- 1. What is the units digit of m?
3
Suppose 1183905 + 653549 = 55*k + 28*k. What is the ten thousands digit of k?
2
Suppose -5*p - 4*q + 46211 = 0, -p + q + 7405 = -1848. What is the thousands digit of p?
9
Let p(j) = -10*j**2 - 3*j + 3. Suppose 0 = -3*o + 3. Let b be p(o). What is the tens digit of 104 - 5/2*(-16)/b?
0
Let o be (-1 + (-6)/(-4))*(26 + -4). Let t = o + 4. What is the tens digit of (-6)/t - (-1161)/15?
7
What is the ten thousands digit of (2 + 182/(-65))*-15470?
1
Let w(z) = -6*z**2 + 8*z - 17. Let p(c) = 5*c**2 - 7*c + 18. Let q(u) = -2*p(u) - 3*w(u). Let h be q(6). Suppose 0 = k + 2*k - h. What is the tens digit of k?
8
What is the units digit of (-131)/1441 - 94/(-66) - (-24164)/3?
6
Let o be -1 - 2 - (-480)/(-2). Let r = o + 134. What is the hundreds digit of ((0 - 2) + -2 + 3)*r?
1
Let t(a) = 658*a + 7548. What is the tens digit of t(32)?
0
Let g(b) = -39*b + 15. Let r be g(-9). Suppose 5*w - 2223 + 403 = 5*k, 0 = w - 2*k - r. What is the hundreds digit of w?
3
Suppose o + 3 = 7. Let t be 0*(-2)/o + -14. Let j = t - -61. What is the units digit of j?
7
Suppose 0 = 8*a - 11*a + 5*q - 15, -a + 3*q - 9 = 0. Suppose u - 3*p - 1950 = a, 25*u - 28*u = 2*p - 5905. What is the hundreds digit of u?
9
Let j = 10514 - 3473. What is the tens digit of j?
4
Let a be -2*((-29)/(-2) + (11 - 13)). Let v = -21 - a. Suppose 0 = -6*q + v*q + 78. What is the tens digit of q?
3
Suppose -25*j + 70*j - 43*j = 98464. What is the hundreds digit of j?
2
Suppose -4*u + 6*u - 3*g - 265 = 0, -3*u + 396 = -4*g. Let b = u - 72. What is the units digit of b?
6
Let a be (357 + 0)/(5 + 65/(-10)). Let x = 289 + a. What is the tens digit of x?
5
Let u = 8 - 2. Let v = 111 - 112. What is the hundreds digit of (-3 + u - 197)/v?
1
Let l(t) = 10*t + 24. Let n be l(8). Suppose z = 3*z + n. Let f = -23 - z. What is the tens digit of f?
2
Let u(x) = x**3 - 5*x**2. Let y be u(5). Suppose -4*w + y*w = 76. Let c = 86 + w. What is the tens digit of c?
6
Let l be 7*(-12)/(-21) - (-1 + 10). Let c(z) = -2*z + 25. Let v be c(l). Let g = -17 + v. What is the units digit of g?
8
Let q(n) = 2*n - 11. Let b = 57 + -52. Suppose b*f = p + 12 + 25, -18 = -4*f - 5*p. What is the units digit of q(f)?
3
Let w(m) = 60*m - 296. Let y be w(5). What is the units digit of (-95)/1*(y + -5)?
5
Suppose 12*z = -2*z + 20874. What is the hundreds digit of (-13)/(-52) + 6*z/24?
3
Suppose 17*g + 2*q = 15*g + 8564, -4*g - 7*q = -17125. What is the thousands digit of g?
4
Suppose 0 = -4*q - d - d + 48, 5*q + 5*d = 60. Suppose -11*f + q*f - 65 = 0. Suppose f + 4 = c. What is the tens digit of c?
6
Suppose 5*w - 4967 = -n, -3*w - 3*n + 3705 = 720. Suppose -5*l + w = -2*l + u, -2*u = 0. Suppose -f - l - 42 = -3*b, -2 = -f. What is the tens digit of b?
