1. Suppose -449 + 1203 = a*d. What is the units digit of d?
8
What is the thousands digit of (-20)/22*(-27700 - -35)?
5
What is the tens digit of (15 - 276)*(504/(-7) - 4)?
3
Suppose 5*u - 601 - 789 = 2*x, -x - 5 = 0. Let c = u - 255. What is the units digit of c?
1
Suppose 0 = -8*f + 21*f - 116428. What is the units digit of f?
6
Suppose -3*o + 7*o - 207900 = -18*o. What is the hundreds digit of o?
4
Suppose 0 = 3*y + v - 30916, -3*v = 3*y - 6074 - 24832. What is the thousands digit of y?
0
Let m(f) = -f**3. Let z(l) = -2*l**3 - 11*l**2 - 4*l. Let t be 3 + (-10)/4*112/70. Let q(v) = t*z(v) + 3*m(v). What is the hundreds digit of q(10)?
1
Let i(r) = -r**3 - 8*r**2 + 34*r + 14. Let u be i(-11). Suppose 4*f - 5*m - 1387 = 0, 9*m - 1049 = -u*f + 4*m. What is the units digit of f?
8
Let f(x) = -x**3 + 13*x**2 - 29*x - 5. Let m be f(10). Let p = 11 + -8. Suppose -m*v = -p*v - 200. What is the tens digit of v?
0
Let v(f) = -f**2 - 66*f + 733. What is the thousands digit of v(-57)?
1
Suppose -5*v = -5*c + 64180, 4*c - 5*v = -8*v + 51337. What is the units digit of c?
5
Let m(v) = 2*v**2 + 26*v - 16. Let i be m(-15). What is the tens digit of (-11)/i - 858/(-8)?
0
Suppose 7124 = -9*b - 25798. What is the hundreds digit of (-95)/(-30) + -3 + b/(-12)?
3
Let t = 8092 - 5354. What is the units digit of t?
8
Suppose -460 = -4*y - s + 287, 546 = 3*y - 4*s. Let k(z) = -z**3 + 15*z**2 - 14*z - 3. Let x be k(14). What is the units digit of y/24 + x/4?
7
Let y be (12 + -220)/((-1)/1). Suppose y = x - 267. What is the tens digit of x?
7
Suppose 3*d + 29 - 17 = 0. Let b(c) = -c**3 + 3*c**2 - 3*c + 5. What is the units digit of b(d)?
9
Let v(h) = -h**2 + 12*h + 24. Let y(g) = 6*g**2 - 34*g - 2. Let l be y(6). What is the tens digit of v(l)?
4
Let v(w) = -6*w**2 - 25*w - 9. Let f be v(-7). Let b = 772 + f. What is the hundreds digit of b?
6
Let o be (75/(-2))/(9/(-144)*-8). Let z(j) = -j**2 - 12*j + 4. Let v be z(-14). Let i = v - o. What is the tens digit of i?
5
Let z = 124583 - 74680. What is the hundreds digit of z?
9
Let o = 15232 - -890. What is the tens digit of o?
2
Let z = 18147 - 8409. What is the hundreds digit of z?
7
Let j(q) = 15*q**3 + 8*q**2 - 123*q + 1391. What is the hundreds digit of j(16)?
9
Let v(d) = -d**2 - 24*d - 2. Let g(u) = -5*u**2 - 2*u + 3. Let x be -1*(-6)/(-9) + (-8)/6. Let l be g(x). What is the hundreds digit of v(l)?
1
Let a = 298 - 97. Let n = 502 - a. What is the units digit of n?
1
Let f(z) = z**3 - 3*z**2 - 4*z + 3. Let g be f(4). Suppose -4*m - g*d + 1968 = m, 4*d = -16. What is the hundreds digit of m?
3
Suppose 290538 = 17*c - 52233 - 121635. What is the thousands digit of c?
7
Let w = 21 - 16. Suppose 2*j - s = 12, -2*j - w*s = -0*s - 36. What is the tens digit of 2*(-1)/(j/(-204))?
