e units digit of z(j)?
4
Suppose -492*z - 2*j = -494*z + 7082, -14167 = -4*z + 5*j. What is the thousands digit of z?
3
Suppose 0 = -23*z + 19*z + 12. Suppose -z*c = c - 72. Suppose -15*g - 783 = -c*g. What is the units digit of g?
1
Suppose 4*c = 6*c - 10. Suppose 32 - 2 = 10*u. Suppose 5*b - u*b = -c*s + 181, -b + 98 = 5*s. What is the units digit of b?
3
Suppose 88*q - 76680 = 68*q. What is the thousands digit of q?
3
Let b be 60/50 + (-73195)/(-25). Suppose 15*a - b = 6326. What is the units digit of a?
7
Let t(a) = 421*a + 47. What is the hundreds digit of t(3)?
3
Suppose -13*j - 1546 = -15*j - 4*l, j + 5*l - 773 = 0. What is the hundreds digit of j?
7
Suppose 33*u - 229 + 64 = 0. Let h(r) = 9 - 1 + 9*r + 5*r. What is the units digit of h(u)?
8
Let m(r) = -r**2 + 19*r - 14. Let a = -30 + 48. Let i be m(a). Suppose i*p - 6*p + 152 = 0. What is the tens digit of p?
7
Let s = -129 - -87. What is the units digit of s/(-147) - (-5764)/14?
2
Suppose 5*n + 16 = 2*p - 10, -p + 3*n + 15 = 0. Suppose 5*v + 3*h = 3657, p*h - 4 = 2*h. What is the hundreds digit of v?
7
Let u(j) = -186*j + 1302. What is the hundreds digit of u(-33)?
4
Let a = -84 - -89. Let o be ((-6)/15 - (-2)/a)/(-1). Suppose o = 13*m + m - 2016. What is the units digit of m?
4
Let h(f) = -293*f - 5. Let g be h(-4). Suppose 6*j - 3*j - g = -3*d, 0 = -j - 5*d + 389. What is the units digit of j?
9
Let t(s) = -74*s + 1414. What is the tens digit of t(-6)?
5
Suppose 2*p - 4*s - 2 = 14, -5*p - s = -7. Suppose 0 = -p*b + 4. Suppose -b*m + 129 = 5*i, -4*m + 66 + 234 = -4*i. What is the tens digit of m?
7
Let d be (-4)/((-96)/(-36)) + (-23713)/(-2). Suppose -12*k + 6205 = -d. What is the units digit of k?
5
Let f = 4748 + 493. What is the tens digit of f?
4
Let s(d) = d**3 - 5*d**2 + 5*d + 9. Let a be s(5). What is the hundreds digit of 135975/357 + 4/a?
3
Suppose -m - 15 + 50 = 0. Let w = 102 - m. Suppose -h + w = 6. What is the units digit of h?
1
Let q(y) = 130*y**2 + y - 2. Suppose 118*s = 121*s - 6. What is the tens digit of q(s)?
2
Suppose 17*r - 2546 = 43473. What is the tens digit of r?
0
Let l(d) = -3*d**3 - 34*d**2 + 21*d - 23. Let t be l(-12). Suppose -t*i + 13345 = 4*i. What is the tens digit of i?
8
Let k(t) = 26*t - 15. Let v be k(-12). Let h be 8/60 - 464/(-120). What is the units digit of (-4)/(-18)*v*(-6)/h?
9
Suppose 11817 = 15*d - 41373. Suppose -13*c + d = -4*c. What is the hundreds digit of c?
3
Suppose -9 = -r + 2*z, 2*r + 2*r - 10 = -5*z. Suppose -2*q - r*d + 1546 = q, -3*d + 2054 = 4*q. What is the units digit of q?
2
Let d(a) = 11*a - 5. Let p be d(4). Let m(y) = 4*y**2 + 5*y**2 - 40*y**3 + 11 + p*y**3 + 25*y. What is the units digit of m(11)?
4
Let k be 2/2*154/(-2). Suppose u - 93 = -5*d + 53, -20 = 5*d. Let f = u + k. What is the units digit of f?