2
What is the tens digit of 2908/(20/21 + (-124)/434)?
6
Let a be 1434/(-12)*(2 + (2 - 2)). Let k = a + 544. What is the units digit of k?
5
Let h be ((-96)/15)/(1*(-3)/45). Suppose 0 = -3*d + h + 174. What is the tens digit of d?
9
Suppose 32 = -3*w - 5*c + 7, 2*c = -4. What is the hundreds digit of 8638/20 - ((-102)/20 - w)?
4
Suppose 12*l - 10*l - 32 = 0. Let p(z) = 2*z**2 - 20*z + l*z + 1 - 5 + 3. What is the tens digit of p(5)?
2
Let u(x) = 7*x + 65. Let r be u(-9). Suppose 3*d + 154 = -r*w + 3804, 4*d - 4840 = 4*w. What is the units digit of d?
4
Suppose 14*a + 138 = 37*a. Suppose 1677 = 2*j + 5*d, -a*d - 1675 = -2*j - 9*d. What is the units digit of j?
6
Let s(l) = -l**3 + 30*l**2 + 116*l - 228. What is the hundreds digit of s(-24)?
0
Let d = -28350 + 53534. What is the thousands digit of d?
5
Let o(a) = 32*a**3 + 8*a**2 - 60*a - 39. What is the ten thousands digit of o(7)?
1
Let o(f) = 16*f**2 + 12*f + 1. Suppose 0 = 3*d + 2*t + 5 + 11, 0 = -d - 2*t - 12. Let r be o(d). Let q = r - 20. What is the units digit of q?
1
Let t = -28 - -33. Suppose u + 361 = t*c, -3*u - 402 = -5*c - 39. Suppose -q = q + 4*w - 72, 2*q - c = -5*w. What is the tens digit of q?
3
Let b(u) be the second derivative of u**5/5 + u**4/3 - u**3/6 - 7*u**2/2 - u + 14. What is the hundreds digit of b(4)?
3
Let q(c) = 43*c + 391. Let r = 752 + -760. What is the units digit of q(r)?
7
What is the tens digit of 3*((-1288480)/12)/(-40)?
5
Let i = 37 - 38. Let g(a) = 27*a - 3. Let b be g(i). Let z = b + 45. What is the tens digit of z?
1
Suppose -5*h + 4*v + 113839 = 37542, 6*v = 12. What is the thousands digit of h?
5
Suppose -7*k = -3*k + 20. Let l(g) = -54*g - 18. Let u be l(k). Suppose -u = -5*j + j. What is the units digit of j?
3
Suppose 2*p = -151 - 977. Let s = -798 + 1595. Let k = s + p. What is the units digit of k?
3
What is the units digit of (0/7 - 9 - 6008)*-7?
9
Suppose 13*r + 6*r = -475. What is the units digit of (-8415)/r - (-4)/10?
7
Let z = 66423 + -28960. What is the thousands digit of z?
7
Let z(l) = 3*l**3 - 27*l + 27. What is the tens digit of z(14)?
8
Suppose 13*d - 9 = 16*d, 2*d = 2*s - 33258. What is the hundreds digit of s?
6
Suppose -3*j + 2*c = -14, -5*j - 3*c - 4 = -j. Suppose j*i = -4*a + 534 + 318, 0 = 3*a + 4*i - 639. What is the hundreds digit of a?
2
Suppose 0 = -3*o - 4*s + 9748, -27*o - 13010 = -31*o + s. What is the tens digit of o?
5
Let o(v) = -v**3 - 2*v**2 - 3*v - 4. Let y be o(-2). Let a(g) = 4*g**y - 3 - 11 + 1549*g - 1551*g - 9. What is the units digit of a(9)?
3
Let o be 310/(-1)*((-84)/(-7) - 9). Let y = o - -1840. What is the units digit of y?
