git of f?
2
Let v = 28454 + 13272. What is the units digit of v?
6
Let f = 9 - 6. Suppose 0*s - f*s = -5*r - 5, -3*r - 3 = 0. Suppose -400 = -4*b - 4*n, -3*b - n + 305 + 5 = s. What is the units digit of b?
5
Let i = 923 + 656. What is the thousands digit of i?
1
Suppose 0 = -23*x + 65 + 4. Suppose -x*s - 253 + 811 = 0. What is the tens digit of s?
8
Suppose 2*r + n = 8605 + 13384, 0 = 3*r + n - 32981. What is the ten thousands digit of r?
1
Suppose 19*f - 38*f = -27*f + 167864. What is the units digit of f?
3
Suppose -28*n - 5427 = -19*n. Let g = n + 1470. Suppose 3*q - g = -120. What is the hundreds digit of q?
2
Suppose -2*o - o + 3 = 0, 0 = -5*j - 2*o + 1752. Suppose -q + 397 = -3*q + 3*l, -5*l + 990 = -5*q. Let n = j + q. What is the units digit of n?
3
Suppose v - 3*v - 2*l + 6 = 0, 5*v + 3*l = 13. Suppose -3*a = -0*t - t - 797, -5*a + 1328 = -v*t. What is the units digit of a?
6
Let t(z) be the third derivative of z**5/6 - 3*z**4/8 + 11*z**3/6 + 2*z**2. Let v be t(-9). Suppose 316 = 6*p - v. What is the units digit of p?
3
Let j(b) = -b - 17. Let v be j(-20). Let m be v*8/(-6) - -8. What is the units digit of (310/m - -2)*(-4)/(-3)?
6
Let t be (1 + (-22)/10)*-5. Suppose t*w = 12*w + 42. What is the units digit of 1186/10 - ((-98)/(-35))/w?
9
Suppose 5*d = 5*o + 234705, -16808 = 3*d + 2*o - 157676. What is the ten thousands digit of d?
4
Let b(g) = g**3 + 70*g**2 + 311*g + 26. What is the units digit of b(-64)?
8
Suppose -115720 - 58760 = -25*v + 128820. What is the units digit of v?
2
Suppose -114 = 2*t + 2*t - 2*v, 4*v + 162 = -5*t. Let i = t - -82. Suppose 3*g - 5*c = 52, -c + i = g + g. What is the units digit of g?
4
Let h be (-6 + 4)*(0/(-1) + -2). What is the hundreds digit of 4971/9 + h/(4 + -16)?
5
Let x(p) = 282*p**3 + 5. Let j be x(2). Suppose 4*q - 2249 = q - 5*d, -d = -3*q + j. What is the units digit of q?
3
Let w be (-4)/(-6) + 1/(3/(-17)). Let l be (0 - -1)*(-20)/(w - 0). Suppose -l*m = -a - 127, -m - 5*a + 30 + 7 = 0. What is the units digit of m?
2
Let p(x) = -x**3 + 30*x**2 + 13*x - 269. What is the units digit of p(21)?
3
Let p be (12*4/(-15))/((-2)/10). What is the thousands digit of (p/(-3))/((-854)/426 - -2)?
1
Suppose 14 - 2 = -3*d. Let j be -4 + (d - -12)*1. What is the units digit of 98/j - (-3)/2?
6
Let n(c) = c**3 - 3*c + 499. Let o be 19/57*0/(2 + -1). What is the hundreds digit of n(o)?
4
Let i be (326 - -1) + (-48)/(-16). Let m = -268 + i. What is the tens digit of m?
6
Let r(s) = s**2 + 5*s + 1. Suppose y + 3*x + 0 = 3, y + x + 5 = 0. Let o be r(y). Let t = 96 - o. What is the units digit of t?
9
Let q(s) = -s**2 + 175*s - 97. What is the hundreds digit of q(26)?
7
Suppose 4*s + 2*h - 205464 = 0, -100*s + 104*s - 205466 = -3*h. What is the ten thousands digit of s?
