0
Suppose -323*k - 4737 = -326*k. What is the units digit of k?
9
Suppose -31*w + 54260 = -11*w. What is the units digit of w?
3
Let b = 1664 + -719. What is the units digit of b?
5
Let t(a) = -a**3 - a**2 - 6*a - 5. Let k be t(-3). Suppose -4*l = c - k, 3*l + 5*c = -0 + 2. What is the units digit of l?
9
Suppose 23*p - 31*p = -6928. What is the units digit of p?
6
Let n(v) = v**3 + 4*v**2 - 4*v. Let a be n(-4). Suppose -b - 4*f = 0, 7*b - 4*f - a = 4*b. Suppose b*m - m - 141 = 0. What is the units digit of m?
7
Let b be 0 - 2 - (-187)/(-11). Let h = b + 19. Suppose 4*u - 8 + 4 = h. What is the units digit of u?
1
Let p be ((-146)/(-3))/(1 - 2/6). Suppose a - 30 = p. What is the hundreds digit of a?
1
Let d = 14 - 11. Let m(w) = 2*w**3 - 3*w**2 + 2*w - 3. Let b be m(d). Let f = 56 - b. What is the units digit of f?
6
Suppose v - 5*u + 106 = 394, 0 = 2*v - 2*u - 616. What is the tens digit of v?
1
Let q = 229 + -199. What is the tens digit of q?
3
Suppose k + 4*p = 0, 0*k - 2*k + 10 = -2*p. Suppose 3*h - 12 = 0, 0*h - k*h + 76 = 4*r. What is the tens digit of r?
1
Let p(s) be the third derivative of s**6/120 - s**5/20 - 5*s**4/24 - 2*s**3 - 11*s**2. What is the units digit of p(5)?
3
Let g be 13/3 + (-3)/9. Suppose -90 - 234 = -g*l. What is the units digit of l?
1
Suppose 61*z = 57*z - 5*h + 3429, 2*h + 6 = 0. What is the units digit of z?
1
Let t(c) = 11*c**2 + 37*c + 94. What is the tens digit of t(-24)?
4
Let a(n) = n**3 - 47*n**2 - 29*n - 9. What is the tens digit of a(48)?
0
Let f(h) = -h**2 + 8*h + 3. Let a be f(8). Suppose a*y + 4 = -5, -5*w + 2*y + 51 = 0. What is the units digit of w?
9
Suppose -8*h + 3*h + 3*y = -8281, 3*y = -4*h + 6614. What is the thousands digit of h?
1
Suppose 0 = u - 5*d - 4121, -5*u = 9*d - 7*d - 20470. What is the hundreds digit of u?
0
Let c = -5 + -21. Let u = c + 66. What is the tens digit of u?
4
Let o be (2 + -4)/((-3)/27). Suppose 17*s - o*s = -113. What is the tens digit of s?
1
What is the units digit of (-16)/20 - ((-6117)/15 + 5)?
2
Suppose 5*s - 15*s = -17460. What is the thousands digit of s?
1
Let n(c) = -21*c**3 - c**2 - c + 41. What is the hundreds digit of n(-5)?
6
Let q = -33 - -35. Suppose -q*h - 5*v + 166 = -162, -4*v = -4*h + 656. What is the hundreds digit of h?
1
Let n(k) = -k**2 + 11*k + 9. Let y be n(11). Let s(m) = -m + 17. Let a be s(y). What is the tens digit of a*3/(6/8)?
3
Let d = -206 + 381. What is the units digit of d?
5
Let m = 14 + 1. Let a(u) = 4*u**3 - 12*u**2 + 5*u + 14. Let p(t) = 7*t**3 - 25*t**2 + 9*t + 27. Let j(w) = -5*a(w) + 3*p(w). What is the tens digit of j(m)?
4
Suppose 5*c = -2*g - 115 - 27, 2*c = -g - 57. Let j = c - -88. Let w = -40 + j. What is the tens digit of w?