5
Let s(x) = 2*x**3 - 70*x**2 - 28*x + 154. What is the units digit of s(39)?
0
What is the tens digit of -1 - (-3930)/(26/13)?
6
Let z = 129 + -127. Suppose 2*v = 4*i + 6*v - 912, 0 = -z*i + 2*v + 440. What is the hundreds digit of i - 31 - (-3)/1?
1
What is the hundreds digit of ((-6)/(-12))/((-1)/(-36560))?
2
Let o(u) = -11 + 9 + 4*u**2 + 9*u - 2*u**2. Let n be o(-5). Suppose n*d + 4*z - 133 = 0, -5*d - z + 347 - 114 = 0. What is the units digit of d?
7
Suppose -9*l - 1153 = -4348. Suppose 5*h - l = -5*b, -h = 2*b - 4*b - 68. What is the tens digit of h?
7
Let o(i) = 4271*i**2 - 46*i - 87. What is the units digit of o(-2)?
9
Suppose 26*x + 65*x + 174717 = 118*x. What is the thousands digit of x?
6
Suppose -94509 = 16*m + 15*m - 446235. What is the hundreds digit of m?
3
Let b(r) = -r**3 - 48*r**2 - 151*r + 27. What is the tens digit of b(-50)?
7
Suppose -11701 - 1763 = -17*p. What is the hundreds digit of -6*1 - (37 - p)?
7
Let x(c) be the second derivative of -c**5/20 - c**4/12 + 4*c**2 - 143*c. Let o be 2 + 1 - (-1 - -10). What is the units digit of x(o)?
8
Let l(r) = 5*r**2 - 7*r - 22. Let b be l(13). Suppose 104*u - 107*u + b = 0. What is the hundreds digit of u?
2
Let i(h) = 18307*h**2 + 94*h - 95. What is the hundreds digit of i(1)?
3
Suppose -21*r - 32956 + 133693 = 0. What is the hundreds digit of r?
7
Let x be (-2)/3 + (44/12 - 2). Let c(h) = 36*h**2 - 2*h + 1. What is the tens digit of c(x)?
3
Suppose 26982 - 2746 = f - 6*x, 121244 = 5*f + 2*x. What is the thousands digit of f?
4
Let v = 23594 + -12473. What is the tens digit of v?
2
Let m(a) = -315*a + 907. What is the thousands digit of m(-31)?
0
Let c be (-1)/2 + 14/4. Let x(q) be the first derivative of 19*q**2/2 + 25*q + 2266. What is the units digit of x(c)?
2
Let b be (8 + -8)*2/8. Suppose b = 39*j - 24484 - 9914. What is the tens digit of j?
8
Let q be (-104)/(-39) - 4/(-3). Suppose 13*a - 4968 = q*a. What is the hundreds digit of a?
5
What is the tens digit of 26/(-39)*(1 - (-221501)/(-14))?
4
Suppose -4*v - 25 = -3*q, -4*q - 4*v + 8 = -3*v. Suppose -5*c = -z + 1, 5*z + q - 8 = 0. What is the units digit of c - ((-8)/2 + -9)?
3
Let l = 6466 - 12031. What is the hundreds digit of 10*-2*l/60 + 0?
8
Suppose 4*t + 1345 = z, -2*t = -0*t - 2*z + 668. Let n = t - -556. What is the hundreds digit of n?
2
Suppose -c - 4*r + 1904 = -0*r, c + 5*r = 1906. Let i = 2763 - c. What is the units digit of i?
7
What is the thousands digit of (-10)/(-55) - 233966/(-22)?
0
Let p = -14849 - -28737. What is the tens digit of p?
8
Let k = -1523 + -235. What is the tens digit of (108/(-81))/(4/k)?
8
Suppose 19*h - 935349 = 429786 - 351751. What is the ten thousands digit of h?