5
Let t = 2 + -1. Suppose 5*g - 15 = 3*f, -4*g + 11 = 3*f - t. Suppose d + 5*d - 846 = f. What is the hundreds digit of d?
1
Let m(d) = d**2 - 5*d - 5. Let r(s) = 4*s + 5. Let v(t) = 2*m(t) + 3*r(t). Let p = -49 + 43. What is the tens digit of v(p)?
6
Let h = -287 - -1583. Suppose 26*n = 23*n + h. What is the hundreds digit of n?
4
Let s be ((-4)/(-12))/(5/150). Suppose -6*c - s = -c. What is the tens digit of c/7 - 506/(-7)?
7
Suppose 2*b = 5*f - 157417, -71*f - 5*b - 31488 = -72*f. What is the units digit of f?
3
Suppose -20*j = -17*j + 9*f - 44283, 4*j = f + 59005. What is the thousands digit of j?
4
Suppose -53286 = -v + 3*n, 2*v - 5*n - 87807 = 18771. What is the ten thousands digit of v?
5
Let s(c) = 135*c - 58. Let t be s(-33). What is the hundreds digit of 46/161 - (t/7 - -1)?
6
Suppose 53*t - 10752 = 46*t. Suppose -2*o + 6*o - 1212 = -4*s, t = 5*s - 2*o. What is the tens digit of s?
0
Let o(a) = 6*a + 69. Let v be o(-25). Let h = v - -122. What is the units digit of h?
1
Let o(t) = 2186*t**2 - 1490*t - 8969. What is the hundreds digit of o(-6)?
6
Let b(n) = 2257*n + 297. What is the hundreds digit of b(4)?
3
Let f(j) = 9*j**2 + 7*j - 25. Let m(p) = -5*p**2 - 3*p + 12. Let g(i) = -6*f(i) - 11*m(i). What is the hundreds digit of g(21)?
2
Let u be (-105)/(-21) - (1 - 1105). Suppose -4413 = -7*z - u. What is the hundreds digit of z?
4
Let j = -383 + -147. Let o = -275 - j. Let c = -165 + o. What is the units digit of c?
0
Suppose -2*s = -21*z + 18*z - 7, -20 = 5*z - 5*s. Let m(w) = 84*w + 7. What is the tens digit of m(z)?
9
Let k = 1286 + -322. Suppose -j + 3*j = -5*t + 1219, -4*t + 4*j + k = 0. Suppose 0*d = -3*d + t. What is the units digit of d?
1
Let x = 2 - -1. Let s = 2613 + -2606. Suppose x*a + 40 = s*a. What is the units digit of a?
0
Suppose 0 = -2*q, 0 = 3*h + q + 2*q - 2997. What is the units digit of h?
9
Suppose -w - 4*z = -1, 8*z - 18 = 5*w + 5*z. What is the tens digit of 16/(-6)*((-3330)/24 - w)?
6
Let q(z) be the second derivative of 3*z**3/2 - 5*z**2 + 14*z. Suppose -2*p + 9 = -1. What is the units digit of q(p)?
5
Let g = 33 + -30. Suppose -k + 11 - g = 0. Let c = 138 + k. What is the units digit of c?
6
Suppose -9*q + 8 = -5*q. Suppose 0 = q*z + 8, -6*a - 3*z = -4*a + 6. Suppose 119 = b + 3*p, 92 - 586 = -4*b - a*p. What is the tens digit of b?
2
Suppose 3*t - 705 = -i, -289 - 434 = -i + 3*t. Suppose -3*l + 828 = -i. What is the tens digit of l?
1
Suppose k = 9*z - 13*z + 18716, 3*z + 3*k = 14046. What is the tens digit of z?
7
Suppose 0 = 3*n - 6, -5*r - 7*n + 1612 = -6*n. What is the units digit of r?
2
Suppose 4*j + 8 = 16, -4*t = 3*j - 14. Suppose -2*z + 348 = t*q, 4*z - 756 = -q - 48. What is the hundreds digit of z?
1
Suppose -5*j + 3*g + 36190 = 7*g, 0 = -j + 3*g + 7238. What is the units digit of j?