9
Suppose -402*z + 86*z = -9842768. What is the tens digit of z?
4
Suppose 3*x + 4*m - 108912 = 0, -7219 + 43483 = x + 8*m. What is the tens digit of x?
1
Let f(j) be the third derivative of -j**6/120 - j**5/30 + j**4/12 + 5*j**2. Let a be f(-2). What is the units digit of 5 + (-26)/(-2) + a?
4
What is the thousands digit of ((-3)/(-9))/(9/290844)?
0
Suppose 66 = 21*u + 12*u. Suppose -s + 555 = -u*q, -11*q + 2723 = 5*s - 8*q. What is the units digit of s?
7
Let z(y) = -y**3 + 12*y**2 + 15*y - 5. Let f be z(13). Suppose 4*p + 3*i = f, -p = -2*p + i. Suppose 0 = p*q - 61 - 92. What is the units digit of q?
1
Let o be (-2 - -2) + 0 - 3/(-1). Let r be 4/(1 - (-1)/o). Suppose -r*x + 183 = -3*i, 3*x + 2*i - 312 = -2*x. What is the tens digit of x?
6
Suppose -21 = -3*p + 4*z - 5*z, 2*z = -p + 7. Suppose p*l = -80 + 633. What is the tens digit of l?
7
Suppose -70*t = -65*t + 5*s - 6730, -5384 = -4*t - 2*s. What is the thousands digit of t?
1
Let d be 6512/(-28) - 9/21. Let k = -186 - d. What is the units digit of k?
7
Let t = -356 + -240. Let n = t - -963. What is the tens digit of n?
6
Let h be 1/(2*2/932). Suppose 1166 - h = 3*l. Suppose 0 = -2*m - 10, -5*z + 3*m - l + 1281 = 0. What is the units digit of z?
1
Suppose 5*r - 9 = 1. Suppose 3*t - 3*d - 499 = -r*t, -3*d + 309 = 3*t. Suppose p + 3*k - t = 0, -2*p + 199 = 5*k + 2. What is the units digit of p?
6
Let q = -296 - -94. Let c be 4 - 5 - q/(-2). What is the tens digit of (-8)/(0 - (-4)/c)?
0
Let m(h) be the second derivative of h**3 - 8*h**2 - 21*h. Let n be m(3). Suppose y = -4*d + 51, 0*y - n*y + 5*d + 154 = 0. What is the units digit of y?
7
Suppose -4*d + 5 = -3*q - 6, -3*d = -q + 3. Let n(i) = -i**3 - 4*i**2 + 33*i - 7. What is the units digit of n(q)?
1
Let z(q) = -2*q - 33. Let c be z(-19). Suppose 6*m + c*m - 5577 = 0. What is the units digit of m?
7
Suppose l + 6*w - 438 = 4*w, 0 = -5*w. Suppose 3957 - l = 9*x. What is the units digit of x?
1
What is the thousands digit of (4/(-34) + 383220/(-816))*-12?
5
Let y = 75 - 72. Let t be 12 + -9 + -1*y. Suppose 0 = -t*z + 5*z - 2*i - 137, -2*i + 95 = 3*z. What is the tens digit of z?
2
Let z = -726 - -578. Let m = z + 1098. What is the hundreds digit of m?
9
Suppose -4*m = -5*d + 7*d - 3866, 4*m = -5*d + 3869. Suppose 2790 = 3*q - m. What is the hundreds digit of q?
2
Let q = 82 + -57. Suppose -3*l = 3*p + 2*p - q, -l + 2*p = 10. Suppose 0 = d - 5*g - 3 - 73, 4*g - 12 = l. What is the units digit of d?
1
Let r(k) = 3*k**2 + 29*k + 46. Let q be r(-7). What is the tens digit of (q - -9)/((-2)/994)*1?
9
Let o = -48 + 48. Suppose 0*l + o*l = l. Suppose -3*x - 83 = -5*g, l*g = -2*g + x + 33. What is the tens digit of g?
1
What is the ten thousands digit of (-2)/((-80)/100)*19390?
