 Suppose b - c + p = 0. What is the units digit of b?
5
What is the thousands digit of ((-21747)/(-6))/((-4)/6*(-132)/176)?
7
Let d(n) be the second derivative of n**4/12 + 17*n**3/6 - 37*n**2/2 + 15*n. Let k be d(-19). What is the tens digit of k/(-2) + (-1614)/(-12) - 3?
3
Let f(y) be the second derivative of y**5/20 + 2*y**4 + 3*y**3 + 57*y**2/2 - 4*y - 6. What is the units digit of f(-23)?
2
Let t(a) = 475*a**2 - 34*a - 51. What is the thousands digit of t(-4)?
7
Let l = 990 - 990. Suppose 0 = -5*m - 0*s + 2*s + 4160, l = 5*m - s - 4155. What is the hundreds digit of m?
8
Suppose -2*d + 4*d - 5*w - 853 = 0, 5*d - 2095 = 5*w. Suppose 2 + d = j. What is the tens digit of j?
1
Let i(j) = 2*j**3 - 207*j**2 + 1377*j + 127. What is the hundreds digit of i(97)?
3
Let p = 58 - 34. Let d be (1/(-6))/((-4)/p) - -1. What is the tens digit of 12/(-24) + 255/d?
2
Let o = 412 + 1023. Suppose -5*q + 3*g + o - 231 = 0, -q + 4*g + 234 = 0. What is the units digit of q?
2
Let u be (-4)/5 - 917/35. Let q be -66*((-10)/2 + u). What is the units digit of 1*q/9 + (-14)/(-42)?
5
Suppose 21*c - 62*c = -328. Let h(u) = 3*u**3 + 9*u**2 - 31*u - 8. What is the units digit of h(c)?
6
Let b(i) be the second derivative of -80*i**3/3 + 46*i**2 + 129*i. What is the hundreds digit of b(-6)?
0
Let y = -434 + 434. Suppose y = -w - u + 3*u + 1057, 2*w - 2141 = -5*u. What is the hundreds digit of w?
0
Suppose 2*h - 68035 = 2*z + 57265, 2*z = -5*h + 313299. What is the thousands digit of h?
2
Let c(y) = y**2 - 11*y + 14. Let f(q) = -q**3 - 19*q**2 - 52*q - 36. Let w be f(-16). What is the units digit of c(w)?
0
Let b = -44629 + 96920. What is the tens digit of b?
9
Let h = 12501 - 7189. What is the hundreds digit of h?
3
Let y(b) = b**2 - 6*b + 21. Let d be (4 - 2)*(-4)/8*10. Let q be y(d). Suppose 3*k = 95 + q. What is the tens digit of k?
9
Let o(q) = -3*q**2 - 9*q - 3*q**2 + 76 + 5*q + 16*q**2. What is the hundreds digit of o(7)?
5
Suppose -2*j + 0*d - 2*d + 66824 = 0, -9*d = 54. What is the ten thousands digit of j?
3
Let n = -1040 - -224. Let x = n + 507. What is the tens digit of 5/30*-2*x?
0
Suppose 2*v + k - 1 - 6 = 0, 4*v = k + 17. Suppose 2*j - 34 = -v*o + o, 0 = 2*o - 2*j - 16. Suppose 3*w - o*w = -553. What is the units digit of w?
9
Suppose -2*u + 5*t = 2*u + 86, -2*u + t = 46. Let s = -16 - u. Let k(f) = -f**3 + 9*f**2 - 6*f + 12. What is the units digit of k(s)?
8
Suppose 0 = -3*p - 3, -2*t = -4*t - p + 1559. Suppose 9*j - 399 = t. What is the units digit of j?
1
Let f(p) = -4*p + 14*p + 14*p + 13 + 21. Let o(w) = w**3 - 22*w**2 + 43*w - 55. Let h be o(20). What is the tens digit of f(h)?
5
Let f(b) = b**3 - 14*b**2 + 18*b - 39. Let a(c) = c + 19. Let u be a(-4). What is the units digit of f(u)?
