- 3. Suppose 0 = 5*g + 2*q - 4, 0 = 3*g - 0*g + 2*q - x. Suppose 3 = z + v - 44, z - 5*v - 77 = g. What is the units digit of z?
2
Suppose -3*n + 4*k = 2*n + 743, -451 = 3*n - 5*k. Let s = n + 378. What is the tens digit of s?
3
Let y(q) = 1078*q**2 - 91*q + 179. What is the thousands digit of y(2)?
4
Let r = 9 + -18. Let l(s) be the first derivative of -5*s**2 - 5*s + 20. What is the units digit of l(r)?
5
Let z = 36 + -23. Suppose -5*x + z = -2. Suppose -5*w = c - 92 - 123, -29 = -w - x*c. What is the units digit of w?
4
Let f be (-1104)/32*(-16)/3. Suppose 4*r - 2*r - f = -2*l, 0 = -4*l + 4*r + 336. What is the units digit of l?
8
Let s = 261 - 249. Suppose 2*q - 976 + s = 0. What is the hundreds digit of q?
4
Let t(b) = 2*b**2 + 2*b - 11. Let z be t(9). Let u = 184 - z. What is the units digit of u?
5
Let q(t) = t**3 + 31*t**2 + 56*t + 326. What is the thousands digit of q(17)?
5
Let p = 54 + -89. Let f be 276 - (-7)/(p/(-25)). Let i = -152 + f. What is the hundreds digit of i?
1
Suppose -4*r = -4, b + 3*b + 3*r + 1725 = 0. Let t = 676 + b. What is the units digit of t?
4
Suppose -45905 = 12*u - 55152 - 106073. What is the hundreds digit of u?
6
Let w(t) = 19*t**3 + 8*t**2 - 46*t + 144. What is the ten thousands digit of w(9)?
1
Let q be 3 + 17/((-51)/1566). Let z = q + 795. What is the units digit of z?
6
Suppose -2*a = -3*x + 44, -4*a + 64 = 4*x - 28. Suppose -x*m = -7707 - 2697. What is the tens digit of m?
7
Let x = 6901 + 3358. What is the tens digit of x?
5
Suppose -2*p - 12999 + 36751 = -2*d, 3*d = -4*p + 47539. What is the units digit of p?
1
Let y(u) = 9*u**2 + 6*u - 6. Let g = -57 + 55. Let n be (g + 1)/(9/(-2) + 4). What is the tens digit of y(n)?
4
Let b(n) = -722*n - 1385. What is the tens digit of b(-8)?
9
Suppose 4032 = 17*g - 15314. What is the tens digit of g?
3
Let x(y) = y**3 - 23*y**2 + 54*y + 43. Let r be x(24). Suppose 412*m - r = 407*m. What is the tens digit of m?
8
Let f be -4 - (-5 + 3) - 1. Let d be 5 + (-3 - f - 1). Suppose w - q - 45 = 0, d*w + 3*q = 3*w + 49. What is the tens digit of w?
4
Let x(t) = 29*t**3 + 11*t**2 - 13*t + 7. What is the ten thousands digit of x(7)?
1
Let w(h) = h**2 + 11*h + 7. Let b be w(-11). Suppose -13 = b*o - 69. Suppose 0 = -o*s + 5*s + 333. What is the hundreds digit of s?
1
Suppose 2*c - 9207 - 32026 = 2579. What is the thousands digit of c?
1
Suppose 5*l = 4*h + 6*l - 204924, 0 = 2*h + 8*l - 102432. What is the hundreds digit of h?
2
What is the thousands digit of (3 - -3) + -7 + 1810*(-9 - -17)?
4
Let q(g) = 1380*g - 163. What is the units digit of q(3)?
7
Suppose 4*f - 21652 = -3*o, -25*f + 24*f - 28882 = -4*o. What is the units digit of o?
0
Suppose 3*p + 28004 = -y, -2*p - 5*y = 8568 + 10084. What is the tens digit of ((8/(-6))/4)/(8/p)?