2
Let n(t) = 3*t - 11. Let g be n(6). Suppose 0*k = g*k - 406. What is the units digit of k?
8
Let p(w) = 19*w - 18. Suppose 0 = t + 7*t - 32. What is the units digit of p(t)?
8
Let j(n) = n**3 - 3*n**2 + 24*n + 98. What is the hundreds digit of j(16)?
8
Let n(t) = t**2 + 2*t - 3. Let s be n(-4). Suppose 5*c = s, -3*o + 4*o + 27 = -3*c. Let i = 53 + o. What is the units digit of i?
3
Let q be (-4)/(-18) + 224/(-36). Let m = q - -5. Let b(r) = -14*r + 1. What is the tens digit of b(m)?
1
Let s = -56 + 65. Let f(p) = 11*p**2 - 12*p - 35. Let x(w) = 5*w**2 - 6*w - 17. Let t(o) = -4*f(o) + 9*x(o). What is the units digit of t(s)?
4
Suppose -97 = -2*i - u + 6*u, 0 = -4*u + 20. Let a = 106 - i. What is the tens digit of a?
4
Let n be (-6)/(-8) - 102/8. Let c(k) = -k + 21. What is the units digit of c(n)?
3
Let c(x) = -x**3 - x**2 + x + 5. Let w(a) = -a**3 - 2*a**2 + 8*a - 5. Let o be w(-4). What is the hundreds digit of c(o)?
1
What is the hundreds digit of -6*4/18*2061/(-12)?
2
Let c(o) be the first derivative of -o**5/40 + o**4/4 + 13*o**3/3 + 4. Let x(s) be the third derivative of c(s). What is the units digit of x(-20)?
6
Suppose 2*h = 5*k + 18, -4*k - 45 = -5*h - 7*k. Let t = h + -7. Suppose 2*j + t = 90. What is the tens digit of j?
4
Suppose 84 = 2*x + l + 350, -2*x = 3*l + 262. Let f = -106 - x. What is the units digit of f?
8
Suppose 4*x = -2*c + 7*c + 10, 0 = 3*x + 2*c - 19. What is the hundreds digit of -10 - -5 - -227 - (x - 1)?
2
Let g be -4 + ((-3)/15 - (-808)/(-10)). Let o = -28 - g. What is the tens digit of o?
5
Let f be -3 + -3 + 3 + 5. Suppose f*b - 310 = 124. What is the units digit of b?
7
Suppose 4*v = -2*r + 22, -5*r + 0*v + 22 = -v. Let c = r + -8. Let k = 6 + c. What is the units digit of k?
3
Let n be -3 - -49 - (-4)/(-1). What is the tens digit of (n/2 - 1) + 3?
2
Let s = 907 + -533. What is the units digit of s?
4
Suppose 3*i - 12 = 0, -18*q + 3*i - 12921 = -21*q. What is the units digit of q?
3
Suppose 60658 = 23*u + 4515. What is the hundreds digit of u?
4
Suppose 13*q - 9642 = 3228. What is the hundreds digit of q?
9
Let n be 4/22 + 31/11. Suppose 0 = -n*k - k + 12. Suppose 19 = -k*z + 4*z - 3*r, -3*r = z - 49. What is the tens digit of z?
3
Let y = 6514 - 3182. What is the tens digit of y?
3
Let j be 2/8 - (-75)/20. Suppose n + 36 = j*n. What is the units digit of n?
2
Let f = -7 - -9. Suppose -2*j + f*v = v - 16, 0 = j - 2*v - 14. What is the units digit of j?
6
Let u = -2671 - -4036. Suppose -13*p + 8*p = -u. What is the hundreds digit of p?
2
Suppose -5*z + 3*z + 8 = 0. Suppose -1 = z*o - 93. What is the units digit of o?
3
Suppose 0 = z + 4 + 3. Suppose 3 = 7*n - 8*n. What is the units digit of (z/n)/(5/15)?
7
Let n be (2 - (-16 + -3)) + 2. Let m = 32 - n. Suppose -6 = -3*l + m. What is the units digit of l?
