4 - 0. Suppose 44 = 4*c - j*h, -2*c - h = 3*c - 49. Let l = 3 + c. What is the tens digit of l?
1
What is the units digit of 3/(43011/(-14346) + 3)?
4
Let p = -5