6
Let f(g) = -113*g - 269. Let k be f(-14). Let t = k - -134. What is the thousands digit of t?
1
Let g(f) be the second derivative of f**3/2 + 17*f**2/2 - f - 16. Let l = 27 + -19. What is the units digit of g(l)?
1
Let c be (71 - 69) + (-1 - -11). Suppose 3*u + c = 0, -r + 5*u + 323 + 41 = 0. What is the tens digit of r?
4
Let p = -208 + 221. Suppose -p*b = -1961 - 808. What is the units digit of b?
3
What is the thousands digit of (-552)/(-483) + (-81857)/(-7)?
1
What is the tens digit of (-21 - 17)*(-72 - -7)?
7
Let b = 18727 - -12614. What is the thousands digit of b?
1
Let d(p) = -91*p - 775. What is the hundreds digit of d(-51)?
8
Let o(u) = -8*u + 78. Let j be o(11). Let h = j - -304. What is the hundreds digit of h?
2
Let i(g) = -g**2 - 3*g + 27. Let r be i(-7). What is the units digit of (-1288 + r)/((-7 - -11) + -5)?
9
Let u(v) = v**3 - v**2 + 27*v + 2. Let p be u(0). Suppose -2*c + h = -1191, -c - p*h = -6*h - 585. What is the tens digit of c?
9
What is the thousands digit of (98/(-35))/(9/(-216135))?
7
Suppose -1049802 = -11*b - 62*b - 5*b. What is the ten thousands digit of b?
1
Let u be (-2 - -67364)*(-9 - 56/(-6)). Suppose 0 = 23*d - u - 4433. What is the thousands digit of d?
1
Let f(d) = 9 + 30 - 2*d - 6*d**3 + 0*d**3 + 5*d**3. Let w = 6 - 6. What is the units digit of f(w)?
9
What is the thousands digit of ((-62073)/684)/(2/(-4))*1324/6?
0
Suppose -44*i = -43*i + 3, -3*u - 3*i + 26817 = 0. What is the tens digit of u?
4
Suppose 4*t + u - 167 = -4*u, 0 = 5*u - 15. Let v = -53 + t. What is the units digit of (-4 + -1)*(249/v + -3)?
8
Let s(n) be the first derivative of 25*n**2/2 + 4*n + 17. Let a be s(3). Let u = -3 + a. What is the units digit of u?
6
Let c(y) = -6 + 1 - 15*y - 2*y**2 + 1. Let j be c(-7). Suppose -27 = j*p - 132. What is the units digit of p?
5
Let d = 12523 + -5528. What is the tens digit of d?
9
Let c = -15 - -14. Let o be -9 + 15 + -1 + c. What is the tens digit of (6/(-9))/(o/(-150))*1?
2
Let b(a) = -a**3 + 60*a**2 + 120*a - 197. What is the ten thousands digit of b(41)?
3
Suppose -14 = j - 24. Let y(l) = -l**3 + 14*l**2 - 10*l + 21. What is the units digit of y(j)?
1
Suppose 0 = -y - 4*f - 18, 2*y + 38 = 4*f + 14. What is the hundreds digit of y*2*(558/(-8))/9?
2
Let t(n) = -8*n - 58. Let i be t(-7). Let w be i - 68*(-2)/(-4). What is the tens digit of ((-10)/(-15))/((-1)/w)?
2
Let s = -136 - -136. Suppose 975 + 316 = 4*a - 5*u, -2*u + 10 = s. What is the tens digit of a?
2
Let s(k) = -2*k**2 + 7*k + 4. Let o(z) = 2*z**2 - 6*z - 5. Let p(m) = 5*o(m) + 4*s(m). Suppose 3*y = -9 - 12. What is the hundreds digit of p(y)?
1
Let v be (2 + -1)/(4/(-4))*-3. Let o be v + (-2)/(-4)*-6 + 3. What is the tens digit of (o*7)/(1/4)?