4
Suppose -1555 + 4601 = 2*v. What is the units digit of v?
3
Let a(n) = -n**3 - 18*n**2 + 39*n - 17. Let q be a(-20). What is the units digit of (-98)/q*(-13 - 44/(-11))?
4
Let u(z) = -z**3 + 2*z**2 - 13*z + 12112. What is the ten thousands digit of u(0)?
1
Suppose -5*g + 11*t = 12*t - 243713, -2*g = -3*t - 97492. What is the tens digit of g?
4
What is the thousands digit of (2547/(-3))/((2/316)/(46/(-92)))?
7
Suppose 3*k + 23 + 19 = 0. Let v(r) = 20 + 6*r - 11*r**2 - 4*r**2 - 20*r - 8 - 11 - r**3. What is the units digit of v(k)?
1
Let z(x) = -3*x**2 + 17*x + 3. Let s be z(6). Let b be 6/4*s/(18/(-8)). Suppose -3*j - 5*f + 30 = -0*f, -24 = -b*j - 2*f. What is the units digit of j?
5
Let b be (0/(-2) - 5) + 9. Suppose 0 = -q - 3*k + 496, 0 = -b*q - 2*k + 4*k + 1984. What is the tens digit of q?
9
Let c be (-144)/(-18) + -1 + -16. What is the units digit of (((-1710)/(-20))/c)/(3/(-66))?
9
Let q(k) = -k**3 + 12*k**2 - 21*k + 10. Let x be q(9). Suppose r = h + 2*r - x, 4*h - 2*r - 286 = 0. Suppose -h = 3*p - 300. What is the tens digit of p?
7
Suppose 10*f - 265741 = -98891. What is the units digit of f?
5
Let z(g) = g**3 - 6*g**2 + 2*g - 9. Let n be z(6). Let s be (-32)/(-5) + n/5. Suppose -s*v - 3*v + 1140 = 0. What is the hundreds digit of v?
1
Let m be (-833)/(-136) + (-1)/8. What is the units digit of 24498/15 - m/5?
2
Let x = 20 + -18. Let m be ((-3)/5)/(x/10). Let t(c) = 4*c**2 + 3*c + 4. What is the tens digit of t(m)?
3
Suppose 2668 = -19*x + 15*x. Let n = -257 - x. What is the tens digit of n?
1
Suppose 5*z - 252 = -4*z. What is the hundreds digit of ((-1796)/(-28) - -3)/(4/z)?
4
Suppose -21*h + z + 110 = -25*h, 137 = -5*h - z. Let v(n) = -n**3 - 25*n**2 + 9*n - 98. What is the thousands digit of v(h)?
1
Let y = -66 - -161. Let a(l) = 41*l + 43*l - y*l - l**2. What is the units digit of a(-8)?
4
Let y(n) = 7*n**3 + 13*n**2 + 2*n - 7. Let l(h) = -3*h**3 - 6*h**2 - h + 4. Let t(u) = 5*l(u) + 2*y(u). Let p be t(-5). What is the tens digit of (51/9)/(6/p)?
3
Suppose -9370 = -2*n - 3*m, 3*n + 7*m - 3*m = 14054. Let t = n - 3163. What is the units digit of t?
9
Let i = 8032 - -34808. What is the tens digit of i?
4
Suppose 0 = -0*s - 3*s + 4*n + 9, 4*s - 12 = 3*n. Suppose -4 = s*l + 14. Let w(f) = -19*f - 20. What is the tens digit of w(l)?
9
Suppose s = -5*s. Suppose r + r = -3*t + 1040, -2*t + 5*r + 706 = s. Suppose -t = -4*d + v, -2*d + 0*v + 168 = -2*v. What is the tens digit of d?
8
Let k(n) = n**2 - 24*n + 72. What is the tens digit of k(30)?
5
Suppose -7*a + 26 + 16 = 0. Suppose 864 = a*z - 2028. What is the tens digit of z?
8
Suppose -a = -1, 4*a = -5*p + 7299 - 520. Let h = -415 + p. What is the units digit of 1/(3764/h + -4)?
5
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