?
5
Let f(k) be the third derivative of k**6/40 + 5*k**4/24 - k**3 - 5*k**2. Let r be f(-3). Let s = r - -129. What is the tens digit of s?
2
Suppose 12*y + 20*y + 27*y = 4052297. What is the tens digit of y?
8
Let p(v) = -18*v - 104. Let c be p(-6). Suppose -1544 = -5*i + c*s, i + s - 304 = -3*s. What is the tens digit of i?
0
Let p = 26970 - 14821. What is the units digit of p?
9
Suppose -7*f + 141 = 631. Let a = f - -87. Let h = 167 - a. What is the hundreds digit of h?
1
Let y = 10921 - 433. What is the thousands digit of y?
0
Suppose -5*q - 105*h + 155616 = -102*h, 3*q = -h + 93376. What is the tens digit of q?
2
Let h(t) = 40*t**2 + 44*t + 2254. What is the thousands digit of h(-30)?
6
Let j(v) = -12*v + 12. Suppose -u - 5*u + 12 = 0. Let w be j(u). Let z(b) = -b + 5. What is the tens digit of z(w)?
1
Suppose 5*l + 3*c - 19 = 2*c, -2*l = 2*c - 6. Suppose -5*m + l*r = -21, 3*r + 12 = 2*m + m. Suppose m*t = 9*t - 244. What is the tens digit of t?
6
What is the tens digit of (4*(-51)/(-34))/((-17171)/(-5723) + -3)?
6
Suppose 0 = -3*z + 32 + 19. Let h = -3 + z. Suppose 954 = h*a - 8*a. What is the units digit of a?
9
Let w be 0 - ((-3 - -2) + 7). Let i = 5178 - 5192. What is the tens digit of (i/w)/(5/435)?
0
Let b(w) be the third derivative of 17*w**6/30 + w**5/60 + w**4/12 - 5*w**3/6 - w**2 - 3. What is the units digit of b(2)?
7
Let d(u) be the third derivative of 7*u**6/120 + u**5/10 - 17*u**4/24 + 15*u**3/2 + 7*u**2 + 6*u. What is the units digit of d(6)?
1
Suppose 42*i - 2427 = 2361. What is the hundreds digit of i?
1
Let z be (-1)/(3 - 7346/2448). Suppose -19*k - z = -25*k. What is the tens digit of k?
0
Suppose -i - 52 + 164 = 0. Suppose 6*u + u = i. Suppose -3*w = -2*w + 4*z - 202, 4*z = u. What is the hundreds digit of w?
1
Let y(h) = -4*h + 1. Let f be y(1). Let k = -9 + f. Let i = k - -110. What is the tens digit of i?
9
Let t = 36628 + 2907. What is the ten thousands digit of t?
3
Let o be -2 - (-2152 + (3 - -2 - 1)). Let j = -742 + o. What is the thousands digit of j?
1
Suppose 0 = -2*v + 3*k + 103, 3*v - 196 = 2*k - 29. Let t be ((5 + 1)*-1)/(-2). Suppose 3*q + x = -x + 31, -t*q + v = -5*x. What is the units digit of q?
3
Let f(k) = -2*k - 6. Let g be f(-4). Suppose 0 = g*t - 648 - 1008. Suppose 17*b = 5*b + t. What is the tens digit of b?
6
Let i be (-12)/18 + 2/(-6). Let p be (-8 - (-33)/(-2))*2*i. What is the units digit of (4/(-14))/((-14)/p) - -166?
7
Let g(r) = 4402*r**3 + 2*r**2 - 12*r + 10. Let n be g(1). Suppose i + n - 535 = 5*p, -4*p - 4*i + 3084 = 0. What is the units digit of p?
3
Let w(o) = -86*o + 3890. What is the units digit of w(-67)?
2
Let f = -88132 - -147015. What is the thousands digit of f?
8
Let h(v) = 1 + 2 - 2 + 19*v**2 - 20*v**2 + 64*v**3 + 4*v. What is the tens digit of h(2)?