8
Suppose -2*g + 68239 = 16*g - 79775. What is the tens digit of g?
2
Let m be (-1 + 7)*((-20)/(-12) - 2). Let g(a) = 5*a + 3. Let q(t) = 25*t + 15. Let u(b) = m*q(b) + 11*g(b). What is the units digit of u(3)?
8
Let c(p) = -6 - 39*p + 5 + 12 + 6. Let j = -37 + 31. What is the units digit of c(j)?
1
Let h = 881 - 1566. Let u = h - -1858. What is the units digit of u?
3
Let m = -22 - -25. Suppose -16 = -4*o - 3*l, 6 + 6 = m*o + 2*l. Suppose 110 = n + o*n. What is the tens digit of n?
2
Suppose -5*y - 23 = -k, -y - 139 = -3*k - 0*k. Suppose -5*b - v + 71 = 15, 2*v + 44 = 3*b. Let t = b + k. What is the units digit of t?
0
Suppose 21929*j = 21913*j + 156928. What is the thousands digit of j?
9
Suppose -13*s + 60582 + 28430 = -67144. What is the units digit of s?
2
Suppose 0 = 66*q - 79*q + 6877. What is the units digit of q?
9
Suppose -210483 = -14*b - 125909 + 389648. What is the ten thousands digit of b?
3
Let j = 1809 - 1435. Let h be (-3 - -26)/((-2)/(-2)). Suppose -21*z = -h*z + j. What is the tens digit of z?
8
What is the thousands digit of 8 + (-1260)/154 + 645594/22 + -4?
9
Let c(y) = 47*y + 1851. What is the thousands digit of c(41)?
3
Suppose 2*b - 745 = -5*q, 4*q - 8 = -4. Suppose -8 = 4*w, 5*i + 5*w - b = i. What is the units digit of i?
5
Suppose -21*h - 410380 = -h. What is the tens digit of ((-2)/7 + h/238)*-4?
4
Suppose 0 = 5*m - 3*c - 13, -5*c - 4 = 1. Let p be 7946/29*(m/(-2))/(-2). Let l = -18 + p. What is the hundreds digit of l?
1
Suppose 4*u - 8 = 6*u, -2*s + 1278 = 5*u. Suppose 4*r - 475 = s. What is the hundreds digit of r?
2
What is the ten thousands digit of (-2 + (-339 - (-2 + 7)))/(8/(-292))?
1
Let y = 10053 + 1219. What is the thousands digit of y?
1
Let q = 9277 - -5585. What is the tens digit of q?
6
Let j = -10 - -10. Suppose j*g + 45 = -3*g. What is the units digit of (-24)/(g/21 - (-10)/(-35))?
4
Suppose 7*k + 22105 = 8*k - 4*t, 0 = k - 2*t - 22109. What is the units digit of k?
3
Let w be -3 - (12/18)/(6/9). What is the units digit of (-2)/11 - (w - (-30015)/(-99))?
7
Suppose -5*r - 10 = 0, 5*v + 6 - 54 = 4*r. Suppose v*j = 1008 + 72. What is the hundreds digit of j?
1
Let h be (21/56)/(1/8). Suppose 3*f - h*d = d + 3121, -2*f = d - 2099. What is the hundreds digit of f?
0
Let m = 22299 + -13875. What is the thousands digit of m?
8
What is the units digit of -26104*17/(-38) - (-4)/(-38)?
8
Let g(f) = -262*f**3 + f**2 - 26*f + 9. Let s be g(3). What is the tens digit of (s/(-116))/(2/24)?
3
What is the ten thousands digit of (2 + 13565)*(69 + -65)?
5
Suppose 3*t - 5*t + 2*f + 1690 = 0, f + 4229 = 5*t. What is the units digit of t?
6
Suppose 90*k - 439288 = 696062. What is the units digit of k?
5
Let b(y) = y + 8. Let f be b(-6). Suppose x - f*x + 182 = 0. Suppose -2*w = v - 0*w - 8