8
Suppose -17*d + 16*d + 4 = 0. Suppose 2*a + d*m - 970 = 0, 0 = 3*m - 1 + 7. What is the tens digit of a?
8
Let h(d) = 3*d**3 + 136*d**2 - 36*d + 105. What is the thousands digit of h(-44)?
9
Suppose 0 = -5*j - 0*j + 4*j. Suppose j = 4*l + 3*l - 224. Suppose g + 3 - l = 0. What is the tens digit of g?
2
Let k(c) = c**2 - 116*c + 8853. What is the hundreds digit of k(0)?
8
Suppose -4*k + 5*p + 13 = 0, 5*k - 12 = 26*p - 24*p. Suppose -k*c + 3*c - 1183 = 0. What is the tens digit of c?
8
Suppose 3*g - 782876 = -35*g. What is the ten thousands digit of g?
2
Let u = 103 + -70. Suppose 20649 + 15948 = u*i. What is the tens digit of i?
0
Let v(w) = -16*w + 30. Let d be v(5). Let j = 48 + d. What is the units digit of (4 - 1173/3)*j/6?
9
Suppose -32867 - 124 = 7*s. Let o = -2971 - s. What is the units digit of o?
2
Suppose 4*f = -0*f - 5*z + 26773, 0 = 4*f + z - 26769. Suppose -2*k + f = 5*n, 0*k - 2*k - 1336 = -n. What is the tens digit of n?
3
Suppose s + 2*w - 17412 = 0, -82*w - 3 = -81*w. What is the tens digit of s?
1
Suppose 12 - 7 = r. Suppose 3*w + 16 = s, s - 16 = r*w + 8. What is the units digit of 184/s - (0 - -2)?
4
Let j be -4 + 1 + (-10 - (0 - 2461)). Suppose -593*h = -584*h - j. What is the tens digit of h?
7
Let k(m) = -m - 13. Suppose 2*s - 85 = 5*y, -2*s = 4*y + s + 45. Let n be k(y). Suppose n*l + 41 = 93. What is the units digit of l?
6
Suppose -7 = -2*r + n, 8*r - 8 = 5*r - n. Suppose -2665 = -3*s - 5*i, -r*s + 8*i = 10*i - 2668. What is the tens digit of s?
9
Let f(g) = 2*g**3 + g**2 + 2*g + 2. Let y be f(0). Suppose 4 = y*u - u. Suppose -u*h + 280 = -4*l, 2*h - 3*l - 145 = -0*h. What is the tens digit of h?
6
Let a(w) = -3*w**3 - 4*w**2 - 7*w + 5. Suppose 0 = 3*d + 4*r + 12, 0*d = -2*d + r - 8. Let o be a(d). What is the tens digit of 21/(-42) + o/2?
8
What is the ten thousands digit of 6 + (-76)/6 + 7 - 109167/(-9)?
1
Let s(b) = b**3 - 29*b**2 - 11*b - 58. Let j = -136 - -166. What is the units digit of s(j)?
2
Let d(q) = -2*q**3 + 9*q**2 - 12*q - 12. Let c be d(-12). Suppose -7*b + 5070 = -c. Suppose -z - 5*z = -b. What is the units digit of z?
7
Let j = -722 - -794. Let z = 1427 - j. What is the hundreds digit of z?
3
Let w = -87 + -67. Let a = 224 - w. What is the tens digit of a?
7
Let g = 8505 + -59. What is the hundreds digit of g?
4
Let b be ((-12)/6)/(-2)*-8. Let u be (-914)/b - (-9)/12. What is the units digit of -5 + u + (-4 - -3)?
9
Let k(g) = g**2 + 39*g - 9. Let f be k(12). What is the units digit of -5 - -2 - (-7 - f)?
7
Let n(a) = 13864*a**2 + 34*a + 34. What is the thousands digit of n(-1)?
3
Let i = 2841 - 1163. What is the thousands digit of 6/(-18)*-6 + i?
1
Let j(w) = -w**3 +