5
Suppose 4*c - 5*c = 81. Let u be 588/(-27) + 3*6/c. Let x = u + 130. What is the hundreds digit of x?
1
Let v be 12/10*(-15)/6. What is the hundreds digit of 2/v + (-7880)/(-30)?
2
Let j(q) = 132*q - 159. Let y be 0 + 0 + -4 + 10. What is the hundreds digit of j(y)?
6
Suppose 33068 - 124315 = -5*w - y, -4*y = 32. What is the hundreds digit of w?
2
Let q = 12529 + -7426. What is the thousands digit of q?
5
What is the units digit of (3 - 7) + 1 + 29 + 2141?
7
Let y = 47186 - 19518. What is the tens digit of y?
6
Let z(b) = 12*b**2 + 4*b. Let v be z(-1). Let q(k) = k**3 - 9*k**2 + 11*k + 8. What is the tens digit of q(v)?
3
Let j = 655 + 713. Suppose 3*b - j - 723 = 3*t, -4*b + 2794 = -t. What is the hundreds digit of b?
6
Let o be 7310/51 - (8/(-6))/2. Suppose 6*q - 5*q = o. Let m = -31 + q. What is the units digit of m?
3
Let w(u) = u**3 - 4*u**2 - 6*u + 6. Let f be w(5). Let r be (-4 - -3)*f*-4. Suppose -r*s = -12, -14 = -b - 3*s + 6. What is the tens digit of b?
1
Let c(k) = -190*k**2 - 1. Let d be (-1 + 3)/(4/(-4 - -6)). Let w be c(d). What is the tens digit of (5 - 10)/5*w?
9
Suppose -2*x + 12 = 3*d + 2*x, 2*x = 2*d + 6. Suppose 40*c - 43*c = d. Let a(o) = o**3 - o**2 + 2*o + 183. What is the tens digit of a(c)?
8
Let u(a) be the third derivative of a**5/12 - a**4 - a**3/3 - 4*a**2. Let z be u(-6). Suppose -z + 94 = -4*g. What is the units digit of g?
7
Suppose -48*s = -34*s - 78764. What is the tens digit of s?
2
Let i be ((-252)/(-6))/7 - 374. Let j = i + 422. What is the units digit of j?
4
Let p(d) be the first derivative of 53*d**2 - 7*d + 14*d**2 + 13 + 11 + 13. What is the tens digit of p(2)?
6
Let g be (660/35)/((-46)/(-1127)). Let a = 146 + 182. Let k = g - a. What is the tens digit of k?
3
Suppose 3*r - 4 + 100 = 0. Let x = r - -48. Let m(l) = -l**2 + 18*l - 18. What is the units digit of m(x)?
4
Suppose 87*a = 85*a + 2. What is the hundreds digit of (a - -306) + 3/(-5 + 4)?
3
Let p(c) = -176*c + 58. Let g be p(6). Let h = 1444 + g. What is the tens digit of h?
4
Suppose 4*h + h = 10. Suppose 5*f + h*g + 3*g + 25 = 0, 0 = g + 5. Suppose f = -2*k + 12 + 56. What is the tens digit of k?
3
Let q be 6/8 - (-4)/((-32)/6). Suppose q*w + w = 50. Suppose w + 35 = d. What is the units digit of d?
5
Let y be 360/(((-18)/(-12))/1). What is the hundreds digit of 413*(y/35 + -6)?
3
Suppose 0 = 3*c + 430 + 407. Let w = 5 + c. Let t = w + 490. What is the units digit of t?
6
Suppose -93*y + 36661 = -88*y - 20364. What is the hundreds digit of y?
4
Let n = -13742 + 27612. What is the thousands digit of n?
3
Suppose 2*c - 16 = 42. Let q(o) = 4*o - 107. What is the units digit of q(c)?
9
Suppose 0 = 123*q - 26*q - 3028631. What is the ten thousands digit of q?
3
Let s = 6112 - 2284. What is the units digit of s?
8
Let u(w)