8
Let g(d) = -5565*d + 489. What is the tens digit of g(-2)?
1
Let q = 526 + -1068. Let a = -238 - q. What is the tens digit of a?
0
Suppose -80 = -3*p + h, -2*h - 58 = -2*p - 10. Suppose 0 = 4*a - p*a + 26112. What is the tens digit of a?
8
Let i(p) = 67*p**2 - 10. Let u be i(-8). Suppose -5*o - 3*b + u = 0, 5*o + 5*b + 0*b - 4280 = 0. What is the tens digit of o?
5
Let p(l) = -3*l**3 - 10*l**2 + 89*l + 774. What is the tens digit of p(-9)?
5
Let g be 146*(9/2 - 4). Suppose 164*l - g = 163*l. Suppose -5*z = 4*m - 550, -217 = -2*m + 5*z + l. What is the hundreds digit of m?
1
Let p(r) = 2*r**3 - 66*r**2 + 20*r - 16. What is the ten thousands digit of p(39)?
1
Let m(u) be the second derivative of -3*u**3 - 107*u**2 - 2*u + 16. What is the hundreds digit of m(-46)?
6
Suppose -67*n + 156470 = -161110. What is the units digit of n?
0
Suppose 6*h - 4*h + 30 = 0. Let j = h + 15. What is the units digit of (-7)/(j - 1/14)?
8
Suppose -5*v - 5*o = -560, -4*o = -4*v + 496 - 32. Let u be (-54)/15*(-3 - (-44)/33). Suppose -v = -u*k + 3*k. What is the units digit of k?
8
Let y(p) = p**3 + 38*p**2 + 138*p - 27. What is the hundreds digit of y(-23)?
7
Suppose -5*n = z + 2*z - 222, 190 = 5*n - 5*z. Suppose n*p - 38*p - 448 = 0. What is the hundreds digit of p?
1
Suppose 3*d = 0, -2*d + 4 = -n + 2. What is the tens digit of 362 - (n/(-2) - -2)?
5
Let k be 49/((-42)/6) + 9. Suppose 3*p - 705 = -k*i, p + 15 = -i + 251. What is the hundreds digit of p?
2
Suppose -37 + 40 = p. What is the tens digit of ((-984)/36)/(p/(-27))?
4
Let n(y) = -98*y + 36. Let g be n(11). Let h = -186 - g. What is the units digit of h?
6
Let w = -7227 - -9888. What is the units digit of w?
1
Let r(d) = 506*d - 818. What is the units digit of r(14)?
6
Suppose 3*h - 1012 = -17*i + 15*i, 0 = -2*h + 4. Let j = i - 38. What is the tens digit of j?
6
Let b = 434 - 427. Suppose -2*h + b*h = -3*w + 658, -5*w - 3*h = -1118. What is the units digit of w?
6
Let o = 33658 + -30392. What is the thousands digit of o?
3
Let w(f) = -226*f + 6. Suppose -5*l - 22 = 3*q, -9 = 3*q + 3. What is the tens digit of w(l)?
5
What is the units digit of ((-13)/((-52)/18) - 7)*-2850?
5
Suppose 0 = 3*n + v - 460, -2*v + 7*v = -25. Let q = n + -54. Suppose 0*o = o - 2*z - q, 0 = -z. What is the hundreds digit of o?
1
Let l(v) = 19*v + 17. Let p be ((8/4)/(-6))/((-2)/78). What is the hundreds digit of l(p)?
2
Suppose 0 = 4*y - 308 - 588. Suppose -355 = -t + y. What is the tens digit of t?
7
Let w = 45 - 13. Suppose 9*k - w = k. What is the units digit of (252 + 4)/(k + -2)?
8
Let k = 622 - -1625. Let v = 1694 + -947. Suppose -v + k = 6*q. What is the units digit of q?
0
Let k(q) be the second derivative of 65*q**3/3 + 5*q**2/2 - 10*q. Let y(u) = 129*u + 5. Let x(m) = -6*k(m) + 5*y(m). What is the tens digit of x(-1)?
