
1
Let k be 5/(-15) - (-14)/6. Suppose v = -4*r - 3 + 19, -4*v + 4*r + 164 = 0. Suppose k*p + v = 6*p. What is the units digit of p?
9
Let f(i) be the first derivative of i**6/90 - 7*i**5/120 + i**4/6 + 11*i**3/3 + 14. Let j(v) be the third derivative of f(v). What is the tens digit of j(5)?
6
Let a(l) = l**2 - 17*l + 161. Let f be a(11). Let p = 1129 + f. What is the thousands digit of p?
1
Let k be 64/(-24)*1/4*-3. Suppose 0*p = -3*h + 4*p + 3, -18 = k*h + 4*p. Let g(s) = 7*s**2 - 7*s - 4. What is the units digit of g(h)?
0
Let h(o) = 16*o**2 - 37*o + 3. Suppose 3*f = f + 12. Let w be h(f). Suppose w - 95 = 2*t. What is the tens digit of t?
3
What is the hundreds digit of 3 + (14/21)/(10/1181130)?
7
Let r = -5155 + 11395. Suppose 0 = -15*d - d + r. What is the hundreds digit of d?
3
Suppose 22*l + 120662 + 123868 = 0. What is the units digit of (-2*(-19)/(-6))/(95/l)?
1
Let b(m) = 4*m**2 + 27*m - 23. Let c be -3*339/54 - (-3)/(-18). What is the tens digit of b(c)?
0
Let v = 3028 + 11362. What is the tens digit of v?
9
Let k be 57/1*(-1284)/(-36). Suppose -19*h + k = -3249. What is the hundreds digit of h?
2
Let g be (4 - 2/3*8)*-3. Suppose 4*c = -g*n + 2084, -2*n + c = -n - 513. What is the tens digit of n?
1
Let m = -370 + 346. What is the hundreds digit of ((-934)/5)/(m/120)?
9
Let a(l) = -656*l + 961. What is the ten thousands digit of a(-21)?
1
Let u = -2242 - -2259. What is the units digit of u?
7
Suppose b - 27 = -2*w, -b - 5 = -w - 20. Let o be -2*14*b/4. Let q = o - -235. What is the hundreds digit of q?
1
Let y(g) = 3*g**2 - 14*g. Let o be y(13). Suppose 3*i + 6 = 5*i. Suppose j = 2*k - 130, 5*k + i*j - o = -0*k. What is the units digit of k?
5
Let t(i) = 3*i + 7. Let s be t(7). Let n be ((-127)/2)/(-4 + s/8). What is the units digit of n + 5/20*4?
8
Suppose 18*m + 4*n = 14*m - 4300, 2*m - 2*n = -2170. What is the hundreds digit of (16/(-10))/(9/m)?
1
Let j(a) be the first derivative of a**2 - 2*a + 32. Let p be j(2). Suppose 5*t - u + p*u = 148, 0 = 2*t + u - 61. What is the units digit of t?
9
Let x(m) = 130*m - 325. Let h be (-219)/(-17) + 3 + (-2)/(-17). What is the units digit of x(h)?
5
Let a(q) = -q**2 + 14*q - 3. Let b be a(11). Let h be 24/b*(-195)/6. Let j = 79 + h. What is the tens digit of j?
5
Suppose -4*z + 37 = 1. Suppose 0 = z*d - 133 - 38. What is the tens digit of d?
1
Suppose 0 = 2*x - 2*z - 14072, 8033 = 3*x - 5*z - 13087. What is the hundreds digit of x?
0
Let n = 256 - 286. Let l(i) = -2*i**2 - 68*i + 52. What is the tens digit of l(n)?
9
Let w(d) = d**2 - 10*d + 15. Let s be w(10). Suppose s*g + 903 = 22*g. What is the hundreds digit of g?
1
Let o be 3/7 - 8570/70. Let d = o + 124. What is the units digit of d?