1
Let m = 930 + -652. Suppose j - 251 = m. What is the tens digit of j?
2
Let g = -599 - -1201. Suppose -4*u + g = 3*u. Suppose 8*m - 1138 = u. What is the hundreds digit of m?
1
Let o be (1 + 1 - 2)/3. Let l(k) = 3*k**3 + k**2 + k + 82. What is the tens digit of l(o)?
8
Let d(j) = -j**3 - 2*j**2 - 4*j + 2. Let p(r) = r**2 + 12*r + 12. Let i be p(-10). Let s be i - (-2 + -2 - 0). What is the tens digit of d(s)?
5
Let i(u) = -6*u**2 - 11*u - 5. Let j(c) = -7*c**2 - 11*c - 6. Let k(g) = -3*i(g) + 2*j(g). What is the units digit of k(-11)?
6
Suppose 0*c + 31 = 3*d + 5*c, -2*c = 4*d - 32. Let g(b) = b**3 + b**2 + b + 382. Let x be g(0). Suppose -x = -d*a + 66. What is the tens digit of a?
6
Let a(r) = 24*r**2 + 143*r + 1176. What is the tens digit of a(53)?
7
Let y be 447/(-3)*(1 + 8 - 0). Let s = -554 - y. What is the units digit of s?
7
Suppose 4*f = -m + 2, 0*f - 10 = -f - 5*m. Let k(q) = 2*q + 30 - 6 + 10 + 0. What is the tens digit of k(f)?
3
Suppose v + u + 2*u = -8, -4*v = 4*u. Suppose -4*s + 1328 - 387 = -k, 5*s - v*k - 1179 = 0. What is the units digit of s?
5
Suppose 0 = 415*j - 411*j - 5064. What is the units digit of j?
6
Let s(o) = 2*o**2 + 2*o - 9. Let h(j) = -6*j**2 - 5*j + 26. Let u = -44 + 51. Let t(m) = u*s(m) + 2*h(m). What is the hundreds digit of t(7)?
1
Let g = -20 + 23. Let s be (g + 3/(-6))*2. Suppose -s*t + 0*t = 0, 0 = 5*j - 4*t - 145. What is the tens digit of j?
2
Let l = 7 + -98. What is the units digit of (l/2)/((-6)/(206 - 2))?
7
Let a(t) = 5*t**2 - 271*t - 49. What is the thousands digit of a(70)?
5
Let z be -4 + 10/(-4)*240/(-150). What is the units digit of -23*(z + -16 + -1)?
1
Let m be ((-123)/3)/((-6)/(-192)). Let b = m - -2185. Suppose 0 = -10*q - b + 2593. What is the hundreds digit of q?
1
Let x be (-9)/(-24) + 1286/(-16). Let m = x - -76. What is the units digit of (3 + m)*(-46 - 7)?
3
Suppose 5*a - 2*q - 15045 = 0, 167*a + 9006 = 170*a + 3*q. What is the hundreds digit of a?
0
Suppose -4*i + c + 156804 = 0, i - 54650 = -5*c - 15449. What is the hundreds digit of i?
2
Suppose 5*v - 5*j - 3930 = 0, j = -4*v + 2*j + 3138. Suppose 10*g - v = 206. What is the units digit of g?
9
Let c = 5347240 + -2021110. What is the thousands digit of 4/(-38) + c/1710?
1
Let l(n) = 155*n**2 + 21*n - 3. Let f be l(-3). Let k = f + -664. What is the hundreds digit of k?
6
Suppose 0 = -r + 4*s - 10, -4*r - 4*s = -0*r - 20. Suppose z - 3*z + 4 = 0. Suppose 0 = z*h + 4*c - 150, -3*c - 203 = -r*h - 25. What is the tens digit of h?
8
What is the units digit of -3 - (-9190 - (2 - (6 - 12)))?
5
Let u(a) = a**2 - 24*a + 43. Let w be u(11). Let z = 445 - w. What is the tens digit of z?
4
Let i be ((-340)/5)/(-4)*1. Suppose -4*y = -3*j, 2*j - 3*y + i = -6*y. What is the units digit of 82 + 16/4 - j?