3
Let m be 69 - (6 - (7 - 2)). Suppose m*q + 892 = 72*q. What is the tens digit of q?
2
Let j(a) = -5*a**2 - 31*a - 3. Let b be j(-6). Suppose -3*u + b = -2*u. Suppose -4*l = 3*q - 459, -u*q + 229 = 2*l - 2*q. What is the hundreds digit of l?
1
Let f = -3334 + 19743. What is the thousands digit of f?
6
Let p(f) be the second derivative of -3*f**5/20 - 11*f**4/6 - 7*f**3/6 + 2*f**2 + 13*f. Let n be p(-7). What is the units digit of (-2)/(-4)*(-1)/(n/(-888))?
1
Let d = -6497 + 11992. What is the units digit of d?
5
Let p = 68201 + -42223. What is the hundreds digit of p?
9
Let g be (-160)/(-72) + (-2)/9 - 14. Let m = 43 - 22. What is the tens digit of (g - 1)/((-7)/m)?
3
Let d(r) = r**3 + 6*r**2 - 18*r - 14. Let x be d(-8). Suppose -4*o - 1778 = -x*g - 2*o, 4*o = g - 898. What is the hundreds digit of g?
8
Suppose j - 5 = 0, -j + 1 = -a - 0*a. Suppose 3*s + 258 = v, -7*v = -3*v - a*s - 1032. Suppose v = u + 2*u. What is the units digit of u?
6
Suppose 6*b - 5 - 25 = 0. Suppose b*s = 2*n - 787, 5*n - 1996 = -2*s + 5*s. What is the hundreds digit of n?
4
Let p = -2346 - -3311. What is the hundreds digit of p?
9
Let m(s) = 7 - s**2 + 1 + 23*s - 7. What is the hundreds digit of m(16)?
1
Let k(s) = 14*s - 189. Let j(w) = 3*w - 2. Let v(g) = -28*j(g) + k(g). What is the units digit of v(-18)?
7
Suppose -13*w + 9801 = -8*w + 3*o, 0 = 4*w - o - 7851. Suppose 0 = -4*y + m + 2181, w = 4*y + 2*m - 216. What is the tens digit of y?
4
Let v = 1791 - -5558. What is the tens digit of v?
4
Suppose -28269 = -3105*v + 3096*v. What is the thousands digit of v?
3
Suppose i - 4*p - 388 = -4*i, -158 = -2*i + 3*p. Suppose -4*n = 4*o - i, n + n - 84 = -4*o. Suppose -z + o = -10. What is the tens digit of z?
3
Let h = -14953 - -33672. What is the tens digit of h?
1
What is the tens digit of (8651 - (-2 + 14 - 5)) + 9?
5
Let p(l) = 6 + 39*l + 6 - 2 - 5. What is the tens digit of p(5)?
0
Suppose 5 = 5*q, 5*q + 105459 = -681*j + 685*j. What is the ten thousands digit of j?
2
Let x = 192 - 136. Suppose 68*b - x*b = 6132. What is the hundreds digit of b?
5
Suppose -m - 5*w - 105 = -2*m, -359 = -3*m + 4*w. Suppose -4*f + 663 - m = z, 272 = 2*f + 2*z. What is the hundreds digit of f?
1
Let x(t) = -20*t - 175. Let o be x(-9). Suppose 0 = 2*y - 4*k - 102 - 124, 0 = -o*y + 4*k + 589. What is the hundreds digit of y?
1
Suppose f = 554 - 76. Suppose f - 40 = 3*z. What is the hundreds digit of z?
1
What is the hundreds digit of -2*((-16167597)/36)/23 - 2/12?
0
What is the units digit of (-72985)/(-15) - 4 - 168/63?
9
Let b = 348 - 131. Suppose 2*w + b = -195. Let d = w + 364. What is the units digit of d?
8
Let o be (2 + (-28)/3)/(32/(-96)