0
Let x be 234/(-24) + (-1 - (-14)/8). Let p be 2/(-6) + (-3108)/x. Let f = p - 206. What is the units digit of f?
9
Let l = 1130 + -663. Let c = l - -135. What is the units digit of c?
2
Let x(p) = p**3 + 7*p**2 - 3*p - 9. Let z be x(-7). Suppose z + 15 = 9*c. Suppose 5*n - c*l = 186, 3*n + 2*l - 13 = 110. What is the units digit of n?
9
Let t(r) = 9*r**3 - 16*r**2 - 14*r + 130. What is the thousands digit of t(6)?
1
Let b = 1021 + 3605. What is the hundreds digit of b?
6
Let n = 20210 + 5174. What is the units digit of n?
4
Suppose 40*o - 110863 - 10737 - 88800 = 0. What is the tens digit of o?
6
Let p(c) = -13*c**3 - 3*c**2 + 2. Let f be p(-2). Suppose -l = 3*q - 9 - 134, -2*q = 2*l - f. Suppose -510 = -6*g + q. What is the units digit of g?
3
What is the tens digit of -3 + 14492/6 + 38/57?
1
Let m(q) = -6*q + 170. Let t be m(29). What is the units digit of (3180/t)/(-1 + 0)?
5
Suppose 28*n + 37*n = 310*n - 7568785. What is the hundreds digit of n?
8
Let p(t) = -218*t**3 - 2*t**2 - 6*t - 5. Let u be p(-2). Let o = u + -858. What is the hundreds digit of o?
8
Let o(v) = v**3 - 10*v + 7. Let y be 2 + 1 + 1 - -1. What is the tens digit of o(y)?
8
Suppose 0 = -14*h + 395138 + 346540. What is the thousands digit of h?
2
Let h(d) = -8*d**2 - 2. Let t be h(-1). What is the hundreds digit of 627/((-9 - t)*9/6)?
4
Suppose -23*q = -7*q - 3*q - 217984. What is the ten thousands digit of q?
1
Let a = -6718 + 8177. What is the thousands digit of a?
1
Suppose 22*j - 124241 = 5515. What is the hundreds digit of j?
8
Suppose -31729*l + 188020 = -31715*l. What is the thousands digit of l?
3
Suppose 19*l = -16073 - 47007. What is the units digit of (-1)/(-3) + l/(-30)?
1
Let d be (2/(-6))/(-1 + 5/6). Let z be (-1)/(44/(-80)*d + 1). Let q(l) = 10*l - 35. What is the units digit of q(z)?
5
Let k(t) = 67*t - 103. Let n(f) = 201*f - 308. Let u(z) = -17*k(z) + 6*n(z). What is the tens digit of u(2)?
3
Let u be -3806*(35/(-21) - (-33)/(-18)). Suppose -6679 - u = -32*g. What is the hundreds digit of g?
6
Let q be ((-1644)/15 + 0)/((-10)/75). Suppose -34 = 2*l - q. What is the units digit of l?
4
Let j = 387 - 247. Let p be 6 + 1 + (-5 - -2). Suppose 0 = -p*s + 5*g + j, 3*s - 105 = 3*g - 0*g. What is the tens digit of s?
3
Suppose -86323 - 417297 = -20*w. What is the ten thousands digit of w?
2
Suppose 28*a - 834219 - 583349 = -282280. What is the ten thousands digit of a?
4
Let d(j) = -j**3 - 3*j**2 + 11*j - 6. Let w = 275 - 287. What is the hundreds digit of d(w)?
1
Let u(c) = 4*c**2 + 8*c. Let q be u(-2). Suppose 3*s - 392 - 202 = q. What is the units digit of s?
8
What is the thousands digit of (-88188)/(-14) - (-39 - (-5480)/140)?
6
Let v(c) = -2*c. Let b be v(0). Suppose 23*w - 5*w - 24138 = b. What is the units digit of w?
1
Let h be (-51714)/3 + 1 + -1. What is the tens digit of (h/65)/((-4)/30*3)?
6
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