0
Suppose 0 = -21*u + 19*u + 68. Suppose -7*h + u - 13 = 0. Suppose -j = h*j - 416. What is the hundreds digit of j?
1
Let o be (-1)/2*(1 + 3 + -2). What is the tens digit of (1454 - -18) + o + -6?
6
Let p = -4 + 9. Let d(i) = -151*i - 87. Let v be d(-8). Suppose p*x - v = -s, -s + 446 = x + x. What is the tens digit of x?
2
Let n(a) = 19*a**2 - a - 1. Suppose -175 = 4*r + 3*r. Let w = -26 - r. What is the tens digit of n(w)?
1
Suppose -h + 3*m + 52 = -2*h, 2*m - 328 = 5*h. What is the units digit of ((-2)/5)/(h/273440)?
9
Let l be (5 + -7)/((12/(-69))/(-2)). Let d = 21 + l. What is the units digit of (-150 - 22)/((d/1)/2)?
2
Let n = -188 + 268. Let o be (0 - 1)*n/(-20). Suppose 0 = -3*h, 0 = 4*f + o*h + 68 - 408. What is the tens digit of f?
8
Let s be (6*12/(-18))/2 - 1. What is the units digit of (22281/(-23))/s - (-6)/69?
3
Let s = -569 - -835. Let r = s + -143. What is the hundreds digit of r?
1
Let k = -14518 - -47219. What is the ten thousands digit of k?
3
Let c(x) = x**2 - 3*x - 6. Let q be c(5). Let f(y) = -y**2 + 4*y + 5. Let r be f(q). Suppose d + r = 22. What is the tens digit of d?
1
Suppose -3*l - 22533 = -5*p, 84*l - 81*l - 13515 = -3*p. What is the tens digit of p?
0
Let r = 3988 - 643. What is the hundreds digit of r?
3
Suppose 2333*y - 2339*y + 1104 = 0. Suppose 0 = 5*z - 3*n + 300, 4*n + 40 = 3*z + 220. Let m = y + z. What is the tens digit of m?
2
Let r(a) = a**2 - 26*a + 9. Let b be r(26). Let l(w) = -w**3 + 9*w**2 - w + 21. Let q be l(b). Let x = q + 76. What is the tens digit of x?
8
Suppose 3*x + 0*f = 3*f + 9, -f + 2 = 0. Suppose -x*a + 3 = 5*g - 1797, -1430 = -4*a + g. What is the hundreds digit of a?
3
Let q(u) = 220*u**2 - 17*u + 89. What is the hundreds digit of q(5)?
5
What is the tens digit of (5/(-3) - (-384448)/96) + -8?
9
What is the tens digit of (-14 + (-445939)/26)*(2 - 8/2)?
3
Suppose 4*v - 433 = j, -2*j + 321 + 1 = 3*v. Let i = v + -106. Suppose 0 = -i*o - 34 + 158. What is the units digit of o?
2
Suppose 3*w + 755584 = 5*v - 1684330, 0 = 5*v - 5. What is the units digit of 1/6 + (w/54)/(-23)?
5
What is the ten thousands digit of ((-2)/((-16)/(-36)))/(11/(-24530))?
1
Let l(t) = -11*t - 172. Let q(s) = -2*s. Let a(c) = l(c) + 6*q(c). What is the units digit of a(-38)?
2
Suppose 0 = 80*q + 239457 - 618005 - 2670332. What is the ten thousands digit of q?
3
Suppose 0 = -3*j - 71 + 353. Suppose -294 = -2*v - 4*l, 4*l - 61 - j = -v. What is the tens digit of v?
3
Suppose 2*g = -r - 6, 2*g + 0 = 4*r + 4. Let i be (-7 - -9)*(r + (-14)/(-4)). Suppose 2*h + 5*a = 103, i*h + h + a = 161. What is the units digit of h?
9
Let f(o) = 97*o**2 + 99*o - 1720. What is the hundreds digit of f(18)?
4
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