2
Suppose 2*v - 14076 = -4*a + 11230, 3*a + 4*v = 18987. Suppose -3*c - 4421 = -3*p - 644, -a = -5*p - 5*c. What is the tens digit of p?
6
Suppose -3*q = 4*n, q - 2*n - 3*n = 19. Suppose -q*j = -2*s - 4904, j - 2*s - 1217 = -6*s. What is the hundreds digit of j?
2
Suppose -2*d + 3233 = 3*s - 19490, 56809 = 5*d + 8*s. What is the tens digit of d?
5
Let a be 204/24*(-1 - 1). Let w(j) = -j**2 - 15*j + 33. Let s be w(a). What is the units digit of s/((2/12)/((-481)/26))?
1
Let s(j) = -j**2 + 13*j - 24. Let y be s(3). What is the tens digit of -8 - -8 - y*(-1432)/12?
1
Let l(p) = 33*p**2 + 77*p - 49. What is the hundreds digit of l(-8)?
4
Suppose -23*d + 281664 = -834618. What is the tens digit of d?
3
Suppose -2564*x = -2589*x + 371750. What is the hundreds digit of x?
8
Let j(u) = 2*u**3 - 31*u**2 + 17*u - 24. Let k be j(15). Suppose -k*v + 454 = -5*v. What is the units digit of v?
4
Let g = 6512 - 3025. What is the thousands digit of g?
3
Let f = 16210 - 23504. What is the thousands digit of (-3)/(21/f) + 3?
1
What is the tens digit of 12/(((-21)/(-2))/7 + 1989306/(-1326348))?
8
Suppose -m - 26*q = -21*q - 2540, -4*m + 10016 = -4*q. What is the hundreds digit of m?
5
Let m(d) be the first derivative of 5*d**4/12 + d**3/3 + 7*d**2 + 22*d - 32. Let x(i) be the first derivative of m(i). What is the units digit of x(-7)?
5
Let q = -156 - -161. Let g(a) = 48*a + 30. What is the units digit of g(q)?
0
Let w(n) = n - 401. Let q be w(0). Let u = q + 819. What is the tens digit of u?
1
Let x be ((-4)/3)/(2/(-3)). Suppose 34 = -x*c + 92. Suppose 0 = -m + 81 - c. What is the tens digit of m?
5
Suppose 145*g - 105*g = 1889640. What is the hundreds digit of g?
2
Suppose -75 + 9 = -2*j. Let r = -27 + j. Suppose r*s - 648 = -3*s. What is the tens digit of s?
7
Let z be (-1413)/36*(-7 - (-2 + -1)). Let l = z - -64. What is the hundreds digit of l?
2
Let c(m) = m**3 + 15*m**2 - 31*m + 9. Let r be c(-14). Suppose -7*o + 10*o - r = -2*h, -h + 847 = 4*o. What is the tens digit of o?
1
Suppose 86*w - 35*w = 43*w + 54392. What is the thousands digit of w?
6
What is the tens digit of (5/1)/((-1095)/(-11169))?
5
What is the thousands digit of (-2)/38 - (-19413311)/2603?
7
Let c(b) = 8*b**2 - 2*b - 2. Let g(u) = -u**2 - 6*u + 2. Let j be g(-6). Let p be c(j). What is the tens digit of (-60)/18*(-4 - p)?
0
Suppose 0*h = 4*h - 5*s - 55085, -4*s = 2*h - 27510. What is the ten thousands digit of h?
1
Suppose 26 = -4*y + 34. Let i(d) = -6*d**3 + 0 + d**3 + d**y + 6*d**3 - 3*d + 3. What is the units digit of i(2)?
9
Let z(q) = -7*q**3 - q**2 + 6*q + 11. Let h be z(-4). Suppose -n - 3*g = g - h, 2*g - 1620 = -4*n. What is the units digit of n?
3
Let u = -2248 + 3991. What is the tens digit of u?