5
Suppose -4*p + 16 = -2*k, 0 = -4*k - 12 - 4. What is the tens digit of 834/6 - (0 - p)?
4
Let k(j) be the first derivative of j**3/3 + j**2/2 - 6*j + 1. Suppose 3*p - 5*s + 11 = -0*p, -3*s - 27 = 3*p. What is the units digit of k(p)?
6
Let h = 12 + -6. What is the units digit of (-9)/h - (-210)/4?
1
Let r(p) = p**2 - 21*p + 16. What is the hundreds digit of r(-9)?
2
Suppose -458955 = -44*j - 49*j. What is the units digit of j?
5
Suppose 1146 = 4*g + 2*t - 476, 0 = 5*g - t - 2045. Suppose 2*u + 6*u = g. What is the units digit of u?
1
Let l(r) = -r**3 - 9*r**2 - 10*r - 10. Let w be l(-8). Let t = 7 + 13. What is the units digit of ((-24)/t)/(w/(-20))?
4
What is the tens digit of (-10)/(-8)*590760/225?
8
Let b(q) = 2*q - 4. Let j be b(3). Let s be 1/(j + -1) + 13. Suppose 4*k - 2*k - s = 0. What is the units digit of k?
7
Let b(n) = 6 + n - 4*n - 13. Let l be b(4). Let w = -9 - l. What is the units digit of w?
0
Let f be 1 + 1/((-3)/(-9)). Let r = f + -2. Suppose -r*i - 3*i + 135 = 0. What is the units digit of i?
7
Let m(n) = -n**2 + 9*n - 2. Let a be m(9). Let t be (-4)/(a - 3/(-3)). Let l(j) = 6*j - 1. What is the units digit of l(t)?
3
Suppose -29 = -4*t - 13. Suppose -2*j = 3*f - 138, -3*f + 228 = 2*f + t*j. What is the units digit of f?
8
Let u be (-15)/(-20) - 3/4. Suppose 0 = -u*q - q + 34. Let j = q - 27. What is the units digit of j?
7
Suppose -22*b - 9999 = -32109. What is the thousands digit of b?
1
Let r = -12 + 15. Suppose -3*k + 2*p = 4*p - 42, -r*p - 3 = -k. Suppose k*c - 8*c - 188 = 0. What is the tens digit of c?
4
Let q = -155 + 453. Let a = q + -213. What is the tens digit of a?
8
Let f(x) = -203*x - 169. What is the hundreds digit of f(-3)?
4
Let c(w) = w - 2. Let a be c(4). Suppose -a*z + 6*z + 13 = 3*r, -z = r - 2. What is the tens digit of 1/((-2)/(-62)) + r?
3
Let t(o) = 22*o - 13. Let s be t(1). What is the tens digit of 430/s - (98/(-63))/7?
4
Suppose 9 = -7*b + 10*b. Suppose l - 4*g + 20 = -b*l, -2*g + 10 = -4*l. Suppose q + l = 12. What is the tens digit of q?
1
Let d = -4 - -15. Suppose -f = -d - 43. What is the units digit of f?
4
What is the tens digit of (198/(-45))/((-2)/1355)?
8
Let f = -3 + 4. Let k be ((0 - -2) + -1)*2. What is the tens digit of f + k + -1 + 22?
2
Let c(l) = l + 2. Let r be c(13). What is the units digit of (24/r)/((0 - 2)/(-140))?
2
Suppose -4*j - 17 = g, 3 + 1 = 3*g + j. Suppose -o + 2*h = -g*o + 128, 0 = 2*h + 10. What is the tens digit of o?
6
Suppose 1843 = 2*s + v - 554, -2 = 2*v. What is the tens digit of s?
9
Let s(t) = 2*t**2 + 6*t + 30. What is the tens digit of s(29)?
8
Suppose 41*d - 7035 = 38*d. What is the tens digit of d?
4
Suppose -14913 = -57*b + 173586. What is the hundreds digit of b?
3
Let