4
Suppose p + 25514 = h, 142396 = 5*h + 4*p + 14799. What is the units digit of h?
7
Let j be (-2 + (-28)/(-6))*(-54)/(-36). Suppose 3*v - 11*b - 1485 = -8*b, j*b + 495 = v. What is the units digit of v?
5
Let w(p) = 12*p + 142. Let m be w(-12). What is the tens digit of (-1058)/m + 8 + 4?
4
Suppose -592 = -3*d + 4*g, 3*g = -5*d + 7*g + 1000. Let b = 272 - d. What is the tens digit of b?
6
Suppose -3*y + 2*l + 54914 = 0, 818*l + 73214 = 4*y + 820*l. What is the units digit of y?
4
Let p(n) be the first derivative of 4 + 57*n + 3/2*n**2. What is the tens digit of p(22)?
2
Let m(r) = -r**3 + 15*r**2 + 2*r + 3. Let i be -10*((-110)/25 + 4). Suppose -30 = -i*z + 30. What is the tens digit of m(z)?
3
Let r(l) = l**2 - 14*l + 32. Let h be r(-14). Let t = -280 + h. What is the hundreds digit of t?
1
Let j be 46/(-6) - (48/(-9))/8. Let b(t) = 8*t**2 + 3*t - 14. What is the units digit of b(j)?
7
Let a = -145 + 149. Suppose 0 = u - a*h - 222, -3*u + 656 - 60 = 2*h. What is the units digit of u?
2
Let y = -5753 - -10866. What is the thousands digit of y?
5
Suppose g + 2*n = 0, 7*n = g + 12*n. Suppose -22*t + g*t = -7062. What is the units digit of t?
1
Let c be -29 + 3/1 - 2. Let j = c + 32. Suppose 0 = j*p - 0*p - 168. What is the tens digit of p?
4
Let a(r) = -5*r + 3. Let o be a(-13). Suppose -4*d + o + 60 = 0. What is the units digit of (-4)/d + 17/8?
2
Let b(g) be the first derivative of -g**4/3 - g**3/2 - g**2/2 + 18. Let n(d) be the second derivative of b(d). What is the units digit of n(-8)?
1
Suppose 44*n + 5751 = 71*n - 36531. What is the tens digit of n?
6
Let m(o) = 4*o**3 + o**2 + 3*o - 31. Suppose 0 = 2*z + 15 - 23. What is the tens digit of m(z)?
5
What is the thousands digit of 11040 - 119/14*4/17?
1
What is the hundreds digit of (24312/(-10) + (-308)/(-154))/((-1)/5)?
1
Let l(d) = 1981*d + 571. What is the hundreds digit of l(6)?
4
Suppose -5*j = 4*v - 27, -6*v = -v - 3*j - 6. What is the units digit of (v*5*1)/((-162)/(-216))?
0
Let u be (4 - -20)/(-6)*-885. Suppose 28*m - 18*m - u = 0. What is the tens digit of m?
5
Suppose -a + 2*s = -283, -s = 5*a + 4*s - 1430. Let w = 50 + -170. Let p = a + w. What is the hundreds digit of p?
1
Let a be (2/3)/(-3*12/(-702)). Suppose a*o - 719 = 1179. What is the units digit of o?
6
Let a(l) = 3*l + 1. Let z be a(-2). Let v be ((-26)/z)/(10/1000). Suppose -16*u = -12*u - v. What is the hundreds digit of u?
1
Suppose -7*i - 427584 = -71*i. What is the units digit of i?
1
Suppose -45*m + 1171654 = -23*m. What is the thousands digit of m?
3
Suppose -4*p = -4*q - 11080, q = 4*q - 6. What is the units digit of p?
2
Suppose -2*p - 3*p + 10 = 0. Let l(b) = -14*b**3 - 2*b**2 + b - 2. Let n be l(p). Let m = 250 + n. What is the hundreds digit of m?
1
Let b = -379 - -2892. What is the hundreds digit of b?
